Repository: latentcat/graphpu
Branch: master
Commit: d5a77c6dc545
Files: 527
Total size: 8.3 MB

Directory structure:
gitextract_tbwiaigk/

├── .gitignore
├── Cargo.toml
├── README.md
├── build.rs
├── examples/
│   ├── dataset/
│   │   ├── email_data_edge.csv
│   │   ├── small_data_edge.csv
│   │   ├── small_data_edge_raw.csv
│   │   ├── test_data_edge.csv
│   │   ├── test_data_edge_single.csv
│   │   ├── test_data_node.csv
│   │   └── test_data_node_very_very_long_name.csv
│   └── test_file.rs
├── lib/
│   └── naga/
│       ├── .github/
│       │   └── workflows/
│       │       ├── lazy.yml
│       │       ├── pipeline.yml
│       │       ├── validation-linux.yml
│       │       ├── validation-macos.yml
│       │       └── validation-windows.yml
│       ├── .gitignore
│       ├── CHANGELOG.md
│       ├── Cargo.toml
│       ├── LICENSE-APACHE
│       ├── LICENSE-MIT
│       ├── Makefile
│       ├── README.md
│       ├── aa.metal
│       ├── benches/
│       │   └── criterion.rs
│       ├── cli/
│       │   ├── Cargo.toml
│       │   └── src/
│       │       └── main.rs
│       ├── debug/
│       │   ├── CS_boids.metal
│       │   ├── CS_boids.spv
│       │   ├── CS_boids.wgsl
│       │   ├── atomic.metal
│       │   ├── atomic.spv
│       │   ├── atomic.spvasm
│       │   └── atomic.wgsl
│       ├── fuzz/
│       │   ├── .gitignore
│       │   ├── Cargo.toml
│       │   └── fuzz_targets/
│       │       ├── glsl_parser.rs
│       │       ├── ir.rs
│       │       ├── spv_parser.rs
│       │       └── wgsl_parser.rs
│       ├── src/
│       │   ├── arena.rs
│       │   ├── back/
│       │   │   ├── dot/
│       │   │   │   └── mod.rs
│       │   │   ├── glsl/
│       │   │   │   ├── features.rs
│       │   │   │   ├── keywords.rs
│       │   │   │   └── mod.rs
│       │   │   ├── hlsl/
│       │   │   │   ├── conv.rs
│       │   │   │   ├── help.rs
│       │   │   │   ├── keywords.rs
│       │   │   │   ├── mod.rs
│       │   │   │   ├── storage.rs
│       │   │   │   └── writer.rs
│       │   │   ├── mod.rs
│       │   │   ├── msl/
│       │   │   │   ├── keywords.rs
│       │   │   │   ├── mod.rs
│       │   │   │   ├── sampler.rs
│       │   │   │   └── writer.rs
│       │   │   ├── spv/
│       │   │   │   ├── block.rs
│       │   │   │   ├── helpers.rs
│       │   │   │   ├── image.rs
│       │   │   │   ├── index.rs
│       │   │   │   ├── instructions.rs
│       │   │   │   ├── layout.rs
│       │   │   │   ├── mod.rs
│       │   │   │   ├── recyclable.rs
│       │   │   │   ├── selection.rs
│       │   │   │   └── writer.rs
│       │   │   └── wgsl/
│       │   │       ├── mod.rs
│       │   │       └── writer.rs
│       │   ├── block.rs
│       │   ├── front/
│       │   │   ├── glsl/
│       │   │   │   ├── ast.rs
│       │   │   │   ├── builtins.rs
│       │   │   │   ├── constants.rs
│       │   │   │   ├── context.rs
│       │   │   │   ├── error.rs
│       │   │   │   ├── functions.rs
│       │   │   │   ├── lex.rs
│       │   │   │   ├── mod.rs
│       │   │   │   ├── offset.rs
│       │   │   │   ├── parser/
│       │   │   │   │   ├── declarations.rs
│       │   │   │   │   ├── expressions.rs
│       │   │   │   │   ├── functions.rs
│       │   │   │   │   └── types.rs
│       │   │   │   ├── parser.rs
│       │   │   │   ├── parser_tests.rs
│       │   │   │   ├── token.rs
│       │   │   │   ├── types.rs
│       │   │   │   └── variables.rs
│       │   │   ├── interpolator.rs
│       │   │   ├── mod.rs
│       │   │   ├── spv/
│       │   │   │   ├── convert.rs
│       │   │   │   ├── error.rs
│       │   │   │   ├── function.rs
│       │   │   │   ├── image.rs
│       │   │   │   ├── mod.rs
│       │   │   │   └── null.rs
│       │   │   └── wgsl/
│       │   │       ├── construction.rs
│       │   │       ├── conv.rs
│       │   │       ├── lexer.rs
│       │   │       ├── mod.rs
│       │   │       ├── number.rs
│       │   │       └── tests.rs
│       │   ├── keywords/
│       │   │   ├── mod.rs
│       │   │   └── wgsl.rs
│       │   ├── lib.rs
│       │   ├── proc/
│       │   │   ├── index.rs
│       │   │   ├── layouter.rs
│       │   │   ├── mod.rs
│       │   │   ├── namer.rs
│       │   │   ├── terminator.rs
│       │   │   └── typifier.rs
│       │   ├── span.rs
│       │   └── valid/
│       │       ├── analyzer.rs
│       │       ├── compose.rs
│       │       ├── expression.rs
│       │       ├── function.rs
│       │       ├── interface.rs
│       │       ├── mod.rs
│       │       └── type.rs
│       └── tests/
│           ├── in/
│           │   ├── access.param.ron
│           │   ├── access.wgsl
│           │   ├── binding-arrays.param.ron
│           │   ├── binding-arrays.wgsl
│           │   ├── bitcast.params.ron
│           │   ├── bitcast.wgsl
│           │   ├── bits.param.ron
│           │   ├── bits.wgsl
│           │   ├── boids.param.ron
│           │   ├── boids.wgsl
│           │   ├── bounds-check-image-restrict.param.ron
│           │   ├── bounds-check-image-restrict.wgsl
│           │   ├── bounds-check-image-rzsw.param.ron
│           │   ├── bounds-check-image-rzsw.wgsl
│           │   ├── bounds-check-restrict.param.ron
│           │   ├── bounds-check-restrict.wgsl
│           │   ├── bounds-check-zero-atomic.param.ron
│           │   ├── bounds-check-zero-atomic.wgsl
│           │   ├── bounds-check-zero.param.ron
│           │   ├── bounds-check-zero.wgsl
│           │   ├── break-if.wgsl
│           │   ├── collatz.param.ron
│           │   ├── collatz.wgsl
│           │   ├── control-flow.param.ron
│           │   ├── control-flow.wgsl
│           │   ├── cubeArrayShadow.wgsl
│           │   ├── empty.param.ron
│           │   ├── empty.wgsl
│           │   ├── extra.param.ron
│           │   ├── extra.wgsl
│           │   ├── functions-webgl.param.ron
│           │   ├── functions-webgl.wgsl
│           │   ├── functions.param.ron
│           │   ├── functions.wgsl
│           │   ├── globals.param.ron
│           │   ├── globals.wgsl
│           │   ├── glsl/
│           │   │   ├── 210-bevy-2d-shader.frag
│           │   │   ├── 210-bevy-2d-shader.vert
│           │   │   ├── 210-bevy-shader.vert
│           │   │   ├── 246-collatz.comp
│           │   │   ├── 277-casting.vert
│           │   │   ├── 280-matrix-cast.vert
│           │   │   ├── 484-preprocessor-if.vert
│           │   │   ├── 800-out-of-bounds-panic.vert
│           │   │   ├── 896-push-constant.vert
│           │   │   ├── 900-implicit-conversions.vert
│           │   │   ├── 901-lhs-field-select.vert
│           │   │   ├── 931-constant-emitting.vert
│           │   │   ├── 932-for-loop-if.vert
│           │   │   ├── bevy-pbr.frag
│           │   │   ├── bevy-pbr.vert
│           │   │   ├── bits_glsl.frag
│           │   │   ├── bool-select.frag
│           │   │   ├── buffer.frag
│           │   │   ├── clamp-splat.vert
│           │   │   ├── constant-array-size.vert
│           │   │   ├── declarations.vert
│           │   │   ├── expressions.frag
│           │   │   ├── fma.frag
│           │   │   ├── global-constant-array.vert
│           │   │   ├── images.frag
│           │   │   ├── long-form-matrix.vert
│           │   │   ├── math-functions.vert
│           │   │   ├── prepostfix.frag
│           │   │   ├── quad_glsl.frag
│           │   │   ├── quad_glsl.vert
│           │   │   ├── sampler-functions.frag
│           │   │   ├── samplers.frag
│           │   │   ├── statements.frag
│           │   │   └── swizzle_write.frag
│           │   ├── image.param.ron
│           │   ├── image.wgsl
│           │   ├── interface.param.ron
│           │   ├── interface.wgsl
│           │   ├── interpolate.param.ron
│           │   ├── interpolate.wgsl
│           │   ├── lexical-scopes.wgsl
│           │   ├── math-functions.param.ron
│           │   ├── math-functions.wgsl
│           │   ├── multiview.param.ron
│           │   ├── multiview.wgsl
│           │   ├── multiview_webgl.param.ron
│           │   ├── multiview_webgl.wgsl
│           │   ├── operators.param.ron
│           │   ├── operators.wgsl
│           │   ├── padding.param.ron
│           │   ├── padding.wgsl
│           │   ├── pointers.param.ron
│           │   ├── pointers.wgsl
│           │   ├── policy-mix.param.ron
│           │   ├── policy-mix.wgsl
│           │   ├── push-constants.param.ron
│           │   ├── push-constants.wgsl
│           │   ├── quad.param.ron
│           │   ├── quad.wgsl
│           │   ├── shadow.param.ron
│           │   ├── shadow.wgsl
│           │   ├── skybox.param.ron
│           │   ├── skybox.wgsl
│           │   ├── spv/
│           │   │   ├── degrees.spv
│           │   │   ├── empty-global-name.spv
│           │   │   ├── empty-global-name.spvasm
│           │   │   ├── inv-hyperbolic-trig-functions.spv
│           │   │   ├── quad-vert.spv
│           │   │   └── shadow.spv
│           │   ├── standard.param.ron
│           │   ├── standard.wgsl
│           │   ├── texture-arg.param.ron
│           │   ├── texture-arg.wgsl
│           │   └── variations.glsl
│           ├── out/
│           │   ├── analysis/
│           │   │   ├── collatz.info.ron
│           │   │   └── shadow.info.ron
│           │   ├── dot/
│           │   │   └── quad.dot
│           │   ├── glsl/
│           │   │   ├── access.assign_through_ptr.Compute.glsl
│           │   │   ├── access.atomics.Compute.glsl
│           │   │   ├── access.foo_frag.Fragment.glsl
│           │   │   ├── access.foo_vert.Vertex.glsl
│           │   │   ├── bitcast.main.Compute.glsl
│           │   │   ├── bits.main.Compute.glsl
│           │   │   ├── boids.main.Compute.glsl
│           │   │   ├── bounds-check-image-restrict.fragment_shader.Fragment.glsl
│           │   │   ├── bounds-check-image-rzsw.fragment_shader.Fragment.glsl
│           │   │   ├── break-if.main.Compute.glsl
│           │   │   ├── control-flow.main.Compute.glsl
│           │   │   ├── cubeArrayShadow.fragment.Fragment.glsl
│           │   │   ├── empty.main.Compute.glsl
│           │   │   ├── functions-webgl.main.Vertex.glsl
│           │   │   ├── functions.main.Compute.glsl
│           │   │   ├── globals.main.Compute.glsl
│           │   │   ├── image.gather.Fragment.glsl
│           │   │   ├── image.main.Compute.glsl
│           │   │   ├── image.queries.Vertex.glsl
│           │   │   ├── image.texture_sample.Fragment.glsl
│           │   │   ├── image.texture_sample_comparison.Fragment.glsl
│           │   │   ├── interpolate.frag_main.Fragment.glsl
│           │   │   ├── interpolate.vert_main.Vertex.glsl
│           │   │   ├── math-functions.main.Vertex.glsl
│           │   │   ├── multiview.main.Vertex.glsl
│           │   │   ├── multiview_webgl.main.Vertex.glsl
│           │   │   ├── operators.main.Compute.glsl
│           │   │   ├── padding.vertex.Vertex.glsl
│           │   │   ├── push-constants.main.Fragment.glsl
│           │   │   ├── push-constants.vert_main.Vertex.glsl
│           │   │   ├── quad-vert.main.Vertex.glsl
│           │   │   ├── quad.frag_main.Fragment.glsl
│           │   │   ├── quad.fs_extra.Fragment.glsl
│           │   │   ├── quad.main.Fragment.glsl
│           │   │   ├── quad.main.Vertex.glsl
│           │   │   ├── quad.vert_main.Vertex.glsl
│           │   │   ├── shadow.fs_main.Fragment.glsl
│           │   │   ├── shadow.fs_main_without_storage.Fragment.glsl
│           │   │   ├── shadow.vs_main.Vertex.glsl
│           │   │   ├── skybox.fs_main.Fragment.glsl
│           │   │   ├── skybox.vs_main.Vertex.glsl
│           │   │   ├── standard.derivatives.Fragment.glsl
│           │   │   ├── texture-arg.main.Fragment.glsl
│           │   │   └── variations-glsl.main.Fragment.glsl
│           │   ├── hlsl/
│           │   │   ├── access.hlsl
│           │   │   ├── access.hlsl.config
│           │   │   ├── binding-arrays.hlsl
│           │   │   ├── binding-arrays.hlsl.config
│           │   │   ├── boids.hlsl
│           │   │   ├── boids.hlsl.config
│           │   │   ├── break-if.hlsl
│           │   │   ├── break-if.hlsl.config
│           │   │   ├── collatz.hlsl
│           │   │   ├── collatz.hlsl.config
│           │   │   ├── control-flow.hlsl
│           │   │   ├── control-flow.hlsl.config
│           │   │   ├── empty-global-name.hlsl
│           │   │   ├── empty-global-name.hlsl.config
│           │   │   ├── empty.hlsl
│           │   │   ├── empty.hlsl.config
│           │   │   ├── functions.hlsl
│           │   │   ├── functions.hlsl.config
│           │   │   ├── globals.hlsl
│           │   │   ├── globals.hlsl.config
│           │   │   ├── image.hlsl
│           │   │   ├── image.hlsl.config
│           │   │   ├── interface.hlsl
│           │   │   ├── interface.hlsl.config
│           │   │   ├── interpolate.hlsl
│           │   │   ├── interpolate.hlsl.config
│           │   │   ├── inv-hyperbolic-trig-functions.hlsl
│           │   │   ├── inv-hyperbolic-trig-functions.hlsl.config
│           │   │   ├── math-functions.hlsl
│           │   │   ├── math-functions.hlsl.config
│           │   │   ├── operators.hlsl
│           │   │   ├── operators.hlsl.config
│           │   │   ├── padding.hlsl
│           │   │   ├── padding.hlsl.config
│           │   │   ├── push-constants.hlsl
│           │   │   ├── push-constants.hlsl.config
│           │   │   ├── quad-vert.hlsl
│           │   │   ├── quad-vert.hlsl.config
│           │   │   ├── quad.hlsl
│           │   │   ├── quad.hlsl.config
│           │   │   ├── shadow.hlsl
│           │   │   ├── shadow.hlsl.config
│           │   │   ├── skybox.hlsl
│           │   │   ├── skybox.hlsl.config
│           │   │   ├── standard.hlsl
│           │   │   ├── standard.hlsl.config
│           │   │   ├── texture-arg.hlsl
│           │   │   └── texture-arg.hlsl.config
│           │   ├── ir/
│           │   │   ├── collatz.ron
│           │   │   └── shadow.ron
│           │   ├── msl/
│           │   │   ├── access.msl
│           │   │   ├── binding-arrays.msl
│           │   │   ├── bitcast.msl
│           │   │   ├── bits.msl
│           │   │   ├── boids.msl
│           │   │   ├── bounds-check-image-restrict.msl
│           │   │   ├── bounds-check-image-rzsw.msl
│           │   │   ├── bounds-check-restrict.msl
│           │   │   ├── bounds-check-zero-atomic.msl
│           │   │   ├── bounds-check-zero.msl
│           │   │   ├── break-if.msl
│           │   │   ├── collatz.msl
│           │   │   ├── control-flow.msl
│           │   │   ├── empty-global-name.msl
│           │   │   ├── empty.msl
│           │   │   ├── extra.msl
│           │   │   ├── functions.msl
│           │   │   ├── globals.msl
│           │   │   ├── image.msl
│           │   │   ├── interface.msl
│           │   │   ├── interpolate.msl
│           │   │   ├── math-functions.msl
│           │   │   ├── operators.msl
│           │   │   ├── padding.msl
│           │   │   ├── policy-mix.msl
│           │   │   ├── quad-vert.msl
│           │   │   ├── quad.msl
│           │   │   ├── shadow.msl
│           │   │   ├── skybox.msl
│           │   │   ├── standard.msl
│           │   │   └── texture-arg.msl
│           │   ├── spv/
│           │   │   ├── access.spvasm
│           │   │   ├── binding-arrays.spvasm
│           │   │   ├── bitcast.spvasm
│           │   │   ├── bits.spvasm
│           │   │   ├── boids.spvasm
│           │   │   ├── bounds-check-image-restrict.spvasm
│           │   │   ├── bounds-check-image-rzsw.spvasm
│           │   │   ├── bounds-check-restrict.spvasm
│           │   │   ├── bounds-check-zero.spvasm
│           │   │   ├── break-if.spvasm
│           │   │   ├── collatz.spvasm
│           │   │   ├── control-flow.spvasm
│           │   │   ├── empty.spvasm
│           │   │   ├── extra.spvasm
│           │   │   ├── functions.spvasm
│           │   │   ├── globals.spvasm
│           │   │   ├── image.spvasm
│           │   │   ├── interface.compute.spvasm
│           │   │   ├── interface.fragment.spvasm
│           │   │   ├── interface.vertex.spvasm
│           │   │   ├── interface.vertex_two_structs.spvasm
│           │   │   ├── interpolate.spvasm
│           │   │   ├── math-functions.spvasm
│           │   │   ├── multiview.spvasm
│           │   │   ├── operators.spvasm
│           │   │   ├── padding.spvasm
│           │   │   ├── pointer-access.spvasm
│           │   │   ├── pointers.spvasm
│           │   │   ├── policy-mix.spvasm
│           │   │   ├── quad.spvasm
│           │   │   ├── shadow.spvasm
│           │   │   ├── skybox.spvasm
│           │   │   ├── standard.spvasm
│           │   │   └── texture-arg.spvasm
│           │   └── wgsl/
│           │       ├── 210-bevy-2d-shader-frag.wgsl
│           │       ├── 210-bevy-2d-shader-vert.wgsl
│           │       ├── 210-bevy-shader-vert.wgsl
│           │       ├── 246-collatz-comp.wgsl
│           │       ├── 277-casting-vert.wgsl
│           │       ├── 280-matrix-cast-vert.wgsl
│           │       ├── 484-preprocessor-if-vert.wgsl
│           │       ├── 800-out-of-bounds-panic-vert.wgsl
│           │       ├── 896-push-constant-vert.wgsl
│           │       ├── 900-implicit-conversions-vert.wgsl
│           │       ├── 901-lhs-field-select-vert.wgsl
│           │       ├── 931-constant-emitting-vert.wgsl
│           │       ├── 932-for-loop-if-vert.wgsl
│           │       ├── access.wgsl
│           │       ├── bevy-pbr-frag.wgsl
│           │       ├── bevy-pbr-vert.wgsl
│           │       ├── binding-arrays.wgsl
│           │       ├── binop-frag.wgsl
│           │       ├── bitcast.wgsl
│           │       ├── bits.wgsl
│           │       ├── bits_glsl-frag.wgsl
│           │       ├── boids.wgsl
│           │       ├── bool-select-frag.wgsl
│           │       ├── break-if.wgsl
│           │       ├── buffer-frag.wgsl
│           │       ├── clamp-splat-vert.wgsl
│           │       ├── collatz.wgsl
│           │       ├── constant-array-size-vert.wgsl
│           │       ├── control-flow.wgsl
│           │       ├── declarations-vert.wgsl
│           │       ├── empty-global-name.wgsl
│           │       ├── empty.wgsl
│           │       ├── expressions-frag.wgsl
│           │       ├── extra.wgsl
│           │       ├── fma-frag.wgsl
│           │       ├── functions.wgsl
│           │       ├── global-constant-array-vert.wgsl
│           │       ├── globals.wgsl
│           │       ├── image.wgsl
│           │       ├── images-frag.wgsl
│           │       ├── interface.wgsl
│           │       ├── interpolate.wgsl
│           │       ├── inv-hyperbolic-trig-functions.wgsl
│           │       ├── lexical-scopes.wgsl
│           │       ├── long-form-matrix-vert.wgsl
│           │       ├── math-functions-vert.wgsl
│           │       ├── math-functions.wgsl
│           │       ├── multiview.wgsl
│           │       ├── operators.wgsl
│           │       ├── padding.wgsl
│           │       ├── pointers.wgsl
│           │       ├── prepostfix-frag.wgsl
│           │       ├── quad-vert.wgsl
│           │       ├── quad.wgsl
│           │       ├── quad_glsl-frag.wgsl
│           │       ├── quad_glsl-vert.wgsl
│           │       ├── sampler-functions-frag.wgsl
│           │       ├── samplers-frag.wgsl
│           │       ├── shadow.wgsl
│           │       ├── skybox.wgsl
│           │       ├── standard.wgsl
│           │       ├── statements-frag.wgsl
│           │       ├── swizzle_write-frag.wgsl
│           │       └── texture-arg.wgsl
│           ├── snapshots.rs
│           ├── spirv-capabilities.rs
│           └── wgsl-errors.rs
├── resources/
│   ├── Info.plist
│   └── app.icns
├── scripts/
│   ├── create-dmg-1.1.0/
│   │   ├── .editorconfig
│   │   ├── .gitignore
│   │   ├── .this-is-the-create-dmg-repo
│   │   ├── LICENSE
│   │   ├── Makefile
│   │   ├── README.md
│   │   ├── builder/
│   │   │   └── create-dmg.builder
│   │   ├── create-dmg
│   │   ├── doc-project/
│   │   │   ├── Developer Notes.md
│   │   │   └── Release Checklist.md
│   │   ├── examples/
│   │   │   └── 01-main-example/
│   │   │       ├── sample
│   │   │       └── source_folder/
│   │   │           └── Application.app
│   │   ├── support/
│   │   │   ├── eula-resources-template.xml
│   │   │   └── template.applescript
│   │   └── tests/
│   │       └── 007-space-in-dir-name/
│   │           ├── my files/
│   │           │   └── hello.txt
│   │           └── run-test
│   ├── macos_build.sh
│   ├── macos_build_entry.sh
│   ├── macos_cross_compile.sh
│   ├── macos_launch.sh
│   └── windows_build.sh
└── src/
    ├── app.rs
    ├── assets/
    │   └── shaders/
    │       ├── CS_graph_solver.wgsl
    │       ├── S_axis.wgsl
    │       ├── S_bounding_box.wgsl
    │       ├── S_edge.wgsl
    │       └── S_node.wgsl
    ├── bootstrap.rs
    ├── components/
    │   ├── detail_view.rs
    │   ├── dock_view.rs
    │   ├── drawer_view.rs
    │   ├── drawers/
    │   │   ├── kernel_view.rs
    │   │   ├── message_view.rs
    │   │   └── mod.rs
    │   ├── export_modal_view.rs
    │   ├── graphics_view.rs
    │   ├── import_modal_view/
    │   │   ├── config_page.rs
    │   │   └── file_picker_page.rs
    │   ├── import_modal_view.rs
    │   ├── inspector_view.rs
    │   ├── menubar_view.rs
    │   ├── mod.rs
    │   ├── shortcuts.rs
    │   └── table_view.rs
    ├── lib.rs
    ├── main.rs
    ├── models/
    │   ├── app_model.rs
    │   ├── data_model.rs
    │   ├── graphics_lib/
    │   │   ├── bind_group_layout.rs
    │   │   ├── buffer_dimensions.rs
    │   │   ├── camera.rs
    │   │   ├── camera_controls.rs
    │   │   ├── compute_shader.rs
    │   │   ├── mod.rs
    │   │   ├── render_pipeline.rs
    │   │   ├── texture.rs
    │   │   └── unifrom.rs
    │   ├── graphics_model.rs
    │   └── mod.rs
    ├── utils/
    │   ├── constant.rs
    │   ├── csv_loader.rs
    │   ├── file.rs
    │   ├── message.rs
    │   └── mod.rs
    └── widgets/
        ├── frames.rs
        ├── mod.rs
        └── modal.rs

================================================
FILE CONTENTS
================================================

================================================
FILE: .gitignore
================================================
/target
/.idea
/.vscode
.DS_Store
# /lib
/macos_build
/windows_build

================================================
FILE: Cargo.toml
================================================
[package]
name = "graphpu"
version = "0.5.0"
authors = ["Troy Ni <1272777550@qq.com>", "CPunisher <1343316114@qq.com>"]
edition = "2021"
description = "Next-Gen 3D GPU Graph-Vis App"
documentation = "https://docs.graphpu.com/"
readme = "README.md"
homepage = "https://graphpu.com/"
repository = "https://github.com/TO_BE_PUBLISHED"
license-file = "LICENSE_TO_BE_WRITE.txt"
build = "build.rs"

[features]
test-file = []
exe = []

[lib]

[[example]]
name = "test_file"
test = false

# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html

[dependencies]
egui = "0.20.1"
egui_extras = { version = "0.20.0" }
eframe = { version = "0.20.1", features = ["wgpu"] }
egui-wgpu = "0.20.0"

bytemuck = { version = "1.9.1" }
wgpu = { version = "0.14", features = ["webgl"] }
pollster = { version = "0.2.5" }
glam = { version = "0.20.2" }

image = "0.23"
anyhow = "1.0"
directories = "4.0.1"

rayon = "1.5.3"
png = "0.17"
futures-intrusive = "0.4.0"

nanorand = { version = "0.7", default-features = false, features = ["wyrand"] }
rfd = "0.9.1"
csv = "1.1.6"
serde = { version = "1.0.140", features = ["derive"] }
strum = { version = "0.24.1", features = ["derive"] }
tokio = { version = "1", features = ["rt", "rt-multi-thread", "macros"] }
chrono = "0.4.22"
lazy_static = "1.4.0"

[target.'cfg(windows)'.build-dependencies]
winres = "0.1"

[patch.crates-io]
naga = { path = "./lib/naga" }



================================================
FILE: README.md
================================================
# GraphPU

"GraphPU" is a 3D GPU graph visualization application. We have developed a rendering framework and
HPC algorithms based on Rust and WebGPU, allowing the application to simulate and render millions of nodes and
edges in real-time on Vulkan and Metal platforms. The demo contains multiple large-scale graph datasets
including movie semantics, emails, large website structures, personal WeChat relationships, and social media
connections. The audience can interact with these data through a controller knob, experiencing social physics
and complex networks in a particle universe.

See more: [troyni.com/graphpu](https://troyni.com/graphpu)

![](github/screenshot_1.png)


================================================
FILE: build.rs
================================================
use std::io;
#[cfg(target_os = "windows")] use winres::WindowsResource;

fn main() -> io::Result<()> {
    #[cfg(target_os = "windows")] {
        WindowsResource::new()
            // This path can be absolute, or relative to your crate root.
            .set_icon("resources/app_icon.ico")
            .compile()?;
    }
    Ok(())
}

================================================
FILE: examples/dataset/email_data_edge.csv
================================================
start_id,end_id
0,1
0,4
0,5
0,8
0,11
0,20
0,48
0,130
0,160
0,430
0,668
0,736
0,3612
0,4252
0,16687
1,1
1,44
1,50
1,56
1,98
1,99
1,106
1,146
1,147
1,149
1,158
1,171
1,175
1,184
1,206
1,259
1,333
1,336
1,392
1,397
1,406
1,422
1,446
1,457
1,585
1,602
1,620
1,640
1,732
1,733
1,779
1,841
1,1033
1,1118
1,1261
1,1262
1,1290
1,1370
1,1425
1,1458
1,1515
1,1518
1,1521
1,1546
1,1619
1,1623
1,1776
1,1803
1,1966
1,1969
1,2014
1,2037
1,2058
1,2244
1,2356
1,2558
1,2874
1,2924
1,3449
1,4200
1,4681
1,5357
1,5592
1,5726
1,6044
1,6119
1,6962
1,7719
1,7723
1,7817
1,7998
1,8027
1,8109
1,8244
1,9394
1,14402
1,14507
1,15162
1,15439
1,16393
1,17166
1,19459
1,19578
1,20587
1,20833
1,21290
1,21442
1,22604
1,23384
1,23659
1,23783
1,23927
1,24137
1,24339
1,24466
1,26034
1,26354
1,27008
1,29534
1,30331
1,33287
1,33976
1,34212
1,34609
1,34630
1,34638
1,34710
1,34792
1,38060
1,38300
1,39437
1,39527
1,39532
1,39811
1,40430
1,40996
1,41040
1,42064
1,44877
1,45382
1,45461
1,48364
1,55144
1,55254
1,55820
1,59020
1,60576
1,63349
1,68370
1,69668
1,71303
1,74996
1,75557
1,75912
1,76060
1,78909
1,80266
1,85096
1,87870
1,89035
1,90487
1,92476
1,100276
1,102786
1,106504
1,112537
1,116750
1,118111
1,118141
1,118143
1,118336
1,119805
1,120469
1,121775
1,123130
1,123137
1,124889
1,126059
1,131939
1,132953
1,133046
1,133980
1,138471
1,147103
1,149018
1,149492
1,152509
1,152515
1,153875
1,154107
1,154878
1,155056
1,156456
1,156589
1,159346
1,161731
1,162025
1,164711
1,165851
1,166080
1,166461
1,166670
1,169210
1,170928
1,171259
1,171684
1,171937
1,171958
1,174815
1,176190
1,176396
1,176450
1,177363
1,177653
1,177659
1,177841
1,178424
1,178546
1,178562
1,178706
1,180487
1,181275
1,182927
1,188390
1,189573
1,189576
1,189577
1,189587
1,190518
1,190767
1,191825
1,198971
1,204314
1,214708
1,216812
1,218391
1,218757
1,220502
1,220570
1,220933
1,221270
1,221402
1,221403
1,222427
1,225795
1,226362
1,226381
1,229913
1,234502
1,234973
1,240052
1,240426
1,242495
1,242826
1,245501
1,246804
1,250192
1,250222
1,250353
1,253031
1,256213
1,256674
1,257105
1,258284
1,258560
1,259744
1,260325
1,261079
1,264679
2,3
3,3
3,10
3,175
3,313
3,314
3,347
3,388
3,389
3,457
3,509
3,510
3,653
3,808
3,1011
3,1043
3,1085
3,1184
3,1345
3,1417
3,1696
3,1869
3,1973
3,2045
3,2301
3,3932
3,4535
3,5646
3,6424
3,7926
3,8179
3,8508
3,13506
3,14747
3,15088
3,16176
3,16580
3,17071
3,18088
3,18457
3,18783
3,19673
3,20672
3,20836
3,21393
3,21396
3,21491
3,21847
3,21932
3,22181
3,25476
3,26092
3,26254
3,26259
3,26260
3,26263
3,26269
3,26278
3,26283
3,26955
3,28112
3,29739
3,30373
3,31080
3,31965
3,34577
3,34776
3,34846
3,36171
3,36831
3,36957
3,37203
3,37319
3,37522
3,37557
3,37571
3,38079
3,39085
3,40030
3,41136
3,41247
3,41533
3,41555
3,42684
3,42694
3,42877
3,43795
3,44574
3,45771
3,46064
3,46441
3,47049
3,48361
3,49478
3,49869
3,51980
3,54959
3,57206
3,57216
3,58529
3,59950
3,61506
3,63137
3,63603
3,67740
3,68212
3,68431
3,68492
3,68928
3,70737
3,72558
3,75407
3,75912
3,76810
3,76922
3,77837
3,79079
3,79714
3,79935
3,81350
3,81436
3,82702
3,82783
3,83230
3,83426
3,83427
3,83621
3,83896
3,84541
3,84780
3,85639
3,87426
3,88075
3,88102
3,90352
3,90921
3,91045
3,91528
3,91589
3,91732
3,93046
3,93124
3,93132
3,93764
3,94328
3,94468
3,95943
3,96600
3,97912
3,99112
3,99209
3,101587
3,102194
3,103388
3,103414
3,104845
3,105853
3,106493
3,106950
3,108105
3,109314
3,112497
3,112637
3,112790
3,112868
3,113012
3,115479
3,115570
3,116113
3,116547
3,116913
3,119500
3,120726
3,121611
3,121662
3,123003
3,128071
3,128243
3,130362
3,130895
3,131557
3,134313
3,135301
3,136097
3,137160
3,137238
3,140294
3,142169
3,142705
3,142742
3,144437
3,145766
3,145986
3,146749
3,148061
3,148091
3,148217
3,148890
3,150199
3,151073
3,151323
3,151493
3,152041
3,152691
3,152842
3,152931
3,154652
3,156915
3,157008
3,157488
3,158379
3,158565
3,159179
3,159885
3,160937
3,161434
3,161712
3,161874
3,162144
3,162548
3,162772
3,163382
3,163894
3,166993
3,167807
3,168388
3,168500
3,169001
3,169540
3,170783
3,170982
3,171927
3,172308
3,174392
3,174557
3,174843
3,175417
3,175464
3,175992
3,179142
3,179323
3,179391
3,180091
3,180657
3,181675
3,183072
3,183093
3,183376
3,183853
3,185045
3,185249
3,185681
3,186936
3,187073
3,188151
3,189805
3,190231
3,192150
3,192304
3,193279
3,194570
3,197863
3,198475
3,198482
3,199752
3,199766
3,201298
3,203481
3,203751
3,205083
3,206092
3,206648
3,207031
3,207609
3,212781
3,213294
3,213978
3,218747
3,219500
3,220356
3,222334
3,222717
3,236678
3,249762
3,255414
3,263806
5,4
5,5
5,10
5,26
5,47
5,59
5,143
5,171
5,292
5,355
5,430
5,527
5,740
5,741
5,743
5,865
5,885
5,887
5,994
5,1119
5,1235
5,1252
5,1253
5,1335
5,1432
5,1722
5,1983
5,2089
5,2469
5,2674
5,2926
5,2940
5,3949
5,4114
5,4748
5,4810
5,5881
5,6621
5,8714
5,15959
5,16614
5,16686
5,21059
5,21944
5,45140
5,95583
5,111142
5,234141
6,7
7,7
8,385
8,2159
8,2368
8,3393
8,3644
8,5034
8,5326
8,8220
8,18090
8,85685
8,86389
8,87005
8,89532
8,110485
8,118780
8,124319
8,171018
9,10
9,17521
10,5
10,10
10,30
10,34
10,35
10,37
10,38
10,56
10,65
10,73
10,77
10,87
10,94
10,97
10,106
10,107
10,124
10,140
10,141
10,146
10,147
10,152
10,161
10,175
10,182
10,192
10,195
10,198
10,202
10,206
10,211
10,213
10,222
10,233
10,247
10,251
10,255
10,264
10,275
10,292
10,294
10,309
10,310
10,313
10,328
10,333
10,336
10,366
10,389
10,393
10,417
10,422
10,444
10,446
10,457
10,467
10,485
10,493
10,500
10,505
10,510
10,512
10,535
10,595
10,605
10,615
10,626
10,628
10,634
10,638
10,640
10,671
10,677
10,693
10,704
10,726
10,733
10,746
10,760
10,784
10,788
10,795
10,818
10,838
10,841
10,859
10,877
10,907
10,911
10,920
10,929
10,937
10,949
10,957
10,972
10,991
10,999
10,1001
10,1010
10,1070
10,1085
10,1113
10,1117
10,1127
10,1175
10,1188
10,1191
10,1238
10,1240
10,1241
10,1247
10,1289
10,1293
10,1297
10,1298
10,1300
10,1306
10,1309
10,1319
10,1370
10,1417
10,1425
10,1430
10,1436
10,1509
10,1518
10,1566
10,1572
10,1623
10,1634
10,1715
10,1773
10,1801
10,1815
10,1844
10,1893
10,1955
10,1985
10,2083
10,2145
10,2244
10,2296
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1941,2565
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1941,3504
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1941,4761
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1941,54271
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1949,32
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1949,1146
1949,1240
1949,1300
1949,1454
1949,1465
1949,1663
1949,1805
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1949,2548
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1949,3630
1949,3788
1949,3880
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1949,6045
1949,6059
1949,6711
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1949,13137
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1949,29095
1949,31414
1949,40697
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1949,104537
1949,104542
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1949,254443
1949,261806
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1955,104
1955,111
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1955,240
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1955,298
1955,332
1955,372
1955,390
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1955,431
1955,446
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1955,599
1955,611
1955,631
1955,677
1955,693
1955,694
1955,714
1955,715
1955,761
1955,784
1955,795
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1955,838
1955,852
1955,911
1955,932
1955,1004
1955,1010
1955,1011
1955,1029
1955,1065
1955,1082
1955,1085
1955,1118
1955,1119
1955,1130
1955,1203
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1955,1285
1955,1309
1955,1326
1955,1332
1955,1359
1955,1361
1955,1434
1955,1466
1955,1715
1955,1796
1955,1807
1955,1849
1955,1888
1955,1954
1955,1955
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1955,2443
1955,2512
1955,2560
1955,2620
1955,2729
1955,2775
1955,2838
1955,2989
1955,2991
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1955,3168
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1955,3771
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1955,3879
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1955,4540
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1955,5825
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1955,6837
1955,6856
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1955,7915
1955,8422
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1955,14553
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1955,23820
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1955,26513
1955,26848
1955,26855
1955,26880
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1955,29684
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1955,33003
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1955,33660
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1955,38300
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1962,74148
1962,78405
1962,78867
1962,78891
1962,82464
1962,84264
1962,88820
1962,91585
1962,94134
1962,98284
1962,102250
1962,105163
1962,110093
1962,110509
1962,110541
1962,111142
1962,116043
1962,119649
1962,127029
1962,129722
1962,131729
1962,136607
1962,137099
1962,137201
1962,142333
1962,142620
1962,143395
1962,144988
1962,145398
1962,158292
1962,158638
1962,160450
1962,162573
1962,162902
1962,178391
1962,180270
1962,184490
1962,197473
1962,201884
1962,201960
1962,207443
1962,219920
1962,219936
1962,223998
1962,226470
1962,233982
1962,246828
1962,248927
1963,57875
1964,1821
1965,1010
1966,1
1967,1707
1968,452
1968,457
1968,673
1968,794
1968,1011
1968,1130
1968,1417
1968,1572
1968,1619
1968,1634
1968,1844
1968,1968
1968,3367
1968,3582
1968,4039
1968,6695
1969,1
1969,56
1969,94
1969,146
1969,192
1969,333
1969,336
1969,779
1969,841
1969,1803
1969,1969
1969,1970
1969,1994
1969,2166
1969,2217
1969,12263
1969,13187
1969,13221
1969,14091
1969,15437
1969,16493
1969,17139
1969,18637
1969,18761
1969,19430
1969,21382
1969,23031
1969,23783
1969,25467
1969,26730
1969,28171
1969,28195
1969,28350
1969,29895
1969,36674
1969,38177
1969,41153
1969,41366
1969,46144
1969,60576
1969,62226
1969,69932
1969,82627
1969,91355
1969,117726
1969,244750
1971,781
1972,1973
1973,3
1973,20
1973,34
1973,35
1973,37
1973,68
1973,87
1973,99
1973,135
1973,138
1973,158
1973,160
1973,167
1973,192
1973,195
1973,202
1973,203
1973,207
1973,215
1973,289
1973,290
1973,326
1973,328
1973,333
1973,358
1973,379
1973,390
1973,392
1973,406
1973,425
1973,462
1973,502
1973,510
1973,518
1973,575
1973,590
1973,596
1973,736
1973,760
1973,765
1973,779
1973,788
1973,795
1973,808
1973,818
1973,849
1973,862
1973,907
1973,920
1973,934
1973,968
1973,992
1973,1010
1973,1140
1973,1147
1973,1192
1973,1201
1973,1220
1973,1222
1973,1240
1973,1241
1973,1285
1973,1298
1973,1326
1973,1345
1973,1368
1973,1402
1973,1445
1973,1479
1973,1505
1973,1551
1973,1566
1973,1590
1973,1608
1973,1635
1973,1677
1973,1786
1973,1891
1973,1927
1973,1972
1973,1973
1973,1992
1973,2037
1973,2083
1973,2178
1973,2436
1973,2443
1973,2557
1973,2726
1973,2744
1973,3260
1973,3474
1973,3507
1973,3565
1973,3944
1973,4276
1973,4354
1973,5265
1973,5961
1973,9030
1973,9457
1973,11147
1973,13151
1973,13440
1973,13451
1973,14109
1973,15344
1973,18327
1973,18344
1973,21693
1973,22045
1973,28142
1973,28291
1973,30770
1973,31419
1973,34320
1973,35402
1973,39570
1973,40441
1973,40498
1973,41230
1973,44221
1973,45853
1973,54004
1973,56150
1973,60576
1973,62457
1973,66343
1973,75091
1973,77671
1973,77717
1973,114188
1973,115474
1973,122692
1973,136165
1973,158762
1973,170626
1973,171178
1973,172555
1973,189839
1973,189842
1973,205673
1973,215276
1973,234357
1973,256409
1973,256827
1974,450
1975,740
1975,741
1976,1977
1976,1978
1978,3538
1979,1359
1980,134
1980,225
1980,1368
1981,149
1981,622
1981,1803
1982,666
1982,1983
1982,1984
1983,4
1983,5
1983,1219
1983,1702
1983,1983
1983,4388
1983,5695
1983,5820
1983,5842
1983,5861
1983,5895
1983,5979
1983,6120
1983,6142
1983,7385
1983,7388
1983,9197
1983,20320
1983,20419
1983,23860
1983,24746
1983,24854
1983,29015
1983,32340
1983,33292
1983,36507
1983,38857
1983,39538
1983,40292
1983,44207
1983,53859
1983,56112
1983,56326
1983,58922
1983,58963
1983,59898
1983,74850
1983,76235
1983,76320
1983,76869
1983,84828
1983,87830
1983,107801
1983,109097
1983,116535
1983,124952
1983,127154
1983,134425
1983,138245
1983,138757
1983,141722
1983,147086
1983,151524
1983,151533
1983,155899
1983,159955
1983,159958
1983,159967
1983,159972
1983,159979
1983,159981
1983,160069
1983,160070
1983,162018
1983,167454
1983,169377
1983,170289
1983,170615
1983,175043
1983,175619
1983,175905
1983,182213
1983,196146
1983,199055
1983,202732
1983,206955
1983,211813
1983,217267
1983,220500
1983,223372
1983,225866
1983,225889
1983,235348
1983,236211
1983,242502
1983,244450
1983,246042
1983,246225
1983,247782
1983,248048
1983,248062
1983,248981
1983,255186
1985,10
1985,106
1985,186
1985,333
1985,337
1985,446
1985,505
1985,586
1985,604
1985,663
1985,664
1985,682
1985,685
1985,812
1985,818
1985,911
1985,932
1985,937
1985,1011
1985,1027
1985,1242
1985,1281
1985,1293
1985,1370
1985,1504
1985,1848
1985,1849
1985,1985
1985,2782
1985,5630
1985,7794
1985,13506
1985,14066
1985,14100
1985,19486
1985,21528
1985,31046
1985,31198
1985,31254
1985,35084
1985,44459
1985,48053
1985,59616
1985,60576
1985,60701
1985,67918
1985,72068
1985,72439
1985,74777
1985,83905
1985,100237
1985,104268
1985,109922
1985,110546
1985,116938
1985,119418
1985,127158
1985,127740
1985,134764
1985,152984
1985,172381
1985,174800
1985,180916
1985,191414
1985,213749
1985,249720
1986,415
1986,801
1986,849
1986,852
1986,1240
1986,1326
1986,1353
1986,1411
1986,1454
1986,1805
1986,5961
1987,538
1987,1381
1987,1877
1987,40497
1988,1001
1989,314
1989,599
1989,668
1989,1172
1989,1844
1989,2373
1989,3744
1989,221334
1990,1068
1991,1298
1992,11
1992,147
1992,182
1992,186
1992,192
1992,207
1992,256
1992,301
1992,314
1992,336
1992,392
1992,397
1992,440
1992,452
1992,457
1992,505
1992,510
1992,599
1992,673
1992,676
1992,685
1992,794
1992,838
1992,843
1992,849
1992,852
1992,911
1992,929
1992,972
1992,1011
1992,1014
1992,1085
1992,1130
1992,1172
1992,1191
1992,1262
1992,1345
1992,1370
1992,1417
1992,1531
1992,1566
1992,1619
1992,1634
1992,1796
1992,1844
1992,1973
1992,2253
1992,2580
1992,3582
1992,4190
1992,6824
1992,6904
1992,9457
1992,19413
1992,20757
1992,30331
1992,75912
1992,207659
1992,215874
1993,149
1993,192
1993,333
1993,336
1993,602
1993,663
1993,664
1993,726
1993,788
1993,841
1993,1052
1993,1089
1993,1411
1993,1619
1993,1623
1993,2006
1993,2244
1993,3895
1993,5130
1993,7757
1993,22317
1994,60576
1995,222
1995,278
1995,1181
1995,1388
1995,2244
1996,34
1996,35
1996,217
1996,949
1996,2646
1996,127158
1997,217
1997,1417
1997,2671
1997,3252
1998,389
1998,772
1998,818
1998,841
1998,843
1998,1458
1998,1849
1999,784
1999,1707
2000,83
2000,356
2001,182
2002,261
2002,818
2002,843
2002,991
2002,1458
2002,1818
2002,2646
2002,3115
2002,19010
2002,67873
2002,68259
2002,82976
2002,84341
2002,91133
2002,91338
2002,111031
2002,111855
2002,119753
2002,121235
2002,126444
2003,1608
2005,2006
2006,446
2006,685
2006,1011
2006,1411
2006,2315
2006,5388
2006,5851
2006,5884
2006,7109
2006,8525
2006,13605
2006,23329
2006,23809
2006,24886
2006,24906
2006,29404
2006,58984
2006,59151
2006,64257
2006,108282
2007,390
2007,459
2007,615
2007,744
2007,783
2007,907
2007,968
2007,1010
2007,1012
2007,1160
2007,1167
2007,1300
2007,1436
2007,1479
2007,1849
2007,2191
2007,2480
2007,3422
2007,3630
2007,32784
2007,48505
2007,72764
2008,104
2008,289
2008,290
2008,328
2008,372
2008,373
2008,417
2008,534
2008,572
2008,588
2008,590
2008,599
2008,631
2008,677
2008,704
2008,714
2008,715
2008,760
2008,1212
2008,1282
2008,1346
2008,1402
2008,1462
2008,1572
2008,1631
2008,1641
2008,1962
2008,2008
2008,2069
2008,2205
2008,2206
2008,2286
2008,2965
2008,3507
2008,4520
2008,6447
2008,8279
2008,8867
2008,13506
2008,14080
2008,14582
2008,15103
2008,15520
2008,16192
2008,16210
2008,19566
2008,20869
2008,21187
2008,24546
2008,26396
2008,27088
2008,28191
2008,28877
2008,30707
2008,33424
2008,34707
2008,35614
2008,37444
2008,37485
2008,40644
2008,48709
2008,49035
2008,59194
2008,61004
2008,62248
2008,63361
2008,67210
2008,72639
2008,75754
2008,80049
2008,80387
2008,94134
2008,96712
2008,102664
2008,106331
2008,111142
2008,134620
2008,140827
2008,141836
2008,141971
2008,144988
2008,160450
2008,166287
2008,167749
2008,168587
2008,207051
2008,220939
2008,238354
2008,256953
2008,257051
2008,258382
2009,143
2010,1749
2011,298
2012,72
2012,312
2012,1052
2012,1267
2012,2605
2012,3695
2013,485
2014,1
2014,50
2014,333
2014,336
2014,733
2014,788
2014,841
2014,1192
2014,1619
2015,294
2015,431
2015,631
2016,22
2016,302
2016,622
2016,809
2016,861
2016,2017
2016,2312
2016,17309
2016,22293
2017,255
2017,819
2017,2017
2017,2563
2017,15556
2017,20779
2017,40824
2017,66301
2018,107
2018,111
2018,760
2018,1149
2019,875
2019,1276
2019,2744
2019,4411
2020,1
2021,1118
2022,336
2023,393
2023,435
2023,447
2023,726
2023,980
2023,1033
2024,1105
2025,305
2026,130
2027,233
2028,509
2028,510
2029,202
2029,269
2029,294
2029,309
2029,310
2029,389
2029,424
2029,640
2029,772
2029,818
2029,843
2029,1085
2029,1415
2029,1544
2029,1801
2029,1849
2029,2411
2029,2744
2029,7155
2030,346
2030,726
2030,1068
2030,1294
2030,1644
2030,1849
2030,1888
2030,2353
2030,13486
2030,189128
2031,143
2032,56
2032,147
2032,192
2032,422
2032,60576
2034,1175
2034,1243
2034,72439
2034,189839
2036,68
2036,186
2036,450
2036,7155
2037,1
2037,192
2037,314
2037,422
2037,457
2037,516
2037,599
2037,808
2037,1014
2037,1118
2037,1509
2037,1531
2037,1566
2037,1796
2037,1844
2037,1973
2037,6904
2037,42064
2038,1078
2038,1616
2039,364
2042,312
2042,2944
2043,818
2044,68
2045,3
2045,388
2045,510
2045,623
2045,654
2045,663
2045,664
2045,685
2045,694
2045,838
2045,911
2045,1133
2045,1345
2045,1424
2045,1566
2045,1805
2045,2045
2045,2046
2045,4752
2045,6641
2045,6960
2045,7753
2045,8177
2045,13506
2045,14494
2045,15116
2045,16192
2045,20228
2045,21328
2045,22095
2045,30115
2045,32309
2045,34416
2045,35704
2045,42871
2045,43325
2045,47006
2045,47759
2045,49452
2045,49491
2045,49978
2045,50105
2045,55945
2045,58381
2045,61212
2045,63601
2045,70702
2045,81193
2045,109561
2045,112814
2045,119320
2045,128704
2045,128956
2045,160490
2045,169817
2045,183853
2045,189834
2045,190402
2045,190435
2045,201298
2045,213886
2045,234149
2045,241142
2045,241689
2045,248442
2045,258145
2046,34
2046,35
2046,510
2046,1571
2046,2045
2046,4223
2047,182
2047,2048
2048,139116
2048,139117
2049,577
2050,2051
2050,49057
2051,87
2051,2292
2052,104
2052,215
2052,1282
2053,287
2053,953
2055,143
2056,980
2058,1
2059,399
2060,50
2060,79
2061,54
2061,83
2061,140
2061,752
2061,919
2061,1287
2061,1309
2061,1479
2061,1871
2061,2424
2062,1
2062,32
2062,50
2062,79
2062,147
2062,160
2062,392
2062,424
2062,577
2062,602
2062,644
2062,697
2062,809
2062,985
2062,1363
2062,1619
2062,1858
2062,2274
2062,2699
2062,76096
2063,720
2063,877
2063,972
2063,1010
2063,1284
2064,66
2064,3744
2065,760
2065,805
2065,1631
2066,781
2067,158
2067,406
2068,749
2069,104
2069,134
2069,240
2069,248
2069,264
2069,289
2069,290
2069,298
2069,457
2069,489
2069,631
2069,636
2069,714
2069,760
2069,794
2069,1014
2069,1016
2069,1119
2069,1282
2069,1417
2069,1631
2069,1745
2069,1955
2069,2209
2069,2373
2069,75912
2069,94134
2070,392
2070,1151
2071,147
2071,195
2072,2073
2074,392
2074,1454
2074,1572
2075,63
2075,602
2076,305
2077,106
2077,337
2078,209
2079,850
2081,985
2082,4
2082,5
2083,10
2083,86
2083,167
2083,240
2083,299
2083,301
2083,314
2083,431
2083,459
2083,468
2083,500
2083,528
2083,589
2083,599
2083,808
2083,929
2083,1014
2083,1045
2083,1085
2083,1118
2083,1167
2083,1241
2083,1284
2083,1285
2083,1298
2083,1319
2083,1436
2083,1522
2083,1544
2083,1564
2083,1627
2083,1635
2083,1715
2083,1837
2083,1849
2083,1973
2083,2083
2083,2085
2083,2095
2083,2193
2083,2372
2083,2557
2083,2588
2083,2979
2083,3207
2083,3218
2083,3774
2083,3944
2083,4271
2083,4283
2083,4291
2083,5185
2083,5301
2083,6712
2083,6930
2083,6989
2083,7011
2083,7057
2083,8386
2083,13470
2083,13480
2083,13489
2083,13657
2083,14264
2083,16484
2083,16594
2083,16667
2083,16965
2083,17327
2083,17636
2083,18249
2083,18668
2083,18724
2083,20289
2083,20628
2083,22062
2083,22116
2083,22157
2083,23069
2083,24627
2083,26078
2083,27053
2083,27095
2083,28785
2083,29760
2083,30253
2083,31419
2083,32784
2083,33282
2083,33527
2083,34174
2083,34820
2083,38994
2083,39618
2083,41854
2083,43235
2083,43346
2083,44105
2083,44480
2083,47051
2083,50423
2083,50525
2083,50567
2083,51889
2083,55028
2083,55878
2083,62160
2083,64070
2083,66515
2083,67074
2083,73342
2083,73355
2083,73570
2083,75794
2083,77678
2083,80615
2083,86558
2083,89837
2083,92859
2083,93835
2083,94745
2083,94978
2083,100305
2083,108543
2083,109258
2083,110118
2083,115249
2083,116178
2083,116543
2083,122159
2083,122735
2083,127158
2083,127187
2083,127224
2083,127227
2083,127588
2083,128293
2083,128922
2083,130099
2083,134179
2083,134871
2083,140687
2083,142569
2083,146438
2083,146751
2083,147179
2083,147548
2083,148320
2083,150859
2083,153233
2083,157410
2083,157443
2083,157563
2083,158669
2083,158862
2083,159888
2083,160668
2083,161915
2083,163719
2083,164276
2083,166385
2083,167497
2083,169231
2083,171578
2083,171580
2083,171583
2083,172678
2083,173927
2083,174669
2083,175940
2083,177014
2083,178012
2083,178543
2083,178659
2083,178670
2083,178695
2083,178897
2083,179030
2083,179629
2083,180265
2083,180982
2083,181530
2083,183722
2083,184373
2083,184814
2083,189281
2083,190527
2083,191073
2083,191572
2083,194967
2083,195555
2083,213319
2083,214197
2083,214981
2083,217998
2083,219854
2083,221176
2083,227286
2083,232753
2083,240769
2083,245848
2083,249357
2084,392
2085,203
2085,292
2085,315
2085,333
2085,358
2085,435
2085,439
2085,440
2085,447
2085,538
2085,579
2085,589
2085,710
2085,794
2085,1118
2085,1294
2085,1888
2085,2083
2085,2373
2085,2572
2085,3422
2085,3582
2085,3876
2085,4823
2085,5662
2085,6298
2085,35486
2086,4
2086,5
2086,25
2086,26
2086,47
2086,59
2086,116
2086,117
2086,171
2086,250
2086,330
2086,430
2086,743
2086,885
2086,1432
2086,1684
2086,2087
2086,2088
2086,2089
2086,2469
2086,3794
2086,5871
2086,9536
2086,9538
2086,13704
2086,21059
2086,21944
2086,54870
2086,67397
2086,71961
2086,136284
2086,136285
2089,25
2089,26
2089,59
2089,292
2089,885
2089,887
2089,1227
2089,1229
2089,1238
2089,1432
2089,1775
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9729,1240
9729,21982
9730,644
9731,255
9732,811
9732,1452
9733,163
9735,687
9735,1556
9737,163
9737,868
9738,336
9738,2371
9739,104
9739,111
9739,134
9739,372
9739,441
9739,442
9739,631
9739,636
9739,749
9739,775
9739,784
9739,999
9739,1140
9739,2209
9739,3474
9739,4771
9741,143
9742,875
9743,217
9743,389
9743,707
9743,875
9743,1019
9743,1881
9743,2253
9744,1877
9745,163
9746,9323
9747,79
9747,4455
9747,68069
9748,1801
9749,163
9749,1436
9750,163
9751,130
9751,841
9751,920
9752,2646
9752,6506
9753,163
9754,46
9754,99
9754,233
9754,292
9754,332
9754,525
9754,586
9754,592
9754,631
9754,954
9754,972
9754,2286
9754,3695
9754,10318
9754,42628
9755,163
9756,54
9756,83
9756,283
9756,347
9756,392
9756,455
9756,536
9756,623
9756,673
9756,694
9756,697
9756,781
9756,808
9756,1019
9756,1201
9756,1240
9756,1274
9756,1465
9756,1860
9756,2168
9756,3367
9756,6059
9756,6789
9756,6955
9757,1425
9758,781
9759,1370
9760,206
9761,2051
9761,49057
9762,818
9763,302
9763,515
9763,579
9763,687
9763,861
9763,893
9763,3769
9764,163
9765,255
9766,301
9766,1298
9766,1381
9766,1452
9766,1639
9767,392
9767,1140
9769,151
9770,306
9770,307
9771,9772
9773,9774
9775,9776
9777,9778
9779,1858
9780,1860
9781,9782
9783,9784
9785,623
9785,1805
9786,178
9786,1531
9787,887
9787,1235
9787,1335
9788,660
9788,2424
9788,2944
9788,6506
9790,134
9791,9792
9793,9794
9795,9796
9797,9798
9799,9800
9801,9802
9803,9804
9805,9806
9807,9808
9809,9810
9811,9812
9813,9814
9815,9816
9817,9818
9820,9821
9822,9823
9824,9825
9826,9827
9828,9829
9830,9831
9832,9833
9834,9835
9836,9837
9838,9839
9840,9841
9842,9843
9844,9845
9846,9847
9848,9849
9850,9851
9852,9853
9854,9855
9856,9857
9858,9859
9860,9861
9862,9863
9864,9865
9866,9867
9868,9869
9870,9871
9872,9873
9874,54
9875,9876
9877,9878
9879,9880
9881,9882
9883,9884
9885,9886
9887,9888
9889,818
9890,9891
9892,9893
9894,9895
9896,163
9896,2116
9897,9898
9899,9900
9901,9902
9903,9904
9905,9906
9907,9908
9909,9910
9911,9912
9913,9914
9915,9916
9917,9918
9919,9920
9921,9922
9923,9924
9925,9926
9927,9928
9929,9930
9931,9932
9933,9934
9935,9936
9937,9938
9939,9940
9941,9942
9943,9944
9945,9946
9947,9948
9949,9950
9951,9952
9953,9954
9955,9956
9957,9958
9959,9960
9961,9962
9963,9964
9965,9966
9967,9968
9969,9970
9971,9972
9973,9974
9975,9976
9977,1127
9978,9979
9980,9981
9982,9983
9984,9985
9986,9987
9988,9989
9990,9991
9992,9993
9994,9995
9996,9997
9998,9999
10000,10001
10002,10003
10004,10005
10006,10007
10008,10009
10010,10011
10012,10013
10014,10015
10016,10017
10018,10019
10020,10021
10022,10023
10024,10025
10026,1858
10027,1860
10028,10029
10030,10031
10032,10033
10034,10035
10036,10037
10038,10039
10040,10041
10042,10043
10044,10045
10046,10047
10048,10049
10050,10051
10052,10053
10054,10055
10056,10057
10058,10059
10060,10061
10062,10063
10064,10065
10066,10067
10068,10069
10070,10071
10072,10073
10074,10075
10076,10077
10078,10079
10080,10081
10082,10083
10084,10085
10086,10087
10088,10089
10090,10091
10092,10093
10094,10095
10096,10097
10098,10099
10100,10101
10102,10103
10104,10105
10106,72
10107,10108
10109,10110
10111,10112
10113,10114
10115,10116
10117,10118
10119,10120
10121,10122
10123,10124
10125,10126
10127,10128
10129,10130
10131,10132
10133,10134
10135,10136
10137,10138
10139,10140
10141,10142
10143,10144
10145,298
10145,752
10145,1368
10145,1458
10145,1579
10145,4355
10146,10147
10148,10149
10150,10151
10152,10153
10154,10155
10156,10157
10158,10159
10160,10161
10162,10163
10164,10165
10166,10167
10168,10169
10170,10171
10172,10173
10174,10175
10176,10177
10178,10179
10180,10181
10182,10183
10184,10185
10186,315
10187,10188
10189,10190
10191,10192
10193,10194
10195,10196
10197,10198
10199,10200
10201,1353
10202,10203
10204,10205
10206,10207
10208,10209
10210,10211
10212,10213
10214,10215
10216,752
10216,1210
10217,10218
10219,10220
10221,10222
10223,10224
10225,10226
10227,2775
10228,10229
10230,10231
10232,10233
10234,10235
10236,10237
10238,10239
10240,10241
10242,10243
10244,10245
10246,10247
10248,10249
10250,10251
10252,10253
10254,10255
10256,10257
10258,10259
10260,10261
10262,10263
10264,10265
10266,10267
10268,10269
10270,10271
10272,10273
10274,10275
10276,10277
10278,10279
10280,10281
10282,10283
10284,10285
10286,10287
10288,10289
10290,10291
10292,10293
10294,10295
10296,10297
10298,10299
10300,10301
10302,10303
10304,10305
10306,10307
10308,10309
10310,10311
10312,10313
10314,10315
10316,10317
10318,954
10318,1282
10318,1690
10318,1939
10318,10318
10318,50399
10318,71900
10318,71909
10318,71921
10318,72077
10319,10320
10321,10322
10323,10324
10325,10326
10327,10328
10329,10330
10331,10332
10333,10334
10335,10336
10337,10338
10339,10340
10341,10342
10343,10344
10345,10346
10347,10348
10349,10350
10351,10352
10353,10354
10355,10356
10357,10358
10359,10360
10361,10362
10363,86
10364,10365
10366,10367
10368,10369
10370,10371
10372,10373
10374,10375
10376,10377
10378,10379
10380,10381
10382,10383
10384,10385
10386,10387
10388,10389
10390,10391
10392,87
10392,255
10392,258
10393,10394
10395,10396
10397,273
10397,274
10397,310
10397,483
10397,3039
10398,10399
10400,10401
10402,10403
10404,10405
10406,195
10407,10408
10409,10410
10411,10412
10413,10414
10415,10416
10417,10418
10419,10420
10421,10422
10423,10424
10425,10426
10427,10428
10429,10430
10431,10432
10433,10434
10435,10436
10437,10438
10439,10440
10441,10442
10443,10444
10445,10446
10447,10448
10449,10450
10451,10452
10453,10454
10455,640
10456,10457
10458,10459
10460,10461
10462,640
10463,10464
10465,10466
10467,10468
10469,10470
10471,10472
10473,10474
10475,10476
10477,10478
10479,10480
10481,10482
10483,10484
10485,10486
10487,10488
10489,10490
10491,10492
10493,10494
10495,10496
10497,10498
10499,135
10500,10501
10502,10503
10504,10505
10506,10507
10508,10509
10510,10511
10512,10513
10514,10515
10516,640
10517,10518
10519,10520
10521,10522
10523,10524
10525,9029
10526,10527
10528,10529
10530,10531
10532,10533
10534,10535
10536,10537
10538,10539
10540,10541
10542,10543
10544,10545
10546,10547
10548,581
10549,10550
10551,10552
10553,10554
10555,10556
10557,10558
10559,911
10560,10561
10562,10563
10564,10565
10566,10567
10568,10569
10570,10571
10572,10573
10574,10575
10576,10577
10578,10579
10580,10581
10582,10583
10584,10585
10586,10587
10588,10589
10590,10591
10592,10593
10594,10595
10596,10597
10598,10599
10600,10601
10602,10603
10604,10605
10606,10607
10608,10609
10610,10611
10612,10613
10614,10615
10616,2681
10617,10618
10619,10620
10621,10622
10623,10624
10625,10626
10627,10628
10629,10630
10631,10632
10633,10634
10635,10636
10637,10638
10640,10641
10642,10643
10644,163
10644,579
10645,10646
10647,10648
10649,10650
10651,10652
10653,10654
10655,10656
10657,1858
10658,1860
10659,10660
10661,163
10662,10663
10664,10665
10666,10667
10668,10669
10670,10671
10672,10673
10674,10675
10676,10677
10678,10679
10680,10681
10682,10683
10684,10685
10686,1127
10687,10688
10689,10690
10691,10692
10693,10694
10695,10696
10697,10698
10699,10700
10701,10702
10703,10704
10705,10706
10707,10708
10709,10710
10711,10712
10713,10714
10715,10716
10717,10718
10719,10720
10721,10722
10723,10724
10725,10726
10727,10728
10729,10730
10731,10732
10733,10734
10735,10736
10737,10738
10739,10740
10741,10742
10743,10744
10745,10746
10747,37
10747,1551
10747,3999
10748,10749
10750,10751
10752,10753
10754,10755
10756,10757
10758,10759
10760,10761
10762,10763
10764,10765
10766,10767
10768,10769
10770,10771
10772,10773
10774,1836
10775,10776
10777,10778
10779,10780
10781,10782
10783,10784
10785,10786
10787,1893
10788,10789
10790,10791
10792,1262
10793,10794
10795,10796
10797,10798
10799,10800
10801,10802
10803,10804
10805,10806
10807,10808
10809,10810
10811,10812
10813,10814
10815,10816
10817,10818
10819,10820
10821,10822
10823,10824
10825,10826
10827,10828
10829,10830
10831,10832
10833,10834
10835,10836
10837,10838
10839,10840
10841,10842
10843,10844
10845,10846
10847,10848
10849,10850
10851,10852
10853,10854
10855,10856
10857,10858
10859,10860
10861,10862
10863,10864
10865,10866
10867,10868
10869,10870
10871,10872
10873,10874
10875,10876
10877,10878
10879,10880
10881,10882
10883,10884
10885,10886
10887,10888
10889,10890
10891,10892
10893,10894
10895,10896
10897,10898
10899,10900
10901,10902
10903,10904
10905,10906
10907,10908
10909,10910
10911,10912
10913,10914
10915,10916
10917,10918
10919,10920
10921,10922
10923,10924
10925,10926
10927,10928
10929,10930
10931,10932
10933,10934
10935,10936
10937,10938
10939,10940
10941,10942
10943,10944
10945,10946
10947,10948
10949,10950
10951,10952
10953,10954
10955,10956
10957,10958
10959,10960
10961,10962
10963,10964
10965,10966
10967,10968
10969,10970
10971,10972
10973,10974
10975,10976
10977,10978
10979,10980
10981,10982
10983,10984
10985,10986
10987,10988
10989,10990
10991,10992
10993,10994
10995,10996
10997,10998
10999,11000
11001,11002
11003,11004
11005,11006
11007,11008
11009,11010
11011,11012
11013,11014
11015,2681
11015,33535
11015,61597
11015,61602
11015,61810
11015,168211
11015,173005
11016,11017
11018,11019
11020,11021
11022,11023
11024,11025
11026,11027
11028,11029
11030,11031
11032,11033
11034,11035
11036,11037
11038,11039
11040,11041
11042,11043
11044,11045
11046,11047
11048,11049
11050,11051
11052,11053
11054,195
11055,11056
11057,11058
11059,11060
11061,11062
11063,11064
11065,11066
11067,11068
11069,11070
11071,11072
11073,11074
11075,11076
11077,11078
11079,11080
11081,11082
11083,11084
11085,11086
11087,11088
11089,11090
11091,11092
11093,11094
11095,11096
11097,11098
11099,11100
11101,11102
11103,11104
11105,11106
11107,11108
11109,11110
11111,11112
11113,11114
11115,11116
11117,11118
11119,11120
11121,11122
11123,11124
11125,11126
11127,11128
11129,11130
11131,11132
11133,11134
11135,11136
11137,11138
11139,11140
11141,11142
11143,11144
11145,11146
11147,261
11147,1808
11147,11147
11147,41871
11148,11149
11150,11151
11152,11153
11154,11155
11156,11157
11158,11159
11160,2681
11161,11162
11163,11164
11165,11166
11167,11168
11169,11170
11171,11172
11173,932
11173,1016
11174,11175
11176,11177
11178,11179
11180,11181
11182,11183
11184,11185
11186,11187
11188,11189
11190,11191
11192,11193
11194,11195
11196,11197
11198,11199
11200,11201
11202,11203
11204,11205
11206,11207
11208,11209
11210,11211
11212,11213
11214,11215
11216,11217
11218,11219
11220,11221
11222,11223
11224,11225
11226,11227
11228,11229
11230,11231
11232,11233
11234,11235
11236,11237
11238,11239
11240,11241
11242,11243
11244,11245
11246,11247
11248,11249
11250,11251
11252,11253
11254,11255
11256,11257
11258,11259
11260,11261
11262,11263
11264,11265
11266,11267
11268,11269
11270,11271
11272,11273
11274,11275
11276,11277
11278,11279
11280,11281
11282,11283
11284,11285
11286,11287
11288,11289
11290,11291
11292,11293
11294,11295
11296,11297
11298,11299
11300,11301
11302,11303
11304,11305
11306,11307
11308,11309
11310,11311
11312,11313
11314,11315
11316,11317
11318,11319
11320,11321
11322,11323
11324,11325
11326,11327
11328,11329
11330,11331
11332,11333
11334,11335
11336,11337
11338,11339
11340,11341
11342,11343
11344,11345
11346,134
11346,1309
11347,11348
11349,11350
11351,11352
11353,11354
11355,11356
11357,11358
11359,11360
11361,11362
11363,11364
11365,11366
11367,11368
11369,11370
11371,11372
11373,11374
11375,11376
11377,11378
11379,11380
11381,11382
11383,11384
11385,11386
11387,11388
11389,11390
11391,11392
11393,11394
11395,11396
11397,11398
11399,11400
11401,11402
11403,11404
11405,11406
11407,11408
11409,11410
11411,11412
11413,11414
11415,11416
11417,11418
11419,11420
11421,11422
11423,11424
11425,11426
11427,11428
11429,11430
11431,11432
11433,11434
11435,11436
11437,11438
11439,11440
11441,11442
11443,11444
11445,11446
11447,11448
11449,11450
11451,11452
11453,11454
11455,11456
11457,11458
11459,11460
11461,11462
11463,305
11463,35092
11464,11465
11466,11467
11468,11469
11470,11471
11472,11473
11474,11475
11476,11477
11478,11479
11480,11481
11482,11483
11484,11485
11486,11487
11488,11489
11490,11491
11492,11493
11494,11495
11496,11497
11498,2051
11499,11500
11501,11502
11503,11504
11505,11506
11507,11508
11509,11510
11511,11512
11513,11514
11515,11516
11517,11518
11519,11520
11521,11522
11523,11524
11525,11526
11527,11528
11529,11530
11531,11532
11533,11534
11535,11536
11537,11538
11539,11540
11541,11542
11543,11544
11545,11546
11547,11548
11549,11550
11551,11552
11553,11554
11555,11556
11557,11558
11559,11560
11561,11562
11563,11564
11565,11566
11567,11568
11569,11570
11571,11572
11573,11574
11575,11576
11577,11578
11579,11580
11581,11582
11583,11584
11585,11586
11587,11588
11589,11590
11591,11592
11593,11594
11595,11596
11597,11598
11599,11600
11601,11602
11603,11604
11605,11606
11607,11608
11609,11610
11611,11612
11613,11614
11615,11616
11617,11618
11619,11620
11621,11622
11623,11624
11625,11626
11627,11628
11629,11630
11631,11632
11633,11634
11635,11636
11637,11638
11639,11640
11641,11642
11643,11644
11645,11646
11647,11648
11649,11650
11651,11652
11653,11654
11655,11656
11657,11658
11659,11660
11661,11662
11663,11664
11665,11666
11667,11668
11669,11670
11671,11672
11673,11674
11675,11676
11677,11678
11679,11680
11681,11682
11683,11684
11685,11686
11687,11688
11689,163
11690,11691
11692,11693
11694,11695
11696,11697
11698,11699
11700,11701
11702,11703
11704,11705
11706,11707
11708,11709
11710,11711
11712,11713
11714,11715
11716,11717
11718,11719
11720,11721
11722,11723
11724,11725
11726,11727
11728,11729
11730,11731
11732,11733
11734,11735
11736,11737
11738,11739
11740,11741
11742,718
11743,11744
11745,11746
11747,11748
11749,626
11750,11751
11752,11753
11754,11755
11756,11757
11758,11759
11760,11761
11762,11763
11764,11765
11766,163
11767,11768
11769,11770
11771,11772
11773,11774
11775,11776
11777,11778
11779,11780
11781,11782
11783,11784
11785,11786
11787,11788
11789,301
11790,11791
11792,11793
11794,11795
11796,11797
11798,11799
11800,11801
11802,11803
11804,11805
11806,11807
11808,11809
11810,11811
11812,11813
11814,11815
11816,11817
11818,163
11818,302
11818,579
11818,811
11819,11820
11821,11822
11823,11824
11825,11826
11827,11828
11829,11830
11831,11832
11833,11834
11835,163
11836,11837
11838,11839
11840,11841
11842,11843
11844,11845
11846,11847
11848,11849
11850,11851
11852,11853
11854,11855
11856,11857
11858,11859
11860,11861
11862,11863
11864,11865
11866,11867
11868,11869
11870,11871
11872,11873
11874,11875
11876,11877
11878,11879
11880,11881
11882,11883
11884,11885
11886,11887
11888,11889
11890,192
11890,663
11890,664
11891,11892
11893,11894
11895,11896
11897,11898
11899,11900
11901,11902
11903,11904
11905,11906
11907,11908
11909,392
11909,1454
11910,11911
11912,11913
11914,11915
11916,11917
11918,11919
11920,11921
11922,11923
11924,11925
11926,11927
11928,11929
11930,163
11931,11932
11933,11934
11935,11936
11937,11938
11939,11940
11941,11942
11943,11944
11945,11946
11947,11948
11949,11950
11951,26
11951,59
11953,11954
11955,163
11956,11957
11958,11959
11960,11961
11962,11963
11964,11965
11966,11967
11968,11969
11970,11971
11972,11973
11974,11975
11976,11977
11978,11979
11980,11981
11982,11983
11984,11985
11986,11987
11988,11989
11990,11991
11992,11993
11994,11995
11996,11997
11998,11999
12000,12001
12002,12003
12004,12005
12006,12007
12008,163
12009,12010
12011,12012
12013,12014
12015,12016
12017,12018
12019,12020
12021,12022
12023,12024
12025,12026
12027,12028
12029,12030
12031,634
12031,6888
12032,12033
12034,12035
12036,12037
12038,12039
12040,12041
12042,12043
12044,12045
12046,12047
12048,12049
12050,12051
12052,12053
12054,19
12054,660
12055,12056
12057,12058
12059,12060
12061,12062
12063,12064
12065,12066
12067,12068
12069,12070
12071,12072
12073,12074
12075,12076
12078,12079
12080,12081
12082,12083
12084,12085
12086,12087
12088,12089
12090,12091
12092,12093
12094,12095
12096,12097
12098,12099
12100,72
12100,312
12101,12102
12103,163
12104,12105
12106,12107
12108,12109
12110,12111
12112,192
12112,602
12112,657
12112,663
12112,920
12112,1089
12112,1849
12112,8854
12113,12114
12115,12116
12117,12118
12119,12120
12121,12122
12123,12124
12125,12126
12127,12128
12129,12130
12131,12132
12133,12134
12135,12136
12137,12138
12139,12140
12141,12142
12143,12144
12145,163
12146,12147
12148,12149
12150,12151
12152,12153
12154,12155
12156,12157
12158,12159
12160,12161
12162,12163
12164,12165
12166,12167
12168,12169
12170,12171
12172,12173
12174,12175
12176,12177
12178,12179
12180,12181
12182,12183
12184,12185
12186,12187
12188,12189
12190,12191
12192,12193
12194,12195
12196,12197
12198,12199
12200,12201
12202,12203
12204,12205
12206,12207
12208,12209
12210,12211
12212,12213
12214,12215
12216,12217
12218,12219
12220,12221
12222,12223
12224,12225
12226,12227
12228,12229
12230,12231
12232,12233
12234,12235
12236,12237
12238,12239
12240,12241
12242,12243
12244,12245
12246,12247
12248,12249
12250,12251
12252,12253
12254,518
12254,1411
12255,12256
12257,12258
12259,12260
12261,12262
12263,192
12263,336
12263,609
12263,1181
12263,1663
12263,2244
12263,2253
12263,6119
12263,60576
12263,204124
12264,12265
12266,12267
12268,12269
12270,12271
12272,12273
12274,12275
12276,12277
12278,571
12278,718
12278,868
12278,1623
12279,12280
12281,611
12282,12283
12284,12285
12286,12287
12288,12289
12290,12291
12292,12293
12294,12295
12296,12297
12298,12299
12300,12301
12302,12303
12304,12305
12306,12307
12308,12309
12310,12311
12312,12313
12314,12315
12316,12317
12318,12319
12320,12321
12322,12323
12324,12325
12326,12327
12328,12329
12330,12331
12332,12333
12334,12335
12336,12337
12338,12339
12340,12341
12342,12343
12344,12345
12346,12347
12348,12349
12350,12351
12352,12353
12354,12355
12356,12357
12358,12359
12360,12361
12362,12363
12364,12365
12366,12367
12368,12369
12370,12371
12372,12373
12374,12375
12376,12377
12378,299
12379,12380
12381,12382
12383,12384
12385,12386
12387,12388
12389,12390
12391,12392
12393,12394
12395,3744
12395,9005
12396,12397
12398,12399
12400,12401
12402,12403
12404,12405
12406,12407
12408,12409
12410,12411
12412,12413
12414,12415
12416,12417
12418,12419
12420,12421
12422,12423
12424,12425
12426,12427
12428,12429
12430,12431
12432,12433
12434,12435
12436,12437
12438,12439
12440,12441
12442,12443
12444,12445
12446,12447
12448,12449
12450,12451
12452,12453
12454,12455
12456,12457
12458,12459
12460,12461
12462,12463
12464,12465
12466,12467
12468,12469
12470,12471
12472,12473
12474,12475
12476,12477
12478,12479
12480,12481
12482,12483
12484,12485
12486,12487
12488,12489
12490,12491
12492,12493
12494,12495
12496,12497
12498,12499
12500,12501
12502,12503
12504,12505
12506,12507
12508,12509
12510,12511
12512,12513
12514,12515
12516,12517
12518,12519
12520,12521
12522,12523
12524,12525
12526,12527
12528,12529
12530,12531
12532,12533
12534,12535
12536,12537
12538,12539
12540,12541
12542,12543
12544,12545
12546,12547
12548,12549
12550,12551
12552,12553
12554,12555
12556,1432
12556,1639
12557,493
12557,1370
12558,12559
12560,12561
12562,12563
12564,12565
12566,12567
12568,12569
12570,12571
12572,12573
12574,12575
12576,12577
12578,577
12579,12580
12581,12582
12583,12584
12585,12586
12587,12588
12589,12590
12591,12592
12593,12594
12595,12596
12597,12598
12599,12600
12601,12602
12603,12604
12605,12606
12607,12608
12609,12610
12611,12612
12613,12614
12615,12616
12617,12618
12619,12620
12621,12622
12623,50
12623,779
12623,68069
12623,86832
12624,12625
12626,12627
12628,12629
12630,12631
12632,12633
12634,12635
12636,12637
12638,12639
12640,12641
12642,12643
12644,12645
12646,12647
12648,12649
12650,12651
12652,12653
12654,12655
12656,12657
12658,12659
12660,12661
12662,12663
12664,12665
12666,12667
12668,12669
12670,12671
12672,12673
12674,12675
12676,12677
12678,12679
12680,12681
12682,12683
12684,12685
12686,12687
12688,12689
12690,12691
12692,12693
12694,12695
12696,12697
12698,12699
12700,12701
12702,12703
12704,12705
12706,12707
12708,12709
12710,12711
12712,1973
12713,392
12714,12715
12716,3367
12717,12718
12719,32
12720,12721
12722,12723
12724,195
12724,336
12724,86479
12725,12726
12727,2775
12728,795
12729,671
12730,264
12730,1381
12731,12732
12733,1551
12734,12735
12736,1411
12736,2006
12737,12738
12739,12740
12741,12742
12743,77
12744,12745
12746,328
12746,2443
12747,10
12747,104
12747,134
12747,248
12747,264
12747,289
12747,290
12747,298
12747,310
12747,557
12747,631
12747,636
12747,805
12747,838
12747,932
12747,1016
12747,1119
12747,1282
12747,1368
12747,1392
12747,1608
12747,1631
12747,1635
12747,1745
12747,1955
12747,2209
12747,94134
12747,144988
12748,12749
12750,12751
12753,12754
12755,12756
12757,12758
12759,12760
12761,12762
12763,795
12764,12765
12766,12767
12768,12769
12770,12771
12772,12773
12774,12775
12776,12777
12778,12779
12780,12781
12782,12783
12784,12785
12786,12787
12788,12789
12790,12791
12792,12793
12794,12795
12796,12797
12798,12799
12800,12801
12802,12803
12804,12805
12806,12807
12808,12809
12810,12811
12812,12813
12814,12815
12816,12817
12819,12820
12821,12822
12823,12824
12826,12827
12828,12829
12830,12831
12832,12833
12834,12835
12836,12837
12838,12839
12840,12841
12842,12843
12844,12845
12846,12847
12848,12849
12850,12851
12852,12853
12854,12855
12856,12857
12858,12859
12860,12861
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12864,12865
12866,12867
12868,12869
12870,264
12870,1127
12870,1381
12870,1893
12871,240
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12872,356
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12875,795
12876,1631
12877,1551
12878,1411
12878,4218
12878,4220
12878,66297
12879,1323
12880,102
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12882,408
12884,12885
12886,622
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12886,893
12886,2116
12886,3769
12887,12888
12889,280
12889,17245
12890,12891
12892,280
12892,17245
12893,12894
12895,12896
12897,12898
12899,12900
12901,12902
12903,12904
12905,12906
12907,12908
12909,12910
12911,12912
12913,12914
12915,12916
12917,12918
12919,12920
12921,12922
12923,12924
12925,12926
12927,12928
12929,12930
12931,12932
12933,163
12934,12935
12936,12937
12938,12939
12940,12941
12942,12943
12944,12945
12946,12947
12948,12949
12950,12951
12952,843
12953,12954
12955,12956
12957,12958
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12961,12962
12963,1411
12964,12965
12966,12967
12968,12969
12970,12971
12972,12973
12974,12975
12976,12977
12978,12979
12980,12981
12982,163
12983,12984
12985,12986
12987,12988
12989,12990
12991,12992
12993,12994
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12999,13000
13001,13002
13003,13004
13005,13006
13007,13008
13009,13010
13011,13012
13013,13014
13015,13016
13017,13018
13019,13020
13021,280
13022,13023
13024,13025
13026,13027
13028,13029
13030,13031
13032,13033
13034,13035
13036,79
13036,302
13036,3769
13037,13038
13039,13040
13041,13042
13043,13044
13045,13046
13047,13048
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13051,13052
13053,13054
13055,13056
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13059,13060
13061,13062
13063,13064
13065,13066
13067,13068
13069,13070
13071,13072
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13079,3
13079,178
13079,563
13079,919
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13079,32475
13080,13081
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13084,13085
13086,13087
13088,13089
13090,13091
13092,13093
13094,175
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13099,13100
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13207,136716
13207,136717
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19573,26417
19575,704
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19577,1181
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19578,1
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19579,1688
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19580,3695
19580,6068
19580,141912
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19586,55849
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19592,1837
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19595,312
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19596,602
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19599,510
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19601,417
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19602,5
19602,47
19602,2089
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19604,65
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19635,32751
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19641,301
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19642,1127
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19642,68069
19642,86832
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19650,1359
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19654,19519
19655,1359
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19656,991
19656,1052
19656,1559
19656,1579
19656,1639
19656,1707
19656,2051
19656,3695
19656,36985
19656,54264
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19658,19519
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19660,22
19660,222
19660,389
19661,83
19662,1247
19663,818
19664,1608
19665,586
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19668,1566
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19670,347
19670,417
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19670,1133
19670,1167
19670,1837
19670,15179
19670,16687
19671,918
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19672,389
19672,1539
19673,3
19673,230509
19673,230517
19674,302
19675,762
19676,37414
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19680,485
19682,68
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19683,302
19684,1425
19685,907
19685,932
19686,302
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19686,579
19686,2116
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19688,1113
19689,509
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19690,406
19690,636
19690,644
19690,1515
19690,3507
19690,3538
19691,264
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19691,1531
19692,392
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19695,1531
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19699,346
19701,32
19701,438
19701,1284
19702,337
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19702,393
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19702,934
19702,980
19702,1175
19702,1294
19703,19704
19705,298
19706,485
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19710,167
19710,240
19710,310
19710,355
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19710,9001
19710,88653
19710,88654
19711,19519
19712,298
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19714,19715
19716,314
19716,467
19717,422
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19720,227
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19721,775
19721,3804
19722,1267
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19728,1644
19729,37
19730,809
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19737,1977
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19738,163
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19744,182
19744,4453
19746,298
19747,485
19748,187
19749,130
19750,163
19751,56
19752,758
19752,3695
19753,6803
19754,441
19754,563
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19754,1045
19754,4308
19754,19755
19754,24265
19754,60651
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19755,1046
19755,1257
19755,1359
19755,1882
19755,2315
19755,2572
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19757,19758
19757,91163
19757,115489
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19765,2224
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19780,704
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19782,1181
19782,1515
19782,68069
19782,240174
19783,22
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19788,5405
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19789,35
19790,338
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19791,1837
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19793,47
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19793,1335
19793,2469
19793,2867
19793,2868
19793,4748
19793,15179
19793,22880
19794,302
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19794,687
19794,861
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19794,4453
19795,4611
19796,1544
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19798,41
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19799,623
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19805,301
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19805,2572
19805,4222
19805,20359
19805,188791
19806,1089
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19846,79
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19849,1085
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19854,19854
19854,19855
19854,21071
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19854,77808
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19856,48
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19857,72439
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19860,278
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19864,4611
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19873,35
19873,518
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19874,1298
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19876,151
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19880,579
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19884,920
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19890,19519
19891,1010
19891,1849
19892,1983
19893,967
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19894,1188
19894,13538
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19897,1220
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19900,2334
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30704,980
30705,34
30705,35
30705,217
30705,358
30705,1805
30706,406
30707,714
30707,760
30708,861
30710,366
30711,536
30712,9457
30713,106
30714,1556
30715,143
30716,366
30717,37
30717,301
30717,1411
30717,1782
30718,130
30719,307
30719,682
30719,784
30720,20
30720,1179
30721,536
30721,18831
30722,160
30722,1381
30723,151
30724,344
30725,6303
30726,5405
30727,34
30727,35
30728,652
30728,1893
30728,6695
30729,1718
30730,1068
30731,13137
30732,298
30733,104
30733,134
30733,135
30733,227
30733,372
30733,588
30733,590
30733,596
30733,631
30733,704
30733,784
30733,1052
30733,1119
30733,1368
30733,2775
30733,4771
30735,217
30735,1417
30735,4672
30735,18831
30736,83
30736,217
30736,536
30736,18831
30737,877
30738,298
30739,485
30740,1381
30741,298
30742,485
30743,1132
30744,781
30746,211
30746,2116
30747,50
30748,158
30748,1181
30749,50
30750,247
30751,2590
30752,30753
30754,1983
30756,2903
30756,30757
30756,30758
30756,30760
30759,5101
30762,273
30762,274
30762,333
30762,30331
30763,595
30763,1572
30764,457
30764,535
30765,30766
30767,143
30767,1052
30768,1983
30769,50
30769,79
30770,15
30770,111
30770,292
30770,441
30770,1238
30770,1688
30770,1973
30770,2292
30770,2697
30770,2889
30770,3507
30771,872
30772,30773
30774,302
30774,372
30774,1370
30775,192
30775,203
30775,272
30775,346
30775,447
30775,579
30775,602
30775,671
30775,934
30775,996
30775,1294
30775,1590
30775,1644
30775,7757
30775,31207
30775,33298
30776,493
30776,1265
30776,1266
30777,1010
30778,1983
30779,72
30780,697
30781,30782
30781,69110
30781,86070
30783,1143
30783,4252
30784,1963
30785,435
30786,94
30786,2787
30787,83
30787,2266
30787,3252
30788,302
30789,2372
30790,744
30791,83
30792,30793
30794,626
30795,1849
30796,832
30797,19005
30798,261
30798,333
30798,4192
30798,4193
30799,1749
30801,9195
30802,3260
30803,783
30804,615
30805,2995
30806,333
30807,30808
30809,647
30810,344
30811,72
30812,225
30813,1434
30814,137
30815,273
30815,274
30816,1085
30817,1983
30818,557
30819,34
30819,35
30820,557
30821,83
30822,595
30822,1332
30822,1572
30823,953
30824,483
30824,1359
30825,1571
30826,779
30827,589
30828,151
30829,289
30829,290
30830,1983
30831,206
30831,222
30831,760
30831,1019
30832,424
30833,83
30834,589
30834,1411
30835,278
30836,8270
30837,2244
30838,264
30839,107
30839,698
30839,1782
30839,3297
30840,788
30841,1619
30842,48
30842,304
30843,217
30843,1417
30844,3872
30845,86
30846,1551
30847,605
30848,192
30849,934
30850,140
30851,1849
30852,717
30853,1955
30854,5718
30855,752
30856,622
30857,4549
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30859,1590
30860,626
30861,3422
30862,1298
30863,720
30864,671
30865,1010
30866,589
30867,1210
30868,973
30869,30870
30871,483
30872,356
30872,415
30872,852
30872,21982
30873,211
30873,1149
30874,949
30875,1871
30876,30877
30878,72
30879,344
30880,285
30881,83
30882,515
30884,44
30885,83
30887,106
30888,86
30888,167
30888,240
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30888,372
30888,444
30888,567
30888,589
30888,605
30888,615
30888,631
30888,720
30888,801
30888,907
30888,968
30888,972
30888,973
30888,1010
30888,1122
30888,1124
30888,1140
30888,1167
30888,1231
30888,1241
30888,1284
30888,1298
30888,1309
30888,1436
30888,1522
30888,1544
30888,1564
30888,1782
30888,1785
30888,1818
30888,1837
30888,1893
30888,1955
30888,2083
30888,2191
30888,2372
30888,2557
30888,2620
30888,2979
30888,3193
30888,3207
30888,3218
30889,222
30890,1204
30891,1881
30892,1243
30893,455
30894,602
30895,192
30895,333
30895,1634
30895,2574
30896,83
30897,7360
30898,272
30899,87
30899,349
30899,595
30899,1014
30899,1143
30899,1363
30899,2274
30899,29380
30900,15068
30902,273
30902,274
30903,366
30903,500
30903,718
30903,1149
30903,1631
30904,602
30905,22
30905,211
30905,788
30905,8270
30906,72
30907,500
30908,1962
30909,1052
30910,1882
30911,2775
30912,54
30913,2210
30913,4237
30915,438
30916,622
30917,202
30917,203
30918,7698
30919,99
30920,283
30920,1274
30921,949
30921,6789
30922,358
30923,48
30924,30
30925,72
30926,1235
30926,1335
30927,1388
30928,346
30929,602
30930,26
30930,59
30931,99
30932,697
30933,3148
30934,388
30935,99
30936,640
30936,1181
30937,99
30938,4594
30939,682
30939,1353
30939,72439
30940,72
30941,2867
30941,2868
30941,22880
30942,22
30943,147
30943,158
30943,422
30943,1181
30943,80266
30944,8270
30945,8270
30946,10
30946,113156
30947,704
30948,704
30949,417
30950,422
30951,422
30952,422
30953,422
30954,422
30955,422
30956,422
30957,422
30958,171
30959,1414
30960,34
30960,35
30960,202
30960,203
30960,623
30960,949
30960,1467
30960,2784
30960,4549
30961,424
30962,2590
30963,417
30963,1274
30964,2697
30965,72
30966,18726
30967,72
30968,344
30969,285
30970,9027
30971,87
30971,207
30972,805
30973,3447
30974,254
30975,602
30976,2646
30977,1085
30978,30979
30980,240
30981,30982
30983,390
30984,292
30984,483
30984,644
30984,707
30984,1012
30984,1096
30984,1127
30984,1298
30984,2699
30984,3999
30984,5469
30985,366
30986,2116
30987,30
30988,2051
30989,22
30990,252
30991,151
30992,10
30993,1305
30994,2674
30995,872
30997,138
30999,10
30999,175
30999,333
30999,485
30999,663
30999,664
30999,693
30999,14366
30999,14483
31000,17309
31001,623
31001,1119
31001,1805
31002,392
31002,874
31002,1454
31003,68
31003,852
31003,1010
31004,171
31005,2590
31005,66297
31006,233
31007,298
31008,485
31009,1010
31011,1127
31011,2699
31012,1559
31013,79
31014,1010
31015,505
31016,9026
31017,3585
31018,1313
31019,1276
31020,163
31022,158
31023,79
31023,1433
31023,21944
31024,920
31024,5213
31025,31026
31027,3295
31028,1247
31029,644
31031,72
31032,801
31033,1117
31034,760
31034,1631
31035,694
31035,6638
31036,1082
31037,306
31037,307
31038,72
31039,1718
31039,5034
31040,292
31041,818
31042,44
31043,1332
31044,31045
31044,32000
31044,39809
31044,47080
31044,47481
31044,56373
31046,1985
31047,2931
31048,1983
31049,4
31049,5
31050,4
31050,5
31052,671
31053,298
31054,485
31055,509
31055,852
31055,875
31056,302
31057,1147
31058,184
31059,31060
31061,640
31062,640
31063,298
31064,485
31065,1556
31066,1133
31067,30
31067,328
31067,3538
31069,31070
31071,1181
31072,31073
31074,19
31074,2266
31075,1007
31075,1579
31076,1147
31077,1247
31077,1644
31077,1844
31078,346
31079,2574
31080,3
31080,509
31080,510
31080,663
31081,647
31082,344
31083,1891
31085,509
31085,510
31086,392
31088,31089
31088,92704
31088,126459
31088,126936
31088,129521
31088,149594
31088,200363
31088,212311
31088,233218
31088,241506
31088,244210
31090,163
31090,280
31090,455
31090,1247
31090,1332
31090,1888
31090,1983
31090,17245
31090,189842
31091,287
31091,809
31091,19010
31092,271
31093,2105
31094,586
31094,663
31094,664
31095,1891
31096,3041
31097,2784
31098,298
31099,485
31100,217
31101,58
31102,18726
31103,47
31103,48
31103,102
31103,1133
31103,2469
31104,2048
31106,1119
31106,1801
31106,3182
31107,58
31108,46
31111,3524
31112,1323
31113,102
31114,1326
31115,408
31116,160
31116,515
31116,647
31116,835
31116,1289
31116,1893
31116,2312
31117,518
31118,304
31118,444
31118,589
31118,631
31118,720
31118,877
31118,907
31118,932
31118,968
31118,972
31118,973
31118,1001
31118,1010
31118,1085
31118,1117
31118,1122
31118,1284
31118,1715
31118,1732
31118,1837
31118,1849
31118,1962
31118,2191
31118,22799
31119,31120
31121,31122
31122,408
31122,1113
31122,1326
31122,31122
31122,98805
31122,258851
31122,260338
31123,1132
31124,781
31125,58
31125,1177
31126,313
31127,1893
31127,4039
31128,31129
31130,225
31131,1983
31132,887
31132,994
31133,1983
31134,298
31135,485
31138,918
31139,302
31140,140
31140,195
31141,392
31142,2775
31143,447
31145,41
31145,63
31145,151
31145,557
31145,571
31145,586
31145,657
31145,835
31145,843
31145,852
31145,1082
31145,1227
31145,1229
31145,6789
31145,17886
31145,20004
31146,2411
31147,392
31148,252
31148,41170
31149,801
31150,1749
31150,2605
31151,1673
31152,252
31152,41170
31153,392
31153,433
31153,1634
31154,31155
31154,60027
31157,2334
31158,589
31158,1653
31158,92476
31159,104
31159,134
31159,137
31159,138
31160,631
31161,1127
31162,503
31163,663
31163,664
31165,1983
31166,195
31167,581
31168,7360
31169,72
31170,192
31170,346
31170,439
31170,588
31170,590
31170,671
31171,500
31172,920
31172,1623
31173,1212
31174,640
31176,720
31176,877
31176,907
31176,1001
31176,1117
31176,2083
31176,9024
31177,252
31177,493
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31178,596
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31180,7
31180,452
31180,3538
31180,3846
31180,14989
31181,1849
31182,79
31183,206
31184,119
31184,483
31184,1400
31184,3089
31184,3524
31184,3695
31184,31206
31185,718
31186,50
31186,192
31187,1756
31187,2989
31187,2991
31188,31189
31190,163
31190,302
31190,861
31191,1711
31191,1836
31192,4810
31193,704
31194,304
31196,1167
31197,261
31197,1749
31199,1181
31199,1388
31200,1001
31201,1392
31202,1424
31204,932
31205,408
31205,37088
31206,272
31206,766
31206,939
31206,18249
31206,159762
31206,216594
31206,251409
31208,994
31208,1300
31209,13136
31210,1181
31211,980
31211,2979
31212,657
31212,718
31212,3507
31212,21982
31213,31214
31215,1415
31216,337
31216,852
31219,306
31219,307
31220,337
31221,1113
31222,178
31222,439
31222,1776
31223,861
31225,1912
31226,663
31226,664
31226,1370
31227,647
31227,1175
31228,50
31229,211
31231,1522
31231,2557
31232,3297
31233,302
31234,31235
31236,104
31236,134
31236,135
31238,273
31238,274
31238,240174
31239,14472
31240,19227
31241,195
31242,332
31243,200
31243,248
31244,314
31245,1688
31246,192
31246,1392
31247,1033
31248,34
31248,35
31250,65
31251,393
31252,801
31253,267
31255,392
31255,1732
31255,2191
31256,647
31257,3161
31258,992
31258,8270
31259,72
31260,344
31261,285
31262,393
31263,147
31263,1370
31264,272
31265,158
31266,479
31267,534
31267,535
31269,1007
31269,1381
31269,1458
31269,5440
31270,2674
31271,106
31272,366
31273,717
31274,31275
31276,206
31277,841
31278,788
31278,1732
31278,2775
31278,15807
31279,143
31280,34
31280,126
31280,314
31280,392
31280,433
31280,467
31280,872
31280,1087
31280,1118
31280,1130
31280,1465
31281,596
31282,794
31283,338
31283,1298
31284,920
31285,1181
31286,1977
31286,1978
31287,2867
31287,2868
31288,571
31289,158
31289,422
31289,1181
31290,71
31291,31292
31293,525
31294,1001
31294,1284
31295,3999
31296,299
31297,22
31298,302
31298,344
31298,579
31298,2116
31298,142426
31299,1012
31299,1241
31300,10
31300,30
31300,41
31300,97
31300,175
31300,200
31300,336
31300,1847
31302,41
31302,104
31302,200
31302,397
31302,862
31302,1119
31302,2995
31302,44725
31302,75912
31302,127158
31303,1
31303,467
31303,693
31304,491
31305,147
31306,1243
31306,1512
31306,2674
31306,2867
31306,2868
31306,16153
31307,2867
31307,2868
31307,22880
31309,219
31310,783
31310,3218
31311,1133
31312,255
31312,1181
31313,1007
31315,187
31316,31317
31318,1210
31319,485
31320,811
31321,143
31322,3507
31323,500
31324,1962
31325,1052
31326,1882
31327,2775
31328,54
31329,2210
31329,4237
31330,280
31331,31332
31331,31540
31331,74874
31331,79138
31331,83037
31333,2674
31334,557
31335,372
31335,388
31335,626
31335,1284
31336,1531
31337,158
31338,1359
31339,147
31339,2244
31339,42064
31340,920
31341,980
31341,1429
31342,5265
31344,5469
31345,304
31347,360
31347,1893
31348,10
31350,195
31351,1140
31351,5547
31353,184
31355,79
31356,2244
31357,149
31358,104
31358,217
31358,1939
31359,518
31360,536
31360,781
31360,18831
31361,779
31362,32
31362,483
31362,509
31362,534
31362,557
31362,1572
31362,75912
31363,314
31363,687
31364,302
31364,2116
31366,1509
31367,1179
31368,30
31368,328
31369,86
31369,167
31369,240
31369,301
31369,567
31369,605
31369,631
31369,968
31369,972
31369,973
31369,1122
31369,1160
31369,1359
31369,1436
31369,1479
31369,1564
31369,1785
31369,1832
31369,1837
31369,2083
31369,2191
31369,2557
31369,2620
31369,3218
31369,5662
31369,5718
31370,1179
31371,392
31372,1522
31373,143
31374,493
31375,1127
31375,1673
31377,195
31378,1927
31380,392
31381,1001
31383,349
31383,697
31383,907
31383,3260
31384,312
31384,5547
31385,1608
31386,2719
31387,2209
31389,10
31390,151
31391,31392
31391,55263
31391,104833
31393,302
31393,489
31394,973
31395,4548
31397,217
31397,283
31397,1019
31398,302
31398,634
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31398,1143
31398,1837
31398,1881
31398,2421
31398,2779
31398,7698
31398,142430
31399,7360
31400,4355
31401,3507
31402,1326
31402,3193
31403,493
31404,151
31405,158
31406,72
31407,344
31408,285
31409,31410
31411,10
31412,663
31412,664
31413,1203
31413,1955
31413,3135
31414,175
31414,808
31414,1240
31414,1300
31414,1465
31414,1949
31414,3630
31414,6059
31415,72
31416,1033
31417,717
31418,1893
31419,10
31419,259
31419,622
31419,1433
31419,1436
31419,1973
31419,2083
31419,6803
31419,16196
31420,693
31420,16683
31422,626
31423,31424
31425,247
31426,2083
31426,3138
31426,3218
31427,1411
31427,3804
31428,10
31429,182
31429,256
31429,390
31429,563
31429,918
31429,1238
31429,1663
31429,2083
31429,6837
31429,7092
31429,7270
31429,15523
31430,704
31431,22
31434,779
31434,1515
31435,41
31435,104
31435,119
31435,247
31435,269
31435,285
31435,422
31435,424
31435,467
31435,636
31435,640
31435,788
31435,843
31435,1012
31435,1564
31435,1572
31435,1749
31435,7155
31435,19010
31436,455
31437,72
31437,1313
31438,72
31439,344
31440,285
31441,1776
31442,772
31443,1411
31443,3804
31444,93
31444,94
31445,577
31446,809
31447,390
31449,704
31450,99
31451,376
31452,885
31453,30
31453,328
31454,775
31455,972
31456,149
31456,250
31456,841
31457,1046
31458,376
31459,1359
31460,920
31461,704
31462,6068
31462,36761
31463,31464
31463,227659
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33276,171
33277,14231
33278,452
33280,675
33281,200
33282,299
33282,2083
33283,4771
33284,33285
33286,33285
33287,1
33287,313
33287,685
33287,827
33287,841
33287,1319
33287,1566
33287,1821
33287,2421
33287,21736
33289,1425
33290,3069
33292,527
33292,743
33292,1983
33292,8714
33292,95152
33293,33294
33293,81520
33296,178
33296,579
33296,3422
33297,34
33297,35
33297,457
33297,536
33297,868
33299,306
33299,307
33300,452
33301,126
33302,248
33303,2775
33304,447
33306,349
33307,626
33307,784
33307,862
33307,1160
33307,1177
33307,1309
33307,1415
33308,784
33309,33310
33311,500
33311,718
33312,1433
33313,72
33314,907
33315,2837
33316,489
33318,126
33319,640
33320,452
33321,33322
33321,55376
33323,298
33324,269
33324,344
33324,1070
33326,126
33326,206
33326,435
33326,47785
33327,72
33328,911
33329,313
33330,1955
33332,158
33332,202
33332,203
33332,697
33332,1001
33332,1417
33334,2989
33334,2991
33337,72
33338,187
33338,285
33338,304
33338,390
33338,415
33338,567
33338,623
33338,685
33338,762
33338,1241
33338,1419
33338,1436
33338,1888
33338,2989
33338,2991
33338,4760
33338,5591
33338,6068
33338,36761
33340,143
33341,2224
33341,3769
33342,298
33343,485
33344,137
33345,994
33345,1368
33346,192
33347,298
33348,485
33349,33350
33349,40255
33349,44019
33349,51082
33349,53540
33349,60024
33349,64862
33349,77242
33349,95902
33349,129317
33351,718
33352,2671
33353,5405
33354,252
33354,516
33354,1220
33354,1222
33354,189842
33355,422
33356,422
33357,422
33358,33359
33360,422
33361,422
33362,422
33363,422
33364,422
33365,422
33366,2296
33367,58
33368,46
33369,579
33369,4177
33370,2296
33371,298
33372,485
33373,1147
33376,536
33377,1323
33378,102
33379,1326
33380,408
33381,875
33382,431
33382,631
33382,4220
33382,41027
33382,58979
33382,66297
33382,88266
33383,1235
33383,1257
33383,1335
33384,788
33385,1608
33386,72
33387,344
33388,285
33389,2931
33389,15609
33389,33390
33391,273
33391,274
33391,66754
33392,389
33392,455
33392,1274
33392,1881
33392,5933
33392,6506
33392,7092
33393,3524
33394,72
33395,107
33396,143
33397,2353
33398,1085
33398,2083
33399,1983
33400,644
33401,338
33403,452
33404,1247
33405,184
33407,1983
33408,1276
33409,207
33409,1210
33410,663
33412,1955
33414,7698
33415,577
33416,147
33416,158
33417,5540
33418,596
33418,697
33419,1983
33420,58
33421,46
33423,893
33424,104
33424,248
33424,289
33424,290
33424,588
33424,590
33424,631
33424,704
33424,714
33424,1282
33424,1402
33424,1415
33424,1462
33424,1745
33424,2105
33424,2205
33424,2206
33424,2286
33424,2315
33424,4218
33424,8537
33424,33424
33424,94134
33425,1634
33426,1058
33427,2319
33428,58
33429,46
33430,1860
33432,516
33433,1634
33434,211
33435,50
33436,1143
33437,30
33437,175
33437,313
33437,693
33437,1188
33438,33439
33440,3069
33441,457
33441,760
33441,1745
33443,1
33443,63
33443,83
33443,184
33443,285
33443,442
33443,808
33443,918
33443,1238
33443,1425
33443,1571
33443,1639
33443,2312
33443,2744
33443,3246
33443,6556
33443,19010
33443,147123
33444,994
33444,21944
33445,298
33446,485
33447,147
33447,158
33448,1983
33449,1983
33450,264
33450,1007
33451,389
33451,1058
33451,1454
33452,4594
33453,389
33454,687
33454,1556
33455,392
33456,33457
33456,38925
33456,65399
33458,861
33458,1556
33459,187
33460,1983
33461,1639
33462,1579
33463,72
33464,515
33465,1227
33465,1229
33465,86416
33466,877
33466,1284
33467,668
33468,65
33468,417
33468,1836
33469,536
33470,143
33471,2995
33472,15573
33473,1983
33474,192
33474,663
33474,664
33475,136
33475,313
33476,1639
33477,1579
33478,571
33479,567
33479,604
33479,1740
33480,290
33480,714
33480,1511
33480,2206
33480,33424
33480,94134
33481,15068
33482,48
33482,1007
33482,1381
33483,22
33483,1374
33484,33485
33487,211
33487,1462
33488,9121
33489,1977
33489,1978
33490,178
33490,1188
33490,68069
33491,63
33491,2105
33492,33493
33494,309
33494,310
33495,1579
33495,1893
33495,2605
33495,49057
33496,631
33497,273
33497,274
33498,1983
33499,1458
33500,7360
33501,130
33501,140
33501,160
33501,515
33501,1052
33502,29380
33504,65
33506,760
33506,818
33507,143
33509,20747
33510,255
33511,2296
33512,920
33513,33514
33516,250
33517,171
33518,1474
33519,34
33519,35
33519,389
33519,1860
33520,136
33521,79
33522,852
33524,626
33525,596
33525,1368
33526,136
33527,167
33527,1436
33527,2083
33527,2979
33528,1984
33530,298
33531,485
33533,50
33534,313
33536,3582
33538,47
33538,2469
33539,510
33540,640
33541,3451
33541,3452
33542,17593
33543,4
33543,5
33544,65
33546,392
33546,644
33546,2105
33546,3003
33547,743
33548,33549
33548,78285
33548,89712
33548,105044
33548,105420
33548,111610
33548,111886
33548,111911
33550,1608
33551,313
33554,713
33555,160
33556,835
33556,1968
33557,592
33558,217
33558,536
33559,195
33560,2296
33561,33562
33563,83
33564,330
33565,17228
33566,1368
33567,104
33567,135
33567,588
33567,590
33567,596
33567,714
33567,862
33567,1119
33567,1882
33567,2572
33567,3623
33568,298
33570,147
33570,493
33571,182
33572,911
33573,188
33574,4831
33575,143
33576,1
33577,2590
33578,2224
33579,657
33580,2424
33581,13980
33582,2779
33583,6263
33584,1345
33584,1370
33585,3538
33586,364
33587,1240
33587,1454
33587,3182
33587,4252
33587,6955
33588,195
33589,1767
33590,333
33590,779
33591,1001
33592,9011
33592,9032
33594,3209
33595,668
33597,33598
33599,151
33600,72
33601,907
33601,932
33602,104
33602,332
33603,389
33604,272
33605,1033
33606,1722
33607,182
33608,240
33609,760
33610,33611
33612,9018
33613,2209
33614,388
33615,1140
33616,393
33617,452
33617,457
33617,497
33617,535
33617,676
33617,918
33617,1655
33618,287
33619,130
33619,140
33619,515
33619,1052
33619,1968
33622,849
33622,1011
33623,147
33624,649
33625,264
33625,536
33625,718
33625,1160
33625,1732
33625,3422
33626,420
33627,346
33628,1010
33629,140
33631,17590
33632,390
33633,1085
33634,1298
33635,10
33636,420
33636,509
33636,510
33636,1722
33636,1836
33637,784
33638,140
33639,4453
33640,515
33641,1634
33642,264
33643,1639
33644,968
33645,298
33646,406
33647,726
33648,195
33648,920
33648,5101
33648,5103
33649,1287
33649,9030
33650,535
33650,872
33650,2989
33650,2991
33650,3252
33650,7092
33651,33652
33653,1983
33654,393
33655,41
33655,33656
33657,63
33658,79
33659,1072
33660,233
33660,1955
33660,3135
33661,850
33662,33663
33664,3260
33667,2995
33668,483
33669,1140
33670,251
33671,15573
33672,126
33672,333
33672,430
33672,1402
33672,1803
33672,2605
33673,1276
33674,32
33674,623
33674,1805
33674,4760
33675,1007
33676,2048
33677,130
33678,920
33679,920
33680,4475
33681,2837
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33683,649
33684,2779
33685,2045
33685,8788
33685,17263
33685,29253
33685,29294
33686,195
33687,1285
33688,56
33688,99
33688,206
33688,333
33688,1425
33688,6119
33689,704
33690,267
33690,1544
33691,636
33692,33693
33692,40069
33692,45324
33692,50219
33692,51553
33692,51559
33692,51923
33692,55402
33692,61633
33692,84008
33692,99415
33692,100936
33694,2668
33695,1085
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33696,111
33696,294
33696,843
33696,1411
33696,2209
33696,3585
33696,21711
33697,289
33697,290
33697,1818
33697,94134
33697,144988
33698,1309
33699,158
33699,1433
33700,760
33701,1243
33702,1085
33702,2572
33703,68
33703,1634
33704,31977
33705,2506
33707,4
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33707,32
33707,44
33707,50
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33707,79
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33707,1001
33707,1007
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33707,2205
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33709,83
33710,907
33711,818
33711,907
33711,2995
33712,2506
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33726,717
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33728,577
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33735,189303
33736,3079
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33745,818
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33747,330
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33747,406
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33747,1016
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33747,1955
33747,2087
33747,2205
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33747,2782
33747,2931
33747,2979
33747,3085
33747,3115
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33747,4237
33747,4355
33747,4455
33747,6119
33747,7270
33748,704
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33750,360
33750,760
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33760,2574
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33764,75912
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33766,33767
33768,3653
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33771,33772
33771,43398
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33780,33781
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34034,187
34035,126
34036,3695
34037,1149
34038,1179
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40436,40437
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40472,1858
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40513,5662
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40526,932
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40536,1983
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40564,40565
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40629,731
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40664,10
40665,20
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40669,217
40669,283
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40669,1019
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40699,120
40699,1175
40700,40701
40702,1224
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40705,647
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40710,503
40711,647
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40715,1132
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40723,27041
40724,579
40724,893
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40731,35
40732,657
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40739,781
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40740,918
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40745,1962
40746,1052
40747,1882
40748,2775
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40750,2210
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40758,1984
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40760,302
40760,861
40760,893
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40765,973
40766,1556
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40789,781
40790,34
40790,35
40790,536
40790,4672
40791,247
40793,3297
40795,657
40795,809
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40799,134
40799,248
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40801,1715
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40810,2626
40811,920
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40812,13980
40814,1388
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40816,40817
40818,40819
40821,660
40822,72
40823,349
40824,818
40825,5987
40826,72
40827,3193
40829,1019
40829,2646
40829,13661
40830,1983
40831,273
40831,274
40832,393
40832,1531
40833,171
40834,1132
40835,781
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42400,304
42401,42402
42403,42404
42405,42404
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42505,483
42506,178
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42528,1284
42529,65
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42532,1983
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42535,1608
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42541,772
42542,1983
42544,972
42545,240
42545,1203
42545,1955
42546,158
42547,1767
42548,9121
42549,312
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43410,710
43411,43412
43411,81806
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55837,1381
55838,55839
55838,71153
55838,125613
55840,83
55840,217
55840,278
55840,536
55840,577
55840,1429
55840,1608
55840,13575
55841,718
55842,55843
55844,422
55845,56
55846,392
55847,55848
55847,76169
55849,147
55849,158
55849,406
55849,8055
55849,55849
55849,102560
55849,220502
55850,6556
55851,3413
55852,422
55853,56
55854,1419
55855,50
55855,389
55856,58
55857,46
55858,392
55858,1014
55860,1132
55861,781
55862,811
55863,1659
55864,68
55865,483
55866,3069
55867,63
55867,422
55868,1715
55869,39247
55870,217
55871,278
55872,16687
55873,1309
55874,392
55875,1402
55876,349
55877,5469
55878,2083
55879,1531
55880,1323
55881,102
55882,1326
55883,408
55884,631
55884,1085
55884,1785
55884,3115
55885,717
55886,493
55886,682
55886,72439
55887,217
55887,222
55887,379
55887,1019
55887,1417
55887,5343
55889,2048
55890,55891
55892,217
55893,83
55894,278
55895,1201
55896,290
55896,859
55897,1046
55898,3630
55899,309
55899,310
55900,79
55901,577
55902,1556
55903,301
55905,135
55905,596
55905,784
55905,1052
55905,1368
55906,406
55907,83
55908,18726
55909,536
55910,536
55911,200
55912,272
55913,55914
55915,163
55916,4
55916,5
55917,663
55917,818
55917,1370
55917,1821
55919,1132
55920,392
55921,781
55922,72
55923,932
55924,120
55924,861
55924,162599
55925,55926
55928,171
55929,328
55929,7124
55930,801
55930,1140
55931,233
55931,240
55932,1411
55933,920
55934,7124
55935,140
55935,697
55935,5540
55936,34
55936,35
55936,217
55936,536
55937,1711
55937,1836
55938,417
55939,202
55939,203
55940,602
55941,23701
55942,2574
55943,151
55944,2867
55944,22880
55945,2045
55946,379
55947,356
55948,301
55948,615
55948,968
55949,1782
55950,3
55951,1962
55952,515
55954,7124
55955,309
55955,310
55955,483
55956,6556
55957,718
55958,439
55959,1181
55960,640
55961,1893
55962,2045
55963,438
55963,811
55963,1247
55963,3148
55963,5213
55965,9005
55966,233
55966,240
55967,875
55968,805
55969,1132
55970,781
55971,349
55972,206
55973,17588
55974,406
55974,55849
55975,247
55976,676
55978,83
55979,130
55980,1181
55981,240
55982,184
55984,222
55984,1618
55985,602
55986,1188
55988,602
55989,107
55990,79
55990,217
55990,435
55991,55992
55993,376
55994,55995
55995,72912
55995,92762
55995,93739
55995,100540
55995,105027
55995,120350
55995,150246
55995,174586
55996,602
55997,79
55998,55999
56000,56001
56002,1893
56002,4294
56003,3724
56004,1132
56005,781
56006,147
56006,158
56006,1803
56006,89035
56008,447
56008,538
56008,934
56008,3804
56009,20359
56010,3695
56011,56012
56013,10
56013,1623
56014,1983
56015,269
56016,56017
56018,784
56019,422
56020,56
56021,56022
56023,86
56024,207
56025,83
56027,862
56028,392
56029,254
56029,557
56030,294
56031,56032
56033,6303
56035,557
56036,56037
56036,68069
56036,73803
56036,78094
56039,372
56039,907
56039,968
56039,1544
56039,1837
56039,1955
56040,379
56040,536
56040,1618
56041,611
56042,1287
56043,56044
56045,9029
56047,222
56048,557
56049,557
56050,1556
56051,50
56052,1983
56053,72
56054,30
56055,56056
56057,56058
56059,20
56060,207
56061,1858
56062,1860
56063,56064
56065,202
56065,203
56066,17557
56067,44
56068,56069
56068,112122
56070,868
56071,30
56071,7124
56072,158
56073,83
56074,30
56075,5547
56076,875
56078,298
56079,485
56080,366
56081,1803
56082,184
56084,56085
56086,56087
56088,30
56089,481
56089,911
56089,1449
56090,5976
56091,918
56092,1058
56093,602
56094,602
56095,1454
56097,30
56098,366
56099,72
56100,14996
56101,56102
56103,56102
56103,132469
56104,1983
56105,5976
56107,15
56108,65
56111,1983
56113,1983
56114,56115
56116,9560
56117,206
56118,146
56119,1623
56120,273
56120,274
56120,422
56121,1858
56122,1860
56123,79
56124,1773
56125,56126
56127,56126
56129,3
56129,5874
56130,50887
56131,392
56132,442
56133,30
56134,72
56135,56136
56137,17334
56138,980
56139,30
56140,1612
56141,779
56142,515
56143,163
56144,72
56145,392
56145,809
56146,23010
56147,72
56148,3148
56150,259
56150,272
56150,393
56150,577
56150,599
56150,726
56150,788
56150,859
56150,980
56150,1105
56150,1381
56150,1388
56150,1531
56150,1973
56150,2178
56150,4455
56150,4545
56150,23487
56150,35486
56150,56150
56150,118436
56150,118438
56150,139010
56150,142952
56150,153787
56151,56152
56153,56154
56155,2436
56156,30
56157,56158
56159,178
56159,859
56159,3209
56160,83
56161,4
56161,5
56162,30
56163,56164
56165,1224
56166,422
56167,175
56169,442
56170,1363
56171,30
56172,4453
56173,422
56174,56
56175,56176
56177,30
56178,137
56179,106
56180,5440
56181,211
56182,304
56183,56184
56185,30
56186,588
56186,590
56186,1419
56187,1571
56188,1977
56188,1978
56189,422
56190,30
56191,1773
56192,30
56193,56194
56195,255
56196,56197
56198,1238
56199,349
56200,233
56201,302
56202,704
56203,2244
56204,931
56205,515
56207,379
56208,346
56209,586
56210,1983
56211,240
56212,841
56213,355
56214,668
56216,1274
56218,163
56219,56220
56221,1452
56222,58
56223,46
56224,1429
56224,3467
56224,3507
56225,493
56225,788
56225,1927
56226,50
56226,158
56226,285
56226,307
56226,4192
56226,4193
56227,1132
56228,781
56229,2867
56229,22880
56230,479
56231,393
56231,726
56232,306
56232,307
56233,298
56234,485
56235,2506
56236,298
56237,485
56238,3085
56239,9195
56241,640
56243,298
56244,485
56245,668
56248,298
56249,485
56250,240
56251,918
56252,366
56253,366
56254,248
56255,366
56256,623
56256,1805
56256,4760
56257,602
56258,2506
56259,56
56259,147
56260,1983
56265,1082
56266,1881
56267,536
56268,1983
56269,30
56271,1634
56272,323
56273,298
56274,79
56274,273
56274,274
56274,21944
56275,6750
56276,1082
56277,83
56278,1983
56280,137
56282,1082
56285,704
56286,1127
56287,1983
56289,18726
56290,640
56291,640
56292,640
56293,163
56294,397
56294,142430
56294,142879
56295,130
56296,56297
56298,106
56299,72
56300,422
56301,422
56302,422
56304,422
56305,422
56306,422
56307,422
56308,422
56309,7124
56311,79
56312,269
56313,1983
56314,301
56315,22
56315,861
56316,577
56317,697
56320,760
56320,1149
56322,1241
56324,37
56325,217
56327,30
56328,1368
56329,581
56330,932
56331,1983
56332,13661
56333,1381
56334,467
56334,868
56334,162599
56335,442
56336,536
56336,1274
56337,392
56338,1531
56339,30
56340,1132
56341,781
56342,18726
56343,328
56343,7124
56345,349
56345,697
56345,3260
56347,163
56348,3949
56349,160
56349,259
56349,994
56349,19010
56350,44725
56352,893
56354,1556
56355,2048
56356,72
56358,107
56358,4823
56359,422
56360,56
56361,1983
56362,1871
56363,86
56364,66
56365,433
56365,467
56365,872
56365,1010
56365,1298
56366,356
56367,1132
56368,781
56369,202
56369,203
56369,21944
56371,673
56371,1130
56372,1058
56374,68
56374,4220
56376,7124
56378,2424
56379,481
56380,222
56381,188
56382,182
56386,333
56387,192
56388,500
56389,1962
56390,1052
56391,1882
56392,1893
56393,2775
56394,54
56396,211
56396,366
56396,500
56397,287
56397,22293
56398,1711
56399,1789
56400,527
56400,88450
56400,95152
56400,140778
56400,192861
56400,207038
56400,264504
56401,305
56401,1082
56401,1807
56402,298
56403,485
56404,911
56404,972
56405,2915
56406,50
56406,1631
56407,1298
56409,97
56409,217
56411,248
56412,99
56412,356
56412,1140
56412,1888
56413,1531
56414,694
56416,15573
56417,1977
56417,1978
56418,1893
56419,83
56420,298
56421,485
56422,292
56422,673
56423,577
56424,577
56425,1179
56426,1381
56426,1639
56428,264
56428,56429
56428,57827
56428,76717
56428,99019
56428,104864
56428,104887
56428,108283
56428,109794
56428,123504
56428,204383
56430,752
56430,2353
56430,124668
56431,515
56431,1052
56431,1267
56431,1579
56431,1893
56431,2312
56431,3695
56432,30331
56433,5405
56434,151
56436,3413
56437,1983
56439,779
56440,861
56441,2775
56443,447
56444,949
56444,2421
56445,1284
56446,5547
56447,5405
56448,605
56449,1688
56450,309
56450,310
56450,5718
56451,2266
56452,2351
56453,644
56454,134
56456,518
56458,2424
56459,56460
56462,3695
56464,1805
56465,240
56466,217
56467,1653
56468,581
56471,676
56473,397
56475,859
56476,503
56476,704
56477,2744
56479,30236
56480,718
56481,809
56482,56483
56486,118
56486,4597
56487,4453
56488,19443
56489,140
56489,389
56489,671
56489,1167
56490,1980
56490,8991
56491,34
56491,35
56492,664
56492,20359
56493,6068
56494,2995
56495,8992
56497,1381
56497,56498
56499,72
56500,442
56501,779
56503,298
56504,406
56505,50
56506,366
56507,72
56508,2828
56509,516
56510,1983
56511,56512
56513,184
56514,346
56515,247
56516,258
56517,1181
56518,2266
56519,1515
56521,1127
56522,422
56523,56
56524,346
56525,278
56526,187
56527,206
56528,1983
56530,1983
56532,1323
56534,102
56535,1326
56536,408
56537,134
56537,873
56537,1082
56537,1955
56538,875
56539,809
56539,2292
56542,388
56543,920
56544,577
56545,392
56546,56547
56548,1319
56549,1267
56550,72
56551,442
56552,292
56552,483
56553,442
56556,447
56557,779
56557,1515
56557,68069
56558,202
56558,203
56559,2775
56560,447
56561,2775
56562,447
56563,56564
56565,356
56566,3413
56567,146
56567,673
56567,685
56567,827
56567,1634
56567,2460
56567,21442
56567,92476
56568,2372
56569,744
56570,312
56570,1167
56571,611
56572,1983
56573,255
56574,8788
56575,1849
56576,1531
56578,875
56579,30
56580,615
56581,255
56582,832
56583,332
56583,3135
56584,34
56584,35
56584,389
56584,536
56584,891
56584,1019
56584,1052
56584,1531
56584,7768
56584,28130
56585,1082
56587,356
56588,493
56590,1608
56591,72
56592,344
56593,285
56594,1782
56595,783
56596,296
56596,9030
56597,1544
56598,415
56599,255
56600,34
56600,35
56600,222
56600,2266
56601,1392
56602,1181
56602,1590
56603,83
56604,872
56605,178
56606,536
56607,2671
56608,872
56609,287
56609,809
56610,1007
56611,247
56612,1014
56612,1796
56613,442
56614,392
56615,1149
56617,248
56618,1085
56619,10
56620,483
56621,442
56622,158
56623,48
56624,140
56625,1639
56626,875
56627,1983
56628,30
56629,41
56629,1012
56629,1177
56630,602
56631,83
56632,697
56632,5469
56633,868
56634,151
56635,602
56637,1033
56638,602
56639,5101
56639,5102
56640,1363
56640,1454
56641,1082
56642,30
56643,366
56644,304
56644,775
56644,1140
56644,3474
56644,4411
56645,1608
56646,932
56646,1298
56647,392
56649,310
56650,356
56650,631
56650,1119
56651,1659
56652,346
56653,631
56654,640
56655,147
56655,158
56656,516
56657,56658
56659,557
56660,1983
56661,275
56662,56663
56664,4355
56665,1844
56666,346
56667,261
56667,333
56668,467
56668,518
56668,50176
56668,52232
56669,1227
56669,1229
56669,86416
56670,1082
56671,455
56672,1479
56673,536
56675,247
56677,292
56679,389
56679,1072
56680,184
56682,18726
56683,255
56684,1313
56685,388
56686,163
56687,1983
56688,376
56689,4903
56690,376
56691,885
56692,515
56692,647
56692,801
56692,835
56692,1893
56692,2626
56692,5440
56694,704
56695,56696
56697,563
56698,1188
56699,56700
56701,56700
56702,56700
56703,949
56704,1235
56704,1335
56705,83
56706,349
56707,271
56708,30
56709,1962
56710,68
56710,2590
56710,66297
56711,2590
56713,65
56714,304
56715,1001
56716,56717
56718,225
56719,72
56720,344
56721,285
56722,949
56723,1402
56724,36442
56725,1983
56726,3138
56727,918
56728,557
56729,72
56730,344
56731,285
56732,640
56733,56734
56735,261
56735,333
56737,818
56738,1235
56738,1335
56739,557
56740,557
56741,178
56742,3111
56743,4549
56744,442
56745,302
56746,1082
56747,56748
56749,56750
56751,58
56751,86
56751,167
56751,240
56751,301
56751,372
56751,444
56751,567
56751,589
56751,605
56751,615
56751,631
56751,720
56751,801
56751,843
56751,907
56751,968
56751,972
56751,973
56751,1010
56751,1122
56751,1124
56751,1140
56751,1167
56751,1231
56751,1241
56751,1284
56751,1298
56751,1309
56751,1436
56751,1522
56751,1544
56751,1564
56751,1782
56751,1785
56751,1818
56751,1837
56751,1893
56751,1955
56751,2083
56751,2191
56751,2372
56751,2557
56751,2620
56751,2979
56751,3193
56751,3194
56751,3207
56751,3218
56752,1132
56753,781
56754,83
56755,225
56756,147
56756,1247
56757,255
56758,10
56759,17772
56760,1235
56760,1335
56760,1462
56761,1247
56761,1644
56761,1844
56762,250
56762,1684
56763,44
56764,83
56765,72
56766,344
56767,285
56769,1644
56770,3370
56770,14453
56771,1363
56772,4611
56773,3247
56773,7358
56773,7363
56774,3999
56775,852
56776,72
56777,72
56778,704
56779,72
56780,1285
56781,269
56782,592
56783,72
56784,372
56785,72
56786,3069
56787,65
56788,83
56788,389
56788,455
56788,805
56788,1718
56788,1756
56788,2779
56788,2784
56788,28130
56789,1608
56790,4903
56791,217
56791,920
56792,56793
56795,56796
56797,5101
56797,6627
56798,4594
56799,34
56799,35
56799,379
56799,2784
56800,1983
56801,202
56801,203
56801,346
56801,1531
56802,30
56803,861
56804,65
56805,56806
56805,57835
56807,733
56808,2506
56810,30
56811,10
56812,515
56813,1058
56814,77
56815,30
56816,794
56816,17346
56817,422
56818,422
56819,422
56820,422
56821,422
56822,422
56823,422
56824,422
56826,107
56827,56828
56829,207
56830,366
56831,366
56832,980
56833,81
56834,56835
56836,56837
56838,10
56839,30
56840,175
56841,72
56842,54064
56843,1980
56843,8991
56844,215
56845,56846
56847,330
56848,206
56849,4810
56850,972
56852,274
56852,1210
56852,1980
56853,393
56855,56856
56857,146
56858,56859
56860,30
56861,56862
56863,602
56864,255
56865,726
56866,240
56867,452
56868,919
56869,167
56871,5906
56872,233
56873,56874
56875,991
56876,900
56877,264
56878,56879
56880,1267
56881,515
56883,372
56884,56884
56885,586
56886,56887
56888,15
56889,355
56890,1559
56891,56892
56891,57521
56891,57700
56893,1085
56893,75912
56894,56895
56894,63842
56894,69400
56894,70001
56897,663
56897,664
56898,1370
56898,1821
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62311,62312
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62620,1983
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62650,62651
62652,83
62653,62654
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62657,233837
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62700,62701
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62711,5547
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62734,18726
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62744,62745
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62800,1983
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62886,1818
62887,422
62888,1844
62888,2867
62888,2868
62889,663
62889,664
62890,1623
62891,68
62892,68
62893,1227
62893,1229
62893,21944
62893,86416
62894,872
62896,5405
62897,1634
62898,2424
62899,1019
62900,4355
62901,1983
62902,251
62904,663
62905,2979
62906,356
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62908,818
62909,1102
62910,1531
62911,1983
62913,62914
62915,644
62917,62918
62919,483
62920,209
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62922,62923
62924,298
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62924,7429
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62931,784
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62931,877
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62931,1436
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62931,3695
62931,16687
62931,115659
62931,227669
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62932,5301
62932,6955
62933,18726
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62942,920
62942,22280
62943,941
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62946,6487
62947,62948
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62953,62954
62955,941
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62971,205
62972,209
62973,30
62974,83
62975,2416
62975,2417
62976,4094
62977,1370
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62982,84257
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62985,47
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62987,579
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62988,14366
62988,14483
62989,27550
62990,873
62990,874
62990,1210
62991,1983
62992,298
62993,485
62994,392
62994,1454
62995,1425
62997,1769
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62998,3602
62998,4252
62999,1467
63000,63001
63002,209
63003,1509
63004,2697
63005,2775
63007,636
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63010,634
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63010,3370
63010,3623
63010,4594
63010,5976
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63010,6888
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63010,29475
63011,248
63012,586
63013,298
63014,485
63015,1836
63017,2116
63018,1844
63019,1983
63020,918
63021,1181
63022,1983
63023,63024
63025,1983
63026,209
63027,72
63029,676
63030,248
63031,4611
63032,222
63032,264
63033,302
63033,893
63034,248
63035,68
63036,1888
63037,818
63038,941
63038,2812
63039,1224
63040,483
63041,1871
63042,209
63043,63044
63045,1776
63046,140
63047,4411
63048,586
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63049,1113
63049,1323
63050,83
63052,1033
63052,1531
63053,65
63054,240
63054,1955
63055,1871
63056,676
63057,8907
63058,7652
63059,388
63059,14126
63060,2646
63061,349
63062,1001
63062,3094
63063,393
63064,209
63066,289
63066,290
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63066,94134
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63067,861
63067,893
63067,1231
63067,2979
63067,3422
63068,1019
63071,392
63072,247
63073,2979
63074,417
63075,83
63075,852
63075,3422
63075,6068
63075,44725
63079,3367
63080,1805
63081,34
63081,35
63081,68
63081,167
63081,217
63081,227
63081,240
63081,248
63081,264
63081,289
63081,290
63081,301
63081,392
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63081,442
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63081,493
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63081,875
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63081,1014
63081,1019
63081,1085
63081,1151
63081,1181
63081,1210
63081,1282
63081,1370
63081,1462
63081,1466
63081,1531
63081,2671
63081,2979
63081,3804
63081,8537
63081,94134
63081,144988
63083,818
63084,640
63085,4672
63086,273
63086,274
63086,313
63087,9018
63088,577
63088,852
63088,1070
63089,920
63090,760
63091,1983
63092,209
63093,5405
63095,126
63096,809
63096,19010
63097,32
63097,720
63097,875
63097,1117
63097,1241
63097,3260
63097,14458
63097,76096
63097,115474
63098,417
63099,485
63100,10
63101,187
63102,240
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63102,5718
63102,8537
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63106,151
63107,240
63107,818
63108,63109
63110,393
63111,2979
63112,63113
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63115,63116
63117,298
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63119,217
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63126,779
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63127,626
63128,818
63129,483
63131,622
63132,107
63132,2646
63133,1836
63134,3413
63135,1983
63136,251
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63136,1222
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63137,3
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63139,63140
63141,376
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63144,1707
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63154,4611
63155,63156
63157,247
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63161,153670
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63178,640
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63200,577
63202,5440
63203,1522
63204,557
63205,557
63206,704
63207,13980
63208,1707
63209,24505
63210,7652
63211,1983
63212,349
63213,269
63214,805
63215,1983
63216,298
63217,485
63218,3413
63219,3085
63221,63222
63223,920
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63227,932
63228,302
63228,4823
63228,6303
63229,298
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63231,340
63232,178
63233,79
63234,1858
63235,1858
63236,1860
63237,1860
63238,219
63239,697
63240,9121
63241,1556
63242,861
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63244,120
63245,704
63246,271
63247,72
63247,1363
63248,63249
63250,602
63251,602
63252,1858
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63255,251
63255,516
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63255,1033
63256,1634
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63260,63261
63262,158
63262,63263
63264,21944
63265,298
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63269,640
63270,233
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63270,590
63270,592
63270,631
63270,805
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63270,1818
63270,2620
63270,5718
63271,1983
63272,862
63273,328
63275,184
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63277,366
63278,107
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63279,135
63279,137
63280,63281
63282,63283
63284,248
63285,779
63286,63287
63288,63287
63289,920
63290,2480
63291,862
63292,1181
63293,63294
63295,63296
63297,2351
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63299,63300
63301,1511
63301,3069
63302,907
63303,3804
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63305,44
63306,6263
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63310,7652
63311,16045
63312,9560
63313,9560
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63315,9121
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63317,30
63318,5440
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63325,366
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63330,233
63331,63332
63333,872
63334,63335
63336,79
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63337,2469
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63338,21736
63339,366
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63341,1298
63341,4545
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63349,1
63350,784
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63353,385
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63354,2979
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63355,68069
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63388,318
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63390,647
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63396,63397
63398,640
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63401,344
63403,622
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63410,222
63410,278
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63411,818
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63411,127158
63413,356
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63413,1285
63414,2775
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63420,1122
63424,868
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63432,9030
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63434,336
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63434,2528
63434,72439
63435,364
63436,668
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63441,720
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63452,392
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63453,63454
63455,809
63456,147
63457,31237
63458,217
63458,1019
63459,417
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63461,425
63463,30
63464,447
63465,5405
63466,63467
63468,63467
63469,304
63470,579
63470,63471
63472,30331
63474,13136
63475,693
63476,497
63477,187
63478,1509
63479,893
63480,1818
63481,346
63482,30
63483,206
63483,1326
63484,312
63485,304
63486,63487
63488,6682
63489,3413
63490,3538
63491,567
63491,604
63491,750
63491,762
63492,6726
63493,302
63494,107
63494,151
63495,3724
63496,644
63497,4355
63498,23010
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63501,63502
63503,392
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63506,3260
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63510,222
63511,1634
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63516,21944
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63522,21944
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63526,6303
63528,1977
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63529,422
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63536,875
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63541,21944
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63544,4545
63544,16331
63544,139010
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63546,1454
63547,1010
63548,1983
63549,760
63550,21944
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63553,31896
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63602,30
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63691,8788
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63695,1
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63700,107
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63722,1
63723,347
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63726,59
63727,3069
63728,134
63729,44725
63730,1983
63731,233
63732,8308
63733,704
63734,957
63734,1815
63735,538
63735,996
63735,1294
63736,72
63737,596
63738,596
63739,240
63739,694
63740,805
63742,280
63743,333
63744,557
63745,557
63746,557
63747,1572
63748,2351
63750,2334
63750,3602
63751,30
63752,685
63753,50
63754,1370
63754,1821
63755,379
63755,1096
63756,63757
63758,58
63758,3474
63758,5547
63759,255
63760,30
63761,483
63762,1531
63763,83
63764,184
63765,2506
63766,557
63767,79
63768,178
63769,273
63769,274
63770,30
63771,72
63772,358
63774,875
63777,2506
63778,58
63779,46
63780,58
63781,46
63782,2989
63782,2991
63783,2506
63784,744
63784,1844
63784,19010
63785,2506
63786,9025
63787,2620
63788,63789
63790,310
63791,1707
63792,424
63793,417
63793,611
63793,852
63794,151
63795,63796
63797,63798
63799,72
63800,344
63801,285
63803,63804
63803,171437
63805,3960
63806,366
63807,344
63807,3474
63807,5547
63808,366
63809,104
63810,366
63811,1235
63811,1335
63811,2089
63811,2940
63811,21944
63812,15573
63813,704
63814,2210
63814,4237
63815,63816
63817,366
63818,18726
63819,63820
63821,63822
63823,163
63824,704
63825,22
63825,211
63826,252
63826,318
63826,41170
63827,563
63828,366
63829,252
63829,318
63829,41170
63830,63831
63832,611
63833,2590
63834,18726
63836,18726
63837,163
63838,1370
63838,1821
63839,50791
63840,671
63841,366
63843,30
63844,8270
63845,63846
63847,1363
63848,304
63849,63850
63849,82446
63849,129486
63851,704
63852,3
63853,63854
63855,2867
63855,2868
63855,22880
63856,2506
63857,5375
63858,63859
63861,30
63862,240
63862,1411
63862,63863
63862,90817
63862,109195
63864,195
63864,640
63864,17228
63864,27217
63865,925
63866,685
63867,752
63867,63868
63867,78963
63867,90618
63867,91133
63867,92100
63867,92826
63867,108337
63867,108614
63867,117580
63867,156583
63867,177387
63869,63870
63871,72
63872,344
63873,285
63874,233
63875,44
63876,14366
63877,30
63878,611
63879,872
63879,1127
63881,1983
63882,72
63883,818
63884,1776
63885,63886
63887,376
63888,10
63889,2367
63890,920
63891,676
63892,611
63893,355
63894,3209
63895,611
63895,1449
63896,6027
63897,63898
63899,1983
63900,3804
63901,302
63901,1019
63902,611
63903,13361
63904,302
63907,1235
63907,1335
63908,1984
63909,10
63909,704
63909,784
63909,805
63909,1149
63909,1631
63910,875
63911,18726
63912,163
63913,2979
63914,58
63915,46
63916,202
63916,203
63917,875
63918,827
63919,63920
63921,875
63922,4980
63923,358
63924,118
63924,4597
63925,209
63926,571
63926,868
63926,1096
63927,1014
63928,302
63929,58
63930,46
63931,704
63932,29380
63933,192
63934,360
63934,2626
63935,3960
63936,1544
63937,640
63938,640
63940,640
63941,479
63942,779
63943,538
63944,302
63946,2574
63947,1113
63948,209
63950,640
63951,2775
63952,447
63953,1858
63954,1860
63955,137
63957,63958
63959,63960
63961,2168
63961,2944
63961,18831
63963,907
63963,932
63964,187
63965,1955
63965,8276
63966,356
63966,843
63967,626
63967,752
63967,1571
63967,1634
63968,1707
63969,1363
63970,4455
63972,417
63973,907
63975,581
63976,301
63977,2995
63979,1326
63980,50
63980,516
63980,622
63981,63982
63983,3474
63984,818
63984,17309
63985,920
63986,83
63987,406
63987,1515
63989,3413
63990,120
63990,752
63990,1119
63990,6068
63991,83
63992,66
63993,298
63994,485
63995,676
63996,63997
63998,338
63998,668
63999,64000
64001,1359
64002,1556
64003,240
64003,255
64004,1323
64005,102
64006,1326
64007,408
64008,5662
64009,1289
64010,106
64010,192
64010,251
64010,346
64010,435
64010,447
64010,516
64010,586
64010,620
64010,934
64010,1033
64010,1175
64010,1512
64010,1985
64010,5992
64011,3695
64012,26
64012,59
64013,3585
64014,875
64016,264
64016,1127
64016,1381
64016,1893
64017,392
64019,58
64020,46
64022,187
64023,644
64024,644
64024,697
64024,3003
64025,192
64026,1085
64026,1580
64026,75912
64029,424
64030,483
64032,171
64033,417
64034,875
64035,304
64037,106
64037,337
64038,3413
64039,602
64041,273
64041,274
64042,2574
64043,525
64044,406
64045,64046
64047,140
64048,35486
64049,336
64050,1392
64051,422
64052,422
64053,422
64054,422
64055,599
64056,422
64057,422
64058,422
64059,422
64060,422
64061,1294
64062,586
64063,337
64064,929
64065,4177
64066,77
64067,192
64067,337
64067,841
64067,2244
64068,2646
64070,167
64070,2083
64072,87
64072,392
64072,595
64072,703
64072,872
64072,1151
64072,1572
64072,2274
64074,1085
64075,66
64075,467
64075,868
64076,875
64077,1447
64078,287
64078,733
64078,827
64079,192
64079,285
64080,1977
64080,1978
64081,72
64082,344
64083,285
64085,2775
64086,87
64086,392
64086,595
64086,703
64086,872
64086,1151
64086,1572
64086,2274
64087,875
64088,1590
64089,2889
64090,636
64091,64092
64091,113456
64091,120467
64091,123431
64091,160563
64091,186447
64091,213626
64091,213640
64091,231961
64091,237516
64091,240350
64091,242982
64093,289
64093,290
64094,310
64095,1608
64097,217
64099,3161
64100,64101
64103,107
64104,392
64105,2929
64106,146
64107,151
64108,278
64108,694
64108,1019
64108,6789
64109,875
64110,1858
64111,1860
64112,1241
64113,874
64114,4455
64115,17228
64116,130
64117,4611
64118,1544
64119,83
64120,349
64121,687
64121,1556
64122,302
64123,44
64124,852
64124,5591
64125,247
64126,605
64127,1140
64127,5547
64128,1983
64129,106
64129,1033
64129,6119
64130,518
64130,1113
64130,1326
64130,1955
64130,8270
64131,392
64132,1769
64133,1891
64134,72
64135,577
64135,1429
64136,41
64137,356
64138,302
64139,219
64140,280
64141,206
64142,287
64143,422
64144,56
64145,592
64148,2979
64149,1119
64150,1119
64151,861
64152,702
64152,874
64152,1210
64153,192
64153,622
64153,663
64153,664
64154,1298
64154,1436
64155,2421
64156,1167
64158,1837
64159,1639
64160,1579
64161,1688
64162,1837
64164,850
64165,6750
64166,1147
64167,861
64168,66
64169,4980
64170,3209
64171,292
64171,312
64171,1177
64171,2443
64172,233
64173,6068
64174,1608
64175,483
64176,64177
64178,264
64178,736
64179,704
64180,64181
64182,1010
64182,1849
64183,349
64184,2995
64185,1019
64185,1462
64186,26
64186,59
64186,21944
64187,861
64188,390
64188,6068
64189,147
64189,158
64190,1639
64191,1579
64192,1454
64192,8541
64193,483
64194,64195
64196,83
64197,1085
64197,75912
64198,151
64199,233
64200,106
64200,192
64200,202
64200,203
64200,252
64200,318
64200,516
64200,586
64200,1220
64200,1222
64200,16201
64200,41170
64201,259
64202,64203
64205,1635
64206,207
64206,647
64206,934
64206,1058
64206,1247
64207,779
64208,818
64209,1571
64210,292
64211,83
64212,1849
64214,1
64215,1983
64216,64217
64218,500
64219,366
64220,178
64221,2590
64222,86
64222,104
64222,516
64222,671
64222,932
64222,953
64222,1127
64222,1243
64222,1458
64222,3507
64222,4355
64223,86
64224,1096
64225,875
64226,973
64227,3538
64228,247
64229,392
64230,2671
64231,83
64232,8992
64233,5366
64234,65
64236,1590
64236,1644
64237,390
64237,424
64237,438
64237,479
64237,536
64237,644
64237,1058
64237,1282
64237,2528
64237,3041
64237,7155
64238,875
64240,1
64241,280
64241,17245
64242,33598
64243,2367
64244,406
64245,83
64246,195
64247,772
64248,1
64249,7652
64250,875
64251,72
64252,1556
64253,875
64254,592
64255,1363
64256,1274
64257,2006
64258,779
64258,68069
64259,1381
64260,861
64261,298
64262,485
64263,7360
64264,390
64265,30
64266,1465
64267,326
64268,4
64268,5
64270,835
64271,247
64272,671
64273,21944
64274,527
64275,1227
64275,1229
64275,86416
64276,657
64277,3413
64278,2944
64279,302
64280,527
64281,64282
64283,10
64283,120
64283,278
64283,333
64283,467
64283,3297
64283,5101
64283,37414
64283,66733
64283,66797
64283,66898
64284,364
64284,1252
64284,1253
64285,134
64286,1285
64287,455
64288,657
64289,225
64290,827
64291,4903
64292,1551
64293,779
64295,3507
64296,5213
64297,743
64298,21944
64299,72
64300,240
64300,269
64301,4192
64301,4193
64302,30
64303,376
64304,885
64306,14797
64307,64308
64310,1096
64311,83
64312,72
64313,30
64314,389
64315,1082
64316,107
64317,202
64317,203
64318,64319
64320,557
64321,557
64322,1707
64323,2506
64324,1235
64324,1335
64324,1462
64325,8270
64326,704
64327,305
64328,217
64329,6068
64331,2775
64332,447
64333,1983
64334,596
64334,1368
64335,118
64335,4597
64336,30
64337,64338
64340,704
64341,240
64341,1955
64342,30
64343,298
64344,485
64345,4594
64346,83
64347,104
64347,136
64347,596
64347,617
64347,1368
64347,38144
64347,40220
64347,64509
64347,65395
64347,66873
64348,64349
64350,779
64351,120
64352,4895
64353,56
64353,192
64353,1623
64354,34
64354,35
64354,2784
64355,949
64356,64357
64358,1462
64358,8537
64359,862
64360,4895
64361,269
64362,515
64363,30
64364,30
64365,206
64366,704
64367,72
64368,64369
64370,328
64371,64372
64373,64374
64375,779
64376,932
64377,8270
64378,417
64379,663
64379,664
64380,2205
64380,2206
64381,393
64382,8822
64383,72
64384,344
64385,285
64386,118
64386,4597
64387,8308
64388,13919
64389,704
64390,30
64391,2506
64392,4276
64392,22880
64393,1133
64394,704
64395,704
64396,663
64396,664
64397,358
64397,687
64398,1634
64399,424
64400,298
64401,18726
64402,163
64403,64404
64405,3182
64406,1980
64406,8991
64407,134
64408,779
64409,202
64409,203
64409,332
64409,1392
64409,1572
64409,6837
64410,2116
64411,64412
64413,217
64414,1133
64415,704
64416,2367
64417,9323
64418,417
64419,973
64420,7358
64420,7363
64421,211
64422,118
64422,4597
64423,118
64423,4597
64424,676
64425,366
64426,366
64427,366
64428,366
64429,366
64430,366
64431,366
64432,366
64433,366
64434,366
64435,30
64436,366
64437,366
64438,366
64440,366
64441,366
64442,366
64443,366
64444,64445
64446,1265
64446,1266
64448,2266
64449,233
64451,3413
64453,2116
64454,2048
64455,376
64457,1298
64457,1732
64457,75912
64458,64459
64460,9005
64461,355
64462,171
64463,1181
64464,1968
64465,298
64466,485
64467,1858
64468,1860
64470,251
64470,465
64471,302
64472,64473
64474,4192
64474,4193
64475,425
64475,1276
64476,1740
64477,433
64477,1634
64478,1927
64479,657
64480,2775
64481,447
64482,3
64482,1871
64483,1983
64484,1983
64485,1983
64486,310
64487,298
64488,682
64489,64490
64491,1860
64492,251
64492,465
64492,877
64492,1985
64493,779
64495,1858
64496,1860
64497,264
64497,515
64497,736
64497,1289
64498,217
64499,1860
64500,44
64501,1634
64502,79
64503,875
64504,1688
64505,640
64506,336
64507,1590
64508,874
64510,349
64511,1235
64511,1335
64511,2209
64511,8180
64511,21711
64512,703
64514,107
64514,2646
64515,50
64516,500
64517,1962
64518,1052
64519,1882
64520,2775
64521,54
64522,1983
64523,1983
64525,589
64525,1001
64525,1085
64526,1001
64526,1235
64526,1335
64526,2116
64527,515
64528,30
64529,1983
64530,1220
64531,2775
64532,447
64533,749
64533,1146
64533,3538
64534,2334
64535,602
64536,64537
64538,980
64539,406
64540,581
64541,808
64543,596
64544,1506
64545,1983
64546,202
64546,203
64547,1127
64548,64549
64550,1881
64550,5326
64551,682
64552,1220
64552,1222
64553,252
64554,251
64556,682
64557,349
64558,682
64558,72439
64559,2353
64560,682
64560,72439
64561,682
64561,72439
64562,261
64562,333
64563,251
64563,252
64563,925
64563,1220
64563,1222
64563,41170
64564,1776
64564,4193
64565,34
64565,158
64566,5591
64568,158
64568,1181
64569,485
64570,467
64570,189839
64571,1688
64572,439
64573,30331
64574,278
64575,254
64576,1267
64578,240
64578,1285
64579,1983
64581,1955
64582,79
64582,333
64585,1983
64586,273
64586,274
64588,2116
64589,623
64589,1805
64590,4611
64591,349
64592,1085
64593,805
64596,7652
64597,273
64597,274
64598,406
64598,516
64598,1181
64599,1663
64600,72
64601,644
64603,107
64603,200
64603,364
64603,3474
64604,302
64605,1983
64606,973
64607,1509
64608,390
64609,273
64609,274
64610,440
64611,222
64612,1243
64613,433
64614,5405
64615,1210
64616,536
64617,577
64617,1429
64618,1983
64619,1983
64621,1133
64622,338
64622,340
64622,344
64622,360
64622,515
64622,835
64622,1052
64622,1127
64622,1224
64622,1267
64622,1663
64622,1673
64622,1836
64622,1893
64622,2312
64622,2367
64622,13538
64622,49057
64622,81070
64624,788
64625,431
64626,425
64627,10
64628,2574
64629,5405
64630,868
64631,41
64631,1119
64633,264
64634,219
64634,68069
64635,893
64637,868
64638,1608
64639,17334
64640,364
64641,312
64642,1522
64643,203
64643,2931
64644,479
64645,415
64646,1579
64647,1639
64648,30
64648,248
64649,1977
64649,1978
64650,493
64651,5212
64652,275
64653,2205
64653,2206
64653,33424
64654,64655
64657,500
64658,1962
64659,1052
64660,1882
64661,2775
64662,54
64663,1860
64664,192
64665,302
64667,809
64668,1881
64669,620
64669,8244
64670,1140
64671,1274
64672,81
64672,200
64673,8180
64675,697
64675,703
64676,4771
64677,5102
64677,15119
64678,671
64678,1294
64679,64680
64679,85299
64681,390
64681,775
64682,1326
64683,538
64684,439
64684,809
64684,141912
64685,1010
64685,1326
64686,510
64687,211
64688,872
64689,248
64690,30
64691,1243
64692,422
64693,422
64694,422
64695,422
64696,422
64697,422
64698,422
64699,422
64700,364
64701,859
64702,422
64703,1181
64704,1608
64705,298
64706,2995
64707,1462
64708,1522
64709,309
64709,310
64709,1181
64710,422
64711,422
64712,536
64713,54
64715,126
64715,972
64715,1267
64715,2605
64715,3474
64716,920
64717,222
64718,188
64719,182
64720,240
64721,422
64722,1844
64722,162599
64723,72
64724,1453
64725,83
64726,500
64727,439
64728,1962
64729,1052
64730,1882
64731,2775
64732,30
64733,54
64734,64735
64736,581
64737,515
64738,2436
64739,784
64740,525
64741,920
64743,957
64743,1815
64744,1590
64746,259
64747,697
64748,58
64749,46
64750,2506
64751,784
64752,313
64753,7757
64754,1
64754,149
64754,160
64754,222
64754,340
64754,397
64754,644
64754,668
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66480,1465
66481,1893
66482,644
66483,1983
66484,87
66484,1151
66484,2274
66485,422
66486,1326
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66488,422
66489,631
66489,2620
66489,6837
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66492,298
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66497,1267
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66499,5101
66500,611
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66500,6837
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66500,49456
66500,60432
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66500,76748
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66500,146393
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66504,296
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66511,636
66513,3115
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66516,337
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66519,1631
66520,749
66520,1313
66520,1571
66521,1983
66522,1893
66523,744
66523,783
66523,1033
66524,1893
66525,1181
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66526,306
66526,307
66526,344
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66526,861
66528,1
66530,605
66531,87
66531,3507
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66532,50
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66532,130
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66532,259
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66532,996
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66534,779
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66543,577
66544,5265
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66546,1977
66546,1978
66547,485
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66551,1983
66553,83
66555,2224
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66622,170376
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66664,818
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66685,66686
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66700,8788
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66724,113156
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66726,66727
66726,69215
66726,69601
66726,70279
66726,70563
66726,70586
66726,73626
66728,1980
66728,8991
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66731,779
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66735,779
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66750,3246
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66751,393
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66755,66756
66757,66758
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66772,1983
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66800,557
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66802,66803
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66810,1983
66811,66812
66814,2995
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66819,21487
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66840,66841
66842,66843
66844,1968
66845,1265
66845,1266
66846,1983
66848,1
66850,438
66851,1707
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66882,66883
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66890,779
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66895,66896
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66900,4597
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66903,66904
66903,66925
66905,8822
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66945,1983
66946,66947
66948,1
66949,3370
66949,14453
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66972,66973
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67000,19133
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67020,932
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67046,1983
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90400,10
90401,1912
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90461,90461
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90496,90497
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90500,90501
90502,298
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90601,1210
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90611,90612
90614,90615
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90658,94437
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90664,2146
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90665,93401
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90669,90670
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90675,868
90676,90677
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90680,491
90680,827
90680,2315
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90682,1983
90683,200
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90688,843
90689,90690
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90701,1149
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90711,718
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90727,90728
90729,90728
90730,90728
90731,90728
90732,10
90733,1556
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90736,1238
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90740,90741
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90747,90748
90749,1181
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90765,39564
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90769,1359
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90783,1983
90784,298
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90811,1983
90812,1977
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90813,26181
90814,90815
90816,158
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90820,90821
90823,406
90824,1983
90825,90826
90828,1096
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90836,1983
90838,1983
90839,240
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90844,477
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90845,7087
90845,90845
90845,123847
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90845,264446
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90858,1983
90859,138
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90922,843
90923,3207
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90925,2991
90926,15523
90927,1983
90928,90929
90930,48
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90932,2646
90933,315
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90933,996
90933,1474
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90942,68069
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90946,90947
90948,248
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90985,90986
90985,92612
90985,200654
90985,204933
90987,264
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90994,90995
90994,97770
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90997,90998
90999,467
91000,247
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91004,91005
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91009,2775
91010,447
91011,393
91012,31934
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91014,147
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91015,2867
91015,2868
91016,1531
91017,450
91018,1877
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91022,91023
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91025,88820
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91036,366
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91071,865
91071,994
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91073,91074
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91089,91090
91092,875
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91095,91096
91097,72
91098,2775
91099,447
91100,175
91101,298
91102,195
91103,195
91105,91106
91107,1983
91108,206
91109,417
91110,83
91111,258
91112,68069
91113,392
91114,859
91115,636
91116,850
91117,91118
91119,91120
91121,91122
91123,313
91124,306
91124,307
91125,68467
91126,68069
91127,255
91128,536
91129,3161
91130,30
91131,91132
91134,195
91135,2671
91136,91137
91136,96400
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91139,175
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91141,366
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91142,72439
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91146,536
91147,91148
91149,30
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91152,91153
91155,862
91156,91157
91159,30
91160,1132
91161,781
91162,30
91164,298
91165,485
91166,1983
91167,4611
91168,1544
91169,483
91171,91172
91171,113108
91173,4611
91174,1544
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91176,485
91177,760
91179,91180
91181,415
91183,355
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91187,579
91188,1001
91190,1298
91191,30
91193,91194
91195,298
91196,485
91197,784
91198,91199
91200,1634
91201,1858
91202,1860
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91204,485
91205,3695
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91212,7572
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91216,298
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91220,861
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91223,91224
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91230,592
91233,640
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91236,91237
91238,91237
91239,640
91240,91241
91242,640
91243,77
91244,2775
91245,447
91247,3524
91248,1983
91249,91250
91251,91237
91252,91253
91252,151630
91254,4571
91255,147
91256,406
91257,289
91257,290
91261,298
91262,485
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91263,1858
91264,91265
91266,298
91267,485
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91270,994
91272,3447
91273,980
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91274,137
91275,1132
91276,781
91277,649
91278,1818
91279,783
91280,932
91281,160
91282,1983
91283,83
91284,32
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91285,68069
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91291,868
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91328,91328
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91329,2626
91330,818
91331,1983
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91337,1127
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91349,91350
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91449,973
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91500,2867
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91501,104
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91520,91521
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91522,536
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91522,4672
91523,626
91524,72
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99064,99065
99066,1983
99067,99068
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99285,4039
99285,99287
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99288,99289
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99292,1684
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99294,874
99295,1359
99296,16153
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99300,99301
99302,885
99302,13704
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99305,56
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99307,99308
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99310,1939
99311,10
99312,1381
99313,1265
99313,1266
99314,3209
99315,859
99316,225
99317,8855
99318,5405
99319,2048
99320,1149
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99322,2931
99323,7358
99323,7363
99324,450
99325,8270
99326,714
99327,2697
99329,5440
99330,298
99331,485
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99334,6068
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99337,1335
99338,99339
99340,99341
99340,109726
99340,126436
99340,153837
99342,149
99343,1260
99344,298
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99346,310
99347,8822
99348,422
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99351,99352
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99354,4597
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99363,781
99364,338
99365,2590
99366,99367
99366,155451
99368,1133
99369,644
99370,3413
99371,255
99372,366
99373,99374
99375,493
99376,483
99377,835
99378,32
99379,1983
99380,99381
99382,207
99383,1149
99384,4101
99385,99386
99387,120
99388,99389
99390,850
99391,99392
99393,99394
99395,99396
99397,872
99398,1429
99399,99400
99403,99404
99405,668
99407,4487
99408,30
99408,772
99409,258
99412,104
99412,134
99412,135
99412,136
99412,137
99412,850
99413,99414
99416,1181
99416,1515
99417,843
99418,99419
99420,2506
99421,30
99422,2699
99424,99425
99426,264
99427,298
99428,485
99429,99430
99431,310
99432,589
99433,17588
99434,4039
99435,2351
99436,372
99437,6323
99438,697
99438,1465
99438,1836
99439,1608
99440,99441
99442,3623
99443,298
99444,485
99445,811
99446,1143
99447,795
99448,119
99449,1163
99450,872
99451,99452
99453,44
99454,99455
99456,72
99458,255
99459,99460
99464,280
99464,17245
99465,58
99466,994
99467,46
99468,75912
99469,99470
99471,99472
99473,44
99474,206
99475,850
99476,14989
99477,99478
99479,602
99480,920
99481,99482
99483,99484
99486,99487
99488,779
99488,21944
99489,2017
99490,314
99491,151
99492,850
99493,931
99494,99495
99497,920
99498,30
99499,20
99500,1135
99500,94409
99501,30
99502,1776
99504,104
99504,134
99504,136
99505,99506
99507,355
99508,137
99509,697
99509,1769
99510,602
99511,872
99512,99513
99514,99515
99516,298
99517,485
99519,99520
99521,818
99522,781
99523,1132
99524,1612
99525,801
99525,1224
99525,1241
99526,30
99526,200
99526,772
99526,28203
99527,83
99527,801
99527,99528
99529,86
99529,4823
99530,389
99531,2574
99532,1566
99533,99534
99535,99536
99537,233
99539,1132
99540,781
99541,273
99543,22
99544,1631
99545,1983
99546,298
99547,485
99548,1415
99549,118
99549,4597
99550,79
99551,30
99552,640
99553,640
99554,99555
99556,872
99558,3538
99559,422
99560,56
99561,1983
99562,1210
99562,2620
99562,5718
99563,99564
99563,181390
99565,2646
99566,272
99567,298
99568,485
99569,99570
99571,34
99571,35
99571,389
99572,422
99574,3422
99575,422
99576,3623
99577,422
99578,422
99579,422
99580,422
99581,56
99582,422
99583,422
99584,422
99585,422
99586,422
99587,10
99588,298
99589,485
99590,1858
99591,1860
99592,868
99593,8072
99594,811
99595,2775
99596,447
99597,907
99597,148742
99598,83
99599,1983
99600,1983
99601,1983
99602,392
99602,1240
99602,1465
99603,3623
99604,298
99605,485
99606,406
99606,579
99606,620
99606,118336
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99610,781
99611,134
99611,137
99611,1368
99612,99613
99612,105194
99612,105323
99614,1132
99615,781
99616,1893
99617,1983
99618,1983
99619,99620
99621,298
99622,485
99623,2699
99624,1132
99625,781
99626,167
99626,1231
99626,1241
99626,1837
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99626,2557
99627,932
99629,1033
99630,3623
99631,422
99632,56
99633,77
99634,422
99635,56
99636,1983
99638,72
99639,850
99640,3623
99641,372
99642,1298
99643,2782
99644,3524
99645,1983
99646,1559
99647,3623
99648,83
99649,175
99650,850
99651,298
99652,30
99653,1983
99654,509
99655,1803
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99660,3623
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99663,99664
99665,1370
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99667,2048
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99669,56
99670,298
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99685,1149
99686,1
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99699,72
99700,99701
99700,103539
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99705,3069
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99708,1983
99709,1983
99710,99711
99710,129460
99712,298
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99714,99715
99716,202
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99716,4177
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99723,1462
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99726,99727
99730,99731
99732,849
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99732,207659
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99735,1978
99736,536
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99741,1132
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99746,1313
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99749,538
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99751,99752
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99764,99765
99767,58
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99799,818
99799,3247
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99805,1289
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99828,99829
99830,3623
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99835,1939
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99839,1983
99840,3623
99842,1818
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99845,392
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99848,1803
99850,1983
99851,6424
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99864,3623
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99891,99892
99893,99894
99895,4078
99896,1980
99896,8991
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99905,2590
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105700,1133
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105752,1
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105991,72
105993,105994
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106000,1143
106001,202
106002,14453
106004,37
106004,63
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106004,1740
106004,1821
106004,5992
106005,1983
106006,106007
106008,422
106009,106010
106011,4545
106011,106012
106011,139010
106013,126
106014,106015
106014,108478
106014,125155
106014,125687
106016,422
106017,1467
106018,72
106019,23011
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106045,106046
106047,106048
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106055,2424
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106059,28072
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106065,106671
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106072,108324
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106097,157231
106099,195
106100,151
106100,5440
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106110,1983
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106144,1983
106145,1379
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106159,1983
106160,647
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106258,1983
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106286,1983
106287,647
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106313,1983
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106380,2334
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106394,106395
106397,106398
106399,106400
106399,110005
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106405,202
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106405,251
106405,252
106405,516
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106408,1955
106409,1151
106410,6051
106411,3623
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106413,23783
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106446,106447
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106452,5976
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106467,10
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106492,1955
106492,66500
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106499,156379
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106503,211
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106510,251
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106569,1983
106570,1
106571,557
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106852,106853
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106881,106882
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106891,994
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109568,30
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111747,1181
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111754,111755
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113824,1235
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113825,113826
113827,30
113828,1449
113829,113830
113831,72
113833,366
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113836,1019
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113838,113839
113840,406
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113843,994
113843,1204
113844,1132
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113846,113847
113848,525
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113853,779
113853,113854
113853,116327
113853,120682
113855,252
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113859,113860
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113866,779
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113872,55849
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113878,147758
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113888,3623
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113895,422
113896,422
113897,422
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113902,422
113903,422
113904,408
113905,1983
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113909,72439
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113911,5405
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113915,1983
113916,991
113917,113918
113919,433
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113921,647
113922,422
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113924,422
113925,422
113927,579
113928,252
113929,1983
113931,599
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113934,1688
113935,3623
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113937,4545
113937,139010
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113942,1962
113943,577
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113948,3623
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113959,1204
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113973,49057
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113990,1978
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114000,137
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114002,1151
114003,21408
114004,5933
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114005,114006
114007,114006
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114010,1858
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114022,7155
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114025,21408
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114027,83
114027,784
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114034,1860
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114036,114037
114038,114037
114039,120
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114041,760
114043,3585
114044,4611
114045,1544
114046,30
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114048,1893
114048,49057
114049,175
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114052,485
114053,47
114053,2469
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114060,59931
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114063,3623
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114064,590
114064,714
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114064,1745
114064,8180
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114069,31237
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114072,289
114072,290
114072,94134
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114074,2989
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114075,163
114076,4611
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114078,861
114079,714
114080,623
114080,1805
114081,4611
114082,1544
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114083,579
114084,3209
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114086,775
114087,827
114089,1983
114090,200
114091,493
114092,1119
114092,84257
114094,483
114095,1983
114096,7698
114097,1983
114098,1240
114099,752
114100,298
114101,485
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114102,5933
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114110,72
114111,433
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114176,1677
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114178,103860
114179,1983
114180,114181
114182,66297
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114189,114190
114191,83
114192,1238
114194,2915
114194,72439
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114199,2244
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114202,1556
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114203,809
114204,1955
114205,114206
114207,346
114208,5366
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114211,211
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114212,175
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114214,114215
114216,114217
114218,72
114220,1033
114222,862
114223,114224
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114226,485
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114228,30
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114230,114231
114233,114234
114235,83
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114237,30
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114238,6068
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114242,13136
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114244,114244
114245,66297
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114247,1677
114248,557
114249,114250
114251,346
114253,435
114254,376
114255,885
114255,13704
114256,302
114257,233
114262,298
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114264,843
114265,233
114266,356
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114269,1608
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114271,920
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114275,30
114276,346
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114278,1082
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114280,872
114282,538
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114283,114284
114285,114286
114287,1243
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114295,392
114296,3069
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114300,1181
114301,30
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114303,114304
114305,72
114306,114307
114308,602
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114310,485
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114313,1243
114314,222
114315,1235
114315,17588
114317,980
114318,310
114319,1243
114320,118
114320,4597
114321,1243
114322,114323
114324,1238
114325,114326
114327,30
114330,366
114331,585
114332,4475
114333,7270
114334,366
114335,366
114336,72
114337,1243
114338,346
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114340,872
114341,1243
114342,805
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114347,485
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114350,1243
114351,1243
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114358,702
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114364,75912
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114371,30
114372,1243
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114374,535
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114374,918
114374,1655
114375,114376
114377,209
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114379,1860
114380,1243
114381,255
114382,1858
114383,1860
114384,1858
114385,1860
114386,1243
114387,3003
114388,298
114389,485
114390,114391
114392,104
114393,32475
114394,1058
114395,1983
114396,1860
114398,1243
114399,1243
114400,6955
114401,536
114402,1243
114403,1243
114404,425
114405,298
114406,485
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114409,5213
114410,1776
114411,602
114412,5405
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114414,289
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114414,2315
114414,94134
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114416,114417
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114420,298
114421,485
114423,640
114424,640
114425,298
114426,485
114427,217
114429,114430
114431,2353
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114433,485
114434,298
114435,485
114436,1243
114437,726
114438,30
114439,209
114439,861
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114441,1243
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114443,422
114444,422
114445,79
114445,301
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114446,2367
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114448,663
114449,1243
114451,907
114452,1243
114453,2674
114453,16153
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114456,536
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114458,56
114461,1096
114463,95554
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114486,114487
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114500,1572
114501,2979
114502,422
114503,56
114504,1977
114504,1978
114505,114506
114507,1983
114508,1007
114509,718
114510,114511
114512,425
114513,1243
114514,422
114515,56
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114519,1836
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114523,72439
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114525,994
114526,1243
114527,5265
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114529,1133
114530,994
114533,1983
114534,3623
114536,1983
114537,44
114538,1243
114540,104
114540,302
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114578,114579
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114639,1983
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114675,240
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114677,114677
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114913,2266
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114919,586
114919,1033
114919,1370
114919,17772
114920,114921
114923,406
114924,114925
114926,118
114926,4597
114927,1238
114928,1116
114928,1332
114928,1844
114930,114931
114932,114933
114935,30
114937,255
114938,557
114939,1522
114940,30
114942,1479
114943,390
114944,296
114945,298
114946,485
114947,72
114948,114949
114950,114951
114952,48
114952,140
114952,1052
114953,503
114954,406
114954,21442
114955,1247
114956,114957
114958,72
114959,114960
114961,805
114962,3
114962,50
114962,68
114962,81
114962,106
114962,120
114962,147
114962,158
114962,178
114962,186
114962,200
114962,202
114962,215
114962,217
114962,233
114962,240
114962,252
114962,261
114962,264
114962,289
114962,294
114962,328
114962,332
114962,337
114962,372
114962,387
114962,388
114962,406
114962,422
114962,431
114962,435
114962,493
114962,510
114962,516
114962,586
114962,592
114962,611
114962,631
114962,694
114962,704
114962,707
114962,760
114962,784
114962,818
114962,875
114962,1001
114962,1016
114962,1068
114962,1082
114962,1149
114962,1175
114962,1181
114962,1212
114962,1243
114962,1257
114962,1282
114962,1285
114962,1309
114962,1419
114962,1466
114962,1511
114962,1564
114962,1608
114962,1631
114962,1635
114962,1715
114962,1785
114962,1796
114962,1801
114962,1807
114962,1818
114962,1821
114962,1877
114962,1888
114962,1927
114962,1955
114962,1962
114962,1985
114962,2045
114962,2205
114962,2286
114962,2315
114962,2411
114962,2590
114962,2620
114962,2775
114962,2797
114962,2812
114962,2989
114962,2991
114962,3069
114962,3115
114962,3135
114962,3182
114962,3319
114962,3328
114962,3467
114962,4193
114962,4218
114962,4237
114962,4545
114962,5440
114962,5718
114962,6424
114962,6638
114962,6837
114962,7155
114962,8180
114962,9001
114962,9005
114962,9015
114962,9021
114962,9024
114962,9025
114962,11147
114962,20535
114962,21736
114962,26041
114962,27041
114962,27550
114962,28107
114962,33424
114962,54004
114962,56150
114962,94134
114962,101473
114962,101474
114962,182162
114964,114965
114966,114967
114970,147
114970,23783
114973,1955
114974,114975
114976,114977
114978,113156
114979,713
114980,109308
114981,109308
114982,109308
114983,114984
114985,114986
114987,503
114987,33424
114988,114989
114990,114991
114992,114993
114994,114994
114995,72
114996,233
114999,115000
115002,107
115003,2416
115003,2417
115004,292
115005,338
115006,298
115007,1133
115008,3538
115009,115010
115011,206
115012,355
115014,2266
115015,115016
115018,115019
115020,346
115021,795
115023,298
115024,485
115025,137
115026,83
115027,1458
115028,147
115028,1458
115029,44
115030,147
115030,1458
115031,841
115032,115033
115034,115035
115036,135
115037,346
115038,115039
115040,2779
115041,255
115042,255
115043,58
115044,115045
115046,103860
115047,115048
115049,10
115049,251
115049,1370
115050,250
115050,493
115050,1453
115050,1684
115050,118054
115050,164657
115052,269
115053,1515
115054,14434
115055,115056
115057,1462
115057,20790
115058,602
115059,602
115060,206
115061,2506
115062,872
115063,872
115064,68069
115065,392
115066,287
115066,809
115066,19010
115068,115069
115070,1436
115071,115072
115073,115072
115074,72
115075,115
115075,118
115076,1796
115077,158
115078,115079
115080,422
115081,56
115082,483
115084,115085
115084,116328
115086,346
115087,1927
115088,305
115089,920
115090,422
115091,56
115092,115093
115094,83
115095,103860
115096,30
115097,1146
115098,103860
115100,2506
115101,255
115102,115103
115105,115105
115106,115
115106,118
115107,433
115108,1102
115109,115110
115111,115112
115113,115114
115115,115116
115117,1149
115119,557
115120,862
115121,115122
115123,115123
115124,1058
115125,298
115126,485
115128,34
115128,35
115128,1313
115129,115130
115131,115132
115133,115132
115134,115132
115135,115136
115137,1007
115138,477
115139,455
115139,1019
115140,704
115141,1149
115143,1014
115144,968
115145,115146
115150,3260
115151,2775
115152,447
115153,115154
115153,172167
115155,120
115155,4691
115157,83
115157,217
115157,222
115157,261
115157,283
115157,379
115157,455
115157,536
115157,657
115157,694
115157,781
115157,1072
115157,1274
115157,1467
115157,1608
115157,1718
115157,1881
115157,2266
115157,2646
115157,2671
115157,2779
115157,2784
115157,3252
115157,4594
115157,6888
115157,29475
115157,37088
115158,115159
115160,115161
115162,10
115164,30
115164,1179
115165,7416
115166,640
115167,843
115168,83
115168,259
115168,500
115168,3507
115169,1707
115170,301
115171,115172
115173,19227
115175,115176
115177,292
115178,115179
115180,294
115181,1238
115182,296
115183,779
115183,4193
115184,298
115185,115186
115187,1452
115188,222
115189,137
115190,83
115191,233
115192,115193
115194,83
115195,83
115196,393
115197,115198
115199,115200
115201,115202
115203,115204
115205,366
115206,366
115207,366
115208,366
115209,452
115209,535
115209,676
115209,918
115209,1655
115210,115211
115213,115214
115215,115216
115217,115216
115218,346
115220,312
115221,2867
115221,2868
115222,256
115222,1014
115223,20813
115224,258
115225,349
115226,355
115227,1118
115229,4355
115230,298
115231,485
115232,602
115233,73570
115234,115235
115234,243312
115236,704
115237,10
115238,1572
115239,1837
115240,298
115241,920
115242,422
115243,20
115243,577
115243,2931
115244,602
115245,389
115246,72
115247,79
115248,602
115249,2083
115250,640
115251,818
115251,1807
115251,1955
115252,718
115253,1019
115254,422
115255,422
115256,422
115257,422
115258,422
115259,422
115260,422
115261,422
115262,1977
115262,1978
115263,302
115263,2116
115264,309
115264,310
115265,422
115266,422
115267,115268
115269,422
115270,83
115271,6119
115272,83
115273,83
115274,115275
115276,255
115277,827
115278,875
115279,115280
115281,83
115282,49057
115283,1118
115285,302
115286,1634
115287,841
115288,44
115289,217
115289,872
115289,1796
115289,2626
115290,406
115290,779
115291,2367
115294,222
115295,1659
115296,217
115298,588
115298,590
115298,805
115299,22
115299,192
115299,217
115300,595
115301,302
115302,500
115303,200
115304,200
115305,795
115306,301
115308,115309
115310,483
115311,1556
115312,10
115313,115314
115316,1289
115318,718
115319,422
115320,56
115321,171
115322,252
115322,1220
115322,1222
115325,175
115326,1722
115327,298
115328,163
115329,1619
115330,907
115332,1122
115333,149
115335,1858
115336,1860
115337,3367
115338,115339
115340,442
115341,147
115341,23783
115342,422
115343,56
115344,115345
115346,115347
115348,115348
115349,298
115350,485
115351,240
115352,222
115353,2605
115354,859
115355,171
115356,217
115357,10
115357,175
115357,184
115357,206
115358,115359
115360,577
115361,1465
115362,920
115363,1274
115364,536
115365,261
115366,309
115366,310
115367,13538
115369,248
115369,1284
115370,422
115371,56
115372,149
115372,406
115373,215
115374,2989
115374,2991
115375,49887
115376,704
115377,175
115378,3623
115379,79
115380,298
115381,3960
115382,337
115383,115384
115385,115386
115388,310
115389,536
115389,779
115390,1769
115391,536
115392,30
115393,483
115394,34
115394,349
115394,392
115394,433
115394,623
115394,644
115394,697
115394,1860
115396,195
115397,104
115398,704
115399,1
115400,1531
115401,1363
115402,200
115402,225
115402,772
115403,1659
115404,717
115405,50
115406,2367
115407,3623
115408,536
115410,422
115411,56
115412,1007
115413,79
115414,55849
115415,55849
115416,55849
115417,55849
115418,55849
115419,115420
115421,843
115422,55849
115423,1070
115424,346
115425,717
115426,376
115427,3623
115428,885
115428,13704
115429,55849
115430,4611
115431,818
115432,175
115433,298
115434,389
115435,358
115436,862
115437,557
115438,298
115439,485
115440,477
115440,23287
115440,127158
115440,214240
115441,3623
115443,278
115444,55849
115445,115446
115447,115446
115448,387
115449,115450
115451,704
115452,115453
115454,2116
115455,1807
115456,328
115457,2701
115458,1509
115459,1893
115460,406
115461,192
115461,406
115462,2506
115463,158
115463,30428
115464,115465
115467,577
115468,175
115469,298
115470,704
115471,202
115471,203
115472,298
115473,485
115474,8
115474,34
115474,35
115474,54
115474,83
115474,222
115474,278
115474,283
115474,302
115474,313
115474,314
115474,336
115474,338
115474,379
115474,397
115474,452
115474,455
115474,457
115474,536
115474,599
115474,634
115474,635
115474,676
115474,781
115474,838
115474,843
115474,849
115474,891
115474,949
115474,1011
115474,1014
115474,1118
115474,1130
115474,1274
115474,1417
115474,1434
115474,1566
115474,1618
115474,1663
115474,1881
115474,1916
115474,2159
115474,2224
115474,2319
115474,2373
115474,2421
115474,2424
115474,2646
115474,2784
115474,2821
115474,3672
115474,4048
115474,4190
115474,4234
115474,4579
115474,6822
115474,6880
115474,6904
115474,7092
115474,7698
115474,7767
115474,7768
115474,9457
115474,13622
115474,13868
115474,14094
115474,17116
115474,17273
115474,18831
115474,19413
115474,19443
115474,20757
115474,24274
115474,25272
115474,28130
115474,37088
115474,63097
115474,107100
115474,112964
115474,115474
115474,120759
115474,127158
115474,127776
115474,138701
115474,146304
115474,151760
115474,157052
115474,160809
115474,168522
115474,171621
115474,171710
115474,173332
115474,175944
115474,175945
115474,176430
115474,181063
115474,188791
115474,190108
115474,194138
115474,194315
115474,207659
115474,212914
115474,221547
115474,236740
115474,237026
115474,238184
115474,241554
115474,244132
115474,248552
115476,2506
115477,788
115478,1509
115479,3
115479,32
115479,37
115479,255
115479,337
115479,392
115479,467
115479,510
115479,516
115479,586
115479,595
115479,663
115479,697
115479,707
115479,818
115479,932
115479,972
115479,973
115479,1010
115479,1085
115479,1118
115479,1175
115479,1243
115479,1265
115479,1266
115479,1284
115479,1370
115479,1462
115479,1465
115479,1580
115479,1776
115479,1801
115479,1821
115479,1837
115479,1860
115479,1927
115479,1985
115479,2045
115479,2191
115479,2296
115479,2782
115479,2995
115479,3182
115479,3804
115479,3999
115479,6303
115479,6424
115479,6638
115479,7194
115479,8537
115479,9028
115479,44725
115480,3209
115481,406
115482,356
115483,8854
115484,1309
115485,115486
115487,147
115487,158
115488,1707
115490,298
115491,485
115492,1608
115494,1181
115495,516
115496,207
115498,207
115499,115500
115503,536
115504,2590
115505,9195
115506,1429
115507,115508
115509,668
115510,602
115512,115513
115514,258
115515,872
115516,115517
115518,115519
115521,1776
115522,269
115523,422
115524,56
115525,1143
115526,779
115527,171
115528,918
115529,7124
115530,1955
115531,104
115531,134
115531,136
115531,137
115531,138
115531,205627
115533,115534
115536,115537
115536,170475
115536,172505
115538,289
115538,290
115539,147
115539,1458
115539,80266
115539,89035
115539,102560
115540,115541
115542,115543
115544,4545
115545,1509
115546,115547
115548,115549
115550,115551
115552,4545
115552,139010
115553,215
115554,227
115556,2671
115557,251
115558,115559
115560,115559
115561,115559
115562,115559
115563,115564
115565,516
115565,2146
115566,994
115567,48
115568,1432
115569,94
115569,2787
115570,3
115571,14434
115572,273
115573,175
115574,298
115576,1509
115577,403
115578,366
115579,366
115580,233
115581,115582
115583,1240
115583,1454
115584,2315
115585,452
115585,535
115585,676
115585,918
115585,1655
115586,115587
115588,115587
115589,206
115590,115591
115592,115593
115594,175
115595,298
115596,310
115597,115598
115599,115600
115601,115602
115603,355
115605,115606
115607,310
115608,240
115609,1119
115609,1462
115609,8537
115610,2989
115610,2991
115611,422
115612,115613
115614,422
115615,1220
115615,1222
115616,252
115617,251
115618,422
115619,422
115620,422
115621,422
115622,422
115623,422
115624,422
115625,422
115626,422
115627,422
115628,422
115629,452
115630,1247
115631,184
115632,3623
115633,1801
115634,442
115634,1177
115634,2334
115635,931
115636,356
115636,615
115637,175
115638,298
115639,346
115640,115641
115643,920
115643,1043
115644,595
115644,657
115644,1453
115644,2617
115645,602
115646,481
115647,275
115647,1927
115648,406
115650,1392
115651,261
115653,2506
115654,1127
115654,1289
115654,49057
115655,115656
115657,333
115657,1531
115657,4455
115657,15573
115658,50
115659,660
115659,4260
115659,6506
115659,40566
115659,115659
115659,142409
115659,142870
115659,143287
115659,144962
115659,145502
115659,145524
115659,146280
115659,146314
115659,146952
115659,154423
115659,155480
115659,155481
115659,155493
115659,155497
115659,159115
115659,159365
115660,115661
115662,379
115663,875
115664,1556
115665,115666
115667,392
115667,1240
115667,1453
115667,1837
115668,1289
115668,2617
115669,389
115670,240
115671,392
115672,222
115673,1181
115674,1580
115676,298
115677,485
115678,83
115679,1531
115680,103860
115681,1284
115681,1715
115682,44
115683,302
115684,49057
115685,115686
115687,483
115688,4
115688,5
115688,59
115688,94
115688,114
115688,117
115688,250
115688,885
115688,1212
115688,1235
115688,1335
115688,1432
115688,1684
115688,2088
115688,2089
115688,2712
115688,2787
115688,2940
115688,3794
115688,13704
115688,154690
115689,2775
115690,447
115691,298
115692,485
115693,602
115694,408
115695,1323
115696,102
115697,1326
115698,809
115699,805
115699,2995
115700,602
115701,1390
115702,1977
115702,1978
115703,3695
115704,557
115704,772
115705,1119
115706,1749
115707,103860
115708,72
115709,2209
115710,115711
115712,640
115713,1240
115713,1465
115714,1033
115715,158
115715,1001
115716,720
115717,147
115717,158
115717,206
115718,115719
115720,147
115720,149
115720,158
115720,206
115720,406
115720,1458
115720,1515
115720,2244
115720,80266
115720,89035
115720,149534
115721,718
115722,115723
115724,115725
115726,602
115727,602
115728,602
115729,267
115731,450
115732,115733
115734,3623
115735,298
115736,346
115737,302
115738,206
115739,3623
115740,5591
115741,3623
115742,3695
115744,195
115745,1479
115746,827
115747,115748
115749,147
115749,158
115749,206
115749,1458
115750,3507
115751,602
115752,72
115753,1939
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132425,132426
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132441,441
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132470,132471
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132486,30
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132495,640
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132497,132498
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132514,132515
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132523,994
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132527,56
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132535,195
132536,714
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132542,4597
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132548,132549
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132554,2782
132554,2931
132554,3872
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132557,135041
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132557,141619
132557,148146
132560,30
132562,602
132563,602
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132565,2506
132567,132568
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132573,72
132574,344
132575,285
132576,132577
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132580,285
132581,298
132582,485
132583,481
132584,364
132585,132586
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132591,30
132592,1773
132594,132595
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132598,132599
132600,872
132601,994
132602,132603
132604,372
132604,1285
132604,2989
132604,2991
132605,171
132606,483
132607,873
132609,1515
132610,132611
132612,393
132613,22
132614,132615
132616,1837
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132634,994
132635,132636
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132638,477
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132641,240
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132643,557
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132647,132648
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132650,132651
132650,143687
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132655,1509
132656,132657
132656,226258
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132658,4611
132659,1544
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132662,999
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132670,289
132670,290
132670,718
132670,94134
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132672,485
132673,132674
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132676,602
132677,83
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132679,485
132680,298
132681,485
132682,132683
132682,137876
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132686,1479
132687,515
132688,298
132689,485
132690,298
132691,485
132692,5662
132693,132694
132695,63
132695,171
132695,250
132695,1363
132695,1684
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132698,10
132701,14434
132702,8332
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132704,393
132704,980
132704,1531
132705,132706
132707,132706
132708,602
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132711,289
132711,290
132711,94134
132712,22
132714,132715
132716,132717
132718,68
132720,200
132722,132723
132724,132725
132726,8270
132728,132729
132728,159523
132730,4545
132731,132732
132733,292
132734,132735
132736,294
132737,296
132738,298
132739,422
132740,422
132741,1414
132742,4039
132743,30
132744,132745
132746,422
132747,422
132748,132749
132750,30
132751,132752
132753,132754
132755,422
132756,233
132757,132758
132759,14989
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132763,132763
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132769,302
132769,861
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132773,1238
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132784,264
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132787,30
132788,2557
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132790,344
132791,285
132792,3207
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132794,422
132795,14989
132796,132797
132798,3069
132799,663
132801,1983
132802,647
132803,146
132804,344
132805,1452
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132816,875
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132825,647
132826,344
132827,500
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132831,2775
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132833,76096
132834,2411
132835,868
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132837,875
132838,10
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132840,1962
132841,500
132842,1052
132843,1882
132844,2775
132845,54
132846,1113
132847,477
132848,2931
132849,7652
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132852,647
132853,344
132855,298
132856,485
132857,1465
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132859,1212
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132865,298
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132867,200
132868,34
132868,35
132868,222
132868,389
132868,455
132868,536
132868,657
132869,479
132871,298
132872,485
132873,1467
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191734,179170
191735,8270
191736,179170
191737,10
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191838,2775
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191841,138686
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191845,1070
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191860,191860
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191868,500
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191875,1618
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191894,33424
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193443,358
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193469,818
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193500,179170
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193512,193513
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193600,1381
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193610,30331
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193613,19010
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193700,1773
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193705,2779
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193814,192
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193814,586
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193825,179170
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193829,422
193830,422
193831,179170
193832,422
193833,422
193834,255
193835,422
193836,422
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197362,179170
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197364,2266
197364,7092
197365,781
197366,1132
197367,781
197368,1132
197369,285
197370,626
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197372,2373
197373,1479
197374,390
197375,805
197376,58
197377,485
197378,298
197379,179170
197380,30
197381,197382
197383,197382
197384,197382
197385,197382
197386,72
197387,994
197388,145751
197389,197390
197391,10
197392,179170
197393,179170
197394,44
197395,3
197396,197397
197398,179170
197399,8991
197400,3582
197401,179170
197402,749
197403,197404
197405,72
197406,54
197406,949
197407,310
197408,805
197410,366
197411,366
197412,366
197413,179170
197414,113156
197415,197416
197417,197418
197419,147
197419,1309
197420,285
197421,536
197421,1019
197422,1571
197423,197424
197425,197426
197427,81
197427,1962
197428,197429
197430,56
197431,422
197432,355
197433,107
197434,2416
197434,2417
197435,292
197436,338
197437,298
197438,1133
197439,3538
197440,187
197441,1181
197442,31977
197443,557
197444,197445
197444,198488
197446,197447
197448,30
197449,30
197450,2620
197451,932
197452,8270
197453,647
197454,146
197454,92476
197455,344
197456,1181
197457,1181
197458,79
197459,1181
197460,195
197461,269
197462,1181
197463,30
197464,30
197465,1509
197466,197467
197468,479
197469,154408
197470,485
197471,298
197472,440
197472,1033
197475,7117
197476,44
197478,1707
197479,483
197480,10
197481,197482
197484,1893
197485,355
197486,485
197487,298
197488,298
197489,485
197490,1284
197491,1274
197492,302
197492,595
197492,1722
197492,3258
197492,204093
197493,197494
197495,102560
197496,72
197497,138686
197498,175
197499,485
197500,298
197501,1188
197502,197503
197505,145751
197506,145751
197507,79
197508,202
197509,30
197510,485
197511,298
197512,1707
197512,2367
197513,344
197514,647
197515,146
197515,92476
197516,557
197517,99
197518,843
197519,7155
197520,41
197521,99
197522,104
197523,1132
197524,781
197525,2506
197526,119
197527,872
197528,197529
197530,994
197531,145751
197532,779
197533,994
197534,393
197534,980
197535,557
197536,1014
197537,1014
197538,1014
197539,1014
197540,197541
197542,1014
197543,142473
197544,197541
197545,602
197546,1014
197547,602
197548,197549
197550,850
197551,994
197552,278
197553,393
197554,35
197554,158
197554,275
197554,406
197554,663
197554,693
197554,1247
197554,1572
197554,3297
197554,9010
197554,17588
197554,20359
197554,164572
197555,704
197556,273
197556,1116
197557,872
197558,338
197559,1849
197560,30236
197561,636
197562,251
197563,240
197564,292
197565,294
197566,197567
197568,296
197569,298
197570,8854
197572,1227
197572,86416
197573,197574
197575,68
197576,137
197577,355
197578,893
197579,861
197580,336
197581,1718
197582,818
197583,602
197584,596
197585,1539
197586,1238
197587,41
197588,167
197589,1860
197590,1858
197591,1452
197592,72764
197593,500
197594,516
197595,252
197596,1220
197596,1222
197597,340
197598,818
197599,193129
197600,992
197601,1436
197602,406
197603,251
197604,302
197605,515
197606,167
197607,422
197608,56
197609,147
197609,149
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197610,1266
197611,557
197612,83
197613,994
197614,1284
197614,148742
197615,992
197616,1240
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197618,422
197619,760
197620,1359
197621,79
197622,87
197622,1659
197623,972
197624,283
197625,577
197626,685
197626,900
197627,338
197628,422
197629,422
197630,422
197631,366
197632,422
197633,440
197634,366
197635,422
197636,422
197637,422
197638,422
197639,366
197640,422
197641,366
197642,422
197643,2784
197644,269
197645,1363
197646,784
197647,151
197648,83
197649,149
197649,195
197649,1181
197649,8798
197649,102560
197650,920
197651,179170
197652,500
197653,356
197654,106
197655,599
197656,179170
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197658,467
197659,2209
197660,344
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197662,285
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197664,609
197664,3474
197665,13661
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197666,2646
197667,640
197668,640
197669,640
197670,640
197671,200
197671,1955
197672,30
197673,1608
197674,1132
197675,83
197676,30
197677,972
197677,1718
197677,2750
197678,1151
197678,1220
197678,1222
197679,7768
197680,292
197680,509
197680,1368
197680,1688
197680,16614
197680,37414
197681,868
197682,259
197683,392
197684,302
197685,994
197686,1284
197687,818
197688,222
197689,687
197689,1556
197690,447
197691,2775
197692,2553
197693,302
197694,932
197695,83
197696,3467
197697,3328
197698,1070
197699,179170
197700,68
197701,1224
197702,1210
197703,41
197704,13
197704,1179
197705,8213
197706,1052
197707,932
197708,485
197709,145751
197710,920
197711,179170
197712,192
197713,1860
197714,1858
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197716,192
197717,1860
197718,1858
197719,72
197720,192
197721,493
197722,7
197723,41
197724,2416
197724,2417
197725,994
197726,137
197727,301
197728,366
197729,718
197730,1359
197730,60576
197731,192
197732,422
197733,1858
197734,1860
197735,473
197735,2367
197736,302
197737,209
197738,192
197739,994
197741,119
197741,192
197741,577
197741,1400
197742,158
197743,197744
197745,32751
197746,209
197747,151
197748,217
197749,403
197750,994
197751,197752
197753,1634
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197756,1113
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197759,973
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197760,818
197761,567
197762,372
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197762,590
197763,1043
197764,602
197765,302
197766,1001
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197767,1285
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197770,2590
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197775,292
197776,151
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197777,3538
197777,3846
197777,14989
197778,602
197779,200
197780,160
197781,1181
197782,346
197782,1612
197783,673
197783,1149
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197788,360
197789,55849
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197792,192
197793,1858
197794,1860
197795,515
197796,333
197797,2416
197797,2417
197798,328
197799,1580
197799,1837
197800,1082
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197811,146
197811,92476
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197813,175
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197816,179170
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197817,818
197817,1837
197817,4172
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197819,10
197819,97
197819,1252
197819,1253
197820,175
197821,999
197821,2209
197822,1858
197823,197824
197825,972
197826,83
197826,536
197826,1837
197827,1181
197828,197829
197830,22
197831,179170
197832,3846
197833,1837
197834,197835
197836,1782
197836,5961
197837,1818
197838,1117
197839,516
197840,1220
197840,1222
197841,252
197842,197843
197844,240
197844,503
197844,557
197844,592
197844,818
197844,1370
197844,1564
197844,1608
197844,1818
197844,2205
197844,2296
197844,2334
197844,9025
197844,33424
197845,179170
197846,1
197847,179170
197848,1058
197848,1688
197849,151
197850,73570
197851,179170
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197854,192
197855,179170
197856,283
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197860,248
197861,192
197863,3
197864,358
197865,718
197866,179170
197867,179170
197868,179170
197869,704
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197869,1140
197869,5547
197870,406
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197875,7155
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197877,1181
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197882,179170
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197888,1243
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197890,120
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197892,1877
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197895,179170
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197898,2807
197899,992
197900,269
197901,192
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197903,54
197905,200
197906,209
197906,302
197907,994
197908,1821
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197910,179170
197911,179170
197912,179170
197913,557
197914,79
197915,875
197916,1241
197917,184
197918,1556
197919,1860
197920,1858
197921,179170
197922,179170
197923,179170
197924,435
197925,192
197925,406
197926,119
197927,1474
197928,673
197929,392
197930,1631
197931,1659
197932,843
197933,8854
197934,179170
197935,673
197936,483
197937,2626
197938,4
197938,5
197938,2506
197939,138686
197940,175
197941,1181
197942,2244
197943,1284
197944,592
197945,200
197946,2244
197947,197948
197949,30
197950,516
197951,302
197952,333
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197953,1893
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197955,142430
197956,179170
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197960,2116
197961,151
197962,1014
197963,344
197964,647
197965,146
197965,92476
197966,1014
197967,206
197968,1837
197969,206
197970,1014
197971,1014
197972,1511
197972,3069
197973,1014
197974,197975
197976,2083
197977,1014
197978,422
197979,7092
197980,72
197980,2416
197980,2417
197981,1014
197982,30331
197983,485
197984,298
197985,247
197986,577
197987,8270
197988,8822
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197990,2620
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197993,102
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197998,2775
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198000,697
198000,1769
198001,10
198002,217
198003,818
198004,30331
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198007,198008
198009,147
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198012,179170
198013,198014
198015,636
198016,179170
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198018,2266
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198020,188791
198021,1127
198021,1769
198022,1016
198023,198024
198025,326
198026,1368
198027,1
198028,179170
198029,83
198030,1363
198031,179170
198032,195
198033,217
198034,285
198035,207
198036,455
198036,1019
198037,99
198039,861
198040,99
198041,179170
198042,788
198043,255
198044,861
198045,198046
198049,298
198050,1807
198051,358
198052,872
198053,1429
198054,179170
198055,192
198057,184
198057,202
198057,704
198058,779
198059,717
198060,198061
198062,23783
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198064,179170
198065,179170
198066,310
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198071,79
198072,179170
198073,4810
198074,8270
198075,7360
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198078,94
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198078,1253
198079,2931
198079,4193
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198081,179170
198082,1815
198083,79
198084,515
198085,994
198086,58
198087,46
198088,198089
198090,179170
198091,1143
198092,602
198093,372
198094,602
198095,30
198096,1
198097,198098
198099,893
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198101,1243
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198105,919
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198112,4260
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198162,254
198163,4066
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198165,577
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198170,356
198170,852
198171,1634
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198174,714
198175,1381
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198176,536
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198176,2944
198176,5326
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198180,3623
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198182,3623
198183,3623
198184,818
198185,818
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198191,142430
198192,1425
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198200,640
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198204,60576
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198206,60576
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198208,852
198209,60576
198210,292
198211,60576
198212,217
198213,1707
198214,779
198215,994
198216,3623
198217,2105
198218,302
198219,3474
198220,198221
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198223,264
198224,631
198225,2083
198226,994
198227,872
198228,994
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198230,56
198231,1740
198232,259
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198234,818
198235,424
198235,124668
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198237,4571
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198239,198240
198241,809
198242,360
198243,818
198244,720
198244,877
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198244,1117
198244,1837
198244,2083
198244,9024
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198256,53763
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198260,3094
198261,435
198262,626
198263,1882
198264,500
198265,818
198266,7
198267,720
198268,1619
198269,590
198269,1419
198270,141912
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198272,55849
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198275,1566
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198277,1893
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198292,920
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198298,32
198299,198300
198301,298
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198305,1220
198305,1222
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198307,251
198308,640
198309,1181
198310,450
198311,918
198312,1210
198313,1381
198314,99
198315,893
198316,841
198317,5405
198318,1181
198319,99
198320,2620
198321,392
198321,1284
198322,1160
198322,1274
198322,1294
198322,1298
198322,1644
198322,33298
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198325,893
198326,138686
198327,175
198328,525
198329,147
198330,179170
198331,269
198332,158
198332,406
198332,575
198333,1309
198334,450
198335,1285
198336,392
198337,179170
198338,682
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198339,63
198339,106
198339,192
198339,202
198339,252
198339,337
198339,516
198339,586
198339,779
198339,1220
198339,1222
198339,1243
198339,1635
198339,6119
198339,16201
198340,179170
198341,30
198341,63
198341,81
198341,140
198341,147
198341,149
198341,158
198341,192
198341,200
198341,202
198341,215
198341,302
198341,312
198341,406
198341,422
198341,503
198341,588
198341,590
198341,620
198341,622
198341,779
198341,1392
198341,1453
198341,1515
198341,1522
198341,1807
198342,893
198343,631
198344,179170
198345,760
198346,3756
198347,294
198348,179170
198349,141912
198350,861
198351,2367
198352,264
198352,647
198353,859
198354,79
198354,6119
198355,3555
198356,893
198357,312
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198359,179170
198360,477
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198362,251
198362,1512
198362,5992
198363,4594
198365,251
198366,99
198367,2620
198368,179170
198369,151
198370,1181
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198372,146
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198374,1096
198375,179170
198376,292
198377,467
198378,991
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198380,301
198381,503
198382,392
198383,652
198384,179170
198385,1801
198385,3182
198386,302
198387,104
198387,657
198387,2266
198388,1052
198389,2775
198390,54
198391,1962
198392,1882
198393,818
198394,198395
198396,392
198397,7416
198398,515
198398,2626
198399,1858
198400,1860
198401,1181
198402,179170
198403,994
198404,48
198405,1432
198406,94
198406,2787
198407,198408
198409,14434
198410,55849
198411,273
198412,179170
198413,48
198414,358
198415,1858
198416,1860
198417,56
198418,422
198419,179170
198420,278
198421,83
198422,1860
198423,1858
198424,30
198425,2116
198426,1181
198427,179170
198428,1181
198429,1882
198430,356
198431,1769
198432,56
198432,240174
198433,81
198434,179170
198435,102560
198436,1860
198437,1858
198438,1556
198439,485
198440,298
198441,1927
198442,818
198443,1300
198444,536
198445,1707
198445,3507
198446,179170
198447,30
198448,179170
198449,301
198449,305
198449,509
198449,516
198449,1298
198449,1837
198449,2083
198450,198451
198452,179170
198453,217
198453,1417
198454,104
198454,557
198454,953
198454,954
198455,250
198455,1684
198456,10
198457,1019
198458,557
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209233,211044
209235,209236
209235,209613
209237,209238
209237,209820
209240,209241
209242,209243
209242,211056
209244,209245
209244,211209
209244,211661
209246,209247
209249,209250
209249,210156
209249,211166
209252,209253
209252,211681
209254,209255
209256,209257
209258,209259
209260,209261
209262,209263
209264,209265
209264,209398
209266,209267
209268,209269
209270,209271
209272,209273
209275,209276
209277,209278
209279,209280
209279,210048
209281,209282
209283,209284
209283,209510
209283,210825
209283,211093
209283,211731
209285,209286
209287,209288
209287,210638
209290,209291
209290,210788
209293,209294
209293,211659
209293,211677
209296,209297
209301,209302
209301,209408
209303,209304
209305,209306
209305,210619
209307,209308
209307,210795
209309,209310
209309,210506
209311,209312
209313,209314
209313,210164
209313,210828
209315,209316
209315,209942
209317,209318
209317,210386
209320,209321
209322,209323
209324,209325
209326,209327
209329,209330
209329,209825
209331,209332
209331,210109
209331,211583
209333,209334
209333,211687
209337,209338
209337,209899
209337,213118
209339,209340
209342,209343
209342,211522
209344,209345
209346,209347
209348,209349
209350,209351
209352,209353
209354,209355
209354,209922
209356,209357
209358,209359
209360,209361
209362,209363
209362,210075
209362,210808
209364,209365
209366,209367
209368,209369
209368,209889
209370,209371
209370,210116
209372,209373
209374,209375
209376,209377
209376,210854
209380,209381
209380,209438
209382,209383
209385,209386
209387,209388
209391,209392
209393,209394
209396,209397
209399,209400
209399,209817
209401,217
209402,209403
209402,211258
209404,209405
209404,210632
209404,211306
209406,209407
209409,209410
209411,209412
209413,209414
209415,209416
209417,209418
209417,209890
209419,209420
209419,210377
209421,209422
209423,209424
209423,209843
209426,209427
209428,209429
209430,209431
209432,209433
209434,209435
209436,209437
209436,211752
209440,209441
209440,210187
209442,209443
209442,211136
209445,209446
209448,209449
209450,209451
209452,209453
209452,211199
209455,209456
209455,211101
209457,209458
209459,209460
209459,211768
209461,209462
209461,211543
209463,209464
209463,210980
209466,209467
209466,209509
209466,210912
209469,209470
209471,179170
209472,209473
209474,209475
209476,209477
209478,209479
209478,210147
209480,209481
209482,209483
209482,210768
209484,209485
209484,209782
209488,209489
209490,209491
209490,210737
209490,211052
209492,209493
209492,210652
209494,209495
209497,209498
209500,209501
209502,209503
209505,209506
209507,209508
209511,209512
209511,209678
209513,209514
209515,209516
209517,209518
209520,209521
209523,209524
209523,209935
209523,211434
209525,209526
209527,209528
209529,301
209530,209531
209530,210398
209532,209533
209534,209535
209536,209537
209536,210995
209538,209539
209538,209939
209538,211114
209540,209541
209543,209544
209546,209547
209546,210920
209546,210929
209548,209549
209548,209990
209550,209551
209550,210494
209550,211037
209552,209553
209554,209555
209554,210853
209556,209557
209556,210137
209556,213142
209558,209559
209558,210096
209560,209561
209560,210060
209562,209563
209564,209565
209564,210909
209567,209568
209573,209574
209575,209576
209575,211041
209577,209578
209580,209581
209582,209583
209584,209585
209584,210445
209586,209587
209586,211490
209588,209589
209588,209731
209590,209591
209590,210557
209592,209593
209594,209595
209594,211257
209596,209597
209598,209599
209598,210295
209600,209601
209602,209603
209602,209912
209602,210639
209602,210647
209602,210774
209602,211340
209604,209605
209606,209607
209608,209609
209608,210476
209611,209612
209614,209615
209614,210764
209616,209617
209618,209619
209620,209621
209622,209623
209622,211004
209622,211433
209626,209627
209626,210536
209628,209629
209628,210997
209630,209631
209630,210646
209632,209633
209632,210578
209634,209635
209634,211343
209637,209638
209639,209640
209641,209642
209641,211240
209643,209644
209643,210274
209645,209646
209647,209648
209649,209650
209651,209652
209653,209654
209655,209656
209657,209658
209657,210824
209660,209661
209660,211303
209662,209663
209664,209665
209666,209667
209666,211426
209668,209669
209670,209671
209670,210938
209670,211028
209672,209673
209674,209675
209674,211478
209676,209677
209679,209680
209679,211021
209681,209682
209683,209684
209683,210321
209683,210822
209686,209687
209686,211237
209688,209689
209690,209691
209690,209869
209690,211701
209693,209694
209696,209697
209699,209700
209701,209702
209701,211376
209701,211435
209705,209706
209707,209708
209709,209710
209711,209712
209713,209714
209713,209863
209715,209716
209715,210926
209717,209718
209717,209777
209719,209720
209721,209722
209723,209724
209723,210243
209725,209726
209725,211553
209725,211647
209727,209728
209729,209730
209732,209733
209734,1276
209734,3698
209735,209736
209735,211363
209737,209738
209737,210900
209739,209740
209739,210369
209739,211391
209741,209742
209743,209744
209743,211171
209745,209746
209747,209748
209749,209750
209751,209752
209751,210380
209753,209754
209756,209757
209756,209923
209756,210227
209758,209759
209758,210088
209758,213125
209760,209761
209760,209984
209760,211409
209762,209763
209762,210657
209765,209766
209765,210061
209765,210674
209768,209769
209770,163
209771,209772
209771,210434
209773,209774
209775,209776
209778,209779
209780,209781
209780,210435
209783,209784
209783,210324
209785,209786
209788,209789
209790,209791
209793,209794
209796,209797
209798,209799
209801,209802
209801,210389
209803,209804
209803,210009
209805,209806
209805,211525
209807,209808
209807,211083
209809,209810
209809,210921
209809,211022
209811,209812
209813,209814
209815,209816
209815,210184
209818,209819
209818,210663
209822,209823
209826,209827
209826,213096
209828,209829
209831,209832
209833,209834
209835,302
209836,209837
209839,209840
209839,210614
209841,209842
209844,209845
209846,209847
209848,209849
209850,209851
209852,209853
209854,209855
209856,209857
209859,209860
209861,209862
209865,209866
209867,209868
209867,211359
209867,211393
209871,209872
209873,209874
209873,210575
209876,209877
209876,210855
209876,210983
209878,209879
209878,210136
209880,209881
209880,210237
209882,209883
209885,209886
209885,210807
209887,209888
209891,209892
209891,211301
209894,209895
209894,210880
209896,209897
209900,209901
209902,209903
209904,209905
209904,210423
209906,209907
209906,211566
209908,209909
209910,209911
209913,209914
209915,209916
209917,209918
209920,209921
209924,209925
209926,209927
209926,211700
209928,209929
209928,210489
209930,209931
209930,211598
209932,209933
209936,209937
209940,209941
209944,209945
209944,211322
209946,209947
209948,209949
209951,209952
209953,209954
209953,211544
209953,213113
209955,209956
209957,209958
209959,209960
209961,209962
209963,209964
209965,209966
209967,209968
209967,210012
209969,209970
209971,209972
209971,210868
209973,209974
209973,210405
209977,209978
209977,211302
209979,209980
209979,210544
209979,210712
209981,209982
209981,211365
209985,209986
209988,209989
209992,209993
209994,209995
209996,179170
209997,209998
209999,210000
210001,210002
210003,210004
210005,210006
210007,210008
210013,210014
210013,210626
210016,210017
210018,210019
210018,211587
210020,210021
210022,210023
210024,210025
210026,210027
210026,211623
210029,210030
210029,210915
210031,210032
210031,211532
210033,210034
210036,210037
210036,211471
210039,210040
210041,210042
210044,210045
210046,210047
210046,211621
210049,210050
210051,210052
210053,210054
210056,210057
210058,210059
210058,210587
210062,210063
210062,211038
210064,210065
210064,211308
210064,213103
210066,210067
210069,210070
210071,210072
210071,211167
210073,210074
210076,210077
210078,210079
210078,210931
210080,210081
210082,210083
210084,210085
210086,210087
210086,210246
210089,210090
210089,210441
210091,210092
210093,210094
210093,211464
210097,210098
210099,210100
210101,210102
210103,210104
210105,210106
210105,210143
210107,210108
210107,210783
210110,210111
210110,211417
210112,210113
210114,210115
210117,210118
210117,210277
210120,210121
210123,210124
210125,210126
210127,210128
210129,210130
210132,210133
210134,210135
210134,211501
210138,210139
210141,210142
210141,211158
210144,210145
210148,210149
210148,211272
210150,210151
210152,210153
210152,211339
210154,210155
210157,210158
210159,210160
210159,211168
210162,210163
210162,210568
210162,211489
210165,210166
210167,210168
210170,210171
210173,210174
210175,210176
210175,210240
210177,210178
210179,210180
210181,210182
210185,210186
210185,210714
210185,211649
210188,210189
210191,210192
210191,211298
210194,210195
210194,211562
210196,210197
210196,211337
210198,210199
210201,210202
210203,210204
210205,210206
210207,210208
210209,210210
210209,211671
210211,210212
210213,210214
210213,210345
210215,210216
210217,210218
210219,210220
210221,210222
210221,210466
210223,210224
210225,210226
210228,210229
210228,210316
210230,210231
210230,210611
210230,211697
210232,210233
210234,210235
210238,210239
210241,210242
210241,210370
210244,210245
210248,210249
210250,210251
210253,210254
210253,211190
210255,210256
210258,210259
210260,210261
210262,210263
210264,210265
210266,210267
210268,210269
210271,210272
210275,210276
210278,210279
210278,210746
210280,210281
210280,210309
210282,210283
210282,211589
210285,210286
210288,210289
210290,210291
210293,210294
210297,210298
210299,210300
210301,210302
210301,211230
210303,210304
210305,210306
210307,210308
210310,210311
210312,210313
210314,210315
210314,211795
210317,210318
210319,210320
210322,210323
210325,210326
210327,210328
210327,210350
210330,210331
210330,211565
210333,210334
210335,210336
210337,210338
210337,210504
210339,210340
210339,210582
210339,211375
210343,210344
210343,210738
210343,211494
210346,210347
210348,210349
210351,210352
210354,210355
210357,210358
210359,210360
210361,210362
210363,210364
210365,210366
210367,210368
210367,211346
210371,210372
210373,210374
210373,211098
210375,179170
210378,210379
210378,210467
210381,210382
210383,210384
210387,210388
210390,210391
210390,211634
210392,210393
210394,210395
210396,210397
210396,211465
210399,210400
210399,210749
210399,210858
210399,211686
210401,210402
210403,210404
210410,210411
210413,210414
210415,210416
210417,210418
210419,210420
210419,210635
210421,210422
210424,210425
210426,210427
210428,210429
210430,210431
210432,210433
210432,210947
210432,211470
210437,210438
210437,210813
210439,210440
210443,210444
210446,210447
210449,210450
210449,211096
210451,210452
210453,210454
210455,210456
210457,1085
210458,210459
210460,210461
210462,210463
210468,210469
210470,210471
210472,210473
210474,210475
210477,210478
210477,211388
210479,210480
210481,210482
210481,210543
210483,210484
210483,210986
210485,210486
210485,211672
210487,210488
210487,210966
210490,210491
210492,210493
210495,210496
210495,211516
210497,210498
210500,210501
210502,210503
210505,272
210507,210508
210509,210510
210513,210514
210515,210516
210515,211366
210517,210518
210519,210520
210521,210522
210523,210524
210525,360
210525,2617
210526,210527
210526,210565
210528,210529
210530,210531
210530,211290
210532,210533
210532,210930
210534,210535
210534,211231
210537,210538
210539,210540
210541,210542
210545,210546
210547,210548
210549,210550
210549,210851
210551,210552
210553,210554
210555,210556
210558,210559
210560,210561
210562,210563
210566,210567
210566,211273
210569,210570
210571,210572
210571,211097
210573,210574
210576,210577
210580,210581
210583,210584
210585,210586
210588,210589
210588,211241
210591,210592
210593,210594
210595,210596
210597,210598
210599,210600
210601,210602
210603,210604
210603,210631
210603,210711
210605,210606
210607,210608
210609,210610
210612,210613
210615,210616
210617,210618
210620,210621
210622,210623
210622,211035
210624,210625
210627,210628
210633,210634
210636,210637
210640,210641
210642,210643
210644,210645
210648,210649
210650,210651
210650,210952
210653,210654
210655,210656
210658,210659
210658,211310
210661,210662
210665,210666
210668,210669
210670,210671
210672,210673
210675,210676
210677,210678
210679,210680
210679,211418
210681,210682
210683,210684
210685,210686
210687,210688
210689,210690
210691,210692
210691,211761
210693,210694
210695,210696
210697,210698
210699,210700
210701,210702
210703,210704
210703,211016
210706,210707
210706,211147
210708,210709
210713,179170
210715,210716
210715,211060
210717,210718
210717,210823
210719,210720
210721,210722
210723,210724
210725,210726
210727,210728
210729,210730
210731,210732
210733,210734
210733,211678
210735,210736
210740,210741
210740,211420
210742,210743
210744,210745
210751,210752
210751,210867
210751,211484
210751,211547
210753,210754
210756,210757
210759,210760
210762,210763
210765,210766
210767,1381
210769,210770
210771,210772
210775,210776
210777,210778
210779,210780
210781,210782
210784,210785
210786,210787
210789,210790
210791,210792
210791,211113
210793,210794
210796,210797
210799,210800
210801,210802
210801,211588
210803,210804
210805,210806
210805,211419
210809,210810
210811,210812
210814,210815
210816,210817
210818,210819
210818,211377
210820,210821
210820,211119
210830,210831
210832,210833
210834,210835
210836,210837
210838,210839
210838,211172
210840,210841
210842,210843
210842,210939
210844,210845
210847,210848
210849,210850
210856,210857
210859,210860
210859,211749
210861,210862
210863,210864
210865,210866
210865,211073
210869,210870
210871,210872
210871,211438
210873,210874
210875,210876
210877,210878
210881,210882
210884,210885
210886,210887
210886,211246
210888,210889
210890,210891
210892,138686
210893,210894
210895,210896
210898,210899
210901,210902
210903,210904
210903,211577
210905,210906
210907,210908
210910,210911
210910,211685
210913,210914
210916,210917
210918,210919
210918,211336
210922,210923
210924,210925
210932,210933
210936,210937
210940,210941
210942,210943
210942,211729
210945,210946
210948,210949
210950,210951
210953,210954
210957,210958
210957,211263
210959,99
210960,210961
210960,211572
210962,210963
210964,210965
210967,210968
210969,210970
210971,210972
210973,344
210974,210975
210977,210978
210981,210982
210984,210985
210987,210988
210989,210990
210991,210992
210993,210994
210998,210999
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211031,211032
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211045,211307
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211233,211234
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211459,211460
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211466,211467
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211476,211477
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211487,211488
211492,211493
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211497,211498
211497,211590
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211580,55849
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211592,211593
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211624,211625
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211635,211636
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211643,211644
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211655,211656
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211715,179170
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211723,211724
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211746,141912
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211755,211756
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211860,55849
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211888,101473
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211889,313
211889,1571
211889,1618
211889,2266
211889,68173
211889,211889
211889,213089
211889,220928
211889,221011
211890,333
211891,48
211892,30331
211893,781
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211895,1033
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211898,4
211898,5
211898,1984
211899,124668
211900,781
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211919,852
211920,3623
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211921,770
211921,784
211923,19010
211924,1220
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211925,252
211926,516
211927,505
211927,809
211928,215
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211971,663
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211973,1462
211973,8537
211974,233
211975,920
211976,149
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211978,1335
211978,2045
211978,2209
211978,3474
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211978,21711
211978,29253
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211979,255
211980,784
211981,356
211982,620
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211984,467
211985,1608
211986,1132
211987,1608
211988,1132
211990,1612
211991,861
211992,1983
211993,130
211994,406
211995,211996
211997,1140
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211999,151
212000,843
212001,920
212002,6303
212003,779
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212033,811
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212060,1132
212061,1227
212061,86416
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212064,250
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212075,179170
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212087,179170
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212096,212097
212096,240818
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212126,307
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212325,337
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212544,212545
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================================================
FILE: examples/dataset/small_data_edge.csv
================================================
Source,Target
1,2048


================================================
FILE: examples/dataset/small_data_edge_raw.csv
================================================
Source,Target
0,451
0,395
0,386
1,3637
1,3587
1,3586
1,3553
2,3583
3,4930
4,88
5,120
5,13
6,8
7,8
8,7
8,6
8,9
9,8
9,208
9,205
9,75
9,61
9,10
10,9
10,50
11,125
11,94
12,13
13,12
13,5
13,83
13,15
13,14
14,13
14,147
14,29
14,17
14,16
15,13
16,14
17,14
18,190
18,19
19,18
19,130
19,20
20,19
20,199
21,176
21,51
22,4445
23,4446
24,4461
24,53
25,136
25,58
26,203
26,139
26,131
26,94
27,166
27,161
28,98
29,14
29,160
29,130
30,140
30,123
31,104
31,62
32,174
32,155
33,34
34,33
34,97
34,35
35,34
35,142
35,141
35,69
35,36
36,35
36,157
36,47
36,39
36,38
36,37
37,36
38,36
39,36
40,202
40,97
41,232
41,218
41,167
41,58
41,42
42,41
42,181
42,98
43,163
43,94
44,47
45,47
46,184
46,47
47,46
47,45
47,44
47,36
47,171
48,106
48,101
48,75
49,4448
50,10
50,205
50,139
51,21
51,194
51,120
52,172
52,119
52,111
53,24
53,231
54,147
54,109
55,107
55,88
56,198
56,175
56,152
56,149
56,119
57,2562
57,98
58,41
58,25
58,167
58,59
59,58
59,60
60,59
60,154
61,9
61,209
61,188
62,31
62,154
63,68
64,68
65,68
66,69
67,70
68,65
68,64
68,63
68,4893
68,979
68,69
69,68
69,66
69,35
69,2344
69,1052
69,1030
69,70
70,69
70,67
70,108
71,224
71,86
72,215
72,112
72,73
73,72
73,231
73,91
74,98
75,48
75,9
76,185
76,110
76,86
76,77
77,76
77,191
77,170
78,109
78,79
79,78
79,80
80,79
80,989
80,199
80,184
81,2562
81,82
82,81
82,98
83,13
83,221
83,218
84,4461
84,4446
85,4448
85,151
86,76
86,71
86,110
87,89
87,88
88,87
88,55
88,4
88,198
88,195
88,178
88,172
88,90
89,87
90,88
91,73
91,4446
91,496
92,174
92,123
92,94
93,94
94,93
94,92
94,43
94,26
94,11
94,131
94,95
95,94
95,171
95,129
96,148
96,144
97,40
97,34
98,82
98,74
98,57
98,42
98,28
98,205
98,135
98,125
98,100
99,4459
99,100
100,99
100,98
101,48
101,210
101,123
102,140
103,190
103,153
103,145
104,31
104,222
104,174
105,1055
105,1030
105,184
106,48
106,186
107,55
107,178
108,70
108,4120
108,207
108,116
109,78
109,54
110,86
110,76
111,52
111,204
111,192
111,148
112,72
112,215
112,113
113,112
113,3770
113,129
114,115
115,114
115,205
116,108
116,522
116,207
116,118
116,117
117,116
118,116
119,56
119,52
119,175
119,148
120,51
120,5
121,122
122,121
122,123
123,122
123,101
123,92
123,30
123,140
124,232
124,194
124,173
124,153
125,98
125,11
125,208
126,129
127,129
128,129
129,128
129,127
129,126
129,113
129,95
129,4112
129,235
129,207
130,29
130,19
131,94
131,26
131,139
132,4461
133,2562
134,236
134,222
135,98
135,236
136,25
136,146
137,229
137,224
137,223
138,4882
138,205
138,150
138,143
138,140
138,139
139,138
139,131
139,50
139,26
139,140
140,139
140,138
140,123
140,102
140,30
140,186
140,141
141,140
141,35
141,142
142,141
142,35
143,138
143,234
143,202
143,151
144,96
144,192
145,103
145,196
145,194
146,136
146,153
147,54
147,14
148,119
148,111
148,96
149,56
149,198
150,138
150,191
150,181
151,143
151,85
152,56
152,198
153,146
153,124
153,103
153,158
153,157
153,156
153,154
154,153
154,62
154,60
154,173
154,159
154,157
154,155
155,154
155,32
156,153
156,189
157,154
157,153
157,36
157,193
158,153
159,154
160,29
161,27
161,196
162,165
162,163
163,162
163,43
163,191
163,164
164,163
165,162
166,27
166,176
167,58
167,41
168,229
168,170
169,227
169,187
169,170
170,169
170,168
170,77
170,171
171,170
171,95
171,47
172,88
172,52
173,154
173,124
174,104
174,92
174,32
174,189
175,119
175,56
176,166
176,21
177,180
177,179
177,178
178,177
178,107
178,88
179,177
179,206
179,199
180,177
181,150
181,42
182,184
183,184
184,183
184,182
184,105
184,80
184,46
184,997
184,200
185,76
185,187
186,140
186,106
187,185
187,169
187,230
187,228
188,61
188,205
189,174
189,156
190,103
190,18
191,163
191,150
191,77
192,144
192,111
192,193
193,192
193,157
194,145
194,124
194,51
195,88
195,204
196,161
196,145
197,201
198,152
198,149
198,88
198,56
198,201
198,200
199,179
199,80
199,20
199,201
200,198
200,184
201,199
201,198
201,197
202,143
202,40
203,26
204,195
204,111
205,188
205,138
205,115
205,98
205,50
205,9
205,207
206,179
206,207
207,206
207,205
207,129
207,116
207,108
208,125
208,9
209,61
210,101
210,213
210,212
210,211
211,210
212,210
213,210
214,499
214,215
215,214
215,112
215,72
216,228
216,225
217,218
218,217
218,83
218,41
219,224
220,221
221,220
221,83
221,225
222,134
222,104
223,137
223,227
224,219
224,137
224,71
225,221
225,216
226,230
226,229
227,223
227,169
228,216
228,187
229,226
229,168
229,137
230,226
230,187
231,73
231,53
232,124
232,41
233,234
234,233
234,143
235,129
236,135
236,134
236,237
237,236
238,4423
238,318
238,252
239,354
239,333
239,240
240,239
240,337
240,327
240,316
241,351
241,242
242,241
242,366
242,365
242,364
242,363
242,284
243,355
243,342
244,361
244,335
245,247
246,378
246,371
246,298
246,257
246,247
247,246
247,245
247,330
248,250
249,360
249,313
249,312
249,305
249,280
249,250
250,249
250,248
251,370
251,367
251,319
251,289
251,252
252,251
252,238
252,376
252,322
252,289
252,253
253,252
253,4362
253,337
254,329
254,284
254,255
255,254
255,299
255,285
256,259
257,246
257,381
257,368
257,360
257,310
257,259
258,311
258,306
258,299
259,257
259,256
260,382
260,369
260,350
260,287
260,261
261,260
261,334
261,267
261,262
262,261
262,345
262,344
263,4415
263,321
264,334
264,281
265,308
266,350
266,267
267,266
267,261
268,269
269,268
269,362
269,346
270,274
271,274
272,372
272,274
273,274
274,273
274,272
274,271
274,270
274,362
274,325
274,275
275,274
276,351
276,286
277,342
277,314
278,378
278,335
278,298
279,313
279,302
279,295
279,282
279,280
280,279
280,249
280,360
280,313
280,312
280,305
281,264
281,334
282,279
282,313
282,302
282,295
282,284
283,284
284,283
284,282
284,254
284,242
284,366
284,305
284,296
284,285
285,284
285,255
285,1178
285,316
285,306
286,276
287,260
287,351
288,290
289,252
289,251
290,288
290,4435
290,336
291,292
292,291
292,362
292,325
293,298
294,300
295,282
295,279
295,313
295,302
295,296
296,295
296,284
296,365
297,340
297,308
297,300
298,293
298,278
298,246
298,343
298,335
298,299
299,298
299,258
299,255
299,362
299,316
300,297
300,294
301,302
302,301
302,295
302,282
302,279
302,313
303,316
303,307
304,305
305,304
305,284
305,280
305,249
305,313
305,306
306,305
306,285
306,258
306,316
307,303
308,297
308,265
308,340
308,323
309,4431
309,358
309,353
310,257
310,368
310,311
311,310
311,258
311,345
311,344
312,280
312,249
312,313
313,312
313,305
313,302
313,295
313,282
313,280
313,279
313,249
314,277
314,326
314,315
315,314
315,356
315,316
316,315
316,306
316,303
316,299
316,285
316,240
316,337
317,1119
317,318
318,317
318,238
318,336
319,251
319,370
319,322
319,320
320,319
320,321
321,320
321,263
321,4341
322,319
322,252
323,308
324,325
325,324
325,292
325,274
326,314
326,4428
327,240
327,379
327,328
328,327
329,254
329,330
330,329
330,247
330,357
331,380
331,340
332,355
332,353
332,333
333,332
333,239
334,281
334,264
334,261
334,352
335,298
335,278
335,244
335,373
336,318
336,290
336,338
336,337
337,336
337,316
337,253
337,240
338,336
338,339
339,338
340,331
340,308
340,297
340,341
341,340
341,346
342,277
342,243
342,355
342,343
343,342
343,298
344,311
344,262
345,311
345,262
346,341
346,269
347,352
348,352
349,350
350,349
350,266
350,260
350,369
351,287
351,276
351,241
351,352
352,351
352,348
352,347
352,334
353,332
353,309
353,4425
353,374
353,355
353,354
354,353
354,239
354,4426
355,353
355,342
355,332
355,243
355,356
356,355
356,315
357,330
357,377
358,309
359,361
360,280
360,257
360,249
360,381
361,359
361,244
361,362
362,361
362,299
362,292
362,274
362,269
363,242
364,242
365,296
365,242
366,284
366,242
367,251
367,370
368,310
368,257
369,350
369,260
370,367
370,319
370,251
371,246
371,378
372,272
373,335
374,353
375,378
376,252
377,357
378,375
378,371
378,278
378,246
379,327
380,331
381,360
381,257
382,260
383,462
383,455
383,454
383,445
383,429
383,384
384,383
384,447
384,426
384,393
385,386
386,385
386,0
386,2307
386,446
386,445
386,387
387,386
388,430
389,2282
389,437
390,391
391,390
391,423
391,409
391,394
391,392
392,391
392,436
392,425
392,406
392,402
393,384
393,2223
393,447
393,396
393,395
394,391
394,457
394,442
395,393
395,0
395,2393
395,2213
395,419
396,393
396,2283
396,2231
396,420
396,400
396,399
396,398
396,397
397,396
398,396
399,396
400,396
401,402
402,401
402,392
402,439
402,436
402,435
402,411
402,403
403,402
404,405
405,404
405,460
405,457
405,431
405,406
406,405
406,392
407,408
408,407
408,456
408,451
408,437
409,391
409,431
410,411
411,410
411,402
411,1216
412,1248
412,473
413,468
413,464
413,462
413,459
413,452
413,415
413,414
414,413
414,425
415,413
416,469
416,450
416,444
416,430
416,417
417,416
418,421
419,395
419,456
419,421
420,396
420,2283
420,426
420,421
421,420
421,419
421,418
422,1784
422,1424
422,439
423,391
423,430
424,444
424,443
424,425
425,424
425,414
425,392
425,426
426,425
426,420
426,384
426,3987
426,447
426,427
427,426
427,1125
428,459
428,452
429,383
429,470
429,446
430,423
430,416
430,388
430,469
430,441
431,409
431,405
431,472
431,433
431,432
432,431
432,436
433,431
434,435
435,434
435,402
435,1297
435,461
436,432
436,402
436,392
437,408
437,389
438,473
438,472
438,439
439,438
439,422
439,402
440,441
441,440
441,430
441,442
442,441
442,394
442,466
443,424
443,468
443,464
444,424
444,416
445,386
445,383
446,429
446,386
447,426
447,393
447,384
448,449
449,448
449,467
449,465
450,416
450,468
451,408
451,0
451,453
452,428
452,413
453,451
453,463
454,383
454,470
454,455
455,454
455,383
455,459
456,419
456,408
456,465
457,405
457,394
457,460
458,461
459,455
459,428
459,413
460,457
460,405
461,458
461,435
462,413
462,383
463,453
463,467
464,443
464,413
464,469
465,456
465,449
466,442
467,463
467,449
468,450
468,443
468,413
469,464
469,430
469,416
470,454
470,429
471,472
472,471
472,438
472,431
473,438
473,412
474,4173
474,481
475,4446
475,4113
476,477
477,476
477,484
477,480
478,498
478,492
478,479
479,478
479,481
479,480
480,479
480,477
480,493
481,479
481,474
481,4111
481,491
482,495
482,494
482,489
482,485
483,3769
483,484
484,483
484,477
484,496
484,493
484,485
485,484
485,482
485,498
485,497
485,489
485,486
486,485
486,494
487,491
488,1201
488,1183
489,485
489,482
490,2949
490,2836
490,2835
490,2834
490,2832
490,2799
490,2680
490,2548
490,2543
490,2542
490,2426
491,487
491,481
492,478
492,497
492,493
493,492
493,484
493,480
493,4446
494,486
494,482
495,482
495,496
496,495
496,484
496,91
496,499
497,492
497,485
498,485
498,478
499,496
499,214
500,501
501,500
501,573
501,570
501,549
502,504
503,504
504,503
504,502
504,564
504,556
504,523
505,551
505,548
506,565
506,546
506,539
507,566
507,546
507,539
508,566
508,565
509,572
509,571
509,545
510,561
511,551
511,550
511,538
511,534
511,513
511,512
512,511
513,511
514,4458
515,519
516,520
517,520
518,3982
518,520
519,515
519,520
520,519
520,518
520,517
520,516
520,2312
521,4458
521,4448
521,832
521,828
521,522
522,521
522,116
522,4120
522,570
523,504
523,532
523,525
523,524
524,523
524,528
525,523
525,530
526,4145
526,532
526,527
527,526
528,524
528,530
528,529
529,528
530,528
530,525
530,531
531,530
532,526
532,523
532,573
532,568
532,564
532,556
532,548
532,533
533,532
533,570
534,511
534,550
534,538
535,574
535,559
535,536
536,535
536,557
536,537
537,536
538,534
538,511
538,551
539,507
539,506
539,544
539,543
539,542
539,541
539,540
540,539
540,569
541,539
541,569
542,539
542,550
543,539
543,565
543,561
543,545
544,539
544,566
544,561
544,545
545,544
545,543
545,509
546,507
546,506
546,559
546,558
546,554
546,553
547,555
547,548
548,547
548,532
548,505
548,568
548,552
548,551
548,549
549,548
549,501
550,542
550,534
550,511
550,551
551,550
551,548
551,538
551,511
551,505
552,548
552,555
553,546
553,555
554,546
554,555
555,554
555,553
555,552
555,547
556,532
556,504
556,563
557,536
557,563
557,558
558,557
558,546
558,562
559,546
559,535
560,561
561,560
561,544
561,543
561,510
562,558
562,563
563,562
563,557
563,556
564,532
564,504
564,4211
564,1482
564,1481
565,543
565,508
565,506
566,544
566,508
566,507
567,568
568,567
568,548
568,532
569,541
569,540
569,4458
569,570
570,569
570,533
570,522
570,501
570,4164
571,509
572,509
573,532
573,501
574,535
575,730
575,660
575,659
575,657
576,640
576,625
576,582
577,578
578,577
578,610
578,594
579,702
579,664
580,725
580,720
581,626
581,585
582,576
582,645
582,612
582,584
582,583
583,582
584,582
584,680
584,672
584,667
584,652
584,585
585,584
585,581
585,614
586,587
587,586
587,703
587,679
587,669
587,624
587,618
588,597
589,692
589,594
589,591
589,590
590,589
591,589
592,630
592,597
592,593
593,592
594,589
594,578
594,705
594,628
594,596
594,595
595,594
596,594
597,592
597,588
597,657
597,620
597,602
597,601
597,600
597,599
597,598
598,597
599,597
600,597
601,597
602,597
603,604
604,603
604,691
604,657
604,606
604,605
605,604
605,666
605,658
606,604
607,610
608,609
609,608
609,662
609,657
609,611
609,610
610,609
610,607
610,578
610,722
611,609
612,582
612,700
612,640
612,613
613,612
613,614
614,613
614,585
614,676
614,636
614,619
615,616
616,615
616,725
616,639
617,618
618,617
618,587
618,668
619,614
619,626
620,597
621,622
622,621
622,736
622,653
623,624
624,623
624,587
624,708
624,668
624,655
625,576
626,619
626,581
627,628
628,627
628,594
628,658
629,630
630,629
630,592
630,696
631,632
632,631
632,718
632,689
632,668
632,639
632,634
633,634
634,633
634,632
634,725
635,636
636,635
636,614
636,648
637,728
637,713
637,709
637,671
638,639
639,638
639,632
639,616
639,725
639,685
639,681
639,653
640,612
640,576
640,641
641,640
642,658
643,644
644,643
644,687
644,648
645,582
645,704
645,646
646,645
647,648
648,647
648,644
648,636
649,650
650,649
650,725
651,653
652,584
652,726
652,680
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653,652
653,651
653,639
653,622
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653,685
654,655
655,654
655,624
655,689
655,669
656,658
657,609
657,604
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657,575
657,696
657,658
658,657
658,656
658,642
658,628
658,605
658,738
658,712
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660,575
661,662
662,661
662,609
662,691
663,664
664,663
664,579
665,666
666,665
666,605
666,692
667,584
667,726
667,680
667,668
668,667
668,632
668,624
668,618
668,718
669,655
669,587
670,704
671,637
671,713
671,672
672,671
672,584
672,674
672,673
673,672
674,672
675,702
675,676
676,675
676,614
677,725
677,720
678,679
679,678
679,587
679,681
680,667
680,652
680,584
680,726
680,693
680,683
680,682
680,681
681,680
681,679
681,639
681,708
681,702
681,687
681,685
682,680
683,680
684,685
685,684
685,681
685,653
685,639
686,687
687,686
687,681
687,644
688,689
689,688
689,655
689,632
689,732
690,691
691,690
691,662
691,604
692,666
692,589
692,3769
692,738
692,726
692,694
693,680
694,692
694,726
694,695
695,694
696,657
696,630
696,697
697,696
698,728
698,699
699,698
700,612
700,702
701,702
702,701
702,700
702,681
702,675
702,579
702,734
703,587
704,670
704,645
704,713
705,594
706,709
706,707
707,706
708,681
708,624
709,706
709,637
709,710
710,709
711,712
712,711
712,658
712,722
713,704
713,671
713,637
713,714
714,713
715,716
716,715
716,720
717,718
718,717
718,668
718,632
719,720
720,719
720,716
720,677
720,580
720,727
720,725
721,722
722,721
722,712
722,610
722,723
723,722
724,725
725,724
725,720
725,677
725,653
725,650
725,639
725,634
725,616
725,580
725,726
726,725
726,694
726,692
726,680
726,667
726,652
726,3781
727,720
728,698
728,637
728,729
729,728
730,575
731,732
732,731
732,689
733,734
734,733
734,702
734,736
735,736
736,735
736,734
736,622
737,738
738,737
738,692
738,658
739,763
739,749
739,740
740,739
740,815
740,757
740,750
740,748
741,744
742,779
742,762
742,759
742,743
743,742
743,804
743,777
743,760
743,745
743,744
744,743
744,741
744,1230
744,815
744,802
744,746
745,743
746,744
747,780
748,740
748,805
748,775
748,751
748,750
749,739
749,805
749,752
750,748
750,740
750,776
750,757
750,753
751,748
752,749
752,2413
753,750
753,2414
754,803
754,783
754,764
755,757
756,787
756,757
757,756
757,755
757,750
757,740
757,791
757,758
758,757
758,824
758,823
758,813
758,812
759,742
759,778
759,762
759,760
760,759
760,743
760,814
761,762
762,761
762,759
762,742
762,789
762,780
762,778
763,739
763,815
763,814
763,777
764,754
764,820
764,774
765,766
766,765
766,803
767,771
768,772
769,772
770,797
770,785
770,771
771,770
771,767
771,786
771,773
771,772
772,771
772,769
772,768
772,824
772,823
773,771
774,764
774,817
774,781
775,748
776,750
776,4928
776,786
777,763
777,743
777,2417
778,762
778,759
778,814
779,742
779,795
779,789
780,762
780,747
780,803
780,799
780,789
780,784
780,783
780,781
781,780
781,774
782,4934
782,803
783,780
783,754
783,800
783,791
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785,770
785,786
786,785
786,776
786,771
787,756
787,803
787,791
788,789
789,788
789,780
789,779
789,762
790,2417
790,2304
791,787
791,783
791,757
791,803
792,793
793,792
793,1214
793,811
793,794
794,793
794,804
795,779
795,808
795,804
795,796
796,795
797,770
798,799
799,798
799,780
800,783
800,1257
800,1230
800,801
801,800
802,744
802,2207
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803,787
803,782
803,780
803,766
803,754
803,821
803,807
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804,794
804,743
804,1402
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805,748
806,807
807,806
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809,822
810,811
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812,758
812,1227
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813,1228
814,778
814,763
814,760
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816,815
817,774
817,818
818,817
818,819
819,818
819,4940
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820,819
820,764
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822,1124
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825,844
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830,4444
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831,905
831,904
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831,869
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831,867
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832,831
832,521
833,891
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833,834
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838,853
838,839
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840,839
840,2351
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843,861
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846,844
846,912
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847,846
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850,898
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853,838
853,837
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854,861
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854,855
855,854
855,849
855,831
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855,856
856,855
856,4458
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857,882
858,827
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859,883
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860,859
860,855
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861,843
862,843
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863,843
864,859
864,854
864,921
864,883
865,852
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866,833
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869,899
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870,846
871,837
871,928
871,885
872,837
872,929
873,852
873,930
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875,881
875,878
875,876
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876,894
877,845
877,827
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878,892
879,848
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880,900
881,875
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883,864
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884,846
885,874
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885,928
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887,848
888,848
889,848
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891,881
891,854
891,833
892,878
892,835
892,896
893,875
893,857
893,894
894,893
894,876
894,846
895,876
895,869
895,831
895,897
895,896
896,895
896,892
896,835
897,895
897,874
898,850
899,869
899,930
900,880
900,852
900,846
901,874
901,928
902,890
902,857
902,852
902,931
902,929
902,928
903,845
903,831
904,831
905,831
906,831
907,849
908,849
909,849
910,831
911,847
912,846
912,918
912,917
913,917
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915,918
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919,831
920,831
921,864
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924,927
925,927
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927,925
927,924
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928,902
928,901
928,885
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930,899
930,878
930,873
931,902
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933,1053
933,1014
934,969
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934,935
935,934
935,969
936,934
936,941
937,1050
937,1010
937,954
937,938
938,937
939,984
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940,939
940,1051
940,1036
940,1016
941,936
941,1014
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942,959
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949,1043
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950,948
950,1034
950,970
950,951
951,950
951,949
951,1000
951,978
951,971
952,1056
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952,1023
952,975
952,953
953,952
953,1052
953,1030
953,1011
953,983
954,937
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954,973
955,983
956,939
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956,1015
956,957
957,956
958,1049
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959,958
959,942
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963,1030
963,1013
963,991
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966,997
967,1026
967,968
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969,935
969,934
969,1021
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970,950
970,996
970,971
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975,1010
976,1048
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978,951
978,1005
979,68
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980,979
980,4855
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984,939
984,1050
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986,1044
986,1012
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987,960
987,989
987,988
988,987
989,987
989,80
989,997
990,994
991,963
991,1054
991,1011
992,977
992,1047
992,998
992,993
993,992
993,962
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993,1049
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994,941
994,999
995,969
995,944
995,1028
996,970
996,1001
997,989
997,966
997,184
997,1057
997,1006
998,992
998,1034
999,994
1000,951
1000,1026
1001,996
1001,1002
1002,1001
1002,1005
1003,943
1003,1045
1004,1028
1004,1021
1005,1002
1005,978
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1005,1049
1005,1037
1005,1026
1005,1014
1005,1009
1005,1008
1005,1007
1005,1006
1006,1005
1006,997
1006,968
1006,959
1006,945
1006,1057
1007,1005
1008,1005
1009,1005
1010,986
1010,975
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1010,1056
1010,1011
1011,1010
1011,991
1011,953
1012,986
1012,1044
1012,1013
1013,1012
1013,963
1014,1005
1014,941
1014,933
1015,981
1015,956
1015,1016
1016,1015
1016,940
1016,1017
1017,1016
1018,1022
1018,1019
1019,1018
1019,1050
1019,1046
1019,1031
1020,1021
1021,1020
1021,1004
1021,973
1021,969
1021,965
1022,1018
1022,1059
1022,1050
1022,1046
1023,974
1023,952
1023,1059
1023,1050
1024,974
1024,952
1024,1059
1024,1050
1025,964
1025,1026
1026,1025
1026,1005
1026,1000
1026,971
1026,967
1026,1045
1026,1043
1026,1027
1027,1026
1028,1004
1028,995
1028,944
1028,943
1029,1030
1030,1029
1030,963
1030,953
1030,105
1030,69
1030,4894
1030,1040
1030,1039
1030,1038
1030,1033
1031,1019
1031,974
1031,1046
1031,1032
1032,1031
1032,1052
1033,1030
1033,4902
1034,998
1034,976
1034,950
1034,1035
1035,1034
1035,1049
1036,979
1036,940
1037,1005
1037,971
1038,1030
1039,1030
1040,1030
1041,1056
1041,1044
1041,1042
1042,1041
1043,1026
1043,949
1044,1041
1044,1012
1044,986
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1045,1003
1046,1031
1046,1022
1046,1019
1046,1059
1047,992
1047,977
1047,948
1048,976
1048,948
1049,1035
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1049,993
1049,958
1050,1024
1050,1023
1050,1022
1050,1019
1050,984
1050,956
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1050,937
1050,1052
1050,1051
1051,1050
1051,940
1052,1050
1052,1032
1052,953
1052,69
1052,1058
1053,933
1054,991
1054,975
1055,981
1055,961
1055,105
1056,1041
1056,1010
1056,952
1057,1006
1057,997
1057,968
1058,1052
1058,945
1059,1046
1059,1024
1059,1023
1059,1022
1060,2035
1060,2002
1060,1542
1060,1062
1060,1061
1061,1060
1061,1444
1062,1060
1062,1444
1063,1809
1063,1625
1063,1331
1063,1160
1063,1065
1064,1176
1065,1063
1065,1119
1065,1091
1066,2069
1066,1901
1066,1852
1067,1969
1067,1418
1067,1068
1068,1067
1068,1419
1069,1566
1069,1498
1069,1497
1069,1300
1069,1197
1069,1196
1069,1070
1070,1069
1070,1371
1070,1269
1071,2028
1071,1615
1071,1553
1072,1554
1072,1469
1072,1314
1072,1280
1072,1208
1072,1191
1072,1073
1073,1072
1073,1313
1073,1192
1074,1506
1074,1159
1074,1076
1075,1905
1075,1217
1075,1076
1076,1075
1076,1074
1077,1224
1078,1459
1078,1313
1078,1306
1078,1244
1078,1079
1079,1078
1080,1559
1080,1334
1081,1942
1081,1560
1081,1154
1082,1750
1082,1728
1082,1510
1082,1224
1083,1503
1083,1446
1083,1295
1084,1224
1084,1098
1085,1478
1085,1420
1085,1367
1085,1351
1085,1087
1085,1086
1086,1085
1086,1097
1086,1091
1086,1088
1087,1085
1087,1624
1087,1223
1087,1220
1087,1090
1087,1088
1088,1087
1088,1086
1088,1401
1088,1091
1089,1556
1089,1446
1089,1311
1090,1087
1090,2017
1090,1959
1090,1630
1090,1496
1090,1165
1090,1108
1090,1091
1091,1090
1091,1088
1091,1086
1091,1065
1091,1525
1091,1504
1091,1429
1091,1353
1091,1166
1091,1092
1092,1091
1092,1488
1093,2135
1093,2096
1093,1095
1093,1094
1094,1093
1094,1447
1094,1177
1095,1093
1095,2159
1095,2091
1095,2071
1095,1446
1095,1386
1096,2109
1096,1285
1096,1097
1097,1096
1097,1086
1097,1379
1097,1343
1098,1084
1098,1914
1098,1731
1098,1713
1098,1677
1098,1490
1098,1193
1098,1099
1099,1098
1099,1334
1100,2179
1100,2176
1100,2062
1100,1530
1100,1276
1100,1101
1101,1100
1101,2139
1101,1277
1102,1573
1102,1422
1102,1338
1102,1226
1102,1103
1103,1102
1103,1442
1103,1143
1104,2121
1104,2061
1104,1753
1104,1717
1104,1556
1104,1460
1105,1948
1105,1666
1105,1179
1105,1145
1105,1106
1106,1105
1106,1877
1106,1810
1106,1323
1106,1317
1106,1249
1106,1180
1106,1143
1106,1136
1106,1107
1107,1106
1107,1365
1107,1267
1107,1137
1108,1090
1108,1496
1108,1240
1109,1495
1109,1471
1109,1210
1110,1111
1111,1110
1111,1459
1112,1581
1112,1579
1113,1116
1114,1932
1114,1837
1115,1969
1115,1603
1115,1543
1116,1113
1116,1552
1116,1499
1116,1454
1116,1453
1117,2195
1117,1584
1117,1463
1117,1461
1117,1436
1117,1189
1118,1825
1118,1119
1119,1118
1119,1065
1119,317
1119,4437
1119,1429
1119,1176
1120,1956
1120,1825
1121,1122
1122,1121
1122,1275
1122,1163
1123,1459
1123,1313
1123,1243
1124,822
1124,811
1124,2021
1124,1576
1125,427
1125,1476
1126,1128
1126,1127
1127,1126
1127,1863
1128,1126
1128,1401
1128,1353
1129,1226
1129,1187
1130,1942
1130,1830
1131,2557
1131,1330
1131,1308
1131,1243
1132,1605
1132,1493
1132,1135
1133,1609
1133,1323
1133,1242
1134,1610
1134,1531
1134,1416
1135,1132
1135,1534
1135,1451
1136,1106
1136,1139
1136,1138
1136,1137
1137,1136
1137,1107
1138,1136
1139,1136
1140,1620
1140,1619
1140,1486
1140,1458
1140,1361
1140,1345
1140,1332
1140,1301
1141,1142
1142,1141
1142,1874
1142,1474
1143,1106
1143,1103
1143,1622
1143,1434
1144,1222
1145,1105
1145,1955
1145,1491
1146,1148
1147,2064
1147,2063
1147,1207
1147,1166
1147,1148
1148,1147
1148,1146
1148,1452
1148,1340
1148,1167
1149,1696
1149,1150
1150,1149
1150,1283
1150,1275
1151,1530
1151,1489
1151,1473
1151,1356
1151,1335
1152,1484
1152,1357
1152,1170
1153,1730
1153,1405
1154,1081
1154,1197
1155,1971
1155,1774
1155,1156
1156,1155
1156,1260
1156,1221
1156,1161
1157,1749
1157,1736
1157,1326
1158,1905
1158,1770
1158,1684
1158,1505
1158,1159
1159,1158
1159,1074
1159,1506
1159,1416
1159,1322
1159,1170
1159,1166
1160,1063
1160,2092
1160,1956
1161,1156
1161,1501
1161,1260
1162,1641
1162,1517
1162,1241
1162,1163
1163,1162
1163,1122
1163,1299
1164,2189
1164,2184
1164,1865
1164,1435
1165,1090
1165,2015
1165,1853
1165,1777
1165,1166
1166,1165
1166,1159
1166,1147
1166,1091
1166,1646
1166,1525
1166,1438
1166,1413
1166,1168
1166,1167
1167,1166
1167,1148
1167,1541
1167,1244
1168,1166
1169,1403
1169,1170
1170,1169
1170,1159
1170,1152
1170,1531
1170,1486
1170,1484
1170,1309
1170,1201
1170,1175
1170,1171
1171,1170
1171,1403
1172,2180
1173,1649
1173,1531
1173,1487
1173,1486
1173,1484
1173,1468
1174,1518
1174,1184
1175,1170
1175,1467
1175,1201
1176,1119
1176,1064
1176,1504
1177,1094
1177,1387
1177,1265
1177,1178
1178,1177
1178,285
1178,1340
1179,1105
1180,1106
1181,2164
1181,1735
1182,1398
1182,1190
1183,488
1183,1467
1184,1174
1184,2447
1185,1442
1186,2075
1186,2050
1186,1949
1187,1129
1187,1469
1188,1189
1189,1188
1189,1117
1189,1234
1190,1182
1190,1845
1190,1191
1191,1190
1191,1072
1191,1407
1191,1246
1191,1192
1192,1191
1192,1073
1192,1330
1193,1098
1193,1528
1194,1678
1194,1195
1195,1194
1195,1521
1195,1452
1195,1416
1196,1069
1196,1197
1197,1196
1197,1154
1197,1069
1198,1512
1198,1349
1199,1891
1199,1348
1199,1200
1200,1199
1200,1892
1201,1175
1201,1170
1201,488
1201,1309
1202,1204
1202,1203
1203,1202
1203,1364
1204,1202
1204,1488
1204,1253
1205,2086
1205,1449
1205,1290
1206,2037
1206,1989
1206,1866
1206,1705
1206,1359
1206,1207
1207,1206
1207,1147
1208,1072
1208,1794
1208,1441
1209,1679
1209,1467
1209,1309
1210,1109
1210,2076
1210,1536
1210,1211
1211,1210
1212,1770
1212,1213
1213,1212
1213,1346
1214,793
1214,1774
1215,1216
1216,1215
1216,411
1216,1512
1217,1075
1217,1425
1218,1687
1218,1450
1218,1385
1218,1247
1219,1912
1219,1767
1219,1689
1219,1417
1219,1407
1220,1087
1220,1251
1221,1156
1221,1292
1222,1144
1222,1254
1223,1087
1223,1524
1224,1084
1224,1082
1224,1077
1224,2194
1224,1799
1224,1746
1224,1727
1224,1647
1224,1594
1224,1432
1224,1262
1224,1225
1225,1224
1225,1326
1226,1129
1226,1102
1226,1709
1227,812
1227,1231
1228,813
1228,1231
1229,1524
1229,1478
1229,1254
1230,800
1230,744
1230,1402
1230,1231
1231,1230
1231,1228
1231,1227
1231,1488
1232,1246
1232,1239
1233,1234
1234,1233
1234,1189
1234,1461
1235,1902
1235,1723
1235,1577
1235,1236
1236,1235
1236,1237
1237,1236
1237,1810
1237,1334
1238,1532
1238,1239
1239,1238
1239,1232
1239,1483
1239,1329
1240,1108
1241,1162
1241,1355
1242,1133
1242,1995
1242,1726
1242,1725
1242,1291
1243,1131
1243,1123
1243,1423
1243,1383
1243,1308
1243,1267
1244,1167
1244,1078
1244,1507
1244,1365
1244,1306
1244,1267
1245,1678
1245,1505
1246,1232
1246,1191
1247,1218
1247,1384
1248,412
1248,1913
1249,1106
1249,1256
1250,1501
1250,1289
1251,1220
1251,1420
1251,1389
1252,1349
1252,1343
1252,1297
1252,1253
1253,1252
1253,1204
1253,1304
1254,1229
1254,1222
1255,1798
1255,1762
1255,1570
1256,1249
1256,1763
1256,1326
1257,800
1257,1992
1257,1402
1257,1353
1257,1292
1257,1258
1258,1257
1258,1488
1259,1260
1260,1259
1260,1161
1260,1156
1261,1263
1262,1224
1263,1261
1263,1432
1264,1799
1265,1177
1266,1267
1267,1266
1267,1244
1267,1243
1267,1107
1267,1459
1267,1313
1268,2182
1268,1776
1268,1472
1268,1410
1268,1269
1269,1268
1269,1070
1269,1373
1270,1271
1271,1270
1271,1634
1272,1928
1272,1626
1272,1586
1272,1569
1272,1274
1272,1273
1273,1272
1273,1361
1274,1272
1274,1450
1275,1150
1275,1122
1275,1307
1276,1100
1276,1489
1276,1466
1276,1352
1276,1278
1276,1277
1277,1276
1277,1101
1277,2203
1278,1276
1278,2120
1278,1489
1278,1435
1278,1279
1279,1278
1279,1463
1279,1309
1280,1072
1280,1786
1280,1523
1280,1281
1281,1280
1281,1313
1282,1701
1282,1283
1283,1282
1283,1150
1283,1377
1284,1835
1284,1684
1284,1526
1284,1474
1285,1096
1285,2141
1286,1800
1286,1535
1286,1300
1287,1289
1288,1801
1288,1289
1289,1288
1289,1287
1289,1250
1289,1934
1289,1353
1290,1205
1290,1409
1291,1242
1291,1994
1291,1803
1292,1257
1292,1221
1293,1294
1294,1293
1294,1306
1294,1304
1295,1083
1296,1629
1296,1426
1296,1350
1296,1297
1297,1296
1297,1252
1297,435
1298,2158
1298,1805
1298,1562
1298,1532
1298,1302
1298,1299
1299,1298
1299,1163
1299,1805
1299,1329
1300,1286
1300,1069
1300,1807
1300,1301
1301,1300
1301,1140
1302,1298
1302,1398
1303,1304
1304,1303
1304,1294
1304,1253
1305,1306
1306,1305
1306,1294
1306,1244
1306,1078
1306,1433
1307,1275
1307,2060
1307,1812
1307,1308
1308,1307
1308,1243
1308,1131
1308,2594
1308,1476
1309,1279
1309,1209
1309,1201
1309,1170
1309,2185
1309,2139
1309,2138
1309,1814
1309,1436
1309,1316
1309,1310
1310,1309
1310,1540
1311,1089
1311,2192
1311,2191
1311,2036
1311,1446
1311,1312
1312,1311
1312,1447
1313,1281
1313,1267
1313,1123
1313,1078
1313,1073
1313,1443
1313,1373
1314,1072
1314,1912
1314,1315
1315,1314
1315,1816
1316,1309
1316,1817
1316,1467
1317,1106
1317,1819
1317,1406
1318,1319
1319,1318
1319,1458
1319,1332
1320,1527
1320,1440
1321,2156
1321,1522
1321,1505
1321,1412
1322,1159
1322,1416
1323,1133
1323,1106
1323,2098
1323,2097
1323,1374
1323,1338
1323,1324
1324,1323
1324,1365
1325,1881
1325,1822
1325,1326
1326,1325
1326,1256
1326,1225
1326,1157
1326,1821
1326,1580
1326,1579
1326,1424
1326,1328
1326,1327
1327,1326
1327,1459
1327,1433
1328,1326
1329,1299
1329,1239
1329,1483
1329,1330
1330,1329
1330,1192
1330,1131
1331,1063
1331,1634
1332,1319
1332,1140
1332,1345
1333,2016
1333,1677
1333,1631
1333,1346
1333,1334
1334,1333
1334,1237
1334,1099
1334,1080
1334,1515
1334,1506
1334,1502
1334,1438
1334,1396
1334,1391
1334,1369
1335,1151
1335,1558
1335,1356
1336,1337
1337,1336
1337,1997
1337,1663
1338,1323
1338,1102
1338,1831
1339,1462
1339,1341
1339,1340
1340,1339
1340,1178
1340,1148
1340,1540
1341,1339
1341,1448
1342,1860
1342,1508
1342,1427
1342,1364
1342,1343
1343,1342
1343,1252
1343,1097
1344,1345
1345,1344
1345,1332
1345,1140
1345,2180
1346,1333
1346,1213
1346,1761
1347,1842
1347,1461
1347,1447
1348,1199
1348,1629
1348,1449
1348,1426
1348,1349
1349,1348
1349,1252
1349,1198
1350,1296
1350,1364
1351,1085
1351,2017
1352,1276
1352,2189
1352,1466
1352,1435
1353,1289
1353,1257
1353,1128
1353,1091
1353,1859
1353,1379
1353,1354
1354,1353
1355,1241
1355,1562
1356,1335
1356,1151
1356,2120
1356,2007
1356,1558
1356,1530
1356,1489
1356,1357
1357,1356
1357,1152
1357,2139
1358,1765
1358,1735
1359,1206
1359,2044
1359,1867
1359,1719
1360,1950
1360,1929
1360,1775
1360,1363
1360,1361
1361,1360
1361,1273
1361,1140
1361,1864
1361,1487
1361,1450
1361,1444
1361,1362
1362,1361
1362,1371
1363,1360
1363,1919
1363,1471
1364,1350
1364,1342
1364,1203
1365,1324
1365,1244
1365,1107
1365,1500
1365,1373
1366,1516
1366,1490
1367,1085
1367,1624
1367,1400
1367,1388
1368,1975
1368,1903
1368,1369
1369,1368
1369,1334
1369,1552
1370,1495
1370,1371
1371,1370
1371,1362
1371,1070
1371,1539
1371,1538
1371,1445
1371,1403
1372,1451
1372,1374
1372,1373
1373,1372
1373,1365
1373,1313
1373,1269
1374,1372
1374,1323
1374,1451
1375,1376
1376,1375
1376,1422
1377,1283
1377,1406
1377,1382
1378,2104
1378,2021
1378,1593
1378,1400
1378,1379
1379,1378
1379,1353
1379,1097
1380,1893
1380,1506
1380,1502
1381,1397
1381,1382
1382,1381
1382,1377
1382,1383
1383,1382
1383,1243
1383,1476
1384,1247
1384,1895
1385,1218
1385,1895
1386,1095
1386,2159
1386,2096
1386,1387
1387,1386
1387,1177
1388,1367
1388,1399
1389,1251
1389,1632
1389,1478
1390,1439
1390,1425
1390,1391
1391,1390
1391,1334
1391,1413
1392,1426
1393,1404
1393,1397
1394,1515
1395,1396
1396,1395
1396,1334
1397,1393
1397,1381
1398,1302
1398,1182
1399,1388
1399,1400
1400,1399
1400,1378
1400,1367
1400,1852
1400,1401
1401,1400
1401,1128
1401,1088
1402,1257
1402,1230
1402,804
1403,1371
1403,1171
1403,1169
1403,1541
1403,1540
1403,1485
1404,1393
1405,1153
1405,1406
1406,1405
1406,1377
1406,1317
1406,1422
1407,1219
1407,1191
1408,1983
1408,1980
1408,1798
1409,1290
1409,1470
1410,1268
1410,2113
1410,1498
1410,1419
1411,1412
1412,1411
1412,1321
1412,1505
1413,1391
1413,1166
1413,2193
1414,1416
1415,1874
1415,1844
1415,1522
1415,1416
1416,1415
1416,1414
1416,1322
1416,1195
1416,1159
1416,1134
1416,1920
1417,1219
1417,1921
1418,1067
1418,1828
1418,1455
1418,1419
1419,1418
1419,1410
1419,1068
1419,1963
1419,1923
1419,1535
1419,1454
1419,1453
1420,1251
1420,1085
1421,1422
1422,1421
1422,1406
1422,1376
1422,1102
1422,1423
1423,1422
1423,1243
1424,1326
1424,422
1424,1924
1425,1390
1425,1217
1425,2016
1426,1392
1426,1348
1426,1296
1427,1342
1427,1449
1428,2069
1428,1429
1429,1428
1429,1119
1429,1091
1430,1974
1430,1432
1430,1431
1431,1430
1431,1433
1432,1430
1432,1263
1432,1224
1433,1431
1433,1327
1433,1306
1434,1143
1434,1930
1435,1352
1435,1278
1435,1164
1435,2184
1435,1436
1436,1435
1436,1309
1436,1117
1436,1462
1437,1935
1437,1783
1438,1334
1438,1166
1438,1811
1439,1390
1439,1884
1439,1526
1439,1516
1439,1440
1440,1439
1440,1320
1440,1811
1441,1208
1441,1794
1441,1442
1442,1441
1442,1185
1442,1103
1442,1987
1442,1548
1442,1537
1442,1443
1443,1442
1443,1313
1444,1361
1444,1062
1444,1061
1444,1445
1445,1444
1445,1371
1446,1311
1446,1095
1446,1089
1446,1083
1446,2077
1446,1447
1447,1446
1447,1347
1447,1312
1447,1094
1447,2195
1448,1341
1448,1461
1449,1427
1449,1348
1449,1205
1450,1361
1450,1274
1450,1218
1451,1374
1451,1372
1451,1135
1451,2119
1451,2118
1451,1472
1452,1195
1452,1148
1452,1541
1453,1419
1453,1116
1453,1456
1454,1419
1454,1116
1454,1457
1455,1418
1455,1598
1455,1457
1455,1456
1456,1455
1456,1453
1457,1455
1457,1454
1458,1319
1458,1140
1458,1952
1459,1327
1459,1267
1459,1123
1459,1111
1459,1078
1460,1104
1460,2144
1460,2123
1460,2108
1460,2105
1460,2095
1460,2081
1460,2074
1460,2072
1460,1461
1461,1460
1461,1448
1461,1347
1461,1234
1461,1117
1461,2125
1461,2124
1462,1436
1462,1339
1462,1463
1463,1462
1463,1279
1463,1117
1463,1953
1464,1466
1465,1466
1466,1465
1466,1464
1466,1352
1466,1276
1466,1908
1467,1316
1467,1209
1467,1183
1467,1175
1467,2138
1468,1173
1468,2188
1468,1954
1468,1748
1468,1484
1469,1187
1469,1072
1470,1409
1470,2112
1471,1363
1471,1109
1471,2188
1471,2173
1472,1451
1472,1268
1472,2129
1472,2128
1472,1497
1473,1151
1473,2131
1473,1530
1474,1284
1474,1142
1474,2042
1474,1475
1475,1474
1476,1383
1476,1308
1476,1125
1477,1478
1478,1477
1478,1389
1478,1229
1478,1085
1478,2086
1478,2050
1479,1480
1480,1479
1480,1535
1481,564
1482,564
1483,1329
1483,1239
1484,1468
1484,1173
1484,1170
1484,1152
1484,2157
1484,1485
1485,1484
1485,1403
1486,1173
1486,1170
1486,1140
1487,1361
1487,1173
1487,1531
1488,1258
1488,1231
1488,1204
1488,1092
1489,1356
1489,1278
1489,1276
1489,1151
1489,2179
1489,2139
1489,2138
1489,2120
1490,1366
1490,1098
1491,1145
1491,1984
1491,1760
1491,1621
1492,1986
1492,1710
1492,1565
1492,1493
1493,1492
1493,1132
1494,1988
1494,1537
1494,1523
1495,1370
1495,1109
1495,1919
1496,1108
1496,1090
1496,2010
1497,1472
1497,1069
1498,1410
1498,1069
1499,1116
1499,1995
1499,1994
1499,1877
1499,1500
1500,1499
1500,1365
1501,1250
1501,1161
1502,1380
1502,1334
1502,1999
1503,1083
1504,1176
1504,1091
1505,1412
1505,1321
1505,1245
1505,1158
1506,1380
1506,1334
1506,1159
1506,1074
1506,2202
1506,1818
1506,1514
1506,1512
1506,1507
1507,1506
1507,1244
1507,1541
1508,1342
1508,1876
1509,1510
1510,1509
1510,1082
1510,1980
1511,2019
1511,1891
1511,1594
1512,1506
1512,1216
1512,1198
1512,2020
1512,1513
1513,1512
1513,2022
1513,1736
1514,1506
1515,1394
1515,1334
1515,1818
1516,1439
1516,1366
1516,2027
1516,1925
1517,1162
1517,1518
1518,1517
1518,1174
1519,1521
1520,1588
1520,1521
1521,1520
1521,1519
1521,1195
1522,1415
1522,1321
1522,1844
1523,1494
1523,1280
1523,2031
1523,1979
1524,1229
1524,1223
1524,1949
1524,1632
1524,1525
1525,1524
1525,1166
1525,1091
1526,1439
1526,1284
1526,1926
1527,1320
1527,2193
1528,1193
1528,2126
1528,1762
1528,1695
1528,1694
1528,1529
1529,1528
1529,1559
1530,1473
1530,1356
1530,1151
1530,1100
1530,2173
1530,2076
1530,1536
1530,1533
1530,1531
1531,1530
1531,1487
1531,1173
1531,1170
1531,1134
1532,1298
1532,1238
1532,2158
1533,1530
1534,1135
1535,1480
1535,1419
1535,1286
1536,1530
1536,1210
1536,2176
1537,1494
1537,1442
1538,1371
1539,1371
1540,1403
1540,1340
1540,1310
1541,1507
1541,1452
1541,1403
1541,1167
1542,1060
1542,1938
1542,1644
1543,1115
1543,1611
1544,1832
1544,1547
1545,2040
1545,1575
1546,1888
1546,1553
1547,1544
1547,1744
1547,1733
1547,1708
1547,1638
1547,1595
1547,1548
1548,1547
1548,1442
1549,2110
1549,1782
1550,1931
1550,1622
1551,1993
1551,1779
1552,1369
1552,1116
1553,1546
1553,1071
1554,1072
1554,2142
1554,1957
1554,1890
1554,1839
1554,1740
1554,1720
1554,1670
1554,1653
1555,1841
1555,1561
1556,1104
1556,1089
1557,1846
1557,1712
1558,1356
1558,1335
1559,1529
1559,1080
1560,1081
1560,1781
1561,1555
1561,1819
1562,1355
1562,1298
1562,2158
1563,1857
1563,1787
1563,1689
1564,1950
1564,1569
1565,1492
1565,1745
1566,1069
1566,1568
1566,1567
1567,1566
1568,1566
1569,1564
1569,1272
1570,1255
1570,1618
1571,1881
1571,1728
1572,1740
1572,1685
1573,1102
1573,2053
1573,1574
1574,1573
1574,2115
1574,2099
1575,1545
1575,1946
1575,1685
1576,1124
1576,1593
1577,1235
1577,1631
1578,1985
1578,1645
1579,1326
1579,1112
1579,1657
1580,1326
1580,1987
1581,1112
1581,1582
1582,1581
1582,1764
1583,2087
1583,1918
1583,1691
1584,1117
1584,2012
1584,2000
1584,1951
1584,1856
1584,1855
1584,1599
1585,1745
1585,1721
1586,1272
1586,1928
1586,1702
1587,1867
1587,1588
1588,1587
1588,1520
1589,2150
1589,2000
1589,1679
1589,1599
1590,1854
1590,1716
1591,1930
1591,1622
1592,2048
1592,1701
1593,1576
1593,1378
1594,1511
1594,1224
1595,1547
1596,2038
1596,1960
1597,1598
1598,1597
1598,1455
1598,1686
1599,1589
1599,1584
1599,2012
1600,2098
1600,2097
1600,1922
1600,1601
1601,1600
1601,1972
1601,1838
1602,2151
1602,2130
1602,2001
1603,1115
1603,1686
1604,1823
1604,1773
1604,1648
1605,1132
1605,2043
1605,1820
1605,1699
1606,1645
1607,1773
1607,1674
1608,1998
1608,1970
1609,1133
1609,2148
1609,2065
1609,1725
1610,1134
1611,1543
1611,1760
1612,1781
1612,1627
1612,1613
1613,1612
1613,1847
1614,2157
1614,1954
1614,1654
1615,1071
1615,1659
1616,2002
1616,1834
1617,1700
1617,1620
1618,1570
1618,1902
1619,1140
1619,1882
1620,1617
1620,1140
1620,1700
1621,1491
1621,1948
1622,1591
1622,1550
1622,1143
1622,1692
1622,1623
1623,1622
1623,2115
1623,2099
1623,2014
1623,1662
1624,1367
1624,1087
1625,1063
1625,2004
1626,1272
1626,2003
1627,1612
1627,1664
1628,1809
1628,1663
1629,1348
1629,1296
1630,1090
1630,1729
1631,1577
1631,1333
1632,1524
1632,1389
1633,1964
1633,1848
1633,1813
1634,1331
1634,1271
1635,1703
1635,1667
1636,1824
1636,1738
1637,1738
1638,1547
1638,1930
1639,2092
1639,1911
1640,1804
1640,1766
1641,1162
1642,1804
1642,1689
1643,2067
1643,1699
1644,1542
1644,2035
1644,1909
1644,1751
1645,1606
1645,1578
1646,1166
1646,1864
1647,1224
1647,1916
1648,1604
1648,1807
1649,1173
1649,2068
1649,1954
1649,1752
1650,2015
1650,1788
1651,1797
1651,1795
1652,1879
1652,1759
1653,1554
1653,2039
1653,2038
1653,1790
1653,1742
1654,1614
1654,1883
1654,1752
1655,1897
1656,1897
1657,1579
1658,1786
1658,1771
1659,1615
1659,1826
1660,1892
1660,1827
1661,1850
1661,1820
1661,1662
1662,1661
1662,1623
1662,2067
1662,1722
1663,1628
1663,1337
1664,1627
1664,2163
1665,1915
1665,1862
1666,1105
1666,1667
1667,1666
1667,1635
1668,1890
1668,1808
1669,1754
1669,1670
1670,1669
1670,1554
1670,1685
1671,2013
1671,1789
1672,1816
1673,1897
1673,1687
1674,1607
1674,1800
1675,1706
1676,1906
1676,1677
1677,1676
1677,1333
1677,1098
1678,1245
1678,1194
1679,1589
1679,1209
1680,1803
1680,1734
1681,2037
1681,1875
1682,1929
1682,1834
1683,1778
1684,1284
1684,1158
1685,1670
1685,1575
1685,1572
1685,1915
1685,1878
1685,1786
1686,1603
1686,1598
1687,1673
1687,1218
1687,2167
1687,1897
1687,1688
1688,1687
1689,1642
1689,1563
1689,1219
1689,1857
1689,1714
1690,2097
1690,1861
1690,1691
1691,1690
1691,1583
1691,1918
1692,1622
1692,1869
1693,1907
1693,1858
1694,1528
1694,1731
1695,1528
1695,1967
1696,1149
1696,1826
1697,2031
1698,1982
1698,1776
1699,1643
1699,1605
1699,1776
1700,1620
1700,1617
1701,1592
1701,1282
1702,1586
1702,2167
1702,2003
1703,1635
1703,1841
1703,1780
1704,1976
1704,1724
1705,1206
1705,1853
1706,1675
1706,2007
1707,2019
1707,1829
1708,1547
1708,1795
1709,1226
1709,2100
1709,1870
1709,1797
1710,1492
1710,1830
1711,1921
1711,1896
1712,1557
1712,1904
1713,1098
1713,2194
1713,1843
1714,1689
1714,1739
1715,2111
1715,1961
1716,1590
1716,1921
1716,1889
1717,1104
1717,2136
1718,1955
1719,1359
1719,1849
1720,1554
1721,1585
1721,1930
1721,1722
1722,1721
1722,1662
1723,1235
1723,1975
1724,1704
1724,1795
1725,1609
1725,1242
1725,2080
1725,1945
1726,1242
1726,1977
1726,1755
1727,1224
1727,1778
1728,1571
1728,1082
1729,1630
1729,1997
1730,1153
1730,1913
1731,1694
1731,1098
1732,2130
1732,2117
1732,2113
1733,1547
1733,2052
1734,1680
1734,2051
1734,1802
1734,1758
1735,1358
1735,1181
1736,1513
1736,1157
1737,1738
1738,1737
1738,1637
1738,1636
1739,1714
1739,1785
1740,1572
1740,1554
1741,2025
1741,1793
1741,1743
1742,1653
1742,2162
1742,1743
1743,1742
1743,1741
1744,1547
1744,1870
1745,1585
1745,1565
1746,1224
1747,2183
1747,2008
1747,1904
1747,1748
1748,1747
1748,1468
1749,1157
1749,1885
1749,1822
1750,1082
1751,1644
1752,1654
1752,1649
1752,2157
1753,1104
1753,1865
1754,1669
1754,1833
1754,1790
1755,1726
1755,2080
1755,1756
1756,1755
1756,2087
1757,1909
1757,1882
1757,1847
1758,1734
1758,1782
1759,1652
1759,1782
1760,1611
1760,1491
1760,2088
1760,1898
1761,1346
1761,1999
1762,1528
1762,1255
1763,1256
1763,1880
1764,1582
1765,1358
1765,2042
1766,1640
1766,1767
1767,1766
1767,1219
1768,1840
1769,2032
1769,1833
1770,1212
1770,1158
1771,1658
1771,1899
1772,2052
1772,1878
1773,1607
1773,1604
1774,1214
1774,1155
1775,1360
1775,1950
1776,1699
1776,1698
1776,1268
1776,1962
1776,1886
1776,1869
1777,1165
1777,1849
1778,1727
1778,1683
1779,1551
1779,1848
1780,1703
1780,1947
1781,1612
1781,1560
1782,1759
1782,1758
1782,1549
1782,2011
1783,1437
1783,1900
1784,422
1785,1739
1785,1910
1786,1685
1786,1658
1786,1280
1786,2041
1786,1907
1787,1563
1787,1896
1788,1650
1788,1959
1789,1671
1789,1816
1790,1754
1790,1653
1791,1793
1792,1793
1793,1792
1793,1791
1793,1741
1793,2025
1794,1441
1794,1208
1794,1796
1795,1724
1795,1708
1795,1651
1795,1976
1795,1796
1796,1795
1796,1794
1797,1709
1797,1651
1798,1408
1798,1255
1799,1264
1799,1224
1800,1674
1800,1286
1800,1807
1801,1288
1801,1996
1802,1734
1802,2001
1803,1680
1803,1291
1804,1642
1804,1640
1805,1299
1805,1298
1806,1847
1807,1800
1807,1648
1807,1300
1807,2163
1808,1668
1808,1839
1809,1628
1809,1063
1810,1237
1810,1106
1811,1440
1811,1438
1812,1307
1812,1851
1813,1633
1813,2011
1814,1309
1814,1920
1815,2031
1815,2023
1816,1789
1816,1672
1816,1315
1817,1316
1817,2150
1817,2149
1818,1515
1818,1506
1819,1561
1819,1317
1820,1661
1820,1605
1820,2043
1821,1326
1821,1923
1822,1749
1822,1325
1823,1604
1823,1964
1824,1636
1824,1914
1825,1120
1825,1118
1826,1696
1826,1659
1827,1660
1827,2046
1827,2020
1828,1418
1828,2006
1829,1707
1829,2034
1830,1710
1830,1130
1831,1338
1831,2155
1831,1838
1832,1544
1832,1930
1833,1769
1833,1754
1834,1682
1834,1616
1835,1284
1836,1952
1837,1114
1837,2049
1838,1831
1838,1601
1838,2099
1839,1808
1839,1554
1839,1840
1840,1839
1840,1768
1841,1703
1841,1555
1842,1347
1842,2122
1842,2079
1842,2070
1843,1713
1843,1981
1844,1522
1844,1415
1844,2156
1845,1190
1846,1557
1846,1883
1847,1806
1847,1757
1847,1613
1848,1779
1848,1633
1849,1777
1849,1719
1850,1661
1850,2119
1850,2118
1851,1812
1852,1400
1852,1066
1853,1705
1853,1165
1854,1590
1854,1889
1855,1584
1855,2000
1855,1951
1856,1584
1856,1951
1857,1689
1857,1563
1858,1693
1858,2023
1859,1353
1859,1992
1860,1342
1861,1690
1861,2098
1862,1665
1862,2039
1863,1127
1863,1933
1864,1646
1864,1361
1865,1753
1865,1164
1866,1206
1867,1587
1867,1359
1868,1999
1868,1917
1869,1776
1869,1692
1869,2106
1870,1744
1870,1709
1871,2067
1871,1873
1871,1872
1872,1871
1872,2129
1873,1871
1873,2128
1874,1415
1874,1142
1875,1681
1876,1508
1876,2141
1877,1499
1877,1106
1878,1772
1878,1685
1879,1652
1879,1993
1880,1763
1881,1571
1881,1325
1882,1757
1882,1619
1883,1846
1883,1654
1883,1954
1884,1439
1885,1749
1885,2047
1885,1924
1886,1776
1887,2157
1887,2145
1888,1546
1889,1854
1889,1716
1890,1668
1890,1554
1891,1511
1891,1199
1892,1660
1892,1200
1893,1380
1893,2030
1893,1917
1894,1936
1894,1895
1895,1894
1895,1385
1895,1384
1896,1787
1896,1711
1897,1687
1897,1673
1897,1656
1897,1655
1897,1950
1898,1760
1898,2088
1899,1771
1899,1960
1899,1958
1900,1783
1900,1901
1901,1900
1901,1066
1902,1618
1902,1235
1903,1368
1903,1990
1904,1747
1904,1712
1905,1158
1905,1075
1906,1676
1906,1941
1907,1786
1907,1693
1908,1466
1908,2062
1909,1757
1909,1644
1910,1785
1910,1978
1911,1639
1912,1314
1912,1219
1913,1730
1913,1248
1914,1824
1914,1098
1915,1685
1915,1665
1916,1647
1917,1893
1917,1868
1917,1999
1918,1691
1918,1583
1919,1495
1919,1363
1920,1814
1920,1416
1921,1716
1921,1711
1921,1417
1922,1600
1922,2151
1922,2119
1923,1821
1923,1419
1924,1885
1924,1424
1925,1516
1926,1526
1926,1940
1927,2080
1927,1977
1928,1586
1928,1272
1928,2177
1928,2003
1929,1682
1929,1360
1929,1938
1930,1832
1930,1721
1930,1638
1930,1591
1930,1434
1930,2196
1931,1550
1932,1114
1932,1944
1933,1863
1933,2116
1933,1944
1933,1935
1933,1934
1934,1933
1934,1289
1935,1933
1935,1437
1936,1894
1936,1937
1937,1936
1938,1929
1938,1542
1939,1940
1940,1939
1940,1926
1940,2027
1941,1906
1942,1130
1942,1081
1943,2030
1943,1999
1944,1933
1944,1932
1945,1725
1945,2148
1945,2114
1945,2098
1945,2089
1946,1575
1946,2033
1947,1780
1948,1621
1948,1105
1949,1524
1949,1186
1950,1897
1950,1775
1950,1564
1950,1360
1951,1856
1951,1855
1951,1584
1951,2012
1952,1836
1952,1458
1953,1463
1953,2187
1953,2186
1953,2143
1953,2140
1953,2137
1953,2056
1954,1883
1954,1649
1954,1614
1954,1468
1955,1718
1955,1145
1956,1160
1956,1120
1957,1554
1958,1899
1958,2038
1959,1788
1959,1090
1960,1899
1960,1596
1961,1715
1961,2117
1961,2029
1962,1776
1962,2029
1962,1964
1962,1963
1963,1962
1963,1419
1964,1962
1964,1823
1964,1633
1965,2034
1965,2019
1965,1966
1966,1965
1967,1695
1968,2126
1968,1983
1969,1115
1969,1067
1969,1970
1970,1969
1970,1608
1971,1155
1971,1991
1972,1601
1972,2133
1973,2010
1973,2009
1974,1430
1975,1723
1975,1368
1976,1795
1976,1704
1977,1927
1977,1726
1977,2051
1978,1910
1978,2175
1978,1979
1979,1978
1979,1523
1980,1510
1980,1408
1981,1843
1982,1698
1982,1986
1983,1968
1983,1408
1984,1491
1985,1578
1985,2161
1985,2078
1986,1982
1986,1492
1987,1580
1987,1442
1988,1494
1989,1206
1990,1903
1990,2026
1991,1971
1992,1859
1992,1257
1993,1879
1993,1551
1993,1995
1993,1994
1994,1993
1994,1499
1994,1291
1995,1993
1995,1499
1995,1242
1996,1801
1996,2049
1997,1729
1997,1337
1998,1608
1999,1943
1999,1917
1999,1868
1999,1761
1999,1502
1999,2026
2000,1855
2000,1589
2000,1584
2001,1802
2001,1602
2001,2114
2002,1616
2002,1060
2003,1928
2003,1702
2003,1626
2004,1625
2004,2075
2005,2010
2006,1828
2007,1706
2007,1356
2008,1747
2009,1973
2010,2005
2010,1973
2010,1496
2011,1813
2011,1782
2012,1951
2012,1599
2012,1584
2013,1671
2014,1623
2014,2127
2015,1650
2015,1165
2016,1425
2016,1333
2017,1351
2017,1090
2017,2018
2018,2017
2019,1965
2019,1707
2019,1511
2019,2020
2020,2019
2020,1827
2020,1512
2020,2047
2020,2046
2021,1378
2021,1124
2022,1513
2023,1858
2023,1815
2024,2025
2025,2024
2025,1793
2025,1741
2026,1999
2026,1990
2027,1940
2027,1516
2028,1071
2028,2060
2029,1962
2029,1961
2030,1943
2030,1893
2031,1815
2031,1697
2031,1523
2031,2175
2032,1769
2032,2041
2032,2033
2033,2032
2033,1946
2034,1965
2034,1829
2035,1644
2035,1060
2036,1311
2037,1681
2037,1206
2038,1958
2038,1653
2038,1596
2038,2078
2039,1862
2039,1653
2039,2040
2040,2039
2040,1545
2041,2032
2041,1786
2042,1765
2042,1474
2043,1820
2043,1605
2044,1359
2044,2045
2045,2044
2046,2020
2046,1827
2046,2047
2047,2046
2047,2020
2047,1885
2048,1592
2049,1996
2049,1837
2050,1478
2050,1186
2051,1977
2051,1734
2052,1772
2052,1733
2053,1573
2053,2196
2054,2151
2054,2119
2054,2089
2055,2107
2055,2081
2056,1953
2056,2084
2057,2060
2057,2059
2058,2106
2059,2057
2060,2057
2060,2028
2060,1307
2061,1104
2061,2107
2062,1908
2062,1100
2063,1147
2063,2124
2064,1147
2064,2125
2065,1609
2065,2097
2066,2187
2066,2186
2066,2140
2067,1871
2067,1662
2067,1643
2068,1649
2069,1428
2069,1066
2070,1842
2070,2101
2071,1095
2071,2166
2071,2165
2072,1460
2072,2073
2073,2072
2073,2108
2073,2101
2074,1460
2074,2101
2075,2004
2075,1186
2076,1530
2076,1210
2077,1446
2077,2191
2078,2038
2078,1985
2079,1842
2079,2095
2080,1927
2080,1755
2080,1725
2081,2055
2081,1460
2082,2137
2082,2085
2082,2083
2083,2082
2083,2094
2083,2084
2084,2083
2084,2056
2084,2085
2085,2084
2085,2082
2085,2143
2086,1478
2086,1205
2087,1756
2087,1583
2088,1898
2088,1760
2089,2054
2089,1945
2089,2129
2090,2144
2090,2134
2091,1095
2091,2190
2092,1639
2092,1160
2093,2142
2094,2083
2094,2107
2095,2079
2095,1460
2096,1386
2096,1093
2096,2190
2096,2135
2097,2065
2097,1690
2097,1600
2097,1323
2098,1945
2098,1861
2098,1600
2098,1323
2099,1838
2099,1623
2099,1574
2100,1709
2101,2074
2101,2073
2101,2070
2101,2122
2102,2155
2102,2146
2102,2127
2103,2157
2103,2145
2104,1378
2104,2109
2105,1460
2105,2107
2106,2058
2106,1869
2106,2154
2107,2105
2107,2094
2107,2061
2107,2055
2108,2073
2108,1460
2109,2104
2109,1096
2110,1549
2110,2113
2111,1715
2111,2163
2112,1470
2112,2164
2113,2110
2113,1732
2113,1410
2114,2001
2114,1945
2114,2151
2115,1623
2115,1574
2116,1933
2117,1961
2117,1732
2118,1850
2118,1451
2118,2151
2119,2054
2119,1922
2119,1850
2119,1451
2120,1489
2120,1356
2120,1278
2121,1104
2121,2137
2122,2101
2122,1842
2123,1460
2123,2134
2124,2063
2124,1461
2125,2064
2125,1461
2126,1968
2126,1528
2127,2102
2127,2014
2128,1873
2128,1472
2128,2153
2129,2089
2129,1872
2129,1472
2130,1732
2130,1602
2130,2153
2131,1473
2131,2145
2132,2145
2133,1972
2133,2154
2133,2146
2134,2123
2134,2090
2135,2096
2135,1093
2136,1717
2136,2156
2137,2121
2137,2082
2137,1953
2137,2140
2138,1489
2138,1467
2138,1309
2139,1489
2139,1357
2139,1309
2139,1101
2140,2137
2140,2066
2140,1953
2141,1876
2141,1285
2142,2093
2142,1554
2143,2085
2143,1953
2144,2090
2144,1460
2145,2132
2145,2131
2145,2103
2145,1887
2146,2133
2146,2102
2146,2147
2147,2146
2148,1945
2148,1609
2149,1817
2149,2150
2150,2149
2150,1817
2150,1589
2151,2118
2151,2114
2151,2054
2151,1922
2151,1602
2152,2162
2153,2130
2153,2128
2154,2133
2154,2106
2155,2102
2155,1831
2156,2136
2156,1844
2156,1321
2157,2103
2157,1887
2157,1752
2157,1614
2157,1484
2158,1562
2158,1532
2158,1298
2159,1386
2159,1095
2159,2170
2159,2169
2160,2162
2160,2161
2161,2160
2161,1985
2162,2160
2162,2152
2162,1742
2163,2111
2163,1807
2163,1664
2164,2112
2164,1181
2165,2071
2166,2071
2167,1702
2167,1687
2168,2190
2169,2159
2170,2159
2171,2192
2172,2192
2173,1530
2173,1471
2174,2175
2175,2174
2175,2031
2175,1978
2176,1536
2176,1100
2177,1928
2177,2178
2178,2177
2178,2183
2179,1489
2179,1100
2180,1345
2180,1172
2180,2181
2181,2180
2182,1268
2182,2197
2183,2178
2183,1747
2184,1435
2184,1164
2185,1309
2185,2198
2186,2066
2186,1953
2187,2066
2187,1953
2188,1471
2188,1468
2189,1352
2189,1164
2190,2168
2190,2096
2190,2091
2191,2077
2191,1311
2191,2192
2192,2191
2192,2172
2192,2171
2192,1311
2193,1527
2193,1413
2194,1713
2194,1224
2195,1447
2195,1117
2196,2053
2196,1930
2197,2182
2198,2185
2199,2204
2199,2200
2200,2199
2200,2201
2201,2200
2201,2203
2202,1506
2202,2204
2203,2201
2203,1277
2204,2202
2204,2199
2205,2211
2205,2210
2206,2382
2207,802
2207,2213
2208,2390
2208,2244
2209,4743
2209,2412
2210,2205
2210,2212
2211,2205
2211,2212
2212,2211
2212,2210
2212,2282
2212,2213
2213,2212
2213,2207
2213,395
2214,4897
2214,2396
2215,2411
2215,2357
2216,2387
2216,2370
2217,2345
2217,2288
2218,2347
2218,2346
2219,2397
2219,2373
2219,2332
2219,2244
2220,2229
2221,2405
2221,2403
2221,2402
2221,2376
2221,2295
2221,2261
2221,2232
2221,2223
2221,2222
2222,2221
2222,2418
2222,2321
2222,2229
2222,2224
2222,2223
2223,2222
2223,2221
2223,393
2223,2383
2223,2235
2223,2229
2224,2222
2224,2350
2224,2321
2225,2404
2225,2314
2226,2228
2227,2359
2227,2230
2228,2226
2228,2234
2229,2223
2229,2222
2229,2220
2230,2227
2230,2263
2231,396
2231,2357
2231,2347
2231,2317
2232,2221
2232,2405
2233,2409
2233,2361
2233,2305
2234,2228
2234,2360
2235,2223
2235,2383
2235,2369
2235,2328
2235,2312
2235,2309
2235,2298
2235,2262
2236,2238
2237,2238
2238,2237
2238,2236
2238,2396
2238,2368
2238,2291
2239,2313
2239,2285
2240,2366
2240,2325
2241,4631
2241,4507
2241,2242
2242,2241
2242,2355
2242,2310
2242,2249
2243,2335
2243,2325
2244,2219
2244,2208
2244,2332
2245,2421
2245,2315
2246,2420
2246,2388
2246,2308
2247,2386
2247,2256
2248,4536
2248,4535
2248,2250
2248,2249
2249,2248
2249,2242
2249,4652
2249,4573
2249,2412
2249,2370
2249,2253
2249,2252
2249,2251
2250,2248
2251,2249
2252,2249
2253,2249
2253,2311
2254,2379
2254,2281
2255,2327
2255,2292
2256,2247
2256,2303
2257,2407
2257,2282
2258,2262
2259,2262
2260,2262
2261,2221
2262,2260
2262,2259
2262,2258
2262,2235
2262,2364
2262,2298
2263,2230
2263,2357
2263,2306
2264,2286
2264,2282
2265,4854
2265,2306
2266,2414
2266,2272
2267,2381
2267,2333
2267,2270
2267,2269
2267,2268
2268,2267
2268,2416
2268,2382
2268,2271
2269,2267
2270,2267
2271,2268
2272,2266
2272,2334
2273,2275
2274,2407
2274,2372
2274,2275
2275,2274
2275,2273
2276,2389
2276,2290
2276,2277
2277,2276
2278,2371
2278,2320
2279,2414
2279,2361
2280,2284
2281,2254
2281,2336
2281,2282
2282,2281
2282,2264
2282,2257
2282,2212
2282,389
2282,2375
2282,2372
2282,2304
2282,2302
2282,2284
2282,2283
2283,2282
2283,420
2283,396
2283,2284
2284,2283
2284,2282
2284,2280
2285,2239
2285,2392
2285,2331
2285,2286
2286,2285
2286,2264
2287,2387
2287,2334
2288,2217
2288,2316
2289,2382
2289,2341
2290,2276
2290,2377
2290,2368
2290,2292
2291,2238
2291,2315
2292,2290
2292,2255
2293,2367
2293,2348
2294,2382
2294,2332
2295,2221
2295,2405
2296,2298
2297,2298
2298,2297
2298,2296
2298,2262
2298,2235
2298,2369
2298,2343
2299,2407
2299,2300
2300,2299
2300,2407
2301,2372
2302,2282
2302,2354
2303,2256
2303,2408
2303,2348
2304,2282
2304,790
2304,2354
2305,2233
2305,2310
2306,2265
2306,2263
2307,386
2307,2330
2308,2246
2308,2415
2308,2388
2309,2235
2309,2388
2309,2383
2310,2305
2310,2242
2311,2253
2311,2346
2312,2235
2312,520
2312,4837
2312,2364
2313,2239
2314,2225
2314,2359
2314,2321
2315,2291
2315,2245
2316,2288
2316,2317
2317,2316
2317,2231
2317,2370
2318,2332
2318,2327
2319,2366
2319,2321
2320,2278
2320,2321
2321,2320
2321,2319
2321,2314
2321,2224
2321,2222
2321,2393
2321,2324
2321,2323
2321,2322
2322,2321
2323,2321
2324,2321
2325,2243
2325,2240
2325,2406
2325,2358
2326,2329
2327,2318
2327,2255
2327,2420
2327,2380
2327,2352
2327,2329
2327,2328
2328,2327
2328,2235
2328,2383
2328,2329
2329,2328
2329,2327
2329,2326
2330,2307
2330,2405
2331,2285
2331,2392
2332,2318
2332,2294
2332,2244
2332,2219
2332,2389
2332,2373
2333,2267
2333,2381
2334,2287
2334,2272
2335,2243
2335,2371
2335,2349
2336,2281
2336,2374
2336,2367
2336,2338
2337,2404
2337,2357
2338,2336
2339,2419
2339,2388
2340,2401
2340,2363
2341,2289
2341,2382
2342,4035
2342,2363
2343,2298
2343,2344
2344,2343
2344,69
2345,2217
2345,2346
2346,2345
2346,2311
2346,2218
2347,2231
2347,2218
2348,2303
2348,2293
2349,2335
2349,2406
2349,2350
2350,2349
2350,2224
2351,840
2351,2364
2352,2327
2352,2388
2353,2388
2353,2382
2354,2304
2354,2302
2354,2372
2355,2242
2355,4634
2355,2411
2355,2387
2356,2402
2356,2376
2357,2337
2357,2263
2357,2231
2357,2215
2358,2325
2358,2371
2359,2314
2359,2227
2360,2234
2360,2362
2361,2279
2361,2233
2362,2360
2362,2363
2363,2362
2363,2342
2363,2340
2363,2365
2363,2364
2364,2363
2364,2351
2364,2312
2364,2262
2365,2363
2365,4859
2366,2319
2366,2240
2367,2336
2367,2293
2368,2290
2368,2238
2368,2389
2368,2377
2368,2369
2369,2368
2369,2298
2369,2235
2370,2317
2370,2249
2370,2216
2371,2358
2371,2335
2371,2278
2372,2354
2372,2301
2372,2282
2372,2274
2373,2332
2373,2219
2373,2397
2374,2336
2374,2378
2374,2375
2375,2374
2375,2282
2376,2356
2376,2221
2376,2403
2377,2368
2377,2290
2378,2374
2378,2386
2378,2379
2379,2378
2379,2254
2380,2327
2380,2388
2381,2333
2381,2267
2381,2382
2382,2381
2382,2353
2382,2341
2382,2294
2382,2289
2382,2268
2382,2206
2382,2419
2382,2398
2382,2395
2382,2385
2382,2384
2382,2383
2383,2382
2383,2328
2383,2309
2383,2235
2383,2223
2384,2382
2384,2418
2385,2382
2385,2418
2386,2378
2386,2247
2386,2408
2387,2355
2387,2287
2387,2216
2387,4660
2388,2380
2388,2353
2388,2352
2388,2339
2388,2309
2388,2308
2388,2246
2389,2368
2389,2332
2389,2276
2390,2208
2390,2395
2391,2394
2392,2331
2392,2285
2392,2405
2392,2394
2392,2393
2393,2392
2393,2321
2393,395
2393,2394
2394,2393
2394,2392
2394,2391
2395,2390
2395,2382
2396,2238
2396,2214
2396,4849
2397,2373
2397,2219
2397,2400
2397,2399
2397,2398
2398,2397
2398,2382
2399,2397
2400,2397
2401,2340
2402,2356
2402,2221
2403,2376
2403,2221
2404,2337
2404,2225
2405,2392
2405,2330
2405,2295
2405,2232
2405,2221
2406,2349
2406,2325
2407,2300
2407,2299
2407,2274
2407,2257
2408,2386
2408,2303
2409,2233
2409,4753
2409,4749
2409,4649
2409,4632
2409,4552
2409,2410
2410,2409
2411,2355
2411,2215
2412,2249
2412,2209
2413,752
2413,2414
2414,2413
2414,2279
2414,2266
2414,753
2414,4695
2415,2308
2415,2416
2416,2415
2416,2268
2417,790
2417,777
2418,2385
2418,2384
2418,2222
2419,2382
2419,2339
2420,2327
2420,2246
2421,2245
2421,2422
2422,2421
2423,4563
2423,4491
2424,2425
2425,2424
2425,2519
2425,2459
2426,490
2426,2655
2426,2485
2427,2730
2427,2729
2428,2656
2428,2586
2428,2489
2429,2617
2429,2545
2430,2595
2431,2816
2431,2432
2432,2431
2432,2590
2433,2661
2433,2578
2434,2702
2434,2701
2434,2698
2434,2668
2434,2662
2434,2624
2434,2623
2434,2619
2434,2588
2434,2524
2434,2471
2434,2436
2435,2670
2435,2638
2435,2490
2436,2434
2436,2672
2436,2586
2437,2439
2438,2439
2439,2438
2439,2437
2439,2991
2439,2885
2439,2683
2439,2682
2439,2639
2439,2633
2439,2631
2439,2596
2439,2529
2439,2449
2440,4458
2440,4148
2440,4129
2441,2443
2442,2443
2443,2442
2443,2441
2443,2627
2443,2616
2443,2521
2444,3094
2444,2956
2444,2707
2444,2685
2444,2681
2445,2708
2445,2685
2445,2604
2446,3206
2446,2559
2446,2502
2447,1184
2447,2967
2447,2814
2447,2793
2447,2457
2448,2597
2448,2545
2449,2439
2449,3189
2449,2687
2450,3043
2450,2719
2450,2717
2450,2576
2450,2451
2451,2450
2452,2694
2452,2561
2452,2551
2453,2454
2454,2453
2454,2697
2454,2586
2454,2560
2455,3228
2455,3105
2455,2838
2455,2709
2456,2709
2456,2617
2456,2458
2457,2447
2457,3011
2457,3004
2457,2930
2457,2793
2457,2458
2458,2457
2458,2456
2458,2703
2458,2677
2458,2617
2458,2593
2458,2525
2458,2487
2458,2459
2459,2458
2459,2425
2459,2599
2459,2593
2459,2591
2459,2558
2460,2461
2461,2460
2461,2590
2461,2586
2462,2463
2463,2462
2463,2991
2463,2654
2464,2713
2464,2712
2464,2543
2464,2486
2465,3279
2465,3244
2465,2939
2465,2717
2465,2716
2466,2717
2467,2717
2468,2718
2468,2561
2468,2527
2469,2723
2469,2639
2469,2596
2470,2471
2471,2470
2471,2434
2471,2966
2472,3216
2472,2588
2472,2493
2473,2645
2473,2477
2473,2476
2474,2642
2474,2559
2474,2552
2474,2483
2474,2477
2474,2476
2474,2475
2475,2474
2475,2591
2475,2558
2475,2519
2475,2503
2476,2474
2476,2473
2476,3217
2477,2474
2477,2473
2477,3218
2478,2864
2478,2810
2479,2555
2479,2481
2479,2480
2480,2479
2480,2591
2480,2482
2481,2479
2482,2480
2483,2474
2483,3219
2483,2559
2484,3091
2484,3090
2484,2736
2484,2505
2485,2426
2485,2958
2485,2764
2485,2743
2485,2741
2485,2561
2485,2548
2485,2496
2486,2464
2486,2743
2486,2543
2486,2528
2487,2458
2487,2632
2487,2617
2488,3252
2488,3214
2488,2989
2488,2576
2488,2489
2489,2488
2489,2428
2489,3115
2489,3060
2489,2586
2489,2583
2489,2521
2490,2435
2490,3017
2490,2948
2490,2730
2490,2498
2490,2495
2491,2759
2492,2646
2492,2643
2492,2493
2493,2492
2493,2472
2493,3225
2493,3224
2493,3016
2493,3014
2493,2627
2493,2588
2494,3017
2494,2760
2494,2561
2495,2490
2495,2763
2495,2762
2495,2761
2496,2485
2496,3017
2496,2766
2497,3172
2497,2769
2497,2767
2497,2595
2498,2490
2498,2769
2498,2729
2498,2513
2499,3078
2499,2544
2499,2538
2500,3271
2500,3113
2500,2776
2500,2775
2500,2579
2500,2530
2501,2645
2501,2643
2501,2502
2502,2501
2502,2446
2502,3227
2502,3226
2502,3016
2502,2552
2502,2503
2503,2502
2503,2475
2503,2611
2504,2782
2504,2609
2504,2604
2505,2484
2505,3049
2505,2785
2505,2783
2505,2522
2506,2802
2506,2777
2506,2622
2507,2508
2508,2507
2508,2613
2508,2519
2509,2627
2509,2616
2509,2511
2509,2510
2510,2509
2511,2509
2512,3229
2513,2498
2513,3017
2513,2795
2514,2595
2514,2515
2515,2514
2515,3231
2515,3036
2515,2810
2515,2595
2516,2519
2516,2518
2516,2517
2517,2516
2518,2516
2519,2516
2519,2508
2519,2475
2519,2425
2519,2602
2519,2599
2519,2558
2520,3005
2520,2595
2520,2533
2521,2489
2521,2443
2521,3233
2521,2641
2521,2559
2522,2505
2522,3047
2522,3045
2522,2807
2522,2806
2522,2617
2522,2614
2522,2601
2523,2611
2524,2434
2524,2813
2524,2586
2525,2458
2525,2617
2526,3234
2527,2468
2527,2815
2527,2804
2527,2789
2527,2600
2527,2561
2528,2486
2528,2804
2528,2612
2528,2606
2528,2549
2528,2543
2529,2439
2529,3186
2529,2917
2529,2874
2529,2554
2530,2500
2530,3181
2530,3113
2530,2918
2530,2916
2530,2792
2530,2579
2530,2531
2531,2530
2531,2726
2531,2725
2531,2636
2532,2612
2532,2557
2533,2520
2533,3179
2533,3112
2533,3005
2533,2823
2533,2821
2533,2765
2533,2595
2533,2542
2533,2534
2534,2533
2534,3017
2534,2823
2534,2821
2534,2659
2534,2564
2535,2536
2536,2535
2536,2701
2536,2629
2537,3055
2537,2841
2537,2548
2538,2499
2538,3124
2538,3123
2538,2920
2538,2554
2538,2551
2538,2550
2538,2544
2538,2539
2539,2538
2539,2606
2539,2549
2540,2828
2541,2828
2541,2583
2542,2533
2542,490
2542,3207
2542,3174
2542,3112
2542,3068
2542,2997
2542,2952
2542,2836
2542,2835
2542,2834
2542,2765
2542,2728
2543,2528
2543,2486
2543,2464
2543,490
2543,4219
2543,2832
2544,2538
2544,2499
2544,2923
2544,2920
2544,2844
2544,2843
2544,2791
2545,2448
2545,2429
2545,3154
2545,2862
2545,2860
2545,2858
2545,2637
2545,2592
2545,2554
2546,2548
2547,2548
2548,2547
2548,2546
2548,2537
2548,2485
2548,490
2548,3055
2548,2958
2548,2848
2548,2847
2549,2539
2549,2528
2549,2856
2549,2855
2549,2551
2550,2538
2550,2854
2550,2853
2550,2850
2550,2849
2550,2561
2550,2551
2551,2550
2551,2549
2551,2538
2551,2452
2551,2852
2552,2502
2552,2474
2552,3292
2553,3284
2553,3149
2553,3141
2553,3128
2553,3096
2553,2999
2553,2995
2553,2971
2553,2922
2553,2908
2553,2874
2553,2872
2553,2871
2553,2870
2553,2845
2553,2843
2553,2809
2553,2801
2553,2721
2554,2545
2554,2538
2554,2529
2554,3187
2554,2872
2554,2871
2554,2870
2554,2608
2554,2596
2554,2575
2555,2479
2556,4317
2556,4099
2556,2621
2557,2532
2557,1131
2557,2558
2558,2557
2558,2519
2558,2475
2558,2459
2559,2521
2559,2483
2559,2474
2559,2446
2559,3243
2559,3242
2559,2627
2560,2454
2560,2882
2560,2604
2561,2550
2561,2527
2561,2494
2561,2485
2561,2468
2561,2452
2561,2900
2561,2883
2561,2826
2562,133
2562,81
2562,57
2562,4461
2562,4448
2562,4445
2562,4129
2563,3147
2563,3146
2563,2790
2563,2620
2564,2534
2564,2892
2564,2658
2565,2941
2565,2894
2565,2817
2565,2677
2566,2567
2567,2566
2567,2941
2567,2593
2568,2895
2569,2895
2569,2666
2569,2593
2570,2896
2571,2898
2572,2899
2572,2898
2572,2593
2573,2899
2574,3281
2574,3097
2574,2972
2574,2936
2574,2906
2574,2812
2574,2692
2574,2575
2575,2574
2575,2554
2575,3154
2575,2964
2575,2907
2575,2905
2575,2904
2575,2794
2575,2733
2575,2601
2575,2597
2575,2592
2575,2581
2576,2488
2576,2450
2576,3277
2576,3205
2576,3043
2576,2989
2577,3248
2577,3247
2577,3014
2577,2641
2577,2588
2578,2433
2578,2902
2578,2586
2579,2530
2579,2500
2579,3113
2579,2580
2580,2579
2581,2575
2582,2583
2583,2582
2583,2541
2583,2489
2584,2908
2584,2608
2584,2596
2585,3215
2585,3199
2585,3158
2585,3095
2585,2911
2585,2889
2585,2880
2585,2722
2585,2720
2585,2717
2585,2710
2585,2674
2585,2586
2586,2585
2586,2578
2586,2524
2586,2489
2586,2461
2586,2454
2586,2436
2586,2428
2586,2911
2586,2604
2587,2588
2588,2587
2588,2577
2588,2493
2588,2472
2588,2434
2589,3251
2590,2461
2590,2432
2590,2912
2591,2480
2591,2475
2591,2459
2592,2575
2592,2545
2593,2572
2593,2569
2593,2567
2593,2459
2593,2458
2593,2909
2593,2704
2594,1308
2594,2909
2594,2605
2595,2533
2595,2520
2595,2515
2595,2514
2595,2497
2595,2430
2595,3179
2595,3157
2595,3005
2596,2584
2596,2554
2596,2469
2596,2439
2596,2934
2596,2928
2596,2927
2596,2918
2597,2575
2597,2448
2597,2917
2598,2599
2599,2598
2599,2519
2599,2459
2600,2527
2600,2933
2601,2575
2601,2522
2601,3049
2601,2964
2601,2936
2602,2519
2603,3115
2603,2943
2603,2608
2604,2586
2604,2560
2604,2504
2604,2445
2604,2956
2604,2955
2604,2953
2604,2609
2605,2594
2605,2953
2605,2618
2605,2606
2606,2605
2606,2539
2606,2528
2606,2960
2606,2618
2606,2612
2606,2607
2607,2606
2607,3188
2607,2959
2607,2794
2607,2733
2607,2654
2607,2611
2607,2608
2608,2607
2608,2603
2608,2584
2608,2554
2608,3060
2608,2960
2608,2790
2608,2651
2608,2624
2608,2623
2609,2604
2609,2504
2609,2963
2610,2640
2611,2607
2611,2523
2611,2503
2611,3289
2611,3288
2611,2612
2612,2611
2612,2606
2612,2532
2612,2528
2613,2508
2614,2522
2614,2970
2614,2617
2615,2616
2616,2615
2616,2509
2616,2443
2616,3266
2617,2614
2617,2525
2617,2522
2617,2487
2617,2458
2617,2456
2617,2429
2617,2974
2617,2973
2617,2886
2617,2885
2617,2637
2618,2606
2618,2605
2618,2974
2619,2434
2619,2976
2619,2966
2620,2563
2620,2978
2620,2789
2621,2556
2621,4317
2621,4265
2621,4172
2622,2506
2622,2993
2622,2702
2622,2638
2623,2608
2623,2434
2623,2979
2624,2608
2624,2434
2624,2980
2625,2627
2626,2627
2627,2626
2627,2625
2627,2559
2627,2509
2627,2493
2627,2443
2628,2990
2628,2982
2629,2536
2629,2987
2629,2986
2629,2948
2630,3272
2631,2439
2631,3283
2631,2634
2632,2487
2632,3204
2633,2439
2633,3187
2634,2631
2635,2638
2636,2531
2636,2934
2637,2617
2637,2545
2638,2635
2638,2622
2638,2435
2639,2469
2639,2439
2640,2610
2640,2966
2640,2965
2641,2577
2641,2521
2641,3208
2642,2474
2643,2501
2643,2492
2643,3212
2643,2644
2644,2643
2644,3237
2644,3236
2644,2648
2645,2501
2645,2473
2645,3240
2645,3239
2645,2648
2645,2647
2646,2492
2646,3254
2646,2648
2647,2645
2647,3260
2647,3259
2647,3258
2647,3257
2647,3256
2647,3255
2647,2649
2648,2646
2648,2645
2648,2644
2648,3261
2648,2649
2649,2648
2649,2647
2649,3274
2649,3273
2650,3289
2650,3288
2651,2608
2651,3114
2652,2795
2652,2760
2653,3188
2653,3040
2654,2607
2654,2463
2654,3019
2655,2426
2655,3178
2655,3176
2655,2825
2655,2766
2655,2740
2656,2428
2656,3155
2656,2669
2657,3077
2657,2918
2657,2916
2657,2908
2657,2693
2658,2564
2658,2667
2659,2534
2659,2759
2660,3201
2660,3024
2661,2433
2662,2434
2662,3200
2662,3104
2662,2969
2662,2959
2662,2944
2662,2837
2662,2819
2662,2813
2662,2705
2662,2684
2662,2668
2663,2668
2664,2799
2665,2799
2666,2569
2666,2788
2667,2658
2668,2663
2668,2662
2668,2434
2669,2656
2670,2435
2670,3221
2670,3008
2670,3005
2670,2795
2671,3143
2671,3026
2671,3004
2671,3001
2671,2796
2671,2780
2672,2436
2672,2674
2672,2673
2673,2672
2674,2672
2674,2585
2674,3215
2674,2890
2674,2710
2675,2914
2676,2677
2677,2676
2677,2565
2677,2458
2678,2942
2678,2714
2679,2680
2680,2679
2680,490
2680,2984
2681,2444
2682,2439
2683,2439
2684,2662
2684,2813
2685,2445
2685,2444
2685,2686
2686,2685
2686,3003
2686,2778
2687,2449
2687,3099
2687,3098
2687,3050
2687,2936
2687,2846
2687,2758
2688,3090
2689,3091
2690,2691
2691,2690
2691,2942
2691,2891
2691,2837
2692,2574
2692,3262
2692,3180
2692,3145
2692,2972
2692,2936
2693,2657
2693,3286
2693,3171
2693,3077
2693,2908
2694,2452
2694,3029
2694,3022
2694,3021
2694,2921
2695,2979
2696,2787
2696,2703
2697,2454
2697,3270
2697,3190
2697,3134
2697,3133
2697,3093
2697,2881
2698,2434
2698,2699
2699,2698
2700,3268
2700,2709
2701,2536
2701,2434
2702,2622
2702,2434
2702,3067
2703,2696
2703,2458
2703,3012
2703,2787
2703,2745
2704,2593
2704,3103
2704,2896
2705,2662
2706,2840
2706,2810
2707,2444
2708,2445
2709,2700
2709,2456
2709,2455
2710,2674
2710,2585
2710,3215
2710,3199
2711,3263
2711,3220
2711,3210
2711,2957
2712,2464
2713,2464
2714,2678
2714,2942
2715,3057
2715,2978
2715,2971
2715,2811
2716,2465
2716,3279
2716,3244
2717,2585
2717,2467
2717,2466
2717,2465
2717,2450
2717,4023
2717,4022
2717,3158
2717,2720
2717,2719
2718,2468
2719,2717
2719,2450
2720,2717
2720,2585
2721,2553
2721,2723
2722,2585
2722,2973
2722,2889
2722,2880
2722,2757
2723,2721
2723,2469
2723,2846
2724,3105
2724,2857
2724,2839
2724,2838
2724,2779
2724,2756
2724,2755
2725,2531
2725,3061
2725,2726
2726,2725
2726,2531
2726,3061
2727,3287
2727,3009
2727,2781
2728,2542
2728,3265
2728,3207
2728,3062
2728,2952
2729,2498
2729,2427
2729,2731
2730,2490
2730,2427
2730,2732
2731,2729
2732,2730
2733,2607
2733,2575
2733,3064
2734,2738
2735,2827
2736,2484
2736,3010
2736,2806
2736,2738
2736,2737
2737,2736
2737,3193
2737,2779
2737,2738
2738,2737
2738,2736
2738,2734
2739,2741
2739,2740
2740,2739
2740,2655
2740,3042
2740,3041
2740,2932
2740,2883
2740,2766
2740,2760
2741,2739
2741,2485
2741,2742
2742,2741
2743,2486
2743,2485
2743,2744
2744,2743
2745,2703
2745,3012
2746,3081
2747,3082
2748,3083
2749,3084
2750,3085
2751,3086
2752,3087
2753,3088
2754,3089
2755,2724
2756,2724
2756,2857
2757,2722
2757,2889
2758,2687
2758,3099
2759,2659
2759,2491
2760,2740
2760,2652
2760,2494
2760,3041
2760,2883
2760,2878
2760,2840
2760,2795
2761,2495
2762,2495
2763,2495
2764,2485
2764,3017
2764,2765
2765,2764
2765,2542
2765,2533
2765,3112
2766,2740
2766,2655
2766,2496
2766,3100
2767,2497
2767,2768
2768,2767
2769,2498
2769,2497
2769,2770
2770,2769
2771,2781
2771,2780
2771,2772
2772,2771
2773,3002
2774,3003
2774,2981
2775,2500
2776,2500
2777,2506
2778,2686
2778,2842
2779,2737
2779,2724
2779,2857
2779,2839
2779,2838
2780,2771
2780,2671
2780,3011
2780,3004
2780,2781
2781,2780
2781,2771
2781,2727
2781,3009
2781,3001
2781,2968
2781,2967
2782,2504
2783,2505
2783,3076
2783,2785
2783,2784
2784,2783
2784,2785
2785,2784
2785,2783
2785,2505
2786,2787
2787,2786
2787,2703
2787,2696
2787,3267
2787,2977
2788,2666
2789,2620
2789,2527
2790,2608
2790,2563
2791,2544
2791,2923
2791,2792
2792,2791
2792,2530
2792,3286
2792,2916
2793,2457
2793,2447
2793,3012
2794,2607
2794,2575
2794,3108
2795,2760
2795,2670
2795,2652
2795,2513
2796,2671
2796,3152
2796,3110
2796,3026
2796,2839
2797,3175
2797,2800
2797,2798
2798,2797
2798,3253
2798,3222
2798,3211
2798,3150
2798,2997
2798,2820
2798,2800
2799,2665
2799,2664
2799,490
2799,2947
2799,2946
2799,2800
2800,2799
2800,2798
2800,2797
2800,3253
2800,3222
2800,3211
2800,3151
2800,3150
2800,2997
2800,2820
2801,2553
2801,3284
2801,2995
2801,2922
2802,2506
2803,2982
2804,2528
2804,2527
2804,2805
2805,2804
2806,2736
2806,2522
2806,3238
2806,3010
2807,2522
2807,3168
2808,2842
2809,2553
2809,2843
2810,2706
2810,2515
2810,2478
2810,3036
2810,2986
2810,2864
2810,2840
2811,2715
2811,2971
2812,2574
2813,2684
2813,2662
2813,2524
2813,3116
2813,3079
2813,2976
2813,2903
2814,2447
2814,3012
2814,2983
2814,2977
2814,2967
2815,2527
2815,3198
2815,3142
2815,3106
2815,2878
2816,2431
2817,2565
2817,2818
2818,2817
2819,2662
2819,3200
2819,3131
2819,2959
2819,2944
2819,2866
2819,2837
2820,2800
2820,2798
2820,2952
2820,2865
2820,2825
2821,2534
2821,2533
2821,2822
2822,2821
2823,2534
2823,2533
2823,2824
2824,2823
2825,2820
2825,2655
2825,3178
2825,3177
2825,2952
2825,2865
2826,2561
2826,3017
2827,2735
2827,2828
2828,2827
2828,2541
2828,2540
2829,2834
2830,2835
2831,2836
2832,2543
2832,490
2832,2833
2833,2832
2834,2829
2834,2542
2834,490
2835,2830
2835,2542
2835,490
2836,2831
2836,2542
2836,490
2837,2819
2837,2691
2837,2662
2837,3131
2837,3104
2837,2969
2837,2944
2838,2779
2838,2724
2838,2455
2838,3228
2838,2857
2838,2839
2839,2838
2839,2796
2839,2779
2839,2724
2839,3250
2839,3152
2840,2810
2840,2760
2840,2706
2840,3025
2840,2883
2840,2878
2841,2537
2841,2935
2841,2932
2842,2808
2842,2778
2842,3195
2842,2981
2842,2940
2843,2809
2843,2553
2843,2544
2843,3096
2843,2908
2844,2544
2845,2553
2845,2971
2846,2723
2846,2687
2846,3213
2846,3173
2846,3018
2846,2936
2846,2862
2846,2860
2846,2858
2847,2548
2847,2932
2848,2548
2849,2550
2849,2851
2850,2550
2850,2851
2851,2850
2851,2849
2851,3276
2851,3156
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2851,3126
2851,3038
2851,2937
2851,2914
2851,2852
2852,2851
2852,2551
2852,3278
2852,3276
2852,3275
2852,3156
2852,3130
2852,3126
2853,2550
2854,2550
2855,2549
2856,2549
2857,2838
2857,2779
2857,2756
2857,2724
2857,3080
2858,2846
2858,2545
2858,2859
2859,2858
2860,2846
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2860,2861
2861,2860
2862,2846
2862,2545
2862,2863
2863,2862
2864,2810
2864,2478
2864,3122
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2864,3028
2865,2825
2865,2820
2865,2952
2866,2819
2866,2959
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2868,3135
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2870,2554
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2874,3186
2874,2917
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2876,2870
2877,2871
2878,2840
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2880,3095
2880,2998
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2880,2882
2881,2879
2881,2697
2881,3190
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2882,2881
2882,2880
2882,2560
2883,2878
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2883,2561
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2883,2986
2883,2900
2884,3147
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2886,2617
2886,3189
2886,2888
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2888,2886
2889,2880
2889,2757
2889,2722
2889,2585
2890,2674
2891,2691
2891,2942
2892,2564
2893,3245
2893,3000
2893,2996
2893,2894
2894,2893
2894,2565
2895,2569
2895,2568
2896,2704
2896,2570
2896,2897
2897,2896
2897,3023
2898,2572
2898,2571
2899,2573
2899,2572
2900,2883
2900,2561
2900,2901
2901,2900
2902,2578
2903,2813
2903,2976
2904,2575
2905,2575
2906,2574
2907,2575
2908,2843
2908,2693
2908,2657
2908,2584
2908,2553
2908,3096
2908,2918
2909,2594
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2909,2910
2910,2909
2911,2586
2911,2585
2912,2590
2913,2923
2914,2851
2914,2675
2914,3280
2914,3276
2914,3156
2914,3038
2915,3138
2915,2965
2916,2792
2916,2657
2916,2530
2916,2926
2916,2918
2917,2874
2917,2597
2917,2529
2917,3186
2918,2916
2918,2908
2918,2657
2918,2596
2918,2530
2918,3181
2918,2928
2918,2927
2918,2926
2919,3167
2920,2544
2920,2538
2921,2694
2922,2801
2922,2553
2922,3051
2923,2913
2923,2791
2923,2544
2924,2938
2924,2937
2924,2925
2925,2924
2926,2918
2926,2916
2926,2929
2927,2918
2927,2596
2927,3163
2928,2918
2928,2596
2928,3164
2929,2926
2930,2457
2931,3047
2932,2847
2932,2841
2932,2740
2932,3174
2932,3042
2932,3041
2932,3020
2932,2935
2933,2600
2934,2636
2934,2596
2935,2932
2935,2841
2936,2846
2936,2692
2936,2687
2936,2601
2936,2574
2936,3241
2936,3173
2936,3034
2936,3033
2936,2972
2937,2924
2937,2851
2937,3156
2937,2938
2938,2937
2938,2924
2938,3140
2938,2994
2939,2465
2939,4024
2939,3223
2939,3169
2940,2842
2941,2567
2941,2565
2941,3170
2942,2891
2942,2714
2942,2691
2942,2678
2943,2603
2943,2980
2944,2837
2944,2819
2944,2662
2944,3200
2944,3131
2944,2945
2945,2944
2946,2799
2947,2799
2948,2629
2948,2490
2949,490
2949,2950
2950,2949
2951,2997
2952,2865
2952,2825
2952,2820
2952,2728
2952,2542
2952,3265
2952,3035
2953,2605
2953,2604
2953,2954
2954,2953
2955,2604
2955,2957
2955,2956
2956,2955
2956,2604
2956,2444
2956,3094
2957,2955
2957,2711
2957,3263
2958,2548
2958,2485
2959,2866
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2959,2662
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2959,3161
2959,3148
2959,3121
2959,3109
2959,3063
2960,2608
2960,2606
2960,2961
2961,2960
2962,2963
2963,2962
2963,2609
2964,2601
2964,2575
2964,3066
2965,2915
2965,2640
2966,2640
2966,2619
2966,2471
2967,2814
2967,2781
2967,2447
2967,3011
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2968,2967
2968,2781
2969,2837
2969,2662
2969,3104
2970,2614
2970,3132
2971,2845
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2971,2715
2971,2553
2971,2978
2972,2936
2972,2692
2972,2574
2973,2722
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2973,3052
2974,2618
2974,2617
2974,2975
2975,2974
2976,2903
2976,2867
2976,2813
2976,2619
2977,2814
2977,2787
2977,3267
2977,3203
2977,2983
2978,2971
2978,2715
2978,2620
2978,3192
2978,3191
2979,2695
2979,2623
2979,3054
2980,2943
2980,2624
2981,2842
2981,2774
2981,3003
2982,2803
2982,2628
2983,2977
2983,2814
2983,3235
2983,3232
2984,2680
2984,2990
2984,2985
2985,2984
2986,2883
2986,2878
2986,2810
2986,2629
2986,3153
2986,3107
2987,2629
2987,3122
2988,2990
2989,2576
2989,2488
2990,2988
2990,2984
2990,2628
2991,2463
2991,2439
2991,3196
2992,3197
2993,2622
2993,3119
2993,3118
2994,2938
2995,2801
2995,2553
2996,2893
2996,3245
2997,2951
2997,2800
2997,2798
2997,2542
2997,3211
2998,2880
2998,3230
2998,3197
2999,2553
3000,2893
3001,2781
3001,2671
3001,3143
3001,3002
3002,3001
3002,2773
3003,2981
3003,2774
3003,2686
3004,2780
3004,2671
3004,2457
3004,3125
3005,2670
3005,2595
3005,2533
3005,2520
3005,3221
3005,3157
3005,3056
3005,3008
3006,3007
3007,3006
3007,3247
3008,3005
3008,2670
3008,3269
3008,3221
3008,3209
3009,2781
3009,2727
3009,3264
3009,3165
3010,2806
3010,2736
3010,3238
3011,2967
3011,2780
3011,2457
3012,2814
3012,2793
3012,2745
3012,2703
3013,3014
3014,3013
3014,2577
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3015,3016
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3017,2764
3017,2534
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3017,2496
3017,2494
3017,2490
3018,2846
3018,3213
3018,3173
3019,2654
3020,2932
3020,3174
3021,2694
3022,2694
3023,2897
3024,2660
3024,3071
3025,2840
3026,2796
3026,2671
3027,3049
3027,3048
3028,2864
3028,3122
3029,2694
3030,3284
3030,3129
3030,3128
3031,3101
3032,3102
3033,2936
3033,3034
3034,3033
3034,2936
3035,2952
3036,2810
3036,2515
3037,3041
3038,2914
3038,2851
3038,3276
3039,3105
3040,2653
3041,3037
3041,2932
3041,2883
3041,2760
3041,2740
3041,3042
3042,3041
3042,2932
3042,2740
3043,2576
3043,2450
3044,3137
3044,3075
3044,3045
3045,3044
3045,2522
3046,3135
3046,3073
3046,3047
3047,3046
3047,2931
3047,2522
3048,3027
3049,3027
3049,2601
3049,2505
3050,2687
3050,3098
3051,2922
3052,2973
3053,3197
3054,2979
3055,2548
3055,2537
3056,3005
3057,2715
3058,2884
3059,3129
3059,3128
3060,2608
3060,2489
3061,2726
3061,2725
3062,2728
3063,2959
3063,3148
3063,3109
3064,2733
3065,3202
3065,3186
3065,3159
3066,2964
3067,2702
3068,2542
3069,3167
3069,3084
3069,3070
3070,3069
3070,3089
3070,3073
3071,3024
3071,3201
3071,3137
3071,3086
3072,3166
3072,3081
3072,3073
3073,3072
3073,3070
3073,3046
3074,3085
3074,3083
3074,3075
3075,3074
3075,3044
3075,3088
3076,2783
3077,2693
3077,2657
3078,2499
3079,2813
3079,3116
3080,2857
3081,3072
3081,2746
3082,2747
3082,3101
3083,3074
3083,2748
3084,3069
3084,2749
3085,3074
3085,2750
3086,3071
3086,2751
3087,2752
3087,3102
3088,3075
3088,2753
3089,3070
3089,2754
3090,2688
3090,2484
3090,3101
3091,2689
3091,2484
3091,3102
3092,3128
3092,3127
3093,2697
3094,2956
3094,2444
3095,2880
3095,2585
3096,2908
3096,2843
3096,2553
3097,2574
3097,3281
3098,3050
3098,2687
3099,2758
3099,2687
3100,2766
3101,3090
3101,3082
3101,3031
3102,3091
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3103,2704
3104,2969
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3105,3039
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3110,2796
3111,2881
3111,2879
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3112,2765
3112,2542
3112,2533
3113,2579
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3114,2651
3115,2603
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3116,3079
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3117,3111
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3117,3246
3117,3144
3118,2993
3118,3119
3119,3118
3119,2993
3120,2864
3121,2959
3121,3161
3122,3028
3122,2987
3122,2864
3122,3249
3123,2538
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3124,2538
3124,3128
3125,3004
3126,2852
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3126,3130
3127,3092
3127,3129
3127,3128
3128,3127
3128,3124
3128,3123
3128,3092
3128,3059
3128,3030
3128,2553
3128,3284
3128,3149
3128,3129
3129,3128
3129,3127
3129,3059
3129,3030
3129,3284
3130,3126
3130,2852
3130,2851
3131,2944
3131,2837
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3132,2970
3133,2697
3133,3270
3133,3134
3134,3133
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3134,3270
3135,3046
3135,2868
3136,2869
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3137,3136
3137,3071
3137,3044
3138,2915
3139,3156
3140,2938
3141,2553
3141,3284
3142,2815
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3155,2656
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3156,2937
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3156,2851
3157,3005
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3158,2717
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3159,3065
3159,3202
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3164,2928
3165,3009
3166,3072
3167,3069
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3168,2807
3169,2939
3170,2941
3171,2693
3171,3286
3172,2497
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3173,3213
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3174,2932
3174,2542
3174,3194
3175,2797
3176,2655
3177,2825
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3178,2655
3179,2595
3179,2533
3180,3145
3180,2692
3181,2918
3181,2530
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3184,3187
3185,3186
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3186,3065
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3186,2874
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3186,3202
3187,3184
3187,2633
3187,2554
3188,3183
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3188,2607
3188,3283
3189,3182
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3189,2449
3190,2881
3190,2697
3191,2978
3192,2978
3193,2737
3194,3174
3195,2842
3196,2991
3197,3162
3197,3053
3197,2998
3197,2992
3197,2880
3197,3230
3198,2878
3198,2815
3199,2710
3199,2585
3200,2944
3200,2819
3200,2662
3201,3071
3201,2660
3202,3186
3202,3159
3202,3065
3203,2977
3204,2632
3205,2576
3205,3277
3206,2446
3207,2728
3207,2542
3208,2641
3209,3008
3209,3269
3210,2711
3211,2997
3211,2800
3211,2798
3212,2643
3213,3173
3213,3018
3213,2846
3214,2488
3214,3252
3215,2710
3215,2674
3215,2585
3216,2472
3217,2476
3217,3218
3218,3217
3218,2477
3219,2483
3219,3272
3220,2711
3221,3008
3221,3005
3221,2670
3222,2800
3222,2798
3223,2939
3224,2493
3225,2493
3226,2502
3227,2502
3228,2838
3228,2455
3229,2512
3229,3266
3230,3197
3230,2998
3230,2880
3231,2515
3232,2983
3232,3235
3233,2521
3234,2526
3234,3266
3234,3251
3235,3232
3235,2983
3236,2644
3237,2644
3238,3010
3238,2806
3239,2645
3240,2645
3241,2936
3242,2559
3243,2559
3244,2716
3244,2465
3244,3279
3245,2996
3245,2893
3246,3144
3246,3117
3247,3007
3247,2577
3248,2577
3249,3122
3250,3152
3250,2839
3251,3234
3251,2589
3251,3266
3252,3214
3252,2488
3253,2800
3253,2798
3254,2646
3255,2647
3256,2647
3257,2647
3258,2647
3259,2647
3260,2647
3261,2648
3262,2692
3263,2957
3263,2711
3264,3009
3265,2952
3265,2728
3266,3251
3266,3234
3266,3229
3266,2616
3267,2977
3267,2787
3268,2700
3269,3209
3269,3008
3270,3134
3270,3133
3270,2697
3271,2500
3272,3219
3272,2630
3273,2649
3274,2649
3275,2852
3275,3276
3276,3275
3276,3038
3276,2914
3276,2852
3276,2851
3277,3205
3277,2576
3278,2852
3279,3244
3279,2716
3279,2465
3280,2914
3281,3097
3281,2574
3281,3282
3282,3281
3283,3188
3283,2631
3284,3141
3284,3129
3284,3128
3284,3030
3284,2801
3284,2553
3285,3286
3286,3285
3286,3171
3286,2792
3286,2693
3287,2727
3288,2650
3288,2611
3288,3290
3289,2650
3289,2611
3289,3291
3290,3288
3291,3289
3292,2552
3293,3593
3293,3488
3293,3411
3294,3552
3294,3388
3294,3334
3294,3295
3295,3294
3295,4861
3295,3314
3296,3568
3296,3506
3296,3433
3296,3325
3296,3297
3297,3296
3297,3333
3297,3326
3297,3310
3298,3538
3298,3299
3299,3298
3299,3558
3299,3441
3299,3440
3299,3329
3299,3314
3300,3446
3301,3708
3301,3622
3301,3446
3302,3672
3302,3631
3302,3450
3303,3468
3304,3468
3305,3468
3306,3467
3307,3652
3307,3627
3307,3540
3307,3470
3307,3469
3307,3420
3307,3344
3308,3692
3308,3654
3308,3596
3308,3580
3308,3474
3309,3645
3309,3465
3309,3464
3309,3310
3310,3309
3310,3297
3310,3484
3310,3478
3310,3477
3310,3460
3310,3357
3310,3333
3311,3455
3311,3312
3312,3311
3312,3697
3312,3632
3312,3593
3312,3484
3312,3359
3312,3351
3312,3336
3312,3333
3312,3321
3313,3693
3313,3314
3314,3313
3314,3299
3314,3295
3314,3435
3315,3656
3315,3625
3315,3610
3315,3355
3316,3620
3316,3557
3316,3536
3316,3483
3316,3366
3316,3317
3317,3316
3317,3724
3317,3421
3317,3393
3317,3392
3317,3352
3317,3336
3318,4864
3318,3473
3319,3677
3319,3574
3319,3573
3319,3497
3319,3418
3320,3607
3320,3547
3320,3546
3320,3542
3320,3360
3321,3312
3321,3698
3321,3632
3321,3471
3321,3328
3322,4830
3322,3668
3322,3454
3322,3323
3323,3322
3323,3345
3323,3331
3324,3564
3324,3342
3325,3296
3325,3572
3326,3297
3326,3576
3327,3740
3327,3713
3327,3328
3328,3327
3328,3321
3328,3742
3328,3561
3329,3299
3329,3587
3329,3586
3329,3582
3329,3558
3329,3498
3329,3472
3329,3466
3329,3365
3330,3705
3330,3581
3330,3580
3330,3331
3331,3330
3331,3323
3331,4831
3331,4603
3331,3697
3331,3435
3332,3722
3332,3616
3332,3333
3333,3332
3333,3312
3333,3310
3333,3297
3333,4876
3334,3294
3334,4759
3334,3629
3335,3336
3336,3335
3336,3317
3336,3312
3336,4655
3336,3351
3337,4865
3337,3672
3337,3628
3337,3429
3337,3349
3338,3634
3339,3643
3340,3342
3341,4875
3341,3529
3341,3342
3342,3341
3342,3340
3342,3324
3342,4876
3342,3413
3343,3659
3343,3648
3343,3647
3343,3639
3343,3638
3343,3583
3343,3574
3343,3573
3344,3307
3344,3648
3344,3647
3344,3472
3345,3323
3345,4888
3345,3622
3345,3403
3346,3709
3346,3360
3347,3729
3347,3678
3347,3661
3347,3402
3347,3349
3347,3348
3348,3347
3348,4883
3349,3347
3349,3337
3349,3663
3350,3701
3350,3700
3350,3688
3350,3674
3350,3673
3351,3336
3351,3312
3351,3702
3351,3689
3351,3674
3351,3673
3351,3671
3351,3598
3351,3561
3352,3317
3352,4582
3352,3652
3352,3612
3352,3365
3352,3362
3352,3361
3353,3655
3353,3563
3353,3486
3353,3423
3354,3355
3355,3354
3355,3315
3355,3716
3355,3715
3355,3714
3355,3638
3355,3601
3355,3569
3355,3437
3355,3432
3356,3723
3356,3722
3356,3683
3356,3590
3356,3357
3357,3356
3357,3310
3358,3727
3358,3726
3358,3725
3358,3395
3358,3359
3359,3358
3359,3312
3359,3725
3359,3466
3360,3346
3360,3320
3360,4677
3360,3730
3360,3361
3361,3360
3361,3352
3361,4678
3362,3352
3362,4476
3363,4509
3363,3475
3364,4570
3364,3579
3365,3352
3365,3329
3365,3716
3366,3316
3367,3368
3368,3367
3368,3370
3368,3369
3369,3368
3369,4875
3370,3368
3370,3523
3371,3621
3371,3608
3371,3567
3371,3516
3372,4878
3373,3431
3374,3431
3375,3431
3376,3432
3377,3480
3378,4478
3378,3380
3378,3379
3379,3378
3380,3378
3381,4850
3382,3740
3383,3562
3384,3591
3385,4850
3386,3445
3387,4878
3388,3294
3389,3580
3390,3690
3391,3694
3392,3317
3393,3317
3394,3709
3395,3358
3396,3656
3397,3656
3398,3625
3399,3675
3399,3565
3400,3609
3400,3534
3400,3401
3401,3400
3401,3686
3401,3554
3401,3402
3402,3401
3402,3347
3403,3345
3403,3748
3403,3747
3404,3682
3404,3456
3405,3658
3406,3410
3407,3410
3408,3411
3409,3411
3410,3407
3410,3406
3410,3712
3410,3677
3410,3666
3410,3411
3411,3410
3411,3409
3411,3408
3411,3293
3411,3676
3411,3519
3411,3517
3412,3626
3412,3468
3413,3342
3413,3684
3414,3551
3414,3502
3415,3659
3415,3468
3416,3431
3416,3430
3416,3417
3417,3416
3417,3431
3418,3319
3418,3676
3418,3565
3419,3627
3420,3307
3420,3532
3421,3317
3421,3671
3422,3553
3422,3528
3423,3353
3423,3426
3423,3425
3424,3426
3425,3423
3426,3424
3426,3423
3426,3733
3426,3600
3427,3623
3427,3608
3428,3429
3429,3428
3429,3337
3429,3619
3430,3416
3431,3417
3431,3416
3431,3375
3431,3374
3431,3373
3431,3695
3431,3610
3432,3376
3432,3355
3432,3695
3433,3296
3433,3657
3434,3564
3434,3529
3435,3331
3435,3314
3436,3567
3436,3485
3437,3355
3437,3665
3438,3588
3438,3527
3439,3590
3440,3299
3441,3299
3442,3614
3442,3444
3443,3740
3444,3442
3445,3386
3445,3737
3445,3448
3445,3447
3446,3301
3446,3300
3446,3737
3447,3445
3448,3445
3449,3710
3449,3545
3450,3302
3451,3615
3452,3497
3453,3646
3453,3454
3454,3453
3454,3322
3454,4845
3455,3311
3455,3621
3456,3404
3456,3663
3456,3458
3456,3457
3457,3456
3458,3456
3459,3465
3460,3310
3461,3462
3462,3461
3462,3465
3462,3463
3463,3462
3463,3464
3464,3463
3464,3309
3465,3462
3465,3459
3465,3309
3466,3359
3466,3329
3467,3306
3467,3620
3467,3527
3467,3503
3467,3502
3467,3468
3468,3467
3468,3415
3468,3412
3468,3305
3468,3304
3468,3303
3468,3614
3468,3613
3468,3592
3468,3591
3468,3526
3468,3479
3468,3470
3468,3469
3469,3468
3469,3307
3470,3468
3470,3307
3471,3321
3471,3598
3472,3344
3472,3329
3473,3318
3473,3544
3474,3308
3475,3363
3476,3710
3477,3310
3478,3310
3479,3468
3480,3377
3480,3699
3480,3481
3481,3480
3482,3536
3483,3316
3483,3739
3484,3312
3484,3310
3484,3684
3484,3485
3485,3484
3485,3436
3485,3567
3485,3486
3486,3485
3486,3353
3486,3733
3486,3560
3486,3487
3487,3486
3487,3679
3488,3293
3488,3498
3489,3737
3489,3545
3490,3491
3491,3490
3491,3727
3491,3675
3492,3650
3493,3500
3493,3499
3493,3496
3494,3734
3494,3501
3494,3499
3495,3735
3495,3501
3495,3500
3496,3493
3497,3452
3497,3319
3497,3626
3497,3525
3497,3501
3497,3500
3497,3499
3498,3488
3498,3329
3498,3627
3498,3515
3499,3497
3499,3494
3499,3493
3500,3497
3500,3495
3500,3493
3501,3497
3501,3495
3501,3494
3502,3467
3502,3414
3503,3467
3503,3550
3504,3732
3504,3696
3505,3506
3506,3505
3506,3296
3506,3616
3507,3510
3508,3513
3509,3511
3510,3507
3510,3512
3511,3509
3511,3738
3511,3563
3511,3513
3511,3512
3512,3511
3512,3510
3512,3564
3512,3560
3513,3511
3513,3508
3514,3701
3514,3700
3514,3551
3514,3550
3515,3498
3515,3742
3516,3371
3517,3411
3517,3584
3517,3520
3518,3666
3519,3411
3520,3517
3521,3557
3522,3739
3522,3571
3523,3370
3523,3623
3524,3525
3525,3524
3525,3497
3525,3637
3526,3468
3526,3665
3527,3467
3527,3438
3528,3422
3529,3434
3529,3341
3530,3703
3530,3531
3531,3530
3532,3420
3532,3670
3533,3706
3534,3400
3535,3717
3536,3482
3536,3316
3536,3703
3537,3746
3537,3538
3538,3537
3538,3298
3538,3741
3539,3654
3540,3307
3540,3724
3541,3667
3541,3653
3541,3604
3542,3320
3542,3717
3542,3562
3543,4862
3544,3473
3544,3556
3545,3489
3545,3449
3545,3618
3545,3617
3546,3320
3547,3320
3548,3612
3549,3706
3550,3514
3550,3503
3551,3514
3551,3414
3552,3294
3552,3692
3553,3422
3553,1
3553,3675
3554,3401
3554,3651
3555,3609
3555,3605
3556,3544
3556,3708
3557,3521
3557,3316
3558,3329
3558,3299
3559,3579
3560,3512
3560,3486
3561,3351
3561,3328
3562,3542
3562,3383
3562,3744
3563,3511
3563,3353
3563,3564
3564,3563
3564,3512
3564,3434
3564,3324
3564,3655
3565,3418
3565,3399
3565,3675
3566,3719
3567,3485
3567,3436
3567,3371
3568,3296
3568,3731
3568,3577
3569,3355
3569,3588
3570,3601
3571,3522
3571,3601
3572,3325
3572,3657
3572,3589
3573,3343
3573,3319
3574,3343
3574,3319
3575,3589
3576,3326
3576,3731
3576,3718
3576,3578
3576,3577
3577,3576
3577,3568
3578,3576
3579,3559
3579,3364
3580,3389
3580,3330
3580,3308
3581,3330
3581,3654
3582,3329
3582,3612
3583,3343
3583,2
3583,3625
3584,3517
3584,3585
3585,3584
3585,3726
3586,3329
3586,1
3587,3329
3587,1
3588,3569
3588,3438
3589,3575
3589,3572
3590,3439
3590,3356
3590,3624
3591,3468
3591,3384
3591,3615
3592,3468
3592,3662
3593,3312
3593,3293
3594,3726
3595,3727
3596,3308
3596,3597
3597,3596
3597,3693
3598,3471
3598,3351
3599,3719
3599,3628
3600,3426
3600,3738
3601,3571
3601,3570
3601,3355
3602,3719
3603,3660
3603,3605
3604,3541
3604,3611
3605,3603
3605,3555
3605,3606
3606,3605
3607,3320
3607,3736
3607,3709
3608,3427
3608,3371
3609,3555
3609,3400
3609,3661
3610,3431
3610,3315
3611,3604
3611,3669
3612,3582
3612,3548
3612,3352
3613,3468
3613,3662
3614,3468
3614,3442
3615,3591
3615,3451
3616,3506
3616,3332
3617,3545
3618,3545
3618,3649
3619,3429
3619,3705
3620,3467
3620,3316
3621,3455
3621,3371
3621,3732
3622,3345
3622,3301
3623,3523
3623,3427
3624,3590
3625,3583
3625,3398
3625,3315
3626,3497
3626,3412
3627,3498
3627,3419
3627,3307
3628,3599
3628,3337
3629,3334
3629,3741
3630,3631
3631,3630
3631,3302
3631,3722
3632,3321
3632,3312
3633,3722
3633,3683
3634,3338
3634,3635
3635,3634
3635,3721
3636,3637
3637,3636
3637,3525
3637,1
3638,3355
3638,3343
3639,3343
3639,3656
3640,3641
3641,3640
3641,3678
3642,4885
3643,3339
3643,4628
3644,3645
3645,3644
3645,3309
3645,3722
3646,3453
3647,3344
3647,3343
3648,3344
3648,3343
3649,3618
3649,4885
3649,3669
3650,3492
3650,3651
3651,3650
3651,3554
3651,3663
3652,3352
3652,3307
3653,3541
3654,3581
3654,3539
3654,3308
3655,3564
3655,3353
3656,3639
3656,3397
3656,3396
3656,3315
3657,3572
3657,3433
3658,3405
3658,3686
3659,3415
3659,3343
3660,3603
3661,3609
3661,3347
3661,3743
3661,3682
3662,3613
3662,3592
3663,3651
3663,3456
3663,3349
3664,3726
3665,3526
3665,3437
3666,3518
3666,3410
3667,3541
3667,3745
3668,3322
3668,3745
3669,3649
3669,3611
3670,3532
3670,3702
3671,3421
3671,3351
3672,3337
3672,3302
3673,3351
3673,3350
3674,3351
3674,3350
3675,3565
3675,3553
3675,3491
3675,3399
3675,3699
3676,3418
3676,3411
3677,3410
3677,3319
3678,3641
3678,3347
3679,3487
3679,3681
3679,3680
3680,3679
3681,3679
3682,3661
3682,3404
3683,3633
3683,3356
3683,3722
3683,3685
3684,3484
3684,3413
3685,3683
3685,3723
3686,3658
3686,3401
3687,3728
3688,3350
3689,3351
3689,3698
3690,3390
3690,3691
3691,3690
3691,3692
3692,3691
3692,3552
3692,3308
3693,3597
3693,3313
3694,3391
3694,3695
3695,3694
3695,3432
3695,3431
3696,3504
3696,3697
3697,3696
3697,3331
3697,3312
3698,3689
3698,3321
3699,3675
3699,3480
3700,3514
3700,3350
3701,3514
3701,3350
3702,3670
3702,3351
3703,3536
3703,3530
3704,3705
3705,3704
3705,3619
3705,3330
3706,3549
3706,3533
3706,3707
3707,3706
3707,3708
3708,3707
3708,3556
3708,3301
3709,3607
3709,3394
3709,3346
3710,3476
3710,3449
3711,3713
3711,3712
3712,3711
3712,3410
3713,3711
3713,3327
3714,3355
3715,3355
3716,3365
3716,3355
3717,3542
3717,3535
3718,3576
3719,3602
3719,3599
3719,3566
3720,3737
3721,3635
3721,3722
3722,3721
3722,3683
3722,3645
3722,3633
3722,3631
3722,3356
3722,3332
3723,3685
3723,3356
3724,3540
3724,3317
3725,3359
3725,3358
3726,3664
3726,3594
3726,3585
3726,3358
3727,3595
3727,3491
3727,3358
3728,3687
3728,3729
3729,3728
3729,3347
3730,3360
3731,3576
3731,3568
3732,3621
3732,3504
3733,3486
3733,3426
3734,3494
3735,3495
3736,3607
3737,3720
3737,3489
3737,3446
3737,3445
3738,3600
3738,3511
3739,3522
3739,3483
3740,3443
3740,3382
3740,3327
3741,3629
3741,3538
3742,3515
3742,3328
3743,3661
3744,3562
3745,3668
3745,3667
3746,3537
3747,3403
3747,3748
3748,3747
3748,3403
3749,3932
3749,3778
3750,3793
3750,3767
3750,3762
3751,3793
3751,3762
3752,3936
3752,3804
3752,3773
3753,3774
3753,3755
3753,3754
3754,3753
3754,3784
3755,3753
3755,3778
3756,3757
3757,3756
3757,3931
3757,3930
3757,3792
3758,3883
3758,3792
3758,3759
3759,3758
3760,3761
3761,3760
3761,3788
3761,3784
3762,3751
3762,3750
3762,3935
3762,3932
3762,3926
3762,3788
3762,3764
3763,4199
3763,3946
3763,3789
3763,3766
3763,3765
3764,3762
3765,3763
3766,3763
3766,3938
3766,3838
3766,3801
3767,3750
3767,3838
3768,3943
3768,3838
3769,692
3769,483
3769,3770
3770,3769
3770,113
3770,3782
3771,3847
3771,3825
3771,3783
3771,3772
3772,3771
3773,3752
3773,3795
3774,3753
3774,3863
3774,3797
3775,3922
3775,3921
3775,3809
3775,3792
3775,3777
3775,3776
3776,3775
3776,3797
3777,3775
3777,3797
3778,3755
3778,3749
3778,3943
3779,3893
3779,3871
3779,3855
3779,3851
3779,3816
3779,3781
3780,3790
3780,3781
3781,3780
3781,3779
3781,726
3781,3870
3781,3801
3781,3798
3781,3785
3782,3770
3782,3870
3783,3771
3783,3879
3783,3868
3783,3842
3783,3841
3783,3836
3783,3785
3783,3784
3784,3783
3784,3761
3784,3754
3784,3797
3784,3785
3785,3784
3785,3783
3785,3781
3785,4199
3785,3905
3785,3798
3785,3787
3786,3896
3786,3891
3786,3886
3786,3857
3786,3787
3787,3786
3787,3785
3787,3789
3788,3762
3788,3761
3788,3935
3788,3895
3789,3787
3789,3763
3789,3895
3790,3780
3790,3937
3791,3792
3792,3791
3792,3775
3792,3758
3792,3757
3792,3922
3792,3822
3793,3751
3793,3750
3793,3904
3793,3794
3794,3793
3794,3795
3795,3794
3795,3773
3795,3802
3796,3934
3796,3916
3796,3887
3796,3877
3796,3876
3796,3854
3796,3799
3796,3797
3797,3796
3797,3784
3797,3777
3797,3776
3797,3774
3797,3937
3797,3800
3798,3785
3798,3781
3798,3941
3798,3940
3798,3939
3799,3796
3800,3797
3801,3781
3801,3766
3801,3918
3802,3795
3802,3944
3802,3936
3802,3928
3802,3804
3802,3803
3803,3802
3803,4199
3803,3938
3804,3802
3804,3752
3804,3928
3805,3864
3805,3863
3806,3838
3806,3807
3807,3806
3807,3901
3807,3844
3808,3894
3808,3875
3809,3775
3809,3945
3809,3930
3809,3921
3809,3857
3810,3821
3810,3811
3811,3810
3811,3864
3811,3831
3812,3898
3812,3843
3812,3813
3813,3812
3813,3838
3814,3908
3814,3831
3815,3849
3815,3821
3815,3819
3816,3779
3816,3817
3817,3816
3817,3890
3817,3889
3818,3880
3819,3815
3820,3896
3821,3815
3821,3810
3822,3792
3822,3881
3822,3823
3823,3822
3823,3913
3823,3912
3823,3893
3824,3842
3824,3825
3825,3824
3825,3771
3825,3903
3826,3918
3826,3908
3826,3863
3827,3944
3827,3856
3827,3828
3828,3827
3829,3900
3829,3895
3829,3837
3829,3830
3830,3829
3830,3895
3830,3832
3831,3814
3831,3811
3831,3849
3832,3830
3832,3833
3833,3832
3833,3919
3834,3879
3834,3863
3834,3855
3834,3850
3834,3835
3835,3834
3836,3783
3836,3918
3836,3907
3837,3829
3837,3895
3838,3813
3838,3806
3838,3768
3838,3767
3838,3766
3838,3906
3838,3862
3838,3844
3838,3840
3838,3839
3839,3838
3839,3923
3840,3838
3840,3843
3841,3783
3842,3824
3842,3783
3843,3840
3843,3812
3843,3844
3844,3843
3844,3838
3844,3807
3845,3873
3845,3872
3846,3847
3847,3846
3847,3771
3847,3859
3848,3927
3848,3920
3848,3895
3849,3831
3849,3815
3850,3834
3850,3851
3851,3850
3851,3779
3851,3863
3852,3853
3853,3852
3853,3861
3853,3856
3854,3796
3854,3888
3855,3834
3855,3779
3855,3912
3856,3853
3856,3827
3857,3809
3857,3786
3858,3859
3859,3858
3859,3847
3859,3868
3860,3903
3860,3902
3861,3853
3861,3914
3862,3838
3862,3901
3863,3851
3863,3834
3863,3826
3863,3805
3863,3774
3863,3907
3863,3864
3864,3863
3864,3811
3864,3805
3865,3904
3865,3866
3866,3865
3866,3906
3866,3904
3867,3895
3867,3872
3868,3859
3868,3783
3869,3870
3870,3869
3870,3782
3870,3781
3871,3779
3871,3916
3871,3915
3872,3867
3872,3845
3872,3911
3872,3895
3873,3845
3873,3929
3873,3874
3874,3873
3874,3903
3874,3895
3875,3808
3875,3892
3875,3878
3876,3796
3876,3877
3877,3876
3877,3796
3877,3916
3878,3875
3878,3904
3879,3834
3879,3783
3880,3818
3880,3925
3881,3822
3881,3916
3881,3882
3882,3881
3882,3917
3883,3758
3883,3910
3884,3904
3884,3885
3885,3884
3885,3914
3885,3904
3886,3786
3887,3796
3887,3890
3887,3888
3888,3887
3888,3854
3888,3909
3889,3817
3890,3887
3890,3817
3890,3909
3891,3786
3891,3902
3892,3875
3892,3938
3893,3823
3893,3779
3893,3915
3894,3808
3894,3904
3895,3874
3895,3872
3895,3867
3895,3848
3895,3837
3895,3830
3895,3829
3895,3789
3895,3788
3895,3927
3895,3920
3895,3919
3895,3900
3896,3820
3896,3786
3897,3933
3897,3923
3897,3898
3898,3897
3898,3812
3898,3918
3899,3900
3900,3899
3900,3895
3900,3829
3901,3862
3901,3807
3901,3925
3902,3891
3902,3860
3902,3903
3903,3902
3903,3874
3903,3860
3903,3825
3903,3927
3904,3894
3904,3885
3904,3884
3904,3878
3904,3866
3904,3865
3904,3793
3904,3905
3905,3904
3905,3785
3905,4199
3906,3866
3906,3838
3907,3863
3907,3836
3908,3826
3908,3814
3908,3925
3909,3890
3909,3888
3910,3883
3910,3917
3911,3872
3911,3918
3912,3855
3912,3823
3913,3823
3913,3922
3914,3885
3914,3861
3915,3893
3915,3871
3916,3881
3916,3877
3916,3871
3916,3796
3916,3917
3917,3916
3917,3910
3917,3882
3918,3911
3918,3898
3918,3836
3918,3826
3918,3801
3918,3933
3919,3895
3919,3833
3920,3895
3920,3848
3921,3809
3921,3775
3922,3913
3922,3792
3922,3775
3923,3897
3923,3839
3923,3924
3924,3923
3925,3908
3925,3901
3925,3880
3926,3762
3927,3903
3927,3895
3927,3848
3928,3804
3928,3802
3929,3873
3930,3809
3930,3757
3930,3931
3931,3930
3931,3757
3932,3762
3932,3749
3933,3918
3933,3897
3934,3796
3935,3788
3935,3762
3936,3802
3936,3752
3937,3797
3937,3790
3938,3892
3938,3803
3938,3766
3939,3798
3940,3798
3941,3798
3942,3943
3943,3942
3943,3778
3943,3768
3944,3827
3944,3802
3945,3809
3946,3763
3947,3973
3948,4012
3948,3978
3948,3956
3949,3998
3949,3950
3950,3949
3950,3975
3951,3980
3951,3975
3952,4040
3953,4000
3953,3983
3954,4064
3954,4062
3954,3995
3954,3966
3955,4056
3955,4055
3955,3969
3956,3948
3956,3963
3956,3957
3957,3956
3957,4031
3957,4008
3957,3989
3957,3979
3957,3965
3958,4016
3958,3999
3958,3959
3959,3958
3959,4011
3959,4008
3959,3997
3959,3979
3960,4034
3960,4023
3960,3962
3961,4045
3961,3962
3962,3961
3962,3960
3962,4047
3962,4004
3963,3956
3963,3999
3964,3965
3965,3964
3965,3957
3965,4002
3966,3954
3966,4064
3966,4063
3966,4041
3966,3985
3967,3969
3968,3969
3969,3968
3969,3967
3969,3955
3969,3971
3970,3972
3970,3971
3971,3970
3971,3969
3971,4072
3971,4029
3972,3970
3972,4005
3972,3992
3973,3947
3973,3995
3973,3984
3974,4078
3975,3951
3975,3950
3975,3994
3976,3979
3977,3979
3978,3948
3978,3979
3979,3978
3979,3977
3979,3976
3979,3959
3979,3957
3979,4027
3979,4020
3979,3980
3980,3979
3980,3951
3981,4038
3981,3983
3982,518
3982,4067
3982,4035
3983,3981
3983,3953
3983,4000
3984,3973
3984,3985
3985,3984
3985,3966
3985,3987
3985,3986
3986,3985
3986,4078
3987,3985
3987,426
3988,4048
3988,4006
3989,3957
3990,4025
3990,3991
3991,3990
3991,4003
3992,3972
3992,4021
3992,4013
3992,4012
3993,4033
3994,3975
3994,4068
3995,3973
3995,3954
3995,4065
3996,4016
3996,3997
3997,3996
3997,3959
3998,3949
3998,4050
3999,3963
3999,3958
4000,3983
4000,3953
4000,4029
4000,4020
4000,4001
4001,4000
4001,4030
4002,3965
4002,4047
4002,4020
4003,3991
4003,4034
4004,3962
4004,4036
4005,3972
4005,4028
4006,3988
4006,4007
4007,4006
4007,4056
4007,4049
4008,3959
4008,3957
4009,4079
4009,4046
4009,4037
4009,4018
4010,4047
4010,4036
4011,3959
4011,4017
4012,3992
4012,3948
4012,4028
4013,3992
4014,4038
4014,4029
4015,4058
4015,4033
4015,4025
4016,3996
4016,3958
4017,4011
4018,4009
4018,4037
4019,4020
4020,4019
4020,4002
4020,4000
4020,3979
4021,3992
4022,2717
4022,4034
4023,3960
4023,2717
4024,2939
4024,4026
4025,4015
4025,3990
4026,4024
4026,4033
4027,3979
4028,4012
4028,4005
4028,4029
4029,4028
4029,4014
4029,4000
4029,3971
4029,4080
4029,4032
4029,4031
4030,4001
4030,4041
4030,4039
4030,4031
4031,4030
4031,4029
4031,3957
4032,4029
4033,4026
4033,4015
4033,3993
4033,4034
4034,4033
4034,4022
4034,4003
4034,3960
4034,4057
4035,3982
4035,2342
4036,4010
4036,4004
4036,4080
4036,4039
4036,4038
4037,4018
4037,4009
4037,4038
4038,4037
4038,4036
4038,4014
4038,3981
4038,4080
4039,4036
4039,4030
4040,3952
4040,4049
4040,4041
4041,4040
4041,4030
4041,3966
4041,4066
4041,4043
4041,4042
4042,4041
4043,4041
4044,4045
4045,4044
4045,3961
4045,4046
4046,4045
4046,4009
4047,4010
4047,4002
4047,3962
4047,4080
4048,3988
4048,4049
4049,4048
4049,4040
4049,4007
4050,3998
4050,4053
4051,4053
4051,4052
4052,4051
4052,4070
4052,4069
4053,4051
4053,4050
4054,4055
4055,4054
4055,3955
4056,4007
4056,3955
4057,4034
4057,4058
4058,4057
4058,4015
4059,4061
4059,4060
4060,4059
4060,4071
4060,4065
4060,4063
4061,4059
4061,4062
4062,4061
4062,3954
4063,4060
4063,3966
4064,3966
4064,3954
4065,4060
4065,3995
4065,4066
4066,4065
4066,4041
4067,3982
4067,4068
4068,4067
4068,3994
4069,4052
4069,4105
4070,4052
4070,4105
4071,4060
4072,3971
4072,4073
4073,4072
4073,4076
4073,4075
4073,4074
4074,4073
4075,4073
4076,4073
4077,4078
4078,4077
4078,3986
4078,3974
4079,4009
4079,4080
4080,4079
4080,4047
4080,4038
4080,4036
4080,4029
4081,4086
4082,4084
4083,4084
4084,4083
4084,4082
4084,4099
4084,4090
4084,4086
4085,4086
4086,4085
4086,4084
4086,4081
4086,4162
4086,4090
4087,4267
4087,4218
4087,4172
4087,4166
4088,4299
4088,4089
4089,4088
4089,4188
4089,4187
4090,4086
4090,4084
4090,4217
4090,4160
4090,4121
4091,4092
4092,4091
4092,4208
4092,4189
4092,4116
4093,4285
4093,4102
4094,4279
4094,4152
4095,4105
4096,4106
4097,4246
4097,4245
4097,4222
4097,4200
4097,4136
4098,4283
4098,4282
4098,4281
4098,4147
4099,4084
4099,2556
4099,4172
4099,4110
4100,4260
4100,4244
4100,4241
4100,4101
4101,4100
4101,4317
4101,4227
4101,4206
4102,4093
4102,4306
4102,4305
4102,4151
4103,4225
4103,4152
4103,4104
4104,4103
4105,4095
4105,4070
4105,4069
4105,4106
4106,4105
4106,4096
4106,4147
4106,4144
4106,4109
4106,4107
4107,4106
4107,4184
4108,4109
4109,4108
4109,4106
4110,4099
4110,4243
4110,4156
4110,4138
4110,4121
4111,481
4111,4268
4111,4221
4111,4201
4111,4173
4111,4112
4112,4111
4112,129
4112,4213
4113,475
4113,4114
4114,4113
4114,4320
4114,4149
4114,4148
4115,4211
4115,4187
4115,4172
4116,4092
4117,4240
4117,4239
4117,4118
4118,4117
4118,4159
4118,4154
4118,4124
4119,4458
4119,4285
4119,4163
4119,4120
4120,4119
4120,522
4120,108
4120,4179
4120,4164
4121,4110
4121,4090
4121,4202
4121,4150
4121,4143
4122,4124
4123,4124
4124,4123
4124,4122
4124,4118
4125,4128
4126,4128
4127,4252
4127,4128
4128,4127
4128,4126
4128,4125
4128,4317
4128,4221
4128,4201
4128,4186
4129,2562
4129,2440
4129,4324
4129,4323
4130,4131
4131,4130
4131,4196
4132,4156
4132,4133
4133,4132
4133,4211
4134,4158
4134,4138
4134,4135
4135,4134
4136,4097
4136,4222
4137,4259
4137,4238
4137,4157
4137,4138
4138,4137
4138,4134
4138,4110
4138,4224
4138,4162
4138,4154
4139,4175
4139,4151
4140,4143
4141,4143
4142,4143
4143,4142
4143,4141
4143,4140
4143,4121
4144,4106
4144,4146
4145,526
4145,4146
4146,4145
4146,4144
4147,4106
4147,4098
4147,4204
4147,4171
4147,4151
4148,4114
4148,2440
4148,4325
4149,4114
4149,4326
4149,4173
4150,4121
4150,4202
4151,4147
4151,4139
4151,4102
4151,4215
4151,4212
4151,4209
4151,4152
4152,4151
4152,4103
4152,4094
4152,4165
4152,4163
4153,4253
4153,4154
4154,4153
4154,4138
4154,4118
4154,4193
4154,4159
4154,4156
4155,4258
4155,4249
4155,4242
4155,4156
4156,4155
4156,4154
4156,4132
4156,4110
4156,4194
4157,4137
4157,4233
4157,4229
4157,4228
4157,4223
4158,4134
4158,4232
4158,4231
4158,4230
4158,4162
4159,4154
4159,4118
4160,4090
4160,4269
4160,4217
4160,4206
4161,4251
4161,4162
4162,4161
4162,4158
4162,4138
4162,4086
4162,4193
4162,4172
4163,4152
4163,4119
4163,4216
4163,4164
4164,4163
4164,4120
4164,570
4164,4219
4164,4207
4164,4179
4164,4174
4165,4152
4165,4289
4165,4288
4166,4087
4166,4214
4166,4208
4166,4188
4166,4181
4167,4196
4167,4169
4167,4168
4168,4167
4169,4167
4170,4171
4171,4170
4171,4147
4171,4204
4172,4162
4172,4115
4172,4099
4172,4087
4172,2621
4172,4218
4172,4194
4172,4193
4173,4149
4173,4111
4173,474
4174,4164
4174,4317
4174,4207
4175,4139
4175,4280
4175,4176
4176,4175
4177,4179
4178,4179
4179,4178
4179,4177
4179,4164
4179,4120
4179,842
4180,4290
4180,4196
4180,4187
4180,4182
4181,4166
4181,4298
4181,4297
4181,4296
4181,4295
4181,4210
4182,4180
4182,4226
4182,4183
4183,4182
4184,4107
4184,4185
4185,4184
4186,4128
4186,4317
4186,4300
4187,4180
4187,4115
4187,4089
4187,4218
4187,4211
4187,4203
4187,4196
4187,4188
4188,4187
4188,4166
4188,4089
4188,4284
4189,4092
4189,4214
4190,4193
4191,4193
4192,4193
4193,4192
4193,4191
4193,4190
4193,4172
4193,4162
4193,4154
4193,4234
4194,4172
4194,4156
4194,4218
4195,4266
4195,4257
4195,4254
4195,4196
4196,4195
4196,4187
4196,4180
4196,4167
4196,4131
4197,4199
4198,4199
4199,4198
4199,4197
4199,3905
4199,3803
4199,3785
4199,3763
4199,4227
4199,4206
4199,4202
4200,4097
4201,4128
4201,4111
4201,4221
4202,4199
4202,4150
4202,4121
4202,4304
4203,4187
4203,4262
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4210,4181
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4299,4088
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4330,4401
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4364,4359
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4399,4382
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4423,238
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4425,353
4426,354
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4427,4443
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4428,326
4429,4427
4430,4426
4431,309
4431,4433
4432,4422
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4435,290
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4443,4427
4444,830
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4446,493
4446,475
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4459,99
4460,4461
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4462,4450
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4462,826
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4467,4553
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4469,4796
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4499,4674
4500,4498
4500,4490
4500,4765
4500,4764
4500,4501
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4501,4483
4502,4503
4503,4502
4503,4617
4503,4561
4504,4589
4504,4522
4505,4600
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4506,4660
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4507,4469
4507,2241
4507,4535
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4509,3363
4509,4664
4510,4493
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4513,4581
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4527,4528
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4532,4826
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4549,4576
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4550,4624
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4551,4584
4552,2409
4552,4719
4552,4652
4552,4627
4553,4495
4553,4467
4553,4568
4554,4522
4554,4516
4554,4701
4554,4666
4555,4592
4555,4579
4556,4670
4556,4648
4557,4643
4557,4561
4558,4700
4559,4475
4560,4677
4560,4622
4561,4557
4561,4503
4561,4811
4562,4488
4562,4679
4562,4622
4562,4612
4563,2423
4563,4684
4564,4815
4564,4814
4564,4813
4564,4602
4564,4565
4565,4564
4565,4640
4565,4602
4566,4763
4566,4567
4567,4566
4567,4537
4567,4667
4568,4553
4568,4679
4569,4651
4569,4637
4570,3364
4570,4761
4570,4621
4570,4614
4570,4571
4571,4570
4571,4628
4572,4573
4573,4572
4573,2249
4573,4652
4573,4574
4574,4573
4574,4477
4574,4656
4574,4595
4574,4594
4575,4508
4575,4820
4576,4549
4577,4661
4577,4621
4578,4722
4579,4555
4579,4544
4579,4524
4579,4598
4580,4491
4581,4513
4581,4659
4581,4582
4582,4581
4582,4492
4582,3352
4583,4623
4583,4622
4584,4551
4584,4491
4585,4515
4585,4589
4585,4587
4586,4551
4586,4589
4587,4585
4588,4540
4588,4487
4588,4788
4588,4694
4589,4586
4589,4585
4589,4504
4590,4482
4590,4471
4590,4657
4591,4723
4591,4665
4592,4555
4592,4520
4592,4635
4593,4611
4594,4574
4595,4574
4596,4532
4596,4494
4597,4538
4597,4519
4598,4579
4598,4513
4599,4820
4600,4505
4600,4624
4601,4485
4601,4654
4602,4565
4602,4564
4602,4469
4602,4820
4602,4641
4602,4611
4603,3331
4604,4605
4605,4604
4605,4473
4605,4619
4606,4547
4606,4497
4606,4703
4607,4512
4607,4630
4607,4608
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4608,4690
4608,4655
4608,4644
4609,4773
4609,4686
4610,4489
4610,4636
4611,4602
4611,4593
4611,4531
4612,4562
4613,4512
4613,4468
4614,4570
4614,4516
4615,4654
4615,4643
4616,4493
4616,4791
4616,4683
4617,4503
4617,4473
4618,4534
4619,4605
4619,4637
4619,4625
4620,4522
4620,4520
4620,4776
4621,4577
4621,4570
4621,4633
4622,4583
4622,4562
4622,4560
4623,4583
4624,4600
4624,4550
4625,4619
4626,4510
4626,4469
4626,4786
4627,4552
4627,4733
4627,4649
4628,4571
4628,4476
4628,3643
4628,4662
4629,4653
4630,4607
4630,4672
4631,4536
4631,2241
4632,2409
4632,4743
4633,4621
4633,4664
4634,2355
4634,4683
4635,4592
4636,4610
4636,4508
4637,4619
4637,4569
4637,4642
4638,4548
4639,4470
4639,4689
4640,4565
4640,4821
4640,4641
4641,4640
4641,4602
4641,4645
4642,4637
4643,4615
4643,4557
4643,4511
4643,4644
4644,4643
4644,4608
4644,4652
4645,4641
4645,4668
4646,4473
4646,4675
4647,4674
4648,4556
4648,4549
4648,4490
4649,4627
4649,2409
4649,4753
4649,4750
4649,4739
4650,4531
4651,4569
4651,4541
4651,4532
4651,4826
4651,4723
4651,4652
4652,4651
4652,4644
4652,4573
4652,4552
4652,4474
4652,2249
4653,4629
4653,4654
4654,4653
4654,4615
4654,4601
4654,4523
4655,4608
4655,4481
4655,4479
4655,3336
4655,4656
4656,4655
4656,4574
4657,4590
4657,4687
4658,4700
4658,4660
4659,4581
4659,4524
4659,4495
4660,4658
4660,4506
4660,4493
4660,2387
4660,4688
4661,4577
4661,4517
4661,4662
4662,4661
4662,4628
4662,4543
4662,4476
4663,4664
4664,4663
4664,4633
4664,4509
4665,4591
4666,4554
4667,4567
4667,4779
4667,4686
4668,4645
4669,4515
4669,4491
4670,4556
4670,4827
4670,4689
4671,4472
4671,4674
4672,4630
4672,4676
4673,4534
4673,4823
4674,4671
4674,4647
4674,4499
4675,4646
4675,4542
4675,4799
4676,4672
4676,4528
4676,4470
4677,4560
4677,3360
4677,4684
4677,4678
4678,4677
4678,4476
4678,3361
4679,4568
4679,4562
4680,4826
4681,4825
4681,4771
4682,4683
4683,4682
4683,4634
4683,4616
4684,4677
4684,4563
4685,4771
4685,4686
4686,4685
4686,4667
4686,4609
4686,4537
4686,4525
4687,4657
4687,4530
4688,4660
4688,4484
4689,4670
4689,4639
4689,4691
4689,4690
4690,4689
4690,4608
4691,4689
4691,4518
4691,4781
4692,4694
4693,4695
4694,4692
4694,4588
4694,4695
4695,4694
4695,4693
4695,2414
4695,4927
4696,4512
4697,4818
4697,4699
4698,4699
4699,4698
4699,4697
4699,4520
4700,4658
4700,4558
4700,4546
4701,4554
4702,4511
4702,4494
4703,4606
4703,4487
4703,4793
4704,4746
4704,4711
4705,4745
4705,4714
4706,4719
4706,4716
4707,4716
4707,4713
4708,4752
4708,4746
4708,4733
4708,4729
4708,4728
4709,4729
4709,4728
4710,4724
4710,4714
4711,4704
4711,4735
4712,4728
4712,4727
4713,4707
4713,4732
4714,4710
4714,4705
4715,4751
4715,4727
4716,4707
4716,4706
4717,4728
4717,4720
4718,4737
4718,4731
4719,4706
4719,4552
4719,4732
4720,4717
4720,4736
4721,4755
4721,4751
4721,4739
4722,4578
4722,4534
4722,4723
4723,4722
4723,4651
4723,4591
4724,4710
4724,4735
4725,4754
4725,4727
4726,4784
4726,4756
4726,4749
4727,4725
4727,4715
4727,4712
4727,4775
4727,4774
4727,4736
4728,4717
4728,4712
4728,4709
4728,4708
4728,4748
4729,4709
4729,4708
4730,4751
4730,4748
4731,4718
4731,4738
4732,4719
4732,4713
4733,4708
4733,4627
4733,4757
4733,4745
4733,4740
4734,4744
4734,4738
4735,4724
4735,4711
4736,4727
4736,4720
4737,4718
4737,4739
4738,4734
4738,4731
4739,4737
4739,4721
4739,4649
4739,4742
4740,4733
4740,4747
4741,4747
4741,4742
4742,4741
4742,4739
4743,4632
4743,2209
4744,4734
4744,4751
4745,4733
4745,4705
4746,4708
4746,4704
4747,4741
4747,4740
4748,4730
4748,4728
4749,4726
4749,2409
4749,4784
4749,4754
4750,4649
4750,4751
4751,4750
4751,4744
4751,4730
4751,4721
4751,4715
4752,4708
4753,4649
4753,2409
4753,4754
4754,4753
4754,4749
4754,4725
4755,4721
4755,4812
4755,4758
4756,4726
4757,4733
4758,4755
4759,4525
4759,3334
4760,4761
4761,4760
4761,4570
4761,4777
4762,4768
4763,4566
4763,4539
4764,4500
4765,4500
4766,4470
4767,4529
4767,4496
4767,4769
4768,4762
4768,4522
4769,4767
4769,4770
4770,4769
4771,4685
4771,4681
4771,4538
4772,4482
4773,4609
4774,4727
4775,4727
4776,4620
4777,4761
4778,4518
4779,4667
4779,4780
4780,4779
4780,4824
4781,4691
4782,4518
4782,4827
4783,4784
4784,4783
4784,4749
4784,4726
4785,4786
4786,4785
4786,4626
4787,4794
4788,4588
4788,4792
4789,4540
4790,4791
4791,4790
4791,4616
4792,4788
4792,4795
4792,4793
4793,4792
4793,4703
4793,4794
4794,4793
4794,4787
4795,4792
4796,4469
4797,4493
4798,4497
4798,4822
4799,4675
4799,4542
4800,4520
4801,4520
4802,4520
4803,4526
4804,4526
4805,4538
4806,4538
4807,4538
4808,4539
4809,4539
4810,4823
4811,4561
4812,4755
4813,4564
4814,4564
4815,4564
4816,4541
4816,4817
4817,4816
4818,4697
4819,4820
4820,4819
4820,4602
4820,4599
4820,4575
4821,4640
4822,4798
4823,4810
4823,4673
4824,4780
4825,4681
4826,4680
4826,4651
4826,4532
4827,4782
4827,4670
4828,4897
4828,4884
4828,4866
4829,4874
4829,4866
4830,3322
4830,4845
4830,4831
4831,4830
4831,3331
4831,4899
4832,4477
4832,4889
4832,4841
4832,4837
4833,4898
4833,4896
4834,4923
4834,4916
4834,4847
4835,4836
4836,4835
4836,4897
4836,4884
4836,4849
4836,4837
4837,4836
4837,4832
4837,2312
4838,4904
4838,4890
4838,4881
4839,4904
4839,4903
4840,4867
4840,4843
4840,4842
4840,4841
4841,4840
4841,4832
4841,4887
4841,4844
4842,4840
4843,4840
4844,4841
4845,4830
4845,3454
4846,4848
4847,4834
4847,4878
4847,4848
4848,4847
4848,4846
4848,4900
4848,4883
4848,4873
4849,4836
4849,2396
4850,3385
4850,3381
4850,4922
4850,4909
4850,4908
4851,4892
4851,4855
4852,4882
4852,4860
4853,4854
4854,4853
4854,2265
4854,4897
4855,4851
4855,980
4856,4871
4856,4859
4857,4859
4858,4860
4859,4857
4859,4856
4859,2365
4859,4860
4860,4859
4860,4858
4860,4852
4861,4537
4861,3295
4861,4867
4862,3543
4862,4878
4862,4863
4863,4862
4863,4877
4864,3318
4864,4887
4864,4879
4865,3337
4865,4923
4866,4829
4866,4828
4866,4537
4866,4867
4867,4866
4867,4861
4867,4840
4867,4474
4867,4925
4867,4869
4867,4868
4868,4867
4869,4867
4870,4913
4870,4880
4871,4856
4871,4893
4872,4917
4872,4905
4872,4890
4872,4873
4873,4872
4873,4848
4873,4891
4874,4829
4874,4885
4874,4884
4875,3369
4875,3341
4875,4876
4876,4875
4876,4483
4876,3342
4876,3333
4876,4883
4877,4863
4877,4885
4878,4862
4878,4847
4878,3387
4878,3372
4878,4924
4878,4920
4878,4914
4878,4881
4878,4879
4879,4878
4879,4864
4879,4902
4880,4870
4880,4915
4880,4900
4881,4878
4881,4838
4882,4852
4882,138
4883,4876
4883,4848
4883,3348
4884,4874
4884,4836
4884,4828
4885,4877
4885,4874
4885,3649
4885,3642
4885,4886
4886,4885
4886,4888
4886,4887
4887,4886
4887,4864
4887,4841
4887,4889
4888,4886
4888,3345
4888,4900
4888,4889
4889,4888
4889,4887
4889,4832
4890,4872
4890,4838
4891,4873
4891,4893
4892,4851
4892,4893
4893,4892
4893,4891
4893,4871
4893,68
4893,4894
4894,4893
4894,1030
4895,4925
4896,4833
4896,4926
4897,4854
4897,4836
4897,4828
4897,2214
4898,4833
4898,4926
4898,4899
4899,4898
4899,4831
4899,4925
4900,4888
4900,4880
4900,4848
4901,4921
4901,4909
4901,4907
4901,4902
4902,4901
4902,4879
4902,1033
4903,4839
4903,4905
4904,4839
4904,4838
4905,4903
4905,4872
4906,4908
4906,4907
4907,4906
4907,4901
4908,4906
4908,4850
4908,4919
4909,4901
4909,4850
4910,4924
4910,4914
4911,4921
4912,4923
4913,4870
4913,4918
4914,4910
4914,4878
4915,4880
4916,4834
4917,4872
4917,4922
4918,4913
4918,4924
4919,4908
4920,4878
4921,4911
4921,4901
4922,4917
4922,4850
4923,4912
4923,4865
4923,4834
4924,4918
4924,4910
4924,4878
4925,4899
4925,4895
4925,4867
4926,4898
4926,4896
4927,4695
4927,4928
4928,4927
4928,776
4928,4929
4929,4928
4929,4938
4930,3
4930,4937
4930,4931
4931,4930
4932,4935
4932,4934
4933,4939
4933,4934
4934,4933
4934,4932
4934,782
4935,4932
4935,4937
4936,4938
4937,4935
4937,4930
4938,4936
4938,4929
4939,4933
4939,4940
4940,4939
4940,819

================================================
FILE: examples/dataset/test_data_edge.csv
================================================
source,target,label
1,20000,node_1

================================================
FILE: examples/dataset/test_data_edge_single.csv
================================================
source
0
1


================================================
FILE: examples/dataset/test_data_node.csv
================================================
id,size
0,1.0
1,2.0
2,1.5

================================================
FILE: examples/dataset/test_data_node_very_very_long_name.csv
================================================
id,size
a,1.0
b,2.0
c,1.5

================================================
FILE: examples/test_file.rs
================================================
use std::path::PathBuf;

use graphpu::{
    bootstrap::{start_frame, ConfigBuilder},
    MainApp, utils::csv_loader::load_data,
};

pub const ROOT: &str = env!("CARGO_MANIFEST_DIR");

#[tokio::main]
async fn main() {
    let dataset_folder =  PathBuf::from(ROOT).join("examples").join("dataset");
    let test_node_data = dataset_folder.join("test_data_node.csv");
    let test_edge_data = dataset_folder.join("small_data_edge_raw.csv");

    let config_builder = ConfigBuilder::default().app_creator(Box::new(move |cc| {
        let mut app = MainApp::new(cc);
        app.models.setup_data(
                load_data(
                test_node_data.to_str().unwrap(),
                test_edge_data.to_str().unwrap(),
                0,
                1,
            ).unwrap()
        );
        Box::new(app)
    }));
    start_frame(config_builder.build());
}


================================================
FILE: lib/naga/.github/workflows/lazy.yml
================================================
# Lazy jobs running on master post merges.
name: lazy
on:
  push:
    branches: [master]

jobs:
  coverage:
    name: Coverage
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          toolchain: stable
      - name: Generate report
        uses: actions-rs/tarpaulin@v0.1
        with:
          args: '--tests --all-features --workspace'
      - name: Upload to codecov.io
        uses: codecov/codecov-action@v1
        with:
          token: ${{ secrets.CODECOV_TOKEN }}
      - name: Archive code coverage results
        uses: actions/upload-artifact@v1
        with:
          name: code-coverage-report
          path: cobertura.xml

  parse-dota2:
    name: Parse Dota2 shaders
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          profile: minimal
          toolchain: stable
      - run: mkdir data
      - name: Download shaders
        run: curl https://user.fm/files/v2-5573e18b9f03f42c6ae53c392083da35/dota2-shaders.zip -o data/all.zip
      - name: Unpack shaders
        run: cd data && unzip all.zip
      - name: Build Naga
        run: cargo build --release --bin naga
      - name: Convert shaders
        run: for file in data/*.spv ; do echo "Translating" ${file} && target/release/naga --validate 27 ${file} ${file}.metal; done

  parse-vulkan-tutorial-shaders:
    name: Parse Sascha Willems Vulkan tutorial shaders
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          profile: minimal
          toolchain: stable
      - name: Download shaders
        run: git clone https://github.com/SaschaWillems/Vulkan.git
      - name: Build Naga
        run: cargo build --release --bin naga
      - name: Convert metal shaders
        run: |
          # No needed to stop workflow if we can't validate one file
          set +e
          touch counter
          SUCCESS_RESULT_COUNT=0
          FILE_COUNT=0
          mkdir -p out
          find "Vulkan/data/shaders/glsl/" -name '*.spv' | while read fname;
          do
              echo "Convert: $fname"
              FILE_COUNT=$((FILE_COUNT+1))
              target/release/naga --validate 27 $(realpath ${fname}) out/$(basename ${fname}).metal
              if [[ $? -eq 0 ]]; then
                  SUCCESS_RESULT_COUNT=$((SUCCESS_RESULT_COUNT + 1))
              fi
              echo "Result: $(expr $FILE_COUNT - $SUCCESS_RESULT_COUNT) / $FILE_COUNT" > counter
          done
          cat counter

  dneto0_spirv-samples:
    name: Parse dneto0 spirv-samples
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          profile: minimal
          toolchain: stable
      - name: Download shaders
        run: git clone https://github.com/dneto0/spirv-samples.git
      - name: Build Naga
        run: cargo build --release --bin naga
      - name: Install spirv-tools
        run: |
           wget -q https://storage.googleapis.com/spirv-tools/artifacts/prod/graphics_shader_compiler/spirv-tools/linux-clang-release/continuous/1489/20210629-121459/install.tgz
           tar zxf install.tgz
           ./install/bin/spirv-as --version
      - name: Compile spv from spvasm
        run: |
           cd spirv-samples
           mkdir -p spv

           find "./spvasm" -name '*.spvasm' | while read fname;
           do
               echo "Convert to spv with spirv-as: $fname"
               ../install/bin/spirv-as --target-env spv1.3 $(realpath ${fname}) -o ./spv/$(basename ${fname}).spv
           done;
      - name: Validate spv and generate wgsl
        run: |
           set +e
           cd spirv-samples
           SUCCESS_RESULT_COUNT=0
           FILE_COUNT=0
           mkdir -p spv
           mkdir -p wgsl

           echo "==== Validate spv and generate wgsl ===="
           rm -f counter
           touch counter

           find "./spv" -name '*.spv' | while read fname;
           do
               echo "Convert: $fname"
               FILE_COUNT=$((FILE_COUNT+1))
               ../target/release/naga --validate 27 $(realpath ${fname}) ./wgsl/$(basename ${fname}).wgsl
               if [[ $? -eq 0 ]]; then
                   SUCCESS_RESULT_COUNT=$((SUCCESS_RESULT_COUNT + 1))
               fi
               echo "Result: $(expr $FILE_COUNT - $SUCCESS_RESULT_COUNT) / $FILE_COUNT" > counter
           done
           cat counter
      - name: Validate output wgsl
        run: |
           set +e
           cd spirv-samples
           SUCCESS_RESULT_COUNT=0
           FILE_COUNT=0

           rm -f counter
           touch counter

           find "./wgsl" -name '*.wgsl' | while read fname;
           do
               echo "Validate: $fname"
               FILE_COUNT=$((FILE_COUNT+1))
               ../target/release/naga --validate 27 $(realpath ${fname})
               if [[ $? -eq 0 ]]; then
                   SUCCESS_RESULT_COUNT=$((SUCCESS_RESULT_COUNT + 1))
               fi
               echo "Result: $(expr $FILE_COUNT - $SUCCESS_RESULT_COUNT) / $FILE_COUNT" > counter
           done
           cat counter

  check-snapshots-extra:
    name: Check snapshots (validated or not)
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          profile: minimal
          toolchain: stable
      - uses: actions-rs/cargo@v1
        name: Test minimal (without span)
        with:
          command: test
          args: --features validate -p naga
      - uses: actions-rs/cargo@v1
        name: Test all (without validation)
        with:
          command: test
          args: --features wgsl-in,wgsl-out,glsl-in,glsl-out,spv-in,spv-out,msl-out,hlsl-out,dot-out --workspace
      - name: Check snapshots (without validation)
        run: git diff --exit-code -- tests/out


================================================
FILE: lib/naga/.github/workflows/pipeline.yml
================================================
# Regular testing.
name: pipeline
on: [push, pull_request]

jobs:
  test-msrv:
    name: Test MSRV and dependencies minimal-versions
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          profile: minimal
          toolchain: "1.56.0"
          override: true
      - uses: taiki-e/install-action@cargo-hack
      - uses: taiki-e/install-action@cargo-minimal-versions
      # nightly is only used by cargo-minimal-versions to regenerate the lock file
      - run: rustup toolchain add nightly --no-self-update
      - name: Test all features
        run: cargo minimal-versions test --all-features --workspace
      - name: Check snapshots
        run: git diff --exit-code -- tests/out
  test:
    name: Test Nightly
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          profile: minimal
          toolchain: nightly
          override: true
      - uses: actions-rs/cargo@v1
        name: Default test
        with:
          # Our intention here is to test `naga` with no features enabled. But
          # since `cli` is the default package, a plain `cargo test` will build
          # `naga` with the features requested in `cli/Cargo.toml`. Passing
          # `--package naga` causes us to use the default features in the
          # top-level `Cargo.toml` instead.
          command: test
          args: --package naga
      - uses: actions-rs/cargo@v1
        name: Test all features
        with:
          command: test
          args: --all-features --workspace
      - name: Check snapshots
        run: git diff --exit-code -- tests/out
      - uses: actions-rs/cargo@v1
        name: Check benchmarks
        with:
          command: check
          args: --benches
  clippy:
    name: Clippy
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          profile: minimal
          toolchain: stable
          override: true
      - run: rustup component add clippy
      - uses: actions-rs/cargo@v1
        with:
          command: clippy
          args: --all-features --workspace -- -D warnings
  documentation:
    name: Documentation
    runs-on: ubuntu-latest
    env:
      RUSTDOCFLAGS: -Dwarnings
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          profile: minimal
          toolchain: stable
          override: true
      - uses: actions-rs/cargo@v1
        with:
          command: doc
          args: -p naga --all-features --document-private-items
  fmt:
    name: Format
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions-rs/toolchain@v1
        with:
          profile: minimal
          toolchain: stable
          override: true
          components: rustfmt
      - name: run rustfmt
        run: |
          cargo fmt -- --check


================================================
FILE: lib/naga/.github/workflows/validation-linux.yml
================================================
name: validation-linux
on:
  pull_request:
    paths:
    - 'tests/out/spv/*.spvasm'
    - 'tests/out/glsl/*.glsl'
    - 'tests/out/dot/*.dot'
    - 'tests/out/wgsl/*.wgsl'
    - 'src/front/wgsl/*'

jobs:
  validate-linux:
    name: SPIR-V + GLSL
    runs-on: ubuntu-20.04
    steps:
      - uses: actions/checkout@v2
      - name: Install tools
        run: sudo apt-get install spirv-tools glslang-tools graphviz
      - run: make validate-spv
      - run: make validate-glsl
      - run: make validate-dot
      - run: make validate-wgsl


================================================
FILE: lib/naga/.github/workflows/validation-macos.yml
================================================
name: validation-macos
on:
  pull_request:
    paths:
    - 'tests/out/msl/*.msl'

jobs:
  validate-macos:
    name: MSL
    runs-on: macos-latest
    steps:
      - uses: actions/checkout@v2
      - run: make validate-msl


================================================
FILE: lib/naga/.github/workflows/validation-windows.yml
================================================
name: validation-windows
on:
  pull_request:
    paths:
      - 'tests/out/hlsl/*.hlsl'

jobs:
  validate-windows-dxc:
    name: HLSL via DXC
    runs-on: windows-latest
    steps:
      - uses: actions/checkout@v2
      - name: Add DirectXShaderCompiler
        uses: napokue/setup-dxc@v1.0.0
      - run: make validate-hlsl-dxc
        shell: sh

  validate-windows-fxc:
    name: HLSL via FXC
    runs-on: windows-latest
    steps:
      - uses: actions/checkout@v2
      - name: Add fxc bin to PATH
        run: |
          Get-Childitem -Path "C:\Program Files (x86)\Windows Kits\10\bin\**\x64\fxc.exe" `
          | Sort-Object -Property LastWriteTime -Descending `
          | Select-Object -First 1 `
          | Split-Path -Parent `
          | Out-File -FilePath $Env:GITHUB_PATH -Encoding utf8 -Append
        shell: powershell
      - run: make validate-hlsl-fxc
        shell: sh

================================================
FILE: lib/naga/.gitignore
================================================
/target
/Debug
**/*.rs.bk
Cargo.lock
.DS_Store
.fuse_hidden*
.idea
.vscode
/*.dot
/*.metal
/*.metallib
/*.ron
/*.spv
/*.vert
/*.frag
/*.comp
/*.wgsl
/*.hlsl
/*.txt


================================================
FILE: lib/naga/CHANGELOG.md
================================================
# Change Log

## v0.10 (2022-10-05)

- Make termcolor dependency optional by @AldaronLau in https://github.com/gfx-rs/naga/pull/2014
- Fix clippy lints for 1.63 by @JCapucho in https://github.com/gfx-rs/naga/pull/2026
- Saturate by @evahop in https://github.com/gfx-rs/naga/pull/2025
- Use `Option::as_deref` as appropriate. by @jimblandy in https://github.com/gfx-rs/naga/pull/2040
- Explicitely enable std for indexmap by @maxammann in https://github.com/gfx-rs/naga/pull/2062
- Fix compiler warning by @Gordon-F in https://github.com/gfx-rs/naga/pull/2074

API
- Implement `Clone` for `Module` by @daxpedda in https://github.com/gfx-rs/naga/pull/2013
- Remove the glsl-validate feature by @JCapucho in https://github.com/gfx-rs/naga/pull/2045

DOCS
- Document arithmetic binary operation type rules. by @jimblandy in https://github.com/gfx-rs/naga/pull/2051

VALIDATOR
- Add `emit_to_{stderr,string}` helpers to validation error by @nolanderc in https://github.com/gfx-rs/naga/pull/2012
- Check regular functions don't have bindings by @JCapucho in https://github.com/gfx-rs/naga/pull/2050

WGSL-IN
- Update reserved WGSL keywords by @norepimorphism in https://github.com/gfx-rs/naga/pull/2009
- Implement lexical scopes by @JCapucho in https://github.com/gfx-rs/naga/pull/2024
- Rename `Scope` to `Rule`, since we now have lexical scope. by @jimblandy in https://github.com/gfx-rs/naga/pull/2042
- Splat on compound assignments by @JCapucho in https://github.com/gfx-rs/naga/pull/2049
- Fix bad span in assignment lhs error by @JCapucho in https://github.com/gfx-rs/naga/pull/2054
- Fix inclusion of trivia in spans by @SparkyPotato in https://github.com/gfx-rs/naga/pull/2055
- Improve assignment diagnostics by @SparkyPotato in https://github.com/gfx-rs/naga/pull/2056
- Break up long string, reformat rest of file. by @jimblandy in https://github.com/gfx-rs/naga/pull/2057
- Fix line endings on wgsl reserved words list. by @jimblandy in https://github.com/gfx-rs/naga/pull/2059

GLSL-IN
- Add support for .length() by @SpaceCat-Chan in https://github.com/gfx-rs/naga/pull/2017
- Fix missing stores for local declarations by @adeline-sparks in https://github.com/gfx-rs/naga/pull/2029
- Migrate to `SymbolTable` by @JCapucho in https://github.com/gfx-rs/naga/pull/2044
- Update initializer list type when parsing by @JCapucho in https://github.com/gfx-rs/naga/pull/2066

SPV-OUT
- Don't decorate varyings with interpolation modes at pipeline start/end by @nical in https://github.com/gfx-rs/naga/pull/2038
- Decorate integer builtins as Flat in the spirv writer by @nical in https://github.com/gfx-rs/naga/pull/2035
- Properly combine the fixes for #2035 and #2038. by @jimblandy in https://github.com/gfx-rs/naga/pull/2041
- Don't emit no-op `OpBitCast` instructions. by @jimblandy in https://github.com/gfx-rs/naga/pull/2043

HLSL-OUT
- Use the namer to sanitise entrypoint input/output struct names by @expenses in https://github.com/gfx-rs/naga/pull/2001
- Handle Unpack2x16float in hlsl by @expenses in https://github.com/gfx-rs/naga/pull/2002
- Add support for push constants by @JCapucho in https://github.com/gfx-rs/naga/pull/2005

DOT-OUT
- Improvements by @JCapucho in https://github.com/gfx-rs/naga/pull/1987

## v0.9 (2022-06-30)

- Fix minimal-versions of dependencies ([#1840](https://github.com/gfx-rs/naga/pull/1840)) **@teoxoy**
- Update MSRV to 1.56 ([#1838](https://github.com/gfx-rs/naga/pull/1838)) **@teoxoy**

API

- Rename `TypeFlags` `INTERFACE`/`HOST_SHARED` to `IO_SHARED`/`HOST_SHAREABLE` ([#1872](https://github.com/gfx-rs/naga/pull/1872)) **@jimblandy**
- Expose more error information ([#1827](https://github.com/gfx-rs/naga/pull/1827), [#1937](https://github.com/gfx-rs/naga/pull/1937)) **@jakobhellermann** **@nical** **@jimblandy**
- Do not unconditionally make error output colorful ([#1707](https://github.com/gfx-rs/naga/pull/1707)) **@rhysd**
- Rename `StorageClass` to `AddressSpace` ([#1699](https://github.com/gfx-rs/naga/pull/1699)) **@kvark**
- Add a way to emit errors to a path ([#1640](https://github.com/gfx-rs/naga/pull/1640)) **@laptou**

CLI

- Add `bincode` representation ([#1729](https://github.com/gfx-rs/naga/pull/1729)) **@kvark**
- Include file path in WGSL parse error ([#1708](https://github.com/gfx-rs/naga/pull/1708)) **@rhysd**
- Add `--version` flag ([#1706](https://github.com/gfx-rs/naga/pull/1706)) **@rhysd**
- Support reading input from stdin via `--stdin-file-path` ([#1701](https://github.com/gfx-rs/naga/pull/1701)) **@rhysd**
- Use `panic = "abort"` ([#1597](https://github.com/gfx-rs/naga/pull/1597)) **@jrmuizel**

DOCS

- Standardize some docs ([#1660](https://github.com/gfx-rs/naga/pull/1660)) **@NoelTautges**
- Document `TypeInner::BindingArray` ([#1859](https://github.com/gfx-rs/naga/pull/1859)) **@jimblandy**
- Clarify accepted types for `Expression::AccessIndex` ([#1862](https://github.com/gfx-rs/naga/pull/1862)) **@NoelTautges**
- Document `proc::layouter` ([#1693](https://github.com/gfx-rs/naga/pull/1693)) **@jimblandy**
- Document Naga's promises around validation and panics ([#1828](https://github.com/gfx-rs/naga/pull/1828)) **@jimblandy**
- `FunctionInfo` doc fixes ([#1726](https://github.com/gfx-rs/naga/pull/1726)) **@jimblandy**

VALIDATOR

- Forbid returning pointers and atomics from functions ([#911](https://github.com/gfx-rs/naga/pull/911)) **@jimblandy**
- Let validation check for more unsupported builtins ([#1962](https://github.com/gfx-rs/naga/pull/1962)) **@jimblandy**
- Fix `Capabilities::SAMPLER_NON_UNIFORM_INDEXING` bitflag ([#1915](https://github.com/gfx-rs/naga/pull/1915)) **@cwfitzgerald**
- Properly check that user-defined IO uses IO-shareable types ([#912](https://github.com/gfx-rs/naga/pull/912)) **@jimblandy**
- Validate `ValuePointer` exactly like a `Pointer` to a `Scalar` ([#1875](https://github.com/gfx-rs/naga/pull/1875)) **@jimblandy**
- Reject empty structs ([#1826](https://github.com/gfx-rs/naga/pull/1826)) **@jimblandy**
- Validate uniform address space layout constraints ([#1812](https://github.com/gfx-rs/naga/pull/1812)) **@teoxoy**
- Improve `AddressSpace` related error messages ([#1710](https://github.com/gfx-rs/naga/pull/1710)) **@kvark**

WGSL-IN

Main breaking changes

- Commas to separate struct members (comma after last member is optional)
  - `struct S { a: f32; b: i32; }` -> `struct S { a: f32, b: i32 }`
- Attribute syntax
  - `[[binding(0), group(0)]]` -> `@binding(0) @group(0)`
- Entry point stage attributes
  - `@stage(vertex)` -> `@vertex`
  - `@stage(fragment)` -> `@fragment`
  - `@stage(compute)` -> `@compute`
- Function renames
  - `smoothStep` -> `smoothstep`
  - `findLsb` -> `firstTrailingBit`
  - `findMsb` -> `firstLeadingBit`

Specification Changes (relavant changes have also been applied to the WGSL backend)

- Add support for `break if` ([#1993](https://github.com/gfx-rs/naga/pull/1993)) **@JCapucho**
- Update number literal format ([#1863](https://github.com/gfx-rs/naga/pull/1863)) **@teoxoy**
- Allow non-ascii characters in identifiers ([#1849](https://github.com/gfx-rs/naga/pull/1849)) **@teoxoy**
- Update reserved keywords ([#1847](https://github.com/gfx-rs/naga/pull/1847), [#1870](https://github.com/gfx-rs/naga/pull/1870), [#1905](https://github.com/gfx-rs/naga/pull/1905)) **@teoxoy** **@Gordon-F**
- Update entry point stage attributes ([#1833](https://github.com/gfx-rs/naga/pull/1833)) **@Gordon-F**
- Make colon in case optional ([#1801](https://github.com/gfx-rs/naga/pull/1801)) **@Gordon-F**
- Rename `smoothStep` to `smoothstep` ([#1800](https://github.com/gfx-rs/naga/pull/1800)) **@Gordon-F**
- Make semicolon after struct declaration optional ([#1791](https://github.com/gfx-rs/naga/pull/1791)) **@stshine**
- Use commas to separate struct members instead of semicolons ([#1773](https://github.com/gfx-rs/naga/pull/1773)) **@Gordon-F**
- Rename `findLsb`/`findMsb` to `firstTrailingBit`/`firstLeadingBit` ([#1735](https://github.com/gfx-rs/naga/pull/1735)) **@kvark**
- Make parenthesis optional for `if` and `switch` statements ([#1725](https://github.com/gfx-rs/naga/pull/1725)) **@Gordon-F**
- Declare attribtues with `@attrib` instead of `[[attrib]]` ([#1676](https://github.com/gfx-rs/naga/pull/1676)) **@kvark**
- Allow non-structure buffer types ([#1682](https://github.com/gfx-rs/naga/pull/1682)) **@kvark**
- Remove `stride` attribute ([#1681](https://github.com/gfx-rs/naga/pull/1681)) **@kvark**

Improvements

- Implement complete validation for size and align attributes ([#1979](https://github.com/gfx-rs/naga/pull/1979)) **@teoxoy**
- Implement `firstTrailingBit`/`firstLeadingBit` u32 overloads ([#1865](https://github.com/gfx-rs/naga/pull/1865)) **@teoxoy**
- Add error for non-floating-point matrix ([#1917](https://github.com/gfx-rs/naga/pull/1917)) **@grovesNL**
- Implement partial vector & matrix identity constructors ([#1916](https://github.com/gfx-rs/naga/pull/1916)) **@teoxoy**
- Implement phony assignment ([#1866](https://github.com/gfx-rs/naga/pull/1866), [#1869](https://github.com/gfx-rs/naga/pull/1869)) **@teoxoy**
- Fix being able to match `~=` as LogicalOperation ([#1849](https://github.com/gfx-rs/naga/pull/1849)) **@teoxoy**
- Implement Binding Arrays ([#1845](https://github.com/gfx-rs/naga/pull/1845)) **@cwfitzgerald**
- Implement unary vector operators ([#1820](https://github.com/gfx-rs/naga/pull/1820)) **@teoxoy**
- Implement zero value constructors and constructors that infer their type from their parameters ([#1790](https://github.com/gfx-rs/naga/pull/1790)) **@teoxoy**
- Implement invariant attribute ([#1789](https://github.com/gfx-rs/naga/pull/1789), [#1822](https://github.com/gfx-rs/naga/pull/1822)) **@teoxoy** **@jimblandy**
- Implement increment and decrement statements ([#1788](https://github.com/gfx-rs/naga/pull/1788), [#1912](https://github.com/gfx-rs/naga/pull/1912)) **@teoxoy**
- Implement `while` loop ([#1787](https://github.com/gfx-rs/naga/pull/1787)) **@teoxoy**
- Fix array size on globals ([#1717](https://github.com/gfx-rs/naga/pull/1717)) **@jimblandy**
- Implement integer vector overloads for `dot` function ([#1689](https://github.com/gfx-rs/naga/pull/1689)) **@francesco-cattoglio**
- Implement block comments ([#1675](https://github.com/gfx-rs/naga/pull/1675)) **@kocsis1david**
- Implement assignment binary operators ([#1662](https://github.com/gfx-rs/naga/pull/1662)) **@kvark**
- Implement `radians`/`degrees` builtin functions ([#1627](https://github.com/gfx-rs/naga/pull/1627)) **@encounter**
- Implement `findLsb`/`findMsb` builtin functions ([#1473](https://github.com/gfx-rs/naga/pull/1473)) **@fintelia**
- Implement `textureGather`/`textureGatherCompare` builtin functions ([#1596](https://github.com/gfx-rs/naga/pull/1596)) **@kvark**

SPV-IN

- Implement `OpBitReverse` and `OpBitCount` ([#1954](https://github.com/gfx-rs/naga/pull/1954)) **@JCapucho**
- Add `MultiView` to `SUPPORTED_CAPABILITIES` ([#1934](https://github.com/gfx-rs/naga/pull/1934)) **@expenses**
- Translate `OpSMod` and `OpFMod` correctly ([#1867](https://github.com/gfx-rs/naga/pull/1867), [#1995](https://github.com/gfx-rs/naga/pull/1995)) **@teoxoy** **@JCapucho**
- Error on unsupported `MatrixStride` ([#1805](https://github.com/gfx-rs/naga/pull/1805)) **@teoxoy**
- Align array stride for undecorated arrays ([#1724](https://github.com/gfx-rs/naga/pull/1724)) **@JCapucho**

GLSL-IN

- Don't allow empty last case in switch ([#1981](https://github.com/gfx-rs/naga/pull/1981)) **@JCapucho**
- Fix last case falltrough and empty switch ([#1981](https://github.com/gfx-rs/naga/pull/1981)) **@JCapucho**
- Splat inputs for smoothstep if needed ([#1976](https://github.com/gfx-rs/naga/pull/1976)) **@JCapucho**
- Fix parameter not changing to depth ([#1967](https://github.com/gfx-rs/naga/pull/1967)) **@JCapucho**
- Fix matrix multiplication check ([#1953](https://github.com/gfx-rs/naga/pull/1953)) **@JCapucho**
- Fix panic (stop emitter in conditional) ([#1952](https://github.com/gfx-rs/naga/pull/1952)) **@JCapucho**
- Translate `mod` fn correctly ([#1867](https://github.com/gfx-rs/naga/pull/1867)) **@teoxoy**
- Make the ternary operator behave as an if ([#1877](https://github.com/gfx-rs/naga/pull/1877)) **@JCapucho**
- Add support for `clamp` function ([#1502](https://github.com/gfx-rs/naga/pull/1502)) **@sjinno**
- Better errors for bad constant expression ([#1501](https://github.com/gfx-rs/naga/pull/1501)) **@sjinno**
- Error on a `matCx2` used with the `std140` layout ([#1806](https://github.com/gfx-rs/naga/pull/1806)) **@teoxoy**
- Allow nested accesses in lhs positions ([#1794](https://github.com/gfx-rs/naga/pull/1794)) **@JCapucho**
- Use forced conversions for vector/matrix constructors ([#1796](https://github.com/gfx-rs/naga/pull/1796)) **@JCapucho**
- Add support for `barrier` function ([#1793](https://github.com/gfx-rs/naga/pull/1793)) **@fintelia**
- Fix panic (resume expression emit after `imageStore`) ([#1795](https://github.com/gfx-rs/naga/pull/1795)) **@JCapucho**
- Allow multiple array specifiers ([#1780](https://github.com/gfx-rs/naga/pull/1780)) **@JCapucho**
- Fix memory qualifiers being inverted ([#1779](https://github.com/gfx-rs/naga/pull/1779)) **@JCapucho**
- Support arrays as input/output types ([#1759](https://github.com/gfx-rs/naga/pull/1759)) **@JCapucho**
- Fix freestanding constructor parsing ([#1758](https://github.com/gfx-rs/naga/pull/1758)) **@JCapucho**
- Fix matrix - scalar operations ([#1757](https://github.com/gfx-rs/naga/pull/1757)) **@JCapucho**
- Fix matrix - matrix division ([#1757](https://github.com/gfx-rs/naga/pull/1757)) **@JCapucho**
- Fix matrix comparisons ([#1757](https://github.com/gfx-rs/naga/pull/1757)) **@JCapucho**
- Add support for `texelFetchOffset` ([#1746](https://github.com/gfx-rs/naga/pull/1746)) **@JCapucho**
- Inject `sampler2DMSArray` builtins on use ([#1737](https://github.com/gfx-rs/naga/pull/1737)) **@JCapucho**
- Inject `samplerCubeArray` builtins on use ([#1736](https://github.com/gfx-rs/naga/pull/1736)) **@JCapucho**
- Add support for image builtin functions ([#1723](https://github.com/gfx-rs/naga/pull/1723)) **@JCapucho**
- Add support for image declarations ([#1723](https://github.com/gfx-rs/naga/pull/1723)) **@JCapucho**
- Texture builtins fixes ([#1719](https://github.com/gfx-rs/naga/pull/1719)) **@JCapucho**
- Type qualifiers rework ([#1713](https://github.com/gfx-rs/naga/pull/1713)) **@JCapucho**
- `texelFetch` accept multisampled textures ([#1715](https://github.com/gfx-rs/naga/pull/1715)) **@JCapucho**
- Fix panic when culling nested block ([#1714](https://github.com/gfx-rs/naga/pull/1714)) **@JCapucho**
- Fix composite constructors ([#1631](https://github.com/gfx-rs/naga/pull/1631)) **@JCapucho**
- Fix using swizzle as out arguments ([#1632](https://github.com/gfx-rs/naga/pull/1632)) **@JCapucho**

SPV-OUT

- Implement `reverseBits` and `countOneBits` ([#1897](https://github.com/gfx-rs/naga/pull/1897)) **@hasali19**
- Use `OpCopyObject` for matrix identity casts ([#1916](https://github.com/gfx-rs/naga/pull/1916)) **@teoxoy**
- Use `OpCopyObject` for bool - bool conversion due to `OpBitcast` not being feasible for booleans ([#1916](https://github.com/gfx-rs/naga/pull/1916)) **@teoxoy**
- Zero init variables in function and private address spaces ([#1871](https://github.com/gfx-rs/naga/pull/1871)) **@teoxoy**
- Use `SRem` instead of `SMod` ([#1867](https://github.com/gfx-rs/naga/pull/1867)) **@teoxoy**
- Add support for integer vector - scalar multiplication ([#1820](https://github.com/gfx-rs/naga/pull/1820)) **@teoxoy**
- Add support for matrix addition and subtraction ([#1820](https://github.com/gfx-rs/naga/pull/1820)) **@teoxoy**
- Emit required decorations on wrapper struct types ([#1815](https://github.com/gfx-rs/naga/pull/1815)) **@jimblandy**
- Decorate array and struct type layouts unconditionally ([#1815](https://github.com/gfx-rs/naga/pull/1815)) **@jimblandy**
- Fix wrong `MatrixStride` for `matCx2` and `mat2xR` ([#1781](https://github.com/gfx-rs/naga/pull/1781)) **@teoxoy**
- Use `OpImageQuerySize` for MS images ([#1742](https://github.com/gfx-rs/naga/pull/1742)) **@JCapucho**

MSL-OUT

- Insert padding initialization for global constants ([#1988](https://github.com/gfx-rs/naga/pull/1988)) **@teoxoy**
- Don't rely on cached expressions ([#1975](https://github.com/gfx-rs/naga/pull/1975)) **@JCapucho**
- Fix pointers to private or workgroup address spaces possibly being read only ([#1901](https://github.com/gfx-rs/naga/pull/1901)) **@teoxoy**
- Zero init variables in function address space ([#1871](https://github.com/gfx-rs/naga/pull/1871)) **@teoxoy**
- Make binding arrays play nice with bounds checks ([#1855](https://github.com/gfx-rs/naga/pull/1855)) **@cwfitzgerald**
- Permit `invariant` qualifier on vertex shader outputs ([#1821](https://github.com/gfx-rs/naga/pull/1821)) **@jimblandy**
- Fix packed `vec3` stores ([#1816](https://github.com/gfx-rs/naga/pull/1816)) **@teoxoy**
- Actually test push constants to be used ([#1767](https://github.com/gfx-rs/naga/pull/1767)) **@kvark**
- Properly rename entry point arguments for struct members ([#1766](https://github.com/gfx-rs/naga/pull/1766)) **@jimblandy**
- Qualify read-only storage with const ([#1763](https://github.com/gfx-rs/naga/pull/1763)) **@kvark**
- Fix not unary operator for integer scalars ([#1760](https://github.com/gfx-rs/naga/pull/1760)) **@vincentisambart**
- Add bounds checks for `ImageLoad` and `ImageStore` ([#1730](https://github.com/gfx-rs/naga/pull/1730)) **@jimblandy**
- Fix resource bindings for non-structures ([#1718](https://github.com/gfx-rs/naga/pull/1718)) **@kvark**
- Always check whether _buffer_sizes arg is needed ([#1717](https://github.com/gfx-rs/naga/pull/1717)) **@jimblandy**
- WGSL storage address space should always correspond to MSL device address space ([#1711](https://github.com/gfx-rs/naga/pull/1711)) **@wtholliday**
- Mitigation for MSL atomic bounds check ([#1703](https://github.com/gfx-rs/naga/pull/1703)) **@glalonde**

HLSL-OUT

- More `matCx2` fixes (#1989) ([#1989](https://github.com/gfx-rs/naga/pull/1989)) **@teoxoy**
- Fix fallthrough in switch statements ([#1920](https://github.com/gfx-rs/naga/pull/1920)) **@teoxoy**
- Fix missing break statements ([#1919](https://github.com/gfx-rs/naga/pull/1919)) **@teoxoy**
- Fix `countOneBits` and `reverseBits` for signed integers ([#1928](https://github.com/gfx-rs/naga/pull/1928)) **@hasali19**
- Fix array constructor return type ([#1914](https://github.com/gfx-rs/naga/pull/1914)) **@teoxoy**
- Fix hlsl output for writes to scalar/vector storage buffer ([#1903](https://github.com/gfx-rs/naga/pull/1903)) **@hasali19**
- Use `fmod` instead of `%` ([#1867](https://github.com/gfx-rs/naga/pull/1867)) **@teoxoy**
- Use wrapped constructors when loading from storage address space ([#1893](https://github.com/gfx-rs/naga/pull/1893)) **@teoxoy**
- Zero init struct constructor ([#1890](https://github.com/gfx-rs/naga/pull/1890)) **@teoxoy**
- Flesh out matrix handling documentation ([#1850](https://github.com/gfx-rs/naga/pull/1850)) **@jimblandy**
- Emit `row_major` qualifier on matrix uniform globals ([#1846](https://github.com/gfx-rs/naga/pull/1846)) **@jimblandy**
- Fix bool splat ([#1820](https://github.com/gfx-rs/naga/pull/1820)) **@teoxoy**
- Add more padding when necessary ([#1814](https://github.com/gfx-rs/naga/pull/1814)) **@teoxoy**
- Support multidimensional arrays ([#1814](https://github.com/gfx-rs/naga/pull/1814)) **@teoxoy**
- Don't output interpolation modifier if it's the default ([#1809](https://github.com/gfx-rs/naga/pull/1809)) **@NoelTautges**
- Fix `matCx2` translation for uniform buffers ([#1802](https://github.com/gfx-rs/naga/pull/1802)) **@teoxoy**
- Fix modifiers not being written in the vertex output and fragment input structs ([#1789](https://github.com/gfx-rs/naga/pull/1789)) **@teoxoy**
- Fix matrix not being declared as transposed ([#1784](https://github.com/gfx-rs/naga/pull/1784)) **@teoxoy**
- Insert padding between struct members ([#1786](https://github.com/gfx-rs/naga/pull/1786)) **@teoxoy**
- Fix not unary operator for integer scalars ([#1760](https://github.com/gfx-rs/naga/pull/1760)) **@vincentisambart**

GLSL-OUT

- Fix vector bitcasts (#1966) ([#1966](https://github.com/gfx-rs/naga/pull/1966)) **@expenses**
- Perform casts in int only math functions ([#1978](https://github.com/gfx-rs/naga/pull/1978)) **@JCapucho**
- Don't rely on cached expressions ([#1975](https://github.com/gfx-rs/naga/pull/1975)) **@JCapucho**
- Fix type error for `countOneBits` implementation ([#1897](https://github.com/gfx-rs/naga/pull/1897)) **@hasali19**
- Fix storage format for `Rgba8Unorm` ([#1955](https://github.com/gfx-rs/naga/pull/1955)) **@JCapucho**
- Implement bounds checks for `ImageLoad` ([#1889](https://github.com/gfx-rs/naga/pull/1889)) **@JCapucho**
- Fix feature search in expressions ([#1887](https://github.com/gfx-rs/naga/pull/1887)) **@JCapucho**
- Emit globals of any type ([#1823](https://github.com/gfx-rs/naga/pull/1823)) **@jimblandy**
- Add support for boolean vector `~`, `|` and `&` ops ([#1820](https://github.com/gfx-rs/naga/pull/1820)) **@teoxoy**
- Fix array function arguments ([#1814](https://github.com/gfx-rs/naga/pull/1814)) **@teoxoy**
- Write constant sized array type for uniform ([#1768](https://github.com/gfx-rs/naga/pull/1768)) **@hatoo**
- Texture function fixes ([#1742](https://github.com/gfx-rs/naga/pull/1742)) **@JCapucho**
- Push constants use anonymous uniforms ([#1683](https://github.com/gfx-rs/naga/pull/1683)) **@JCapucho**
- Add support for push constant emulation ([#1672](https://github.com/gfx-rs/naga/pull/1672)) **@JCapucho**
- Skip unsized types if unused ([#1649](https://github.com/gfx-rs/naga/pull/1649)) **@kvark**
- Write struct and array initializers ([#1644](https://github.com/gfx-rs/naga/pull/1644)) **@JCapucho**


## v0.8.5 (2022-01-25)

MSL-OUT

- Make VS-output positions invariant on even more systems ([#1697](https://github.com/gfx-rs/naga/pull/1697)) **@cwfitzgerald**
- Improve support for point primitives ([#1696](https://github.com/gfx-rs/naga/pull/1696)) **@kvark**


## v0.8.4 (2022-01-24)

MSL-OUT

- Make VS-output positions invariant if possible ([#1687](https://github.com/gfx-rs/naga/pull/1687)) **@kvark**

GLSL-OUT

- Fix `floatBitsToUint` spelling ([#1688](https://github.com/gfx-rs/naga/pull/1688)) **@cwfitzgerald**
- Call proper memory barrier functions ([#1680](https://github.com/gfx-rs/naga/pull/1680)) **@francesco-cattoglio**


## v0.8.3 (2022-01-20)

- Don't pin `indexmap` version ([#1666](https://github.com/gfx-rs/naga/pull/1666)) **@a1phyr**

MSL-OUT

- Fix support for point primitives ([#1674](https://github.com/gfx-rs/naga/pull/1674)) **@kvark**

GLSL-OUT

- Fix sampler association ([#1671](https://github.com/gfx-rs/naga/pull/1671)) **@JCapucho**


## v0.8.2 (2022-01-11)

VALIDATOR

- Check structure resource types ([#1639](https://github.com/gfx-rs/naga/pull/1639)) **@kvark**

WGSL-IN

- Improve type mismatch errors ([#1658](https://github.com/gfx-rs/naga/pull/1658)) **@Gordon-F**

SPV-IN

- Implement more sign agnostic operations ([#1651](https://github.com/gfx-rs/naga/pull/1651), [#1650](https://github.com/gfx-rs/naga/pull/1650)) **@JCapucho**

SPV-OUT

- Fix modulo operator (use `OpFRem` instead of `OpFMod`) ([#1653](https://github.com/gfx-rs/naga/pull/1653)) **@JCapucho**

MSL-OUT

- Fix `texture1d` accesses ([#1647](https://github.com/gfx-rs/naga/pull/1647)) **@jimblandy**
- Fix data packing functions ([#1637](https://github.com/gfx-rs/naga/pull/1637)) **@phoekz**


## v0.8.1 (2021-12-29)

API

- Make `WithSpan` clonable ([#1620](https://github.com/gfx-rs/naga/pull/1620)) **@jakobhellermann**

MSL-OUT

- Fix packed vec access ([#1634](https://github.com/gfx-rs/naga/pull/1634)) **@kvark**
- Fix packed float support ([#1630](https://github.com/gfx-rs/naga/pull/1630)) **@kvark**

HLSL-OUT

- Support arrays of matrices ([#1629](https://github.com/gfx-rs/naga/pull/1629)) **@kvark**
- Use `mad` instead of `fma` function ([#1580](https://github.com/gfx-rs/naga/pull/1580)) **@parasyte**

GLSL-OUT

- Fix conflicting names for globals ([#1616](https://github.com/gfx-rs/naga/pull/1616)) **@Gordon-F**
- Fix `fma` function ([#1580](https://github.com/gfx-rs/naga/pull/1580)) **@parasyte**


## v0.8 (2021-12-18)
  - development release for wgpu-0.12
  - lots of fixes in all parts
  - validator:
    - now gated by `validate` feature
    - nicely detailed error messages with spans
  - API:
    - image gather operations
  - WGSL-in:
    - remove `[[block]]` attribute
    - `elseif` is removed in favor of `else if`
  - MSL-out:
    - full out-of-bounds checking

## v0.7.3 (2021-12-14)
  - API:
    - `view_index` builtin
  - GLSL-out:
    - reflect textures without samplers
  - SPV-out:
    - fix incorrect pack/unpack

## v0.7.2 (2021-12-01)
  - validator:
    - check stores for proper pointer class
  - HLSL-out:
    - fix stores into `mat3`
    - respect array strides
  - SPV-out:
    - fix multi-word constants
  - WGSL-in:
    - permit names starting with underscores
  - SPV-in:
    - cull unused builtins
    - support empty debug labels
  - GLSL-in:
    - don't panic on invalid integer operations

## v0.7.1 (2021-10-12)
  - implement casts from and to booleans in the backends

## v0.7 (2021-10-07)
  - development release for wgpu-0.11
  - API:
    - bit extraction and packing functions
    - hyperbolic trigonometry functions
    - validation is gated by a cargo feature
    - `view_index` builtin
    - separate bounds checking policies for locals/buffers/textures
  - IR:
    - types and constants are guaranteed to be unique
  - WGSL-in:
    - new hex literal parser
    - updated list of reserved words
    - rewritten logic for resolving references and pointers
    - `switch` can use unsigned selectors
  - GLSL-in:
    - better support for texture sampling
    - better logic for auto-splatting scalars
  - GLSL-out:
    - fixed storage buffer layout
    - fix module operator
  - HLSL-out:
    - fixed texture queries
  - SPV-in:
    - control flow handling is rewritten from scratch
  - SPV-out:
    - fully covered out-of-bounds checking
    - option to emit point size
    - option to clamp output depth

## v0.6.3 (2021-09-08)
  - Reduced heap allocations when generating WGSL, HLSL, and GLSL
  - WGSL-in:
    - support module-scope `let` type inference
  - SPV-in:
    - fix depth sampling with projection
  - HLSL-out:
    - fix local struct construction
  - GLSL-out:
    - fix `select()` order
  - SPV-out:
    - allow working around Adreno issue with `OpName`

## v0.6.2 (2021-09-01)
  - SPV-out fixes:
    - requested capabilities for 1D and cube images, storage formats
    - handling `break` and `continue` in a `switch` statement
    - avoid generating duplicate `OpTypeImage` types
  - HLSL-out fixes:
    - fix output struct member names
  - MSL-out fixes:
    - fix packing of fields in interface structs
  - GLSL-out fixes:
    - fix non-fallthrough `switch` cases
  - GLSL-in fixes:
    - avoid infinite loop on invalid statements

## v0.6.1 (2021-08-24)
  - HLSL-out fixes:
    - array arguments
    - pointers to array arguments
    - switch statement
    - rewritten interface matching
  - SPV-in fixes:
    - array storage texture stores
    - tracking sampling across function parameters
    - updated petgraph dependencies
  - MSL-out:
    - gradient sampling
  - GLSL-out:
    - modulo operator on floats

## v0.6 (2021-08-18)
  - development release for wgpu-0.10
  - API:
    - atomic types and functions
    - storage access is moved from global variables to the storage class and storage texture type
    - new built-ins: `primitive_index` and `num_workgroups`
    - support for multi-sampled depth images
  - WGSL:
    - `select()` order of true/false is swapped
  - HLSL backend is vastly improved and now usable
  - GLSL frontend is heavily reworked

## v0.5 (2021-06-18)
  - development release for wgpu-0.9
  - API:
    - barriers
    - dynamic indexing of matrices and arrays is only allowed on variables
    - validator now accepts a list of IR capabilities to allow
    - improved documentation
  - Infrastructure:
    - much richer test suite, focused around consuming or emitting WGSL
    - lazy testing on large shader corpuses
    - the binary is moved to a sub-crate "naga-cli"
  - Frontends:
    - GLSL frontend:
      - rewritten from scratch and effectively revived, no longer depends on `pomelo`
      - only supports 440/450/460 versions for now
      - has optional support for codespan messages
    - SPIRV frontend has improved CFG resolution (still with issues unresolved)
    - WGSL got better error messages, workgroup memory support
  - Backends:
    - general: better expression naming and emitting
    - new HLSL backend (in progress)
    - MSL:
      - support `ArraySize` expression
      - better texture sampling instructions
    - GLSL:
      - multisampling on GLES
    - WGSL is vastly improved and now usable

## v0.4.2 (2021-05-28)
  - SPIR-V frontend:
    - fix image stores
    - fix matrix stride check
  - SPIR-V backend:
    - fix auto-deriving the capabilities
  - GLSL backend:
    - support sample interpolation
    - write out swizzled vector accesses

## v0.4.1 (2021-05-14)
  - numerous additions and improvements to SPIR-V frontend:
    - int8, in16, int64
    - null constant initializers for structs and matrices
    - `OpArrayLength`, `OpCopyMemory`, `OpInBoundsAccessChain`, `OpLogicalXxxEqual`
    - outer product
    - fix struct size alignment
    - initialize built-ins with default values
    - fix read-only decorations on struct members
  - fix struct size alignment in WGSL
  - fix `fwidth` in WGSL
  - fix scalars arrays in GLSL backend

## v0.4 (2021-04-29)
  - development release for wgpu-0.8
  - API:
    - expressions are explicitly emitted with `Statement::Emit`
    - entry points have inputs in arguments and outputs in the result type
    - `input`/`output` storage classes are gone, but `push_constant` is added
    - `Interpolation` is moved into `Binding::Location` variant
    - real pointer semantics with required `Expression::Load`
    - `TypeInner::ValuePointer` is added
    - image query expressions are added
    - new `Statement::ImageStore`
    - all function calls are `Statement::Call`
    - `GlobalUse` is moved out into processing
    - `Header` is removed
    - entry points are an array instead of a map
    - new `Swizzle` and `Splat` expressions
    - interpolation qualifiers are extended and required
    - struct member layout is based on the byte offsets
  - Infrastructure:
    - control flow uniformity analysis
    - texture-sampler combination gathering
    - `CallGraph` processor is moved out into `glsl` backend
    - `Interface` is removed, instead the analysis produces `ModuleInfo` with all the derived info
    - validation of statement tree, expressions, and constants
    - code linting is more strict for matches
  - new GraphViz `dot` backend for pretty visualization of the IR
  - Metal support for inlined samplers
  - `convert` example is transformed into the default binary target named `naga`
  - lots of frontend and backend fixes

## v0.3.2 (2021-02-15)
  - fix logical expression types
  - fix _FragDepth_ semantics
  - spv-in:
    - derive block status of structures
  - spv-out:
    - add lots of missing math functions
    - implement discard

## v0.3.1 (2021-01-31)
  - wgsl:
    - support constant array sizes
  - spv-out:
    - fix block decorations on nested structures
    - fix fixed-size arrays
    - fix matrix decorations inside structures
    - implement read-only decorations

## v0.3 (2021-01-30)
  - development release for wgpu-0.7
  - API:
    - math functions
    - type casts
    - updated storage classes
    - updated image sub-types
    - image sampling/loading options
    - storage images
    - interpolation qualifiers
    - early and conservative depth
  - Processors:
    - name manager
    - automatic layout
    - termination analysis
    - validation of types, constants, variables, and entry points

## v0.2 (2020-08-17)
  - development release for wgpu-0.6

## v0.1 (2020-02-26)
  - initial release


================================================
FILE: lib/naga/Cargo.toml
================================================
[package]
name = "naga"
version = "0.10.0"
authors = ["Naga Developers"]
edition = "2018"
description = "Shader translation infrastructure"
homepage = "https://github.com/gfx-rs/naga"
repository = "https://github.com/gfx-rs/naga/tree/v0.9"
keywords = ["shader", "SPIR-V", "GLSL", "MSL"]
license = "MIT OR Apache-2.0"
exclude = ["bin/**/*", "tests/**/*", "Cargo.lock", "target/**/*"]
resolver = "2"
rust-version = "1.56"

[package.metadata.docs.rs]
all-features = true

[profile.release]
panic = "abort"

[profile.dev]
panic = "abort"

[features]
default = []
clone = []
dot-out = []
glsl-in = ["pp-rs"]
glsl-out = []
msl-out = []
serialize = ["serde", "indexmap/serde-1"]
deserialize = ["serde", "indexmap/serde-1"]
spv-in = ["petgraph", "spirv"]
spv-out = ["spirv"]
wgsl-in = ["codespan-reporting", "hexf-parse", "termcolor", "unicode-xid"]
wgsl-out = []
hlsl-out = []
span = ["codespan-reporting", "termcolor"]
validate = []

[[bench]]
name = "criterion"
harness = false

[dependencies]
arbitrary = { version = "1.0.2", features = ["derive"], optional = true }
bitflags = "1.0.5"
bit-set = "0.5"
termcolor = { version = "1.0.4", optional = true }
# remove termcolor dep when updating to the next version of codespan-reporting
# termcolor minimum version was wrong and was fixed in
# https://github.com/brendanzab/codespan/commit/e99c867339a877731437e7ee6a903a3d03b5439e
codespan-reporting = { version = "0.11.0", optional = true }
rustc-hash = "1.1.0"
indexmap = { version = "1.6", features = ["std"] }
log = "0.4"
num-traits = "0.2"
spirv = { version = "0.2", optional = true }
thiserror = "1.0.21"
serde = { version = "1.0.103", features = ["derive"], optional = true }
petgraph = { version ="0.6", optional = true }
pp-rs = { version = "0.2.1", optional = true }
hexf-parse = { version = "0.2.1", optional = true }
unicode-xid = { version = "0.2.3", optional = true }

[dev-dependencies]
bincode = "1"
criterion = { version = "0.3", features = [] }
diff = "0.1"
# Require at least version 0.7.1 of ron, this version changed how floating points are
# serialized by forcing them to always have the decimal part, this makes it backwards
# incompatible with our tests because we do a syntatic diff and not a semantic one.
ron = "~0.7.1"
serde = { version = "1.0", features = ["derive"] }
spirv = { version = "0.2", features = ["deserialize"] }
rspirv = "0.11"
env_logger = "0.9"

[workspace]
members = [".", "cli"]

# Include "cli", so that `cargo run` runs the CLI by default. Include ".", so
# that `cargo test` includes naga's own tests by default (but note, using the
# features that `cli/Cargo.toml` requests).
default-members = [".", "cli"]


================================================
FILE: lib/naga/LICENSE-APACHE
================================================
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================================================
FILE: lib/naga/LICENSE-MIT
================================================
Copyright (c) [yyyy] [name of copyright owner]

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.


================================================
FILE: lib/naga/Makefile
================================================
.PHONY: all clean validate-spv validate-msl validate-glsl validate-dot validate-wgsl validate-hlsl-dxc validate-hlsl-fxc
.SECONDARY: boids.metal quad.metal
SNAPSHOTS_BASE_IN=tests/in
SNAPSHOTS_BASE_OUT=tests/out

all:
	cargo fmt
	cargo test --all-features --workspace
	cargo clippy --all-features --workspace -- -D warnings

clean:
	rm *.metal *.air *.metallib *.vert *.frag *.comp *.spv

bench:
	#rm -Rf target/criterion
	cargo bench

%.metal: $(SNAPSHOTS_BASE_IN)/%.wgsl $(wildcard src/*.rs src/**/*.rs examples/*.rs)
	cargo run --features wgsl-in,msl-out -- $< $@

%.air: %.metal
	xcrun -sdk macosx metal -c $< -mmacosx-version-min=10.11

%.metallib: %.air
	xcrun -sdk macosx metallib $< -o $@

%.dot: $(SNAPSHOTS_BASE_IN)/%.wgsl $(wildcard src/*.rs src/front/wgsl/*.rs src/back/dot/*.rs bin/naga.rs)
	cargo run --features wgsl-in,dot-out -- $< $@

%.png: %.dot
	dot -Tpng $< -o $@

validate-spv: $(SNAPSHOTS_BASE_OUT)/spv/*.spvasm
	@set -e && for file in $^ ; do \
		echo "Validating" $${file#"$(SNAPSHOTS_BASE_OUT)/"};	\
		cat $${file} | spirv-as --target-env vulkan1.0 -o - | spirv-val; \
	done

validate-msl: $(SNAPSHOTS_BASE_OUT)/msl/*.msl
	@set -e && for file in $^ ; do \
		echo "Validating" $${file#"$(SNAPSHOTS_BASE_OUT)/"};	\
		header=$$(head -n1 $${file});	\
		cat $${file} | xcrun -sdk macosx metal -mmacosx-version-min=10.11 -std=macos-$${header:13:8} -x metal - -o /dev/null; \
	done

validate-glsl: $(SNAPSHOTS_BASE_OUT)/glsl/*.glsl
	@set -e && for file in $(SNAPSHOTS_BASE_OUT)/glsl/*.Vertex.glsl ; do \
		echo "Validating" $${file#"$(SNAPSHOTS_BASE_OUT)/"};\
		cat $${file} | glslangValidator --stdin -S vert; \
	done
	@set -e && for file in $(SNAPSHOTS_BASE_OUT)/glsl/*.Fragment.glsl ; do \
		echo "Validating" $${file#"$(SNAPSHOTS_BASE_OUT)/"};\
		cat $${file} | glslangValidator --stdin -S frag; \
	done
	@set -e && for file in $(SNAPSHOTS_BASE_OUT)/glsl/*.Compute.glsl ; do \
		echo "Validating" $${file#"$(SNAPSHOTS_BASE_OUT)/"};\
		cat $${file} | glslangValidator --stdin -S comp; \
	done

validate-dot: $(SNAPSHOTS_BASE_OUT)/dot/*.dot
	@set -e && for file in $^ ; do \
		echo "Validating" $${file#"$(SNAPSHOTS_BASE_OUT)/"};	\
		cat $${file} | dot -o /dev/null; \
	done

validate-wgsl: $(SNAPSHOTS_BASE_OUT)/wgsl/*.wgsl
	@set -e && for file in $^ ; do \
		echo "Validating" $${file#"$(SNAPSHOTS_BASE_OUT)/"};	\
		cargo run $${file}; \
	done

validate-hlsl-dxc: SHELL:=/usr/bin/env bash # required because config files uses arrays
validate-hlsl-dxc: $(SNAPSHOTS_BASE_OUT)/hlsl/*.hlsl
	@set -e && for file in $^ ; do \
		DXC_PARAMS="-Wno-parentheses-equality -Zi -Qembed_debug -Od"; \
		echo "Validating" $${file#"$(SNAPSHOTS_BASE_OUT)/"}; \
		config="$$(dirname $${file})/$$(basename $${file}).config"; \
		. $${config}; \
		for (( i=0; i<$${#vertex[@]}; i++ )); do \
			name=`echo $${vertex[i]} | cut -d \: -f 1`; \
			profile=`echo $${vertex[i]} | cut -d \: -f 2`; \
			(set -x; dxc $${file} -T $${profile} -E $${name} $${DXC_PARAMS} > /dev/null); \
		done; \
		for (( i=0; i<$${#fragment[@]}; i++ )); do \
			name=`echo $${fragment[i]} | cut -d \: -f 1`; \
			profile=`echo $${fragment[i]} | cut -d \: -f 2`; \
			(set -x; dxc $${file} -T $${profile} -E $${name} $${DXC_PARAMS} > /dev/null); \
		done; \
		for (( i=0; i<$${#compute[@]}; i++ )); do \
			name=`echo $${compute[i]} | cut -d \: -f 1`; \
			profile=`echo $${compute[i]} | cut -d \: -f 2`; \
			(set -x; dxc $${file} -T $${profile} -E $${name} $${DXC_PARAMS} > /dev/null); \
		done; \
		echo "======================"; \
	done

validate-hlsl-fxc: SHELL:=/usr/bin/env bash # required because config files uses arrays
validate-hlsl-fxc: $(SNAPSHOTS_BASE_OUT)/hlsl/*.hlsl
	@set -e && for file in $^ ; do \
		FXC_PARAMS="-Zi -Od"; \
		echo "Validating" $${file#"$(SNAPSHOTS_BASE_OUT)/"}; \
		config="$$(dirname $${file})/$$(basename $${file}).config"; \
		. $${config}; \
		for (( i=0; i<$${#vertex[@]}; i++ )); do \
			name=`echo $${vertex[i]} | cut -d \: -f 1`; \
			profile=`echo $${vertex[i]} | cut -d \: -f 2`; \
			sm=`echo $${profile} | cut -d \_ -f 2`; \
			if (( sm < 6 )); then \
				(set -x; fxc $${file} -T $${profile} -E $${name} $${FXC_PARAMS} > /dev/null); \
			fi \
		done; \
		for (( i=0; i<$${#fragment[@]}; i++ )); do \
			name=`echo $${fragment[i]} | cut -d \: -f 1`; \
			profile=`echo $${fragment[i]} | cut -d \: -f 2`; \
			sm=`echo $${profile} | cut -d \_ -f 2`; \
			if (( sm < 6 )); then \
				(set -x; fxc $${file} -T $${profile} -E $${name} $${FXC_PARAMS} > /dev/null); \
			fi \
		done; \
		for (( i=0; i<$${#compute[@]}; i++ )); do \
			name=`echo $${compute[i]} | cut -d \: -f 1`; \
			profile=`echo $${compute[i]} | cut -d \: -f 2`; \
			sm=`echo $${profile} | cut -d \_ -f 2`; \
			if (( sm < 6 )); then \
				(set -x; fxc $${file} -T $${profile} -E $${name} $${FXC_PARAMS} > /dev/null); \
			fi \
		done; \
		echo "======================"; \
	done


================================================
FILE: lib/naga/README.md
================================================
# Naga

[![Matrix](https://img.shields.io/badge/Matrix-%23naga%3Amatrix.org-blueviolet.svg)](https://matrix.to/#/#naga:matrix.org)
[![Crates.io](https://img.shields.io/crates/v/naga.svg?label=naga)](https://crates.io/crates/naga)
[![Docs.rs](https://docs.rs/naga/badge.svg)](https://docs.rs/naga)
[![Build Status](https://github.com/gfx-rs/naga/workflows/pipeline/badge.svg)](https://github.com/gfx-rs/naga/actions)
![MSRV](https://img.shields.io/badge/rustc-1.56+-blue.svg)
[![codecov.io](https://codecov.io/gh/gfx-rs/naga/branch/master/graph/badge.svg?token=9VOKYO8BM2)](https://codecov.io/gh/gfx-rs/naga)

The shader translation library for the needs of [wgpu](https://github.com/gfx-rs/wgpu).

## Supported end-points

Front-end       |       Status       | Feature | Notes |
--------------- | ------------------ | ------- | ----- |
SPIR-V (binary) | :white_check_mark: | spv-in  |       |
WGSL            | :white_check_mark: | wgsl-in | Fully validated |
GLSL            | :ok:               | glsl-in | GLSL 440+ and Vulkan semantics only |

Back-end        |       Status       | Feature  | Notes |
--------------- | ------------------ | -------- | ----- |
SPIR-V          | :white_check_mark: | spv-out  |       |
WGSL            | :ok:               | wgsl-out |       |
Metal           | :white_check_mark: | msl-out  |       |
HLSL            | :white_check_mark: | hlsl-out | Shader Model 5.0+ (DirectX 11+) |
GLSL            | :ok:               | glsl-out | GLSL 330+ and GLSL ES 300+ |
AIR             |                    |          |       |
DXIL/DXIR       |                    |          |       |
DXBC            |                    |          |       |
DOT (GraphViz)  | :ok:               | dot-out  | Not a shading language |

:white_check_mark: = Primary support — :ok: = Secondary support — :construction: = Unsupported, but support in progress

## Conversion tool

Naga can be used as a CLI, which allows to test the conversion of different code paths.

First, install `naga-cli` from crates.io or directly from GitHub.

```bash
# release version
cargo install naga-cli

# development version
cargo install naga-cli --git https://github.com/gfx-rs/naga.git
```

Then, you can run `naga` command.

```bash
naga my_shader.wgsl # validate only
naga my_shader.spv my_shader.txt # dump the IR module into a file
naga my_shader.spv my_shader.metal --flow-dir flow-dir # convert the SPV to Metal, also dump the SPIR-V flow graph to `flow-dir`
naga my_shader.wgsl my_shader.vert --profile es310 # convert the WGSL to GLSL vertex stage under ES 3.20 profile
```

As naga includes a default binary target, you can also use `cargo run` without installation. This is useful when you develop naga itself, or investigate the behavior of naga at a specific commit (e.g. [wgpu](https://github.com/gfx-rs/wgpu) might pin a different version of naga than the `HEAD` of this repository).

```bash
cargo run my_shader.wgsl
```

## Development workflow

The main instrument aiding the development is the good old `cargo test --all-features --workspace`,
which will run the unit tests, and also update all the snapshots. You'll see these
changes in git before committing the code.

If working on a particular front-end or back-end, it may be convenient to
enable the relevant features in `Cargo.toml`, e.g.
```toml
default = ["spv-out"] #TEMP!
```
This allows IDE basic checks to report errors there, unless your IDE is sufficiently configurable already.

Finally, when changes to the snapshots are made, we should verify that the produced shaders
are indeed valid for the target platforms they are compiled for. We automate this with `Makefile`:
```bash
make validate-spv # for Vulkan shaders, requires SPIRV-Tools installed
make validate-msl # for Metal shaders, requires XCode command-line tools installed
make validate-glsl # for OpenGL shaders, requires GLSLang installed
make validate-dot # for dot files, requires GraphViz installed
make validate-wgsl # for WGSL shaders
make validate-hlsl-dxc # for HLSL shaders via DXC
make validate-hlsl-fxc # for HLSL shaders via FXC
# Note: HLSL Make targets make use of the "sh" shell. This is not the default shell in Windows.
```


================================================
FILE: lib/naga/aa.metal
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct _mslBufferSizes {
    uint size1;
    uint size2;
    uint size3;
    uint size4;
    uint size6;
    uint size7;
};

struct Node {
    metal::float3 position;
    metal::float3 force;
    metal::packed_float3 prev_force;
    metal::atomic_uint mass;
};
struct Uniforms {
    uint frame_num;
};
struct Bound {
    metal::float3 bound_min;
    metal::float3 bound_max;
};
struct BHTree {
    metal::atomic_uint max_depth;
    metal::atomic_uint bottom;
    float radius;
};
struct BHTreeNode {
    metal::packed_float3 position;
    int _empty;
    metal::atomic_int mass;
    int count;
    metal::atomic_int start;
    int sort;
};
typedef Node type_6[1];
typedef metal::uint2 type_8[1];
typedef metal::atomic_int type_9[1];
typedef Bound type_10[1];
typedef BHTreeNode type_11[1];
struct type_13 {
    metal::float3 inner[256];
};
struct type_14 {
    uint inner[8];
};
struct type_15 {
    int inner[8];
};
struct type_17 {
    uint inner[48];
};
struct type_18 {
    float inner[48];
};

uint hash(
    uint s_1
) {
    uint t = {};
    t = s_1;
    uint _e10 = t;
    t = _e10 ^ 2747636419u;
    uint _e13 = t;
    t = _e13 * 2654435769u;
    uint _e16 = t;
    uint _e17 = t;
    t = _e16 ^ (_e17 >> 16u);
    uint _e21 = t;
    t = _e21 * 2654435769u;
    uint _e24 = t;
    uint _e25 = t;
    t = _e24 ^ (_e25 >> 16u);
    uint _e29 = t;
    t = _e29 * 2654435769u;
    uint _e32 = t;
    return _e32;
}

float random(
    uint seed
) {
    uint _e9 = hash(seed);
    return static_cast<float>(_e9) / 4294967296.0;
}

float random_xy(
    uint seed_x,
    uint seed_y
) {
    uint _e10 = hash(seed_x);
    uint _e12 = hash(_e10 + seed_y);
    return static_cast<float>(_e12) / 4294967296.0;
}

void atomic_add_f32_(
    uint springIndex,
    float updateValue,
    device type_9& springForceSrc,
    constant _mslBufferSizes& _buffer_sizes
) {
    int new_u32_ = {};
    int assumed = 0;
    int origin = {};
    new_u32_ = as_type<int>(updateValue);
    while(true) {
        if (true) {
        } else {
            break;
        }
        int _e17 = assumed;
        int _e18 = new_u32_;
        metal::atomic_compare_exchange_weak_explicit(&springForceSrc[springIndex], &_e17, _e18, metal::memory_order_relaxed, metal::memory_order_relaxed);
        origin = _e17;
        int _e20 = origin;
        int _e21 = assumed;
        if (_e20 == _e21) {
            break;
        }
        int _e23 = origin;
        assumed = _e23;
        int _e24 = origin;
        new_u32_ = as_type<int>(as_type<float>(_e24) + updateValue);
    }
    return;
}

struct gen_nodeInput {
};
kernel void gen_node(
  metal::uint3 global_invocation_id [[thread_position_in_grid]]
, constant Uniforms& uniforms [[user(fake0)]]
, device type_6& nodeSrc [[user(fake0)]]
, device type_9& springForceSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 vPos = {};
    uint total = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_5 = global_invocation_id.x;
    if (index_5 >= total) {
        return;
    }
    metal::float3 _e14 = nodeSrc[index_5].position;
    vPos = _e14;
    uint _e20 = uniforms.frame_num;
    float _e23 = random_xy(index_5, 0u + (3u * _e20));
    vPos.x = (_e23 * 2.0) - 1.0;
    uint _e32 = uniforms.frame_num;
    float _e35 = random_xy(index_5, 1u + (3u * _e32));
    vPos.y = (_e35 * 2.0) - 1.0;
    uint _e44 = uniforms.frame_num;
    float _e47 = random_xy(index_5, 2u + (3u * _e44));
    vPos.z = (_e47 * 2.0) - 1.0;
    metal::float3 _e54 = vPos;
    nodeSrc[index_5].position = _e54;
    nodeSrc[index_5].force = metal::float3(0.0);
    nodeSrc[index_5].prev_force = metal::float3(0.0);
    metal::atomic_store_explicit(&nodeSrc[index_5].mass, 1u, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_5 * 3u) + 0u], 0, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_5 * 3u) + 1u], 0, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_5 * 3u) + 2u], 0, metal::memory_order_relaxed);
    return;
}


struct cal_massInput {
};
kernel void cal_mass(
  metal::uint3 global_invocation_id_1 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device type_8 const& edgeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::uint2 edge = {};
    uint total_1 = 1 + (_buffer_sizes.size2 - 0 - 8) / 8;
    uint index_6 = global_invocation_id_1.x;
    if (index_6 >= total_1) {
        return;
    }
    metal::uint2 _e13 = edgeSrc[index_6];
    edge = _e13;
    uint source_node = edge.x;
    uint target_node = edge.y;
    uint _e24 = metal::atomic_fetch_add_explicit(&nodeSrc[source_node].mass, 1u, metal::memory_order_relaxed);
    uint _e28 = metal::atomic_fetch_add_explicit(&nodeSrc[target_node].mass, 1u, metal::memory_order_relaxed);
    return;
}


struct cal_gravity_forceInput {
};
kernel void cal_gravity_force(
  metal::uint3 global_invocation_id_2 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    float gravity_force = {};
    uint total_2 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_7 = global_invocation_id_2.x;
    if (index_7 >= total_2) {
        return;
    }
    metal::float3 pos_3 = nodeSrc[index_7].position;
    uint _e19 = metal::atomic_load_explicit(&nodeSrc[index_7].mass, metal::memory_order_relaxed);
    float mass = static_cast<float>(_e19);
    if (true) {
        gravity_force = 0.25 * mass;
    } else {
        if (((pos_3.x != 0.0) || (pos_3.y != 0.0)) || (pos_3.z != 0.0)) {
            gravity_force = (0.25 * mass) * metal::rsqrt(metal::dot(pos_3, pos_3));
        } else {
            gravity_force = 0.0;
        }
    }
    metal::float3 _e41 = nodeSrc[index_7].force;
    nodeSrc[index_7].force = _e41 + (-pos_3 * 0.25);
    return;
}


struct attractive_forceInput {
};
kernel void attractive_force(
  metal::uint3 global_invocation_id_3 [[thread_position_in_grid]]
, device type_6 const& nodeSrc [[user(fake0)]]
, device type_8 const& edgeSrc [[user(fake0)]]
, device type_9& springForceSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::uint2 edge_1 = {};
    metal::float3 dir = {};
    uint total_3 = 1 + (_buffer_sizes.size2 - 0 - 8) / 8;
    uint index_8 = global_invocation_id_3.x;
    if (index_8 >= total_3) {
        return;
    }
    metal::uint2 _e13 = edgeSrc[index_8];
    edge_1 = _e13;
    uint source_node_1 = edge_1.x;
    uint target_node_1 = edge_1.y;
    metal::float3 _e23 = nodeSrc[target_node_1].position;
    metal::float3 _e26 = nodeSrc[source_node_1].position;
    dir = _e23 - _e26;
    metal::float3 _e29 = dir;
    dir = _e29 * 0.009999999776482582;
    float _e37 = dir.x;
    atomic_add_f32_((source_node_1 * 3u) + 0u, _e37, springForceSrc, _buffer_sizes);
    float _e43 = dir.y;
    atomic_add_f32_((source_node_1 * 3u) + 1u, _e43, springForceSrc, _buffer_sizes);
    float _e49 = dir.z;
    atomic_add_f32_((source_node_1 * 3u) + 2u, _e49, springForceSrc, _buffer_sizes);
    float _e55 = dir.x;
    atomic_add_f32_((target_node_1 * 3u) + 0u, -_e55, springForceSrc, _buffer_sizes);
    float _e62 = dir.y;
    atomic_add_f32_((target_node_1 * 3u) + 1u, -_e62, springForceSrc, _buffer_sizes);
    float _e69 = dir.z;
    atomic_add_f32_((target_node_1 * 3u) + 2u, -_e69, springForceSrc, _buffer_sizes);
    return;
}


struct reduction_boundingInput {
};
kernel void reduction_bounding(
  uint local_index [[thread_index_in_threadgroup]]
, metal::uint3 global_id [[thread_position_in_grid]]
, metal::uint3 group_id [[threadgroup_position_in_grid]]
, device type_6 const& nodeSrc [[user(fake0)]]
, device type_10& bounding [[user(fake0)]]
, threadgroup type_13& smin
, threadgroup type_13& smax
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint index = {};
    uint s = {};
    index = global_id.x;
    uint total_4 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint _e16 = index;
    if (_e16 >= total_4) {
        index = total_4 - 1u;
    }
    uint _e21 = index;
    metal::float3 _e24 = nodeSrc[_e21].position;
    smin.inner[local_index] = _e24;
    uint _e26 = index;
    metal::float3 _e29 = nodeSrc[_e26].position;
    smax.inner[local_index] = _e29;
    metal::threadgroup_barrier(metal::mem_flags::mem_threadgroup);
    s = 256u / 2u;
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            uint _e37 = s;
            s = _e37 >> 1u;
        }
        loop_init = false;
        uint _e34 = s;
        if (_e34 > 0u) {
        } else {
            break;
        }
        uint _e40 = s;
        if (local_index < _e40) {
            uint _e42 = s;
            uint k = local_index + _e42;
            metal::float3 _e46 = smin.inner[local_index];
            metal::float3 _e48 = smin.inner[k];
            smin.inner[local_index] = metal::min(_e46, _e48);
            metal::float3 _e52 = smax.inner[local_index];
            metal::float3 _e54 = smax.inner[k];
            smax.inner[local_index] = metal::max(_e52, _e54);
        }
        metal::threadgroup_barrier(metal::mem_flags::mem_threadgroup);
    }
    if (local_index == 0u) {
        metal::float3 _e63 = smin.inner[0];
        bounding[group_id.x].bound_min = _e63;
        metal::float3 _e69 = smax.inner[0];
        bounding[group_id.x].bound_max = _e69;
        return;
    } else {
        return;
    }
}


kernel void bounding_box(
  device type_6 const& nodeSrc [[user(fake0)]]
, device type_10& bounding [[user(fake0)]]
, device BHTree& bhTree [[user(fake0)]]
, device type_11& treeNode [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 bound_min_min = {};
    metal::float3 bound_max_max = {};
    uint i = 0u;
    metal::float3 _e13 = bounding[0].bound_min;
    bound_min_min = _e13;
    metal::float3 _e18 = bounding[0].bound_max;
    bound_max_max = _e18;
    uint node_group_count = static_cast<uint>(metal::ceil(static_cast<float>(1 + (_buffer_sizes.size1 - 0 - 48) / 48) / 256.0));
    bool loop_init_1 = true;
    while(true) {
        if (!loop_init_1) {
            uint _e30 = i;
            i = _e30 + 1u;
        }
        loop_init_1 = false;
        uint _e28 = i;
        if (_e28 < node_group_count) {
        } else {
            break;
        }
        metal::float3 _e33 = bound_min_min;
        uint _e34 = i;
        metal::float3 _e37 = bounding[_e34].bound_min;
        bound_min_min = metal::min(_e33, _e37);
        metal::float3 _e39 = bound_max_max;
        uint _e40 = i;
        metal::float3 _e43 = bounding[_e40].bound_max;
        bound_max_max = metal::max(_e39, _e43);
    }
    metal::float3 _e48 = bound_min_min;
    bounding[0].bound_min = _e48;
    metal::float3 _e52 = bound_max_max;
    bounding[0].bound_max = _e52;
    metal::float3 _e53 = bound_max_max;
    metal::float3 _e54 = bound_min_min;
    metal::float3 box = _e53 - _e54;
    uint tree_node_count = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    bhTree.radius = metal::max(metal::max(box.x, box.y), box.z) * 0.5;
    metal::atomic_store_explicit(&bhTree.bottom, tree_node_count, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&bhTree.max_depth, 0u, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&treeNode[tree_node_count].mass, -1, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&treeNode[tree_node_count].start, 0, metal::memory_order_relaxed);
    metal::float3 _e78 = bound_min_min;
    metal::float3 _e79 = bound_max_max;
    treeNode[tree_node_count].position = (_e78 + _e79) * 0.5;
    treeNode[tree_node_count].count = -1;
    treeNode[tree_node_count].sort = 0;
    return;
}


struct clear_1_Input {
};
kernel void clear_1_(
  metal::uint3 global_invocation_id_4 [[thread_position_in_grid]]
, device type_11 const& treeNode [[user(fake0)]]
, device type_9& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint i_1 = 0u;
    uint total_5 = 1 + (_buffer_sizes.size6 - 0 - 32) / 32;
    uint index_9 = global_invocation_id_4.x;
    if (index_9 >= total_5) {
        return;
    }
    bool loop_init_2 = true;
    while(true) {
        if (!loop_init_2) {
            uint _e19 = i_1;
            i_1 = _e19 + 1u;
        }
        loop_init_2 = false;
        uint _e16 = i_1;
        if (_e16 < 8u) {
        } else {
            break;
        }
        uint _e24 = i_1;
        metal::atomic_store_explicit(&treeChild[(index_9 * 8u) + _e24], -1, metal::memory_order_relaxed);
    }
    return;
}


struct tree_buildingInput {
};
kernel void tree_building(
  metal::uint3 global_invocation_id_5 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device BHTree& bhTree [[user(fake0)]]
, device type_11 const& treeNode [[user(fake0)]]
, device type_9& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint index_1 = {};
    int skip = 1;
    metal::float3 pos = {};
    metal::float3 dp = {};
    metal::float3 rdp = {};
    uint n = {};
    uint depth = 1u;
    uint local_max_depth = 1u;
    uint j = 0u;
    float root_r = {};
    float r = {};
    int limit = 10000;
    int ch = {};
    int locked_ch = {};
    int v = {};
    int v_1 = {};
    index_1 = global_invocation_id_5.x;
    uint node_count = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint tree_node_count_1 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    metal::float3 root_pos = treeNode[tree_node_count_1].position;
    uint inc = metal::min(node_count, 16384u);
    n = tree_node_count_1;
    float _e35 = bhTree.radius;
    root_r = _e35;
    float _e37 = root_r;
    r = _e37 * 0.5;
    while(true) {
        uint _e43 = index_1;
        if (_e43 < node_count) {
        } else {
            break;
        }
        int _e45 = limit;
        limit = _e45 - 1;
        int _e48 = limit;
        if (_e48 < 0) {
            return;
        }
        int _e51 = skip;
        if (_e51 != 0) {
            skip = 0;
            uint _e55 = index_1;
            metal::float3 _e58 = nodeSrc[_e55].position;
            pos = _e58;
            n = tree_node_count_1;
            float _e59 = root_r;
            r = _e59 * 0.5;
            depth = 1u;
            metal::float3 _e63 = pos;
            metal::float3 compare = metal::step(root_pos, _e63);
            j = (static_cast<uint>(compare.x) << 0u) | ((static_cast<uint>(compare.y) << 1u) + (static_cast<uint>(compare.z) << 2u));
            float _e79 = r;
            float _e82 = r;
            dp = metal::float3(-_e79) + (compare * (2.0 * _e82));
            metal::float3 _e87 = dp;
            rdp = root_pos + _e87;
        }
        uint _e89 = n;
        uint _e92 = j;
        int _e95 = metal::atomic_load_explicit(&treeChild[(_e89 * 8u) + _e92], metal::memory_order_relaxed);
        ch = _e95;
        while(true) {
            int _e97 = ch;
            if (_e97 >= static_cast<int>(node_count)) {
            } else {
                break;
            }
            int _e100 = ch;
            n = static_cast<uint>(_e100);
            uint _e102 = depth;
            depth = _e102 + 1u;
            float _e105 = r;
            r = _e105 * 0.5;
            metal::float3 _e108 = rdp;
            metal::float3 _e109 = pos;
            metal::float3 compare_1 = metal::step(_e108, _e109);
            j = (static_cast<uint>(compare_1.x) << 0u) | ((static_cast<uint>(compare_1.y) << 1u) + (static_cast<uint>(compare_1.z) << 2u));
            float _e125 = r;
            float _e128 = r;
            dp = metal::float3(-_e125) + (compare_1 * (2.0 * _e128));
            metal::float3 _e133 = rdp;
            metal::float3 _e134 = dp;
            rdp = _e133 + _e134;
            uint _e136 = n;
            uint _e139 = j;
            int _e142 = metal::atomic_load_explicit(&treeChild[(_e136 * 8u) + _e139], metal::memory_order_relaxed);
            ch = _e142;
        }
        uint _e143 = n;
        uint _e146 = j;
        uint locked = (_e143 * 8u) + _e146;
        locked_ch = -1;
        int _e150 = ch;
        if (_e150 != -2) {
            int _e153 = ch;
            if (_e153 == -1) {
                v = -1;
                int _e159 = v;
                uint _e160 = index_1;
                metal::atomic_compare_exchange_weak_explicit(&treeChild[locked], &_e159, static_cast<int>(_e160), metal::memory_order_relaxed, metal::memory_order_relaxed);
                if (_e159 == -1) {
                    uint _e165 = depth;
                    uint _e166 = local_max_depth;
                    local_max_depth = metal::max(_e165, _e166);
                    uint _e168 = index_1;
                    index_1 = _e168 + inc;
                    skip = 1;
                } else {
                    skip = 0;
                }
            } else {
                int _e172 = ch;
                v_1 = _e172;
                int _e175 = v_1;
                metal::atomic_compare_exchange_weak_explicit(&treeChild[locked], &_e175, -2, metal::memory_order_relaxed, metal::memory_order_relaxed);
                int _e178 = ch;
                if (_e178 == _e175) {
                    int _e180 = ch;
                    metal::float3 _e183 = nodeSrc[_e180].position;
                    metal::float3 _e184 = pos;
                    if (metal::all(_e183 == _e184)) {
                        uint _e187 = index_1;
                        metal::float3 _e190 = nodeSrc[_e187].position;
                        nodeSrc[_e187].position = _e190 + metal::float3(0.10000000149011612, -0.05000000074505806, 0.10000000149011612);
                        skip = 0;
                        int _e198 = ch;
                        metal::atomic_store_explicit(&treeChild[locked], _e198, metal::memory_order_relaxed);
                        break;
                    }
                    locked_ch = -1;
                    while(true) {
                        uint _e202 = metal::atomic_fetch_sub_explicit(&bhTree.bottom, 1u, metal::memory_order_relaxed);
                        uint cell = _e202 - 1u;
                        if (cell <= node_count) {
                            return;
                        }
                        int _e206 = locked_ch;
                        if (_e206 != -1) {
                            uint _e209 = n;
                            uint _e212 = j;
                            metal::atomic_store_explicit(&treeChild[(_e209 * 8u) + _e212], static_cast<int>(cell), metal::memory_order_relaxed);
                        }
                        int _e216 = locked_ch;
                        locked_ch = metal::max(_e216, static_cast<int>(cell));
                        uint _e219 = depth;
                        depth = _e219 + 1u;
                        n = cell;
                        float _e222 = r;
                        r = _e222 * 0.5;
                        metal::float3 _e225 = rdp;
                        int _e226 = ch;
                        metal::float3 _e229 = nodeSrc[_e226].position;
                        metal::float3 compare_2 = metal::step(_e225, _e229);
                        j = (static_cast<uint>(compare_2.x) << 0u) | ((static_cast<uint>(compare_2.y) << 1u) + (static_cast<uint>(compare_2.z) << 2u));
                        uint _e247 = j;
                        int _e250 = ch;
                        metal::atomic_store_explicit(&treeChild[(cell * 8u) + _e247], _e250, metal::memory_order_relaxed);
                        metal::float3 _e251 = rdp;
                        metal::float3 _e252 = pos;
                        metal::float3 compare_3 = metal::step(_e251, _e252);
                        j = (static_cast<uint>(compare_3.x) << 0u) | ((static_cast<uint>(compare_3.y) << 1u) + (static_cast<uint>(compare_3.z) << 2u));
                        float _e268 = r;
                        float _e271 = r;
                        dp = metal::float3(-_e268) + (compare_3 * (2.0 * _e271));
                        metal::float3 _e276 = rdp;
                        metal::float3 _e277 = dp;
                        rdp = _e276 + _e277;
                        uint _e279 = n;
                        uint _e282 = j;
                        int _e285 = metal::atomic_load_explicit(&treeChild[(_e279 * 8u) + _e282], metal::memory_order_relaxed);
                        ch = _e285;
                        int _e286 = ch;
                        if (_e286 < 0) {
                            break;
                        }
                    }
                    uint _e289 = n;
                    uint _e292 = j;
                    uint _e295 = index_1;
                    metal::atomic_store_explicit(&treeChild[(_e289 * 8u) + _e292], static_cast<int>(_e295), metal::memory_order_relaxed);
                    uint _e297 = depth;
                    uint _e298 = local_max_depth;
                    local_max_depth = metal::max(_e297, _e298);
                    uint _e300 = index_1;
                    index_1 = _e300 + inc;
                    skip = 2;
                }
            }
        }
        metal::threadgroup_barrier(metal::mem_flags::mem_threadgroup);
        int _e303 = skip;
        if (_e303 == 2) {
            int _e307 = locked_ch;
            metal::atomic_store_explicit(&treeChild[locked], _e307, metal::memory_order_relaxed);
        }
    }
    uint _e309 = local_max_depth;
    uint _e310 = metal::atomic_fetch_max_explicit(&bhTree.max_depth, _e309, metal::memory_order_relaxed);
    return;
}


struct clear_2_Input {
};
kernel void clear_2_(
  metal::uint3 global_invocation_id_6 [[thread_position_in_grid]]
, device type_11& treeNode [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint total_6 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    uint index_10 = global_invocation_id_6.x;
    if (index_10 >= total_6) {
        return;
    }
    treeNode[index_10].position = metal::float3(0.0);
    treeNode[index_10].count = -1;
    treeNode[index_10].sort = 0;
    metal::atomic_store_explicit(&treeNode[index_10].start, -1, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&treeNode[index_10].mass, -1, metal::memory_order_relaxed);
    return;
}


struct summarizationInput {
};
kernel void summarization(
  metal::uint3 global_invocation_id_7 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device BHTree const& bhTree [[user(fake0)]]
, device type_11& treeNode [[user(fake0)]]
, device type_9 const& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint index_2 = {};
    int cm = 0;
    type_14 schild = {};
    type_15 smass = {};
    int j_1 = 0;
    uint ch_1 = {};
    uint i_2 = {};
    metal::float3 pos_1 = {};
    int cnt = {};
    int j_2 = 0;
    bool flag = false;
    uint i_3 = {};
    uint i_4 = {};
    metal::float3 pos_2 = {};
    int cnt_1 = {};
    uint i_5 = {};
    uint bottom = metal::atomic_load_explicit(&bhTree.bottom, metal::memory_order_relaxed);
    uint tree_node_count_2 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    uint node_count_1 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint inc_1 = metal::min(node_count_1, 16384u);
    index_2 = static_cast<uint>((static_cast<int>(bottom) & -32) + static_cast<int>(global_invocation_id_7.x));
    uint _e27 = index_2;
    if (_e27 < bottom) {
        uint _e29 = index_2;
        index_2 = _e29 + inc_1;
    }
    uint restart = index_2;
    bool loop_init_3 = true;
    while(true) {
        if (!loop_init_3) {
            int _e41 = j_1;
            j_1 = _e41 + 1;
        }
        loop_init_3 = false;
        int _e38 = j_1;
        if (_e38 < 5) {
        } else {
            break;
        }
        while(true) {
            uint _e44 = index_2;
            if (_e44 <= tree_node_count_2) {
            } else {
                break;
            }
            uint _e46 = index_2;
            int _e49 = metal::atomic_load_explicit(&treeNode[_e46].mass, metal::memory_order_relaxed);
            if (_e49 < 0) {
                ch_1 = 0u;
                i_2 = 0u;
                i_2 = 0u;
                bool loop_init_4 = true;
                while(true) {
                    if (!loop_init_4) {
                        uint _e60 = i_2;
                        i_2 = _e60 + 1u;
                    }
                    loop_init_4 = false;
                    uint _e57 = i_2;
                    if (_e57 < 8u) {
                    } else {
                        break;
                    }
                    uint _e63 = index_2;
                    uint _e66 = i_2;
                    int _e69 = metal::atomic_load_explicit(&treeChild[(_e63 * 8u) + _e66], metal::memory_order_relaxed);
                    ch_1 = static_cast<uint>(_e69);
                    uint _e71 = i_2;
                    uint _e73 = ch_1;
                    schild.inner[_e71] = _e73;
                    uint _e74 = i_2;
                    uint _e76 = ch_1;
                    int _e79 = metal::atomic_load_explicit(&treeNode[_e76].mass, metal::memory_order_relaxed);
                    smass.inner[_e74] = _e79;
                    uint _e80 = ch_1;
                    uint _e82 = i_2;
                    int _e84 = smass.inner[_e82];
                    if ((_e80 >= node_count_1) && (_e84 < 0)) {
                        break;
                    }
                }
                uint _e88 = i_2;
                if (_e88 == 8u) {
                    pos_1 = metal::float3(0.0);
                    cnt = 0;
                    i_2 = 0u;
                    bool loop_init_5 = true;
                    while(true) {
                        if (!loop_init_5) {
                            uint _e100 = i_2;
                            i_2 = _e100 + 1u;
                        }
                        loop_init_5 = false;
                        uint _e97 = i_2;
                        if (_e97 < 8u) {
                        } else {
                            break;
                        }
                        uint _e103 = i_2;
                        uint _e105 = schild.inner[_e103];
                        ch_1 = _e105;
                        uint _e106 = ch_1;
                        if (_e106 >= node_count_1) {
                            uint _e108 = i_2;
                            int m = smass.inner[_e108];
                            int _e111 = cnt;
                            uint _e112 = ch_1;
                            int _e115 = treeNode[_e112].count;
                            cnt = _e111 + _e115;
                            metal::float3 _e117 = pos_1;
                            uint _e118 = ch_1;
                            metal::float3 _e121 = treeNode[_e118].position;
                            pos_1 = _e117 + (_e121 * static_cast<float>(m));
                            int _e125 = cm;
                            cm = _e125 + m;
                        } else {
                            uint _e127 = ch_1;
                            uint _e130 = metal::atomic_load_explicit(&nodeSrc[_e127].mass, metal::memory_order_relaxed);
                            int m_1 = static_cast<int>(_e130);
                            int _e132 = cnt;
                            cnt = _e132 + 1;
                            metal::float3 _e135 = pos_1;
                            uint _e136 = ch_1;
                            metal::float3 _e139 = nodeSrc[_e136].position;
                            pos_1 = _e135 + (_e139 * static_cast<float>(m_1));
                            int _e143 = cm;
                            cm = _e143 + m_1;
                        }
                    }
                    uint _e145 = index_2;
                    int _e148 = cnt;
                    treeNode[_e145].count = _e148;
                    uint _e149 = index_2;
                    metal::float3 _e152 = pos_1;
                    int _e153 = cm;
                    treeNode[_e149].position = _e152 / metal::float3(static_cast<float>(_e153));
                    uint _e157 = index_2;
                    int _e160 = cm;
                    metal::atomic_store_explicit(&treeNode[_e157].mass, _e160, metal::memory_order_relaxed);
                }
            }
            uint _e161 = index_2;
            index_2 = _e161 + inc_1;
        }
        index_2 = restart;
    }
    while(true) {
        uint _e167 = index_2;
        if (_e167 <= tree_node_count_2) {
        } else {
            break;
        }
        uint _e169 = index_2;
        uint _e173 = index_2;
        uint _e175 = index_2;
        int _e178 = metal::atomic_load_explicit(&treeNode[_e175].mass, metal::memory_order_relaxed);
        if (_e169 < node_count_1) {
            uint _e171 = index_2;
            index_2 = _e171 + inc_1;
        } else {
            if ((_e173 >= node_count_1) && (_e178 >= 0)) {
                uint _e182 = index_2;
                index_2 = _e182 + inc_1;
            } else {
                int _e184 = j_2;
                if (_e184 == 0) {
                    j_2 = 8;
                    i_3 = 0u;
                    bool loop_init_6 = true;
                    while(true) {
                        if (!loop_init_6) {
                            uint _e193 = i_3;
                            i_3 = _e193 + 1u;
                        }
                        loop_init_6 = false;
                        uint _e190 = i_3;
                        if (_e190 < 8u) {
                        } else {
                            break;
                        }
                        uint _e196 = index_2;
                        uint _e199 = i_3;
                        int _e202 = metal::atomic_load_explicit(&treeChild[(_e196 * 8u) + _e199], metal::memory_order_relaxed);
                        uint ch_2 = static_cast<uint>(_e202);
                        uint _e204 = i_3;
                        schild.inner[_e204] = ch_2;
                        uint _e206 = i_3;
                        int _e210 = metal::atomic_load_explicit(&treeNode[ch_2].mass, metal::memory_order_relaxed);
                        smass.inner[_e206] = _e210;
                        uint _e212 = i_3;
                        int _e214 = smass.inner[_e212];
                        if ((ch_2 < node_count_1) || (_e214 >= 0)) {
                            int _e218 = j_2;
                            j_2 = _e218 - 1;
                        }
                    }
                } else {
                    j_2 = 8;
                    i_4 = 0u;
                    bool loop_init_7 = true;
                    while(true) {
                        if (!loop_init_7) {
                            uint _e227 = i_4;
                            i_4 = _e227 + 1u;
                        }
                        loop_init_7 = false;
                        uint _e224 = i_4;
                        if (_e224 < 8u) {
                        } else {
                            break;
                        }
                        uint _e230 = i_4;
                        uint ch_3 = schild.inner[_e230];
                        uint _e233 = i_4;
                        int old_mass = smass.inner[_e233];
                        uint _e236 = i_4;
                        int _e240 = metal::atomic_load_explicit(&treeNode[ch_3].mass, metal::memory_order_relaxed);
                        smass.inner[_e236] = _e240;
                        uint _e245 = i_4;
                        int _e247 = smass.inner[_e245];
                        if (((ch_3 < node_count_1) || (old_mass >= 0)) || (_e247 >= 0)) {
                            int _e251 = j_2;
                            j_2 = _e251 - 1;
                        }
                    }
                }
                int _e254 = j_2;
                if (_e254 == 0) {
                    cm = 0;
                    pos_2 = metal::float3(0.0);
                    cnt_1 = 0;
                    i_5 = 0u;
                    bool loop_init_8 = true;
                    while(true) {
                        if (!loop_init_8) {
                            uint _e268 = i_5;
                            i_5 = _e268 + 1u;
                        }
                        loop_init_8 = false;
                        uint _e265 = i_5;
                        if (_e265 < 8u) {
                        } else {
                            break;
                        }
                        uint _e271 = i_5;
                        uint ch_4 = schild.inner[_e271];
                        if (ch_4 >= node_count_1) {
                            uint _e275 = i_5;
                            int m_2 = smass.inner[_e275];
                            int _e278 = cnt_1;
                            int _e281 = treeNode[ch_4].count;
                            cnt_1 = _e278 + _e281;
                            metal::float3 _e283 = pos_2;
                            metal::float3 _e286 = treeNode[ch_4].position;
                            pos_2 = _e283 + (_e286 * static_cast<float>(m_2));
                            int _e290 = cm;
                            cm = _e290 + m_2;
                        } else {
                            uint _e294 = metal::atomic_load_explicit(&nodeSrc[ch_4].mass, metal::memory_order_relaxed);
                            int m_3 = static_cast<int>(_e294);
                            int _e296 = cnt_1;
                            cnt_1 = _e296 + 1;
                            metal::float3 _e299 = pos_2;
                            metal::float3 _e302 = nodeSrc[ch_4].position;
                            pos_2 = _e299 + (_e302 * static_cast<float>(m_3));
                            int _e306 = cm;
                            cm = _e306 + m_3;
                        }
                    }
                    uint _e308 = index_2;
                    int _e311 = cnt_1;
                    treeNode[_e308].count = _e311;
                    uint _e312 = index_2;
                    metal::float3 _e315 = pos_2;
                    int _e316 = cm;
                    treeNode[_e312].position = _e315 / metal::float3(static_cast<float>(_e316));
                    flag = true;
                }
            }
        }
        bool _e321 = flag;
        if (_e321) {
            uint _e322 = index_2;
            if (_e322 < node_count_1) {
                uint _e324 = index_2;
                int _e327 = cm;
                metal::atomic_store_explicit(&nodeSrc[_e324].mass, static_cast<uint>(_e327), metal::memory_order_relaxed);
            } else {
                uint _e329 = index_2;
                int _e332 = cm;
                metal::atomic_store_explicit(&treeNode[_e329].mass, _e332, metal::memory_order_relaxed);
            }
            uint _e333 = index_2;
            index_2 = _e333 + inc_1;
            flag = false;
        }
    }
    return;
}


struct sortInput {
};
kernel void sort(
  metal::uint3 global_invocation_id_8 [[thread_position_in_grid]]
, device type_6 const& nodeSrc [[user(fake0)]]
, device BHTree const& bhTree [[user(fake0)]]
, device type_11& treeNode [[user(fake0)]]
, device type_9& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint index_3 = {};
    int limit_1 = 1000;
    int start = {};
    uint j_3 = {};
    uint i_6 = {};
    uint tree_node_count_3 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    uint bottom_1 = metal::atomic_load_explicit(&bhTree.bottom, metal::memory_order_relaxed);
    uint node_count_2 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint inc_2 = metal::min(node_count_2, 16384u);
    index_3 = ((tree_node_count_3 + 1u) - inc_2) + global_invocation_id_8.x;
    while(true) {
        uint _e27 = index_3;
        if (_e27 >= bottom_1) {
        } else {
            break;
        }
        int _e29 = limit_1;
        limit_1 = _e29 - 1;
        int _e32 = limit_1;
        if (_e32 < 0) {
            uint _e35 = index_3;
            metal::atomic_store_explicit(&treeChild[_e35], 1000, metal::memory_order_relaxed);
            metal::atomic_store_explicit(&treeChild[0], 1000, metal::memory_order_relaxed);
            return;
        }
        metal::threadgroup_barrier(metal::mem_flags::mem_threadgroup);
        uint _e41 = index_3;
        int _e44 = metal::atomic_load_explicit(&treeNode[_e41].start, metal::memory_order_relaxed);
        start = _e44;
        int _e46 = start;
        if (_e46 >= 0) {
            j_3 = 0u;
            i_6 = 0u;
            bool loop_init_9 = true;
            while(true) {
                if (!loop_init_9) {
                    uint _e56 = i_6;
                    i_6 = _e56 + 1u;
                }
                loop_init_9 = false;
                uint _e53 = i_6;
                if (_e53 < 8u) {
                } else {
                    break;
                }
                uint _e59 = index_3;
                uint _e62 = i_6;
                int ch_5 = metal::atomic_load_explicit(&treeChild[(_e59 * 8u) + _e62], metal::memory_order_relaxed);
                if (ch_5 >= 0) {
                    uint _e68 = i_6;
                    uint _e69 = j_3;
                    if (_e68 != _e69) {
                        uint _e71 = index_3;
                        uint _e74 = i_6;
                        metal::atomic_store_explicit(&treeChild[(_e71 * 8u) + _e74], -1, metal::memory_order_relaxed);
                        uint _e78 = index_3;
                        uint _e81 = j_3;
                        metal::atomic_store_explicit(&treeChild[(_e78 * 8u) + _e81], ch_5, metal::memory_order_relaxed);
                    }
                    uint _e84 = j_3;
                    j_3 = _e84 + 1u;
                    if (ch_5 >= static_cast<int>(node_count_2)) {
                        int _e91 = start;
                        metal::atomic_store_explicit(&treeNode[ch_5].start, _e91, metal::memory_order_relaxed);
                        int _e92 = start;
                        int _e95 = treeNode[ch_5].count;
                        start = _e92 + _e95;
                    } else {
                        int _e97 = start;
                        treeNode[_e97].sort = ch_5;
                        int _e100 = start;
                        start = _e100 + 1;
                    }
                }
            }
            uint _e103 = index_3;
            if (_e103 < inc_2) {
                break;
            }
            uint _e105 = index_3;
            index_3 = _e105 - inc_2;
        }
    }
    return;
}


struct electron_forceInput {
};
kernel void electron_force(
  metal::uint3 global_invocation_id_9 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device BHTree const& bhTree [[user(fake0)]]
, device type_11 const& treeNode [[user(fake0)]]
, device type_9 const& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    type_17 spos = {};
    type_17 snode = {};
    type_18 sdq = {};
    uint j_4 = 1u;
    uint index_4 = {};
    metal::float3 af = {};
    uint depth_1 = {};
    uint pd = {};
    uint nd = {};
    metal::float3 dp_1 = {};
    uint tree_node_count_4 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    uint node_count_3 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint inc_3 = metal::min(node_count_3, 16384u);
    float epssq = 0.05000000074505806 * 0.05000000074505806;
    float _e26 = bhTree.radius;
    float diameter = _e26 * 2.0;
    uint max_depth = metal::atomic_load_explicit(&bhTree.max_depth, metal::memory_order_relaxed);
    sdq.inner[0] = (diameter * diameter) * 1.0;
    bool loop_init_10 = true;
    while(true) {
        if (!loop_init_10) {
            uint _e39 = j_4;
            j_4 = _e39 + 1u;
        }
        loop_init_10 = false;
        uint _e37 = j_4;
        if (_e37 < max_depth) {
        } else {
            break;
        }
        uint _e42 = j_4;
        uint _e44 = j_4;
        float _e48 = sdq.inner[_e44 - 1u];
        sdq.inner[_e42] = _e48 * 0.25;
        uint _e51 = j_4;
        float _e55 = sdq.inner[_e51 - 1u];
        sdq.inner[_e51 - 1u] = _e55 + epssq;
    }
    float _e60 = sdq.inner[max_depth - 1u];
    sdq.inner[max_depth - 1u] = _e60 + epssq;
    if (max_depth < 48u) {
        index_4 = global_invocation_id_9.x;
        bool loop_init_11 = true;
        while(true) {
            if (!loop_init_11) {
                uint _e68 = index_4;
                index_4 = _e68 + inc_3;
            }
            loop_init_11 = false;
            uint _e66 = index_4;
            if (_e66 < node_count_3) {
            } else {
                break;
            }
            uint _e70 = index_4;
            int order = treeNode[_e70].sort;
            metal::float3 pos_4 = nodeSrc[order].position;
            af = metal::float3(0.0);
            depth_1 = 0u;
            spos.inner[0] = 0u;
            snode.inner[0] = tree_node_count_4;
            while(true) {
                uint _e87 = depth_1;
                uint _e89 = spos.inner[_e87];
                pd = _e89;
                uint _e91 = depth_1;
                uint _e93 = snode.inner[_e91];
                nd = _e93;
                while(true) {
                    uint _e95 = pd;
                    if (_e95 < 8u) {
                    } else {
                        break;
                    }
                    uint _e98 = nd;
                    uint _e101 = pd;
                    int n_i32_ = metal::atomic_load_explicit(&treeChild[(_e98 * 8u) + _e101], metal::memory_order_relaxed);
                    uint _e105 = pd;
                    pd = _e105 + 1u;
                    if (n_i32_ >= 0) {
                        uint n_1 = static_cast<uint>(n_i32_);
                        if (n_1 < node_count_3) {
                            metal::float3 _e115 = nodeSrc[n_1].position;
                            dp_1 = pos_4 - _e115;
                        } else {
                            metal::float3 _e119 = treeNode[n_1].position;
                            dp_1 = pos_4 - _e119;
                        }
                        metal::float3 _e121 = dp_1;
                        metal::float3 _e122 = dp_1;
                        float dist2_ = metal::dot(_e121, _e122);
                        if (n_1 < node_count_3) {
                            if (dist2_ > 0.0) {
                                uint _e129 = metal::atomic_load_explicit(&nodeSrc[order].mass, metal::memory_order_relaxed);
                                uint _e134 = metal::atomic_load_explicit(&nodeSrc[n_1].mass, metal::memory_order_relaxed);
                                float factor = ((0.0003000000142492354 * static_cast<float>(_e129)) * static_cast<float>(_e134)) / dist2_;
                                metal::float3 _e138 = af;
                                metal::float3 _e139 = dp_1;
                                af = _e138 + (_e139 * factor);
                            }
                        } else {
                            uint _e142 = depth_1;
                            float _e144 = sdq.inner[_e142];
                            if (dist2_ >= _e144) {
                                if (dist2_ > 0.0) {
                                    uint _e150 = metal::atomic_load_explicit(&nodeSrc[order].mass, metal::memory_order_relaxed);
                                    int _e155 = metal::atomic_load_explicit(&treeNode[n_1].mass, metal::memory_order_relaxed);
                                    float factor_1 = ((0.0003000000142492354 * static_cast<float>(_e150)) * static_cast<float>(_e155)) / dist2_;
                                    metal::float3 _e159 = af;
                                    metal::float3 _e160 = dp_1;
                                    af = _e159 + (_e160 * factor_1);
                                }
                            } else {
                                uint _e163 = depth_1;
                                uint _e165 = pd;
                                spos.inner[_e163] = _e165;
                                uint _e166 = depth_1;
                                uint _e168 = nd;
                                snode.inner[_e166] = _e168;
                                uint _e169 = depth_1;
                                depth_1 = _e169 + 1u;
                                pd = 0u;
                                nd = n_1;
                            }
                        }
                    } else {
                        pd = 8u;
                    }
                }
                uint _e174 = depth_1;
                if (_e174 == 0u) {
                    break;
                }
                uint _e177 = depth_1;
                depth_1 = _e177 - 1u;
            }
            metal::float3 _e182 = nodeSrc[order].force;
            metal::float3 _e183 = af;
            nodeSrc[order].force = _e182 + (_e183 * 0.10000000149011612);
        }
        return;
    } else {
        return;
    }
}


struct main_Input {
};
kernel void main_(
  metal::uint3 global_invocation_id_10 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device type_9& springForceSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 spring_force = {};
    uint total_7 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_11 = global_invocation_id_10.x;
    if (index_11 >= total_7) {
        return;
    }
    metal::float3 vPos_3 = nodeSrc[index_11].position;
    uint _e19 = metal::atomic_load_explicit(&nodeSrc[index_11].mass, metal::memory_order_relaxed);
    float mass_1 = static_cast<float>(_e19);
    spring_force = metal::float3(0.0);
    int _e31 = metal::atomic_load_explicit(&springForceSrc[(index_11 * 3u) + 0u], metal::memory_order_relaxed);
    spring_force.x = as_type<float>(_e31);
    int _e39 = metal::atomic_load_explicit(&springForceSrc[(index_11 * 3u) + 1u], metal::memory_order_relaxed);
    spring_force.y = as_type<float>(_e39);
    int _e47 = metal::atomic_load_explicit(&springForceSrc[(index_11 * 3u) + 2u], metal::memory_order_relaxed);
    spring_force.z = as_type<float>(_e47);
    metal::atomic_store_explicit(&springForceSrc[(index_11 * 3u) + 0u], 0, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_11 * 3u) + 1u], 0, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_11 * 3u) + 2u], 0, metal::memory_order_relaxed);
    metal::float3 _e67 = spring_force;
    spring_force = _e67 * 100.0;
    metal::float3 _e72 = nodeSrc[index_11].force;
    metal::float3 _e73 = spring_force;
    nodeSrc[index_11].force = _e72 + _e73;
    return;
}


struct displacementInput {
};
kernel void displacement(
  metal::uint3 global_invocation_id_11 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint total_8 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_12 = global_invocation_id_11.x;
    if (index_12 >= total_8) {
        return;
    }
    metal::float3 _e17 = nodeSrc[index_12].force;
    metal::float3 _e20 = nodeSrc[index_12].prev_force;
    metal::float3 d_force = _e17 - _e20;
    float swg = metal::sqrt(metal::dot(d_force, d_force));
    uint _e31 = metal::atomic_load_explicit(&nodeSrc[index_12].mass, metal::memory_order_relaxed);
    float factor_2 = (1.0 / (1.0 + metal::sqrt(1.0 * swg))) / static_cast<float>(_e31);
    metal::float3 force = nodeSrc[index_12].force;
    nodeSrc[index_12].force = metal::float3(0.0);
    nodeSrc[index_12].prev_force = force;
    metal::float3 _e45 = nodeSrc[index_12].position;
    nodeSrc[index_12].position = _e45 + ((force * factor_2) * 0.009999999776482582);
    return;
}


struct randomizeInput {
};
kernel void randomize(
  metal::uint3 global_invocation_id_12 [[thread_position_in_grid]]
, constant Uniforms& uniforms [[user(fake0)]]
, device type_6& nodeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 vPos_1 = {};
    uint total_9 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_13 = global_invocation_id_12.x;
    if (index_13 >= total_9) {
        return;
    }
    metal::float3 _e16 = nodeSrc[index_13].position;
    vPos_1 = _e16;
    uint _e22 = uniforms.frame_num;
    float _e25 = random_xy(index_13, 0u + (3u * _e22));
    vPos_1.x = (_e25 * 2.0) - 1.0;
    uint _e34 = uniforms.frame_num;
    float _e37 = random_xy(index_13, 1u + (3u * _e34));
    vPos_1.y = (_e37 * 2.0) - 1.0;
    uint _e46 = uniforms.frame_num;
    float _e49 = random_xy(index_13, 2u + (3u * _e46));
    vPos_1.z = (_e49 * 2.0) - 1.0;
    metal::float3 _e56 = vPos_1;
    nodeSrc[index_13].position = _e56;
    nodeSrc[index_13].force = metal::float3(0.0);
    nodeSrc[index_13].prev_force = metal::float3(0.0);
    return;
}


struct copyInput {
};
kernel void copy(
  metal::uint3 global_invocation_id_13 [[thread_position_in_grid]]
, device type_6 const& nodeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 vPos_2 = {};
    uint total_10 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_14 = global_invocation_id_13.x;
    if (index_14 >= total_10) {
        return;
    }
    metal::float3 _e16 = nodeSrc[index_14].position;
    vPos_2 = _e16;
    return;
}


================================================
FILE: lib/naga/benches/criterion.rs
================================================
use criterion::*;
use std::{fs, path::PathBuf, slice};

fn gather_inputs(folder: &str, extension: &str) -> Vec<Box<[u8]>> {
    let mut list = Vec::new();
    let read_dir = PathBuf::from(env!("CARGO_MANIFEST_DIR"))
        .join(folder)
        .read_dir()
        .unwrap();
    for file_entry in read_dir {
        match file_entry {
            Ok(entry) => match entry.path().extension() {
                Some(ostr) if &*ostr == extension => {
                    let input = fs::read(entry.path()).unwrap_or_default();
                    list.push(input.into_boxed_slice());
                }
                _ => continue,
            },
            Err(e) => {
                log::warn!("Skipping file: {:?}", e);
                continue;
            }
        }
    }
    list
}

fn parse_glsl(stage: naga::ShaderStage, inputs: &[Box<[u8]>]) {
    let mut parser = naga::front::glsl::Parser::default();
    let options = naga::front::glsl::Options {
        stage,
        defines: Default::default(),
    };
    for input in inputs.iter() {
        let string = std::str::from_utf8(input).unwrap();
        parser.parse(&options, string).unwrap();
    }
}

fn frontends(c: &mut Criterion) {
    let mut group = c.benchmark_group("front");
    #[cfg(all(feature = "wgsl-in", feature = "serialize", feature = "deserialize"))]
    group.bench_function("bin", |b| {
        let inputs_wgsl = gather_inputs("tests/in", "wgsl");
        let mut parser = naga::front::wgsl::Parser::new();
        let inputs_bin = inputs_wgsl
            .iter()
            .map(|input| {
                let string = std::str::from_utf8(input).unwrap();
                let module = parser.parse(string).unwrap();
                bincode::serialize(&module).unwrap()
            })
            .collect::<Vec<_>>();
        b.iter(move || {
            for input in inputs_bin.iter() {
                bincode::deserialize::<naga::Module>(input).unwrap();
            }
        });
    });
    #[cfg(feature = "wgsl-in")]
    group.bench_function("wgsl", |b| {
        let inputs_wgsl = gather_inputs("tests/in", "wgsl");
        let inputs = inputs_wgsl
            .iter()
            .map(|input| std::str::from_utf8(input).unwrap())
            .collect::<Vec<_>>();
        let mut parser = naga::front::wgsl::Parser::new();
        b.iter(move || {
            for &input in inputs.iter() {
                parser.parse(input).unwrap();
            }
        });
    });
    #[cfg(feature = "spv-in")]
    group.bench_function("spv", |b| {
        let inputs = gather_inputs("tests/in/spv", "spv");
        b.iter(move || {
            let options = naga::front::spv::Options::default();
            for input in inputs.iter() {
                let spv =
                    unsafe { slice::from_raw_parts(input.as_ptr() as *const u32, input.len() / 4) };
                let parser = naga::front::spv::Parser::new(spv.iter().cloned(), &options);
                parser.parse().unwrap();
            }
        });
    });
    #[cfg(feature = "glsl-in")]
    group.bench_function("glsl", |b| {
        let vert = gather_inputs("tests/in/glsl", "vert");
        b.iter(move || parse_glsl(naga::ShaderStage::Vertex, &vert));
        let frag = gather_inputs("tests/in/glsl", "frag");
        b.iter(move || parse_glsl(naga::ShaderStage::Vertex, &frag));
        //TODO: hangs for some reason!
        //let comp = gather_inputs("tests/in/glsl", "comp");
        //b.iter(move || parse_glsl(naga::ShaderStage::Compute, &comp));
    });
}

#[cfg(feature = "wgsl-in")]
fn gather_modules() -> Vec<naga::Module> {
    let inputs = gather_inputs("tests/in", "wgsl");
    let mut parser = naga::front::wgsl::Parser::new();
    inputs
        .iter()
        .map(|input| {
            let string = std::str::from_utf8(input).unwrap();
            parser.parse(string).unwrap()
        })
        .collect()
}
#[cfg(not(feature = "wgsl-in"))]
fn gather_modules() -> Vec<naga::Module> {
    Vec::new()
}

fn validation(c: &mut Criterion) {
    let inputs = gather_modules();
    let mut group = c.benchmark_group("valid");
    #[cfg(feature = "validate")]
    group.bench_function("safe", |b| {
        let mut validator = naga::valid::Validator::new(
            naga::valid::ValidationFlags::all(),
            naga::valid::Capabilities::all(),
        );
        b.iter(|| {
            for input in inputs.iter() {
                validator.validate(input).unwrap();
            }
        });
    });
    #[cfg(feature = "validate")]
    group.bench_function("unsafe", |b| {
        let mut validator = naga::valid::Validator::new(
            naga::valid::ValidationFlags::empty(),
            naga::valid::Capabilities::all(),
        );
        b.iter(|| {
            for input in inputs.iter() {
                validator.validate(input).unwrap();
            }
        });
    });
}

fn backends(c: &mut Criterion) {
    #[cfg(feature = "validate")]
    let inputs = {
        let mut validator = naga::valid::Validator::new(
            naga::valid::ValidationFlags::empty(),
            naga::valid::Capabilities::empty(),
        );
        let input_modules = gather_modules();
        input_modules
            .into_iter()
            .flat_map(|module| validator.validate(&module).ok().map(|info| (module, info)))
            .collect::<Vec<_>>()
    };
    #[cfg(not(feature = "validate"))]
    let inputs = Vec::<(naga::Module, naga::valid::ModuleInfo)>::new();

    let mut group = c.benchmark_group("back");
    #[cfg(feature = "wgsl-out")]
    group.bench_function("wgsl", |b| {
        b.iter(|| {
            let mut string = String::new();
            let flags = naga::back::wgsl::WriterFlags::empty();
            for &(ref module, ref info) in inputs.iter() {
                let mut writer = naga::back::wgsl::Writer::new(&mut string, flags);
                writer.write(module, info).unwrap();
                string.clear();
            }
        });
    });

    #[cfg(feature = "spv-out")]
    group.bench_function("spv", |b| {
        b.iter(|| {
            let mut data = Vec::new();
            let options = naga::back::spv::Options::default();
            for &(ref module, ref info) in inputs.iter() {
                let mut writer = naga::back::spv::Writer::new(&options).unwrap();
                writer.write(module, info, None, &mut data).unwrap();
                data.clear();
            }
        });
    });
    #[cfg(feature = "spv-out")]
    group.bench_function("spv-separate", |b| {
        b.iter(|| {
            let mut data = Vec::new();
            let options = naga::back::spv::Options::default();
            for &(ref module, ref info) in inputs.iter() {
                let mut writer = naga::back::spv::Writer::new(&options).unwrap();
                for ep in module.entry_points.iter() {
                    let pipeline_options = naga::back::spv::PipelineOptions {
                        shader_stage: ep.stage,
                        entry_point: ep.name.clone(),
                    };
                    writer
                        .write(module, info, Some(&pipeline_options), &mut data)
                        .unwrap();
                    data.clear();
                }
            }
        });
    });

    #[cfg(feature = "msl-out")]
    group.bench_function("msl", |b| {
        b.iter(|| {
            let mut string = String::new();
            let options = naga::back::msl::Options::default();
            for &(ref module, ref info) in inputs.iter() {
                let pipeline_options = naga::back::msl::PipelineOptions::default();
                let mut writer = naga::back::msl::Writer::new(&mut string);
                writer
                    .write(module, info, &options, &pipeline_options)
                    .unwrap();
                string.clear();
            }
        });
    });

    #[cfg(feature = "hlsl-out")]
    group.bench_function("hlsl", |b| {
        b.iter(|| {
            let options = naga::back::hlsl::Options::default();
            let mut string = String::new();
            for &(ref module, ref info) in inputs.iter() {
                let mut writer = naga::back::hlsl::Writer::new(&mut string, &options);
                let _ = writer.write(module, info); // may fail on unimplemented things
                string.clear();
            }
        });
    });

    #[cfg(feature = "glsl-out")]
    group.bench_function("glsl-separate", |b| {
        b.iter(|| {
            let mut string = String::new();
            let options = naga::back::glsl::Options {
                version: naga::back::glsl::Version::new_gles(320),
                writer_flags: naga::back::glsl::WriterFlags::empty(),
                binding_map: Default::default(),
            };
            for &(ref module, ref info) in inputs.iter() {
                for ep in module.entry_points.iter() {
                    let pipeline_options = naga::back::glsl::PipelineOptions {
                        shader_stage: ep.stage,
                        entry_point: ep.name.clone(),
                        multiview: None,
                    };
                    match naga::back::glsl::Writer::new(
                        &mut string,
                        module,
                        info,
                        &options,
                        &pipeline_options,
                        naga::proc::BoundsCheckPolicies::default(),
                    ) {
                        Ok(mut writer) => {
                            let _ = writer.write(); // can error if unsupported
                        }
                        Err(_) => {
                            // missing features
                        }
                    };
                    string.clear();
                }
            }
        });
    });
}

criterion_group!(criterion, frontends, validation, backends,);
criterion_main!(criterion);


================================================
FILE: lib/naga/cli/Cargo.toml
================================================
[package]
name = "naga-cli"
version = "0.10.0"
authors = ["Naga Developers"]
edition = "2018"
description = "Shader translation command line tool"
homepage = "https://github.com/gfx-rs/naga"
repository = "https://github.com/gfx-rs/naga"
keywords = ["shader", "SPIR-V", "GLSL", "MSL"]
license = "MIT OR Apache-2.0"

[[bin]]
name = "naga"
path = "src/main.rs"

[dependencies]
naga = { version = "0.10", path = "../", features = ["validate", "span", "wgsl-in", "wgsl-out", "glsl-in", "glsl-out", "spv-in", "spv-out", "msl-out", "hlsl-out", "dot-out", "serialize", "deserialize"] }
bincode = "1"
log = "0.4"
codespan-reporting = "0.11"
env_logger = "0.9"
argh = "0.1.5"
rspirv = "0.11.0"


================================================
FILE: lib/naga/cli/src/main.rs
================================================
#![allow(clippy::manual_strip)]
#[allow(unused_imports)]
use std::fs;
use std::{error::Error, fmt, io::Read, path::Path, str::FromStr};

/// Translate shaders to different formats.
#[derive(argh::FromArgs, Debug, Clone)]
struct Args {
    /// bitmask of the ValidationFlags to be used, use 0 to disable validation
    #[argh(option)]
    validate: Option<u8>,

    /// what policy to use for index bounds checking for arrays, vectors, and
    /// matrices.
    ///
    /// May be `Restrict` (force all indices in-bounds), `ReadZeroSkipWrite`
    /// (out-of-bounds indices read zeros, and don't write at all), or
    /// `Unchecked` (generate the simplest code, and whatever happens, happens)
    ///
    /// `Unchecked` is the default.
    #[argh(option)]
    index_bounds_check_policy: Option<BoundsCheckPolicyArg>,

    /// what policy to use for index bounds checking for arrays, vectors, and
    /// matrices, when they are stored in globals in the `storage` or `uniform`
    /// storage classes.
    ///
    /// Possible values are the same as for `index-bounds-check-policy`. If
    /// omitted, defaults to the index bounds check policy.
    #[argh(option)]
    buffer_bounds_check_policy: Option<BoundsCheckPolicyArg>,

    /// what policy to use for texture bounds checking.
    ///
    /// Possible values are the same as for `index-bounds-check-policy`. If
    /// omitted, defaults to the index bounds check policy.
    #[argh(option)]
    image_bounds_check_policy: Option<BoundsCheckPolicyArg>,

    /// directory to dump the SPIR-V block context dump to
    #[argh(option)]
    block_ctx_dir: Option<String>,

    /// the shader entrypoint to use when compiling to GLSL
    #[argh(option)]
    entry_point: Option<String>,

    /// the shader profile to use, for example `es`, `core`, `es330`, if translating to GLSL
    #[argh(option)]
    profile: Option<GlslProfileArg>,

    /// the shader model to use if targeting HLSL
    ///
    /// May be `50`, 51`, or `60`
    #[argh(option)]
    shader_model: Option<ShaderModelArg>,

    /// if the selected frontends/backends support coordinate space conversions,
    /// disable them
    #[argh(switch)]
    keep_coordinate_space: bool,

    /// in dot output, include only the control flow graph
    #[argh(switch)]
    dot_cfg_only: bool,

    /// specify file path to process STDIN as
    #[argh(option)]
    stdin_file_path: Option<String>,

    /// show version
    #[argh(switch)]
    version: bool,

    /// the input and output files.
    ///
    /// First positional argument is the input file. If not specified, the
    /// input will be read from stdin. In the case, --stdin-file-path must also
    /// be specified.
    ///
    /// The rest arguments are the output files. If not specified, only
    /// validation will be performed.
    #[argh(positional)]
    files: Vec<String>,
}

/// Newtype so we can implement [`FromStr`] for `BoundsCheckPolicy`.
#[derive(Debug, Clone, Copy)]
struct BoundsCheckPolicyArg(naga::proc::BoundsCheckPolicy);

impl FromStr for BoundsCheckPolicyArg {
    type Err = String;

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        use naga::proc::BoundsCheckPolicy;
        Ok(Self(match s.to_lowercase().as_str() {
            "restrict" => BoundsCheckPolicy::Restrict,
            "readzeroskipwrite" => BoundsCheckPolicy::ReadZeroSkipWrite,
            "unchecked" => BoundsCheckPolicy::Unchecked,
            _ => {
                return Err(format!(
                    "Invalid value for --index-bounds-check-policy: {}",
                    s
                ))
            }
        }))
    }
}

/// Newtype so we can implement [`FromStr`] for `ShaderModel`.
#[derive(Debug, Clone)]
struct ShaderModelArg(naga::back::hlsl::ShaderModel);

impl FromStr for ShaderModelArg {
    type Err = String;

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        use naga::back::hlsl::ShaderModel;
        Ok(Self(match s.to_lowercase().as_str() {
            "50" => ShaderModel::V5_0,
            "51" => ShaderModel::V5_1,
            "60" => ShaderModel::V6_0,
            _ => return Err(format!("Invalid value for --shader-model: {}", s)),
        }))
    }
}

/// Newtype so we can implement [`FromStr`] for [`naga::back::glsl::Version`].
#[derive(Clone, Debug)]
struct GlslProfileArg(naga::back::glsl::Version);

impl FromStr for GlslProfileArg {
    type Err = String;

    fn from_str(s: &str) -> Result<Self, Self::Err> {
        use naga::back::glsl::Version;
        Ok(Self(if s.starts_with("core") {
            Version::Desktop(s[4..].parse().unwrap_or(330))
        } else if s.starts_with("es") {
            Version::new_gles(s[2..].parse().unwrap_or(310))
        } else {
            return Err(format!("Unknown profile: {}", s));
        }))
    }
}

#[derive(Default)]
struct Parameters {
    validation_flags: naga::valid::ValidationFlags,
    bounds_check_policies: naga::proc::BoundsCheckPolicies,
    entry_point: Option<String>,
    keep_coordinate_space: bool,
    spv_block_ctx_dump_prefix: Option<String>,
    spv: naga::back::spv::Options,
    msl: naga::back::msl::Options,
    glsl: naga::back::glsl::Options,
    hlsl: naga::back::hlsl::Options,
}

trait PrettyResult {
    type Target;
    fn unwrap_pretty(self) -> Self::Target;
}

fn print_err(error: &dyn Error) {
    eprint!("{}", error);

    let mut e = error.source();
    if e.is_some() {
        eprintln!(": ");
    } else {
        eprintln!();
    }

    while let Some(source) = e {
        eprintln!("\t{}", source);
        e = source.source();
    }
}

impl<T, E: Error> PrettyResult for Result<T, E> {
    type Target = T;
    fn unwrap_pretty(self) -> T {
        match self {
            Result::Ok(value) => value,
            Result::Err(error) => {
                print_err(&error);
                std::process::exit(1);
            }
        }
    }
}

fn main() {
    if let Err(e) = run() {
        print_err(e.as_ref());
        std::process::exit(1);
    }
}

/// Error type for the CLI
#[derive(Debug, Clone)]
struct CliError(&'static str);
impl fmt::Display for CliError {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        write!(f, "{}", self.0)
    }
}
impl std::error::Error for CliError {}

fn run() -> Result<(), Box<dyn std::error::Error>> {
    env_logger::init();

    // Initialize default parameters
    //TODO: read the parameters from RON?
    let mut params = Parameters::default();

    // Parse commandline arguments
    let args: Args = argh::from_env();
    if args.version {
        println!("{}", env!("CARGO_PKG_VERSION"));
        return Ok(());
    }
    let (input_path, input) = if let Some(path) = args.files.first() {
        let path = Path::new(path);
        (path, fs::read(path)?)
    } else if let Some(path) = &args.stdin_file_path {
        let mut input = vec![];
        std::io::stdin().lock().read_to_end(&mut input)?;
        (Path::new(path), input)
    } else {
        return Err(CliError("Input file path is not specified").into());
    };
    let output_paths = if !args.files.is_empty() {
        &args.files[1..]
    } else {
        &[]
    };

    // Update parameters from commandline arguments
    if let Some(bits) = args.validate {
        params.validation_flags = naga::valid::ValidationFlags::from_bits(bits)
            .ok_or(CliError("Invalid validation flags"))?;
    }
    if let Some(policy) = args.index_bounds_check_policy {
        params.bounds_check_policies.index = policy.0;
    }
    params.bounds_check_policies.buffer = match args.buffer_bounds_check_policy {
        Some(arg) => arg.0,
        None => params.bounds_check_policies.index,
    };
    params.bounds_check_policies.image = match args.image_bounds_check_policy {
        Some(arg) => arg.0,
        None => params.bounds_check_policies.index,
    };
    params.spv_block_ctx_dump_prefix = args.block_ctx_dir;
    params.entry_point = args.entry_point;
    if let Some(version) = args.profile {
        params.glsl.version = version.0;
    }
    if let Some(model) = args.shader_model {
        params.hlsl.shader_model = model.0;
    }
    params.keep_coordinate_space = args.keep_coordinate_space;

    let (module, input_text) = match Path::new(&input_path)
        .extension()
        .ok_or(CliError("Input filename has no extension"))?
        .to_str()
        .ok_or(CliError("Input filename not valid unicode"))?
    {
        "bin" => (bincode::deserialize(&input)?, None),
        "spv" => {
            let options = naga::front::spv::Options {
                adjust_coordinate_space: !params.keep_coordinate_space,
                strict_capabilities: false,
                block_ctx_dump_prefix: params
                    .spv_block_ctx_dump_prefix
                    .map(std::path::PathBuf::from),
            };
            naga::front::spv::parse_u8_slice(&input, &options).map(|m| (m, None))?
        }
        "wgsl" => {
            let input = String::from_utf8(input)?;
            let result = naga::front::wgsl::parse_str(&input);
            match result {
                Ok(v) => (v, Some(input)),
                Err(ref e) => {
                    let path = input_path.to_string_lossy();
                    e.emit_to_stderr_with_path(&input, &path);
                    return Err(CliError("Could not parse WGSL").into());
                }
            }
        }
        ext @ ("vert" | "frag" | "comp") => {
            let input = String::from_utf8(input)?;
            let mut parser = naga::front::glsl::Parser::default();

            (
                parser
                    .parse(
                        &naga::front::glsl::Options {
                            stage: match ext {
                                "vert" => naga::ShaderStage::Vertex,
                                "frag" => naga::ShaderStage::Fragment,
                                "comp" => naga::ShaderStage::Compute,
                                _ => unreachable!(),
                            },
                            defines: Default::default(),
                        },
                        &input,
                    )
                    .unwrap_or_else(|errors| {
                        let filename = input_path.file_name().and_then(std::ffi::OsStr::to_str);
                        emit_glsl_parser_error(errors, filename.unwrap_or("glsl"), &input);
                        std::process::exit(1);
                    }),
                Some(input),
            )
        }
        _ => return Err(CliError("Unknown input file extension").into()),
    };

    // Decide which capabilities our output formats can support.
    let validation_caps =
        output_paths
            .iter()
            .fold(naga::valid::Capabilities::all(), |caps, path| {
                use naga::valid::Capabilities as C;
                let missing = match Path::new(path).extension().and_then(|ex| ex.to_str()) {
                    Some("wgsl") => C::CLIP_DISTANCE | C::CULL_DISTANCE,
                    Some("metal") => C::CULL_DISTANCE,
                    _ => C::empty(),
                };
                caps & !missing
            });

    // validate the IR
    let info = match naga::valid::Validator::new(params.validation_flags, validation_caps)
        .validate(&module)
    {
        Ok(info) => Some(info),
        Err(error) => {
            if let Some(input) = input_text {
                let filename = input_path.file_name().and_then(std::ffi::OsStr::to_str);
                emit_annotated_error(&error, filename.unwrap_or("input"), &input);
            }
            print_err(&error);
            None
        }
    };

    if output_paths.is_empty() {
        if info.is_some() {
            println!("Validation successful");
            return Ok(());
        } else {
            std::process::exit(-1);
        }
    }

    for output_path in output_paths {
        match Path::new(&output_path)
            .extension()
            .ok_or(CliError("Output filename has no extension"))?
            .to_str()
            .ok_or(CliError("Output filename not valid unicode"))?
        {
            "txt" => {
                use std::io::Write;

                let mut file = fs::File::create(output_path)?;
                writeln!(file, "{:#?}", module)?;
                if let Some(ref info) = info {
                    writeln!(file)?;
                    writeln!(file, "{:#?}", info)?;
                }
            }
            "bin" => {
                let file = fs::File::create(output_path)?;
                bincode::serialize_into(file, &module)?;
            }
            "metal" => {
                use naga::back::msl;

                let mut options = params.msl.clone();
                options.bounds_check_policies = params.bounds_check_policies;

                let pipeline_options = msl::PipelineOptions::default();
                let (msl, _) = msl::write_string(
                    &module,
                    info.as_ref().ok_or(CliError(
                        "Generating metal output requires validation to \
                        succeed, and it failed in a previous step",
                    ))?,
                    &options,
                    &pipeline_options,
                )
                .unwrap_pretty();
                fs::write(output_path, msl)?;
            }
            "spv" => {
                use naga::back::spv;

                let pipeline_options_owned;
                let pipeline_options = match params.entry_point {
                    Some(ref name) => {
                        let ep_index = module
                            .entry_points
                            .iter()
                            .position(|ep| ep.name == *name)
                            .expect("Unable to find the entry point");
                        pipeline_options_owned = spv::PipelineOptions {
                            entry_point: name.clone(),
                            shader_stage: module.entry_points[ep_index].stage,
                        };
                        Some(&pipeline_options_owned)
                    }
                    None => None,
                };

                params.spv.bounds_check_policies = params.bounds_check_policies;
                params.spv.flags.set(
                    spv::WriterFlags::ADJUST_COORDINATE_SPACE,
                    !params.keep_coordinate_space,
                );

                let spv = spv::write_vec(
                    &module,
                    info.as_ref().ok_or(CliError(
                        "Generating SPIR-V output requires validation to \
                        succeed, and it failed in a previous step",
                    ))?,
                    &params.spv,
                    pipeline_options,
                )
                .unwrap_pretty();
                let bytes = spv
                    .iter()
                    .fold(Vec::with_capacity(spv.len() * 4), |mut v, w| {
                        v.extend_from_slice(&w.to_le_bytes());
                        v
                    });

                fs::write(output_path, bytes.as_slice())?;
            },
            "spvasm" => {
                use naga::back::spv;
                use rspirv::binary::Disassemble;

                let pipeline_options_owned;
                let pipeline_options = match params.entry_point {
                    Some(ref name) => {
                        let ep_index = module
                            .entry_points
                            .iter()
                            .position(|ep| ep.name == *name)
                            .expect("Unable to find the entry point");
                        pipeline_options_owned = spv::PipelineOptions {
                            entry_point: name.clone(),
                            shader_stage: module.entry_points[ep_index].stage,
                        };
                        Some(&pipeline_options_owned)
                    }
                    None => None,
                };

                params.spv.bounds_check_policies = params.bounds_check_policies;
                params.spv.flags.set(
                    spv::WriterFlags::ADJUST_COORDINATE_SPACE,
                    !params.keep_coordinate_space,
                );

                let spv = spv::write_vec(
                    &module,
                    info.as_ref().ok_or(CliError(
                        "Generating SPIR-V output requires validation to \
                        succeed, and it failed in a previous step",
                    ))?,
                    &params.spv,
                    pipeline_options,
                )
                .unwrap_pretty();
                // let bytes = spv
                //     .iter()
                //     .fold(Vec::with_capacity(spv.len() * 4), |mut v, w| {
                //         v.extend_from_slice(&w.to_le_bytes());
                //         v
                //     });
                let dis = rspirv::dr::load_words(spv)
                    .expect("Produced invalid SPIR-V")
                    .disassemble();
                fs::write(output_path, dis)?;
            }
            stage @ ("vert" | "frag" | "comp") => {
                use naga::back::glsl;

                let pipeline_options = glsl::PipelineOptions {
                    entry_point: match params.entry_point {
                        Some(ref name) => name.clone(),
                        None => "main".to_string(),
                    },
                    shader_stage: match stage {
                        "vert" => naga::ShaderStage::Vertex,
                        "frag" => naga::ShaderStage::Fragment,
                        "comp" => naga::ShaderStage::Compute,
                        _ => unreachable!(),
                    },
                    multiview: None,
                };

                let mut buffer = String::new();
                let mut writer = glsl::Writer::new(
                    &mut buffer,
                    &module,
                    info.as_ref().ok_or(CliError(
                        "Generating glsl output requires validation to \
                        succeed, and it failed in a previous step",
                    ))?,
                    &params.glsl,
                    &pipeline_options,
                    params.bounds_check_policies,
                )
                .unwrap_pretty();
                writer.write()?;
                fs::write(output_path, buffer)?;
            }
            "dot" => {
                use naga::back::dot;

                let output = dot::write(
                    &module,
                    info.as_ref(),
                    naga::back::dot::Options {
                        cfg_only: args.dot_cfg_only,
                    },
                )?;
                fs::write(output_path, output)?;
            }
            "hlsl" => {
                use naga::back::hlsl;
                let mut buffer = String::new();
                let mut writer = hlsl::Writer::new(&mut buffer, &params.hlsl);
                writer
                    .write(
                        &module,
                        info.as_ref().ok_or(CliError(
                            "Generating hlsl output requires validation to \
                            succeed, and it failed in a previous step",
                        ))?,
                    )
                    .unwrap_pretty();
                fs::write(output_path, buffer)?;
            }
            "wgsl" => {
                use naga::back::wgsl;

                let wgsl = wgsl::write_string(
                    &module,
                    info.as_ref().ok_or(CliError(
                        "Generating wgsl output requires validation to \
                        succeed, and it failed in a previous step",
                    ))?,
                    wgsl::WriterFlags::empty(),
                )
                .unwrap_pretty();
                fs::write(output_path, wgsl)?;
            }
            other => {
                println!("Unknown output extension: {}", other);
            }
        }
    }

    Ok(())
}

use codespan_reporting::{
    diagnostic::{Diagnostic, Label},
    files::SimpleFile,
    term::{
        self,
        termcolor::{ColorChoice, StandardStream},
    },
};
use naga::WithSpan;

pub fn emit_glsl_parser_error(errors: Vec<naga::front::glsl::Error>, filename: &str, source: &str) {
    let files = SimpleFile::new(filename, source);
    let config = codespan_reporting::term::Config::default();
    let writer = StandardStream::stderr(ColorChoice::Auto);

    for err in errors {
        let mut diagnostic = Diagnostic::error().with_message(err.kind.to_string());

        if let Some(range) = err.meta.to_range() {
            diagnostic = diagnostic.with_labels(vec![Label::primary((), range)]);
        }

        term::emit(&mut writer.lock(), &config, &files, &diagnostic).expect("cannot write error");
    }
}

pub fn emit_annotated_error<E: Error>(ann_err: &WithSpan<E>, filename: &str, source: &str) {
    let files = SimpleFile::new(filename, source);
    let config = codespan_reporting::term::Config::default();
    let writer = StandardStream::stderr(ColorChoice::Auto);

    let diagnostic = Diagnostic::error().with_labels(
        ann_err
            .spans()
            .map(|(span, desc)| {
                Label::primary((), span.to_range().unwrap()).with_message(desc.to_owned())
            })
            .collect(),
    );

    term::emit(&mut writer.lock(), &config, &files, &diagnostic).expect("cannot write error");
}


================================================
FILE: lib/naga/debug/CS_boids.metal
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct _mslBufferSizes {
    uint size1;
    uint size2;
    uint size3;
    uint size4;
    uint size6;
    uint size7;
};

struct Node {
    metal::float3 position;
    metal::float3 force;
    metal::packed_float3 prev_force;
    metal::atomic_uint mass;
};
struct Uniforms {
    uint frame_num;
};
struct Bound {
    metal::float3 bound_min;
    metal::float3 bound_max;
};
struct BHTree {
    metal::atomic_uint max_depth;
    metal::atomic_uint bottom;
    float radius;
};
struct BHTreeNode {
    metal::packed_float3 position;
    metal::atomic_int mass;
    int count;
    metal::atomic_int start;
    int sort;
};
typedef Node type_6[1];
typedef metal::uint2 type_8[1];
typedef metal::atomic_int type_9[1];
typedef Bound type_10[1];
typedef BHTreeNode type_11[1];
struct type_13 {
    metal::float3 inner[256];
};
struct type_14 {
    int inner[8];
};
struct type_16 {
    uint inner[48];
};
struct type_17 {
    float inner[48];
};

uint hash(
    uint s_1
) {
    uint t = {};
    t = s_1;
    uint _e10 = t;
    t = _e10 ^ 2747636419u;
    uint _e13 = t;
    t = _e13 * 2654435769u;
    uint _e16 = t;
    uint _e17 = t;
    t = _e16 ^ (_e17 >> 16u);
    uint _e21 = t;
    t = _e21 * 2654435769u;
    uint _e24 = t;
    uint _e25 = t;
    t = _e24 ^ (_e25 >> 16u);
    uint _e29 = t;
    t = _e29 * 2654435769u;
    uint _e32 = t;
    return _e32;
}

float random(
    uint seed
) {
    uint _e9 = hash(seed);
    return static_cast<float>(_e9) / 4294967296.0;
}

float random_xy(
    uint seed_x,
    uint seed_y
) {
    uint _e10 = hash(seed_x);
    uint _e12 = hash(_e10 + seed_y);
    return static_cast<float>(_e12) / 4294967296.0;
}

void atomic_add_f32_(
    uint springIndex,
    float updateValue,
    device type_9& springForceSrc,
    constant _mslBufferSizes& _buffer_sizes
) {
    int new_u32_ = {};
    int assumed = 0;
    int origin = {};
    new_u32_ = as_type<int>(updateValue);
    while(true) {
        if (true) {
        } else {
            break;
        }
        int _e17 = assumed;
        int _e18 = new_u32_;
        metal::atomic_compare_exchange_weak_explicit(&springForceSrc[springIndex], &_e17, _e18, metal::memory_order_relaxed, metal::memory_order_relaxed);
        origin = _e17;
        int _e20 = origin;
        int _e21 = assumed;
        if (_e20 == _e21) {
            break;
        }
        int _e23 = origin;
        assumed = _e23;
        int _e24 = origin;
        new_u32_ = as_type<int>(as_type<float>(_e24) + updateValue);
    }
    return;
}

struct gen_nodeInput {
};
kernel void gen_node(
  metal::uint3 global_invocation_id [[thread_position_in_grid]]
, constant Uniforms& uniforms [[user(fake0)]]
, device type_6& nodeSrc [[user(fake0)]]
, device type_9& springForceSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 vPos = {};
    uint total = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_5 = global_invocation_id.x;
    if (index_5 >= total) {
        return;
    }
    metal::float3 _e14 = nodeSrc[index_5].position;
    vPos = _e14;
    uint _e20 = uniforms.frame_num;
    float _e23 = random_xy(index_5, 0u + (3u * _e20));
    vPos.x = (_e23 * 2.0) - 1.0;
    uint _e32 = uniforms.frame_num;
    float _e35 = random_xy(index_5, 1u + (3u * _e32));
    vPos.y = (_e35 * 2.0) - 1.0;
    uint _e44 = uniforms.frame_num;
    float _e47 = random_xy(index_5, 2u + (3u * _e44));
    vPos.z = (_e47 * 2.0) - 1.0;
    metal::float3 _e54 = vPos;
    nodeSrc[index_5].position = _e54;
    nodeSrc[index_5].force = metal::float3(0.0);
    nodeSrc[index_5].prev_force = metal::float3(0.0);
    metal::atomic_store_explicit(&nodeSrc[index_5].mass, 1u, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_5 * 3u) + 0u], 0, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_5 * 3u) + 1u], 0, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_5 * 3u) + 2u], 0, metal::memory_order_relaxed);
    uint target_node = (index_5 * 3u) + 2u;
    int _e90 = metal::atomic_exchange_explicit(&springForceSrc[target_node], 0, metal::memory_order_relaxed);
    return;
}


struct cal_massInput {
};
kernel void cal_mass(
  metal::uint3 global_invocation_id_1 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device type_8 const& edgeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::uint2 edge = {};
    uint total_1 = 1 + (_buffer_sizes.size2 - 0 - 8) / 8;
    uint index_6 = global_invocation_id_1.x;
    if (index_6 >= total_1) {
        return;
    }
    metal::uint2 _e13 = edgeSrc[index_6];
    edge = _e13;
    uint source_node = edge.x;
    uint target_node_1 = edge.y;
    uint _e24 = metal::atomic_fetch_add_explicit(&nodeSrc[source_node].mass, 1u, metal::memory_order_relaxed);
    uint _e28 = metal::atomic_fetch_add_explicit(&nodeSrc[target_node_1].mass, 1u, metal::memory_order_relaxed);
    return;
}


struct cal_gravity_forceInput {
};
kernel void cal_gravity_force(
  metal::uint3 global_invocation_id_2 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    float gravity_force = {};
    uint total_2 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_7 = global_invocation_id_2.x;
    if (index_7 >= total_2) {
        return;
    }
    metal::float3 pos_3 = nodeSrc[index_7].position;
    uint _e19 = metal::atomic_load_explicit(&nodeSrc[index_7].mass, metal::memory_order_relaxed);
    float mass = static_cast<float>(_e19);
    if (true) {
        gravity_force = 1.0 * mass;
    } else {
        if (((pos_3.x != 0.0) || (pos_3.y != 0.0)) || (pos_3.z != 0.0)) {
            gravity_force = (1.0 * mass) * metal::rsqrt(metal::dot(pos_3, pos_3));
        } else {
            gravity_force = 0.0;
        }
    }
    metal::float3 _e41 = nodeSrc[index_7].force;
    float _e43 = gravity_force;
    nodeSrc[index_7].force = _e41 + (-pos_3 * _e43);
    return;
}


struct attractive_forceInput {
};
kernel void attractive_force(
  metal::uint3 global_invocation_id_3 [[thread_position_in_grid]]
, device type_6 const& nodeSrc [[user(fake0)]]
, device type_8 const& edgeSrc [[user(fake0)]]
, device type_9& springForceSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::uint2 edge_1 = {};
    metal::float3 dir = {};
    uint total_3 = 1 + (_buffer_sizes.size2 - 0 - 8) / 8;
    uint index_8 = global_invocation_id_3.x;
    if (index_8 >= total_3) {
        return;
    }
    metal::uint2 _e13 = edgeSrc[index_8];
    edge_1 = _e13;
    uint source_node_1 = edge_1.x;
    uint target_node_2 = edge_1.y;
    metal::float3 _e23 = nodeSrc[target_node_2].position;
    metal::float3 _e26 = nodeSrc[source_node_1].position;
    dir = _e23 - _e26;
    float _e34 = dir.x;
    atomic_add_f32_((source_node_1 * 3u) + 0u, _e34, springForceSrc, _buffer_sizes);
    float _e40 = dir.y;
    atomic_add_f32_((source_node_1 * 3u) + 1u, _e40, springForceSrc, _buffer_sizes);
    float _e46 = dir.z;
    atomic_add_f32_((source_node_1 * 3u) + 2u, _e46, springForceSrc, _buffer_sizes);
    float _e52 = dir.x;
    atomic_add_f32_((target_node_2 * 3u) + 0u, -_e52, springForceSrc, _buffer_sizes);
    float _e59 = dir.y;
    atomic_add_f32_((target_node_2 * 3u) + 1u, -_e59, springForceSrc, _buffer_sizes);
    float _e66 = dir.z;
    atomic_add_f32_((target_node_2 * 3u) + 2u, -_e66, springForceSrc, _buffer_sizes);
    return;
}


struct reduction_boundingInput {
};
kernel void reduction_bounding(
  uint local_index [[thread_index_in_threadgroup]]
, metal::uint3 global_id [[thread_position_in_grid]]
, metal::uint3 group_id [[threadgroup_position_in_grid]]
, device type_6 const& nodeSrc [[user(fake0)]]
, device type_10& bounding [[user(fake0)]]
, threadgroup type_13& smin
, threadgroup type_13& smax
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint index = {};
    uint s = {};
    index = global_id.x;
    uint total_4 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint _e16 = index;
    if (_e16 >= total_4) {
        index = total_4 - 1u;
    }
    uint _e21 = index;
    metal::float3 _e24 = nodeSrc[_e21].position;
    smin.inner[local_index] = _e24;
    uint _e26 = index;
    metal::float3 _e29 = nodeSrc[_e26].position;
    smax.inner[local_index] = _e29;
    metal::threadgroup_barrier(metal::mem_flags::mem_threadgroup);
    s = 256u / 2u;
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            uint _e37 = s;
            s = _e37 >> 1u;
        }
        loop_init = false;
        uint _e34 = s;
        if (_e34 > 0u) {
        } else {
            break;
        }
        uint _e40 = s;
        if (local_index < _e40) {
            uint _e42 = s;
            uint k = local_index + _e42;
            metal::float3 _e46 = smin.inner[local_index];
            metal::float3 _e48 = smin.inner[k];
            smin.inner[local_index] = metal::min(_e46, _e48);
            metal::float3 _e52 = smax.inner[local_index];
            metal::float3 _e54 = smax.inner[k];
            smax.inner[local_index] = metal::max(_e52, _e54);
        }
        metal::threadgroup_barrier(metal::mem_flags::mem_threadgroup);
    }
    if (local_index == 0u) {
        metal::float3 _e63 = smin.inner[0];
        bounding[group_id.x].bound_min = _e63;
        metal::float3 _e69 = smax.inner[0];
        bounding[group_id.x].bound_max = _e69;
        return;
    } else {
        return;
    }
}


kernel void bounding_box(
  device type_6 const& nodeSrc [[user(fake0)]]
, device type_10& bounding [[user(fake0)]]
, device BHTree& bhTree [[user(fake0)]]
, device type_11& treeNode [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 bound_min_min = {};
    metal::float3 bound_max_max = {};
    uint i = 0u;
    metal::float3 _e13 = bounding[0].bound_min;
    bound_min_min = _e13;
    metal::float3 _e18 = bounding[0].bound_max;
    bound_max_max = _e18;
    uint node_group_count = static_cast<uint>(metal::ceil(static_cast<float>(1 + (_buffer_sizes.size1 - 0 - 48) / 48) / 256.0));
    bool loop_init_1 = true;
    while(true) {
        if (!loop_init_1) {
            uint _e30 = i;
            i = _e30 + 1u;
        }
        loop_init_1 = false;
        uint _e28 = i;
        if (_e28 < node_group_count) {
        } else {
            break;
        }
        metal::float3 _e33 = bound_min_min;
        uint _e34 = i;
        metal::float3 _e37 = bounding[_e34].bound_min;
        bound_min_min = metal::min(_e33, _e37);
        metal::float3 _e39 = bound_max_max;
        uint _e40 = i;
        metal::float3 _e43 = bounding[_e40].bound_max;
        bound_max_max = metal::max(_e39, _e43);
    }
    metal::float3 _e48 = bound_min_min;
    bounding[0].bound_min = _e48;
    metal::float3 _e52 = bound_max_max;
    bounding[0].bound_max = _e52;
    metal::float3 _e53 = bound_max_max;
    metal::float3 _e54 = bound_min_min;
    metal::float3 box = _e53 - _e54;
    uint tree_node_count = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    bhTree.radius = metal::max(metal::max(box.x, box.y), box.z) * 0.5;
    metal::atomic_store_explicit(&bhTree.bottom, tree_node_count, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&bhTree.max_depth, 0u, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&treeNode[tree_node_count].mass, -1, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&treeNode[tree_node_count].start, 0, metal::memory_order_relaxed);
    metal::float3 _e78 = bound_min_min;
    metal::float3 _e79 = bound_max_max;
    treeNode[tree_node_count].position = (_e78 + _e79) * 0.5;
    treeNode[tree_node_count].count = -1;
    treeNode[tree_node_count].sort = 0;
    return;
}


struct clear_1_Input {
};
kernel void clear_1_(
  metal::uint3 global_invocation_id_4 [[thread_position_in_grid]]
, device type_11 const& treeNode [[user(fake0)]]
, device type_9& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint i_1 = 0u;
    uint total_5 = 1 + (_buffer_sizes.size6 - 0 - 32) / 32;
    uint index_9 = global_invocation_id_4.x;
    if (index_9 >= total_5) {
        return;
    }
    bool loop_init_2 = true;
    while(true) {
        if (!loop_init_2) {
            uint _e19 = i_1;
            i_1 = _e19 + 1u;
        }
        loop_init_2 = false;
        uint _e16 = i_1;
        if (_e16 < 8u) {
        } else {
            break;
        }
        uint _e24 = i_1;
        metal::atomic_store_explicit(&treeChild[(index_9 * 8u) + _e24], -1, metal::memory_order_relaxed);
    }
    return;
}


struct tree_buildingInput {
};
kernel void tree_building(
  metal::uint3 global_invocation_id_5 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device BHTree& bhTree [[user(fake0)]]
, device type_11 const& treeNode [[user(fake0)]]
, device type_9& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint index_1 = {};
    int skip = 1;
    metal::float3 pos = {};
    metal::float3 dp = {};
    metal::float3 rdp = {};
    uint n = {};
    uint depth = 1u;
    uint local_max_depth = 1u;
    uint j = 0u;
    float root_r = {};
    float r = {};
    int limit = 10000;
    int ch = {};
    int locked_ch = {};
    int v = {};
    int v_1 = {};
    index_1 = global_invocation_id_5.x;
    uint node_count = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint tree_node_count_1 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    metal::float3 root_pos = treeNode[tree_node_count_1].position;
    uint inc = metal::min(node_count, 16384u);
    n = tree_node_count_1;
    float _e35 = bhTree.radius;
    root_r = _e35;
    float _e37 = root_r;
    r = _e37 * 0.5;
    while(true) {
        uint _e43 = index_1;
        if (_e43 < node_count) {
        } else {
            break;
        }
        int _e45 = limit;
        limit = _e45 - 1;
        int _e48 = limit;
        if (_e48 < 0) {
            return;
        }
        int _e51 = skip;
        if (_e51 != 0) {
            skip = 0;
            uint _e55 = index_1;
            metal::float3 _e58 = nodeSrc[_e55].position;
            pos = _e58;
            n = tree_node_count_1;
            float _e59 = root_r;
            r = _e59 * 0.5;
            depth = 1u;
            metal::float3 _e63 = pos;
            metal::float3 compare = metal::step(root_pos, _e63);
            j = (static_cast<uint>(compare.x) << 0u) | ((static_cast<uint>(compare.y) << 1u) + (static_cast<uint>(compare.z) << 2u));
            float _e79 = r;
            float _e82 = r;
            dp = metal::float3(-_e79) + (compare * (2.0 * _e82));
            metal::float3 _e87 = dp;
            rdp = root_pos + _e87;
        }
        uint _e89 = n;
        uint _e92 = j;
        int _e95 = metal::atomic_load_explicit(&treeChild[(_e89 * 8u) + _e92], metal::memory_order_relaxed);
        ch = _e95;
        while(true) {
            int _e97 = ch;
            if (_e97 >= static_cast<int>(node_count)) {
            } else {
                break;
            }
            int _e100 = ch;
            n = static_cast<uint>(_e100);
            uint _e102 = depth;
            depth = _e102 + 1u;
            float _e105 = r;
            r = _e105 * 0.5;
            metal::float3 _e108 = rdp;
            metal::float3 _e109 = pos;
            metal::float3 compare_1 = metal::step(_e108, _e109);
            j = (static_cast<uint>(compare_1.x) << 0u) | ((static_cast<uint>(compare_1.y) << 1u) + (static_cast<uint>(compare_1.z) << 2u));
            float _e125 = r;
            float _e128 = r;
            dp = metal::float3(-_e125) + (compare_1 * (2.0 * _e128));
            metal::float3 _e133 = rdp;
            metal::float3 _e134 = dp;
            rdp = _e133 + _e134;
            uint _e136 = n;
            uint _e139 = j;
            int _e142 = metal::atomic_load_explicit(&treeChild[(_e136 * 8u) + _e139], metal::memory_order_relaxed);
            ch = _e142;
        }
        uint _e143 = n;
        uint _e146 = j;
        uint locked = (_e143 * 8u) + _e146;
        locked_ch = -1;
        int _e150 = ch;
        if (_e150 != -2) {
            int _e153 = ch;
            if (_e153 == -1) {
                v = -1;
                int _e159 = v;
                uint _e160 = index_1;
                metal::atomic_compare_exchange_weak_explicit(&treeChild[locked], &_e159, static_cast<int>(_e160), metal::memory_order_relaxed, metal::memory_order_relaxed);
                if (_e159 == -1) {
                    uint _e165 = depth;
                    uint _e166 = local_max_depth;
                    local_max_depth = metal::max(_e165, _e166);
                    uint _e168 = index_1;
                    index_1 = _e168 + inc;
                    skip = 1;
                } else {
                    skip = 0;
                }
            } else {
                int _e172 = ch;
                v_1 = _e172;
                int _e175 = v_1;
                metal::atomic_compare_exchange_weak_explicit(&treeChild[locked], &_e175, -2, metal::memory_order_relaxed, metal::memory_order_relaxed);
                int _e178 = ch;
                if (_e178 == _e175) {
                    int _e180 = ch;
                    metal::float3 _e183 = nodeSrc[_e180].position;
                    metal::float3 _e184 = pos;
                    if (metal::all(_e183 == _e184)) {
                        uint _e187 = index_1;
                        metal::float3 _e190 = nodeSrc[_e187].position;
                        nodeSrc[_e187].position = _e190 + metal::float3(0.10000000149011612, -0.05000000074505806, 0.10000000149011612);
                        skip = 0;
                        int _e198 = ch;
                        metal::atomic_store_explicit(&treeChild[locked], _e198, metal::memory_order_relaxed);
                        break;
                    }
                    locked_ch = -1;
                    while(true) {
                        uint _e202 = metal::atomic_fetch_sub_explicit(&bhTree.bottom, 1u, metal::memory_order_relaxed);
                        uint cell = _e202 - 1u;
                        if (cell <= node_count) {
                            return;
                        }
                        int _e206 = locked_ch;
                        if (_e206 != -1) {
                            uint _e209 = n;
                            uint _e212 = j;
                            metal::atomic_store_explicit(&treeChild[(_e209 * 8u) + _e212], static_cast<int>(cell), metal::memory_order_relaxed);
                        }
                        int _e216 = locked_ch;
                        locked_ch = metal::max(_e216, static_cast<int>(cell));
                        uint _e219 = depth;
                        depth = _e219 + 1u;
                        n = cell;
                        float _e222 = r;
                        r = _e222 * 0.5;
                        metal::float3 _e225 = rdp;
                        int _e226 = ch;
                        metal::float3 _e229 = nodeSrc[_e226].position;
                        metal::float3 compare_2 = metal::step(_e225, _e229);
                        j = (static_cast<uint>(compare_2.x) << 0u) | ((static_cast<uint>(compare_2.y) << 1u) + (static_cast<uint>(compare_2.z) << 2u));
                        uint _e247 = j;
                        int _e250 = ch;
                        metal::atomic_store_explicit(&treeChild[(cell * 8u) + _e247], _e250, metal::memory_order_relaxed);
                        metal::float3 _e251 = rdp;
                        metal::float3 _e252 = pos;
                        metal::float3 compare_3 = metal::step(_e251, _e252);
                        j = (static_cast<uint>(compare_3.x) << 0u) | ((static_cast<uint>(compare_3.y) << 1u) + (static_cast<uint>(compare_3.z) << 2u));
                        float _e268 = r;
                        float _e271 = r;
                        dp = metal::float3(-_e268) + (compare_3 * (2.0 * _e271));
                        metal::float3 _e276 = rdp;
                        metal::float3 _e277 = dp;
                        rdp = _e276 + _e277;
                        uint _e279 = n;
                        uint _e282 = j;
                        int _e285 = metal::atomic_load_explicit(&treeChild[(_e279 * 8u) + _e282], metal::memory_order_relaxed);
                        ch = _e285;
                        int _e286 = ch;
                        if (_e286 < 0) {
                            break;
                        }
                    }
                    uint _e289 = n;
                    uint _e292 = j;
                    uint _e295 = index_1;
                    metal::atomic_store_explicit(&treeChild[(_e289 * 8u) + _e292], static_cast<int>(_e295), metal::memory_order_relaxed);
                    uint _e297 = depth;
                    uint _e298 = local_max_depth;
                    local_max_depth = metal::max(_e297, _e298);
                    uint _e300 = index_1;
                    index_1 = _e300 + inc;
                    skip = 2;
                }
            }
        }
        metal::threadgroup_barrier(metal::mem_flags::mem_threadgroup);
        int _e303 = skip;
        if (_e303 == 2) {
            int _e307 = locked_ch;
            metal::atomic_store_explicit(&treeChild[locked], _e307, metal::memory_order_relaxed);
        }
    }
    uint _e309 = local_max_depth;
    uint _e310 = metal::atomic_fetch_max_explicit(&bhTree.max_depth, _e309, metal::memory_order_relaxed);
    return;
}


struct clear_2_Input {
};
kernel void clear_2_(
  metal::uint3 global_invocation_id_6 [[thread_position_in_grid]]
, device type_11& treeNode [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint total_6 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    uint index_10 = global_invocation_id_6.x;
    if (index_10 >= total_6) {
        return;
    }
    treeNode[index_10].position = metal::float3(0.0);
    treeNode[index_10].count = -1;
    treeNode[index_10].sort = 0;
    metal::atomic_store_explicit(&treeNode[index_10].start, -1, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&treeNode[index_10].mass, -1, metal::memory_order_relaxed);
    return;
}


struct summarizationInput {
};
kernel void summarization(
  metal::uint3 global_invocation_id_7 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device BHTree const& bhTree [[user(fake0)]]
, device type_11& treeNode [[user(fake0)]]
, device type_9 const& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint index_2 = {};
    type_14 schild = {};
    type_14 smass = {};
    int j_1 = 0;
    uint ch_1 = {};
    uint i_2 = {};
    int cm = {};
    metal::float3 pos_1 = {};
    int cnt = {};
    int j_2 = 0;
    bool flag = false;
    uint i_3 = {};
    uint i_4 = {};
    int cm_1 = {};
    metal::float3 pos_2 = {};
    int cnt_1 = {};
    uint bottom = metal::atomic_load_explicit(&bhTree.bottom, metal::memory_order_relaxed);
    uint tree_node_count_2 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    uint node_count_1 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint inc_1 = metal::min(node_count_1, 16384u);
    index_2 = static_cast<uint>((static_cast<int>(bottom) & -32) + static_cast<int>(global_invocation_id_7.x));
    uint _e27 = index_2;
    if (_e27 < bottom) {
        uint _e29 = index_2;
        index_2 = _e29 + inc_1;
    }
    uint restart = index_2;
    bool loop_init_3 = true;
    while(true) {
        if (!loop_init_3) {
            int _e39 = j_1;
            j_1 = _e39 + 1;
        }
        loop_init_3 = false;
        int _e36 = j_1;
        if (_e36 < 5) {
        } else {
            break;
        }
        while(true) {
            uint _e42 = index_2;
            if (_e42 <= tree_node_count_2) {
            } else {
                break;
            }
            uint _e44 = index_2;
            int _e47 = metal::atomic_load_explicit(&treeNode[_e44].mass, metal::memory_order_relaxed);
            if (_e47 < 0) {
                ch_1 = 0u;
                i_2 = 0u;
                i_2 = 0u;
                bool loop_init_4 = true;
                while(true) {
                    if (!loop_init_4) {
                        uint _e58 = i_2;
                        i_2 = _e58 + 1u;
                    }
                    loop_init_4 = false;
                    uint _e55 = i_2;
                    if (_e55 < 8u) {
                    } else {
                        break;
                    }
                    uint _e61 = index_2;
                    uint _e64 = i_2;
                    int _e67 = metal::atomic_load_explicit(&treeChild[(_e61 * 8u) + _e64], metal::memory_order_relaxed);
                    ch_1 = static_cast<uint>(_e67);
                    uint _e69 = i_2;
                    uint _e71 = ch_1;
                    schild.inner[_e69] = static_cast<int>(_e71);
                    uint _e73 = i_2;
                    uint _e75 = ch_1;
                    int _e78 = metal::atomic_load_explicit(&treeNode[_e75].mass, metal::memory_order_relaxed);
                    smass.inner[_e73] = _e78;
                    uint _e79 = ch_1;
                    uint _e81 = i_2;
                    int _e83 = smass.inner[_e81];
                    if ((_e79 >= node_count_1) && (_e83 < 0)) {
                        break;
                    }
                }
                uint _e87 = i_2;
                if (_e87 == 8u) {
                    cm = 0;
                    pos_1 = metal::float3(0.0);
                    cnt = 0;
                    i_2 = 0u;
                    bool loop_init_5 = true;
                    while(true) {
                        if (!loop_init_5) {
                            uint _e101 = i_2;
                            i_2 = _e101 + 1u;
                        }
                        loop_init_5 = false;
                        uint _e98 = i_2;
                        if (_e98 < 8u) {
                        } else {
                            break;
                        }
                        uint _e104 = i_2;
                        int _e106 = schild.inner[_e104];
                        if (_e106 >= 0) {
                            uint _e109 = i_2;
                            int _e111 = schild.inner[_e109];
                            uint ch_2 = static_cast<uint>(_e111);
                            if (ch_2 >= node_count_1) {
                                uint _e114 = i_2;
                                int m = smass.inner[_e114];
                                int _e117 = cnt;
                                int _e120 = treeNode[ch_2].count;
                                cnt = _e117 + _e120;
                                metal::float3 _e122 = pos_1;
                                metal::float3 _e125 = treeNode[ch_2].position;
                                pos_1 = _e122 + (_e125 * static_cast<float>(m));
                                int _e129 = cm;
                                cm = _e129 + m;
                            } else {
                                uint _e133 = metal::atomic_load_explicit(&nodeSrc[ch_2].mass, metal::memory_order_relaxed);
                                int m_1 = static_cast<int>(_e133);
                                int _e135 = cnt;
                                cnt = _e135 + 1;
                                metal::float3 _e138 = pos_1;
                                metal::float3 _e141 = nodeSrc[ch_2].position;
                                pos_1 = _e138 + (_e141 * static_cast<float>(m_1));
                                int _e145 = cm;
                                cm = _e145 + m_1;
                            }
                        }
                    }
                    uint _e147 = index_2;
                    int _e150 = cnt;
                    treeNode[_e147].count = _e150;
                    uint _e151 = index_2;
                    metal::float3 _e154 = pos_1;
                    int _e155 = cm;
                    treeNode[_e151].position = _e154 / metal::float3(static_cast<float>(_e155));
                    uint _e159 = index_2;
                    int _e162 = cm;
                    metal::atomic_store_explicit(&treeNode[_e159].mass, _e162, metal::memory_order_relaxed);
                }
            }
            uint _e163 = index_2;
            index_2 = _e163 + inc_1;
        }
        index_2 = restart;
    }
    while(true) {
        uint _e169 = index_2;
        if (_e169 <= tree_node_count_2) {
        } else {
            break;
        }
        uint _e171 = index_2;
        uint _e175 = index_2;
        uint _e177 = index_2;
        int _e180 = metal::atomic_load_explicit(&treeNode[_e177].mass, metal::memory_order_relaxed);
        if (_e171 < node_count_1) {
            uint _e173 = index_2;
            index_2 = _e173 + inc_1;
        } else {
            if ((_e175 >= node_count_1) && (_e180 >= 0)) {
                uint _e184 = index_2;
                index_2 = _e184 + inc_1;
            } else {
                int _e186 = j_2;
                if (_e186 == 0) {
                    j_2 = 8;
                    i_3 = 0u;
                    bool loop_init_6 = true;
                    while(true) {
                        if (!loop_init_6) {
                            uint _e195 = i_3;
                            i_3 = _e195 + 1u;
                        }
                        loop_init_6 = false;
                        uint _e192 = i_3;
                        if (_e192 < 8u) {
                        } else {
                            break;
                        }
                        uint _e198 = index_2;
                        uint _e201 = i_3;
                        int ch_3 = metal::atomic_load_explicit(&treeChild[(_e198 * 8u) + _e201], metal::memory_order_relaxed);
                        uint _e205 = i_3;
                        schild.inner[_e205] = ch_3;
                        uint _e207 = i_3;
                        int _e211 = metal::atomic_load_explicit(&treeNode[ch_3].mass, metal::memory_order_relaxed);
                        smass.inner[_e207] = _e211;
                        uint _e214 = i_3;
                        int _e216 = smass.inner[_e214];
                        if ((ch_3 < static_cast<int>(node_count_1)) || (_e216 >= 0)) {
                            int _e220 = j_2;
                            j_2 = _e220 - 1;
                        }
                    }
                } else {
                    j_2 = 8;
                    i_4 = 0u;
                    bool loop_init_7 = true;
                    while(true) {
                        if (!loop_init_7) {
                            uint _e229 = i_4;
                            i_4 = _e229 + 1u;
                        }
                        loop_init_7 = false;
                        uint _e226 = i_4;
                        if (_e226 < 8u) {
                        } else {
                            break;
                        }
                        uint _e232 = i_4;
                        int _e234 = schild.inner[_e232];
                        uint ch_4 = static_cast<uint>(_e234);
                        uint _e236 = i_4;
                        int old_mass = smass.inner[_e236];
                        uint _e239 = i_4;
                        int _e243 = metal::atomic_load_explicit(&treeNode[ch_4].mass, metal::memory_order_relaxed);
                        smass.inner[_e239] = _e243;
                        uint _e248 = i_4;
                        int _e250 = smass.inner[_e248];
                        if (((ch_4 < node_count_1) || (old_mass >= 0)) || (_e250 >= 0)) {
                            int _e254 = j_2;
                            j_2 = _e254 - 1;
                        }
                    }
                }
                int _e257 = j_2;
                if (_e257 == 0) {
                    cm_1 = 0;
                    pos_2 = metal::float3(0.0);
                    cnt_1 = 0;
                    i_4 = 0u;
                    bool loop_init_8 = true;
                    while(true) {
                        if (!loop_init_8) {
                            uint _e271 = i_4;
                            i_4 = _e271 + 1u;
                        }
                        loop_init_8 = false;
                        uint _e268 = i_4;
                        if (_e268 < 8u) {
                        } else {
                            break;
                        }
                        uint _e274 = i_4;
                        int _e276 = schild.inner[_e274];
                        if (_e276 >= 0) {
                            uint _e279 = i_4;
                            int _e281 = schild.inner[_e279];
                            uint ch_5 = static_cast<uint>(_e281);
                            if (ch_5 >= node_count_1) {
                                uint _e284 = i_4;
                                int m_2 = smass.inner[_e284];
                                int _e287 = cnt_1;
                                int _e290 = treeNode[ch_5].count;
                                cnt_1 = _e287 + _e290;
                                metal::float3 _e292 = pos_2;
                                metal::float3 _e295 = treeNode[ch_5].position;
                                pos_2 = _e292 + (_e295 * static_cast<float>(m_2));
                                int _e299 = cm_1;
                                cm_1 = _e299 + m_2;
                            } else {
                                uint _e303 = metal::atomic_load_explicit(&nodeSrc[ch_5].mass, metal::memory_order_relaxed);
                                int m_3 = static_cast<int>(_e303);
                                int _e305 = cnt_1;
                                cnt_1 = _e305 + 1;
                                metal::float3 _e308 = pos_2;
                                metal::float3 _e311 = nodeSrc[ch_5].position;
                                pos_2 = _e308 + (_e311 * static_cast<float>(m_3));
                                int _e315 = cm_1;
                                cm_1 = _e315 + m_3;
                            }
                        }
                    }
                    uint _e317 = index_2;
                    int _e320 = cnt_1;
                    treeNode[_e317].count = _e320;
                    uint _e321 = index_2;
                    metal::float3 _e324 = pos_2;
                    int _e325 = cm_1;
                    treeNode[_e321].position = _e324 / metal::float3(static_cast<float>(_e325));
                    flag = true;
                }
            }
        }
        bool _e330 = flag;
        if (_e330) {
            uint _e331 = index_2;
            if (_e331 < node_count_1) {
                uint _e333 = index_2;
                int _e336 = cm_1;
                metal::atomic_store_explicit(&nodeSrc[_e333].mass, static_cast<uint>(_e336), metal::memory_order_relaxed);
            } else {
                uint _e338 = index_2;
                int _e341 = cm_1;
                metal::atomic_store_explicit(&treeNode[_e338].mass, _e341, metal::memory_order_relaxed);
            }
            uint _e342 = index_2;
            index_2 = _e342 + inc_1;
            flag = false;
        }
    }
    return;
}


struct sortInput {
};
kernel void sort(
  metal::uint3 global_invocation_id_8 [[thread_position_in_grid]]
, device type_6 const& nodeSrc [[user(fake0)]]
, device BHTree const& bhTree [[user(fake0)]]
, device type_11& treeNode [[user(fake0)]]
, device type_9& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint index_3 = {};
    int start = {};
    uint j_3 = {};
    uint i_5 = {};
    uint tree_node_count_3 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    uint bottom_1 = metal::atomic_load_explicit(&bhTree.bottom, metal::memory_order_relaxed);
    uint node_count_2 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint inc_2 = metal::min(node_count_2, 16384u);
    index_3 = ((tree_node_count_3 + 1u) - inc_2) + global_invocation_id_8.x;
    while(true) {
        uint _e25 = index_3;
        if (_e25 >= bottom_1) {
        } else {
            break;
        }
        uint _e27 = index_3;
        int _e30 = metal::atomic_load_explicit(&treeNode[_e27].start, metal::memory_order_relaxed);
        start = _e30;
        int _e32 = start;
        if (_e32 >= 0) {
            j_3 = 0u;
            i_5 = 0u;
            bool loop_init_9 = true;
            while(true) {
                if (!loop_init_9) {
                    uint _e42 = i_5;
                    i_5 = _e42 + 1u;
                }
                loop_init_9 = false;
                uint _e39 = i_5;
                if (_e39 < 8u) {
                } else {
                    break;
                }
                uint _e45 = index_3;
                uint _e48 = i_5;
                int ch_6 = metal::atomic_load_explicit(&treeChild[(_e45 * 8u) + _e48], metal::memory_order_relaxed);
                if (ch_6 >= 0) {
                    uint _e54 = i_5;
                    uint _e55 = j_3;
                    if (_e54 != _e55) {
                        uint _e57 = index_3;
                        uint _e60 = i_5;
                        metal::atomic_store_explicit(&treeChild[(_e57 * 8u) + _e60], -1, metal::memory_order_relaxed);
                        uint _e64 = index_3;
                        uint _e67 = j_3;
                        metal::atomic_store_explicit(&treeChild[(_e64 * 8u) + _e67], ch_6, metal::memory_order_relaxed);
                    }
                    uint _e70 = j_3;
                    j_3 = _e70 + 1u;
                    if (ch_6 >= static_cast<int>(node_count_2)) {
                        int _e77 = start;
                        metal::atomic_store_explicit(&treeNode[ch_6].start, _e77, metal::memory_order_relaxed);
                        int _e78 = start;
                        int _e81 = treeNode[ch_6].count;
                        start = _e78 + _e81;
                    } else {
                        int _e83 = start;
                        treeNode[_e83].sort = ch_6;
                        int _e86 = start;
                        start = _e86 + 1;
                    }
                }
            }
            uint _e89 = index_3;
            if (_e89 < inc_2) {
                break;
            }
            uint _e91 = index_3;
            index_3 = _e91 - inc_2;
        }
    }
    return;
}


struct electron_forceInput {
};
kernel void electron_force(
  metal::uint3 global_invocation_id_9 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device BHTree const& bhTree [[user(fake0)]]
, device type_11 const& treeNode [[user(fake0)]]
, device type_9 const& treeChild [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    type_16 spos = {};
    type_16 snode = {};
    type_17 sdq = {};
    uint j_4 = 1u;
    uint index_4 = {};
    metal::float3 af = {};
    uint depth_1 = {};
    uint pd = {};
    uint nd = {};
    metal::float3 dp_1 = {};
    uint tree_node_count_4 = (1 + (_buffer_sizes.size6 - 0 - 32) / 32) - 1u;
    uint node_count_3 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint inc_3 = metal::min(node_count_3, 16384u);
    float epssq = 0.05000000074505806 * 0.05000000074505806;
    float _e26 = bhTree.radius;
    float diameter = _e26 * 2.0;
    uint max_depth = metal::atomic_load_explicit(&bhTree.max_depth, metal::memory_order_relaxed);
    sdq.inner[0] = (diameter * diameter) * 1.0;
    bool loop_init_10 = true;
    while(true) {
        if (!loop_init_10) {
            uint _e39 = j_4;
            j_4 = _e39 + 1u;
        }
        loop_init_10 = false;
        uint _e37 = j_4;
        if (_e37 < max_depth) {
        } else {
            break;
        }
        uint _e42 = j_4;
        uint _e44 = j_4;
        float _e48 = sdq.inner[_e44 - 1u];
        sdq.inner[_e42] = _e48 * 0.25;
        uint _e51 = j_4;
        float _e55 = sdq.inner[_e51 - 1u];
        sdq.inner[_e51 - 1u] = _e55 + epssq;
    }
    float _e60 = sdq.inner[max_depth - 1u];
    sdq.inner[max_depth - 1u] = _e60 + epssq;
    if (max_depth < 48u) {
        index_4 = global_invocation_id_9.x;
        bool loop_init_11 = true;
        while(true) {
            if (!loop_init_11) {
                uint _e68 = index_4;
                index_4 = _e68 + inc_3;
            }
            loop_init_11 = false;
            uint _e66 = index_4;
            if (_e66 < node_count_3) {
            } else {
                break;
            }
            uint _e70 = index_4;
            int order = treeNode[_e70].sort;
            metal::float3 pos_4 = nodeSrc[order].position;
            af = metal::float3(0.0);
            depth_1 = 0u;
            spos.inner[0] = 0u;
            snode.inner[0] = tree_node_count_4;
            while(true) {
                uint _e87 = depth_1;
                uint _e89 = spos.inner[_e87];
                pd = _e89;
                uint _e91 = depth_1;
                uint _e93 = snode.inner[_e91];
                nd = _e93;
                while(true) {
                    uint _e95 = pd;
                    if (_e95 < 8u) {
                    } else {
                        break;
                    }
                    uint _e98 = nd;
                    uint _e101 = pd;
                    int n_1 = metal::atomic_load_explicit(&treeChild[(_e98 * 8u) + _e101], metal::memory_order_relaxed);
                    uint _e105 = pd;
                    pd = _e105 + 1u;
                    if (n_1 >= 0) {
                        uint n_2 = static_cast<uint>(n_1);
                        if (n_2 < node_count_3) {
                            metal::float3 _e115 = nodeSrc[n_2].position;
                            dp_1 = pos_4 - _e115;
                        } else {
                            metal::float3 _e119 = treeNode[n_2].position;
                            dp_1 = pos_4 - _e119;
                        }
                        metal::float3 _e121 = dp_1;
                        metal::float3 _e122 = dp_1;
                        float dist2_ = metal::dot(_e121, _e122);
                        if (n_2 < node_count_3) {
                            if (dist2_ > 0.0) {
                                uint _e129 = metal::atomic_load_explicit(&nodeSrc[order].mass, metal::memory_order_relaxed);
                                uint _e134 = metal::atomic_load_explicit(&nodeSrc[n_2].mass, metal::memory_order_relaxed);
                                float factor = ((0.0003000000142492354 * static_cast<float>(_e129)) * static_cast<float>(_e134)) / dist2_;
                                metal::float3 _e138 = af;
                                metal::float3 _e139 = dp_1;
                                af = _e138 + (_e139 * factor);
                            }
                        } else {
                            uint _e142 = depth_1;
                            float _e144 = sdq.inner[_e142];
                            if (dist2_ >= _e144) {
                                if (dist2_ > 0.0) {
                                    uint _e150 = metal::atomic_load_explicit(&nodeSrc[order].mass, metal::memory_order_relaxed);
                                    int _e155 = metal::atomic_load_explicit(&treeNode[n_2].mass, metal::memory_order_relaxed);
                                    float factor_1 = ((0.0003000000142492354 * static_cast<float>(_e150)) * static_cast<float>(_e155)) / dist2_;
                                    metal::float3 _e159 = af;
                                    metal::float3 _e160 = dp_1;
                                    af = _e159 + (_e160 * factor_1);
                                }
                            } else {
                                uint _e163 = depth_1;
                                uint _e165 = pd;
                                spos.inner[_e163] = _e165;
                                uint _e166 = depth_1;
                                uint _e168 = nd;
                                snode.inner[_e166] = _e168;
                                uint _e169 = depth_1;
                                depth_1 = _e169 + 1u;
                                pd = 0u;
                                nd = n_2;
                            }
                        }
                    } else {
                        pd = 8u;
                    }
                }
                uint _e174 = depth_1;
                if (_e174 == 0u) {
                    break;
                }
                uint _e177 = depth_1;
                depth_1 = _e177 - 1u;
            }
            metal::float3 _e182 = nodeSrc[order].force;
            metal::float3 _e183 = af;
            nodeSrc[order].force = _e182 + _e183;
        }
        return;
    } else {
        return;
    }
}


struct main_Input {
};
kernel void main_(
  metal::uint3 global_invocation_id_10 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, device type_9& springForceSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 spring_force = {};
    uint total_7 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_11 = global_invocation_id_10.x;
    if (index_11 >= total_7) {
        return;
    }
    metal::float3 vPos_3 = nodeSrc[index_11].position;
    uint _e19 = metal::atomic_load_explicit(&nodeSrc[index_11].mass, metal::memory_order_relaxed);
    float mass_1 = static_cast<float>(_e19);
    spring_force = metal::float3(0.0);
    int _e31 = metal::atomic_load_explicit(&springForceSrc[(index_11 * 3u) + 0u], metal::memory_order_relaxed);
    spring_force.x = as_type<float>(_e31);
    int _e39 = metal::atomic_load_explicit(&springForceSrc[(index_11 * 3u) + 1u], metal::memory_order_relaxed);
    spring_force.y = as_type<float>(_e39);
    int _e47 = metal::atomic_load_explicit(&springForceSrc[(index_11 * 3u) + 2u], metal::memory_order_relaxed);
    spring_force.z = as_type<float>(_e47);
    metal::atomic_store_explicit(&springForceSrc[(index_11 * 3u) + 0u], 0, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_11 * 3u) + 1u], 0, metal::memory_order_relaxed);
    metal::atomic_store_explicit(&springForceSrc[(index_11 * 3u) + 2u], 0, metal::memory_order_relaxed);
    metal::float3 _e67 = spring_force;
    spring_force = _e67 * 100.0;
    metal::float3 _e72 = nodeSrc[index_11].force;
    metal::float3 _e73 = spring_force;
    nodeSrc[index_11].force = _e72 + _e73;
    return;
}


struct displacementInput {
};
kernel void displacement(
  metal::uint3 global_invocation_id_11 [[thread_position_in_grid]]
, device type_6& nodeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint total_8 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_12 = global_invocation_id_11.x;
    if (index_12 >= total_8) {
        return;
    }
    metal::float3 _e17 = nodeSrc[index_12].force;
    metal::float3 _e20 = nodeSrc[index_12].prev_force;
    metal::float3 d_force = _e17 - _e20;
    float swg = metal::sqrt(metal::dot(d_force, d_force));
    uint _e31 = metal::atomic_load_explicit(&nodeSrc[index_12].mass, metal::memory_order_relaxed);
    float factor_2 = (1.0 / (1.0 + metal::sqrt(1.0 * swg))) / static_cast<float>(_e31);
    metal::float3 _e36 = nodeSrc[index_12].position;
    metal::float3 _e39 = nodeSrc[index_12].force;
    nodeSrc[index_12].position = _e36 + ((_e39 * factor_2) * 0.009999999776482582);
    metal::float3 _e48 = nodeSrc[index_12].force;
    nodeSrc[index_12].prev_force = _e48;
    nodeSrc[index_12].force = metal::float3(0.0);
    return;
}


struct randomizeInput {
};
kernel void randomize(
  metal::uint3 global_invocation_id_12 [[thread_position_in_grid]]
, constant Uniforms& uniforms [[user(fake0)]]
, device type_6& nodeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 vPos_1 = {};
    uint total_9 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_13 = global_invocation_id_12.x;
    if (index_13 >= total_9) {
        return;
    }
    metal::float3 _e16 = nodeSrc[index_13].position;
    vPos_1 = _e16;
    uint _e22 = uniforms.frame_num;
    float _e25 = random_xy(index_13, 0u + (3u * _e22));
    vPos_1.x = (_e25 * 2.0) - 1.0;
    uint _e34 = uniforms.frame_num;
    float _e37 = random_xy(index_13, 1u + (3u * _e34));
    vPos_1.y = (_e37 * 2.0) - 1.0;
    uint _e46 = uniforms.frame_num;
    float _e49 = random_xy(index_13, 2u + (3u * _e46));
    vPos_1.z = (_e49 * 2.0) - 1.0;
    metal::float3 _e56 = vPos_1;
    nodeSrc[index_13].position = _e56;
    nodeSrc[index_13].force = metal::float3(0.0);
    nodeSrc[index_13].prev_force = metal::float3(0.0);
    return;
}


struct copyInput {
};
kernel void copy(
  metal::uint3 global_invocation_id_13 [[thread_position_in_grid]]
, device type_6 const& nodeSrc [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    metal::float3 vPos_2 = {};
    uint total_10 = 1 + (_buffer_sizes.size1 - 0 - 48) / 48;
    uint index_14 = global_invocation_id_13.x;
    if (index_14 >= total_10) {
        return;
    }
    metal::float3 _e16 = nodeSrc[index_14].position;
    vPos_2 = _e16;
    return;
}


================================================
FILE: lib/naga/debug/CS_boids.wgsl
================================================
struct Node {
    position: vec3<f32>,
    force: vec3<f32>,
    prev_force: vec3<f32>,
    mass: atomic<u32>,
};

struct Uniforms {
    frame_num: u32,
};

struct Bound {
    bound_min: vec3<f32>,
    bound_max: vec3<f32>,
}

struct BHTree {
    max_depth: atomic<u32>,
    bottom: atomic<u32>,
    radius: f32,
}

struct BHTreeNode {
    position: vec3<f32>,
    mass: atomic<i32>,
    count: i32,
    start: atomic<i32>,
    sort: i32,
}

@group(0) @binding(0) var<uniform> uniforms: Uniforms;
@group(0) @binding(1) var<storage, read_write> nodeSrc: array<Node>;
@group(0) @binding(2) var<storage, read> edgeSrc: array<vec2<u32>>;
@group(0) @binding(3) var<storage, read_write> springForceSrc: array<atomic<i32>>;
@group(0) @binding(4) var<storage, read_write> bounding: array<Bound>;
@group(0) @binding(5) var<storage, read_write> bhTree: BHTree;
@group(0) @binding(6) var<storage, read_write> treeNode: array<BHTreeNode>;
@group(0) @binding(7) var<storage, read_write> treeChild: array<atomic<i32>>;

fn hash(s: u32) -> u32 {
    var t : u32 = s;
    t ^= 2747636419u;
    t *= 2654435769u;
    t ^= t >> 16u;
    t *= 2654435769u;
    t ^= t >> 16u;
    t *= 2654435769u;
    return t;
}

fn random(seed: u32) -> f32 {
    return f32(hash(seed)) / 4294967295.0; // 2^32-1
}

fn random_xy(seed_x: u32, seed_y: u32) -> f32 {
    return f32(hash(hash(seed_x) + seed_y)) / 4294967295.0; // 2^32-1
}

fn atomic_add_f32(springIndex: u32, updateValue: f32) {
    let atomic_ptr = &springForceSrc[springIndex];
    var new_u32 = bitcast<i32>(updateValue);
    var assumed: i32 = 0;
    var origin: i32;
    while (true) {
        origin = atomicCompareExchangeWeak(atomic_ptr, assumed, new_u32);
        if (origin == assumed) {
            break;
        }
        assumed = origin;
        new_u32 = bitcast<i32>(bitcast<f32>(origin) + updateValue);
    }
}

@compute
@workgroup_size(256)
fn gen_node(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {

    let total = arrayLength(&nodeSrc);
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var vPos : vec3<f32> = nodeSrc[index].position;

    vPos.x = random_xy(index, 0u + 3u * uniforms.frame_num) * 2.0 - 1.0;
    vPos.y = random_xy(index, 1u + 3u * uniforms.frame_num) * 2.0 - 1.0;
    vPos.z = random_xy(index, 2u + 3u * uniforms.frame_num) * 2.0 - 1.0;

    // Write back
    nodeSrc[index].position = vPos;
    nodeSrc[index].force = vec3<f32>(0.0);
    nodeSrc[index].prev_force = vec3<f32>(0.0);
    atomicStore(&nodeSrc[index].mass, 1u);
    atomicStore(&springForceSrc[index * 3u + 0u], 0);
    atomicStore(&springForceSrc[index * 3u + 1u], 0);
    atomicStore(&springForceSrc[index * 3u + 2u], 0);
    let target_node: u32 = index * 3u + 2u;
    let aa = atomicExchange(&springForceSrc[target_node], 0);
}

@compute
@workgroup_size(256)
fn cal_mass(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = arrayLength(&edgeSrc);
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var edge = edgeSrc[index];
    let source_node: u32 = edge[0];
    let target_node: u32 = edge[1];

    atomicAdd(&nodeSrc[source_node].mass, 1u);
    atomicAdd(&nodeSrc[target_node].mass, 1u);
}

@compute
@workgroup_size(256)
fn cal_gravity_force(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = arrayLength(&nodeSrc);
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    // TODO: Global Param
    let strong_gravity = true;
    let k_gravity = 1.0;

    let pos = nodeSrc[index].position;
    let mass = f32(atomicLoad(&nodeSrc[index].mass));
    var gravity_force: f32;
    if (strong_gravity) {
        gravity_force =  k_gravity * mass;
    } else {
        if (pos.x != 0.0 || pos.y != 0.0 || pos.z != 0.0) {
            gravity_force = k_gravity * mass * inverseSqrt(dot(pos, pos));
        }
        else {
            gravity_force = 0.0;
        }
    }
    nodeSrc[index].force +=  -pos * gravity_force;
//    nodeSrc[index].force +=  -pos * 2.;
}

@compute
@workgroup_size(256)
fn attractive_force(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = arrayLength(&edgeSrc);
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var edge = edgeSrc[index];
    let source_node: u32 = edge[0];
    let target_node: u32 = edge[1];

    var dir = nodeSrc[target_node].position - nodeSrc[source_node].position;

    atomic_add_f32(source_node * 3u + 0u, dir.x);
    atomic_add_f32(source_node * 3u + 1u, dir.y);
    atomic_add_f32(source_node * 3u + 2u, dir.z);
    atomic_add_f32(target_node * 3u + 0u, -dir.x);
    atomic_add_f32(target_node * 3u + 1u, -dir.y);
    atomic_add_f32(target_node * 3u + 2u, -dir.z);
}

var<workgroup> smin: array<vec3<f32>, 256>;
var<workgroup> smax: array<vec3<f32>, 256>;

@compute
@workgroup_size(256)
fn reduction_bounding(
    @builtin(local_invocation_index) local_index: u32,
    @builtin(global_invocation_id) global_id: vec3<u32>,
    @builtin(workgroup_id) group_id: vec3<u32>,
) {

    var index = global_id.x;
    let total = arrayLength(&nodeSrc);
    if (index >= total) {
        index = total - 1u;
    }

    smin[local_index] = nodeSrc[index].position;
    smax[local_index] = nodeSrc[index].position;
    workgroupBarrier();

    for (var s = 256u / 2u; s > 0u; s >>= 1u) {
        if (local_index < s) {
            let k = local_index + s;
            smin[local_index] = min(smin[local_index], smin[k]);
            smax[local_index] = max(smax[local_index], smax[k]);
        }
        workgroupBarrier();
    }

    if (local_index == 0u) {
        bounding[group_id.x].bound_min = smin[0];
        bounding[group_id.x].bound_max = smax[0];
    }
}

@compute
@workgroup_size(1)
fn bounding_box() {
    var bound_min_min = bounding[0].bound_min;
    var bound_max_max = bounding[0].bound_max;
    let node_group_count = u32(ceil(f32(arrayLength(&nodeSrc)) / 256.0));
    for (var i = 0u; i < node_group_count; i++) {
        bound_min_min = min(bound_min_min, bounding[i].bound_min);
        bound_max_max = max(bound_max_max, bounding[i].bound_max);
    }

    bounding[0].bound_min = bound_min_min;
    bounding[0].bound_max = bound_max_max;

    let box = bound_max_max - bound_min_min;
    let tree_node_count = arrayLength(&treeNode) - 1u;
    bhTree.radius = max(max(box.x, box.y), box.z) * 0.5;
    atomicStore(&bhTree.bottom, tree_node_count);
    atomicStore(&bhTree.max_depth, 0u);
    atomicStore(&treeNode[tree_node_count].mass, -1);
    atomicStore(&treeNode[tree_node_count].start, 0);
    treeNode[tree_node_count].position = (bound_min_min + bound_max_max) * 0.5;
    treeNode[tree_node_count].count = -1;
    treeNode[tree_node_count].sort = 0;
}

@compute
@workgroup_size(256)
fn clear_1(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = arrayLength(&treeNode);
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    for (var i = 0u; i < 8u; i++) {
        atomicStore(&treeChild[index * 8u + i], -1);
    }
}

@compute
@workgroup_size(256)
fn tree_building(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    var index = global_invocation_id.x;
    let node_count = arrayLength(&nodeSrc);
    let tree_node_count = arrayLength(&treeNode) - 1u;
    let root_pos = treeNode[tree_node_count].position;
    let inc = min(node_count, 16384u); // should change

    var skip = 1;
    var pos: vec3<f32>;
    var dp: vec3<f32>;
    var rdp: vec3<f32>;
    var n = tree_node_count;
    var depth = 1u;
    var local_max_depth = 1u;
    var j = 0u;
    var root_r = bhTree.radius;
    var r = root_r * 0.5;

    var limit = 10000;

    while (index < node_count) {

        limit--;
        if (limit < 0) {
            return;
        }

        if (skip != 0) {
            skip = 0;
            pos = nodeSrc[index].position;

            n = tree_node_count;
            r = root_r * 0.5;
            depth = 1u;
            
            let compare = step(root_pos, pos);
            j = (u32(compare.x) << 0u) | (u32(compare.y) << 1u) + (u32(compare.z) << 2u); // 八个象限
            dp = -r + compare * (2.0 * r);
            rdp = root_pos + dp; // 所在象限的原点
        }

        // atomicAdd(&treeChild[n * 8u + j], 0); // ...
        var ch = atomicLoad(&treeChild[n * 8u + j]);

        // 迭代至叶节点
        while (ch >= i32(node_count)) { 
            n = u32(ch);
            depth++;
            r *= 0.5;

            let compare = step(rdp, pos);
            j = (u32(compare.x) << 0u) | (u32(compare.y) << 1u) + (u32(compare.z) << 2u);
            dp = -r + compare * (2.0 * r);

            rdp += dp;
            ch = atomicLoad(&treeChild[n * 8u + j]);
        }

        let locked = n * 8u + j;
        var locked_ch = -1;

        // 非 lock 状态
        if (ch != -2) {
            if (ch == -1) {
                var v = -1;
                let origin = atomicCompareExchangeWeak(&treeChild[locked], v, i32(index));
                if (origin == -1) {
                    local_max_depth = max(depth, local_max_depth);
                    index += inc;
                    skip = 1;
                } else {
                     skip = 0;
                 }
            } else {
                // 格子已被占用，将其设置为 lock 状态
                var v = ch;
                let origin = atomicCompareExchangeWeak(&treeChild[locked], v, -2);
                if (ch == origin) {
                    // lock 成功，如果两个点的位置相同，做一点微小偏移就行了
                    if (all(nodeSrc[ch].position == pos)) {
                        nodeSrc[index].position += vec3<f32>(0.1, -0.05, 0.1);
                        skip = 0;
                        atomicStore(&treeChild[locked], ch);
                        break;
                    }

                    // 两个点位置不同，则开始分裂
                    locked_ch = -1;
                    loop {

                        // 1. create new cell
                        let cell = atomicSub(&bhTree.bottom, 1u) - 1u;
                        if (cell <= node_count) {
                            return;
                        }
                        
                        if (locked_ch != -1) {
                            atomicStore(&treeChild[n * 8u + j], i32(cell));
                        }
                        locked_ch = max(locked_ch, i32(cell));

                        // 2. make newly created cell current
                        depth++;
                        n = cell;
                        r *= 0.5;

                        // 3. insert old body into current quadrant
                        let compare = step(rdp, nodeSrc[ch].position);
                        j = (u32(compare.x) << 0u) | (u32(compare.y) << 1u) + (u32(compare.z) << 2u);

                        atomicStore(&treeChild[cell * 8u + j], ch);

                        // 4. determin center + quadrant for cell of new body
                        let compare = step(rdp, pos);
                        j = (u32(compare.x) << 0u) | (u32(compare.y) << 1u) + (u32(compare.z) << 2u);
                        dp = -r + compare * (2.0 * r);

                        rdp += dp;

                        // 5. visit this cell/chec if in use (possibly by old body)
                        ch = atomicLoad(&treeChild[n * 8u + j]);

                        if (ch < 0) {
                            break;
                        }

                    };
                    atomicStore(&treeChild[n * 8u + j], i32(index));
                    local_max_depth = max(depth, local_max_depth);
                    index += inc;
                    skip = 2;
                }
            }
        }
        workgroupBarrier();
        if (skip == 2) {
            atomicStore(&treeChild[locked], locked_ch);
        }
    }
    atomicMax(&bhTree.max_depth, local_max_depth);
}

@compute
@workgroup_size(256)
fn clear_2(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = arrayLength(&treeNode) - 1u;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }
    treeNode[index].position = vec3<f32>(0.0);
    treeNode[index].count = -1;
    treeNode[index].sort = 0;
    atomicStore(&treeNode[index].start, -1);
    atomicStore(&treeNode[index].mass, -1);
}

@compute
@workgroup_size(256)
fn summarization(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let bottom = atomicLoad(&bhTree.bottom);
    let tree_node_count = arrayLength(&treeNode) - 1u;
    let node_count = arrayLength(&nodeSrc);
    let inc = min(node_count, 16384u);
    var index = u32((i32(bottom) & -32) + i32(global_invocation_id.x));
    if (index < bottom) {
        index += inc;
    }

    // TODO: ch bounds check
    var schild: array<i32, 8>;
    var smass: array<i32, 8>;
    let restart = index;
    for (var j = 0; j < 5; j++) {
        while (index <= tree_node_count) {
            if (atomicLoad(&treeNode[index].mass) < 0) {
                var ch = 0u;
                var i = 0u;
                for (i = 0u; i < 8u; i++) {
                    ch = u32(atomicLoad(&treeChild[index * 8u + i]));
                    schild[i] = i32(ch);
                    // atomicAdd(&treeNode[ch].mass, 0);
                    smass[i] = atomicLoad(&treeNode[ch].mass);
                    if (ch >= node_count && smass[i] < 0) {
                        break;
                    }
                }
                if (i == 8u) {
                    var cm = 0;
                    var pos = vec3<f32>(0.0);
                    var cnt = 0;
                    for (i = 0u; i < 8u; i++) {
                        if (schild[i] >= 0) {
                            let ch = u32(schild[i]);
                            if (ch >= node_count) {
                                let m = smass[i];
                                cnt += treeNode[ch].count;
                                pos += treeNode[ch].position * f32(m);
                                cm += m;
                            } else {
                                let m = i32(atomicLoad(&nodeSrc[ch].mass));
                                cnt += 1;
                                pos += nodeSrc[ch].position * f32(m);
                                cm += m;
                            }
                        }
                    }
                    treeNode[index].count = cnt;
                    treeNode[index].position = pos / f32(cm);
                    // workgroupBarrier();
                    atomicStore(&treeNode[index].mass, cm);
                }
            }
            index += inc;
        }
        index = restart;
    }

    var j = 0;
    var flag = false;
    while (index <= tree_node_count) {
        if (index < node_count) {
            index += inc;
        } else if (index >= node_count && atomicLoad(&treeNode[index].mass) >= 0) {
            index += inc;
        } else {
            if (j == 0) {
                j = 8;
                for (var i = 0u; i < 8u; i++) {
                    let ch = atomicLoad(&treeChild[index * 8u + i]);
                    schild[i] = ch;
                    smass[i] = atomicLoad(&treeNode[ch].mass);
                    if (ch < i32(node_count) || smass[i] >= 0) {
                        j--;
                    }
                }
            } else {
                j = 8;
                for (var i = 0u; i < 8u; i++) {
                    let ch = u32(schild[i]);
                    let old_mass = smass[i];
                    smass[i] = atomicLoad(&treeNode[ch].mass);
                    if (ch < node_count || old_mass >= 0 || smass[i] >= 0) {
                        j--;
                    }
                }
            }

            if (j == 0) {
                var cm = 0;
                var pos = vec3<f32>(0.0);
                var cnt = 0;
                for (i = 0u; i < 8u; i++) {
                    if (schild[i] >= 0) {
                        let ch = u32(schild[i]);
                        if (ch >= node_count) {
                            let m = smass[i];
                            cnt += treeNode[ch].count;
                            pos += treeNode[ch].position * f32(m);
                            cm += m;
                        } else {
                            let m = i32(atomicLoad(&nodeSrc[ch].mass));
                            cnt += 1;
                            pos += nodeSrc[ch].position * f32(m);
                            cm += m;
                        }
                    }
                }
                treeNode[index].count = cnt;
                treeNode[index].position = pos / f32(cm);
                flag = true;
            }
        }
        // workgroupBarrier();
        if (flag) {
            if (index < node_count) {
                atomicStore(&nodeSrc[index].mass, u32(cm));
            } else {
                atomicStore(&treeNode[index].mass, cm);
            }
            index += inc;
            flag = false;
        }
    }
}

@compute
@workgroup_size(256)
fn sort(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let tree_node_count = arrayLength(&treeNode) - 1u;
    let bottom = atomicLoad(&bhTree.bottom);
    let node_count = arrayLength(&nodeSrc);
    let inc = min(node_count, 16384u);
    var index = tree_node_count + 1u - inc + global_invocation_id.x;

    while (index >= bottom) {
        var start = atomicLoad(&treeNode[index].start);
        if (start >= 0) {
            var j = 0u;
            for (var i = 0u; i < 8u; i++) {
                let ch = atomicLoad(&treeChild[index * 8u + i]);
                if (ch >= 0) {
                    // 把子节点集中到开头
                    if (i != j) {
                        atomicStore(&treeChild[index * 8u + i], -1);
                        atomicStore(&treeChild[index * 8u + j], ch);
                    }
                    j++;
                    if (ch >= i32(node_count)) {
                        atomicStore(&treeNode[ch].start, start);
                        start += treeNode[ch].count;
                    } else {
                        treeNode[start].sort = ch;
                        start++;
                    }
                }
            }
            if (index < inc) {
                break;
            }
            index -= inc;
        }
    }
}

@compute
@workgroup_size(256)
fn electron_force(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let tree_node_count = arrayLength(&treeNode) - 1u;
    let node_count = arrayLength(&nodeSrc);
    let inc = min(node_count, 16384u);

    // TODO: Global Param
    let scale = 0.0003;

    var spos: array<u32, 48>;
    var snode: array<u32, 48>;
    var sdq: array<f32, 48>;

    let itolsq = 1.0;
    let epssq = 0.05 * 0.05;
    let diameter = bhTree.radius * 2.0;
    let max_depth = atomicLoad(&bhTree.max_depth);
    sdq[0] = diameter * diameter * itolsq;
    for (var j = 1u; j < max_depth; j++) {
        sdq[j] = sdq[j - 1u] * 0.25;
        sdq[j - 1u] += epssq;
    }
    sdq[max_depth - 1u] += epssq;

    if (max_depth < 48u) {
        for (var index = global_invocation_id.x; index < node_count; index += inc) {
            let order = treeNode[index].sort;
            let pos = nodeSrc[order].position;
            var af = vec3<f32>(0.0);

            var depth = 0u;
            spos[0] = 0u;
            snode[0] = tree_node_count;

            loop {
                var pd = spos[depth];
                var nd = snode[depth];
                while (pd < 8u) {
                    let n = atomicLoad(&treeChild[nd * 8u + pd]);
                    pd++;

                    if (n >= 0) {
                        let n = u32(n);
                        var dp: vec3<f32>;
                        if (n < node_count) {
                            dp = pos - nodeSrc[n].position;
                        } else {
                            dp = pos - treeNode[n].position;
                        }
                        let dist2 = dot(dp, dp);

                        if (n < node_count) {
                            if (dist2 > 0.0) {
                                let factor = scale * f32(atomicLoad(&nodeSrc[order].mass)) * f32(atomicLoad(&nodeSrc[n].mass)) / dist2;
                                af += dp * factor;
                            }
                        } else if (dist2 >= sdq[depth]) {
                            if (dist2 > 0.0) {
                                let factor = scale * f32(atomicLoad(&nodeSrc[order].mass)) * f32(atomicLoad(&treeNode[n].mass)) / dist2;
                                af += dp * factor; 
                            }
                        } else {
                            spos[depth] = pd;
                            snode[depth] = nd;
                            depth++;
                            pd = 0u;
                            nd = n;
                        }
                    } else {
                        pd = 8u;
                    }
                }
                if (depth == 0u) {
                    break;
                }
                depth--;
            }
            nodeSrc[order].force += af;
        }
    }
}

@compute
@workgroup_size(256)
fn main(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = arrayLength(&nodeSrc);
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    let vPos: vec3<f32> = nodeSrc[index].position;
    let mass = f32(atomicLoad(&nodeSrc[index].mass));

    // TODO: Global Param
    let scaling_ratio = 0.0002;

    var spring_force = vec3<f32>(0.0);
    spring_force.x = bitcast<f32>(atomicLoad(&springForceSrc[index * 3u + 0u]));
    spring_force.y = bitcast<f32>(atomicLoad(&springForceSrc[index * 3u + 1u]));
    spring_force.z = bitcast<f32>(atomicLoad(&springForceSrc[index * 3u + 2u]));

    atomicStore(&springForceSrc[index * 3u + 0u], 0);
    atomicStore(&springForceSrc[index * 3u + 1u], 0);
    atomicStore(&springForceSrc[index * 3u + 2u], 0);
    spring_force *= 100.0;

    nodeSrc[index].force += spring_force;
}

@compute
@workgroup_size(256)
fn displacement(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = arrayLength(&nodeSrc);
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    // TODO: Global Param
    let global_speed = 1.0;

    let d_force = nodeSrc[index].force - nodeSrc[index].prev_force;
    let swg = sqrt(dot(d_force, d_force));
    let factor = global_speed / (1.0 + sqrt(global_speed * swg)) / f32(nodeSrc[index].mass);
    
    nodeSrc[index].position += nodeSrc[index].force * factor * 0.01;
    nodeSrc[index].prev_force = nodeSrc[index].force;
    nodeSrc[index].force = vec3<f32>(0.0);
}

@compute
@workgroup_size(256)
fn randomize(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = arrayLength(&nodeSrc);
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var vPos : vec3<f32> = nodeSrc[index].position;

    vPos.x = random_xy(index, 0u + 3u * uniforms.frame_num) * 2.0 - 1.0;
    vPos.y = random_xy(index, 1u + 3u * uniforms.frame_num) * 2.0 - 1.0;
    vPos.z = random_xy(index, 2u + 3u * uniforms.frame_num) * 2.0 - 1.0;

    // Write back
    nodeSrc[index].position = vPos;
    nodeSrc[index].force = vec3<f32>(0.0);
    nodeSrc[index].prev_force = vec3<f32>(0.0);
}

@compute
@workgroup_size(256)
fn copy(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = arrayLength(&nodeSrc);
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var vPos : vec3<f32> = nodeSrc[index].position;
    // var vVel : vec3<f32> = nodeSrc[index].velocity;

  // Write back
    //  nodeSrc[index] = Node(vPos, vVel);
}

================================================
FILE: lib/naga/debug/atomic.metal
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct _mslBufferSizes {
    uint size0;
};

typedef metal::atomic_int type_1[1];

void atomic_add_f32_(
    uint springIndex,
    float updateValue,
    device type_1& arr,
    constant _mslBufferSizes& _buffer_sizes
) {
    int new_u32_ = {};
    int assumed = 0;
    int origin = {};
    new_u32_ = as_type<int>(updateValue);
    while(true) {
        if (true) {
        } else {
            break;
        }
        int _e10 = assumed;
        int _e11 = new_u32_;
        metal::atomic_compare_exchange_weak_explicit(&arr[springIndex], &_e10, _e11, metal::memory_order_relaxed, metal::memory_order_relaxed);
        origin = _e10;
        int _e13 = origin;
        int _e14 = assumed;
        if (_e13 == _e14) {
            break;
        }
        int _e16 = origin;
        assumed = _e16;
        int _e17 = origin;
        new_u32_ = as_type<int>(as_type<float>(_e17) + updateValue);
    }
    return;
}

void cas(
    device type_1& arr,
    constant _mslBufferSizes& _buffer_sizes
) {
    int v = -1;
    metal::atomic_compare_exchange_weak_explicit(&arr[0], &-1, 1, metal::memory_order_relaxed, metal::memory_order_relaxed);
    int _e10 = v;
    metal::atomic_compare_exchange_weak_explicit(&arr[0], &_e10, 1, metal::memory_order_relaxed, metal::memory_order_relaxed);
    return;
}


================================================
FILE: lib/naga/debug/atomic.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 11
OpCapability Shader
OpCapability Linkage
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpSource GLSL 450
OpName %7 "f"
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  1.0
%5 = OpConstant  %4  2.0
%8 = OpTypeFunction %2
%7 = OpFunction  %2  None %8
%6 = OpLabel
OpBranch %9
%9 = OpLabel
%10 = OpExtInst  %4  %1 Step %3 %5
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/debug/atomic.wgsl
================================================
fn f() {
    let x = 1.0;
    let y = 2.0;
    let z = step(x, y);
}

================================================
FILE: lib/naga/fuzz/.gitignore
================================================
target
corpus
artifacts


================================================
FILE: lib/naga/fuzz/Cargo.toml
================================================
[package]
name = "naga-fuzz"
version = "0.0.0"
authors = ["Automatically generated"]
publish = false
edition = "2018"

[package.metadata]
cargo-fuzz = true

[dependencies]
arbitrary = { version = "1.0.2", features = ["derive"] }
libfuzzer-sys = "0.4"

[dependencies.naga]
path = ".."
features = ["arbitrary", "spv-in", "wgsl-in", "glsl-in", "validate"]

# Prevent this from interfering with workspaces
[workspace]
members = ["."]

[[bin]]
name = "spv_parser"
path = "fuzz_targets/spv_parser.rs"
test = false
doc = false

[[bin]]
name = "wgsl_parser"
path = "fuzz_targets/wgsl_parser.rs"
test = false
doc = false

[[bin]]
name = "glsl_parser"
path = "fuzz_targets/glsl_parser.rs"
test = false
doc = false

[[bin]]
name = "ir"
path = "fuzz_targets/ir.rs"
test = false
doc = false


================================================
FILE: lib/naga/fuzz/fuzz_targets/glsl_parser.rs
================================================
#![no_main]
use arbitrary::Arbitrary;
use libfuzzer_sys::fuzz_target;
use naga::{
    front::glsl::{Options, Parser},
    FastHashMap, ShaderStage,
};

#[derive(Debug, Arbitrary)]
enum ShaderStageProxy {
    Vertex,
    Fragment,
    Compute,
}

impl From<ShaderStageProxy> for ShaderStage {
    fn from(proxy: ShaderStageProxy) -> Self {
        match proxy {
            ShaderStageProxy::Vertex => ShaderStage::Vertex,
            ShaderStageProxy::Fragment => ShaderStage::Fragment,
            ShaderStageProxy::Compute => ShaderStage::Compute,
        }
    }
}

#[derive(Debug, Arbitrary)]
struct OptionsProxy {
    pub stage: ShaderStageProxy,
    pub defines: FastHashMap<String, String>,
}

impl From<OptionsProxy> for Options {
    fn from(proxy: OptionsProxy) -> Self {
        Options {
            stage: proxy.stage.into(),
            defines: proxy.defines,
        }
    }
}

fuzz_target!(|data: (OptionsProxy, String)| {
    let (options, source) = data;
    // Ensure the parser can handle potentially malformed strings without crashing.
    let mut parser = Parser::default();
    let _result = parser.parse(&options.into(), &source);
});


================================================
FILE: lib/naga/fuzz/fuzz_targets/ir.rs
================================================
#![no_main]
use libfuzzer_sys::fuzz_target;

fuzz_target!(|module: naga::Module| {
    use naga::valid as v;
    // Check if the module validates without errors.
    //TODO: may also fuzz the flags and capabilities
    let mut validator = v::Validator::new(v::ValidationFlags::all(), v::Capabilities::empty());
    let _result = validator.validate(&module);
});


================================================
FILE: lib/naga/fuzz/fuzz_targets/spv_parser.rs
================================================
#![no_main]
use libfuzzer_sys::fuzz_target;
use naga::front::spv::{Options, Parser};

fuzz_target!(|data: Vec<u32>| {
    // Ensure the parser can handle potentially malformed data without crashing.
    let options = Options::default();
    let _result = Parser::new(data.into_iter(), &options).parse();
});


================================================
FILE: lib/naga/fuzz/fuzz_targets/wgsl_parser.rs
================================================
#![no_main]
use libfuzzer_sys::fuzz_target;
use naga::front::wgsl::Parser;

fuzz_target!(|data: String| {
    // Ensure the parser can handle potentially malformed strings without crashing.
    let _result = Parser::new().parse(&data);
});


================================================
FILE: lib/naga/src/arena.rs
================================================
use std::{cmp::Ordering, fmt, hash, marker::PhantomData, num::NonZeroU32, ops};

/// An unique index in the arena array that a handle points to.
/// The "non-zero" part ensures that an `Option<Handle<T>>` has
/// the same size and representation as `Handle<T>`.
type Index = NonZeroU32;

use crate::Span;
use indexmap::set::IndexSet;

#[derive(Clone, Copy, Debug, thiserror::Error, PartialEq)]
#[error("Handle {index} of {kind} is either not present, or inaccessible yet")]
pub struct BadHandle {
    pub kind: &'static str,
    pub index: usize,
}

/// A strongly typed reference to an arena item.
///
/// A `Handle` value can be used as an index into an [`Arena`] or [`UniqueArena`].
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
#[cfg_attr(
    any(feature = "serialize", feature = "deserialize"),
    serde(transparent)
)]
#[cfg_attr(feature = "arbitrary", derive(arbitrary::Arbitrary))]
pub struct Handle<T> {
    index: Index,
    #[cfg_attr(any(feature = "serialize", feature = "deserialize"), serde(skip))]
    marker: PhantomData<T>,
}

impl<T> Clone for Handle<T> {
    fn clone(&self) -> Self {
        Handle {
            index: self.index,
            marker: self.marker,
        }
    }
}

impl<T> Copy for Handle<T> {}

impl<T> PartialEq for Handle<T> {
    fn eq(&self, other: &Self) -> bool {
        self.index == other.index
    }
}

impl<T> Eq for Handle<T> {}

impl<T> PartialOrd for Handle<T> {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        self.index.partial_cmp(&other.index)
    }
}

impl<T> Ord for Handle<T> {
    fn cmp(&self, other: &Self) -> Ordering {
        self.index.cmp(&other.index)
    }
}

impl<T> fmt::Debug for Handle<T> {
    fn fmt(&self, formatter: &mut fmt::Formatter) -> fmt::Result {
        write!(formatter, "[{}]", self.index)
    }
}

impl<T> hash::Hash for Handle<T> {
    fn hash<H: hash::Hasher>(&self, hasher: &mut H) {
        self.index.hash(hasher)
    }
}

impl<T> Handle<T> {
    #[cfg(test)]
    pub const DUMMY: Self = Handle {
        index: unsafe { NonZeroU32::new_unchecked(u32::MAX) },
        marker: PhantomData,
    };

    pub(crate) const fn new(index: Index) -> Self {
        Handle {
            index,
            marker: PhantomData,
        }
    }

    /// Returns the zero-based index of this handle.
    pub const fn index(self) -> usize {
        let index = self.index.get() - 1;
        index as usize
    }

    /// Convert a `usize` index into a `Handle<T>`.
    fn from_usize(index: usize) -> Self {
        use std::convert::TryFrom;

        let handle_index = u32::try_from(index + 1)
            .ok()
            .and_then(Index::new)
            .expect("Failed to insert into arena. Handle overflows");
        Handle::new(handle_index)
    }

    /// Convert a `usize` index into a `Handle<T>`, without range checks.
    const unsafe fn from_usize_unchecked(index: usize) -> Self {
        Handle::new(Index::new_unchecked((index + 1) as u32))
    }
}

/// A strongly typed range of handles.
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
#[cfg_attr(
    any(feature = "serialize", feature = "deserialize"),
    serde(transparent)
)]
#[cfg_attr(feature = "arbitrary", derive(arbitrary::Arbitrary))]
pub struct Range<T> {
    inner: ops::Range<u32>,
    #[cfg_attr(any(feature = "serialize", feature = "deserialize"), serde(skip))]
    marker: PhantomData<T>,
}

impl<T> Clone for Range<T> {
    fn clone(&self) -> Self {
        Range {
            inner: self.inner.clone(),
            marker: self.marker,
        }
    }
}

impl<T> fmt::Debug for Range<T> {
    fn fmt(&self, formatter: &mut fmt::Formatter) -> fmt::Result {
        write!(formatter, "[{}..{}]", self.inner.start + 1, self.inner.end)
    }
}

impl<T> Iterator for Range<T> {
    type Item = Handle<T>;
    fn next(&mut self) -> Option<Self::Item> {
        if self.inner.start < self.inner.end {
            self.inner.start += 1;
            Some(Handle {
                index: NonZeroU32::new(self.inner.start).unwrap(),
                marker: self.marker,
            })
        } else {
            None
        }
    }
}

/// An arena holding some kind of component (e.g., type, constant,
/// instruction, etc.) that can be referenced.
///
/// Adding new items to the arena produces a strongly-typed [`Handle`].
/// The arena can be indexed using the given handle to obtain
/// a reference to the stored item.
#[cfg_attr(feature = "clone", derive(Clone))]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "serialize", serde(transparent))]
#[cfg_attr(feature = "arbitrary", derive(arbitrary::Arbitrary))]
#[cfg_attr(test, derive(PartialEq))]
pub struct Arena<T> {
    /// Values of this arena.
    data: Vec<T>,
    #[cfg(feature = "span")]
    #[cfg_attr(feature = "serialize", serde(skip))]
    span_info: Vec<Span>,
}

impl<T> Default for Arena<T> {
    fn default() -> Self {
        Self::new()
    }
}

impl<T: fmt::Debug> fmt::Debug for Arena<T> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_map().entries(self.iter()).finish()
    }
}

impl<T> Arena<T> {
    /// Create a new arena with no initial capacity allocated.
    pub const fn new() -> Self {
        Arena {
            data: Vec::new(),
            #[cfg(feature = "span")]
            span_info: Vec::new(),
        }
    }

    /// Extracts the inner vector.
    #[allow(clippy::missing_const_for_fn)] // ignore due to requirement of #![feature(const_precise_live_drops)]
    pub fn into_inner(self) -> Vec<T> {
        self.data
    }

    /// Returns the current number of items stored in this arena.
    pub fn len(&self) -> usize {
        self.data.len()
    }

    /// Returns `true` if the arena contains no elements.
    pub fn is_empty(&self) -> bool {
        self.data.is_empty()
    }

    /// Returns an iterator over the items stored in this arena, returning both
    /// the item's handle and a reference to it.
    pub fn iter(&self) -> impl DoubleEndedIterator<Item = (Handle<T>, &T)> {
        self.data
            .iter()
            .enumerate()
            .map(|(i, v)| unsafe { (Handle::from_usize_unchecked(i), v) })
    }

    /// Returns a iterator over the items stored in this arena,
    /// returning both the item's handle and a mutable reference to it.
    pub fn iter_mut(&mut self) -> impl DoubleEndedIterator<Item = (Handle<T>, &mut T)> {
        self.data
            .iter_mut()
            .enumerate()
            .map(|(i, v)| unsafe { (Handle::from_usize_unchecked(i), v) })
    }

    /// Adds a new value to the arena, returning a typed handle.
    pub fn append(&mut self, value: T, span: Span) -> Handle<T> {
        #[cfg(not(feature = "span"))]
        let _ = span;
        let index = self.data.len();
        self.data.push(value);
        #[cfg(feature = "span")]
        self.span_info.push(span);
        Handle::from_usize(index)
    }

    /// Fetch a handle to an existing type.
    pub fn fetch_if<F: Fn(&T) -> bool>(&self, fun: F) -> Option<Handle<T>> {
        self.data
            .iter()
            .position(fun)
            .map(|index| unsafe { Handle::from_usize_unchecked(index) })
    }

    /// Adds a value with a custom check for uniqueness:
    /// returns a handle pointing to
    /// an existing element if the check succeeds, or adds a new
    /// element otherwise.
    pub fn fetch_if_or_append<F: Fn(&T, &T) -> bool>(
        &mut self,
        value: T,
        span: Span,
        fun: F,
    ) -> Handle<T> {
        if let Some(index) = self.data.iter().position(|d| fun(d, &value)) {
            unsafe { Handle::from_usize_unchecked(index) }
        } else {
            self.append(value, span)
        }
    }

    /// Adds a value with a check for uniqueness, where the check is plain comparison.
    pub fn fetch_or_append(&mut self, value: T, span: Span) -> Handle<T>
    where
        T: PartialEq,
    {
        self.fetch_if_or_append(value, span, T::eq)
    }

    pub fn try_get(&self, handle: Handle<T>) -> Result<&T, BadHandle> {
        self.data.get(handle.index()).ok_or_else(|| BadHandle {
            kind: std::any::type_name::<T>(),
            index: handle.index(),
        })
    }

    /// Get a mutable reference to an element in the arena.
    pub fn get_mut(&mut self, handle: Handle<T>) -> &mut T {
        self.data.get_mut(handle.index()).unwrap()
    }

    /// Get the range of handles from a particular number of elements to the end.
    pub fn range_from(&self, old_length: usize) -> Range<T> {
        Range {
            inner: old_length as u32..self.data.len() as u32,
            marker: PhantomData,
        }
    }

    /// Clears the arena keeping all allocations
    pub fn clear(&mut self) {
        self.data.clear()
    }

    pub fn get_span(&self, handle: Handle<T>) -> Span {
        #[cfg(feature = "span")]
        {
            *self
                .span_info
                .get(handle.index())
                .unwrap_or(&Span::default())
        }
        #[cfg(not(feature = "span"))]
        {
            let _ = handle;
            Span::default()
        }
    }
}

#[cfg(feature = "deserialize")]
impl<'de, T> serde::Deserialize<'de> for Arena<T>
where
    T: serde::Deserialize<'de>,
{
    fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
    where
        D: serde::Deserializer<'de>,
    {
        let data = Vec::deserialize(deserializer)?;
        #[cfg(feature = "span")]
        let span_info = std::iter::repeat(Span::default())
            .take(data.len())
            .collect();

        Ok(Self {
            data,
            #[cfg(feature = "span")]
            span_info,
        })
    }
}

impl<T> ops::Index<Handle<T>> for Arena<T> {
    type Output = T;
    fn index(&self, handle: Handle<T>) -> &T {
        &self.data[handle.index()]
    }
}

impl<T> ops::IndexMut<Handle<T>> for Arena<T> {
    fn index_mut(&mut self, handle: Handle<T>) -> &mut T {
        &mut self.data[handle.index()]
    }
}

impl<T> ops::Index<Range<T>> for Arena<T> {
    type Output = [T];
    fn index(&self, range: Range<T>) -> &[T] {
        &self.data[range.inner.start as usize..range.inner.end as usize]
    }
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn append_non_unique() {
        let mut arena: Arena<u8> = Arena::new();
        let t1 = arena.append(0, Default::default());
        let t2 = arena.append(0, Default::default());
        assert!(t1 != t2);
        assert!(arena[t1] == arena[t2]);
    }

    #[test]
    fn append_unique() {
        let mut arena: Arena<u8> = Arena::new();
        let t1 = arena.append(0, Default::default());
        let t2 = arena.append(1, Default::default());
        assert!(t1 != t2);
        assert!(arena[t1] != arena[t2]);
    }

    #[test]
    fn fetch_or_append_non_unique() {
        let mut arena: Arena<u8> = Arena::new();
        let t1 = arena.fetch_or_append(0, Default::default());
        let t2 = arena.fetch_or_append(0, Default::default());
        assert!(t1 == t2);
        assert!(arena[t1] == arena[t2])
    }

    #[test]
    fn fetch_or_append_unique() {
        let mut arena: Arena<u8> = Arena::new();
        let t1 = arena.fetch_or_append(0, Default::default());
        let t2 = arena.fetch_or_append(1, Default::default());
        assert!(t1 != t2);
        assert!(arena[t1] != arena[t2]);
    }
}

/// An arena whose elements are guaranteed to be unique.
///
/// A `UniqueArena` holds a set of unique values of type `T`, each with an
/// associated [`Span`]. Inserting a value returns a `Handle<T>`, which can be
/// used to index the `UniqueArena` and obtain shared access to the `T` element.
/// Access via a `Handle` is an array lookup - no hash lookup is necessary.
///
/// The element type must implement `Eq` and `Hash`. Insertions of equivalent
/// elements, according to `Eq`, all return the same `Handle`.
///
/// Once inserted, elements may not be mutated.
///
/// `UniqueArena` is similar to [`Arena`]: If `Arena` is vector-like,
/// `UniqueArena` is `HashSet`-like.
#[cfg_attr(feature = "clone", derive(Clone))]
pub struct UniqueArena<T> {
    set: IndexSet<T>,

    /// Spans for the elements, indexed by handle.
    ///
    /// The length of this vector is always equal to `set.len()`. `IndexSet`
    /// promises that its elements "are indexed in a compact range, without
    /// holes in the range 0..set.len()", so we can always use the indices
    /// returned by insertion as indices into this vector.
    #[cfg(feature = "span")]
    span_info: Vec<Span>,
}

impl<T> UniqueArena<T> {
    /// Create a new arena with no initial capacity allocated.
    pub fn new() -> Self {
        UniqueArena {
            set: IndexSet::new(),
            #[cfg(feature = "span")]
            span_info: Vec::new(),
        }
    }

    /// Return the current number of items stored in this arena.
    pub fn len(&self) -> usize {
        self.set.len()
    }

    /// Return `true` if the arena contains no elements.
    pub fn is_empty(&self) -> bool {
        self.set.is_empty()
    }

    /// Clears the arena, keeping all allocations.
    pub fn clear(&mut self) {
        self.set.clear();
        #[cfg(feature = "span")]
        self.span_info.clear();
    }

    /// Return the span associated with `handle`.
    ///
    /// If a value has been inserted multiple times, the span returned is the
    /// one provided with the first insertion.
    ///
    /// If the `span` feature is not enabled, always return `Span::default`.
    /// This can be detected with [`Span::is_defined`].
    pub fn get_span(&self, handle: Handle<T>) -> Span {
        #[cfg(feature = "span")]
        {
            *self
                .span_info
                .get(handle.index())
                .unwrap_or(&Span::default())
        }
        #[cfg(not(feature = "span"))]
        {
            let _ = handle;
            Span::default()
        }
    }
}

impl<T: Eq + hash::Hash> UniqueArena<T> {
    /// Returns an iterator over the items stored in this arena, returning both
    /// the item's handle and a reference to it.
    pub fn iter(&self) -> impl DoubleEndedIterator<Item = (Handle<T>, &T)> {
        self.set.iter().enumerate().map(|(i, v)| {
            let position = i + 1;
            let index = unsafe { Index::new_unchecked(position as u32) };
            (Handle::new(index), v)
        })
    }

    /// Insert a new value into the arena.
    ///
    /// Return a [`Handle<T>`], which can be used to index this arena to get a
    /// shared reference to the element.
    ///
    /// If this arena already contains an element that is `Eq` to `value`,
    /// return a `Handle` to the existing element, and drop `value`.
    ///
    /// When the `span` feature is enabled, if `value` is inserted into the
    /// arena, associate `span` with it. An element's span can be retrieved with
    /// the [`get_span`] method.
    ///
    /// [`Handle<T>`]: Handle
    /// [`get_span`]: UniqueArena::get_span
    pub fn insert(&mut self, value: T, span: Span) -> Handle<T> {
        let (index, added) = self.set.insert_full(value);

        #[cfg(feature = "span")]
        {
            if added {
                debug_assert!(index == self.span_info.len());
                self.span_info.push(span);
            }

            debug_assert!(self.set.len() == self.span_info.len());
        }

        #[cfg(not(feature = "span"))]
        let _ = (span, added);

        Handle::from_usize(index)
    }

    /// Return this arena's handle for `value`, if present.
    ///
    /// If this arena already contains an element equal to `value`,
    /// return its handle. Otherwise, return `None`.
    pub fn get(&self, value: &T) -> Option<Handle<T>> {
        self.set
            .get_index_of(value)
            .map(|index| unsafe { Handle::from_usize_unchecked(index) })
    }

    /// Return this arena's value at `handle`, if that is a valid handle.
    pub fn get_handle(&self, handle: Handle<T>) -> Result<&T, BadHandle> {
        self.set.get_index(handle.index()).ok_or_else(|| BadHandle {
            kind: std::any::type_name::<T>(),
            index: handle.index(),
        })
    }
}

impl<T> Default for UniqueArena<T> {
    fn default() -> Self {
        Self::new()
    }
}

impl<T: fmt::Debug + Eq + hash::Hash> fmt::Debug for UniqueArena<T> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        f.debug_map().entries(self.iter()).finish()
    }
}

impl<T> ops::Index<Handle<T>> for UniqueArena<T> {
    type Output = T;
    fn index(&self, handle: Handle<T>) -> &T {
        &self.set[handle.index()]
    }
}

#[cfg(feature = "serialize")]
impl<T> serde::Serialize for UniqueArena<T>
where
    T: Eq + hash::Hash + serde::Serialize,
{
    fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
    where
        S: serde::Serializer,
    {
        self.set.serialize(serializer)
    }
}

#[cfg(feature = "deserialize")]
impl<'de, T> serde::Deserialize<'de> for UniqueArena<T>
where
    T: Eq + hash::Hash + serde::Deserialize<'de>,
{
    fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
    where
        D: serde::Deserializer<'de>,
    {
        let set = IndexSet::deserialize(deserializer)?;
        #[cfg(feature = "span")]
        let span_info = std::iter::repeat(Span::default()).take(set.len()).collect();

        Ok(Self {
            set,
            #[cfg(feature = "span")]
            span_info,
        })
    }
}

//Note: largely borrowed from `HashSet` implementation
#[cfg(feature = "arbitrary")]
impl<'a, T> arbitrary::Arbitrary<'a> for UniqueArena<T>
where
    T: Eq + hash::Hash + arbitrary::Arbitrary<'a>,
{
    fn arbitrary(u: &mut arbitrary::Unstructured<'a>) -> arbitrary::Result<Self> {
        let mut arena = Self::default();
        for elem in u.arbitrary_iter()? {
            arena.set.insert(elem?);
            #[cfg(feature = "span")]
            arena.span_info.push(Span::UNDEFINED);
        }
        Ok(arena)
    }

    fn arbitrary_take_rest(u: arbitrary::Unstructured<'a>) -> arbitrary::Result<Self> {
        let mut arena = Self::default();
        for elem in u.arbitrary_take_rest_iter()? {
            arena.set.insert(elem?);
            #[cfg(feature = "span")]
            arena.span_info.push(Span::UNDEFINED);
        }
        Ok(arena)
    }

    #[inline]
    fn size_hint(depth: usize) -> (usize, Option<usize>) {
        let depth_hint = <usize as arbitrary::Arbitrary>::size_hint(depth);
        arbitrary::size_hint::and(depth_hint, (0, None))
    }
}


================================================
FILE: lib/naga/src/back/dot/mod.rs
================================================
/*!
Backend for [DOT][dot] (Graphviz).

This backend writes a graph in the DOT language, for the ease
of IR inspection and debugging.

[dot]: https://graphviz.org/doc/info/lang.html
*/

use crate::{
    arena::Handle,
    valid::{FunctionInfo, ModuleInfo},
};

use std::{
    borrow::Cow,
    fmt::{Error as FmtError, Write as _},
};

/// Configuration options for the dot backend
#[derive(Default)]
pub struct Options {
    /// Only emit function bodies
    pub cfg_only: bool,
}

/// Identifier used to address a graph node
type NodeId = usize;

/// Stores the target nodes for control flow statements
#[derive(Default, Clone, Copy)]
struct Targets {
    /// The node, if some, where continue operations will land
    continue_target: Option<usize>,
    /// The node, if some, where break operations will land
    break_target: Option<usize>,
}

/// Stores information about the graph of statements
#[derive(Default)]
struct StatementGraph {
    /// List of node names
    nodes: Vec<&'static str>,
    /// List of edges of the control flow, the items are defined as
    /// (from, to, label)
    flow: Vec<(NodeId, NodeId, &'static str)>,
    /// List of implicit edges of the control flow, used for jump
    /// operations such as continue or break, the items are defined as
    /// (from, to, label, color_id)
    jumps: Vec<(NodeId, NodeId, &'static str, usize)>,
    /// List of dependency relationships between a statement node and
    /// expressions
    dependencies: Vec<(NodeId, Handle<crate::Expression>, &'static str)>,
    /// List of expression emitted by statement node
    emits: Vec<(NodeId, Handle<crate::Expression>)>,
    /// List of function call by statement node
    calls: Vec<(NodeId, Handle<crate::Function>)>,
}

impl StatementGraph {
    /// Adds a new block to the statement graph, returning the first and last node, respectively
    fn add(&mut self, block: &[crate::Statement], targets: Targets) -> (NodeId, NodeId) {
        use crate::Statement as S;

        // The first node of the block isn't a statement but a virtual node
        let root = self.nodes.len();
        self.nodes.push(if root == 0 { "Root" } else { "Node" });
        // Track the last placed node, this will be returned to the caller and
        // will also be used to generate the control flow edges
        let mut last_node = root;
        for statement in block {
            // Reserve a new node for the current statement and link it to the
            // node of the previous statement
            let id = self.nodes.len();
            self.flow.push((last_node, id, ""));
            self.nodes.push(""); // reserve space

            // Track the node identifier for the merge node, the merge node is
            // the last node of a statement, normally this is the node itself,
            // but for control flow statements such as `if`s and `switch`s this
            // is a virtual node where all branches merge back.
            let mut merge_id = id;

            self.nodes[id] = match *statement {
                S::Emit(ref range) => {
                    for handle in range.clone() {
                        self.emits.push((id, handle));
                    }
                    "Emit"
                }
                S::Kill => "Kill", //TODO: link to the beginning
                S::Break => {
                    // Try to link to the break target, otherwise produce
                    // a broken connection
                    if let Some(target) = targets.break_target {
                        self.jumps.push((id, target, "Break", 5))
                    } else {
                        self.jumps.push((id, root, "Broken", 7))
                    }
                    "Break"
                }
                S::Continue => {
                    // Try to link to the continue target, otherwise produce
                    // a broken connection
                    if let Some(target) = targets.continue_target {
                        self.jumps.push((id, target, "Continue", 5))
                    } else {
                        self.jumps.push((id, root, "Broken", 7))
                    }
                    "Continue"
                }
                S::Barrier(_flags) => "Barrier",
                S::Block(ref b) => {
                    let (other, last) = self.add(b, targets);
                    self.flow.push((id, other, ""));
                    // All following nodes should connect to the end of the block
                    // statement so change the merge id to it.
                    merge_id = last;
                    "Block"
                }
                S::If {
                    condition,
                    ref accept,
                    ref reject,
                } => {
                    self.dependencies.push((id, condition, "condition"));
                    let (accept_id, accept_last) = self.add(accept, targets);
                    self.flow.push((id, accept_id, "accept"));
                    let (reject_id, reject_last) = self.add(reject, targets);
                    self.flow.push((id, reject_id, "reject"));

                    // Create a merge node, link the branches to it and set it
                    // as the merge node to make the next statement node link to it
                    merge_id = self.nodes.len();
                    self.nodes.push("Merge");
                    self.flow.push((accept_last, merge_id, ""));
                    self.flow.push((reject_last, merge_id, ""));

                    "If"
                }
                S::Switch {
                    selector,
                    ref cases,
                } => {
                    self.dependencies.push((id, selector, "selector"));

                    // Create a merge node and set it as the merge node to make
                    // the next statement node link to it
                    merge_id = self.nodes.len();
                    self.nodes.push("Merge");

                    // Create a new targets structure and set the break target
                    // to the merge node
                    let mut targets = targets;
                    targets.break_target = Some(merge_id);

                    for case in cases {
                        let (case_id, case_last) = self.add(&case.body, targets);
                        let label = match case.value {
                            crate::SwitchValue::Integer(_) => "case",
                            crate::SwitchValue::Default => "default",
                        };
                        self.flow.push((id, case_id, label));
                        // Link the last node of the branch to the merge node
                        self.flow.push((case_last, merge_id, ""));
                    }
                    "Switch"
                }
                S::Loop {
                    ref body,
                    ref continuing,
                    break_if,
                } => {
                    // Create a new targets structure and set the break target
                    // to the merge node, this must happen before generating the
                    // continuing block since it can break.
                    let mut targets = targets;
                    targets.break_target = Some(id);

                    let (continuing_id, continuing_last) = self.add(continuing, targets);

                    // Set the the continue target to the beginning
                    // of the newly generated continuing block
                    targets.continue_target = Some(continuing_id);

                    let (body_id, body_last) = self.add(body, targets);

                    self.flow.push((id, body_id, "body"));

                    // Link the last node of the body to the continuing block
                    self.flow.push((body_last, continuing_id, "continuing"));
                    // Link the last node of the continuing block back to the
                    // beginning of the loop body
                    self.flow.push((continuing_last, body_id, "continuing"));

                    if let Some(expr) = break_if {
                        self.dependencies.push((continuing_id, expr, "break if"));
                    }

                    "Loop"
                }
                S::Return { value } => {
                    if let Some(expr) = value {
                        self.dependencies.push((id, expr, "value"));
                    }
                    "Return"
                }
                S::Store { pointer, value } => {
                    self.dependencies.push((id, value, "value"));
                    self.emits.push((id, pointer));
                    "Store"
                }
                S::ImageStore {
                    image,
                    coordinate,
                    array_index,
                    value,
                } => {
                    self.dependencies.push((id, image, "image"));
                    self.dependencies.push((id, coordinate, "coordinate"));
                    if let Some(expr) = array_index {
                        self.dependencies.push((id, expr, "array_index"));
                    }
                    self.dependencies.push((id, value, "value"));
                    "ImageStore"
                }
                S::Call {
                    function,
                    ref arguments,
                    result,
                } => {
                    for &arg in arguments {
                        self.dependencies.push((id, arg, "arg"));
                    }
                    if let Some(expr) = result {
                        self.emits.push((id, expr));
                    }
                    self.calls.push((id, function));
                    "Call"
                }
                S::Atomic {
                    pointer,
                    ref fun,
                    value,
                    result,
                } => {
                    self.emits.push((id, result));
                    self.dependencies.push((id, pointer, "pointer"));
                    self.dependencies.push((id, value, "value"));
                    if let crate::AtomicFunction::Exchange { compare: Some(cmp) } = *fun {
                        self.dependencies.push((id, cmp, "cmp"));
                    }
                    "Atomic"
                }
            };
            // Set the last node to the merge node
            last_node = merge_id;
        }
        (root, last_node)
    }
}

#[allow(clippy::manual_unwrap_or)]
fn name(option: &Option<String>) -> &str {
    match *option {
        Some(ref name) => name,
        None => "",
    }
}

/// set39 color scheme from <https://graphviz.org/doc/info/colors.html>
const COLORS: &[&str] = &[
    "white", // pattern starts at 1
    "#8dd3c7", "#ffffb3", "#bebada", "#fb8072", "#80b1d3", "#fdb462", "#b3de69", "#fccde5",
    "#d9d9d9",
];

fn write_fun(
    output: &mut String,
    prefix: String,
    fun: &crate::Function,
    info: Option<&FunctionInfo>,
    options: &Options,
) -> Result<(), FmtError> {
    writeln!(output, "\t\tnode [ style=filled ]")?;

    if !options.cfg_only {
        for (handle, var) in fun.local_variables.iter() {
            writeln!(
                output,
                "\t\t{}_l{} [ shape=hexagon label=\"{:?} '{}'\" ]",
                prefix,
                handle.index(),
                handle,
                name(&var.name),
            )?;
        }

        write_function_expressions(output, &prefix, fun, info)?;
    }

    let mut sg = StatementGraph::default();
    sg.add(&fun.body, Targets::default());
    for (index, label) in sg.nodes.into_iter().enumerate() {
        writeln!(
            output,
            "\t\t{}_s{} [ shape=square label=\"{}\" ]",
            prefix, index, label,
        )?;
    }
    for (from, to, label) in sg.flow {
        writeln!(
            output,
            "\t\t{}_s{} -> {}_s{} [ arrowhead=tee label=\"{}\" ]",
            prefix, from, prefix, to, label,
        )?;
    }
    for (from, to, label, color_id) in sg.jumps {
        writeln!(
            output,
            "\t\t{}_s{} -> {}_s{} [ arrowhead=tee style=dashed color=\"{}\" label=\"{}\" ]",
            prefix, from, prefix, to, COLORS[color_id], label,
        )?;
    }

    if !options.cfg_only {
        for (to, expr, label) in sg.dependencies {
            writeln!(
                output,
                "\t\t{}_e{} -> {}_s{} [ label=\"{}\" ]",
                prefix,
                expr.index(),
                prefix,
                to,
                label,
            )?;
        }
        for (from, to) in sg.emits {
            writeln!(
                output,
                "\t\t{}_s{} -> {}_e{} [ style=dotted ]",
                prefix,
                from,
                prefix,
                to.index(),
            )?;
        }
    }

    for (from, function) in sg.calls {
        writeln!(
            output,
            "\t\t{}_s{} -> f{}_s0",
            prefix,
            from,
            function.index(),
        )?;
    }

    Ok(())
}

fn write_function_expressions(
    output: &mut String,
    prefix: &str,
    fun: &crate::Function,
    info: Option<&FunctionInfo>,
) -> Result<(), FmtError> {
    enum Payload<'a> {
        Arguments(&'a [Handle<crate::Expression>]),
        Local(Handle<crate::LocalVariable>),
        Global(Handle<crate::GlobalVariable>),
    }

    let mut edges = crate::FastHashMap::<&str, _>::default();
    let mut payload = None;
    for (handle, expression) in fun.expressions.iter() {
        use crate::Expression as E;
        let (label, color_id) = match *expression {
            E::Access { base, index } => {
                edges.insert("base", base);
                edges.insert("index", index);
                ("Access".into(), 1)
            }
            E::AccessIndex { base, index } => {
                edges.insert("base", base);
                (format!("AccessIndex[{}]", index).into(), 1)
            }
            E::Constant(_) => ("Constant".into(), 2),
            E::Splat { size, value } => {
                edges.insert("value", value);
                (format!("Splat{:?}", size).into(), 3)
            }
            E::Swizzle {
                size,
                vector,
                pattern,
            } => {
                edges.insert("vector", vector);
                (format!("Swizzle{:?}", &pattern[..size as usize]).into(), 3)
            }
            E::Compose { ref components, .. } => {
                payload = Some(Payload::Arguments(components));
                ("Compose".into(), 3)
            }
            E::FunctionArgument(index) => (format!("Argument[{}]", index).into(), 1),
            E::GlobalVariable(h) => {
                payload = Some(Payload::Global(h));
                ("Global".into(), 2)
            }
            E::LocalVariable(h) => {
                payload = Some(Payload::Local(h));
                ("Local".into(), 1)
            }
            E::Load { pointer } => {
                edges.insert("pointer", pointer);
                ("Load".into(), 4)
            }
            E::ImageSample {
                image,
                sampler,
                gather,
                coordinate,
                array_index,
                offset: _,
                level,
                depth_ref,
            } => {
                edges.insert("image", image);
                edges.insert("sampler", sampler);
                edges.insert("coordinate", coordinate);
                if let Some(expr) = array_index {
                    edges.insert("array_index", expr);
                }
                match level {
                    crate::SampleLevel::Auto => {}
                    crate::SampleLevel::Zero => {}
                    crate::SampleLevel::Exact(expr) => {
                        edges.insert("level", expr);
                    }
                    crate::SampleLevel::Bias(expr) => {
                        edges.insert("bias", expr);
                    }
                    crate::SampleLevel::Gradient { x, y } => {
                        edges.insert("grad_x", x);
                        edges.insert("grad_y", y);
                    }
                }
                if let Some(expr) = depth_ref {
                    edges.insert("depth_ref", expr);
                }
                let string = match gather {
                    Some(component) => Cow::Owned(format!("ImageGather{:?}", component)),
                    _ => Cow::Borrowed("ImageSample"),
                };
                (string, 5)
            }
            E::ImageLoad {
                image,
                coordinate,
                array_index,
                sample,
                level,
            } => {
                edges.insert("image", image);
                edges.insert("coordinate", coordinate);
                if let Some(expr) = array_index {
                    edges.insert("array_index", expr);
                }
                if let Some(sample) = sample {
                    edges.insert("sample", sample);
                }
                if let Some(level) = level {
                    edges.insert("level", level);
                }
                ("ImageLoad".into(), 5)
            }
            E::ImageQuery { image, query } => {
                edges.insert("image", image);
                let args = match query {
                    crate::ImageQuery::Size { level } => {
                        if let Some(expr) = level {
                            edges.insert("level", expr);
                        }
                        Cow::from("ImageSize")
                    }
                    _ => Cow::Owned(format!("{:?}", query)),
                };
                (args, 7)
            }
            E::Unary { op, expr } => {
                edges.insert("expr", expr);
                (format!("{:?}", op).into(), 6)
            }
            E::Binary { op, left, right } => {
                edges.insert("left", left);
                edges.insert("right", right);
                (format!("{:?}", op).into(), 6)
            }
            E::Select {
                condition,
                accept,
                reject,
            } => {
                edges.insert("condition", condition);
                edges.insert("accept", accept);
                edges.insert("reject", reject);
                ("Select".into(), 3)
            }
            E::Derivative { axis, expr } => {
                edges.insert("", expr);
                (format!("d{:?}", axis).into(), 8)
            }
            E::Relational { fun, argument } => {
                edges.insert("arg", argument);
                (format!("{:?}", fun).into(), 6)
            }
            E::Math {
                fun,
                arg,
                arg1,
                arg2,
                arg3,
            } => {
                edges.insert("arg", arg);
                if let Some(expr) = arg1 {
                    edges.insert("arg1", expr);
                }
                if let Some(expr) = arg2 {
                    edges.insert("arg2", expr);
                }
                if let Some(expr) = arg3 {
                    edges.insert("arg3", expr);
                }
                (format!("{:?}", fun).into(), 7)
            }
            E::As {
                kind,
                expr,
                convert,
            } => {
                edges.insert("", expr);
                let string = match convert {
                    Some(width) => format!("Convert<{:?},{}>", kind, width),
                    None => format!("Bitcast<{:?}>", kind),
                };
                (string.into(), 3)
            }
            E::CallResult(_function) => ("CallResult".into(), 4),
            E::AtomicResult { .. } => ("AtomicResult".into(), 4),
            E::ArrayLength(expr) => {
                edges.insert("", expr);
                ("ArrayLength".into(), 7)
            }
        };

        // give uniform expressions an outline
        let color_attr = match info {
            Some(info) if info[handle].uniformity.non_uniform_result.is_none() => "fillcolor",
            _ => "color",
        };
        writeln!(
            output,
            "\t\t{}_e{} [ {}=\"{}\" label=\"{:?} {}\" ]",
            prefix,
            handle.index(),
            color_attr,
            COLORS[color_id],
            handle,
            label,
        )?;

        for (key, edge) in edges.drain() {
            writeln!(
                output,
                "\t\t{}_e{} -> {}_e{} [ label=\"{}\" ]",
                prefix,
                edge.index(),
                prefix,
                handle.index(),
                key,
            )?;
        }
        match payload.take() {
            Some(Payload::Arguments(list)) => {
                write!(output, "\t\t{{")?;
                for &comp in list {
                    write!(output, " {}_e{}", prefix, comp.index())?;
                }
                writeln!(output, " }} -> {}_e{}", prefix, handle.index())?;
            }
            Some(Payload::Local(h)) => {
                writeln!(
                    output,
                    "\t\t{}_l{} -> {}_e{}",
                    prefix,
                    h.index(),
                    prefix,
                    handle.index(),
                )?;
            }
            Some(Payload::Global(h)) => {
                writeln!(
                    output,
                    "\t\tg{} -> {}_e{} [fillcolor=gray]",
                    h.index(),
                    prefix,
                    handle.index(),
                )?;
            }
            None => {}
        }
    }

    Ok(())
}

/// Write shader module to a [`String`].
pub fn write(
    module: &crate::Module,
    mod_info: Option<&ModuleInfo>,
    options: Options,
) -> Result<String, FmtError> {
    use std::fmt::Write as _;

    let mut output = String::new();
    output += "digraph Module {\n";

    if !options.cfg_only {
        writeln!(output, "\tsubgraph cluster_globals {{")?;
        writeln!(output, "\t\tlabel=\"Globals\"")?;
        for (handle, var) in module.global_variables.iter() {
            writeln!(
                output,
                "\t\tg{} [ shape=hexagon label=\"{:?} {:?}/'{}'\" ]",
                handle.index(),
                handle,
                var.space,
                name(&var.name),
            )?;
        }
        writeln!(output, "\t}}")?;
    }

    for (handle, fun) in module.functions.iter() {
        let prefix = format!("f{}", handle.index());
        writeln!(output, "\tsubgraph cluster_{} {{", prefix)?;
        writeln!(
            output,
            "\t\tlabel=\"Function{:?}/'{}'\"",
            handle,
            name(&fun.name)
        )?;
        let info = mod_info.map(|a| &a[handle]);
        write_fun(&mut output, prefix, fun, info, &options)?;
        writeln!(output, "\t}}")?;
    }
    for (ep_index, ep) in module.entry_points.iter().enumerate() {
        let prefix = format!("ep{}", ep_index);
        writeln!(output, "\tsubgraph cluster_{} {{", prefix)?;
        writeln!(output, "\t\tlabel=\"{:?}/'{}'\"", ep.stage, ep.name)?;
        let info = mod_info.map(|a| a.get_entry_point(ep_index));
        write_fun(&mut output, prefix, &ep.function, info, &options)?;
        writeln!(output, "\t}}")?;
    }

    output += "}\n";
    Ok(output)
}


================================================
FILE: lib/naga/src/back/glsl/features.rs
================================================
use super::{BackendResult, Error, Version, Writer};
use crate::{
    AddressSpace, Binding, Bytes, Expression, Handle, ImageClass, ImageDimension, Interpolation,
    MathFunction, Sampling, ScalarKind, ShaderStage, StorageFormat, Type, TypeInner,
};
use std::fmt::Write;

bitflags::bitflags! {
    /// Structure used to encode additions to GLSL that aren't supported by all versions.
    pub struct Features: u32 {
        /// Buffer address space support.
        const BUFFER_STORAGE = 1;
        const ARRAY_OF_ARRAYS = 1 << 1;
        /// 8 byte floats.
        const DOUBLE_TYPE = 1 << 2;
        /// More image formats.
        const FULL_IMAGE_FORMATS = 1 << 3;
        const MULTISAMPLED_TEXTURES = 1 << 4;
        const MULTISAMPLED_TEXTURE_ARRAYS = 1 << 5;
        const CUBE_TEXTURES_ARRAY = 1 << 6;
        const COMPUTE_SHADER = 1 << 7;
        /// Image load and early depth tests.
        const IMAGE_LOAD_STORE = 1 << 8;
        const CONSERVATIVE_DEPTH = 1 << 9;
        /// Interpolation and auxiliary qualifiers.
        ///
        /// Perspective, Flat, and Centroid are available in all GLSL versions we support.
        const NOPERSPECTIVE_QUALIFIER = 1 << 11;
        const SAMPLE_QUALIFIER = 1 << 12;
        const CLIP_DISTANCE = 1 << 13;
        const CULL_DISTANCE = 1 << 14;
        /// Sample ID.
        const SAMPLE_VARIABLES = 1 << 15;
        /// Arrays with a dynamic length.
        const DYNAMIC_ARRAY_SIZE = 1 << 16;
        const MULTI_VIEW = 1 << 17;
        /// Fused multiply-add.
        const FMA = 1 << 18;
        /// Texture samples query
        const TEXTURE_SAMPLES = 1 << 19;
        /// Texture levels query
        const TEXTURE_LEVELS = 1 << 20;
        /// Image size query
        const IMAGE_SIZE = 1 << 21;
    }
}

/// Helper structure used to store the required [`Features`] needed to output a
/// [`Module`](crate::Module)
///
/// Provides helper methods to check for availability and writing required extensions
pub struct FeaturesManager(Features);

impl FeaturesManager {
    /// Creates a new [`FeaturesManager`] instance
    pub const fn new() -> Self {
        Self(Features::empty())
    }

    /// Adds to the list of required [`Features`]
    pub fn request(&mut self, features: Features) {
        self.0 |= features
    }

    /// Checks that all required [`Features`] are available for the specified
    /// [`Version`](super::Version) otherwise returns an
    /// [`Error::MissingFeatures`](super::Error::MissingFeatures)
    pub fn check_availability(&self, version: Version) -> BackendResult {
        // Will store all the features that are unavailable
        let mut missing = Features::empty();

        // Helper macro to check for feature availability
        macro_rules! check_feature {
            // Used when only core glsl supports the feature
            ($feature:ident, $core:literal) => {
                if self.0.contains(Features::$feature)
                    && (version < Version::Desktop($core) || version.is_es())
                {
                    missing |= Features::$feature;
                }
            };
            // Used when both core and es support the feature
            ($feature:ident, $core:literal, $es:literal) => {
                if self.0.contains(Features::$feature)
                    && (version < Version::Desktop($core) || version < Version::new_gles($es))
                {
                    missing |= Features::$feature;
                }
            };
        }

        check_feature!(COMPUTE_SHADER, 420, 310);
        check_feature!(BUFFER_STORAGE, 400, 310);
        check_feature!(DOUBLE_TYPE, 150);
        check_feature!(CUBE_TEXTURES_ARRAY, 130, 310);
        check_feature!(MULTISAMPLED_TEXTURES, 150, 300);
        check_feature!(MULTISAMPLED_TEXTURE_ARRAYS, 150, 310);
        check_feature!(ARRAY_OF_ARRAYS, 120, 310);
        check_feature!(IMAGE_LOAD_STORE, 130, 310);
        check_feature!(CONSERVATIVE_DEPTH, 130, 300);
        check_feature!(CONSERVATIVE_DEPTH, 130, 300);
        check_feature!(NOPERSPECTIVE_QUALIFIER, 130);
        check_feature!(SAMPLE_QUALIFIER, 400, 320);
        // gl_ClipDistance is supported by core versions > 1.3 and aren't supported by an es versions without extensions
        check_feature!(CLIP_DISTANCE, 130, 300);
        check_feature!(CULL_DISTANCE, 450, 300);
        check_feature!(SAMPLE_VARIABLES, 400, 300);
        check_feature!(DYNAMIC_ARRAY_SIZE, 430, 310);
        match version {
            Version::Embedded { is_webgl: true, .. } => check_feature!(MULTI_VIEW, 140, 300),
            _ => check_feature!(MULTI_VIEW, 140, 310),
        };
        // Only available on glsl core, this means that opengl es can't query the number
        // of samples nor levels in a image and neither do bound checks on the sample nor
        // the level argument of texelFecth
        check_feature!(TEXTURE_SAMPLES, 150);
        check_feature!(TEXTURE_LEVELS, 130);
        check_feature!(IMAGE_SIZE, 430, 310);

        // Return an error if there are missing features
        if missing.is_empty() {
            Ok(())
        } else {
            Err(Error::MissingFeatures(missing))
        }
    }

    /// Helper method used to write all needed extensions
    ///
    /// # Notes
    /// This won't check for feature availability so it might output extensions that aren't even
    /// supported.[`check_availability`](Self::check_availability) will check feature availability
    pub fn write(&self, version: Version, mut out: impl Write) -> BackendResult {
        if self.0.contains(Features::COMPUTE_SHADER) && !version.is_es() {
            // https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_compute_shader.txt
            writeln!(out, "#extension GL_ARB_compute_shader : require")?;
        }

        if self.0.contains(Features::BUFFER_STORAGE) && !version.is_es() {
            // https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_shader_storage_buffer_object.txt
            writeln!(
                out,
                "#extension GL_ARB_shader_storage_buffer_object : require"
            )?;
        }

        if self.0.contains(Features::DOUBLE_TYPE) && version < Version::Desktop(400) {
            // https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_gpu_shader_fp64.txt
            writeln!(out, "#extension GL_ARB_gpu_shader_fp64 : require")?;
        }

        if self.0.contains(Features::CUBE_TEXTURES_ARRAY) {
            if version.is_es() {
                // https://www.khronos.org/registry/OpenGL/extensions/EXT/EXT_texture_cube_map_array.txt
                writeln!(out, "#extension GL_EXT_texture_cube_map_array : require")?;
            } else if version < Version::Desktop(400) {
                // https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_texture_cube_map_array.txt
                writeln!(out, "#extension GL_ARB_texture_cube_map_array : require")?;
            }
        }

        if self.0.contains(Features::MULTISAMPLED_TEXTURE_ARRAYS) && version.is_es() {
            // https://www.khronos.org/registry/OpenGL/extensions/OES/OES_texture_storage_multisample_2d_array.txt
            writeln!(
                out,
                "#extension GL_OES_texture_storage_multisample_2d_array : require"
            )?;
        }

        if self.0.contains(Features::ARRAY_OF_ARRAYS) && version < Version::Desktop(430) {
            // https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_arrays_of_arrays.txt
            writeln!(out, "#extension ARB_arrays_of_arrays : require")?;
        }

        if self.0.contains(Features::IMAGE_LOAD_STORE) {
            if self.0.contains(Features::FULL_IMAGE_FORMATS) && version.is_es() {
                // https://www.khronos.org/registry/OpenGL/extensions/NV/NV_image_formats.txt
                writeln!(out, "#extension GL_NV_image_formats : require")?;
            }

            if version < Version::Desktop(420) {
                // https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_shader_image_load_store.txt
                writeln!(out, "#extension GL_ARB_shader_image_load_store : require")?;
            }
        }

        if self.0.contains(Features::CONSERVATIVE_DEPTH) {
            if version.is_es() {
                // https://www.khronos.org/registry/OpenGL/extensions/EXT/EXT_conservative_depth.txt
                writeln!(out, "#extension GL_EXT_conservative_depth : require")?;
            }

            if version < Version::Desktop(420) {
                // https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_conservative_depth.txt
                writeln!(out, "#extension GL_ARB_conservative_depth : require")?;
            }
        }

        if (self.0.contains(Features::CLIP_DISTANCE) || self.0.contains(Features::CULL_DISTANCE))
            && version.is_es()
        {
            // TODO: handle gl_ClipDistance and gl_CullDistance usage in better way
            // https://www.khronos.org/registry/OpenGL/extensions/EXT/EXT_clip_cull_distance.txt
            // writeln!(out, "#extension GL_EXT_clip_cull_distance : require")?;
        }

        if self.0.contains(Features::SAMPLE_VARIABLES) && version.is_es() {
            // https://www.khronos.org/registry/OpenGL/extensions/OES/OES_sample_variables.txt
            writeln!(out, "#extension GL_OES_sample_variables : require")?;
        }

        if self.0.contains(Features::SAMPLE_VARIABLES) && version.is_es() {
            // https://www.khronos.org/registry/OpenGL/extensions/OES/OES_sample_variables.txt
            writeln!(out, "#extension GL_OES_sample_variables : require")?;
        }

        if self.0.contains(Features::MULTI_VIEW) {
            if let Version::Embedded { is_webgl: true, .. } = version {
                // https://www.khronos.org/registry/OpenGL/extensions/OVR/OVR_multiview2.txt
                writeln!(out, "#extension GL_OVR_multiview2 : require")?;
            } else {
                // https://github.com/KhronosGroup/GLSL/blob/master/extensions/ext/GL_EXT_multiview.txt
                writeln!(out, "#extension GL_EXT_multiview : require")?;
            }
        }

        if self.0.contains(Features::FMA) && version >= Version::new_gles(310) {
            // https://www.khronos.org/registry/OpenGL/extensions/EXT/EXT_gpu_shader5.txt
            writeln!(out, "#extension GL_EXT_gpu_shader5 : require")?;
        }

        if self.0.contains(Features::TEXTURE_SAMPLES) {
            // https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_shader_texture_image_samples.txt
            writeln!(
                out,
                "#extension GL_ARB_shader_texture_image_samples : require"
            )?;
        }

        if self.0.contains(Features::TEXTURE_LEVELS) && version < Version::Desktop(430) {
            // https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_texture_query_levels.txt
            writeln!(out, "#extension GL_ARB_texture_query_levels : require")?;
        }

        Ok(())
    }
}

impl<'a, W> Writer<'a, W> {
    /// Helper method that searches the module for all the needed [`Features`]
    ///
    /// # Errors
    /// If the version doesn't support any of the needed [`Features`] a
    /// [`Error::MissingFeatures`](super::Error::MissingFeatures) will be returned
    pub(super) fn collect_required_features(&mut self) -> BackendResult {
        let ep_info = self.info.get_entry_point(self.entry_point_idx as usize);

        if let Some(depth_test) = self.entry_point.early_depth_test {
            // If IMAGE_LOAD_STORE is supported for this version of GLSL
            if self.options.version.supports_early_depth_test() {
                self.features.request(Features::IMAGE_LOAD_STORE);
            }

            if depth_test.conservative.is_some() {
                self.features.request(Features::CONSERVATIVE_DEPTH);
            }
        }

        for arg in self.entry_point.function.arguments.iter() {
            self.varying_required_features(arg.binding.as_ref(), arg.ty);
        }
        if let Some(ref result) = self.entry_point.function.result {
            self.varying_required_features(result.binding.as_ref(), result.ty);
        }

        if let ShaderStage::Compute = self.entry_point.stage {
            self.features.request(Features::COMPUTE_SHADER)
        }

        if self.multiview.is_some() {
            self.features.request(Features::MULTI_VIEW);
        }

        for (ty_handle, ty) in self.module.types.iter() {
            match ty.inner {
                TypeInner::Scalar { kind, width } => self.scalar_required_features(kind, width),
                TypeInner::Vector { kind, width, .. } => self.scalar_required_features(kind, width),
                TypeInner::Matrix { width, .. } => {
                    self.scalar_required_features(ScalarKind::Float, width)
                }
                TypeInner::Array { base, size, .. } => {
                    if let TypeInner::Array { .. } = self.module.types[base].inner {
                        self.features.request(Features::ARRAY_OF_ARRAYS)
                    }

                    // If the array is dynamically sized
                    if size == crate::ArraySize::Dynamic {
                        let mut is_used = false;

                        // Check if this type is used in a global that is needed by the current entrypoint
                        for (global_handle, global) in self.module.global_variables.iter() {
                            // Skip unused globals
                            if ep_info[global_handle].is_empty() {
                                continue;
                            }

                            // If this array is the type of a global, then this array is used
                            if global.ty == ty_handle {
                                is_used = true;
                                break;
                            }

                            // If the type of this global is a struct
                            if let crate::TypeInner::Struct { ref members, .. } =
                                self.module.types[global.ty].inner
                            {
                                // Check the last element of the struct to see if it's type uses
                                // this array
                                if let Some(last) = members.last() {
                                    if last.ty == ty_handle {
                                        is_used = true;
                                        break;
                                    }
                                }
                            }
                        }

                        // If this dynamically size array is used, we need dynamic array size support
                        if is_used {
                            self.features.request(Features::DYNAMIC_ARRAY_SIZE);
                        }
                    }
                }
                TypeInner::Image {
                    dim,
                    arrayed,
                    class,
                } => {
                    if arrayed && dim == ImageDimension::Cube {
                        self.features.request(Features::CUBE_TEXTURES_ARRAY)
                    }

                    match class {
                        ImageClass::Sampled { multi: true, .. }
                        | ImageClass::Depth { multi: true } => {
                            self.features.request(Features::MULTISAMPLED_TEXTURES);
                            if arrayed {
                                self.features.request(Features::MULTISAMPLED_TEXTURE_ARRAYS);
                            }
                        }
                        ImageClass::Storage { format, .. } => match format {
                            StorageFormat::R8Unorm
                            | StorageFormat::R8Snorm
                            | StorageFormat::R8Uint
                            | StorageFormat::R8Sint
                            | StorageFormat::R16Uint
                            | StorageFormat::R16Sint
                            | StorageFormat::R16Float
                            | StorageFormat::Rg8Unorm
                            | StorageFormat::Rg8Snorm
                            | StorageFormat::Rg8Uint
                            | StorageFormat::Rg8Sint
                            | StorageFormat::Rg16Uint
                            | StorageFormat::Rg16Sint
                            | StorageFormat::Rg16Float
                            | StorageFormat::Rgb10a2Unorm
                            | StorageFormat::Rg11b10Float
                            | StorageFormat::Rg32Uint
                            | StorageFormat::Rg32Sint
                            | StorageFormat::Rg32Float => {
                                self.features.request(Features::FULL_IMAGE_FORMATS)
                            }
                            _ => {}
                        },
                        ImageClass::Sampled { multi: false, .. }
                        | ImageClass::Depth { multi: false } => {}
                    }
                }
                _ => {}
            }
        }

        let mut push_constant_used = false;

        for (handle, global) in self.module.global_variables.iter() {
            if ep_info[handle].is_empty() {
                continue;
            }
            match global.space {
                AddressSpace::WorkGroup => self.features.request(Features::COMPUTE_SHADER),
                AddressSpace::Storage { .. } => self.features.request(Features::BUFFER_STORAGE),
                AddressSpace::PushConstant => {
                    if push_constant_used {
                        return Err(Error::MultiplePushConstants);
                    }
                    push_constant_used = true;
                }
                _ => {}
            }
        }

        // We will need to pass some of the members to a closure, so we need
        // to separate them otherwise the borrow checker will complain, this
        // shouldn't be needed in rust 2021
        let &mut Self {
            module,
            info,
            ref mut features,
            entry_point,
            entry_point_idx,
            ref policies,
            ..
        } = self;

        // Loop trough all expressions in both functions and the entry point
        // to check for needed features
        for (expressions, info) in module
            .functions
            .iter()
            .map(|(h, f)| (&f.expressions, &info[h]))
            .chain(std::iter::once((
                &entry_point.function.expressions,
                info.get_entry_point(entry_point_idx as usize),
            )))
        {
            for (_, expr) in expressions.iter() {
                match *expr {
                // Check for fused multiply add use
                Expression::Math { fun, .. } if fun == MathFunction::Fma => {
                    features.request(Features::FMA)
                }
                // Check for queries that neeed aditonal features
                Expression::ImageQuery {
                    image,
                    query,
                    ..
                } => match query {
                    // Storage images use `imageSize` which is only available
                    // in glsl > 420
                    //
                    // layers queries are also implemented as size queries
                    crate::ImageQuery::Size { .. } | crate::ImageQuery::NumLayers => {
                        if let TypeInner::Image {
                            class: crate::ImageClass::Storage { .. }, ..
                        } = *info[image].ty.inner_with(&module.types) {
                            features.request(Features::IMAGE_SIZE)
                        }
                    },
                    crate::ImageQuery::NumLevels => features.request(Features::TEXTURE_LEVELS),
                    crate::ImageQuery::NumSamples => features.request(Features::TEXTURE_SAMPLES),
                }
                ,
                // Check for image loads that needs bound checking on the sample
                // or level argument since this requires a feature
                Expression::ImageLoad {
                    sample, level, ..
                } => {
                    if policies.image != crate::proc::BoundsCheckPolicy::Unchecked {
                        if sample.is_some() {
                            features.request(Features::TEXTURE_SAMPLES)
                        }

                        if level.is_some() {
                            features.request(Features::TEXTURE_LEVELS)
                        }
                    }
                }
                _ => {}
            }
            }
        }

        self.features.check_availability(self.options.version)
    }

    /// Helper method that checks the [`Features`] needed by a scalar
    fn scalar_required_features(&mut self, kind: ScalarKind, width: Bytes) {
        if kind == ScalarKind::Float && width == 8 {
            self.features.request(Features::DOUBLE_TYPE);
        }
    }

    fn varying_required_features(&mut self, binding: Option<&Binding>, ty: Handle<Type>) {
        match self.module.types[ty].inner {
            crate::TypeInner::Struct { ref members, .. } => {
                for member in members {
                    self.varying_required_features(member.binding.as_ref(), member.ty);
                }
            }
            _ => {
                if let Some(binding) = binding {
                    match *binding {
                        Binding::BuiltIn(built_in) => match built_in {
                            crate::BuiltIn::ClipDistance => {
                                self.features.request(Features::CLIP_DISTANCE)
                            }
                            crate::BuiltIn::CullDistance => {
                                self.features.request(Features::CULL_DISTANCE)
                            }
                            crate::BuiltIn::SampleIndex => {
                                self.features.request(Features::SAMPLE_VARIABLES)
                            }
                            crate::BuiltIn::ViewIndex => {
                                self.features.request(Features::MULTI_VIEW)
                            }
                            _ => {}
                        },
                        Binding::Location {
                            location: _,
                            interpolation,
                            sampling,
                        } => {
                            if interpolation == Some(Interpolation::Linear) {
                                self.features.request(Features::NOPERSPECTIVE_QUALIFIER);
                            }
                            if sampling == Some(Sampling::Sample) {
                                self.features.request(Features::SAMPLE_QUALIFIER);
                            }
                        }
                    }
                }
            }
        }
    }
}


================================================
FILE: lib/naga/src/back/glsl/keywords.rs
================================================
pub const RESERVED_KEYWORDS: &[&str] = &[
    "attribute",
    "const",
    "uniform",
    "varying",
    "buffer",
    "shared",
    "coherent",
    "volatile",
    "restrict",
    "readonly",
    "writeonly",
    "atomic_uint",
    "layout",
    "centroid",
    "flat",
    "smooth",
    "noperspective",
    "patch",
    "sample",
    "break",
    "continue",
    "do",
    "for",
    "while",
    "switch",
    "case",
    "default",
    "if",
    "else",
    "subroutine",
    "in",
    "out",
    "inout",
    "float",
    "double",
    "int",
    "void",
    "bool",
    "true",
    "false",
    "invariant",
    "precise",
    "discard",
    "return",
    "mat2",
    "mat3",
    "mat4",
    "dmat2",
    "dmat3",
    "dmat4",
    "mat2x2",
    "mat2x3",
    "mat2x4",
    "dmat2x2",
    "dmat2x3",
    "dmat2x4",
    "mat3x2",
    "mat3x3",
    "mat3x4",
    "dmat3x2",
    "dmat3x3",
    "dmat3x4",
    "mat4x2",
    "mat4x3",
    "mat4x4",
    "dmat4x2",
    "dmat4x3",
    "dmat4x4",
    "vec2",
    "vec3",
    "vec4",
    "ivec2",
    "ivec3",
    "ivec4",
    "bvec2",
    "bvec3",
    "bvec4",
    "dvec2",
    "dvec3",
    "dvec4",
    "uint",
    "uvec2",
    "uvec3",
    "uvec4",
    "lowp",
    "mediump",
    "highp",
    "precision",
    "sampler1D",
    "sampler2D",
    "sampler3D",
    "samplerCube",
    "sampler1DShadow",
    "sampler2DShadow",
    "samplerCubeShadow",
    "sampler1DArray",
    "sampler2DArray",
    "sampler1DArrayShadow",
    "sampler2DArrayShadow",
    "isampler1D",
    "isampler2D",
    "isampler3D",
    "isamplerCube",
    "isampler1DArray",
    "isampler2DArray",
    "usampler1D",
    "usampler2D",
    "usampler3D",
    "usamplerCube",
    "usampler1DArray",
    "usampler2DArray",
    "sampler2DRect",
    "sampler2DRectShadow",
    "isampler2D",
    "Rect",
    "usampler2DRect",
    "samplerBuffer",
    "isamplerBuffer",
    "usamplerBuffer",
    "sampler2DMS",
    "isampler2DMS",
    "usampler2DMS",
    "sampler2DMSArray",
    "isampler2DMSArray",
    "usampler2DMSArray",
    "samplerCubeArray",
    "samplerCubeArrayShadow",
    "isamplerCubeArray",
    "usamplerCubeArray",
    "image1D",
    "iimage1D",
    "uimage1D",
    "image2D",
    "iimage2D",
    "uimage2D",
    "image3D",
    "iimage3D",
    "uimage3D",
    "image2DRect",
    "iimage2DRect",
    "uimage2DRect",
    "imageCube",
    "iimageCube",
    "uimageCube",
    "imageBuffer",
    "iimageBuffer",
    "uimageBuffer",
    "image1DArray",
    "iimage1DArray",
    "uimage1DArray",
    "image2DArray",
    "iimage2DArray",
    "uimage2DArray",
    "imageCubeArray",
    "iimageCubeArray",
    "uimageCubeArray",
    "image2DMS",
    "iimage2DMS",
    "uimage2DMS",
    "image2DMSArray",
    "iimage2DMSArray",
    "uimage2DMSArraystruct",
    "common",
    "partition",
    "active",
    "asm",
    "class",
    "union",
    "enum",
    "typedef",
    "template",
    "this",
    "resource",
    "goto",
    "inline",
    "noinline",
    "public",
    "static",
    "extern",
    "external",
    "interface",
    "long",
    "short",
    "half",
    "fixed",
    "unsigned",
    "superp",
    "input",
    "output",
    "hvec2",
    "hvec3",
    "hvec4",
    "fvec2",
    "fvec3",
    "fvec4",
    "sampler3DRect",
    "filter",
    "sizeof",
    "cast",
    "namespace",
    "using",
    "main",
];


================================================
FILE: lib/naga/src/back/glsl/mod.rs
================================================
/*!
Backend for [GLSL][glsl] (OpenGL Shading Language).

The main structure is [`Writer`], it maintains internal state that is used
to output a [`Module`](crate::Module) into glsl

# Supported versions
### Core
- 330
- 400
- 410
- 420
- 430
- 450

### ES
- 300
- 310

[glsl]: https://www.khronos.org/registry/OpenGL/index_gl.php
*/

// GLSL is mostly a superset of C but it also removes some parts of it this is a list of relevant
// aspects for this backend.
//
// The most notable change is the introduction of the version preprocessor directive that must
// always be the first line of a glsl file and is written as
// `#version number profile`
// `number` is the version itself (i.e. 300) and `profile` is the
// shader profile we only support "core" and "es", the former is used in desktop applications and
// the later is used in embedded contexts, mobile devices and browsers. Each one as it's own
// versions (at the time of writing this the latest version for "core" is 460 and for "es" is 320)
//
// Other important preprocessor addition is the extension directive which is written as
// `#extension name: behaviour`
// Extensions provide increased features in a plugin fashion but they aren't required to be
// supported hence why they are called extensions, that's why `behaviour` is used it specifies
// whether the extension is strictly required or if it should only be enabled if needed. In our case
// when we use extensions we set behaviour to `require` always.
//
// The only thing that glsl removes that makes a difference are pointers.
//
// Additions that are relevant for the backend are the discard keyword, the introduction of
// vector, matrices, samplers, image types and functions that provide common shader operations

pub use features::Features;

use crate::{
    back,
    proc::{self, NameKey},
    valid, Handle, ShaderStage, TypeInner,
};
use features::FeaturesManager;
use std::{
    cmp::Ordering,
    fmt,
    fmt::{Error as FmtError, Write},
};
use thiserror::Error;

/// Contains the features related code and the features querying method
mod features;
/// Contains a constant with a slice of all the reserved keywords RESERVED_KEYWORDS
mod keywords;

/// List of supported `core` GLSL versions.
pub const SUPPORTED_CORE_VERSIONS: &[u16] = &[330, 400, 410, 420, 430, 440, 450];
/// List of supported `es` GLSL versions.
pub const SUPPORTED_ES_VERSIONS: &[u16] = &[300, 310, 320];

/// The suffix of the variable that will hold the calculated clamped level
/// of detail for bounds checking in `ImageLoad`
const CLAMPED_LOD_SUFFIX: &str = "_clamped_lod";

/// Mapping between resources and bindings.
pub type BindingMap = std::collections::BTreeMap<crate::ResourceBinding, u8>;

impl crate::AtomicFunction {
    const fn to_glsl(self) -> &'static str {
        match self {
            Self::Add | Self::Subtract => "Add",
            Self::And => "And",
            Self::InclusiveOr => "Or",
            Self::ExclusiveOr => "Xor",
            Self::Min => "Min",
            Self::Max => "Max",
            Self::Exchange { compare: None } => "Exchange",
            Self::Exchange { compare: Some(_) } => "", //TODO
        }
    }
}

impl crate::AddressSpace {
    const fn is_buffer(&self) -> bool {
        match *self {
            crate::AddressSpace::Uniform | crate::AddressSpace::Storage { .. } => true,
            _ => false,
        }
    }

    /// Whether a variable with this address space can be initialized
    const fn initializable(&self) -> bool {
        match *self {
            crate::AddressSpace::Function | crate::AddressSpace::Private => true,
            crate::AddressSpace::WorkGroup
            | crate::AddressSpace::Uniform
            | crate::AddressSpace::Storage { .. }
            | crate::AddressSpace::Handle
            | crate::AddressSpace::PushConstant => false,
        }
    }
}

/// A GLSL version.
#[derive(Debug, Copy, Clone, PartialEq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub enum Version {
    /// `core` GLSL.
    Desktop(u16),
    /// `es` GLSL.
    Embedded { version: u16, is_webgl: bool },
}

impl Version {
    /// Create a new gles version
    pub const fn new_gles(version: u16) -> Self {
        Self::Embedded {
            version,
            is_webgl: false,
        }
    }

    /// Returns true if self is `Version::Embedded` (i.e. is a es version)
    const fn is_es(&self) -> bool {
        match *self {
            Version::Desktop(_) => false,
            Version::Embedded { .. } => true,
        }
    }

    /// Returns true if targetting WebGL
    const fn is_webgl(&self) -> bool {
        match *self {
            Version::Desktop(_) => false,
            Version::Embedded { is_webgl, .. } => is_webgl,
        }
    }

    /// Checks the list of currently supported versions and returns true if it contains the
    /// specified version
    ///
    /// # Notes
    /// As an invalid version number will never be added to the supported version list
    /// so this also checks for version validity
    fn is_supported(&self) -> bool {
        match *self {
            Version::Desktop(v) => SUPPORTED_CORE_VERSIONS.contains(&v),
            Version::Embedded { version: v, .. } => SUPPORTED_ES_VERSIONS.contains(&v),
        }
    }

    /// Checks if the version supports all of the explicit layouts:
    /// - `location=` qualifiers for bindings
    /// - `binding=` qualifiers for resources
    ///
    /// Note: `location=` for vertex inputs and fragment outputs is supported
    /// unconditionally for GLES 300.
    fn supports_explicit_locations(&self) -> bool {
        *self >= Version::Desktop(410) || *self >= Version::new_gles(310)
    }

    fn supports_early_depth_test(&self) -> bool {
        *self >= Version::Desktop(130) || *self >= Version::new_gles(310)
    }

    fn supports_std430_layout(&self) -> bool {
        *self >= Version::Desktop(430) || *self >= Version::new_gles(310)
    }

    fn supports_fma_function(&self) -> bool {
        *self >= Version::Desktop(400) || *self >= Version::new_gles(310)
    }
}

impl PartialOrd for Version {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        match (*self, *other) {
            (Version::Desktop(x), Version::Desktop(y)) => Some(x.cmp(&y)),
            (Version::Embedded { version: x, .. }, Version::Embedded { version: y, .. }) => {
                Some(x.cmp(&y))
            }
            _ => None,
        }
    }
}

impl fmt::Display for Version {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match *self {
            Version::Desktop(v) => write!(f, "{} core", v),
            Version::Embedded { version: v, .. } => write!(f, "{} es", v),
        }
    }
}

bitflags::bitflags! {
    /// Configuration flags for the [`Writer`].
    #[cfg_attr(feature = "serialize", derive(serde::Serialize))]
    #[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
    pub struct WriterFlags: u32 {
        /// Flip output Y and extend Z from (0, 1) to (-1, 1).
        const ADJUST_COORDINATE_SPACE = 0x1;
        /// Supports GL_EXT_texture_shadow_lod on the host, which provides
        /// additional functions on shadows and arrays of shadows.
        const TEXTURE_SHADOW_LOD = 0x2;
    }
}

/// Configuration used in the [`Writer`].
#[derive(Debug, Clone)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct Options {
    /// The GLSL version to be used.
    pub version: Version,
    /// Configuration flags for the [`Writer`].
    pub writer_flags: WriterFlags,
    /// Map of resources association to binding locations.
    pub binding_map: BindingMap,
}

impl Default for Options {
    fn default() -> Self {
        Options {
            version: Version::new_gles(310),
            writer_flags: WriterFlags::ADJUST_COORDINATE_SPACE,
            binding_map: BindingMap::default(),
        }
    }
}

/// A subset of options meant to be changed per pipeline.
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct PipelineOptions {
    /// The stage of the entry point.
    pub shader_stage: ShaderStage,
    /// The name of the entry point.
    ///
    /// If no entry point that matches is found while creating a [`Writer`], a error will be thrown.
    pub entry_point: String,
    /// How many views to render to, if doing multiview rendering.
    pub multiview: Option<std::num::NonZeroU32>,
}

/// Reflection info for texture mappings and uniforms.
pub struct ReflectionInfo {
    /// Mapping between texture names and variables/samplers.
    pub texture_mapping: crate::FastHashMap<String, TextureMapping>,
    /// Mapping between uniform variables and names.
    pub uniforms: crate::FastHashMap<Handle<crate::GlobalVariable>, String>,
}

/// Mapping between a texture and its sampler, if it exists.
///
/// GLSL pre-Vulkan has no concept of separate textures and samplers. Instead, everything is a
/// `gsamplerN` where `g` is the scalar type and `N` is the dimension. But naga uses separate textures
/// and samplers in the IR, so the backend produces a [`FastHashMap`](crate::FastHashMap) with the texture name
/// as a key and a [`TextureMapping`] as a value. This way, the user knows where to bind.
///
/// [`Storage`](crate::ImageClass::Storage) images produce `gimageN` and don't have an associated sampler,
/// so the [`sampler`](Self::sampler) field will be [`None`].
#[derive(Debug, Clone)]
pub struct TextureMapping {
    /// Handle to the image global variable.
    pub texture: Handle<crate::GlobalVariable>,
    /// Handle to the associated sampler global variable, if it exists.
    pub sampler: Option<Handle<crate::GlobalVariable>>,
}

/// Helper structure that generates a number
#[derive(Default)]
struct IdGenerator(u32);

impl IdGenerator {
    /// Generates a number that's guaranteed to be unique for this `IdGenerator`
    fn generate(&mut self) -> u32 {
        // It's just an increasing number but it does the job
        let ret = self.0;
        self.0 += 1;
        ret
    }
}

/// Helper wrapper used to get a name for a varying
///
/// Varying have different naming schemes depending on their binding:
/// - Varyings with builtin bindings get the from [`glsl_built_in`](glsl_built_in).
/// - Varyings with location bindings are named `_S_location_X` where `S` is a
///   prefix identifying which pipeline stage the varying connects, and `X` is
///   the location.
struct VaryingName<'a> {
    binding: &'a crate::Binding,
    stage: ShaderStage,
    output: bool,
    targetting_webgl: bool,
}
impl fmt::Display for VaryingName<'_> {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        match *self.binding {
            crate::Binding::Location { location, .. } => {
                let prefix = match (self.stage, self.output) {
                    (ShaderStage::Compute, _) => unreachable!(),
                    // pipeline to vertex
                    (ShaderStage::Vertex, false) => "p2vs",
                    // vertex to fragment
                    (ShaderStage::Vertex, true) | (ShaderStage::Fragment, false) => "vs2fs",
                    // fragment to pipeline
                    (ShaderStage::Fragment, true) => "fs2p",
                };
                write!(f, "_{}_location{}", prefix, location,)
            }
            crate::Binding::BuiltIn(built_in) => {
                write!(
                    f,
                    "{}",
                    glsl_built_in(built_in, self.output, self.targetting_webgl)
                )
            }
        }
    }
}

impl ShaderStage {
    const fn to_str(self) -> &'static str {
        match self {
            ShaderStage::Compute => "cs",
            ShaderStage::Fragment => "fs",
            ShaderStage::Vertex => "vs",
        }
    }
}

/// Shorthand result used internally by the backend
type BackendResult<T = ()> = Result<T, Error>;

/// A GLSL compilation error.
#[derive(Debug, Error)]
pub enum Error {
    /// A error occurred while writing to the output.
    #[error("Format error")]
    FmtError(#[from] FmtError),
    /// The specified [`Version`] doesn't have all required [`Features`].
    ///
    /// Contains the missing [`Features`].
    #[error("The selected version doesn't support {0:?}")]
    MissingFeatures(Features),
    /// [`AddressSpace::PushConstant`](crate::AddressSpace::PushConstant) was used more than
    /// once in the entry point, which isn't supported.
    #[error("Multiple push constants aren't supported")]
    MultiplePushConstants,
    /// The specified [`Version`] isn't supported.
    #[error("The specified version isn't supported")]
    VersionNotSupported,
    /// The entry point couldn't be found.
    #[error("The requested entry point couldn't be found")]
    EntryPointNotFound,
    /// A call was made to an unsupported external.
    #[error("A call was made to an unsupported external: {0}")]
    UnsupportedExternal(String),
    /// A scalar with an unsupported width was requested.
    #[error("A scalar with an unsupported width was requested: {0:?} {1:?}")]
    UnsupportedScalar(crate::ScalarKind, crate::Bytes),
    /// A image was used with multiple samplers, which isn't supported.
    #[error("A image was used with multiple samplers")]
    ImageMultipleSamplers,
    #[error("{0}")]
    Custom(String),
}

/// Binary operation with a different logic on the GLSL side.
enum BinaryOperation {
    /// Vector comparison should use the function like `greaterThan()`, etc.
    VectorCompare,
    /// Vector component wise operation; used to polyfill unsupported ops like `|` and `&` for `bvecN`'s
    VectorComponentWise,
    /// GLSL `%` is SPIR-V `OpUMod/OpSMod` and `mod()` is `OpFMod`, but [`BinaryOperator::Modulo`](crate::BinaryOperator::Modulo) is `OpFRem`.
    Modulo,
    /// Any plain operation. No additional logic required.
    Other,
}

/// Writer responsible for all code generation.
pub struct Writer<'a, W> {
    // Inputs
    /// The module being written.
    module: &'a crate::Module,
    /// The module analysis.
    info: &'a valid::ModuleInfo,
    /// The output writer.
    out: W,
    /// User defined configuration to be used.
    options: &'a Options,
    /// The bound checking policies to be used
    policies: proc::BoundsCheckPolicies,

    // Internal State
    /// Features manager used to store all the needed features and write them.
    features: FeaturesManager,
    namer: proc::Namer,
    /// A map with all the names needed for writing the module
    /// (generated by a [`Namer`](crate::proc::Namer)).
    names: crate::FastHashMap<NameKey, String>,
    /// A map with the names of global variables needed for reflections.
    reflection_names_globals: crate::FastHashMap<Handle<crate::GlobalVariable>, String>,
    /// The selected entry point.
    entry_point: &'a crate::EntryPoint,
    /// The index of the selected entry point.
    entry_point_idx: proc::EntryPointIndex,
    /// A generator for unique block numbers.
    block_id: IdGenerator,
    /// Set of expressions that have associated temporary variables.
    named_expressions: crate::NamedExpressions,
    /// Set of expressions that need to be baked to avoid unnecessary repetition in output
    need_bake_expressions: back::NeedBakeExpressions,
    /// How many views to render to, if doing multiview rendering.
    multiview: Option<std::num::NonZeroU32>,
}

impl<'a, W: Write> Writer<'a, W> {
    /// Creates a new [`Writer`] instance.
    ///
    /// # Errors
    /// - If the version specified is invalid or supported.
    /// - If the entry point couldn't be found in the module.
    /// - If the version specified doesn't support some used features.
    pub fn new(
        out: W,
        module: &'a crate::Module,
        info: &'a valid::ModuleInfo,
        options: &'a Options,
        pipeline_options: &'a PipelineOptions,
        policies: proc::BoundsCheckPolicies,
    ) -> Result<Self, Error> {
        // Check if the requested version is supported
        if !options.version.is_supported() {
            log::error!("Version {}", options.version);
            return Err(Error::VersionNotSupported);
        }

        // Try to find the entry point and corresponding index
        let ep_idx = module
            .entry_points
            .iter()
            .position(|ep| {
                pipeline_options.shader_stage == ep.stage && pipeline_options.entry_point == ep.name
            })
            .ok_or(Error::EntryPointNotFound)?;

        // Generate a map with names required to write the module
        let mut names = crate::FastHashMap::default();
        let mut namer = proc::Namer::default();
        namer.reset(module, keywords::RESERVED_KEYWORDS, &["gl_"], &mut names);

        // Build the instance
        let mut this = Self {
            module,
            info,
            out,
            options,
            policies,

            namer,
            features: FeaturesManager::new(),
            names,
            reflection_names_globals: crate::FastHashMap::default(),
            entry_point: &module.entry_points[ep_idx],
            entry_point_idx: ep_idx as u16,
            multiview: pipeline_options.multiview,
            block_id: IdGenerator::default(),
            named_expressions: Default::default(),
            need_bake_expressions: Default::default(),
        };

        // Find all features required to print this module
        this.collect_required_features()?;

        Ok(this)
    }

    /// Writes the [`Module`](crate::Module) as glsl to the output
    ///
    /// # Notes
    /// If an error occurs while writing, the output might have been written partially
    ///
    /// # Panics
    /// Might panic if the module is invalid
    pub fn write(&mut self) -> Result<ReflectionInfo, Error> {
        // We use `writeln!(self.out)` throughout the write to add newlines
        // to make the output more readable

        let es = self.options.version.is_es();

        // Write the version (It must be the first thing or it isn't a valid glsl output)
        writeln!(self.out, "#version {}", self.options.version)?;
        // Write all the needed extensions
        //
        // This used to be the last thing being written as it allowed to search for features while
        // writing the module saving some loops but some older versions (420 or less) required the
        // extensions to appear before being used, even though extensions are part of the
        // preprocessor not the processor ¯\_(ツ)_/¯
        self.features.write(self.options.version, &mut self.out)?;

        // Write the additional extensions
        if self
            .options
            .writer_flags
            .contains(WriterFlags::TEXTURE_SHADOW_LOD)
        {
            // https://www.khronos.org/registry/OpenGL/extensions/EXT/EXT_texture_shadow_lod.txt
            writeln!(self.out, "#extension GL_EXT_texture_shadow_lod : require")?;
        }

        // glsl es requires a precision to be specified for floats and ints
        // TODO: Should this be user configurable?
        if es {
            writeln!(self.out)?;
            writeln!(self.out, "precision highp float;")?;
            writeln!(self.out, "precision highp int;")?;
            writeln!(self.out)?;
        }

        if self.entry_point.stage == ShaderStage::Compute {
            let workgroup_size = self.entry_point.workgroup_size;
            writeln!(
                self.out,
                "layout(local_size_x = {}, local_size_y = {}, local_size_z = {}) in;",
                workgroup_size[0], workgroup_size[1], workgroup_size[2]
            )?;
            writeln!(self.out)?;
        }

        // Enable early depth tests if needed
        if let Some(depth_test) = self.entry_point.early_depth_test {
            // If early depth test is supported for this version of GLSL
            if self.options.version.supports_early_depth_test() {
                writeln!(self.out, "layout(early_fragment_tests) in;")?;

                if let Some(conservative) = depth_test.conservative {
                    use crate::ConservativeDepth as Cd;

                    let depth = match conservative {
                        Cd::GreaterEqual => "greater",
                        Cd::LessEqual => "less",
                        Cd::Unchanged => "unchanged",
                    };
                    writeln!(self.out, "layout (depth_{}) out float gl_FragDepth;", depth)?;
                }
                writeln!(self.out)?;
            } else {
                log::warn!(
                    "Early depth testing is not supported for this version of GLSL: {}",
                    self.options.version
                );
            }
        }

        if self.entry_point.stage == ShaderStage::Vertex && self.options.version.is_webgl() {
            if let Some(multiview) = self.multiview.as_ref() {
                writeln!(self.out, "layout(num_views = {}) in;", multiview)?;
                writeln!(self.out)?;
            }
        }

        let ep_info = self.info.get_entry_point(self.entry_point_idx as usize);

        // Write struct types.
        //
        // This are always ordered because the IR is structured in a way that
        // you can't make a struct without adding all of its members first.
        for (handle, ty) in self.module.types.iter() {
            if let TypeInner::Struct { ref members, .. } = ty.inner {
                // Structures ending with runtime-sized arrays can only be
                // rendered as shader storage blocks in GLSL, not stand-alone
                // struct types.
                if !self.module.types[members.last().unwrap().ty]
                    .inner
                    .is_dynamically_sized(&self.module.types)
                {
                    let name = &self.names[&NameKey::Type(handle)];
                    write!(self.out, "struct {} ", name)?;
                    self.write_struct_body(handle, members)?;
                    writeln!(self.out, ";")?;
                }
            }
        }

        // Write the globals
        //
        // We filter all globals that aren't used by the selected entry point as they might be
        // interfere with each other (i.e. two globals with the same location but different with
        // different classes)
        for (handle, global) in self.module.global_variables.iter() {
            if ep_info[handle].is_empty() {
                continue;
            }

            match self.module.types[global.ty].inner {
                // We treat images separately because they might require
                // writing the storage format
                TypeInner::Image {
                    mut dim,
                    arrayed,
                    class,
                } => {
                    // Gather the storage format if needed
                    let storage_format_access = match self.module.types[global.ty].inner {
                        TypeInner::Image {
                            class: crate::ImageClass::Storage { format, access },
                            ..
                        } => Some((format, access)),
                        _ => None,
                    };

                    if dim == crate::ImageDimension::D1 && es {
                        dim = crate::ImageDimension::D2
                    }

                    // Gether the location if needed
                    let layout_binding = if self.options.version.supports_explicit_locations() {
                        let br = global.binding.as_ref().unwrap();
                        self.options.binding_map.get(br).cloned()
                    } else {
                        None
                    };

                    // Write all the layout qualifiers
                    if layout_binding.is_some() || storage_format_access.is_some() {
                        write!(self.out, "layout(")?;
                        if let Some(binding) = layout_binding {
                            write!(self.out, "binding = {}", binding)?;
                        }
                        if let Some((format, _)) = storage_format_access {
                            let format_str = glsl_storage_format(format);
                            let separator = match layout_binding {
                                Some(_) => ",",
                                None => "",
                            };
                            write!(self.out, "{}{}", separator, format_str)?;
                        }
                        write!(self.out, ") ")?;
                    }

                    if let Some((_, access)) = storage_format_access {
                        self.write_storage_access(access)?;
                    }

                    // All images in glsl are `uniform`
                    // The trailing space is important
                    write!(self.out, "uniform ")?;

                    // write the type
                    //
                    // This is way we need the leading space because `write_image_type` doesn't add
                    // any spaces at the beginning or end
                    self.write_image_type(dim, arrayed, class)?;

                    // Finally write the name and end the global with a `;`
                    // The leading space is important
                    let global_name = self.get_global_name(handle, global);
                    writeln!(self.out, " {};", global_name)?;
                    writeln!(self.out)?;

                    self.reflection_names_globals.insert(handle, global_name);
                }
                // glsl has no concept of samplers so we just ignore it
                TypeInner::Sampler { .. } => continue,
                // All other globals are written by `write_global`
                _ => {
                    if !ep_info[handle].is_empty() {
                        self.write_global(handle, global)?;
                        // Add a newline (only for readability)
                        writeln!(self.out)?;
                    }
                }
            }
        }

        for arg in self.entry_point.function.arguments.iter() {
            self.write_varying(arg.binding.as_ref(), arg.ty, false)?;
        }
        if let Some(ref result) = self.entry_point.function.result {
            self.write_varying(result.binding.as_ref(), result.ty, true)?;
        }
        writeln!(self.out)?;

        // Write all regular functions
        for (handle, function) in self.module.functions.iter() {
            // Check that the function doesn't use globals that aren't supported
            // by the current entry point
            if !ep_info.dominates_global_use(&self.info[handle]) {
                continue;
            }

            let fun_info = &self.info[handle];

            // Write the function
            self.write_function(back::FunctionType::Function(handle), function, fun_info)?;

            writeln!(self.out)?;
        }

        self.write_function(
            back::FunctionType::EntryPoint(self.entry_point_idx),
            &self.entry_point.function,
            ep_info,
        )?;

        // Add newline at the end of file
        writeln!(self.out)?;

        // Collect all reflection info and return it to the user
        self.collect_reflection_info()
    }

    fn write_array_size(
        &mut self,
        base: Handle<crate::Type>,
        size: crate::ArraySize,
    ) -> BackendResult {
        write!(self.out, "[")?;

        // Write the array size
        // Writes nothing if `ArraySize::Dynamic`
        // Panics if `ArraySize::Constant` has a constant that isn't an sint or uint
        match size {
            crate::ArraySize::Constant(const_handle) => {
                match self.module.constants[const_handle].inner {
                    crate::ConstantInner::Scalar {
                        width: _,
                        value: crate::ScalarValue::Uint(size),
                    } => write!(self.out, "{}", size)?,
                    crate::ConstantInner::Scalar {
                        width: _,
                        value: crate::ScalarValue::Sint(size),
                    } => write!(self.out, "{}", size)?,
                    _ => unreachable!(),
                }
            }
            crate::ArraySize::Dynamic => (),
        }

        write!(self.out, "]")?;

        if let TypeInner::Array {
            base: next_base,
            size: next_size,
            ..
        } = self.module.types[base].inner
        {
            self.write_array_size(next_base, next_size)?;
        }

        Ok(())
    }

    /// Helper method used to write value types
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    ///
    /// # Panics
    /// - If type is either a image, a sampler, a pointer, or a struct
    /// - If it's an Array with a [`ArraySize::Constant`](crate::ArraySize::Constant) with a
    /// constant that isn't a [`Scalar`](crate::ConstantInner::Scalar) or if the
    /// scalar value isn't an [`Sint`](crate::ScalarValue::Sint) or [`Uint`](crate::ScalarValue::Uint)
    fn write_value_type(&mut self, inner: &TypeInner) -> BackendResult {
        match *inner {
            // Scalars are simple we just get the full name from `glsl_scalar`
            TypeInner::Scalar { kind, width }
            | TypeInner::Atomic { kind, width }
            | TypeInner::ValuePointer {
                size: None,
                kind,
                width,
                space: _,
            } => write!(self.out, "{}", glsl_scalar(kind, width)?.full)?,
            // Vectors are just `gvecN` where `g` is the scalar prefix and `N` is the vector size
            TypeInner::Vector { size, kind, width }
            | TypeInner::ValuePointer {
                size: Some(size),
                kind,
                width,
                space: _,
            } => write!(
                self.out,
                "{}vec{}",
                glsl_scalar(kind, width)?.prefix,
                size as u8
            )?,
            // Matrices are written with `gmatMxN` where `g` is the scalar prefix (only floats and
            // doubles are allowed), `M` is the columns count and `N` is the rows count
            //
            // glsl supports a matrix shorthand `gmatN` where `N` = `M` but it doesn't justify the
            // extra branch to write matrices this way
            TypeInner::Matrix {
                columns,
                rows,
                width,
            } => write!(
                self.out,
                "{}mat{}x{}",
                glsl_scalar(crate::ScalarKind::Float, width)?.prefix,
                columns as u8,
                rows as u8
            )?,
            // GLSL arrays are written as `type name[size]`
            // Current code is written arrays only as `[size]`
            // Base `type` and `name` should be written outside
            TypeInner::Array { base, size, .. } => self.write_array_size(base, size)?,
            // Panic if either Image, Sampler, Pointer, or a Struct is being written
            //
            // Write all variants instead of `_` so that if new variants are added a
            // no exhaustiveness error is thrown
            TypeInner::Pointer { .. }
            | TypeInner::Struct { .. }
            | TypeInner::Image { .. }
            | TypeInner::Sampler { .. }
            | TypeInner::BindingArray { .. } => {
                return Err(Error::Custom(format!("Unable to write type {:?}", inner)))
            }
        }

        Ok(())
    }

    /// Helper method used to write non image/sampler types
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    ///
    /// # Panics
    /// - If type is either a image or sampler
    /// - If it's an Array with a [`ArraySize::Constant`](crate::ArraySize::Constant) with a
    /// constant that isn't a [`Scalar`](crate::ConstantInner::Scalar) or if the
    /// scalar value isn't an [`Sint`](crate::ScalarValue::Sint) or [`Uint`](crate::ScalarValue::Uint)
    fn write_type(&mut self, ty: Handle<crate::Type>) -> BackendResult {
        match self.module.types[ty].inner {
            // glsl has no pointer types so just write types as normal and loads are skipped
            TypeInner::Pointer { base, .. } => self.write_type(base),
            // glsl structs are written as just the struct name
            TypeInner::Struct { .. } => {
                // Get the struct name
                let name = &self.names[&NameKey::Type(ty)];
                write!(self.out, "{}", name)?;
                Ok(())
            }
            // glsl array has the size separated from the base type
            TypeInner::Array { base, .. } => self.write_type(base),
            ref other => self.write_value_type(other),
        }
    }

    /// Helper method to write a image type
    ///
    /// # Notes
    /// Adds no leading or trailing whitespace
    fn write_image_type(
        &mut self,
        dim: crate::ImageDimension,
        arrayed: bool,
        class: crate::ImageClass,
    ) -> BackendResult {
        // glsl images consist of four parts the scalar prefix, the image "type", the dimensions
        // and modifiers
        //
        // There exists two image types
        // - sampler - for sampled images
        // - image - for storage images
        //
        // There are three possible modifiers that can be used together and must be written in
        // this order to be valid
        // - MS - used if it's a multisampled image
        // - Array - used if it's an image array
        // - Shadow - used if it's a depth image
        use crate::ImageClass as Ic;

        let (base, kind, ms, comparison) = match class {
            Ic::Sampled { kind, multi: true } => ("sampler", kind, "MS", ""),
            Ic::Sampled { kind, multi: false } => ("sampler", kind, "", ""),
            Ic::Depth { multi: true } => ("sampler", crate::ScalarKind::Float, "MS", ""),
            Ic::Depth { multi: false } => ("sampler", crate::ScalarKind::Float, "", "Shadow"),
            Ic::Storage { format, .. } => ("image", format.into(), "", ""),
        };

        write!(
            self.out,
            "highp {}{}{}{}{}{}",
            glsl_scalar(kind, 4)?.prefix,
            base,
            glsl_dimension(dim),
            ms,
            if arrayed { "Array" } else { "" },
            comparison
        )?;

        Ok(())
    }

    /// Helper method used to write non images/sampler globals
    ///
    /// # Notes
    /// Adds a newline
    ///
    /// # Panics
    /// If the global has type sampler
    fn write_global(
        &mut self,
        handle: Handle<crate::GlobalVariable>,
        global: &crate::GlobalVariable,
    ) -> BackendResult {
        if self.options.version.supports_explicit_locations() {
            if let Some(ref br) = global.binding {
                match self.options.binding_map.get(br) {
                    Some(binding) => {
                        let layout = match global.space {
                            crate::AddressSpace::Storage { .. } => {
                                if self.options.version.supports_std430_layout() {
                                    "std430, "
                                } else {
                                    "std140, "
                                }
                            }
                            crate::AddressSpace::Uniform => "std140, ",
                            _ => "",
                        };
                        write!(self.out, "layout({}binding = {}) ", layout, binding)?
                    }
                    None => {
                        log::debug!("unassigned binding for {:?}", global.name);
                        if let crate::AddressSpace::Storage { .. } = global.space {
                            if self.options.version.supports_std430_layout() {
                                write!(self.out, "layout(std430) ")?
                            }
                        }
                    }
                }
            }
        }

        if let crate::AddressSpace::Storage { access } = global.space {
            self.write_storage_access(access)?;
        }

        if let Some(storage_qualifier) = glsl_storage_qualifier(global.space) {
            write!(self.out, "{} ", storage_qualifier)?;
        }

        match global.space {
            crate::AddressSpace::Private => {
                self.write_simple_global(handle, global)?;
            }
            crate::AddressSpace::WorkGroup => {
                self.write_simple_global(handle, global)?;
            }
            crate::AddressSpace::PushConstant => {
                self.write_simple_global(handle, global)?;
            }
            crate::AddressSpace::Uniform => {
                self.write_interface_block(handle, global)?;
            }
            crate::AddressSpace::Storage { .. } => {
                self.write_interface_block(handle, global)?;
            }
            // A global variable in the `Function` address space is a
            // contradiction in terms.
            crate::AddressSpace::Function => unreachable!(),
            // Textures and samplers are handled directly in `Writer::write`.
            crate::AddressSpace::Handle => unreachable!(),
        }

        Ok(())
    }

    fn write_simple_global(
        &mut self,
        handle: Handle<crate::GlobalVariable>,
        global: &crate::GlobalVariable,
    ) -> BackendResult {
        self.write_type(global.ty)?;
        write!(self.out, " ")?;
        self.write_global_name(handle, global)?;

        if let TypeInner::Array { base, size, .. } = self.module.types[global.ty].inner {
            self.write_array_size(base, size)?;
        }

        if global.space.initializable() && is_value_init_supported(self.module, global.ty) {
            write!(self.out, " = ")?;
            if let Some(init) = global.init {
                self.write_constant(init)?;
            } else {
                self.write_zero_init_value(global.ty)?;
            }
        }

        writeln!(self.out, ";")?;

        if let crate::AddressSpace::PushConstant = global.space {
            let global_name = self.get_global_name(handle, global);
            self.reflection_names_globals.insert(handle, global_name);
        }

        Ok(())
    }

    /// Write an interface block for a single Naga global.
    ///
    /// Write `block_name { members }`. Since `block_name` must be unique
    /// between blocks and structs, we add `_block_ID` where `ID` is a
    /// `IdGenerator` generated number. Write `members` in the same way we write
    /// a struct's members.
    fn write_interface_block(
        &mut self,
        handle: Handle<crate::GlobalVariable>,
        global: &crate::GlobalVariable,
    ) -> BackendResult {
        // Write the block name, it's just the struct name appended with `_block_ID`
        let ty_name = &self.names[&NameKey::Type(global.ty)];
        let block_name = format!(
            "{}_block_{}{:?}",
            ty_name,
            self.block_id.generate(),
            self.entry_point.stage,
        );
        write!(self.out, "{} ", block_name)?;
        self.reflection_names_globals.insert(handle, block_name);

        match self.module.types[global.ty].inner {
            crate::TypeInner::Struct { ref members, .. }
                if self.module.types[members.last().unwrap().ty]
                    .inner
                    .is_dynamically_sized(&self.module.types) =>
            {
                // Structs with dynamically sized arrays must have their
                // members lifted up as members of the interface block. GLSL
                // can't write such struct types anyway.
                self.write_struct_body(global.ty, members)?;
                write!(self.out, " ")?;
                self.write_global_name(handle, global)?;
            }
            _ => {
                // A global of any other type is written as the sole member
                // of the interface block. Since the interface block is
                // anonymous, this becomes visible in the global scope.
                write!(self.out, "{{ ")?;
                self.write_type(global.ty)?;
                write!(self.out, " ")?;
                self.write_global_name(handle, global)?;
                if let TypeInner::Array { base, size, .. } = self.module.types[global.ty].inner {
                    self.write_array_size(base, size)?;
                }
                write!(self.out, "; }}")?;
            }
        }

        writeln!(self.out, ";")?;

        Ok(())
    }

    /// Helper method used to find which expressions of a given function require baking
    ///
    /// # Notes
    /// Clears `need_bake_expressions` set before adding to it
    fn update_expressions_to_bake(&mut self, func: &crate::Function, info: &valid::FunctionInfo) {
        use crate::Expression;
        self.need_bake_expressions.clear();
        for expr in func.expressions.iter() {
            let expr_info = &info[expr.0];
            let min_ref_count = func.expressions[expr.0].bake_ref_count();
            if min_ref_count <= expr_info.ref_count {
                self.need_bake_expressions.insert(expr.0);
            }
            // if the expression is a Dot product with integer arguments,
            // then the args needs baking as well
            if let (
                fun_handle,
                &Expression::Math {
                    fun: crate::MathFunction::Dot,
                    arg,
                    arg1,
                    ..
                },
            ) = expr
            {
                let inner = info[fun_handle].ty.inner_with(&self.module.types);
                if let TypeInner::Scalar { kind, .. } = *inner {
                    match kind {
                        crate::ScalarKind::Sint | crate::ScalarKind::Uint => {
                            self.need_bake_expressions.insert(arg);
                            self.need_bake_expressions.insert(arg1.unwrap());
                        }
                        _ => {}
                    }
                }
            }
        }
    }

    /// Helper method used to get a name for a global
    ///
    /// Globals have different naming schemes depending on their binding:
    /// - Globals without bindings use the name from the [`Namer`](crate::proc::Namer)
    /// - Globals with resource binding are named `_group_X_binding_Y` where `X`
    ///   is the group and `Y` is the binding
    fn get_global_name(
        &self,
        handle: Handle<crate::GlobalVariable>,
        global: &crate::GlobalVariable,
    ) -> String {
        match global.binding {
            Some(ref br) => {
                format!(
                    "_group_{}_binding_{}_{}",
                    br.group,
                    br.binding,
                    self.entry_point.stage.to_str()
                )
            }
            None => self.names[&NameKey::GlobalVariable(handle)].clone(),
        }
    }

    /// Helper method used to write a name for a global without additional heap allocation
    fn write_global_name(
        &mut self,
        handle: Handle<crate::GlobalVariable>,
        global: &crate::GlobalVariable,
    ) -> BackendResult {
        match global.binding {
            Some(ref br) => write!(
                self.out,
                "_group_{}_binding_{}_{}",
                br.group,
                br.binding,
                self.entry_point.stage.to_str()
            )?,
            None => write!(
                self.out,
                "{}",
                &self.names[&NameKey::GlobalVariable(handle)]
            )?,
        }

        Ok(())
    }

    /// Write a GLSL global that will carry a Naga entry point's argument or return value.
    ///
    /// A Naga entry point's arguments and return value are rendered in GLSL as
    /// variables at global scope with the `in` and `out` storage qualifiers.
    /// The code we generate for `main` loads from all the `in` globals into
    /// appropriately named locals. Before it returns, `main` assigns the
    /// components of its return value into all the `out` globals.
    ///
    /// This function writes a declaration for one such GLSL global,
    /// representing a value passed into or returned from [`self.entry_point`]
    /// that has a [`Location`] binding. The global's name is generated based on
    /// the location index and the shader stages being connected; see
    /// [`VaryingName`]. This means we don't need to know the names of
    /// arguments, just their types and bindings.
    ///
    /// Emit nothing for entry point arguments or return values with [`BuiltIn`]
    /// bindings; `main` will read from or assign to the appropriate GLSL
    /// special variable; these are pre-declared. As an exception, we do declare
    /// `gl_Position` or `gl_FragCoord` with the `invariant` qualifier if
    /// needed.
    ///
    /// Use `output` together with [`self.entry_point.stage`] to determine which
    /// shader stages are being connected, and choose the `in` or `out` storage
    /// qualifier.
    ///
    /// [`self.entry_point`]: Writer::entry_point
    /// [`self.entry_point.stage`]: crate::EntryPoint::stage
    /// [`Location`]: crate::Binding::Location
    /// [`BuiltIn`]: crate::Binding::BuiltIn
    fn write_varying(
        &mut self,
        binding: Option<&crate::Binding>,
        ty: Handle<crate::Type>,
        output: bool,
    ) -> Result<(), Error> {
        // For a struct, emit a separate global for each member with a binding.
        if let crate::TypeInner::Struct { ref members, .. } = self.module.types[ty].inner {
            for member in members {
                self.write_varying(member.binding.as_ref(), member.ty, output)?;
            }
            return Ok(());
        }

        let binding = match binding {
            None => return Ok(()),
            Some(binding) => binding,
        };

        let (location, interpolation, sampling) = match *binding {
            crate::Binding::Location {
                location,
                interpolation,
                sampling,
            } => (location, interpolation, sampling),
            crate::Binding::BuiltIn(built_in) => {
                if let crate::BuiltIn::Position { invariant: true } = built_in {
                    writeln!(
                        self.out,
                        "invariant {};",
                        glsl_built_in(built_in, output, self.options.version.is_webgl())
                    )?;
                }
                return Ok(());
            }
        };

        // Write the interpolation modifier if needed
        //
        // We ignore all interpolation and auxiliary modifiers that aren't used in fragment
        // shaders' input globals or vertex shaders' output globals.
        let emit_interpolation_and_auxiliary = match self.entry_point.stage {
            ShaderStage::Vertex => output,
            ShaderStage::Fragment => !output,
            _ => false,
        };

        // Write the I/O locations, if allowed
        if self.options.version.supports_explicit_locations() || !emit_interpolation_and_auxiliary {
            write!(self.out, "layout(location = {}) ", location)?;
        }

        // Write the interpolation qualifier.
        if let Some(interp) = interpolation {
            if emit_interpolation_and_auxiliary {
                write!(self.out, "{} ", glsl_interpolation(interp))?;
            }
        }

        // Write the sampling auxiliary qualifier.
        //
        // Before GLSL 4.2, the `centroid` and `sample` qualifiers were required to appear
        // immediately before the `in` / `out` qualifier, so we'll just follow that rule
        // here, regardless of the version.
        if let Some(sampling) = sampling {
            if emit_interpolation_and_auxiliary {
                if let Some(qualifier) = glsl_sampling(sampling) {
                    write!(self.out, "{} ", qualifier)?;
                }
            }
        }

        // Write the input/output qualifier.
        write!(self.out, "{} ", if output { "out" } else { "in" })?;

        // Write the type
        // `write_type` adds no leading or trailing spaces
        self.write_type(ty)?;

        // Finally write the global name and end the global with a `;` and a newline
        // Leading space is important
        let vname = VaryingName {
            binding: &crate::Binding::Location {
                location,
                interpolation: None,
                sampling: None,
            },
            stage: self.entry_point.stage,
            output,
            targetting_webgl: self.options.version.is_webgl(),
        };
        writeln!(self.out, " {};", vname)?;

        Ok(())
    }

    /// Helper method used to write functions (both entry points and regular functions)
    ///
    /// # Notes
    /// Adds a newline
    fn write_function(
        &mut self,
        ty: back::FunctionType,
        func: &crate::Function,
        info: &valid::FunctionInfo,
    ) -> BackendResult {
        // Create a function context for the function being written
        let ctx = back::FunctionCtx {
            ty,
            info,
            expressions: &func.expressions,
            named_expressions: &func.named_expressions,
        };

        self.named_expressions.clear();
        self.update_expressions_to_bake(func, info);

        // Write the function header
        //
        // glsl headers are the same as in c:
        // `ret_type name(args)`
        // `ret_type` is the return type
        // `name` is the function name
        // `args` is a comma separated list of `type name`
        //  | - `type` is the argument type
        //  | - `name` is the argument name

        // Start by writing the return type if any otherwise write void
        // This is the only place where `void` is a valid type
        // (though it's more a keyword than a type)
        if let back::FunctionType::EntryPoint(_) = ctx.ty {
            write!(self.out, "void")?;
        } else if let Some(ref result) = func.result {
            self.write_type(result.ty)?;
        } else {
            write!(self.out, "void")?;
        }

        // Write the function name and open parentheses for the argument list
        let function_name = match ctx.ty {
            back::FunctionType::Function(handle) => &self.names[&NameKey::Function(handle)],
            back::FunctionType::EntryPoint(_) => "main",
        };
        write!(self.out, " {}(", function_name)?;

        // Write the comma separated argument list
        //
        // We need access to `Self` here so we use the reference passed to the closure as an
        // argument instead of capturing as that would cause a borrow checker error
        let arguments = match ctx.ty {
            back::FunctionType::EntryPoint(_) => &[][..],
            back::FunctionType::Function(_) => &func.arguments,
        };
        let arguments: Vec<_> = arguments
            .iter()
            .enumerate()
            .filter(|&(_, arg)| match self.module.types[arg.ty].inner {
                TypeInner::Sampler { .. } => false,
                _ => true,
            })
            .collect();
        self.write_slice(&arguments, |this, _, &(i, arg)| {
            // Write the argument type
            match this.module.types[arg.ty].inner {
                // We treat images separately because they might require
                // writing the storage format
                TypeInner::Image {
                    dim,
                    arrayed,
                    class,
                } => {
                    // Write the storage format if needed
                    if let TypeInner::Image {
                        class: crate::ImageClass::Storage { format, .. },
                        ..
                    } = this.module.types[arg.ty].inner
                    {
                        write!(this.out, "layout({}) ", glsl_storage_format(format))?;
                    }

                    // write the type
                    //
                    // This is way we need the leading space because `write_image_type` doesn't add
                    // any spaces at the beginning or end
                    this.write_image_type(dim, arrayed, class)?;
                }
                TypeInner::Pointer { base, .. } => {
                    // write parameter qualifiers
                    write!(this.out, "inout ")?;
                    this.write_type(base)?;
                }
                // All other types are written by `write_type`
                _ => {
                    this.write_type(arg.ty)?;
                }
            }

            // Write the argument name
            // The leading space is important
            write!(this.out, " {}", &this.names[&ctx.argument_key(i as u32)])?;

            // Write array size
            if let TypeInner::Array { base, size, .. } = this.module.types[arg.ty].inner {
                this.write_array_size(base, size)?;
            }

            Ok(())
        })?;

        // Close the parentheses and open braces to start the function body
        writeln!(self.out, ") {{")?;

        // Compose the function arguments from globals, in case of an entry point.
        if let back::FunctionType::EntryPoint(ep_index) = ctx.ty {
            let stage = self.module.entry_points[ep_index as usize].stage;
            for (index, arg) in func.arguments.iter().enumerate() {
                write!(self.out, "{}", back::INDENT)?;
                self.write_type(arg.ty)?;
                let name = &self.names[&NameKey::EntryPointArgument(ep_index, index as u32)];
                write!(self.out, " {}", name)?;
                write!(self.out, " = ")?;
                match self.module.types[arg.ty].inner {
                    crate::TypeInner::Struct { ref members, .. } => {
                        self.write_type(arg.ty)?;
                        write!(self.out, "(")?;
                        for (index, member) in members.iter().enumerate() {
                            let varying_name = VaryingName {
                                binding: member.binding.as_ref().unwrap(),
                                stage,
                                output: false,
                                targetting_webgl: self.options.version.is_webgl(),
                            };
                            if index != 0 {
                                write!(self.out, ", ")?;
                            }
                            write!(self.out, "{}", varying_name)?;
                        }
                        writeln!(self.out, ");")?;
                    }
                    _ => {
                        let varying_name = VaryingName {
                            binding: arg.binding.as_ref().unwrap(),
                            stage,
                            output: false,
                            targetting_webgl: self.options.version.is_webgl(),
                        };
                        writeln!(self.out, "{};", varying_name)?;
                    }
                }
            }
        }

        // Write all function locals
        // Locals are `type name (= init)?;` where the init part (including the =) are optional
        //
        // Always adds a newline
        for (handle, local) in func.local_variables.iter() {
            // Write indentation (only for readability) and the type
            // `write_type` adds no trailing space
            write!(self.out, "{}", back::INDENT)?;
            self.write_type(local.ty)?;

            // Write the local name
            // The leading space is important
            write!(self.out, " {}", self.names[&ctx.name_key(handle)])?;
            // Write size for array type
            if let TypeInner::Array { base, size, .. } = self.module.types[local.ty].inner {
                self.write_array_size(base, size)?;
            }
            // Write the local initializer if needed
            if let Some(init) = local.init {
                // Put the equal signal only if there's a initializer
                // The leading and trailing spaces aren't needed but help with readability
                write!(self.out, " = ")?;

                // Write the constant
                // `write_constant` adds no trailing or leading space/newline
                self.write_constant(init)?;
            } else if is_value_init_supported(self.module, local.ty) {
                write!(self.out, " = ")?;
                self.write_zero_init_value(local.ty)?;
            }

            // Finish the local with `;` and add a newline (only for readability)
            writeln!(self.out, ";")?
        }

        // Write the function body (statement list)
        for sta in func.body.iter() {
            // Write a statement, the indentation should always be 1 when writing the function body
            // `write_stmt` adds a newline
            self.write_stmt(sta, &ctx, back::Level(1))?;
        }

        // Close braces and add a newline
        writeln!(self.out, "}}")?;

        Ok(())
    }

    /// Helper method that writes a list of comma separated `T` with a writer function `F`
    ///
    /// The writer function `F` receives a mutable reference to `self` that if needed won't cause
    /// borrow checker issues (using for example a closure with `self` will cause issues), the
    /// second argument is the 0 based index of the element on the list, and the last element is
    /// a reference to the element `T` being written
    ///
    /// # Notes
    /// - Adds no newlines or leading/trailing whitespace
    /// - The last element won't have a trailing `,`
    fn write_slice<T, F: FnMut(&mut Self, u32, &T) -> BackendResult>(
        &mut self,
        data: &[T],
        mut f: F,
    ) -> BackendResult {
        // Loop trough `data` invoking `f` for each element
        for (i, item) in data.iter().enumerate() {
            f(self, i as u32, item)?;

            // Only write a comma if isn't the last element
            if i != data.len().saturating_sub(1) {
                // The leading space is for readability only
                write!(self.out, ", ")?;
            }
        }

        Ok(())
    }

    /// Helper method used to write constants
    ///
    /// # Notes
    /// Adds no newlines or leading/trailing whitespace
    fn write_constant(&mut self, handle: Handle<crate::Constant>) -> BackendResult {
        use crate::ScalarValue as Sv;

        match self.module.constants[handle].inner {
            crate::ConstantInner::Scalar {
                width: _,
                ref value,
            } => match *value {
                // Signed integers don't need anything special
                Sv::Sint(int) => write!(self.out, "{}", int)?,
                // Unsigned integers need a `u` at the end
                //
                // While `core` doesn't necessarily need it, it's allowed and since `es` needs it we
                // always write it as the extra branch wouldn't have any benefit in readability
                Sv::Uint(int) => write!(self.out, "{}u", int)?,
                // Floats are written using `Debug` instead of `Display` because it always appends the
                // decimal part even it's zero which is needed for a valid glsl float constant
                Sv::Float(float) => write!(self.out, "{:?}", float)?,
                // Booleans are either `true` or `false` so nothing special needs to be done
                Sv::Bool(boolean) => write!(self.out, "{}", boolean)?,
            },
            // Composite constant are created using the same syntax as compose
            // `type(components)` where `components` is a comma separated list of constants
            crate::ConstantInner::Composite { ty, ref components } => {
                self.write_type(ty)?;
                if let TypeInner::Array { base, size, .. } = self.module.types[ty].inner {
                    self.write_array_size(base, size)?;
                }
                write!(self.out, "(")?;

                // Write the comma separated constants
                self.write_slice(components, |this, _, arg| this.write_constant(*arg))?;

                write!(self.out, ")")?
            }
        }

        Ok(())
    }

    /// Helper method used to output a dot product as an arithmetic expression
    ///
    fn write_dot_product(
        &mut self,
        arg: Handle<crate::Expression>,
        arg1: Handle<crate::Expression>,
        size: usize,
        ctx: &back::FunctionCtx<'_>,
    ) -> BackendResult {
        // Write parantheses around the dot product expression to prevent operators
        // with different precedences from applying earlier.
        write!(self.out, "(")?;

        // Cycle trough all the components of the vector
        for index in 0..size {
            let component = back::COMPONENTS[index];
            // Write the addition to the previous product
            // This will print an extra '+' at the beginning but that is fine in glsl
            write!(self.out, " + ")?;
            // Write the first vector expression, this expression is marked to be
            // cached so unless it can't be cached (for example, it's a Constant)
            // it shouldn't produce large expressions.
            self.write_expr(arg, ctx)?;
            // Access the current component on the first vector
            write!(self.out, ".{} * ", component)?;
            // Write the second vector expression, this expression is marked to be
            // cached so unless it can't be cached (for example, it's a Constant)
            // it shouldn't produce large expressions.
            self.write_expr(arg1, ctx)?;
            // Access the current component on the second vector
            write!(self.out, ".{}", component)?;
        }

        write!(self.out, ")")?;
        Ok(())
    }

    /// Helper method used to write structs
    ///
    /// # Notes
    /// Ends in a newline
    fn write_struct_body(
        &mut self,
        handle: Handle<crate::Type>,
        members: &[crate::StructMember],
    ) -> BackendResult {
        // glsl structs are written as in C
        // `struct name() { members };`
        //  | `struct` is a keyword
        //  | `name` is the struct name
        //  | `members` is a semicolon separated list of `type name`
        //      | `type` is the member type
        //      | `name` is the member name
        writeln!(self.out, "{{")?;

        for (idx, member) in members.iter().enumerate() {
            // The indentation is only for readability
            write!(self.out, "{}", back::INDENT)?;

            match self.module.types[member.ty].inner {
                TypeInner::Array {
                    base,
                    size,
                    stride: _,
                } => {
                    self.write_type(base)?;
                    write!(
                        self.out,
                        " {}",
                        &self.names[&NameKey::StructMember(handle, idx as u32)]
                    )?;
                    // Write [size]
                    self.write_array_size(base, size)?;
                    // Newline is important
                    writeln!(self.out, ";")?;
                }
                _ => {
                    // Write the member type
                    // Adds no trailing space
                    self.write_type(member.ty)?;

                    // Write the member name and put a semicolon
                    // The leading space is important
                    // All members must have a semicolon even the last one
                    writeln!(
                        self.out,
                        " {};",
                        &self.names[&NameKey::StructMember(handle, idx as u32)]
                    )?;
                }
            }
        }

        write!(self.out, "}}")?;
        Ok(())
    }

    /// Helper method used to write statements
    ///
    /// # Notes
    /// Always adds a newline
    fn write_stmt(
        &mut self,
        sta: &crate::Statement,
        ctx: &back::FunctionCtx,
        level: back::Level,
    ) -> BackendResult {
        use crate::Statement;

        match *sta {
            // This is where we can generate intermediate constants for some expression types.
            Statement::Emit(ref range) => {
                for handle in range.clone() {
                    let info = &ctx.info[handle];
                    let ptr_class = info.ty.inner_with(&self.module.types).pointer_space();
                    let expr_name = if ptr_class.is_some() {
                        // GLSL can't save a pointer-valued expression in a variable,
                        // but we shouldn't ever need to: they should never be named expressions,
                        // and none of the expression types flagged by bake_ref_count can be pointer-valued.
                        None
                    } else if let Some(name) = ctx.named_expressions.get(&handle) {
                        // Front end provides names for all variables at the start of writing.
                        // But we write them to step by step. We need to recache them
                        // Otherwise, we could accidentally write variable name instead of full expression.
                        // Also, we use sanitized names! It defense backend from generating variable with name from reserved keywords.
                        Some(self.namer.call(name))
                    } else if self.need_bake_expressions.contains(&handle) {
                        Some(format!("{}{}", back::BAKE_PREFIX, handle.index()))
                    } else if info.ref_count == 0 {
                        Some(self.namer.call(""))
                    } else {
                        None
                    };

                    // If we are going to write an `ImageLoad` next and the target image
                    // is sampled and we are using the `Restrict` policy for bounds
                    // checking images we need to write a local holding the clamped lod.
                    if let crate::Expression::ImageLoad {
                        image,
                        level: Some(level_expr),
                        ..
                    } = ctx.expressions[handle]
                    {
                        if let TypeInner::Image {
                            class: crate::ImageClass::Sampled { .. },
                            ..
                        } = *ctx.info[image].ty.inner_with(&self.module.types)
                        {
                            if let proc::BoundsCheckPolicy::Restrict = self.policies.image {
                                write!(self.out, "{}", level)?;
                                self.write_clamped_lod(ctx, handle, image, level_expr)?
                            }
                        }
                    }

                    if let Some(name) = expr_name {
                        write!(self.out, "{}", level)?;
                        self.write_named_expr(handle, name, ctx)?;
                    }
                }
            }
            // Blocks are simple we just need to write the block statements between braces
            // We could also just print the statements but this is more readable and maps more
            // closely to the IR
            Statement::Block(ref block) => {
                write!(self.out, "{}", level)?;
                writeln!(self.out, "{{")?;
                for sta in block.iter() {
                    // Increase the indentation to help with readability
                    self.write_stmt(sta, ctx, level.next())?
                }
                writeln!(self.out, "{}}}", level)?
            }
            // Ifs are written as in C:
            // ```
            // if(condition) {
            //  accept
            // } else {
            //  reject
            // }
            // ```
            Statement::If {
                condition,
                ref accept,
                ref reject,
            } => {
                write!(self.out, "{}", level)?;
                write!(self.out, "if (")?;
                self.write_expr(condition, ctx)?;
                writeln!(self.out, ") {{")?;

                for sta in accept {
                    // Increase indentation to help with readability
                    self.write_stmt(sta, ctx, level.next())?;
                }

                // If there are no statements in the reject block we skip writing it
                // This is only for readability
                if !reject.is_empty() {
                    writeln!(self.out, "{}}} else {{", level)?;

                    for sta in reject {
                        // Increase indentation to help with readability
                        self.write_stmt(sta, ctx, level.next())?;
                    }
                }

                writeln!(self.out, "{}}}", level)?
            }
            // Switch are written as in C:
            // ```
            // switch (selector) {
            //      // Fallthrough
            //      case label:
            //          block
            //      // Non fallthrough
            //      case label:
            //          block
            //          break;
            //      default:
            //          block
            //  }
            //  ```
            //  Where the `default` case happens isn't important but we put it last
            //  so that we don't need to print a `break` for it
            Statement::Switch {
                selector,
                ref cases,
            } => {
                // Start the switch
                write!(self.out, "{}", level)?;
                write!(self.out, "switch(")?;
                self.write_expr(selector, ctx)?;
                writeln!(self.out, ") {{")?;
                let type_postfix = match *ctx.info[selector].ty.inner_with(&self.module.types) {
                    crate::TypeInner::Scalar {
                        kind: crate::ScalarKind::Uint,
                        ..
                    } => "u",
                    _ => "",
                };

                // Write all cases
                let l2 = level.next();
                for case in cases {
                    match case.value {
                        crate::SwitchValue::Integer(value) => {
                            writeln!(self.out, "{}case {}{}:", l2, value, type_postfix)?
                        }
                        crate::SwitchValue::Default => writeln!(self.out, "{}default:", l2)?,
                    }

                    for sta in case.body.iter() {
                        self.write_stmt(sta, ctx, l2.next())?;
                    }

                    // Write fallthrough comment if the case is fallthrough,
                    // otherwise write a break, if the case is not already
                    // broken out of at the end of its body.
                    if case.fall_through {
                        writeln!(self.out, "{}/* fallthrough */", l2.next())?;
                    } else if case.body.last().map_or(true, |s| !s.is_terminator()) {
                        writeln!(self.out, "{}break;", l2.next())?;
                    }
                }

                writeln!(self.out, "{}}}", level)?
            }
            // Loops in naga IR are based on wgsl loops, glsl can emulate the behaviour by using a
            // while true loop and appending the continuing block to the body resulting on:
            // ```
            // bool loop_init = true;
            // while(true) {
            //  if (!loop_init) { <continuing> }
            //  loop_init = false;
            //  <body>
            // }
            // ```
            Statement::Loop {
                ref body,
                ref continuing,
                break_if,
            } => {
                if !continuing.is_empty() || break_if.is_some() {
                    let gate_name = self.namer.call("loop_init");
                    writeln!(self.out, "{}bool {} = true;", level, gate_name)?;
                    writeln!(self.out, "{}while(true) {{", level)?;
                    let l2 = level.next();
                    let l3 = l2.next();
                    writeln!(self.out, "{}if (!{}) {{", l2, gate_name)?;
                    for sta in continuing {
                        self.write_stmt(sta, ctx, l3)?;
                    }
                    if let Some(condition) = break_if {
                        write!(self.out, "{}if (", l3)?;
                        self.write_expr(condition, ctx)?;
                        writeln!(self.out, ") {{")?;
                        writeln!(self.out, "{}break;", l3.next())?;
                        writeln!(self.out, "{}}}", l3)?;
                    }
                    writeln!(self.out, "{}}}", l2)?;
                    writeln!(self.out, "{}{} = false;", level.next(), gate_name)?;
                } else {
                    writeln!(self.out, "{}while(true) {{", level)?;
                }
                for sta in body {
                    self.write_stmt(sta, ctx, level.next())?;
                }
                writeln!(self.out, "{}}}", level)?
            }
            // Break, continue and return as written as in C
            // `break;`
            Statement::Break => {
                write!(self.out, "{}", level)?;
                writeln!(self.out, "break;")?
            }
            // `continue;`
            Statement::Continue => {
                write!(self.out, "{}", level)?;
                writeln!(self.out, "continue;")?
            }
            // `return expr;`, `expr` is optional
            Statement::Return { value } => {
                write!(self.out, "{}", level)?;
                match ctx.ty {
                    back::FunctionType::Function(_) => {
                        write!(self.out, "return")?;
                        // Write the expression to be returned if needed
                        if let Some(expr) = value {
                            write!(self.out, " ")?;
                            self.write_expr(expr, ctx)?;
                        }
                        writeln!(self.out, ";")?;
                    }
                    back::FunctionType::EntryPoint(ep_index) => {
                        let ep = &self.module.entry_points[ep_index as usize];
                        if let Some(ref result) = ep.function.result {
                            let value = value.unwrap();
                            match self.module.types[result.ty].inner {
                                crate::TypeInner::Struct { ref members, .. } => {
                                    let temp_struct_name = match ctx.expressions[value] {
                                        crate::Expression::Compose { .. } => {
                                            let return_struct = "_tmp_return";
                                            write!(
                                                self.out,
                                                "{} {} = ",
                                                &self.names[&NameKey::Type(result.ty)],
                                                return_struct
                                            )?;
                                            self.write_expr(value, ctx)?;
                                            writeln!(self.out, ";")?;
                                            write!(self.out, "{}", level)?;
                                            Some(return_struct)
                                        }
                                        _ => None,
                                    };

                                    for (index, member) in members.iter().enumerate() {
                                        // TODO: handle builtin in better way
                                        if let Some(crate::Binding::BuiltIn(builtin)) =
                                            member.binding
                                        {
                                            match builtin {
                                                crate::BuiltIn::ClipDistance
                                                | crate::BuiltIn::CullDistance
                                                | crate::BuiltIn::PointSize => {
                                                    if self.options.version.is_es() {
                                                        continue;
                                                    }
                                                }
                                                _ => {}
                                            }
                                        }

                                        let varying_name = VaryingName {
                                            binding: member.binding.as_ref().unwrap(),
                                            stage: ep.stage,
                                            output: true,
                                            targetting_webgl: self.options.version.is_webgl(),
                                        };
                                        write!(self.out, "{} = ", varying_name)?;

                                        if let Some(struct_name) = temp_struct_name {
                                            write!(self.out, "{}", struct_name)?;
                                        } else {
                                            self.write_expr(value, ctx)?;
                                        }

                                        // Write field name
                                        writeln!(
                                            self.out,
                                            ".{};",
                                            &self.names
                                                [&NameKey::StructMember(result.ty, index as u32)]
                                        )?;
                                        write!(self.out, "{}", level)?;
                                    }
                                }
                                _ => {
                                    let name = VaryingName {
                                        binding: result.binding.as_ref().unwrap(),
                                        stage: ep.stage,
                                        output: true,
                                        targetting_webgl: self.options.version.is_webgl(),
                                    };
                                    write!(self.out, "{} = ", name)?;
                                    self.write_expr(value, ctx)?;
                                    writeln!(self.out, ";")?;
                                    write!(self.out, "{}", level)?;
                                }
                            }
                        }

                        if let back::FunctionType::EntryPoint(ep_index) = ctx.ty {
                            if self.module.entry_points[ep_index as usize].stage
                                == crate::ShaderStage::Vertex
                                && self
                                    .options
                                    .writer_flags
                                    .contains(WriterFlags::ADJUST_COORDINATE_SPACE)
                            {
                                writeln!(
                                    self.out,
                                    "gl_Position.yz = vec2(-gl_Position.y, gl_Position.z * 2.0 - gl_Position.w);",
                                )?;
                                write!(self.out, "{}", level)?;
                            }
                        }
                        writeln!(self.out, "return;")?;
                    }
                }
            }
            // This is one of the places were glsl adds to the syntax of C in this case the discard
            // keyword which ceases all further processing in a fragment shader, it's called OpKill
            // in spir-v that's why it's called `Statement::Kill`
            Statement::Kill => writeln!(self.out, "{}discard;", level)?,
            // Issue a memory barrier. Please note that to ensure visibility,
            // OpenGL always requires a call to the `barrier()` function after a `memoryBarrier*()`
            Statement::Barrier(flags) => {
                if flags.contains(crate::Barrier::STORAGE) {
                    writeln!(self.out, "{}memoryBarrierBuffer();", level)?;
                }

                if flags.contains(crate::Barrier::WORK_GROUP) {
                    writeln!(self.out, "{}memoryBarrierShared();", level)?;
                }

                writeln!(self.out, "{}barrier();", level)?;
            }
            // Stores in glsl are just variable assignments written as `pointer = value;`
            Statement::Store { pointer, value } => {
                write!(self.out, "{}", level)?;
                self.write_expr(pointer, ctx)?;
                write!(self.out, " = ")?;
                self.write_expr(value, ctx)?;
                writeln!(self.out, ";")?
            }
            // Stores a value into an image.
            Statement::ImageStore {
                image,
                coordinate,
                array_index,
                value,
            } => {
                write!(self.out, "{}", level)?;
                self.write_image_store(ctx, image, coordinate, array_index, value)?
            }
            // A `Call` is written `name(arguments)` where `arguments` is a comma separated expressions list
            Statement::Call {
                function,
                ref arguments,
                result,
            } => {
                write!(self.out, "{}", level)?;
                if let Some(expr) = result {
                    let name = format!("{}{}", back::BAKE_PREFIX, expr.index());
                    let result = self.module.functions[function].result.as_ref().unwrap();
                    self.write_type(result.ty)?;
                    write!(self.out, " {} = ", name)?;
                    self.named_expressions.insert(expr, name);
                }
                write!(self.out, "{}(", &self.names[&NameKey::Function(function)])?;
                let arguments: Vec<_> = arguments
                    .iter()
                    .enumerate()
                    .filter_map(|(i, arg)| {
                        let arg_ty = self.module.functions[function].arguments[i].ty;
                        match self.module.types[arg_ty].inner {
                            TypeInner::Sampler { .. } => None,
                            _ => Some(*arg),
                        }
                    })
                    .collect();
                self.write_slice(&arguments, |this, _, arg| this.write_expr(*arg, ctx))?;
                writeln!(self.out, ");")?
            }
            Statement::Atomic {
                pointer,
                ref fun,
                value,
                result,
            } => {
                write!(self.out, "{}", level)?;
                let res_name = format!("{}{}", back::BAKE_PREFIX, result.index());
                let res_ty = ctx.info[result].ty.inner_with(&self.module.types);
                self.write_value_type(res_ty)?;
                write!(self.out, " {} = ", res_name)?;
                self.named_expressions.insert(result, res_name);

                let fun_str = fun.to_glsl();
                write!(self.out, "atomic{}(", fun_str)?;
                self.write_expr(pointer, ctx)?;
                write!(self.out, ", ")?;
                // handle the special cases
                match *fun {
                    crate::AtomicFunction::Subtract => {
                        // we just wrote `InterlockedAdd`, so negate the argument
                        write!(self.out, "-")?;
                    }
                    crate::AtomicFunction::Exchange { compare: Some(_) } => {
                        return Err(Error::Custom(
                            "atomic CompareExchange is not implemented".to_string(),
                        ));
                    }
                    _ => {}
                }
                self.write_expr(value, ctx)?;
                writeln!(self.out, ");")?;
            }
        }

        Ok(())
    }

    /// Helper method to write expressions
    ///
    /// # Notes
    /// Doesn't add any newlines or leading/trailing spaces
    fn write_expr(
        &mut self,
        expr: Handle<crate::Expression>,
        ctx: &back::FunctionCtx<'_>,
    ) -> BackendResult {
        use crate::Expression;

        if let Some(name) = self.named_expressions.get(&expr) {
            write!(self.out, "{}", name)?;
            return Ok(());
        }

        match ctx.expressions[expr] {
            // `Access` is applied to arrays, vectors and matrices and is written as indexing
            Expression::Access { base, index } => {
                self.write_expr(base, ctx)?;
                write!(self.out, "[")?;
                self.write_expr(index, ctx)?;
                write!(self.out, "]")?
            }
            // `AccessIndex` is the same as `Access` except that the index is a constant and it can
            // be applied to structs, in this case we need to find the name of the field at that
            // index and write `base.field_name`
            Expression::AccessIndex { base, index } => {
                self.write_expr(base, ctx)?;

                let base_ty_res = &ctx.info[base].ty;
                let mut resolved = base_ty_res.inner_with(&self.module.types);
                let base_ty_handle = match *resolved {
                    TypeInner::Pointer { base, space: _ } => {
                        resolved = &self.module.types[base].inner;
                        Some(base)
                    }
                    _ => base_ty_res.handle(),
                };

                match *resolved {
                    TypeInner::Vector { .. } => {
                        // Write vector access as a swizzle
                        write!(self.out, ".{}", back::COMPONENTS[index as usize])?
                    }
                    TypeInner::Matrix { .. }
                    | TypeInner::Array { .. }
                    | TypeInner::ValuePointer { .. } => write!(self.out, "[{}]", index)?,
                    TypeInner::Struct { .. } => {
                        // This will never panic in case the type is a `Struct`, this is not true
                        // for other types so we can only check while inside this match arm
                        let ty = base_ty_handle.unwrap();

                        write!(
                            self.out,
                            ".{}",
                            &self.names[&NameKey::StructMember(ty, index)]
                        )?
                    }
                    ref other => return Err(Error::Custom(format!("Cannot index {:?}", other))),
                }
            }
            // Constants are delegated to `write_constant`
            Expression::Constant(constant) => self.write_constant(constant)?,
            // `Splat` needs to actually write down a vector, it's not always inferred in GLSL.
            Expression::Splat { size: _, value } => {
                let resolved = ctx.info[expr].ty.inner_with(&self.module.types);
                self.write_value_type(resolved)?;
                write!(self.out, "(")?;
                self.write_expr(value, ctx)?;
                write!(self.out, ")")?
            }
            // `Swizzle` adds a few letters behind the dot.
            Expression::Swizzle {
                size,
                vector,
                pattern,
            } => {
                self.write_expr(vector, ctx)?;
                write!(self.out, ".")?;
                for &sc in pattern[..size as usize].iter() {
                    self.out.write_char(back::COMPONENTS[sc as usize])?;
                }
            }
            // `Compose` is pretty simple we just write `type(components)` where `components` is a
            // comma separated list of expressions
            Expression::Compose { ty, ref components } => {
                self.write_type(ty)?;

                let resolved = ctx.info[expr].ty.inner_with(&self.module.types);
                if let TypeInner::Array { base, size, .. } = *resolved {
                    self.write_array_size(base, size)?;
                }

                write!(self.out, "(")?;
                self.write_slice(components, |this, _, arg| this.write_expr(*arg, ctx))?;
                write!(self.out, ")")?
            }
            // Function arguments are written as the argument name
            Expression::FunctionArgument(pos) => {
                write!(self.out, "{}", &self.names[&ctx.argument_key(pos)])?
            }
            // Global variables need some special work for their name but
            // `get_global_name` does the work for us
            Expression::GlobalVariable(handle) => {
                let global = &self.module.global_variables[handle];
                self.write_global_name(handle, global)?
            }
            // A local is written as it's name
            Expression::LocalVariable(handle) => {
                write!(self.out, "{}", self.names[&ctx.name_key(handle)])?
            }
            // glsl has no pointers so there's no load operation, just write the pointer expression
            Expression::Load { pointer } => self.write_expr(pointer, ctx)?,
            // `ImageSample` is a bit complicated compared to the rest of the IR.
            //
            // First there are three variations depending whether the sample level is explicitly set,
            // if it's automatic or it it's bias:
            // `texture(image, coordinate)` - Automatic sample level
            // `texture(image, coordinate, bias)` - Bias sample level
            // `textureLod(image, coordinate, level)` - Zero or Exact sample level
            //
            // Furthermore if `depth_ref` is some we need to append it to the coordinate vector
            Expression::ImageSample {
                image,
                sampler: _, //TODO?
                gather,
                coordinate,
                array_index,
                offset,
                level,
                depth_ref,
            } => {
                let dim = match *ctx.info[image].ty.inner_with(&self.module.types) {
                    TypeInner::Image { dim, .. } => dim,
                    _ => unreachable!(),
                };

                if dim == crate::ImageDimension::Cube
                    && array_index.is_some()
                    && depth_ref.is_some()
                {
                    match level {
                        crate::SampleLevel::Zero
                        | crate::SampleLevel::Exact(_)
                        | crate::SampleLevel::Gradient { .. }
                        | crate::SampleLevel::Bias(_) => {
                            return Err(Error::Custom(String::from(
                                "gsamplerCubeArrayShadow isn't supported in textureGrad, \
                                 textureLod or texture with bias",
                            )))
                        }
                        crate::SampleLevel::Auto => {}
                    }
                }

                // textureLod on sampler2DArrayShadow and samplerCubeShadow does not exist in GLSL.
                // To emulate this, we will have to use textureGrad with a constant gradient of 0.
                let workaround_lod_array_shadow_as_grad = (array_index.is_some()
                    || dim == crate::ImageDimension::Cube)
                    && depth_ref.is_some()
                    && gather.is_none()
                    && !self
                        .options
                        .writer_flags
                        .contains(WriterFlags::TEXTURE_SHADOW_LOD);

                //Write the function to be used depending on the sample level
                let fun_name = match level {
                    crate::SampleLevel::Zero if gather.is_some() => "textureGather",
                    crate::SampleLevel::Auto | crate::SampleLevel::Bias(_) => "texture",
                    crate::SampleLevel::Zero | crate::SampleLevel::Exact(_) => {
                        if workaround_lod_array_shadow_as_grad {
                            "textureGrad"
                        } else {
                            "textureLod"
                        }
                    }
                    crate::SampleLevel::Gradient { .. } => "textureGrad",
                };
                let offset_name = match offset {
                    Some(_) => "Offset",
                    None => "",
                };

                write!(self.out, "{}{}(", fun_name, offset_name)?;

                // Write the image that will be used
                self.write_expr(image, ctx)?;
                // The space here isn't required but it helps with readability
                write!(self.out, ", ")?;

                // We need to get the coordinates vector size to later build a vector that's `size + 1`
                // if `depth_ref` is some, if it isn't a vector we panic as that's not a valid expression
                let mut coord_dim = match *ctx.info[coordinate].ty.inner_with(&self.module.types) {
                    TypeInner::Vector { size, .. } => size as u8,
                    TypeInner::Scalar { .. } => 1,
                    _ => unreachable!(),
                };

                if array_index.is_some() {
                    coord_dim += 1;
                }
                let merge_depth_ref = depth_ref.is_some() && gather.is_none() && coord_dim < 4;
                if merge_depth_ref {
                    coord_dim += 1;
                }

                let tex_1d_hack = dim == crate::ImageDimension::D1 && self.options.version.is_es();
                let is_vec = tex_1d_hack || coord_dim != 1;
                // Compose a new texture coordinates vector
                if is_vec {
                    write!(self.out, "vec{}(", coord_dim + tex_1d_hack as u8)?;
                }
                self.write_expr(coordinate, ctx)?;
                if tex_1d_hack {
                    write!(self.out, ", 0.0")?;
                }
                if let Some(expr) = array_index {
                    write!(self.out, ", ")?;
                    self.write_expr(expr, ctx)?;
                }
                if merge_depth_ref {
                    write!(self.out, ", ")?;
                    self.write_expr(depth_ref.unwrap(), ctx)?;
                }
                if is_vec {
                    write!(self.out, ")")?;
                }

                if let (Some(expr), false) = (depth_ref, merge_depth_ref) {
                    write!(self.out, ", ")?;
                    self.write_expr(expr, ctx)?;
                }

                match level {
                    // Auto needs no more arguments
                    crate::SampleLevel::Auto => (),
                    // Zero needs level set to 0
                    crate::SampleLevel::Zero => {
                        if workaround_lod_array_shadow_as_grad {
                            let vec_dim = match dim {
                                crate::ImageDimension::Cube => 3,
                                _ => 2,
                            };
                            write!(self.out, ", vec{}(0.0), vec{}(0.0)", vec_dim, vec_dim)?;
                        } else if gather.is_none() {
                            write!(self.out, ", 0.0")?;
                        }
                    }
                    // Exact and bias require another argument
                    crate::SampleLevel::Exact(expr) => {
                        if workaround_lod_array_shadow_as_grad {
                            log::warn!("Unable to `textureLod` a shadow array, ignoring the LOD");
                            write!(self.out, ", vec2(0,0), vec2(0,0)")?;
                        } else {
                            write!(self.out, ", ")?;
                            self.write_expr(expr, ctx)?;
                        }
                    }
                    crate::SampleLevel::Bias(_) => {
                        // This needs to be done after the offset writing
                    }
                    crate::SampleLevel::Gradient { x, y } => {
                        // If we are using sampler2D to replace sampler1D, we also
                        // need to make sure to use vec2 gradients
                        if tex_1d_hack {
                            write!(self.out, ", vec2(")?;
                            self.write_expr(x, ctx)?;
                            write!(self.out, ", 0.0)")?;
                            write!(self.out, ", vec2(")?;
                            self.write_expr(y, ctx)?;
                            write!(self.out, ", 0.0)")?;
                        } else {
                            write!(self.out, ", ")?;
                            self.write_expr(x, ctx)?;
                            write!(self.out, ", ")?;
                            self.write_expr(y, ctx)?;
                        }
                    }
                }

                if let Some(constant) = offset {
                    write!(self.out, ", ")?;
                    if tex_1d_hack {
                        write!(self.out, "ivec2(")?;
                    }
                    self.write_constant(constant)?;
                    if tex_1d_hack {
                        write!(self.out, ", 0)")?;
                    }
                }

                // Bias is always the last argument
                if let crate::SampleLevel::Bias(expr) = level {
                    write!(self.out, ", ")?;
                    self.write_expr(expr, ctx)?;
                }

                if let (Some(component), None) = (gather, depth_ref) {
                    write!(self.out, ", {}", component as usize)?;
                }

                // End the function
                write!(self.out, ")")?
            }
            Expression::ImageLoad {
                image,
                coordinate,
                array_index,
                sample,
                level,
            } => self.write_image_load(expr, ctx, image, coordinate, array_index, sample, level)?,
            // Query translates into one of the:
            // - textureSize/imageSize
            // - textureQueryLevels
            // - textureSamples/imageSamples
            Expression::ImageQuery { image, query } => {
                use crate::ImageClass;

                // This will only panic if the module is invalid
                let (dim, class) = match *ctx.info[image].ty.inner_with(&self.module.types) {
                    TypeInner::Image {
                        dim,
                        arrayed: _,
                        class,
                    } => (dim, class),
                    _ => unreachable!(),
                };
                let components = match dim {
                    crate::ImageDimension::D1 => 1,
                    crate::ImageDimension::D2 => 2,
                    crate::ImageDimension::D3 => 3,
                    crate::ImageDimension::Cube => 2,
                };
                match query {
                    crate::ImageQuery::Size { level } => {
                        match class {
                            ImageClass::Sampled { multi, .. } | ImageClass::Depth { multi } => {
                                write!(self.out, "textureSize(")?;
                                self.write_expr(image, ctx)?;
                                if let Some(expr) = level {
                                    write!(self.out, ", ")?;
                                    self.write_expr(expr, ctx)?;
                                } else if !multi {
                                    // All textureSize calls requires an lod argument
                                    // except for multisampled samplers
                                    write!(self.out, ", 0")?;
                                }
                            }
                            ImageClass::Storage { .. } => {
                                write!(self.out, "imageSize(")?;
                                self.write_expr(image, ctx)?;
                            }
                        }
                        write!(self.out, ")")?;
                        if components != 1 || self.options.version.is_es() {
                            write!(self.out, ".{}", &"xyz"[..components])?;
                        }
                    }
                    crate::ImageQuery::NumLevels => {
                        write!(self.out, "textureQueryLevels(",)?;
                        self.write_expr(image, ctx)?;
                        write!(self.out, ")",)?;
                    }
                    crate::ImageQuery::NumLayers => {
                        let fun_name = match class {
                            ImageClass::Sampled { .. } | ImageClass::Depth { .. } => "textureSize",
                            ImageClass::Storage { .. } => "imageSize",
                        };
                        write!(self.out, "{}(", fun_name)?;
                        self.write_expr(image, ctx)?;
                        // All textureSize calls requires an lod argument
                        // except for multisampled samplers
                        if class.is_multisampled() {
                            write!(self.out, ", 0")?;
                        }
                        write!(self.out, ")")?;
                        if components != 1 || self.options.version.is_es() {
                            write!(self.out, ".{}", back::COMPONENTS[components])?;
                        }
                    }
                    crate::ImageQuery::NumSamples => {
                        let fun_name = match class {
                            ImageClass::Sampled { .. } | ImageClass::Depth { .. } => {
                                "textureSamples"
                            }
                            ImageClass::Storage { .. } => "imageSamples",
                        };
                        write!(self.out, "{}(", fun_name)?;
                        self.write_expr(image, ctx)?;
                        write!(self.out, ")",)?;
                    }
                }
            }
            // `Unary` is pretty straightforward
            // "-" - for `Negate`
            // "~" - for `Not` if it's an integer
            // "!" - for `Not` if it's a boolean
            //
            // We also wrap the everything in parentheses to avoid precedence issues
            Expression::Unary { op, expr } => {
                use crate::{ScalarKind as Sk, UnaryOperator as Uo};

                let ty = ctx.info[expr].ty.inner_with(&self.module.types);

                match *ty {
                    TypeInner::Vector { kind: Sk::Bool, .. } => {
                        write!(self.out, "not(")?;
                    }
                    _ => {
                        let operator = match op {
                            Uo::Negate => "-",
                            Uo::Not => match ty.scalar_kind() {
                                Some(Sk::Sint) | Some(Sk::Uint) => "~",
                                Some(Sk::Bool) => "!",
                                ref other => {
                                    return Err(Error::Custom(format!(
                                        "Cannot apply not to type {:?}",
                                        other
                                    )))
                                }
                            },
                        };

                        write!(self.out, "({}", operator)?;
                    }
                }

                self.write_expr(expr, ctx)?;

                write!(self.out, ")")?
            }
            // `Binary` we just write `left op right`, except when dealing with
            // comparison operations on vectors as they are implemented with
            // builtin functions.
            // Once again we wrap everything in parentheses to avoid precedence issues
            Expression::Binary {
                mut op,
                left,
                right,
            } => {
                // Holds `Some(function_name)` if the binary operation is
                // implemented as a function call
                use crate::{BinaryOperator as Bo, ScalarKind as Sk, TypeInner as Ti};

                let left_inner = ctx.info[left].ty.inner_with(&self.module.types);
                let right_inner = ctx.info[right].ty.inner_with(&self.module.types);

                let function = match (left_inner, right_inner) {
                    (&Ti::Vector { kind, .. }, &Ti::Vector { .. }) => match op {
                        Bo::Less
                        | Bo::LessEqual
                        | Bo::Greater
                        | Bo::GreaterEqual
                        | Bo::Equal
                        | Bo::NotEqual => BinaryOperation::VectorCompare,
                        Bo::Modulo if kind == Sk::Float => BinaryOperation::Modulo,
                        Bo::And if kind == Sk::Bool => {
                            op = crate::BinaryOperator::LogicalAnd;
                            BinaryOperation::VectorComponentWise
                        }
                        Bo::InclusiveOr if kind == Sk::Bool => {
                            op = crate::BinaryOperator::LogicalOr;
                            BinaryOperation::VectorComponentWise
                        }
                        _ => BinaryOperation::Other,
                    },
                    _ => match (left_inner.scalar_kind(), right_inner.scalar_kind()) {
                        (Some(Sk::Float), _) | (_, Some(Sk::Float)) => match op {
                            Bo::Modulo => BinaryOperation::Modulo,
                            _ => BinaryOperation::Other,
                        },
                        (Some(Sk::Bool), Some(Sk::Bool)) => match op {
                            Bo::InclusiveOr => {
                                op = crate::BinaryOperator::LogicalOr;
                                BinaryOperation::Other
                            }
                            Bo::And => {
                                op = crate::BinaryOperator::LogicalAnd;
                                BinaryOperation::Other
                            }
                            _ => BinaryOperation::Other,
                        },
                        _ => BinaryOperation::Other,
                    },
                };

                match function {
                    BinaryOperation::VectorCompare => {
                        let op_str = match op {
                            Bo::Less => "lessThan(",
                            Bo::LessEqual => "lessThanEqual(",
                            Bo::Greater => "greaterThan(",
                            Bo::GreaterEqual => "greaterThanEqual(",
                            Bo::Equal => "equal(",
                            Bo::NotEqual => "notEqual(",
                            _ => unreachable!(),
                        };
                        write!(self.out, "{}", op_str)?;
                        self.write_expr(left, ctx)?;
                        write!(self.out, ", ")?;
                        self.write_expr(right, ctx)?;
                        write!(self.out, ")")?;
                    }
                    BinaryOperation::VectorComponentWise => {
                        self.write_value_type(left_inner)?;
                        write!(self.out, "(")?;

                        let size = match *left_inner {
                            Ti::Vector { size, .. } => size,
                            _ => unreachable!(),
                        };

                        for i in 0..size as usize {
                            if i != 0 {
                                write!(self.out, ", ")?;
                            }

                            self.write_expr(left, ctx)?;
                            write!(self.out, ".{}", back::COMPONENTS[i])?;

                            write!(self.out, " {} ", back::binary_operation_str(op))?;

                            self.write_expr(right, ctx)?;
                            write!(self.out, ".{}", back::COMPONENTS[i])?;
                        }

                        write!(self.out, ")")?;
                    }
                    // TODO: handle undefined behavior of BinaryOperator::Modulo
                    //
                    // sint:
                    // if right == 0 return 0
                    // if left == min(type_of(left)) && right == -1 return 0
                    // if sign(left) == -1 || sign(right) == -1 return result as defined by WGSL
                    //
                    // uint:
                    // if right == 0 return 0
                    //
                    // float:
                    // if right == 0 return ? see https://github.com/gpuweb/gpuweb/issues/2798
                    BinaryOperation::Modulo => {
                        write!(self.out, "(")?;

                        // write `e1 - e2 * trunc(e1 / e2)`
                        self.write_expr(left, ctx)?;
                        write!(self.out, " - ")?;
                        self.write_expr(right, ctx)?;
                        write!(self.out, " * ")?;
                        write!(self.out, "trunc(")?;
                        self.write_expr(left, ctx)?;
                        write!(self.out, " / ")?;
                        self.write_expr(right, ctx)?;
                        write!(self.out, ")")?;

                        write!(self.out, ")")?;
                    }
                    BinaryOperation::Other => {
                        write!(self.out, "(")?;

                        self.write_expr(left, ctx)?;
                        write!(self.out, " {} ", back::binary_operation_str(op))?;
                        self.write_expr(right, ctx)?;

                        write!(self.out, ")")?;
                    }
                }
            }
            // `Select` is written as `condition ? accept : reject`
            // We wrap everything in parentheses to avoid precedence issues
            Expression::Select {
                condition,
                accept,
                reject,
            } => {
                let cond_ty = ctx.info[condition].ty.inner_with(&self.module.types);
                let vec_select = if let TypeInner::Vector { .. } = *cond_ty {
                    true
                } else {
                    false
                };

                // TODO: Boolean mix on desktop required GL_EXT_shader_integer_mix
                if vec_select {
                    // Glsl defines that for mix when the condition is a boolean the first element
                    // is picked if condition is false and the second if condition is true
                    write!(self.out, "mix(")?;
                    self.write_expr(reject, ctx)?;
                    write!(self.out, ", ")?;
                    self.write_expr(accept, ctx)?;
                    write!(self.out, ", ")?;
                    self.write_expr(condition, ctx)?;
                } else {
                    write!(self.out, "(")?;
                    self.write_expr(condition, ctx)?;
                    write!(self.out, " ? ")?;
                    self.write_expr(accept, ctx)?;
                    write!(self.out, " : ")?;
                    self.write_expr(reject, ctx)?;
                }

                write!(self.out, ")")?
            }
            // `Derivative` is a function call to a glsl provided function
            Expression::Derivative { axis, expr } => {
                use crate::DerivativeAxis as Da;

                write!(
                    self.out,
                    "{}(",
                    match axis {
                        Da::X => "dFdx",
                        Da::Y => "dFdy",
                        Da::Width => "fwidth",
                    }
                )?;
                self.write_expr(expr, ctx)?;
                write!(self.out, ")")?
            }
            // `Relational` is a normal function call to some glsl provided functions
            Expression::Relational { fun, argument } => {
                use crate::RelationalFunction as Rf;

                let fun_name = match fun {
                    // There's no specific function for this but we can invert the result of `isinf`
                    Rf::IsFinite => "!isinf",
                    Rf::IsInf => "isinf",
                    Rf::IsNan => "isnan",
                    // There's also no function for this but we can invert `isnan`
                    Rf::IsNormal => "!isnan",
                    Rf::All => "all",
                    Rf::Any => "any",
                };
                write!(self.out, "{}(", fun_name)?;

                self.write_expr(argument, ctx)?;

                write!(self.out, ")")?
            }
            Expression::Math {
                fun,
                arg,
                arg1,
                arg2,
                arg3,
            } => {
                use crate::MathFunction as Mf;

                let fun_name = match fun {
                    // comparison
                    Mf::Abs => "abs",
                    Mf::Min => "min",
                    Mf::Max => "max",
                    Mf::Clamp => "clamp",
                    Mf::Saturate => {
                        write!(self.out, "clamp(")?;

                        self.write_expr(arg, ctx)?;

                        match *ctx.info[arg].ty.inner_with(&self.module.types) {
                            crate::TypeInner::Vector { size, .. } => write!(
                                self.out,
                                ", vec{}(0.0), vec{0}(1.0)",
                                back::vector_size_str(size)
                            )?,
                            _ => write!(self.out, ", 0.0, 1.0")?,
                        }

                        write!(self.out, ")")?;

                        return Ok(());
                    }
                    // trigonometry
                    Mf::Cos => "cos",
                    Mf::Cosh => "cosh",
                    Mf::Sin => "sin",
                    Mf::Sinh => "sinh",
                    Mf::Tan => "tan",
                    Mf::Tanh => "tanh",
                    Mf::Acos => "acos",
                    Mf::Asin => "asin",
                    Mf::Atan => "atan",
                    Mf::Asinh => "asinh",
                    Mf::Acosh => "acosh",
                    Mf::Atanh => "atanh",
                    Mf::Radians => "radians",
                    Mf::Degrees => "degrees",
                    // glsl doesn't have atan2 function
                    // use two-argument variation of the atan function
                    Mf::Atan2 => "atan",
                    // decomposition
                    Mf::Ceil => "ceil",
                    Mf::Floor => "floor",
                    Mf::Round => "roundEven",
                    Mf::Fract => "fract",
                    Mf::Trunc => "trunc",
                    Mf::Modf => "modf",
                    Mf::Frexp => "frexp",
                    Mf::Ldexp => "ldexp",
                    // exponent
                    Mf::Exp => "exp",
                    Mf::Exp2 => "exp2",
                    Mf::Log => "log",
                    Mf::Log2 => "log2",
                    Mf::Pow => "pow",
                    // geometry
                    Mf::Dot => match *ctx.info[arg].ty.inner_with(&self.module.types) {
                        crate::TypeInner::Vector {
                            kind: crate::ScalarKind::Float,
                            ..
                        } => "dot",
                        crate::TypeInner::Vector { size, .. } => {
                            return self.write_dot_product(arg, arg1.unwrap(), size as usize, ctx)
                        }
                        _ => unreachable!(
                            "Correct TypeInner for dot product should be already validated"
                        ),
                    },
                    Mf::Outer => "outerProduct",
                    Mf::Cross => "cross",
                    Mf::Distance => "distance",
                    Mf::Length => "length",
                    Mf::Normalize => "normalize",
                    Mf::FaceForward => "faceforward",
                    Mf::Reflect => "reflect",
                    Mf::Refract => "refract",
                    // computational
                    Mf::Sign => "sign",
                    Mf::Fma => {
                        if self.options.version.supports_fma_function() {
                            // Use the fma function when available
                            "fma"
                        } else {
                            // No fma support. Transform the function call into an arithmetic expression
                            write!(self.out, "(")?;

                            self.write_expr(arg, ctx)?;
                            write!(self.out, " * ")?;

                            let arg1 =
                                arg1.ok_or_else(|| Error::Custom("Missing fma arg1".to_owned()))?;
                            self.write_expr(arg1, ctx)?;
                            write!(self.out, " + ")?;

                            let arg2 =
                                arg2.ok_or_else(|| Error::Custom("Missing fma arg2".to_owned()))?;
                            self.write_expr(arg2, ctx)?;
                            write!(self.out, ")")?;

                            return Ok(());
                        }
                    }
                    Mf::Mix => "mix",
                    Mf::Step => "step",
                    Mf::SmoothStep => "smoothstep",
                    Mf::Sqrt => "sqrt",
                    Mf::InverseSqrt => "inversesqrt",
                    Mf::Inverse => "inverse",
                    Mf::Transpose => "transpose",
                    Mf::Determinant => "determinant",
                    // bits
                    Mf::CountOneBits => "bitCount",
                    Mf::ReverseBits => "bitfieldReverse",
                    Mf::ExtractBits => "bitfieldExtract",
                    Mf::InsertBits => "bitfieldInsert",
                    Mf::FindLsb => "findLSB",
                    Mf::FindMsb => "findMSB",
                    // data packing
                    Mf::Pack4x8snorm => "packSnorm4x8",
                    Mf::Pack4x8unorm => "packUnorm4x8",
                    Mf::Pack2x16snorm => "packSnorm2x16",
                    Mf::Pack2x16unorm => "packUnorm2x16",
                    Mf::Pack2x16float => "packHalf2x16",
                    // data unpacking
                    Mf::Unpack4x8snorm => "unpackSnorm4x8",
                    Mf::Unpack4x8unorm => "unpackUnorm4x8",
                    Mf::Unpack2x16snorm => "unpackSnorm2x16",
                    Mf::Unpack2x16unorm => "unpackUnorm2x16",
                    Mf::Unpack2x16float => "unpackHalf2x16",
                };

                let extract_bits = fun == Mf::ExtractBits;
                let insert_bits = fun == Mf::InsertBits;

                // Some GLSL functions always return signed integers (like findMSB),
                // so they need to be cast to uint if the argument is also an uint.
                let ret_might_need_int_to_uint =
                    matches!(fun, Mf::FindLsb | Mf::FindMsb | Mf::CountOneBits | Mf::Abs);

                // Some GLSL functions only accept signed integers (like abs),
                // so they need their argument cast from uint to int.
                let arg_might_need_uint_to_int = matches!(fun, Mf::Abs);

                // Check if the argument is an unsigned integer and return the vector size
                // in case it's a vector
                let maybe_uint_size = match *ctx.info[arg].ty.inner_with(&self.module.types) {
                    crate::TypeInner::Scalar {
                        kind: crate::ScalarKind::Uint,
                        ..
                    } => Some(None),
                    crate::TypeInner::Vector {
                        kind: crate::ScalarKind::Uint,
                        size,
                        ..
                    } => Some(Some(size)),
                    _ => None,
                };

                // Cast to uint if the function needs it
                if ret_might_need_int_to_uint {
                    if let Some(maybe_size) = maybe_uint_size {
                        match maybe_size {
                            Some(size) => write!(self.out, "uvec{}(", size as u8)?,
                            None => write!(self.out, "uint(")?,
                        }
                    }
                }

                write!(self.out, "{}(", fun_name)?;

                // Cast to int if the function needs it
                if arg_might_need_uint_to_int {
                    if let Some(maybe_size) = maybe_uint_size {
                        match maybe_size {
                            Some(size) => write!(self.out, "ivec{}(", size as u8)?,
                            None => write!(self.out, "int(")?,
                        }
                    }
                }

                self.write_expr(arg, ctx)?;

                // Close the cast from uint to int
                if arg_might_need_uint_to_int && maybe_uint_size.is_some() {
                    write!(self.out, ")")?
                }

                if let Some(arg) = arg1 {
                    write!(self.out, ", ")?;
                    if extract_bits {
                        write!(self.out, "int(")?;
                        self.write_expr(arg, ctx)?;
                        write!(self.out, ")")?;
                    } else {
                        self.write_expr(arg, ctx)?;
                    }
                }
                if let Some(arg) = arg2 {
                    write!(self.out, ", ")?;
                    if extract_bits || insert_bits {
                        write!(self.out, "int(")?;
                        self.write_expr(arg, ctx)?;
                        write!(self.out, ")")?;
                    } else {
                        self.write_expr(arg, ctx)?;
                    }
                }
                if let Some(arg) = arg3 {
                    write!(self.out, ", ")?;
                    if insert_bits {
                        write!(self.out, "int(")?;
                        self.write_expr(arg, ctx)?;
                        write!(self.out, ")")?;
                    } else {
                        self.write_expr(arg, ctx)?;
                    }
                }
                write!(self.out, ")")?;

                // Close the cast from int to uint
                if ret_might_need_int_to_uint && maybe_uint_size.is_some() {
                    write!(self.out, ")")?
                }
            }
            // `As` is always a call.
            // If `convert` is true the function name is the type
            // Else the function name is one of the glsl provided bitcast functions
            Expression::As {
                expr,
                kind: target_kind,
                convert,
            } => {
                let inner = ctx.info[expr].ty.inner_with(&self.module.types);
                match convert {
                    Some(width) => {
                        // this is similar to `write_type`, but with the target kind
                        let scalar = glsl_scalar(target_kind, width)?;
                        match *inner {
                            TypeInner::Matrix { columns, rows, .. } => write!(
                                self.out,
                                "{}mat{}x{}",
                                scalar.prefix, columns as u8, rows as u8
                            )?,
                            TypeInner::Vector { size, .. } => {
                                write!(self.out, "{}vec{}", scalar.prefix, size as u8)?
                            }
                            _ => write!(self.out, "{}", scalar.full)?,
                        }

                        write!(self.out, "(")?;
                        self.write_expr(expr, ctx)?;
                        write!(self.out, ")")?
                    }
                    None => {
                        use crate::ScalarKind as Sk;

                        let target_vector_type = match *inner {
                            TypeInner::Vector { size, width, .. } => Some(TypeInner::Vector {
                                size,
                                width,
                                kind: target_kind,
                            }),
                            _ => None,
                        };

                        let source_kind = inner.scalar_kind().unwrap();

                        match (source_kind, target_kind, target_vector_type) {
                            // No conversion needed
                            (Sk::Sint, Sk::Sint, _)
                            | (Sk::Uint, Sk::Uint, _)
                            | (Sk::Float, Sk::Float, _)
                            | (Sk::Bool, Sk::Bool, _) => {
                                self.write_expr(expr, ctx)?;
                                return Ok(());
                            }

                            // Cast to/from floats
                            (Sk::Float, Sk::Sint, _) => write!(self.out, "floatBitsToInt")?,
                            (Sk::Float, Sk::Uint, _) => write!(self.out, "floatBitsToUint")?,
                            (Sk::Sint, Sk::Float, _) => write!(self.out, "intBitsToFloat")?,
                            (Sk::Uint, Sk::Float, _) => write!(self.out, "uintBitsToFloat")?,

                            // Cast between vector types
                            (_, _, Some(vector)) => {
                                self.write_value_type(&vector)?;
                            }

                            // There is no way to bitcast between Uint/Sint in glsl. Use constructor conversion
                            (Sk::Uint | Sk::Bool, Sk::Sint, None) => write!(self.out, "int")?,
                            (Sk::Sint | Sk::Bool, Sk::Uint, None) => write!(self.out, "uint")?,
                            (Sk::Bool, Sk::Float, None) => write!(self.out, "float")?,
                            (Sk::Sint | Sk::Uint | Sk::Float, Sk::Bool, None) => {
                                write!(self.out, "bool")?
                            }
                        };

                        write!(self.out, "(")?;
                        self.write_expr(expr, ctx)?;
                        write!(self.out, ")")?;
                    }
                }
            }
            // These expressions never show up in `Emit`.
            Expression::CallResult(_) | Expression::AtomicResult { .. } => unreachable!(),
            // `ArrayLength` is written as `expr.length()` and we convert it to a uint
            Expression::ArrayLength(expr) => {
                write!(self.out, "uint(")?;
                self.write_expr(expr, ctx)?;
                write!(self.out, ".length())")?
            }
        }

        Ok(())
    }

    /// Helper function to write the local holding the clamped lod
    fn write_clamped_lod(
        &mut self,
        ctx: &back::FunctionCtx,
        expr: Handle<crate::Expression>,
        image: Handle<crate::Expression>,
        level_expr: Handle<crate::Expression>,
    ) -> Result<(), Error> {
        // Define our local and start a call to `clamp`
        write!(
            self.out,
            "int {}{}{} = clamp(",
            back::BAKE_PREFIX,
            expr.index(),
            CLAMPED_LOD_SUFFIX
        )?;
        // Write the lod that will be clamped
        self.write_expr(level_expr, ctx)?;
        // Set the min value to 0 and start a call to `textureQueryLevels` to get
        // the maximum value
        write!(self.out, ", 0, textureQueryLevels(")?;
        // Write the target image as an argument to `textureQueryLevels`
        self.write_expr(image, ctx)?;
        // Close the call to `textureQueryLevels` subtract 1 from it since
        // the lod argument is 0 based, close the `clamp` call and end the
        // local declaration statement.
        writeln!(self.out, ") - 1);")?;

        Ok(())
    }

    // Helper method used to retrieve how many elements a coordinate vector
    // for the images operations need.
    fn get_coordinate_vector_size(&self, dim: crate::ImageDimension, arrayed: bool) -> u8 {
        // openGL es doesn't have 1D images so we need workaround it
        let tex_1d_hack = dim == crate::ImageDimension::D1 && self.options.version.is_es();
        // Get how many components the coordinate vector needs for the dimensions only
        let tex_coord_size = match dim {
            crate::ImageDimension::D1 => 1,
            crate::ImageDimension::D2 => 2,
            crate::ImageDimension::D3 => 3,
            crate::ImageDimension::Cube => 2,
        };
        // Calculate the true size of the coordinate vector by adding 1 for arrayed images
        // and another 1 if we need to workaround 1D images by making them 2D
        tex_coord_size + tex_1d_hack as u8 + arrayed as u8
    }

    /// Helper method to write the coordinate vector for image operations
    fn write_texture_coord(
        &mut self,
        ctx: &back::FunctionCtx,
        vector_size: u8,
        coordinate: Handle<crate::Expression>,
        array_index: Option<Handle<crate::Expression>>,
        // Emulate 1D images as 2D for profiles that don't support it (glsl es)
        tex_1d_hack: bool,
    ) -> Result<(), Error> {
        match array_index {
            // If the image needs an array indice we need to add it to the end of our
            // coordinate vector, to do so we will use the `ivec(ivec, scalar)`
            // constructor notation (NOTE: the inner `ivec` can also be a scalar, this
            // is important for 1D arrayed images).
            Some(layer_expr) => {
                write!(self.out, "ivec{}(", vector_size)?;
                self.write_expr(coordinate, ctx)?;
                write!(self.out, ", ")?;
                // If we are replacing sampler1D with sampler2D we also need
                // to add another zero to the coordinates vector for the y component
                if tex_1d_hack {
                    write!(self.out, "0, ")?;
                }
                self.write_expr(layer_expr, ctx)?;
                write!(self.out, ")")?;
            }
            // Otherwise write just the expression (and the 1D hack if needed)
            None => {
                if tex_1d_hack {
                    write!(self.out, "ivec2(")?;
                }
                self.write_expr(coordinate, ctx)?;
                if tex_1d_hack {
                    write!(self.out, ", 0)")?;
                }
            }
        }

        Ok(())
    }

    /// Helper method to write the `ImageStore` statement
    fn write_image_store(
        &mut self,
        ctx: &back::FunctionCtx,
        image: Handle<crate::Expression>,
        coordinate: Handle<crate::Expression>,
        array_index: Option<Handle<crate::Expression>>,
        value: Handle<crate::Expression>,
    ) -> Result<(), Error> {
        use crate::ImageDimension as IDim;

        // NOTE: openGL requires that `imageStore`s have no effets when the texel is invalid
        // so we don't need to generate bounds checks (OpenGL 4.2 Core §3.9.20)

        // This will only panic if the module is invalid
        let dim = match *ctx.info[image].ty.inner_with(&self.module.types) {
            TypeInner::Image { dim, .. } => dim,
            _ => unreachable!(),
        };

        // Begin our call to `imageStore`
        write!(self.out, "imageStore(")?;
        self.write_expr(image, ctx)?;
        // Separate the image argument from the coordinates
        write!(self.out, ", ")?;

        // openGL es doesn't have 1D images so we need workaround it
        let tex_1d_hack = dim == IDim::D1 && self.options.version.is_es();
        // Write the coordinate vector
        self.write_texture_coord(
            ctx,
            // Get the size of the coordinate vector
            self.get_coordinate_vector_size(dim, array_index.is_some()),
            coordinate,
            array_index,
            tex_1d_hack,
        )?;

        // Separate the coordinate from the value to write and write the expression
        // of the value to write.
        write!(self.out, ", ")?;
        self.write_expr(value, ctx)?;
        // End the call to `imageStore` and the statement.
        writeln!(self.out, ");")?;

        Ok(())
    }

    /// Helper method for writing an `ImageLoad` expression.
    #[allow(clippy::too_many_arguments)]
    fn write_image_load(
        &mut self,
        handle: Handle<crate::Expression>,
        ctx: &back::FunctionCtx,
        image: Handle<crate::Expression>,
        coordinate: Handle<crate::Expression>,
        array_index: Option<Handle<crate::Expression>>,
        sample: Option<Handle<crate::Expression>>,
        level: Option<Handle<crate::Expression>>,
    ) -> Result<(), Error> {
        use crate::ImageDimension as IDim;

        // `ImageLoad` is a bit complicated.
        // There are two functions one for sampled
        // images another for storage images, the former uses `texelFetch` and the
        // latter uses `imageLoad`.
        //
        // Furthermore we have `level` which is always `Some` for sampled images
        // and `None` for storage images, so we end up with two functions:
        // - `texelFetch(image, coordinate, level)` for sampled images
        // - `imageLoad(image, coordinate)` for storage images
        //
        // Finally we also have to consider bounds checking, for storage images
        // this is easy since openGL requires that invalid texels always return
        // 0, for sampled images we need to either verify that all arguments are
        // in bounds (`ReadZeroSkipWrite`) or make them a valid texel (`Restrict`).

        // This will only panic if the module is invalid
        let (dim, class) = match *ctx.info[image].ty.inner_with(&self.module.types) {
            TypeInner::Image {
                dim,
                arrayed: _,
                class,
            } => (dim, class),
            _ => unreachable!(),
        };

        // Get the name of the function to be used for the load operation
        // and the policy to be used with it.
        let (fun_name, policy) = match class {
            // Sampled images inherit the policy from the user passed policies
            crate::ImageClass::Sampled { .. } => ("texelFetch", self.policies.image),
            crate::ImageClass::Storage { .. } => {
                // OpenGL 4.2 Core §3.9.20 defines that out of bounds texels in `imageLoad`s
                // always return zero values so we don't need to generate bounds checks
                ("imageLoad", proc::BoundsCheckPolicy::Unchecked)
            }
            // TODO: Is there even a function for this?
            crate::ImageClass::Depth { multi: _ } => {
                return Err(Error::Custom(
                    "WGSL `textureLoad` from depth textures is not supported in GLSL".to_string(),
                ))
            }
        };

        // openGL es doesn't have 1D images so we need workaround it
        let tex_1d_hack = dim == IDim::D1 && self.options.version.is_es();
        // Get the size of the coordinate vector
        let vector_size = self.get_coordinate_vector_size(dim, array_index.is_some());

        if let proc::BoundsCheckPolicy::ReadZeroSkipWrite = policy {
            // To write the bounds checks for `ReadZeroSkipWrite` we will use a
            // ternary operator since we are in the middle of an expression and
            // need to return a value.
            //
            // NOTE: glsl does short circuit when evaluating logical
            // expressions so we can be sure that after we test a
            // condition it will be true for the next ones

            // Write parantheses around the ternary operator to prevent problems with
            // expressions emitted before or after it having more precedence
            write!(self.out, "(",)?;

            // The lod check needs to precede the size check since we need
            // to use the lod to get the size of the image at that level.
            if let Some(level_expr) = level {
                self.write_expr(level_expr, ctx)?;
                write!(self.out, " < textureQueryLevels(",)?;
                self.write_expr(image, ctx)?;
                // Chain the next check
                write!(self.out, ") && ")?;
            }

            // Check that the sample arguments doesn't exceed the number of samples
            if let Some(sample_expr) = sample {
                self.write_expr(sample_expr, ctx)?;
                write!(self.out, " < textureSamples(",)?;
                self.write_expr(image, ctx)?;
                // Chain the next check
                write!(self.out, ") && ")?;
            }

            // We now need to write the size checks for the coordinates and array index
            // first we write the comparation function in case the image is 1D non arrayed
            // (and no 1D to 2D hack was needed) we are comparing scalars so the less than
            // operator will suffice, but otherwise we'll be comparing two vectors so we'll
            // need to use the `lessThan` function but it returns a vector of booleans (one
            // for each comparison) so we need to fold it all in one scalar boolean, since
            // we want all comparisons to pass we use the `all` function which will only
            // return `true` if all the elements of the boolean vector are also `true`.
            //
            // So we'll end with one of the following forms
            // - `coord < textureSize(image, lod)` for 1D images
            // - `all(lessThan(coord, textureSize(image, lod)))` for normal images
            // - `all(lessThan(ivec(coord, array_index), textureSize(image, lod)))`
            //    for arrayed images
            // - `all(lessThan(coord, textureSize(image)))` for multi sampled images

            if vector_size != 1 {
                write!(self.out, "all(lessThan(")?;
            }

            // Write the coordinate vector
            self.write_texture_coord(ctx, vector_size, coordinate, array_index, tex_1d_hack)?;

            if vector_size != 1 {
                // If we used the `lessThan` function we need to separate the
                // coordinates from the image size.
                write!(self.out, ", ")?;
            } else {
                // If we didn't use it (ie. 1D images) we perform the comparsion
                // using the less than operator.
                write!(self.out, " < ")?;
            }

            // Call `textureSize` to get our image size
            write!(self.out, "textureSize(")?;
            self.write_expr(image, ctx)?;
            // `textureSize` uses the lod as a second argument for mipmapped images
            if let Some(level_expr) = level {
                // Separate the image from the lod
                write!(self.out, ", ")?;
                self.write_expr(level_expr, ctx)?;
            }
            // Close the `textureSize` call
            write!(self.out, ")")?;

            if vector_size != 1 {
                // Close the `all` and `lessThan` calls
                write!(self.out, "))")?;
            }

            // Finally end the condition part of the ternary operator
            write!(self.out, " ? ")?;
        }

        // Begin the call to the function used to load the texel
        write!(self.out, "{}(", fun_name)?;
        self.write_expr(image, ctx)?;
        write!(self.out, ", ")?;

        // If we are using `Restrict` bounds checking we need to pass valid texel
        // coordinates, to do so we use the `clamp` function to get a value between
        // 0 and the image size - 1 (indexing begins at 0)
        if let proc::BoundsCheckPolicy::Restrict = policy {
            write!(self.out, "clamp(")?;
        }

        // Write the coordinate vector
        self.write_texture_coord(ctx, vector_size, coordinate, array_index, tex_1d_hack)?;

        // If we are using `Restrict` bounds checking we need to write the rest of the
        // clamp we initiated before writing the coordinates.
        if let proc::BoundsCheckPolicy::Restrict = policy {
            // Write the min value 0
            if vector_size == 1 {
                write!(self.out, ", 0")?;
            } else {
                write!(self.out, ", ivec{}(0)", vector_size)?;
            }
            // Start the `textureSize` call to use as the max value.
            write!(self.out, ", textureSize(")?;
            self.write_expr(image, ctx)?;
            // If the image is mipmapped we need to add the lod argument to the
            // `textureSize` call, but this needs to be the clamped lod, this should
            // have been generated earlier and put in a local.
            if class.is_mipmapped() {
                write!(
                    self.out,
                    ", {}{}{}",
                    back::BAKE_PREFIX,
                    handle.index(),
                    CLAMPED_LOD_SUFFIX
                )?;
            }
            // Close the `textureSize` call
            write!(self.out, ")")?;

            // Subtract 1 from the `textureSize` call since the coordinates are zero based.
            if vector_size == 1 {
                write!(self.out, " - 1")?;
            } else {
                write!(self.out, " - ivec{}(1)", vector_size)?;
            }

            // Close the `clamp` call
            write!(self.out, ")")?;

            // Add the clamped lod (if present) as the second argument to the
            // image load function.
            if level.is_some() {
                write!(
                    self.out,
                    ", {}{}{}",
                    back::BAKE_PREFIX,
                    handle.index(),
                    CLAMPED_LOD_SUFFIX
                )?;
            }

            // If a sample argument is needed we need to clamp it between 0 and
            // the number of samples the image has.
            if let Some(sample_expr) = sample {
                write!(self.out, ", clamp(")?;
                self.write_expr(sample_expr, ctx)?;
                // Set the min value to 0 and start the call to `textureSamples`
                write!(self.out, ", 0, textureSamples(")?;
                self.write_expr(image, ctx)?;
                // Close the `textureSamples` call, subtract 1 from it since the sample
                // argument is zero based, and close the `clamp` call
                writeln!(self.out, ") - 1)")?;
            }
        } else if let Some(sample_or_level) = sample.or(level) {
            // If no bounds checking is need just add the sample or level argument
            // after the coordinates
            write!(self.out, ", ")?;
            self.write_expr(sample_or_level, ctx)?;
        }

        // Close the image load function.
        write!(self.out, ")")?;

        // If we were using the `ReadZeroSkipWrite` policy we need to end the first branch
        // (which is taken if the condition is `true`) with a colon (`:`) and write the
        // second branch which is just a 0 value.
        if let proc::BoundsCheckPolicy::ReadZeroSkipWrite = policy {
            // Get the kind of the output value.
            let kind = match class {
                // Only sampled images can reach here since storage images
                // don't need bounds checks and depth images aren't implmented
                crate::ImageClass::Sampled { kind, .. } => kind,
                _ => unreachable!(),
            };

            // End the first branch
            write!(self.out, " : ")?;
            // Write the 0 value
            write!(self.out, "{}vec4(", glsl_scalar(kind, 4)?.prefix,)?;
            self.write_zero_init_scalar(kind)?;
            // Close the zero value constructor
            write!(self.out, ")")?;
            // Close the parantheses surrounding our ternary
            write!(self.out, ")")?;
        }

        Ok(())
    }

    fn write_named_expr(
        &mut self,
        handle: Handle<crate::Expression>,
        name: String,
        ctx: &back::FunctionCtx,
    ) -> BackendResult {
        match ctx.info[handle].ty {
            proc::TypeResolution::Handle(ty_handle) => match self.module.types[ty_handle].inner {
                TypeInner::Struct { .. } => {
                    let ty_name = &self.names[&NameKey::Type(ty_handle)];
                    write!(self.out, "{}", ty_name)?;
                }
                _ => {
                    self.write_type(ty_handle)?;
                }
            },
            proc::TypeResolution::Value(ref inner) => {
                self.write_value_type(inner)?;
            }
        }

        let base_ty_res = &ctx.info[handle].ty;
        let resolved = base_ty_res.inner_with(&self.module.types);

        write!(self.out, " {}", name)?;
        if let TypeInner::Array { base, size, .. } = *resolved {
            self.write_array_size(base, size)?;
        }
        write!(self.out, " = ")?;
        self.write_expr(handle, ctx)?;
        writeln!(self.out, ";")?;
        self.named_expressions.insert(handle, name);

        Ok(())
    }

    /// Helper function that write string with default zero initialization for supported types
    fn write_zero_init_value(&mut self, ty: Handle<crate::Type>) -> BackendResult {
        let inner = &self.module.types[ty].inner;
        match *inner {
            TypeInner::Scalar { kind, .. } => {
                self.write_zero_init_scalar(kind)?;
            }
            TypeInner::Vector { kind, .. } => {
                self.write_value_type(inner)?;
                write!(self.out, "(")?;
                self.write_zero_init_scalar(kind)?;
                write!(self.out, ")")?;
            }
            TypeInner::Matrix { .. } => {
                self.write_value_type(inner)?;
                write!(self.out, "(")?;
                self.write_zero_init_scalar(crate::ScalarKind::Float)?;
                write!(self.out, ")")?;
            }
            TypeInner::Array { base, size, .. } => {
                let count = match size
                    .to_indexable_length(self.module)
                    .expect("Bad array size")
                {
                    proc::IndexableLength::Known(count) => count,
                    proc::IndexableLength::Dynamic => return Ok(()),
                };
                self.write_type(base)?;
                self.write_array_size(base, size)?;
                write!(self.out, "(")?;
                for _ in 1..count {
                    self.write_zero_init_value(base)?;
                    write!(self.out, ", ")?;
                }
                // write last parameter without comma and space
                self.write_zero_init_value(base)?;
                write!(self.out, ")")?;
            }
            TypeInner::Struct { ref members, .. } => {
                let name = &self.names[&NameKey::Type(ty)];
                write!(self.out, "{}(", name)?;
                for (i, member) in members.iter().enumerate() {
                    self.write_zero_init_value(member.ty)?;
                    if i != members.len().saturating_sub(1) {
                        write!(self.out, ", ")?;
                    }
                }
                write!(self.out, ")")?;
            }
            _ => {} // TODO:
        }

        Ok(())
    }

    /// Helper function that write string with zero initialization for scalar
    fn write_zero_init_scalar(&mut self, kind: crate::ScalarKind) -> BackendResult {
        match kind {
            crate::ScalarKind::Bool => write!(self.out, "false")?,
            crate::ScalarKind::Uint => write!(self.out, "0u")?,
            crate::ScalarKind::Float => write!(self.out, "0.0")?,
            crate::ScalarKind::Sint => write!(self.out, "0")?,
        }

        Ok(())
    }

    /// Helper function that return the glsl storage access string of [`StorageAccess`](crate::StorageAccess)
    ///
    /// glsl allows adding both `readonly` and `writeonly` but this means that
    /// they can only be used to query information about the resource which isn't what
    /// we want here so when storage access is both `LOAD` and `STORE` add no modifiers
    fn write_storage_access(&mut self, storage_access: crate::StorageAccess) -> BackendResult {
        if !storage_access.contains(crate::StorageAccess::STORE) {
            write!(self.out, "readonly ")?;
        }
        if !storage_access.contains(crate::StorageAccess::LOAD) {
            write!(self.out, "writeonly ")?;
        }
        Ok(())
    }

    /// Helper method used to produce the reflection info that's returned to the user
    fn collect_reflection_info(&self) -> Result<ReflectionInfo, Error> {
        use std::collections::hash_map::Entry;
        let info = self.info.get_entry_point(self.entry_point_idx as usize);
        let mut texture_mapping = crate::FastHashMap::default();
        let mut uniforms = crate::FastHashMap::default();

        for sampling in info.sampling_set.iter() {
            let tex_name = self.reflection_names_globals[&sampling.image].clone();

            match texture_mapping.entry(tex_name) {
                Entry::Vacant(v) => {
                    v.insert(TextureMapping {
                        texture: sampling.image,
                        sampler: Some(sampling.sampler),
                    });
                }
                Entry::Occupied(e) => {
                    if e.get().sampler != Some(sampling.sampler) {
                        log::error!("Conflicting samplers for {}", e.key());
                        return Err(Error::ImageMultipleSamplers);
                    }
                }
            }
        }

        for (handle, var) in self.module.global_variables.iter() {
            if info[handle].is_empty() {
                continue;
            }
            match self.module.types[var.ty].inner {
                crate::TypeInner::Struct { .. } => match var.space {
                    crate::AddressSpace::Uniform | crate::AddressSpace::Storage { .. } => {
                        let name = self.reflection_names_globals[&handle].clone();
                        uniforms.insert(handle, name);
                    }
                    _ => (),
                },
                crate::TypeInner::Image { .. } => {
                    let tex_name = self.reflection_names_globals[&handle].clone();
                    match texture_mapping.entry(tex_name) {
                        Entry::Vacant(v) => {
                            v.insert(TextureMapping {
                                texture: handle,
                                sampler: None,
                            });
                        }
                        Entry::Occupied(_) => {
                            // already used with a sampler, do nothing
                        }
                    }
                }
                _ => {}
            }
        }

        Ok(ReflectionInfo {
            texture_mapping,
            uniforms,
        })
    }
}

/// Structure returned by [`glsl_scalar`](glsl_scalar)
///
/// It contains both a prefix used in other types and the full type name
struct ScalarString<'a> {
    /// The prefix used to compose other types
    prefix: &'a str,
    /// The name of the scalar type
    full: &'a str,
}

/// Helper function that returns scalar related strings
///
/// Check [`ScalarString`](ScalarString) for the information provided
///
/// # Errors
/// If a [`Float`](crate::ScalarKind::Float) with an width that isn't 4 or 8
const fn glsl_scalar(
    kind: crate::ScalarKind,
    width: crate::Bytes,
) -> Result<ScalarString<'static>, Error> {
    use crate::ScalarKind as Sk;

    Ok(match kind {
        Sk::Sint => ScalarString {
            prefix: "i",
            full: "int",
        },
        Sk::Uint => ScalarString {
            prefix: "u",
            full: "uint",
        },
        Sk::Float => match width {
            4 => ScalarString {
                prefix: "",
                full: "float",
            },
            8 => ScalarString {
                prefix: "d",
                full: "double",
            },
            _ => return Err(Error::UnsupportedScalar(kind, width)),
        },
        Sk::Bool => ScalarString {
            prefix: "b",
            full: "bool",
        },
    })
}

/// Helper function that returns the glsl variable name for a builtin
const fn glsl_built_in(
    built_in: crate::BuiltIn,
    output: bool,
    targetting_webgl: bool,
) -> &'static str {
    use crate::BuiltIn as Bi;

    match built_in {
        Bi::Position { .. } => {
            if output {
                "gl_Position"
            } else {
                "gl_FragCoord"
            }
        }
        Bi::ViewIndex if targetting_webgl => "int(gl_ViewID_OVR)",
        Bi::ViewIndex => "gl_ViewIndex",
        // vertex
        Bi::BaseInstance => "uint(gl_BaseInstance)",
        Bi::BaseVertex => "uint(gl_BaseVertex)",
        Bi::ClipDistance => "gl_ClipDistance",
        Bi::CullDistance => "gl_CullDistance",
        Bi::InstanceIndex => "uint(gl_InstanceID)",
        Bi::PointSize => "gl_PointSize",
        Bi::VertexIndex => "uint(gl_VertexID)",
        // fragment
        Bi::FragDepth => "gl_FragDepth",
        Bi::FrontFacing => "gl_FrontFacing",
        Bi::PrimitiveIndex => "uint(gl_PrimitiveID)",
        Bi::SampleIndex => "gl_SampleID",
        Bi::SampleMask => {
            if output {
                "gl_SampleMask"
            } else {
                "gl_SampleMaskIn"
            }
        }
        // compute
        Bi::GlobalInvocationId => "gl_GlobalInvocationID",
        Bi::LocalInvocationId => "gl_LocalInvocationID",
        Bi::LocalInvocationIndex => "gl_LocalInvocationIndex",
        Bi::WorkGroupId => "gl_WorkGroupID",
        Bi::WorkGroupSize => "gl_WorkGroupSize",
        Bi::NumWorkGroups => "gl_NumWorkGroups",
    }
}

/// Helper function that returns the string corresponding to the address space
const fn glsl_storage_qualifier(space: crate::AddressSpace) -> Option<&'static str> {
    use crate::AddressSpace as As;

    match space {
        As::Function => None,
        As::Private => None,
        As::Storage { .. } => Some("buffer"),
        As::Uniform => Some("uniform"),
        As::Handle => Some("uniform"),
        As::WorkGroup => Some("shared"),
        As::PushConstant => Some("uniform"),
    }
}

/// Helper function that returns the string corresponding to the glsl interpolation qualifier
const fn glsl_interpolation(interpolation: crate::Interpolation) -> &'static str {
    use crate::Interpolation as I;

    match interpolation {
        I::Perspective => "smooth",
        I::Linear => "noperspective",
        I::Flat => "flat",
    }
}

/// Return the GLSL auxiliary qualifier for the given sampling value.
const fn glsl_sampling(sampling: crate::Sampling) -> Option<&'static str> {
    use crate::Sampling as S;

    match sampling {
        S::Center => None,
        S::Centroid => Some("centroid"),
        S::Sample => Some("sample"),
    }
}

/// Helper function that returns the glsl dimension string of [`ImageDimension`](crate::ImageDimension)
const fn glsl_dimension(dim: crate::ImageDimension) -> &'static str {
    use crate::ImageDimension as IDim;

    match dim {
        IDim::D1 => "1D",
        IDim::D2 => "2D",
        IDim::D3 => "3D",
        IDim::Cube => "Cube",
    }
}

/// Helper function that returns the glsl storage format string of [`StorageFormat`](crate::StorageFormat)
const fn glsl_storage_format(format: crate::StorageFormat) -> &'static str {
    use crate::StorageFormat as Sf;

    match format {
        Sf::R8Unorm => "r8",
        Sf::R8Snorm => "r8_snorm",
        Sf::R8Uint => "r8ui",
        Sf::R8Sint => "r8i",
        Sf::R16Uint => "r16ui",
        Sf::R16Sint => "r16i",
        Sf::R16Float => "r16f",
        Sf::Rg8Unorm => "rg8",
        Sf::Rg8Snorm => "rg8_snorm",
        Sf::Rg8Uint => "rg8ui",
        Sf::Rg8Sint => "rg8i",
        Sf::R32Uint => "r32ui",
        Sf::R32Sint => "r32i",
        Sf::R32Float => "r32f",
        Sf::Rg16Uint => "rg16ui",
        Sf::Rg16Sint => "rg16i",
        Sf::Rg16Float => "rg16f",
        Sf::Rgba8Unorm => "rgba8",
        Sf::Rgba8Snorm => "rgba8_snorm",
        Sf::Rgba8Uint => "rgba8ui",
        Sf::Rgba8Sint => "rgba8i",
        Sf::Rgb10a2Unorm => "rgb10_a2ui",
        Sf::Rg11b10Float => "r11f_g11f_b10f",
        Sf::Rg32Uint => "rg32ui",
        Sf::Rg32Sint => "rg32i",
        Sf::Rg32Float => "rg32f",
        Sf::Rgba16Uint => "rgba16ui",
        Sf::Rgba16Sint => "rgba16i",
        Sf::Rgba16Float => "rgba16f",
        Sf::Rgba32Uint => "rgba32ui",
        Sf::Rgba32Sint => "rgba32i",
        Sf::Rgba32Float => "rgba32f",
    }
}

fn is_value_init_supported(module: &crate::Module, ty: Handle<crate::Type>) -> bool {
    match module.types[ty].inner {
        TypeInner::Scalar { .. } | TypeInner::Vector { .. } | TypeInner::Matrix { .. } => true,
        TypeInner::Array { base, size, .. } => {
            size != crate::ArraySize::Dynamic && is_value_init_supported(module, base)
        }
        TypeInner::Struct { ref members, .. } => members
            .iter()
            .all(|member| is_value_init_supported(module, member.ty)),
        _ => false,
    }
}


================================================
FILE: lib/naga/src/back/hlsl/conv.rs
================================================
use std::borrow::Cow;

use crate::proc::Alignment;

use super::Error;

impl crate::ScalarKind {
    pub(super) fn to_hlsl_cast(self) -> &'static str {
        match self {
            Self::Float => "asfloat",
            Self::Sint => "asint",
            Self::Uint => "asuint",
            Self::Bool => unreachable!(),
        }
    }

    /// Helper function that returns scalar related strings
    ///
    /// <https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-scalar>
    pub(super) const fn to_hlsl_str(self, width: crate::Bytes) -> Result<&'static str, Error> {
        match self {
            Self::Sint => Ok("int"),
            Self::Uint => Ok("uint"),
            Self::Float => match width {
                2 => Ok("half"),
                4 => Ok("float"),
                8 => Ok("double"),
                _ => Err(Error::UnsupportedScalar(self, width)),
            },
            Self::Bool => Ok("bool"),
        }
    }
}

impl crate::TypeInner {
    pub(super) const fn is_matrix(&self) -> bool {
        match *self {
            Self::Matrix { .. } => true,
            _ => false,
        }
    }

    pub(super) fn try_size_hlsl(
        &self,
        types: &crate::UniqueArena<crate::Type>,
        constants: &crate::Arena<crate::Constant>,
    ) -> Result<u32, crate::arena::BadHandle> {
        Ok(match *self {
            Self::Matrix {
                columns,
                rows,
                width,
            } => {
                let stride = Alignment::from(rows) * width as u32;
                let last_row_size = rows as u32 * width as u32;
                ((columns as u32 - 1) * stride) + last_row_size
            }
            Self::Array { base, size, stride } => {
                let count = match size {
                    crate::ArraySize::Constant(handle) => {
                        let constant = constants.try_get(handle)?;
                        constant.to_array_length().unwrap_or(1)
                    }
                    // A dynamically-sized array has to have at least one element
                    crate::ArraySize::Dynamic => 1,
                };
                let last_el_size = types[base].inner.try_size_hlsl(types, constants)?;
                ((count - 1) * stride) + last_el_size
            }
            _ => self.try_size(constants)?,
        })
    }

    /// Used to generate the name of the wrapped type constructor
    pub(super) fn hlsl_type_id<'a>(
        &self,
        base: crate::Handle<crate::Type>,
        types: &crate::UniqueArena<crate::Type>,
        constants: &crate::Arena<crate::Constant>,
        names: &'a crate::FastHashMap<crate::proc::NameKey, String>,
    ) -> Result<Cow<'a, str>, Error> {
        Ok(match types[base].inner {
            crate::TypeInner::Scalar { kind, width } => Cow::Borrowed(kind.to_hlsl_str(width)?),
            crate::TypeInner::Vector { size, kind, width } => Cow::Owned(format!(
                "{}{}",
                kind.to_hlsl_str(width)?,
                crate::back::vector_size_str(size)
            )),
            crate::TypeInner::Matrix {
                columns,
                rows,
                width,
            } => Cow::Owned(format!(
                "{}{}x{}",
                crate::ScalarKind::Float.to_hlsl_str(width)?,
                crate::back::vector_size_str(columns),
                crate::back::vector_size_str(rows),
            )),
            crate::TypeInner::Array {
                base,
                size: crate::ArraySize::Constant(size),
                ..
            } => Cow::Owned(format!(
                "array{}_{}_",
                constants[size].to_array_length().unwrap(),
                self.hlsl_type_id(base, types, constants, names)?
            )),
            crate::TypeInner::Struct { .. } => {
                Cow::Borrowed(&names[&crate::proc::NameKey::Type(base)])
            }
            _ => unreachable!(),
        })
    }
}

impl crate::StorageFormat {
    pub(super) const fn to_hlsl_str(self) -> &'static str {
        match self {
            Self::R16Float => "float",
            Self::R8Unorm => "unorm float",
            Self::R8Snorm => "snorm float",
            Self::R8Uint | Self::R16Uint => "uint",
            Self::R8Sint | Self::R16Sint => "int",

            Self::Rg16Float => "float2",
            Self::Rg8Unorm => "unorm float2",
            Self::Rg8Snorm => "snorm float2",

            Self::Rg8Sint | Self::Rg16Sint => "int2",
            Self::Rg8Uint | Self::Rg16Uint => "uint2",

            Self::Rg11b10Float => "float3",

            Self::Rgba16Float | Self::R32Float | Self::Rg32Float | Self::Rgba32Float => "float4",
            Self::Rgba8Unorm | Self::Rgb10a2Unorm => "unorm float4",
            Self::Rgba8Snorm => "snorm float4",

            Self::Rgba8Uint
            | Self::Rgba16Uint
            | Self::R32Uint
            | Self::Rg32Uint
            | Self::Rgba32Uint => "uint4",
            Self::Rgba8Sint
            | Self::Rgba16Sint
            | Self::R32Sint
            | Self::Rg32Sint
            | Self::Rgba32Sint => "int4",
        }
    }
}

impl crate::BuiltIn {
    pub(super) fn to_hlsl_str(self) -> Result<&'static str, Error> {
        Ok(match self {
            Self::Position { .. } => "SV_Position",
            // vertex
            Self::ClipDistance => "SV_ClipDistance",
            Self::CullDistance => "SV_CullDistance",
            Self::InstanceIndex => "SV_InstanceID",
            // based on this page https://docs.microsoft.com/en-us/windows/uwp/gaming/glsl-to-hlsl-reference#comparing-opengl-es-20-with-direct3d-11
            // No meaning unless you target Direct3D 9
            Self::PointSize => "PSIZE",
            Self::VertexIndex => "SV_VertexID",
            // fragment
            Self::FragDepth => "SV_Depth",
            Self::FrontFacing => "SV_IsFrontFace",
            Self::PrimitiveIndex => "SV_PrimitiveID",
            Self::SampleIndex => "SV_SampleIndex",
            Self::SampleMask => "SV_Coverage",
            // compute
            Self::GlobalInvocationId => "SV_DispatchThreadID",
            Self::LocalInvocationId => "SV_GroupThreadID",
            Self::LocalInvocationIndex => "SV_GroupIndex",
            Self::WorkGroupId => "SV_GroupID",
            // The specific semantic we use here doesn't matter, because references
            // to this field will get replaced with references to `SPECIAL_CBUF_VAR`
            // in `Writer::write_expr`.
            Self::NumWorkGroups => "SV_GroupID",
            Self::BaseInstance | Self::BaseVertex | Self::WorkGroupSize => {
                return Err(Error::Unimplemented(format!("builtin {:?}", self)))
            }
            Self::ViewIndex => {
                return Err(Error::Custom(format!("Unsupported builtin {:?}", self)))
            }
        })
    }
}

impl crate::Interpolation {
    /// Return the string corresponding to the HLSL interpolation qualifier.
    pub(super) const fn to_hlsl_str(self) -> Option<&'static str> {
        match self {
            // Would be "linear", but it's the default interpolation in SM4 and up
            // https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-struct#interpolation-modifiers-introduced-in-shader-model-4
            Self::Perspective => None,
            Self::Linear => Some("noperspective"),
            Self::Flat => Some("nointerpolation"),
        }
    }
}

impl crate::Sampling {
    /// Return the HLSL auxiliary qualifier for the given sampling value.
    pub(super) const fn to_hlsl_str(self) -> Option<&'static str> {
        match self {
            Self::Center => None,
            Self::Centroid => Some("centroid"),
            Self::Sample => Some("sample"),
        }
    }
}

impl crate::AtomicFunction {
    /// Return the HLSL suffix for the `InterlockedXxx` method.
    pub(super) const fn to_hlsl_suffix(self) -> &'static str {
        match self {
            Self::Add | Self::Subtract => "Add",
            Self::And => "And",
            Self::InclusiveOr => "Or",
            Self::ExclusiveOr => "Xor",
            Self::Min => "Min",
            Self::Max => "Max",
            Self::Exchange { compare: None } => "Exchange",
            Self::Exchange { .. } => "", //TODO
        }
    }
}


================================================
FILE: lib/naga/src/back/hlsl/help.rs
================================================
/*!
Helpers for the hlsl backend

Important note about `Expression::ImageQuery`/`Expression::ArrayLength` and hlsl backend:

Due to implementation of `GetDimensions` function in hlsl (<https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-to-getdimensions>)
backend can't work with it as an expression.
Instead, it generates a unique wrapped function per `Expression::ImageQuery`, based on texture info and query function.
See `WrappedImageQuery` struct that represents a unique function and will be generated before writing all statements and expressions.
This allowed to works with `Expression::ImageQuery` as expression and write wrapped function.

For example:
```wgsl
let dim_1d = textureDimensions(image_1d);
```

```hlsl
int NagaDimensions1D(Texture1D<float4>)
{
   uint4 ret;
   image_1d.GetDimensions(ret.x);
   return ret.x;
}

int dim_1d = NagaDimensions1D(image_1d);
```
*/

use super::{super::FunctionCtx, BackendResult};
use crate::{arena::Handle, proc::NameKey};
use std::fmt::Write;

#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
pub(super) struct WrappedArrayLength {
    pub(super) writable: bool,
}

#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
pub(super) struct WrappedImageQuery {
    pub(super) dim: crate::ImageDimension,
    pub(super) arrayed: bool,
    pub(super) class: crate::ImageClass,
    pub(super) query: ImageQuery,
}

#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
pub(super) struct WrappedConstructor {
    pub(super) ty: Handle<crate::Type>,
}

#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
pub(super) struct WrappedStructMatrixAccess {
    pub(super) ty: Handle<crate::Type>,
    pub(super) index: u32,
}

#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
pub(super) struct WrappedMatCx2 {
    pub(super) columns: crate::VectorSize,
}

/// HLSL backend requires its own `ImageQuery` enum.
///
/// It is used inside `WrappedImageQuery` and should be unique per ImageQuery function.
/// IR version can't be unique per function, because it's store mipmap level as an expression.
///
/// For example:
/// ```wgsl
/// let dim_cube_array_lod = textureDimensions(image_cube_array, 1);
/// let dim_cube_array_lod2 = textureDimensions(image_cube_array, 1);
/// ```
///
/// ```ir
/// ImageQuery {
///  image: [1],
///  query: Size {
///      level: Some(
///          [1],
///      ),
///  },
/// },
/// ImageQuery {
///  image: [1],
///  query: Size {
///      level: Some(
///          [2],
///      ),
///  },
/// },
/// ```
///
/// HLSL should generate only 1 function for this case.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
pub(super) enum ImageQuery {
    Size,
    SizeLevel,
    NumLevels,
    NumLayers,
    NumSamples,
}

impl From<crate::ImageQuery> for ImageQuery {
    fn from(q: crate::ImageQuery) -> Self {
        use crate::ImageQuery as Iq;
        match q {
            Iq::Size { level: Some(_) } => ImageQuery::SizeLevel,
            Iq::Size { level: None } => ImageQuery::Size,
            Iq::NumLevels => ImageQuery::NumLevels,
            Iq::NumLayers => ImageQuery::NumLayers,
            Iq::NumSamples => ImageQuery::NumSamples,
        }
    }
}

impl<'a, W: Write> super::Writer<'a, W> {
    pub(super) fn write_image_type(
        &mut self,
        dim: crate::ImageDimension,
        arrayed: bool,
        class: crate::ImageClass,
    ) -> BackendResult {
        let access_str = match class {
            crate::ImageClass::Storage { .. } => "RW",
            _ => "",
        };
        let dim_str = dim.to_hlsl_str();
        let arrayed_str = if arrayed { "Array" } else { "" };
        write!(self.out, "{}Texture{}{}", access_str, dim_str, arrayed_str)?;
        match class {
            crate::ImageClass::Depth { multi } => {
                let multi_str = if multi { "MS" } else { "" };
                write!(self.out, "{}<float>", multi_str)?
            }
            crate::ImageClass::Sampled { kind, multi } => {
                let multi_str = if multi { "MS" } else { "" };
                let scalar_kind_str = kind.to_hlsl_str(4)?;
                write!(self.out, "{}<{}4>", multi_str, scalar_kind_str)?
            }
            crate::ImageClass::Storage { format, .. } => {
                let storage_format_str = format.to_hlsl_str();
                write!(self.out, "<{}>", storage_format_str)?
            }
        }
        Ok(())
    }

    pub(super) fn write_wrapped_array_length_function_name(
        &mut self,
        query: WrappedArrayLength,
    ) -> BackendResult {
        let access_str = if query.writable { "RW" } else { "" };
        write!(self.out, "NagaBufferLength{}", access_str,)?;

        Ok(())
    }

    /// Helper function that write wrapped function for `Expression::ArrayLength`
    ///
    /// <https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/sm5-object-rwbyteaddressbuffer-getdimensions>
    pub(super) fn write_wrapped_array_length_function(
        &mut self,
        module: &crate::Module,
        wal: WrappedArrayLength,
        expr_handle: Handle<crate::Expression>,
        func_ctx: &FunctionCtx,
    ) -> BackendResult {
        use crate::back::INDENT;

        const ARGUMENT_VARIABLE_NAME: &str = "buffer";
        const RETURN_VARIABLE_NAME: &str = "ret";

        // Write function return type and name
        let ret_ty = func_ctx.info[expr_handle].ty.inner_with(&module.types);
        self.write_value_type(module, ret_ty)?;
        write!(self.out, " ")?;
        self.write_wrapped_array_length_function_name(wal)?;

        // Write function parameters
        write!(self.out, "(")?;
        let access_str = if wal.writable { "RW" } else { "" };
        writeln!(
            self.out,
            "{}ByteAddressBuffer {})",
            access_str, ARGUMENT_VARIABLE_NAME
        )?;
        // Write function body
        writeln!(self.out, "{{")?;

        // Write `GetDimensions` function.
        writeln!(self.out, "{}uint {};", INDENT, RETURN_VARIABLE_NAME)?;
        writeln!(
            self.out,
            "{}{}.GetDimensions({});",
            INDENT, ARGUMENT_VARIABLE_NAME, RETURN_VARIABLE_NAME
        )?;

        // Write return value
        writeln!(self.out, "{}return {};", INDENT, RETURN_VARIABLE_NAME)?;

        // End of function body
        writeln!(self.out, "}}")?;
        // Write extra new line
        writeln!(self.out)?;

        Ok(())
    }

    pub(super) fn write_wrapped_image_query_function_name(
        &mut self,
        query: WrappedImageQuery,
    ) -> BackendResult {
        let dim_str = query.dim.to_hlsl_str();
        let class_str = match query.class {
            crate::ImageClass::Sampled { multi: true, .. } => "MS",
            crate::ImageClass::Depth { multi: true } => "DepthMS",
            crate::ImageClass::Depth { multi: false } => "Depth",
            crate::ImageClass::Sampled { multi: false, .. } => "",
            crate::ImageClass::Storage { .. } => "RW",
        };
        let arrayed_str = if query.arrayed { "Array" } else { "" };
        let query_str = match query.query {
            ImageQuery::Size => "Dimensions",
            ImageQuery::SizeLevel => "MipDimensions",
            ImageQuery::NumLevels => "NumLevels",
            ImageQuery::NumLayers => "NumLayers",
            ImageQuery::NumSamples => "NumSamples",
        };

        write!(
            self.out,
            "Naga{}{}{}{}",
            class_str, query_str, dim_str, arrayed_str
        )?;

        Ok(())
    }

    /// Helper function that write wrapped function for `Expression::ImageQuery`
    ///
    /// <https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-to-getdimensions>
    pub(super) fn write_wrapped_image_query_function(
        &mut self,
        module: &crate::Module,
        wiq: WrappedImageQuery,
        expr_handle: Handle<crate::Expression>,
        func_ctx: &FunctionCtx,
    ) -> BackendResult {
        use crate::{
            back::{COMPONENTS, INDENT},
            ImageDimension as IDim,
        };

        const ARGUMENT_VARIABLE_NAME: &str = "tex";
        const RETURN_VARIABLE_NAME: &str = "ret";
        const MIP_LEVEL_PARAM: &str = "mip_level";

        // Write function return type and name
        let ret_ty = func_ctx.info[expr_handle].ty.inner_with(&module.types);
        self.write_value_type(module, ret_ty)?;
        write!(self.out, " ")?;
        self.write_wrapped_image_query_function_name(wiq)?;

        // Write function parameters
        write!(self.out, "(")?;
        // Texture always first parameter
        self.write_image_type(wiq.dim, wiq.arrayed, wiq.class)?;
        write!(self.out, " {}", ARGUMENT_VARIABLE_NAME)?;
        // Mipmap is a second parameter if exists
        if let ImageQuery::SizeLevel = wiq.query {
            write!(self.out, ", uint {}", MIP_LEVEL_PARAM)?;
        }
        writeln!(self.out, ")")?;

        // Write function body
        writeln!(self.out, "{{")?;

        let array_coords = if wiq.arrayed { 1 } else { 0 };
        // extra parameter is the mip level count or the sample count
        let extra_coords = match wiq.class {
            crate::ImageClass::Storage { .. } => 0,
            crate::ImageClass::Sampled { .. } | crate::ImageClass::Depth { .. } => 1,
        };

        // GetDimensions Overloaded Methods
        // https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-to-getdimensions#overloaded-methods
        let (ret_swizzle, number_of_params) = match wiq.query {
            ImageQuery::Size | ImageQuery::SizeLevel => {
                let ret = match wiq.dim {
                    IDim::D1 => "x",
                    IDim::D2 => "xy",
                    IDim::D3 => "xyz",
                    IDim::Cube => "xy",
                };
                (ret, ret.len() + array_coords + extra_coords)
            }
            ImageQuery::NumLevels | ImageQuery::NumSamples | ImageQuery::NumLayers => {
                if wiq.arrayed || wiq.dim == IDim::D3 {
                    ("w", 4)
                } else {
                    ("z", 3)
                }
            }
        };

        // Write `GetDimensions` function.
        writeln!(self.out, "{}uint4 {};", INDENT, RETURN_VARIABLE_NAME)?;
        write!(
            self.out,
            "{}{}.GetDimensions(",
            INDENT, ARGUMENT_VARIABLE_NAME
        )?;
        match wiq.query {
            ImageQuery::SizeLevel => {
                write!(self.out, "{}, ", MIP_LEVEL_PARAM)?;
            }
            _ => match wiq.class {
                crate::ImageClass::Sampled { multi: true, .. }
                | crate::ImageClass::Depth { multi: true }
                | crate::ImageClass::Storage { .. } => {}
                _ => {
                    // Write zero mipmap level for supported types
                    write!(self.out, "0, ")?;
                }
            },
        }

        for component in COMPONENTS[..number_of_params - 1].iter() {
            write!(self.out, "{}.{}, ", RETURN_VARIABLE_NAME, component)?;
        }

        // write last parameter without comma and space for last parameter
        write!(
            self.out,
            "{}.{}",
            RETURN_VARIABLE_NAME,
            COMPONENTS[number_of_params - 1]
        )?;

        writeln!(self.out, ");")?;

        // Write return value
        writeln!(
            self.out,
            "{}return {}.{};",
            INDENT, RETURN_VARIABLE_NAME, ret_swizzle
        )?;

        // End of function body
        writeln!(self.out, "}}")?;
        // Write extra new line
        writeln!(self.out)?;

        Ok(())
    }

    pub(super) fn write_wrapped_constructor_function_name(
        &mut self,
        module: &crate::Module,
        constructor: WrappedConstructor,
    ) -> BackendResult {
        let name = module.types[constructor.ty].inner.hlsl_type_id(
            constructor.ty,
            &module.types,
            &module.constants,
            &self.names,
        )?;
        write!(self.out, "Construct{}", name)?;
        Ok(())
    }

    /// Helper function that write wrapped function for `Expression::Compose` for structures.
    pub(super) fn write_wrapped_constructor_function(
        &mut self,
        module: &crate::Module,
        constructor: WrappedConstructor,
    ) -> BackendResult {
        use crate::back::INDENT;

        const ARGUMENT_VARIABLE_NAME: &str = "arg";
        const RETURN_VARIABLE_NAME: &str = "ret";

        // Write function return type and name
        if let crate::TypeInner::Array { base, size, .. } = module.types[constructor.ty].inner {
            write!(self.out, "typedef ")?;
            self.write_type(module, constructor.ty)?;
            write!(self.out, " ret_")?;
            self.write_wrapped_constructor_function_name(module, constructor)?;
            self.write_array_size(module, base, size)?;
            writeln!(self.out, ";")?;

            write!(self.out, "ret_")?;
            self.write_wrapped_constructor_function_name(module, constructor)?;
        } else {
            self.write_type(module, constructor.ty)?;
        }
        write!(self.out, " ")?;
        self.write_wrapped_constructor_function_name(module, constructor)?;

        // Write function parameters
        write!(self.out, "(")?;

        let mut write_arg = |i, ty| -> BackendResult {
            if i != 0 {
                write!(self.out, ", ")?;
            }
            self.write_type(module, ty)?;
            write!(self.out, " {}{}", ARGUMENT_VARIABLE_NAME, i)?;
            if let crate::TypeInner::Array { base, size, .. } = module.types[ty].inner {
                self.write_array_size(module, base, size)?;
            }
            Ok(())
        };

        match module.types[constructor.ty].inner {
            crate::TypeInner::Struct { ref members, .. } => {
                for (i, member) in members.iter().enumerate() {
                    write_arg(i, member.ty)?;
                }
            }
            crate::TypeInner::Array {
                base,
                size: crate::ArraySize::Constant(size),
                ..
            } => {
                let count = module.constants[size].to_array_length().unwrap();
                for i in 0..count as usize {
                    write_arg(i, base)?;
                }
            }
            _ => unreachable!(),
        };

        write!(self.out, ")")?;

        // Write function body
        writeln!(self.out, " {{")?;

        match module.types[constructor.ty].inner {
            crate::TypeInner::Struct { ref members, .. } => {
                let struct_name = &self.names[&NameKey::Type(constructor.ty)];
                writeln!(
                    self.out,
                    "{}{} {} = ({})0;",
                    INDENT, struct_name, RETURN_VARIABLE_NAME, struct_name
                )?;
                for (i, member) in members.iter().enumerate() {
                    let field_name = &self.names[&NameKey::StructMember(constructor.ty, i as u32)];

                    match module.types[member.ty].inner {
                        crate::TypeInner::Matrix {
                            columns,
                            rows: crate::VectorSize::Bi,
                            ..
                        } if member.binding.is_none() => {
                            for j in 0..columns as u8 {
                                writeln!(
                                    self.out,
                                    "{}{}.{}_{} = {}{}[{}];",
                                    INDENT,
                                    RETURN_VARIABLE_NAME,
                                    field_name,
                                    j,
                                    ARGUMENT_VARIABLE_NAME,
                                    i,
                                    j
                                )?;
                            }
                        }
                        ref other => {
                            // We cast arrays of native HLSL `floatCx2`s to arrays of `matCx2`s
                            // (where the inner matrix is represented by a struct with C `float2` members).
                            // See the module-level block comment in mod.rs for details.
                            if let Some(super::writer::MatrixType {
                                columns,
                                rows: crate::VectorSize::Bi,
                                width: 4,
                            }) = super::writer::get_inner_matrix_data(module, member.ty)
                            {
                                write!(
                                    self.out,
                                    "{}{}.{} = (__mat{}x2",
                                    INDENT, RETURN_VARIABLE_NAME, field_name, columns as u8
                                )?;
                                if let crate::TypeInner::Array { base, size, .. } = *other {
                                    self.write_array_size(module, base, size)?;
                                }
                                writeln!(self.out, "){}{};", ARGUMENT_VARIABLE_NAME, i,)?;
                            } else {
                                writeln!(
                                    self.out,
                                    "{}{}.{} = {}{};",
                                    INDENT,
                                    RETURN_VARIABLE_NAME,
                                    field_name,
                                    ARGUMENT_VARIABLE_NAME,
                                    i,
                                )?;
                            }
                        }
                    }
                }
            }
            crate::TypeInner::Array {
                base,
                size: crate::ArraySize::Constant(size),
                ..
            } => {
                write!(self.out, "{}", INDENT)?;
                self.write_type(module, base)?;
                write!(self.out, " {}", RETURN_VARIABLE_NAME)?;
                self.write_array_size(module, base, crate::ArraySize::Constant(size))?;
                write!(self.out, " = {{ ")?;
                let count = module.constants[size].to_array_length().unwrap();
                for i in 0..count {
                    if i != 0 {
                        write!(self.out, ", ")?;
                    }
                    write!(self.out, "{}{}", ARGUMENT_VARIABLE_NAME, i)?;
                }
                writeln!(self.out, " }};",)?;
            }
            _ => unreachable!(),
        }

        // Write return value
        writeln!(self.out, "{}return {};", INDENT, RETURN_VARIABLE_NAME)?;

        // End of function body
        writeln!(self.out, "}}")?;
        // Write extra new line
        writeln!(self.out)?;

        Ok(())
    }

    pub(super) fn write_wrapped_struct_matrix_get_function_name(
        &mut self,
        access: WrappedStructMatrixAccess,
    ) -> BackendResult {
        let name = &self.names[&NameKey::Type(access.ty)];
        let field_name = &self.names[&NameKey::StructMember(access.ty, access.index)];
        write!(self.out, "GetMat{}On{}", field_name, name)?;
        Ok(())
    }

    /// Writes a function used to get a matCx2 from within a structure.
    pub(super) fn write_wrapped_struct_matrix_get_function(
        &mut self,
        module: &crate::Module,
        access: WrappedStructMatrixAccess,
    ) -> BackendResult {
        use crate::back::INDENT;

        const STRUCT_ARGUMENT_VARIABLE_NAME: &str = "obj";

        // Write function return type and name
        let member = match module.types[access.ty].inner {
            crate::TypeInner::Struct { ref members, .. } => &members[access.index as usize],
            _ => unreachable!(),
        };
        let ret_ty = &module.types[member.ty].inner;
        self.write_value_type(module, ret_ty)?;
        write!(self.out, " ")?;
        self.write_wrapped_struct_matrix_get_function_name(access)?;

        // Write function parameters
        write!(self.out, "(")?;
        let struct_name = &self.names[&NameKey::Type(access.ty)];
        write!(
            self.out,
            "{} {}",
            struct_name, STRUCT_ARGUMENT_VARIABLE_NAME
        )?;

        // Write function body
        writeln!(self.out, ") {{")?;

        // Write return value
        write!(self.out, "{}return ", INDENT)?;
        self.write_value_type(module, ret_ty)?;
        write!(self.out, "(")?;
        let field_name = &self.names[&NameKey::StructMember(access.ty, access.index)];
        match module.types[member.ty].inner {
            crate::TypeInner::Matrix { columns, .. } => {
                for i in 0..columns as u8 {
                    if i != 0 {
                        write!(self.out, ", ")?;
                    }
                    write!(
                        self.out,
                        "{}.{}_{}",
                        STRUCT_ARGUMENT_VARIABLE_NAME, field_name, i
                    )?;
                }
            }
            _ => unreachable!(),
        }
        writeln!(self.out, ");")?;

        // End of function body
        writeln!(self.out, "}}")?;
        // Write extra new line
        writeln!(self.out)?;

        Ok(())
    }

    pub(super) fn write_wrapped_struct_matrix_set_function_name(
        &mut self,
        access: WrappedStructMatrixAccess,
    ) -> BackendResult {
        let name = &self.names[&NameKey::Type(access.ty)];
        let field_name = &self.names[&NameKey::StructMember(access.ty, access.index)];
        write!(self.out, "SetMat{}On{}", field_name, name)?;
        Ok(())
    }

    /// Writes a function used to set a matCx2 from within a structure.
    pub(super) fn write_wrapped_struct_matrix_set_function(
        &mut self,
        module: &crate::Module,
        access: WrappedStructMatrixAccess,
    ) -> BackendResult {
        use crate::back::INDENT;

        const STRUCT_ARGUMENT_VARIABLE_NAME: &str = "obj";
        const MATRIX_ARGUMENT_VARIABLE_NAME: &str = "mat";

        // Write function return type and name
        write!(self.out, "void ")?;
        self.write_wrapped_struct_matrix_set_function_name(access)?;

        // Write function parameters
        write!(self.out, "(")?;
        let struct_name = &self.names[&NameKey::Type(access.ty)];
        write!(
            self.out,
            "{} {}, ",
            struct_name, STRUCT_ARGUMENT_VARIABLE_NAME
        )?;
        let member = match module.types[access.ty].inner {
            crate::TypeInner::Struct { ref members, .. } => &members[access.index as usize],
            _ => unreachable!(),
        };
        self.write_type(module, member.ty)?;
        write!(self.out, " {}", MATRIX_ARGUMENT_VARIABLE_NAME)?;
        // Write function body
        writeln!(self.out, ") {{")?;

        let field_name = &self.names[&NameKey::StructMember(access.ty, access.index)];

        match module.types[member.ty].inner {
            crate::TypeInner::Matrix { columns, .. } => {
                for i in 0..columns as u8 {
                    writeln!(
                        self.out,
                        "{}{}.{}_{} = {}[{}];",
                        INDENT,
                        STRUCT_ARGUMENT_VARIABLE_NAME,
                        field_name,
                        i,
                        MATRIX_ARGUMENT_VARIABLE_NAME,
                        i
                    )?;
                }
            }
            _ => unreachable!(),
        }

        // End of function body
        writeln!(self.out, "}}")?;
        // Write extra new line
        writeln!(self.out)?;

        Ok(())
    }

    pub(super) fn write_wrapped_struct_matrix_set_vec_function_name(
        &mut self,
        access: WrappedStructMatrixAccess,
    ) -> BackendResult {
        let name = &self.names[&NameKey::Type(access.ty)];
        let field_name = &self.names[&NameKey::StructMember(access.ty, access.index)];
        write!(self.out, "SetMatVec{}On{}", field_name, name)?;
        Ok(())
    }

    /// Writes a function used to set a vec2 on a matCx2 from within a structure.
    pub(super) fn write_wrapped_struct_matrix_set_vec_function(
        &mut self,
        module: &crate::Module,
        access: WrappedStructMatrixAccess,
    ) -> BackendResult {
        use crate::back::INDENT;

        const STRUCT_ARGUMENT_VARIABLE_NAME: &str = "obj";
        const VECTOR_ARGUMENT_VARIABLE_NAME: &str = "vec";
        const MATRIX_INDEX_ARGUMENT_VARIABLE_NAME: &str = "mat_idx";

        // Write function return type and name
        write!(self.out, "void ")?;
        self.write_wrapped_struct_matrix_set_vec_function_name(access)?;

        // Write function parameters
        write!(self.out, "(")?;
        let struct_name = &self.names[&NameKey::Type(access.ty)];
        write!(
            self.out,
            "{} {}, ",
            struct_name, STRUCT_ARGUMENT_VARIABLE_NAME
        )?;
        let member = match module.types[access.ty].inner {
            crate::TypeInner::Struct { ref members, .. } => &members[access.index as usize],
            _ => unreachable!(),
        };
        let vec_ty = match module.types[member.ty].inner {
            crate::TypeInner::Matrix { rows, width, .. } => crate::TypeInner::Vector {
                size: rows,
                kind: crate::ScalarKind::Float,
                width,
            },
            _ => unreachable!(),
        };
        self.write_value_type(module, &vec_ty)?;
        write!(
            self.out,
            " {}, uint {}",
            VECTOR_ARGUMENT_VARIABLE_NAME, MATRIX_INDEX_ARGUMENT_VARIABLE_NAME
        )?;

        // Write function body
        writeln!(self.out, ") {{")?;

        writeln!(
            self.out,
            "{}switch({}) {{",
            INDENT, MATRIX_INDEX_ARGUMENT_VARIABLE_NAME
        )?;

        let field_name = &self.names[&NameKey::StructMember(access.ty, access.index)];

        match module.types[member.ty].inner {
            crate::TypeInner::Matrix { columns, .. } => {
                for i in 0..columns as u8 {
                    writeln!(
                        self.out,
                        "{}case {}: {{ {}.{}_{} = {}; break; }}",
                        INDENT,
                        i,
                        STRUCT_ARGUMENT_VARIABLE_NAME,
                        field_name,
                        i,
                        VECTOR_ARGUMENT_VARIABLE_NAME
                    )?;
                }
            }
            _ => unreachable!(),
        }

        writeln!(self.out, "{}}}", INDENT)?;

        // End of function body
        writeln!(self.out, "}}")?;
        // Write extra new line
        writeln!(self.out)?;

        Ok(())
    }

    pub(super) fn write_wrapped_struct_matrix_set_scalar_function_name(
        &mut self,
        access: WrappedStructMatrixAccess,
    ) -> BackendResult {
        let name = &self.names[&NameKey::Type(access.ty)];
        let field_name = &self.names[&NameKey::StructMember(access.ty, access.index)];
        write!(self.out, "SetMatScalar{}On{}", field_name, name)?;
        Ok(())
    }

    /// Writes a function used to set a float on a matCx2 from within a structure.
    pub(super) fn write_wrapped_struct_matrix_set_scalar_function(
        &mut self,
        module: &crate::Module,
        access: WrappedStructMatrixAccess,
    ) -> BackendResult {
        use crate::back::INDENT;

        const STRUCT_ARGUMENT_VARIABLE_NAME: &str = "obj";
        const SCALAR_ARGUMENT_VARIABLE_NAME: &str = "scalar";
        const MATRIX_INDEX_ARGUMENT_VARIABLE_NAME: &str = "mat_idx";
        const VECTOR_INDEX_ARGUMENT_VARIABLE_NAME: &str = "vec_idx";

        // Write function return type and name
        write!(self.out, "void ")?;
        self.write_wrapped_struct_matrix_set_scalar_function_name(access)?;

        // Write function parameters
        write!(self.out, "(")?;
        let struct_name = &self.names[&NameKey::Type(access.ty)];
        write!(
            self.out,
            "{} {}, ",
            struct_name, STRUCT_ARGUMENT_VARIABLE_NAME
        )?;
        let member = match module.types[access.ty].inner {
            crate::TypeInner::Struct { ref members, .. } => &members[access.index as usize],
            _ => unreachable!(),
        };
        let scalar_ty = match module.types[member.ty].inner {
            crate::TypeInner::Matrix { width, .. } => crate::TypeInner::Scalar {
                kind: crate::ScalarKind::Float,
                width,
            },
            _ => unreachable!(),
        };
        self.write_value_type(module, &scalar_ty)?;
        write!(
            self.out,
            " {}, uint {}, uint {}",
            SCALAR_ARGUMENT_VARIABLE_NAME,
            MATRIX_INDEX_ARGUMENT_VARIABLE_NAME,
            VECTOR_INDEX_ARGUMENT_VARIABLE_NAME
        )?;

        // Write function body
        writeln!(self.out, ") {{")?;

        writeln!(
            self.out,
            "{}switch({}) {{",
            INDENT, MATRIX_INDEX_ARGUMENT_VARIABLE_NAME
        )?;

        let field_name = &self.names[&NameKey::StructMember(access.ty, access.index)];

        match module.types[member.ty].inner {
            crate::TypeInner::Matrix { columns, .. } => {
                for i in 0..columns as u8 {
                    writeln!(
                        self.out,
                        "{}case {}: {{ {}.{}_{}[{}] = {}; break; }}",
                        INDENT,
                        i,
                        STRUCT_ARGUMENT_VARIABLE_NAME,
                        field_name,
                        i,
                        VECTOR_INDEX_ARGUMENT_VARIABLE_NAME,
                        SCALAR_ARGUMENT_VARIABLE_NAME
                    )?;
                }
            }
            _ => unreachable!(),
        }

        writeln!(self.out, "{}}}", INDENT)?;

        // End of function body
        writeln!(self.out, "}}")?;
        // Write extra new line
        writeln!(self.out)?;

        Ok(())
    }

    /// Helper function that write wrapped function for `Expression::ImageQuery` and `Expression::ArrayLength`
    ///
    /// <https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-to-getdimensions>
    pub(super) fn write_wrapped_functions(
        &mut self,
        module: &crate::Module,
        func_ctx: &FunctionCtx,
    ) -> BackendResult {
        for (handle, _) in func_ctx.expressions.iter() {
            match func_ctx.expressions[handle] {
                crate::Expression::ArrayLength(expr) => {
                    let global_expr = match func_ctx.expressions[expr] {
                        crate::Expression::GlobalVariable(_) => expr,
                        crate::Expression::AccessIndex { base, index: _ } => base,
                        ref other => unreachable!("Array length of {:?}", other),
                    };
                    let global_var = match func_ctx.expressions[global_expr] {
                        crate::Expression::GlobalVariable(var_handle) => {
                            &module.global_variables[var_handle]
                        }
                        ref other => unreachable!("Array length of base {:?}", other),
                    };
                    let storage_access = match global_var.space {
                        crate::AddressSpace::Storage { access } => access,
                        _ => crate::StorageAccess::default(),
                    };
                    let wal = WrappedArrayLength {
                        writable: storage_access.contains(crate::StorageAccess::STORE),
                    };

                    if !self.wrapped.array_lengths.contains(&wal) {
                        self.write_wrapped_array_length_function(module, wal, handle, func_ctx)?;
                        self.wrapped.array_lengths.insert(wal);
                    }
                }
                crate::Expression::ImageQuery { image, query } => {
                    let wiq = match *func_ctx.info[image].ty.inner_with(&module.types) {
                        crate::TypeInner::Image {
                            dim,
                            arrayed,
                            class,
                        } => WrappedImageQuery {
                            dim,
                            arrayed,
                            class,
                            query: query.into(),
                        },
                        _ => unreachable!("we only query images"),
                    };

                    if !self.wrapped.image_queries.contains(&wiq) {
                        self.write_wrapped_image_query_function(module, wiq, handle, func_ctx)?;
                        self.wrapped.image_queries.insert(wiq);
                    }
                }
                // Write `WrappedConstructor` for structs that are loaded from `AddressSpace::Storage`
                // since they will later be used by the fn `write_storage_load`
                crate::Expression::Load { pointer } => {
                    let pointer_space = func_ctx.info[pointer]
                        .ty
                        .inner_with(&module.types)
                        .pointer_space();

                    if let Some(crate::AddressSpace::Storage { .. }) = pointer_space {
                        if let Some(ty) = func_ctx.info[handle].ty.handle() {
                            write_wrapped_constructor(self, ty, module, func_ctx)?;
                        }
                    }

                    fn write_wrapped_constructor<W: Write>(
                        writer: &mut super::Writer<'_, W>,
                        ty: Handle<crate::Type>,
                        module: &crate::Module,
                        func_ctx: &FunctionCtx,
                    ) -> BackendResult {
                        match module.types[ty].inner {
                            crate::TypeInner::Struct { ref members, .. } => {
                                for member in members {
                                    write_wrapped_constructor(writer, member.ty, module, func_ctx)?;
                                }

                                let constructor = WrappedConstructor { ty };
                                if !writer.wrapped.constructors.contains(&constructor) {
                                    writer
                                        .write_wrapped_constructor_function(module, constructor)?;
                                    writer.wrapped.constructors.insert(constructor);
                                }
                            }
                            crate::TypeInner::Array { base, .. } => {
                                write_wrapped_constructor(writer, base, module, func_ctx)?;
                            }
                            _ => {}
                        };

                        Ok(())
                    }
                }
                crate::Expression::Compose { ty, components: _ } => {
                    let constructor = match module.types[ty].inner {
                        crate::TypeInner::Struct { .. } | crate::TypeInner::Array { .. } => {
                            WrappedConstructor { ty }
                        }
                        _ => continue,
                    };
                    if !self.wrapped.constructors.contains(&constructor) {
                        self.write_wrapped_constructor_function(module, constructor)?;
                        self.wrapped.constructors.insert(constructor);
                    }
                }
                // We treat matrices of the form `matCx2` as a sequence of C `vec2`s
                // (see top level module docs for details).
                //
                // The functions injected here are required to get the matrix accesses working.
                crate::Expression::AccessIndex { base, index } => {
                    let base_ty_res = &func_ctx.info[base].ty;
                    let mut resolved = base_ty_res.inner_with(&module.types);
                    let base_ty_handle = match *resolved {
                        crate::TypeInner::Pointer { base, .. } => {
                            resolved = &module.types[base].inner;
                            Some(base)
                        }
                        _ => base_ty_res.handle(),
                    };
                    if let crate::TypeInner::Struct { ref members, .. } = *resolved {
                        let member = &members[index as usize];

                        match module.types[member.ty].inner {
                            crate::TypeInner::Matrix {
                                rows: crate::VectorSize::Bi,
                                ..
                            } if member.binding.is_none() => {
                                let ty = base_ty_handle.unwrap();
                                let access = WrappedStructMatrixAccess { ty, index };

                                if !self.wrapped.struct_matrix_access.contains(&access) {
                                    self.write_wrapped_struct_matrix_get_function(module, access)?;
                                    self.write_wrapped_struct_matrix_set_function(module, access)?;
                                    self.write_wrapped_struct_matrix_set_vec_function(
                                        module, access,
                                    )?;
                                    self.write_wrapped_struct_matrix_set_scalar_function(
                                        module, access,
                                    )?;
                                    self.wrapped.struct_matrix_access.insert(access);
                                }
                            }
                            _ => {}
                        }
                    }
                }
                _ => {}
            };
        }

        Ok(())
    }

    pub(super) fn write_wrapped_constructor_function_for_constant(
        &mut self,
        module: &crate::Module,
        constant: &crate::Constant,
    ) -> BackendResult {
        if let crate::ConstantInner::Composite { ty, ref components } = constant.inner {
            match module.types[ty].inner {
                crate::TypeInner::Struct { .. } | crate::TypeInner::Array { .. } => {
                    let constructor = WrappedConstructor { ty };
                    if !self.wrapped.constructors.contains(&constructor) {
                        self.write_wrapped_constructor_function(module, constructor)?;
                        self.wrapped.constructors.insert(constructor);
                    }
                }
                _ => {}
            }
            for constant in components {
                self.write_wrapped_constructor_function_for_constant(
                    module,
                    &module.constants[*constant],
                )?;
            }
        }

        Ok(())
    }

    pub(super) fn write_texture_coordinates(
        &mut self,
        kind: &str,
        coordinate: Handle<crate::Expression>,
        array_index: Option<Handle<crate::Expression>>,
        mip_level: Option<Handle<crate::Expression>>,
        module: &crate::Module,
        func_ctx: &FunctionCtx,
    ) -> BackendResult {
        // HLSL expects the array index to be merged with the coordinate
        let extra = array_index.is_some() as usize + (mip_level.is_some()) as usize;
        if extra == 0 {
            self.write_expr(module, coordinate, func_ctx)?;
        } else {
            let num_coords = match *func_ctx.info[coordinate].ty.inner_with(&module.types) {
                crate::TypeInner::Scalar { .. } => 1,
                crate::TypeInner::Vector { size, .. } => size as usize,
                _ => unreachable!(),
            };
            write!(self.out, "{}{}(", kind, num_coords + extra)?;
            self.write_expr(module, coordinate, func_ctx)?;
            if let Some(expr) = array_index {
                write!(self.out, ", ")?;
                self.write_expr(module, expr, func_ctx)?;
            }
            if let Some(expr) = mip_level {
                write!(self.out, ", ")?;
                self.write_expr(module, expr, func_ctx)?;
            }
            write!(self.out, ")")?;
        }
        Ok(())
    }

    pub(super) fn write_mat_cx2_typedef_and_functions(
        &mut self,
        WrappedMatCx2 { columns }: WrappedMatCx2,
    ) -> BackendResult {
        use crate::back::INDENT;

        // typedef
        write!(self.out, "typedef struct {{ ")?;
        for i in 0..columns as u8 {
            write!(self.out, "float2 _{}; ", i)?;
        }
        writeln!(self.out, "}} __mat{}x2;", columns as u8)?;

        // __get_col_of_mat
        writeln!(
            self.out,
            "float2 __get_col_of_mat{}x2(__mat{}x2 mat, uint idx) {{",
            columns as u8, columns as u8
        )?;
        writeln!(self.out, "{}switch(idx) {{", INDENT)?;
        for i in 0..columns as u8 {
            writeln!(self.out, "{}case {}: {{ return mat._{}; }}", INDENT, i, i)?;
        }
        writeln!(self.out, "{}default: {{ return (float2)0; }}", INDENT)?;
        writeln!(self.out, "{}}}", INDENT)?;
        writeln!(self.out, "}}")?;

        // __set_col_of_mat
        writeln!(
            self.out,
            "void __set_col_of_mat{}x2(__mat{}x2 mat, uint idx, float2 value) {{",
            columns as u8, columns as u8
        )?;
        writeln!(self.out, "{}switch(idx) {{", INDENT)?;
        for i in 0..columns as u8 {
            writeln!(
                self.out,
                "{}case {}: {{ mat._{} = value; break; }}",
                INDENT, i, i
            )?;
        }
        writeln!(self.out, "{}}}", INDENT)?;
        writeln!(self.out, "}}")?;

        // __set_el_of_mat
        writeln!(
            self.out,
            "void __set_el_of_mat{}x2(__mat{}x2 mat, uint idx, uint vec_idx, float value) {{",
            columns as u8, columns as u8
        )?;
        writeln!(self.out, "{}switch(idx) {{", INDENT)?;
        for i in 0..columns as u8 {
            writeln!(
                self.out,
                "{}case {}: {{ mat._{}[vec_idx] = value; break; }}",
                INDENT, i, i
            )?;
        }
        writeln!(self.out, "{}}}", INDENT)?;
        writeln!(self.out, "}}")?;

        writeln!(self.out)?;

        Ok(())
    }

    pub(super) fn write_all_mat_cx2_typedefs_and_functions(
        &mut self,
        module: &crate::Module,
    ) -> BackendResult {
        for (handle, _) in module.global_variables.iter() {
            let global = &module.global_variables[handle];

            if global.space == crate::AddressSpace::Uniform {
                if let Some(super::writer::MatrixType {
                    columns,
                    rows: crate::VectorSize::Bi,
                    width: 4,
                }) = super::writer::get_inner_matrix_data(module, global.ty)
                {
                    let entry = WrappedMatCx2 { columns };
                    if !self.wrapped.mat_cx2s.contains(&entry) {
                        self.write_mat_cx2_typedef_and_functions(entry)?;
                        self.wrapped.mat_cx2s.insert(entry);
                    }
                }
            }
        }

        for (_, ty) in module.types.iter() {
            if let crate::TypeInner::Struct { ref members, .. } = ty.inner {
                for member in members.iter() {
                    if let crate::TypeInner::Array { .. } = module.types[member.ty].inner {
                        if let Some(super::writer::MatrixType {
                            columns,
                            rows: crate::VectorSize::Bi,
                            width: 4,
                        }) = super::writer::get_inner_matrix_data(module, member.ty)
                        {
                            let entry = WrappedMatCx2 { columns };
                            if !self.wrapped.mat_cx2s.contains(&entry) {
                                self.write_mat_cx2_typedef_and_functions(entry)?;
                                self.wrapped.mat_cx2s.insert(entry);
                            }
                        }
                    }
                }
            }
        }

        Ok(())
    }
}


================================================
FILE: lib/naga/src/back/hlsl/keywords.rs
================================================
/*!
HLSL Reserved Words
- <https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-appendix-keywords>
- <https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-appendix-reserved-words>
*/

pub const RESERVED: &[&str] = &[
    "AppendStructuredBuffer",
    "asm",
    "asm_fragment",
    "BlendState",
    "bool",
    "break",
    "Buffer",
    "ByteAddressBuffer",
    "case",
    "cbuffer",
    "centroid",
    "class",
    "column_major",
    "compile",
    "compile_fragment",
    "CompileShader",
    "const",
    "continue",
    "ComputeShader",
    "ConsumeStructuredBuffer",
    "default",
    "DepthStencilState",
    "DepthStencilView",
    "discard",
    "do",
    "double",
    "DomainShader",
    "dword",
    "else",
    "export",
    "extern",
    "false",
    "float",
    "for",
    "fxgroup",
    "GeometryShader",
    "groupshared",
    "half",
    "Hullshader",
    "if",
    "in",
    "inline",
    "inout",
    "InputPatch",
    "int",
    "interface",
    "line",
    "lineadj",
    "linear",
    "LineStream",
    "matrix",
    "min16float",
    "min10float",
    "min16int",
    "min12int",
    "min16uint",
    "namespace",
    "nointerpolation",
    "noperspective",
    "NULL",
    "out",
    "OutputPatch",
    "packoffset",
    "pass",
    "pixelfragment",
    "PixelShader",
    "point",
    "PointStream",
    "precise",
    "RasterizerState",
    "RenderTargetView",
    "return",
    "register",
    "row_major",
    "RWBuffer",
    "RWByteAddressBuffer",
    "RWStructuredBuffer",
    "RWTexture1D",
    "RWTexture1DArray",
    "RWTexture2D",
    "RWTexture2DArray",
    "RWTexture3D",
    "sample",
    "sampler",
    "SamplerState",
    "SamplerComparisonState",
    "shared",
    "snorm",
    "stateblock",
    "stateblock_state",
    "static",
    "string",
    "struct",
    "switch",
    "StructuredBuffer",
    "tbuffer",
    "technique",
    "technique10",
    "technique11",
    "texture",
    "Texture1D",
    "Texture1DArray",
    "Texture2D",
    "Texture2DArray",
    "Texture2DMS",
    "Texture2DMSArray",
    "Texture3D",
    "TextureCube",
    "TextureCubeArray",
    "true",
    "typedef",
    "triangle",
    "triangleadj",
    "TriangleStream",
    "uint",
    "uniform",
    "unorm",
    "unsigned",
    "vector",
    "vertexfragment",
    "VertexShader",
    "void",
    "volatile",
    "while",
    "auto",
    "case",
    "catch",
    "char",
    "class",
    "const_cast",
    "default",
    "delete",
    "dynamic_cast",
    "enum",
    "explicit",
    "friend",
    "goto",
    "long",
    "mutable",
    "new",
    "operator",
    "private",
    "protected",
    "public",
    "reinterpret_cast",
    "short",
    "signed",
    "sizeof",
    "static_cast",
    "template",
    "this",
    "throw",
    "try",
    "typename",
    "union",
    "unsigned",
    "using",
    "virtual",
];


================================================
FILE: lib/naga/src/back/hlsl/mod.rs
================================================
/*!
Backend for [HLSL][hlsl] (High-Level Shading Language).

# Supported shader model versions:
- 5.0
- 5.1
- 6.0

# Layout of values in `uniform` buffers

WGSL's ["Internal Layout of Values"][ilov] rules specify how each WGSL
type should be stored in `uniform` and `storage` buffers. The HLSL we
generate must access values in that form, even when it is not what
HLSL would use normally.

The rules described here only apply to WGSL `uniform` variables. WGSL
`storage` buffers are translated as HLSL `ByteAddressBuffers`, for
which we generate `Load` and `Store` method calls with explicit byte
offsets. WGSL pipeline inputs must be scalars or vectors; they cannot
be matrices, which is where the interesting problems arise.

## Row- and column-major ordering for matrices

WGSL specifies that matrices in uniform buffers are stored in
column-major order. This matches HLSL's default, so one might expect
things to be straightforward. Unfortunately, WGSL and HLSL disagree on
what indexing a matrix means: in WGSL, `m[i]` retrieves the `i`'th
*column* of `m`, whereas in HLSL it retrieves the `i`'th *row*. We
want to avoid translating `m[i]` into some complicated reassembly of a
vector from individually fetched components, so this is a problem.

However, with a bit of trickery, it is possible to use HLSL's `m[i]`
as the translation of WGSL's `m[i]`:

- We declare all matrices in uniform buffers in HLSL with the
  `row_major` qualifier, and transpose the row and column counts: a
  WGSL `mat3x4<f32>`, say, becomes an HLSL `row_major float3x4`. (Note
  that WGSL and HLSL type names put the row and column in reverse
  order.) Since the HLSL type is the transpose of how WebGPU directs
  the user to store the data, HLSL will load all matrices transposed.

- Since matrices are transposed, an HLSL indexing expression retrieves
  the "columns" of the intended WGSL value, as desired.

- For vector-matrix multiplication, since `mul(transpose(m), v)` is
  equivalent to `mul(v, m)` (note the reversal of the arguments), and
  `mul(v, transpose(m))` is equivalent to `mul(m, v)`, we can
  translate WGSL `m * v` and `v * m` to HLSL by simply reversing the
  arguments to `mul`.

## Padding in two-row matrices

An HLSL `row_major floatKx2` matrix has padding between its rows that
the WGSL `matKx2<f32>` matrix it represents does not. HLSL stores all
matrix rows [aligned on 16-byte boundaries][16bb], whereas WGSL says
that the columns of a `matKx2<f32>` need only be [aligned as required
for `vec2<f32>`][ilov], which is [eight-byte alignment][8bb].

To compensate for this, any time a `matKx2<f32>` appears in a WGSL
`uniform` variable, whether directly as the variable's type or as part
of a struct/array, we actually emit `K` separate `float2` members, and
assemble/disassemble the matrix from its columns (in WGSL; rows in
HLSL) upon load and store.

For example, the following WGSL struct type:

```ignore
struct Baz {
        m: mat3x2<f32>,
}
```

is rendered as the HLSL struct type:

```ignore
struct Baz {
    float2 m_0; float2 m_1; float2 m_2;
};
```

The `wrapped_struct_matrix` functions in `help.rs` generate HLSL
helper functions to access such members, converting between the stored
form and the HLSL matrix types appropriately. For example, for reading
the member `m` of the `Baz` struct above, we emit:

```ignore
float3x2 GetMatmOnBaz(Baz obj) {
    return float3x2(obj.m_0, obj.m_1, obj.m_2);
}
```

We also emit an analogous `Set` function, as well as functions for
accessing individual columns by dynamic index.

[hlsl]: https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl
[ilov]: https://gpuweb.github.io/gpuweb/wgsl/#internal-value-layout
[16bb]: https://github.com/microsoft/DirectXShaderCompiler/wiki/Buffer-Packing#constant-buffer-packing
[8bb]: https://gpuweb.github.io/gpuweb/wgsl/#alignment-and-size
*/

mod conv;
mod help;
mod keywords;
mod storage;
mod writer;

use std::fmt::Error as FmtError;
use thiserror::Error;

use crate::proc;

#[derive(Clone, Debug, Default, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct BindTarget {
    pub space: u8,
    pub register: u32,
    /// If the binding is an unsized binding array, this overrides the size.
    pub binding_array_size: Option<u32>,
}

// Using `BTreeMap` instead of `HashMap` so that we can hash itself.
pub type BindingMap = std::collections::BTreeMap<crate::ResourceBinding, BindTarget>;

/// A HLSL shader model version.
#[allow(non_snake_case, non_camel_case_types)]
#[derive(Copy, Clone, Debug, Hash, Eq, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub enum ShaderModel {
    V5_0,
    V5_1,
    V6_0,
}

impl ShaderModel {
    pub const fn to_str(self) -> &'static str {
        match self {
            Self::V5_0 => "5_0",
            Self::V5_1 => "5_1",
            Self::V6_0 => "6_0",
        }
    }
}

impl crate::ShaderStage {
    pub const fn to_hlsl_str(self) -> &'static str {
        match self {
            Self::Vertex => "vs",
            Self::Fragment => "ps",
            Self::Compute => "cs",
        }
    }
}

impl crate::ImageDimension {
    const fn to_hlsl_str(self) -> &'static str {
        match self {
            Self::D1 => "1D",
            Self::D2 => "2D",
            Self::D3 => "3D",
            Self::Cube => "Cube",
        }
    }
}

/// Shorthand result used internally by the backend
type BackendResult = Result<(), Error>;

#[derive(Clone, Debug, PartialEq, thiserror::Error)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub enum EntryPointError {
    #[error("mapping of {0:?} is missing")]
    MissingBinding(crate::ResourceBinding),
}

/// Configuration used in the [`Writer`].
#[derive(Clone, Debug, Hash, PartialEq, Eq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct Options {
    /// The hlsl shader model to be used
    pub shader_model: ShaderModel,
    /// Map of resources association to binding locations.
    pub binding_map: BindingMap,
    /// Don't panic on missing bindings, instead generate any HLSL.
    pub fake_missing_bindings: bool,
    /// Add special constants to `SV_VertexIndex` and `SV_InstanceIndex`,
    /// to make them work like in Vulkan/Metal, with help of the host.
    pub special_constants_binding: Option<BindTarget>,
    /// Bind target of the push constant buffer
    pub push_constants_target: Option<BindTarget>,
}

impl Default for Options {
    fn default() -> Self {
        Options {
            shader_model: ShaderModel::V5_1,
            binding_map: BindingMap::default(),
            fake_missing_bindings: true,
            special_constants_binding: None,
            push_constants_target: None,
        }
    }
}

impl Options {
    fn resolve_resource_binding(
        &self,
        res_binding: &crate::ResourceBinding,
    ) -> Result<BindTarget, EntryPointError> {
        match self.binding_map.get(res_binding) {
            Some(target) => Ok(target.clone()),
            None if self.fake_missing_bindings => Ok(BindTarget {
                space: res_binding.group as u8,
                register: res_binding.binding,
                binding_array_size: None,
            }),
            None => Err(EntryPointError::MissingBinding(res_binding.clone())),
        }
    }
}

/// Reflection info for entry point names.
#[derive(Default)]
pub struct ReflectionInfo {
    /// Mapping of the entry point names.
    ///
    /// Each item in the array corresponds to an entry point index. The real entry point name may be different if one of the
    /// reserved words are used.
    ///
    /// Note: Some entry points may fail translation because of missing bindings.
    pub entry_point_names: Vec<Result<String, EntryPointError>>,
}

#[derive(Error, Debug)]
pub enum Error {
    #[error(transparent)]
    IoError(#[from] FmtError),
    #[error("A scalar with an unsupported width was requested: {0:?} {1:?}")]
    UnsupportedScalar(crate::ScalarKind, crate::Bytes),
    #[error("{0}")]
    Unimplemented(String), // TODO: Error used only during development
    #[error("{0}")]
    Custom(String),
}

#[derive(Default)]
struct Wrapped {
    array_lengths: crate::FastHashSet<help::WrappedArrayLength>,
    image_queries: crate::FastHashSet<help::WrappedImageQuery>,
    constructors: crate::FastHashSet<help::WrappedConstructor>,
    struct_matrix_access: crate::FastHashSet<help::WrappedStructMatrixAccess>,
    mat_cx2s: crate::FastHashSet<help::WrappedMatCx2>,
}

impl Wrapped {
    fn clear(&mut self) {
        self.array_lengths.clear();
        self.image_queries.clear();
        self.constructors.clear();
        self.struct_matrix_access.clear();
        self.mat_cx2s.clear();
    }
}

pub struct Writer<'a, W> {
    out: W,
    names: crate::FastHashMap<proc::NameKey, String>,
    namer: proc::Namer,
    /// HLSL backend options
    options: &'a Options,
    /// Information about entry point arguments and result types.
    entry_point_io: Vec<writer::EntryPointInterface>,
    /// Set of expressions that have associated temporary variables
    named_expressions: crate::NamedExpressions,
    wrapped: Wrapped,
    temp_access_chain: Vec<storage::SubAccess>,
}


================================================
FILE: lib/naga/src/back/hlsl/storage.rs
================================================
/*!
Logic related to `ByteAddressBuffer` operations.

HLSL backend uses byte address buffers for all storage buffers in IR.
*/

use super::{super::FunctionCtx, BackendResult, Error};
use crate::{
    proc::{Alignment, NameKey, TypeResolution},
    Handle,
};

use std::{fmt, mem};

const STORE_TEMP_NAME: &str = "_value";

#[derive(Debug)]
pub(super) enum SubAccess {
    Offset(u32),
    Index {
        value: Handle<crate::Expression>,
        stride: u32,
    },
}

pub(super) enum StoreValue {
    Expression(Handle<crate::Expression>),
    TempIndex {
        depth: usize,
        index: u32,
        ty: TypeResolution,
    },
    TempAccess {
        depth: usize,
        base: Handle<crate::Type>,
        member_index: u32,
    },
}

impl<W: fmt::Write> super::Writer<'_, W> {
    pub(super) fn write_storage_address(
        &mut self,
        module: &crate::Module,
        chain: &[SubAccess],
        func_ctx: &FunctionCtx,
    ) -> BackendResult {
        if chain.is_empty() {
            write!(self.out, "0")?;
        }
        for (i, access) in chain.iter().enumerate() {
            if i != 0 {
                write!(self.out, "+")?;
            }
            match *access {
                SubAccess::Offset(offset) => {
                    write!(self.out, "{}", offset)?;
                }
                SubAccess::Index { value, stride } => {
                    self.write_expr(module, value, func_ctx)?;
                    write!(self.out, "*{}", stride)?;
                }
            }
        }
        Ok(())
    }

    fn write_storage_load_sequence<I: Iterator<Item = (TypeResolution, u32)>>(
        &mut self,
        module: &crate::Module,
        var_handle: Handle<crate::GlobalVariable>,
        sequence: I,
        func_ctx: &FunctionCtx,
    ) -> BackendResult {
        for (i, (ty_resolution, offset)) in sequence.enumerate() {
            // add the index temporarily
            self.temp_access_chain.push(SubAccess::Offset(offset));
            if i != 0 {
                write!(self.out, ", ")?;
            };
            self.write_storage_load(module, var_handle, ty_resolution, func_ctx)?;
            self.temp_access_chain.pop();
        }
        Ok(())
    }

    /// Helper function to write down the Load operation on a `ByteAddressBuffer`.
    pub(super) fn write_storage_load(
        &mut self,
        module: &crate::Module,
        var_handle: Handle<crate::GlobalVariable>,
        result_ty: TypeResolution,
        func_ctx: &FunctionCtx,
    ) -> BackendResult {
        match *result_ty.inner_with(&module.types) {
            crate::TypeInner::Scalar { kind, width: _ } => {
                // working around the borrow checker in `self.write_expr`
                let chain = mem::take(&mut self.temp_access_chain);
                let var_name = &self.names[&NameKey::GlobalVariable(var_handle)];
                let cast = kind.to_hlsl_cast();
                write!(self.out, "{}({}.Load(", cast, var_name)?;
                self.write_storage_address(module, &chain, func_ctx)?;
                write!(self.out, "))")?;
                self.temp_access_chain = chain;
            }
            crate::TypeInner::Vector {
                size,
                kind,
                width: _,
            } => {
                // working around the borrow checker in `self.write_expr`
                let chain = mem::take(&mut self.temp_access_chain);
                let var_name = &self.names[&NameKey::GlobalVariable(var_handle)];
                let cast = kind.to_hlsl_cast();
                write!(self.out, "{}({}.Load{}(", cast, var_name, size as u8)?;
                self.write_storage_address(module, &chain, func_ctx)?;
                write!(self.out, "))")?;
                self.temp_access_chain = chain;
            }
            crate::TypeInner::Matrix {
                columns,
                rows,
                width,
            } => {
                write!(
                    self.out,
                    "{}{}x{}(",
                    crate::ScalarKind::Float.to_hlsl_str(width)?,
                    columns as u8,
                    rows as u8,
                )?;

                // Note: Matrices containing vec3s, due to padding, act like they contain vec4s.
                let row_stride = Alignment::from(rows) * width as u32;
                let iter = (0..columns as u32).map(|i| {
                    let ty_inner = crate::TypeInner::Vector {
                        size: rows,
                        kind: crate::ScalarKind::Float,
                        width,
                    };
                    (TypeResolution::Value(ty_inner), i * row_stride)
                });
                self.write_storage_load_sequence(module, var_handle, iter, func_ctx)?;
                write!(self.out, ")")?;
            }
            crate::TypeInner::Array {
                base,
                size: crate::ArraySize::Constant(const_handle),
                ..
            } => {
                write!(self.out, "{{")?;
                let count = module.constants[const_handle].to_array_length().unwrap();
                let stride = module.types[base].inner.size(&module.constants);
                let iter = (0..count).map(|i| (TypeResolution::Handle(base), stride * i));
                self.write_storage_load_sequence(module, var_handle, iter, func_ctx)?;
                write!(self.out, "}}")?;
            }
            crate::TypeInner::Struct { ref members, .. } => {
                let constructor = super::help::WrappedConstructor {
                    ty: result_ty.handle().unwrap(),
                };
                self.write_wrapped_constructor_function_name(module, constructor)?;
                write!(self.out, "(")?;
                let iter = members
                    .iter()
                    .map(|m| (TypeResolution::Handle(m.ty), m.offset));
                self.write_storage_load_sequence(module, var_handle, iter, func_ctx)?;
                write!(self.out, ")")?;
            }
            _ => unreachable!(),
        }
        Ok(())
    }

    fn write_store_value(
        &mut self,
        module: &crate::Module,
        value: &StoreValue,
        func_ctx: &FunctionCtx,
    ) -> BackendResult {
        match *value {
            StoreValue::Expression(expr) => self.write_expr(module, expr, func_ctx)?,
            StoreValue::TempIndex {
                depth,
                index,
                ty: _,
            } => write!(self.out, "{}{}[{}]", STORE_TEMP_NAME, depth, index)?,
            StoreValue::TempAccess {
                depth,
                base,
                member_index,
            } => {
                let name = &self.names[&NameKey::StructMember(base, member_index)];
                write!(self.out, "{}{}.{}", STORE_TEMP_NAME, depth, name)?
            }
        }
        Ok(())
    }

    /// Helper function to write down the Store operation on a `ByteAddressBuffer`.
    pub(super) fn write_storage_store(
        &mut self,
        module: &crate::Module,
        var_handle: Handle<crate::GlobalVariable>,
        value: StoreValue,
        func_ctx: &FunctionCtx,
        level: crate::back::Level,
    ) -> BackendResult {
        let temp_resolution;
        let ty_resolution = match value {
            StoreValue::Expression(expr) => &func_ctx.info[expr].ty,
            StoreValue::TempIndex {
                depth: _,
                index: _,
                ref ty,
            } => ty,
            StoreValue::TempAccess {
                depth: _,
                base,
                member_index,
            } => {
                let ty_handle = match module.types[base].inner {
                    crate::TypeInner::Struct { ref members, .. } => {
                        members[member_index as usize].ty
                    }
                    _ => unreachable!(),
                };
                temp_resolution = TypeResolution::Handle(ty_handle);
                &temp_resolution
            }
        };
        match *ty_resolution.inner_with(&module.types) {
            crate::TypeInner::Scalar { .. } => {
                // working around the borrow checker in `self.write_expr`
                let chain = mem::take(&mut self.temp_access_chain);
                let var_name = &self.names[&NameKey::GlobalVariable(var_handle)];
                write!(self.out, "{}{}.Store(", level, var_name)?;
                self.write_storage_address(module, &chain, func_ctx)?;
                write!(self.out, ", asuint(")?;
                self.write_store_value(module, &value, func_ctx)?;
                writeln!(self.out, "));")?;
                self.temp_access_chain = chain;
            }
            crate::TypeInner::Vector { size, .. } => {
                // working around the borrow checker in `self.write_expr`
                let chain = mem::take(&mut self.temp_access_chain);
                let var_name = &self.names[&NameKey::GlobalVariable(var_handle)];
                write!(self.out, "{}{}.Store{}(", level, var_name, size as u8)?;
                self.write_storage_address(module, &chain, func_ctx)?;
                write!(self.out, ", asuint(")?;
                self.write_store_value(module, &value, func_ctx)?;
                writeln!(self.out, "));")?;
                self.temp_access_chain = chain;
            }
            crate::TypeInner::Matrix {
                columns,
                rows,
                width,
            } => {
                // first, assign the value to a temporary
                writeln!(self.out, "{}{{", level)?;
                let depth = level.0 + 1;
                write!(
                    self.out,
                    "{}{}{}x{} {}{} = ",
                    level.next(),
                    crate::ScalarKind::Float.to_hlsl_str(width)?,
                    columns as u8,
                    rows as u8,
                    STORE_TEMP_NAME,
                    depth,
                )?;
                self.write_store_value(module, &value, func_ctx)?;
                writeln!(self.out, ";")?;

                // Note: Matrices containing vec3s, due to padding, act like they contain vec4s.
                let row_stride = Alignment::from(rows) * width as u32;

                // then iterate the stores
                for i in 0..columns as u32 {
                    self.temp_access_chain
                        .push(SubAccess::Offset(i * row_stride));
                    let ty_inner = crate::TypeInner::Vector {
                        size: rows,
                        kind: crate::ScalarKind::Float,
                        width,
                    };
                    let sv = StoreValue::TempIndex {
                        depth,
                        index: i,
                        ty: TypeResolution::Value(ty_inner),
                    };
                    self.write_storage_store(module, var_handle, sv, func_ctx, level.next())?;
                    self.temp_access_chain.pop();
                }
                // done
                writeln!(self.out, "{}}}", level)?;
            }
            crate::TypeInner::Array {
                base,
                size: crate::ArraySize::Constant(const_handle),
                ..
            } => {
                // first, assign the value to a temporary
                writeln!(self.out, "{}{{", level)?;
                write!(self.out, "{}", level.next())?;
                self.write_value_type(module, &module.types[base].inner)?;
                let depth = level.next().0;
                write!(self.out, " {}{}", STORE_TEMP_NAME, depth)?;
                self.write_array_size(module, base, crate::ArraySize::Constant(const_handle))?;
                write!(self.out, " = ")?;
                self.write_store_value(module, &value, func_ctx)?;
                writeln!(self.out, ";")?;
                // then iterate the stores
                let count = module.constants[const_handle].to_array_length().unwrap();
                let stride = module.types[base].inner.size(&module.constants);
                for i in 0..count {
                    self.temp_access_chain.push(SubAccess::Offset(i * stride));
                    let sv = StoreValue::TempIndex {
                        depth,
                        index: i,
                        ty: TypeResolution::Handle(base),
                    };
                    self.write_storage_store(module, var_handle, sv, func_ctx, level.next())?;
                    self.temp_access_chain.pop();
                }
                // done
                writeln!(self.out, "{}}}", level)?;
            }
            crate::TypeInner::Struct { ref members, .. } => {
                // first, assign the value to a temporary
                writeln!(self.out, "{}{{", level)?;
                let depth = level.next().0;
                let struct_ty = ty_resolution.handle().unwrap();
                let struct_name = &self.names[&NameKey::Type(struct_ty)];
                write!(
                    self.out,
                    "{}{} {}{} = ",
                    level.next(),
                    struct_name,
                    STORE_TEMP_NAME,
                    depth
                )?;
                self.write_store_value(module, &value, func_ctx)?;
                writeln!(self.out, ";")?;
                // then iterate the stores
                for (i, member) in members.iter().enumerate() {
                    self.temp_access_chain
                        .push(SubAccess::Offset(member.offset));
                    let sv = StoreValue::TempAccess {
                        depth,
                        base: struct_ty,
                        member_index: i as u32,
                    };
                    self.write_storage_store(module, var_handle, sv, func_ctx, level.next())?;
                    self.temp_access_chain.pop();
                }
                // done
                writeln!(self.out, "{}}}", level)?;
            }
            _ => unreachable!(),
        }
        Ok(())
    }

    pub(super) fn fill_access_chain(
        &mut self,
        module: &crate::Module,
        mut cur_expr: Handle<crate::Expression>,
        func_ctx: &FunctionCtx,
    ) -> Result<Handle<crate::GlobalVariable>, Error> {
        enum AccessIndex {
            Expression(Handle<crate::Expression>),
            Constant(u32),
        }
        enum Parent<'a> {
            Array { stride: u32 },
            Struct(&'a [crate::StructMember]),
        }
        self.temp_access_chain.clear();

        loop {
            let (next_expr, access_index) = match func_ctx.expressions[cur_expr] {
                crate::Expression::GlobalVariable(handle) => return Ok(handle),
                crate::Expression::Access { base, index } => (base, AccessIndex::Expression(index)),
                crate::Expression::AccessIndex { base, index } => {
                    (base, AccessIndex::Constant(index))
                }
                ref other => {
                    return Err(Error::Unimplemented(format!(
                        "Pointer access of {:?}",
                        other
                    )))
                }
            };

            let parent = match *func_ctx.info[next_expr].ty.inner_with(&module.types) {
                crate::TypeInner::Pointer { base, .. } => match module.types[base].inner {
                    crate::TypeInner::Struct { ref members, .. } => Parent::Struct(members),
                    crate::TypeInner::Array { stride, .. } => Parent::Array { stride },
                    crate::TypeInner::Vector { width, .. } => Parent::Array {
                        stride: width as u32,
                    },
                    crate::TypeInner::Matrix { columns, width, .. } => Parent::Array {
                        stride: Alignment::from(columns) * width as u32,
                    },
                    _ => unreachable!(),
                },
                crate::TypeInner::ValuePointer { width, .. } => Parent::Array {
                    stride: width as u32,
                },
                _ => unreachable!(),
            };

            let sub = match (parent, access_index) {
                (Parent::Array { stride }, AccessIndex::Expression(value)) => {
                    SubAccess::Index { value, stride }
                }
                (Parent::Array { stride }, AccessIndex::Constant(index)) => {
                    SubAccess::Offset(stride * index)
                }
                (Parent::Struct(members), AccessIndex::Constant(index)) => {
                    SubAccess::Offset(members[index as usize].offset)
                }
                (Parent::Struct(_), AccessIndex::Expression(_)) => unreachable!(),
            };

            self.temp_access_chain.push(sub);
            cur_expr = next_expr;
        }
    }
}


================================================
FILE: lib/naga/src/back/hlsl/writer.rs
================================================
use super::{
    help::{WrappedArrayLength, WrappedConstructor, WrappedImageQuery, WrappedStructMatrixAccess},
    storage::StoreValue,
    BackendResult, Error, Options,
};
use crate::{
    back,
    proc::{self, NameKey},
    valid, Handle, Module, ScalarKind, ShaderStage, TypeInner,
};
use std::{fmt, mem};

const LOCATION_SEMANTIC: &str = "LOC";
const SPECIAL_CBUF_TYPE: &str = "NagaConstants";
const SPECIAL_CBUF_VAR: &str = "_NagaConstants";
const SPECIAL_BASE_VERTEX: &str = "base_vertex";
const SPECIAL_BASE_INSTANCE: &str = "base_instance";
const SPECIAL_OTHER: &str = "other";

struct EpStructMember {
    name: String,
    ty: Handle<crate::Type>,
    // technically, this should always be `Some`
    binding: Option<crate::Binding>,
    index: u32,
}

/// Structure contains information required for generating
/// wrapped structure of all entry points arguments
struct EntryPointBinding {
    /// Name of the fake EP argument that contains the struct
    /// with all the flattened input data.
    arg_name: String,
    /// Generated structure name
    ty_name: String,
    /// Members of generated structure
    members: Vec<EpStructMember>,
}

pub(super) struct EntryPointInterface {
    /// If `Some`, the input of an entry point is gathered in a special
    /// struct with members sorted by binding.
    /// The `EntryPointBinding::members` array is sorted by index,
    /// so that we can walk it in `write_ep_arguments_initialization`.
    input: Option<EntryPointBinding>,
    /// If `Some`, the output of an entry point is flattened.
    /// The `EntryPointBinding::members` array is sorted by binding,
    /// So that we can walk it in `Statement::Return` handler.
    output: Option<EntryPointBinding>,
}

#[derive(Clone, Eq, PartialEq, PartialOrd, Ord)]
enum InterfaceKey {
    Location(u32),
    BuiltIn(crate::BuiltIn),
    Other,
}

impl InterfaceKey {
    const fn new(binding: Option<&crate::Binding>) -> Self {
        match binding {
            Some(&crate::Binding::Location { location, .. }) => Self::Location(location),
            Some(&crate::Binding::BuiltIn(built_in)) => Self::BuiltIn(built_in),
            None => Self::Other,
        }
    }
}

#[derive(Copy, Clone, PartialEq)]
enum Io {
    Input,
    Output,
}

impl<'a, W: fmt::Write> super::Writer<'a, W> {
    pub fn new(out: W, options: &'a Options) -> Self {
        Self {
            out,
            names: crate::FastHashMap::default(),
            namer: proc::Namer::default(),
            options,
            entry_point_io: Vec::new(),
            named_expressions: crate::NamedExpressions::default(),
            wrapped: super::Wrapped::default(),
            temp_access_chain: Vec::new(),
        }
    }

    fn reset(&mut self, module: &Module) {
        self.names.clear();
        self.namer
            .reset(module, super::keywords::RESERVED, &[], &mut self.names);
        self.entry_point_io.clear();
        self.named_expressions.clear();
        self.wrapped.clear();
    }

    pub fn write(
        &mut self,
        module: &Module,
        module_info: &valid::ModuleInfo,
    ) -> Result<super::ReflectionInfo, Error> {
        self.reset(module);

        // Write special constants, if needed
        if let Some(ref bt) = self.options.special_constants_binding {
            writeln!(self.out, "struct {} {{", SPECIAL_CBUF_TYPE)?;
            writeln!(self.out, "{}int {};", back::INDENT, SPECIAL_BASE_VERTEX)?;
            writeln!(self.out, "{}int {};", back::INDENT, SPECIAL_BASE_INSTANCE)?;
            writeln!(self.out, "{}uint {};", back::INDENT, SPECIAL_OTHER)?;
            writeln!(self.out, "}};")?;
            write!(
                self.out,
                "ConstantBuffer<{}> {}: register(b{}",
                SPECIAL_CBUF_TYPE, SPECIAL_CBUF_VAR, bt.register
            )?;
            if bt.space != 0 {
                write!(self.out, ", space{}", bt.space)?;
            }
            writeln!(self.out, ");")?;
        }

        // Write all constants
        // For example, input wgsl shader:
        // ```wgsl
        // let c_scale: f32 = 1.2;
        // return VertexOutput(uv, vec4<f32>(c_scale * pos, 0.0, 1.0));
        // ```
        //
        // Output shader:
        // ```hlsl
        // static const float c_scale = 1.2;
        // const VertexOutput vertexoutput1 = { vertexinput.uv3, float4((c_scale * vertexinput.pos1), 0.0, 1.0) };
        // ```
        //
        // If we remove `write_global_constant` `c_scale` will be inlined.
        for (handle, constant) in module.constants.iter() {
            if constant.name.is_some() {
                self.write_global_constant(module, &constant.inner, handle)?;
            }
        }

        // Extra newline for readability
        writeln!(self.out)?;

        // Save all entry point output types
        let ep_results = module
            .entry_points
            .iter()
            .map(|ep| (ep.stage, ep.function.result.clone()))
            .collect::<Vec<(ShaderStage, Option<crate::FunctionResult>)>>();

        self.write_all_mat_cx2_typedefs_and_functions(module)?;

        // Write all structs
        for (handle, ty) in module.types.iter() {
            if let TypeInner::Struct { ref members, span } = ty.inner {
                if module.types[members.last().unwrap().ty]
                    .inner
                    .is_dynamically_sized(&module.types)
                {
                    // unsized arrays can only be in storage buffers,
                    // for which we use `ByteAddressBuffer` anyway.
                    continue;
                }

                let ep_result = ep_results.iter().find(|e| {
                    if let Some(ref result) = e.1 {
                        result.ty == handle
                    } else {
                        false
                    }
                });

                self.write_struct(
                    module,
                    handle,
                    members,
                    span,
                    ep_result.map(|r| (r.0, Io::Output)),
                )?;
                writeln!(self.out)?;
            }
        }

        // Write wrapped constructor functions used in constants
        for (_, constant) in module.constants.iter() {
            self.write_wrapped_constructor_function_for_constant(module, constant)?;
        }

        // Write all globals
        for (ty, _) in module.global_variables.iter() {
            self.write_global(module, ty)?;
        }

        if !module.global_variables.is_empty() {
            // Add extra newline for readability
            writeln!(self.out)?;
        }

        // Write all entry points wrapped structs
        for (index, ep) in module.entry_points.iter().enumerate() {
            let ep_name = self.names[&NameKey::EntryPoint(index as u16)].clone();
            let ep_io = self.write_ep_interface(module, &ep.function, ep.stage, &ep_name)?;
            self.entry_point_io.push(ep_io);
        }

        // Write all regular functions
        for (handle, function) in module.functions.iter() {
            let info = &module_info[handle];

            // Check if all of the globals are accessible
            if !self.options.fake_missing_bindings {
                if let Some((var_handle, _)) =
                    module
                        .global_variables
                        .iter()
                        .find(|&(var_handle, var)| match var.binding {
                            Some(ref binding) if !info[var_handle].is_empty() => {
                                self.options.resolve_resource_binding(binding).is_err()
                            }
                            _ => false,
                        })
                {
                    log::info!(
                        "Skipping function {:?} (name {:?}) because global {:?} is inaccessible",
                        handle,
                        function.name,
                        var_handle
                    );
                    continue;
                }
            }

            let ctx = back::FunctionCtx {
                ty: back::FunctionType::Function(handle),
                info,
                expressions: &function.expressions,
                named_expressions: &function.named_expressions,
            };
            let name = self.names[&NameKey::Function(handle)].clone();

            // Write wrapped function for `Expression::ImageQuery` and `Expressions::ArrayLength`
            // before writing all statements and expressions.
            self.write_wrapped_functions(module, &ctx)?;

            self.write_function(module, name.as_str(), function, &ctx)?;

            writeln!(self.out)?;
        }

        let mut entry_point_names = Vec::with_capacity(module.entry_points.len());

        // Write all entry points
        for (index, ep) in module.entry_points.iter().enumerate() {
            let info = module_info.get_entry_point(index);

            if !self.options.fake_missing_bindings {
                let mut ep_error = None;
                for (var_handle, var) in module.global_variables.iter() {
                    match var.binding {
                        Some(ref binding) if !info[var_handle].is_empty() => {
                            if let Err(err) = self.options.resolve_resource_binding(binding) {
                                ep_error = Some(err);
                                break;
                            }
                        }
                        _ => {}
                    }
                }
                if let Some(err) = ep_error {
                    entry_point_names.push(Err(err));
                    continue;
                }
            }

            let ctx = back::FunctionCtx {
                ty: back::FunctionType::EntryPoint(index as u16),
                info,
                expressions: &ep.function.expressions,
                named_expressions: &ep.function.named_expressions,
            };

            // Write wrapped function for `Expression::ImageQuery` and `Expressions::ArrayLength`
            // before writing all statements and expressions.
            self.write_wrapped_functions(module, &ctx)?;

            if ep.stage == ShaderStage::Compute {
                // HLSL is calling workgroup size "num threads"
                let num_threads = ep.workgroup_size;
                writeln!(
                    self.out,
                    "[numthreads({}, {}, {})]",
                    num_threads[0], num_threads[1], num_threads[2]
                )?;
            }

            let name = self.names[&NameKey::EntryPoint(index as u16)].clone();
            self.write_function(module, &name, &ep.function, &ctx)?;

            if index < module.entry_points.len() - 1 {
                writeln!(self.out)?;
            }

            entry_point_names.push(Ok(name));
        }

        Ok(super::ReflectionInfo { entry_point_names })
    }

    fn write_modifier(&mut self, binding: &crate::Binding) -> BackendResult {
        match *binding {
            crate::Binding::BuiltIn(crate::BuiltIn::Position { invariant: true }) => {
                write!(self.out, "precise ")?;
            }
            crate::Binding::Location {
                interpolation,
                sampling,
                ..
            } => {
                if let Some(interpolation) = interpolation {
                    if let Some(string) = interpolation.to_hlsl_str() {
                        write!(self.out, "{} ", string)?
                    }
                }

                if let Some(sampling) = sampling {
                    if let Some(string) = sampling.to_hlsl_str() {
                        write!(self.out, "{} ", string)?
                    }
                }
            }
            _ => {}
        }

        Ok(())
    }

    //TODO: we could force fragment outputs to always go through `entry_point_io.output` path
    // if they are struct, so that the `stage` argument here could be omitted.
    fn write_semantic(
        &mut self,
        binding: &crate::Binding,
        stage: Option<(ShaderStage, Io)>,
    ) -> BackendResult {
        match *binding {
            crate::Binding::BuiltIn(builtin) => {
                let builtin_str = builtin.to_hlsl_str()?;
                write!(self.out, " : {}", builtin_str)?;
            }
            crate::Binding::Location { location, .. } => {
                if stage == Some((crate::ShaderStage::Fragment, Io::Output)) {
                    write!(self.out, " : SV_Target{}", location)?;
                } else {
                    write!(self.out, " : {}{}", LOCATION_SEMANTIC, location)?;
                }
            }
        }

        Ok(())
    }

    fn write_interface_struct(
        &mut self,
        module: &Module,
        shader_stage: (ShaderStage, Io),
        struct_name: String,
        mut members: Vec<EpStructMember>,
    ) -> Result<EntryPointBinding, Error> {
        // Sort the members so that first come the user-defined varyings
        // in ascending locations, and then built-ins. This allows VS and FS
        // interfaces to match with regards to order.
        members.sort_by_key(|m| InterfaceKey::new(m.binding.as_ref()));

        write!(self.out, "struct {}", struct_name)?;
        writeln!(self.out, " {{")?;
        for m in members.iter() {
            write!(self.out, "{}", back::INDENT)?;
            if let Some(ref binding) = m.binding {
                self.write_modifier(binding)?;
            }
            self.write_type(module, m.ty)?;
            write!(self.out, " {}", &m.name)?;
            if let Some(ref binding) = m.binding {
                self.write_semantic(binding, Some(shader_stage))?;
            }
            writeln!(self.out, ";")?;
        }
        writeln!(self.out, "}};")?;
        writeln!(self.out)?;

        match shader_stage.1 {
            Io::Input => {
                // bring back the original order
                members.sort_by_key(|m| m.index);
            }
            Io::Output => {
                // keep it sorted by binding
            }
        }

        Ok(EntryPointBinding {
            arg_name: self.namer.call(struct_name.to_lowercase().as_str()),
            ty_name: struct_name,
            members,
        })
    }

    /// Flatten all entry point arguments into a single struct.
    /// This is needed since we need to re-order them: first placing user locations,
    /// then built-ins.
    fn write_ep_input_struct(
        &mut self,
        module: &Module,
        func: &crate::Function,
        stage: ShaderStage,
        entry_point_name: &str,
    ) -> Result<EntryPointBinding, Error> {
        let struct_name = format!("{:?}Input_{}", stage, entry_point_name);

        let mut fake_members = Vec::new();
        for arg in func.arguments.iter() {
            match module.types[arg.ty].inner {
                TypeInner::Struct { ref members, .. } => {
                    for member in members.iter() {
                        let name = self.namer.call_or(&member.name, "member");
                        let index = fake_members.len() as u32;
                        fake_members.push(EpStructMember {
                            name,
                            ty: member.ty,
                            binding: member.binding.clone(),
                            index,
                        });
                    }
                }
                _ => {
                    let member_name = self.namer.call_or(&arg.name, "member");
                    let index = fake_members.len() as u32;
                    fake_members.push(EpStructMember {
                        name: member_name,
                        ty: arg.ty,
                        binding: arg.binding.clone(),
                        index,
                    });
                }
            }
        }

        self.write_interface_struct(module, (stage, Io::Input), struct_name, fake_members)
    }

    /// Flatten all entry point results into a single struct.
    /// This is needed since we need to re-order them: first placing user locations,
    /// then built-ins.
    fn write_ep_output_struct(
        &mut self,
        module: &Module,
        result: &crate::FunctionResult,
        stage: ShaderStage,
        entry_point_name: &str,
    ) -> Result<EntryPointBinding, Error> {
        let struct_name = format!("{:?}Output_{}", stage, entry_point_name);

        let mut fake_members = Vec::new();
        let empty = [];
        let members = match module.types[result.ty].inner {
            TypeInner::Struct { ref members, .. } => members,
            ref other => {
                log::error!("Unexpected {:?} output type without a binding", other);
                &empty[..]
            }
        };

        for member in members.iter() {
            let member_name = self.namer.call_or(&member.name, "member");
            let index = fake_members.len() as u32;
            fake_members.push(EpStructMember {
                name: member_name,
                ty: member.ty,
                binding: member.binding.clone(),
                index,
            });
        }

        self.write_interface_struct(module, (stage, Io::Output), struct_name, fake_members)
    }

    /// Writes special interface structures for an entry point. The special structures have
    /// all the fields flattened into them and sorted by binding. They are only needed for
    /// VS outputs and FS inputs, so that these interfaces match.
    fn write_ep_interface(
        &mut self,
        module: &Module,
        func: &crate::Function,
        stage: ShaderStage,
        ep_name: &str,
    ) -> Result<EntryPointInterface, Error> {
        Ok(EntryPointInterface {
            input: if !func.arguments.is_empty() && stage == ShaderStage::Fragment {
                Some(self.write_ep_input_struct(module, func, stage, ep_name)?)
            } else {
                None
            },
            output: match func.result {
                Some(ref fr) if fr.binding.is_none() && stage == ShaderStage::Vertex => {
                    Some(self.write_ep_output_struct(module, fr, stage, ep_name)?)
                }
                _ => None,
            },
        })
    }

    /// Write an entry point preface that initializes the arguments as specified in IR.
    fn write_ep_arguments_initialization(
        &mut self,
        module: &Module,
        func: &crate::Function,
        ep_index: u16,
    ) -> BackendResult {
        let ep_input = match self.entry_point_io[ep_index as usize].input.take() {
            Some(ep_input) => ep_input,
            None => return Ok(()),
        };
        let mut fake_iter = ep_input.members.iter();
        for (arg_index, arg) in func.arguments.iter().enumerate() {
            write!(self.out, "{}", back::INDENT)?;
            self.write_type(module, arg.ty)?;
            let arg_name = &self.names[&NameKey::EntryPointArgument(ep_index, arg_index as u32)];
            write!(self.out, " {}", arg_name)?;
            match module.types[arg.ty].inner {
                TypeInner::Array { base, size, .. } => {
                    self.write_array_size(module, base, size)?;
                    let fake_member = fake_iter.next().unwrap();
                    writeln!(self.out, " = {}.{};", ep_input.arg_name, fake_member.name)?;
                }
                TypeInner::Struct { ref members, .. } => {
                    write!(self.out, " = {{ ")?;
                    for index in 0..members.len() {
                        if index != 0 {
                            write!(self.out, ", ")?;
                        }
                        let fake_member = fake_iter.next().unwrap();
                        write!(self.out, "{}.{}", ep_input.arg_name, fake_member.name)?;
                    }
                    writeln!(self.out, " }};")?;
                }
                _ => {
                    let fake_member = fake_iter.next().unwrap();
                    writeln!(self.out, " = {}.{};", ep_input.arg_name, fake_member.name)?;
                }
            }
        }
        assert!(fake_iter.next().is_none());
        Ok(())
    }

    /// Helper method used to write global variables
    /// # Notes
    /// Always adds a newline
    fn write_global(
        &mut self,
        module: &Module,
        handle: Handle<crate::GlobalVariable>,
    ) -> BackendResult {
        let global = &module.global_variables[handle];
        let inner = &module.types[global.ty].inner;

        if let Some(ref binding) = global.binding {
            if let Err(err) = self.options.resolve_resource_binding(binding) {
                log::info!(
                    "Skipping global {:?} (name {:?}) for being inaccessible: {}",
                    handle,
                    global.name,
                    err,
                );
                return Ok(());
            }
        }

        // https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-variable-register
        let register_ty = match global.space {
            crate::AddressSpace::Function => unreachable!("Function address space"),
            crate::AddressSpace::Private => {
                write!(self.out, "static ")?;
                self.write_type(module, global.ty)?;
                ""
            }
            crate::AddressSpace::WorkGroup => {
                write!(self.out, "groupshared ")?;
                self.write_type(module, global.ty)?;
                ""
            }
            crate::AddressSpace::Uniform => {
                // constant buffer declarations are expected to be inlined, e.g.
                // `cbuffer foo: register(b0) { field1: type1; }`
                write!(self.out, "cbuffer")?;
                "b"
            }
            crate::AddressSpace::Storage { access } => {
                let (prefix, register) = if access.contains(crate::StorageAccess::STORE) {
                    ("RW", "u")
                } else {
                    ("", "t")
                };
                write!(self.out, "{}ByteAddressBuffer", prefix)?;
                register
            }
            crate::AddressSpace::Handle => {
                let handle_ty = match *inner {
                    TypeInner::BindingArray { ref base, .. } => &module.types[*base].inner,
                    _ => inner,
                };

                let register = match *handle_ty {
                    TypeInner::Sampler { .. } => "s",
                    // all storage textures are UAV, unconditionally
                    TypeInner::Image {
                        class: crate::ImageClass::Storage { .. },
                        ..
                    } => "u",
                    _ => "t",
                };
                self.write_type(module, global.ty)?;
                register
            }
            crate::AddressSpace::PushConstant => {
                // The type of the push constants will be wrapped in `ConstantBuffer`
                write!(self.out, "ConstantBuffer<")?;
                "b"
            }
        };

        // If the global is a push constant write the type now because it will be a
        // generic argument to `ConstantBuffer`
        if global.space == crate::AddressSpace::PushConstant {
            self.write_global_type(module, global.ty)?;

            // need to write the array size if the type was emitted with `write_type`
            if let TypeInner::Array { base, size, .. } = module.types[global.ty].inner {
                self.write_array_size(module, base, size)?;
            }

            // Close the angled brackets for the generic argument
            write!(self.out, ">")?;
        }

        let name = &self.names[&NameKey::GlobalVariable(handle)];
        write!(self.out, " {}", name)?;

        // Push constants need to be assigned a binding explicitly by the consumer
        // since naga has no way to know the binding from the shader alone
        if global.space == crate::AddressSpace::PushConstant {
            let target = self
                .options
                .push_constants_target
                .as_ref()
                .expect("No bind target was defined for the push constants block");
            write!(self.out, ": register(b{}", target.register)?;
            if target.space != 0 {
                write!(self.out, ", space{}", target.space)?;
            }
            write!(self.out, ")")?;
        }

        if let Some(ref binding) = global.binding {
            // this was already resolved earlier when we started evaluating an entry point.
            let bt = self.options.resolve_resource_binding(binding).unwrap();

            // need to write the binding array size if the type was emitted with `write_type`
            if let TypeInner::BindingArray { base, size, .. } = module.types[global.ty].inner {
                if let Some(overridden_size) = bt.binding_array_size {
                    write!(self.out, "[{}]", overridden_size)?;
                } else {
                    self.write_array_size(module, base, size)?;
                }
            }

            write!(self.out, " : register({}{}", register_ty, bt.register)?;
            if bt.space != 0 {
                write!(self.out, ", space{}", bt.space)?;
            }
            write!(self.out, ")")?;
        } else {
            // need to write the array size if the type was emitted with `write_type`
            if let TypeInner::Array { base, size, .. } = module.types[global.ty].inner {
                self.write_array_size(module, base, size)?;
            }
            if global.space == crate::AddressSpace::Private {
                write!(self.out, " = ")?;
                if let Some(init) = global.init {
                    self.write_constant(module, init)?;
                } else {
                    self.write_default_init(module, global.ty)?;
                }
            }
        }

        if global.space == crate::AddressSpace::Uniform {
            write!(self.out, " {{ ")?;

            self.write_global_type(module, global.ty)?;

            write!(
                self.out,
                " {}",
                &self.names[&NameKey::GlobalVariable(handle)]
            )?;

            // need to write the array size if the type was emitted with `write_type`
            if let TypeInner::Array { base, size, .. } = module.types[global.ty].inner {
                self.write_array_size(module, base, size)?;
            }

            writeln!(self.out, "; }}")?;
        } else {
            writeln!(self.out, ";")?;
        }

        Ok(())
    }

    /// Helper method used to write global constants
    ///
    /// # Notes
    /// Ends in a newline
    fn write_global_constant(
        &mut self,
        module: &Module,
        inner: &crate::ConstantInner,
        handle: Handle<crate::Constant>,
    ) -> BackendResult {
        write!(self.out, "static const ")?;
        match *inner {
            crate::ConstantInner::Scalar {
                width: _,
                ref value,
            } => {
                // Write type
                let ty_str = match *value {
                    crate::ScalarValue::Sint(_) => "int",
                    crate::ScalarValue::Uint(_) => "uint",
                    crate::ScalarValue::Float(_) => "float",
                    crate::ScalarValue::Bool(_) => "bool",
                };
                let name = &self.names[&NameKey::Constant(handle)];
                write!(self.out, "{} {} = ", ty_str, name)?;

                // Second match required to avoid heap allocation by `format!()`
                match *value {
                    crate::ScalarValue::Sint(value) => write!(self.out, "{}", value)?,
                    crate::ScalarValue::Uint(value) => write!(self.out, "{}", value)?,
                    crate::ScalarValue::Float(value) => {
                        // Floats are written using `Debug` instead of `Display` because it always appends the
                        // decimal part even it's zero
                        write!(self.out, "{:?}", value)?
                    }
                    crate::ScalarValue::Bool(value) => write!(self.out, "{}", value)?,
                };
            }
            crate::ConstantInner::Composite { ty, ref components } => {
                self.write_type(module, ty)?;
                let name = &self.names[&NameKey::Constant(handle)];
                write!(self.out, " {} = ", name)?;
                self.write_composite_constant(module, ty, components)?;
            }
        }
        writeln!(self.out, ";")?;
        Ok(())
    }

    pub(super) fn write_array_size(
        &mut self,
        module: &Module,
        base: Handle<crate::Type>,
        size: crate::ArraySize,
    ) -> BackendResult {
        write!(self.out, "[")?;

        // Write the array size
        // Writes nothing if `ArraySize::Dynamic`
        // Panics if `ArraySize::Constant` has a constant that isn't an sint or uint
        match size {
            crate::ArraySize::Constant(const_handle) => {
                let size = module.constants[const_handle].to_array_length().unwrap();
                write!(self.out, "{}", size)?;
            }
            crate::ArraySize::Dynamic => {}
        }

        write!(self.out, "]")?;

        if let TypeInner::Array {
            base: next_base,
            size: next_size,
            ..
        } = module.types[base].inner
        {
            self.write_array_size(module, next_base, next_size)?;
        }

        Ok(())
    }

    /// Helper method used to write structs
    ///
    /// # Notes
    /// Ends in a newline
    fn write_struct(
        &mut self,
        module: &Module,
        handle: Handle<crate::Type>,
        members: &[crate::StructMember],
        span: u32,
        shader_stage: Option<(ShaderStage, Io)>,
    ) -> BackendResult {
        // Write struct name
        let struct_name = &self.names[&NameKey::Type(handle)];
        writeln!(self.out, "struct {} {{", struct_name)?;

        let mut last_offset = 0;
        for (index, member) in members.iter().enumerate() {
            if member.binding.is_none() && member.offset > last_offset {
                // using int as padding should work as long as the backend
                // doesn't support a type that's less than 4 bytes in size
                // (Error::UnsupportedScalar catches this)
                let padding = (member.offset - last_offset) / 4;
                for i in 0..padding {
                    writeln!(self.out, "{}int _pad{}_{};", back::INDENT, index, i)?;
                }
            }
            let ty_inner = &module.types[member.ty].inner;
            last_offset = member.offset
                + ty_inner
                    .try_size_hlsl(&module.types, &module.constants)
                    .unwrap();

            // The indentation is only for readability
            write!(self.out, "{}", back::INDENT)?;

            match module.types[member.ty].inner {
                TypeInner::Array { base, size, .. } => {
                    // HLSL arrays are written as `type name[size]`

                    self.write_global_type(module, member.ty)?;

                    // Write `name`
                    write!(
                        self.out,
                        " {}",
                        &self.names[&NameKey::StructMember(handle, index as u32)]
                    )?;
                    // Write [size]
                    self.write_array_size(module, base, size)?;
                }
                // We treat matrices of the form `matCx2` as a sequence of C `vec2`s.
                // See the module-level block comment in mod.rs for details.
                TypeInner::Matrix {
                    rows,
                    columns,
                    width,
                } if member.binding.is_none() && rows == crate::VectorSize::Bi => {
                    let vec_ty = crate::TypeInner::Vector {
                        size: rows,
                        kind: crate::ScalarKind::Float,
                        width,
                    };
                    let field_name_key = NameKey::StructMember(handle, index as u32);

                    for i in 0..columns as u8 {
                        if i != 0 {
                            write!(self.out, "; ")?;
                        }
                        self.write_value_type(module, &vec_ty)?;
                        write!(self.out, " {}_{}", &self.names[&field_name_key], i)?;
                    }
                }
                _ => {
                    // Write modifier before type
                    if let Some(ref binding) = member.binding {
                        self.write_modifier(binding)?;
                    }

                    // Even though Naga IR matrices are column-major, we must describe
                    // matrices passed from the CPU as being in row-major order.
                    // See the module-level block comment in mod.rs for details.
                    if let TypeInner::Matrix { .. } = module.types[member.ty].inner {
                        write!(self.out, "row_major ")?;
                    }

                    // Write the member type and name
                    self.write_type(module, member.ty)?;
                    write!(
                        self.out,
                        " {}",
                        &self.names[&NameKey::StructMember(handle, index as u32)]
                    )?;
                }
            }

            if let Some(ref binding) = member.binding {
                self.write_semantic(binding, shader_stage)?;
            };
            writeln!(self.out, ";")?;
        }

        // add padding at the end since sizes of types don't get rounded up to their alignment in HLSL
        if members.last().unwrap().binding.is_none() && span > last_offset {
            let padding = (span - last_offset) / 4;
            for i in 0..padding {
                writeln!(self.out, "{}int _end_pad_{};", back::INDENT, i)?;
            }
        }

        writeln!(self.out, "}};")?;
        Ok(())
    }

    /// Helper method used to write global/structs non image/sampler types
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    pub(super) fn write_global_type(
        &mut self,
        module: &Module,
        ty: Handle<crate::Type>,
    ) -> BackendResult {
        let matrix_data = get_inner_matrix_data(module, ty);

        // We treat matrices of the form `matCx2` as a sequence of C `vec2`s.
        // See the module-level block comment in mod.rs for details.
        if let Some(MatrixType {
            columns,
            rows: crate::VectorSize::Bi,
            width: 4,
        }) = matrix_data
        {
            write!(self.out, "__mat{}x2", columns as u8)?;
        } else {
            // Even though Naga IR matrices are column-major, we must describe
            // matrices passed from the CPU as being in row-major order.
            // See the module-level block comment in mod.rs for details.
            if matrix_data.is_some() {
                write!(self.out, "row_major ")?;
            }

            self.write_type(module, ty)?;
        }

        Ok(())
    }

    /// Helper method used to write non image/sampler types
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    pub(super) fn write_type(&mut self, module: &Module, ty: Handle<crate::Type>) -> BackendResult {
        let inner = &module.types[ty].inner;
        match *inner {
            TypeInner::Struct { .. } => write!(self.out, "{}", self.names[&NameKey::Type(ty)])?,
            // hlsl array has the size separated from the base type
            TypeInner::Array { base, .. } | TypeInner::BindingArray { base, .. } => {
                self.write_type(module, base)?
            }
            ref other => self.write_value_type(module, other)?,
        }

        Ok(())
    }

    /// Helper method used to write value types
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    pub(super) fn write_value_type(&mut self, module: &Module, inner: &TypeInner) -> BackendResult {
        match *inner {
            TypeInner::Scalar { kind, width } | TypeInner::Atomic { kind, width } => {
                write!(self.out, "{}", kind.to_hlsl_str(width)?)?;
            }
            TypeInner::Vector { size, kind, width } => {
                write!(
                    self.out,
                    "{}{}",
                    kind.to_hlsl_str(width)?,
                    back::vector_size_str(size)
                )?;
            }
            TypeInner::Matrix {
                columns,
                rows,
                width,
            } => {
                // The IR supports only float matrix
                // https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-matrix

                // Because of the implicit transpose all matrices have in HLSL, we need to transpose the size as well.
                write!(
                    self.out,
                    "{}{}x{}",
                    crate::ScalarKind::Float.to_hlsl_str(width)?,
                    back::vector_size_str(columns),
                    back::vector_size_str(rows),
                )?;
            }
            TypeInner::Image {
                dim,
                arrayed,
                class,
            } => {
                self.write_image_type(dim, arrayed, class)?;
            }
            TypeInner::Sampler { comparison } => {
                let sampler = if comparison {
                    "SamplerComparisonState"
                } else {
                    "SamplerState"
                };
                write!(self.out, "{}", sampler)?;
            }
            // HLSL arrays are written as `type name[size]`
            // Current code is written arrays only as `[size]`
            // Base `type` and `name` should be written outside
            TypeInner::Array { base, size, .. } | TypeInner::BindingArray { base, size } => {
                self.write_array_size(module, base, size)?;
            }
            _ => {
                return Err(Error::Unimplemented(format!(
                    "write_value_type {:?}",
                    inner
                )))
            }
        }

        Ok(())
    }

    /// Helper method used to write functions
    /// # Notes
    /// Ends in a newline
    fn write_function(
        &mut self,
        module: &Module,
        name: &str,
        func: &crate::Function,
        func_ctx: &back::FunctionCtx<'_>,
    ) -> BackendResult {
        // Function Declaration Syntax - https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-function-syntax

        // Write modifier
        if let Some(crate::FunctionResult {
            binding:
                Some(
                    ref binding @ crate::Binding::BuiltIn(crate::BuiltIn::Position {
                        invariant: true,
                    }),
                ),
            ..
        }) = func.result
        {
            self.write_modifier(binding)?;
        }

        // Write return type
        if let Some(ref result) = func.result {
            match func_ctx.ty {
                back::FunctionType::Function(_) => {
                    self.write_type(module, result.ty)?;
                }
                back::FunctionType::EntryPoint(index) => {
                    if let Some(ref ep_output) = self.entry_point_io[index as usize].output {
                        write!(self.out, "{}", ep_output.ty_name)?;
                    } else {
                        self.write_type(module, result.ty)?;
                    }
                }
            }
        } else {
            write!(self.out, "void")?;
        }

        // Write function name
        write!(self.out, " {}(", name)?;

        // Write function arguments for non entry point functions
        match func_ctx.ty {
            back::FunctionType::Function(handle) => {
                for (index, arg) in func.arguments.iter().enumerate() {
                    if index != 0 {
                        write!(self.out, ", ")?;
                    }
                    // Write argument type
                    let arg_ty = match module.types[arg.ty].inner {
                        // pointers in function arguments are expected and resolve to `inout`
                        TypeInner::Pointer { base, .. } => {
                            //TODO: can we narrow this down to just `in` when possible?
                            write!(self.out, "inout ")?;
                            base
                        }
                        _ => arg.ty,
                    };
                    self.write_type(module, arg_ty)?;

                    let argument_name =
                        &self.names[&NameKey::FunctionArgument(handle, index as u32)];

                    // Write argument name. Space is important.
                    write!(self.out, " {}", argument_name)?;
                    if let TypeInner::Array { base, size, .. } = module.types[arg.ty].inner {
                        self.write_array_size(module, base, size)?;
                    }
                }
            }
            back::FunctionType::EntryPoint(ep_index) => {
                if let Some(ref ep_input) = self.entry_point_io[ep_index as usize].input {
                    write!(self.out, "{} {}", ep_input.ty_name, ep_input.arg_name,)?;
                } else {
                    let stage = module.entry_points[ep_index as usize].stage;
                    for (index, arg) in func.arguments.iter().enumerate() {
                        if index != 0 {
                            write!(self.out, ", ")?;
                        }
                        self.write_type(module, arg.ty)?;

                        let argument_name =
                            &self.names[&NameKey::EntryPointArgument(ep_index, index as u32)];

                        write!(self.out, " {}", argument_name)?;
                        if let TypeInner::Array { base, size, .. } = module.types[arg.ty].inner {
                            self.write_array_size(module, base, size)?;
                        }

                        if let Some(ref binding) = arg.binding {
                            self.write_semantic(binding, Some((stage, Io::Input)))?;
                        }
                    }
                }
            }
        }
        // Ends of arguments
        write!(self.out, ")")?;

        // Write semantic if it present
        if let back::FunctionType::EntryPoint(index) = func_ctx.ty {
            let stage = module.entry_points[index as usize].stage;
            if let Some(crate::FunctionResult {
                binding: Some(ref binding),
                ..
            }) = func.result
            {
                self.write_semantic(binding, Some((stage, Io::Output)))?;
            }
        }

        // Function body start
        writeln!(self.out)?;
        writeln!(self.out, "{{")?;

        if let back::FunctionType::EntryPoint(index) = func_ctx.ty {
            self.write_ep_arguments_initialization(module, func, index)?;
        }

        // Write function local variables
        for (handle, local) in func.local_variables.iter() {
            // Write indentation (only for readability)
            write!(self.out, "{}", back::INDENT)?;

            // Write the local name
            // The leading space is important
            self.write_type(module, local.ty)?;
            write!(self.out, " {}", self.names[&func_ctx.name_key(handle)])?;
            // Write size for array type
            if let TypeInner::Array { base, size, .. } = module.types[local.ty].inner {
                self.write_array_size(module, base, size)?;
            }

            write!(self.out, " = ")?;
            // Write the local initializer if needed
            if let Some(init) = local.init {
                // Put the equal signal only if there's a initializer
                // The leading and trailing spaces aren't needed but help with readability

                // Write the constant
                // `write_constant` adds no trailing or leading space/newline
                self.write_constant(module, init)?;
            } else {
                // Zero initialize local variables
                self.write_default_init(module, local.ty)?;
            }

            // Finish the local with `;` and add a newline (only for readability)
            writeln!(self.out, ";")?
        }

        if !func.local_variables.is_empty() {
            writeln!(self.out)?;
        }

        // Write the function body (statement list)
        for sta in func.body.iter() {
            // The indentation should always be 1 when writing the function body
            self.write_stmt(module, sta, func_ctx, back::Level(1))?;
        }

        writeln!(self.out, "}}")?;

        self.named_expressions.clear();

        Ok(())
    }

    /// Helper method used to write statements
    ///
    /// # Notes
    /// Always adds a newline
    fn write_stmt(
        &mut self,
        module: &Module,
        stmt: &crate::Statement,
        func_ctx: &back::FunctionCtx<'_>,
        level: back::Level,
    ) -> BackendResult {
        use crate::Statement;

        match *stmt {
            Statement::Emit(ref range) => {
                for handle in range.clone() {
                    let info = &func_ctx.info[handle];
                    let ptr_class = info.ty.inner_with(&module.types).pointer_space();
                    let expr_name = if ptr_class.is_some() {
                        // HLSL can't save a pointer-valued expression in a variable,
                        // but we shouldn't ever need to: they should never be named expressions,
                        // and none of the expression types flagged by bake_ref_count can be pointer-valued.
                        None
                    } else if let Some(name) = func_ctx.named_expressions.get(&handle) {
                        // Front end provides names for all variables at the start of writing.
                        // But we write them to step by step. We need to recache them
                        // Otherwise, we could accidentally write variable name instead of full expression.
                        // Also, we use sanitized names! It defense backend from generating variable with name from reserved keywords.
                        Some(self.namer.call(name))
                    } else if info.ref_count == 0 {
                        Some(self.namer.call(""))
                    } else {
                        let min_ref_count = func_ctx.expressions[handle].bake_ref_count();
                        if min_ref_count <= info.ref_count {
                            Some(format!("_expr{}", handle.index()))
                        } else {
                            None
                        }
                    };

                    if let Some(name) = expr_name {
                        write!(self.out, "{}", level)?;
                        self.write_named_expr(module, handle, name, func_ctx)?;
                    }
                }
            }
            // TODO: copy-paste from glsl-out
            Statement::Block(ref block) => {
                write!(self.out, "{}", level)?;
                writeln!(self.out, "{{")?;
                for sta in block.iter() {
                    // Increase the indentation to help with readability
                    self.write_stmt(module, sta, func_ctx, level.next())?
                }
                writeln!(self.out, "{}}}", level)?
            }
            // TODO: copy-paste from glsl-out
            Statement::If {
                condition,
                ref accept,
                ref reject,
            } => {
                write!(self.out, "{}", level)?;
                write!(self.out, "if (")?;
                self.write_expr(module, condition, func_ctx)?;
                writeln!(self.out, ") {{")?;

                let l2 = level.next();
                for sta in accept {
                    // Increase indentation to help with readability
                    self.write_stmt(module, sta, func_ctx, l2)?;
                }

                // If there are no statements in the reject block we skip writing it
                // This is only for readability
                if !reject.is_empty() {
                    writeln!(self.out, "{}}} else {{", level)?;

                    for sta in reject {
                        // Increase indentation to help with readability
                        self.write_stmt(module, sta, func_ctx, l2)?;
                    }
                }

                writeln!(self.out, "{}}}", level)?
            }
            // TODO: copy-paste from glsl-out
            Statement::Kill => writeln!(self.out, "{}discard;", level)?,
            Statement::Return { value: None } => {
                writeln!(self.out, "{}return;", level)?;
            }
            Statement::Return { value: Some(expr) } => {
                let base_ty_res = &func_ctx.info[expr].ty;
                let mut resolved = base_ty_res.inner_with(&module.types);
                if let TypeInner::Pointer { base, space: _ } = *resolved {
                    resolved = &module.types[base].inner;
                }

                if let TypeInner::Struct { .. } = *resolved {
                    // We can safely unwrap here, since we now we working with struct
                    let ty = base_ty_res.handle().unwrap();
                    let struct_name = &self.names[&NameKey::Type(ty)];
                    let variable_name = self.namer.call(&struct_name.to_lowercase());
                    write!(
                        self.out,
                        "{}const {} {} = ",
                        level, struct_name, variable_name,
                    )?;
                    self.write_expr(module, expr, func_ctx)?;
                    writeln!(self.out, ";")?;

                    // for entry point returns, we may need to reshuffle the outputs into a different struct
                    let ep_output = match func_ctx.ty {
                        back::FunctionType::Function(_) => None,
                        back::FunctionType::EntryPoint(index) => {
                            self.entry_point_io[index as usize].output.as_ref()
                        }
                    };
                    let final_name = match ep_output {
                        Some(ep_output) => {
                            let final_name = self.namer.call(&variable_name);
                            write!(
                                self.out,
                                "{}const {} {} = {{ ",
                                level, ep_output.ty_name, final_name,
                            )?;
                            for (index, m) in ep_output.members.iter().enumerate() {
                                if index != 0 {
                                    write!(self.out, ", ")?;
                                }
                                let member_name = &self.names[&NameKey::StructMember(ty, m.index)];
                                write!(self.out, "{}.{}", variable_name, member_name)?;
                            }
                            writeln!(self.out, " }};")?;
                            final_name
                        }
                        None => variable_name,
                    };
                    writeln!(self.out, "{}return {};", level, final_name)?;
                } else {
                    write!(self.out, "{}return ", level)?;
                    self.write_expr(module, expr, func_ctx)?;
                    writeln!(self.out, ";")?
                }
            }
            Statement::Store { pointer, value } => {
                let ty_inner = func_ctx.info[pointer].ty.inner_with(&module.types);
                if let Some(crate::AddressSpace::Storage { .. }) = ty_inner.pointer_space() {
                    let var_handle = self.fill_access_chain(module, pointer, func_ctx)?;
                    self.write_storage_store(
                        module,
                        var_handle,
                        StoreValue::Expression(value),
                        func_ctx,
                        level,
                    )?;
                } else {
                    // We treat matrices of the form `matCx2` as a sequence of C `vec2`s.
                    // See the module-level block comment in mod.rs for details.
                    //
                    // We handle matrix Stores here directly (including sub accesses for Vectors and Scalars).
                    // Loads are handled by `Expression::AccessIndex` (since sub accesses work fine for Loads).
                    struct MatrixAccess {
                        base: Handle<crate::Expression>,
                        index: u32,
                    }
                    enum Index {
                        Expression(Handle<crate::Expression>),
                        Static(u32),
                    }

                    let get_members = |expr: Handle<crate::Expression>| {
                        let base_ty_res = &func_ctx.info[expr].ty;
                        let resolved = base_ty_res.inner_with(&module.types);
                        match *resolved {
                            TypeInner::Pointer { base, .. } => match module.types[base].inner {
                                TypeInner::Struct { ref members, .. } => Some(members),
                                _ => None,
                            },
                            _ => None,
                        }
                    };

                    let mut matrix = None;
                    let mut vector = None;
                    let mut scalar = None;

                    let mut current_expr = pointer;
                    for _ in 0..3 {
                        let resolved = func_ctx.info[current_expr].ty.inner_with(&module.types);

                        match (resolved, &func_ctx.expressions[current_expr]) {
                            (
                                &TypeInner::Pointer { base: ty, .. },
                                &crate::Expression::AccessIndex { base, index },
                            ) if matches!(
                                module.types[ty].inner,
                                TypeInner::Matrix {
                                    rows: crate::VectorSize::Bi,
                                    ..
                                }
                            ) && get_members(base)
                                .map(|members| members[index as usize].binding.is_none())
                                == Some(true) =>
                            {
                                matrix = Some(MatrixAccess { base, index });
                                break;
                            }
                            (
                                &TypeInner::ValuePointer {
                                    size: Some(crate::VectorSize::Bi),
                                    ..
                                },
                                &crate::Expression::Access { base, index },
                            ) => {
                                vector = Some(Index::Expression(index));
                                current_expr = base;
                            }
                            (
                                &TypeInner::ValuePointer {
                                    size: Some(crate::VectorSize::Bi),
                                    ..
                                },
                                &crate::Expression::AccessIndex { base, index },
                            ) => {
                                vector = Some(Index::Static(index));
                                current_expr = base;
                            }
                            (
                                &TypeInner::ValuePointer { size: None, .. },
                                &crate::Expression::Access { base, index },
                            ) => {
                                scalar = Some(Index::Expression(index));
                                current_expr = base;
                            }
                            (
                                &TypeInner::ValuePointer { size: None, .. },
                                &crate::Expression::AccessIndex { base, index },
                            ) => {
                                scalar = Some(Index::Static(index));
                                current_expr = base;
                            }
                            _ => break,
                        }
                    }

                    write!(self.out, "{}", level)?;

                    if let Some(MatrixAccess { index, base }) = matrix {
                        let base_ty_res = &func_ctx.info[base].ty;
                        let resolved = base_ty_res.inner_with(&module.types);
                        let ty = match *resolved {
                            TypeInner::Pointer { base, .. } => base,
                            _ => base_ty_res.handle().unwrap(),
                        };

                        if let Some(Index::Static(vec_index)) = vector {
                            self.write_expr(module, base, func_ctx)?;
                            write!(
                                self.out,
                                ".{}_{}",
                                &self.names[&NameKey::StructMember(ty, index)],
                                vec_index
                            )?;

                            if let Some(scalar_index) = scalar {
                                write!(self.out, "[")?;
                                match scalar_index {
                                    Index::Static(index) => {
                                        write!(self.out, "{}", index)?;
                                    }
                                    Index::Expression(index) => {
                                        self.write_expr(module, index, func_ctx)?;
                                    }
                                }
                                write!(self.out, "]")?;
                            }

                            write!(self.out, " = ")?;
                            self.write_expr(module, value, func_ctx)?;
                            writeln!(self.out, ";")?;
                        } else {
                            let access = WrappedStructMatrixAccess { ty, index };
                            match (&vector, &scalar) {
                                (&Some(_), &Some(_)) => {
                                    self.write_wrapped_struct_matrix_set_scalar_function_name(
                                        access,
                                    )?;
                                }
                                (&Some(_), &None) => {
                                    self.write_wrapped_struct_matrix_set_vec_function_name(access)?;
                                }
                                (&None, _) => {
                                    self.write_wrapped_struct_matrix_set_function_name(access)?;
                                }
                            }

                            write!(self.out, "(")?;
                            self.write_expr(module, base, func_ctx)?;
                            write!(self.out, ", ")?;
                            self.write_expr(module, value, func_ctx)?;

                            if let Some(Index::Expression(vec_index)) = vector {
                                write!(self.out, ", ")?;
                                self.write_expr(module, vec_index, func_ctx)?;

                                if let Some(scalar_index) = scalar {
                                    write!(self.out, ", ")?;
                                    match scalar_index {
                                        Index::Static(index) => {
                                            write!(self.out, "{}", index)?;
                                        }
                                        Index::Expression(index) => {
                                            self.write_expr(module, index, func_ctx)?;
                                        }
                                    }
                                }
                            }
                            writeln!(self.out, ");")?;
                        }
                    } else {
                        // We handle `Store`s to __matCx2 column vectors and scalar elements via
                        // the previously injected functions __set_col_of_matCx2 / __set_el_of_matCx2.
                        struct MatrixData {
                            columns: crate::VectorSize,
                            base: Handle<crate::Expression>,
                        }

                        enum Index {
                            Expression(Handle<crate::Expression>),
                            Static(u32),
                        }

                        let mut matrix = None;
                        let mut vector = None;
                        let mut scalar = None;

                        let mut current_expr = pointer;
                        for _ in 0..3 {
                            let resolved = func_ctx.info[current_expr].ty.inner_with(&module.types);
                            match (resolved, &func_ctx.expressions[current_expr]) {
                                (
                                    &TypeInner::ValuePointer {
                                        size: Some(crate::VectorSize::Bi),
                                        ..
                                    },
                                    &crate::Expression::Access { base, index },
                                ) => {
                                    vector = Some(index);
                                    current_expr = base;
                                }
                                (
                                    &TypeInner::ValuePointer { size: None, .. },
                                    &crate::Expression::Access { base, index },
                                ) => {
                                    scalar = Some(Index::Expression(index));
                                    current_expr = base;
                                }
                                (
                                    &TypeInner::ValuePointer { size: None, .. },
                                    &crate::Expression::AccessIndex { base, index },
                                ) => {
                                    scalar = Some(Index::Static(index));
                                    current_expr = base;
                                }
                                _ => {
                                    if let Some(MatrixType {
                                        columns,
                                        rows: crate::VectorSize::Bi,
                                        width: 4,
                                    }) = get_inner_matrix_of_struct_array_member(
                                        module,
                                        current_expr,
                                        func_ctx,
                                        true,
                                    ) {
                                        matrix = Some(MatrixData {
                                            columns,
                                            base: current_expr,
                                        });
                                    }

                                    break;
                                }
                            }
                        }

                        if let (Some(MatrixData { columns, base }), Some(vec_index)) =
                            (matrix, vector)
                        {
                            if scalar.is_some() {
                                write!(self.out, "__set_el_of_mat{}x2", columns as u8)?;
                            } else {
                                write!(self.out, "__set_col_of_mat{}x2", columns as u8)?;
                            }
                            write!(self.out, "(")?;
                            self.write_expr(module, base, func_ctx)?;
                            write!(self.out, ", ")?;
                            self.write_expr(module, vec_index, func_ctx)?;

                            if let Some(scalar_index) = scalar {
                                write!(self.out, ", ")?;
                                match scalar_index {
                                    Index::Static(index) => {
                                        write!(self.out, "{}", index)?;
                                    }
                                    Index::Expression(index) => {
                                        self.write_expr(module, index, func_ctx)?;
                                    }
                                }
                            }

                            write!(self.out, ", ")?;
                            self.write_expr(module, value, func_ctx)?;

                            writeln!(self.out, ");")?;
                        } else {
                            self.write_expr(module, pointer, func_ctx)?;
                            write!(self.out, " = ")?;

                            // We cast the RHS of this store in cases where the LHS
                            // is a struct member with type:
                            //  - matCx2 or
                            //  - a (possibly nested) array of matCx2's
                            if let Some(MatrixType {
                                columns,
                                rows: crate::VectorSize::Bi,
                                width: 4,
                            }) = get_inner_matrix_of_struct_array_member(
                                module, pointer, func_ctx, false,
                            ) {
                                let mut resolved =
                                    func_ctx.info[pointer].ty.inner_with(&module.types);
                                if let TypeInner::Pointer { base, .. } = *resolved {
                                    resolved = &module.types[base].inner;
                                }

                                write!(self.out, "(__mat{}x2", columns as u8)?;
                                if let TypeInner::Array { base, size, .. } = *resolved {
                                    self.write_array_size(module, base, size)?;
                                }
                                write!(self.out, ")")?;
                            }

                            self.write_expr(module, value, func_ctx)?;
                            writeln!(self.out, ";")?
                        }
                    }
                }
            }
            Statement::Loop {
                ref body,
                ref continuing,
                break_if,
            } => {
                let l2 = level.next();
                if !continuing.is_empty() || break_if.is_some() {
                    let gate_name = self.namer.call("loop_init");
                    writeln!(self.out, "{}bool {} = true;", level, gate_name)?;
                    writeln!(self.out, "{}while(true) {{", level)?;
                    writeln!(self.out, "{}if (!{}) {{", l2, gate_name)?;
                    let l3 = l2.next();
                    for sta in continuing.iter() {
                        self.write_stmt(module, sta, func_ctx, l3)?;
                    }
                    if let Some(condition) = break_if {
                        write!(self.out, "{}if (", l3)?;
                        self.write_expr(module, condition, func_ctx)?;
                        writeln!(self.out, ") {{")?;
                        writeln!(self.out, "{}break;", l3.next())?;
                        writeln!(self.out, "{}}}", l3)?;
                    }
                    writeln!(self.out, "{}}}", l2)?;
                    writeln!(self.out, "{}{} = false;", l2, gate_name)?;
                } else {
                    writeln!(self.out, "{}while(true) {{", level)?;
                }

                for sta in body.iter() {
                    self.write_stmt(module, sta, func_ctx, l2)?;
                }
                writeln!(self.out, "{}}}", level)?
            }
            Statement::Break => writeln!(self.out, "{}break;", level)?,
            Statement::Continue => writeln!(self.out, "{}continue;", level)?,
            Statement::Barrier(barrier) => {
                if barrier.contains(crate::Barrier::STORAGE) {
                    writeln!(self.out, "{}DeviceMemoryBarrierWithGroupSync();", level)?;
                }

                if barrier.contains(crate::Barrier::WORK_GROUP) {
                    writeln!(self.out, "{}GroupMemoryBarrierWithGroupSync();", level)?;
                }
            }
            Statement::ImageStore {
                image,
                coordinate,
                array_index,
                value,
            } => {
                write!(self.out, "{}", level)?;
                self.write_expr(module, image, func_ctx)?;

                write!(self.out, "[")?;
                if let Some(index) = array_index {
                    // Array index accepted only for texture_storage_2d_array, so we can safety use int3(coordinate, array_index) here
                    write!(self.out, "int3(")?;
                    self.write_expr(module, coordinate, func_ctx)?;
                    write!(self.out, ", ")?;
                    self.write_expr(module, index, func_ctx)?;
                    write!(self.out, ")")?;
                } else {
                    self.write_expr(module, coordinate, func_ctx)?;
                }
                write!(self.out, "]")?;

                write!(self.out, " = ")?;
                self.write_expr(module, value, func_ctx)?;
                writeln!(self.out, ";")?;
            }
            Statement::Call {
                function,
                ref arguments,
                result,
            } => {
                write!(self.out, "{}", level)?;
                if let Some(expr) = result {
                    write!(self.out, "const ")?;
                    let name = format!("{}{}", back::BAKE_PREFIX, expr.index());
                    let expr_ty = &func_ctx.info[expr].ty;
                    match *expr_ty {
                        proc::TypeResolution::Handle(handle) => self.write_type(module, handle)?,
                        proc::TypeResolution::Value(ref value) => {
                            self.write_value_type(module, value)?
                        }
                    };
                    write!(self.out, " {} = ", name)?;
                    self.named_expressions.insert(expr, name);
                }
                let func_name = &self.names[&NameKey::Function(function)];
                write!(self.out, "{}(", func_name)?;
                for (index, argument) in arguments.iter().enumerate() {
                    self.write_expr(module, *argument, func_ctx)?;
                    // Only write a comma if isn't the last element
                    if index != arguments.len().saturating_sub(1) {
                        // The leading space is for readability only
                        write!(self.out, ", ")?;
                    }
                }
                writeln!(self.out, ");")?
            }
            Statement::Atomic {
                pointer,
                ref fun,
                value,
                result,
            } => {
                write!(self.out, "{}", level)?;
                let res_name = format!("{}{}", back::BAKE_PREFIX, result.index());
                match func_ctx.info[result].ty {
                    proc::TypeResolution::Handle(handle) => self.write_type(module, handle)?,
                    proc::TypeResolution::Value(ref value) => {
                        self.write_value_type(module, value)?
                    }
                };

                let var_handle = self.fill_access_chain(module, pointer, func_ctx)?;
                // working around the borrow checker in `self.write_expr`
                let chain = mem::take(&mut self.temp_access_chain);
                let var_name = &self.names[&NameKey::GlobalVariable(var_handle)];

                let fun_str = fun.to_hlsl_suffix();
                write!(
                    self.out,
                    " {}; {}.Interlocked{}(",
                    res_name, var_name, fun_str
                )?;
                self.write_storage_address(module, &chain, func_ctx)?;
                write!(self.out, ", ")?;
                // handle the special cases
                match *fun {
                    crate::AtomicFunction::Subtract => {
                        // we just wrote `InterlockedAdd`, so negate the argument
                        write!(self.out, "-")?;
                    }
                    crate::AtomicFunction::Exchange { compare: Some(_) } => {
                        return Err(Error::Unimplemented("atomic CompareExchange".to_string()));
                    }
                    _ => {}
                }
                self.write_expr(module, value, func_ctx)?;
                writeln!(self.out, ", {});", res_name)?;
                self.temp_access_chain = chain;
                self.named_expressions.insert(result, res_name);
            }
            Statement::Switch {
                selector,
                ref cases,
            } => {
                // Start the switch
                write!(self.out, "{}", level)?;
                write!(self.out, "switch(")?;
                self.write_expr(module, selector, func_ctx)?;
                writeln!(self.out, ") {{")?;
                let type_postfix = match *func_ctx.info[selector].ty.inner_with(&module.types) {
                    crate::TypeInner::Scalar {
                        kind: crate::ScalarKind::Uint,
                        ..
                    } => "u",
                    _ => "",
                };

                // Write all cases
                let indent_level_1 = level.next();
                let indent_level_2 = indent_level_1.next();

                for (i, case) in cases.iter().enumerate() {
                    match case.value {
                        crate::SwitchValue::Integer(value) => writeln!(
                            self.out,
                            "{}case {}{}: {{",
                            indent_level_1, value, type_postfix
                        )?,
                        crate::SwitchValue::Default => {
                            writeln!(self.out, "{}default: {{", indent_level_1)?
                        }
                    }

                    // FXC doesn't support fallthrough so we duplicate the body of the following case blocks
                    if case.fall_through {
                        let curr_len = i + 1;
                        let end_case_idx = curr_len
                            + cases
                                .iter()
                                .skip(curr_len)
                                .position(|case| !case.fall_through)
                                .unwrap();
                        let indent_level_3 = indent_level_2.next();
                        for case in &cases[i..=end_case_idx] {
                            writeln!(self.out, "{}{{", indent_level_2)?;
                            for sta in case.body.iter() {
                                self.write_stmt(module, sta, func_ctx, indent_level_3)?;
                            }
                            writeln!(self.out, "{}}}", indent_level_2)?;
                        }

                        let last_case = &cases[end_case_idx];
                        if last_case.body.last().map_or(true, |s| !s.is_terminator()) {
                            writeln!(self.out, "{}break;", indent_level_2)?;
                        }
                    } else {
                        for sta in case.body.iter() {
                            self.write_stmt(module, sta, func_ctx, indent_level_2)?;
                        }
                        if case.body.last().map_or(true, |s| !s.is_terminator()) {
                            writeln!(self.out, "{}break;", indent_level_2)?;
                        }
                    }

                    writeln!(self.out, "{}}}", indent_level_1)?;
                }

                writeln!(self.out, "{}}}", level)?
            }
        }

        Ok(())
    }

    /// Helper method to write expressions
    ///
    /// # Notes
    /// Doesn't add any newlines or leading/trailing spaces
    pub(super) fn write_expr(
        &mut self,
        module: &Module,
        expr: Handle<crate::Expression>,
        func_ctx: &back::FunctionCtx<'_>,
    ) -> BackendResult {
        use crate::Expression;

        // Handle the special semantics for base vertex/instance
        let ff_input = if self.options.special_constants_binding.is_some() {
            func_ctx.is_fixed_function_input(expr, module)
        } else {
            None
        };
        let closing_bracket = match ff_input {
            Some(crate::BuiltIn::VertexIndex) => {
                write!(self.out, "({}.{} + ", SPECIAL_CBUF_VAR, SPECIAL_BASE_VERTEX)?;
                ")"
            }
            Some(crate::BuiltIn::InstanceIndex) => {
                write!(
                    self.out,
                    "({}.{} + ",
                    SPECIAL_CBUF_VAR, SPECIAL_BASE_INSTANCE,
                )?;
                ")"
            }
            Some(crate::BuiltIn::NumWorkGroups) => {
                //Note: despite their names (`BASE_VERTEX` and `BASE_INSTANCE`),
                // in compute shaders the special constants contain the number
                // of workgroups, which we are using here.
                write!(
                    self.out,
                    "uint3({}.{}, {}.{}, {}.{})",
                    SPECIAL_CBUF_VAR,
                    SPECIAL_BASE_VERTEX,
                    SPECIAL_CBUF_VAR,
                    SPECIAL_BASE_INSTANCE,
                    SPECIAL_CBUF_VAR,
                    SPECIAL_OTHER,
                )?;
                return Ok(());
            }
            _ => "",
        };

        if let Some(name) = self.named_expressions.get(&expr) {
            write!(self.out, "{}{}", name, closing_bracket)?;
            return Ok(());
        }

        let expression = &func_ctx.expressions[expr];

        match *expression {
            Expression::Constant(constant) => self.write_constant(module, constant)?,
            Expression::Compose { ty, ref components } => {
                match module.types[ty].inner {
                    TypeInner::Struct { .. } | TypeInner::Array { .. } => {
                        self.write_wrapped_constructor_function_name(
                            module,
                            WrappedConstructor { ty },
                        )?;
                    }
                    _ => {
                        self.write_type(module, ty)?;
                    }
                };

                write!(self.out, "(")?;

                for (index, &component) in components.iter().enumerate() {
                    if index != 0 {
                        // The leading space is for readability only
                        write!(self.out, ", ")?;
                    }
                    self.write_expr(module, component, func_ctx)?;
                }

                write!(self.out, ")")?;
            }
            // All of the multiplication can be expressed as `mul`,
            // except vector * vector, which needs to use the "*" operator.
            Expression::Binary {
                op: crate::BinaryOperator::Multiply,
                left,
                right,
            } if func_ctx.info[left].ty.inner_with(&module.types).is_matrix()
                || func_ctx.info[right]
                    .ty
                    .inner_with(&module.types)
                    .is_matrix() =>
            {
                // We intentionally flip the order of multiplication as our matrices are implicitly transposed.
                write!(self.out, "mul(")?;
                self.write_expr(module, right, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, left, func_ctx)?;
                write!(self.out, ")")?;
            }

            // TODO: handle undefined behavior of BinaryOperator::Modulo
            //
            // sint:
            // if right == 0 return 0
            // if left == min(type_of(left)) && right == -1 return 0
            // if sign(left) != sign(right) return result as defined by WGSL
            //
            // uint:
            // if right == 0 return 0
            //
            // float:
            // if right == 0 return ? see https://github.com/gpuweb/gpuweb/issues/2798

            // While HLSL supports float operands with the % operator it is only
            // defined in cases where both sides are either positive or negative.
            Expression::Binary {
                op: crate::BinaryOperator::Modulo,
                left,
                right,
            } if func_ctx.info[left]
                .ty
                .inner_with(&module.types)
                .scalar_kind()
                == Some(crate::ScalarKind::Float) =>
            {
                write!(self.out, "fmod(")?;
                self.write_expr(module, left, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, right, func_ctx)?;
                write!(self.out, ")")?;
            }
            Expression::Binary { op, left, right } => {
                write!(self.out, "(")?;
                self.write_expr(module, left, func_ctx)?;
                write!(self.out, " {} ", crate::back::binary_operation_str(op))?;
                self.write_expr(module, right, func_ctx)?;
                write!(self.out, ")")?;
            }
            Expression::Access { base, index } => {
                if let Some(crate::AddressSpace::Storage { .. }) = func_ctx.info[expr]
                    .ty
                    .inner_with(&module.types)
                    .pointer_space()
                {
                    // do nothing, the chain is written on `Load`/`Store`
                } else {
                    // We use the function __get_col_of_matCx2 here in cases
                    // where `base`s type resolves to a matCx2 and is part of a
                    // struct member with type of (possibly nested) array of matCx2's.
                    //
                    // Note that this only works for `Load`s and we handle
                    // `Store`s differently in `Statement::Store`.
                    if let Some(MatrixType {
                        columns,
                        rows: crate::VectorSize::Bi,
                        width: 4,
                    }) = get_inner_matrix_of_struct_array_member(module, base, func_ctx, true)
                    {
                        write!(self.out, "__get_col_of_mat{}x2(", columns as u8)?;
                        self.write_expr(module, base, func_ctx)?;
                        write!(self.out, ", ")?;
                        self.write_expr(module, index, func_ctx)?;
                        write!(self.out, ")")?;
                        return Ok(());
                    }

                    let base_ty_res = &func_ctx.info[base].ty;
                    let resolved = base_ty_res.inner_with(&module.types);

                    let non_uniform_qualifier = match *resolved {
                        TypeInner::BindingArray { .. } => {
                            let uniformity = &func_ctx.info[index].uniformity;

                            uniformity.non_uniform_result.is_some()
                        }
                        _ => false,
                    };

                    self.write_expr(module, base, func_ctx)?;
                    write!(self.out, "[")?;
                    if non_uniform_qualifier {
                        write!(self.out, "NonUniformResourceIndex(")?;
                    }
                    self.write_expr(module, index, func_ctx)?;
                    if non_uniform_qualifier {
                        write!(self.out, ")")?;
                    }
                    write!(self.out, "]")?;
                }
            }
            Expression::AccessIndex { base, index } => {
                if let Some(crate::AddressSpace::Storage { .. }) = func_ctx.info[expr]
                    .ty
                    .inner_with(&module.types)
                    .pointer_space()
                {
                    // do nothing, the chain is written on `Load`/`Store`
                } else {
                    fn write_access<W: fmt::Write>(
                        writer: &mut super::Writer<'_, W>,
                        resolved: &TypeInner,
                        base_ty_handle: Option<Handle<crate::Type>>,
                        index: u32,
                    ) -> BackendResult {
                        match *resolved {
                            TypeInner::Vector { .. } => {
                                // Write vector access as a swizzle
                                write!(writer.out, ".{}", back::COMPONENTS[index as usize])?
                            }
                            TypeInner::Matrix { .. }
                            | TypeInner::Array { .. }
                            | TypeInner::BindingArray { .. }
                            | TypeInner::ValuePointer { .. } => write!(writer.out, "[{}]", index)?,
                            TypeInner::Struct { .. } => {
                                // This will never panic in case the type is a `Struct`, this is not true
                                // for other types so we can only check while inside this match arm
                                let ty = base_ty_handle.unwrap();

                                write!(
                                    writer.out,
                                    ".{}",
                                    &writer.names[&NameKey::StructMember(ty, index)]
                                )?
                            }
                            ref other => {
                                return Err(Error::Custom(format!("Cannot index {:?}", other)))
                            }
                        }
                        Ok(())
                    }

                    // We write the matrix column access in a special way since
                    // the type of `base` is our special __matCx2 struct.
                    if let Some(MatrixType {
                        rows: crate::VectorSize::Bi,
                        width: 4,
                        ..
                    }) = get_inner_matrix_of_struct_array_member(module, base, func_ctx, true)
                    {
                        self.write_expr(module, base, func_ctx)?;
                        write!(self.out, "._{}", index)?;
                        return Ok(());
                    }

                    let base_ty_res = &func_ctx.info[base].ty;
                    let mut resolved = base_ty_res.inner_with(&module.types);
                    let base_ty_handle = match *resolved {
                        TypeInner::Pointer { base, .. } => {
                            resolved = &module.types[base].inner;
                            Some(base)
                        }
                        _ => base_ty_res.handle(),
                    };

                    // We treat matrices of the form `matCx2` as a sequence of C `vec2`s.
                    // See the module-level block comment in mod.rs for details.
                    //
                    // We handle matrix reconstruction here for Loads.
                    // Stores are handled directly by `Statement::Store`.
                    if let TypeInner::Struct { ref members, .. } = *resolved {
                        let member = &members[index as usize];

                        match module.types[member.ty].inner {
                            TypeInner::Matrix {
                                rows: crate::VectorSize::Bi,
                                ..
                            } if member.binding.is_none() => {
                                let ty = base_ty_handle.unwrap();
                                self.write_wrapped_struct_matrix_get_function_name(
                                    WrappedStructMatrixAccess { ty, index },
                                )?;
                                write!(self.out, "(")?;
                                self.write_expr(module, base, func_ctx)?;
                                write!(self.out, ")")?;
                                return Ok(());
                            }
                            _ => {}
                        }
                    }

                    self.write_expr(module, base, func_ctx)?;
                    write_access(self, resolved, base_ty_handle, index)?;
                }
            }
            Expression::FunctionArgument(pos) => {
                let key = match func_ctx.ty {
                    back::FunctionType::Function(handle) => NameKey::FunctionArgument(handle, pos),
                    back::FunctionType::EntryPoint(index) => {
                        NameKey::EntryPointArgument(index, pos)
                    }
                };
                let name = &self.names[&key];
                write!(self.out, "{}", name)?;
            }
            Expression::ImageSample {
                image,
                sampler,
                gather,
                coordinate,
                array_index,
                offset,
                level,
                depth_ref,
            } => {
                use crate::SampleLevel as Sl;
                const COMPONENTS: [&str; 4] = ["", "Green", "Blue", "Alpha"];

                let (base_str, component_str) = match gather {
                    Some(component) => ("Gather", COMPONENTS[component as usize]),
                    None => ("Sample", ""),
                };
                let cmp_str = match depth_ref {
                    Some(_) => "Cmp",
                    None => "",
                };
                let level_str = match level {
                    Sl::Zero if gather.is_none() => "LevelZero",
                    Sl::Auto | Sl::Zero => "",
                    Sl::Exact(_) => "Level",
                    Sl::Bias(_) => "Bias",
                    Sl::Gradient { .. } => "Grad",
                };

                self.write_expr(module, image, func_ctx)?;
                write!(
                    self.out,
                    ".{}{}{}{}(",
                    base_str, cmp_str, component_str, level_str
                )?;
                self.write_expr(module, sampler, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_texture_coordinates(
                    "float",
                    coordinate,
                    array_index,
                    None,
                    module,
                    func_ctx,
                )?;

                if let Some(depth_ref) = depth_ref {
                    write!(self.out, ", ")?;
                    self.write_expr(module, depth_ref, func_ctx)?;
                }

                match level {
                    Sl::Auto | Sl::Zero => {}
                    Sl::Exact(expr) => {
                        write!(self.out, ", ")?;
                        self.write_expr(module, expr, func_ctx)?;
                    }
                    Sl::Bias(expr) => {
                        write!(self.out, ", ")?;
                        self.write_expr(module, expr, func_ctx)?;
                    }
                    Sl::Gradient { x, y } => {
                        write!(self.out, ", ")?;
                        self.write_expr(module, x, func_ctx)?;
                        write!(self.out, ", ")?;
                        self.write_expr(module, y, func_ctx)?;
                    }
                }

                if let Some(offset) = offset {
                    write!(self.out, ", ")?;
                    self.write_constant(module, offset)?;
                }

                write!(self.out, ")")?;
            }
            Expression::ImageQuery { image, query } => {
                // use wrapped image query function
                if let TypeInner::Image {
                    dim,
                    arrayed,
                    class,
                } = *func_ctx.info[image].ty.inner_with(&module.types)
                {
                    let wrapped_image_query = WrappedImageQuery {
                        dim,
                        arrayed,
                        class,
                        query: query.into(),
                    };

                    self.write_wrapped_image_query_function_name(wrapped_image_query)?;
                    write!(self.out, "(")?;
                    // Image always first param
                    self.write_expr(module, image, func_ctx)?;
                    if let crate::ImageQuery::Size { level: Some(level) } = query {
                        write!(self.out, ", ")?;
                        self.write_expr(module, level, func_ctx)?;
                    }
                    write!(self.out, ")")?;
                }
            }
            Expression::ImageLoad {
                image,
                coordinate,
                array_index,
                sample,
                level,
            } => {
                // https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-to-load
                self.write_expr(module, image, func_ctx)?;
                write!(self.out, ".Load(")?;

                self.write_texture_coordinates(
                    "int",
                    coordinate,
                    array_index,
                    level,
                    module,
                    func_ctx,
                )?;

                if let Some(sample) = sample {
                    write!(self.out, ", ")?;
                    self.write_expr(module, sample, func_ctx)?;
                }

                // close bracket for Load function
                write!(self.out, ")")?;

                // return x component if return type is scalar
                if let TypeInner::Scalar { .. } = *func_ctx.info[expr].ty.inner_with(&module.types)
                {
                    write!(self.out, ".x")?;
                }
            }
            Expression::GlobalVariable(handle) => match module.global_variables[handle].space {
                crate::AddressSpace::Storage { .. } => {}
                _ => {
                    let name = &self.names[&NameKey::GlobalVariable(handle)];
                    write!(self.out, "{}", name)?;
                }
            },
            Expression::LocalVariable(handle) => {
                write!(self.out, "{}", self.names[&func_ctx.name_key(handle)])?
            }
            Expression::Load { pointer } => {
                match func_ctx.info[pointer]
                    .ty
                    .inner_with(&module.types)
                    .pointer_space()
                {
                    Some(crate::AddressSpace::Storage { .. }) => {
                        let var_handle = self.fill_access_chain(module, pointer, func_ctx)?;
                        let result_ty = func_ctx.info[expr].ty.clone();
                        self.write_storage_load(module, var_handle, result_ty, func_ctx)?;
                    }
                    _ => {
                        let mut close_paren = false;

                        // We cast the value loaded to a native HLSL floatCx2
                        // in cases where it is of type:
                        //  - __matCx2 or
                        //  - a (possibly nested) array of __matCx2's
                        if let Some(MatrixType {
                            rows: crate::VectorSize::Bi,
                            width: 4,
                            ..
                        }) = get_inner_matrix_of_struct_array_member(
                            module, pointer, func_ctx, false,
                        )
                        .or_else(|| get_inner_matrix_of_global_uniform(module, pointer, func_ctx))
                        {
                            let mut resolved = func_ctx.info[pointer].ty.inner_with(&module.types);
                            if let TypeInner::Pointer { base, .. } = *resolved {
                                resolved = &module.types[base].inner;
                            }

                            write!(self.out, "((")?;
                            if let TypeInner::Array { base, size, .. } = *resolved {
                                self.write_type(module, base)?;
                                self.write_array_size(module, base, size)?;
                            } else {
                                self.write_value_type(module, resolved)?;
                            }
                            write!(self.out, ")")?;
                            close_paren = true;
                        }

                        self.write_expr(module, pointer, func_ctx)?;

                        if close_paren {
                            write!(self.out, ")")?;
                        }
                    }
                }
            }
            Expression::Unary { op, expr } => {
                use crate::{ScalarKind as Sk, UnaryOperator as Uo};
                // https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-operators#unary-operators
                let op_str = match op {
                    Uo::Negate => "-",
                    Uo::Not => match func_ctx.info[expr]
                        .ty
                        .inner_with(&module.types)
                        .scalar_kind()
                    {
                        Some(Sk::Sint) | Some(Sk::Uint) => "~",
                        Some(Sk::Bool) => "!",
                        ref other => {
                            return Err(Error::Custom(format!(
                                "Cannot apply not to type {:?}",
                                other
                            )))
                        }
                    },
                };
                write!(self.out, "{}", op_str)?;
                self.write_expr(module, expr, func_ctx)?;
            }
            Expression::As {
                expr,
                kind,
                convert,
            } => {
                let inner = func_ctx.info[expr].ty.inner_with(&module.types);
                let get_width = |src_width| kind.to_hlsl_str(convert.unwrap_or(src_width));
                match *inner {
                    TypeInner::Vector { size, width, .. } => {
                        write!(
                            self.out,
                            "{}{}(",
                            get_width(width)?,
                            back::vector_size_str(size)
                        )?;
                    }
                    TypeInner::Scalar { width, .. } => {
                        write!(self.out, "{}(", get_width(width)?,)?;
                    }
                    TypeInner::Matrix {
                        columns,
                        rows,
                        width,
                    } => {
                        write!(
                            self.out,
                            "{}{}x{}(",
                            get_width(width)?,
                            back::vector_size_str(columns),
                            back::vector_size_str(rows)
                        )?;
                    }
                    _ => {
                        return Err(Error::Unimplemented(format!(
                            "write_expr expression::as {:?}",
                            inner
                        )));
                    }
                };
                self.write_expr(module, expr, func_ctx)?;
                write!(self.out, ")")?;
            }
            Expression::Math {
                fun,
                arg,
                arg1,
                arg2,
                arg3,
            } => {
                use crate::MathFunction as Mf;

                enum Function {
                    Asincosh { is_sin: bool },
                    Atanh,
                    Unpack2x16float,
                    Regular(&'static str),
                    MissingIntOverload(&'static str),
                }

                let fun = match fun {
                    // comparison
                    Mf::Abs => Function::Regular("abs"),
                    Mf::Min => Function::Regular("min"),
                    Mf::Max => Function::Regular("max"),
                    Mf::Clamp => Function::Regular("clamp"),
                    Mf::Saturate => Function::Regular("saturate"),
                    // trigonometry
                    Mf::Cos => Function::Regular("cos"),
                    Mf::Cosh => Function::Regular("cosh"),
                    Mf::Sin => Function::Regular("sin"),
                    Mf::Sinh => Function::Regular("sinh"),
                    Mf::Tan => Function::Regular("tan"),
                    Mf::Tanh => Function::Regular("tanh"),
                    Mf::Acos => Function::Regular("acos"),
                    Mf::Asin => Function::Regular("asin"),
                    Mf::Atan => Function::Regular("atan"),
                    Mf::Atan2 => Function::Regular("atan2"),
                    Mf::Asinh => Function::Asincosh { is_sin: true },
                    Mf::Acosh => Function::Asincosh { is_sin: false },
                    Mf::Atanh => Function::Atanh,
                    Mf::Radians => Function::Regular("radians"),
                    Mf::Degrees => Function::Regular("degrees"),
                    // decomposition
                    Mf::Ceil => Function::Regular("ceil"),
                    Mf::Floor => Function::Regular("floor"),
                    Mf::Round => Function::Regular("round"),
                    Mf::Fract => Function::Regular("frac"),
                    Mf::Trunc => Function::Regular("trunc"),
                    Mf::Modf => Function::Regular("modf"),
                    Mf::Frexp => Function::Regular("frexp"),
                    Mf::Ldexp => Function::Regular("ldexp"),
                    // exponent
                    Mf::Exp => Function::Regular("exp"),
                    Mf::Exp2 => Function::Regular("exp2"),
                    Mf::Log => Function::Regular("log"),
                    Mf::Log2 => Function::Regular("log2"),
                    Mf::Pow => Function::Regular("pow"),
                    // geometry
                    Mf::Dot => Function::Regular("dot"),
                    //Mf::Outer => ,
                    Mf::Cross => Function::Regular("cross"),
                    Mf::Distance => Function::Regular("distance"),
                    Mf::Length => Function::Regular("length"),
                    Mf::Normalize => Function::Regular("normalize"),
                    Mf::FaceForward => Function::Regular("faceforward"),
                    Mf::Reflect => Function::Regular("reflect"),
                    Mf::Refract => Function::Regular("refract"),
                    // computational
                    Mf::Sign => Function::Regular("sign"),
                    Mf::Fma => Function::Regular("mad"),
                    Mf::Mix => Function::Regular("lerp"),
                    Mf::Step => Function::Regular("step"),
                    Mf::SmoothStep => Function::Regular("smoothstep"),
                    Mf::Sqrt => Function::Regular("sqrt"),
                    Mf::InverseSqrt => Function::Regular("rsqrt"),
                    //Mf::Inverse =>,
                    Mf::Transpose => Function::Regular("transpose"),
                    Mf::Determinant => Function::Regular("determinant"),
                    // bits
                    Mf::CountOneBits => Function::MissingIntOverload("countbits"),
                    Mf::ReverseBits => Function::MissingIntOverload("reversebits"),
                    Mf::FindLsb => Function::Regular("firstbitlow"),
                    Mf::FindMsb => Function::Regular("firstbithigh"),
                    Mf::Unpack2x16float => Function::Unpack2x16float,
                    _ => return Err(Error::Unimplemented(format!("write_expr_math {:?}", fun))),
                };

                match fun {
                    Function::Asincosh { is_sin } => {
                        write!(self.out, "log(")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, " + sqrt(")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, " * ")?;
                        self.write_expr(module, arg, func_ctx)?;
                        match is_sin {
                            true => write!(self.out, " + 1.0))")?,
                            false => write!(self.out, " - 1.0))")?,
                        }
                    }
                    Function::Atanh => {
                        write!(self.out, "0.5 * log((1.0 + ")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, ") / (1.0 - ")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, "))")?;
                    }
                    Function::Unpack2x16float => {
                        write!(self.out, "float2(f16tof32(")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, "), f16tof32((")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, ") >> 16))")?;
                    }
                    Function::Regular(fun_name) => {
                        write!(self.out, "{}(", fun_name)?;
                        self.write_expr(module, arg, func_ctx)?;
                        if let Some(arg) = arg1 {
                            write!(self.out, ", ")?;
                            self.write_expr(module, arg, func_ctx)?;
                        }
                        if let Some(arg) = arg2 {
                            write!(self.out, ", ")?;
                            self.write_expr(module, arg, func_ctx)?;
                        }
                        if let Some(arg) = arg3 {
                            write!(self.out, ", ")?;
                            self.write_expr(module, arg, func_ctx)?;
                        }
                        write!(self.out, ")")?
                    }
                    Function::MissingIntOverload(fun_name) => {
                        let scalar_kind = &func_ctx.info[arg]
                            .ty
                            .inner_with(&module.types)
                            .scalar_kind();
                        if let Some(ScalarKind::Sint) = *scalar_kind {
                            write!(self.out, "asint({}(asuint(", fun_name)?;
                            self.write_expr(module, arg, func_ctx)?;
                            write!(self.out, ")))")?;
                        } else {
                            write!(self.out, "{}(", fun_name)?;
                            self.write_expr(module, arg, func_ctx)?;
                            write!(self.out, ")")?;
                        }
                    }
                }
            }
            Expression::Swizzle {
                size,
                vector,
                pattern,
            } => {
                self.write_expr(module, vector, func_ctx)?;
                write!(self.out, ".")?;
                for &sc in pattern[..size as usize].iter() {
                    self.out.write_char(back::COMPONENTS[sc as usize])?;
                }
            }
            Expression::ArrayLength(expr) => {
                let var_handle = match func_ctx.expressions[expr] {
                    Expression::AccessIndex { base, index: _ } => {
                        match func_ctx.expressions[base] {
                            Expression::GlobalVariable(handle) => handle,
                            _ => unreachable!(),
                        }
                    }
                    Expression::GlobalVariable(handle) => handle,
                    _ => unreachable!(),
                };

                let var = &module.global_variables[var_handle];
                let (offset, stride) = match module.types[var.ty].inner {
                    TypeInner::Array { stride, .. } => (0, stride),
                    TypeInner::Struct { ref members, .. } => {
                        let last = members.last().unwrap();
                        let stride = match module.types[last.ty].inner {
                            TypeInner::Array { stride, .. } => stride,
                            _ => unreachable!(),
                        };
                        (last.offset, stride)
                    }
                    _ => unreachable!(),
                };

                let storage_access = match var.space {
                    crate::AddressSpace::Storage { access } => access,
                    _ => crate::StorageAccess::default(),
                };
                let wrapped_array_length = WrappedArrayLength {
                    writable: storage_access.contains(crate::StorageAccess::STORE),
                };

                write!(self.out, "((")?;
                self.write_wrapped_array_length_function_name(wrapped_array_length)?;
                let var_name = &self.names[&NameKey::GlobalVariable(var_handle)];
                write!(self.out, "({}) - {}) / {})", var_name, offset, stride)?
            }
            Expression::Derivative { axis, expr } => {
                use crate::DerivativeAxis as Da;

                let fun_str = match axis {
                    Da::X => "ddx",
                    Da::Y => "ddy",
                    Da::Width => "fwidth",
                };
                write!(self.out, "{}(", fun_str)?;
                self.write_expr(module, expr, func_ctx)?;
                write!(self.out, ")")?
            }
            Expression::Relational { fun, argument } => {
                use crate::RelationalFunction as Rf;

                let fun_str = match fun {
                    Rf::All => "all",
                    Rf::Any => "any",
                    Rf::IsNan => "isnan",
                    Rf::IsInf => "isinf",
                    Rf::IsFinite => "isfinite",
                    Rf::IsNormal => "isnormal",
                };
                write!(self.out, "{}(", fun_str)?;
                self.write_expr(module, argument, func_ctx)?;
                write!(self.out, ")")?
            }
            Expression::Splat { size, value } => {
                // hlsl is not supported one value constructor
                // if we write, for example, int4(0), dxc returns error:
                // error: too few elements in vector initialization (expected 4 elements, have 1)
                let number_of_components = match size {
                    crate::VectorSize::Bi => "xx",
                    crate::VectorSize::Tri => "xxx",
                    crate::VectorSize::Quad => "xxxx",
                };
                write!(self.out, "(")?;
                self.write_expr(module, value, func_ctx)?;
                write!(self.out, ").{}", number_of_components)?
            }
            Expression::Select {
                condition,
                accept,
                reject,
            } => {
                write!(self.out, "(")?;
                self.write_expr(module, condition, func_ctx)?;
                write!(self.out, " ? ")?;
                self.write_expr(module, accept, func_ctx)?;
                write!(self.out, " : ")?;
                self.write_expr(module, reject, func_ctx)?;
                write!(self.out, ")")?
            }
            // Nothing to do here, since call expression already cached
            Expression::CallResult(_) | Expression::AtomicResult { .. } => {}
        }

        if !closing_bracket.is_empty() {
            write!(self.out, "{}", closing_bracket)?;
        }
        Ok(())
    }

    /// Helper method used to write constants
    ///
    /// # Notes
    /// Doesn't add any newlines or leading/trailing spaces
    fn write_constant(
        &mut self,
        module: &Module,
        handle: Handle<crate::Constant>,
    ) -> BackendResult {
        let constant = &module.constants[handle];
        match constant.inner {
            crate::ConstantInner::Scalar {
                width: _,
                ref value,
            } => {
                if constant.name.is_some() {
                    write!(self.out, "{}", &self.names[&NameKey::Constant(handle)])?;
                } else {
                    self.write_scalar_value(*value)?;
                }
            }
            crate::ConstantInner::Composite { ty, ref components } => {
                self.write_composite_constant(module, ty, components)?;
            }
        }

        Ok(())
    }

    fn write_composite_constant(
        &mut self,
        module: &Module,
        ty: Handle<crate::Type>,
        components: &[Handle<crate::Constant>],
    ) -> BackendResult {
        match module.types[ty].inner {
            TypeInner::Struct { .. } | TypeInner::Array { .. } => {
                self.write_wrapped_constructor_function_name(module, WrappedConstructor { ty })?;
            }
            _ => {
                self.write_type(module, ty)?;
            }
        };
        write!(self.out, "(")?;
        for (index, constant) in components.iter().enumerate() {
            self.write_constant(module, *constant)?;
            // Only write a comma if isn't the last element
            if index != components.len().saturating_sub(1) {
                // The leading space is for readability only
                write!(self.out, ", ")?;
            }
        }
        write!(self.out, ")")?;

        Ok(())
    }

    /// Helper method used to write [`ScalarValue`](crate::ScalarValue)
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    fn write_scalar_value(&mut self, value: crate::ScalarValue) -> BackendResult {
        use crate::ScalarValue as Sv;

        match value {
            Sv::Sint(value) => write!(self.out, "{}", value)?,
            Sv::Uint(value) => write!(self.out, "{}u", value)?,
            // Floats are written using `Debug` instead of `Display` because it always appends the
            // decimal part even it's zero
            Sv::Float(value) => write!(self.out, "{:?}", value)?,
            Sv::Bool(value) => write!(self.out, "{}", value)?,
        }

        Ok(())
    }

    fn write_named_expr(
        &mut self,
        module: &Module,
        handle: Handle<crate::Expression>,
        name: String,
        ctx: &back::FunctionCtx,
    ) -> BackendResult {
        match ctx.info[handle].ty {
            proc::TypeResolution::Handle(ty_handle) => match module.types[ty_handle].inner {
                TypeInner::Struct { .. } => {
                    let ty_name = &self.names[&NameKey::Type(ty_handle)];
                    write!(self.out, "{}", ty_name)?;
                }
                _ => {
                    self.write_type(module, ty_handle)?;
                }
            },
            proc::TypeResolution::Value(ref inner) => {
                self.write_value_type(module, inner)?;
            }
        }

        let base_ty_res = &ctx.info[handle].ty;
        let resolved = base_ty_res.inner_with(&module.types);

        write!(self.out, " {}", name)?;
        // If rhs is a array type, we should write array size
        if let TypeInner::Array { base, size, .. } = *resolved {
            self.write_array_size(module, base, size)?;
        }
        write!(self.out, " = ")?;
        self.write_expr(module, handle, ctx)?;
        writeln!(self.out, ";")?;
        self.named_expressions.insert(handle, name);

        Ok(())
    }

    /// Helper function that write default zero initialization
    fn write_default_init(&mut self, module: &Module, ty: Handle<crate::Type>) -> BackendResult {
        match module.types[ty].inner {
            TypeInner::Array {
                size: crate::ArraySize::Constant(const_handle),
                base,
                ..
            } => {
                write!(self.out, "{{")?;
                let count = module.constants[const_handle].to_array_length().unwrap();
                for i in 0..count {
                    if i != 0 {
                        write!(self.out, ",")?;
                    }
                    self.write_default_init(module, base)?;
                }
                write!(self.out, "}}")?;
            }
            _ => {
                write!(self.out, "(")?;
                self.write_type(module, ty)?;
                write!(self.out, ")0")?;
            }
        }
        Ok(())
    }
}

pub(super) struct MatrixType {
    pub(super) columns: crate::VectorSize,
    pub(super) rows: crate::VectorSize,
    pub(super) width: crate::Bytes,
}

pub(super) fn get_inner_matrix_data(
    module: &Module,
    handle: Handle<crate::Type>,
) -> Option<MatrixType> {
    match module.types[handle].inner {
        TypeInner::Matrix {
            columns,
            rows,
            width,
        } => Some(MatrixType {
            columns,
            rows,
            width,
        }),
        TypeInner::Array { base, .. } => get_inner_matrix_data(module, base),
        _ => None,
    }
}

/// Returns the matrix data if the access chain starting at `base`:
/// - starts with an expression with resolved type of [`TypeInner::Matrix`] if `direct = true`
/// - contains one or more expressions with resolved type of [`TypeInner::Array`] of [`TypeInner::Matrix`]
/// - ends at an expression with resolved type of [`TypeInner::Struct`]
pub(super) fn get_inner_matrix_of_struct_array_member(
    module: &Module,
    base: Handle<crate::Expression>,
    func_ctx: &back::FunctionCtx<'_>,
    direct: bool,
) -> Option<MatrixType> {
    let mut mat_data = None;
    let mut array_base = None;

    let mut current_base = base;
    loop {
        let mut resolved = func_ctx.info[current_base].ty.inner_with(&module.types);
        if let TypeInner::Pointer { base, .. } = *resolved {
            resolved = &module.types[base].inner;
        };

        match *resolved {
            TypeInner::Matrix {
                columns,
                rows,
                width,
            } => {
                mat_data = Some(MatrixType {
                    columns,
                    rows,
                    width,
                })
            }
            TypeInner::Array { base, .. } => {
                array_base = Some(base);
            }
            TypeInner::Struct { .. } => {
                if let Some(array_base) = array_base {
                    if direct {
                        return mat_data;
                    } else {
                        return get_inner_matrix_data(module, array_base);
                    }
                }

                break;
            }
            _ => break,
        }

        current_base = match func_ctx.expressions[current_base] {
            crate::Expression::Access { base, .. } => base,
            crate::Expression::AccessIndex { base, .. } => base,
            _ => break,
        };
    }
    None
}

/// Returns the matrix data if the access chain starting at `base`:
/// - starts with an expression with resolved type of [`TypeInner::Matrix`]
/// - contains zero or more expressions with resolved type of [`TypeInner::Array`] of [`TypeInner::Matrix`]
/// - ends with an [`Expression::GlobalVariable`](crate::Expression::GlobalVariable) in [`AddressSpace::Uniform`](crate::AddressSpace::Uniform)
fn get_inner_matrix_of_global_uniform(
    module: &Module,
    base: Handle<crate::Expression>,
    func_ctx: &back::FunctionCtx<'_>,
) -> Option<MatrixType> {
    let mut mat_data = None;
    let mut array_base = None;

    let mut current_base = base;
    loop {
        let mut resolved = func_ctx.info[current_base].ty.inner_with(&module.types);
        if let TypeInner::Pointer { base, .. } = *resolved {
            resolved = &module.types[base].inner;
        };

        match *resolved {
            TypeInner::Matrix {
                columns,
                rows,
                width,
            } => {
                mat_data = Some(MatrixType {
                    columns,
                    rows,
                    width,
                })
            }
            TypeInner::Array { base, .. } => {
                array_base = Some(base);
            }
            _ => break,
        }

        current_base = match func_ctx.expressions[current_base] {
            crate::Expression::Access { base, .. } => base,
            crate::Expression::AccessIndex { base, .. } => base,
            crate::Expression::GlobalVariable(handle)
                if module.global_variables[handle].space == crate::AddressSpace::Uniform =>
            {
                return mat_data.or_else(|| {
                    array_base.and_then(|array_base| get_inner_matrix_data(module, array_base))
                })
            }
            _ => break,
        };
    }
    None
}


================================================
FILE: lib/naga/src/back/mod.rs
================================================
/*!
Backend functions that export shader [`Module`](super::Module)s into binary and text formats.
*/
#![allow(dead_code)] // can be dead if none of the enabled backends need it

#[cfg(feature = "dot-out")]
pub mod dot;
#[cfg(feature = "glsl-out")]
pub mod glsl;
#[cfg(feature = "hlsl-out")]
pub mod hlsl;
#[cfg(feature = "msl-out")]
pub mod msl;
#[cfg(feature = "spv-out")]
pub mod spv;
#[cfg(feature = "wgsl-out")]
pub mod wgsl;

const COMPONENTS: &[char] = &['x', 'y', 'z', 'w'];
const INDENT: &str = "    ";
const BAKE_PREFIX: &str = "_e";

type NeedBakeExpressions = crate::FastHashSet<crate::Handle<crate::Expression>>;

#[derive(Clone, Copy)]
struct Level(usize);

impl Level {
    const fn next(&self) -> Self {
        Level(self.0 + 1)
    }
}

impl std::fmt::Display for Level {
    fn fmt(&self, formatter: &mut std::fmt::Formatter<'_>) -> Result<(), std::fmt::Error> {
        (0..self.0).try_for_each(|_| formatter.write_str(INDENT))
    }
}

/// Stores the current function type (either a regular function or an entry point)
///
/// Also stores data needed to identify it (handle for a regular function or index for an entry point)
enum FunctionType {
    /// A regular function and it's handle
    Function(crate::Handle<crate::Function>),
    /// A entry point and it's index
    EntryPoint(crate::proc::EntryPointIndex),
}

/// Helper structure that stores data needed when writing the function
struct FunctionCtx<'a> {
    /// The current function being written
    ty: FunctionType,
    /// Analysis about the function
    info: &'a crate::valid::FunctionInfo,
    /// The expression arena of the current function being written
    expressions: &'a crate::Arena<crate::Expression>,
    /// Map of expressions that have associated variable names
    named_expressions: &'a crate::NamedExpressions,
}

impl FunctionCtx<'_> {
    /// Helper method that generates a [`NameKey`](crate::proc::NameKey) for a local in the current function
    const fn name_key(&self, local: crate::Handle<crate::LocalVariable>) -> crate::proc::NameKey {
        match self.ty {
            FunctionType::Function(handle) => crate::proc::NameKey::FunctionLocal(handle, local),
            FunctionType::EntryPoint(idx) => crate::proc::NameKey::EntryPointLocal(idx, local),
        }
    }

    /// Helper method that generates a [`NameKey`](crate::proc::NameKey) for a function argument.
    ///
    /// # Panics
    /// - If the function arguments are less or equal to `arg`
    const fn argument_key(&self, arg: u32) -> crate::proc::NameKey {
        match self.ty {
            FunctionType::Function(handle) => crate::proc::NameKey::FunctionArgument(handle, arg),
            FunctionType::EntryPoint(ep_index) => {
                crate::proc::NameKey::EntryPointArgument(ep_index, arg)
            }
        }
    }

    // Returns true if the given expression points to a fixed-function pipeline input.
    fn is_fixed_function_input(
        &self,
        mut expression: crate::Handle<crate::Expression>,
        module: &crate::Module,
    ) -> Option<crate::BuiltIn> {
        let ep_function = match self.ty {
            FunctionType::Function(_) => return None,
            FunctionType::EntryPoint(ep_index) => &module.entry_points[ep_index as usize].function,
        };
        let mut built_in = None;
        loop {
            match self.expressions[expression] {
                crate::Expression::FunctionArgument(arg_index) => {
                    return match ep_function.arguments[arg_index as usize].binding {
                        Some(crate::Binding::BuiltIn(bi)) => Some(bi),
                        _ => built_in,
                    };
                }
                crate::Expression::AccessIndex { base, index } => {
                    match *self.info[base].ty.inner_with(&module.types) {
                        crate::TypeInner::Struct { ref members, .. } => {
                            if let Some(crate::Binding::BuiltIn(bi)) =
                                members[index as usize].binding
                            {
                                built_in = Some(bi);
                            }
                        }
                        _ => return None,
                    }
                    expression = base;
                }
                _ => return None,
            }
        }
    }
}

impl crate::Expression {
    /// Returns the ref count, upon reaching which this expression
    /// should be considered for baking.
    ///
    /// Note: we have to cache any expressions that depend on the control flow,
    /// or otherwise they may be moved into a non-uniform control flow, accidentally.
    /// See the [module-level documentation][emit] for details.
    ///
    /// [emit]: index.html#expression-evaluation-time
    const fn bake_ref_count(&self) -> usize {
        match *self {
            // accesses are never cached, only loads are
            crate::Expression::Access { .. } | crate::Expression::AccessIndex { .. } => usize::MAX,
            // sampling may use the control flow, and image ops look better by themselves
            crate::Expression::ImageSample { .. } | crate::Expression::ImageLoad { .. } => 1,
            // derivatives use the control flow
            crate::Expression::Derivative { .. } => 1,
            // TODO: We need a better fix for named `Load` expressions
            // More info - https://github.com/gfx-rs/naga/pull/914
            // And https://github.com/gfx-rs/naga/issues/910
            crate::Expression::Load { .. } => 1,
            // cache expressions that are referenced multiple times
            _ => 2,
        }
    }
}

/// Helper function that returns the string corresponding to the [`BinaryOperator`](crate::BinaryOperator)
/// # Notes
/// Used by `glsl-out`, `msl-out`, `wgsl-out`, `hlsl-out`.
const fn binary_operation_str(op: crate::BinaryOperator) -> &'static str {
    use crate::BinaryOperator as Bo;
    match op {
        Bo::Add => "+",
        Bo::Subtract => "-",
        Bo::Multiply => "*",
        Bo::Divide => "/",
        Bo::Modulo => "%",
        Bo::Equal => "==",
        Bo::NotEqual => "!=",
        Bo::Less => "<",
        Bo::LessEqual => "<=",
        Bo::Greater => ">",
        Bo::GreaterEqual => ">=",
        Bo::And => "&",
        Bo::ExclusiveOr => "^",
        Bo::InclusiveOr => "|",
        Bo::LogicalAnd => "&&",
        Bo::LogicalOr => "||",
        Bo::ShiftLeft => "<<",
        Bo::ShiftRight => ">>",
    }
}

/// Helper function that returns the string corresponding to the [`VectorSize`](crate::VectorSize)
/// # Notes
/// Used by `msl-out`, `wgsl-out`, `hlsl-out`.
const fn vector_size_str(size: crate::VectorSize) -> &'static str {
    match size {
        crate::VectorSize::Bi => "2",
        crate::VectorSize::Tri => "3",
        crate::VectorSize::Quad => "4",
    }
}

impl crate::TypeInner {
    const fn is_handle(&self) -> bool {
        match *self {
            crate::TypeInner::Image { .. } | crate::TypeInner::Sampler { .. } => true,
            _ => false,
        }
    }
}

impl crate::Statement {
    /// Returns true if the statement directly terminates the current block.
    ///
    /// Used to decide whether case blocks require a explicit `break`.
    pub const fn is_terminator(&self) -> bool {
        match *self {
            crate::Statement::Break
            | crate::Statement::Continue
            | crate::Statement::Return { .. }
            | crate::Statement::Kill => true,
            _ => false,
        }
    }
}


================================================
FILE: lib/naga/src/back/msl/keywords.rs
================================================
//TODO: find a complete list
pub const RESERVED: &[&str] = &[
    // control flow
    "break",
    "if",
    "else",
    "continue",
    "goto",
    "do",
    "while",
    "for",
    "switch",
    "case",
    // types and values
    "void",
    "unsigned",
    "signed",
    "bool",
    "char",
    "int",
    "uint",
    "long",
    "float",
    "double",
    "char8_t",
    "wchar_t",
    "true",
    "false",
    "nullptr",
    "union",
    "class",
    "struct",
    "enum",
    // other
    "main",
    "using",
    "decltype",
    "sizeof",
    "typeof",
    "typedef",
    "explicit",
    "export",
    "friend",
    "namespace",
    "operator",
    "public",
    "template",
    "typename",
    "typeid",
    "co_await",
    "co_return",
    "co_yield",
    "module",
    "import",
    "ray_data",
    "vec_step",
    "visible",
    "as_type",
    "this",
    // qualifiers
    "mutable",
    "static",
    "volatile",
    "restrict",
    "const",
    "non-temporal",
    "dereferenceable",
    "invariant",
    // exceptions
    "throw",
    "try",
    "catch",
    // operators
    "const_cast",
    "dynamic_cast",
    "reinterpret_cast",
    "static_cast",
    "new",
    "delete",
    "and",
    "and_eq",
    "bitand",
    "bitor",
    "compl",
    "not",
    "not_eq",
    "or",
    "or_eq",
    "xor",
    "xor_eq",
    "compl",
    // Metal-specific
    "constant",
    "device",
    "threadgroup",
    "threadgroup_imageblock",
    "kernel",
    "compute",
    "vertex",
    "fragment",
    "read_only",
    "write_only",
    "read_write",
    "auto",
    // Metal reserved types
    "llong",
    "ullong",
    "quad",
    "complex",
    "imaginary",
    // Metal constants
    "CHAR_BIT",
    "SCHAR_MAX",
    "SCHAR_MIN",
    "UCHAR_MAX",
    "CHAR_MAX",
    "CHAR_MIN",
    "USHRT_MAX",
    "SHRT_MAX",
    "SHRT_MIN",
    "UINT_MAX",
    "INT_MAX",
    "INT_MIN",
    "ULONG_MAX",
    "LONG_MAX",
    "LONG_MIN",
    "ULLONG_MAX",
    "LLONG_MAX",
    "LLONG_MIN",
    "FLT_DIG",
    "FLT_MANT_DIG",
    "FLT_MAX_10_EXP",
    "FLT_MAX_EXP",
    "FLT_MIN_10_EXP",
    "FLT_MIN_EXP",
    "FLT_RADIX",
    "FLT_MAX",
    "FLT_MIN",
    "FLT_EPSILON",
    "FLT_DECIMAL_DIG",
    "FP_ILOGB0",
    "FP_ILOGB0",
    "FP_ILOGBNAN",
    "FP_ILOGBNAN",
    "MAXFLOAT",
    "HUGE_VALF",
    "INFINITY",
    "NAN",
    "M_E_F",
    "M_LOG2E_F",
    "M_LOG10E_F",
    "M_LN2_F",
    "M_LN10_F",
    "M_PI_F",
    "M_PI_2_F",
    "M_PI_4_F",
    "M_1_PI_F",
    "M_2_PI_F",
    "M_2_SQRTPI_F",
    "M_SQRT2_F",
    "M_SQRT1_2_F",
    "HALF_DIG",
    "HALF_MANT_DIG",
    "HALF_MAX_10_EXP",
    "HALF_MAX_EXP",
    "HALF_MIN_10_EXP",
    "HALF_MIN_EXP",
    "HALF_RADIX",
    "HALF_MAX",
    "HALF_MIN",
    "HALF_EPSILON",
    "HALF_DECIMAL_DIG",
    "MAXHALF",
    "HUGE_VALH",
    "M_E_H",
    "M_LOG2E_H",
    "M_LOG10E_H",
    "M_LN2_H",
    "M_LN10_H",
    "M_PI_H",
    "M_PI_2_H",
    "M_PI_4_H",
    "M_1_PI_H",
    "M_2_PI_H",
    "M_2_SQRTPI_H",
    "M_SQRT2_H",
    "M_SQRT1_2_H",
    "DBL_DIG",
    "DBL_MANT_DIG",
    "DBL_MAX_10_EXP",
    "DBL_MAX_EXP",
    "DBL_MIN_10_EXP",
    "DBL_MIN_EXP",
    "DBL_RADIX",
    "DBL_MAX",
    "DBL_MIN",
    "DBL_EPSILON",
    "DBL_DECIMAL_DIG",
    "MAXDOUBLE",
    "HUGE_VAL",
    "M_E",
    "M_LOG2E",
    "M_LOG10E",
    "M_LN2",
    "M_LN10",
    "M_PI",
    "M_PI_2",
    "M_PI_4",
    "M_1_PI",
    "M_2_PI",
    "M_2_SQRTPI",
    "M_SQRT2",
    "M_SQRT1_2",
    // Naga utilities
    "DefaultConstructible",
    "clamped_lod_e",
];


================================================
FILE: lib/naga/src/back/msl/mod.rs
================================================
/*!
Backend for [MSL][msl] (Metal Shading Language).

## Binding model

Metal's bindings are flat per resource. Since there isn't an obvious mapping
from SPIR-V's descriptor sets, we require a separate mapping provided in the options.
This mapping may have one or more resource end points for each descriptor set + index
pair.

## Entry points

Even though MSL and our IR appear to be similar in that the entry points in both can
accept arguments and return values, the restrictions are different.
MSL allows the varyings to be either in separate arguments, or inside a single
`[[stage_in]]` struct. We gather input varyings and form this artificial structure.
We also add all the (non-Private) globals into the arguments.

At the beginning of the entry point, we assign the local constants and re-compose
the arguments as they are declared on IR side, so that the rest of the logic can
pretend that MSL doesn't have all the restrictions it has.

For the result type, if it's a structure, we re-compose it with a temporary value
holding the result.

[msl]: https://developer.apple.com/metal/Metal-Shading-Language-Specification.pdf
*/

use crate::{arena::Handle, proc::index, valid::ModuleInfo};
use std::{
    fmt::{Error as FmtError, Write},
    ops,
};

mod keywords;
pub mod sampler;
mod writer;

pub use writer::Writer;

pub type Slot = u8;
pub type InlineSamplerIndex = u8;

#[derive(Clone, Debug, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub enum BindSamplerTarget {
    Resource(Slot),
    Inline(InlineSamplerIndex),
}

#[derive(Clone, Debug, Default, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
#[cfg_attr(any(feature = "serialize", feature = "deserialize"), serde(default))]
pub struct BindTarget {
    pub buffer: Option<Slot>,
    pub texture: Option<Slot>,
    pub sampler: Option<BindSamplerTarget>,
    /// If the binding is an unsized binding array, this overrides the size.
    pub binding_array_size: Option<u32>,
    pub mutable: bool,
}

// Using `BTreeMap` instead of `HashMap` so that we can hash itself.
pub type BindingMap = std::collections::BTreeMap<crate::ResourceBinding, BindTarget>;

#[derive(Clone, Debug, Default, Hash, Eq, PartialEq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
#[cfg_attr(any(feature = "serialize", feature = "deserialize"), serde(default))]
pub struct PerStageResources {
    pub resources: BindingMap,

    pub push_constant_buffer: Option<Slot>,

    /// The slot of a buffer that contains an array of `u32`,
    /// one for the size of each bound buffer that contains a runtime array,
    /// in order of [`crate::GlobalVariable`] declarations.
    pub sizes_buffer: Option<Slot>,
}

#[derive(Clone, Debug, Default, Hash, Eq, PartialEq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
#[cfg_attr(any(feature = "serialize", feature = "deserialize"), serde(default))]
pub struct PerStageMap {
    pub vs: PerStageResources,
    pub fs: PerStageResources,
    pub cs: PerStageResources,
}

impl ops::Index<crate::ShaderStage> for PerStageMap {
    type Output = PerStageResources;
    fn index(&self, stage: crate::ShaderStage) -> &PerStageResources {
        match stage {
            crate::ShaderStage::Vertex => &self.vs,
            crate::ShaderStage::Fragment => &self.fs,
            crate::ShaderStage::Compute => &self.cs,
        }
    }
}

enum ResolvedBinding {
    BuiltIn(crate::BuiltIn),
    Attribute(u32),
    Color(u32),
    User {
        prefix: &'static str,
        index: u32,
        interpolation: Option<ResolvedInterpolation>,
    },
    Resource(BindTarget),
}

#[derive(Copy, Clone)]
enum ResolvedInterpolation {
    CenterPerspective,
    CenterNoPerspective,
    CentroidPerspective,
    CentroidNoPerspective,
    SamplePerspective,
    SampleNoPerspective,
    Flat,
}

// Note: some of these should be removed in favor of proper IR validation.

#[derive(Debug, thiserror::Error)]
pub enum Error {
    #[error(transparent)]
    Format(#[from] FmtError),
    #[error("bind target {0:?} is empty")]
    UnimplementedBindTarget(BindTarget),
    #[error("composing of {0:?} is not implemented yet")]
    UnsupportedCompose(Handle<crate::Type>),
    #[error("operation {0:?} is not implemented yet")]
    UnsupportedBinaryOp(crate::BinaryOperator),
    #[error("standard function '{0}' is not implemented yet")]
    UnsupportedCall(String),
    #[error("feature '{0}' is not implemented yet")]
    FeatureNotImplemented(String),
    #[error("module is not valid")]
    Validation,
    #[error("BuiltIn {0:?} is not supported")]
    UnsupportedBuiltIn(crate::BuiltIn),
    #[error("capability {0:?} is not supported")]
    CapabilityNotSupported(crate::valid::Capabilities),
    #[error("address space {0:?} is not supported for target MSL version")]
    UnsupportedAddressSpace(crate::AddressSpace),
    #[error("attribute '{0}' is not supported for target MSL version")]
    UnsupportedAttribute(String),
}

#[derive(Clone, Debug, PartialEq, thiserror::Error)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub enum EntryPointError {
    #[error("mapping of {0:?} is missing")]
    MissingBinding(crate::ResourceBinding),
    #[error("mapping for push constants is missing")]
    MissingPushConstants,
    #[error("mapping for sizes buffer is missing")]
    MissingSizesBuffer,
}

/// Points in the MSL code where we might emit a pipeline input or output.
///
/// Note that, even though vertex shaders' outputs are always fragment
/// shaders' inputs, we still need to distinguish `VertexOutput` and
/// `FragmentInput`, since there are certain differences in the way
/// [`ResolvedBinding`s] are represented on either side.
///
/// [`ResolvedBinding`s]: ResolvedBinding
#[derive(Clone, Copy, Debug)]
enum LocationMode {
    /// Input to the vertex shader.
    VertexInput,

    /// Output from the vertex shader.
    VertexOutput,

    /// Input to the fragment shader.
    FragmentInput,

    /// Output from the fragment shader.
    FragmentOutput,

    /// Compute shader input or output.
    Uniform,
}

#[derive(Clone, Debug, Hash, PartialEq, Eq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct Options {
    /// (Major, Minor) target version of the Metal Shading Language.
    pub lang_version: (u8, u8),
    /// Map of per-stage resources to slots.
    pub per_stage_map: PerStageMap,
    /// Samplers to be inlined into the code.
    pub inline_samplers: Vec<sampler::InlineSampler>,
    /// Make it possible to link different stages via SPIRV-Cross.
    pub spirv_cross_compatibility: bool,
    /// Don't panic on missing bindings, instead generate invalid MSL.
    pub fake_missing_bindings: bool,
    /// Bounds checking policies.
    #[cfg_attr(feature = "deserialize", serde(default))]
    pub bounds_check_policies: index::BoundsCheckPolicies,
}

impl Default for Options {
    fn default() -> Self {
        Options {
            lang_version: (2, 0),
            per_stage_map: PerStageMap::default(),
            inline_samplers: Vec::new(),
            spirv_cross_compatibility: false,
            fake_missing_bindings: true,
            bounds_check_policies: index::BoundsCheckPolicies::default(),
        }
    }
}

/// A subset of options that are meant to be changed per pipeline.
#[derive(Debug, Default, Clone, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct PipelineOptions {
    /// Allow `BuiltIn::PointSize` in the vertex shader.
    ///
    /// Metal doesn't like this for non-point primitive topologies.
    pub allow_point_size: bool,
}

impl Options {
    fn resolve_local_binding(
        &self,
        binding: &crate::Binding,
        mode: LocationMode,
    ) -> Result<ResolvedBinding, Error> {
        match *binding {
            crate::Binding::BuiltIn(mut built_in) => {
                if let crate::BuiltIn::Position { ref mut invariant } = built_in {
                    if *invariant && self.lang_version < (2, 1) {
                        return Err(Error::UnsupportedAttribute("invariant".to_string()));
                    }

                    // The 'invariant' attribute may only appear on vertex
                    // shader outputs, not fragment shader inputs.
                    if !matches!(mode, LocationMode::VertexOutput) {
                        *invariant = false;
                    }
                }

                Ok(ResolvedBinding::BuiltIn(built_in))
            }
            crate::Binding::Location {
                location,
                interpolation,
                sampling,
            } => match mode {
                LocationMode::VertexInput => Ok(ResolvedBinding::Attribute(location)),
                LocationMode::FragmentOutput => Ok(ResolvedBinding::Color(location)),
                LocationMode::VertexOutput | LocationMode::FragmentInput => {
                    Ok(ResolvedBinding::User {
                        prefix: if self.spirv_cross_compatibility {
                            "locn"
                        } else {
                            "loc"
                        },
                        index: location,
                        interpolation: {
                            // unwrap: The verifier ensures that vertex shader outputs and fragment
                            // shader inputs always have fully specified interpolation, and that
                            // sampling is `None` only for Flat interpolation.
                            let interpolation = interpolation.unwrap();
                            let sampling = sampling.unwrap_or(crate::Sampling::Center);
                            Some(ResolvedInterpolation::from_binding(interpolation, sampling))
                        },
                    })
                }
                LocationMode::Uniform => {
                    log::error!(
                        "Unexpected Binding::Location({}) for the Uniform mode",
                        location
                    );
                    Err(Error::Validation)
                }
            },
        }
    }

    fn resolve_resource_binding(
        &self,
        stage: crate::ShaderStage,
        res_binding: &crate::ResourceBinding,
    ) -> Result<ResolvedBinding, EntryPointError> {
        match self.per_stage_map[stage].resources.get(res_binding) {
            Some(target) => Ok(ResolvedBinding::Resource(target.clone())),
            None if self.fake_missing_bindings => Ok(ResolvedBinding::User {
                prefix: "fake",
                index: 0,
                interpolation: None,
            }),
            None => Err(EntryPointError::MissingBinding(res_binding.clone())),
        }
    }

    const fn resolve_push_constants(
        &self,
        stage: crate::ShaderStage,
    ) -> Result<ResolvedBinding, EntryPointError> {
        let slot = match stage {
            crate::ShaderStage::Vertex => self.per_stage_map.vs.push_constant_buffer,
            crate::ShaderStage::Fragment => self.per_stage_map.fs.push_constant_buffer,
            crate::ShaderStage::Compute => self.per_stage_map.cs.push_constant_buffer,
        };
        match slot {
            Some(slot) => Ok(ResolvedBinding::Resource(BindTarget {
                buffer: Some(slot),
                texture: None,
                sampler: None,
                binding_array_size: None,
                mutable: false,
            })),
            None if self.fake_missing_bindings => Ok(ResolvedBinding::User {
                prefix: "fake",
                index: 0,
                interpolation: None,
            }),
            None => Err(EntryPointError::MissingPushConstants),
        }
    }

    fn resolve_sizes_buffer(
        &self,
        stage: crate::ShaderStage,
    ) -> Result<ResolvedBinding, EntryPointError> {
        let slot = self.per_stage_map[stage].sizes_buffer;
        match slot {
            Some(slot) => Ok(ResolvedBinding::Resource(BindTarget {
                buffer: Some(slot),
                texture: None,
                sampler: None,
                binding_array_size: None,
                mutable: false,
            })),
            None if self.fake_missing_bindings => Ok(ResolvedBinding::User {
                prefix: "fake",
                index: 0,
                interpolation: None,
            }),
            None => Err(EntryPointError::MissingSizesBuffer),
        }
    }
}

impl ResolvedBinding {
    fn as_inline_sampler<'a>(&self, options: &'a Options) -> Option<&'a sampler::InlineSampler> {
        match *self {
            Self::Resource(BindTarget {
                sampler: Some(BindSamplerTarget::Inline(index)),
                ..
            }) => Some(&options.inline_samplers[index as usize]),
            _ => None,
        }
    }

    const fn as_bind_target(&self) -> Option<&BindTarget> {
        match *self {
            Self::Resource(ref target) => Some(target),
            _ => None,
        }
    }

    fn try_fmt<W: Write>(&self, out: &mut W) -> Result<(), Error> {
        write!(out, " [[")?;
        match *self {
            Self::BuiltIn(built_in) => {
                use crate::BuiltIn as Bi;
                let name = match built_in {
                    Bi::Position { invariant: false } => "position",
                    Bi::Position { invariant: true } => "position, invariant",
                    // vertex
                    Bi::BaseInstance => "base_instance",
                    Bi::BaseVertex => "base_vertex",
                    Bi::ClipDistance => "clip_distance",
                    Bi::InstanceIndex => "instance_id",
                    Bi::PointSize => "point_size",
                    Bi::VertexIndex => "vertex_id",
                    // fragment
                    Bi::FragDepth => "depth(any)",
                    Bi::FrontFacing => "front_facing",
                    Bi::PrimitiveIndex => "primitive_id",
                    Bi::SampleIndex => "sample_id",
                    Bi::SampleMask => "sample_mask",
                    // compute
                    Bi::GlobalInvocationId => "thread_position_in_grid",
                    Bi::LocalInvocationId => "thread_position_in_threadgroup",
                    Bi::LocalInvocationIndex => "thread_index_in_threadgroup",
                    Bi::WorkGroupId => "threadgroup_position_in_grid",
                    Bi::WorkGroupSize => "dispatch_threads_per_threadgroup",
                    Bi::NumWorkGroups => "threadgroups_per_grid",
                    Bi::CullDistance | Bi::ViewIndex => {
                        return Err(Error::UnsupportedBuiltIn(built_in))
                    }
                };
                write!(out, "{}", name)?;
            }
            Self::Attribute(index) => write!(out, "attribute({})", index)?,
            Self::Color(index) => write!(out, "color({})", index)?,
            Self::User {
                prefix,
                index,
                interpolation,
            } => {
                write!(out, "user({}{})", prefix, index)?;
                if let Some(interpolation) = interpolation {
                    write!(out, ", ")?;
                    interpolation.try_fmt(out)?;
                }
            }
            Self::Resource(ref target) => {
                if let Some(id) = target.buffer {
                    write!(out, "buffer({})", id)?;
                } else if let Some(id) = target.texture {
                    write!(out, "texture({})", id)?;
                } else if let Some(BindSamplerTarget::Resource(id)) = target.sampler {
                    write!(out, "sampler({})", id)?;
                } else {
                    return Err(Error::UnimplementedBindTarget(target.clone()));
                }
            }
        }
        write!(out, "]]")?;
        Ok(())
    }
}

impl ResolvedInterpolation {
    const fn from_binding(interpolation: crate::Interpolation, sampling: crate::Sampling) -> Self {
        use crate::Interpolation as I;
        use crate::Sampling as S;

        match (interpolation, sampling) {
            (I::Perspective, S::Center) => Self::CenterPerspective,
            (I::Perspective, S::Centroid) => Self::CentroidPerspective,
            (I::Perspective, S::Sample) => Self::SamplePerspective,
            (I::Linear, S::Center) => Self::CenterNoPerspective,
            (I::Linear, S::Centroid) => Self::CentroidNoPerspective,
            (I::Linear, S::Sample) => Self::SampleNoPerspective,
            (I::Flat, _) => Self::Flat,
        }
    }

    fn try_fmt<W: Write>(self, out: &mut W) -> Result<(), Error> {
        let identifier = match self {
            Self::CenterPerspective => "center_perspective",
            Self::CenterNoPerspective => "center_no_perspective",
            Self::CentroidPerspective => "centroid_perspective",
            Self::CentroidNoPerspective => "centroid_no_perspective",
            Self::SamplePerspective => "sample_perspective",
            Self::SampleNoPerspective => "sample_no_perspective",
            Self::Flat => "flat",
        };
        out.write_str(identifier)?;
        Ok(())
    }
}

/// Information about a translated module that is required
/// for the use of the result.
pub struct TranslationInfo {
    /// Mapping of the entry point names. Each item in the array
    /// corresponds to an entry point index.
    ///
    ///Note: Some entry points may fail translation because of missing bindings.
    pub entry_point_names: Vec<Result<String, EntryPointError>>,
}

pub fn write_string(
    module: &crate::Module,
    info: &ModuleInfo,
    options: &Options,
    pipeline_options: &PipelineOptions,
) -> Result<(String, TranslationInfo), Error> {
    let mut w = writer::Writer::new(String::new());
    let info = w.write(module, info, options, pipeline_options)?;
    Ok((w.finish(), info))
}

#[test]
fn test_error_size() {
    use std::mem::size_of;
    assert_eq!(size_of::<Error>(), 32);
}


================================================
FILE: lib/naga/src/back/msl/sampler.rs
================================================
#[cfg(feature = "deserialize")]
use serde::Deserialize;
#[cfg(feature = "serialize")]
use serde::Serialize;
use std::{num::NonZeroU32, ops::Range};

#[derive(Clone, Copy, Debug, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
pub enum Coord {
    Normalized,
    Pixel,
}

impl Default for Coord {
    fn default() -> Self {
        Self::Normalized
    }
}

impl Coord {
    pub const fn as_str(&self) -> &'static str {
        match *self {
            Self::Normalized => "normalized",
            Self::Pixel => "pixel",
        }
    }
}

#[derive(Clone, Copy, Debug, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
pub enum Address {
    Repeat,
    MirroredRepeat,
    ClampToEdge,
    ClampToZero,
    ClampToBorder,
}

impl Default for Address {
    fn default() -> Self {
        Self::ClampToEdge
    }
}

impl Address {
    pub const fn as_str(&self) -> &'static str {
        match *self {
            Self::Repeat => "repeat",
            Self::MirroredRepeat => "mirrored_repeat",
            Self::ClampToEdge => "clamp_to_edge",
            Self::ClampToZero => "clamp_to_zero",
            Self::ClampToBorder => "clamp_to_border",
        }
    }
}

#[derive(Clone, Copy, Debug, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
pub enum BorderColor {
    TransparentBlack,
    OpaqueBlack,
    OpaqueWhite,
}

impl Default for BorderColor {
    fn default() -> Self {
        Self::TransparentBlack
    }
}

impl BorderColor {
    pub const fn as_str(&self) -> &'static str {
        match *self {
            Self::TransparentBlack => "transparent_black",
            Self::OpaqueBlack => "opaque_black",
            Self::OpaqueWhite => "opaque_white",
        }
    }
}

#[derive(Clone, Copy, Debug, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
pub enum Filter {
    Nearest,
    Linear,
}

impl Filter {
    pub const fn as_str(&self) -> &'static str {
        match *self {
            Self::Nearest => "nearest",
            Self::Linear => "linear",
        }
    }
}

impl Default for Filter {
    fn default() -> Self {
        Self::Nearest
    }
}

#[derive(Clone, Copy, Debug, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
pub enum CompareFunc {
    Never,
    Less,
    LessEqual,
    Greater,
    GreaterEqual,
    Equal,
    NotEqual,
    Always,
}

impl Default for CompareFunc {
    fn default() -> Self {
        Self::Never
    }
}

impl CompareFunc {
    pub const fn as_str(&self) -> &'static str {
        match *self {
            Self::Never => "never",
            Self::Less => "less",
            Self::LessEqual => "less_equal",
            Self::Greater => "greater",
            Self::GreaterEqual => "greater_equal",
            Self::Equal => "equal",
            Self::NotEqual => "not_equal",
            Self::Always => "always",
        }
    }
}

#[derive(Clone, Debug, Default, PartialEq)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
pub struct InlineSampler {
    pub coord: Coord,
    pub address: [Address; 3],
    pub border_color: BorderColor,
    pub mag_filter: Filter,
    pub min_filter: Filter,
    pub mip_filter: Option<Filter>,
    pub lod_clamp: Option<Range<f32>>,
    pub max_anisotropy: Option<NonZeroU32>,
    pub compare_func: CompareFunc,
}

impl Eq for InlineSampler {}

#[allow(clippy::derive_hash_xor_eq)]
impl std::hash::Hash for InlineSampler {
    fn hash<H: std::hash::Hasher>(&self, hasher: &mut H) {
        self.coord.hash(hasher);
        self.address.hash(hasher);
        self.border_color.hash(hasher);
        self.mag_filter.hash(hasher);
        self.min_filter.hash(hasher);
        self.mip_filter.hash(hasher);
        self.lod_clamp
            .as_ref()
            .map(|range| (range.start.to_bits(), range.end.to_bits()))
            .hash(hasher);
        self.max_anisotropy.hash(hasher);
        self.compare_func.hash(hasher);
    }
}


================================================
FILE: lib/naga/src/back/msl/writer.rs
================================================
use super::{sampler as sm, Error, LocationMode, Options, PipelineOptions, TranslationInfo};
use crate::{
    arena::Handle,
    back,
    proc::index,
    proc::{self, NameKey, TypeResolution},
    valid, FastHashMap, FastHashSet,
};
use bit_set::BitSet;
use std::{
    fmt::{Display, Error as FmtError, Formatter, Write},
    iter,
};

/// Shorthand result used internally by the backend
type BackendResult = Result<(), Error>;

const NAMESPACE: &str = "metal";
// The name of the array member of the Metal struct types we generate to
// represent Naga `Array` types. See the comments in `Writer::write_type_defs`
// for details.
const WRAPPED_ARRAY_FIELD: &str = "inner";
// This is a hack: we need to pass a pointer to an atomic,
// but generally the backend isn't putting "&" in front of every pointer.
// Some more general handling of pointers is needed to be implemented here.
const ATOMIC_REFERENCE: &str = "&";

/// Write the Metal name for a Naga numeric type: scalar, vector, or matrix.
///
/// The `sizes` slice determines whether this function writes a
/// scalar, vector, or matrix type:
///
/// - An empty slice produces a scalar type.
/// - A one-element slice produces a vector type.
/// - A two element slice `[ROWS COLUMNS]` produces a matrix of the given size.
fn put_numeric_type(
    out: &mut impl Write,
    kind: crate::ScalarKind,
    sizes: &[crate::VectorSize],
) -> Result<(), FmtError> {
    match (kind, sizes) {
        (kind, &[]) => {
            write!(out, "{}", kind.to_msl_name())
        }
        (kind, &[rows]) => {
            write!(
                out,
                "{}::{}{}",
                NAMESPACE,
                kind.to_msl_name(),
                back::vector_size_str(rows)
            )
        }
        (kind, &[rows, columns]) => {
            write!(
                out,
                "{}::{}{}x{}",
                NAMESPACE,
                kind.to_msl_name(),
                back::vector_size_str(columns),
                back::vector_size_str(rows)
            )
        }
        (_, _) => Ok(()), // not meaningful
    }
}

/// Prefix for cached clamped level-of-detail values for `ImageLoad` expressions.
const CLAMPED_LOD_LOAD_PREFIX: &str = "clamped_lod_e";

struct TypeContext<'a> {
    handle: Handle<crate::Type>,
    module: &'a crate::Module,
    names: &'a FastHashMap<NameKey, String>,
    access: crate::StorageAccess,
    binding: Option<&'a super::ResolvedBinding>,
    first_time: bool,
}

impl<'a> Display for TypeContext<'a> {
    fn fmt(&self, out: &mut Formatter<'_>) -> Result<(), FmtError> {
        let ty = &self.module.types[self.handle];
        if ty.needs_alias() && !self.first_time {
            let name = &self.names[&NameKey::Type(self.handle)];
            return write!(out, "{}", name);
        }

        match ty.inner {
            crate::TypeInner::Scalar { kind, .. } => put_numeric_type(out, kind, &[]),
            crate::TypeInner::Atomic { kind, .. } => {
                write!(out, "{}::atomic_{}", NAMESPACE, kind.to_msl_name())
            }
            crate::TypeInner::Vector { size, kind, .. } => put_numeric_type(out, kind, &[size]),
            crate::TypeInner::Matrix { columns, rows, .. } => {
                put_numeric_type(out, crate::ScalarKind::Float, &[rows, columns])
            }
            crate::TypeInner::Pointer { base, space } => {
                let sub = Self {
                    handle: base,
                    first_time: false,
                    ..*self
                };
                let space_name = match space.to_msl_name() {
                    Some(name) => name,
                    None => return Ok(()),
                };
                write!(out, "{} {}&", space_name, sub)
            }
            crate::TypeInner::ValuePointer {
                size,
                kind,
                width: _,
                space,
            } => {
                match space.to_msl_name() {
                    Some(name) => write!(out, "{} ", name)?,
                    None => return Ok(()),
                };
                match size {
                    Some(rows) => put_numeric_type(out, kind, &[rows])?,
                    None => put_numeric_type(out, kind, &[])?,
                };

                write!(out, "&")
            }
            crate::TypeInner::Array { base, .. } => {
                let sub = Self {
                    handle: base,
                    first_time: false,
                    ..*self
                };
                // Array lengths go at the end of the type definition,
                // so just print the element type here.
                write!(out, "{}", sub)
            }
            crate::TypeInner::Struct { .. } => unreachable!(),
            crate::TypeInner::Image {
                dim,
                arrayed,
                class,
            } => {
                let dim_str = match dim {
                    crate::ImageDimension::D1 => "1d",
                    crate::ImageDimension::D2 => "2d",
                    crate::ImageDimension::D3 => "3d",
                    crate::ImageDimension::Cube => "cube",
                };
                let (texture_str, msaa_str, kind, access) = match class {
                    crate::ImageClass::Sampled { kind, multi } => {
                        let (msaa_str, access) = if multi {
                            ("_ms", "read")
                        } else {
                            ("", "sample")
                        };
                        ("texture", msaa_str, kind, access)
                    }
                    crate::ImageClass::Depth { multi } => {
                        let (msaa_str, access) = if multi {
                            ("_ms", "read")
                        } else {
                            ("", "sample")
                        };
                        ("depth", msaa_str, crate::ScalarKind::Float, access)
                    }
                    crate::ImageClass::Storage { format, .. } => {
                        let access = if self
                            .access
                            .contains(crate::StorageAccess::LOAD | crate::StorageAccess::STORE)
                        {
                            "read_write"
                        } else if self.access.contains(crate::StorageAccess::STORE) {
                            "write"
                        } else if self.access.contains(crate::StorageAccess::LOAD) {
                            "read"
                        } else {
                            log::warn!(
                                "Storage access for {:?} (name '{}'): {:?}",
                                self.handle,
                                ty.name.as_deref().unwrap_or_default(),
                                self.access
                            );
                            unreachable!("module is not valid");
                        };
                        ("texture", "", format.into(), access)
                    }
                };
                let base_name = kind.to_msl_name();
                let array_str = if arrayed { "_array" } else { "" };
                write!(
                    out,
                    "{}::{}{}{}{}<{}, {}::access::{}>",
                    NAMESPACE,
                    texture_str,
                    dim_str,
                    msaa_str,
                    array_str,
                    base_name,
                    NAMESPACE,
                    access,
                )
            }
            crate::TypeInner::Sampler { comparison: _ } => {
                write!(out, "{}::sampler", NAMESPACE)
            }
            crate::TypeInner::BindingArray { base, size } => {
                let base_tyname = Self {
                    handle: base,
                    first_time: false,
                    ..*self
                };

                if let Some(&super::ResolvedBinding::Resource(super::BindTarget {
                    binding_array_size: Some(override_size),
                    ..
                })) = self.binding
                {
                    write!(
                        out,
                        "{}::array<{}, {}>",
                        NAMESPACE, base_tyname, override_size
                    )
                } else if let crate::ArraySize::Constant(size) = size {
                    let constant_ctx = ConstantContext {
                        handle: size,
                        arena: &self.module.constants,
                        names: self.names,
                        first_time: false,
                    };
                    write!(
                        out,
                        "{}::array<{}, {}>",
                        NAMESPACE, base_tyname, constant_ctx
                    )
                } else {
                    unreachable!("metal requires all arrays be constant sized");
                }
            }
        }
    }
}

struct TypedGlobalVariable<'a> {
    module: &'a crate::Module,
    names: &'a FastHashMap<NameKey, String>,
    handle: Handle<crate::GlobalVariable>,
    usage: valid::GlobalUse,
    binding: Option<&'a super::ResolvedBinding>,
    reference: bool,
}

impl<'a> TypedGlobalVariable<'a> {
    fn try_fmt<W: Write>(&self, out: &mut W) -> BackendResult {
        let var = &self.module.global_variables[self.handle];
        let name = &self.names[&NameKey::GlobalVariable(self.handle)];

        let storage_access = match var.space {
            crate::AddressSpace::Storage { access } => access,
            _ => match self.module.types[var.ty].inner {
                crate::TypeInner::Image {
                    class: crate::ImageClass::Storage { access, .. },
                    ..
                } => access,
                crate::TypeInner::BindingArray { base, .. } => {
                    match self.module.types[base].inner {
                        crate::TypeInner::Image {
                            class: crate::ImageClass::Storage { access, .. },
                            ..
                        } => access,
                        _ => crate::StorageAccess::default(),
                    }
                }
                _ => crate::StorageAccess::default(),
            },
        };
        let ty_name = TypeContext {
            handle: var.ty,
            module: self.module,
            names: self.names,
            access: storage_access,
            binding: self.binding,
            first_time: false,
        };

        let (space, access, reference) = match var.space.to_msl_name() {
            Some(space) if self.reference => {
                let access = if var.space.needs_access_qualifier()
                    && !self.usage.contains(valid::GlobalUse::WRITE)
                {
                    "const"
                } else {
                    ""
                };
                (space, access, "&")
            }
            _ => ("", "", ""),
        };

        Ok(write!(
            out,
            "{}{}{}{}{}{} {}",
            space,
            if space.is_empty() { "" } else { " " },
            ty_name,
            if access.is_empty() { "" } else { " " },
            access,
            reference,
            name,
        )?)
    }
}

struct ConstantContext<'a> {
    handle: Handle<crate::Constant>,
    arena: &'a crate::Arena<crate::Constant>,
    names: &'a FastHashMap<NameKey, String>,
    first_time: bool,
}

impl<'a> Display for ConstantContext<'a> {
    fn fmt(&self, out: &mut Formatter<'_>) -> Result<(), FmtError> {
        let con = &self.arena[self.handle];
        if con.needs_alias() && !self.first_time {
            let name = &self.names[&NameKey::Constant(self.handle)];
            return write!(out, "{}", name);
        }

        match con.inner {
            crate::ConstantInner::Scalar { value, width: _ } => match value {
                crate::ScalarValue::Sint(value) => {
                    write!(out, "{}", value)
                }
                crate::ScalarValue::Uint(value) => {
                    write!(out, "{}u", value)
                }
                crate::ScalarValue::Float(value) => {
                    if value.is_infinite() {
                        let sign = if value.is_sign_negative() { "-" } else { "" };
                        write!(out, "{}INFINITY", sign)
                    } else if value.is_nan() {
                        write!(out, "NAN")
                    } else {
                        let suffix = if value.fract() == 0.0 { ".0" } else { "" };

                        write!(out, "{}{}", value, suffix)
                    }
                }
                crate::ScalarValue::Bool(value) => {
                    write!(out, "{}", value)
                }
            },
            crate::ConstantInner::Composite { .. } => unreachable!("should be aliased"),
        }
    }
}

pub struct Writer<W> {
    out: W,
    names: FastHashMap<NameKey, String>,
    named_expressions: crate::NamedExpressions,
    /// Set of expressions that need to be baked to avoid unnecessary repetition in output
    need_bake_expressions: back::NeedBakeExpressions,
    namer: proc::Namer,
    #[cfg(test)]
    put_expression_stack_pointers: FastHashSet<*const ()>,
    #[cfg(test)]
    put_block_stack_pointers: FastHashSet<*const ()>,
    /// Set of (struct type, struct field index) denoting which fields require
    /// padding inserted **before** them (i.e. between fields at index - 1 and index)
    struct_member_pads: FastHashSet<(Handle<crate::Type>, u32)>,
}

impl crate::ScalarKind {
    const fn to_msl_name(self) -> &'static str {
        match self {
            Self::Float => "float",
            Self::Sint => "int",
            Self::Uint => "uint",
            Self::Bool => "bool",
        }
    }
}

const fn separate(need_separator: bool) -> &'static str {
    if need_separator {
        ","
    } else {
        ""
    }
}

fn should_pack_struct_member(
    members: &[crate::StructMember],
    span: u32,
    index: usize,
    module: &crate::Module,
) -> Option<crate::ScalarKind> {
    let member = &members[index];
    //Note: this is imperfect - the same structure can be used for host-shared
    // things, where packed float would matter.
    if member.binding.is_some() {
        return None;
    }

    let ty_inner = &module.types[member.ty].inner;
    let last_offset = member.offset + ty_inner.size(&module.constants);
    let next_offset = match members.get(index + 1) {
        Some(next) => next.offset,
        None => span,
    };
    let is_tight = next_offset == last_offset;

    match *ty_inner {
        crate::TypeInner::Vector {
            size: crate::VectorSize::Tri,
            width: 4,
            kind,
        } if member.offset & 0xF != 0 || is_tight => Some(kind),
        _ => None,
    }
}

fn needs_array_length(ty: Handle<crate::Type>, arena: &crate::UniqueArena<crate::Type>) -> bool {
    match arena[ty].inner {
        crate::TypeInner::Struct { ref members, .. } => {
            if let Some(member) = members.last() {
                if let crate::TypeInner::Array {
                    size: crate::ArraySize::Dynamic,
                    ..
                } = arena[member.ty].inner
                {
                    return true;
                }
            }
            false
        }
        crate::TypeInner::Array {
            size: crate::ArraySize::Dynamic,
            ..
        } => true,
        _ => false,
    }
}

impl crate::AddressSpace {
    /// Returns true if global variables in this address space are
    /// passed in function arguments. These arguments need to be
    /// passed through any functions called from the entry point.
    const fn needs_pass_through(&self) -> bool {
        match *self {
            Self::Uniform
            | Self::Storage { .. }
            | Self::Private
            | Self::WorkGroup
            | Self::PushConstant
            | Self::Handle => true,
            Self::Function => false,
        }
    }

    /// Returns true if the address space may need a "const" qualifier.
    const fn needs_access_qualifier(&self) -> bool {
        match *self {
            //Note: we are ignoring the storage access here, and instead
            // rely on the actual use of a global by functions. This means we
            // may end up with "const" even if the binding is read-write,
            // and that should be OK.
            Self::Storage { .. } => true,
            // These should always be read-write.
            Self::Private | Self::WorkGroup => false,
            // These translate to `constant` address space, no need for qualifiers.
            Self::Uniform | Self::PushConstant => false,
            // Not applicable.
            Self::Handle | Self::Function => false,
        }
    }

    const fn to_msl_name(self) -> Option<&'static str> {
        match self {
            Self::Handle => None,
            Self::Uniform | Self::PushConstant => Some("constant"),
            Self::Storage { .. } => Some("device"),
            Self::Private | Self::Function => Some("thread"),
            Self::WorkGroup => Some("threadgroup"),
        }
    }
}

impl crate::Type {
    // Returns `true` if we need to emit an alias for this type.
    const fn needs_alias(&self) -> bool {
        use crate::TypeInner as Ti;

        match self.inner {
            // value types are concise enough, we only alias them if they are named
            Ti::Scalar { .. }
            | Ti::Vector { .. }
            | Ti::Matrix { .. }
            | Ti::Atomic { .. }
            | Ti::Pointer { .. }
            | Ti::ValuePointer { .. } => self.name.is_some(),
            // composite types are better to be aliased, regardless of the name
            Ti::Struct { .. } | Ti::Array { .. } => true,
            // handle types may be different, depending on the global var access, so we always inline them
            Ti::Image { .. } | Ti::Sampler { .. } | Ti::BindingArray { .. } => false,
        }
    }
}

impl crate::Constant {
    // Returns `true` if we need to emit an alias for this constant.
    const fn needs_alias(&self) -> bool {
        match self.inner {
            crate::ConstantInner::Scalar { .. } => self.name.is_some(),
            crate::ConstantInner::Composite { .. } => true,
        }
    }
}

enum FunctionOrigin {
    Handle(Handle<crate::Function>),
    EntryPoint(proc::EntryPointIndex),
}

/// A level of detail argument.
///
/// When [`BoundsCheckPolicy::Restrict`] applies to an [`ImageLoad`] access, we
/// save the clamped level of detail in a temporary variable whose name is based
/// on the handle of the `ImageLoad` expression. But for other policies, we just
/// use the expression directly.
///
/// [`BoundsCheckPolicy::Restrict`]: index::BoundsCheckPolicy::Restrict
/// [`ImageLoad`]: crate::Expression::ImageLoad
#[derive(Clone, Copy)]
enum LevelOfDetail {
    Direct(Handle<crate::Expression>),
    Restricted(Handle<crate::Expression>),
}

/// Values needed to select a particular texel for [`ImageLoad`] and [`ImageStore`].
///
/// When this is used in code paths unconcerned with the `Restrict` bounds check
/// policy, the `LevelOfDetail` enum introduces an unneeded match, since `level`
/// will always be either `None` or `Some(Direct(_))`. But this turns out not to
/// be too awkward. If that changes, we can revisit.
///
/// [`ImageLoad`]: crate::Expression::ImageLoad
/// [`ImageStore`]: crate::Statement::ImageStore
struct TexelAddress {
    coordinate: Handle<crate::Expression>,
    array_index: Option<Handle<crate::Expression>>,
    sample: Option<Handle<crate::Expression>>,
    level: Option<LevelOfDetail>,
}

struct ExpressionContext<'a> {
    function: &'a crate::Function,
    origin: FunctionOrigin,
    info: &'a valid::FunctionInfo,
    module: &'a crate::Module,
    pipeline_options: &'a PipelineOptions,
    policies: index::BoundsCheckPolicies,

    /// A bitset containing the `Expression` handle indexes of expressions used
    /// as indices in `ReadZeroSkipWrite`-policy accesses. These may need to be
    /// cached in temporary variables. See `index::find_checked_indexes` for
    /// details.
    guarded_indices: BitSet,
}

impl<'a> ExpressionContext<'a> {
    fn resolve_type(&self, handle: Handle<crate::Expression>) -> &'a crate::TypeInner {
        self.info[handle].ty.inner_with(&self.module.types)
    }

    /// Return true if calls to `image`'s `read` and `write` methods should supply a level of detail.
    ///
    /// Only mipmapped images need to specify a level of detail. Since 1D
    /// textures cannot have mipmaps, MSL requires that the level argument to
    /// texture1d queries and accesses must be a constexpr 0. It's easiest
    /// just to omit the level entirely for 1D textures.
    fn image_needs_lod(&self, image: Handle<crate::Expression>) -> bool {
        let image_ty = self.resolve_type(image);
        if let crate::TypeInner::Image { dim, class, .. } = *image_ty {
            class.is_mipmapped() && dim != crate::ImageDimension::D1
        } else {
            false
        }
    }

    fn choose_bounds_check_policy(
        &self,
        pointer: Handle<crate::Expression>,
    ) -> index::BoundsCheckPolicy {
        self.policies
            .choose_policy(pointer, &self.module.types, self.info)
    }

    fn access_needs_check(
        &self,
        base: Handle<crate::Expression>,
        index: index::GuardedIndex,
    ) -> Option<index::IndexableLength> {
        index::access_needs_check(base, index, self.module, self.function, self.info)
    }

    fn get_packed_vec_kind(
        &self,
        expr_handle: Handle<crate::Expression>,
    ) -> Option<crate::ScalarKind> {
        match self.function.expressions[expr_handle] {
            crate::Expression::AccessIndex { base, index } => {
                let ty = match *self.resolve_type(base) {
                    crate::TypeInner::Pointer { base, .. } => &self.module.types[base].inner,
                    ref ty => ty,
                };
                match *ty {
                    crate::TypeInner::Struct {
                        ref members, span, ..
                    } => should_pack_struct_member(members, span, index as usize, self.module),
                    _ => None,
                }
            }
            _ => None,
        }
    }
}

struct StatementContext<'a> {
    expression: ExpressionContext<'a>,
    mod_info: &'a valid::ModuleInfo,
    result_struct: Option<&'a str>,
}

impl<W: Write> Writer<W> {
    /// Creates a new `Writer` instance.
    pub fn new(out: W) -> Self {
        Writer {
            out,
            names: FastHashMap::default(),
            named_expressions: Default::default(),
            need_bake_expressions: Default::default(),
            namer: proc::Namer::default(),
            #[cfg(test)]
            put_expression_stack_pointers: Default::default(),
            #[cfg(test)]
            put_block_stack_pointers: Default::default(),
            struct_member_pads: FastHashSet::default(),
        }
    }

    /// Finishes writing and returns the output.
    // See https://github.com/rust-lang/rust-clippy/issues/4979.
    #[allow(clippy::missing_const_for_fn)]
    pub fn finish(self) -> W {
        self.out
    }

    fn put_call_parameters(
        &mut self,
        parameters: impl Iterator<Item = Handle<crate::Expression>>,
        context: &ExpressionContext,
    ) -> BackendResult {
        write!(self.out, "(")?;
        for (i, handle) in parameters.enumerate() {
            if i != 0 {
                write!(self.out, ", ")?;
            }
            self.put_expression(handle, context, true)?;
        }
        write!(self.out, ")")?;
        Ok(())
    }

    fn put_level_of_detail(
        &mut self,
        level: LevelOfDetail,
        context: &ExpressionContext,
    ) -> BackendResult {
        match level {
            LevelOfDetail::Direct(expr) => self.put_expression(expr, context, true)?,
            LevelOfDetail::Restricted(load) => {
                write!(self.out, "{}{}", CLAMPED_LOD_LOAD_PREFIX, load.index())?
            }
        }
        Ok(())
    }

    fn put_image_query(
        &mut self,
        image: Handle<crate::Expression>,
        query: &str,
        level: Option<LevelOfDetail>,
        context: &ExpressionContext,
    ) -> BackendResult {
        self.put_expression(image, context, false)?;
        write!(self.out, ".get_{}(", query)?;
        if let Some(level) = level {
            self.put_level_of_detail(level, context)?;
        }
        write!(self.out, ")")?;
        Ok(())
    }

    fn put_image_size_query(
        &mut self,
        image: Handle<crate::Expression>,
        level: Option<LevelOfDetail>,
        kind: crate::ScalarKind,
        context: &ExpressionContext,
    ) -> BackendResult {
        //Note: MSL only has separate width/height/depth queries,
        // so compose the result of them.
        let dim = match *context.resolve_type(image) {
            crate::TypeInner::Image { dim, .. } => dim,
            ref other => unreachable!("Unexpected type {:?}", other),
        };
        let coordinate_type = kind.to_msl_name();
        match dim {
            crate::ImageDimension::D1 => {
                // Since 1D textures never have mipmaps, MSL requires that the
                // `level` argument be a constexpr 0. It's simplest for us just
                // to pass `None` and omit the level entirely.
                if kind == crate::ScalarKind::Uint {
                    // No need to construct a vector. No cast needed.
                    self.put_image_query(image, "width", None, context)?;
                } else {
                    // There's no definition for `int` in the `metal` namespace.
                    write!(self.out, "int(")?;
                    self.put_image_query(image, "width", None, context)?;
                    write!(self.out, ")")?;
                }
            }
            crate::ImageDimension::D2 => {
                write!(self.out, "{}::{}2(", NAMESPACE, coordinate_type)?;
                self.put_image_query(image, "width", level, context)?;
                write!(self.out, ", ")?;
                self.put_image_query(image, "height", level, context)?;
                write!(self.out, ")")?;
            }
            crate::ImageDimension::D3 => {
                write!(self.out, "{}::{}3(", NAMESPACE, coordinate_type)?;
                self.put_image_query(image, "width", level, context)?;
                write!(self.out, ", ")?;
                self.put_image_query(image, "height", level, context)?;
                write!(self.out, ", ")?;
                self.put_image_query(image, "depth", level, context)?;
                write!(self.out, ")")?;
            }
            crate::ImageDimension::Cube => {
                write!(self.out, "{}::{}2(", NAMESPACE, coordinate_type)?;
                self.put_image_query(image, "width", level, context)?;
                write!(self.out, ")")?;
            }
        }
        Ok(())
    }

    fn put_cast_to_uint_scalar_or_vector(
        &mut self,
        expr: Handle<crate::Expression>,
        context: &ExpressionContext,
    ) -> BackendResult {
        // coordinates in IR are int, but Metal expects uint
        match *context.resolve_type(expr) {
            crate::TypeInner::Scalar { .. } => {
                put_numeric_type(&mut self.out, crate::ScalarKind::Uint, &[])?
            }
            crate::TypeInner::Vector { size, .. } => {
                put_numeric_type(&mut self.out, crate::ScalarKind::Uint, &[size])?
            }
            _ => return Err(Error::Validation),
        };

        write!(self.out, "(")?;
        self.put_expression(expr, context, true)?;
        write!(self.out, ")")?;
        Ok(())
    }

    fn put_image_sample_level(
        &mut self,
        image: Handle<crate::Expression>,
        level: crate::SampleLevel,
        context: &ExpressionContext,
    ) -> BackendResult {
        let has_levels = context.image_needs_lod(image);
        match level {
            crate::SampleLevel::Auto => {}
            crate::SampleLevel::Zero => {
                //TODO: do we support Zero on `Sampled` image classes?
            }
            _ if !has_levels => {
                log::warn!("1D image can't be sampled with level {:?}", level);
            }
            crate::SampleLevel::Exact(h) => {
                write!(self.out, ", {}::level(", NAMESPACE)?;
                self.put_expression(h, context, true)?;
                write!(self.out, ")")?;
            }
            crate::SampleLevel::Bias(h) => {
                write!(self.out, ", {}::bias(", NAMESPACE)?;
                self.put_expression(h, context, true)?;
                write!(self.out, ")")?;
            }
            crate::SampleLevel::Gradient { x, y } => {
                write!(self.out, ", {}::gradient2d(", NAMESPACE)?;
                self.put_expression(x, context, true)?;
                write!(self.out, ", ")?;
                self.put_expression(y, context, true)?;
                write!(self.out, ")")?;
            }
        }
        Ok(())
    }

    fn put_image_coordinate_limits(
        &mut self,
        image: Handle<crate::Expression>,
        level: Option<LevelOfDetail>,
        context: &ExpressionContext,
    ) -> BackendResult {
        self.put_image_size_query(image, level, crate::ScalarKind::Uint, context)?;
        write!(self.out, " - 1")?;
        Ok(())
    }

    /// General function for writing restricted image indexes.
    ///
    /// This is used to produce restricted mip levels, array indices, and sample
    /// indices for [`ImageLoad`] and [`ImageStore`] accesses under the
    /// [`Restrict`] bounds check policy.
    ///
    /// This function writes an expression of the form:
    ///
    /// ```ignore
    ///
    ///     metal::min(uint(INDEX), IMAGE.LIMIT_METHOD() - 1)
    ///
    /// ```
    ///
    /// [`ImageLoad`]: crate::Expression::ImageLoad
    /// [`ImageStore`]: crate::Statement::ImageStore
    /// [`Restrict`]: index::BoundsCheckPolicy::Restrict
    fn put_restricted_scalar_image_index(
        &mut self,
        image: Handle<crate::Expression>,
        index: Handle<crate::Expression>,
        limit_method: &str,
        context: &ExpressionContext,
    ) -> BackendResult {
        write!(self.out, "{}::min(uint(", NAMESPACE)?;
        self.put_expression(index, context, true)?;
        write!(self.out, "), ")?;
        self.put_expression(image, context, false)?;
        write!(self.out, ".{}() - 1)", limit_method)?;
        Ok(())
    }

    fn put_restricted_texel_address(
        &mut self,
        image: Handle<crate::Expression>,
        address: &TexelAddress,
        context: &ExpressionContext,
    ) -> BackendResult {
        // Write the coordinate.
        write!(self.out, "{}::min(", NAMESPACE)?;
        self.put_cast_to_uint_scalar_or_vector(address.coordinate, context)?;
        write!(self.out, ", ")?;
        self.put_image_coordinate_limits(image, address.level, context)?;
        write!(self.out, ")")?;

        // Write the array index, if present.
        if let Some(array_index) = address.array_index {
            write!(self.out, ", ")?;
            self.put_restricted_scalar_image_index(image, array_index, "get_array_size", context)?;
        }

        // Write the sample index, if present.
        if let Some(sample) = address.sample {
            write!(self.out, ", ")?;
            self.put_restricted_scalar_image_index(image, sample, "get_num_samples", context)?;
        }

        // The level of detail should be clamped and cached by
        // `put_cache_restricted_level`, so we don't need to clamp it here.
        if let Some(level) = address.level {
            write!(self.out, ", ")?;
            self.put_level_of_detail(level, context)?;
        }

        Ok(())
    }

    /// Write an expression that is true if the given image access is in bounds.
    fn put_image_access_bounds_check(
        &mut self,
        image: Handle<crate::Expression>,
        address: &TexelAddress,
        context: &ExpressionContext,
    ) -> BackendResult {
        let mut conjunction = "";

        // First, check the level of detail. Only if that is in bounds can we
        // use it to find the appropriate bounds for the coordinates.
        let level = if let Some(level) = address.level {
            write!(self.out, "uint(")?;
            self.put_level_of_detail(level, context)?;
            write!(self.out, ") < ")?;
            self.put_expression(image, context, true)?;
            write!(self.out, ".get_num_mip_levels()")?;
            conjunction = " && ";
            Some(level)
        } else {
            None
        };

        // Check sample index, if present.
        if let Some(sample) = address.sample {
            write!(self.out, "uint(")?;
            self.put_expression(sample, context, true)?;
            write!(self.out, ") < ")?;
            self.put_expression(image, context, true)?;
            write!(self.out, ".get_num_samples()")?;
            conjunction = " && ";
        }

        // Check array index, if present.
        if let Some(array_index) = address.array_index {
            write!(self.out, "{}uint(", conjunction)?;
            self.put_expression(array_index, context, true)?;
            write!(self.out, ") < ")?;
            self.put_expression(image, context, true)?;
            write!(self.out, ".get_array_size()")?;
            conjunction = " && ";
        }

        // Finally, check if the coordinates are within bounds.
        let coord_is_vector = match *context.resolve_type(address.coordinate) {
            crate::TypeInner::Vector { .. } => true,
            _ => false,
        };
        write!(self.out, "{}", conjunction)?;
        if coord_is_vector {
            write!(self.out, "{}::all(", NAMESPACE)?;
        }
        self.put_cast_to_uint_scalar_or_vector(address.coordinate, context)?;
        write!(self.out, " < ")?;
        self.put_image_size_query(image, level, crate::ScalarKind::Uint, context)?;
        if coord_is_vector {
            write!(self.out, ")")?;
        }

        Ok(())
    }

    fn put_image_load(
        &mut self,
        load: Handle<crate::Expression>,
        image: Handle<crate::Expression>,
        mut address: TexelAddress,
        context: &ExpressionContext,
    ) -> BackendResult {
        match context.policies.image {
            proc::BoundsCheckPolicy::Restrict => {
                // Use the cached restricted level of detail, if any. Omit the
                // level altogether for 1D textures.
                if address.level.is_some() {
                    address.level = if context.image_needs_lod(image) {
                        Some(LevelOfDetail::Restricted(load))
                    } else {
                        None
                    }
                }

                self.put_expression(image, context, false)?;
                write!(self.out, ".read(")?;
                self.put_restricted_texel_address(image, &address, context)?;
                write!(self.out, ")")?;
            }
            proc::BoundsCheckPolicy::ReadZeroSkipWrite => {
                write!(self.out, "(")?;
                self.put_image_access_bounds_check(image, &address, context)?;
                write!(self.out, " ? ")?;
                self.put_unchecked_image_load(image, &address, context)?;
                write!(self.out, ": DefaultConstructible())")?;
            }
            proc::BoundsCheckPolicy::Unchecked => {
                self.put_unchecked_image_load(image, &address, context)?;
            }
        }

        Ok(())
    }

    fn put_unchecked_image_load(
        &mut self,
        image: Handle<crate::Expression>,
        address: &TexelAddress,
        context: &ExpressionContext,
    ) -> BackendResult {
        self.put_expression(image, context, false)?;
        write!(self.out, ".read(")?;
        // coordinates in IR are int, but Metal expects uint
        self.put_cast_to_uint_scalar_or_vector(address.coordinate, context)?;
        if let Some(expr) = address.array_index {
            write!(self.out, ", ")?;
            self.put_expression(expr, context, true)?;
        }
        if let Some(sample) = address.sample {
            write!(self.out, ", ")?;
            self.put_expression(sample, context, true)?;
        }
        if let Some(level) = address.level {
            if context.image_needs_lod(image) {
                write!(self.out, ", ")?;
                self.put_level_of_detail(level, context)?;
            }
        }
        write!(self.out, ")")?;

        Ok(())
    }

    fn put_image_store(
        &mut self,
        level: back::Level,
        image: Handle<crate::Expression>,
        address: &TexelAddress,
        value: Handle<crate::Expression>,
        context: &StatementContext,
    ) -> BackendResult {
        match context.expression.policies.image {
            proc::BoundsCheckPolicy::Restrict => {
                // We don't have a restricted level value, because we don't
                // support writes to mipmapped textures.
                debug_assert!(address.level.is_none());

                write!(self.out, "{}", level)?;
                self.put_expression(image, &context.expression, false)?;
                write!(self.out, ".write(")?;
                self.put_expression(value, &context.expression, true)?;
                write!(self.out, ", ")?;
                self.put_restricted_texel_address(image, address, &context.expression)?;
                writeln!(self.out, ");")?;
            }
            proc::BoundsCheckPolicy::ReadZeroSkipWrite => {
                write!(self.out, "{}if (", level)?;
                self.put_image_access_bounds_check(image, address, &context.expression)?;
                writeln!(self.out, ") {{")?;
                self.put_unchecked_image_store(level.next(), image, address, value, context)?;
                writeln!(self.out, "{}}}", level)?;
            }
            proc::BoundsCheckPolicy::Unchecked => {
                self.put_unchecked_image_store(level, image, address, value, context)?;
            }
        }

        Ok(())
    }

    fn put_unchecked_image_store(
        &mut self,
        level: back::Level,
        image: Handle<crate::Expression>,
        address: &TexelAddress,
        value: Handle<crate::Expression>,
        context: &StatementContext,
    ) -> BackendResult {
        write!(self.out, "{}", level)?;
        self.put_expression(image, &context.expression, false)?;
        write!(self.out, ".write(")?;
        self.put_expression(value, &context.expression, true)?;
        write!(self.out, ", ")?;
        // coordinates in IR are int, but Metal expects uint
        self.put_cast_to_uint_scalar_or_vector(address.coordinate, &context.expression)?;
        if let Some(expr) = address.array_index {
            write!(self.out, ", ")?;
            self.put_expression(expr, &context.expression, true)?;
        }
        writeln!(self.out, ");")?;

        Ok(())
    }

    fn put_compose(
        &mut self,
        ty: Handle<crate::Type>,
        components: &[Handle<crate::Expression>],
        context: &ExpressionContext,
    ) -> BackendResult {
        match context.module.types[ty].inner {
            crate::TypeInner::Scalar { width: 4, kind } if components.len() == 1 => {
                write!(self.out, "{}", kind.to_msl_name())?;
                self.put_call_parameters(components.iter().cloned(), context)?;
            }
            crate::TypeInner::Vector { size, kind, .. } => {
                put_numeric_type(&mut self.out, kind, &[size])?;
                self.put_call_parameters(components.iter().cloned(), context)?;
            }
            crate::TypeInner::Matrix { columns, rows, .. } => {
                put_numeric_type(&mut self.out, crate::ScalarKind::Float, &[rows, columns])?;
                self.put_call_parameters(components.iter().cloned(), context)?;
            }
            crate::TypeInner::Array { .. } | crate::TypeInner::Struct { .. } => {
                write!(self.out, "{} {{", &self.names[&NameKey::Type(ty)])?;
                for (index, &component) in components.iter().enumerate() {
                    if index != 0 {
                        write!(self.out, ", ")?;
                    }
                    // insert padding initialization, if needed
                    if self.struct_member_pads.contains(&(ty, index as u32)) {
                        write!(self.out, "{{}}, ")?;
                    }
                    self.put_expression(component, context, true)?;
                }
                write!(self.out, "}}")?;
            }
            _ => return Err(Error::UnsupportedCompose(ty)),
        }
        Ok(())
    }

    /// Write the maximum valid index of the dynamically sized array at the end of `handle`.
    ///
    /// The 'maximum valid index' is simply one less than the array's length.
    ///
    /// This emits an expression of the form `a / b`, so the caller must
    /// parenthesize its output if it will be applying operators of higher
    /// precedence.
    ///
    /// `handle` must be the handle of a global variable whose final member is a
    /// dynamically sized array.
    fn put_dynamic_array_max_index(
        &mut self,
        handle: Handle<crate::GlobalVariable>,
        context: &ExpressionContext,
    ) -> BackendResult {
        let global = &context.module.global_variables[handle];
        let (offset, array_ty) = match context.module.types[global.ty].inner {
            crate::TypeInner::Struct { ref members, .. } => match members.last() {
                Some(&crate::StructMember { offset, ty, .. }) => (offset, ty),
                None => return Err(Error::Validation),
            },
            crate::TypeInner::Array {
                size: crate::ArraySize::Dynamic,
                ..
            } => (0, global.ty),
            _ => return Err(Error::Validation),
        };

        let (size, stride) = match context.module.types[array_ty].inner {
            crate::TypeInner::Array { base, stride, .. } => (
                context.module.types[base]
                    .inner
                    .size(&context.module.constants),
                stride,
            ),
            _ => return Err(Error::Validation),
        };

        // When the stride length is larger than the size, the final element's stride of
        // bytes would have padding following the value. But the buffer size in
        // `buffer_sizes.sizeN` may not include this padding - it only needs to be large
        // enough to hold the actual values' bytes.
        //
        // So subtract off the size to get a byte size that falls at the start or within
        // the final element. Then divide by the stride size, to get one less than the
        // length, and then add one. This works even if the buffer size does include the
        // stride padding, since division rounds towards zero (MSL 2.4 §6.1). It will fail
        // if there are zero elements in the array, but the WebGPU `validating shader binding`
        // rules, together with draw-time validation when `minBindingSize` is zero,
        // prevent that.
        write!(
            self.out,
            "(_buffer_sizes.size{idx} - {offset} - {size}) / {stride}",
            idx = handle.index(),
            offset = offset,
            size = size,
            stride = stride,
        )?;
        Ok(())
    }

    fn put_atomic_fetch(
        &mut self,
        pointer: Handle<crate::Expression>,
        key: &str,
        value: Handle<crate::Expression>,
        context: &ExpressionContext,
    ) -> BackendResult {
        // If the pointer we're passing to the atomic operation needs to be conditional
        // for `ReadZeroSkipWrite`, the condition needs to *surround* the atomic op, and
        // the pointer operand should be unchecked.
        let policy = context.choose_bounds_check_policy(pointer);
        let checked = policy == index::BoundsCheckPolicy::ReadZeroSkipWrite
            && self.put_bounds_checks(pointer, context, back::Level(0), "")?;

        // If requested and successfully put bounds checks, continue the ternary expression.
        if checked {
            write!(self.out, " ? ")?;
        }

        write!(
            self.out,
            "{}::atomic_fetch_{}_explicit({}",
            NAMESPACE, key, ATOMIC_REFERENCE
        )?;
        self.put_access_chain(pointer, policy, context)?;
        write!(self.out, ", ")?;
        self.put_expression(value, context, true)?;
        write!(self.out, ", {}::memory_order_relaxed)", NAMESPACE)?;

        // Finish the ternary expression.
        if checked {
            write!(self.out, " : DefaultConstructible()")?;
        }

        Ok(())
    }

    /// Emit code for the arithmetic expression of the dot product.
    ///
    fn put_dot_product(
        &mut self,
        arg: Handle<crate::Expression>,
        arg1: Handle<crate::Expression>,
        size: usize,
        context: &ExpressionContext,
    ) -> BackendResult {
        // Write parantheses around the dot product expression to prevent operators
        // with different precedences from applying earlier.
        write!(self.out, "(")?;

        // Cycle trough all the components of the vector
        for index in 0..size {
            let component = back::COMPONENTS[index];
            // Write the addition to the previous product
            // This will print an extra '+' at the beginning but that is fine in msl
            write!(self.out, " + ")?;
            // Write the first vector expression, this expression is marked to be
            // cached so unless it can't be cached (for example, it's a Constant)
            // it shouldn't produce large expressions.
            self.put_expression(arg, context, true)?;
            // Access the current component on the first vector
            write!(self.out, ".{} * ", component)?;
            // Write the second vector expression, this expression is marked to be
            // cached so unless it can't be cached (for example, it's a Constant)
            // it shouldn't produce large expressions.
            self.put_expression(arg1, context, true)?;
            // Access the current component on the second vector
            write!(self.out, ".{}", component)?;
        }

        write!(self.out, ")")?;
        Ok(())
    }

    /// Emit code for the expression `expr_handle`.
    ///
    /// The `is_scoped` argument is true if the surrounding operators have the
    /// precedence of the comma operator, or lower. So, for example:
    ///
    /// - Pass `true` for `is_scoped` when writing function arguments, an
    ///   expression statement, an initializer expression, or anything already
    ///   wrapped in parenthesis.
    ///
    /// - Pass `false` if it is an operand of a `?:` operator, a `[]`, or really
    ///   almost anything else.
    fn put_expression(
        &mut self,
        expr_handle: Handle<crate::Expression>,
        context: &ExpressionContext,
        is_scoped: bool,
    ) -> BackendResult {
        // Add to the set in order to track the stack size.
        #[cfg(test)]
        #[allow(trivial_casts)]
        self.put_expression_stack_pointers
            .insert(&expr_handle as *const _ as *const ());

        if let Some(name) = self.named_expressions.get(&expr_handle) {
            write!(self.out, "{}", name)?;
            return Ok(());
        }

        let expression = &context.function.expressions[expr_handle];
        log::trace!("expression {:?} = {:?}", expr_handle, expression);
        match *expression {
            crate::Expression::Access { base, .. }
            | crate::Expression::AccessIndex { base, .. } => {
                // This is an acceptable place to generate a `ReadZeroSkipWrite` check.
                // Since `put_bounds_checks` and `put_access_chain` handle an entire
                // access chain at a time, recursing back through `put_expression` only
                // for index expressions and the base object, we will never see intermediate
                // `Access` or `AccessIndex` expressions here.
                let policy = context.choose_bounds_check_policy(base);
                if policy == index::BoundsCheckPolicy::ReadZeroSkipWrite
                    && self.put_bounds_checks(
                        expr_handle,
                        context,
                        back::Level(0),
                        if is_scoped { "" } else { "(" },
                    )?
                {
                    write!(self.out, " ? ")?;
                    self.put_access_chain(expr_handle, policy, context)?;
                    write!(self.out, " : DefaultConstructible()")?;

                    if !is_scoped {
                        write!(self.out, ")")?;
                    }
                } else {
                    self.put_access_chain(expr_handle, policy, context)?;
                }
            }
            crate::Expression::Constant(handle) => {
                let coco = ConstantContext {
                    handle,
                    arena: &context.module.constants,
                    names: &self.names,
                    first_time: false,
                };
                write!(self.out, "{}", coco)?;
            }
            crate::Expression::Splat { size, value } => {
                let scalar_kind = match *context.resolve_type(value) {
                    crate::TypeInner::Scalar { kind, .. } => kind,
                    _ => return Err(Error::Validation),
                };
                put_numeric_type(&mut self.out, scalar_kind, &[size])?;
                write!(self.out, "(")?;
                self.put_expression(value, context, true)?;
                write!(self.out, ")")?;
            }
            crate::Expression::Swizzle {
                size,
                vector,
                pattern,
            } => {
                self.put_wrapped_expression_for_packed_vec3_access(vector, context, false)?;
                write!(self.out, ".")?;
                for &sc in pattern[..size as usize].iter() {
                    write!(self.out, "{}", back::COMPONENTS[sc as usize])?;
                }
            }
            crate::Expression::Compose { ty, ref components } => {
                self.put_compose(ty, components, context)?;
            }
            crate::Expression::FunctionArgument(index) => {
                let name_key = match context.origin {
                    FunctionOrigin::Handle(handle) => NameKey::FunctionArgument(handle, index),
                    FunctionOrigin::EntryPoint(ep_index) => {
                        NameKey::EntryPointArgument(ep_index, index)
                    }
                };
                let name = &self.names[&name_key];
                write!(self.out, "{}", name)?;
            }
            crate::Expression::GlobalVariable(handle) => {
                let name = &self.names[&NameKey::GlobalVariable(handle)];
                write!(self.out, "{}", name)?;
            }
            crate::Expression::LocalVariable(handle) => {
                let name_key = match context.origin {
                    FunctionOrigin::Handle(fun_handle) => {
                        NameKey::FunctionLocal(fun_handle, handle)
                    }
                    FunctionOrigin::EntryPoint(ep_index) => {
                        NameKey::EntryPointLocal(ep_index, handle)
                    }
                };
                let name = &self.names[&name_key];
                write!(self.out, "{}", name)?;
            }
            crate::Expression::Load { pointer } => self.put_load(pointer, context, is_scoped)?,
            crate::Expression::ImageSample {
                image,
                sampler,
                gather,
                coordinate,
                array_index,
                offset,
                level,
                depth_ref,
            } => {
                let main_op = match gather {
                    Some(_) => "gather",
                    None => "sample",
                };
                let comparison_op = match depth_ref {
                    Some(_) => "_compare",
                    None => "",
                };
                self.put_expression(image, context, false)?;
                write!(self.out, ".{}{}(", main_op, comparison_op)?;
                self.put_expression(sampler, context, true)?;
                write!(self.out, ", ")?;
                self.put_expression(coordinate, context, true)?;
                if let Some(expr) = array_index {
                    write!(self.out, ", ")?;
                    self.put_expression(expr, context, true)?;
                }
                if let Some(dref) = depth_ref {
                    write!(self.out, ", ")?;
                    self.put_expression(dref, context, true)?;
                }

                self.put_image_sample_level(image, level, context)?;

                if let Some(constant) = offset {
                    let coco = ConstantContext {
                        handle: constant,
                        arena: &context.module.constants,
                        names: &self.names,
                        first_time: false,
                    };
                    write!(self.out, ", {}", coco)?;
                }
                match gather {
                    None | Some(crate::SwizzleComponent::X) => {}
                    Some(component) => {
                        let is_cube_map = match *context.resolve_type(image) {
                            crate::TypeInner::Image {
                                dim: crate::ImageDimension::Cube,
                                ..
                            } => true,
                            _ => false,
                        };
                        // Offset always comes before the gather, except
                        // in cube maps where it's not applicable
                        if offset.is_none() && !is_cube_map {
                            write!(self.out, ", int2(0)")?;
                        }
                        let letter = ['x', 'y', 'z', 'w'][component as usize];
                        write!(self.out, ", {}::component::{}", NAMESPACE, letter)?;
                    }
                }
                write!(self.out, ")")?;
            }
            crate::Expression::ImageLoad {
                image,
                coordinate,
                array_index,
                sample,
                level,
            } => {
                let address = TexelAddress {
                    coordinate,
                    array_index,
                    sample,
                    level: level.map(LevelOfDetail::Direct),
                };
                self.put_image_load(expr_handle, image, address, context)?;
            }
            //Note: for all the queries, the signed integers are expected,
            // so a conversion is needed.
            crate::Expression::ImageQuery { image, query } => match query {
                crate::ImageQuery::Size { level } => {
                    self.put_image_size_query(
                        image,
                        level.map(LevelOfDetail::Direct),
                        crate::ScalarKind::Sint,
                        context,
                    )?;
                }
                crate::ImageQuery::NumLevels => {
                    write!(self.out, "int(")?;
                    self.put_expression(image, context, false)?;
                    write!(self.out, ".get_num_mip_levels())")?;
                }
                crate::ImageQuery::NumLayers => {
                    write!(self.out, "int(")?;
                    self.put_expression(image, context, false)?;
                    write!(self.out, ".get_array_size())")?;
                }
                crate::ImageQuery::NumSamples => {
                    write!(self.out, "int(")?;
                    self.put_expression(image, context, false)?;
                    write!(self.out, ".get_num_samples())")?;
                }
            },
            crate::Expression::Unary { op, expr } => {
                use crate::{ScalarKind as Sk, UnaryOperator as Uo};
                let op_str = match op {
                    Uo::Negate => "-",
                    Uo::Not => match context.resolve_type(expr).scalar_kind() {
                        Some(Sk::Sint) | Some(Sk::Uint) => "~",
                        Some(Sk::Bool) => "!",
                        _ => return Err(Error::Validation),
                    },
                };
                write!(self.out, "{}", op_str)?;
                self.put_expression(expr, context, false)?;
            }
            crate::Expression::Binary { op, left, right } => {
                let op_str = crate::back::binary_operation_str(op);
                let kind = context
                    .resolve_type(left)
                    .scalar_kind()
                    .ok_or(Error::UnsupportedBinaryOp(op))?;

                // TODO: handle undefined behavior of BinaryOperator::Modulo
                //
                // sint:
                // if right == 0 return 0
                // if left == min(type_of(left)) && right == -1 return 0
                // if sign(left) == -1 || sign(right) == -1 return result as defined by WGSL
                //
                // uint:
                // if right == 0 return 0
                //
                // float:
                // if right == 0 return ? see https://github.com/gpuweb/gpuweb/issues/2798

                if op == crate::BinaryOperator::Modulo && kind == crate::ScalarKind::Float {
                    write!(self.out, "{}::fmod(", NAMESPACE)?;
                    self.put_expression(left, context, true)?;
                    write!(self.out, ", ")?;
                    self.put_expression(right, context, true)?;
                    write!(self.out, ")")?;
                } else {
                    if !is_scoped {
                        write!(self.out, "(")?;
                    }

                    // Cast packed vector if necessary
                    // Packed vector - matrix multiplications are not supported in MSL
                    if op == crate::BinaryOperator::Multiply
                        && matches!(
                            context.resolve_type(right),
                            &crate::TypeInner::Matrix { .. }
                        )
                    {
                        self.put_wrapped_expression_for_packed_vec3_access(left, context, false)?;
                    } else {
                        self.put_expression(left, context, false)?;
                    }

                    write!(self.out, " {} ", op_str)?;

                    // See comment above
                    if op == crate::BinaryOperator::Multiply
                        && matches!(context.resolve_type(left), &crate::TypeInner::Matrix { .. })
                    {
                        self.put_wrapped_expression_for_packed_vec3_access(right, context, false)?;
                    } else {
                        self.put_expression(right, context, false)?;
                    }

                    if !is_scoped {
                        write!(self.out, ")")?;
                    }
                }
            }
            crate::Expression::Select {
                condition,
                accept,
                reject,
            } => match *context.resolve_type(condition) {
                crate::TypeInner::Scalar {
                    kind: crate::ScalarKind::Bool,
                    ..
                } => {
                    if !is_scoped {
                        write!(self.out, "(")?;
                    }
                    self.put_expression(condition, context, false)?;
                    write!(self.out, " ? ")?;
                    self.put_expression(accept, context, false)?;
                    write!(self.out, " : ")?;
                    self.put_expression(reject, context, false)?;
                    if !is_scoped {
                        write!(self.out, ")")?;
                    }
                }
                crate::TypeInner::Vector {
                    kind: crate::ScalarKind::Bool,
                    ..
                } => {
                    write!(self.out, "{}::select(", NAMESPACE)?;
                    self.put_expression(reject, context, true)?;
                    write!(self.out, ", ")?;
                    self.put_expression(accept, context, true)?;
                    write!(self.out, ", ")?;
                    self.put_expression(condition, context, true)?;
                    write!(self.out, ")")?;
                }
                _ => return Err(Error::Validation),
            },
            crate::Expression::Derivative { axis, expr } => {
                let op = match axis {
                    crate::DerivativeAxis::X => "dfdx",
                    crate::DerivativeAxis::Y => "dfdy",
                    crate::DerivativeAxis::Width => "fwidth",
                };
                write!(self.out, "{}::{}", NAMESPACE, op)?;
                self.put_call_parameters(iter::once(expr), context)?;
            }
            crate::Expression::Relational { fun, argument } => {
                let op = match fun {
                    crate::RelationalFunction::Any => "any",
                    crate::RelationalFunction::All => "all",
                    crate::RelationalFunction::IsNan => "isnan",
                    crate::RelationalFunction::IsInf => "isinf",
                    crate::RelationalFunction::IsFinite => "isfinite",
                    crate::RelationalFunction::IsNormal => "isnormal",
                };
                write!(self.out, "{}::{}", NAMESPACE, op)?;
                self.put_call_parameters(iter::once(argument), context)?;
            }
            crate::Expression::Math {
                fun,
                arg,
                arg1,
                arg2,
                arg3,
            } => {
                use crate::MathFunction as Mf;

                let scalar_argument = match *context.resolve_type(arg) {
                    crate::TypeInner::Scalar { .. } => true,
                    _ => false,
                };

                let fun_name = match fun {
                    // comparison
                    Mf::Abs => "abs",
                    Mf::Min => "min",
                    Mf::Max => "max",
                    Mf::Clamp => "clamp",
                    Mf::Saturate => "saturate",
                    // trigonometry
                    Mf::Cos => "cos",
                    Mf::Cosh => "cosh",
                    Mf::Sin => "sin",
                    Mf::Sinh => "sinh",
                    Mf::Tan => "tan",
                    Mf::Tanh => "tanh",
                    Mf::Acos => "acos",
                    Mf::Asin => "asin",
                    Mf::Atan => "atan",
                    Mf::Atan2 => "atan2",
                    Mf::Asinh => "asinh",
                    Mf::Acosh => "acosh",
                    Mf::Atanh => "atanh",
                    Mf::Radians => "",
                    Mf::Degrees => "",
                    // decomposition
                    Mf::Ceil => "ceil",
                    Mf::Floor => "floor",
                    Mf::Round => "rint",
                    Mf::Fract => "fract",
                    Mf::Trunc => "trunc",
                    Mf::Modf => "modf",
                    Mf::Frexp => "frexp",
                    Mf::Ldexp => "ldexp",
                    // exponent
                    Mf::Exp => "exp",
                    Mf::Exp2 => "exp2",
                    Mf::Log => "log",
                    Mf::Log2 => "log2",
                    Mf::Pow => "pow",
                    // geometry
                    Mf::Dot => match *context.resolve_type(arg) {
                        crate::TypeInner::Vector {
                            kind: crate::ScalarKind::Float,
                            ..
                        } => "dot",
                        crate::TypeInner::Vector { size, .. } => {
                            return self.put_dot_product(arg, arg1.unwrap(), size as usize, context)
                        }
                        _ => unreachable!(
                            "Correct TypeInner for dot product should be already validated"
                        ),
                    },
                    Mf::Outer => return Err(Error::UnsupportedCall(format!("{:?}", fun))),
                    Mf::Cross => "cross",
                    Mf::Distance => "distance",
                    Mf::Length if scalar_argument => "abs",
                    Mf::Length => "length",
                    Mf::Normalize => "normalize",
                    Mf::FaceForward => "faceforward",
                    Mf::Reflect => "reflect",
                    Mf::Refract => "refract",
                    // computational
                    Mf::Sign => "sign",
                    Mf::Fma => "fma",
                    Mf::Mix => "mix",
                    Mf::Step => "step",
                    Mf::SmoothStep => "smoothstep",
                    Mf::Sqrt => "sqrt",
                    Mf::InverseSqrt => "rsqrt",
                    Mf::Inverse => return Err(Error::UnsupportedCall(format!("{:?}", fun))),
                    Mf::Transpose => "transpose",
                    Mf::Determinant => "determinant",
                    // bits
                    Mf::CountOneBits => "popcount",
                    Mf::ReverseBits => "reverse_bits",
                    Mf::ExtractBits => "extract_bits",
                    Mf::InsertBits => "insert_bits",
                    Mf::FindLsb => "",
                    Mf::FindMsb => "",
                    // data packing
                    Mf::Pack4x8snorm => "pack_float_to_snorm4x8",
                    Mf::Pack4x8unorm => "pack_float_to_unorm4x8",
                    Mf::Pack2x16snorm => "pack_float_to_snorm2x16",
                    Mf::Pack2x16unorm => "pack_float_to_unorm2x16",
                    Mf::Pack2x16float => "",
                    // data unpacking
                    Mf::Unpack4x8snorm => "unpack_snorm4x8_to_float",
                    Mf::Unpack4x8unorm => "unpack_unorm4x8_to_float",
                    Mf::Unpack2x16snorm => "unpack_snorm2x16_to_float",
                    Mf::Unpack2x16unorm => "unpack_unorm2x16_to_float",
                    Mf::Unpack2x16float => "",
                };

                if fun == Mf::Distance && scalar_argument {
                    write!(self.out, "{}::abs(", NAMESPACE)?;
                    self.put_expression(arg, context, false)?;
                    write!(self.out, " - ")?;
                    self.put_expression(arg1.unwrap(), context, false)?;
                    write!(self.out, ")")?;
                } else if fun == Mf::FindLsb {
                    write!(self.out, "((({}::ctz(", NAMESPACE)?;
                    self.put_expression(arg, context, true)?;
                    write!(self.out, ") + 1) % 33) - 1)")?;
                } else if fun == Mf::FindMsb {
                    write!(self.out, "((({}::clz(", NAMESPACE)?;
                    self.put_expression(arg, context, true)?;
                    write!(self.out, ") + 1) % 33) - 1)")?
                } else if fun == Mf::Unpack2x16float {
                    write!(self.out, "float2(as_type<half2>(")?;
                    self.put_expression(arg, context, false)?;
                    write!(self.out, "))")?;
                } else if fun == Mf::Pack2x16float {
                    write!(self.out, "as_type<uint>(half2(")?;
                    self.put_expression(arg, context, false)?;
                    write!(self.out, "))")?;
                } else if fun == Mf::Radians {
                    write!(self.out, "((")?;
                    self.put_expression(arg, context, false)?;
                    write!(self.out, ") * 0.017453292519943295474)")?;
                } else if fun == Mf::Degrees {
                    write!(self.out, "((")?;
                    self.put_expression(arg, context, false)?;
                    write!(self.out, ") * 57.295779513082322865)")?;
                } else {
                    write!(self.out, "{}::{}", NAMESPACE, fun_name)?;
                    self.put_call_parameters(
                        iter::once(arg).chain(arg1).chain(arg2).chain(arg3),
                        context,
                    )?;
                }
            }
            crate::Expression::As {
                expr,
                kind,
                convert,
            } => match *context.resolve_type(expr) {
                crate::TypeInner::Scalar {
                    kind: src_kind,
                    width: src_width,
                }
                | crate::TypeInner::Vector {
                    kind: src_kind,
                    width: src_width,
                    ..
                } => {
                    let is_bool_cast =
                        kind == crate::ScalarKind::Bool || src_kind == crate::ScalarKind::Bool;
                    let op = match convert {
                        Some(w) if w == src_width || is_bool_cast => "static_cast",
                        Some(8) if kind == crate::ScalarKind::Float => {
                            return Err(Error::CapabilityNotSupported(valid::Capabilities::FLOAT64))
                        }
                        Some(_) => return Err(Error::Validation),
                        None => "as_type",
                    };
                    write!(self.out, "{}<", op)?;
                    match *context.resolve_type(expr) {
                        crate::TypeInner::Vector { size, .. } => {
                            put_numeric_type(&mut self.out, kind, &[size])?
                        }
                        _ => put_numeric_type(&mut self.out, kind, &[])?,
                    };
                    write!(self.out, ">(")?;
                    self.put_expression(expr, context, true)?;
                    write!(self.out, ")")?;
                }
                crate::TypeInner::Matrix { columns, rows, .. } => {
                    put_numeric_type(&mut self.out, kind, &[rows, columns])?;
                    write!(self.out, "(")?;
                    self.put_expression(expr, context, true)?;
                    write!(self.out, ")")?;
                }
                _ => return Err(Error::Validation),
            },
            // has to be a named expression
            crate::Expression::CallResult(_) | crate::Expression::AtomicResult { .. } => {
                unreachable!()
            }
            crate::Expression::ArrayLength(expr) => {
                // Find the global to which the array belongs.
                let global = match context.function.expressions[expr] {
                    crate::Expression::AccessIndex { base, .. } => {
                        match context.function.expressions[base] {
                            crate::Expression::GlobalVariable(handle) => handle,
                            _ => return Err(Error::Validation),
                        }
                    }
                    crate::Expression::GlobalVariable(handle) => handle,
                    _ => return Err(Error::Validation),
                };

                if !is_scoped {
                    write!(self.out, "(")?;
                }
                write!(self.out, "1 + ")?;
                self.put_dynamic_array_max_index(global, context)?;
                if !is_scoped {
                    write!(self.out, ")")?;
                }
            }
        }
        Ok(())
    }

    /// Used by expressions like Swizzle and Binary since they need packed_vec3's to be casted to a vec3
    fn put_wrapped_expression_for_packed_vec3_access(
        &mut self,
        expr_handle: Handle<crate::Expression>,
        context: &ExpressionContext,
        is_scoped: bool,
    ) -> BackendResult {
        if let Some(scalar_kind) = context.get_packed_vec_kind(expr_handle) {
            write!(self.out, "{}::{}3(", NAMESPACE, scalar_kind.to_msl_name())?;
            self.put_expression(expr_handle, context, is_scoped)?;
            write!(self.out, ")")?;
        } else {
            self.put_expression(expr_handle, context, is_scoped)?;
        }
        Ok(())
    }

    /// Write a `GuardedIndex` as a Metal expression.
    fn put_index(
        &mut self,
        index: index::GuardedIndex,
        context: &ExpressionContext,
        is_scoped: bool,
    ) -> BackendResult {
        match index {
            index::GuardedIndex::Expression(expr) => {
                self.put_expression(expr, context, is_scoped)?
            }
            index::GuardedIndex::Known(value) => write!(self.out, "{}", value)?,
        }
        Ok(())
    }

    /// Emit an index bounds check condition for `chain`, if required.
    ///
    /// `chain` is a subtree of `Access` and `AccessIndex` expressions,
    /// operating either on a pointer to a value, or on a value directly. If we cannot
    /// statically determine that all indexing operations in `chain` are within
    /// bounds, then write a conditional expression to check them dynamically,
    /// and return true. All accesses in the chain are checked by the generated
    /// expression.
    ///
    /// This assumes that the [`BoundsCheckPolicy`] for `chain` is [`ReadZeroSkipWrite`].
    ///
    /// The text written is of the form:
    ///
    /// ```ignore
    /// {level}{prefix}uint(i) < 4 && uint(j) < 10
    /// ```
    ///
    /// where `{level}` and `{prefix}` are the arguments to this function. For [`Store`]
    /// statements, presumably these arguments start an indented `if` statement; for
    /// [`Load`] expressions, the caller is probably building up a ternary `?:`
    /// expression. In either case, what is written is not a complete syntactic structure
    /// in its own right, and the caller will have to finish it off if we return `true`.
    ///
    /// If no expression is written, return false.
    ///
    /// [`BoundsCheckPolicy`]: index::BoundsCheckPolicy
    /// [`ReadZeroSkipWrite`]: index::BoundsCheckPolicy::ReadZeroSkipWrite
    /// [`Store`]: crate::Statement::Store
    /// [`Load`]: crate::Expression::Load
    #[allow(unused_variables)]
    fn put_bounds_checks(
        &mut self,
        mut chain: Handle<crate::Expression>,
        context: &ExpressionContext,
        level: back::Level,
        prefix: &'static str,
    ) -> Result<bool, Error> {
        let mut check_written = false;

        // Iterate over the access chain, handling each expression.
        loop {
            // Produce a `GuardedIndex`, so we can shared code between the
            // `Access` and `AccessIndex` cases.
            let (base, guarded_index) = match context.function.expressions[chain] {
                crate::Expression::Access { base, index } => {
                    (base, Some(index::GuardedIndex::Expression(index)))
                }
                crate::Expression::AccessIndex { base, index } => {
                    // Don't try to check indices into structs. Validation already took
                    // care of them, and index::needs_guard doesn't handle that case.
                    let mut base_inner = context.resolve_type(base);
                    if let crate::TypeInner::Pointer { base, .. } = *base_inner {
                        base_inner = &context.module.types[base].inner;
                    }
                    match *base_inner {
                        crate::TypeInner::Struct { .. } => (base, None),
                        _ => (base, Some(index::GuardedIndex::Known(index))),
                    }
                }
                _ => break,
            };

            if let Some(index) = guarded_index {
                if let Some(length) = context.access_needs_check(base, index) {
                    if check_written {
                        write!(self.out, " && ")?;
                    } else {
                        write!(self.out, "{}{}", level, prefix)?;
                        check_written = true;
                    }

                    // Check that the index falls within bounds. Do this with a single
                    // comparison, by casting the index to `uint` first, so that negative
                    // indices become large positive values.
                    write!(self.out, "uint(")?;
                    self.put_index(index, context, true)?;
                    self.out.write_str(") < ")?;
                    match length {
                        index::IndexableLength::Known(value) => write!(self.out, "{}", value)?,
                        index::IndexableLength::Dynamic => {
                            let global = context
                                .function
                                .originating_global(base)
                                .ok_or(Error::Validation)?;
                            write!(self.out, "1 + ")?;
                            self.put_dynamic_array_max_index(global, context)?
                        }
                    }
                }
            }

            chain = base
        }

        Ok(check_written)
    }

    /// Write the access chain `chain`.
    ///
    /// `chain` is a subtree of [`Access`] and [`AccessIndex`] expressions,
    /// operating either on a pointer to a value, or on a value directly.
    ///
    /// Generate bounds checks code only if `policy` is [`Restrict`]. The
    /// [`ReadZeroSkipWrite`] policy requires checks before any accesses take place, so
    /// that must be handled in the caller.
    ///
    /// Handle the entire chain, recursing back into `put_expression` only for index
    /// expressions and the base expression that originates the pointer or composite value
    /// being accessed. This allows `put_expression` to assume that any `Access` or
    /// `AccessIndex` expressions it sees are the top of a chain, so it can emit
    /// `ReadZeroSkipWrite` checks.
    ///
    /// [`Access`]: crate::Expression::Access
    /// [`AccessIndex`]: crate::Expression::AccessIndex
    /// [`Restrict`]: crate::proc::index::BoundsCheckPolicy::Restrict
    /// [`ReadZeroSkipWrite`]: crate::proc::index::BoundsCheckPolicy::ReadZeroSkipWrite
    fn put_access_chain(
        &mut self,
        chain: Handle<crate::Expression>,
        policy: index::BoundsCheckPolicy,
        context: &ExpressionContext,
    ) -> BackendResult {
        match context.function.expressions[chain] {
            crate::Expression::Access { base, index } => {
                let mut base_ty = context.resolve_type(base);

                // Look through any pointers to see what we're really indexing.
                if let crate::TypeInner::Pointer { base, space: _ } = *base_ty {
                    base_ty = &context.module.types[base].inner;
                }

                self.put_subscripted_access_chain(
                    base,
                    base_ty,
                    index::GuardedIndex::Expression(index),
                    policy,
                    context,
                )?;
            }
            crate::Expression::AccessIndex { base, index } => {
                let base_resolution = &context.info[base].ty;
                let mut base_ty = base_resolution.inner_with(&context.module.types);
                let mut base_ty_handle = base_resolution.handle();

                // Look through any pointers to see what we're really indexing.
                if let crate::TypeInner::Pointer { base, space: _ } = *base_ty {
                    base_ty = &context.module.types[base].inner;
                    base_ty_handle = Some(base);
                }

                // Handle structs and anything else that can use `.x` syntax here, so
                // `put_subscripted_access_chain` won't have to handle the absurd case of
                // indexing a struct with an expression.
                match *base_ty {
                    crate::TypeInner::Struct { .. } => {
                        let base_ty = base_ty_handle.unwrap();
                        self.put_access_chain(base, policy, context)?;
                        let name = &self.names[&NameKey::StructMember(base_ty, index)];
                        write!(self.out, ".{}", name)?;
                    }
                    crate::TypeInner::ValuePointer { .. } | crate::TypeInner::Vector { .. } => {
                        self.put_access_chain(base, policy, context)?;
                        // Prior to Metal v2.1 component access for packed vectors wasn't available
                        // however array indexing is
                        if context.get_packed_vec_kind(base).is_some() {
                            write!(self.out, "[{}]", index)?;
                        } else {
                            write!(self.out, ".{}", back::COMPONENTS[index as usize])?;
                        }
                    }
                    _ => {
                        self.put_subscripted_access_chain(
                            base,
                            base_ty,
                            index::GuardedIndex::Known(index),
                            policy,
                            context,
                        )?;
                    }
                }
            }
            _ => self.put_expression(chain, context, false)?,
        }

        Ok(())
    }

    /// Write a `[]`-style access of `base` by `index`.
    ///
    /// If `policy` is [`Restrict`], then generate code as needed to force all index
    /// values within bounds.
    ///
    /// The `base_ty` argument must be the type we are actually indexing, like [`Array`] or
    /// [`Vector`]. In other words, it's `base`'s type with any surrounding [`Pointer`]
    /// removed. Our callers often already have this handy.
    ///
    /// This only emits `[]` expressions; it doesn't handle struct member accesses or
    /// referencing vector components by name.
    ///
    /// [`Restrict`]: crate::proc::index::BoundsCheckPolicy::Restrict
    /// [`Array`]: crate::TypeInner::Array
    /// [`Vector`]: crate::TypeInner::Vector
    /// [`Pointer`]: crate::TypeInner::Pointer
    fn put_subscripted_access_chain(
        &mut self,
        base: Handle<crate::Expression>,
        base_ty: &crate::TypeInner,
        index: index::GuardedIndex,
        policy: index::BoundsCheckPolicy,
        context: &ExpressionContext,
    ) -> BackendResult {
        let accessing_wrapped_array = match *base_ty {
            crate::TypeInner::Array {
                size: crate::ArraySize::Constant(_),
                ..
            } => true,
            _ => false,
        };

        self.put_access_chain(base, policy, context)?;
        if accessing_wrapped_array {
            write!(self.out, ".{}", WRAPPED_ARRAY_FIELD)?;
        }
        write!(self.out, "[")?;

        // Decide whether this index needs to be clamped to fall within range.
        let restriction_needed = if policy == index::BoundsCheckPolicy::Restrict {
            context.access_needs_check(base, index)
        } else {
            None
        };
        if let Some(limit) = restriction_needed {
            write!(self.out, "{}::min(unsigned(", NAMESPACE)?;
            self.put_index(index, context, true)?;
            write!(self.out, "), ")?;
            match limit {
                index::IndexableLength::Known(limit) => {
                    write!(self.out, "{}u", limit - 1)?;
                }
                index::IndexableLength::Dynamic => {
                    let global = context
                        .function
                        .originating_global(base)
                        .ok_or(Error::Validation)?;
                    self.put_dynamic_array_max_index(global, context)?;
                }
            }
            write!(self.out, ")")?;
        } else {
            self.put_index(index, context, true)?;
        }

        write!(self.out, "]")?;

        Ok(())
    }

    fn put_load(
        &mut self,
        pointer: Handle<crate::Expression>,
        context: &ExpressionContext,
        is_scoped: bool,
    ) -> BackendResult {
        // Since access chains never cross between address spaces, we can just
        // check the index bounds check policy once at the top.
        let policy = context.choose_bounds_check_policy(pointer);
        if policy == index::BoundsCheckPolicy::ReadZeroSkipWrite
            && self.put_bounds_checks(
                pointer,
                context,
                back::Level(0),
                if is_scoped { "" } else { "(" },
            )?
        {
            write!(self.out, " ? ")?;
            self.put_unchecked_load(pointer, policy, context)?;
            write!(self.out, " : DefaultConstructible()")?;

            if !is_scoped {
                write!(self.out, ")")?;
            }
        } else {
            self.put_unchecked_load(pointer, policy, context)?;
        }

        Ok(())
    }

    fn put_unchecked_load(
        &mut self,
        pointer: Handle<crate::Expression>,
        policy: index::BoundsCheckPolicy,
        context: &ExpressionContext,
    ) -> BackendResult {
        let is_atomic = match *context.resolve_type(pointer) {
            crate::TypeInner::Pointer { base, .. } => match context.module.types[base].inner {
                crate::TypeInner::Atomic { .. } => true,
                _ => false,
            },
            _ => false,
        };

        if is_atomic {
            write!(
                self.out,
                "{}::atomic_load_explicit({}",
                NAMESPACE, ATOMIC_REFERENCE
            )?;
            self.put_access_chain(pointer, policy, context)?;
            write!(self.out, ", {}::memory_order_relaxed)", NAMESPACE)?;
        } else {
            // We don't do any dereferencing with `*` here as pointer arguments to functions
            // are done by `&` references and not `*` pointers. These do not need to be
            // dereferenced.
            self.put_access_chain(pointer, policy, context)?;
        }

        Ok(())
    }

    fn put_return_value(
        &mut self,
        level: back::Level,
        expr_handle: Handle<crate::Expression>,
        result_struct: Option<&str>,
        context: &ExpressionContext,
    ) -> BackendResult {
        match result_struct {
            Some(struct_name) => {
                let mut has_point_size = false;
                let result_ty = context.function.result.as_ref().unwrap().ty;
                match context.module.types[result_ty].inner {
                    crate::TypeInner::Struct { ref members, .. } => {
                        let tmp = "_tmp";
                        write!(self.out, "{}const auto {} = ", level, tmp)?;
                        self.put_expression(expr_handle, context, true)?;
                        writeln!(self.out, ";")?;
                        write!(self.out, "{}return {} {{", level, struct_name)?;

                        let mut is_first = true;

                        for (index, member) in members.iter().enumerate() {
                            match member.binding {
                                Some(crate::Binding::BuiltIn(crate::BuiltIn::PointSize)) => {
                                    has_point_size = true;
                                    if !context.pipeline_options.allow_point_size {
                                        continue;
                                    }
                                }
                                Some(crate::Binding::BuiltIn(crate::BuiltIn::CullDistance)) => {
                                    log::warn!("Ignoring CullDistance built-in");
                                    continue;
                                }
                                _ => {}
                            }

                            let comma = if is_first { "" } else { "," };
                            is_first = false;
                            let name = &self.names[&NameKey::StructMember(result_ty, index as u32)];
                            // HACK: we are forcefully deduplicating the expression here
                            // to convert from a wrapped struct to a raw array, e.g.
                            // `float gl_ClipDistance1 [[clip_distance]] [1];`.
                            if let crate::TypeInner::Array {
                                size: crate::ArraySize::Constant(const_handle),
                                ..
                            } = context.module.types[member.ty].inner
                            {
                                let size = context.module.constants[const_handle]
                                    .to_array_length()
                                    .unwrap();
                                write!(self.out, "{} {{", comma)?;
                                for j in 0..size {
                                    if j != 0 {
                                        write!(self.out, ",")?;
                                    }
                                    write!(
                                        self.out,
                                        "{}.{}.{}[{}]",
                                        tmp, name, WRAPPED_ARRAY_FIELD, j
                                    )?;
                                }
                                write!(self.out, "}}")?;
                            } else {
                                write!(self.out, "{} {}.{}", comma, tmp, name)?;
                            }
                        }
                    }
                    _ => {
                        write!(self.out, "{}return {} {{ ", level, struct_name)?;
                        self.put_expression(expr_handle, context, true)?;
                    }
                }

                if let FunctionOrigin::EntryPoint(ep_index) = context.origin {
                    let stage = context.module.entry_points[ep_index as usize].stage;
                    if context.pipeline_options.allow_point_size
                        && stage == crate::ShaderStage::Vertex
                        && !has_point_size
                    {
                        // point size was injected and comes last
                        write!(self.out, ", 1.0")?;
                    }
                }
                write!(self.out, " }}")?;
            }
            None => {
                write!(self.out, "{}return ", level)?;
                self.put_expression(expr_handle, context, true)?;
            }
        }
        writeln!(self.out, ";")?;
        Ok(())
    }

    /// Helper method used to find which expressions of a given function require baking
    ///
    /// # Notes
    /// This function overwrites the contents of `self.need_bake_expressions`
    fn update_expressions_to_bake(
        &mut self,
        func: &crate::Function,
        info: &valid::FunctionInfo,
        context: &ExpressionContext,
    ) {
        use crate::Expression;
        self.need_bake_expressions.clear();
        for expr in func.expressions.iter() {
            // Expressions whose reference count is above the
            // threshold should always be stored in temporaries.
            let expr_info = &info[expr.0];
            let min_ref_count = func.expressions[expr.0].bake_ref_count();
            if min_ref_count <= expr_info.ref_count {
                self.need_bake_expressions.insert(expr.0);
            }

            // WGSL's `dot` function works on any `vecN` type, but Metal's only
            // works on floating-point vectors, so we emit inline code for
            // integer vector `dot` calls. But that code uses each argument `N`
            // times, once for each component (see `put_dot_product`), so to
            // avoid duplicated evaluation, we must bake integer operands.
            if let (
                fun_handle,
                &Expression::Math {
                    fun: crate::MathFunction::Dot,
                    arg,
                    arg1,
                    ..
                },
            ) = expr
            {
                use crate::TypeInner;
                // check what kind of product this is depending
                // on the resolve type of the Dot function itself
                let inner = context.resolve_type(fun_handle);
                if let TypeInner::Scalar { kind, .. } = *inner {
                    match kind {
                        crate::ScalarKind::Sint | crate::ScalarKind::Uint => {
                            self.need_bake_expressions.insert(arg);
                            self.need_bake_expressions.insert(arg1.unwrap());
                        }
                        _ => {}
                    }
                }
            }
        }
    }

    fn start_baking_expression(
        &mut self,
        handle: Handle<crate::Expression>,
        context: &ExpressionContext,
        name: &str,
    ) -> BackendResult {
        match context.info[handle].ty {
            TypeResolution::Handle(ty_handle) => {
                let ty_name = TypeContext {
                    handle: ty_handle,
                    module: context.module,
                    names: &self.names,
                    access: crate::StorageAccess::empty(),
                    binding: None,
                    first_time: false,
                };
                write!(self.out, "{}", ty_name)?;
            }
            TypeResolution::Value(crate::TypeInner::Scalar { kind, .. }) => {
                put_numeric_type(&mut self.out, kind, &[])?;
            }
            TypeResolution::Value(crate::TypeInner::Vector { size, kind, .. }) => {
                put_numeric_type(&mut self.out, kind, &[size])?;
            }
            TypeResolution::Value(crate::TypeInner::Matrix { columns, rows, .. }) => {
                put_numeric_type(&mut self.out, crate::ScalarKind::Float, &[rows, columns])?;
            }
            TypeResolution::Value(ref other) => {
                log::warn!("Type {:?} isn't a known local", other); //TEMP!
                return Err(Error::FeatureNotImplemented("weird local type".to_string()));
            }
        }

        //TODO: figure out the naming scheme that wouldn't collide with user names.
        write!(self.out, " {} = ", name)?;

        Ok(())
    }

    /// Cache a clamped level of detail value, if necessary.
    ///
    /// [`ImageLoad`] accesses covered by [`BoundsCheckPolicy::Restrict`] use a
    /// properly clamped level of detail value both in the access itself, and
    /// for fetching the size of the requested MIP level, needed to clamp the
    /// coordinates. To avoid recomputing this clamped level of detail, we cache
    /// it in a temporary variable, as part of the [`Emit`] statement covering
    /// the [`ImageLoad`] expression.
    ///
    /// [`ImageLoad`]: crate::Expression::ImageLoad
    /// [`BoundsCheckPolicy::Restrict`]: index::BoundsCheckPolicy::Restrict
    /// [`Emit`]: crate::Statement::Emit
    fn put_cache_restricted_level(
        &mut self,
        load: Handle<crate::Expression>,
        image: Handle<crate::Expression>,
        mip_level: Option<Handle<crate::Expression>>,
        indent: back::Level,
        context: &StatementContext,
    ) -> BackendResult {
        // Does this image access actually require (or even permit) a
        // level-of-detail, and does the policy require us to restrict it?
        let level_of_detail = match mip_level {
            Some(level) => level,
            None => return Ok(()),
        };

        if context.expression.policies.image != index::BoundsCheckPolicy::Restrict
            || !context.expression.image_needs_lod(image)
        {
            return Ok(());
        }

        write!(
            self.out,
            "{}uint {}{} = ",
            indent,
            CLAMPED_LOD_LOAD_PREFIX,
            load.index(),
        )?;
        self.put_restricted_scalar_image_index(
            image,
            level_of_detail,
            "get_num_mip_levels",
            &context.expression,
        )?;
        writeln!(self.out, ";")?;

        Ok(())
    }

    fn put_block(
        &mut self,
        level: back::Level,
        statements: &[crate::Statement],
        context: &StatementContext,
    ) -> BackendResult {
        // Add to the set in order to track the stack size.
        #[cfg(test)]
        #[allow(trivial_casts)]
        self.put_block_stack_pointers
            .insert(&level as *const _ as *const ());

        for statement in statements {
            log::trace!("statement[{}] {:?}", level.0, statement);
            match *statement {
                crate::Statement::Emit(ref range) => {
                    for handle in range.clone() {
                        // `ImageLoad` expressions covered by the `Restrict` bounds check policy
                        // may need to cache a clamped version of their level-of-detail argument.
                        if let crate::Expression::ImageLoad {
                            image,
                            level: mip_level,
                            ..
                        } = context.expression.function.expressions[handle]
                        {
                            self.put_cache_restricted_level(
                                handle, image, mip_level, level, context,
                            )?;
                        }

                        let info = &context.expression.info[handle];
                        let ptr_class = info
                            .ty
                            .inner_with(&context.expression.module.types)
                            .pointer_space();
                        let expr_name = if ptr_class.is_some() {
                            None // don't bake pointer expressions (just yet)
                        } else if let Some(name) =
                            context.expression.function.named_expressions.get(&handle)
                        {
                            // The `crate::Function::named_expressions` table holds
                            // expressions that should be saved in temporaries once they
                            // are `Emit`ted. We only add them to `self.named_expressions`
                            // when we reach the `Emit` that covers them, so that we don't
                            // try to use their names before we've actually initialized
                            // the temporary that holds them.
                            //
                            // Don't assume the names in `named_expressions` are unique,
                            // or even valid. Use the `Namer`.
                            Some(self.namer.call(name))
                        } else if info.ref_count == 0 {
                            Some(self.namer.call(""))
                        } else {
                            // If this expression is an index that we're going to first compare
                            // against a limit, and then actually use as an index, then we may
                            // want to cache it in a temporary, to avoid evaluating it twice.
                            let bake =
                                if context.expression.guarded_indices.contains(handle.index()) {
                                    true
                                } else {
                                    self.need_bake_expressions.contains(&handle)
                                };

                            if bake {
                                Some(format!("{}{}", back::BAKE_PREFIX, handle.index()))
                            } else {
                                None
                            }
                        };

                        if let Some(name) = expr_name {
                            write!(self.out, "{}", level)?;
                            self.start_baking_expression(handle, &context.expression, &name)?;
                            self.put_expression(handle, &context.expression, true)?;
                            self.named_expressions.insert(handle, name);
                            writeln!(self.out, ";")?;
                        }
                    }
                }
                crate::Statement::Block(ref block) => {
                    if !block.is_empty() {
                        writeln!(self.out, "{}{{", level)?;
                        self.put_block(level.next(), block, context)?;
                        writeln!(self.out, "{}}}", level)?;
                    }
                }
                crate::Statement::If {
                    condition,
                    ref accept,
                    ref reject,
                } => {
                    write!(self.out, "{}if (", level)?;
                    self.put_expression(condition, &context.expression, true)?;
                    writeln!(self.out, ") {{")?;
                    self.put_block(level.next(), accept, context)?;
                    if !reject.is_empty() {
                        writeln!(self.out, "{}}} else {{", level)?;
                        self.put_block(level.next(), reject, context)?;
                    }
                    writeln!(self.out, "{}}}", level)?;
                }
                crate::Statement::Switch {
                    selector,
                    ref cases,
                } => {
                    write!(self.out, "{}switch(", level)?;
                    self.put_expression(selector, &context.expression, true)?;
                    let type_postfix = match *context.expression.resolve_type(selector) {
                        crate::TypeInner::Scalar {
                            kind: crate::ScalarKind::Uint,
                            ..
                        } => "u",
                        _ => "",
                    };
                    writeln!(self.out, ") {{")?;
                    let lcase = level.next();
                    for case in cases.iter() {
                        match case.value {
                            crate::SwitchValue::Integer(value) => {
                                writeln!(self.out, "{}case {}{}: {{", lcase, value, type_postfix)?;
                            }
                            crate::SwitchValue::Default => {
                                writeln!(self.out, "{}default: {{", lcase)?;
                            }
                        }
                        self.put_block(lcase.next(), &case.body, context)?;
                        if !case.fall_through
                            && case.body.last().map_or(true, |s| !s.is_terminator())
                        {
                            writeln!(self.out, "{}break;", lcase.next())?;
                        }
                        writeln!(self.out, "{}}}", lcase)?;
                    }
                    writeln!(self.out, "{}}}", level)?;
                }
                crate::Statement::Loop {
                    ref body,
                    ref continuing,
                    break_if,
                } => {
                    if !continuing.is_empty() || break_if.is_some() {
                        let gate_name = self.namer.call("loop_init");
                        writeln!(self.out, "{}bool {} = true;", level, gate_name)?;
                        writeln!(self.out, "{}while(true) {{", level)?;
                        let lif = level.next();
                        let lcontinuing = lif.next();
                        writeln!(self.out, "{}if (!{}) {{", lif, gate_name)?;
                        self.put_block(lcontinuing, continuing, context)?;
                        if let Some(condition) = break_if {
                            write!(self.out, "{}if (", lcontinuing)?;
                            self.put_expression(condition, &context.expression, true)?;
                            writeln!(self.out, ") {{")?;
                            writeln!(self.out, "{}break;", lcontinuing.next())?;
                            writeln!(self.out, "{}}}", lcontinuing)?;
                        }
                        writeln!(self.out, "{}}}", lif)?;
                        writeln!(self.out, "{}{} = false;", lif, gate_name)?;
                    } else {
                        writeln!(self.out, "{}while(true) {{", level)?;
                    }
                    self.put_block(level.next(), body, context)?;
                    writeln!(self.out, "{}}}", level)?;
                }
                crate::Statement::Break => {
                    writeln!(self.out, "{}break;", level)?;
                }
                crate::Statement::Continue => {
                    writeln!(self.out, "{}continue;", level)?;
                }
                crate::Statement::Return {
                    value: Some(expr_handle),
                } => {
                    self.put_return_value(
                        level,
                        expr_handle,
                        context.result_struct,
                        &context.expression,
                    )?;
                }
                crate::Statement::Return { value: None } => {
                    writeln!(self.out, "{}return;", level)?;
                }
                crate::Statement::Kill => {
                    writeln!(self.out, "{}{}::discard_fragment();", level, NAMESPACE)?;
                }
                crate::Statement::Barrier(flags) => {
                    //Note: OR-ring bitflags requires `__HAVE_MEMFLAG_OPERATORS__`,
                    // so we try to avoid it here.
                    if flags.is_empty() {
                        writeln!(
                            self.out,
                            "{}{}::threadgroup_barrier({}::mem_flags::mem_none);",
                            level, NAMESPACE, NAMESPACE,
                        )?;
                    }
                    if flags.contains(crate::Barrier::STORAGE) {
                        writeln!(
                            self.out,
                            "{}{}::threadgroup_barrier({}::mem_flags::mem_device);",
                            level, NAMESPACE, NAMESPACE,
                        )?;
                    }
                    if flags.contains(crate::Barrier::WORK_GROUP) {
                        writeln!(
                            self.out,
                            "{}{}::threadgroup_barrier({}::mem_flags::mem_threadgroup);",
                            level, NAMESPACE, NAMESPACE,
                        )?;
                    }
                }
                crate::Statement::Store { pointer, value } => {
                    self.put_store(pointer, value, level, context)?
                }
                crate::Statement::ImageStore {
                    image,
                    coordinate,
                    array_index,
                    value,
                } => {
                    let address = TexelAddress {
                        coordinate,
                        array_index,
                        sample: None,
                        level: None,
                    };
                    self.put_image_store(level, image, &address, value, context)?
                }
                crate::Statement::Call {
                    function,
                    ref arguments,
                    result,
                } => {
                    write!(self.out, "{}", level)?;
                    if let Some(expr) = result {
                        let name = format!("{}{}", back::BAKE_PREFIX, expr.index());
                        self.start_baking_expression(expr, &context.expression, &name)?;
                        self.named_expressions.insert(expr, name);
                    }
                    let fun_name = &self.names[&NameKey::Function(function)];
                    write!(self.out, "{}(", fun_name)?;
                    // first, write down the actual arguments
                    for (i, &handle) in arguments.iter().enumerate() {
                        if i != 0 {
                            write!(self.out, ", ")?;
                        }
                        self.put_expression(handle, &context.expression, true)?;
                    }
                    // follow-up with any global resources used
                    let mut separate = !arguments.is_empty();
                    let fun_info = &context.mod_info[function];
                    let mut supports_array_length = false;
                    for (handle, var) in context.expression.module.global_variables.iter() {
                        if fun_info[handle].is_empty() {
                            continue;
                        }
                        if var.space.needs_pass_through() {
                            let name = &self.names[&NameKey::GlobalVariable(handle)];
                            if separate {
                                write!(self.out, ", ")?;
                            } else {
                                separate = true;
                            }
                            write!(self.out, "{}", name)?;
                        }
                        supports_array_length |=
                            needs_array_length(var.ty, &context.expression.module.types);
                    }
                    if supports_array_length {
                        if separate {
                            write!(self.out, ", ")?;
                        }
                        write!(self.out, "_buffer_sizes")?;
                    }

                    // done
                    writeln!(self.out, ");")?;
                }
                crate::Statement::Atomic {
                    pointer,
                    ref fun,
                    value,
                    result,
                } => {
                    write!(self.out, "{}", level)?;

                    if let crate::AtomicFunction::Exchange { compare: Some(cmp) } = *fun {
                        let res_name = format!("{}{}", back::BAKE_PREFIX, cmp.index());
                        self.named_expressions.insert(result, res_name);

                        // returned bool is useless
                        let context = &context.expression;
                        let policy = context.choose_bounds_check_policy(pointer);
                        let checked = policy == index::BoundsCheckPolicy::ReadZeroSkipWrite
                            && self.put_bounds_checks(pointer, context, back::Level(0), "")?;
                
                        if checked {
                            write!(self.out, " ? ")?;
                        }
                        
                        write!(self.out, "{}::atomic_compare_exchange_weak_explicit({}", NAMESPACE, ATOMIC_REFERENCE)?;
                        self.put_access_chain(pointer, policy, context)?;
                        write!(self.out, ", ")?;
                        write!(self.out, "{}", ATOMIC_REFERENCE)?;
                        self.put_access_chain(cmp, policy, context)?;
                        write!(self.out, ", ")?;
                        self.put_expression(value, context, true)?;
                        write!(self.out, ", {}::memory_order_relaxed", NAMESPACE)?;
                        write!(self.out, ", {}::memory_order_relaxed)", NAMESPACE)?;
                        
                        if checked {
                            write!(self.out, " : DefaultConstructible()")?;
                        }
                        writeln!(self.out, ";")?;
                        continue;
                    }

                    let res_name = format!("{}{}", back::BAKE_PREFIX, result.index());
                    self.start_baking_expression(result, &context.expression, &res_name)?;
                    self.named_expressions.insert(result, res_name);
                    match *fun {
                        crate::AtomicFunction::Add => {
                            self.put_atomic_fetch(pointer, "add", value, &context.expression)?;
                        }
                        crate::AtomicFunction::Subtract => {
                            self.put_atomic_fetch(pointer, "sub", value, &context.expression)?;
                        }
                        crate::AtomicFunction::And => {
                            self.put_atomic_fetch(pointer, "and", value, &context.expression)?;
                        }
                        crate::AtomicFunction::InclusiveOr => {
                            self.put_atomic_fetch(pointer, "or", value, &context.expression)?;
                        }
                        crate::AtomicFunction::ExclusiveOr => {
                            self.put_atomic_fetch(pointer, "xor", value, &context.expression)?;
                        }
                        crate::AtomicFunction::Min => {
                            self.put_atomic_fetch(pointer, "min", value, &context.expression)?;
                        }
                        crate::AtomicFunction::Max => {
                            self.put_atomic_fetch(pointer, "max", value, &context.expression)?;
                        }
                        crate::AtomicFunction::Exchange { compare: None } => {
                            write!(
                                self.out,
                                "{}::atomic_exchange_explicit({}",
                                NAMESPACE, ATOMIC_REFERENCE,
                            )?;
                            self.put_expression(pointer, &context.expression, true)?;
                            write!(self.out, ", ")?;
                            self.put_expression(value, &context.expression, true)?;
                            write!(self.out, ", {}::memory_order_relaxed)", NAMESPACE)?;
                        }
                        _ => {},
                    }
                    // done
                    writeln!(self.out, ";")?;
                }
            }
        }

        // un-emit expressions
        //TODO: take care of loop/continuing?
        for statement in statements {
            if let crate::Statement::Emit(ref range) = *statement {
                for handle in range.clone() {
                    self.named_expressions.remove(&handle);
                }
            }
        }
        Ok(())
    }

    fn put_store(
        &mut self,
        pointer: Handle<crate::Expression>,
        value: Handle<crate::Expression>,
        level: back::Level,
        context: &StatementContext,
    ) -> BackendResult {
        let policy = context.expression.choose_bounds_check_policy(pointer);
        if policy == index::BoundsCheckPolicy::ReadZeroSkipWrite
            && self.put_bounds_checks(pointer, &context.expression, level, "if (")?
        {
            writeln!(self.out, ") {{")?;
            self.put_unchecked_store(pointer, value, policy, level.next(), context)?;
            writeln!(self.out, "{}}}", level)?;
        } else {
            self.put_unchecked_store(pointer, value, policy, level, context)?;
        }

        Ok(())
    }

    fn put_unchecked_store(
        &mut self,
        pointer: Handle<crate::Expression>,
        value: Handle<crate::Expression>,
        policy: index::BoundsCheckPolicy,
        level: back::Level,
        context: &StatementContext,
    ) -> BackendResult {
        let pointer_inner = context.expression.resolve_type(pointer);
        let (array_size, is_atomic) = match *pointer_inner {
            crate::TypeInner::Pointer { base, .. } => {
                match context.expression.module.types[base].inner {
                    crate::TypeInner::Array {
                        size: crate::ArraySize::Constant(ch),
                        ..
                    } => (Some(ch), false),
                    crate::TypeInner::Atomic { .. } => (None, true),
                    _ => (None, false),
                }
            }
            _ => (None, false),
        };

        // we can't assign fixed-size arrays
        if let Some(const_handle) = array_size {
            let size = context.expression.module.constants[const_handle]
                .to_array_length()
                .unwrap();
            write!(self.out, "{}for(int _i=0; _i<{}; ++_i) ", level, size)?;
            self.put_access_chain(pointer, policy, &context.expression)?;
            write!(self.out, ".{}[_i] = ", WRAPPED_ARRAY_FIELD)?;
            self.put_expression(value, &context.expression, true)?;
            writeln!(self.out, ".{}[_i];", WRAPPED_ARRAY_FIELD)?;
        } else if is_atomic {
            write!(
                self.out,
                "{}{}::atomic_store_explicit({}",
                level, NAMESPACE, ATOMIC_REFERENCE
            )?;
            self.put_access_chain(pointer, policy, &context.expression)?;
            write!(self.out, ", ")?;
            self.put_expression(value, &context.expression, true)?;
            writeln!(self.out, ", {}::memory_order_relaxed);", NAMESPACE)?;
        } else {
            write!(self.out, "{}", level)?;
            self.put_access_chain(pointer, policy, &context.expression)?;
            write!(self.out, " = ")?;
            self.put_expression(value, &context.expression, true)?;
            writeln!(self.out, ";")?;
        }

        Ok(())
    }

    pub fn write(
        &mut self,
        module: &crate::Module,
        info: &valid::ModuleInfo,
        options: &Options,
        pipeline_options: &PipelineOptions,
    ) -> Result<TranslationInfo, Error> {
        self.names.clear();
        self.namer
            .reset(module, super::keywords::RESERVED, &[], &mut self.names);
        self.struct_member_pads.clear();

        writeln!(
            self.out,
            "// language: metal{}.{}",
            options.lang_version.0, options.lang_version.1
        )?;
        writeln!(self.out, "#include <metal_stdlib>")?;
        writeln!(self.out, "#include <simd/simd.h>")?;
        writeln!(self.out)?;
        // Work around Metal bug where `uint` is not available by default
        writeln!(self.out, "using {}::uint;", NAMESPACE)?;
        writeln!(self.out)?;

        if options
            .bounds_check_policies
            .contains(index::BoundsCheckPolicy::ReadZeroSkipWrite)
        {
            self.put_default_constructible()?;
        }

        {
            let mut indices = vec![];
            for (handle, var) in module.global_variables.iter() {
                if needs_array_length(var.ty, &module.types) {
                    let idx = handle.index();
                    indices.push(idx);
                }
            }

            if !indices.is_empty() {
                writeln!(self.out, "struct _mslBufferSizes {{")?;

                for idx in indices {
                    writeln!(self.out, "{}uint size{};", back::INDENT, idx)?;
                }

                writeln!(self.out, "}};")?;
                writeln!(self.out)?;
            }
        };

        self.write_scalar_constants(module)?;
        self.write_type_defs(module)?;
        self.write_composite_constants(module)?;
        self.write_functions(module, info, options, pipeline_options)
    }

    /// Write the definition for the `DefaultConstructible` class.
    ///
    /// The [`ReadZeroSkipWrite`] bounds check policy requires us to be able to
    /// produce 'zero' values for any type, including structs, arrays, and so
    /// on. We could do this by emitting default constructor applications, but
    /// that would entail printing the name of the type, which is more trouble
    /// than you'd think. Instead, we just construct this magic C++14 class that
    /// can be converted to any type that can be default constructed, using
    /// template parameter inference to detect which type is needed, so we don't
    /// have to figure out the name.
    ///
    /// [`ReadZeroSkipWrite`]: index::BoundsCheckPolicy::ReadZeroSkipWrite
    fn put_default_constructible(&mut self) -> BackendResult {
        writeln!(self.out, "struct DefaultConstructible {{")?;
        writeln!(self.out, "    template<typename T>")?;
        writeln!(self.out, "    operator T() && {{")?;
        writeln!(self.out, "        return T {{}};")?;
        writeln!(self.out, "    }}")?;
        writeln!(self.out, "}};")?;
        Ok(())
    }

    fn write_type_defs(&mut self, module: &crate::Module) -> BackendResult {
        for (handle, ty) in module.types.iter() {
            if !ty.needs_alias() {
                continue;
            }
            let name = &self.names[&NameKey::Type(handle)];
            match ty.inner {
                // Naga IR can pass around arrays by value, but Metal, following
                // C++, performs an array-to-pointer conversion (C++ [conv.array])
                // on expressions of array type, so assigning the array by value
                // isn't possible. However, Metal *does* assign structs by
                // value. So in our Metal output, we wrap all array types in
                // synthetic struct types:
                //
                //     struct type1 {
                //         float inner[10]
                //     };
                //
                // Then we carefully include `.inner` (`WRAPPED_ARRAY_FIELD`) in
                // any expression that actually wants access to the array.
                crate::TypeInner::Array {
                    base,
                    size,
                    stride: _,
                } => {
                    let base_name = TypeContext {
                        handle: base,
                        module,
                        names: &self.names,
                        access: crate::StorageAccess::empty(),
                        binding: None,
                        first_time: false,
                    };

                    match size {
                        crate::ArraySize::Constant(const_handle) => {
                            let coco = ConstantContext {
                                handle: const_handle,
                                arena: &module.constants,
                                names: &self.names,
                                first_time: false,
                            };

                            writeln!(self.out, "struct {} {{", name)?;
                            writeln!(
                                self.out,
                                "{}{} {}[{}];",
                                back::INDENT,
                                base_name,
                                WRAPPED_ARRAY_FIELD,
                                coco
                            )?;
                            writeln!(self.out, "}};")?;
                        }
                        crate::ArraySize::Dynamic => {
                            writeln!(self.out, "typedef {} {}[1];", base_name, name)?;
                        }
                    }
                }
                crate::TypeInner::Struct {
                    ref members, span, ..
                } => {
                    writeln!(self.out, "struct {} {{", name)?;
                    let mut last_offset = 0;
                    for (index, member) in members.iter().enumerate() {
                        // quick and dirty way to figure out if we need this...
                        if member.binding.is_none() && member.offset > last_offset {
                            self.struct_member_pads.insert((handle, index as u32));
                            let pad = member.offset - last_offset;
                            writeln!(self.out, "{}char _pad{}[{}];", back::INDENT, index, pad)?;
                        }
                        let ty_inner = &module.types[member.ty].inner;
                        last_offset = member.offset + ty_inner.size(&module.constants);

                        let member_name = &self.names[&NameKey::StructMember(handle, index as u32)];

                        // If the member should be packed (as is the case for a misaligned vec3) issue a packed vector
                        match should_pack_struct_member(members, span, index, module) {
                            Some(kind) => {
                                writeln!(
                                    self.out,
                                    "{}{}::packed_{}3 {};",
                                    back::INDENT,
                                    NAMESPACE,
                                    kind.to_msl_name(),
                                    member_name
                                )?;
                            }
                            None => {
                                let base_name = TypeContext {
                                    handle: member.ty,
                                    module,
                                    names: &self.names,
                                    access: crate::StorageAccess::empty(),
                                    binding: None,
                                    first_time: false,
                                };
                                writeln!(
                                    self.out,
                                    "{}{} {};",
                                    back::INDENT,
                                    base_name,
                                    member_name
                                )?;

                                // for 3-component vectors, add one component
                                if let crate::TypeInner::Vector {
                                    size: crate::VectorSize::Tri,
                                    kind: _,
                                    width,
                                } = *ty_inner
                                {
                                    last_offset += width as u32;
                                }
                            }
                        }
                    }
                    writeln!(self.out, "}};")?;
                }
                _ => {
                    let ty_name = TypeContext {
                        handle,
                        module,
                        names: &self.names,
                        access: crate::StorageAccess::empty(),
                        binding: None,
                        first_time: true,
                    };
                    writeln!(self.out, "typedef {} {};", ty_name, name)?;
                }
            }
        }
        Ok(())
    }

    fn write_scalar_constants(&mut self, module: &crate::Module) -> BackendResult {
        for (handle, constant) in module.constants.iter() {
            match constant.inner {
                crate::ConstantInner::Scalar {
                    width: _,
                    ref value,
                } if constant.name.is_some() => {
                    debug_assert!(constant.needs_alias());
                    write!(self.out, "constexpr constant ")?;
                    match *value {
                        crate::ScalarValue::Sint(_) => {
                            write!(self.out, "int")?;
                        }
                        crate::ScalarValue::Uint(_) => {
                            write!(self.out, "unsigned")?;
                        }
                        crate::ScalarValue::Float(_) => {
                            write!(self.out, "float")?;
                        }
                        crate::ScalarValue::Bool(_) => {
                            write!(self.out, "bool")?;
                        }
                    }
                    let name = &self.names[&NameKey::Constant(handle)];
                    let coco = ConstantContext {
                        handle,
                        arena: &module.constants,
                        names: &self.names,
                        first_time: true,
                    };
                    writeln!(self.out, " {} = {};", name, coco)?;
                }
                _ => {}
            }
        }
        Ok(())
    }

    fn write_composite_constants(&mut self, module: &crate::Module) -> BackendResult {
        for (handle, constant) in module.constants.iter() {
            match constant.inner {
                crate::ConstantInner::Scalar { .. } => {}
                crate::ConstantInner::Composite { ty, ref components } => {
                    debug_assert!(constant.needs_alias());
                    let name = &self.names[&NameKey::Constant(handle)];
                    let ty_name = TypeContext {
                        handle: ty,
                        module,
                        names: &self.names,
                        access: crate::StorageAccess::empty(),
                        binding: None,
                        first_time: false,
                    };
                    write!(self.out, "constant {} {} = {{", ty_name, name,)?;
                    for (i, &sub_handle) in components.iter().enumerate() {
                        // insert padding initialization, if needed
                        if self.struct_member_pads.contains(&(ty, i as u32)) {
                            write!(self.out, ", {{}}")?;
                        }
                        let separator = if i != 0 { ", " } else { "" };
                        let coco = ConstantContext {
                            handle: sub_handle,
                            arena: &module.constants,
                            names: &self.names,
                            first_time: false,
                        };
                        write!(self.out, "{}{}", separator, coco)?;
                    }
                    writeln!(self.out, "}};")?;
                }
            }
        }
        Ok(())
    }

    fn put_inline_sampler_properties(
        &mut self,
        level: back::Level,
        sampler: &sm::InlineSampler,
    ) -> BackendResult {
        for (&letter, address) in ['s', 't', 'r'].iter().zip(sampler.address.iter()) {
            writeln!(
                self.out,
                "{}{}::{}_address::{},",
                level,
                NAMESPACE,
                letter,
                address.as_str(),
            )?;
        }
        writeln!(
            self.out,
            "{}{}::mag_filter::{},",
            level,
            NAMESPACE,
            sampler.mag_filter.as_str(),
        )?;
        writeln!(
            self.out,
            "{}{}::min_filter::{},",
            level,
            NAMESPACE,
            sampler.min_filter.as_str(),
        )?;
        if let Some(filter) = sampler.mip_filter {
            writeln!(
                self.out,
                "{}{}::mip_filter::{},",
                level,
                NAMESPACE,
                filter.as_str(),
            )?;
        }
        // avoid setting it on platforms that don't support it
        if sampler.border_color != sm::BorderColor::TransparentBlack {
            writeln!(
                self.out,
                "{}{}::border_color::{},",
                level,
                NAMESPACE,
                sampler.border_color.as_str(),
            )?;
        }
        //TODO: I'm not able to feed this in a way that MSL likes:
        //>error: use of undeclared identifier 'lod_clamp'
        //>error: no member named 'max_anisotropy' in namespace 'metal'
        if false {
            if let Some(ref lod) = sampler.lod_clamp {
                writeln!(self.out, "{}lod_clamp({},{}),", level, lod.start, lod.end,)?;
            }
            if let Some(aniso) = sampler.max_anisotropy {
                writeln!(self.out, "{}max_anisotropy({}),", level, aniso.get(),)?;
            }
        }
        if sampler.compare_func != sm::CompareFunc::Never {
            writeln!(
                self.out,
                "{}{}::compare_func::{},",
                level,
                NAMESPACE,
                sampler.compare_func.as_str(),
            )?;
        }
        writeln!(
            self.out,
            "{}{}::coord::{}",
            level,
            NAMESPACE,
            sampler.coord.as_str()
        )?;
        Ok(())
    }

    // Returns the array of mapped entry point names.
    fn write_functions(
        &mut self,
        module: &crate::Module,
        mod_info: &valid::ModuleInfo,
        options: &Options,
        pipeline_options: &PipelineOptions,
    ) -> Result<TranslationInfo, Error> {
        let mut pass_through_globals = Vec::new();
        for (fun_handle, fun) in module.functions.iter() {
            log::trace!(
                "function {:?}, handle {:?}",
                fun.name.as_deref().unwrap_or("(anonymous)"),
                fun_handle
            );

            let fun_info = &mod_info[fun_handle];
            pass_through_globals.clear();
            let mut supports_array_length = false;
            for (handle, var) in module.global_variables.iter() {
                if !fun_info[handle].is_empty() {
                    if var.space.needs_pass_through() {
                        pass_through_globals.push(handle);
                    }
                    supports_array_length |= needs_array_length(var.ty, &module.types);
                }
            }

            writeln!(self.out)?;
            let fun_name = &self.names[&NameKey::Function(fun_handle)];
            match fun.result {
                Some(ref result) => {
                    let ty_name = TypeContext {
                        handle: result.ty,
                        module,
                        names: &self.names,
                        access: crate::StorageAccess::empty(),
                        binding: None,
                        first_time: false,
                    };
                    write!(self.out, "{}", ty_name)?;
                }
                None => {
                    write!(self.out, "void")?;
                }
            }
            writeln!(self.out, " {}(", fun_name)?;

            for (index, arg) in fun.arguments.iter().enumerate() {
                let name = &self.names[&NameKey::FunctionArgument(fun_handle, index as u32)];
                let param_type_name = TypeContext {
                    handle: arg.ty,
                    module,
                    names: &self.names,
                    access: crate::StorageAccess::empty(),
                    binding: None,
                    first_time: false,
                };
                let separator = separate(
                    !pass_through_globals.is_empty()
                        || index + 1 != fun.arguments.len()
                        || supports_array_length,
                );
                writeln!(
                    self.out,
                    "{}{} {}{}",
                    back::INDENT,
                    param_type_name,
                    name,
                    separator
                )?;
            }
            for (index, &handle) in pass_through_globals.iter().enumerate() {
                let tyvar = TypedGlobalVariable {
                    module,
                    names: &self.names,
                    handle,
                    usage: fun_info[handle],
                    binding: None,
                    reference: true,
                };
                let separator =
                    separate(index + 1 != pass_through_globals.len() || supports_array_length);
                write!(self.out, "{}", back::INDENT)?;
                tyvar.try_fmt(&mut self.out)?;
                writeln!(self.out, "{}", separator)?;
            }

            if supports_array_length {
                writeln!(
                    self.out,
                    "{}constant _mslBufferSizes& _buffer_sizes",
                    back::INDENT
                )?;
            }

            writeln!(self.out, ") {{")?;

            for (local_handle, local) in fun.local_variables.iter() {
                let ty_name = TypeContext {
                    handle: local.ty,
                    module,
                    names: &self.names,
                    access: crate::StorageAccess::empty(),
                    binding: None,
                    first_time: false,
                };
                let local_name = &self.names[&NameKey::FunctionLocal(fun_handle, local_handle)];
                write!(self.out, "{}{} {}", back::INDENT, ty_name, local_name)?;
                match local.init {
                    Some(value) => {
                        let coco = ConstantContext {
                            handle: value,
                            arena: &module.constants,
                            names: &self.names,
                            first_time: false,
                        };
                        write!(self.out, " = {}", coco)?;
                    }
                    None => {
                        write!(self.out, " = {{}}")?;
                    }
                };
                writeln!(self.out, ";")?;
            }

            let guarded_indices =
                index::find_checked_indexes(module, fun, fun_info, options.bounds_check_policies);

            let context = StatementContext {
                expression: ExpressionContext {
                    function: fun,
                    origin: FunctionOrigin::Handle(fun_handle),
                    info: fun_info,
                    policies: options.bounds_check_policies,
                    guarded_indices,
                    module,
                    pipeline_options,
                },
                mod_info,
                result_struct: None,
            };
            self.named_expressions.clear();
            self.update_expressions_to_bake(fun, fun_info, &context.expression);
            self.put_block(back::Level(1), &fun.body, &context)?;
            writeln!(self.out, "}}")?;
        }

        let mut info = TranslationInfo {
            entry_point_names: Vec::with_capacity(module.entry_points.len()),
        };
        for (ep_index, ep) in module.entry_points.iter().enumerate() {
            let fun = &ep.function;
            let fun_info = mod_info.get_entry_point(ep_index);
            let mut ep_error = None;

            log::trace!(
                "entry point {:?}, index {:?}",
                fun.name.as_deref().unwrap_or("(anonymous)"),
                ep_index
            );

            // Is any global variable used by this entry point dynamically sized?
            let supports_array_length = module
                .global_variables
                .iter()
                .filter(|&(handle, _)| !fun_info[handle].is_empty())
                .any(|(_, var)| needs_array_length(var.ty, &module.types));

            // skip this entry point if any global bindings are missing,
            // or their types are incompatible.
            if !options.fake_missing_bindings {
                for (var_handle, var) in module.global_variables.iter() {
                    if fun_info[var_handle].is_empty() {
                        continue;
                    }
                    if let Some(ref br) = var.binding {
                        let good = match options.per_stage_map[ep.stage].resources.get(br) {
                            Some(target) => {
                                let binding_ty = match module.types[var.ty].inner {
                                    crate::TypeInner::BindingArray { base, .. } => {
                                        &module.types[base].inner
                                    }
                                    ref ty => ty,
                                };
                                match *binding_ty {
                                    crate::TypeInner::Image { .. } => target.texture.is_some(),
                                    crate::TypeInner::Sampler { .. } => target.sampler.is_some(),
                                    _ => target.buffer.is_some(),
                                }
                            }
                            None => false,
                        };
                        if !good {
                            ep_error = Some(super::EntryPointError::MissingBinding(br.clone()));
                            break;
                        }
                    }
                    if var.space == crate::AddressSpace::PushConstant {
                        if let Err(e) = options.resolve_push_constants(ep.stage) {
                            ep_error = Some(e);
                            break;
                        }
                    }
                }
                if supports_array_length {
                    if let Err(err) = options.resolve_sizes_buffer(ep.stage) {
                        ep_error = Some(err);
                    }
                }
            }

            if let Some(err) = ep_error {
                info.entry_point_names.push(Err(err));
                continue;
            }
            let fun_name = &self.names[&NameKey::EntryPoint(ep_index as _)];
            info.entry_point_names.push(Ok(fun_name.clone()));

            writeln!(self.out)?;

            let (em_str, in_mode, out_mode) = match ep.stage {
                crate::ShaderStage::Vertex => (
                    "vertex",
                    LocationMode::VertexInput,
                    LocationMode::VertexOutput,
                ),
                crate::ShaderStage::Fragment { .. } => (
                    "fragment",
                    LocationMode::FragmentInput,
                    LocationMode::FragmentOutput,
                ),
                crate::ShaderStage::Compute { .. } => {
                    ("kernel", LocationMode::Uniform, LocationMode::Uniform)
                }
            };

            // List all the Naga `EntryPoint`'s `Function`'s arguments,
            // flattening structs into their members. In Metal, we will pass
            // each of these values to the entry point as a separate argument—
            // except for the varyings, handled next.
            let mut flattened_arguments = Vec::new();
            for (arg_index, arg) in fun.arguments.iter().enumerate() {
                match module.types[arg.ty].inner {
                    crate::TypeInner::Struct { ref members, .. } => {
                        for (member_index, member) in members.iter().enumerate() {
                            let member_index = member_index as u32;
                            flattened_arguments.push((
                                NameKey::StructMember(arg.ty, member_index),
                                member.ty,
                                member.binding.as_ref(),
                            ));
                        }
                    }
                    _ => flattened_arguments.push((
                        NameKey::EntryPointArgument(ep_index as _, arg_index as u32),
                        arg.ty,
                        arg.binding.as_ref(),
                    )),
                }
            }

            // Identify the varyings among the argument values, and emit a
            // struct type named `<fun>Input` to hold them.
            let stage_in_name = format!("{}Input", fun_name);
            let varyings_member_name = self.namer.call("varyings");
            let mut has_varyings = false;
            if !flattened_arguments.is_empty() {
                writeln!(self.out, "struct {} {{", stage_in_name)?;
                for &(ref name_key, ty, binding) in flattened_arguments.iter() {
                    let binding = match binding {
                        Some(ref binding @ &crate::Binding::Location { .. }) => binding,
                        _ => continue,
                    };
                    has_varyings = true;
                    let name = &self.names[name_key];
                    let ty_name = TypeContext {
                        handle: ty,
                        module,
                        names: &self.names,
                        access: crate::StorageAccess::empty(),
                        binding: None,
                        first_time: false,
                    };
                    let resolved = options.resolve_local_binding(binding, in_mode)?;
                    write!(self.out, "{}{} {}", back::INDENT, ty_name, name)?;
                    resolved.try_fmt(&mut self.out)?;
                    writeln!(self.out, ";")?;
                }
                writeln!(self.out, "}};")?;
            }

            // Define a struct type named for the return value, if any, named
            // `<fun>Output`.
            let stage_out_name = format!("{}Output", fun_name);
            let result_member_name = self.namer.call("member");
            let result_type_name = match fun.result {
                Some(ref result) => {
                    let mut result_members = Vec::new();
                    if let crate::TypeInner::Struct { ref members, .. } =
                        module.types[result.ty].inner
                    {
                        for (member_index, member) in members.iter().enumerate() {
                            result_members.push((
                                &self.names[&NameKey::StructMember(result.ty, member_index as u32)],
                                member.ty,
                                member.binding.as_ref(),
                            ));
                        }
                    } else {
                        result_members.push((
                            &result_member_name,
                            result.ty,
                            result.binding.as_ref(),
                        ));
                    }

                    writeln!(self.out, "struct {} {{", stage_out_name)?;
                    let mut has_point_size = false;
                    for (name, ty, binding) in result_members {
                        let ty_name = TypeContext {
                            handle: ty,
                            module,
                            names: &self.names,
                            access: crate::StorageAccess::empty(),
                            binding: None,
                            first_time: true,
                        };
                        let binding = binding.ok_or(Error::Validation)?;

                        match *binding {
                            // Point size is only supported in VS of pipelines with
                            // point primitive topology.
                            crate::Binding::BuiltIn(crate::BuiltIn::PointSize) => {
                                has_point_size = true;
                                if !pipeline_options.allow_point_size {
                                    continue;
                                }
                            }
                            // Cull Distance is not supported in Metal.
                            // But we can't return UnsupportedBuiltIn error to user.
                            // Because otherwise we can't generate msl shader from any glslang SPIR-V shaders.
                            // glslang generates gl_PerVertex struct with gl_CullDistance builtin inside by default.
                            crate::Binding::BuiltIn(crate::BuiltIn::CullDistance) => {
                                log::warn!("Ignoring CullDistance BuiltIn");
                                continue;
                            }
                            _ => {}
                        }

                        let array_len = match module.types[ty].inner {
                            crate::TypeInner::Array {
                                size: crate::ArraySize::Constant(handle),
                                ..
                            } => module.constants[handle].to_array_length(),
                            _ => None,
                        };
                        let resolved = options.resolve_local_binding(binding, out_mode)?;
                        write!(self.out, "{}{} {}", back::INDENT, ty_name, name)?;
                        if let Some(array_len) = array_len {
                            write!(self.out, " [{}]", array_len)?;
                        }
                        resolved.try_fmt(&mut self.out)?;
                        writeln!(self.out, ";")?;
                    }

                    if pipeline_options.allow_point_size
                        && ep.stage == crate::ShaderStage::Vertex
                        && !has_point_size
                    {
                        // inject the point size output last
                        writeln!(
                            self.out,
                            "{}float _point_size [[point_size]];",
                            back::INDENT
                        )?;
                    }
                    writeln!(self.out, "}};")?;
                    &stage_out_name
                }
                None => "void",
            };

            // Write the entry point function's name, and begin its argument list.
            writeln!(self.out, "{} {} {}(", em_str, result_type_name, fun_name)?;
            let mut is_first_argument = true;

            // If we have produced a struct holding the `EntryPoint`'s
            // `Function`'s arguments' varyings, pass that struct first.
            if has_varyings {
                writeln!(
                    self.out,
                    "  {} {} [[stage_in]]",
                    stage_in_name, varyings_member_name
                )?;
                is_first_argument = false;
            }

            // Then pass the remaining arguments not included in the varyings
            // struct.
            //
            // Since `Namer.reset` wasn't expecting struct members to be
            // suddenly injected into the normal namespace like this,
            // `self.names` doesn't keep them distinct from other variables.
            // Generate fresh names for these arguments, and remember the
            // mapping.
            let mut flattened_member_names = FastHashMap::default();
            for &(ref name_key, ty, binding) in flattened_arguments.iter() {
                let binding = match binding {
                    Some(ref binding @ &crate::Binding::BuiltIn { .. }) => binding,
                    _ => continue,
                };
                let name = if let NameKey::StructMember(ty, index) = *name_key {
                    // We should always insert a fresh entry here, but use
                    // `or_insert` to get a reference to the `String` we just
                    // inserted.
                    flattened_member_names
                        .entry(NameKey::StructMember(ty, index))
                        .or_insert_with(|| self.namer.call(&self.names[name_key]))
                } else {
                    &self.names[name_key]
                };
                let ty_name = TypeContext {
                    handle: ty,
                    module,
                    names: &self.names,
                    access: crate::StorageAccess::empty(),
                    binding: None,
                    first_time: false,
                };
                let resolved = options.resolve_local_binding(binding, in_mode)?;
                let separator = if is_first_argument {
                    is_first_argument = false;
                    ' '
                } else {
                    ','
                };
                write!(self.out, "{} {} {}", separator, ty_name, name)?;
                resolved.try_fmt(&mut self.out)?;
                writeln!(self.out)?;
            }

            // Those global variables used by this entry point and its callees
            // get passed as arguments. `Private` globals are an exception, they
            // don't outlive this invocation, so we declare them below as locals
            // within the entry point.
            for (handle, var) in module.global_variables.iter() {
                let usage = fun_info[handle];
                if usage.is_empty() || var.space == crate::AddressSpace::Private {
                    continue;
                }
                // the resolves have already been checked for `!fake_missing_bindings` case
                let resolved = match var.space {
                    crate::AddressSpace::PushConstant => {
                        options.resolve_push_constants(ep.stage).ok()
                    }
                    crate::AddressSpace::WorkGroup => None,
                    crate::AddressSpace::Storage { .. } if options.lang_version < (2, 0) => {
                        return Err(Error::UnsupportedAddressSpace(var.space))
                    }
                    _ => options
                        .resolve_resource_binding(ep.stage, var.binding.as_ref().unwrap())
                        .ok(),
                };
                if let Some(ref resolved) = resolved {
                    // Inline samplers are be defined in the EP body
                    if resolved.as_inline_sampler(options).is_some() {
                        continue;
                    }
                }

                let tyvar = TypedGlobalVariable {
                    module,
                    names: &self.names,
                    handle,
                    usage,
                    binding: resolved.as_ref(),
                    reference: true,
                };
                let separator = if is_first_argument {
                    is_first_argument = false;
                    ' '
                } else {
                    ','
                };
                write!(self.out, "{} ", separator)?;
                tyvar.try_fmt(&mut self.out)?;
                if let Some(resolved) = resolved {
                    resolved.try_fmt(&mut self.out)?;
                }
                if let Some(value) = var.init {
                    let coco = ConstantContext {
                        handle: value,
                        arena: &module.constants,
                        names: &self.names,
                        first_time: false,
                    };
                    write!(self.out, " = {}", coco)?;
                }
                writeln!(self.out)?;
            }

            // If this entry uses any variable-length arrays, their sizes are
            // passed as a final struct-typed argument.
            if supports_array_length {
                // this is checked earlier
                let resolved = options.resolve_sizes_buffer(ep.stage).unwrap();
                let separator = if module.global_variables.is_empty() {
                    ' '
                } else {
                    ','
                };
                write!(
                    self.out,
                    "{} constant _mslBufferSizes& _buffer_sizes",
                    separator,
                )?;
                resolved.try_fmt(&mut self.out)?;
                writeln!(self.out)?;
            }

            // end of the entry point argument list
            writeln!(self.out, ") {{")?;

            // Metal doesn't support private mutable variables outside of functions,
            // so we put them here, just like the locals.
            for (handle, var) in module.global_variables.iter() {
                let usage = fun_info[handle];
                if usage.is_empty() {
                    continue;
                }
                if var.space == crate::AddressSpace::Private {
                    let tyvar = TypedGlobalVariable {
                        module,
                        names: &self.names,
                        handle,
                        usage,
                        binding: None,
                        reference: false,
                    };
                    write!(self.out, "{}", back::INDENT)?;
                    tyvar.try_fmt(&mut self.out)?;
                    match var.init {
                        Some(value) => {
                            let coco = ConstantContext {
                                handle: value,
                                arena: &module.constants,
                                names: &self.names,
                                first_time: false,
                            };
                            writeln!(self.out, " = {};", coco)?;
                        }
                        None => {
                            writeln!(self.out, " = {{}};")?;
                        }
                    };
                } else if let Some(ref binding) = var.binding {
                    // write an inline sampler
                    let resolved = options.resolve_resource_binding(ep.stage, binding).unwrap();
                    if let Some(sampler) = resolved.as_inline_sampler(options) {
                        let name = &self.names[&NameKey::GlobalVariable(handle)];
                        writeln!(
                            self.out,
                            "{}constexpr {}::sampler {}(",
                            back::INDENT,
                            NAMESPACE,
                            name
                        )?;
                        self.put_inline_sampler_properties(back::Level(2), sampler)?;
                        writeln!(self.out, "{});", back::INDENT)?;
                    }
                }
            }

            // Now take the arguments that we gathered into structs, and the
            // structs that we flattened into arguments, and emit local
            // variables with initializers that put everything back the way the
            // body code expects.
            //
            // If we had to generate fresh names for struct members passed as
            // arguments, be sure to use those names when rebuilding the struct.
            //
            // "Each day, I change some zeros to ones, and some ones to zeros.
            // The rest, I leave alone."
            for (arg_index, arg) in fun.arguments.iter().enumerate() {
                let arg_name =
                    &self.names[&NameKey::EntryPointArgument(ep_index as _, arg_index as u32)];
                match module.types[arg.ty].inner {
                    crate::TypeInner::Struct { ref members, .. } => {
                        let struct_name = &self.names[&NameKey::Type(arg.ty)];
                        write!(
                            self.out,
                            "{}const {} {} = {{ ",
                            back::INDENT,
                            struct_name,
                            arg_name
                        )?;
                        for (member_index, member) in members.iter().enumerate() {
                            let key = NameKey::StructMember(arg.ty, member_index as u32);
                            // If it's not in the varying struct, then we should
                            // have passed it as its own argument and assigned
                            // it a new name.
                            let name = match member.binding {
                                Some(crate::Binding::BuiltIn { .. }) => {
                                    &flattened_member_names[&key]
                                }
                                _ => &self.names[&key],
                            };
                            if member_index != 0 {
                                write!(self.out, ", ")?;
                            }
                            if let Some(crate::Binding::Location { .. }) = member.binding {
                                write!(self.out, "{}.", varyings_member_name)?;
                            }
                            write!(self.out, "{}", name)?;
                        }
                        writeln!(self.out, " }};")?;
                    }
                    _ => {
                        if let Some(crate::Binding::Location { .. }) = arg.binding {
                            writeln!(
                                self.out,
                                "{}const auto {} = {}.{};",
                                back::INDENT,
                                arg_name,
                                varyings_member_name,
                                arg_name
                            )?;
                        }
                    }
                }
            }

            // Finally, declare all the local variables that we need
            //TODO: we can postpone this till the relevant expressions are emitted
            for (local_handle, local) in fun.local_variables.iter() {
                let name = &self.names[&NameKey::EntryPointLocal(ep_index as _, local_handle)];
                let ty_name = TypeContext {
                    handle: local.ty,
                    module,
                    names: &self.names,
                    access: crate::StorageAccess::empty(),
                    binding: None,
                    first_time: false,
                };
                write!(self.out, "{}{} {}", back::INDENT, ty_name, name)?;
                match local.init {
                    Some(value) => {
                        let coco = ConstantContext {
                            handle: value,
                            arena: &module.constants,
                            names: &self.names,
                            first_time: false,
                        };
                        write!(self.out, " = {}", coco)?;
                    }
                    None => {
                        write!(self.out, " = {{}}")?;
                    }
                };
                writeln!(self.out, ";")?;
            }

            let guarded_indices =
                index::find_checked_indexes(module, fun, fun_info, options.bounds_check_policies);

            let context = StatementContext {
                expression: ExpressionContext {
                    function: fun,
                    origin: FunctionOrigin::EntryPoint(ep_index as _),
                    info: fun_info,
                    policies: options.bounds_check_policies,
                    guarded_indices,
                    module,
                    pipeline_options,
                },
                mod_info,
                result_struct: Some(&stage_out_name),
            };
            self.named_expressions.clear();
            self.update_expressions_to_bake(fun, fun_info, &context.expression);
            self.put_block(back::Level(1), &fun.body, &context)?;
            writeln!(self.out, "}}")?;
            if ep_index + 1 != module.entry_points.len() {
                writeln!(self.out)?;
            }
        }

        Ok(info)
    }
}

#[test]
fn test_stack_size() {
    use crate::valid::{Capabilities, ValidationFlags};
    // create a module with at least one expression nested
    let mut module = crate::Module::default();
    let constant = module.constants.append(
        crate::Constant {
            name: None,
            specialization: None,
            inner: crate::ConstantInner::Scalar {
                value: crate::ScalarValue::Float(1.0),
                width: 4,
            },
        },
        Default::default(),
    );
    let mut fun = crate::Function::default();
    let const_expr = fun
        .expressions
        .append(crate::Expression::Constant(constant), Default::default());
    let nested_expr = fun.expressions.append(
        crate::Expression::Unary {
            op: crate::UnaryOperator::Negate,
            expr: const_expr,
        },
        Default::default(),
    );
    fun.body.push(
        crate::Statement::Emit(fun.expressions.range_from(1)),
        Default::default(),
    );
    fun.body.push(
        crate::Statement::If {
            condition: nested_expr,
            accept: crate::Block::new(),
            reject: crate::Block::new(),
        },
        Default::default(),
    );
    let _ = module.functions.append(fun, Default::default());
    // analyse the module
    let info = crate::valid::Validator::new(ValidationFlags::empty(), Capabilities::empty())
        .validate(&module)
        .unwrap();
    // process the module
    let mut writer = Writer::new(String::new());
    writer
        .write(&module, &info, &Default::default(), &Default::default())
        .unwrap();

    {
        // check expression stack
        let mut addresses = usize::MAX..0usize;
        for pointer in writer.put_expression_stack_pointers {
            addresses.start = addresses.start.min(pointer as usize);
            addresses.end = addresses.end.max(pointer as usize);
        }
        let stack_size = addresses.end - addresses.start;
        // check the size (in debug only)
        // last observed macOS value: 20528 (CI)
        if !(11000..=25000).contains(&stack_size) {
            panic!("`put_expression` stack size {} has changed!", stack_size);
        }
    }

    {
        // check block stack
        let mut addresses = usize::MAX..0usize;
        for pointer in writer.put_block_stack_pointers {
            addresses.start = addresses.start.min(pointer as usize);
            addresses.end = addresses.end.max(pointer as usize);
        }
        let stack_size = addresses.end - addresses.start;
        // check the size (in debug only)
        // last observed macOS value: 19152 (CI)
        if !(9500..=20000).contains(&stack_size) {
            panic!("`put_block` stack size {} has changed!", stack_size);
        }
    }
}


================================================
FILE: lib/naga/src/back/spv/block.rs
================================================
/*!
Implementations for `BlockContext` methods.
*/

use super::{
    index::BoundsCheckResult, make_local, selection::Selection, Block, BlockContext, Dimension,
    Error, Instruction, LocalType, LookupType, LoopContext, ResultMember, Writer, WriterFlags,
};
use crate::{arena::Handle, proc::TypeResolution};
use spirv::Word;

fn get_dimension(type_inner: &crate::TypeInner) -> Dimension {
    match *type_inner {
        crate::TypeInner::Scalar { .. } => Dimension::Scalar,
        crate::TypeInner::Vector { .. } => Dimension::Vector,
        crate::TypeInner::Matrix { .. } => Dimension::Matrix,
        _ => unreachable!(),
    }
}

/// The results of emitting code for a left-hand-side expression.
///
/// On success, `write_expression_pointer` returns one of these.
enum ExpressionPointer {
    /// The pointer to the expression's value is available, as the value of the
    /// expression with the given id.
    Ready { pointer_id: Word },

    /// The access expression must be conditional on the value of `condition`, a boolean
    /// expression that is true if all indices are in bounds. If `condition` is true, then
    /// `access` is an `OpAccessChain` instruction that will compute a pointer to the
    /// expression's value. If `condition` is false, then executing `access` would be
    /// undefined behavior.
    Conditional {
        condition: Word,
        access: Instruction,
    },
}

/// The termination statement to be added to the end of the block
pub enum BlockExit {
    /// Generates an OpReturn (void return)
    Return,
    /// Generates an OpBranch to the specified block
    Branch {
        /// The branch target block
        target: Word,
    },
    /// Translates a loop `break if` into an `OpBranchConditional` to the
    /// merge block if true (the merge block is passed through [`LoopContext::break_id`]
    /// or else to the loop header (passed through [`preamble_id`])
    ///
    /// [`preamble_id`]: Self::BreakIf::preamble_id
    BreakIf {
        /// The condition of the `break if`
        condition: Handle<crate::Expression>,
        /// The loop header block id
        preamble_id: Word,
    },
}

impl Writer {
    // Flip Y coordinate to adjust for coordinate space difference
    // between SPIR-V and our IR.
    // The `position_id` argument is a pointer to a `vecN<f32>`,
    // whose `y` component we will negate.
    fn write_epilogue_position_y_flip(
        &mut self,
        position_id: Word,
        body: &mut Vec<Instruction>,
    ) -> Result<(), Error> {
        let float_ptr_type_id = self.get_type_id(LookupType::Local(LocalType::Value {
            vector_size: None,
            kind: crate::ScalarKind::Float,
            width: 4,
            pointer_space: Some(spirv::StorageClass::Output),
        }));
        let index_y_id = self.get_index_constant(1);
        let access_id = self.id_gen.next();
        body.push(Instruction::access_chain(
            float_ptr_type_id,
            access_id,
            position_id,
            &[index_y_id],
        ));

        let float_type_id = self.get_type_id(LookupType::Local(LocalType::Value {
            vector_size: None,
            kind: crate::ScalarKind::Float,
            width: 4,
            pointer_space: None,
        }));
        let load_id = self.id_gen.next();
        body.push(Instruction::load(float_type_id, load_id, access_id, None));

        let neg_id = self.id_gen.next();
        body.push(Instruction::unary(
            spirv::Op::FNegate,
            float_type_id,
            neg_id,
            load_id,
        ));

        body.push(Instruction::store(access_id, neg_id, None));
        Ok(())
    }

    // Clamp fragment depth between 0 and 1.
    fn write_epilogue_frag_depth_clamp(
        &mut self,
        frag_depth_id: Word,
        body: &mut Vec<Instruction>,
    ) -> Result<(), Error> {
        let float_type_id = self.get_type_id(LookupType::Local(LocalType::Value {
            vector_size: None,
            kind: crate::ScalarKind::Float,
            width: 4,
            pointer_space: None,
        }));
        let value0_id = self.get_constant_scalar(crate::ScalarValue::Float(0.0), 4);
        let value1_id = self.get_constant_scalar(crate::ScalarValue::Float(1.0), 4);

        let original_id = self.id_gen.next();
        body.push(Instruction::load(
            float_type_id,
            original_id,
            frag_depth_id,
            None,
        ));

        let clamp_id = self.id_gen.next();
        body.push(Instruction::ext_inst(
            self.gl450_ext_inst_id,
            spirv::GLOp::FClamp,
            float_type_id,
            clamp_id,
            &[original_id, value0_id, value1_id],
        ));

        body.push(Instruction::store(frag_depth_id, clamp_id, None));
        Ok(())
    }

    fn write_entry_point_return(
        &mut self,
        value_id: Word,
        ir_result: &crate::FunctionResult,
        result_members: &[ResultMember],
        body: &mut Vec<Instruction>,
    ) -> Result<(), Error> {
        for (index, res_member) in result_members.iter().enumerate() {
            let member_value_id = match ir_result.binding {
                Some(_) => value_id,
                None => {
                    let member_value_id = self.id_gen.next();
                    body.push(Instruction::composite_extract(
                        res_member.type_id,
                        member_value_id,
                        value_id,
                        &[index as u32],
                    ));
                    member_value_id
                }
            };

            body.push(Instruction::store(res_member.id, member_value_id, None));

            match res_member.built_in {
                Some(crate::BuiltIn::Position { .. })
                    if self.flags.contains(WriterFlags::ADJUST_COORDINATE_SPACE) =>
                {
                    self.write_epilogue_position_y_flip(res_member.id, body)?;
                }
                Some(crate::BuiltIn::FragDepth)
                    if self.flags.contains(WriterFlags::CLAMP_FRAG_DEPTH) =>
                {
                    self.write_epilogue_frag_depth_clamp(res_member.id, body)?;
                }
                _ => {}
            }
        }
        Ok(())
    }
}

impl<'w> BlockContext<'w> {
    /// Decide whether to put off emitting instructions for `expr_handle`.
    ///
    /// We would like to gather together chains of `Access` and `AccessIndex`
    /// Naga expressions into a single `OpAccessChain` SPIR-V instruction. To do
    /// this, we don't generate instructions for these exprs when we first
    /// encounter them. Their ids in `self.writer.cached.ids` are left as zero. Then,
    /// once we encounter a `Load` or `Store` expression that actually needs the
    /// chain's value, we call `write_expression_pointer` to handle the whole
    /// thing in one fell swoop.
    fn is_intermediate(&self, expr_handle: Handle<crate::Expression>) -> bool {
        match self.ir_function.expressions[expr_handle] {
            crate::Expression::GlobalVariable(handle) => {
                let ty = self.ir_module.global_variables[handle].ty;
                match self.ir_module.types[ty].inner {
                    crate::TypeInner::BindingArray { .. } => false,
                    _ => true,
                }
            }
            crate::Expression::LocalVariable(_) => true,
            crate::Expression::FunctionArgument(index) => {
                let arg = &self.ir_function.arguments[index as usize];
                self.ir_module.types[arg.ty].inner.pointer_space().is_some()
            }

            // The chain rule: if this `Access...`'s `base` operand was
            // previously omitted, then omit this one, too.
            _ => self.cached.ids[expr_handle.index()] == 0,
        }
    }

    /// Cache an expression for a value.
    pub(super) fn cache_expression_value(
        &mut self,
        expr_handle: Handle<crate::Expression>,
        block: &mut Block,
    ) -> Result<(), Error> {
        let result_type_id = self.get_expression_type_id(&self.fun_info[expr_handle].ty);

        let id = match self.ir_function.expressions[expr_handle] {
            crate::Expression::Access { base, index: _ } if self.is_intermediate(base) => {
                // See `is_intermediate`; we'll handle this later in
                // `write_expression_pointer`.
                0
            }
            crate::Expression::Access { base, index } => {
                let base_ty_inner = self.fun_info[base].ty.inner_with(&self.ir_module.types);
                match *base_ty_inner {
                    crate::TypeInner::Vector { .. } => {
                        self.write_vector_access(expr_handle, base, index, block)?
                    }
                    crate::TypeInner::BindingArray {
                        base: binding_type, ..
                    } => {
                        let binding_array_false_pointer = LookupType::Local(LocalType::Pointer {
                            base: binding_type,
                            class: spirv::StorageClass::UniformConstant,
                        });

                        let result_id = match self.write_expression_pointer(
                            expr_handle,
                            block,
                            Some(binding_array_false_pointer),
                        )? {
                            ExpressionPointer::Ready { pointer_id } => pointer_id,
                            ExpressionPointer::Conditional { .. } => {
                                return Err(Error::FeatureNotImplemented(
                                    "Texture array out-of-bounds handling",
                                ));
                            }
                        };

                        let binding_type_id = self.get_type_id(LookupType::Handle(binding_type));

                        let load_id = self.gen_id();
                        block.body.push(Instruction::load(
                            binding_type_id,
                            load_id,
                            result_id,
                            None,
                        ));

                        if self.fun_info[index].uniformity.non_uniform_result.is_some() {
                            self.writer.require_any(
                                "NonUniformEXT",
                                &[spirv::Capability::ShaderNonUniform],
                            )?;
                            self.writer.use_extension("SPV_EXT_descriptor_indexing");
                            self.writer
                                .decorate(load_id, spirv::Decoration::NonUniform, &[]);
                        }
                        load_id
                    }
                    ref other => {
                        log::error!(
                            "Unable to access base {:?} of type {:?}",
                            self.ir_function.expressions[base],
                            other
                        );
                        return Err(Error::Validation(
                            "only vectors may be dynamically indexed by value",
                        ));
                    }
                }
            }
            crate::Expression::AccessIndex { base, index: _ } if self.is_intermediate(base) => {
                // See `is_intermediate`; we'll handle this later in
                // `write_expression_pointer`.
                0
            }
            crate::Expression::AccessIndex { base, index } => {
                match *self.fun_info[base].ty.inner_with(&self.ir_module.types) {
                    crate::TypeInner::Vector { .. }
                    | crate::TypeInner::Matrix { .. }
                    | crate::TypeInner::Array { .. }
                    | crate::TypeInner::Struct { .. } => {
                        // We never need bounds checks here: dynamically sized arrays can
                        // only appear behind pointers, and are thus handled by the
                        // `is_intermediate` case above. Everything else's size is
                        // statically known and checked in validation.
                        let id = self.gen_id();
                        let base_id = self.cached[base];
                        block.body.push(Instruction::composite_extract(
                            result_type_id,
                            id,
                            base_id,
                            &[index],
                        ));
                        id
                    }
                    crate::TypeInner::BindingArray {
                        base: binding_type, ..
                    } => {
                        let binding_array_false_pointer = LookupType::Local(LocalType::Pointer {
                            base: binding_type,
                            class: spirv::StorageClass::UniformConstant,
                        });

                        let result_id = match self.write_expression_pointer(
                            expr_handle,
                            block,
                            Some(binding_array_false_pointer),
                        )? {
                            ExpressionPointer::Ready { pointer_id } => pointer_id,
                            ExpressionPointer::Conditional { .. } => {
                                return Err(Error::FeatureNotImplemented(
                                    "Texture array out-of-bounds handling",
                                ));
                            }
                        };

                        let binding_type_id = self.get_type_id(LookupType::Handle(binding_type));

                        let load_id = self.gen_id();
                        block.body.push(Instruction::load(
                            binding_type_id,
                            load_id,
                            result_id,
                            None,
                        ));

                        load_id
                    }
                    ref other => {
                        log::error!("Unable to access index of {:?}", other);
                        return Err(Error::FeatureNotImplemented("access index for type"));
                    }
                }
            }
            crate::Expression::GlobalVariable(handle) => {
                self.writer.global_variables[handle.index()].access_id
            }
            crate::Expression::Constant(handle) => self.writer.constant_ids[handle.index()],
            crate::Expression::Splat { size, value } => {
                let value_id = self.cached[value];
                let components = [value_id; 4];
                let id = self.gen_id();
                block.body.push(Instruction::composite_construct(
                    result_type_id,
                    id,
                    &components[..size as usize],
                ));
                id
            }
            crate::Expression::Swizzle {
                size,
                vector,
                pattern,
            } => {
                let vector_id = self.cached[vector];
                self.temp_list.clear();
                for &sc in pattern[..size as usize].iter() {
                    self.temp_list.push(sc as Word);
                }
                let id = self.gen_id();
                block.body.push(Instruction::vector_shuffle(
                    result_type_id,
                    id,
                    vector_id,
                    vector_id,
                    &self.temp_list,
                ));
                id
            }
            crate::Expression::Compose {
                ty: _,
                ref components,
            } => {
                self.temp_list.clear();
                for &component in components {
                    self.temp_list.push(self.cached[component]);
                }

                let id = self.gen_id();
                block.body.push(Instruction::composite_construct(
                    result_type_id,
                    id,
                    &self.temp_list,
                ));
                id
            }
            crate::Expression::Unary { op, expr } => {
                let id = self.gen_id();
                let expr_id = self.cached[expr];
                let expr_ty_inner = self.fun_info[expr].ty.inner_with(&self.ir_module.types);

                let spirv_op = match op {
                    crate::UnaryOperator::Negate => match expr_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Float) => spirv::Op::FNegate,
                        Some(crate::ScalarKind::Sint) => spirv::Op::SNegate,
                        Some(crate::ScalarKind::Bool) => spirv::Op::LogicalNot,
                        Some(crate::ScalarKind::Uint) | None => {
                            log::error!("Unable to negate {:?}", expr_ty_inner);
                            return Err(Error::FeatureNotImplemented("negation"));
                        }
                    },
                    crate::UnaryOperator::Not => match expr_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Bool) => spirv::Op::LogicalNot,
                        _ => spirv::Op::Not,
                    },
                };

                block
                    .body
                    .push(Instruction::unary(spirv_op, result_type_id, id, expr_id));
                id
            }
            crate::Expression::Binary { op, left, right } => {
                let id = self.gen_id();
                let left_id = self.cached[left];
                let right_id = self.cached[right];

                let left_ty_inner = self.fun_info[left].ty.inner_with(&self.ir_module.types);
                let right_ty_inner = self.fun_info[right].ty.inner_with(&self.ir_module.types);

                let left_dimension = get_dimension(left_ty_inner);
                let right_dimension = get_dimension(right_ty_inner);

                let mut reverse_operands = false;

                let spirv_op = match op {
                    crate::BinaryOperator::Add => match *left_ty_inner {
                        crate::TypeInner::Scalar { kind, .. }
                        | crate::TypeInner::Vector { kind, .. } => match kind {
                            crate::ScalarKind::Float => spirv::Op::FAdd,
                            _ => spirv::Op::IAdd,
                        },
                        crate::TypeInner::Matrix {
                            columns,
                            rows,
                            width,
                        } => {
                            self.write_matrix_matrix_column_op(
                                block,
                                id,
                                result_type_id,
                                left_id,
                                right_id,
                                columns,
                                rows,
                                width,
                                spirv::Op::FAdd,
                            );

                            self.cached[expr_handle] = id;
                            return Ok(());
                        }
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::Subtract => match *left_ty_inner {
                        crate::TypeInner::Scalar { kind, .. }
                        | crate::TypeInner::Vector { kind, .. } => match kind {
                            crate::ScalarKind::Float => spirv::Op::FSub,
                            _ => spirv::Op::ISub,
                        },
                        crate::TypeInner::Matrix {
                            columns,
                            rows,
                            width,
                        } => {
                            self.write_matrix_matrix_column_op(
                                block,
                                id,
                                result_type_id,
                                left_id,
                                right_id,
                                columns,
                                rows,
                                width,
                                spirv::Op::FSub,
                            );

                            self.cached[expr_handle] = id;
                            return Ok(());
                        }
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::Multiply => match (left_dimension, right_dimension) {
                        (Dimension::Scalar, Dimension::Vector) => {
                            self.write_vector_scalar_mult(
                                block,
                                id,
                                result_type_id,
                                right_id,
                                left_id,
                                right_ty_inner,
                            );

                            self.cached[expr_handle] = id;
                            return Ok(());
                        }
                        (Dimension::Vector, Dimension::Scalar) => {
                            self.write_vector_scalar_mult(
                                block,
                                id,
                                result_type_id,
                                left_id,
                                right_id,
                                left_ty_inner,
                            );

                            self.cached[expr_handle] = id;
                            return Ok(());
                        }
                        (Dimension::Vector, Dimension::Matrix) => spirv::Op::VectorTimesMatrix,
                        (Dimension::Matrix, Dimension::Scalar) => spirv::Op::MatrixTimesScalar,
                        (Dimension::Scalar, Dimension::Matrix) => {
                            reverse_operands = true;
                            spirv::Op::MatrixTimesScalar
                        }
                        (Dimension::Matrix, Dimension::Vector) => spirv::Op::MatrixTimesVector,
                        (Dimension::Matrix, Dimension::Matrix) => spirv::Op::MatrixTimesMatrix,
                        (Dimension::Vector, Dimension::Vector)
                        | (Dimension::Scalar, Dimension::Scalar)
                            if left_ty_inner.scalar_kind() == Some(crate::ScalarKind::Float) =>
                        {
                            spirv::Op::FMul
                        }
                        (Dimension::Vector, Dimension::Vector)
                        | (Dimension::Scalar, Dimension::Scalar) => spirv::Op::IMul,
                    },
                    crate::BinaryOperator::Divide => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Sint) => spirv::Op::SDiv,
                        Some(crate::ScalarKind::Uint) => spirv::Op::UDiv,
                        Some(crate::ScalarKind::Float) => spirv::Op::FDiv,
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::Modulo => match left_ty_inner.scalar_kind() {
                        // TODO: handle undefined behavior
                        // if right == 0 return 0
                        // if left == min(type_of(left)) && right == -1 return 0
                        Some(crate::ScalarKind::Sint) => spirv::Op::SRem,
                        // TODO: handle undefined behavior
                        // if right == 0 return 0
                        Some(crate::ScalarKind::Uint) => spirv::Op::UMod,
                        // TODO: handle undefined behavior
                        // if right == 0 return ? see https://github.com/gpuweb/gpuweb/issues/2798
                        Some(crate::ScalarKind::Float) => spirv::Op::FRem,
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::Equal => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Sint | crate::ScalarKind::Uint) => {
                            spirv::Op::IEqual
                        }
                        Some(crate::ScalarKind::Float) => spirv::Op::FOrdEqual,
                        Some(crate::ScalarKind::Bool) => spirv::Op::LogicalEqual,
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::NotEqual => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Sint | crate::ScalarKind::Uint) => {
                            spirv::Op::INotEqual
                        }
                        Some(crate::ScalarKind::Float) => spirv::Op::FOrdNotEqual,
                        Some(crate::ScalarKind::Bool) => spirv::Op::LogicalNotEqual,
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::Less => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Sint) => spirv::Op::SLessThan,
                        Some(crate::ScalarKind::Uint) => spirv::Op::ULessThan,
                        Some(crate::ScalarKind::Float) => spirv::Op::FOrdLessThan,
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::LessEqual => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Sint) => spirv::Op::SLessThanEqual,
                        Some(crate::ScalarKind::Uint) => spirv::Op::ULessThanEqual,
                        Some(crate::ScalarKind::Float) => spirv::Op::FOrdLessThanEqual,
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::Greater => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Sint) => spirv::Op::SGreaterThan,
                        Some(crate::ScalarKind::Uint) => spirv::Op::UGreaterThan,
                        Some(crate::ScalarKind::Float) => spirv::Op::FOrdGreaterThan,
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::GreaterEqual => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Sint) => spirv::Op::SGreaterThanEqual,
                        Some(crate::ScalarKind::Uint) => spirv::Op::UGreaterThanEqual,
                        Some(crate::ScalarKind::Float) => spirv::Op::FOrdGreaterThanEqual,
                        _ => unimplemented!(),
                    },
                    crate::BinaryOperator::And => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Bool) => spirv::Op::LogicalAnd,
                        _ => spirv::Op::BitwiseAnd,
                    },
                    crate::BinaryOperator::ExclusiveOr => spirv::Op::BitwiseXor,
                    crate::BinaryOperator::InclusiveOr => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Bool) => spirv::Op::LogicalOr,
                        _ => spirv::Op::BitwiseOr,
                    },
                    crate::BinaryOperator::LogicalAnd => spirv::Op::LogicalAnd,
                    crate::BinaryOperator::LogicalOr => spirv::Op::LogicalOr,
                    crate::BinaryOperator::ShiftLeft => spirv::Op::ShiftLeftLogical,
                    crate::BinaryOperator::ShiftRight => match left_ty_inner.scalar_kind() {
                        Some(crate::ScalarKind::Sint) => spirv::Op::ShiftRightArithmetic,
                        Some(crate::ScalarKind::Uint) => spirv::Op::ShiftRightLogical,
                        _ => unimplemented!(),
                    },
                };

                block.body.push(Instruction::binary(
                    spirv_op,
                    result_type_id,
                    id,
                    if reverse_operands { right_id } else { left_id },
                    if reverse_operands { left_id } else { right_id },
                ));
                id
            }
            crate::Expression::Math {
                fun,
                arg,
                arg1,
                arg2,
                arg3,
            } => {
                use crate::MathFunction as Mf;
                enum MathOp {
                    Ext(spirv::GLOp),
                    Custom(Instruction),
                }

                let arg0_id = self.cached[arg];
                let arg_ty = self.fun_info[arg].ty.inner_with(&self.ir_module.types);
                let arg_scalar_kind = arg_ty.scalar_kind();
                let arg1_id = match arg1 {
                    Some(handle) => self.cached[handle],
                    None => 0,
                };
                let arg2_id = match arg2 {
                    Some(handle) => self.cached[handle],
                    None => 0,
                };
                let arg3_id = match arg3 {
                    Some(handle) => self.cached[handle],
                    None => 0,
                };

                let id = self.gen_id();
                let math_op = match fun {
                    // comparison
                    Mf::Abs => {
                        match arg_scalar_kind {
                            Some(crate::ScalarKind::Float) => MathOp::Ext(spirv::GLOp::FAbs),
                            Some(crate::ScalarKind::Sint) => MathOp::Ext(spirv::GLOp::SAbs),
                            Some(crate::ScalarKind::Uint) => {
                                MathOp::Custom(Instruction::unary(
                                    spirv::Op::CopyObject, // do nothing
                                    result_type_id,
                                    id,
                                    arg0_id,
                                ))
                            }
                            other => unimplemented!("Unexpected abs({:?})", other),
                        }
                    }
                    Mf::Min => MathOp::Ext(match arg_scalar_kind {
                        Some(crate::ScalarKind::Float) => spirv::GLOp::FMin,
                        Some(crate::ScalarKind::Sint) => spirv::GLOp::SMin,
                        Some(crate::ScalarKind::Uint) => spirv::GLOp::UMin,
                        other => unimplemented!("Unexpected min({:?})", other),
                    }),
                    Mf::Max => MathOp::Ext(match arg_scalar_kind {
                        Some(crate::ScalarKind::Float) => spirv::GLOp::FMax,
                        Some(crate::ScalarKind::Sint) => spirv::GLOp::SMax,
                        Some(crate::ScalarKind::Uint) => spirv::GLOp::UMax,
                        other => unimplemented!("Unexpected max({:?})", other),
                    }),
                    Mf::Clamp => MathOp::Ext(match arg_scalar_kind {
                        Some(crate::ScalarKind::Float) => spirv::GLOp::FClamp,
                        Some(crate::ScalarKind::Sint) => spirv::GLOp::SClamp,
                        Some(crate::ScalarKind::Uint) => spirv::GLOp::UClamp,
                        other => unimplemented!("Unexpected max({:?})", other),
                    }),
                    Mf::Saturate => {
                        let (maybe_size, width) = match *arg_ty {
                            crate::TypeInner::Vector { size, width, .. } => (Some(size), width),
                            crate::TypeInner::Scalar { width, .. } => (None, width),
                            ref other => unimplemented!("Unexpected saturate({:?})", other),
                        };

                        let mut arg1_id = self
                            .writer
                            .get_constant_scalar(crate::ScalarValue::Float(0.0), width);
                        let mut arg2_id = self
                            .writer
                            .get_constant_scalar(crate::ScalarValue::Float(1.0), width);

                        if let Some(size) = maybe_size {
                            let value = LocalType::Value {
                                vector_size: Some(size),
                                kind: crate::ScalarKind::Float,
                                width,
                                pointer_space: None,
                            };

                            let result_type_id = self.get_type_id(LookupType::Local(value));

                            self.temp_list.clear();
                            self.temp_list.resize(size as _, arg1_id);

                            let id = self.gen_id();
                            block.body.push(Instruction::composite_construct(
                                result_type_id,
                                id,
                                &self.temp_list,
                            ));
                            arg1_id = id;

                            self.temp_list.clear();
                            self.temp_list.resize(size as _, arg2_id);

                            let id = self.gen_id();
                            block.body.push(Instruction::composite_construct(
                                result_type_id,
                                id,
                                &self.temp_list,
                            ));
                            arg2_id = id;
                        }

                        MathOp::Custom(Instruction::ext_inst(
                            self.writer.gl450_ext_inst_id,
                            spirv::GLOp::FClamp,
                            result_type_id,
                            id,
                            &[arg0_id, arg1_id, arg2_id],
                        ))
                    }
                    // trigonometry
                    Mf::Sin => MathOp::Ext(spirv::GLOp::Sin),
                    Mf::Sinh => MathOp::Ext(spirv::GLOp::Sinh),
                    Mf::Asin => MathOp::Ext(spirv::GLOp::Asin),
                    Mf::Cos => MathOp::Ext(spirv::GLOp::Cos),
                    Mf::Cosh => MathOp::Ext(spirv::GLOp::Cosh),
                    Mf::Acos => MathOp::Ext(spirv::GLOp::Acos),
                    Mf::Tan => MathOp::Ext(spirv::GLOp::Tan),
                    Mf::Tanh => MathOp::Ext(spirv::GLOp::Tanh),
                    Mf::Atan => MathOp::Ext(spirv::GLOp::Atan),
                    Mf::Atan2 => MathOp::Ext(spirv::GLOp::Atan2),
                    Mf::Asinh => MathOp::Ext(spirv::GLOp::Asinh),
                    Mf::Acosh => MathOp::Ext(spirv::GLOp::Acosh),
                    Mf::Atanh => MathOp::Ext(spirv::GLOp::Atanh),
                    Mf::Radians => MathOp::Ext(spirv::GLOp::Radians),
                    Mf::Degrees => MathOp::Ext(spirv::GLOp::Degrees),
                    // decomposition
                    Mf::Ceil => MathOp::Ext(spirv::GLOp::Ceil),
                    Mf::Round => MathOp::Ext(spirv::GLOp::RoundEven),
                    Mf::Floor => MathOp::Ext(spirv::GLOp::Floor),
                    Mf::Fract => MathOp::Ext(spirv::GLOp::Fract),
                    Mf::Trunc => MathOp::Ext(spirv::GLOp::Trunc),
                    Mf::Modf => MathOp::Ext(spirv::GLOp::Modf),
                    Mf::Frexp => MathOp::Ext(spirv::GLOp::Frexp),
                    Mf::Ldexp => MathOp::Ext(spirv::GLOp::Ldexp),
                    // geometry
                    Mf::Dot => match *self.fun_info[arg].ty.inner_with(&self.ir_module.types) {
                        crate::TypeInner::Vector {
                            kind: crate::ScalarKind::Float,
                            ..
                        } => MathOp::Custom(Instruction::binary(
                            spirv::Op::Dot,
                            result_type_id,
                            id,
                            arg0_id,
                            arg1_id,
                        )),
                        // TODO: consider using integer dot product if VK_KHR_shader_integer_dot_product is available
                        crate::TypeInner::Vector { size, .. } => {
                            self.write_dot_product(
                                id,
                                result_type_id,
                                arg0_id,
                                arg1_id,
                                size as u32,
                                block,
                            );
                            self.cached[expr_handle] = id;
                            return Ok(());
                        }
                        _ => unreachable!(
                            "Correct TypeInner for dot product should be already validated"
                        ),
                    },
                    Mf::Outer => MathOp::Custom(Instruction::binary(
                        spirv::Op::OuterProduct,
                        result_type_id,
                        id,
                        arg0_id,
                        arg1_id,
                    )),
                    Mf::Cross => MathOp::Ext(spirv::GLOp::Cross),
                    Mf::Distance => MathOp::Ext(spirv::GLOp::Distance),
                    Mf::Length => MathOp::Ext(spirv::GLOp::Length),
                    Mf::Normalize => MathOp::Ext(spirv::GLOp::Normalize),
                    Mf::FaceForward => MathOp::Ext(spirv::GLOp::FaceForward),
                    Mf::Reflect => MathOp::Ext(spirv::GLOp::Reflect),
                    Mf::Refract => MathOp::Ext(spirv::GLOp::Refract),
                    // exponent
                    Mf::Exp => MathOp::Ext(spirv::GLOp::Exp),
                    Mf::Exp2 => MathOp::Ext(spirv::GLOp::Exp2),
                    Mf::Log => MathOp::Ext(spirv::GLOp::Log),
                    Mf::Log2 => MathOp::Ext(spirv::GLOp::Log2),
                    Mf::Pow => MathOp::Ext(spirv::GLOp::Pow),
                    // computational
                    Mf::Sign => MathOp::Ext(match arg_scalar_kind {
                        Some(crate::ScalarKind::Float) => spirv::GLOp::FSign,
                        Some(crate::ScalarKind::Sint) => spirv::GLOp::SSign,
                        other => unimplemented!("Unexpected sign({:?})", other),
                    }),
                    Mf::Fma => MathOp::Ext(spirv::GLOp::Fma),
                    Mf::Mix => {
                        let selector = arg2.unwrap();
                        let selector_ty =
                            self.fun_info[selector].ty.inner_with(&self.ir_module.types);
                        match (arg_ty, selector_ty) {
                            // if the selector is a scalar, we need to splat it
                            (
                                &crate::TypeInner::Vector { size, .. },
                                &crate::TypeInner::Scalar { kind, width },
                            ) => {
                                let selector_type_id =
                                    self.get_type_id(LookupType::Local(LocalType::Value {
                                        vector_size: Some(size),
                                        kind,
                                        width,
                                        pointer_space: None,
                                    }));
                                self.temp_list.clear();
                                self.temp_list.resize(size as usize, arg2_id);

                                let selector_id = self.gen_id();
                                block.body.push(Instruction::composite_construct(
                                    selector_type_id,
                                    selector_id,
                                    &self.temp_list,
                                ));

                                MathOp::Custom(Instruction::ext_inst(
                                    self.writer.gl450_ext_inst_id,
                                    spirv::GLOp::FMix,
                                    result_type_id,
                                    id,
                                    &[arg0_id, arg1_id, selector_id],
                                ))
                            }
                            _ => MathOp::Ext(spirv::GLOp::FMix),
                        }
                    }
                    Mf::Step => MathOp::Ext(spirv::GLOp::Step),
                    Mf::SmoothStep => MathOp::Ext(spirv::GLOp::SmoothStep),
                    Mf::Sqrt => MathOp::Ext(spirv::GLOp::Sqrt),
                    Mf::InverseSqrt => MathOp::Ext(spirv::GLOp::InverseSqrt),
                    Mf::Inverse => MathOp::Ext(spirv::GLOp::MatrixInverse),
                    Mf::Transpose => MathOp::Custom(Instruction::unary(
                        spirv::Op::Transpose,
                        result_type_id,
                        id,
                        arg0_id,
                    )),
                    Mf::Determinant => MathOp::Ext(spirv::GLOp::Determinant),
                    Mf::ReverseBits => MathOp::Custom(Instruction::unary(
                        spirv::Op::BitReverse,
                        result_type_id,
                        id,
                        arg0_id,
                    )),
                    Mf::CountOneBits => MathOp::Custom(Instruction::unary(
                        spirv::Op::BitCount,
                        result_type_id,
                        id,
                        arg0_id,
                    )),
                    Mf::ExtractBits => {
                        let op = match arg_scalar_kind {
                            Some(crate::ScalarKind::Uint) => spirv::Op::BitFieldUExtract,
                            Some(crate::ScalarKind::Sint) => spirv::Op::BitFieldSExtract,
                            other => unimplemented!("Unexpected sign({:?})", other),
                        };
                        MathOp::Custom(Instruction::ternary(
                            op,
                            result_type_id,
                            id,
                            arg0_id,
                            arg1_id,
                            arg2_id,
                        ))
                    }
                    Mf::InsertBits => MathOp::Custom(Instruction::quaternary(
                        spirv::Op::BitFieldInsert,
                        result_type_id,
                        id,
                        arg0_id,
                        arg1_id,
                        arg2_id,
                        arg3_id,
                    )),
                    Mf::FindLsb => MathOp::Ext(spirv::GLOp::FindILsb),
                    Mf::FindMsb => MathOp::Ext(match arg_scalar_kind {
                        Some(crate::ScalarKind::Uint) => spirv::GLOp::FindUMsb,
                        Some(crate::ScalarKind::Sint) => spirv::GLOp::FindSMsb,
                        other => unimplemented!("Unexpected findMSB({:?})", other),
                    }),
                    Mf::Pack4x8unorm => MathOp::Ext(spirv::GLOp::PackUnorm4x8),
                    Mf::Pack4x8snorm => MathOp::Ext(spirv::GLOp::PackSnorm4x8),
                    Mf::Pack2x16float => MathOp::Ext(spirv::GLOp::PackHalf2x16),
                    Mf::Pack2x16unorm => MathOp::Ext(spirv::GLOp::PackUnorm2x16),
                    Mf::Pack2x16snorm => MathOp::Ext(spirv::GLOp::PackSnorm2x16),
                    Mf::Unpack4x8unorm => MathOp::Ext(spirv::GLOp::UnpackUnorm4x8),
                    Mf::Unpack4x8snorm => MathOp::Ext(spirv::GLOp::UnpackSnorm4x8),
                    Mf::Unpack2x16float => MathOp::Ext(spirv::GLOp::UnpackHalf2x16),
                    Mf::Unpack2x16unorm => MathOp::Ext(spirv::GLOp::UnpackUnorm2x16),
                    Mf::Unpack2x16snorm => MathOp::Ext(spirv::GLOp::UnpackSnorm2x16),
                };

                block.body.push(match math_op {
                    MathOp::Ext(op) => Instruction::ext_inst(
                        self.writer.gl450_ext_inst_id,
                        op,
                        result_type_id,
                        id,
                        &[arg0_id, arg1_id, arg2_id, arg3_id][..fun.argument_count()],
                    ),
                    MathOp::Custom(inst) => inst,
                });
                id
            }
            crate::Expression::LocalVariable(variable) => self.function.variables[&variable].id,
            crate::Expression::Load { pointer } => {
                match self.write_expression_pointer(pointer, block, None)? {
                    ExpressionPointer::Ready { pointer_id } => {
                        let id = self.gen_id();
                        let atomic_space =
                            match *self.fun_info[pointer].ty.inner_with(&self.ir_module.types) {
                                crate::TypeInner::Pointer { base, space } => {
                                    match self.ir_module.types[base].inner {
                                        crate::TypeInner::Atomic { .. } => Some(space),
                                        _ => None,
                                    }
                                }
                                _ => None,
                            };
                        let instruction = if let Some(space) = atomic_space {
                            let (semantics, scope) = space.to_spirv_semantics_and_scope();
                            let scope_constant_id = self.get_scope_constant(scope as u32);
                            let semantics_id = self.get_index_constant(semantics.bits());
                            Instruction::atomic_load(
                                result_type_id,
                                id,
                                pointer_id,
                                scope_constant_id,
                                semantics_id,
                            )
                        } else {
                            Instruction::load(result_type_id, id, pointer_id, None)
                        };
                        block.body.push(instruction);
                        id
                    }
                    ExpressionPointer::Conditional { condition, access } => {
                        //TODO: support atomics?
                        self.write_conditional_indexed_load(
                            result_type_id,
                            condition,
                            block,
                            move |id_gen, block| {
                                // The in-bounds path. Perform the access and the load.
                                let pointer_id = access.result_id.unwrap();
                                let value_id = id_gen.next();
                                block.body.push(access);
                                block.body.push(Instruction::load(
                                    result_type_id,
                                    value_id,
                                    pointer_id,
                                    None,
                                ));
                                value_id
                            },
                        )
                    }
                }
            }
            crate::Expression::FunctionArgument(index) => self.function.parameter_id(index),
            crate::Expression::CallResult(_) | crate::Expression::AtomicResult { .. } => {
                self.cached[expr_handle]
            }
            crate::Expression::As {
                expr,
                kind,
                convert,
            } => {
                use crate::ScalarKind as Sk;

                let expr_id = self.cached[expr];
                let (src_kind, src_size, src_width, is_matrix) =
                    match *self.fun_info[expr].ty.inner_with(&self.ir_module.types) {
                        crate::TypeInner::Scalar { kind, width } => (kind, None, width, false),
                        crate::TypeInner::Vector { kind, width, size } => {
                            (kind, Some(size), width, false)
                        }
                        crate::TypeInner::Matrix { width, .. } => (kind, None, width, true),
                        ref other => {
                            log::error!("As source {:?}", other);
                            return Err(Error::Validation("Unexpected Expression::As source"));
                        }
                    };

                enum Cast {
                    Identity,
                    Unary(spirv::Op),
                    Binary(spirv::Op, Word),
                    Ternary(spirv::Op, Word, Word),
                }

                let cast = if is_matrix {
                    // we only support identity casts for matrices
                    Cast::Unary(spirv::Op::CopyObject)
                } else {
                    match (src_kind, kind, convert) {
                        // Filter out identity casts. Some Adreno drivers are
                        // confused by no-op OpBitCast instructions.
                        (src_kind, kind, convert)
                            if src_kind == kind && convert.unwrap_or(src_width) == src_width =>
                        {
                            Cast::Identity
                        }
                        (Sk::Bool, Sk::Bool, _) => Cast::Unary(spirv::Op::CopyObject),
                        (_, _, None) => Cast::Unary(spirv::Op::Bitcast),
                        // casting to a bool - generate `OpXxxNotEqual`
                        (_, Sk::Bool, Some(_)) => {
                            let (op, value) = match src_kind {
                                Sk::Sint => (spirv::Op::INotEqual, crate::ScalarValue::Sint(0)),
                                Sk::Uint => (spirv::Op::INotEqual, crate::ScalarValue::Uint(0)),
                                Sk::Float => {
                                    (spirv::Op::FUnordNotEqual, crate::ScalarValue::Float(0.0))
                                }
                                Sk::Bool => unreachable!(),
                            };
                            let zero_scalar_id = self.writer.get_constant_scalar(value, src_width);
                            let zero_id = match src_size {
                                Some(size) => {
                                    let vector_type_id =
                                        self.get_type_id(LookupType::Local(LocalType::Value {
                                            vector_size: Some(size),
                                            kind: src_kind,
                                            width: src_width,
                                            pointer_space: None,
                                        }));
                                    let components = [zero_scalar_id; 4];

                                    let zero_id = self.gen_id();
                                    block.body.push(Instruction::composite_construct(
                                        vector_type_id,
                                        zero_id,
                                        &components[..size as usize],
                                    ));
                                    zero_id
                                }
                                None => zero_scalar_id,
                            };

                            Cast::Binary(op, zero_id)
                        }
                        // casting from a bool - generate `OpSelect`
                        (Sk::Bool, _, Some(dst_width)) => {
                            let (val0, val1) = match kind {
                                Sk::Sint => {
                                    (crate::ScalarValue::Sint(0), crate::ScalarValue::Sint(1))
                                }
                                Sk::Uint => {
                                    (crate::ScalarValue::Uint(0), crate::ScalarValue::Uint(1))
                                }
                                Sk::Float => (
                                    crate::ScalarValue::Float(0.0),
                                    crate::ScalarValue::Float(1.0),
                                ),
                                Sk::Bool => unreachable!(),
                            };
                            let scalar0_id = self.writer.get_constant_scalar(val0, dst_width);
                            let scalar1_id = self.writer.get_constant_scalar(val1, dst_width);
                            let (accept_id, reject_id) = match src_size {
                                Some(size) => {
                                    let vector_type_id =
                                        self.get_type_id(LookupType::Local(LocalType::Value {
                                            vector_size: Some(size),
                                            kind,
                                            width: dst_width,
                                            pointer_space: None,
                                        }));
                                    let components0 = [scalar0_id; 4];
                                    let components1 = [scalar1_id; 4];

                                    let vec0_id = self.gen_id();
                                    block.body.push(Instruction::composite_construct(
                                        vector_type_id,
                                        vec0_id,
                                        &components0[..size as usize],
                                    ));
                                    let vec1_id = self.gen_id();
                                    block.body.push(Instruction::composite_construct(
                                        vector_type_id,
                                        vec1_id,
                                        &components1[..size as usize],
                                    ));
                                    (vec1_id, vec0_id)
                                }
                                None => (scalar1_id, scalar0_id),
                            };

                            Cast::Ternary(spirv::Op::Select, accept_id, reject_id)
                        }
                        (Sk::Float, Sk::Uint, Some(_)) => Cast::Unary(spirv::Op::ConvertFToU),
                        (Sk::Float, Sk::Sint, Some(_)) => Cast::Unary(spirv::Op::ConvertFToS),
                        (Sk::Float, Sk::Float, Some(dst_width)) if src_width != dst_width => {
                            Cast::Unary(spirv::Op::FConvert)
                        }
                        (Sk::Sint, Sk::Float, Some(_)) => Cast::Unary(spirv::Op::ConvertSToF),
                        (Sk::Sint, Sk::Sint, Some(dst_width)) if src_width != dst_width => {
                            Cast::Unary(spirv::Op::SConvert)
                        }
                        (Sk::Uint, Sk::Float, Some(_)) => Cast::Unary(spirv::Op::ConvertUToF),
                        (Sk::Uint, Sk::Uint, Some(dst_width)) if src_width != dst_width => {
                            Cast::Unary(spirv::Op::UConvert)
                        }
                        // We assume it's either an identity cast, or int-uint.
                        _ => Cast::Unary(spirv::Op::Bitcast),
                    }
                };

                let id = self.gen_id();
                let instruction = match cast {
                    Cast::Identity => None,
                    Cast::Unary(op) => Some(Instruction::unary(op, result_type_id, id, expr_id)),
                    Cast::Binary(op, operand) => Some(Instruction::binary(
                        op,
                        result_type_id,
                        id,
                        expr_id,
                        operand,
                    )),
                    Cast::Ternary(op, op1, op2) => Some(Instruction::ternary(
                        op,
                        result_type_id,
                        id,
                        expr_id,
                        op1,
                        op2,
                    )),
                };
                if let Some(instruction) = instruction {
                    block.body.push(instruction);
                    id
                } else {
                    expr_id
                }
            }
            crate::Expression::ImageLoad {
                image,
                coordinate,
                array_index,
                sample,
                level,
            } => self.write_image_load(
                result_type_id,
                image,
                coordinate,
                array_index,
                level,
                sample,
                block,
            )?,
            crate::Expression::ImageSample {
                image,
                sampler,
                gather,
                coordinate,
                array_index,
                offset,
                level,
                depth_ref,
            } => self.write_image_sample(
                result_type_id,
                image,
                sampler,
                gather,
                coordinate,
                array_index,
                offset,
                level,
                depth_ref,
                block,
            )?,
            crate::Expression::Select {
                condition,
                accept,
                reject,
            } => {
                let id = self.gen_id();
                let mut condition_id = self.cached[condition];
                let accept_id = self.cached[accept];
                let reject_id = self.cached[reject];

                let condition_ty = self.fun_info[condition]
                    .ty
                    .inner_with(&self.ir_module.types);
                let object_ty = self.fun_info[accept].ty.inner_with(&self.ir_module.types);

                if let (
                    &crate::TypeInner::Scalar {
                        kind: crate::ScalarKind::Bool,
                        width,
                    },
                    &crate::TypeInner::Vector { size, .. },
                ) = (condition_ty, object_ty)
                {
                    self.temp_list.clear();
                    self.temp_list.resize(size as usize, condition_id);

                    let bool_vector_type_id =
                        self.get_type_id(LookupType::Local(LocalType::Value {
                            vector_size: Some(size),
                            kind: crate::ScalarKind::Bool,
                            width,
                            pointer_space: None,
                        }));

                    let id = self.gen_id();
                    block.body.push(Instruction::composite_construct(
                        bool_vector_type_id,
                        id,
                        &self.temp_list,
                    ));
                    condition_id = id
                }

                let instruction =
                    Instruction::select(result_type_id, id, condition_id, accept_id, reject_id);
                block.body.push(instruction);
                id
            }
            crate::Expression::Derivative { axis, expr } => {
                use crate::DerivativeAxis as Da;

                let id = self.gen_id();
                let expr_id = self.cached[expr];
                let op = match axis {
                    Da::X => spirv::Op::DPdx,
                    Da::Y => spirv::Op::DPdy,
                    Da::Width => spirv::Op::Fwidth,
                };
                block
                    .body
                    .push(Instruction::derivative(op, result_type_id, id, expr_id));
                id
            }
            crate::Expression::ImageQuery { image, query } => {
                self.write_image_query(result_type_id, image, query, block)?
            }
            crate::Expression::Relational { fun, argument } => {
                use crate::RelationalFunction as Rf;
                let arg_id = self.cached[argument];
                let op = match fun {
                    Rf::All => spirv::Op::All,
                    Rf::Any => spirv::Op::Any,
                    Rf::IsNan => spirv::Op::IsNan,
                    Rf::IsInf => spirv::Op::IsInf,
                    //TODO: these require Kernel capability
                    Rf::IsFinite | Rf::IsNormal => {
                        return Err(Error::FeatureNotImplemented("is finite/normal"))
                    }
                };
                let id = self.gen_id();
                block
                    .body
                    .push(Instruction::relational(op, result_type_id, id, arg_id));
                id
            }
            crate::Expression::ArrayLength(expr) => self.write_runtime_array_length(expr, block)?,
        };

        self.cached[expr_handle] = id;
        Ok(())
    }

    /// Build an `OpAccessChain` instruction.
    ///
    /// Emit any needed bounds-checking expressions to `block`.
    ///
    /// Some cases we need to generate a different return type than what the IR gives us.
    /// This is because pointers to binding arrays don't exist in the IR, but we need to
    /// create them to create an access chain in SPIRV.
    ///
    /// On success, the return value is an [`ExpressionPointer`] value; see the
    /// documentation for that type.
    fn write_expression_pointer(
        &mut self,
        mut expr_handle: Handle<crate::Expression>,
        block: &mut Block,
        return_type_override: Option<LookupType>,
    ) -> Result<ExpressionPointer, Error> {
        let result_lookup_ty = match self.fun_info[expr_handle].ty {
            TypeResolution::Handle(ty_handle) => match return_type_override {
                // We use the return type override as a special case for binding arrays as the OpAccessChain
                // needs to return a pointer, but indexing into a binding array just gives you the type of
                // the binding in the IR.
                Some(ty) => ty,
                None => LookupType::Handle(ty_handle),
            },
            TypeResolution::Value(ref inner) => LookupType::Local(make_local(inner).unwrap()),
        };
        let result_type_id = self.get_type_id(result_lookup_ty);

        // The id of the boolean `and` of all dynamic bounds checks up to this point. If
        // `None`, then we haven't done any dynamic bounds checks yet.
        //
        // When we have a chain of bounds checks, we combine them with `OpLogicalAnd`, not
        // a short-circuit branch. This means we might do comparisons we don't need to,
        // but we expect these checks to almost always succeed, and keeping branches to a
        // minimum is essential.
        let mut accumulated_checks = None;

        self.temp_list.clear();
        let root_id = loop {
            expr_handle = match self.ir_function.expressions[expr_handle] {
                crate::Expression::Access { base, index } => {
                    let index_id = match self.write_bounds_check(base, index, block)? {
                        BoundsCheckResult::KnownInBounds(known_index) => {
                            // Even if the index is known, `OpAccessIndex`
                            // requires expression operands, not literals.
                            let scalar = crate::ScalarValue::Uint(known_index as u64);
                            self.writer.get_constant_scalar(scalar, 4)
                        }
                        BoundsCheckResult::Computed(computed_index_id) => computed_index_id,
                        BoundsCheckResult::Conditional(comparison_id) => {
                            match accumulated_checks {
                                Some(prior_checks) => {
                                    let combined = self.gen_id();
                                    block.body.push(Instruction::binary(
                                        spirv::Op::LogicalAnd,
                                        self.writer.get_bool_type_id(),
                                        combined,
                                        prior_checks,
                                        comparison_id,
                                    ));
                                    accumulated_checks = Some(combined);
                                }
                                None => {
                                    // Start a fresh chain of checks.
                                    accumulated_checks = Some(comparison_id);
                                }
                            }

                            // Either way, the index to use is unchanged.
                            self.cached[index]
                        }
                    };
                    self.temp_list.push(index_id);

                    base
                }
                crate::Expression::AccessIndex { base, index } => {
                    let const_id = self.get_index_constant(index);
                    self.temp_list.push(const_id);
                    base
                }
                crate::Expression::GlobalVariable(handle) => {
                    let gv = &self.writer.global_variables[handle.index()];
                    break gv.access_id;
                }
                crate::Expression::LocalVariable(variable) => {
                    let local_var = &self.function.variables[&variable];
                    break local_var.id;
                }
                crate::Expression::FunctionArgument(index) => {
                    break self.function.parameter_id(index);
                }
                ref other => unimplemented!("Unexpected pointer expression {:?}", other),
            }
        };

        let pointer = if self.temp_list.is_empty() {
            ExpressionPointer::Ready {
                pointer_id: root_id,
            }
        } else {
            self.temp_list.reverse();
            let pointer_id = self.gen_id();
            let access =
                Instruction::access_chain(result_type_id, pointer_id, root_id, &self.temp_list);

            // If we generated some bounds checks, we need to leave it to our
            // caller to generate the branch, the access, the load or store, and
            // the zero value (for loads). Otherwise, we can emit the access
            // ourselves, and just hand them the id of the pointer.
            match accumulated_checks {
                Some(condition) => ExpressionPointer::Conditional { condition, access },
                None => {
                    block.body.push(access);
                    ExpressionPointer::Ready { pointer_id }
                }
            }
        };

        Ok(pointer)
    }

    /// Build the instructions for matrix - matrix column operations
    #[allow(clippy::too_many_arguments)]
    fn write_matrix_matrix_column_op(
        &mut self,
        block: &mut Block,
        result_id: Word,
        result_type_id: Word,
        left_id: Word,
        right_id: Word,
        columns: crate::VectorSize,
        rows: crate::VectorSize,
        width: u8,
        op: spirv::Op,
    ) {
        self.temp_list.clear();

        let vector_type_id = self.get_type_id(LookupType::Local(LocalType::Value {
            vector_size: Some(rows),
            kind: crate::ScalarKind::Float,
            width,
            pointer_space: None,
        }));

        for index in 0..columns as u32 {
            let column_id_left = self.gen_id();
            let column_id_right = self.gen_id();
            let column_id_res = self.gen_id();

            block.body.push(Instruction::composite_extract(
                vector_type_id,
                column_id_left,
                left_id,
                &[index],
            ));
            block.body.push(Instruction::composite_extract(
                vector_type_id,
                column_id_right,
                right_id,
                &[index],
            ));
            block.body.push(Instruction::binary(
                op,
                vector_type_id,
                column_id_res,
                column_id_left,
                column_id_right,
            ));

            self.temp_list.push(column_id_res);
        }

        block.body.push(Instruction::composite_construct(
            result_type_id,
            result_id,
            &self.temp_list,
        ));
    }

    /// Build the instructions for vector - scalar multiplication
    fn write_vector_scalar_mult(
        &mut self,
        block: &mut Block,
        result_id: Word,
        result_type_id: Word,
        vector_id: Word,
        scalar_id: Word,
        vector: &crate::TypeInner,
    ) {
        let (size, kind) = match *vector {
            crate::TypeInner::Vector { size, kind, .. } => (size, kind),
            _ => unreachable!(),
        };

        let (op, operand_id) = match kind {
            crate::ScalarKind::Float => (spirv::Op::VectorTimesScalar, scalar_id),
            _ => {
                let operand_id = self.gen_id();
                self.temp_list.clear();
                self.temp_list.resize(size as usize, scalar_id);
                block.body.push(Instruction::composite_construct(
                    result_type_id,
                    operand_id,
                    &self.temp_list,
                ));
                (spirv::Op::IMul, operand_id)
            }
        };

        block.body.push(Instruction::binary(
            op,
            result_type_id,
            result_id,
            vector_id,
            operand_id,
        ));
    }

    /// Build the instructions for the arithmetic expression of a dot product
    fn write_dot_product(
        &mut self,
        result_id: Word,
        result_type_id: Word,
        arg0_id: Word,
        arg1_id: Word,
        size: u32,
        block: &mut Block,
    ) {
        let const_null = self.gen_id();
        block
            .body
            .push(Instruction::constant_null(result_type_id, const_null));

        let mut partial_sum = const_null;
        let last_component = size - 1;
        for index in 0..=last_component {
            // compute the product of the current components
            let a_id = self.gen_id();
            block.body.push(Instruction::composite_extract(
                result_type_id,
                a_id,
                arg0_id,
                &[index],
            ));
            let b_id = self.gen_id();
            block.body.push(Instruction::composite_extract(
                result_type_id,
                b_id,
                arg1_id,
                &[index],
            ));
            let prod_id = self.gen_id();
            block.body.push(Instruction::binary(
                spirv::Op::IMul,
                result_type_id,
                prod_id,
                a_id,
                b_id,
            ));

            // choose the id for the next sum, depending on current index
            let id = if index == last_component {
                result_id
            } else {
                self.gen_id()
            };

            // sum the computed product with the partial sum
            block.body.push(Instruction::binary(
                spirv::Op::IAdd,
                result_type_id,
                id,
                partial_sum,
                prod_id,
            ));
            // set the id of the result as the previous partial sum
            partial_sum = id;
        }
    }

    pub(super) fn write_block(
        &mut self,
        label_id: Word,
        statements: &[crate::Statement],
        exit: BlockExit,
        loop_context: LoopContext,
    ) -> Result<(), Error> {
        let mut block = Block::new(label_id);

        for statement in statements {
            match *statement {
                crate::Statement::Emit(ref range) => {
                    for handle in range.clone() {
                        self.cache_expression_value(handle, &mut block)?;
                    }
                }
                crate::Statement::Block(ref block_statements) => {
                    let scope_id = self.gen_id();
                    self.function.consume(block, Instruction::branch(scope_id));

                    let merge_id = self.gen_id();
                    self.write_block(
                        scope_id,
                        block_statements,
                        BlockExit::Branch { target: merge_id },
                        loop_context,
                    )?;

                    block = Block::new(merge_id);
                }
                crate::Statement::If {
                    condition,
                    ref accept,
                    ref reject,
                } => {
                    let condition_id = self.cached[condition];

                    let merge_id = self.gen_id();
                    block.body.push(Instruction::selection_merge(
                        merge_id,
                        spirv::SelectionControl::NONE,
                    ));

                    let accept_id = if accept.is_empty() {
                        None
                    } else {
                        Some(self.gen_id())
                    };
                    let reject_id = if reject.is_empty() {
                        None
                    } else {
                        Some(self.gen_id())
                    };

                    self.function.consume(
                        block,
                        Instruction::branch_conditional(
                            condition_id,
                            accept_id.unwrap_or(merge_id),
                            reject_id.unwrap_or(merge_id),
                        ),
                    );

                    if let Some(block_id) = accept_id {
                        self.write_block(
                            block_id,
                            accept,
                            BlockExit::Branch { target: merge_id },
                            loop_context,
                        )?;
                    }
                    if let Some(block_id) = reject_id {
                        self.write_block(
                            block_id,
                            reject,
                            BlockExit::Branch { target: merge_id },
                            loop_context,
                        )?;
                    }

                    block = Block::new(merge_id);
                }
                crate::Statement::Switch {
                    selector,
                    ref cases,
                } => {
                    let selector_id = self.cached[selector];

                    let merge_id = self.gen_id();
                    block.body.push(Instruction::selection_merge(
                        merge_id,
                        spirv::SelectionControl::NONE,
                    ));

                    let default_id = self.gen_id();

                    let mut reached_default = false;
                    let mut raw_cases = Vec::with_capacity(cases.len());
                    let mut case_ids = Vec::with_capacity(cases.len());
                    for case in cases.iter() {
                        match case.value {
                            crate::SwitchValue::Integer(value) => {
                                let label_id = self.gen_id();
                                // No cases should be added after the default case is encountered
                                // since the default case catches all
                                if !reached_default {
                                    raw_cases.push(super::instructions::Case {
                                        value: value as Word,
                                        label_id,
                                    });
                                }
                                case_ids.push(label_id);
                            }
                            crate::SwitchValue::Default => {
                                case_ids.push(default_id);
                                reached_default = true;
                            }
                        }
                    }

                    self.function.consume(
                        block,
                        Instruction::switch(selector_id, default_id, &raw_cases),
                    );

                    let inner_context = LoopContext {
                        break_id: Some(merge_id),
                        ..loop_context
                    };

                    for (i, (case, label_id)) in cases.iter().zip(case_ids.iter()).enumerate() {
                        let case_finish_id = if case.fall_through {
                            case_ids[i + 1]
                        } else {
                            merge_id
                        };
                        self.write_block(
                            *label_id,
                            &case.body,
                            BlockExit::Branch {
                                target: case_finish_id,
                            },
                            inner_context,
                        )?;
                    }

                    // If no default was encountered write a empty block to satisfy the presence of
                    // a block the default label
                    if !reached_default {
                        self.write_block(
                            default_id,
                            &[],
                            BlockExit::Branch { target: merge_id },
                            inner_context,
                        )?;
                    }

                    block = Block::new(merge_id);
                }
                crate::Statement::Loop {
                    ref body,
                    ref continuing,
                    break_if,
                } => {
                    let preamble_id = self.gen_id();
                    self.function
                        .consume(block, Instruction::branch(preamble_id));

                    let merge_id = self.gen_id();
                    let body_id = self.gen_id();
                    let continuing_id = self.gen_id();

                    // SPIR-V requires the continuing to the `OpLoopMerge`,
                    // so we have to start a new block with it.
                    block = Block::new(preamble_id);
                    block.body.push(Instruction::loop_merge(
                        merge_id,
                        continuing_id,
                        spirv::SelectionControl::NONE,
                    ));
                    self.function.consume(block, Instruction::branch(body_id));

                    self.write_block(
                        body_id,
                        body,
                        BlockExit::Branch {
                            target: continuing_id,
                        },
                        LoopContext {
                            continuing_id: Some(continuing_id),
                            break_id: Some(merge_id),
                        },
                    )?;

                    let exit = match break_if {
                        Some(condition) => BlockExit::BreakIf {
                            condition,
                            preamble_id,
                        },
                        None => BlockExit::Branch {
                            target: preamble_id,
                        },
                    };

                    self.write_block(
                        continuing_id,
                        continuing,
                        exit,
                        LoopContext {
                            continuing_id: None,
                            break_id: Some(merge_id),
                        },
                    )?;

                    block = Block::new(merge_id);
                }
                crate::Statement::Break => {
                    self.function
                        .consume(block, Instruction::branch(loop_context.break_id.unwrap()));
                    return Ok(());
                }
                crate::Statement::Continue => {
                    self.function.consume(
                        block,
                        Instruction::branch(loop_context.continuing_id.unwrap()),
                    );
                    return Ok(());
                }
                crate::Statement::Return { value: Some(value) } => {
                    let value_id = self.cached[value];
                    let instruction = match self.function.entry_point_context {
                        // If this is an entry point, and we need to return anything,
                        // let's instead store the output variables and return `void`.
                        Some(ref context) => {
                            self.writer.write_entry_point_return(
                                value_id,
                                self.ir_function.result.as_ref().unwrap(),
                                &context.results,
                                &mut block.body,
                            )?;
                            Instruction::return_void()
                        }
                        None => Instruction::return_value(value_id),
                    };
                    self.function.consume(block, instruction);
                    return Ok(());
                }
                crate::Statement::Return { value: None } => {
                    self.function.consume(block, Instruction::return_void());
                    return Ok(());
                }
                crate::Statement::Kill => {
                    self.function.consume(block, Instruction::kill());
                    return Ok(());
                }
                crate::Statement::Barrier(flags) => {
                    let memory_scope = if flags.contains(crate::Barrier::STORAGE) {
                        spirv::Scope::Device
                    } else {
                        spirv::Scope::Workgroup
                    };
                    let mut semantics = spirv::MemorySemantics::ACQUIRE_RELEASE;
                    semantics.set(
                        spirv::MemorySemantics::UNIFORM_MEMORY,
                        flags.contains(crate::Barrier::STORAGE),
                    );
                    semantics.set(
                        spirv::MemorySemantics::WORKGROUP_MEMORY,
                        flags.contains(crate::Barrier::WORK_GROUP),
                    );
                    let exec_scope_id = self.get_index_constant(spirv::Scope::Workgroup as u32);
                    let mem_scope_id = self.get_index_constant(memory_scope as u32);
                    let semantics_id = self.get_index_constant(semantics.bits());
                    block.body.push(Instruction::control_barrier(
                        exec_scope_id,
                        mem_scope_id,
                        semantics_id,
                    ));
                }
                crate::Statement::Store { pointer, value } => {
                    let value_id = self.cached[value];
                    match self.write_expression_pointer(pointer, &mut block, None)? {
                        ExpressionPointer::Ready { pointer_id } => {
                            let atomic_space = match *self.fun_info[pointer]
                                .ty
                                .inner_with(&self.ir_module.types)
                            {
                                crate::TypeInner::Pointer { base, space } => {
                                    match self.ir_module.types[base].inner {
                                        crate::TypeInner::Atomic { .. } => Some(space),
                                        _ => None,
                                    }
                                }
                                _ => None,
                            };
                            let instruction = if let Some(space) = atomic_space {
                                let (semantics, scope) = space.to_spirv_semantics_and_scope();
                                let scope_constant_id = self.get_scope_constant(scope as u32);
                                let semantics_id = self.get_index_constant(semantics.bits());
                                Instruction::atomic_store(
                                    pointer_id,
                                    scope_constant_id,
                                    semantics_id,
                                    value_id,
                                )
                            } else {
                                Instruction::store(pointer_id, value_id, None)
                            };
                            block.body.push(instruction);
                        }
                        ExpressionPointer::Conditional { condition, access } => {
                            let mut selection = Selection::start(&mut block, ());
                            selection.if_true(self, condition, ());

                            // The in-bounds path. Perform the access and the store.
                            let pointer_id = access.result_id.unwrap();
                            selection.block().body.push(access);
                            selection
                                .block()
                                .body
                                .push(Instruction::store(pointer_id, value_id, None));

                            // Finish the in-bounds block and start the merge block. This
                            // is the block we'll leave current on return.
                            selection.finish(self, ());
                        }
                    };
                }
                crate::Statement::ImageStore {
                    image,
                    coordinate,
                    array_index,
                    value,
                } => self.write_image_store(image, coordinate, array_index, value, &mut block)?,
                crate::Statement::Call {
                    function: local_function,
                    ref arguments,
                    result,
                } => {
                    let id = self.gen_id();
                    self.temp_list.clear();
                    for &argument in arguments {
                        self.temp_list.push(self.cached[argument]);
                    }

                    let type_id = match result {
                        Some(expr) => {
                            self.cached[expr] = id;
                            self.get_expression_type_id(&self.fun_info[expr].ty)
                        }
                        None => self.writer.void_type,
                    };

                    block.body.push(Instruction::function_call(
                        type_id,
                        id,
                        self.writer.lookup_function[&local_function],
                        &self.temp_list,
                    ));
                }
                crate::Statement::Atomic {
                    pointer,
                    ref fun,
                    value,
                    result,
                } => {
                    let id = self.gen_id();
                    let result_type_id = self.get_expression_type_id(&self.fun_info[result].ty);

                    self.cached[result] = id;

                    let pointer_id =
                        match self.write_expression_pointer(pointer, &mut block, None)? {
                            ExpressionPointer::Ready { pointer_id } => pointer_id,
                            ExpressionPointer::Conditional { .. } => {
                                return Err(Error::FeatureNotImplemented(
                                    "Atomics out-of-bounds handling",
                                ));
                            }
                        };

                    let space = self.fun_info[pointer]
                        .ty
                        .inner_with(&self.ir_module.types)
                        .pointer_space()
                        .unwrap();
                    let (semantics, scope) = space.to_spirv_semantics_and_scope();
                    let scope_constant_id = self.get_scope_constant(scope as u32);
                    let semantics_id = self.get_index_constant(semantics.bits());
                    let value_id = self.cached[value];
                    let value_inner = self.fun_info[value].ty.inner_with(&self.ir_module.types);

                    let instruction = match *fun {
                        crate::AtomicFunction::Add => Instruction::atomic_binary(
                            spirv::Op::AtomicIAdd,
                            result_type_id,
                            id,
                            pointer_id,
                            scope_constant_id,
                            semantics_id,
                            value_id,
                        ),
                        crate::AtomicFunction::Subtract => Instruction::atomic_binary(
                            spirv::Op::AtomicISub,
                            result_type_id,
                            id,
                            pointer_id,
                            scope_constant_id,
                            semantics_id,
                            value_id,
                        ),
                        crate::AtomicFunction::And => Instruction::atomic_binary(
                            spirv::Op::AtomicAnd,
                            result_type_id,
                            id,
                            pointer_id,
                            scope_constant_id,
                            semantics_id,
                            value_id,
                        ),
                        crate::AtomicFunction::InclusiveOr => Instruction::atomic_binary(
                            spirv::Op::AtomicOr,
                            result_type_id,
                            id,
                            pointer_id,
                            scope_constant_id,
                            semantics_id,
                            value_id,
                        ),
                        crate::AtomicFunction::ExclusiveOr => Instruction::atomic_binary(
                            spirv::Op::AtomicXor,
                            result_type_id,
                            id,
                            pointer_id,
                            scope_constant_id,
                            semantics_id,
                            value_id,
                        ),
                        crate::AtomicFunction::Min => {
                            let spirv_op = match *value_inner {
                                crate::TypeInner::Scalar {
                                    kind: crate::ScalarKind::Sint,
                                    width: _,
                                } => spirv::Op::AtomicSMin,
                                crate::TypeInner::Scalar {
                                    kind: crate::ScalarKind::Uint,
                                    width: _,
                                } => spirv::Op::AtomicUMin,
                                _ => unimplemented!(),
                            };
                            Instruction::atomic_binary(
                                spirv_op,
                                result_type_id,
                                id,
                                pointer_id,
                                scope_constant_id,
                                semantics_id,
                                value_id,
                            )
                        }
                        crate::AtomicFunction::Max => {
                            let spirv_op = match *value_inner {
                                crate::TypeInner::Scalar {
                                    kind: crate::ScalarKind::Sint,
                                    width: _,
                                } => spirv::Op::AtomicSMax,
                                crate::TypeInner::Scalar {
                                    kind: crate::ScalarKind::Uint,
                                    width: _,
                                } => spirv::Op::AtomicUMax,
                                _ => unimplemented!(),
                            };
                            Instruction::atomic_binary(
                                spirv_op,
                                result_type_id,
                                id,
                                pointer_id,
                                scope_constant_id,
                                semantics_id,
                                value_id,
                            )
                        }
                        crate::AtomicFunction::Exchange { compare: None } => {
                            Instruction::atomic_binary(
                                spirv::Op::AtomicExchange,
                                result_type_id,
                                id,
                                pointer_id,
                                scope_constant_id,
                                semantics_id,
                                value_id,
                            )
                        }
                        crate::AtomicFunction::Exchange { compare: Some(cmp) } => {
                            let comparator_id = self.cached[cmp];
                            Instruction::atomic_compare_exchange(
                                result_type_id, 
                                id,
                                pointer_id,
                                scope_constant_id, 
                                semantics_id, 
                                semantics_id, 
                                value_id,
                                comparator_id
                            )
                        }
                    };

                    block.body.push(instruction);
                }
            }
        }

        let termination = match exit {
            // We're generating code for the top-level Block of the function, so we
            // need to end it with some kind of return instruction.
            BlockExit::Return => match self.ir_function.result {
                Some(ref result) if self.function.entry_point_context.is_none() => {
                    let type_id = self.get_type_id(LookupType::Handle(result.ty));
                    let null_id = self.writer.write_constant_null(type_id);
                    Instruction::return_value(null_id)
                }
                _ => Instruction::return_void(),
            },
            BlockExit::Branch { target } => Instruction::branch(target),
            BlockExit::BreakIf {
                condition,
                preamble_id,
            } => {
                let condition_id = self.cached[condition];

                Instruction::branch_conditional(
                    condition_id,
                    loop_context.break_id.unwrap(),
                    preamble_id,
                )
            }
        };

        self.function.consume(block, termination);
        Ok(())
    }
}


================================================
FILE: lib/naga/src/back/spv/helpers.rs
================================================
use crate::{Handle, UniqueArena};
use spirv::Word;

pub(super) fn bytes_to_words(bytes: &[u8]) -> Vec<Word> {
    bytes
        .chunks(4)
        .map(|chars| chars.iter().rev().fold(0u32, |u, c| (u << 8) | *c as u32))
        .collect()
}

pub(super) fn string_to_words(input: &str) -> Vec<Word> {
    let bytes = input.as_bytes();
    let mut words = bytes_to_words(bytes);

    if bytes.len() % 4 == 0 {
        // nul-termination
        words.push(0x0u32);
    }

    words
}

pub(super) const fn map_storage_class(space: crate::AddressSpace) -> spirv::StorageClass {
    match space {
        crate::AddressSpace::Handle => spirv::StorageClass::UniformConstant,
        crate::AddressSpace::Function => spirv::StorageClass::Function,
        crate::AddressSpace::Private => spirv::StorageClass::Private,
        crate::AddressSpace::Storage { .. } => spirv::StorageClass::StorageBuffer,
        crate::AddressSpace::Uniform => spirv::StorageClass::Uniform,
        crate::AddressSpace::WorkGroup => spirv::StorageClass::Workgroup,
        crate::AddressSpace::PushConstant => spirv::StorageClass::PushConstant,
    }
}

pub(super) fn contains_builtin(
    binding: Option<&crate::Binding>,
    ty: Handle<crate::Type>,
    arena: &UniqueArena<crate::Type>,
    built_in: crate::BuiltIn,
) -> bool {
    if let Some(&crate::Binding::BuiltIn(bi)) = binding {
        bi == built_in
    } else if let crate::TypeInner::Struct { ref members, .. } = arena[ty].inner {
        members
            .iter()
            .any(|member| contains_builtin(member.binding.as_ref(), member.ty, arena, built_in))
    } else {
        false // unreachable
    }
}

impl crate::AddressSpace {
    pub(super) const fn to_spirv_semantics_and_scope(
        self,
    ) -> (spirv::MemorySemantics, spirv::Scope) {
        match self {
            Self::Storage { .. } => (spirv::MemorySemantics::UNIFORM_MEMORY, spirv::Scope::Device),
            Self::WorkGroup => (
                spirv::MemorySemantics::WORKGROUP_MEMORY,
                spirv::Scope::Workgroup,
            ),
            _ => (spirv::MemorySemantics::empty(), spirv::Scope::Invocation),
        }
    }
}

/// Return true if the global requires a type decorated with `Block`.
///
/// Vulkan spec v1.3 §15.6.2, "Descriptor Set Interface", says:
///
/// > Variables identified with the `Uniform` storage class are used to
/// > access transparent buffer backed resources. Such variables must
/// > be:
/// >
/// > -   typed as `OpTypeStruct`, or an array of this type,
/// >
/// > -   identified with a `Block` or `BufferBlock` decoration, and
/// >
/// > -   laid out explicitly using the `Offset`, `ArrayStride`, and
/// >     `MatrixStride` decorations as specified in §15.6.4, "Offset
/// >     and Stride Assignment."
// See `back::spv::GlobalVariable::access_id` for details.
pub fn global_needs_wrapper(ir_module: &crate::Module, var: &crate::GlobalVariable) -> bool {
    match var.space {
        crate::AddressSpace::Uniform
        | crate::AddressSpace::Storage { .. }
        | crate::AddressSpace::PushConstant => {}
        _ => return false,
    };
    match ir_module.types[var.ty].inner {
        crate::TypeInner::Struct {
            ref members,
            span: _,
        } => match members.last() {
            Some(member) => match ir_module.types[member.ty].inner {
                // Structs with dynamically sized arrays can't be copied and can't be wrapped.
                crate::TypeInner::Array {
                    size: crate::ArraySize::Dynamic,
                    ..
                } => false,
                _ => true,
            },
            None => false,
        },
        // if it's not a structure, let's wrap it to be able to put "Block"
        _ => true,
    }
}


================================================
FILE: lib/naga/src/back/spv/image.rs
================================================
/*!
Generating SPIR-V for image operations.
*/

use super::{
    selection::{MergeTuple, Selection},
    Block, BlockContext, Error, IdGenerator, Instruction, LocalType, LookupType,
};
use crate::arena::Handle;
use spirv::Word;

/// Information about a vector of coordinates.
///
/// The coordinate vectors expected by SPIR-V `OpImageRead` and `OpImageFetch`
/// supply the array index for arrayed images as an additional component at
/// the end, whereas Naga's `ImageLoad`, `ImageStore`, and `ImageSample` carry
/// the array index as a separate field.
///
/// In the process of generating code to compute the combined vector, we also
/// produce SPIR-V types and vector lengths that are useful elsewhere. This
/// struct gathers that information into one place, with standard names.
struct ImageCoordinates {
    /// The SPIR-V id of the combined coordinate/index vector value.
    ///
    /// Note: when indexing a non-arrayed 1D image, this will be a scalar.
    value_id: Word,

    /// The SPIR-V id of the type of `value`.
    type_id: Word,

    /// The number of components in `value`, if it is a vector, or `None` if it
    /// is a scalar.
    size: Option<crate::VectorSize>,
}

/// A trait for image access (load or store) code generators.
///
/// Types implementing this trait hold information about an `ImageStore` or
/// `ImageLoad` operation that is not affected by the bounds check policy. The
/// `generate` method emits code for the access, given the results of bounds
/// checking.
///
/// The [`image`] bounds checks policy affects access coordinates, level of
/// detail, and sample index, but never the image id, result type (if any), or
/// the specific SPIR-V instruction used. Types that implement this trait gather
/// together the latter category, so we don't have to plumb them through the
/// bounds-checking code.
///
/// [`image`]: crate::proc::BoundsCheckPolicies::index
trait Access {
    /// The Rust type that represents SPIR-V values and types for this access.
    ///
    /// For operations like loads, this is `Word`. For operations like stores,
    /// this is `()`.
    ///
    /// For `ReadZeroSkipWrite`, this will be the type of the selection
    /// construct that performs the bounds checks, so it must implement
    /// `MergeTuple`.
    type Output: MergeTuple + Copy + Clone;

    /// Write an image access to `block`.
    ///
    /// Access the texel at `coordinates_id`. The optional `level_id` indicates
    /// the level of detail, and `sample_id` is the index of the sample to
    /// access in a multisampled texel.
    ///
    /// Ths method assumes that `coordinates_id` has already had the image array
    /// index, if any, folded in, as done by `write_image_coordinates`.
    ///
    /// Return the value id produced by the instruction, if any.
    ///
    /// Use `id_gen` to generate SPIR-V ids as necessary.
    fn generate(
        &self,
        id_gen: &mut IdGenerator,
        coordinates_id: Word,
        level_id: Option<Word>,
        sample_id: Option<Word>,
        block: &mut Block,
    ) -> Self::Output;

    /// Return the SPIR-V type of the value produced by the code written by
    /// `generate`. If the access does not produce a value, `Self::Output`
    /// should be `()`.
    fn result_type(&self) -> Self::Output;

    /// Construct the SPIR-V 'zero' value to be returned for an out-of-bounds
    /// access under the `ReadZeroSkipWrite` policy. If the access does not
    /// produce a value, `Self::Output` should be `()`.
    fn out_of_bounds_value(&self, ctx: &mut BlockContext<'_>) -> Self::Output;
}

/// Texel access information for an [`ImageLoad`] expression.
///
/// [`ImageLoad`]: crate::Expression::ImageLoad
struct Load {
    /// The specific opcode we'll use to perform the fetch. Storage images
    /// require `OpImageRead`, while sampled images require `OpImageFetch`.
    opcode: spirv::Op,

    /// The type id produced by the actual image access instruction.
    type_id: Word,

    /// The id of the image being accessed.
    image_id: Word,
}

impl Load {
    fn from_image_expr(
        ctx: &mut BlockContext<'_>,
        image_id: Word,
        image_class: crate::ImageClass,
        result_type_id: Word,
    ) -> Result<Load, Error> {
        let opcode = match image_class {
            crate::ImageClass::Storage { .. } => spirv::Op::ImageRead,
            crate::ImageClass::Depth { .. } | crate::ImageClass::Sampled { .. } => {
                spirv::Op::ImageFetch
            }
        };

        // `OpImageRead` and `OpImageFetch` instructions produce vec4<f32>
        // values. Most of the time, we can just use `result_type_id` for
        // this. The exception is that `Expression::ImageLoad` from a depth
        // image produces a scalar `f32`, so in that case we need to find
        // the right SPIR-V type for the access instruction here.
        let type_id = match image_class {
            crate::ImageClass::Depth { .. } => {
                ctx.get_type_id(LookupType::Local(LocalType::Value {
                    vector_size: Some(crate::VectorSize::Quad),
                    kind: crate::ScalarKind::Float,
                    width: 4,
                    pointer_space: None,
                }))
            }
            _ => result_type_id,
        };

        Ok(Load {
            opcode,
            type_id,
            image_id,
        })
    }
}

impl Access for Load {
    type Output = Word;

    /// Write an instruction to access a given texel of this image.
    fn generate(
        &self,
        id_gen: &mut IdGenerator,
        coordinates_id: Word,
        level_id: Option<Word>,
        sample_id: Option<Word>,
        block: &mut Block,
    ) -> Word {
        let texel_id = id_gen.next();
        let mut instruction = Instruction::image_fetch_or_read(
            self.opcode,
            self.type_id,
            texel_id,
            self.image_id,
            coordinates_id,
        );

        match (level_id, sample_id) {
            (None, None) => {}
            (Some(level_id), None) => {
                instruction.add_operand(spirv::ImageOperands::LOD.bits());
                instruction.add_operand(level_id);
            }
            (None, Some(sample_id)) => {
                instruction.add_operand(spirv::ImageOperands::SAMPLE.bits());
                instruction.add_operand(sample_id);
            }
            // There's no such thing as a multi-sampled mipmap.
            (Some(_), Some(_)) => unreachable!(),
        }

        block.body.push(instruction);

        texel_id
    }

    fn result_type(&self) -> Word {
        self.type_id
    }

    fn out_of_bounds_value(&self, ctx: &mut BlockContext<'_>) -> Word {
        ctx.writer.write_constant_null(self.type_id)
    }
}

/// Texel access information for a [`Store`] statement.
///
/// [`Store`]: crate::Statement::Store
struct Store {
    /// The id of the image being written to.
    image_id: Word,

    /// The value we're going to write to the texel.
    value_id: Word,
}

impl Access for Store {
    /// Stores don't generate any value.
    type Output = ();

    fn generate(
        &self,
        _id_gen: &mut IdGenerator,
        coordinates_id: Word,
        _level_id: Option<Word>,
        _sample_id: Option<Word>,
        block: &mut Block,
    ) {
        block.body.push(Instruction::image_write(
            self.image_id,
            coordinates_id,
            self.value_id,
        ));
    }

    /// Stores don't generate any value, so this just returns `()`.
    fn result_type(&self) {}

    /// Stores don't generate any value, so this just returns `()`.
    fn out_of_bounds_value(&self, _ctx: &mut BlockContext<'_>) {}
}

impl<'w> BlockContext<'w> {
    /// Extend image coordinates with an array index, if necessary.
    ///
    /// Whereas [`Expression::ImageLoad`] and [`ImageSample`] treat the array
    /// index as a separate operand from the coordinates, SPIR-V image access
    /// instructions include the array index in the `coordinates` operand. This
    /// function builds a SPIR-V coordinate vector from a Naga coordinate vector
    /// and array index, if one is supplied, and returns a `ImageCoordinates`
    /// struct describing what it built.
    ///
    /// If `array_index` is `Some(expr)`, then this function constructs a new
    /// vector that is `coordinates` with `array_index` concatenated onto the
    /// end: a `vec2` becomes a `vec3`, a scalar becomes a `vec2`, and so on.
    ///
    /// If `array_index` is `None`, then the return value uses `coordinates`
    /// unchanged. Note that, when indexing a non-arrayed 1D image, this will be
    /// a scalar value.
    ///
    /// If needed, this function generates code to convert the array index,
    /// always an integer scalar, to match the component type of `coordinates`.
    /// Naga's `ImageLoad` and SPIR-V's `OpImageRead`, `OpImageFetch`, and
    /// `OpImageWrite` all use integer coordinates, while Naga's `ImageSample`
    /// and SPIR-V's `OpImageSample...` instructions all take floating-point
    /// coordinate vectors.
    ///
    /// [`Expression::ImageLoad`]: crate::Expression::ImageLoad
    /// [`ImageSample`]: crate::Expression::ImageSample
    fn write_image_coordinates(
        &mut self,
        coordinates: Handle<crate::Expression>,
        array_index: Option<Handle<crate::Expression>>,
        block: &mut Block,
    ) -> Result<ImageCoordinates, Error> {
        use crate::TypeInner as Ti;
        use crate::VectorSize as Vs;

        let coordinates_id = self.cached[coordinates];
        let ty = &self.fun_info[coordinates].ty;
        let inner_ty = ty.inner_with(&self.ir_module.types);

        // If there's no array index, the image coordinates are exactly the
        // `coordinate` field of the `Expression::ImageLoad`. No work is needed.
        let array_index = match array_index {
            None => {
                let value_id = coordinates_id;
                let type_id = self.get_expression_type_id(ty);
                let size = match *inner_ty {
                    Ti::Scalar { .. } => None,
                    Ti::Vector { size, .. } => Some(size),
                    _ => return Err(Error::Validation("coordinate type")),
                };
                return Ok(ImageCoordinates {
                    value_id,
                    type_id,
                    size,
                });
            }
            Some(ix) => ix,
        };

        // Find the component type of `coordinates`, and figure out the size the
        // combined coordinate vector will have.
        let (component_kind, size) = match *inner_ty {
            Ti::Scalar { kind, width: 4 } => (kind, Some(Vs::Bi)),
            Ti::Vector {
                kind,
                width: 4,
                size: Vs::Bi,
            } => (kind, Some(Vs::Tri)),
            Ti::Vector {
                kind,
                width: 4,
                size: Vs::Tri,
            } => (kind, Some(Vs::Quad)),
            Ti::Vector { size: Vs::Quad, .. } => {
                return Err(Error::Validation("extending vec4 coordinate"));
            }
            ref other => {
                log::error!("wrong coordinate type {:?}", other);
                return Err(Error::Validation("coordinate type"));
            }
        };

        // Convert the index to the coordinate component type, if necessary.
        let array_index_i32_id = self.cached[array_index];
        let reconciled_array_index_id = if component_kind == crate::ScalarKind::Sint {
            array_index_i32_id
        } else {
            let component_type_id = self.get_type_id(LookupType::Local(LocalType::Value {
                vector_size: None,
                kind: component_kind,
                width: 4,
                pointer_space: None,
            }));

            let reconciled_id = self.gen_id();
            block.body.push(Instruction::unary(
                spirv::Op::ConvertUToF,
                component_type_id,
                reconciled_id,
                array_index_i32_id,
            ));
            reconciled_id
        };

        // Find the SPIR-V type for the combined coordinates/index vector.
        let type_id = self.get_type_id(LookupType::Local(LocalType::Value {
            vector_size: size,
            kind: component_kind,
            width: 4,
            pointer_space: None,
        }));

        // Schmear the coordinates and index together.
        let value_id = self.gen_id();
        block.body.push(Instruction::composite_construct(
            type_id,
            value_id,
            &[coordinates_id, reconciled_array_index_id],
        ));
        Ok(ImageCoordinates {
            value_id,
            type_id,
            size,
        })
    }

    fn get_image_id(&mut self, expr_handle: Handle<crate::Expression>) -> Word {
        let id = match self.ir_function.expressions[expr_handle] {
            crate::Expression::GlobalVariable(handle) => {
                self.writer.global_variables[handle.index()].handle_id
            }
            crate::Expression::FunctionArgument(i) => {
                self.function.parameters[i as usize].handle_id
            }
            crate::Expression::Access { .. } | crate::Expression::AccessIndex { .. } => {
                self.cached[expr_handle]
            }
            ref other => unreachable!("Unexpected image expression {:?}", other),
        };

        if id == 0 {
            unreachable!(
                "Image expression {:?} doesn't have a handle ID",
                expr_handle
            );
        }

        id
    }

    /// Generate a vector or scalar 'one' for arithmetic on `coordinates`.
    ///
    /// If `coordinates` is a scalar, return a scalar one. Otherwise, return
    /// a vector of ones.
    fn write_coordinate_one(&mut self, coordinates: &ImageCoordinates) -> Result<Word, Error> {
        let one = self.get_scope_constant(1);
        match coordinates.size {
            None => Ok(one),
            Some(vector_size) => {
                let ones = [one; 4];
                let id = self.gen_id();
                Instruction::constant_composite(
                    coordinates.type_id,
                    id,
                    &ones[..vector_size as usize],
                )
                .to_words(&mut self.writer.logical_layout.declarations);
                Ok(id)
            }
        }
    }

    /// Generate code to restrict `input` to fall between zero and one less than
    /// `size_id`.
    ///
    /// Both must be 32-bit scalar integer values, whose type is given by
    /// `type_id`. The computed value is also of type `type_id`.
    fn restrict_scalar(
        &mut self,
        type_id: Word,
        input_id: Word,
        size_id: Word,
        block: &mut Block,
    ) -> Result<Word, Error> {
        let i32_one_id = self.get_scope_constant(1);

        // Subtract one from `size` to get the largest valid value.
        let limit_id = self.gen_id();
        block.body.push(Instruction::binary(
            spirv::Op::ISub,
            type_id,
            limit_id,
            size_id,
            i32_one_id,
        ));

        // Use an unsigned minimum, to handle both positive out-of-range values
        // and negative values in a single instruction: negative values of
        // `input_id` get treated as very large positive values.
        let restricted_id = self.gen_id();
        block.body.push(Instruction::ext_inst(
            self.writer.gl450_ext_inst_id,
            spirv::GLOp::UMin,
            type_id,
            restricted_id,
            &[input_id, limit_id],
        ));

        Ok(restricted_id)
    }

    /// Write instructions to query the size of an image.
    ///
    /// This takes care of selecting the right instruction depending on whether
    /// a level of detail parameter is present.
    fn write_coordinate_bounds(
        &mut self,
        type_id: Word,
        image_id: Word,
        level_id: Option<Word>,
        block: &mut Block,
    ) -> Word {
        let coordinate_bounds_id = self.gen_id();
        match level_id {
            Some(level_id) => {
                // A level of detail was provided, so fetch the image size for
                // that level.
                let mut inst = Instruction::image_query(
                    spirv::Op::ImageQuerySizeLod,
                    type_id,
                    coordinate_bounds_id,
                    image_id,
                );
                inst.add_operand(level_id);
                block.body.push(inst);
            }
            _ => {
                // No level of detail was given.
                block.body.push(Instruction::image_query(
                    spirv::Op::ImageQuerySize,
                    type_id,
                    coordinate_bounds_id,
                    image_id,
                ));
            }
        }

        coordinate_bounds_id
    }

    /// Write code to restrict coordinates for an image reference.
    ///
    /// First, clamp the level of detail or sample index to fall within bounds.
    /// Then, obtain the image size, possibly using the clamped level of detail.
    /// Finally, use an unsigned minimum instruction to force all coordinates
    /// into range.
    ///
    /// Return a triple `(COORDS, LEVEL, SAMPLE)`, where `COORDS` is a coordinate
    /// vector (including the array index, if any), `LEVEL` is an optional level
    /// of detail, and `SAMPLE` is an optional sample index, all guaranteed to
    /// be in-bounds for `image_id`.
    ///
    /// The result is usually a vector, but it is a scalar when indexing
    /// non-arrayed 1D images.
    fn write_restricted_coordinates(
        &mut self,
        image_id: Word,
        coordinates: ImageCoordinates,
        level_id: Option<Word>,
        sample_id: Option<Word>,
        block: &mut Block,
    ) -> Result<(Word, Option<Word>, Option<Word>), Error> {
        self.writer.require_any(
            "the `Restrict` image bounds check policy",
            &[spirv::Capability::ImageQuery],
        )?;

        let i32_type_id = self.get_type_id(LookupType::Local(LocalType::Value {
            vector_size: None,
            kind: crate::ScalarKind::Sint,
            width: 4,
            pointer_space: None,
        }));

        // If `level` is `Some`, clamp it to fall within bounds. This must
        // happen first, because we'll use it to query the image size for
        // clamping the actual coordinates.
        let level_id = level_id
            .map(|level_id| {
                // Find the number of mipmap levels in this image.
                let num_levels_id = self.gen_id();
                block.body.push(Instruction::image_query(
                    spirv::Op::ImageQueryLevels,
                    i32_type_id,
                    num_levels_id,
                    image_id,
                ));

                self.restrict_scalar(i32_type_id, level_id, num_levels_id, block)
            })
            .transpose()?;

        // If `sample_id` is `Some`, clamp it to fall within bounds.
        let sample_id = sample_id
            .map(|sample_id| {
                // Find the number of samples per texel.
                let num_samples_id = self.gen_id();
                block.body.push(Instruction::image_query(
                    spirv::Op::ImageQuerySamples,
                    i32_type_id,
                    num_samples_id,
                    image_id,
                ));

                self.restrict_scalar(i32_type_id, sample_id, num_samples_id, block)
            })
            .transpose()?;

        // Obtain the image bounds, including the array element count.
        let coordinate_bounds_id =
            self.write_coordinate_bounds(coordinates.type_id, image_id, level_id, block);

        // Compute maximum valid values from the bounds.
        let ones = self.write_coordinate_one(&coordinates)?;
        let coordinate_limit_id = self.gen_id();
        block.body.push(Instruction::binary(
            spirv::Op::ISub,
            coordinates.type_id,
            coordinate_limit_id,
            coordinate_bounds_id,
            ones,
        ));

        // Restrict the coordinates to fall within those bounds.
        //
        // Use an unsigned minimum, to handle both positive out-of-range values
        // and negative values in a single instruction: negative values of
        // `coordinates` get treated as very large positive values.
        let restricted_coordinates_id = self.gen_id();
        block.body.push(Instruction::ext_inst(
            self.writer.gl450_ext_inst_id,
            spirv::GLOp::UMin,
            coordinates.type_id,
            restricted_coordinates_id,
            &[coordinates.value_id, coordinate_limit_id],
        ));

        Ok((restricted_coordinates_id, level_id, sample_id))
    }

    fn write_conditional_image_access<A: Access>(
        &mut self,
        image_id: Word,
        coordinates: ImageCoordinates,
        level_id: Option<Word>,
        sample_id: Option<Word>,
        block: &mut Block,
        access: &A,
    ) -> Result<A::Output, Error> {
        self.writer.require_any(
            "the `ReadZeroSkipWrite` image bounds check policy",
            &[spirv::Capability::ImageQuery],
        )?;

        let bool_type_id = self.writer.get_bool_type_id();
        let i32_type_id = self.get_type_id(LookupType::Local(LocalType::Value {
            vector_size: None,
            kind: crate::ScalarKind::Sint,
            width: 4,
            pointer_space: None,
        }));

        let null_id = access.out_of_bounds_value(self);

        let mut selection = Selection::start(block, access.result_type());

        // If `level_id` is `Some`, check whether it is within bounds. This must
        // happen first, because we'll be supplying this as an argument when we
        // query the image size.
        if let Some(level_id) = level_id {
            // Find the number of mipmap levels in this image.
            let num_levels_id = self.gen_id();
            selection.block().body.push(Instruction::image_query(
                spirv::Op::ImageQueryLevels,
                i32_type_id,
                num_levels_id,
                image_id,
            ));

            let lod_cond_id = self.gen_id();
            selection.block().body.push(Instruction::binary(
                spirv::Op::ULessThan,
                bool_type_id,
                lod_cond_id,
                level_id,
                num_levels_id,
            ));

            selection.if_true(self, lod_cond_id, null_id);
        }

        // If `sample_id` is `Some`, check whether it is in bounds.
        if let Some(sample_id) = sample_id {
            // Find the number of samples per texel.
            let num_samples_id = self.gen_id();
            selection.block().body.push(Instruction::image_query(
                spirv::Op::ImageQuerySamples,
                i32_type_id,
                num_samples_id,
                image_id,
            ));

            let samples_cond_id = self.gen_id();
            selection.block().body.push(Instruction::binary(
                spirv::Op::ULessThan,
                bool_type_id,
                samples_cond_id,
                sample_id,
                num_samples_id,
            ));

            selection.if_true(self, samples_cond_id, null_id);
        }

        // Obtain the image bounds, including any array element count.
        let coordinate_bounds_id = self.write_coordinate_bounds(
            coordinates.type_id,
            image_id,
            level_id,
            selection.block(),
        );

        // Compare the coordinates against the bounds.
        let coords_bool_type_id = self.get_type_id(LookupType::Local(LocalType::Value {
            vector_size: coordinates.size,
            kind: crate::ScalarKind::Bool,
            width: 1,
            pointer_space: None,
        }));
        let coords_conds_id = self.gen_id();
        selection.block().body.push(Instruction::binary(
            spirv::Op::ULessThan,
            coords_bool_type_id,
            coords_conds_id,
            coordinates.value_id,
            coordinate_bounds_id,
        ));

        // If the comparison above was a vector comparison, then we need to
        // check that all components of the comparison are true.
        let coords_cond_id = if coords_bool_type_id != bool_type_id {
            let id = self.gen_id();
            selection.block().body.push(Instruction::relational(
                spirv::Op::All,
                bool_type_id,
                id,
                coords_conds_id,
            ));
            id
        } else {
            coords_conds_id
        };

        selection.if_true(self, coords_cond_id, null_id);

        // All conditions are met. We can carry out the access.
        let texel_id = access.generate(
            &mut self.writer.id_gen,
            coordinates.value_id,
            level_id,
            sample_id,
            selection.block(),
        );

        // This, then, is the value of the 'true' branch.
        Ok(selection.finish(self, texel_id))
    }

    /// Generate code for an `ImageLoad` expression.
    ///
    /// The arguments are the components of an `Expression::ImageLoad` variant.
    #[allow(clippy::too_many_arguments)]
    pub(super) fn write_image_load(
        &mut self,
        result_type_id: Word,
        image: Handle<crate::Expression>,
        coordinate: Handle<crate::Expression>,
        array_index: Option<Handle<crate::Expression>>,
        level: Option<Handle<crate::Expression>>,
        sample: Option<Handle<crate::Expression>>,
        block: &mut Block,
    ) -> Result<Word, Error> {
        let image_id = self.get_image_id(image);
        let image_type = self.fun_info[image].ty.inner_with(&self.ir_module.types);
        let image_class = match *image_type {
            crate::TypeInner::Image { class, .. } => class,
            _ => return Err(Error::Validation("image type")),
        };

        let access = Load::from_image_expr(self, image_id, image_class, result_type_id)?;
        let coordinates = self.write_image_coordinates(coordinate, array_index, block)?;

        let level_id = level.map(|expr| self.cached[expr]);
        let sample_id = sample.map(|expr| self.cached[expr]);

        // Perform the access, according to the bounds check policy.
        let access_id = match self.writer.bounds_check_policies.image {
            crate::proc::BoundsCheckPolicy::Restrict => {
                let (coords, level_id, sample_id) = self.write_restricted_coordinates(
                    image_id,
                    coordinates,
                    level_id,
                    sample_id,
                    block,
                )?;
                access.generate(&mut self.writer.id_gen, coords, level_id, sample_id, block)
            }
            crate::proc::BoundsCheckPolicy::ReadZeroSkipWrite => self
                .write_conditional_image_access(
                    image_id,
                    coordinates,
                    level_id,
                    sample_id,
                    block,
                    &access,
                )?,
            crate::proc::BoundsCheckPolicy::Unchecked => access.generate(
                &mut self.writer.id_gen,
                coordinates.value_id,
                level_id,
                sample_id,
                block,
            ),
        };

        // For depth images, `ImageLoad` expressions produce a single f32,
        // whereas the SPIR-V instructions always produce a vec4. So we may have
        // to pull out the component we need.
        let result_id = if result_type_id == access.result_type() {
            // The instruction produced the type we expected. We can use
            // its result as-is.
            access_id
        } else {
            // For `ImageClass::Depth` images, SPIR-V gave us four components,
            // but we only want the first one.
            let component_id = self.gen_id();
            block.body.push(Instruction::composite_extract(
                result_type_id,
                component_id,
                access_id,
                &[0],
            ));
            component_id
        };

        Ok(result_id)
    }

    /// Generate code for an `ImageSample` expression.
    ///
    /// The arguments are the components of an `Expression::ImageSample` variant.
    #[allow(clippy::too_many_arguments)]
    pub(super) fn write_image_sample(
        &mut self,
        result_type_id: Word,
        image: Handle<crate::Expression>,
        sampler: Handle<crate::Expression>,
        gather: Option<crate::SwizzleComponent>,
        coordinate: Handle<crate::Expression>,
        array_index: Option<Handle<crate::Expression>>,
        offset: Option<Handle<crate::Constant>>,
        level: crate::SampleLevel,
        depth_ref: Option<Handle<crate::Expression>>,
        block: &mut Block,
    ) -> Result<Word, Error> {
        use super::instructions::SampleLod;
        // image
        let image_id = self.get_image_id(image);
        let image_type = self.fun_info[image].ty.handle().unwrap();
        // SPIR-V doesn't know about our `Depth` class, and it returns
        // `vec4<f32>`, so we need to grab the first component out of it.
        let needs_sub_access = match self.ir_module.types[image_type].inner {
            crate::TypeInner::Image {
                class: crate::ImageClass::Depth { .. },
                ..
            } => depth_ref.is_none() && gather.is_none(),
            _ => false,
        };
        let sample_result_type_id = if needs_sub_access {
            self.get_type_id(LookupType::Local(LocalType::Value {
                vector_size: Some(crate::VectorSize::Quad),
                kind: crate::ScalarKind::Float,
                width: 4,
                pointer_space: None,
            }))
        } else {
            result_type_id
        };

        // OpTypeSampledImage
        let image_type_id = self.get_type_id(LookupType::Handle(image_type));
        let sampled_image_type_id =
            self.get_type_id(LookupType::Local(LocalType::SampledImage { image_type_id }));

        let sampler_id = self.get_image_id(sampler);
        let coordinates_id = self
            .write_image_coordinates(coordinate, array_index, block)?
            .value_id;

        let sampled_image_id = self.gen_id();
        block.body.push(Instruction::sampled_image(
            sampled_image_type_id,
            sampled_image_id,
            image_id,
            sampler_id,
        ));
        let id = self.gen_id();

        let depth_id = depth_ref.map(|handle| self.cached[handle]);
        let mut mask = spirv::ImageOperands::empty();
        mask.set(spirv::ImageOperands::CONST_OFFSET, offset.is_some());

        let mut main_instruction = match (level, gather) {
            (_, Some(component)) => {
                let component_id = self.get_index_constant(component as u32);
                let mut inst = Instruction::image_gather(
                    sample_result_type_id,
                    id,
                    sampled_image_id,
                    coordinates_id,
                    component_id,
                    depth_id,
                );
                if !mask.is_empty() {
                    inst.add_operand(mask.bits());
                }
                inst
            }
            (crate::SampleLevel::Zero, None) => {
                let mut inst = Instruction::image_sample(
                    sample_result_type_id,
                    id,
                    SampleLod::Explicit,
                    sampled_image_id,
                    coordinates_id,
                    depth_id,
                );

                let zero_id = self
                    .writer
                    .get_constant_scalar(crate::ScalarValue::Float(0.0), 4);

                mask |= spirv::ImageOperands::LOD;
                inst.add_operand(mask.bits());
                inst.add_operand(zero_id);

                inst
            }
            (crate::SampleLevel::Auto, None) => {
                let mut inst = Instruction::image_sample(
                    sample_result_type_id,
                    id,
                    SampleLod::Implicit,
                    sampled_image_id,
                    coordinates_id,
                    depth_id,
                );
                if !mask.is_empty() {
                    inst.add_operand(mask.bits());
                }
                inst
            }
            (crate::SampleLevel::Exact(lod_handle), None) => {
                let mut inst = Instruction::image_sample(
                    sample_result_type_id,
                    id,
                    SampleLod::Explicit,
                    sampled_image_id,
                    coordinates_id,
                    depth_id,
                );

                let lod_id = self.cached[lod_handle];
                mask |= spirv::ImageOperands::LOD;
                inst.add_operand(mask.bits());
                inst.add_operand(lod_id);

                inst
            }
            (crate::SampleLevel::Bias(bias_handle), None) => {
                let mut inst = Instruction::image_sample(
                    sample_result_type_id,
                    id,
                    SampleLod::Implicit,
                    sampled_image_id,
                    coordinates_id,
                    depth_id,
                );

                let bias_id = self.cached[bias_handle];
                mask |= spirv::ImageOperands::BIAS;
                inst.add_operand(mask.bits());
                inst.add_operand(bias_id);

                inst
            }
            (crate::SampleLevel::Gradient { x, y }, None) => {
                let mut inst = Instruction::image_sample(
                    sample_result_type_id,
                    id,
                    SampleLod::Explicit,
                    sampled_image_id,
                    coordinates_id,
                    depth_id,
                );

                let x_id = self.cached[x];
                let y_id = self.cached[y];
                mask |= spirv::ImageOperands::GRAD;
                inst.add_operand(mask.bits());
                inst.add_operand(x_id);
                inst.add_operand(y_id);

                inst
            }
        };

        if let Some(offset_const) = offset {
            let offset_id = self.writer.constant_ids[offset_const.index()];
            main_instruction.add_operand(offset_id);
        }

        block.body.push(main_instruction);

        let id = if needs_sub_access {
            let sub_id = self.gen_id();
            block.body.push(Instruction::composite_extract(
                result_type_id,
                sub_id,
                id,
                &[0],
            ));
            sub_id
        } else {
            id
        };

        Ok(id)
    }

    /// Generate code for an `ImageQuery` expression.
    ///
    /// The arguments are the components of an `Expression::ImageQuery` variant.
    pub(super) fn write_image_query(
        &mut self,
        result_type_id: Word,
        image: Handle<crate::Expression>,
        query: crate::ImageQuery,
        block: &mut Block,
    ) -> Result<Word, Error> {
        use crate::{ImageClass as Ic, ImageDimension as Id, ImageQuery as Iq};

        let image_id = self.get_image_id(image);
        let image_type = self.fun_info[image].ty.handle().unwrap();
        let (dim, arrayed, class) = match self.ir_module.types[image_type].inner {
            crate::TypeInner::Image {
                dim,
                arrayed,
                class,
            } => (dim, arrayed, class),
            _ => {
                return Err(Error::Validation("image type"));
            }
        };

        self.writer
            .require_any("image queries", &[spirv::Capability::ImageQuery])?;

        let id = match query {
            Iq::Size { level } => {
                let dim_coords = match dim {
                    Id::D1 => 1,
                    Id::D2 | Id::Cube => 2,
                    Id::D3 => 3,
                };
                let extended_size_type_id = {
                    let array_coords = if arrayed { 1 } else { 0 };
                    let vector_size = match dim_coords + array_coords {
                        2 => Some(crate::VectorSize::Bi),
                        3 => Some(crate::VectorSize::Tri),
                        4 => Some(crate::VectorSize::Quad),
                        _ => None,
                    };
                    self.get_type_id(LookupType::Local(LocalType::Value {
                        vector_size,
                        kind: crate::ScalarKind::Sint,
                        width: 4,
                        pointer_space: None,
                    }))
                };

                let (query_op, level_id) = match class {
                    Ic::Sampled { multi: true, .. }
                    | Ic::Depth { multi: true }
                    | Ic::Storage { .. } => (spirv::Op::ImageQuerySize, None),
                    _ => {
                        let level_id = match level {
                            Some(expr) => self.cached[expr],
                            None => self.get_index_constant(0),
                        };
                        (spirv::Op::ImageQuerySizeLod, Some(level_id))
                    }
                };

                // The ID of the vector returned by SPIR-V, which contains the dimensions
                // as well as the layer count.
                let id_extended = self.gen_id();
                let mut inst = Instruction::image_query(
                    query_op,
                    extended_size_type_id,
                    id_extended,
                    image_id,
                );
                if let Some(expr_id) = level_id {
                    inst.add_operand(expr_id);
                }
                block.body.push(inst);

                if result_type_id != extended_size_type_id {
                    let id = self.gen_id();
                    let components = match dim {
                        // always pick the first component, and duplicate it for all 3 dimensions
                        Id::Cube => &[0u32, 0][..],
                        _ => &[0u32, 1, 2, 3][..dim_coords],
                    };
                    block.body.push(Instruction::vector_shuffle(
                        result_type_id,
                        id,
                        id_extended,
                        id_extended,
                        components,
                    ));
                    id
                } else {
                    id_extended
                }
            }
            Iq::NumLevels => {
                let id = self.gen_id();
                block.body.push(Instruction::image_query(
                    spirv::Op::ImageQueryLevels,
                    result_type_id,
                    id,
                    image_id,
                ));
                id
            }
            Iq::NumLayers => {
                let vec_size = match dim {
                    Id::D1 => crate::VectorSize::Bi,
                    Id::D2 | Id::Cube => crate::VectorSize::Tri,
                    Id::D3 => crate::VectorSize::Quad,
                };
                let extended_size_type_id = self.get_type_id(LookupType::Local(LocalType::Value {
                    vector_size: Some(vec_size),
                    kind: crate::ScalarKind::Sint,
                    width: 4,
                    pointer_space: None,
                }));
                let id_extended = self.gen_id();
                let mut inst = Instruction::image_query(
                    spirv::Op::ImageQuerySizeLod,
                    extended_size_type_id,
                    id_extended,
                    image_id,
                );
                inst.add_operand(self.get_index_constant(0));
                block.body.push(inst);
                let id = self.gen_id();
                block.body.push(Instruction::composite_extract(
                    result_type_id,
                    id,
                    id_extended,
                    &[vec_size as u32 - 1],
                ));
                id
            }
            Iq::NumSamples => {
                let id = self.gen_id();
                block.body.push(Instruction::image_query(
                    spirv::Op::ImageQuerySamples,
                    result_type_id,
                    id,
                    image_id,
                ));
                id
            }
        };

        Ok(id)
    }

    pub(super) fn write_image_store(
        &mut self,
        image: Handle<crate::Expression>,
        coordinate: Handle<crate::Expression>,
        array_index: Option<Handle<crate::Expression>>,
        value: Handle<crate::Expression>,
        block: &mut Block,
    ) -> Result<(), Error> {
        let image_id = self.get_image_id(image);
        let coordinates = self.write_image_coordinates(coordinate, array_index, block)?;
        let value_id = self.cached[value];

        let write = Store { image_id, value_id };

        match self.writer.bounds_check_policies.image {
            crate::proc::BoundsCheckPolicy::Restrict => {
                let (coords, _, _) =
                    self.write_restricted_coordinates(image_id, coordinates, None, None, block)?;
                write.generate(&mut self.writer.id_gen, coords, None, None, block);
            }
            crate::proc::BoundsCheckPolicy::ReadZeroSkipWrite => {
                self.write_conditional_image_access(
                    image_id,
                    coordinates,
                    None,
                    None,
                    block,
                    &write,
                )?;
            }
            crate::proc::BoundsCheckPolicy::Unchecked => {
                write.generate(
                    &mut self.writer.id_gen,
                    coordinates.value_id,
                    None,
                    None,
                    block,
                );
            }
        }

        Ok(())
    }
}


================================================
FILE: lib/naga/src/back/spv/index.rs
================================================
/*!
Bounds-checking for SPIR-V output.
*/

use super::{
    helpers::global_needs_wrapper, selection::Selection, Block, BlockContext, Error, IdGenerator,
    Instruction, Word,
};
use crate::{arena::Handle, proc::BoundsCheckPolicy};

/// The results of performing a bounds check.
///
/// On success, `write_bounds_check` returns a value of this type.
pub(super) enum BoundsCheckResult {
    /// The index is statically known and in bounds, with the given value.
    KnownInBounds(u32),

    /// The given instruction computes the index to be used.
    Computed(Word),

    /// The given instruction computes a boolean condition which is true
    /// if the index is in bounds.
    Conditional(Word),
}

/// A value that we either know at translation time, or need to compute at runtime.
pub(super) enum MaybeKnown<T> {
    /// The value is known at shader translation time.
    Known(T),

    /// The value is computed by the instruction with the given id.
    Computed(Word),
}

impl<'w> BlockContext<'w> {
    /// Emit code to compute the length of a run-time array.
    ///
    /// Given `array`, an expression referring a runtime-sized array, return the
    /// instruction id for the array's length.
    pub(super) fn write_runtime_array_length(
        &mut self,
        array: Handle<crate::Expression>,
        block: &mut Block,
    ) -> Result<Word, Error> {
        // Naga IR permits runtime-sized arrays as global variables or as the
        // final member of a struct that is a global variable. SPIR-V permits
        // only the latter, so this back end wraps bare runtime-sized arrays
        // in a made-up struct; see `helpers::global_needs_wrapper` and its uses.
        // This code must handle both cases.
        let (structure_id, last_member_index) = match self.ir_function.expressions[array] {
            crate::Expression::AccessIndex { base, index } => {
                match self.ir_function.expressions[base] {
                    crate::Expression::GlobalVariable(handle) => (
                        self.writer.global_variables[handle.index()].access_id,
                        index,
                    ),
                    _ => return Err(Error::Validation("array length expression")),
                }
            }
            crate::Expression::GlobalVariable(handle) => {
                let global = &self.ir_module.global_variables[handle];
                if !global_needs_wrapper(self.ir_module, global) {
                    return Err(Error::Validation("array length expression"));
                }

                (self.writer.global_variables[handle.index()].var_id, 0)
            }
            _ => return Err(Error::Validation("array length expression")),
        };

        let length_id = self.gen_id();
        block.body.push(Instruction::array_length(
            self.writer.get_uint_type_id(),
            length_id,
            structure_id,
            last_member_index,
        ));

        Ok(length_id)
    }

    /// Compute the length of a subscriptable value.
    ///
    /// Given `sequence`, an expression referring to some indexable type, return
    /// its length. The result may either be computed by SPIR-V instructions, or
    /// known at shader translation time.
    ///
    /// `sequence` may be a `Vector`, `Matrix`, or `Array`, a `Pointer` to any
    /// of those, or a `ValuePointer`. An array may be fixed-size, dynamically
    /// sized, or use a specializable constant as its length.
    fn write_sequence_length(
        &mut self,
        sequence: Handle<crate::Expression>,
        block: &mut Block,
    ) -> Result<MaybeKnown<u32>, Error> {
        let sequence_ty = self.fun_info[sequence].ty.inner_with(&self.ir_module.types);
        match sequence_ty.indexable_length(self.ir_module) {
            Ok(crate::proc::IndexableLength::Known(known_length)) => {
                Ok(MaybeKnown::Known(known_length))
            }
            Ok(crate::proc::IndexableLength::Dynamic) => {
                let length_id = self.write_runtime_array_length(sequence, block)?;
                Ok(MaybeKnown::Computed(length_id))
            }
            Err(err) => {
                log::error!("Sequence length for {:?} failed: {}", sequence, err);
                Err(Error::Validation("indexable length"))
            }
        }
    }

    /// Compute the maximum valid index of a subscriptable value.
    ///
    /// Given `sequence`, an expression referring to some indexable type, return
    /// its maximum valid index - one less than its length. The result may
    /// either be computed, or known at shader translation time.
    ///
    /// `sequence` may be a `Vector`, `Matrix`, or `Array`, a `Pointer` to any
    /// of those, or a `ValuePointer`. An array may be fixed-size, dynamically
    /// sized, or use a specializable constant as its length.
    fn write_sequence_max_index(
        &mut self,
        sequence: Handle<crate::Expression>,
        block: &mut Block,
    ) -> Result<MaybeKnown<u32>, Error> {
        match self.write_sequence_length(sequence, block)? {
            MaybeKnown::Known(known_length) => {
                // We should have thrown out all attempts to subscript zero-length
                // sequences during validation, so the following subtraction should never
                // underflow.
                assert!(known_length > 0);
                // Compute the max index from the length now.
                Ok(MaybeKnown::Known(known_length - 1))
            }
            MaybeKnown::Computed(length_id) => {
                // Emit code to compute the max index from the length.
                let const_one_id = self.get_index_constant(1);
                let max_index_id = self.gen_id();
                block.body.push(Instruction::binary(
                    spirv::Op::ISub,
                    self.writer.get_uint_type_id(),
                    max_index_id,
                    length_id,
                    const_one_id,
                ));
                Ok(MaybeKnown::Computed(max_index_id))
            }
        }
    }

    /// Restrict an index to be in range for a vector, matrix, or array.
    ///
    /// This is used to implement `BoundsCheckPolicy::Restrict`. An in-bounds
    /// index is left unchanged. An out-of-bounds index is replaced with some
    /// arbitrary in-bounds index. Note,this is not necessarily clamping; for
    /// example, negative indices might be changed to refer to the last element
    /// of the sequence, not the first, as clamping would do.
    ///
    /// Either return the restricted index value, if known, or add instructions
    /// to `block` to compute it, and return the id of the result. See the
    /// documentation for `BoundsCheckResult` for details.
    ///
    /// The `sequence` expression may be a `Vector`, `Matrix`, or `Array`, a
    /// `Pointer` to any of those, or a `ValuePointer`. An array may be
    /// fixed-size, dynamically sized, or use a specializable constant as its
    /// length.
    pub(super) fn write_restricted_index(
        &mut self,
        sequence: Handle<crate::Expression>,
        index: Handle<crate::Expression>,
        block: &mut Block,
    ) -> Result<BoundsCheckResult, Error> {
        let index_id = self.cached[index];

        // Get the sequence's maximum valid index. Return early if we've already
        // done the bounds check.
        let max_index_id = match self.write_sequence_max_index(sequence, block)? {
            MaybeKnown::Known(known_max_index) => {
                if let crate::Expression::Constant(index_k) = self.ir_function.expressions[index] {
                    if let Some(known_index) = self.ir_module.constants[index_k].to_array_length() {
                        // Both the index and length are known at compile time.
                        //
                        // In strict WGSL compliance mode, out-of-bounds indices cannot be
                        // reported at shader translation time, and must be replaced with
                        // in-bounds indices at run time. So we cannot assume that
                        // validation ensured the index was in bounds. Restrict now.
                        let restricted = std::cmp::min(known_index, known_max_index);
                        return Ok(BoundsCheckResult::KnownInBounds(restricted));
                    }
                }

                self.get_index_constant(known_max_index)
            }
            MaybeKnown::Computed(max_index_id) => max_index_id,
        };

        // One or the other of the index or length is dynamic, so emit code for
        // BoundsCheckPolicy::Restrict.
        let restricted_index_id = self.gen_id();
        block.body.push(Instruction::ext_inst(
            self.writer.gl450_ext_inst_id,
            spirv::GLOp::UMin,
            self.writer.get_uint_type_id(),
            restricted_index_id,
            &[index_id, max_index_id],
        ));
        Ok(BoundsCheckResult::Computed(restricted_index_id))
    }

    /// Write an index bounds comparison to `block`, if needed.
    ///
    /// If we're able to determine statically that `index` is in bounds for
    /// `sequence`, return `KnownInBounds(value)`, where `value` is the actual
    /// value of the index. (In principle, one could know that the index is in
    /// bounds without knowing its specific value, but in our simple-minded
    /// situation, we always know it.)
    ///
    /// If instead we must generate code to perform the comparison at run time,
    /// return `Conditional(comparison_id)`, where `comparison_id` is an
    /// instruction producing a boolean value that is true if `index` is in
    /// bounds for `sequence`.
    ///
    /// The `sequence` expression may be a `Vector`, `Matrix`, or `Array`, a
    /// `Pointer` to any of those, or a `ValuePointer`. An array may be
    /// fixed-size, dynamically sized, or use a specializable constant as its
    /// length.
    fn write_index_comparison(
        &mut self,
        sequence: Handle<crate::Expression>,
        index: Handle<crate::Expression>,
        block: &mut Block,
    ) -> Result<BoundsCheckResult, Error> {
        let index_id = self.cached[index];

        // Get the sequence's length. Return early if we've already done the
        // bounds check.
        let length_id = match self.write_sequence_length(sequence, block)? {
            MaybeKnown::Known(known_length) => {
                if let crate::Expression::Constant(index_k) = self.ir_function.expressions[index] {
                    if let Some(known_index) = self.ir_module.constants[index_k].to_array_length() {
                        // Both the index and length are known at compile time.
                        //
                        // It would be nice to assume that, since we are using the
                        // `ReadZeroSkipWrite` policy, we are not in strict WGSL
                        // compliance mode, and thus we can count on the validator to have
                        // rejected any programs with known out-of-bounds indices, and
                        // thus just return `KnownInBounds` here without actually
                        // checking.
                        //
                        // But it's also reasonable to expect that bounds check policies
                        // and error reporting policies should be able to vary
                        // independently without introducing security holes. So, we should
                        // support the case where bad indices do not cause validation
                        // errors, and are handled via `ReadZeroSkipWrite`.
                        //
                        // In theory, when `known_index` is bad, we could return a new
                        // `KnownOutOfBounds` variant here. But it's simpler just to fall
                        // through and let the bounds check take place. The shader is
                        // broken anyway, so it doesn't make sense to invest in emitting
                        // the ideal code for it.
                        if known_index < known_length {
                            return Ok(BoundsCheckResult::KnownInBounds(known_index));
                        }
                    }
                }

                self.get_index_constant(known_length)
            }
            MaybeKnown::Computed(length_id) => length_id,
        };

        // Compare the index against the length.
        let condition_id = self.gen_id();
        block.body.push(Instruction::binary(
            spirv::Op::ULessThan,
            self.writer.get_bool_type_id(),
            condition_id,
            index_id,
            length_id,
        ));

        // Indicate that we did generate the check.
        Ok(BoundsCheckResult::Conditional(condition_id))
    }

    /// Emit a conditional load for `BoundsCheckPolicy::ReadZeroSkipWrite`.
    ///
    /// Generate code to load a value of `result_type` if `condition` is true,
    /// and generate a null value of that type if it is false. Call `emit_load`
    /// to emit the instructions to perform the load. Return the id of the
    /// merged value of the two branches.
    pub(super) fn write_conditional_indexed_load<F>(
        &mut self,
        result_type: Word,
        condition: Word,
        block: &mut Block,
        emit_load: F,
    ) -> Word
    where
        F: FnOnce(&mut IdGenerator, &mut Block) -> Word,
    {
        // For the out-of-bounds case, we produce a zero value.
        let null_id = self.writer.write_constant_null(result_type);

        let mut selection = Selection::start(block, result_type);

        // As it turns out, we don't actually need a full 'if-then-else'
        // structure for this: SPIR-V constants are declared up front, so the
        // 'else' block would have no instructions. Instead we emit something
        // like this:
        //
        //     result = zero;
        //     if in_bounds {
        //         result = do the load;
        //     }
        //     use result;

        // Continue only if the index was in bounds. Otherwise, branch to the
        // merge block.
        selection.if_true(self, condition, null_id);

        // The in-bounds path. Perform the access and the load.
        let loaded_value = emit_load(&mut self.writer.id_gen, selection.block());

        selection.finish(self, loaded_value)
    }

    /// Emit code for bounds checks for an array, vector, or matrix access.
    ///
    /// This implements either `index_bounds_check_policy` or
    /// `buffer_bounds_check_policy`, depending on the address space of the
    /// pointer being accessed.
    ///
    /// Return a `BoundsCheckResult` indicating how the index should be
    /// consumed. See that type's documentation for details.
    pub(super) fn write_bounds_check(
        &mut self,
        base: Handle<crate::Expression>,
        index: Handle<crate::Expression>,
        block: &mut Block,
    ) -> Result<BoundsCheckResult, Error> {
        let policy = self.writer.bounds_check_policies.choose_policy(
            base,
            &self.ir_module.types,
            self.fun_info,
        );

        Ok(match policy {
            BoundsCheckPolicy::Restrict => self.write_restricted_index(base, index, block)?,
            BoundsCheckPolicy::ReadZeroSkipWrite => {
                self.write_index_comparison(base, index, block)?
            }
            BoundsCheckPolicy::Unchecked => BoundsCheckResult::Computed(self.cached[index]),
        })
    }

    /// Emit code to subscript a vector by value with a computed index.
    ///
    /// Return the id of the element value.
    pub(super) fn write_vector_access(
        &mut self,
        expr_handle: Handle<crate::Expression>,
        base: Handle<crate::Expression>,
        index: Handle<crate::Expression>,
        block: &mut Block,
    ) -> Result<Word, Error> {
        let result_type_id = self.get_expression_type_id(&self.fun_info[expr_handle].ty);

        let base_id = self.cached[base];
        let index_id = self.cached[index];

        let result_id = match self.write_bounds_check(base, index, block)? {
            BoundsCheckResult::KnownInBounds(known_index) => {
                let result_id = self.gen_id();
                block.body.push(Instruction::composite_extract(
                    result_type_id,
                    result_id,
                    base_id,
                    &[known_index],
                ));
                result_id
            }
            BoundsCheckResult::Computed(computed_index_id) => {
                let result_id = self.gen_id();
                block.body.push(Instruction::vector_extract_dynamic(
                    result_type_id,
                    result_id,
                    base_id,
                    computed_index_id,
                ));
                result_id
            }
            BoundsCheckResult::Conditional(comparison_id) => {
                // Run-time bounds checks were required. Emit
                // conditional load.
                self.write_conditional_indexed_load(
                    result_type_id,
                    comparison_id,
                    block,
                    |id_gen, block| {
                        // The in-bounds path. Generate the access.
                        let element_id = id_gen.next();
                        block.body.push(Instruction::vector_extract_dynamic(
                            result_type_id,
                            element_id,
                            base_id,
                            index_id,
                        ));
                        element_id
                    },
                )
            }
        };

        Ok(result_id)
    }
}


================================================
FILE: lib/naga/src/back/spv/instructions.rs
================================================
use super::helpers;
use spirv::{Op, Word};

pub(super) enum Signedness {
    Unsigned = 0,
    Signed = 1,
}

pub(super) enum SampleLod {
    Explicit,
    Implicit,
}

pub(super) struct Case {
    pub value: Word,
    pub label_id: Word,
}

impl super::Instruction {
    //
    //  Debug Instructions
    //

    pub(super) fn source(source_language: spirv::SourceLanguage, version: u32) -> Self {
        let mut instruction = Self::new(Op::Source);
        instruction.add_operand(source_language as u32);
        instruction.add_operands(helpers::bytes_to_words(&version.to_le_bytes()));
        instruction
    }

    pub(super) fn name(target_id: Word, name: &str) -> Self {
        let mut instruction = Self::new(Op::Name);
        instruction.add_operand(target_id);
        instruction.add_operands(helpers::string_to_words(name));
        instruction
    }

    pub(super) fn member_name(target_id: Word, member: Word, name: &str) -> Self {
        let mut instruction = Self::new(Op::MemberName);
        instruction.add_operand(target_id);
        instruction.add_operand(member);
        instruction.add_operands(helpers::string_to_words(name));
        instruction
    }

    //
    //  Annotation Instructions
    //

    pub(super) fn decorate(
        target_id: Word,
        decoration: spirv::Decoration,
        operands: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::Decorate);
        instruction.add_operand(target_id);
        instruction.add_operand(decoration as u32);
        for operand in operands {
            instruction.add_operand(*operand)
        }
        instruction
    }

    pub(super) fn member_decorate(
        target_id: Word,
        member_index: Word,
        decoration: spirv::Decoration,
        operands: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::MemberDecorate);
        instruction.add_operand(target_id);
        instruction.add_operand(member_index);
        instruction.add_operand(decoration as u32);
        for operand in operands {
            instruction.add_operand(*operand)
        }
        instruction
    }

    //
    //  Extension Instructions
    //

    pub(super) fn extension(name: &str) -> Self {
        let mut instruction = Self::new(Op::Extension);
        instruction.add_operands(helpers::string_to_words(name));
        instruction
    }

    pub(super) fn ext_inst_import(id: Word, name: &str) -> Self {
        let mut instruction = Self::new(Op::ExtInstImport);
        instruction.set_result(id);
        instruction.add_operands(helpers::string_to_words(name));
        instruction
    }

    pub(super) fn ext_inst(
        set_id: Word,
        op: spirv::GLOp,
        result_type_id: Word,
        id: Word,
        operands: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::ExtInst);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(set_id);
        instruction.add_operand(op as u32);
        for operand in operands {
            instruction.add_operand(*operand)
        }
        instruction
    }

    //
    //  Mode-Setting Instructions
    //

    pub(super) fn memory_model(
        addressing_model: spirv::AddressingModel,
        memory_model: spirv::MemoryModel,
    ) -> Self {
        let mut instruction = Self::new(Op::MemoryModel);
        instruction.add_operand(addressing_model as u32);
        instruction.add_operand(memory_model as u32);
        instruction
    }

    pub(super) fn entry_point(
        execution_model: spirv::ExecutionModel,
        entry_point_id: Word,
        name: &str,
        interface_ids: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::EntryPoint);
        instruction.add_operand(execution_model as u32);
        instruction.add_operand(entry_point_id);
        instruction.add_operands(helpers::string_to_words(name));

        for interface_id in interface_ids {
            instruction.add_operand(*interface_id);
        }

        instruction
    }

    pub(super) fn execution_mode(
        entry_point_id: Word,
        execution_mode: spirv::ExecutionMode,
        args: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::ExecutionMode);
        instruction.add_operand(entry_point_id);
        instruction.add_operand(execution_mode as u32);
        for arg in args {
            instruction.add_operand(*arg);
        }
        instruction
    }

    pub(super) fn capability(capability: spirv::Capability) -> Self {
        let mut instruction = Self::new(Op::Capability);
        instruction.add_operand(capability as u32);
        instruction
    }

    //
    //  Type-Declaration Instructions
    //

    pub(super) fn type_void(id: Word) -> Self {
        let mut instruction = Self::new(Op::TypeVoid);
        instruction.set_result(id);
        instruction
    }

    pub(super) fn type_bool(id: Word) -> Self {
        let mut instruction = Self::new(Op::TypeBool);
        instruction.set_result(id);
        instruction
    }

    pub(super) fn type_int(id: Word, width: Word, signedness: Signedness) -> Self {
        let mut instruction = Self::new(Op::TypeInt);
        instruction.set_result(id);
        instruction.add_operand(width);
        instruction.add_operand(signedness as u32);
        instruction
    }

    pub(super) fn type_float(id: Word, width: Word) -> Self {
        let mut instruction = Self::new(Op::TypeFloat);
        instruction.set_result(id);
        instruction.add_operand(width);
        instruction
    }

    pub(super) fn type_vector(
        id: Word,
        component_type_id: Word,
        component_count: crate::VectorSize,
    ) -> Self {
        let mut instruction = Self::new(Op::TypeVector);
        instruction.set_result(id);
        instruction.add_operand(component_type_id);
        instruction.add_operand(component_count as u32);
        instruction
    }

    pub(super) fn type_matrix(
        id: Word,
        column_type_id: Word,
        column_count: crate::VectorSize,
    ) -> Self {
        let mut instruction = Self::new(Op::TypeMatrix);
        instruction.set_result(id);
        instruction.add_operand(column_type_id);
        instruction.add_operand(column_count as u32);
        instruction
    }

    #[allow(clippy::too_many_arguments)]
    pub(super) fn type_image(
        id: Word,
        sampled_type_id: Word,
        dim: spirv::Dim,
        flags: super::ImageTypeFlags,
        image_format: spirv::ImageFormat,
    ) -> Self {
        let mut instruction = Self::new(Op::TypeImage);
        instruction.set_result(id);
        instruction.add_operand(sampled_type_id);
        instruction.add_operand(dim as u32);
        instruction.add_operand(flags.contains(super::ImageTypeFlags::DEPTH) as u32);
        instruction.add_operand(flags.contains(super::ImageTypeFlags::ARRAYED) as u32);
        instruction.add_operand(flags.contains(super::ImageTypeFlags::MULTISAMPLED) as u32);
        instruction.add_operand(if flags.contains(super::ImageTypeFlags::SAMPLED) {
            1
        } else {
            2
        });
        instruction.add_operand(image_format as u32);
        instruction
    }

    pub(super) fn type_sampler(id: Word) -> Self {
        let mut instruction = Self::new(Op::TypeSampler);
        instruction.set_result(id);
        instruction
    }

    pub(super) fn type_sampled_image(id: Word, image_type_id: Word) -> Self {
        let mut instruction = Self::new(Op::TypeSampledImage);
        instruction.set_result(id);
        instruction.add_operand(image_type_id);
        instruction
    }

    pub(super) fn type_array(id: Word, element_type_id: Word, length_id: Word) -> Self {
        let mut instruction = Self::new(Op::TypeArray);
        instruction.set_result(id);
        instruction.add_operand(element_type_id);
        instruction.add_operand(length_id);
        instruction
    }

    pub(super) fn type_runtime_array(id: Word, element_type_id: Word) -> Self {
        let mut instruction = Self::new(Op::TypeRuntimeArray);
        instruction.set_result(id);
        instruction.add_operand(element_type_id);
        instruction
    }

    pub(super) fn type_struct(id: Word, member_ids: &[Word]) -> Self {
        let mut instruction = Self::new(Op::TypeStruct);
        instruction.set_result(id);

        for member_id in member_ids {
            instruction.add_operand(*member_id)
        }

        instruction
    }

    pub(super) fn type_pointer(
        id: Word,
        storage_class: spirv::StorageClass,
        type_id: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::TypePointer);
        instruction.set_result(id);
        instruction.add_operand(storage_class as u32);
        instruction.add_operand(type_id);
        instruction
    }

    pub(super) fn type_function(id: Word, return_type_id: Word, parameter_ids: &[Word]) -> Self {
        let mut instruction = Self::new(Op::TypeFunction);
        instruction.set_result(id);
        instruction.add_operand(return_type_id);

        for parameter_id in parameter_ids {
            instruction.add_operand(*parameter_id);
        }

        instruction
    }

    //
    //  Constant-Creation Instructions
    //

    pub(super) fn constant_null(result_type_id: Word, id: Word) -> Self {
        let mut instruction = Self::new(Op::ConstantNull);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction
    }

    pub(super) fn constant_true(result_type_id: Word, id: Word) -> Self {
        let mut instruction = Self::new(Op::ConstantTrue);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction
    }

    pub(super) fn constant_false(result_type_id: Word, id: Word) -> Self {
        let mut instruction = Self::new(Op::ConstantFalse);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction
    }

    pub(super) fn constant(result_type_id: Word, id: Word, values: &[Word]) -> Self {
        let mut instruction = Self::new(Op::Constant);
        instruction.set_type(result_type_id);
        instruction.set_result(id);

        for value in values {
            instruction.add_operand(*value);
        }

        instruction
    }

    pub(super) fn constant_composite(
        result_type_id: Word,
        id: Word,
        constituent_ids: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::ConstantComposite);
        instruction.set_type(result_type_id);
        instruction.set_result(id);

        for constituent_id in constituent_ids {
            instruction.add_operand(*constituent_id);
        }

        instruction
    }

    //
    //  Memory Instructions
    //

    pub(super) fn variable(
        result_type_id: Word,
        id: Word,
        storage_class: spirv::StorageClass,
        initializer_id: Option<Word>,
    ) -> Self {
        let mut instruction = Self::new(Op::Variable);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(storage_class as u32);

        if let Some(initializer_id) = initializer_id {
            instruction.add_operand(initializer_id);
        }

        instruction
    }

    pub(super) fn load(
        result_type_id: Word,
        id: Word,
        pointer_id: Word,
        memory_access: Option<spirv::MemoryAccess>,
    ) -> Self {
        let mut instruction = Self::new(Op::Load);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(pointer_id);

        if let Some(memory_access) = memory_access {
            instruction.add_operand(memory_access.bits());
        }

        instruction
    }

    pub(super) fn atomic_load(
        result_type_id: Word,
        id: Word,
        pointer_id: Word,
        scope_id: Word,
        semantics_id: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::AtomicLoad);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(pointer_id);
        instruction.add_operand(scope_id);
        instruction.add_operand(semantics_id);
        instruction
    }

    pub(super) fn store(
        pointer_id: Word,
        value_id: Word,
        memory_access: Option<spirv::MemoryAccess>,
    ) -> Self {
        let mut instruction = Self::new(Op::Store);
        instruction.add_operand(pointer_id);
        instruction.add_operand(value_id);

        if let Some(memory_access) = memory_access {
            instruction.add_operand(memory_access.bits());
        }

        instruction
    }

    pub(super) fn atomic_store(
        pointer_id: Word,
        scope_id: Word,
        semantics_id: Word,
        value_id: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::AtomicStore);
        instruction.add_operand(pointer_id);
        instruction.add_operand(scope_id);
        instruction.add_operand(semantics_id);
        instruction.add_operand(value_id);
        instruction
    }

    pub(super) fn access_chain(
        result_type_id: Word,
        id: Word,
        base_id: Word,
        index_ids: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::AccessChain);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(base_id);

        for index_id in index_ids {
            instruction.add_operand(*index_id);
        }

        instruction
    }

    pub(super) fn array_length(
        result_type_id: Word,
        id: Word,
        structure_id: Word,
        array_member: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::ArrayLength);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(structure_id);
        instruction.add_operand(array_member);
        instruction
    }

    //
    //  Function Instructions
    //

    pub(super) fn function(
        return_type_id: Word,
        id: Word,
        function_control: spirv::FunctionControl,
        function_type_id: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::Function);
        instruction.set_type(return_type_id);
        instruction.set_result(id);
        instruction.add_operand(function_control.bits());
        instruction.add_operand(function_type_id);
        instruction
    }

    pub(super) fn function_parameter(result_type_id: Word, id: Word) -> Self {
        let mut instruction = Self::new(Op::FunctionParameter);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction
    }

    pub(super) const fn function_end() -> Self {
        Self::new(Op::FunctionEnd)
    }

    pub(super) fn function_call(
        result_type_id: Word,
        id: Word,
        function_id: Word,
        argument_ids: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::FunctionCall);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(function_id);

        for argument_id in argument_ids {
            instruction.add_operand(*argument_id);
        }

        instruction
    }

    //
    //  Image Instructions
    //

    pub(super) fn sampled_image(
        result_type_id: Word,
        id: Word,
        image: Word,
        sampler: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::SampledImage);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(image);
        instruction.add_operand(sampler);
        instruction
    }

    pub(super) fn image_sample(
        result_type_id: Word,
        id: Word,
        lod: SampleLod,
        sampled_image: Word,
        coordinates: Word,
        depth_ref: Option<Word>,
    ) -> Self {
        let op = match (lod, depth_ref) {
            (SampleLod::Explicit, None) => Op::ImageSampleExplicitLod,
            (SampleLod::Implicit, None) => Op::ImageSampleImplicitLod,
            (SampleLod::Explicit, Some(_)) => Op::ImageSampleDrefExplicitLod,
            (SampleLod::Implicit, Some(_)) => Op::ImageSampleDrefImplicitLod,
        };

        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(sampled_image);
        instruction.add_operand(coordinates);
        if let Some(dref) = depth_ref {
            instruction.add_operand(dref);
        }

        instruction
    }

    pub(super) fn image_gather(
        result_type_id: Word,
        id: Word,
        sampled_image: Word,
        coordinates: Word,
        component_id: Word,
        depth_ref: Option<Word>,
    ) -> Self {
        let op = match depth_ref {
            None => Op::ImageGather,
            Some(_) => Op::ImageDrefGather,
        };

        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(sampled_image);
        instruction.add_operand(coordinates);
        if let Some(dref) = depth_ref {
            instruction.add_operand(dref);
        } else {
            instruction.add_operand(component_id);
        }

        instruction
    }

    pub(super) fn image_fetch_or_read(
        op: Op,
        result_type_id: Word,
        id: Word,
        image: Word,
        coordinates: Word,
    ) -> Self {
        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(image);
        instruction.add_operand(coordinates);
        instruction
    }

    pub(super) fn image_write(image: Word, coordinates: Word, value: Word) -> Self {
        let mut instruction = Self::new(Op::ImageWrite);
        instruction.add_operand(image);
        instruction.add_operand(coordinates);
        instruction.add_operand(value);
        instruction
    }

    pub(super) fn image_query(op: Op, result_type_id: Word, id: Word, image: Word) -> Self {
        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(image);
        instruction
    }

    //
    //  Conversion Instructions
    //
    pub(super) fn unary(op: Op, result_type_id: Word, id: Word, value: Word) -> Self {
        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(value);
        instruction
    }

    //
    //  Composite Instructions
    //

    pub(super) fn composite_construct(
        result_type_id: Word,
        id: Word,
        constituent_ids: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::CompositeConstruct);
        instruction.set_type(result_type_id);
        instruction.set_result(id);

        for constituent_id in constituent_ids {
            instruction.add_operand(*constituent_id);
        }

        instruction
    }

    pub(super) fn composite_extract(
        result_type_id: Word,
        id: Word,
        composite_id: Word,
        indices: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::CompositeExtract);
        instruction.set_type(result_type_id);
        instruction.set_result(id);

        instruction.add_operand(composite_id);
        for index in indices {
            instruction.add_operand(*index);
        }

        instruction
    }

    pub(super) fn vector_extract_dynamic(
        result_type_id: Word,
        id: Word,
        vector_id: Word,
        index_id: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::VectorExtractDynamic);
        instruction.set_type(result_type_id);
        instruction.set_result(id);

        instruction.add_operand(vector_id);
        instruction.add_operand(index_id);

        instruction
    }

    pub(super) fn vector_shuffle(
        result_type_id: Word,
        id: Word,
        v1_id: Word,
        v2_id: Word,
        components: &[Word],
    ) -> Self {
        let mut instruction = Self::new(Op::VectorShuffle);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(v1_id);
        instruction.add_operand(v2_id);

        for &component in components {
            instruction.add_operand(component);
        }

        instruction
    }

    //
    // Arithmetic Instructions
    //
    pub(super) fn binary(
        op: Op,
        result_type_id: Word,
        id: Word,
        operand_1: Word,
        operand_2: Word,
    ) -> Self {
        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(operand_1);
        instruction.add_operand(operand_2);
        instruction
    }

    pub(super) fn ternary(
        op: Op,
        result_type_id: Word,
        id: Word,
        operand_1: Word,
        operand_2: Word,
        operand_3: Word,
    ) -> Self {
        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(operand_1);
        instruction.add_operand(operand_2);
        instruction.add_operand(operand_3);
        instruction
    }

    pub(super) fn quaternary(
        op: Op,
        result_type_id: Word,
        id: Word,
        operand_1: Word,
        operand_2: Word,
        operand_3: Word,
        operand_4: Word,
    ) -> Self {
        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(operand_1);
        instruction.add_operand(operand_2);
        instruction.add_operand(operand_3);
        instruction.add_operand(operand_4);
        instruction
    }

    pub(super) fn relational(op: Op, result_type_id: Word, id: Word, expr_id: Word) -> Self {
        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(expr_id);
        instruction
    }

    pub(super) fn atomic_binary(
        op: Op,
        result_type_id: Word,
        id: Word,
        pointer: Word,
        scope_id: Word,
        semantics_id: Word,
        value: Word,
    ) -> Self {
        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(pointer);
        instruction.add_operand(scope_id);
        instruction.add_operand(semantics_id);
        instruction.add_operand(value);
        instruction
    }

    pub(super) fn atomic_compare_exchange(
        result_type_id: Word,
        id: Word,
        pointer: Word,
        scope_id: Word,
        equal: Word,
        unequal: Word,
        value: Word,
        comparator: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::AtomicCompareExchange);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(pointer);
        instruction.add_operand(scope_id);
        instruction.add_operand(equal);
        instruction.add_operand(unequal);
        instruction.add_operand(value);
        instruction.add_operand(comparator);
        instruction
    }

    //
    // Bit Instructions
    //

    //
    // Relational and Logical Instructions
    //

    //
    // Derivative Instructions
    //

    pub(super) fn derivative(op: Op, result_type_id: Word, id: Word, expr_id: Word) -> Self {
        let mut instruction = Self::new(op);
        instruction.set_type(result_type_id);
        instruction.set_result(id);
        instruction.add_operand(expr_id);
        instruction
    }

    //
    // Control-Flow Instructions
    //

    pub(super) fn phi(
        result_type_id: Word,
        result_id: Word,
        var_parent_pairs: &[(Word, Word)],
    ) -> Self {
        let mut instruction = Self::new(Op::Phi);
        instruction.add_operand(result_type_id);
        instruction.add_operand(result_id);
        for &(variable, parent) in var_parent_pairs {
            instruction.add_operand(variable);
            instruction.add_operand(parent);
        }
        instruction
    }

    pub(super) fn selection_merge(
        merge_id: Word,
        selection_control: spirv::SelectionControl,
    ) -> Self {
        let mut instruction = Self::new(Op::SelectionMerge);
        instruction.add_operand(merge_id);
        instruction.add_operand(selection_control.bits());
        instruction
    }

    pub(super) fn loop_merge(
        merge_id: Word,
        continuing_id: Word,
        selection_control: spirv::SelectionControl,
    ) -> Self {
        let mut instruction = Self::new(Op::LoopMerge);
        instruction.add_operand(merge_id);
        instruction.add_operand(continuing_id);
        instruction.add_operand(selection_control.bits());
        instruction
    }

    pub(super) fn label(id: Word) -> Self {
        let mut instruction = Self::new(Op::Label);
        instruction.set_result(id);
        instruction
    }

    pub(super) fn branch(id: Word) -> Self {
        let mut instruction = Self::new(Op::Branch);
        instruction.add_operand(id);
        instruction
    }

    // TODO Branch Weights not implemented.
    pub(super) fn branch_conditional(
        condition_id: Word,
        true_label: Word,
        false_label: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::BranchConditional);
        instruction.add_operand(condition_id);
        instruction.add_operand(true_label);
        instruction.add_operand(false_label);
        instruction
    }

    pub(super) fn switch(selector_id: Word, default_id: Word, cases: &[Case]) -> Self {
        let mut instruction = Self::new(Op::Switch);
        instruction.add_operand(selector_id);
        instruction.add_operand(default_id);
        for case in cases {
            instruction.add_operand(case.value);
            instruction.add_operand(case.label_id);
        }
        instruction
    }

    pub(super) fn select(
        result_type_id: Word,
        id: Word,
        condition_id: Word,
        accept_id: Word,
        reject_id: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::Select);
        instruction.add_operand(result_type_id);
        instruction.add_operand(id);
        instruction.add_operand(condition_id);
        instruction.add_operand(accept_id);
        instruction.add_operand(reject_id);
        instruction
    }

    pub(super) const fn kill() -> Self {
        Self::new(Op::Kill)
    }

    pub(super) const fn return_void() -> Self {
        Self::new(Op::Return)
    }

    pub(super) fn return_value(value_id: Word) -> Self {
        let mut instruction = Self::new(Op::ReturnValue);
        instruction.add_operand(value_id);
        instruction
    }

    //
    //  Atomic Instructions
    //

    //
    //  Primitive Instructions
    //

    // Barriers

    pub(super) fn control_barrier(
        exec_scope_id: Word,
        mem_scope_id: Word,
        semantics_id: Word,
    ) -> Self {
        let mut instruction = Self::new(Op::ControlBarrier);
        instruction.add_operand(exec_scope_id);
        instruction.add_operand(mem_scope_id);
        instruction.add_operand(semantics_id);
        instruction
    }
}

impl From<crate::StorageFormat> for spirv::ImageFormat {
    fn from(format: crate::StorageFormat) -> Self {
        use crate::StorageFormat as Sf;
        match format {
            Sf::R8Unorm => Self::R8,
            Sf::R8Snorm => Self::R8Snorm,
            Sf::R8Uint => Self::R8ui,
            Sf::R8Sint => Self::R8i,
            Sf::R16Uint => Self::R16ui,
            Sf::R16Sint => Self::R16i,
            Sf::R16Float => Self::R16f,
            Sf::Rg8Unorm => Self::Rg8,
            Sf::Rg8Snorm => Self::Rg8Snorm,
            Sf::Rg8Uint => Self::Rg8ui,
            Sf::Rg8Sint => Self::Rg8i,
            Sf::R32Uint => Self::R32ui,
            Sf::R32Sint => Self::R32i,
            Sf::R32Float => Self::R32f,
            Sf::Rg16Uint => Self::Rg16ui,
            Sf::Rg16Sint => Self::Rg16i,
            Sf::Rg16Float => Self::Rg16f,
            Sf::Rgba8Unorm => Self::Rgba8,
            Sf::Rgba8Snorm => Self::Rgba8Snorm,
            Sf::Rgba8Uint => Self::Rgba8ui,
            Sf::Rgba8Sint => Self::Rgba8i,
            Sf::Rgb10a2Unorm => Self::Rgb10a2ui,
            Sf::Rg11b10Float => Self::R11fG11fB10f,
            Sf::Rg32Uint => Self::Rg32ui,
            Sf::Rg32Sint => Self::Rg32i,
            Sf::Rg32Float => Self::Rg32f,
            Sf::Rgba16Uint => Self::Rgba16ui,
            Sf::Rgba16Sint => Self::Rgba16i,
            Sf::Rgba16Float => Self::Rgba16f,
            Sf::Rgba32Uint => Self::Rgba32ui,
            Sf::Rgba32Sint => Self::Rgba32i,
            Sf::Rgba32Float => Self::Rgba32f,
        }
    }
}

impl From<crate::ImageDimension> for spirv::Dim {
    fn from(dim: crate::ImageDimension) -> Self {
        use crate::ImageDimension as Id;
        match dim {
            Id::D1 => Self::Dim1D,
            Id::D2 => Self::Dim2D,
            Id::D3 => Self::Dim3D,
            Id::Cube => Self::DimCube,
        }
    }
}


================================================
FILE: lib/naga/src/back/spv/layout.rs
================================================
use super::{Instruction, LogicalLayout, PhysicalLayout};
use spirv::{Op, Word, MAGIC_NUMBER};
use std::iter;

// https://github.com/KhronosGroup/SPIRV-Headers/pull/195
const GENERATOR: Word = 28;

impl PhysicalLayout {
    pub(super) const fn new(version: Word) -> Self {
        PhysicalLayout {
            magic_number: MAGIC_NUMBER,
            version,
            generator: GENERATOR,
            bound: 0,
            instruction_schema: 0x0u32,
        }
    }

    pub(super) fn in_words(&self, sink: &mut impl Extend<Word>) {
        sink.extend(iter::once(self.magic_number));
        sink.extend(iter::once(self.version));
        sink.extend(iter::once(self.generator));
        sink.extend(iter::once(self.bound));
        sink.extend(iter::once(self.instruction_schema));
    }
}

impl super::recyclable::Recyclable for PhysicalLayout {
    fn recycle(self) -> Self {
        PhysicalLayout {
            magic_number: self.magic_number,
            version: self.version,
            generator: self.generator,
            instruction_schema: self.instruction_schema,
            bound: 0,
        }
    }
}

impl LogicalLayout {
    pub(super) fn in_words(&self, sink: &mut impl Extend<Word>) {
        sink.extend(self.capabilities.iter().cloned());
        sink.extend(self.extensions.iter().cloned());
        sink.extend(self.ext_inst_imports.iter().cloned());
        sink.extend(self.memory_model.iter().cloned());
        sink.extend(self.entry_points.iter().cloned());
        sink.extend(self.execution_modes.iter().cloned());
        sink.extend(self.debugs.iter().cloned());
        sink.extend(self.annotations.iter().cloned());
        sink.extend(self.declarations.iter().cloned());
        sink.extend(self.function_declarations.iter().cloned());
        sink.extend(self.function_definitions.iter().cloned());
    }
}

impl super::recyclable::Recyclable for LogicalLayout {
    fn recycle(self) -> Self {
        Self {
            capabilities: self.capabilities.recycle(),
            extensions: self.extensions.recycle(),
            ext_inst_imports: self.ext_inst_imports.recycle(),
            memory_model: self.memory_model.recycle(),
            entry_points: self.entry_points.recycle(),
            execution_modes: self.execution_modes.recycle(),
            debugs: self.debugs.recycle(),
            annotations: self.annotations.recycle(),
            declarations: self.declarations.recycle(),
            function_declarations: self.function_declarations.recycle(),
            function_definitions: self.function_definitions.recycle(),
        }
    }
}

impl Instruction {
    pub(super) const fn new(op: Op) -> Self {
        Instruction {
            op,
            wc: 1, // Always start at 1 for the first word (OP + WC),
            type_id: None,
            result_id: None,
            operands: vec![],
        }
    }

    #[allow(clippy::panic)]
    pub(super) fn set_type(&mut self, id: Word) {
        assert!(self.type_id.is_none(), "Type can only be set once");
        self.type_id = Some(id);
        self.wc += 1;
    }

    #[allow(clippy::panic)]
    pub(super) fn set_result(&mut self, id: Word) {
        assert!(self.result_id.is_none(), "Result can only be set once");
        self.result_id = Some(id);
        self.wc += 1;
    }

    pub(super) fn add_operand(&mut self, operand: Word) {
        self.operands.push(operand);
        self.wc += 1;
    }

    pub(super) fn add_operands(&mut self, operands: Vec<Word>) {
        for operand in operands.into_iter() {
            self.add_operand(operand)
        }
    }

    pub(super) fn to_words(&self, sink: &mut impl Extend<Word>) {
        sink.extend(Some(self.wc << 16 | self.op as u32));
        sink.extend(self.type_id);
        sink.extend(self.result_id);
        sink.extend(self.operands.iter().cloned());
    }
}

impl Instruction {
    #[cfg(test)]
    fn validate(&self, words: &[Word]) {
        let mut inst_index = 0;
        let (wc, op) = ((words[inst_index] >> 16) as u16, words[inst_index] as u16);
        inst_index += 1;

        assert_eq!(wc, words.len() as u16);
        assert_eq!(op, self.op as u16);

        if self.type_id.is_some() {
            assert_eq!(words[inst_index], self.type_id.unwrap());
            inst_index += 1;
        }

        if self.result_id.is_some() {
            assert_eq!(words[inst_index], self.result_id.unwrap());
            inst_index += 1;
        }

        for (op_index, i) in (inst_index..wc as usize).enumerate() {
            assert_eq!(words[i], self.operands[op_index]);
        }
    }
}

#[test]
fn test_physical_layout_in_words() {
    let bound = 5;
    let version = 0x10203;

    let mut output = vec![];
    let mut layout = PhysicalLayout::new(version);
    layout.bound = bound;

    layout.in_words(&mut output);

    assert_eq!(&output, &[MAGIC_NUMBER, version, GENERATOR, bound, 0,]);
}

#[test]
fn test_logical_layout_in_words() {
    let mut output = vec![];
    let mut layout = LogicalLayout::default();
    let layout_vectors = 11;
    let mut instructions = Vec::with_capacity(layout_vectors);

    let vector_names = &[
        "Capabilities",
        "Extensions",
        "External Instruction Imports",
        "Memory Model",
        "Entry Points",
        "Execution Modes",
        "Debugs",
        "Annotations",
        "Declarations",
        "Function Declarations",
        "Function Definitions",
    ];

    for (i, _) in vector_names.iter().enumerate().take(layout_vectors) {
        let mut dummy_instruction = Instruction::new(Op::Constant);
        dummy_instruction.set_type((i + 1) as u32);
        dummy_instruction.set_result((i + 2) as u32);
        dummy_instruction.add_operand((i + 3) as u32);
        dummy_instruction.add_operands(super::helpers::string_to_words(
            format!("This is the vector: {}", vector_names[i]).as_str(),
        ));
        instructions.push(dummy_instruction);
    }

    instructions[0].to_words(&mut layout.capabilities);
    instructions[1].to_words(&mut layout.extensions);
    instructions[2].to_words(&mut layout.ext_inst_imports);
    instructions[3].to_words(&mut layout.memory_model);
    instructions[4].to_words(&mut layout.entry_points);
    instructions[5].to_words(&mut layout.execution_modes);
    instructions[6].to_words(&mut layout.debugs);
    instructions[7].to_words(&mut layout.annotations);
    instructions[8].to_words(&mut layout.declarations);
    instructions[9].to_words(&mut layout.function_declarations);
    instructions[10].to_words(&mut layout.function_definitions);

    layout.in_words(&mut output);

    let mut index: usize = 0;
    for instruction in instructions {
        let wc = instruction.wc as usize;
        instruction.validate(&output[index..index + wc]);
        index += wc;
    }
}


================================================
FILE: lib/naga/src/back/spv/mod.rs
================================================
/*!
Backend for [SPIR-V][spv] (Standard Portable Intermediate Representation).

[spv]: https://www.khronos.org/registry/SPIR-V/
*/

mod block;
mod helpers;
mod image;
mod index;
mod instructions;
mod layout;
mod recyclable;
mod selection;
mod writer;

pub use spirv::Capability;

use crate::arena::Handle;
use crate::proc::{BoundsCheckPolicies, TypeResolution};

use spirv::Word;
use std::ops;
use thiserror::Error;

#[derive(Clone)]
struct PhysicalLayout {
    magic_number: Word,
    version: Word,
    generator: Word,
    bound: Word,
    instruction_schema: Word,
}

#[derive(Default)]
struct LogicalLayout {
    capabilities: Vec<Word>,
    extensions: Vec<Word>,
    ext_inst_imports: Vec<Word>,
    memory_model: Vec<Word>,
    entry_points: Vec<Word>,
    execution_modes: Vec<Word>,
    debugs: Vec<Word>,
    annotations: Vec<Word>,
    declarations: Vec<Word>,
    function_declarations: Vec<Word>,
    function_definitions: Vec<Word>,
}

struct Instruction {
    op: spirv::Op,
    wc: u32,
    type_id: Option<Word>,
    result_id: Option<Word>,
    operands: Vec<Word>,
}

const BITS_PER_BYTE: crate::Bytes = 8;

#[derive(Clone, Debug, Error)]
pub enum Error {
    #[error("The requested entry point couldn't be found")]
    EntryPointNotFound,
    #[error("target SPIRV-{0}.{1} is not supported")]
    UnsupportedVersion(u8, u8),
    #[error("using {0} requires at least one of the capabilities {1:?}, but none are available")]
    MissingCapabilities(&'static str, Vec<Capability>),
    #[error("unimplemented {0}")]
    FeatureNotImplemented(&'static str),
    #[error("module is not validated properly: {0}")]
    Validation(&'static str),
}

#[derive(Default)]
struct IdGenerator(Word);

impl IdGenerator {
    fn next(&mut self) -> Word {
        self.0 += 1;
        self.0
    }
}

/// A SPIR-V block to which we are still adding instructions.
///
/// A `Block` represents a SPIR-V block that does not yet have a termination
/// instruction like `OpBranch` or `OpReturn`.
///
/// The `OpLabel` that starts the block is implicit. It will be emitted based on
/// `label_id` when we write the block to a `LogicalLayout`.
///
/// To terminate a `Block`, pass the block and the termination instruction to
/// `Function::consume`. This takes ownership of the `Block` and transforms it
/// into a `TerminatedBlock`.
struct Block {
    label_id: Word,
    body: Vec<Instruction>,
}

/// A SPIR-V block that ends with a termination instruction.
struct TerminatedBlock {
    label_id: Word,
    body: Vec<Instruction>,
}

impl Block {
    const fn new(label_id: Word) -> Self {
        Block {
            label_id,
            body: Vec::new(),
        }
    }
}

struct LocalVariable {
    id: Word,
    instruction: Instruction,
}

struct ResultMember {
    id: Word,
    type_id: Word,
    built_in: Option<crate::BuiltIn>,
}

struct EntryPointContext {
    argument_ids: Vec<Word>,
    results: Vec<ResultMember>,
}

#[derive(Default)]
struct Function {
    signature: Option<Instruction>,
    parameters: Vec<FunctionArgument>,
    variables: crate::FastHashMap<Handle<crate::LocalVariable>, LocalVariable>,
    blocks: Vec<TerminatedBlock>,
    entry_point_context: Option<EntryPointContext>,
}

impl Function {
    fn consume(&mut self, mut block: Block, termination: Instruction) {
        block.body.push(termination);
        self.blocks.push(TerminatedBlock {
            label_id: block.label_id,
            body: block.body,
        })
    }

    fn parameter_id(&self, index: u32) -> Word {
        match self.entry_point_context {
            Some(ref context) => context.argument_ids[index as usize],
            None => self.parameters[index as usize]
                .instruction
                .result_id
                .unwrap(),
        }
    }
}

/// Characteristics of a SPIR-V `OpTypeImage` type.
///
/// SPIR-V requires non-composite types to be unique, including images. Since we
/// use `LocalType` for this deduplication, it's essential that `LocalImageType`
/// be equal whenever the corresponding `OpTypeImage`s would be. To reduce the
/// likelihood of mistakes, we use fields that correspond exactly to the
/// operands of an `OpTypeImage` instruction, using the actual SPIR-V types
/// where practical.
#[derive(Debug, PartialEq, Hash, Eq, Copy, Clone)]
struct LocalImageType {
    sampled_type: crate::ScalarKind,
    dim: spirv::Dim,
    flags: ImageTypeFlags,
    image_format: spirv::ImageFormat,
}

bitflags::bitflags! {
    /// Flags corresponding to the boolean(-ish) parameters to OpTypeImage.
    pub struct ImageTypeFlags: u8 {
        const DEPTH = 0x1;
        const ARRAYED = 0x2;
        const MULTISAMPLED = 0x4;
        const SAMPLED = 0x8;
    }
}

impl LocalImageType {
    /// Construct a `LocalImageType` from the fields of a `TypeInner::Image`.
    fn from_inner(dim: crate::ImageDimension, arrayed: bool, class: crate::ImageClass) -> Self {
        let make_flags = |multi: bool, other: ImageTypeFlags| -> ImageTypeFlags {
            let mut flags = other;
            flags.set(ImageTypeFlags::ARRAYED, arrayed);
            flags.set(ImageTypeFlags::MULTISAMPLED, multi);
            flags
        };

        let dim = spirv::Dim::from(dim);

        match class {
            crate::ImageClass::Sampled { kind, multi } => LocalImageType {
                sampled_type: kind,
                dim,
                flags: make_flags(multi, ImageTypeFlags::SAMPLED),
                image_format: spirv::ImageFormat::Unknown,
            },
            crate::ImageClass::Depth { multi } => LocalImageType {
                sampled_type: crate::ScalarKind::Float,
                dim,
                flags: make_flags(multi, ImageTypeFlags::DEPTH | ImageTypeFlags::SAMPLED),
                image_format: spirv::ImageFormat::Unknown,
            },
            crate::ImageClass::Storage { format, access: _ } => LocalImageType {
                sampled_type: crate::ScalarKind::from(format),
                dim,
                flags: make_flags(false, ImageTypeFlags::empty()),
                image_format: format.into(),
            },
        }
    }
}

/// A SPIR-V type constructed during code generation.
///
/// This is the variant of [`LookupType`] used to represent types that might not
/// be available in the arena. Variants are present here for one of two reasons:
///
/// -   They represent types synthesized during code generation, as explained
///     in the documentation for [`LookupType`].
///
/// -   They represent types for which SPIR-V forbids duplicate `OpType...`
///     instructions, requiring deduplication.
///
/// This is not a complete copy of [`TypeInner`]: for example, SPIR-V generation
/// never synthesizes new struct types, so `LocalType` has nothing for that.
///
/// Each `LocalType` variant should be handled identically to its analogous
/// `TypeInner` variant. You can use the [`make_local`] function to help with
/// this, by converting everything possible to a `LocalType` before inspecting
/// it.
///
/// ## `Localtype` equality and SPIR-V `OpType` uniqueness
///
/// The definition of `Eq` on `LocalType` is carefully chosen to help us follow
/// certain SPIR-V rules. SPIR-V §2.8 requires some classes of `OpType...`
/// instructions to be unique; for example, you can't have two `OpTypeInt 32 1`
/// instructions in the same module. All 32-bit signed integers must use the
/// same type id.
///
/// All SPIR-V types that must be unique can be represented as a `LocalType`,
/// and two `LocalType`s are always `Eq` if SPIR-V would require them to use the
/// same `OpType...` instruction. This lets us avoid duplicates by recording the
/// ids of the type instructions we've already generated in a hash table,
/// [`Writer::lookup_type`], keyed by `LocalType`.
///
/// As another example, [`LocalImageType`], stored in the `LocalType::Image`
/// variant, is designed to help us deduplicate `OpTypeImage` instructions. See
/// its documentation for details.
///
/// `LocalType` also includes variants like `Pointer` that do not need to be
/// unique - but it is harmless to avoid the duplication.
///
/// As it always must, the `Hash` implementation respects the `Eq` relation.
///
/// [`TypeInner`]: crate::TypeInner
#[derive(Debug, PartialEq, Hash, Eq, Copy, Clone)]
enum LocalType {
    /// A scalar, vector, or pointer to one of those.
    Value {
        /// If `None`, this represents a scalar type. If `Some`, this represents
        /// a vector type of the given size.
        vector_size: Option<crate::VectorSize>,
        kind: crate::ScalarKind,
        width: crate::Bytes,
        pointer_space: Option<spirv::StorageClass>,
    },
    /// A matrix of floating-point values.
    Matrix {
        columns: crate::VectorSize,
        rows: crate::VectorSize,
        width: crate::Bytes,
    },
    Pointer {
        base: Handle<crate::Type>,
        class: spirv::StorageClass,
    },
    Image(LocalImageType),
    SampledImage {
        image_type_id: Word,
    },
    Sampler,
    PointerToBindingArray {
        base: Handle<crate::Type>,
        size: u64,
    },
    BindingArray {
        base: Handle<crate::Type>,
        size: u64,
    },
}

/// A type encountered during SPIR-V generation.
///
/// In the process of writing SPIR-V, we need to synthesize various types for
/// intermediate results and such: pointer types, vector/matrix component types,
/// or even booleans, which usually appear in SPIR-V code even when they're not
/// used by the module source.
///
/// However, we can't use `crate::Type` or `crate::TypeInner` for these, as the
/// type arena may not contain what we need (it only contains types used
/// directly by other parts of the IR), and the IR module is immutable, so we
/// can't add anything to it.
///
/// So for local use in the SPIR-V writer, we use this type, which holds either
/// a handle into the arena, or a [`LocalType`] containing something synthesized
/// locally.
///
/// This is very similar to the [`proc::TypeResolution`] enum, with `LocalType`
/// playing the role of `TypeInner`. However, `LocalType` also has other
/// properties needed for SPIR-V generation; see the description of
/// [`LocalType`] for details.
///
/// [`proc::TypeResolution`]: crate::proc::TypeResolution
#[derive(Debug, PartialEq, Hash, Eq, Copy, Clone)]
enum LookupType {
    Handle(Handle<crate::Type>),
    Local(LocalType),
}

impl From<LocalType> for LookupType {
    fn from(local: LocalType) -> Self {
        Self::Local(local)
    }
}

#[derive(Debug, PartialEq, Clone, Hash, Eq)]
struct LookupFunctionType {
    parameter_type_ids: Vec<Word>,
    return_type_id: Word,
}

fn make_local(inner: &crate::TypeInner) -> Option<LocalType> {
    Some(match *inner {
        crate::TypeInner::Scalar { kind, width } | crate::TypeInner::Atomic { kind, width } => {
            LocalType::Value {
                vector_size: None,
                kind,
                width,
                pointer_space: None,
            }
        }
        crate::TypeInner::Vector { size, kind, width } => LocalType::Value {
            vector_size: Some(size),
            kind,
            width,
            pointer_space: None,
        },
        crate::TypeInner::Matrix {
            columns,
            rows,
            width,
        } => LocalType::Matrix {
            columns,
            rows,
            width,
        },
        crate::TypeInner::Pointer { base, space } => LocalType::Pointer {
            base,
            class: helpers::map_storage_class(space),
        },
        crate::TypeInner::ValuePointer {
            size,
            kind,
            width,
            space,
        } => LocalType::Value {
            vector_size: size,
            kind,
            width,
            pointer_space: Some(helpers::map_storage_class(space)),
        },
        crate::TypeInner::Image {
            dim,
            arrayed,
            class,
        } => LocalType::Image(LocalImageType::from_inner(dim, arrayed, class)),
        crate::TypeInner::Sampler { comparison: _ } => LocalType::Sampler,
        _ => return None,
    })
}

#[derive(Debug)]
enum Dimension {
    Scalar,
    Vector,
    Matrix,
}

/// A map from evaluated [`Expression`](crate::Expression)s to their SPIR-V ids.
///
/// When we emit code to evaluate a given `Expression`, we record the
/// SPIR-V id of its value here, under its `Handle<Expression>` index.
///
/// A `CachedExpressions` value can be indexed by a `Handle<Expression>` value.
///
/// [emit]: index.html#expression-evaluation-time-and-scope
#[derive(Default)]
struct CachedExpressions {
    ids: Vec<Word>,
}
impl CachedExpressions {
    fn reset(&mut self, length: usize) {
        self.ids.clear();
        self.ids.resize(length, 0);
    }
}
impl ops::Index<Handle<crate::Expression>> for CachedExpressions {
    type Output = Word;
    fn index(&self, h: Handle<crate::Expression>) -> &Word {
        let id = &self.ids[h.index()];
        if *id == 0 {
            unreachable!("Expression {:?} is not cached!", h);
        }
        id
    }
}
impl ops::IndexMut<Handle<crate::Expression>> for CachedExpressions {
    fn index_mut(&mut self, h: Handle<crate::Expression>) -> &mut Word {
        let id = &mut self.ids[h.index()];
        if *id != 0 {
            unreachable!("Expression {:?} is already cached!", h);
        }
        id
    }
}
impl recyclable::Recyclable for CachedExpressions {
    fn recycle(self) -> Self {
        CachedExpressions {
            ids: self.ids.recycle(),
        }
    }
}

#[derive(Clone)]
struct GlobalVariable {
    /// ID of the OpVariable that declares the global.
    ///
    /// If you need the variable's value, use [`access_id`] instead of this
    /// field. If we wrapped the Naga IR `GlobalVariable`'s type in a struct to
    /// comply with Vulkan's requirements, then this points to the `OpVariable`
    /// with the synthesized struct type, whereas `access_id` points to the
    /// field of said struct that holds the variable's actual value.
    ///
    /// This is used to compute the `access_id` pointer in function prologues,
    /// and used for `ArrayLength` expressions, which do need the struct.
    ///
    /// [`access_id`]: GlobalVariable::access_id
    var_id: Word,

    /// For `AddressSpace::Handle` variables, this ID is recorded in the function
    /// prelude block (and reset before every function) as `OpLoad` of the variable.
    /// It is then used for all the global ops, such as `OpImageSample`.
    handle_id: Word,

    /// Actual ID used to access this variable.
    /// For wrapped buffer variables, this ID is `OpAccessChain` into the
    /// wrapper. Otherwise, the same as `var_id`.
    ///
    /// Vulkan requires that globals in the `StorageBuffer` and `Uniform` storage
    /// classes must be structs with the `Block` decoration, but WGSL and Naga IR
    /// make no such requirement. So for such variables, we generate a wrapper struct
    /// type with a single element of the type given by Naga, generate an
    /// `OpAccessChain` for that member in the function prelude, and use that pointer
    /// to refer to the global in the function body. This is the id of that access,
    /// updated for each function in `write_function`.
    access_id: Word,
}

impl GlobalVariable {
    const fn dummy() -> Self {
        Self {
            var_id: 0,
            handle_id: 0,
            access_id: 0,
        }
    }

    const fn new(id: Word) -> Self {
        Self {
            var_id: id,
            handle_id: 0,
            access_id: 0,
        }
    }

    /// Prepare `self` for use within a single function.
    fn reset_for_function(&mut self) {
        self.handle_id = 0;
        self.access_id = 0;
    }
}

struct FunctionArgument {
    /// Actual instruction of the argument.
    instruction: Instruction,
    handle_id: Word,
}

/// General information needed to emit SPIR-V for Naga statements.
struct BlockContext<'w> {
    /// The writer handling the module to which this code belongs.
    writer: &'w mut Writer,

    /// The [`Module`](crate::Module) for which we're generating code.
    ir_module: &'w crate::Module,

    /// The [`Function`](crate::Function) for which we're generating code.
    ir_function: &'w crate::Function,

    /// Information module validation produced about
    /// [`ir_function`](BlockContext::ir_function).
    fun_info: &'w crate::valid::FunctionInfo,

    /// The [`spv::Function`](Function) to which we are contributing SPIR-V instructions.
    function: &'w mut Function,

    /// SPIR-V ids for expressions we've evaluated.
    cached: CachedExpressions,

    /// The `Writer`'s temporary vector, for convenience.
    temp_list: Vec<Word>,
}

impl BlockContext<'_> {
    fn gen_id(&mut self) -> Word {
        self.writer.id_gen.next()
    }

    fn get_type_id(&mut self, lookup_type: LookupType) -> Word {
        self.writer.get_type_id(lookup_type)
    }

    fn get_expression_type_id(&mut self, tr: &TypeResolution) -> Word {
        self.writer.get_expression_type_id(tr)
    }

    fn get_index_constant(&mut self, index: Word) -> Word {
        self.writer
            .get_constant_scalar(crate::ScalarValue::Uint(index as _), 4)
    }

    fn get_scope_constant(&mut self, scope: Word) -> Word {
        self.writer
            .get_constant_scalar(crate::ScalarValue::Sint(scope as _), 4)
    }
}

#[derive(Clone, Copy, Default)]
struct LoopContext {
    continuing_id: Option<Word>,
    break_id: Option<Word>,
}

pub struct Writer {
    physical_layout: PhysicalLayout,
    logical_layout: LogicalLayout,
    id_gen: IdGenerator,

    /// The set of capabilities modules are permitted to use.
    ///
    /// This is initialized from `Options::capabilities`.
    capabilities_available: Option<crate::FastHashSet<Capability>>,

    /// The set of capabilities used by this module.
    ///
    /// If `capabilities_available` is `Some`, then this is always a subset of
    /// that.
    capabilities_used: crate::FastHashSet<Capability>,

    /// The set of spirv extensions used.
    extensions_used: crate::FastHashSet<&'static str>,

    debugs: Vec<Instruction>,
    annotations: Vec<Instruction>,
    flags: WriterFlags,
    bounds_check_policies: BoundsCheckPolicies,
    void_type: Word,
    //TODO: convert most of these into vectors, addressable by handle indices
    lookup_type: crate::FastHashMap<LookupType, Word>,
    lookup_function: crate::FastHashMap<Handle<crate::Function>, Word>,
    lookup_function_type: crate::FastHashMap<LookupFunctionType, Word>,
    constant_ids: Vec<Word>,
    cached_constants: crate::FastHashMap<(crate::ScalarValue, crate::Bytes), Word>,
    global_variables: Vec<GlobalVariable>,
    binding_map: BindingMap,

    // Cached expressions are only meaningful within a BlockContext, but we
    // retain the table here between functions to save heap allocations.
    saved_cached: CachedExpressions,

    gl450_ext_inst_id: Word,
    // Just a temporary list of SPIR-V ids
    temp_list: Vec<Word>,
}

bitflags::bitflags! {
    pub struct WriterFlags: u32 {
        /// Include debug labels for everything.
        const DEBUG = 0x1;
        /// Flip Y coordinate of `BuiltIn::Position` output.
        const ADJUST_COORDINATE_SPACE = 0x2;
        /// Emit `OpName` for input/output locations.
        /// Contrary to spec, some drivers treat it as semantic, not allowing
        /// any conflicts.
        const LABEL_VARYINGS = 0x4;
        /// Emit `PointSize` output builtin to vertex shaders, which is
        /// required for drawing with `PointList` topology.
        const FORCE_POINT_SIZE = 0x8;
        /// Clamp `BuiltIn::FragDepth` output between 0 and 1.
        const CLAMP_FRAG_DEPTH = 0x10;
    }
}

#[derive(Clone, Debug, Default, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct BindingInfo {
    /// If the binding is an unsized binding array, this overrides the size.
    pub binding_array_size: Option<u32>,
}

// Using `BTreeMap` instead of `HashMap` so that we can hash itself.
pub type BindingMap = std::collections::BTreeMap<crate::ResourceBinding, BindingInfo>;

#[derive(Debug, Clone)]
pub struct Options {
    /// (Major, Minor) target version of the SPIR-V.
    pub lang_version: (u8, u8),

    /// Configuration flags for the writer.
    pub flags: WriterFlags,

    /// Map of resources to information about the binding.
    pub binding_map: BindingMap,

    /// If given, the set of capabilities modules are allowed to use. Code that
    /// requires capabilities beyond these is rejected with an error.
    ///
    /// If this is `None`, all capabilities are permitted.
    pub capabilities: Option<crate::FastHashSet<Capability>>,

    /// How should generate code handle array, vector, matrix, or image texel
    /// indices that are out of range?
    pub bounds_check_policies: BoundsCheckPolicies,
}

impl Default for Options {
    fn default() -> Self {
        let mut flags = WriterFlags::ADJUST_COORDINATE_SPACE
            | WriterFlags::LABEL_VARYINGS
            | WriterFlags::CLAMP_FRAG_DEPTH;
        if cfg!(debug_assertions) {
            flags |= WriterFlags::DEBUG;
        }
        Options {
            lang_version: (1, 0),
            flags,
            binding_map: BindingMap::default(),
            capabilities: None,
            bounds_check_policies: crate::proc::BoundsCheckPolicies::default(),
        }
    }
}

// A subset of options meant to be changed per pipeline.
#[derive(Debug, Clone, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct PipelineOptions {
    /// The stage of the entry point.
    pub shader_stage: crate::ShaderStage,
    /// The name of the entry point.
    ///
    /// If no entry point that matches is found while creating a [`Writer`], a error will be thrown.
    pub entry_point: String,
}

pub fn write_vec(
    module: &crate::Module,
    info: &crate::valid::ModuleInfo,
    options: &Options,
    pipeline_options: Option<&PipelineOptions>,
) -> Result<Vec<u32>, Error> {
    let mut words = Vec::new();
    let mut w = Writer::new(options)?;
    w.write(module, info, pipeline_options, &mut words)?;
    Ok(words)
}


================================================
FILE: lib/naga/src/back/spv/recyclable.rs
================================================
/*!
Reusing collections' previous allocations.
*/

/// A value that can be reset to its initial state, retaining its current allocations.
///
/// Naga attempts to lower the cost of SPIR-V generation by allowing clients to
/// reuse the same `Writer` for multiple Module translations. Reusing a `Writer`
/// means that the `Vec`s, `HashMap`s, and other heap-allocated structures the
/// `Writer` uses internally begin the translation with heap-allocated buffers
/// ready to use.
///
/// But this approach introduces the risk of `Writer` state leaking from one
/// module to the next. When a developer adds fields to `Writer` or its internal
/// types, they must remember to reset their contents between modules.
///
/// One trick to ensure that every field has been accounted for is to use Rust's
/// struct literal syntax to construct a new, reset value. If a developer adds a
/// field, but neglects to update the reset code, the compiler will complain
/// that a field is missing from the literal. This trait's `recycle` method
/// takes `self` by value, and returns `Self` by value, encouraging the use of
/// struct literal expressions in its implementation.
pub trait Recyclable {
    /// Clear `self`, retaining its current memory allocations.
    ///
    /// Shrink the buffer if it's currently much larger than was actually used.
    /// This prevents a module with exceptionally large allocations from causing
    /// the `Writer` to retain more memory than it needs indefinitely.
    fn recycle(self) -> Self;
}

// Stock values for various collections.

impl<T> Recyclable for Vec<T> {
    fn recycle(mut self) -> Self {
        self.clear();
        self
    }
}

impl<K, V, S: Clone> Recyclable for std::collections::HashMap<K, V, S> {
    fn recycle(mut self) -> Self {
        self.clear();
        self
    }
}

impl<K, S: Clone> Recyclable for std::collections::HashSet<K, S> {
    fn recycle(mut self) -> Self {
        self.clear();
        self
    }
}

impl<K: Ord, V> Recyclable for std::collections::BTreeMap<K, V> {
    fn recycle(mut self) -> Self {
        self.clear();
        self
    }
}


================================================
FILE: lib/naga/src/back/spv/selection.rs
================================================
/*!
Generate SPIR-V conditional structures.

Builders for `if` structures with `and`s.

The types in this module track the information needed to emit SPIR-V code
for complex conditional structures, like those whose conditions involve
short-circuiting 'and' and 'or' structures. These track labels and can emit
`OpPhi` instructions to merge values produced along different paths.

This currently only supports exactly the forms Naga uses, so it doesn't
support `or` or `else`, and only supports zero or one merged values.

Naga needs to emit code roughly like this:

```ignore

    value = DEFAULT;
    if COND1 && COND2 {
        value = THEN_VALUE;
    }
    // use value

```

Assuming `ctx` and `block` are a mutable references to a [`BlockContext`]
and the current [`Block`], and `merge_type` is the SPIR-V type for the
merged value `value`, we can build SPIR-V for the code above like so:

```ignore

    let cond = Selection::start(block, merge_type);
        // ... compute `cond1` ...
    cond.if_true(ctx, cond1, DEFAULT);
        // ... compute `cond2` ...
    cond.if_true(ctx, cond2, DEFAULT);
        // ... compute THEN_VALUE
    let merged_value = cond.finish(ctx, THEN_VALUE);

```

After this, `merged_value` is either `DEFAULT` or `THEN_VALUE`, depending on
the path by which the merged block was reached.

This takes care of writing all branch instructions, including an
`OpSelectionMerge` annotation in the header block; starting new blocks and
assigning them labels; and emitting the `OpPhi` that gathers together the
right sources for the merged values, for every path through the selection
construct.

When there is no merged value to produce, you can pass `()` for `merge_type`
and the merge values. In this case no `OpPhi` instructions are produced, and
the `finish` method returns `()`.

To enforce proper nesting, a `Selection` takes ownership of the `&mut Block`
pointer for the duration of its lifetime. To obtain the block for generating
code in the selection's body, call the `Selection::block` method.
*/

use super::{Block, BlockContext, Instruction};
use spirv::Word;

/// A private struct recording what we know about the selection construct so far.
pub(super) struct Selection<'b, M: MergeTuple> {
    /// The block pointer we're emitting code into.
    block: &'b mut Block,

    /// The label of the selection construct's merge block, or `None` if we
    /// haven't yet written the `OpSelectionMerge` merge instruction.
    merge_label: Option<Word>,

    /// A set of `(VALUES, PARENT)` pairs, used to build `OpPhi` instructions in
    /// the merge block. Each `PARENT` is the label of a predecessor block of
    /// the merge block. The corresponding `VALUES` holds the ids of the values
    /// that `PARENT` contributes to the merged values.
    ///
    /// We emit all branches to the merge block, so we know all its
    /// predecessors. And we refuse to emit a branch unless we're given the
    /// values the branching block contributes to the merge, so we always have
    /// everything we need to emit the correct phis, by construction.
    values: Vec<(M, Word)>,

    /// The types of the values in each element of `values`.
    merge_types: M,
}

impl<'b, M: MergeTuple> Selection<'b, M> {
    /// Start a new selection construct.
    ///
    /// The `block` argument indicates the selection's header block.
    ///
    /// The `merge_types` argument should be a `Word` or tuple of `Word`s, each
    /// value being the SPIR-V result type id of an `OpPhi` instruction that
    /// will be written to the selection's merge block when this selection's
    /// [`finish`] method is called. This argument may also be `()`, for
    /// selections that produce no values.
    ///
    /// (This function writes no code to `block` itself; it simply constructs a
    /// fresh `Selection`.)
    ///
    /// [`finish`]: Selection::finish
    pub(super) fn start(block: &'b mut Block, merge_types: M) -> Self {
        Selection {
            block,
            merge_label: None,
            values: vec![],
            merge_types,
        }
    }

    pub(super) fn block(&mut self) -> &mut Block {
        self.block
    }

    /// Branch to a successor block if `cond` is true, otherwise merge.
    ///
    /// If `cond` is false, branch to the merge block, using `values` as the
    /// merged values. Otherwise, proceed to a new block.
    ///
    /// The `values` argument must be the same shape as the `merge_types`
    /// argument passed to `Selection::start`.
    pub(super) fn if_true(&mut self, ctx: &mut BlockContext, cond: Word, values: M) {
        self.values.push((values, self.block.label_id));

        let merge_label = self.make_merge_label(ctx);
        let next_label = ctx.gen_id();
        ctx.function.consume(
            std::mem::replace(self.block, Block::new(next_label)),
            Instruction::branch_conditional(cond, next_label, merge_label),
        );
    }

    /// Emit an unconditional branch to the merge block, and compute merged
    /// values.
    ///
    /// Use `final_values` as the merged values contributed by the current
    /// block, and transition to the merge block, emitting `OpPhi` instructions
    /// to produce the merged values. This must be the same shape as the
    /// `merge_types` argument passed to [`Selection::start`].
    ///
    /// Return the SPIR-V ids of the merged values. This value has the same
    /// shape as the `merge_types` argument passed to `Selection::start`.
    pub(super) fn finish(self, ctx: &mut BlockContext, final_values: M) -> M {
        match self {
            Selection {
                merge_label: None, ..
            } => {
                // We didn't actually emit any branches, so `self.values` must
                // be empty, and `final_values` are the only sources we have for
                // the merged values. Easy peasy.
                final_values
            }

            Selection {
                block,
                merge_label: Some(merge_label),
                mut values,
                merge_types,
            } => {
                // Emit the final branch and transition to the merge block.
                values.push((final_values, block.label_id));
                ctx.function.consume(
                    std::mem::replace(block, Block::new(merge_label)),
                    Instruction::branch(merge_label),
                );

                // Now that we're in the merge block, build the phi instructions.
                merge_types.write_phis(ctx, block, &values)
            }
        }
    }

    /// Return the id of the merge block, writing a merge instruction if needed.
    fn make_merge_label(&mut self, ctx: &mut BlockContext) -> Word {
        match self.merge_label {
            None => {
                let merge_label = ctx.gen_id();
                self.block.body.push(Instruction::selection_merge(
                    merge_label,
                    spirv::SelectionControl::NONE,
                ));
                self.merge_label = Some(merge_label);
                merge_label
            }
            Some(merge_label) => merge_label,
        }
    }
}

/// A trait to help `Selection` manage any number of merged values.
///
/// Some selection constructs, like a `ReadZeroSkipWrite` bounds check on a
/// [`Load`] expression, produce a single merged value. Others produce no merged
/// value, like a bounds check on a [`Store`] statement.
///
/// To let `Selection` work nicely with both cases, we let the merge type
/// argument passed to [`Selection::start`] be any type that implements this
/// `MergeTuple` trait. `MergeTuple` is then implemented for `()`, `Word`,
/// `(Word, Word)`, and so on.
///
/// A `MergeTuple` type can represent either a bunch of SPIR-V types or values;
/// the `merge_types` argument to `Selection::start` are type ids, whereas the
/// `values` arguments to the [`if_true`] and [`finish`] methods are value ids.
/// The set of merged value returned by `finish` is a tuple of value ids.
///
/// In fact, since Naga only uses zero- and single-valued selection constructs
/// at present, we only implement `MergeTuple` for `()` and `Word`. But if you
/// add more cases, feel free to add more implementations. Once const generics
/// are available, we could have a single implementation of `MergeTuple` for all
/// lengths of arrays, and be done with it.
///
/// [`Load`]: crate::Expression::Load
/// [`Store`]: crate::Statement::Store
/// [`if_true`]: Selection::if_true
/// [`finish`]: Selection::finish
pub(super) trait MergeTuple: Sized {
    /// Write OpPhi instructions for the given set of predecessors.
    ///
    /// The `predecessors` vector should be a vector of `(LABEL, VALUES)` pairs,
    /// where each `VALUES` holds the values contributed by the branch from
    /// `LABEL`, which should be one of the current block's predecessors.
    fn write_phis(
        self,
        ctx: &mut BlockContext,
        block: &mut Block,
        predecessors: &[(Self, Word)],
    ) -> Self;
}

/// Selections that produce a single merged value.
///
/// For example, `ImageLoad` with `BoundsCheckPolicy::ReadZeroSkipWrite` either
/// returns a texel value or zeros.
impl MergeTuple for Word {
    fn write_phis(
        self,
        ctx: &mut BlockContext,
        block: &mut Block,
        predecessors: &[(Word, Word)],
    ) -> Word {
        let merged_value = ctx.gen_id();
        block
            .body
            .push(Instruction::phi(self, merged_value, predecessors));
        merged_value
    }
}

/// Selections that produce no merged values.
///
/// For example, `ImageStore` under `BoundsCheckPolicy::ReadZeroSkipWrite`
/// either does the store or skips it, but in neither case does it produce a
/// value.
impl MergeTuple for () {
    /// No phis need to be generated.
    fn write_phis(self, _: &mut BlockContext, _: &mut Block, _: &[((), Word)]) {}
}


================================================
FILE: lib/naga/src/back/spv/writer.rs
================================================
use super::{
    helpers::{contains_builtin, global_needs_wrapper, map_storage_class},
    make_local, Block, BlockContext, CachedExpressions, EntryPointContext, Error, Function,
    FunctionArgument, GlobalVariable, IdGenerator, Instruction, LocalType, LocalVariable,
    LogicalLayout, LookupFunctionType, LookupType, LoopContext, Options, PhysicalLayout,
    PipelineOptions, ResultMember, Writer, WriterFlags, BITS_PER_BYTE,
};
use crate::{
    arena::{Handle, UniqueArena},
    back::spv::BindingInfo,
    proc::{Alignment, TypeResolution},
    valid::{FunctionInfo, ModuleInfo},
};
use spirv::Word;
use std::collections::hash_map::Entry;

struct FunctionInterface<'a> {
    varying_ids: &'a mut Vec<Word>,
    stage: crate::ShaderStage,
}

impl Function {
    fn to_words(&self, sink: &mut impl Extend<Word>) {
        self.signature.as_ref().unwrap().to_words(sink);
        for argument in self.parameters.iter() {
            argument.instruction.to_words(sink);
        }
        for (index, block) in self.blocks.iter().enumerate() {
            Instruction::label(block.label_id).to_words(sink);
            if index == 0 {
                for local_var in self.variables.values() {
                    local_var.instruction.to_words(sink);
                }
            }
            for instruction in block.body.iter() {
                instruction.to_words(sink);
            }
        }
    }
}

impl Writer {
    pub fn new(options: &Options) -> Result<Self, Error> {
        let (major, minor) = options.lang_version;
        if major != 1 {
            return Err(Error::UnsupportedVersion(major, minor));
        }
        let raw_version = ((major as u32) << 16) | ((minor as u32) << 8);

        let mut capabilities_used = crate::FastHashSet::default();
        capabilities_used.insert(spirv::Capability::Shader);

        let mut id_gen = IdGenerator::default();
        let gl450_ext_inst_id = id_gen.next();
        let void_type = id_gen.next();

        Ok(Writer {
            physical_layout: PhysicalLayout::new(raw_version),
            logical_layout: LogicalLayout::default(),
            id_gen,
            capabilities_available: options.capabilities.clone(),
            capabilities_used,
            extensions_used: crate::FastHashSet::default(),
            debugs: vec![],
            annotations: vec![],
            flags: options.flags,
            bounds_check_policies: options.bounds_check_policies,
            void_type,
            lookup_type: crate::FastHashMap::default(),
            lookup_function: crate::FastHashMap::default(),
            lookup_function_type: crate::FastHashMap::default(),
            constant_ids: Vec::new(),
            cached_constants: crate::FastHashMap::default(),
            global_variables: Vec::new(),
            binding_map: options.binding_map.clone(),
            saved_cached: CachedExpressions::default(),
            gl450_ext_inst_id,
            temp_list: Vec::new(),
        })
    }

    /// Reset `Writer` to its initial state, retaining any allocations.
    ///
    /// Why not just implement `Recyclable` for `Writer`? By design,
    /// `Recyclable::recycle` requires ownership of the value, not just
    /// `&mut`; see the trait documentation. But we need to use this method
    /// from functions like `Writer::write`, which only have `&mut Writer`.
    /// Workarounds include unsafe code (`std::ptr::read`, then `write`, ugh)
    /// or something like a `Default` impl that returns an oddly-initialized
    /// `Writer`, which is worse.
    fn reset(&mut self) {
        use super::recyclable::Recyclable;
        use std::mem::take;

        let mut id_gen = IdGenerator::default();
        let gl450_ext_inst_id = id_gen.next();
        let void_type = id_gen.next();

        // Every field of the old writer that is not determined by the `Options`
        // passed to `Writer::new` should be reset somehow.
        let fresh = Writer {
            // Copied from the old Writer:
            flags: self.flags,
            bounds_check_policies: self.bounds_check_policies,
            capabilities_available: take(&mut self.capabilities_available),
            binding_map: take(&mut self.binding_map),

            // Initialized afresh:
            id_gen,
            void_type,
            gl450_ext_inst_id,

            // Recycled:
            capabilities_used: take(&mut self.capabilities_used).recycle(),
            extensions_used: take(&mut self.extensions_used).recycle(),
            physical_layout: self.physical_layout.clone().recycle(),
            logical_layout: take(&mut self.logical_layout).recycle(),
            debugs: take(&mut self.debugs).recycle(),
            annotations: take(&mut self.annotations).recycle(),
            lookup_type: take(&mut self.lookup_type).recycle(),
            lookup_function: take(&mut self.lookup_function).recycle(),
            lookup_function_type: take(&mut self.lookup_function_type).recycle(),
            constant_ids: take(&mut self.constant_ids).recycle(),
            cached_constants: take(&mut self.cached_constants).recycle(),
            global_variables: take(&mut self.global_variables).recycle(),
            saved_cached: take(&mut self.saved_cached).recycle(),
            temp_list: take(&mut self.temp_list).recycle(),
        };

        *self = fresh;

        self.capabilities_used.insert(spirv::Capability::Shader);
    }

    /// Indicate that the code requires any one of the listed capabilities.
    ///
    /// If nothing in `capabilities` appears in the available capabilities
    /// specified in the [`Options`] from which this `Writer` was created,
    /// return an error. The `what` string is used in the error message to
    /// explain what provoked the requirement. (If no available capabilities were
    /// given, assume everything is available.)
    ///
    /// The first acceptable capability will be added to this `Writer`'s
    /// [`capabilities_used`] table, and an `OpCapability` emitted for it in the
    /// result. For this reason, more specific capabilities should be listed
    /// before more general.
    ///
    /// [`capabilities_used`]: Writer::capabilities_used
    pub(super) fn require_any(
        &mut self,
        what: &'static str,
        capabilities: &[spirv::Capability],
    ) -> Result<(), Error> {
        match *capabilities {
            [] => Ok(()),
            [first, ..] => {
                // Find the first acceptable capability, or return an error if
                // there is none.
                let selected = match self.capabilities_available {
                    None => first,
                    Some(ref available) => {
                        match capabilities.iter().find(|cap| available.contains(cap)) {
                            Some(&cap) => cap,
                            None => {
                                return Err(Error::MissingCapabilities(what, capabilities.to_vec()))
                            }
                        }
                    }
                };
                self.capabilities_used.insert(selected);
                Ok(())
            }
        }
    }

    /// Indicate that the code uses the given extension.
    pub(super) fn use_extension(&mut self, extension: &'static str) {
        self.extensions_used.insert(extension);
    }

    pub(super) fn get_type_id(&mut self, lookup_ty: LookupType) -> Word {
        match self.lookup_type.entry(lookup_ty) {
            Entry::Occupied(e) => *e.get(),
            Entry::Vacant(e) => {
                let local = match lookup_ty {
                    LookupType::Handle(_handle) => unreachable!("Handles are populated at start"),
                    LookupType::Local(local) => local,
                };

                let id = self.id_gen.next();
                e.insert(id);
                self.write_type_declaration_local(id, local);
                id
            }
        }
    }

    pub(super) fn get_expression_type_id(&mut self, tr: &TypeResolution) -> Word {
        let lookup_ty = match *tr {
            TypeResolution::Handle(ty_handle) => LookupType::Handle(ty_handle),
            TypeResolution::Value(ref inner) => LookupType::Local(make_local(inner).unwrap()),
        };
        self.get_type_id(lookup_ty)
    }

    pub(super) fn get_pointer_id(
        &mut self,
        arena: &UniqueArena<crate::Type>,
        handle: Handle<crate::Type>,
        class: spirv::StorageClass,
    ) -> Result<Word, Error> {
        let ty_id = self.get_type_id(LookupType::Handle(handle));
        if let crate::TypeInner::Pointer { .. } = arena[handle].inner {
            return Ok(ty_id);
        }
        let lookup_type = LookupType::Local(LocalType::Pointer {
            base: handle,
            class,
        });
        Ok(if let Some(&id) = self.lookup_type.get(&lookup_type) {
            id
        } else {
            let id = self.id_gen.next();
            let instruction = Instruction::type_pointer(id, class, ty_id);
            instruction.to_words(&mut self.logical_layout.declarations);
            self.lookup_type.insert(lookup_type, id);
            id
        })
    }

    pub(super) fn get_uint_type_id(&mut self) -> Word {
        let local_type = LocalType::Value {
            vector_size: None,
            kind: crate::ScalarKind::Uint,
            width: 4,
            pointer_space: None,
        };
        self.get_type_id(local_type.into())
    }

    pub(super) fn get_float_type_id(&mut self) -> Word {
        let local_type = LocalType::Value {
            vector_size: None,
            kind: crate::ScalarKind::Float,
            width: 4,
            pointer_space: None,
        };
        self.get_type_id(local_type.into())
    }

    pub(super) fn get_float_pointer_type_id(&mut self, class: spirv::StorageClass) -> Word {
        let lookup_type = LookupType::Local(LocalType::Value {
            vector_size: None,
            kind: crate::ScalarKind::Float,
            width: 4,
            pointer_space: Some(class),
        });
        if let Some(&id) = self.lookup_type.get(&lookup_type) {
            id
        } else {
            let id = self.id_gen.next();
            let ty_id = self.get_float_type_id();
            let instruction = Instruction::type_pointer(id, class, ty_id);
            instruction.to_words(&mut self.logical_layout.declarations);
            self.lookup_type.insert(lookup_type, id);
            id
        }
    }

    pub(super) fn get_bool_type_id(&mut self) -> Word {
        let local_type = LocalType::Value {
            vector_size: None,
            kind: crate::ScalarKind::Bool,
            width: 1,
            pointer_space: None,
        };
        self.get_type_id(local_type.into())
    }

    pub(super) fn decorate(&mut self, id: Word, decoration: spirv::Decoration, operands: &[Word]) {
        self.annotations
            .push(Instruction::decorate(id, decoration, operands));
    }

    fn write_function(
        &mut self,
        ir_function: &crate::Function,
        info: &FunctionInfo,
        ir_module: &crate::Module,
        mut interface: Option<FunctionInterface>,
    ) -> Result<Word, Error> {
        let mut function = Function::default();

        for (handle, variable) in ir_function.local_variables.iter() {
            let id = self.id_gen.next();

            if self.flags.contains(WriterFlags::DEBUG) {
                if let Some(ref name) = variable.name {
                    self.debugs.push(Instruction::name(id, name));
                }
            }

            let init_word = variable
                .init
                .map(|constant| self.constant_ids[constant.index()]);
            let pointer_type_id =
                self.get_pointer_id(&ir_module.types, variable.ty, spirv::StorageClass::Function)?;
            let instruction = Instruction::variable(
                pointer_type_id,
                id,
                spirv::StorageClass::Function,
                init_word.or_else(|| {
                    let type_id = self.get_type_id(LookupType::Handle(variable.ty));
                    Some(self.write_constant_null(type_id))
                }),
            );
            function
                .variables
                .insert(handle, LocalVariable { id, instruction });
        }

        let prelude_id = self.id_gen.next();
        let mut prelude = Block::new(prelude_id);
        let mut ep_context = EntryPointContext {
            argument_ids: Vec::new(),
            results: Vec::new(),
        };

        let mut parameter_type_ids = Vec::with_capacity(ir_function.arguments.len());
        for argument in ir_function.arguments.iter() {
            let class = spirv::StorageClass::Input;
            let handle_ty = ir_module.types[argument.ty].inner.is_handle();
            let argument_type_id = match handle_ty {
                true => self.get_pointer_id(
                    &ir_module.types,
                    argument.ty,
                    spirv::StorageClass::UniformConstant,
                )?,
                false => self.get_type_id(LookupType::Handle(argument.ty)),
            };

            if let Some(ref mut iface) = interface {
                let id = if let Some(ref binding) = argument.binding {
                    let name = argument.name.as_deref();

                    let varying_id = self.write_varying(
                        ir_module,
                        iface.stage,
                        class,
                        name,
                        argument.ty,
                        binding,
                    )?;
                    iface.varying_ids.push(varying_id);
                    let id = self.id_gen.next();
                    prelude
                        .body
                        .push(Instruction::load(argument_type_id, id, varying_id, None));
                    id
                } else if let crate::TypeInner::Struct { ref members, .. } =
                    ir_module.types[argument.ty].inner
                {
                    let struct_id = self.id_gen.next();
                    let mut constituent_ids = Vec::with_capacity(members.len());
                    for member in members {
                        let type_id = self.get_type_id(LookupType::Handle(member.ty));
                        let name = member.name.as_deref();
                        let binding = member.binding.as_ref().unwrap();
                        let varying_id = self.write_varying(
                            ir_module,
                            iface.stage,
                            class,
                            name,
                            member.ty,
                            binding,
                        )?;
                        iface.varying_ids.push(varying_id);
                        let id = self.id_gen.next();
                        prelude
                            .body
                            .push(Instruction::load(type_id, id, varying_id, None));
                        constituent_ids.push(id);
                    }
                    prelude.body.push(Instruction::composite_construct(
                        argument_type_id,
                        struct_id,
                        &constituent_ids,
                    ));
                    struct_id
                } else {
                    unreachable!("Missing argument binding on an entry point");
                };
                ep_context.argument_ids.push(id);
            } else {
                let argument_id = self.id_gen.next();
                let instruction = Instruction::function_parameter(argument_type_id, argument_id);
                if self.flags.contains(WriterFlags::DEBUG) {
                    if let Some(ref name) = argument.name {
                        self.debugs.push(Instruction::name(argument_id, name));
                    }
                }
                function.parameters.push(FunctionArgument {
                    instruction,
                    handle_id: if handle_ty {
                        let id = self.id_gen.next();
                        prelude.body.push(Instruction::load(
                            self.get_type_id(LookupType::Handle(argument.ty)),
                            id,
                            argument_id,
                            None,
                        ));
                        id
                    } else {
                        0
                    },
                });
                parameter_type_ids.push(argument_type_id);
            };
        }

        let return_type_id = match ir_function.result {
            Some(ref result) => {
                if let Some(ref mut iface) = interface {
                    let mut has_point_size = false;
                    let class = spirv::StorageClass::Output;
                    if let Some(ref binding) = result.binding {
                        has_point_size |=
                            *binding == crate::Binding::BuiltIn(crate::BuiltIn::PointSize);
                        let type_id = self.get_type_id(LookupType::Handle(result.ty));
                        let varying_id = self.write_varying(
                            ir_module,
                            iface.stage,
                            class,
                            None,
                            result.ty,
                            binding,
                        )?;
                        iface.varying_ids.push(varying_id);
                        ep_context.results.push(ResultMember {
                            id: varying_id,
                            type_id,
                            built_in: binding.to_built_in(),
                        });
                    } else if let crate::TypeInner::Struct { ref members, .. } =
                        ir_module.types[result.ty].inner
                    {
                        for member in members {
                            let type_id = self.get_type_id(LookupType::Handle(member.ty));
                            let name = member.name.as_deref();
                            let binding = member.binding.as_ref().unwrap();
                            has_point_size |=
                                *binding == crate::Binding::BuiltIn(crate::BuiltIn::PointSize);
                            let varying_id = self.write_varying(
                                ir_module,
                                iface.stage,
                                class,
                                name,
                                member.ty,
                                binding,
                            )?;
                            iface.varying_ids.push(varying_id);
                            ep_context.results.push(ResultMember {
                                id: varying_id,
                                type_id,
                                built_in: binding.to_built_in(),
                            });
                        }
                    } else {
                        unreachable!("Missing result binding on an entry point");
                    }

                    if self.flags.contains(WriterFlags::FORCE_POINT_SIZE)
                        && iface.stage == crate::ShaderStage::Vertex
                        && !has_point_size
                    {
                        // add point size artificially
                        let varying_id = self.id_gen.next();
                        let pointer_type_id = self.get_float_pointer_type_id(class);
                        Instruction::variable(pointer_type_id, varying_id, class, None)
                            .to_words(&mut self.logical_layout.declarations);
                        self.decorate(
                            varying_id,
                            spirv::Decoration::BuiltIn,
                            &[spirv::BuiltIn::PointSize as u32],
                        );
                        iface.varying_ids.push(varying_id);

                        let default_value_id =
                            self.get_constant_scalar(crate::ScalarValue::Float(1.0), 4);
                        prelude
                            .body
                            .push(Instruction::store(varying_id, default_value_id, None));
                    }
                    self.void_type
                } else {
                    self.get_type_id(LookupType::Handle(result.ty))
                }
            }
            None => self.void_type,
        };

        let lookup_function_type = LookupFunctionType {
            parameter_type_ids,
            return_type_id,
        };

        let function_id = self.id_gen.next();
        if self.flags.contains(WriterFlags::DEBUG) {
            if let Some(ref name) = ir_function.name {
                self.debugs.push(Instruction::name(function_id, name));
            }
        }

        let function_type = self.get_function_type(lookup_function_type);
        function.signature = Some(Instruction::function(
            return_type_id,
            function_id,
            spirv::FunctionControl::empty(),
            function_type,
        ));

        if interface.is_some() {
            function.entry_point_context = Some(ep_context);
        }

        // fill up the `GlobalVariable::access_id`
        for gv in self.global_variables.iter_mut() {
            gv.reset_for_function();
        }
        for (handle, var) in ir_module.global_variables.iter() {
            if info[handle].is_empty() {
                continue;
            }

            let mut gv = self.global_variables[handle.index()].clone();

            // Handle globals are pre-emitted and should be loaded automatically.
            //
            // Any that are binding arrays we skip as we cannot load the array, we must load the result after indexing.
            let is_binding_array = match ir_module.types[var.ty].inner {
                crate::TypeInner::BindingArray { .. } => true,
                _ => false,
            };

            if var.space == crate::AddressSpace::Handle && !is_binding_array {
                let var_type_id = self.get_type_id(LookupType::Handle(var.ty));
                let id = self.id_gen.next();
                prelude
                    .body
                    .push(Instruction::load(var_type_id, id, gv.var_id, None));
                gv.access_id = gv.var_id;
                gv.handle_id = id;
            } else if global_needs_wrapper(ir_module, var) {
                let class = map_storage_class(var.space);
                let pointer_type_id = self.get_pointer_id(&ir_module.types, var.ty, class)?;
                let index_id = self.get_index_constant(0);

                let id = self.id_gen.next();
                prelude.body.push(Instruction::access_chain(
                    pointer_type_id,
                    id,
                    gv.var_id,
                    &[index_id],
                ));
                gv.access_id = id;
            } else {
                // by default, the variable ID is accessed as is
                gv.access_id = gv.var_id;
            };

            // work around borrow checking in the presence of `self.xxx()` calls
            self.global_variables[handle.index()] = gv;
        }

        // Create a `BlockContext` for generating SPIR-V for the function's
        // body.
        let mut context = BlockContext {
            ir_module,
            ir_function,
            fun_info: info,
            function: &mut function,
            // Re-use the cached expression table from prior functions.
            cached: std::mem::take(&mut self.saved_cached),

            // Steal the Writer's temp list for a bit.
            temp_list: std::mem::take(&mut self.temp_list),
            writer: self,
        };

        // fill up the pre-emitted expressions
        context.cached.reset(ir_function.expressions.len());
        for (handle, expr) in ir_function.expressions.iter() {
            if expr.needs_pre_emit() {
                context.cache_expression_value(handle, &mut prelude)?;
            }
        }

        let main_id = context.gen_id();
        context
            .function
            .consume(prelude, Instruction::branch(main_id));
        context.write_block(
            main_id,
            &ir_function.body,
            super::block::BlockExit::Return,
            LoopContext::default(),
        )?;

        // Consume the `BlockContext`, ending its borrows and letting the
        // `Writer` steal back its cached expression table and temp_list.
        let BlockContext {
            cached, temp_list, ..
        } = context;
        self.saved_cached = cached;
        self.temp_list = temp_list;

        function.to_words(&mut self.logical_layout.function_definitions);
        Instruction::function_end().to_words(&mut self.logical_layout.function_definitions);

        Ok(function_id)
    }

    fn write_execution_mode(
        &mut self,
        function_id: Word,
        mode: spirv::ExecutionMode,
    ) -> Result<(), Error> {
        //self.check(mode.required_capabilities())?;
        Instruction::execution_mode(function_id, mode, &[])
            .to_words(&mut self.logical_layout.execution_modes);
        Ok(())
    }

    // TODO Move to instructions module
    fn write_entry_point(
        &mut self,
        entry_point: &crate::EntryPoint,
        info: &FunctionInfo,
        ir_module: &crate::Module,
    ) -> Result<Instruction, Error> {
        let mut interface_ids = Vec::new();
        let function_id = self.write_function(
            &entry_point.function,
            info,
            ir_module,
            Some(FunctionInterface {
                varying_ids: &mut interface_ids,
                stage: entry_point.stage,
            }),
        )?;

        let exec_model = match entry_point.stage {
            crate::ShaderStage::Vertex => spirv::ExecutionModel::Vertex,
            crate::ShaderStage::Fragment => {
                self.write_execution_mode(function_id, spirv::ExecutionMode::OriginUpperLeft)?;
                if let Some(ref result) = entry_point.function.result {
                    if contains_builtin(
                        result.binding.as_ref(),
                        result.ty,
                        &ir_module.types,
                        crate::BuiltIn::FragDepth,
                    ) {
                        self.write_execution_mode(
                            function_id,
                            spirv::ExecutionMode::DepthReplacing,
                        )?;
                    }
                }
                spirv::ExecutionModel::Fragment
            }
            crate::ShaderStage::Compute => {
                let execution_mode = spirv::ExecutionMode::LocalSize;
                //self.check(execution_mode.required_capabilities())?;
                Instruction::execution_mode(
                    function_id,
                    execution_mode,
                    &entry_point.workgroup_size,
                )
                .to_words(&mut self.logical_layout.execution_modes);
                spirv::ExecutionModel::GLCompute
            }
        };
        //self.check(exec_model.required_capabilities())?;

        Ok(Instruction::entry_point(
            exec_model,
            function_id,
            &entry_point.name,
            interface_ids.as_slice(),
        ))
    }

    fn make_scalar(
        &mut self,
        id: Word,
        kind: crate::ScalarKind,
        width: crate::Bytes,
    ) -> Instruction {
        use crate::ScalarKind as Sk;

        let bits = (width * BITS_PER_BYTE) as u32;
        match kind {
            Sk::Sint | Sk::Uint => {
                let signedness = if kind == Sk::Sint {
                    super::instructions::Signedness::Signed
                } else {
                    super::instructions::Signedness::Unsigned
                };
                let cap = match bits {
                    8 => Some(spirv::Capability::Int8),
                    16 => Some(spirv::Capability::Int16),
                    64 => Some(spirv::Capability::Int64),
                    _ => None,
                };
                if let Some(cap) = cap {
                    self.capabilities_used.insert(cap);
                }
                Instruction::type_int(id, bits, signedness)
            }
            Sk::Float => {
                if bits == 64 {
                    self.capabilities_used.insert(spirv::Capability::Float64);
                }
                Instruction::type_float(id, bits)
            }
            Sk::Bool => Instruction::type_bool(id),
        }
    }

    fn request_image_capabilities(&mut self, inner: &crate::TypeInner) -> Result<(), Error> {
        if let crate::TypeInner::Image {
            dim,
            arrayed,
            class,
        } = *inner
        {
            let sampled = match class {
                crate::ImageClass::Sampled { .. } => true,
                crate::ImageClass::Depth { .. } => true,
                crate::ImageClass::Storage { format, .. } => {
                    self.request_image_format_capabilities(format.into())?;
                    false
                }
            };

            match dim {
                crate::ImageDimension::D1 => {
                    if sampled {
                        self.require_any("sampled 1D images", &[spirv::Capability::Sampled1D])?;
                    } else {
                        self.require_any("1D storage images", &[spirv::Capability::Image1D])?;
                    }
                }
                crate::ImageDimension::Cube if arrayed => {
                    if sampled {
                        self.require_any(
                            "sampled cube array images",
                            &[spirv::Capability::SampledCubeArray],
                        )?;
                    } else {
                        self.require_any(
                            "cube array storage images",
                            &[spirv::Capability::ImageCubeArray],
                        )?;
                    }
                }
                _ => {}
            }
        }

        Ok(())
    }

    fn write_type_declaration_local(&mut self, id: Word, local_ty: LocalType) {
        let instruction = match local_ty {
            LocalType::Value {
                vector_size: None,
                kind,
                width,
                pointer_space: None,
            } => self.make_scalar(id, kind, width),
            LocalType::Value {
                vector_size: Some(size),
                kind,
                width,
                pointer_space: None,
            } => {
                let scalar_id = self.get_type_id(LookupType::Local(LocalType::Value {
                    vector_size: None,
                    kind,
                    width,
                    pointer_space: None,
                }));
                Instruction::type_vector(id, scalar_id, size)
            }
            LocalType::Matrix {
                columns,
                rows,
                width,
            } => {
                let vector_id = self.get_type_id(LookupType::Local(LocalType::Value {
                    vector_size: Some(rows),
                    kind: crate::ScalarKind::Float,
                    width,
                    pointer_space: None,
                }));
                Instruction::type_matrix(id, vector_id, columns)
            }
            LocalType::Pointer { base, class } => {
                let type_id = self.get_type_id(LookupType::Handle(base));
                Instruction::type_pointer(id, class, type_id)
            }
            LocalType::Value {
                vector_size,
                kind,
                width,
                pointer_space: Some(class),
            } => {
                let type_id = self.get_type_id(LookupType::Local(LocalType::Value {
                    vector_size,
                    kind,
                    width,
                    pointer_space: None,
                }));
                Instruction::type_pointer(id, class, type_id)
            }
            LocalType::Image(image) => {
                let local_type = LocalType::Value {
                    vector_size: None,
                    kind: image.sampled_type,
                    width: 4,
                    pointer_space: None,
                };
                let type_id = self.get_type_id(LookupType::Local(local_type));
                Instruction::type_image(id, type_id, image.dim, image.flags, image.image_format)
            }
            LocalType::Sampler => Instruction::type_sampler(id),
            LocalType::SampledImage { image_type_id } => {
                Instruction::type_sampled_image(id, image_type_id)
            }
            LocalType::BindingArray { base, size } => {
                let inner_ty = self.get_type_id(LookupType::Handle(base));
                let scalar_id = self.get_constant_scalar(crate::ScalarValue::Uint(size), 4);
                Instruction::type_array(id, inner_ty, scalar_id)
            }
            LocalType::PointerToBindingArray { base, size } => {
                let inner_ty =
                    self.get_type_id(LookupType::Local(LocalType::BindingArray { base, size }));
                Instruction::type_pointer(id, spirv::StorageClass::UniformConstant, inner_ty)
            }
        };

        instruction.to_words(&mut self.logical_layout.declarations);
    }

    fn write_type_declaration_arena(
        &mut self,
        arena: &UniqueArena<crate::Type>,
        handle: Handle<crate::Type>,
    ) -> Result<Word, Error> {
        let ty = &arena[handle];
        let id = if let Some(local) = make_local(&ty.inner) {
            // This type can be represented as a `LocalType`, so check if we've
            // already written an instruction for it. If not, do so now, with
            // `write_type_declaration_local`.
            match self.lookup_type.entry(LookupType::Local(local)) {
                // We already have an id for this `LocalType`.
                Entry::Occupied(e) => *e.get(),

                // It's a type we haven't seen before.
                Entry::Vacant(e) => {
                    let id = self.id_gen.next();
                    e.insert(id);

                    self.write_type_declaration_local(id, local);

                    // If it's an image type, request SPIR-V capabilities here, so
                    // write_type_declaration_local can stay infallible.
                    self.request_image_capabilities(&ty.inner)?;

                    id
                }
            }
        } else {
            use spirv::Decoration;

            let id = self.id_gen.next();
            let instruction = match ty.inner {
                crate::TypeInner::Array { base, size, stride } => {
                    self.decorate(id, Decoration::ArrayStride, &[stride]);

                    let type_id = self.get_type_id(LookupType::Handle(base));
                    match size {
                        crate::ArraySize::Constant(const_handle) => {
                            let length_id = self.constant_ids[const_handle.index()];
                            Instruction::type_array(id, type_id, length_id)
                        }
                        crate::ArraySize::Dynamic => Instruction::type_runtime_array(id, type_id),
                    }
                }
                crate::TypeInner::BindingArray { base, size } => {
                    let type_id = self.get_type_id(LookupType::Handle(base));
                    match size {
                        crate::ArraySize::Constant(const_handle) => {
                            let length_id = self.constant_ids[const_handle.index()];
                            Instruction::type_array(id, type_id, length_id)
                        }
                        crate::ArraySize::Dynamic => Instruction::type_runtime_array(id, type_id),
                    }
                }
                crate::TypeInner::Struct {
                    ref members,
                    span: _,
                } => {
                    let mut member_ids = Vec::with_capacity(members.len());
                    for (index, member) in members.iter().enumerate() {
                        self.decorate_struct_member(id, index, member, arena)?;
                        let member_id = self.get_type_id(LookupType::Handle(member.ty));
                        member_ids.push(member_id);
                    }
                    Instruction::type_struct(id, member_ids.as_slice())
                }

                // These all have TypeLocal representations, so they should have been
                // handled by `write_type_declaration_local` above.
                crate::TypeInner::Scalar { .. }
                | crate::TypeInner::Atomic { .. }
                | crate::TypeInner::Vector { .. }
                | crate::TypeInner::Matrix { .. }
                | crate::TypeInner::Pointer { .. }
                | crate::TypeInner::ValuePointer { .. }
                | crate::TypeInner::Image { .. }
                | crate::TypeInner::Sampler { .. } => unreachable!(),
            };

            instruction.to_words(&mut self.logical_layout.declarations);
            id
        };

        // Add this handle as a new alias for that type.
        self.lookup_type.insert(LookupType::Handle(handle), id);

        if self.flags.contains(WriterFlags::DEBUG) {
            if let Some(ref name) = ty.name {
                self.debugs.push(Instruction::name(id, name));
            }
        }

        Ok(id)
    }

    fn request_image_format_capabilities(
        &mut self,
        format: spirv::ImageFormat,
    ) -> Result<(), Error> {
        use spirv::ImageFormat as If;
        match format {
            If::Rg32f
            | If::Rg16f
            | If::R11fG11fB10f
            | If::R16f
            | If::Rgba16
            | If::Rgb10A2
            | If::Rg16
            | If::Rg8
            | If::R16
            | If::R8
            | If::Rgba16Snorm
            | If::Rg16Snorm
            | If::Rg8Snorm
            | If::R16Snorm
            | If::R8Snorm
            | If::Rg32i
            | If::Rg16i
            | If::Rg8i
            | If::R16i
            | If::R8i
            | If::Rgb10a2ui
            | If::Rg32ui
            | If::Rg16ui
            | If::Rg8ui
            | If::R16ui
            | If::R8ui => self.require_any(
                "storage image format",
                &[spirv::Capability::StorageImageExtendedFormats],
            ),
            If::R64ui | If::R64i => self.require_any(
                "64-bit integer storage image format",
                &[spirv::Capability::Int64ImageEXT],
            ),
            If::Unknown
            | If::Rgba32f
            | If::Rgba16f
            | If::R32f
            | If::Rgba8
            | If::Rgba8Snorm
            | If::Rgba32i
            | If::Rgba16i
            | If::Rgba8i
            | If::R32i
            | If::Rgba32ui
            | If::Rgba16ui
            | If::Rgba8ui
            | If::R32ui => Ok(()),
        }
    }

    pub(super) fn get_index_constant(&mut self, index: Word) -> Word {
        self.get_constant_scalar(crate::ScalarValue::Uint(index as _), 4)
    }

    pub(super) fn get_constant_scalar(
        &mut self,
        value: crate::ScalarValue,
        width: crate::Bytes,
    ) -> Word {
        if let Some(&id) = self.cached_constants.get(&(value, width)) {
            return id;
        }
        let id = self.id_gen.next();
        self.write_constant_scalar(id, &value, width, None);
        self.cached_constants.insert((value, width), id);
        id
    }

    fn write_constant_scalar(
        &mut self,
        id: Word,
        value: &crate::ScalarValue,
        width: crate::Bytes,
        debug_name: Option<&String>,
    ) {
        if self.flags.contains(WriterFlags::DEBUG) {
            if let Some(name) = debug_name {
                self.debugs.push(Instruction::name(id, name));
            }
        }
        let type_id = self.get_type_id(LookupType::Local(LocalType::Value {
            vector_size: None,
            kind: value.scalar_kind(),
            width,
            pointer_space: None,
        }));
        let (solo, pair);
        let instruction = match *value {
            crate::ScalarValue::Sint(val) => {
                let words = match width {
                    4 => {
                        solo = [val as u32];
                        &solo[..]
                    }
                    8 => {
                        pair = [val as u32, (val >> 32) as u32];
                        &pair
                    }
                    _ => unreachable!(),
                };
                Instruction::constant(type_id, id, words)
            }
            crate::ScalarValue::Uint(val) => {
                let words = match width {
                    4 => {
                        solo = [val as u32];
                        &solo[..]
                    }
                    8 => {
                        pair = [val as u32, (val >> 32) as u32];
                        &pair
                    }
                    _ => unreachable!(),
                };
                Instruction::constant(type_id, id, words)
            }
            crate::ScalarValue::Float(val) => {
                let words = match width {
                    4 => {
                        solo = [(val as f32).to_bits()];
                        &solo[..]
                    }
                    8 => {
                        let bits = f64::to_bits(val);
                        pair = [bits as u32, (bits >> 32) as u32];
                        &pair
                    }
                    _ => unreachable!(),
                };
                Instruction::constant(type_id, id, words)
            }
            crate::ScalarValue::Bool(true) => Instruction::constant_true(type_id, id),
            crate::ScalarValue::Bool(false) => Instruction::constant_false(type_id, id),
        };

        instruction.to_words(&mut self.logical_layout.declarations);
    }

    fn write_constant_composite(
        &mut self,
        id: Word,
        ty: Handle<crate::Type>,
        components: &[Handle<crate::Constant>],
    ) -> Result<(), Error> {
        let mut constituent_ids = Vec::with_capacity(components.len());
        for constituent in components.iter() {
            let constituent_id = self.constant_ids[constituent.index()];
            constituent_ids.push(constituent_id);
        }

        let type_id = self.get_type_id(LookupType::Handle(ty));
        Instruction::constant_composite(type_id, id, constituent_ids.as_slice())
            .to_words(&mut self.logical_layout.declarations);
        Ok(())
    }

    pub(super) fn write_constant_null(&mut self, type_id: Word) -> Word {
        let null_id = self.id_gen.next();
        Instruction::constant_null(type_id, null_id)
            .to_words(&mut self.logical_layout.declarations);
        null_id
    }

    /// Generate an `OpVariable` for one value in an [`EntryPoint`]'s IO interface.
    ///
    /// The [`Binding`]s of the arguments and result of an [`EntryPoint`]'s
    /// [`Function`] describe a SPIR-V shader interface. In SPIR-V, the
    /// interface is represented by global variables in the `Input` and `Output`
    /// storage classes, with decorations indicating which builtin or location
    /// each variable corresponds to.
    ///
    /// This function emits a single global `OpVariable` for a single value from
    /// the interface, and adds appropriate decorations to indicate which
    /// builtin or location it represents, how it should be interpolated, and so
    /// on. The `class` argument gives the variable's SPIR-V storage class,
    /// which should be either [`Input`] or [`Output`].
    ///
    /// [`Binding`]: crate::Binding
    /// [`Function`]: crate::Function
    /// [`EntryPoint`]: crate::EntryPoint
    /// [`Input`]: spirv::StorageClass::Input
    /// [`Output`]: spirv::StorageClass::Output
    fn write_varying(
        &mut self,
        ir_module: &crate::Module,
        stage: crate::ShaderStage,
        class: spirv::StorageClass,
        debug_name: Option<&str>,
        ty: Handle<crate::Type>,
        binding: &crate::Binding,
    ) -> Result<Word, Error> {
        let id = self.id_gen.next();
        let pointer_type_id = self.get_pointer_id(&ir_module.types, ty, class)?;
        Instruction::variable(pointer_type_id, id, class, None)
            .to_words(&mut self.logical_layout.declarations);

        if self
            .flags
            .contains(WriterFlags::DEBUG | WriterFlags::LABEL_VARYINGS)
        {
            if let Some(name) = debug_name {
                self.debugs.push(Instruction::name(id, name));
            }
        }

        use spirv::{BuiltIn, Decoration};

        match *binding {
            crate::Binding::Location {
                location,
                interpolation,
                sampling,
            } => {
                self.decorate(id, Decoration::Location, &[location]);

                // The Vulkan spec says: VUID-StandaloneSpirv-Flat-06202
                //
                // > The Flat, NoPerspective, Sample, and Centroid decorations
                // > must not be used on variables with the Input storage class in
                // > a vertex shader
                if class != spirv::StorageClass::Input || stage != crate::ShaderStage::Vertex {
                    match interpolation {
                        // Perspective-correct interpolation is the default in SPIR-V.
                        None | Some(crate::Interpolation::Perspective) => (),
                        Some(crate::Interpolation::Flat) => {
                            self.decorate(id, Decoration::Flat, &[]);
                        }
                        Some(crate::Interpolation::Linear) => {
                            self.decorate(id, Decoration::NoPerspective, &[]);
                        }
                    }
                }

                match sampling {
                    // Center sampling is the default in SPIR-V.
                    None | Some(crate::Sampling::Center) => (),
                    Some(crate::Sampling::Centroid) => {
                        self.decorate(id, Decoration::Centroid, &[]);
                    }
                    Some(crate::Sampling::Sample) => {
                        self.require_any(
                            "per-sample interpolation",
                            &[spirv::Capability::SampleRateShading],
                        )?;
                        self.decorate(id, Decoration::Sample, &[]);
                    }
                }
            }
            crate::Binding::BuiltIn(built_in) => {
                use crate::BuiltIn as Bi;
                let built_in = match built_in {
                    Bi::Position { invariant } => {
                        if invariant {
                            self.decorate(id, Decoration::Invariant, &[]);
                        }

                        if class == spirv::StorageClass::Output {
                            BuiltIn::Position
                        } else {
                            BuiltIn::FragCoord
                        }
                    }
                    Bi::ViewIndex => {
                        self.require_any("`view_index` built-in", &[spirv::Capability::MultiView])?;
                        BuiltIn::ViewIndex
                    }
                    // vertex
                    Bi::BaseInstance => BuiltIn::BaseInstance,
                    Bi::BaseVertex => BuiltIn::BaseVertex,
                    Bi::ClipDistance => BuiltIn::ClipDistance,
                    Bi::CullDistance => BuiltIn::CullDistance,
                    Bi::InstanceIndex => BuiltIn::InstanceIndex,
                    Bi::PointSize => BuiltIn::PointSize,
                    Bi::VertexIndex => BuiltIn::VertexIndex,
                    // fragment
                    Bi::FragDepth => BuiltIn::FragDepth,
                    Bi::FrontFacing => BuiltIn::FrontFacing,
                    Bi::PrimitiveIndex => {
                        self.require_any(
                            "`primitive_index` built-in",
                            &[spirv::Capability::Geometry],
                        )?;
                        BuiltIn::PrimitiveId
                    }
                    Bi::SampleIndex => {
                        self.require_any(
                            "`sample_index` built-in",
                            &[spirv::Capability::SampleRateShading],
                        )?;

                        BuiltIn::SampleId
                    }
                    Bi::SampleMask => BuiltIn::SampleMask,
                    // compute
                    Bi::GlobalInvocationId => BuiltIn::GlobalInvocationId,
                    Bi::LocalInvocationId => BuiltIn::LocalInvocationId,
                    Bi::LocalInvocationIndex => BuiltIn::LocalInvocationIndex,
                    Bi::WorkGroupId => BuiltIn::WorkgroupId,
                    Bi::WorkGroupSize => BuiltIn::WorkgroupSize,
                    Bi::NumWorkGroups => BuiltIn::NumWorkgroups,
                };

                self.decorate(id, Decoration::BuiltIn, &[built_in as u32]);

                use crate::ScalarKind as Sk;

                // Per the Vulkan spec, `VUID-StandaloneSpirv-Flat-04744`:
                //
                // > Any variable with integer or double-precision floating-
                // > point type and with Input storage class in a fragment
                // > shader, must be decorated Flat
                if class == spirv::StorageClass::Input && stage == crate::ShaderStage::Fragment {
                    let is_flat = match ir_module.types[ty].inner {
                        crate::TypeInner::Scalar { kind, .. }
                        | crate::TypeInner::Vector { kind, .. } => match kind {
                            Sk::Uint | Sk::Sint | Sk::Bool => true,
                            Sk::Float => false,
                        },
                        _ => false,
                    };

                    if is_flat {
                        self.decorate(id, Decoration::Flat, &[]);
                    }
                }
            }
        }

        Ok(id)
    }

    fn write_global_variable(
        &mut self,
        ir_module: &crate::Module,
        global_variable: &crate::GlobalVariable,
    ) -> Result<Word, Error> {
        use spirv::Decoration;

        let id = self.id_gen.next();
        let class = map_storage_class(global_variable.space);

        //self.check(class.required_capabilities())?;

        if self.flags.contains(WriterFlags::DEBUG) {
            if let Some(ref name) = global_variable.name {
                self.debugs.push(Instruction::name(id, name));
            }
        }

        let storage_access = match global_variable.space {
            crate::AddressSpace::Storage { access } => Some(access),
            _ => match ir_module.types[global_variable.ty].inner {
                crate::TypeInner::Image {
                    class: crate::ImageClass::Storage { access, .. },
                    ..
                } => Some(access),
                _ => None,
            },
        };
        if let Some(storage_access) = storage_access {
            if !storage_access.contains(crate::StorageAccess::LOAD) {
                self.decorate(id, Decoration::NonReadable, &[]);
            }
            if !storage_access.contains(crate::StorageAccess::STORE) {
                self.decorate(id, Decoration::NonWritable, &[]);
            }
        }

        let mut substitute_inner_type_lookup = None;
        if let Some(ref res_binding) = global_variable.binding {
            self.decorate(id, Decoration::DescriptorSet, &[res_binding.group]);
            self.decorate(id, Decoration::Binding, &[res_binding.binding]);

            if let Some(&BindingInfo {
                binding_array_size: Some(remapped_binding_array_size),
            }) = self.binding_map.get(res_binding)
            {
                if let crate::TypeInner::BindingArray { base, .. } =
                    ir_module.types[global_variable.ty].inner
                {
                    substitute_inner_type_lookup =
                        Some(LookupType::Local(LocalType::PointerToBindingArray {
                            base,
                            size: remapped_binding_array_size as u64,
                        }))
                }
            } else {
            }
        };

        let init_word = global_variable
            .init
            .map(|constant| self.constant_ids[constant.index()]);
        let inner_type_id = self.get_type_id(
            substitute_inner_type_lookup.unwrap_or(LookupType::Handle(global_variable.ty)),
        );

        // generate the wrapping structure if needed
        let pointer_type_id = if global_needs_wrapper(ir_module, global_variable) {
            let wrapper_type_id = self.id_gen.next();

            self.decorate(wrapper_type_id, Decoration::Block, &[]);
            let member = crate::StructMember {
                name: None,
                ty: global_variable.ty,
                binding: None,
                offset: 0,
            };
            self.decorate_struct_member(wrapper_type_id, 0, &member, &ir_module.types)?;

            Instruction::type_struct(wrapper_type_id, &[inner_type_id])
                .to_words(&mut self.logical_layout.declarations);

            let pointer_type_id = self.id_gen.next();
            Instruction::type_pointer(pointer_type_id, class, wrapper_type_id)
                .to_words(&mut self.logical_layout.declarations);

            pointer_type_id
        } else {
            // This is a global variable in the Storage address space. The only
            // way it could have `global_needs_wrapper() == false` is if it has
            // a runtime-sized array. In this case, we need to decorate it with
            // Block.
            if let crate::AddressSpace::Storage { .. } = global_variable.space {
                self.decorate(inner_type_id, Decoration::Block, &[]);
            }
            if substitute_inner_type_lookup.is_some() {
                inner_type_id
            } else {
                self.get_pointer_id(&ir_module.types, global_variable.ty, class)?
            }
        };

        let init_word = match global_variable.space {
            crate::AddressSpace::Private => {
                init_word.or_else(|| Some(self.write_constant_null(inner_type_id)))
            }
            _ => init_word,
        };

        Instruction::variable(pointer_type_id, id, class, init_word)
            .to_words(&mut self.logical_layout.declarations);
        Ok(id)
    }

    /// Write the necessary decorations for a struct member.
    ///
    /// Emit decorations for the `index`'th member of the struct type
    /// designated by `struct_id`, described by `member`.
    fn decorate_struct_member(
        &mut self,
        struct_id: Word,
        index: usize,
        member: &crate::StructMember,
        arena: &UniqueArena<crate::Type>,
    ) -> Result<(), Error> {
        use spirv::Decoration;

        self.annotations.push(Instruction::member_decorate(
            struct_id,
            index as u32,
            Decoration::Offset,
            &[member.offset],
        ));

        if self.flags.contains(WriterFlags::DEBUG) {
            if let Some(ref name) = member.name {
                self.debugs
                    .push(Instruction::member_name(struct_id, index as u32, name));
            }
        }

        // Matrices and arrays of matrices both require decorations,
        // so "see through" an array to determine if they're needed.
        let member_array_subty_inner = match arena[member.ty].inner {
            crate::TypeInner::Array { base, .. } => &arena[base].inner,
            ref other => other,
        };
        if let crate::TypeInner::Matrix {
            columns: _,
            rows,
            width,
        } = *member_array_subty_inner
        {
            let byte_stride = Alignment::from(rows) * width as u32;
            self.annotations.push(Instruction::member_decorate(
                struct_id,
                index as u32,
                Decoration::ColMajor,
                &[],
            ));
            self.annotations.push(Instruction::member_decorate(
                struct_id,
                index as u32,
                Decoration::MatrixStride,
                &[byte_stride],
            ));
        }

        Ok(())
    }

    fn get_function_type(&mut self, lookup_function_type: LookupFunctionType) -> Word {
        match self
            .lookup_function_type
            .entry(lookup_function_type.clone())
        {
            Entry::Occupied(e) => *e.get(),
            _ => {
                let id = self.id_gen.next();
                let instruction = Instruction::type_function(
                    id,
                    lookup_function_type.return_type_id,
                    &lookup_function_type.parameter_type_ids,
                );
                instruction.to_words(&mut self.logical_layout.declarations);
                self.lookup_function_type.insert(lookup_function_type, id);
                id
            }
        }
    }

    fn write_physical_layout(&mut self) {
        self.physical_layout.bound = self.id_gen.0 + 1;
    }

    fn write_logical_layout(
        &mut self,
        ir_module: &crate::Module,
        mod_info: &ModuleInfo,
        ep_index: Option<usize>,
    ) -> Result<(), Error> {
        fn has_view_index_check(
            ir_module: &crate::Module,
            binding: Option<&crate::Binding>,
            ty: Handle<crate::Type>,
        ) -> bool {
            match ir_module.types[ty].inner {
                crate::TypeInner::Struct { ref members, .. } => members.iter().any(|member| {
                    has_view_index_check(ir_module, member.binding.as_ref(), member.ty)
                }),
                _ => binding == Some(&crate::Binding::BuiltIn(crate::BuiltIn::ViewIndex)),
            }
        }

        let has_storage_buffers =
            ir_module
                .global_variables
                .iter()
                .any(|(_, var)| match var.space {
                    crate::AddressSpace::Storage { .. } => true,
                    _ => false,
                });
        let has_view_index = ir_module
            .entry_points
            .iter()
            .flat_map(|entry| entry.function.arguments.iter())
            .any(|arg| has_view_index_check(ir_module, arg.binding.as_ref(), arg.ty));

        if self.physical_layout.version < 0x10300 && has_storage_buffers {
            // enable the storage buffer class on < SPV-1.3
            Instruction::extension("SPV_KHR_storage_buffer_storage_class")
                .to_words(&mut self.logical_layout.extensions);
        }
        if has_view_index {
            Instruction::extension("SPV_KHR_multiview")
                .to_words(&mut self.logical_layout.extensions)
        }
        Instruction::type_void(self.void_type).to_words(&mut self.logical_layout.declarations);
        Instruction::ext_inst_import(self.gl450_ext_inst_id, "GLSL.std.450")
            .to_words(&mut self.logical_layout.ext_inst_imports);

        if self.flags.contains(WriterFlags::DEBUG) {
            self.debugs
                .push(Instruction::source(spirv::SourceLanguage::GLSL, 450));
        }

        self.constant_ids.resize(ir_module.constants.len(), 0);
        // first, output all the scalar constants
        for (handle, constant) in ir_module.constants.iter() {
            match constant.inner {
                crate::ConstantInner::Composite { .. } => continue,
                crate::ConstantInner::Scalar { width, ref value } => {
                    self.constant_ids[handle.index()] = match constant.name {
                        Some(ref name) => {
                            let id = self.id_gen.next();
                            self.write_constant_scalar(id, value, width, Some(name));
                            id
                        }
                        None => self.get_constant_scalar(*value, width),
                    };
                }
            }
        }

        // then all types, some of them may rely on constants and struct type set
        for (handle, _) in ir_module.types.iter() {
            self.write_type_declaration_arena(&ir_module.types, handle)?;
        }

        // the all the composite constants, they rely on types
        for (handle, constant) in ir_module.constants.iter() {
            match constant.inner {
                crate::ConstantInner::Scalar { .. } => continue,
                crate::ConstantInner::Composite { ty, ref components } => {
                    let id = self.id_gen.next();
                    self.constant_ids[handle.index()] = id;
                    if self.flags.contains(WriterFlags::DEBUG) {
                        if let Some(ref name) = constant.name {
                            self.debugs.push(Instruction::name(id, name));
                        }
                    }
                    self.write_constant_composite(id, ty, components)?;
                }
            }
        }
        debug_assert_eq!(self.constant_ids.iter().position(|&id| id == 0), None);

        // now write all globals
        for (handle, var) in ir_module.global_variables.iter() {
            // If a single entry point was specified, only write `OpVariable` instructions
            // for the globals it actually uses. Emit dummies for the others,
            // to preserve the indices in `global_variables`.
            let gvar = match ep_index {
                Some(index) if mod_info.get_entry_point(index)[handle].is_empty() => {
                    GlobalVariable::dummy()
                }
                _ => {
                    let id = self.write_global_variable(ir_module, var)?;
                    GlobalVariable::new(id)
                }
            };
            self.global_variables.push(gvar);
        }

        // all functions
        for (handle, ir_function) in ir_module.functions.iter() {
            let info = &mod_info[handle];
            if let Some(index) = ep_index {
                let ep_info = mod_info.get_entry_point(index);
                // If this function uses globals that we omitted from the SPIR-V
                // because the entry point and its callees didn't use them,
                // then we must skip it.
                if !ep_info.dominates_global_use(info) {
                    log::info!("Skip function {:?}", ir_function.name);
                    continue;
                }
            }
            let id = self.write_function(ir_function, info, ir_module, None)?;
            self.lookup_function.insert(handle, id);
        }

        // and entry points
        for (index, ir_ep) in ir_module.entry_points.iter().enumerate() {
            if ep_index.is_some() && ep_index != Some(index) {
                continue;
            }
            let info = mod_info.get_entry_point(index);
            let ep_instruction = self.write_entry_point(ir_ep, info, ir_module)?;
            ep_instruction.to_words(&mut self.logical_layout.entry_points);
        }

        for capability in self.capabilities_used.iter() {
            Instruction::capability(*capability).to_words(&mut self.logical_layout.capabilities);
        }
        for extension in self.extensions_used.iter() {
            Instruction::extension(extension).to_words(&mut self.logical_layout.extensions);
        }
        if ir_module.entry_points.is_empty() {
            // SPIR-V doesn't like modules without entry points
            Instruction::capability(spirv::Capability::Linkage)
                .to_words(&mut self.logical_layout.capabilities);
        }

        let addressing_model = spirv::AddressingModel::Logical;
        let memory_model = spirv::MemoryModel::GLSL450;
        //self.check(addressing_model.required_capabilities())?;
        //self.check(memory_model.required_capabilities())?;

        Instruction::memory_model(addressing_model, memory_model)
            .to_words(&mut self.logical_layout.memory_model);

        if self.flags.contains(WriterFlags::DEBUG) {
            for debug in self.debugs.iter() {
                debug.to_words(&mut self.logical_layout.debugs);
            }
        }

        for annotation in self.annotations.iter() {
            annotation.to_words(&mut self.logical_layout.annotations);
        }

        Ok(())
    }

    pub fn write(
        &mut self,
        ir_module: &crate::Module,
        info: &ModuleInfo,
        pipeline_options: Option<&PipelineOptions>,
        words: &mut Vec<Word>,
    ) -> Result<(), Error> {
        self.reset();

        // Try to find the entry point and corresponding index
        let ep_index = match pipeline_options {
            Some(po) => {
                let index = ir_module
                    .entry_points
                    .iter()
                    .position(|ep| po.shader_stage == ep.stage && po.entry_point == ep.name)
                    .ok_or(Error::EntryPointNotFound)?;
                Some(index)
            }
            None => None,
        };

        self.write_logical_layout(ir_module, info, ep_index)?;
        self.write_physical_layout();

        self.physical_layout.in_words(words);
        self.logical_layout.in_words(words);
        Ok(())
    }

    /// Return the set of capabilities the last module written used.
    pub const fn get_capabilities_used(&self) -> &crate::FastHashSet<spirv::Capability> {
        &self.capabilities_used
    }
}

#[test]
fn test_write_physical_layout() {
    let mut writer = Writer::new(&Options::default()).unwrap();
    assert_eq!(writer.physical_layout.bound, 0);
    writer.write_physical_layout();
    assert_eq!(writer.physical_layout.bound, 3);
}


================================================
FILE: lib/naga/src/back/wgsl/mod.rs
================================================
/*!
Backend for [WGSL][wgsl] (WebGPU Shading Language).

[wgsl]: https://gpuweb.github.io/gpuweb/wgsl.html
*/

mod writer;

use thiserror::Error;

pub use writer::{Writer, WriterFlags};

#[derive(Error, Debug)]
pub enum Error {
    #[error(transparent)]
    FmtError(#[from] std::fmt::Error),
    #[error("{0}")]
    Custom(String),
    #[error("{0}")]
    Unimplemented(String), // TODO: Error used only during development
    #[error("Unsupported math function: {0:?}")]
    UnsupportedMathFunction(crate::MathFunction),
    #[error("Unsupported relational function: {0:?}")]
    UnsupportedRelationalFunction(crate::RelationalFunction),
}

pub fn write_string(
    module: &crate::Module,
    info: &crate::valid::ModuleInfo,
    flags: WriterFlags,
) -> Result<String, Error> {
    let mut w = Writer::new(String::new(), flags);
    w.write(module, info)?;
    let output = w.finish();
    Ok(output)
}

impl crate::AtomicFunction {
    const fn to_wgsl(self) -> &'static str {
        match self {
            Self::Add => "Add",
            Self::Subtract => "Sub",
            Self::And => "And",
            Self::InclusiveOr => "Or",
            Self::ExclusiveOr => "Xor",
            Self::Min => "Min",
            Self::Max => "Max",
            Self::Exchange { compare: None } => "Exchange",
            Self::Exchange { .. } => "CompareExchangeWeak",
        }
    }
}


================================================
FILE: lib/naga/src/back/wgsl/writer.rs
================================================
use super::Error;
use crate::{
    back,
    proc::{self, NameKey},
    valid, Handle, Module, ShaderStage, TypeInner,
};
use std::fmt::Write;

/// Shorthand result used internally by the backend
type BackendResult = Result<(), Error>;

/// WGSL [attribute](https://gpuweb.github.io/gpuweb/wgsl/#attributes)
enum Attribute {
    Binding(u32),
    BuiltIn(crate::BuiltIn),
    Group(u32),
    Invariant,
    Interpolate(Option<crate::Interpolation>, Option<crate::Sampling>),
    Location(u32),
    Stage(ShaderStage),
    WorkGroupSize([u32; 3]),
}

/// The WGSL form that `write_expr_with_indirection` should use to render a Naga
/// expression.
///
/// Sometimes a Naga `Expression` alone doesn't provide enough information to
/// choose the right rendering for it in WGSL. For example, one natural WGSL
/// rendering of a Naga `LocalVariable(x)` expression might be `&x`, since
/// `LocalVariable` produces a pointer to the local variable's storage. But when
/// rendering a `Store` statement, the `pointer` operand must be the left hand
/// side of a WGSL assignment, so the proper rendering is `x`.
///
/// The caller of `write_expr_with_indirection` must provide an `Expected` value
/// to indicate how ambiguous expressions should be rendered.
#[derive(Clone, Copy, Debug)]
enum Indirection {
    /// Render pointer-construction expressions as WGSL `ptr`-typed expressions.
    ///
    /// This is the right choice for most cases. Whenever a Naga pointer
    /// expression is not the `pointer` operand of a `Load` or `Store`, it
    /// must be a WGSL pointer expression.
    Ordinary,

    /// Render pointer-construction expressions as WGSL reference-typed
    /// expressions.
    ///
    /// For example, this is the right choice for the `pointer` operand when
    /// rendering a `Store` statement as a WGSL assignment.
    Reference,
}

bitflags::bitflags! {
    #[cfg_attr(feature = "serialize", derive(serde::Serialize))]
    #[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
    pub struct WriterFlags: u32 {
        /// Always annotate the type information instead of inferring.
        const EXPLICIT_TYPES = 0x1;
    }
}

pub struct Writer<W> {
    out: W,
    flags: WriterFlags,
    names: crate::FastHashMap<NameKey, String>,
    namer: proc::Namer,
    named_expressions: crate::NamedExpressions,
    ep_results: Vec<(ShaderStage, Handle<crate::Type>)>,
}

impl<W: Write> Writer<W> {
    pub fn new(out: W, flags: WriterFlags) -> Self {
        Writer {
            out,
            flags,
            names: crate::FastHashMap::default(),
            namer: proc::Namer::default(),
            named_expressions: crate::NamedExpressions::default(),
            ep_results: vec![],
        }
    }

    fn reset(&mut self, module: &Module) {
        self.names.clear();
        self.namer.reset(
            module,
            crate::keywords::wgsl::RESERVED,
            // an identifier must not start with two underscore
            &["__"],
            &mut self.names,
        );
        self.named_expressions.clear();
        self.ep_results.clear();
    }

    pub fn write(&mut self, module: &Module, info: &valid::ModuleInfo) -> BackendResult {
        self.reset(module);

        // Save all ep result types
        for (_, ep) in module.entry_points.iter().enumerate() {
            if let Some(ref result) = ep.function.result {
                self.ep_results.push((ep.stage, result.ty));
            }
        }

        // Write all structs
        for (handle, ty) in module.types.iter() {
            if let TypeInner::Struct {
                ref members,
                span: _,
            } = ty.inner
            {
                self.write_struct(module, handle, members)?;
                writeln!(self.out)?;
            }
        }

        // Write all constants
        for (handle, constant) in module.constants.iter() {
            if constant.name.is_some() {
                self.write_global_constant(module, &constant.inner, handle)?;
            }
        }

        // Write all globals
        for (ty, global) in module.global_variables.iter() {
            self.write_global(module, global, ty)?;
        }

        if !module.global_variables.is_empty() {
            // Add extra newline for readability
            writeln!(self.out)?;
        }

        // Write all regular functions
        for (handle, function) in module.functions.iter() {
            let fun_info = &info[handle];

            let func_ctx = back::FunctionCtx {
                ty: back::FunctionType::Function(handle),
                info: fun_info,
                expressions: &function.expressions,
                named_expressions: &function.named_expressions,
            };

            // Write the function
            self.write_function(module, function, &func_ctx)?;

            writeln!(self.out)?;
        }

        // Write all entry points
        for (index, ep) in module.entry_points.iter().enumerate() {
            let attributes = match ep.stage {
                ShaderStage::Vertex | ShaderStage::Fragment => vec![Attribute::Stage(ep.stage)],
                ShaderStage::Compute => vec![
                    Attribute::Stage(ShaderStage::Compute),
                    Attribute::WorkGroupSize(ep.workgroup_size),
                ],
            };

            self.write_attributes(&attributes)?;
            // Add a newline after attribute
            writeln!(self.out)?;

            let func_ctx = back::FunctionCtx {
                ty: back::FunctionType::EntryPoint(index as u16),
                info: info.get_entry_point(index),
                expressions: &ep.function.expressions,
                named_expressions: &ep.function.named_expressions,
            };
            self.write_function(module, &ep.function, &func_ctx)?;

            if index < module.entry_points.len() - 1 {
                writeln!(self.out)?;
            }
        }

        Ok(())
    }

    /// Helper method used to write [`ScalarValue`](crate::ScalarValue)
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    fn write_scalar_value(&mut self, value: crate::ScalarValue) -> BackendResult {
        use crate::ScalarValue as Sv;

        match value {
            Sv::Sint(value) => write!(self.out, "{}", value)?,
            Sv::Uint(value) => write!(self.out, "{}u", value)?,
            // Floats are written using `Debug` instead of `Display` because it always appends the
            // decimal part even it's zero
            Sv::Float(value) => write!(self.out, "{:?}", value)?,
            Sv::Bool(value) => write!(self.out, "{}", value)?,
        }

        Ok(())
    }

    /// Helper method used to write struct name
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    fn write_struct_name(&mut self, module: &Module, handle: Handle<crate::Type>) -> BackendResult {
        if module.types[handle].name.is_none() {
            if let Some(&(stage, _)) = self.ep_results.iter().find(|&&(_, ty)| ty == handle) {
                let name = match stage {
                    ShaderStage::Compute => "ComputeOutput",
                    ShaderStage::Fragment => "FragmentOutput",
                    ShaderStage::Vertex => "VertexOutput",
                };

                write!(self.out, "{}", name)?;
                return Ok(());
            }
        }

        write!(self.out, "{}", self.names[&NameKey::Type(handle)])?;

        Ok(())
    }

    /// Helper method used to write
    /// [functions](https://gpuweb.github.io/gpuweb/wgsl/#functions)
    ///
    /// # Notes
    /// Ends in a newline
    fn write_function(
        &mut self,
        module: &Module,
        func: &crate::Function,
        func_ctx: &back::FunctionCtx<'_>,
    ) -> BackendResult {
        let func_name = match func_ctx.ty {
            back::FunctionType::EntryPoint(index) => &self.names[&NameKey::EntryPoint(index)],
            back::FunctionType::Function(handle) => &self.names[&NameKey::Function(handle)],
        };

        // Write function name
        write!(self.out, "fn {}(", func_name)?;

        // Write function arguments
        for (index, arg) in func.arguments.iter().enumerate() {
            // Write argument attribute if a binding is present
            if let Some(ref binding) = arg.binding {
                self.write_attributes(&map_binding_to_attribute(
                    binding,
                    module.types[arg.ty].inner.scalar_kind(),
                ))?;
            }
            // Write argument name
            let argument_name = match func_ctx.ty {
                back::FunctionType::Function(handle) => {
                    &self.names[&NameKey::FunctionArgument(handle, index as u32)]
                }
                back::FunctionType::EntryPoint(ep_index) => {
                    &self.names[&NameKey::EntryPointArgument(ep_index, index as u32)]
                }
            };

            write!(self.out, "{}: ", argument_name)?;
            // Write argument type
            self.write_type(module, arg.ty)?;
            if index < func.arguments.len() - 1 {
                // Add a separator between args
                write!(self.out, ", ")?;
            }
        }

        write!(self.out, ")")?;

        // Write function return type
        if let Some(ref result) = func.result {
            write!(self.out, " -> ")?;
            if let Some(ref binding) = result.binding {
                self.write_attributes(&map_binding_to_attribute(
                    binding,
                    module.types[result.ty].inner.scalar_kind(),
                ))?;
            }
            self.write_type(module, result.ty)?;
        }

        write!(self.out, " {{")?;
        writeln!(self.out)?;

        // Write function local variables
        for (handle, local) in func.local_variables.iter() {
            // Write indentation (only for readability)
            write!(self.out, "{}", back::INDENT)?;

            // Write the local name
            // The leading space is important
            write!(self.out, "var {}: ", self.names[&func_ctx.name_key(handle)])?;

            // Write the local type
            self.write_type(module, local.ty)?;

            // Write the local initializer if needed
            if let Some(init) = local.init {
                // Put the equal signal only if there's a initializer
                // The leading and trailing spaces aren't needed but help with readability
                write!(self.out, " = ")?;

                // Write the constant
                // `write_constant` adds no trailing or leading space/newline
                self.write_constant(module, init)?;
            }

            // Finish the local with `;` and add a newline (only for readability)
            writeln!(self.out, ";")?
        }

        if !func.local_variables.is_empty() {
            writeln!(self.out)?;
        }

        // Write the function body (statement list)
        for sta in func.body.iter() {
            // The indentation should always be 1 when writing the function body
            self.write_stmt(module, sta, func_ctx, back::Level(1))?;
        }

        writeln!(self.out, "}}")?;

        self.named_expressions.clear();

        Ok(())
    }

    /// Helper method to write a attribute
    fn write_attributes(&mut self, attributes: &[Attribute]) -> BackendResult {
        for attribute in attributes {
            match *attribute {
                Attribute::Location(id) => write!(self.out, "@location({}) ", id)?,
                Attribute::BuiltIn(builtin_attrib) => {
                    if let Some(builtin) = builtin_str(builtin_attrib) {
                        write!(self.out, "@builtin({}) ", builtin)?;
                    } else {
                        log::warn!("Unsupported builtin attribute: {:?}", builtin_attrib);
                    }
                }
                Attribute::Stage(shader_stage) => {
                    let stage_str = match shader_stage {
                        ShaderStage::Vertex => "vertex",
                        ShaderStage::Fragment => "fragment",
                        ShaderStage::Compute => "compute",
                    };
                    write!(self.out, "@{} ", stage_str)?;
                }
                Attribute::WorkGroupSize(size) => {
                    write!(
                        self.out,
                        "@workgroup_size({}, {}, {}) ",
                        size[0], size[1], size[2]
                    )?;
                }
                Attribute::Binding(id) => write!(self.out, "@binding({}) ", id)?,
                Attribute::Group(id) => write!(self.out, "@group({}) ", id)?,
                Attribute::Invariant => write!(self.out, "@invariant ")?,
                Attribute::Interpolate(interpolation, sampling) => {
                    if sampling.is_some() && sampling != Some(crate::Sampling::Center) {
                        write!(
                            self.out,
                            "@interpolate({}, {}) ",
                            interpolation_str(
                                interpolation.unwrap_or(crate::Interpolation::Perspective)
                            ),
                            sampling_str(sampling.unwrap_or(crate::Sampling::Center))
                        )?;
                    } else if interpolation.is_some()
                        && interpolation != Some(crate::Interpolation::Perspective)
                    {
                        write!(
                            self.out,
                            "@interpolate({}) ",
                            interpolation_str(
                                interpolation.unwrap_or(crate::Interpolation::Perspective)
                            )
                        )?;
                    }
                }
            };
        }
        Ok(())
    }

    /// Helper method used to write structs
    ///
    /// # Notes
    /// Ends in a newline
    fn write_struct(
        &mut self,
        module: &Module,
        handle: Handle<crate::Type>,
        members: &[crate::StructMember],
    ) -> BackendResult {
        write!(self.out, "struct ")?;
        self.write_struct_name(module, handle)?;
        write!(self.out, " {{")?;
        writeln!(self.out)?;
        for (index, member) in members.iter().enumerate() {
            // Skip struct member with unsupported built in
            if let Some(crate::Binding::BuiltIn(built_in)) = member.binding {
                if builtin_str(built_in).is_none() {
                    log::warn!("Skip member with unsupported builtin {:?}", built_in);
                    continue;
                }
            }

            // The indentation is only for readability
            write!(self.out, "{}", back::INDENT)?;
            if let Some(ref binding) = member.binding {
                self.write_attributes(&map_binding_to_attribute(
                    binding,
                    module.types[member.ty].inner.scalar_kind(),
                ))?;
            }
            // Write struct member name and type
            let member_name = &self.names[&NameKey::StructMember(handle, index as u32)];
            write!(self.out, "{}: ", member_name)?;
            self.write_type(module, member.ty)?;
            write!(self.out, ",")?;
            writeln!(self.out)?;
        }

        write!(self.out, "}}")?;

        writeln!(self.out)?;

        Ok(())
    }

    /// Helper method used to write non image/sampler types
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    fn write_type(&mut self, module: &Module, ty: Handle<crate::Type>) -> BackendResult {
        let inner = &module.types[ty].inner;
        match *inner {
            TypeInner::Struct { .. } => self.write_struct_name(module, ty)?,
            ref other => self.write_value_type(module, other)?,
        }

        Ok(())
    }

    /// Helper method used to write value types
    ///
    /// # Notes
    /// Adds no trailing or leading whitespace
    fn write_value_type(&mut self, module: &Module, inner: &TypeInner) -> BackendResult {
        match *inner {
            TypeInner::Vector { size, kind, .. } => write!(
                self.out,
                "vec{}<{}>",
                back::vector_size_str(size),
                scalar_kind_str(kind),
            )?,
            TypeInner::Sampler { comparison: false } => {
                write!(self.out, "sampler")?;
            }
            TypeInner::Sampler { comparison: true } => {
                write!(self.out, "sampler_comparison")?;
            }
            TypeInner::Image {
                dim,
                arrayed,
                class,
            } => {
                // More about texture types: https://gpuweb.github.io/gpuweb/wgsl/#sampled-texture-type
                use crate::ImageClass as Ic;

                let dim_str = image_dimension_str(dim);
                let arrayed_str = if arrayed { "_array" } else { "" };
                let (class_str, multisampled_str, format_str, storage_str) = match class {
                    Ic::Sampled { kind, multi } => (
                        "",
                        if multi { "multisampled_" } else { "" },
                        scalar_kind_str(kind),
                        "",
                    ),
                    Ic::Depth { multi } => {
                        ("depth_", if multi { "multisampled_" } else { "" }, "", "")
                    }
                    Ic::Storage { format, access } => (
                        "storage_",
                        "",
                        storage_format_str(format),
                        if access.contains(crate::StorageAccess::LOAD | crate::StorageAccess::STORE)
                        {
                            ",read_write"
                        } else if access.contains(crate::StorageAccess::LOAD) {
                            ",read"
                        } else {
                            ",write"
                        },
                    ),
                };
                write!(
                    self.out,
                    "texture_{}{}{}{}",
                    class_str, multisampled_str, dim_str, arrayed_str
                )?;

                if !format_str.is_empty() {
                    write!(self.out, "<{}{}>", format_str, storage_str)?;
                }
            }
            TypeInner::Scalar { kind, .. } => {
                write!(self.out, "{}", scalar_kind_str(kind))?;
            }
            TypeInner::Atomic { kind, .. } => {
                write!(self.out, "atomic<{}>", scalar_kind_str(kind))?;
            }
            TypeInner::Array {
                base,
                size,
                stride: _,
            } => {
                // More info https://gpuweb.github.io/gpuweb/wgsl/#array-types
                // array<A, 3> -- Constant array
                // array<A> -- Dynamic array
                write!(self.out, "array<")?;
                match size {
                    crate::ArraySize::Constant(handle) => {
                        self.write_type(module, base)?;
                        write!(self.out, ",")?;
                        self.write_constant(module, handle)?;
                    }
                    crate::ArraySize::Dynamic => {
                        self.write_type(module, base)?;
                    }
                }
                write!(self.out, ">")?;
            }
            TypeInner::BindingArray { base, size } => {
                // More info https://github.com/gpuweb/gpuweb/issues/2105
                write!(self.out, "binding_array<")?;
                match size {
                    crate::ArraySize::Constant(handle) => {
                        self.write_type(module, base)?;
                        write!(self.out, ",")?;
                        self.write_constant(module, handle)?;
                    }
                    crate::ArraySize::Dynamic => {
                        self.write_type(module, base)?;
                    }
                }
                write!(self.out, ">")?;
            }
            TypeInner::Matrix {
                columns,
                rows,
                width: _,
            } => {
                write!(
                    self.out,
                    //TODO: Can matrix be other than f32?
                    "mat{}x{}<f32>",
                    back::vector_size_str(columns),
                    back::vector_size_str(rows),
                )?;
            }
            TypeInner::Pointer { base, space } => {
                let (address, maybe_access) = address_space_str(space);
                // Everything but `AddressSpace::Handle` gives us a `address` name, but
                // Naga IR never produces pointers to handles, so it doesn't matter much
                // how we write such a type. Just write it as the base type alone.
                if let Some(space) = address {
                    write!(self.out, "ptr<{}, ", space)?;
                }
                self.write_type(module, base)?;
                if address.is_some() {
                    if let Some(access) = maybe_access {
                        write!(self.out, ", {}", access)?;
                    }
                    write!(self.out, ">")?;
                }
            }
            TypeInner::ValuePointer {
                size: None,
                kind,
                width: _,
                space,
            } => {
                let (address, maybe_access) = address_space_str(space);
                if let Some(space) = address {
                    write!(self.out, "ptr<{}, {}", space, scalar_kind_str(kind))?;
                    if let Some(access) = maybe_access {
                        write!(self.out, ", {}", access)?;
                    }
                    write!(self.out, ">")?;
                } else {
                    return Err(Error::Unimplemented(format!(
                        "ValuePointer to AddressSpace::Handle {:?}",
                        inner
                    )));
                }
            }
            TypeInner::ValuePointer {
                size: Some(size),
                kind,
                width: _,
                space,
            } => {
                let (address, maybe_access) = address_space_str(space);
                if let Some(space) = address {
                    write!(
                        self.out,
                        "ptr<{}, vec{}<{}>",
                        space,
                        back::vector_size_str(size),
                        scalar_kind_str(kind)
                    )?;
                    if let Some(access) = maybe_access {
                        write!(self.out, ", {}", access)?;
                    }
                    write!(self.out, ">")?;
                } else {
                    return Err(Error::Unimplemented(format!(
                        "ValuePointer to AddressSpace::Handle {:?}",
                        inner
                    )));
                }
                write!(self.out, ">")?;
            }
            _ => {
                return Err(Error::Unimplemented(format!(
                    "write_value_type {:?}",
                    inner
                )));
            }
        }

        Ok(())
    }
    /// Helper method used to write statements
    ///
    /// # Notes
    /// Always adds a newline
    fn write_stmt(
        &mut self,
        module: &Module,
        stmt: &crate::Statement,
        func_ctx: &back::FunctionCtx<'_>,
        level: back::Level,
    ) -> BackendResult {
        use crate::{Expression, Statement};

        match *stmt {
            Statement::Emit(ref range) => {
                for handle in range.clone() {
                    let info = &func_ctx.info[handle];
                    let expr_name = if let Some(name) = func_ctx.named_expressions.get(&handle) {
                        // Front end provides names for all variables at the start of writing.
                        // But we write them to step by step. We need to recache them
                        // Otherwise, we could accidentally write variable name instead of full expression.
                        // Also, we use sanitized names! It defense backend from generating variable with name from reserved keywords.
                        Some(self.namer.call(name))
                    } else if info.ref_count == 0 {
                        write!(self.out, "{}_ = ", level)?;
                        self.write_expr(module, handle, func_ctx)?;
                        writeln!(self.out, ";")?;
                        continue;
                    } else {
                        let expr = &func_ctx.expressions[handle];
                        let min_ref_count = expr.bake_ref_count();
                        // Forcefully creating baking expressions in some cases to help with readability
                        let required_baking_expr = match *expr {
                            Expression::ImageLoad { .. }
                            | Expression::ImageQuery { .. }
                            | Expression::ImageSample { .. } => true,
                            _ => false,
                        };
                        if min_ref_count <= info.ref_count || required_baking_expr {
                            // If expression contains unsupported builtin we should skip it
                            if let Expression::Load { pointer } = func_ctx.expressions[handle] {
                                if let Expression::AccessIndex { base, index } =
                                    func_ctx.expressions[pointer]
                                {
                                    if access_to_unsupported_builtin(
                                        base,
                                        index,
                                        module,
                                        func_ctx.info,
                                    ) {
                                        return Ok(());
                                    }
                                }
                            }

                            Some(format!("{}{}", back::BAKE_PREFIX, handle.index()))
                        } else {
                            None
                        }
                    };

                    if let Some(name) = expr_name {
                        write!(self.out, "{}", level)?;
                        self.start_named_expr(module, handle, func_ctx, &name)?;
                        self.write_expr(module, handle, func_ctx)?;
                        self.named_expressions.insert(handle, name);
                        writeln!(self.out, ";")?;
                    }
                }
            }
            // TODO: copy-paste from glsl-out
            Statement::If {
                condition,
                ref accept,
                ref reject,
            } => {
                write!(self.out, "{}", level)?;
                write!(self.out, "if ")?;
                self.write_expr(module, condition, func_ctx)?;
                writeln!(self.out, " {{")?;

                let l2 = level.next();
                for sta in accept {
                    // Increase indentation to help with readability
                    self.write_stmt(module, sta, func_ctx, l2)?;
                }

                // If there are no statements in the reject block we skip writing it
                // This is only for readability
                if !reject.is_empty() {
                    writeln!(self.out, "{}}} else {{", level)?;

                    for sta in reject {
                        // Increase indentation to help with readability
                        self.write_stmt(module, sta, func_ctx, l2)?;
                    }
                }

                writeln!(self.out, "{}}}", level)?
            }
            Statement::Return { value } => {
                write!(self.out, "{}", level)?;
                write!(self.out, "return")?;
                if let Some(return_value) = value {
                    // The leading space is important
                    write!(self.out, " ")?;
                    self.write_expr(module, return_value, func_ctx)?;
                }
                writeln!(self.out, ";")?;
            }
            // TODO: copy-paste from glsl-out
            Statement::Kill => {
                write!(self.out, "{}", level)?;
                writeln!(self.out, "discard;")?
            }
            Statement::Store { pointer, value } => {
                // WGSL does not support all SPIR-V builtins and we should skip it in generated shaders.
                // We already skip them when we generate struct type.
                // Now we need to find expression that used struct with ignored builtins
                if let Expression::AccessIndex { base, index } = func_ctx.expressions[pointer] {
                    if access_to_unsupported_builtin(base, index, module, func_ctx.info) {
                        return Ok(());
                    }
                }
                write!(self.out, "{}", level)?;

                let is_atomic = match *func_ctx.info[pointer].ty.inner_with(&module.types) {
                    crate::TypeInner::Pointer { base, .. } => match module.types[base].inner {
                        crate::TypeInner::Atomic { .. } => true,
                        _ => false,
                    },
                    _ => false,
                };
                if is_atomic {
                    write!(self.out, "atomicStore(")?;
                    self.write_expr(module, pointer, func_ctx)?;
                    write!(self.out, ", ")?;
                    self.write_expr(module, value, func_ctx)?;
                    write!(self.out, ")")?;
                } else {
                    self.write_expr_with_indirection(
                        module,
                        pointer,
                        func_ctx,
                        Indirection::Reference,
                    )?;
                    write!(self.out, " = ")?;
                    self.write_expr(module, value, func_ctx)?;
                }
                writeln!(self.out, ";")?
            }
            Statement::Call {
                function,
                ref arguments,
                result,
            } => {
                write!(self.out, "{}", level)?;
                if let Some(expr) = result {
                    let name = format!("{}{}", back::BAKE_PREFIX, expr.index());
                    self.start_named_expr(module, expr, func_ctx, &name)?;
                    self.named_expressions.insert(expr, name);
                }
                let func_name = &self.names[&NameKey::Function(function)];
                write!(self.out, "{}(", func_name)?;
                for (index, &argument) in arguments.iter().enumerate() {
                    self.write_expr(module, argument, func_ctx)?;
                    // Only write a comma if isn't the last element
                    if index != arguments.len().saturating_sub(1) {
                        // The leading space is for readability only
                        write!(self.out, ", ")?;
                    }
                }
                writeln!(self.out, ");")?
            }
            Statement::Atomic {
                pointer,
                ref fun,
                value,
                result,
            } => {
                write!(self.out, "{}", level)?;
                let res_name = format!("{}{}", back::BAKE_PREFIX, result.index());
                self.start_named_expr(module, result, func_ctx, &res_name)?;
                self.named_expressions.insert(result, res_name);

                let fun_str = fun.to_wgsl();
                write!(self.out, "atomic{}(", fun_str)?;
                self.write_expr(module, pointer, func_ctx)?;
                if let crate::AtomicFunction::Exchange { compare: Some(cmp) } = *fun {
                    write!(self.out, ", ")?;
                    self.write_expr(module, cmp, func_ctx)?;
                }
                write!(self.out, ", ")?;
                self.write_expr(module, value, func_ctx)?;
                writeln!(self.out, ");")?
            }
            Statement::ImageStore {
                image,
                coordinate,
                array_index,
                value,
            } => {
                write!(self.out, "{}", level)?;
                write!(self.out, "textureStore(")?;
                self.write_expr(module, image, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, coordinate, func_ctx)?;
                if let Some(array_index_expr) = array_index {
                    write!(self.out, ", ")?;
                    self.write_expr(module, array_index_expr, func_ctx)?;
                }
                write!(self.out, ", ")?;
                self.write_expr(module, value, func_ctx)?;
                writeln!(self.out, ");")?;
            }
            // TODO: copy-paste from glsl-out
            Statement::Block(ref block) => {
                write!(self.out, "{}", level)?;
                writeln!(self.out, "{{")?;
                for sta in block.iter() {
                    // Increase the indentation to help with readability
                    self.write_stmt(module, sta, func_ctx, level.next())?
                }
                writeln!(self.out, "{}}}", level)?
            }
            Statement::Switch {
                selector,
                ref cases,
            } => {
                // Start the switch
                write!(self.out, "{}", level)?;
                write!(self.out, "switch ")?;
                self.write_expr(module, selector, func_ctx)?;
                writeln!(self.out, " {{")?;

                let type_postfix = match *func_ctx.info[selector].ty.inner_with(&module.types) {
                    crate::TypeInner::Scalar {
                        kind: crate::ScalarKind::Uint,
                        ..
                    } => "u",
                    _ => "",
                };

                let l2 = level.next();
                if !cases.is_empty() {
                    for case in cases {
                        match case.value {
                            crate::SwitchValue::Integer(value) => {
                                writeln!(self.out, "{}case {}{}: {{", l2, value, type_postfix)?;
                            }
                            crate::SwitchValue::Default => {
                                writeln!(self.out, "{}default: {{", l2)?;
                            }
                        }

                        for sta in case.body.iter() {
                            self.write_stmt(module, sta, func_ctx, l2.next())?;
                        }

                        if case.fall_through {
                            writeln!(self.out, "{}fallthrough;", l2.next())?;
                        }

                        writeln!(self.out, "{}}}", l2)?;
                    }
                }

                writeln!(self.out, "{}}}", level)?
            }
            Statement::Loop {
                ref body,
                ref continuing,
                break_if,
            } => {
                write!(self.out, "{}", level)?;
                writeln!(self.out, "loop {{")?;

                let l2 = level.next();
                for sta in body.iter() {
                    self.write_stmt(module, sta, func_ctx, l2)?;
                }

                // The continuing is optional so we don't need to write it if
                // it is empty, but the `break if` counts as a continuing statement
                // so even if `continuing` is empty we must generate it if a
                // `break if` exists
                if !continuing.is_empty() || break_if.is_some() {
                    writeln!(self.out, "{}continuing {{", l2)?;
                    for sta in continuing.iter() {
                        self.write_stmt(module, sta, func_ctx, l2.next())?;
                    }

                    // The `break if` is always the last
                    // statement of the `continuing` block
                    if let Some(condition) = break_if {
                        // The trailing space is important
                        write!(self.out, "{}break if ", l2.next())?;
                        self.write_expr(module, condition, func_ctx)?;
                        // Close the `break if` statement
                        writeln!(self.out, ";")?;
                    }

                    writeln!(self.out, "{}}}", l2)?;
                }

                writeln!(self.out, "{}}}", level)?
            }
            Statement::Break => {
                writeln!(self.out, "{}break;", level)?;
            }
            Statement::Continue => {
                writeln!(self.out, "{}continue;", level)?;
            }
            Statement::Barrier(barrier) => {
                if barrier.contains(crate::Barrier::STORAGE) {
                    writeln!(self.out, "{}storageBarrier();", level)?;
                }

                if barrier.contains(crate::Barrier::WORK_GROUP) {
                    writeln!(self.out, "{}workgroupBarrier();", level)?;
                }
            }
        }

        Ok(())
    }

    /// Return the sort of indirection that `expr`'s plain form evaluates to.
    ///
    /// An expression's 'plain form' is the most general rendition of that
    /// expression into WGSL, lacking `&` or `*` operators:
    ///
    /// - The plain form of `LocalVariable(x)` is simply `x`, which is a reference
    ///   to the local variable's storage.
    ///
    /// - The plain form of `GlobalVariable(g)` is simply `g`, which is usually a
    ///   reference to the global variable's storage. However, globals in the
    ///   `Handle` address space are immutable, and `GlobalVariable` expressions for
    ///   those produce the value directly, not a pointer to it. Such
    ///   `GlobalVariable` expressions are `Ordinary`.
    ///
    /// - `Access` and `AccessIndex` are `Reference` when their `base` operand is a
    ///   pointer. If they are applied directly to a composite value, they are
    ///   `Ordinary`.
    ///
    /// Note that `FunctionArgument` expressions are never `Reference`, even when
    /// the argument's type is `Pointer`. `FunctionArgument` always evaluates to the
    /// argument's value directly, so any pointer it produces is merely the value
    /// passed by the caller.
    fn plain_form_indirection(
        &self,
        expr: Handle<crate::Expression>,
        module: &Module,
        func_ctx: &back::FunctionCtx<'_>,
    ) -> Indirection {
        use crate::Expression as Ex;

        // Named expressions are `let` expressions, which apply the Load Rule,
        // so if their type is a Naga pointer, then that must be a WGSL pointer
        // as well.
        if self.named_expressions.contains_key(&expr) {
            return Indirection::Ordinary;
        }

        match func_ctx.expressions[expr] {
            Ex::LocalVariable(_) => Indirection::Reference,
            Ex::GlobalVariable(handle) => {
                let global = &module.global_variables[handle];
                match global.space {
                    crate::AddressSpace::Handle => Indirection::Ordinary,
                    _ => Indirection::Reference,
                }
            }
            Ex::Access { base, .. } | Ex::AccessIndex { base, .. } => {
                let base_ty = func_ctx.info[base].ty.inner_with(&module.types);
                match *base_ty {
                    crate::TypeInner::Pointer { .. } | crate::TypeInner::ValuePointer { .. } => {
                        Indirection::Reference
                    }
                    _ => Indirection::Ordinary,
                }
            }
            _ => Indirection::Ordinary,
        }
    }

    fn start_named_expr(
        &mut self,
        module: &Module,
        handle: Handle<crate::Expression>,
        func_ctx: &back::FunctionCtx,
        name: &str,
    ) -> BackendResult {
        // Write variable name
        write!(self.out, "let {}", name)?;
        if self.flags.contains(WriterFlags::EXPLICIT_TYPES) {
            write!(self.out, ": ")?;
            let ty = &func_ctx.info[handle].ty;
            // Write variable type
            match *ty {
                proc::TypeResolution::Handle(handle) => {
                    self.write_type(module, handle)?;
                }
                proc::TypeResolution::Value(ref inner) => {
                    self.write_value_type(module, inner)?;
                }
            }
        }

        write!(self.out, " = ")?;
        Ok(())
    }

    /// Write the ordinary WGSL form of `expr`.
    ///
    /// See `write_expr_with_indirection` for details.
    fn write_expr(
        &mut self,
        module: &Module,
        expr: Handle<crate::Expression>,
        func_ctx: &back::FunctionCtx<'_>,
    ) -> BackendResult {
        self.write_expr_with_indirection(module, expr, func_ctx, Indirection::Ordinary)
    }

    /// Write `expr` as a WGSL expression with the requested indirection.
    ///
    /// In terms of the WGSL grammar, the resulting expression is a
    /// `singular_expression`. It may be parenthesized. This makes it suitable
    /// for use as the operand of a unary or binary operator without worrying
    /// about precedence.
    ///
    /// This does not produce newlines or indentation.
    ///
    /// The `requested` argument indicates (roughly) whether Naga
    /// `Pointer`-valued expressions represent WGSL references or pointers. See
    /// `Indirection` for details.
    fn write_expr_with_indirection(
        &mut self,
        module: &Module,
        expr: Handle<crate::Expression>,
        func_ctx: &back::FunctionCtx<'_>,
        requested: Indirection,
    ) -> BackendResult {
        // If the plain form of the expression is not what we need, emit the
        // operator necessary to correct that.
        let plain = self.plain_form_indirection(expr, module, func_ctx);
        match (requested, plain) {
            (Indirection::Ordinary, Indirection::Reference) => {
                write!(self.out, "(&")?;
                self.write_expr_plain_form(module, expr, func_ctx, plain)?;
                write!(self.out, ")")?;
            }
            (Indirection::Reference, Indirection::Ordinary) => {
                write!(self.out, "(*")?;
                self.write_expr_plain_form(module, expr, func_ctx, plain)?;
                write!(self.out, ")")?;
            }
            (_, _) => self.write_expr_plain_form(module, expr, func_ctx, plain)?,
        }

        Ok(())
    }

    /// Write the 'plain form' of `expr`.
    ///
    /// An expression's 'plain form' is the most general rendition of that
    /// expression into WGSL, lacking `&` or `*` operators. The plain forms of
    /// `LocalVariable(x)` and `GlobalVariable(g)` are simply `x` and `g`. Such
    /// Naga expressions represent both WGSL pointers and references; it's the
    /// caller's responsibility to distinguish those cases appropriately.
    fn write_expr_plain_form(
        &mut self,
        module: &Module,
        expr: Handle<crate::Expression>,
        func_ctx: &back::FunctionCtx<'_>,
        indirection: Indirection,
    ) -> BackendResult {
        use crate::Expression;

        if let Some(name) = self.named_expressions.get(&expr) {
            write!(self.out, "{}", name)?;
            return Ok(());
        }

        let expression = &func_ctx.expressions[expr];

        // Write the plain WGSL form of a Naga expression.
        //
        // The plain form of `LocalVariable` and `GlobalVariable` expressions is
        // simply the variable name; `*` and `&` operators are never emitted.
        //
        // The plain form of `Access` and `AccessIndex` expressions are WGSL
        // `postfix_expression` forms for member/component access and
        // subscripting.
        match *expression {
            Expression::Constant(constant) => self.write_constant(module, constant)?,
            Expression::Compose { ty, ref components } => {
                self.write_type(module, ty)?;
                write!(self.out, "(")?;
                // !spv-in specific notes!
                // WGSL does not support all SPIR-V builtins and we should skip it in generated shaders.
                // We already skip them when we generate struct type.
                // Now we need to find components that used struct with ignored builtins.

                // So, why we can't just return the error to a user?
                // We can, but otherwise, we can't generate WGSL shader from any glslang SPIR-V shaders.
                // glslang generates gl_PerVertex struct with gl_CullDistance, gl_ClipDistance and gl_PointSize builtin inside by default.
                // All of them are not supported by WGSL.

                // We need to copy components to another vec because we don't know which of them we should write.
                let mut components_to_write = Vec::with_capacity(components.len());
                for component in components {
                    let mut skip_component = false;
                    if let Expression::Load { pointer } = func_ctx.expressions[*component] {
                        if let Expression::AccessIndex { base, index } =
                            func_ctx.expressions[pointer]
                        {
                            if access_to_unsupported_builtin(base, index, module, func_ctx.info) {
                                skip_component = true;
                            }
                        }
                    }
                    if skip_component {
                        continue;
                    } else {
                        components_to_write.push(*component);
                    }
                }

                // non spv-in specific notes!
                // Real `Expression::Compose` logic generates here.
                for (index, component) in components_to_write.iter().enumerate() {
                    self.write_expr(module, *component, func_ctx)?;
                    // Only write a comma if isn't the last element
                    if index != components_to_write.len().saturating_sub(1) {
                        // The leading space is for readability only
                        write!(self.out, ", ")?;
                    }
                }
                write!(self.out, ")")?
            }
            Expression::FunctionArgument(pos) => {
                let name_key = func_ctx.argument_key(pos);
                let name = &self.names[&name_key];
                write!(self.out, "{}", name)?;
            }
            Expression::Binary { op, left, right } => {
                write!(self.out, "(")?;
                self.write_expr(module, left, func_ctx)?;
                write!(self.out, " {} ", back::binary_operation_str(op))?;
                self.write_expr(module, right, func_ctx)?;
                write!(self.out, ")")?;
            }
            Expression::Access { base, index } => {
                self.write_expr_with_indirection(module, base, func_ctx, indirection)?;
                write!(self.out, "[")?;
                self.write_expr(module, index, func_ctx)?;
                write!(self.out, "]")?
            }
            Expression::AccessIndex { base, index } => {
                let base_ty_res = &func_ctx.info[base].ty;
                let mut resolved = base_ty_res.inner_with(&module.types);

                self.write_expr_with_indirection(module, base, func_ctx, indirection)?;

                let base_ty_handle = match *resolved {
                    TypeInner::Pointer { base, space: _ } => {
                        resolved = &module.types[base].inner;
                        Some(base)
                    }
                    _ => base_ty_res.handle(),
                };

                match *resolved {
                    TypeInner::Vector { .. } => {
                        // Write vector access as a swizzle
                        write!(self.out, ".{}", back::COMPONENTS[index as usize])?
                    }
                    TypeInner::Matrix { .. }
                    | TypeInner::Array { .. }
                    | TypeInner::BindingArray { .. }
                    | TypeInner::ValuePointer { .. } => write!(self.out, "[{}]", index)?,
                    TypeInner::Struct { .. } => {
                        // This will never panic in case the type is a `Struct`, this is not true
                        // for other types so we can only check while inside this match arm
                        let ty = base_ty_handle.unwrap();

                        write!(
                            self.out,
                            ".{}",
                            &self.names[&NameKey::StructMember(ty, index)]
                        )?
                    }
                    ref other => return Err(Error::Custom(format!("Cannot index {:?}", other))),
                }
            }
            Expression::ImageSample {
                image,
                sampler,
                gather: None,
                coordinate,
                array_index,
                offset,
                level,
                depth_ref,
            } => {
                use crate::SampleLevel as Sl;

                let suffix_cmp = match depth_ref {
                    Some(_) => "Compare",
                    None => "",
                };
                let suffix_level = match level {
                    Sl::Auto => "",
                    Sl::Zero | Sl::Exact(_) => "Level",
                    Sl::Bias(_) => "Bias",
                    Sl::Gradient { .. } => "Grad",
                };

                write!(self.out, "textureSample{}{}(", suffix_cmp, suffix_level)?;
                self.write_expr(module, image, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, sampler, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, coordinate, func_ctx)?;

                if let Some(array_index) = array_index {
                    write!(self.out, ", ")?;
                    self.write_expr(module, array_index, func_ctx)?;
                }

                if let Some(depth_ref) = depth_ref {
                    write!(self.out, ", ")?;
                    self.write_expr(module, depth_ref, func_ctx)?;
                }

                match level {
                    Sl::Auto => {}
                    Sl::Zero => {
                        // Level 0 is implied for depth comparison
                        if depth_ref.is_none() {
                            write!(self.out, ", 0.0")?;
                        }
                    }
                    Sl::Exact(expr) => {
                        write!(self.out, ", ")?;
                        self.write_expr(module, expr, func_ctx)?;
                    }
                    Sl::Bias(expr) => {
                        write!(self.out, ", ")?;
                        self.write_expr(module, expr, func_ctx)?;
                    }
                    Sl::Gradient { x, y } => {
                        write!(self.out, ", ")?;
                        self.write_expr(module, x, func_ctx)?;
                        write!(self.out, ", ")?;
                        self.write_expr(module, y, func_ctx)?;
                    }
                }

                if let Some(offset) = offset {
                    write!(self.out, ", ")?;
                    self.write_constant(module, offset)?;
                }

                write!(self.out, ")")?;
            }
            Expression::ImageSample {
                image,
                sampler,
                gather: Some(component),
                coordinate,
                array_index,
                offset,
                level: _,
                depth_ref,
            } => {
                let suffix_cmp = match depth_ref {
                    Some(_) => "Compare",
                    None => "",
                };

                write!(self.out, "textureGather{}(", suffix_cmp)?;
                match *func_ctx.info[image].ty.inner_with(&module.types) {
                    TypeInner::Image {
                        class: crate::ImageClass::Depth { multi: _ },
                        ..
                    } => {}
                    _ => {
                        write!(self.out, "{}, ", component as u8)?;
                    }
                }
                self.write_expr(module, image, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, sampler, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, coordinate, func_ctx)?;

                if let Some(array_index) = array_index {
                    write!(self.out, ", ")?;
                    self.write_expr(module, array_index, func_ctx)?;
                }

                if let Some(depth_ref) = depth_ref {
                    write!(self.out, ", ")?;
                    self.write_expr(module, depth_ref, func_ctx)?;
                }

                if let Some(offset) = offset {
                    write!(self.out, ", ")?;
                    self.write_constant(module, offset)?;
                }

                write!(self.out, ")")?;
            }
            Expression::ImageQuery { image, query } => {
                use crate::ImageQuery as Iq;

                let texture_function = match query {
                    Iq::Size { .. } => "textureDimensions",
                    Iq::NumLevels => "textureNumLevels",
                    Iq::NumLayers => "textureNumLayers",
                    Iq::NumSamples => "textureNumSamples",
                };

                write!(self.out, "{}(", texture_function)?;
                self.write_expr(module, image, func_ctx)?;
                if let Iq::Size { level: Some(level) } = query {
                    write!(self.out, ", ")?;
                    self.write_expr(module, level, func_ctx)?;
                };
                write!(self.out, ")")?;
            }
            Expression::ImageLoad {
                image,
                coordinate,
                array_index,
                sample,
                level,
            } => {
                write!(self.out, "textureLoad(")?;
                self.write_expr(module, image, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, coordinate, func_ctx)?;
                if let Some(array_index) = array_index {
                    write!(self.out, ", ")?;
                    self.write_expr(module, array_index, func_ctx)?;
                }
                if let Some(index) = sample.or(level) {
                    write!(self.out, ", ")?;
                    self.write_expr(module, index, func_ctx)?;
                }
                write!(self.out, ")")?;
            }
            Expression::GlobalVariable(handle) => {
                let name = &self.names[&NameKey::GlobalVariable(handle)];
                write!(self.out, "{}", name)?;
            }
            Expression::As {
                expr,
                kind,
                convert,
            } => {
                let inner = func_ctx.info[expr].ty.inner_with(&module.types);
                match *inner {
                    TypeInner::Matrix { columns, rows, .. } => {
                        write!(
                            self.out,
                            "mat{}x{}<f32>",
                            back::vector_size_str(columns),
                            back::vector_size_str(rows)
                        )?;
                    }
                    TypeInner::Vector { size, .. } => {
                        let vector_size_str = back::vector_size_str(size);
                        let scalar_kind_str = scalar_kind_str(kind);
                        if convert.is_some() {
                            write!(self.out, "vec{}<{}>", vector_size_str, scalar_kind_str)?;
                        } else {
                            write!(
                                self.out,
                                "bitcast<vec{}<{}>>",
                                vector_size_str, scalar_kind_str
                            )?;
                        }
                    }
                    TypeInner::Scalar { .. } => {
                        if convert.is_some() {
                            write!(self.out, "{}", scalar_kind_str(kind))?
                        } else {
                            write!(self.out, "bitcast<{}>", scalar_kind_str(kind))?
                        }
                    }
                    _ => {
                        return Err(Error::Unimplemented(format!(
                            "write_expr expression::as {:?}",
                            inner
                        )));
                    }
                };
                write!(self.out, "(")?;
                self.write_expr(module, expr, func_ctx)?;
                write!(self.out, ")")?;
            }
            Expression::Splat { size, value } => {
                let inner = func_ctx.info[value].ty.inner_with(&module.types);
                let scalar_kind = match *inner {
                    crate::TypeInner::Scalar { kind, .. } => kind,
                    _ => {
                        return Err(Error::Unimplemented(format!(
                            "write_expr expression::splat {:?}",
                            inner
                        )));
                    }
                };
                let scalar = scalar_kind_str(scalar_kind);
                let size = back::vector_size_str(size);

                write!(self.out, "vec{}<{}>(", size, scalar)?;
                self.write_expr(module, value, func_ctx)?;
                write!(self.out, ")")?;
            }
            Expression::Load { pointer } => {
                let is_atomic = match *func_ctx.info[pointer].ty.inner_with(&module.types) {
                    crate::TypeInner::Pointer { base, .. } => match module.types[base].inner {
                        crate::TypeInner::Atomic { .. } => true,
                        _ => false,
                    },
                    _ => false,
                };

                if is_atomic {
                    write!(self.out, "atomicLoad(")?;
                    self.write_expr(module, pointer, func_ctx)?;
                    write!(self.out, ")")?;
                } else {
                    self.write_expr_with_indirection(
                        module,
                        pointer,
                        func_ctx,
                        Indirection::Reference,
                    )?;
                }
            }
            Expression::LocalVariable(handle) => {
                write!(self.out, "{}", self.names[&func_ctx.name_key(handle)])?
            }
            Expression::ArrayLength(expr) => {
                write!(self.out, "arrayLength(")?;
                self.write_expr(module, expr, func_ctx)?;
                write!(self.out, ")")?;
            }
            Expression::Math {
                fun,
                arg,
                arg1,
                arg2,
                arg3,
            } => {
                use crate::MathFunction as Mf;

                enum Function {
                    Asincosh { is_sin: bool },
                    Atanh,
                    Regular(&'static str),
                }

                // NOTE: If https://github.com/gpuweb/gpuweb/issues/1622 ever is
                // accepted, replace this with the builtin functions
                let function = match fun {
                    Mf::Abs => Function::Regular("abs"),
                    Mf::Min => Function::Regular("min"),
                    Mf::Max => Function::Regular("max"),
                    Mf::Clamp => Function::Regular("clamp"),
                    Mf::Saturate => Function::Regular("saturate"),
                    // trigonometry
                    Mf::Cos => Function::Regular("cos"),
                    Mf::Cosh => Function::Regular("cosh"),
                    Mf::Sin => Function::Regular("sin"),
                    Mf::Sinh => Function::Regular("sinh"),
                    Mf::Tan => Function::Regular("tan"),
                    Mf::Tanh => Function::Regular("tanh"),
                    Mf::Acos => Function::Regular("acos"),
                    Mf::Asin => Function::Regular("asin"),
                    Mf::Atan => Function::Regular("atan"),
                    Mf::Atan2 => Function::Regular("atan2"),
                    Mf::Asinh => Function::Asincosh { is_sin: true },
                    Mf::Acosh => Function::Asincosh { is_sin: false },
                    Mf::Atanh => Function::Atanh,
                    Mf::Radians => Function::Regular("radians"),
                    Mf::Degrees => Function::Regular("degrees"),
                    // decomposition
                    Mf::Ceil => Function::Regular("ceil"),
                    Mf::Floor => Function::Regular("floor"),
                    Mf::Round => Function::Regular("round"),
                    Mf::Fract => Function::Regular("fract"),
                    Mf::Trunc => Function::Regular("trunc"),
                    Mf::Modf => Function::Regular("modf"),
                    Mf::Frexp => Function::Regular("frexp"),
                    Mf::Ldexp => Function::Regular("ldexp"),
                    // exponent
                    Mf::Exp => Function::Regular("exp"),
                    Mf::Exp2 => Function::Regular("exp2"),
                    Mf::Log => Function::Regular("log"),
                    Mf::Log2 => Function::Regular("log2"),
                    Mf::Pow => Function::Regular("pow"),
                    // geometry
                    Mf::Dot => Function::Regular("dot"),
                    Mf::Outer => Function::Regular("outerProduct"),
                    Mf::Cross => Function::Regular("cross"),
                    Mf::Distance => Function::Regular("distance"),
                    Mf::Length => Function::Regular("length"),
                    Mf::Normalize => Function::Regular("normalize"),
                    Mf::FaceForward => Function::Regular("faceForward"),
                    Mf::Reflect => Function::Regular("reflect"),
                    // computational
                    Mf::Sign => Function::Regular("sign"),
                    Mf::Fma => Function::Regular("fma"),
                    Mf::Mix => Function::Regular("mix"),
                    Mf::Step => Function::Regular("step"),
                    Mf::SmoothStep => Function::Regular("smoothstep"),
                    Mf::Sqrt => Function::Regular("sqrt"),
                    Mf::InverseSqrt => Function::Regular("inverseSqrt"),
                    Mf::Transpose => Function::Regular("transpose"),
                    Mf::Determinant => Function::Regular("determinant"),
                    // bits
                    Mf::CountOneBits => Function::Regular("countOneBits"),
                    Mf::ReverseBits => Function::Regular("reverseBits"),
                    Mf::ExtractBits => Function::Regular("extractBits"),
                    Mf::InsertBits => Function::Regular("insertBits"),
                    Mf::FindLsb => Function::Regular("firstTrailingBit"),
                    Mf::FindMsb => Function::Regular("firstLeadingBit"),
                    // data packing
                    Mf::Pack4x8snorm => Function::Regular("pack4x8snorm"),
                    Mf::Pack4x8unorm => Function::Regular("pack4x8unorm"),
                    Mf::Pack2x16snorm => Function::Regular("pack2x16snorm"),
                    Mf::Pack2x16unorm => Function::Regular("pack2x16unorm"),
                    Mf::Pack2x16float => Function::Regular("pack2x16float"),
                    // data unpacking
                    Mf::Unpack4x8snorm => Function::Regular("unpack4x8snorm"),
                    Mf::Unpack4x8unorm => Function::Regular("unpack4x8unorm"),
                    Mf::Unpack2x16snorm => Function::Regular("unpack2x16snorm"),
                    Mf::Unpack2x16unorm => Function::Regular("unpack2x16unorm"),
                    Mf::Unpack2x16float => Function::Regular("unpack2x16float"),
                    _ => {
                        return Err(Error::UnsupportedMathFunction(fun));
                    }
                };

                match function {
                    Function::Asincosh { is_sin } => {
                        write!(self.out, "log(")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, " + sqrt(")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, " * ")?;
                        self.write_expr(module, arg, func_ctx)?;
                        match is_sin {
                            true => write!(self.out, " + 1.0))")?,
                            false => write!(self.out, " - 1.0))")?,
                        }
                    }
                    Function::Atanh => {
                        write!(self.out, "0.5 * log((1.0 + ")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, ") / (1.0 - ")?;
                        self.write_expr(module, arg, func_ctx)?;
                        write!(self.out, "))")?;
                    }
                    Function::Regular(fun_name) => {
                        write!(self.out, "{}(", fun_name)?;
                        self.write_expr(module, arg, func_ctx)?;
                        if let Some(arg) = arg1 {
                            write!(self.out, ", ")?;
                            self.write_expr(module, arg, func_ctx)?;
                        }
                        if let Some(arg) = arg2 {
                            write!(self.out, ", ")?;
                            self.write_expr(module, arg, func_ctx)?;
                        }
                        if let Some(arg) = arg3 {
                            write!(self.out, ", ")?;
                            self.write_expr(module, arg, func_ctx)?;
                        }
                        write!(self.out, ")")?
                    }
                }
            }
            Expression::Swizzle {
                size,
                vector,
                pattern,
            } => {
                self.write_expr(module, vector, func_ctx)?;
                write!(self.out, ".")?;
                for &sc in pattern[..size as usize].iter() {
                    self.out.write_char(back::COMPONENTS[sc as usize])?;
                }
            }
            Expression::Unary { op, expr } => {
                let unary = match op {
                    crate::UnaryOperator::Negate => "-",
                    crate::UnaryOperator::Not => {
                        match *func_ctx.info[expr].ty.inner_with(&module.types) {
                            TypeInner::Scalar {
                                kind: crate::ScalarKind::Bool,
                                ..
                            }
                            | TypeInner::Vector { .. } => "!",
                            _ => "~",
                        }
                    }
                };

                write!(self.out, "{}(", unary)?;
                self.write_expr(module, expr, func_ctx)?;

                write!(self.out, ")")?
            }
            Expression::Select {
                condition,
                accept,
                reject,
            } => {
                write!(self.out, "select(")?;
                self.write_expr(module, reject, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, accept, func_ctx)?;
                write!(self.out, ", ")?;
                self.write_expr(module, condition, func_ctx)?;
                write!(self.out, ")")?
            }
            Expression::Derivative { axis, expr } => {
                use crate::DerivativeAxis as Da;

                let op = match axis {
                    Da::X => "dpdx",
                    Da::Y => "dpdy",
                    Da::Width => "fwidth",
                };
                write!(self.out, "{}(", op)?;
                self.write_expr(module, expr, func_ctx)?;
                write!(self.out, ")")?
            }
            Expression::Relational { fun, argument } => {
                use crate::RelationalFunction as Rf;

                let fun_name = match fun {
                    Rf::IsFinite => "isFinite",
                    Rf::IsNormal => "isNormal",
                    Rf::All => "all",
                    Rf::Any => "any",
                    _ => return Err(Error::UnsupportedRelationalFunction(fun)),
                };
                write!(self.out, "{}(", fun_name)?;

                self.write_expr(module, argument, func_ctx)?;

                write!(self.out, ")")?
            }
            // Nothing to do here, since call expression already cached
            Expression::CallResult(_) | Expression::AtomicResult { .. } => {}
        }

        Ok(())
    }

    /// Helper method used to write global variables
    /// # Notes
    /// Always adds a newline
    fn write_global(
        &mut self,
        module: &Module,
        global: &crate::GlobalVariable,
        handle: Handle<crate::GlobalVariable>,
    ) -> BackendResult {
        // Write group and binding attributes if present
        if let Some(ref binding) = global.binding {
            self.write_attributes(&[
                Attribute::Group(binding.group),
                Attribute::Binding(binding.binding),
            ])?;
            writeln!(self.out)?;
        }

        // First write global name and address space if supported
        write!(self.out, "var")?;
        let (address, maybe_access) = address_space_str(global.space);
        if let Some(space) = address {
            write!(self.out, "<{}", space)?;
            if let Some(access) = maybe_access {
                write!(self.out, ", {}", access)?;
            }
            write!(self.out, ">")?;
        }
        write!(
            self.out,
            " {}: ",
            &self.names[&NameKey::GlobalVariable(handle)]
        )?;

        // Write global type
        self.write_type(module, global.ty)?;

        // Write initializer
        if let Some(init) = global.init {
            write!(self.out, " = ")?;
            self.write_constant(module, init)?;
        }

        // End with semicolon
        writeln!(self.out, ";")?;

        Ok(())
    }

    /// Helper method used to write constants
    ///
    /// # Notes
    /// Doesn't add any newlines or leading/trailing spaces
    fn write_constant(
        &mut self,
        module: &Module,
        handle: Handle<crate::Constant>,
    ) -> BackendResult {
        let constant = &module.constants[handle];
        match constant.inner {
            crate::ConstantInner::Scalar {
                width: _,
                ref value,
            } => {
                if constant.name.is_some() {
                    write!(self.out, "{}", self.names[&NameKey::Constant(handle)])?;
                } else {
                    self.write_scalar_value(*value)?;
                }
            }
            crate::ConstantInner::Composite { ty, ref components } => {
                self.write_type(module, ty)?;
                write!(self.out, "(")?;

                let members = match module.types[ty].inner {
                    TypeInner::Struct { ref members, .. } => Some(members),
                    _ => None,
                };

                // Write the comma separated constants
                for (index, constant) in components.iter().enumerate() {
                    if let Some(&crate::Binding::BuiltIn(built_in)) =
                        members.and_then(|members| members.get(index)?.binding.as_ref())
                    {
                        if builtin_str(built_in).is_none() {
                            log::warn!(
                                "Skip constant for struct member with unsupported builtin {:?}",
                                built_in
                            );
                            continue;
                        }
                    }

                    self.write_constant(module, *constant)?;
                    // Only write a comma if isn't the last element
                    if index != components.len().saturating_sub(1) {
                        // The leading space is for readability only
                        write!(self.out, ", ")?;
                    }
                }
                write!(self.out, ")")?
            }
        }

        Ok(())
    }

    /// Helper method used to write global constants
    ///
    /// # Notes
    /// Ends in a newline
    fn write_global_constant(
        &mut self,
        module: &Module,
        inner: &crate::ConstantInner,
        handle: Handle<crate::Constant>,
    ) -> BackendResult {
        match *inner {
            crate::ConstantInner::Scalar {
                width: _,
                ref value,
            } => {
                let name = &self.names[&NameKey::Constant(handle)];
                // First write only constant name
                write!(self.out, "let {}: ", name)?;
                // Next write constant type and value
                match *value {
                    crate::ScalarValue::Sint(value) => {
                        write!(self.out, "i32 = {}", value)?;
                    }
                    crate::ScalarValue::Uint(value) => {
                        write!(self.out, "u32 = {}u", value)?;
                    }
                    crate::ScalarValue::Float(value) => {
                        // Floats are written using `Debug` instead of `Display` because it always appends the
                        // decimal part even it's zero
                        write!(self.out, "f32 = {:?}", value)?;
                    }
                    crate::ScalarValue::Bool(value) => {
                        write!(self.out, "bool = {}", value)?;
                    }
                };
                // End with semicolon
                writeln!(self.out, ";")?;
            }
            crate::ConstantInner::Composite { ty, ref components } => {
                let name = &self.names[&NameKey::Constant(handle)];
                // First write only constant name
                write!(self.out, "let {}: ", name)?;
                // Next write constant type
                self.write_type(module, ty)?;

                write!(self.out, " = ")?;
                self.write_type(module, ty)?;

                write!(self.out, "(")?;
                for (index, constant) in components.iter().enumerate() {
                    self.write_constant(module, *constant)?;
                    // Only write a comma if isn't the last element
                    if index != components.len().saturating_sub(1) {
                        // The leading space is for readability only
                        write!(self.out, ", ")?;
                    }
                }
                write!(self.out, ");")?;
            }
        }
        // End with extra newline for readability
        writeln!(self.out)?;
        Ok(())
    }

    // See https://github.com/rust-lang/rust-clippy/issues/4979.
    #[allow(clippy::missing_const_for_fn)]
    pub fn finish(self) -> W {
        self.out
    }
}

const fn builtin_str(built_in: crate::BuiltIn) -> Option<&'static str> {
    use crate::BuiltIn as Bi;

    match built_in {
        Bi::VertexIndex => Some("vertex_index"),
        Bi::InstanceIndex => Some("instance_index"),
        Bi::Position { .. } => Some("position"),
        Bi::FrontFacing => Some("front_facing"),
        Bi::FragDepth => Some("frag_depth"),
        Bi::LocalInvocationId => Some("local_invocation_id"),
        Bi::LocalInvocationIndex => Some("local_invocation_index"),
        Bi::GlobalInvocationId => Some("global_invocation_id"),
        Bi::WorkGroupId => Some("workgroup_id"),
        Bi::WorkGroupSize => Some("workgroup_size"),
        Bi::NumWorkGroups => Some("num_workgroups"),
        Bi::SampleIndex => Some("sample_index"),
        Bi::SampleMask => Some("sample_mask"),
        Bi::PrimitiveIndex => Some("primitive_index"),
        Bi::ViewIndex => Some("view_index"),
        _ => None,
    }
}

const fn image_dimension_str(dim: crate::ImageDimension) -> &'static str {
    use crate::ImageDimension as IDim;

    match dim {
        IDim::D1 => "1d",
        IDim::D2 => "2d",
        IDim::D3 => "3d",
        IDim::Cube => "cube",
    }
}

const fn scalar_kind_str(kind: crate::ScalarKind) -> &'static str {
    use crate::ScalarKind as Sk;

    match kind {
        Sk::Float => "f32",
        Sk::Sint => "i32",
        Sk::Uint => "u32",
        Sk::Bool => "bool",
    }
}

const fn storage_format_str(format: crate::StorageFormat) -> &'static str {
    use crate::StorageFormat as Sf;

    match format {
        Sf::R8Unorm => "r8unorm",
        Sf::R8Snorm => "r8snorm",
        Sf::R8Uint => "r8uint",
        Sf::R8Sint => "r8sint",
        Sf::R16Uint => "r16uint",
        Sf::R16Sint => "r16sint",
        Sf::R16Float => "r16float",
        Sf::Rg8Unorm => "rg8unorm",
        Sf::Rg8Snorm => "rg8snorm",
        Sf::Rg8Uint => "rg8uint",
        Sf::Rg8Sint => "rg8sint",
        Sf::R32Uint => "r32uint",
        Sf::R32Sint => "r32sint",
        Sf::R32Float => "r32float",
        Sf::Rg16Uint => "rg16uint",
        Sf::Rg16Sint => "rg16sint",
        Sf::Rg16Float => "rg16float",
        Sf::Rgba8Unorm => "rgba8unorm",
        Sf::Rgba8Snorm => "rgba8snorm",
        Sf::Rgba8Uint => "rgba8uint",
        Sf::Rgba8Sint => "rgba8sint",
        Sf::Rgb10a2Unorm => "rgb10a2unorm",
        Sf::Rg11b10Float => "rg11b10float",
        Sf::Rg32Uint => "rg32uint",
        Sf::Rg32Sint => "rg32sint",
        Sf::Rg32Float => "rg32float",
        Sf::Rgba16Uint => "rgba16uint",
        Sf::Rgba16Sint => "rgba16sint",
        Sf::Rgba16Float => "rgba16float",
        Sf::Rgba32Uint => "rgba32uint",
        Sf::Rgba32Sint => "rgba32sint",
        Sf::Rgba32Float => "rgba32float",
    }
}

/// Helper function that returns the string corresponding to the WGSL interpolation qualifier
const fn interpolation_str(interpolation: crate::Interpolation) -> &'static str {
    use crate::Interpolation as I;

    match interpolation {
        I::Perspective => "perspective",
        I::Linear => "linear",
        I::Flat => "flat",
    }
}

/// Return the WGSL auxiliary qualifier for the given sampling value.
const fn sampling_str(sampling: crate::Sampling) -> &'static str {
    use crate::Sampling as S;

    match sampling {
        S::Center => "",
        S::Centroid => "centroid",
        S::Sample => "sample",
    }
}

const fn address_space_str(
    space: crate::AddressSpace,
) -> (Option<&'static str>, Option<&'static str>) {
    use crate::AddressSpace as As;

    (
        Some(match space {
            As::Private => "private",
            As::Uniform => "uniform",
            As::Storage { access } => {
                if access.contains(crate::StorageAccess::STORE) {
                    return (Some("storage"), Some("read_write"));
                } else {
                    "storage"
                }
            }
            As::PushConstant => "push_constant",
            As::WorkGroup => "workgroup",
            As::Handle => return (None, None),
            As::Function => "function",
        }),
        None,
    )
}

fn map_binding_to_attribute(
    binding: &crate::Binding,
    scalar_kind: Option<crate::ScalarKind>,
) -> Vec<Attribute> {
    match *binding {
        crate::Binding::BuiltIn(built_in) => {
            if let crate::BuiltIn::Position { invariant: true } = built_in {
                vec![Attribute::BuiltIn(built_in), Attribute::Invariant]
            } else {
                vec![Attribute::BuiltIn(built_in)]
            }
        }
        crate::Binding::Location {
            location,
            interpolation,
            sampling,
        } => match scalar_kind {
            Some(crate::ScalarKind::Float) => vec![
                Attribute::Location(location),
                Attribute::Interpolate(interpolation, sampling),
            ],
            _ => vec![Attribute::Location(location)],
        },
    }
}

/// Helper function that check that expression don't access to structure member with unsupported builtin.
fn access_to_unsupported_builtin(
    expr: Handle<crate::Expression>,
    index: u32,
    module: &Module,
    info: &valid::FunctionInfo,
) -> bool {
    let base_ty_res = &info[expr].ty;
    let resolved = base_ty_res.inner_with(&module.types);
    if let TypeInner::Pointer {
        base: pointer_base_handle,
        ..
    } = *resolved
    {
        // Let's check that we try to access a struct member with unsupported built-in and skip it.
        if let TypeInner::Struct { ref members, .. } = module.types[pointer_base_handle].inner {
            if let Some(crate::Binding::BuiltIn(built_in)) = members[index as usize].binding {
                if builtin_str(built_in).is_none() {
                    log::warn!("Skip component with unsupported builtin {:?}", built_in);
                    return true;
                }
            }
        }
    }

    false
}


================================================
FILE: lib/naga/src/block.rs
================================================
use crate::{Span, Statement};
use std::ops::{Deref, DerefMut, RangeBounds};

/// A code block is a vector of statements, with maybe a vector of spans.
#[derive(Debug, Clone, Default)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "serialize", serde(transparent))]
#[cfg_attr(feature = "arbitrary", derive(arbitrary::Arbitrary))]
pub struct Block {
    body: Vec<Statement>,
    #[cfg(feature = "span")]
    #[cfg_attr(feature = "serialize", serde(skip))]
    span_info: Vec<Span>,
}

impl Block {
    pub const fn new() -> Self {
        Self {
            body: Vec::new(),
            #[cfg(feature = "span")]
            span_info: Vec::new(),
        }
    }

    pub fn from_vec(body: Vec<Statement>) -> Self {
        #[cfg(feature = "span")]
        let span_info = std::iter::repeat(Span::default())
            .take(body.len())
            .collect();
        Self {
            body,
            #[cfg(feature = "span")]
            span_info,
        }
    }

    pub fn with_capacity(capacity: usize) -> Self {
        Self {
            body: Vec::with_capacity(capacity),
            #[cfg(feature = "span")]
            span_info: Vec::with_capacity(capacity),
        }
    }

    #[allow(unused_variables)]
    pub fn push(&mut self, end: Statement, span: Span) {
        self.body.push(end);
        #[cfg(feature = "span")]
        self.span_info.push(span);
    }

    pub fn extend(&mut self, item: Option<(Statement, Span)>) {
        if let Some((end, span)) = item {
            self.push(end, span)
        }
    }

    pub fn extend_block(&mut self, other: Self) {
        #[cfg(feature = "span")]
        self.span_info.extend(other.span_info);
        self.body.extend(other.body);
    }

    pub fn append(&mut self, other: &mut Self) {
        #[cfg(feature = "span")]
        self.span_info.append(&mut other.span_info);
        self.body.append(&mut other.body);
    }

    pub fn cull<R: RangeBounds<usize> + Clone>(&mut self, range: R) {
        #[cfg(feature = "span")]
        self.span_info.drain(range.clone());
        self.body.drain(range);
    }

    pub fn splice<R: RangeBounds<usize> + Clone>(&mut self, range: R, other: Self) {
        #[cfg(feature = "span")]
        self.span_info
            .splice(range.clone(), other.span_info.into_iter());
        self.body.splice(range, other.body.into_iter());
    }
    pub fn span_iter(&self) -> impl Iterator<Item = (&Statement, &Span)> {
        #[cfg(feature = "span")]
        let span_iter = self.span_info.iter();
        #[cfg(not(feature = "span"))]
        let span_iter = std::iter::repeat_with(|| &Span::UNDEFINED);

        self.body.iter().zip(span_iter)
    }

    pub fn span_iter_mut(&mut self) -> impl Iterator<Item = (&mut Statement, Option<&mut Span>)> {
        #[cfg(feature = "span")]
        let span_iter = self.span_info.iter_mut().map(Some);
        #[cfg(not(feature = "span"))]
        let span_iter = std::iter::repeat_with(|| None);

        self.body.iter_mut().zip(span_iter)
    }

    pub fn is_empty(&self) -> bool {
        self.body.is_empty()
    }

    pub fn len(&self) -> usize {
        self.body.len()
    }
}

impl Deref for Block {
    type Target = [Statement];
    fn deref(&self) -> &[Statement] {
        &self.body
    }
}

impl DerefMut for Block {
    fn deref_mut(&mut self) -> &mut [Statement] {
        &mut self.body
    }
}

impl<'a> IntoIterator for &'a Block {
    type Item = &'a Statement;
    type IntoIter = std::slice::Iter<'a, Statement>;

    fn into_iter(self) -> std::slice::Iter<'a, Statement> {
        self.iter()
    }
}

#[cfg(feature = "deserialize")]
impl<'de> serde::Deserialize<'de> for Block {
    fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
    where
        D: serde::Deserializer<'de>,
    {
        Ok(Self::from_vec(Vec::deserialize(deserializer)?))
    }
}

impl From<Vec<Statement>> for Block {
    fn from(body: Vec<Statement>) -> Self {
        Self::from_vec(body)
    }
}


================================================
FILE: lib/naga/src/front/glsl/ast.rs
================================================
use std::{borrow::Cow, fmt};

use super::{builtins::MacroCall, context::ExprPos, Span};
use crate::{
    AddressSpace, BinaryOperator, Binding, Constant, Expression, Function, GlobalVariable, Handle,
    Interpolation, Sampling, StorageAccess, Type, UnaryOperator,
};

#[derive(Debug, Clone, Copy)]
pub enum GlobalLookupKind {
    Variable(Handle<GlobalVariable>),
    Constant(Handle<Constant>, Handle<Type>),
    BlockSelect(Handle<GlobalVariable>, u32),
}

#[derive(Debug, Clone, Copy)]
pub struct GlobalLookup {
    pub kind: GlobalLookupKind,
    pub entry_arg: Option<usize>,
    pub mutable: bool,
}

#[derive(Debug, Clone)]
pub struct ParameterInfo {
    pub qualifier: ParameterQualifier,
    /// Whether the parameter should be treated as a depth image instead of a
    /// sampled image.
    pub depth: bool,
}

/// How the function is implemented
#[derive(Clone, Copy)]
pub enum FunctionKind {
    /// The function is user defined
    Call(Handle<Function>),
    /// The function is a builtin
    Macro(MacroCall),
}

impl fmt::Debug for FunctionKind {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match *self {
            Self::Call(_) => write!(f, "Call"),
            Self::Macro(_) => write!(f, "Macro"),
        }
    }
}

#[derive(Debug)]
pub struct Overload {
    /// Normalized function parameters, modifiers are not applied
    pub parameters: Vec<Handle<Type>>,
    pub parameters_info: Vec<ParameterInfo>,
    /// How the function is implemented
    pub kind: FunctionKind,
    /// Whether this function was already defined or is just a prototype
    pub defined: bool,
    /// Whether this overload is the one provided by the language or has
    /// been redeclared by the user (builtins only)
    pub internal: bool,
    /// Whether or not this function returns void (nothing)
    pub void: bool,
}

bitflags::bitflags! {
    /// Tracks the variations of the builtin already generated, this is needed because some
    /// builtins overloads can't be generated unless explicitly used, since they might cause
    /// unneeded capabilities to be requested
    #[derive(Default)]
    pub struct BuiltinVariations: u32 {
        /// Request the standard overloads
        const STANDARD = 1 << 0;
        /// Request overloads that use the double type
        const DOUBLE = 1 << 1;
        /// Request overloads that use samplerCubeArray(Shadow)
        const CUBE_TEXTURES_ARRAY = 1 << 2;
        /// Request overloads that use sampler2DMSArray
        const D2_MULTI_TEXTURES_ARRAY = 1 << 3;
    }
}

#[derive(Debug, Default)]
pub struct FunctionDeclaration {
    pub overloads: Vec<Overload>,
    /// Tracks the builtin overload variations that were already generated
    pub variations: BuiltinVariations,
}

#[derive(Debug)]
pub struct EntryArg {
    pub name: Option<String>,
    pub binding: Binding,
    pub handle: Handle<GlobalVariable>,
    pub storage: StorageQualifier,
}

#[derive(Debug, Clone)]
pub struct VariableReference {
    pub expr: Handle<Expression>,
    /// Wether the variable is of a pointer type (and needs loading) or not
    pub load: bool,
    /// Wether the value of the variable can be changed or not
    pub mutable: bool,
    pub constant: Option<(Handle<Constant>, Handle<Type>)>,
    pub entry_arg: Option<usize>,
}

#[derive(Debug, Clone)]
pub struct HirExpr {
    pub kind: HirExprKind,
    pub meta: Span,
}

#[derive(Debug, Clone)]
pub enum HirExprKind {
    Access {
        base: Handle<HirExpr>,
        index: Handle<HirExpr>,
    },
    Select {
        base: Handle<HirExpr>,
        field: String,
    },
    Constant(Handle<Constant>),
    Binary {
        left: Handle<HirExpr>,
        op: BinaryOperator,
        right: Handle<HirExpr>,
    },
    Unary {
        op: UnaryOperator,
        expr: Handle<HirExpr>,
    },
    Variable(VariableReference),
    Call(FunctionCall),
    /// Represents the ternary operator in glsl (`:?`)
    Conditional {
        /// The expression that will decide which branch to take, must evaluate to a boolean
        condition: Handle<HirExpr>,
        /// The expression that will be evaluated if [`condition`] returns `true`
        ///
        /// [`condition`]: Self::Conditional::condition
        accept: Handle<HirExpr>,
        /// The expression that will be evaluated if [`condition`] returns `false`
        ///
        /// [`condition`]: Self::Conditional::condition
        reject: Handle<HirExpr>,
    },
    Assign {
        tgt: Handle<HirExpr>,
        value: Handle<HirExpr>,
    },
    /// A prefix/postfix operator like `++`
    PrePostfix {
        /// The operation to be performed
        op: BinaryOperator,
        /// Whether this is a postfix or a prefix
        postfix: bool,
        /// The target expression
        expr: Handle<HirExpr>,
    },
    /// A method call like `what.something(a, b, c)`
    Method {
        /// expression the method call applies to (`what` in the example)
        expr: Handle<HirExpr>,
        /// the method name (`something` in the example)
        name: String,
        /// the arguments to the method (`a`, `b`, and `c` in the example)
        args: Vec<Handle<HirExpr>>,
    },
}

#[derive(Debug, Hash, PartialEq, Eq)]
pub enum QualifierKey<'a> {
    String(Cow<'a, str>),
    /// Used for `std140` and `std430` layout qualifiers
    Layout,
    /// Used for image formats
    Format,
}

#[derive(Debug)]
pub enum QualifierValue {
    None,
    Uint(u32),
    Layout(StructLayout),
    Format(crate::StorageFormat),
}

#[derive(Debug, Default)]
pub struct TypeQualifiers<'a> {
    pub span: Span,
    pub storage: (StorageQualifier, Span),
    pub invariant: Option<Span>,
    pub interpolation: Option<(Interpolation, Span)>,
    pub precision: Option<(Precision, Span)>,
    pub sampling: Option<(Sampling, Span)>,
    /// Memory qualifiers used in the declaration to set the storage access to be used
    /// in declarations that support it (storage images and buffers)
    pub storage_access: Option<(StorageAccess, Span)>,
    pub layout_qualifiers: crate::FastHashMap<QualifierKey<'a>, (QualifierValue, Span)>,
}

impl<'a> TypeQualifiers<'a> {
    /// Appends `errors` with errors for all unused qualifiers
    pub fn unused_errors(&self, errors: &mut Vec<super::Error>) {
        if let Some(meta) = self.invariant {
            errors.push(super::Error {
                kind: super::ErrorKind::SemanticError(
                    "Invariant qualifier can only be used in in/out variables".into(),
                ),
                meta,
            });
        }

        if let Some((_, meta)) = self.interpolation {
            errors.push(super::Error {
                kind: super::ErrorKind::SemanticError(
                    "Interpolation qualifiers can only be used in in/out variables".into(),
                ),
                meta,
            });
        }

        if let Some((_, meta)) = self.sampling {
            errors.push(super::Error {
                kind: super::ErrorKind::SemanticError(
                    "Sampling qualifiers can only be used in in/out variables".into(),
                ),
                meta,
            });
        }

        if let Some((_, meta)) = self.storage_access {
            errors.push(super::Error {
                kind: super::ErrorKind::SemanticError(
                    "Memory qualifiers can only be used in storage variables".into(),
                ),
                meta,
            });
        }

        for &(_, meta) in self.layout_qualifiers.values() {
            errors.push(super::Error {
                kind: super::ErrorKind::SemanticError("Unexpected qualifier".into()),
                meta,
            });
        }
    }

    /// Removes the layout qualifier with `name`, if it exists and adds an error if it isn't
    /// a [`QualifierValue::Uint`]
    pub fn uint_layout_qualifier(
        &mut self,
        name: &'a str,
        errors: &mut Vec<super::Error>,
    ) -> Option<u32> {
        match self
            .layout_qualifiers
            .remove(&QualifierKey::String(name.into()))
        {
            Some((QualifierValue::Uint(v), _)) => Some(v),
            Some((_, meta)) => {
                errors.push(super::Error {
                    kind: super::ErrorKind::SemanticError("Qualifier expects a uint value".into()),
                    meta,
                });
                // Return a dummy value instead of `None` to differentiate from
                // the qualifier not existing, since some parts might require the
                // qualifier to exist and throwing another error that it doesn't
                // exist would be unhelpful
                Some(0)
            }
            _ => None,
        }
    }

    /// Removes the layout qualifier with `name`, if it exists and adds an error if it isn't
    /// a [`QualifierValue::None`]
    pub fn none_layout_qualifier(&mut self, name: &'a str, errors: &mut Vec<super::Error>) -> bool {
        match self
            .layout_qualifiers
            .remove(&QualifierKey::String(name.into()))
        {
            Some((QualifierValue::None, _)) => true,
            Some((_, meta)) => {
                errors.push(super::Error {
                    kind: super::ErrorKind::SemanticError(
                        "Qualifier doesn't expect a value".into(),
                    ),
                    meta,
                });
                // Return a `true` to since the qualifier is defined and adding
                // another error for it not being defined would be unhelpful
                true
            }
            _ => false,
        }
    }
}

#[derive(Debug, Clone)]
pub enum FunctionCallKind {
    TypeConstructor(Handle<Type>),
    Function(String),
}

#[derive(Debug, Clone)]
pub struct FunctionCall {
    pub kind: FunctionCallKind,
    pub args: Vec<Handle<HirExpr>>,
}

#[derive(Debug, Clone, Copy, PartialEq)]
pub enum StorageQualifier {
    AddressSpace(AddressSpace),
    Input,
    Output,
    Const,
}

impl Default for StorageQualifier {
    fn default() -> Self {
        StorageQualifier::AddressSpace(AddressSpace::Function)
    }
}

#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum StructLayout {
    Std140,
    Std430,
}

// TODO: Encode precision hints in the IR
/// A precision hint used in GLSL declarations.
///
/// Precision hints can be used to either speed up shader execution or control
/// the precision of arithmetic operations.
///
/// To use a precision hint simply add it before the type in the declaration.
/// ```glsl
/// mediump float a;
/// ```
///
/// The default when no precision is declared is `highp` which means that all
/// operations operate with the type defined width.
///
/// For `mediump` and `lowp` operations follow the spir-v
/// [`RelaxedPrecision`][RelaxedPrecision] decoration semantics.
///
/// [RelaxedPrecision]: https://www.khronos.org/registry/SPIR-V/specs/unified1/SPIRV.html#_a_id_relaxedprecisionsection_a_relaxed_precision
#[derive(Debug, Clone, PartialEq, Copy)]
pub enum Precision {
    /// `lowp` precision
    Low,
    /// `mediump` precision
    Medium,
    /// `highp` precision
    High,
}

#[derive(Debug, Clone, PartialEq, Copy)]
pub enum ParameterQualifier {
    In,
    Out,
    InOut,
    Const,
}

impl ParameterQualifier {
    /// Returns true if the argument should be passed as a lhs expression
    pub const fn is_lhs(&self) -> bool {
        match *self {
            ParameterQualifier::Out | ParameterQualifier::InOut => true,
            _ => false,
        }
    }

    /// Converts from a parameter qualifier into a [`ExprPos`](ExprPos)
    pub const fn as_pos(&self) -> ExprPos {
        match *self {
            ParameterQualifier::Out | ParameterQualifier::InOut => ExprPos::Lhs,
            _ => ExprPos::Rhs,
        }
    }
}

/// The GLSL profile used by a shader.
#[derive(Debug, Clone, Copy, PartialEq)]
pub enum Profile {
    /// The `core` profile, default when no profile is specified.
    Core,
}


================================================
FILE: lib/naga/src/front/glsl/builtins.rs
================================================
use super::{
    ast::{
        BuiltinVariations, FunctionDeclaration, FunctionKind, Overload, ParameterInfo,
        ParameterQualifier,
    },
    context::Context,
    Error, ErrorKind, Parser, Result,
};
use crate::{
    BinaryOperator, Block, Constant, DerivativeAxis, Expression, Handle, ImageClass,
    ImageDimension as Dim, ImageQuery, MathFunction, Module, RelationalFunction, SampleLevel,
    ScalarKind as Sk, Span, Type, TypeInner, VectorSize,
};

impl crate::ScalarKind {
    const fn dummy_storage_format(&self) -> crate::StorageFormat {
        match *self {
            Sk::Sint => crate::StorageFormat::R16Sint,
            Sk::Uint => crate::StorageFormat::R16Uint,
            _ => crate::StorageFormat::R16Float,
        }
    }
}

impl Module {
    /// Helper function, to create a function prototype for a builtin
    fn add_builtin(&mut self, args: Vec<TypeInner>, builtin: MacroCall) -> Overload {
        let mut parameters = Vec::with_capacity(args.len());
        let mut parameters_info = Vec::with_capacity(args.len());

        for arg in args {
            parameters.push(self.types.insert(
                Type {
                    name: None,
                    inner: arg,
                },
                Span::default(),
            ));
            parameters_info.push(ParameterInfo {
                qualifier: ParameterQualifier::In,
                depth: false,
            });
        }

        Overload {
            parameters,
            parameters_info,
            kind: FunctionKind::Macro(builtin),
            defined: false,
            internal: true,
            void: false,
        }
    }
}

const fn make_coords_arg(number_of_components: usize, kind: Sk) -> TypeInner {
    let width = 4;

    match number_of_components {
        1 => TypeInner::Scalar { kind, width },
        _ => TypeInner::Vector {
            size: match number_of_components {
                2 => VectorSize::Bi,
                3 => VectorSize::Tri,
                _ => VectorSize::Quad,
            },
            kind,
            width,
        },
    }
}

/// Inject builtins into the declaration
///
/// This is done to not add a large startup cost and not increase memory
/// usage if it isn't needed.
pub fn inject_builtin(
    declaration: &mut FunctionDeclaration,
    module: &mut Module,
    name: &str,
    mut variations: BuiltinVariations,
) {
    log::trace!(
        "{} variations: {:?} {:?}",
        name,
        variations,
        declaration.variations
    );
    // Don't regeneate variations
    variations.remove(declaration.variations);
    declaration.variations |= variations;

    if variations.contains(BuiltinVariations::STANDARD) {
        inject_standard_builtins(declaration, module, name)
    }

    if variations.contains(BuiltinVariations::DOUBLE) {
        inject_double_builtin(declaration, module, name)
    }

    let width = 4;
    match name {
        "texture"
        | "textureGrad"
        | "textureGradOffset"
        | "textureLod"
        | "textureLodOffset"
        | "textureOffset"
        | "textureProj"
        | "textureProjGrad"
        | "textureProjGradOffset"
        | "textureProjLod"
        | "textureProjLodOffset"
        | "textureProjOffset" => {
            let f = |kind, dim, arrayed, multi, shadow| {
                for bits in 0..=0b11 {
                    let variant = bits & 0b1 != 0;
                    let bias = bits & 0b10 != 0;

                    let (proj, offset, level_type) = match name {
                        // texture(gsampler, gvec P, [float bias]);
                        "texture" => (false, false, TextureLevelType::None),
                        // textureGrad(gsampler, gvec P, gvec dPdx, gvec dPdy);
                        "textureGrad" => (false, false, TextureLevelType::Grad),
                        // textureGradOffset(gsampler, gvec P, gvec dPdx, gvec dPdy, ivec offset);
                        "textureGradOffset" => (false, true, TextureLevelType::Grad),
                        // textureLod(gsampler, gvec P, float lod);
                        "textureLod" => (false, false, TextureLevelType::Lod),
                        // textureLodOffset(gsampler, gvec P, float lod, ivec offset);
                        "textureLodOffset" => (false, true, TextureLevelType::Lod),
                        // textureOffset(gsampler, gvec+1 P, ivec offset, [float bias]);
                        "textureOffset" => (false, true, TextureLevelType::None),
                        // textureProj(gsampler, gvec+1 P, [float bias]);
                        "textureProj" => (true, false, TextureLevelType::None),
                        // textureProjGrad(gsampler, gvec+1 P, gvec dPdx, gvec dPdy);
                        "textureProjGrad" => (true, false, TextureLevelType::Grad),
                        // textureProjGradOffset(gsampler, gvec+1 P, gvec dPdx, gvec dPdy, ivec offset);
                        "textureProjGradOffset" => (true, true, TextureLevelType::Grad),
                        // textureProjLod(gsampler, gvec+1 P, float lod);
                        "textureProjLod" => (true, false, TextureLevelType::Lod),
                        // textureProjLodOffset(gsampler, gvec+1 P, gvec dPdx, gvec dPdy, ivec offset);
                        "textureProjLodOffset" => (true, true, TextureLevelType::Lod),
                        // textureProjOffset(gsampler, gvec+1 P, ivec offset, [float bias]);
                        "textureProjOffset" => (true, true, TextureLevelType::None),
                        _ => unreachable!(),
                    };

                    let builtin = MacroCall::Texture {
                        proj,
                        offset,
                        shadow,
                        level_type,
                    };

                    // Parse out the variant settings.
                    let grad = level_type == TextureLevelType::Grad;
                    let lod = level_type == TextureLevelType::Lod;

                    let supports_variant = proj && !shadow;
                    if variant && !supports_variant {
                        continue;
                    }

                    if bias && !matches!(level_type, TextureLevelType::None) {
                        continue;
                    }

                    // Proj doesn't work with arrayed or Cube
                    if proj && (arrayed || dim == Dim::Cube) {
                        continue;
                    }

                    // texture operations with offset are not supported for cube maps
                    if dim == Dim::Cube && offset {
                        continue;
                    }

                    // sampler2DArrayShadow can't be used in textureLod or in texture with bias
                    if (lod || bias) && arrayed && shadow && dim == Dim::D2 {
                        continue;
                    }

                    // TODO: glsl supports using bias with depth samplers but naga doesn't
                    if bias && shadow {
                        continue;
                    }

                    let class = match shadow {
                        true => ImageClass::Depth { multi },
                        false => ImageClass::Sampled { kind, multi },
                    };

                    let image = TypeInner::Image {
                        dim,
                        arrayed,
                        class,
                    };

                    let num_coords_from_dim = image_dims_to_coords_size(dim).min(3);
                    let mut num_coords = num_coords_from_dim;

                    if shadow && proj {
                        num_coords = 4;
                    } else if dim == Dim::D1 && shadow {
                        num_coords = 3;
                    } else if shadow {
                        num_coords += 1;
                    } else if proj {
                        if variant && num_coords == 4 {
                            // Normal form already has 4 components, no need to have a variant form.
                            continue;
                        } else if variant {
                            num_coords = 4;
                        } else {
                            num_coords += 1;
                        }
                    }

                    if !(dim == Dim::D1 && shadow) {
                        num_coords += arrayed as usize;
                    }

                    // Special case: texture(gsamplerCubeArrayShadow) kicks the shadow compare ref to a separate argument,
                    // since it would otherwise take five arguments. It also can't take a bias, nor can it be proj/grad/lod/offset
                    // (presumably because nobody asked for it, and implementation complexity?)
                    if num_coords >= 5 {
                        if lod || grad || offset || proj || bias {
                            continue;
                        }
                        debug_assert!(dim == Dim::Cube && shadow && arrayed);
                    }
                    debug_assert!(num_coords <= 5);

                    let vector = make_coords_arg(num_coords, Sk::Float);
                    let mut args = vec![image, vector];

                    if num_coords == 5 {
                        args.push(TypeInner::Scalar {
                            kind: Sk::Float,
                            width,
                        });
                    }

                    match level_type {
                        TextureLevelType::Lod => {
                            args.push(TypeInner::Scalar {
                                kind: Sk::Float,
                                width,
                            });
                        }
                        TextureLevelType::Grad => {
                            args.push(make_coords_arg(num_coords_from_dim, Sk::Float));
                            args.push(make_coords_arg(num_coords_from_dim, Sk::Float));
                        }
                        _ => {}
                    };

                    if offset {
                        args.push(make_coords_arg(num_coords_from_dim, Sk::Sint));
                    }

                    if bias {
                        args.push(TypeInner::Scalar {
                            kind: Sk::Float,
                            width,
                        });
                    }

                    declaration
                        .overloads
                        .push(module.add_builtin(args, builtin));
                }
            };

            texture_args_generator(TextureArgsOptions::SHADOW | variations.into(), f)
        }
        "textureSize" => {
            let f = |kind, dim, arrayed, multi, shadow| {
                let class = match shadow {
                    true => ImageClass::Depth { multi },
                    false => ImageClass::Sampled { kind, multi },
                };

                let image = TypeInner::Image {
                    dim,
                    arrayed,
                    class,
                };

                let mut args = vec![image];

                if !multi {
                    args.push(TypeInner::Scalar {
                        kind: Sk::Sint,
                        width,
                    })
                }

                declaration
                    .overloads
                    .push(module.add_builtin(args, MacroCall::TextureSize { arrayed }))
            };

            texture_args_generator(
                TextureArgsOptions::SHADOW | TextureArgsOptions::MULTI | variations.into(),
                f,
            )
        }
        "texelFetch" | "texelFetchOffset" => {
            let offset = "texelFetchOffset" == name;
            let f = |kind, dim, arrayed, multi, _shadow| {
                // Cube images aren't supported
                if let Dim::Cube = dim {
                    return;
                }

                let image = TypeInner::Image {
                    dim,
                    arrayed,
                    class: ImageClass::Sampled { kind, multi },
                };

                let dim_value = image_dims_to_coords_size(dim);
                let coordinates = make_coords_arg(dim_value + arrayed as usize, Sk::Sint);

                let mut args = vec![
                    image,
                    coordinates,
                    TypeInner::Scalar {
                        kind: Sk::Sint,
                        width,
                    },
                ];

                if offset {
                    args.push(make_coords_arg(dim_value, Sk::Sint));
                }

                declaration
                    .overloads
                    .push(module.add_builtin(args, MacroCall::ImageLoad { multi }))
            };

            // Don't generate shadow images since they aren't supported
            texture_args_generator(TextureArgsOptions::MULTI | variations.into(), f)
        }
        "imageSize" => {
            let f = |kind: Sk, dim, arrayed, _, _| {
                // Naga doesn't support cube images and it's usefulness
                // is questionable, so they won't be supported for now
                if dim == Dim::Cube {
                    return;
                }

                let image = TypeInner::Image {
                    dim,
                    arrayed,
                    class: ImageClass::Storage {
                        format: kind.dummy_storage_format(),
                        access: crate::StorageAccess::empty(),
                    },
                };

                declaration
                    .overloads
                    .push(module.add_builtin(vec![image], MacroCall::TextureSize { arrayed }))
            };

            texture_args_generator(variations.into(), f)
        }
        "imageLoad" => {
            let f = |kind: Sk, dim, arrayed, _, _| {
                // Naga doesn't support cube images and it's usefulness
                // is questionable, so they won't be supported for now
                if dim == Dim::Cube {
                    return;
                }

                let image = TypeInner::Image {
                    dim,
                    arrayed,
                    class: ImageClass::Storage {
                        format: kind.dummy_storage_format(),
                        access: crate::StorageAccess::LOAD,
                    },
                };

                let dim_value = image_dims_to_coords_size(dim);
                let mut coord_size = dim_value + arrayed as usize;
                // > Every OpenGL API call that operates on cubemap array
                // > textures takes layer-faces, not array layers
                //
                // So this means that imageCubeArray only takes a three component
                // vector coordinate and the third component is a layer index.
                if Dim::Cube == dim && arrayed {
                    coord_size = 3
                }
                let coordinates = make_coords_arg(coord_size, Sk::Sint);

                let args = vec![image, coordinates];

                declaration
                    .overloads
                    .push(module.add_builtin(args, MacroCall::ImageLoad { multi: false }))
            };

            // Don't generate shadow nor multisampled images since they aren't supported
            texture_args_generator(variations.into(), f)
        }
        "imageStore" => {
            let f = |kind: Sk, dim, arrayed, _, _| {
                // Naga doesn't support cube images and it's usefulness
                // is questionable, so they won't be supported for now
                if dim == Dim::Cube {
                    return;
                }

                let image = TypeInner::Image {
                    dim,
                    arrayed,
                    class: ImageClass::Storage {
                        format: kind.dummy_storage_format(),
                        access: crate::StorageAccess::STORE,
                    },
                };

                let dim_value = image_dims_to_coords_size(dim);
                let mut coord_size = dim_value + arrayed as usize;
                // > Every OpenGL API call that operates on cubemap array
                // > textures takes layer-faces, not array layers
                //
                // So this means that imageCubeArray only takes a three component
                // vector coordinate and the third component is a layer index.
                if Dim::Cube == dim && arrayed {
                    coord_size = 3
                }
                let coordinates = make_coords_arg(coord_size, Sk::Sint);

                let args = vec![
                    image,
                    coordinates,
                    TypeInner::Vector {
                        size: VectorSize::Quad,
                        kind,
                        width,
                    },
                ];

                let mut overload = module.add_builtin(args, MacroCall::ImageStore);
                overload.void = true;
                declaration.overloads.push(overload)
            };

            // Don't generate shadow nor multisampled images since they aren't supported
            texture_args_generator(variations.into(), f)
        }
        _ => {}
    }
}

/// Injects the builtins into declaration that don't need any special variations
fn inject_standard_builtins(
    declaration: &mut FunctionDeclaration,
    module: &mut Module,
    name: &str,
) {
    let width = 4;
    match name {
        "sampler1D" | "sampler1DArray" | "sampler2D" | "sampler2DArray" | "sampler2DMS"
        | "sampler2DMSArray" | "sampler3D" | "samplerCube" | "samplerCubeArray" => {
            declaration.overloads.push(module.add_builtin(
                vec![
                    TypeInner::Image {
                        dim: match name {
                            "sampler1D" | "sampler1DArray" => Dim::D1,
                            "sampler2D" | "sampler2DArray" | "sampler2DMS" | "sampler2DMSArray" => {
                                Dim::D2
                            }
                            "sampler3D" => Dim::D3,
                            _ => Dim::Cube,
                        },
                        arrayed: matches!(
                            name,
                            "sampler1DArray"
                                | "sampler2DArray"
                                | "sampler2DMSArray"
                                | "samplerCubeArray"
                        ),
                        class: ImageClass::Sampled {
                            kind: Sk::Float,
                            multi: matches!(name, "sampler2DMS" | "sampler2DMSArray"),
                        },
                    },
                    TypeInner::Sampler { comparison: false },
                ],
                MacroCall::Sampler,
            ))
        }
        "sampler1DShadow"
        | "sampler1DArrayShadow"
        | "sampler2DShadow"
        | "sampler2DArrayShadow"
        | "samplerCubeShadow"
        | "samplerCubeArrayShadow" => {
            let dim = match name {
                "sampler1DShadow" | "sampler1DArrayShadow" => Dim::D1,
                "sampler2DShadow" | "sampler2DArrayShadow" => Dim::D2,
                _ => Dim::Cube,
            };
            let arrayed = matches!(
                name,
                "sampler1DArrayShadow" | "sampler2DArrayShadow" | "samplerCubeArrayShadow"
            );

            for i in 0..2 {
                let ty = TypeInner::Image {
                    dim,
                    arrayed,
                    class: match i {
                        0 => ImageClass::Sampled {
                            kind: Sk::Float,
                            multi: false,
                        },
                        _ => ImageClass::Depth { multi: false },
                    },
                };

                declaration.overloads.push(module.add_builtin(
                    vec![ty, TypeInner::Sampler { comparison: true }],
                    MacroCall::SamplerShadow,
                ))
            }
        }
        "sin" | "exp" | "exp2" | "sinh" | "cos" | "cosh" | "tan" | "tanh" | "acos" | "asin"
        | "log" | "log2" | "radians" | "degrees" | "asinh" | "acosh" | "atanh"
        | "floatBitsToInt" | "floatBitsToUint" | "dFdx" | "dFdxFine" | "dFdxCoarse" | "dFdy"
        | "dFdyFine" | "dFdyCoarse" | "fwidth" | "fwidthFine" | "fwidthCoarse" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b100 {
                let size = match bits {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };
                let kind = Sk::Float;

                declaration.overloads.push(module.add_builtin(
                    vec![match size {
                        Some(size) => TypeInner::Vector { size, kind, width },
                        None => TypeInner::Scalar { kind, width },
                    }],
                    match name {
                        "sin" => MacroCall::MathFunction(MathFunction::Sin),
                        "exp" => MacroCall::MathFunction(MathFunction::Exp),
                        "exp2" => MacroCall::MathFunction(MathFunction::Exp2),
                        "sinh" => MacroCall::MathFunction(MathFunction::Sinh),
                        "cos" => MacroCall::MathFunction(MathFunction::Cos),
                        "cosh" => MacroCall::MathFunction(MathFunction::Cosh),
                        "tan" => MacroCall::MathFunction(MathFunction::Tan),
                        "tanh" => MacroCall::MathFunction(MathFunction::Tanh),
                        "acos" => MacroCall::MathFunction(MathFunction::Acos),
                        "asin" => MacroCall::MathFunction(MathFunction::Asin),
                        "log" => MacroCall::MathFunction(MathFunction::Log),
                        "log2" => MacroCall::MathFunction(MathFunction::Log2),
                        "asinh" => MacroCall::MathFunction(MathFunction::Asinh),
                        "acosh" => MacroCall::MathFunction(MathFunction::Acosh),
                        "atanh" => MacroCall::MathFunction(MathFunction::Atanh),
                        "radians" => MacroCall::MathFunction(MathFunction::Radians),
                        "degrees" => MacroCall::MathFunction(MathFunction::Degrees),
                        "floatBitsToInt" => MacroCall::BitCast(Sk::Sint),
                        "floatBitsToUint" => MacroCall::BitCast(Sk::Uint),
                        "dFdx" | "dFdxFine" | "dFdxCoarse" => {
                            MacroCall::Derivate(DerivativeAxis::X)
                        }
                        "dFdy" | "dFdyFine" | "dFdyCoarse" => {
                            MacroCall::Derivate(DerivativeAxis::Y)
                        }
                        "fwidth" | "fwidthFine" | "fwidthCoarse" => {
                            MacroCall::Derivate(DerivativeAxis::Width)
                        }
                        _ => unreachable!(),
                    },
                ))
            }
        }
        "intBitsToFloat" | "uintBitsToFloat" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b100 {
                let size = match bits {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };
                let kind = match name {
                    "intBitsToFloat" => Sk::Sint,
                    _ => Sk::Uint,
                };

                declaration.overloads.push(module.add_builtin(
                    vec![match size {
                        Some(size) => TypeInner::Vector { size, kind, width },
                        None => TypeInner::Scalar { kind, width },
                    }],
                    MacroCall::BitCast(Sk::Float),
                ))
            }
        }
        "pow" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b100 {
                let size = match bits {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };
                let kind = Sk::Float;
                let ty = || match size {
                    Some(size) => TypeInner::Vector { size, kind, width },
                    None => TypeInner::Scalar { kind, width },
                };

                declaration.overloads.push(
                    module
                        .add_builtin(vec![ty(), ty()], MacroCall::MathFunction(MathFunction::Pow)),
                )
            }
        }
        "abs" | "sign" => {
            // bits layout
            // bit 0 trough 1 - dims
            // bit 2 - float/sint
            for bits in 0..0b1000 {
                let size = match bits & 0b11 {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };
                let kind = match bits >> 2 {
                    0b0 => Sk::Float,
                    _ => Sk::Sint,
                };

                let args = vec![match size {
                    Some(size) => TypeInner::Vector { size, kind, width },
                    None => TypeInner::Scalar { kind, width },
                }];

                declaration.overloads.push(module.add_builtin(
                    args,
                    MacroCall::MathFunction(match name {
                        "abs" => MathFunction::Abs,
                        "sign" => MathFunction::Sign,
                        _ => unreachable!(),
                    }),
                ))
            }
        }
        "bitCount" | "bitfieldReverse" | "bitfieldExtract" | "bitfieldInsert" | "findLSB"
        | "findMSB" => {
            let fun = match name {
                "bitCount" => MathFunction::CountOneBits,
                "bitfieldReverse" => MathFunction::ReverseBits,
                "bitfieldExtract" => MathFunction::ExtractBits,
                "bitfieldInsert" => MathFunction::InsertBits,
                "findLSB" => MathFunction::FindLsb,
                "findMSB" => MathFunction::FindMsb,
                _ => unreachable!(),
            };

            let mc = match fun {
                MathFunction::ExtractBits => MacroCall::BitfieldExtract,
                MathFunction::InsertBits => MacroCall::BitfieldInsert,
                _ => MacroCall::MathFunction(fun),
            };

            // bits layout
            // bit 0 - int/uint
            // bit 1 trough 2 - dims
            for bits in 0..0b1000 {
                let kind = match bits & 0b1 {
                    0b0 => Sk::Sint,
                    _ => Sk::Uint,
                };
                let size = match bits >> 1 {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };

                let ty = || match size {
                    Some(size) => TypeInner::Vector { size, kind, width },
                    None => TypeInner::Scalar { kind, width },
                };

                let mut args = vec![ty()];

                match fun {
                    MathFunction::ExtractBits => {
                        args.push(TypeInner::Scalar {
                            kind: Sk::Sint,
                            width: 4,
                        });
                        args.push(TypeInner::Scalar {
                            kind: Sk::Sint,
                            width: 4,
                        });
                    }
                    MathFunction::InsertBits => {
                        args.push(ty());
                        args.push(TypeInner::Scalar {
                            kind: Sk::Sint,
                            width: 4,
                        });
                        args.push(TypeInner::Scalar {
                            kind: Sk::Sint,
                            width: 4,
                        });
                    }
                    _ => {}
                }

                // we need to cast the return type of findLsb / findMsb
                let mc = if kind == Sk::Uint {
                    match mc {
                        MacroCall::MathFunction(MathFunction::FindLsb) => MacroCall::FindLsbUint,
                        MacroCall::MathFunction(MathFunction::FindMsb) => MacroCall::FindMsbUint,
                        mc => mc,
                    }
                } else {
                    mc
                };

                declaration.overloads.push(module.add_builtin(args, mc))
            }
        }
        "packSnorm4x8" | "packUnorm4x8" | "packSnorm2x16" | "packUnorm2x16" | "packHalf2x16" => {
            let fun = match name {
                "packSnorm4x8" => MathFunction::Pack4x8snorm,
                "packUnorm4x8" => MathFunction::Pack4x8unorm,
                "packSnorm2x16" => MathFunction::Pack2x16unorm,
                "packUnorm2x16" => MathFunction::Pack2x16snorm,
                "packHalf2x16" => MathFunction::Pack2x16float,
                _ => unreachable!(),
            };

            let ty = match fun {
                MathFunction::Pack4x8snorm | MathFunction::Pack4x8unorm => TypeInner::Vector {
                    size: crate::VectorSize::Quad,
                    kind: Sk::Float,
                    width: 4,
                },
                MathFunction::Pack2x16unorm
                | MathFunction::Pack2x16snorm
                | MathFunction::Pack2x16float => TypeInner::Vector {
                    size: crate::VectorSize::Bi,
                    kind: Sk::Float,
                    width: 4,
                },
                _ => unreachable!(),
            };

            let args = vec![ty];

            declaration
                .overloads
                .push(module.add_builtin(args, MacroCall::MathFunction(fun)));
        }
        "unpackSnorm4x8" | "unpackUnorm4x8" | "unpackSnorm2x16" | "unpackUnorm2x16"
        | "unpackHalf2x16" => {
            let fun = match name {
                "unpackSnorm4x8" => MathFunction::Unpack4x8snorm,
                "unpackUnorm4x8" => MathFunction::Unpack4x8unorm,
                "unpackSnorm2x16" => MathFunction::Unpack2x16snorm,
                "unpackUnorm2x16" => MathFunction::Unpack2x16unorm,
                "unpackHalf2x16" => MathFunction::Unpack2x16float,
                _ => unreachable!(),
            };

            let args = vec![TypeInner::Scalar {
                kind: Sk::Uint,
                width: 4,
            }];

            declaration
                .overloads
                .push(module.add_builtin(args, MacroCall::MathFunction(fun)));
        }
        "atan" => {
            // bits layout
            // bit 0 - atan/atan2
            // bit 1 trough 2 - dims
            for bits in 0..0b1000 {
                let fun = match bits & 0b1 {
                    0b0 => MathFunction::Atan,
                    _ => MathFunction::Atan2,
                };
                let size = match bits >> 1 {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };
                let kind = Sk::Float;
                let ty = || match size {
                    Some(size) => TypeInner::Vector { size, kind, width },
                    None => TypeInner::Scalar { kind, width },
                };

                let mut args = vec![ty()];

                if fun == MathFunction::Atan2 {
                    args.push(ty())
                }

                declaration
                    .overloads
                    .push(module.add_builtin(args, MacroCall::MathFunction(fun)))
            }
        }
        "all" | "any" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b11 {
                let size = match bits {
                    0b00 => VectorSize::Bi,
                    0b01 => VectorSize::Tri,
                    _ => VectorSize::Quad,
                };

                let args = vec![TypeInner::Vector {
                    size,
                    kind: Sk::Bool,
                    width: crate::BOOL_WIDTH,
                }];

                let fun = MacroCall::Relational(match name {
                    "all" => RelationalFunction::All,
                    "any" => RelationalFunction::Any,
                    _ => unreachable!(),
                });

                declaration.overloads.push(module.add_builtin(args, fun))
            }
        }
        "lessThan" | "greaterThan" | "lessThanEqual" | "greaterThanEqual" | "equal"
        | "notEqual" => {
            for bits in 0..0b1001 {
                let (size, kind) = match bits {
                    0b0000 => (VectorSize::Bi, Sk::Float),
                    0b0001 => (VectorSize::Tri, Sk::Float),
                    0b0010 => (VectorSize::Quad, Sk::Float),
                    0b0011 => (VectorSize::Bi, Sk::Sint),
                    0b0100 => (VectorSize::Tri, Sk::Sint),
                    0b0101 => (VectorSize::Quad, Sk::Sint),
                    0b0110 => (VectorSize::Bi, Sk::Uint),
                    0b0111 => (VectorSize::Tri, Sk::Uint),
                    _ => (VectorSize::Quad, Sk::Uint),
                };

                let ty = || TypeInner::Vector { size, kind, width };
                let args = vec![ty(), ty()];

                let fun = MacroCall::Binary(match name {
                    "lessThan" => BinaryOperator::Less,
                    "greaterThan" => BinaryOperator::Greater,
                    "lessThanEqual" => BinaryOperator::LessEqual,
                    "greaterThanEqual" => BinaryOperator::GreaterEqual,
                    "equal" => BinaryOperator::Equal,
                    "notEqual" => BinaryOperator::NotEqual,
                    _ => unreachable!(),
                });

                declaration.overloads.push(module.add_builtin(args, fun))
            }
        }
        "min" | "max" => {
            // bits layout
            // bit 0 trough 1 - scalar kind
            // bit 2 trough 4 - dims
            for bits in 0..0b11100 {
                let kind = match bits & 0b11 {
                    0b00 => Sk::Float,
                    0b01 => Sk::Sint,
                    0b10 => Sk::Uint,
                    _ => continue,
                };
                let (size, second_size) = match bits >> 2 {
                    0b000 => (None, None),
                    0b001 => (Some(VectorSize::Bi), None),
                    0b010 => (Some(VectorSize::Tri), None),
                    0b011 => (Some(VectorSize::Quad), None),
                    0b100 => (Some(VectorSize::Bi), Some(VectorSize::Bi)),
                    0b101 => (Some(VectorSize::Tri), Some(VectorSize::Tri)),
                    _ => (Some(VectorSize::Quad), Some(VectorSize::Quad)),
                };

                let args = vec![
                    match size {
                        Some(size) => TypeInner::Vector { size, kind, width },
                        None => TypeInner::Scalar { kind, width },
                    },
                    match second_size {
                        Some(size) => TypeInner::Vector { size, kind, width },
                        None => TypeInner::Scalar { kind, width },
                    },
                ];

                let fun = match name {
                    "max" => MacroCall::Splatted(MathFunction::Max, size, 1),
                    "min" => MacroCall::Splatted(MathFunction::Min, size, 1),
                    _ => unreachable!(),
                };

                declaration.overloads.push(module.add_builtin(args, fun))
            }
        }
        "mix" => {
            // bits layout
            // bit 0 trough 1 - dims
            // bit 2 trough 4 - types
            //
            // 0b10011 is the last element since splatted single elements
            // were already added
            for bits in 0..0b10011 {
                let size = match bits & 0b11 {
                    0b00 => Some(VectorSize::Bi),
                    0b01 => Some(VectorSize::Tri),
                    0b10 => Some(VectorSize::Quad),
                    _ => None,
                };
                let (kind, splatted, boolean) = match bits >> 2 {
                    0b000 => (Sk::Sint, false, true),
                    0b001 => (Sk::Uint, false, true),
                    0b010 => (Sk::Float, false, true),
                    0b011 => (Sk::Float, false, false),
                    _ => (Sk::Float, true, false),
                };

                let ty = |kind, width| match size {
                    Some(size) => TypeInner::Vector { size, kind, width },
                    None => TypeInner::Scalar { kind, width },
                };
                let args = vec![
                    ty(kind, width),
                    ty(kind, width),
                    match (boolean, splatted) {
                        (true, _) => ty(Sk::Bool, crate::BOOL_WIDTH),
                        (_, false) => TypeInner::Scalar { kind, width },
                        _ => ty(kind, width),
                    },
                ];

                declaration.overloads.push(module.add_builtin(
                    args,
                    match boolean {
                        true => MacroCall::MixBoolean,
                        false => MacroCall::Splatted(MathFunction::Mix, size, 2),
                    },
                ))
            }
        }
        "clamp" => {
            // bits layout
            // bit 0 trough 1 - float/int/uint
            // bit 2 trough 3 - dims
            // bit 4 - splatted
            //
            // 0b11010 is the last element since splatted single elements
            // were already added
            for bits in 0..0b11011 {
                let kind = match bits & 0b11 {
                    0b00 => Sk::Float,
                    0b01 => Sk::Sint,
                    0b10 => Sk::Uint,
                    _ => continue,
                };
                let size = match (bits >> 2) & 0b11 {
                    0b00 => Some(VectorSize::Bi),
                    0b01 => Some(VectorSize::Tri),
                    0b10 => Some(VectorSize::Quad),
                    _ => None,
                };
                let splatted = bits & 0b10000 == 0b10000;

                let base_ty = || match size {
                    Some(size) => TypeInner::Vector { size, kind, width },
                    None => TypeInner::Scalar { kind, width },
                };
                let limit_ty = || match splatted {
                    true => TypeInner::Scalar { kind, width },
                    false => base_ty(),
                };

                let args = vec![base_ty(), limit_ty(), limit_ty()];

                declaration
                    .overloads
                    .push(module.add_builtin(args, MacroCall::Clamp(size)))
            }
        }
        "barrier" => declaration
            .overloads
            .push(module.add_builtin(Vec::new(), MacroCall::Barrier)),
        // Add common builtins with floats
        _ => inject_common_builtin(declaration, module, name, 4),
    }
}

/// Injects the builtins into declaration that need doubles
fn inject_double_builtin(declaration: &mut FunctionDeclaration, module: &mut Module, name: &str) {
    let width = 8;
    match name {
        "abs" | "sign" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b100 {
                let size = match bits {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };
                let kind = Sk::Float;

                let args = vec![match size {
                    Some(size) => TypeInner::Vector { size, kind, width },
                    None => TypeInner::Scalar { kind, width },
                }];

                declaration.overloads.push(module.add_builtin(
                    args,
                    MacroCall::MathFunction(match name {
                        "abs" => MathFunction::Abs,
                        "sign" => MathFunction::Sign,
                        _ => unreachable!(),
                    }),
                ))
            }
        }
        "min" | "max" => {
            // bits layout
            // bit 0 trough 2 - dims
            for bits in 0..0b111 {
                let (size, second_size) = match bits {
                    0b000 => (None, None),
                    0b001 => (Some(VectorSize::Bi), None),
                    0b010 => (Some(VectorSize::Tri), None),
                    0b011 => (Some(VectorSize::Quad), None),
                    0b100 => (Some(VectorSize::Bi), Some(VectorSize::Bi)),
                    0b101 => (Some(VectorSize::Tri), Some(VectorSize::Tri)),
                    _ => (Some(VectorSize::Quad), Some(VectorSize::Quad)),
                };
                let kind = Sk::Float;

                let args = vec![
                    match size {
                        Some(size) => TypeInner::Vector { size, kind, width },
                        None => TypeInner::Scalar { kind, width },
                    },
                    match second_size {
                        Some(size) => TypeInner::Vector { size, kind, width },
                        None => TypeInner::Scalar { kind, width },
                    },
                ];

                let fun = match name {
                    "max" => MacroCall::Splatted(MathFunction::Max, size, 1),
                    "min" => MacroCall::Splatted(MathFunction::Min, size, 1),
                    _ => unreachable!(),
                };

                declaration.overloads.push(module.add_builtin(args, fun))
            }
        }
        "mix" => {
            // bits layout
            // bit 0 trough 1 - dims
            // bit 2 trough 3 - splatted/boolean
            //
            // 0b1010 is the last element since splatted with single elements
            // is equal to normal single elements
            for bits in 0..0b1011 {
                let size = match bits & 0b11 {
                    0b00 => Some(VectorSize::Quad),
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => None,
                };
                let kind = Sk::Float;
                let (splatted, boolean) = match bits >> 2 {
                    0b00 => (false, false),
                    0b01 => (false, true),
                    _ => (true, false),
                };

                let ty = |kind, width| match size {
                    Some(size) => TypeInner::Vector { size, kind, width },
                    None => TypeInner::Scalar { kind, width },
                };
                let args = vec![
                    ty(kind, width),
                    ty(kind, width),
                    match (boolean, splatted) {
                        (true, _) => ty(Sk::Bool, crate::BOOL_WIDTH),
                        (_, false) => TypeInner::Scalar { kind, width },
                        _ => ty(kind, width),
                    },
                ];

                declaration.overloads.push(module.add_builtin(
                    args,
                    match boolean {
                        true => MacroCall::MixBoolean,
                        false => MacroCall::Splatted(MathFunction::Mix, size, 2),
                    },
                ))
            }
        }
        "clamp" => {
            // bits layout
            // bit 0 trough 1 - dims
            // bit 2 - splatted
            //
            // 0b110 is the last element since splatted with single elements
            // is equal to normal single elements
            for bits in 0..0b111 {
                let kind = Sk::Float;
                let size = match bits & 0b11 {
                    0b00 => Some(VectorSize::Bi),
                    0b01 => Some(VectorSize::Tri),
                    0b10 => Some(VectorSize::Quad),
                    _ => None,
                };
                let splatted = bits & 0b100 == 0b100;

                let base_ty = || match size {
                    Some(size) => TypeInner::Vector { size, kind, width },
                    None => TypeInner::Scalar { kind, width },
                };
                let limit_ty = || match splatted {
                    true => TypeInner::Scalar { kind, width },
                    false => base_ty(),
                };

                let args = vec![base_ty(), limit_ty(), limit_ty()];

                declaration
                    .overloads
                    .push(module.add_builtin(args, MacroCall::Clamp(size)))
            }
        }
        // Add common builtins with doubles
        _ => inject_common_builtin(declaration, module, name, 8),
    }
}

/// Injects the builtins into declaration that can used either float or doubles
fn inject_common_builtin(
    declaration: &mut FunctionDeclaration,
    module: &mut Module,
    name: &str,
    float_width: crate::Bytes,
) {
    match name {
        "ceil" | "round" | "roundEven" | "floor" | "fract" | "trunc" | "sqrt" | "inversesqrt"
        | "normalize" | "length" | "isinf" | "isnan" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b100 {
                let size = match bits {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };

                let args = vec![match size {
                    Some(size) => TypeInner::Vector {
                        size,
                        kind: Sk::Float,
                        width: float_width,
                    },
                    None => TypeInner::Scalar {
                        kind: Sk::Float,
                        width: float_width,
                    },
                }];

                let fun = match name {
                    "ceil" => MacroCall::MathFunction(MathFunction::Ceil),
                    "round" | "roundEven" => MacroCall::MathFunction(MathFunction::Round),
                    "floor" => MacroCall::MathFunction(MathFunction::Floor),
                    "fract" => MacroCall::MathFunction(MathFunction::Fract),
                    "trunc" => MacroCall::MathFunction(MathFunction::Trunc),
                    "sqrt" => MacroCall::MathFunction(MathFunction::Sqrt),
                    "inversesqrt" => MacroCall::MathFunction(MathFunction::InverseSqrt),
                    "normalize" => MacroCall::MathFunction(MathFunction::Normalize),
                    "length" => MacroCall::MathFunction(MathFunction::Length),
                    "isinf" => MacroCall::Relational(RelationalFunction::IsInf),
                    "isnan" => MacroCall::Relational(RelationalFunction::IsNan),
                    _ => unreachable!(),
                };

                declaration.overloads.push(module.add_builtin(args, fun))
            }
        }
        "dot" | "reflect" | "distance" | "ldexp" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b100 {
                let size = match bits {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };
                let ty = || match size {
                    Some(size) => TypeInner::Vector {
                        size,
                        kind: Sk::Float,
                        width: float_width,
                    },
                    None => TypeInner::Scalar {
                        kind: Sk::Float,
                        width: float_width,
                    },
                };

                let fun = match name {
                    "dot" => MacroCall::MathFunction(MathFunction::Dot),
                    "reflect" => MacroCall::MathFunction(MathFunction::Reflect),
                    "distance" => MacroCall::MathFunction(MathFunction::Distance),
                    "ldexp" => MacroCall::MathFunction(MathFunction::Ldexp),
                    _ => unreachable!(),
                };

                declaration
                    .overloads
                    .push(module.add_builtin(vec![ty(), ty()], fun))
            }
        }
        "transpose" => {
            // bits layout
            // bit 0 trough 3 - dims
            for bits in 0..0b1001 {
                let (rows, columns) = match bits {
                    0b0000 => (VectorSize::Bi, VectorSize::Bi),
                    0b0001 => (VectorSize::Bi, VectorSize::Tri),
                    0b0010 => (VectorSize::Bi, VectorSize::Quad),
                    0b0011 => (VectorSize::Tri, VectorSize::Bi),
                    0b0100 => (VectorSize::Tri, VectorSize::Tri),
                    0b0101 => (VectorSize::Tri, VectorSize::Quad),
                    0b0110 => (VectorSize::Quad, VectorSize::Bi),
                    0b0111 => (VectorSize::Quad, VectorSize::Tri),
                    _ => (VectorSize::Quad, VectorSize::Quad),
                };

                declaration.overloads.push(module.add_builtin(
                    vec![TypeInner::Matrix {
                        columns,
                        rows,
                        width: float_width,
                    }],
                    MacroCall::MathFunction(MathFunction::Transpose),
                ))
            }
        }
        "inverse" | "determinant" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b11 {
                let (rows, columns) = match bits {
                    0b00 => (VectorSize::Bi, VectorSize::Bi),
                    0b01 => (VectorSize::Tri, VectorSize::Tri),
                    _ => (VectorSize::Quad, VectorSize::Quad),
                };

                let args = vec![TypeInner::Matrix {
                    columns,
                    rows,
                    width: float_width,
                }];

                declaration.overloads.push(module.add_builtin(
                    args,
                    MacroCall::MathFunction(match name {
                        "inverse" => MathFunction::Inverse,
                        "determinant" => MathFunction::Determinant,
                        _ => unreachable!(),
                    }),
                ))
            }
        }
        "mod" | "step" => {
            // bits layout
            // bit 0 trough 2 - dims
            for bits in 0..0b111 {
                let (size, second_size) = match bits {
                    0b000 => (None, None),
                    0b001 => (Some(VectorSize::Bi), None),
                    0b010 => (Some(VectorSize::Tri), None),
                    0b011 => (Some(VectorSize::Quad), None),
                    0b100 => (Some(VectorSize::Bi), Some(VectorSize::Bi)),
                    0b101 => (Some(VectorSize::Tri), Some(VectorSize::Tri)),
                    _ => (Some(VectorSize::Quad), Some(VectorSize::Quad)),
                };

                let mut args = Vec::with_capacity(2);
                let step = name == "step";

                for i in 0..2 {
                    let maybe_size = match i == step as u32 {
                        true => size,
                        false => second_size,
                    };

                    args.push(match maybe_size {
                        Some(size) => TypeInner::Vector {
                            size,
                            kind: Sk::Float,
                            width: float_width,
                        },
                        None => TypeInner::Scalar {
                            kind: Sk::Float,
                            width: float_width,
                        },
                    })
                }

                let fun = match name {
                    "mod" => MacroCall::Mod(size),
                    "step" => MacroCall::Splatted(MathFunction::Step, size, 0),
                    _ => unreachable!(),
                };

                declaration.overloads.push(module.add_builtin(args, fun))
            }
        }
        "modf" | "frexp" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b100 {
                let size = match bits {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };

                let ty = module.types.insert(
                    Type {
                        name: None,
                        inner: match size {
                            Some(size) => TypeInner::Vector {
                                size,
                                kind: Sk::Float,
                                width: float_width,
                            },
                            None => TypeInner::Scalar {
                                kind: Sk::Float,
                                width: float_width,
                            },
                        },
                    },
                    Span::default(),
                );

                let parameters = vec![ty, ty];

                let fun = match name {
                    "modf" => MacroCall::MathFunction(MathFunction::Modf),
                    "frexp" => MacroCall::MathFunction(MathFunction::Frexp),
                    _ => unreachable!(),
                };

                declaration.overloads.push(Overload {
                    parameters,
                    parameters_info: vec![
                        ParameterInfo {
                            qualifier: ParameterQualifier::In,
                            depth: false,
                        },
                        ParameterInfo {
                            qualifier: ParameterQualifier::Out,
                            depth: false,
                        },
                    ],
                    kind: FunctionKind::Macro(fun),
                    defined: false,
                    internal: true,
                    void: false,
                })
            }
        }
        "cross" => {
            let args = vec![
                TypeInner::Vector {
                    size: VectorSize::Tri,
                    kind: Sk::Float,
                    width: float_width,
                },
                TypeInner::Vector {
                    size: VectorSize::Tri,
                    kind: Sk::Float,
                    width: float_width,
                },
            ];

            declaration
                .overloads
                .push(module.add_builtin(args, MacroCall::MathFunction(MathFunction::Cross)))
        }
        "outerProduct" => {
            // bits layout
            // bit 0 trough 3 - dims
            for bits in 0..0b1001 {
                let (size1, size2) = match bits {
                    0b0000 => (VectorSize::Bi, VectorSize::Bi),
                    0b0001 => (VectorSize::Bi, VectorSize::Tri),
                    0b0010 => (VectorSize::Bi, VectorSize::Quad),
                    0b0011 => (VectorSize::Tri, VectorSize::Bi),
                    0b0100 => (VectorSize::Tri, VectorSize::Tri),
                    0b0101 => (VectorSize::Tri, VectorSize::Quad),
                    0b0110 => (VectorSize::Quad, VectorSize::Bi),
                    0b0111 => (VectorSize::Quad, VectorSize::Tri),
                    _ => (VectorSize::Quad, VectorSize::Quad),
                };

                let args = vec![
                    TypeInner::Vector {
                        size: size1,
                        kind: Sk::Float,
                        width: float_width,
                    },
                    TypeInner::Vector {
                        size: size2,
                        kind: Sk::Float,
                        width: float_width,
                    },
                ];

                declaration
                    .overloads
                    .push(module.add_builtin(args, MacroCall::MathFunction(MathFunction::Outer)))
            }
        }
        "faceforward" | "fma" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b100 {
                let size = match bits {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };

                let ty = || match size {
                    Some(size) => TypeInner::Vector {
                        size,
                        kind: Sk::Float,
                        width: float_width,
                    },
                    None => TypeInner::Scalar {
                        kind: Sk::Float,
                        width: float_width,
                    },
                };
                let args = vec![ty(), ty(), ty()];

                let fun = match name {
                    "faceforward" => MacroCall::MathFunction(MathFunction::FaceForward),
                    "fma" => MacroCall::MathFunction(MathFunction::Fma),
                    _ => unreachable!(),
                };

                declaration.overloads.push(module.add_builtin(args, fun))
            }
        }
        "refract" => {
            // bits layout
            // bit 0 trough 1 - dims
            for bits in 0..0b100 {
                let size = match bits {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };

                let ty = || match size {
                    Some(size) => TypeInner::Vector {
                        size,
                        kind: Sk::Float,
                        width: float_width,
                    },
                    None => TypeInner::Scalar {
                        kind: Sk::Float,
                        width: float_width,
                    },
                };
                let args = vec![
                    ty(),
                    ty(),
                    TypeInner::Scalar {
                        kind: Sk::Float,
                        width: 4,
                    },
                ];
                declaration
                    .overloads
                    .push(module.add_builtin(args, MacroCall::MathFunction(MathFunction::Refract)))
            }
        }
        "smoothstep" => {
            // bit 0 - splatted
            // bit 1 trough 2 - dims
            for bits in 0..0b1000 {
                let splatted = bits & 0b1 == 0b1;
                let size = match bits >> 1 {
                    0b00 => None,
                    0b01 => Some(VectorSize::Bi),
                    0b10 => Some(VectorSize::Tri),
                    _ => Some(VectorSize::Quad),
                };

                if splatted && size.is_none() {
                    continue;
                }

                let base_ty = || match size {
                    Some(size) => TypeInner::Vector {
                        size,
                        kind: Sk::Float,
                        width: float_width,
                    },
                    None => TypeInner::Scalar {
                        kind: Sk::Float,
                        width: float_width,
                    },
                };
                let ty = || match splatted {
                    true => TypeInner::Scalar {
                        kind: Sk::Float,
                        width: float_width,
                    },
                    false => base_ty(),
                };
                declaration.overloads.push(module.add_builtin(
                    vec![ty(), ty(), base_ty()],
                    MacroCall::SmoothStep { splatted: size },
                ))
            }
        }
        // The function isn't a builtin or we don't yet support it
        _ => {}
    }
}

#[derive(Clone, Copy, PartialEq, Debug)]
pub enum TextureLevelType {
    None,
    Lod,
    Grad,
}

/// A compiler defined builtin function
#[derive(Clone, Copy, PartialEq, Debug)]
pub enum MacroCall {
    Sampler,
    SamplerShadow,
    Texture {
        proj: bool,
        offset: bool,
        shadow: bool,
        level_type: TextureLevelType,
    },
    TextureSize {
        arrayed: bool,
    },
    ImageLoad {
        multi: bool,
    },
    ImageStore,
    MathFunction(MathFunction),
    FindLsbUint,
    FindMsbUint,
    BitfieldExtract,
    BitfieldInsert,
    Relational(RelationalFunction),
    Binary(BinaryOperator),
    Mod(Option<VectorSize>),
    Splatted(MathFunction, Option<VectorSize>, usize),
    MixBoolean,
    Clamp(Option<VectorSize>),
    BitCast(Sk),
    Derivate(DerivativeAxis),
    Barrier,
    /// SmoothStep needs a separate variant because it might need it's inputs
    /// to be splatted depending on the overload
    SmoothStep {
        /// The size of the splat operation if some
        splatted: Option<VectorSize>,
    },
}

impl MacroCall {
    /// Adds the necessary expressions and statements to the passed body and
    /// finally returns the final expression with the correct result
    pub fn call(
        &self,
        parser: &mut Parser,
        ctx: &mut Context,
        body: &mut Block,
        args: &mut [Handle<Expression>],
        meta: Span,
    ) -> Result<Option<Handle<Expression>>> {
        Ok(Some(match *self {
            MacroCall::Sampler => {
                ctx.samplers.insert(args[0], args[1]);
                args[0]
            }
            MacroCall::SamplerShadow => {
                sampled_to_depth(&mut parser.module, ctx, args[0], meta, &mut parser.errors);
                parser.invalidate_expression(ctx, args[0], meta)?;
                ctx.samplers.insert(args[0], args[1]);
                args[0]
            }
            MacroCall::Texture {
                proj,
                offset,
                shadow,
                level_type,
            } => {
                let mut coords = args[1];

                if proj {
                    let size = match *parser.resolve_type(ctx, coords, meta)? {
                        TypeInner::Vector { size, .. } => size,
                        _ => unreachable!(),
                    };
                    let mut right = ctx.add_expression(
                        Expression::AccessIndex {
                            base: coords,
                            index: size as u32 - 1,
                        },
                        Span::default(),
                        body,
                    );
                    let left = if let VectorSize::Bi = size {
                        ctx.add_expression(
                            Expression::AccessIndex {
                                base: coords,
                                index: 0,
                            },
                            Span::default(),
                            body,
                        )
                    } else {
                        let size = match size {
                            VectorSize::Tri => VectorSize::Bi,
                            _ => VectorSize::Tri,
                        };
                        right = ctx.add_expression(
                            Expression::Splat { size, value: right },
                            Span::default(),
                            body,
                        );
                        ctx.vector_resize(size, coords, Span::default(), body)
                    };
                    coords = ctx.add_expression(
                        Expression::Binary {
                            op: BinaryOperator::Divide,
                            left,
                            right,
                        },
                        Span::default(),
                        body,
                    );
                }

                let extra = args.get(2).copied();
                let comps =
                    parser.coordinate_components(ctx, args[0], coords, extra, meta, body)?;

                let mut num_args = 2;

                if comps.used_extra {
                    num_args += 1;
                };

                // Parse out explicit texture level.
                let mut level = match level_type {
                    TextureLevelType::None => SampleLevel::Auto,

                    TextureLevelType::Lod => {
                        num_args += 1;

                        if shadow {
                            log::warn!("Assuming LOD {:?} is zero", args[2],);

                            SampleLevel::Zero
                        } else {
                            SampleLevel::Exact(args[2])
                        }
                    }

                    TextureLevelType::Grad => {
                        num_args += 2;

                        if shadow {
                            log::warn!(
                                "Assuming gradients {:?} and {:?} are not greater than 1",
                                args[2],
                                args[3],
                            );
                            SampleLevel::Zero
                        } else {
                            SampleLevel::Gradient {
                                x: args[2],
                                y: args[3],
                            }
                        }
                    }
                };

                let texture_offset = match offset {
                    true => {
                        let offset_arg = args[num_args];
                        num_args += 1;
                        match parser.solve_constant(ctx, offset_arg, meta) {
                            Ok(v) => Some(v),
                            Err(e) => {
                                parser.errors.push(e);
                                None
                            }
                        }
                    }
                    false => None,
                };

                // Now go back and look for optional bias arg (if available)
                if let TextureLevelType::None = level_type {
                    level = args
                        .get(num_args)
                        .copied()
                        .map_or(SampleLevel::Auto, SampleLevel::Bias);
                }

                texture_call(ctx, args[0], level, comps, texture_offset, body, meta)?
            }

            MacroCall::TextureSize { arrayed } => {
                let mut expr = ctx.add_expression(
                    Expression::ImageQuery {
                        image: args[0],
                        query: ImageQuery::Size {
                            level: args.get(1).copied(),
                        },
                    },
                    Span::default(),
                    body,
                );

                if arrayed {
                    let mut components = Vec::with_capacity(4);

                    let size = match *parser.resolve_type(ctx, expr, meta)? {
                        TypeInner::Vector { size: ori_size, .. } => {
                            for index in 0..(ori_size as u32) {
                                components.push(ctx.add_expression(
                                    Expression::AccessIndex { base: expr, index },
                                    Span::default(),
                                    body,
                                ))
                            }

                            match ori_size {
                                VectorSize::Bi => VectorSize::Tri,
                                _ => VectorSize::Quad,
                            }
                        }
                        _ => {
                            components.push(expr);
                            VectorSize::Bi
                        }
                    };

                    components.push(ctx.add_expression(
                        Expression::ImageQuery {
                            image: args[0],
                            query: ImageQuery::NumLayers,
                        },
                        Span::default(),
                        body,
                    ));

                    let ty = parser.module.types.insert(
                        Type {
                            name: None,
                            inner: TypeInner::Vector {
                                size,
                                kind: crate::ScalarKind::Sint,
                                width: 4,
                            },
                        },
                        Span::default(),
                    );

                    expr = ctx.add_expression(Expression::Compose { components, ty }, meta, body)
                }

                expr
            }
            MacroCall::ImageLoad { multi } => {
                let comps =
                    parser.coordinate_components(ctx, args[0], args[1], None, meta, body)?;
                let (sample, level) = match (multi, args.get(2)) {
                    (_, None) => (None, None),
                    (true, Some(&arg)) => (Some(arg), None),
                    (false, Some(&arg)) => (None, Some(arg)),
                };
                ctx.add_expression(
                    Expression::ImageLoad {
                        image: args[0],
                        coordinate: comps.coordinate,
                        array_index: comps.array_index,
                        sample,
                        level,
                    },
                    Span::default(),
                    body,
                )
            }
            MacroCall::ImageStore => {
                let comps =
                    parser.coordinate_components(ctx, args[0], args[1], None, meta, body)?;
                ctx.emit_restart(body);
                body.push(
                    crate::Statement::ImageStore {
                        image: args[0],
                        coordinate: comps.coordinate,
                        array_index: comps.array_index,
                        value: args[2],
                    },
                    meta,
                );
                return Ok(None);
            }
            MacroCall::MathFunction(fun) => ctx.add_expression(
                Expression::Math {
                    fun,
                    arg: args[0],
                    arg1: args.get(1).copied(),
                    arg2: args.get(2).copied(),
                    arg3: args.get(3).copied(),
                },
                Span::default(),
                body,
            ),
            mc @ (MacroCall::FindLsbUint | MacroCall::FindMsbUint) => {
                let fun = match mc {
                    MacroCall::FindLsbUint => MathFunction::FindLsb,
                    MacroCall::FindMsbUint => MathFunction::FindMsb,
                    _ => unreachable!(),
                };
                let res = ctx.add_expression(
                    Expression::Math {
                        fun,
                        arg: args[0],
                        arg1: None,
                        arg2: None,
                        arg3: None,
                    },
                    Span::default(),
                    body,
                );
                ctx.add_expression(
                    Expression::As {
                        expr: res,
                        kind: Sk::Sint,
                        convert: Some(4),
                    },
                    Span::default(),
                    body,
                )
            }
            MacroCall::BitfieldInsert => {
                let conv_arg_2 = ctx.add_expression(
                    Expression::As {
                        expr: args[2],
                        kind: Sk::Uint,
                        convert: Some(4),
                    },
                    Span::default(),
                    body,
                );
                let conv_arg_3 = ctx.add_expression(
                    Expression::As {
                        expr: args[3],
                        kind: Sk::Uint,
                        convert: Some(4),
                    },
                    Span::default(),
                    body,
                );
                ctx.add_expression(
                    Expression::Math {
                        fun: MathFunction::InsertBits,
                        arg: args[0],
                        arg1: Some(args[1]),
                        arg2: Some(conv_arg_2),
                        arg3: Some(conv_arg_3),
                    },
                    Span::default(),
                    body,
                )
            }
            MacroCall::BitfieldExtract => {
                let conv_arg_1 = ctx.add_expression(
                    Expression::As {
                        expr: args[1],
                        kind: Sk::Uint,
                        convert: Some(4),
                    },
                    Span::default(),
                    body,
                );
                let conv_arg_2 = ctx.add_expression(
                    Expression::As {
                        expr: args[2],
                        kind: Sk::Uint,
                        convert: Some(4),
                    },
                    Span::default(),
                    body,
                );
                ctx.add_expression(
                    Expression::Math {
                        fun: MathFunction::ExtractBits,
                        arg: args[0],
                        arg1: Some(conv_arg_1),
                        arg2: Some(conv_arg_2),
                        arg3: None,
                    },
                    Span::default(),
                    body,
                )
            }
            MacroCall::Relational(fun) => ctx.add_expression(
                Expression::Relational {
                    fun,
                    argument: args[0],
                },
                Span::default(),
                body,
            ),
            MacroCall::Binary(op) => ctx.add_expression(
                Expression::Binary {
                    op,
                    left: args[0],
                    right: args[1],
                },
                Span::default(),
                body,
            ),
            MacroCall::Mod(size) => {
                ctx.implicit_splat(parser, &mut args[1], meta, size)?;

                // x - y * floor(x / y)

                let div = ctx.add_expression(
                    Expression::Binary {
                        op: BinaryOperator::Divide,
                        left: args[0],
                        right: args[1],
                    },
                    Span::default(),
                    body,
                );
                let floor = ctx.add_expression(
                    Expression::Math {
                        fun: MathFunction::Floor,
                        arg: div,
                        arg1: None,
                        arg2: None,
                        arg3: None,
                    },
                    Span::default(),
                    body,
                );
                let mult = ctx.add_expression(
                    Expression::Binary {
                        op: BinaryOperator::Multiply,
                        left: floor,
                        right: args[1],
                    },
                    Span::default(),
                    body,
                );
                ctx.add_expression(
                    Expression::Binary {
                        op: BinaryOperator::Subtract,
                        left: args[0],
                        right: mult,
                    },
                    Span::default(),
                    body,
                )
            }
            MacroCall::Splatted(fun, size, i) => {
                ctx.implicit_splat(parser, &mut args[i], meta, size)?;

                ctx.add_expression(
                    Expression::Math {
                        fun,
                        arg: args[0],
                        arg1: args.get(1).copied(),
                        arg2: args.get(2).copied(),
                        arg3: args.get(3).copied(),
                    },
                    Span::default(),
                    body,
                )
            }
            MacroCall::MixBoolean => ctx.add_expression(
                Expression::Select {
                    condition: args[2],
                    accept: args[1],
                    reject: args[0],
                },
                Span::default(),
                body,
            ),
            MacroCall::Clamp(size) => {
                ctx.implicit_splat(parser, &mut args[1], meta, size)?;
                ctx.implicit_splat(parser, &mut args[2], meta, size)?;

                ctx.add_expression(
                    Expression::Math {
                        fun: MathFunction::Clamp,
                        arg: args[0],
                        arg1: args.get(1).copied(),
                        arg2: args.get(2).copied(),
                        arg3: args.get(3).copied(),
                    },
                    Span::default(),
                    body,
                )
            }
            MacroCall::BitCast(kind) => ctx.add_expression(
                Expression::As {
                    expr: args[0],
                    kind,
                    convert: None,
                },
                Span::default(),
                body,
            ),
            MacroCall::Derivate(axis) => ctx.add_expression(
                Expression::Derivative {
                    axis,
                    expr: args[0],
                },
                Span::default(),
                body,
            ),
            MacroCall::Barrier => {
                ctx.emit_restart(body);
                body.push(crate::Statement::Barrier(crate::Barrier::all()), meta);
                return Ok(None);
            }
            MacroCall::SmoothStep { splatted } => {
                ctx.implicit_splat(parser, &mut args[0], meta, splatted)?;
                ctx.implicit_splat(parser, &mut args[1], meta, splatted)?;

                ctx.add_expression(
                    Expression::Math {
                        fun: MathFunction::SmoothStep,
                        arg: args[0],
                        arg1: args.get(1).copied(),
                        arg2: args.get(2).copied(),
                        arg3: None,
                    },
                    Span::default(),
                    body,
                )
            }
        }))
    }
}

fn texture_call(
    ctx: &mut Context,
    image: Handle<Expression>,
    level: SampleLevel,
    comps: CoordComponents,
    offset: Option<Handle<Constant>>,
    body: &mut Block,
    meta: Span,
) -> Result<Handle<Expression>> {
    if let Some(sampler) = ctx.samplers.get(&image).copied() {
        let mut array_index = comps.array_index;

        if let Some(ref mut array_index_expr) = array_index {
            ctx.conversion(array_index_expr, meta, Sk::Sint, 4)?;
        }

        Ok(ctx.add_expression(
            Expression::ImageSample {
                image,
                sampler,
                gather: None, //TODO
                coordinate: comps.coordinate,
                array_index,
                offset,
                level,
                depth_ref: comps.depth_ref,
            },
            meta,
            body,
        ))
    } else {
        Err(Error {
            kind: ErrorKind::SemanticError("Bad call".into()),
            meta,
        })
    }
}

/// Helper struct for texture calls with the separate components from the vector argument
///
/// Obtained by calling [`coordinate_components`](Parser::coordinate_components)
#[derive(Debug)]
struct CoordComponents {
    coordinate: Handle<Expression>,
    depth_ref: Option<Handle<Expression>>,
    array_index: Option<Handle<Expression>>,
    used_extra: bool,
}

impl Parser {
    /// Helper function for texture calls, splits the vector argument into it's components
    fn coordinate_components(
        &mut self,
        ctx: &mut Context,
        image: Handle<Expression>,
        coord: Handle<Expression>,
        extra: Option<Handle<Expression>>,
        meta: Span,
        body: &mut Block,
    ) -> Result<CoordComponents> {
        if let TypeInner::Image {
            dim,
            arrayed,
            class,
        } = *self.resolve_type(ctx, image, meta)?
        {
            let image_size = match dim {
                Dim::D1 => None,
                Dim::D2 => Some(VectorSize::Bi),
                Dim::D3 => Some(VectorSize::Tri),
                Dim::Cube => Some(VectorSize::Tri),
            };
            let coord_size = match *self.resolve_type(ctx, coord, meta)? {
                TypeInner::Vector { size, .. } => Some(size),
                _ => None,
            };
            let (shadow, storage) = match class {
                ImageClass::Depth { .. } => (true, false),
                ImageClass::Storage { .. } => (false, true),
                _ => (false, false),
            };

            let coordinate = match (image_size, coord_size) {
                (Some(size), Some(coord_s)) if size != coord_s => {
                    ctx.vector_resize(size, coord, Span::default(), body)
                }
                (None, Some(_)) => ctx.add_expression(
                    Expression::AccessIndex {
                        base: coord,
                        index: 0,
                    },
                    Span::default(),
                    body,
                ),
                _ => coord,
            };

            let mut coord_index = image_size.map_or(1, |s| s as u32);

            let array_index = if arrayed && !(storage && dim == Dim::Cube) {
                let index = coord_index;
                coord_index += 1;

                Some(ctx.add_expression(
                    Expression::AccessIndex { base: coord, index },
                    Span::default(),
                    body,
                ))
            } else {
                None
            };
            let mut used_extra = false;
            let depth_ref = match shadow {
                true => {
                    let index = coord_index;

                    if index == 4 {
                        used_extra = true;
                        extra
                    } else {
                        Some(ctx.add_expression(
                            Expression::AccessIndex { base: coord, index },
                            Span::default(),
                            body,
                        ))
                    }
                }
                false => None,
            };

            Ok(CoordComponents {
                coordinate,
                depth_ref,
                array_index,
                used_extra,
            })
        } else {
            self.errors.push(Error {
                kind: ErrorKind::SemanticError("Type is not an image".into()),
                meta,
            });

            Ok(CoordComponents {
                coordinate: coord,
                depth_ref: None,
                array_index: None,
                used_extra: false,
            })
        }
    }
}

/// Helper function to cast a expression holding a sampled image to a
/// depth image.
pub fn sampled_to_depth(
    module: &mut Module,
    ctx: &mut Context,
    image: Handle<Expression>,
    meta: Span,
    errors: &mut Vec<Error>,
) {
    // Get the a mutable type handle of the underlying image storage
    let ty = match ctx[image] {
        Expression::GlobalVariable(handle) => &mut module.global_variables.get_mut(handle).ty,
        Expression::FunctionArgument(i) => {
            // Mark the function argument as carrying a depth texture
            ctx.parameters_info[i as usize].depth = true;
            // NOTE: We need to later also change the parameter type
            &mut ctx.arguments[i as usize].ty
        }
        _ => {
            // Only globals and function arguments are allowed to carry an image
            return errors.push(Error {
                kind: ErrorKind::SemanticError("Not a valid texture expression".into()),
                meta,
            });
        }
    };

    match module.types[*ty].inner {
        // Update the image class to depth in case it already isn't
        TypeInner::Image {
            class,
            dim,
            arrayed,
        } => match class {
            ImageClass::Sampled { multi, .. } => {
                *ty = module.types.insert(
                    Type {
                        name: None,
                        inner: TypeInner::Image {
                            dim,
                            arrayed,
                            class: ImageClass::Depth { multi },
                        },
                    },
                    Span::default(),
                )
            }
            ImageClass::Depth { .. } => {}
            // Other image classes aren't allowed to be transformed to depth
            _ => errors.push(Error {
                kind: ErrorKind::SemanticError("Not a texture".into()),
                meta,
            }),
        },
        _ => errors.push(Error {
            kind: ErrorKind::SemanticError("Not a texture".into()),
            meta,
        }),
    };

    // Copy the handle to allow borrowing the `ctx` again
    let ty = *ty;

    // If the image was passed trough a function argument we also need to change
    // the corresponding parameter
    if let Expression::FunctionArgument(i) = ctx[image] {
        ctx.parameters[i as usize] = ty;
    }
}

bitflags::bitflags! {
    /// Influences the operation `texture_args_generator`
    struct TextureArgsOptions: u32 {
        /// Generates multisampled variants of images
        const MULTI = 1 << 0;
        /// Generates shadow variants of images
        const SHADOW = 1 << 1;
        /// Generates standard images
        const STANDARD = 1 << 2;
        /// Generates cube arrayed images
        const CUBE_ARRAY = 1 << 3;
        /// Generates cube arrayed images
        const D2_MULTI_ARRAY = 1 << 4;
    }
}

impl From<BuiltinVariations> for TextureArgsOptions {
    fn from(variations: BuiltinVariations) -> Self {
        let mut options = TextureArgsOptions::empty();
        if variations.contains(BuiltinVariations::STANDARD) {
            options |= TextureArgsOptions::STANDARD
        }
        if variations.contains(BuiltinVariations::CUBE_TEXTURES_ARRAY) {
            options |= TextureArgsOptions::CUBE_ARRAY
        }
        if variations.contains(BuiltinVariations::D2_MULTI_TEXTURES_ARRAY) {
            options |= TextureArgsOptions::D2_MULTI_ARRAY
        }
        options
    }
}

/// Helper function to generate the image components for texture/image builtins
///
/// Calls the passed function `f` with:
/// ```text
/// f(ScalarKind, ImageDimension, arrayed, multi, shadow)
/// ```
///
/// `options` controls extra image variants generation like multisampling and depth,
/// see the struct documentation
fn texture_args_generator(
    options: TextureArgsOptions,
    mut f: impl FnMut(crate::ScalarKind, Dim, bool, bool, bool),
) {
    for kind in [Sk::Float, Sk::Uint, Sk::Sint].iter().copied() {
        for dim in [Dim::D1, Dim::D2, Dim::D3, Dim::Cube].iter().copied() {
            for arrayed in [false, true].iter().copied() {
                if dim == Dim::Cube && arrayed {
                    if !options.contains(TextureArgsOptions::CUBE_ARRAY) {
                        continue;
                    }
                } else if Dim::D2 == dim
                    && options.contains(TextureArgsOptions::MULTI)
                    && arrayed
                    && options.contains(TextureArgsOptions::D2_MULTI_ARRAY)
                {
                    // multisampling for sampler2DMSArray
                    f(kind, dim, arrayed, true, false);
                } else if !options.contains(TextureArgsOptions::STANDARD) {
                    continue;
                }

                f(kind, dim, arrayed, false, false);

                // 3D images can't be neither arrayed nor shadow
                // so we break out early, this way arrayed will always
                // be false and we won't hit the shadow branch
                if let Dim::D3 = dim {
                    break;
                }

                if Dim::D2 == dim && options.contains(TextureArgsOptions::MULTI) && !arrayed {
                    // multisampling
                    f(kind, dim, arrayed, true, false);
                }

                if Sk::Float == kind && options.contains(TextureArgsOptions::SHADOW) {
                    // shadow
                    f(kind, dim, arrayed, false, true);
                }
            }
        }
    }
}

/// Helper functions used to convert from a image dimension into a integer representing the
/// number of components needed for the coordinates vector (1 means scalar instead of vector)
const fn image_dims_to_coords_size(dim: Dim) -> usize {
    match dim {
        Dim::D1 => 1,
        Dim::D2 => 2,
        _ => 3,
    }
}


================================================
FILE: lib/naga/src/front/glsl/constants.rs
================================================
use crate::{
    arena::{Arena, Handle, UniqueArena},
    BinaryOperator, Constant, ConstantInner, Expression, ScalarKind, ScalarValue, Type, TypeInner,
    UnaryOperator,
};

#[derive(Debug)]
pub struct ConstantSolver<'a> {
    pub types: &'a mut UniqueArena<Type>,
    pub expressions: &'a Arena<Expression>,
    pub constants: &'a mut Arena<Constant>,
}

#[derive(Clone, Debug, PartialEq, thiserror::Error)]
pub enum ConstantSolvingError {
    #[error("Constants cannot access function arguments")]
    FunctionArg,
    #[error("Constants cannot access global variables")]
    GlobalVariable,
    #[error("Constants cannot access local variables")]
    LocalVariable,
    #[error("Cannot get the array length of a non array type")]
    InvalidArrayLengthArg,
    #[error("Constants cannot get the array length of a dynamically sized array")]
    ArrayLengthDynamic,
    #[error("Constants cannot call functions")]
    Call,
    #[error("Constants don't support atomic functions")]
    Atomic,
    #[error("Constants don't support relational functions")]
    Relational,
    #[error("Constants don't support derivative functions")]
    Derivative,
    #[error("Constants don't support select expressions")]
    Select,
    #[error("Constants don't support load expressions")]
    Load,
    #[error("Constants don't support image expressions")]
    ImageExpression,
    #[error("Cannot access the type")]
    InvalidAccessBase,
    #[error("Cannot access at the index")]
    InvalidAccessIndex,
    #[error("Cannot access with index of type")]
    InvalidAccessIndexTy,
    #[error("Constants don't support bitcasts")]
    Bitcast,
    #[error("Cannot cast type")]
    InvalidCastArg,
    #[error("Cannot apply the unary op to the argument")]
    InvalidUnaryOpArg,
    #[error("Cannot apply the binary op to the arguments")]
    InvalidBinaryOpArgs,
    #[error("Cannot apply math function to type")]
    InvalidMathArg,
    #[error("Splat is defined only on scalar values")]
    SplatScalarOnly,
    #[error("Can only swizzle vector constants")]
    SwizzleVectorOnly,
    #[error("Not implemented as constant expression: {0}")]
    NotImplemented(String),
}

impl<'a> ConstantSolver<'a> {
    pub fn solve(
        &mut self,
        expr: Handle<Expression>,
    ) -> Result<Handle<Constant>, ConstantSolvingError> {
        let span = self.expressions.get_span(expr);
        match self.expressions[expr] {
            Expression::Constant(constant) => Ok(constant),
            Expression::AccessIndex { base, index } => self.access(base, index as usize),
            Expression::Access { base, index } => {
                let index = self.solve(index)?;

                self.access(base, self.constant_index(index)?)
            }
            Expression::Splat {
                size,
                value: splat_value,
            } => {
                let value_constant = self.solve(splat_value)?;
                let ty = match self.constants[value_constant].inner {
                    ConstantInner::Scalar { ref value, width } => {
                        let kind = value.scalar_kind();
                        self.types.insert(
                            Type {
                                name: None,
                                inner: TypeInner::Vector { size, kind, width },
                            },
                            span,
                        )
                    }
                    ConstantInner::Composite { .. } => {
                        return Err(ConstantSolvingError::SplatScalarOnly);
                    }
                };

                let inner = ConstantInner::Composite {
                    ty,
                    components: vec![value_constant; size as usize],
                };
                Ok(self.register_constant(inner, span))
            }
            Expression::Swizzle {
                size,
                vector: src_vector,
                pattern,
            } => {
                let src_constant = self.solve(src_vector)?;
                let (ty, src_components) = match self.constants[src_constant].inner {
                    ConstantInner::Scalar { .. } => {
                        return Err(ConstantSolvingError::SwizzleVectorOnly);
                    }
                    ConstantInner::Composite {
                        ty,
                        components: ref src_components,
                    } => match self.types[ty].inner {
                        crate::TypeInner::Vector {
                            size: _,
                            kind,
                            width,
                        } => {
                            let dst_ty = self.types.insert(
                                Type {
                                    name: None,
                                    inner: crate::TypeInner::Vector { size, kind, width },
                                },
                                span,
                            );
                            (dst_ty, &src_components[..])
                        }
                        _ => {
                            return Err(ConstantSolvingError::SwizzleVectorOnly);
                        }
                    },
                };

                let components = pattern
                    .iter()
                    .map(|&sc| src_components[sc as usize])
                    .collect();
                let inner = ConstantInner::Composite { ty, components };

                Ok(self.register_constant(inner, span))
            }
            Expression::Compose { ty, ref components } => {
                let components = components
                    .iter()
                    .map(|c| self.solve(*c))
                    .collect::<Result<_, _>>()?;
                let inner = ConstantInner::Composite { ty, components };

                Ok(self.register_constant(inner, span))
            }
            Expression::Unary { expr, op } => {
                let expr_constant = self.solve(expr)?;

                self.unary_op(op, expr_constant, span)
            }
            Expression::Binary { left, right, op } => {
                let left_constant = self.solve(left)?;
                let right_constant = self.solve(right)?;

                self.binary_op(op, left_constant, right_constant, span)
            }
            Expression::Math {
                fun,
                arg,
                arg1,
                arg2,
                ..
            } => {
                let arg = self.solve(arg)?;
                let arg1 = arg1.map(|arg| self.solve(arg)).transpose()?;
                let arg2 = arg2.map(|arg| self.solve(arg)).transpose()?;

                let const0 = &self.constants[arg].inner;
                let const1 = arg1.map(|arg| &self.constants[arg].inner);
                let const2 = arg2.map(|arg| &self.constants[arg].inner);

                match fun {
                    crate::MathFunction::Pow => {
                        let (value, width) = match (const0, const1.unwrap()) {
                            (
                                &ConstantInner::Scalar {
                                    width,
                                    value: value0,
                                },
                                &ConstantInner::Scalar { value: value1, .. },
                            ) => (
                                match (value0, value1) {
                                    (ScalarValue::Sint(a), ScalarValue::Sint(b)) => {
                                        ScalarValue::Sint(a.pow(b as u32))
                                    }
                                    (ScalarValue::Uint(a), ScalarValue::Uint(b)) => {
                                        ScalarValue::Uint(a.pow(b as u32))
                                    }
                                    (ScalarValue::Float(a), ScalarValue::Float(b)) => {
                                        ScalarValue::Float(a.powf(b))
                                    }
                                    _ => return Err(ConstantSolvingError::InvalidMathArg),
                                },
                                width,
                            ),
                            _ => return Err(ConstantSolvingError::InvalidMathArg),
                        };

                        let inner = ConstantInner::Scalar { width, value };
                        Ok(self.register_constant(inner, span))
                    }
                    crate::MathFunction::Clamp => {
                        let (value, width) = match (const0, const1.unwrap(), const2.unwrap()) {
                            (
                                &ConstantInner::Scalar {
                                    width,
                                    value: value0,
                                },
                                &ConstantInner::Scalar { value: value1, .. },
                                &ConstantInner::Scalar { value: value2, .. },
                            ) => (
                                match (value0, value1, value2) {
                                    (
                                        ScalarValue::Sint(a),
                                        ScalarValue::Sint(b),
                                        ScalarValue::Sint(c),
                                    ) => ScalarValue::Sint(a.max(b).min(c)),
                                    (
                                        ScalarValue::Uint(a),
                                        ScalarValue::Uint(b),
                                        ScalarValue::Uint(c),
                                    ) => ScalarValue::Uint(a.max(b).min(c)),
                                    (
                                        ScalarValue::Float(a),
                                        ScalarValue::Float(b),
                                        ScalarValue::Float(c),
                                    ) => ScalarValue::Float(glsl_float_clamp(a, b, c)),
                                    _ => return Err(ConstantSolvingError::InvalidMathArg),
                                },
                                width,
                            ),
                            _ => {
                                return Err(ConstantSolvingError::NotImplemented(format!(
                                    "{:?} applied to vector values",
                                    fun
                                )))
                            }
                        };

                        let inner = ConstantInner::Scalar { width, value };
                        Ok(self.register_constant(inner, span))
                    }
                    _ => Err(ConstantSolvingError::NotImplemented(format!("{:?}", fun))),
                }
            }
            Expression::As {
                convert,
                expr,
                kind,
            } => {
                let expr_constant = self.solve(expr)?;

                match convert {
                    Some(width) => self.cast(expr_constant, kind, width, span),
                    None => Err(ConstantSolvingError::Bitcast),
                }
            }
            Expression::ArrayLength(expr) => {
                let array = self.solve(expr)?;

                match self.constants[array].inner {
                    ConstantInner::Scalar { .. } => {
                        Err(ConstantSolvingError::InvalidArrayLengthArg)
                    }
                    ConstantInner::Composite { ty, .. } => match self.types[ty].inner {
                        TypeInner::Array { size, .. } => match size {
                            crate::ArraySize::Constant(constant) => Ok(constant),
                            crate::ArraySize::Dynamic => {
                                Err(ConstantSolvingError::ArrayLengthDynamic)
                            }
                        },
                        _ => Err(ConstantSolvingError::InvalidArrayLengthArg),
                    },
                }
            }

            Expression::Load { .. } => Err(ConstantSolvingError::Load),
            Expression::Select { .. } => Err(ConstantSolvingError::Select),
            Expression::LocalVariable(_) => Err(ConstantSolvingError::LocalVariable),
            Expression::Derivative { .. } => Err(ConstantSolvingError::Derivative),
            Expression::Relational { .. } => Err(ConstantSolvingError::Relational),
            Expression::CallResult { .. } => Err(ConstantSolvingError::Call),
            Expression::AtomicResult { .. } => Err(ConstantSolvingError::Atomic),
            Expression::FunctionArgument(_) => Err(ConstantSolvingError::FunctionArg),
            Expression::GlobalVariable(_) => Err(ConstantSolvingError::GlobalVariable),
            Expression::ImageSample { .. }
            | Expression::ImageLoad { .. }
            | Expression::ImageQuery { .. } => Err(ConstantSolvingError::ImageExpression),
        }
    }

    fn access(
        &mut self,
        base: Handle<Expression>,
        index: usize,
    ) -> Result<Handle<Constant>, ConstantSolvingError> {
        let base = self.solve(base)?;

        match self.constants[base].inner {
            ConstantInner::Scalar { .. } => Err(ConstantSolvingError::InvalidAccessBase),
            ConstantInner::Composite { ty, ref components } => {
                match self.types[ty].inner {
                    TypeInner::Vector { .. }
                    | TypeInner::Matrix { .. }
                    | TypeInner::Array { .. }
                    | TypeInner::Struct { .. } => (),
                    _ => return Err(ConstantSolvingError::InvalidAccessBase),
                }

                components
                    .get(index)
                    .copied()
                    .ok_or(ConstantSolvingError::InvalidAccessIndex)
            }
        }
    }

    fn constant_index(&self, constant: Handle<Constant>) -> Result<usize, ConstantSolvingError> {
        match self.constants[constant].inner {
            ConstantInner::Scalar {
                value: ScalarValue::Uint(index),
                ..
            } => Ok(index as usize),
            _ => Err(ConstantSolvingError::InvalidAccessIndexTy),
        }
    }

    fn cast(
        &mut self,
        constant: Handle<Constant>,
        kind: ScalarKind,
        target_width: crate::Bytes,
        span: crate::Span,
    ) -> Result<Handle<Constant>, ConstantSolvingError> {
        let mut inner = self.constants[constant].inner.clone();

        match inner {
            ConstantInner::Scalar {
                ref mut value,
                ref mut width,
            } => {
                *width = target_width;
                *value = match kind {
                    ScalarKind::Sint => ScalarValue::Sint(match *value {
                        ScalarValue::Sint(v) => v,
                        ScalarValue::Uint(v) => v as i64,
                        ScalarValue::Float(v) => v as i64,
                        ScalarValue::Bool(v) => v as i64,
                    }),
                    ScalarKind::Uint => ScalarValue::Uint(match *value {
                        ScalarValue::Sint(v) => v as u64,
                        ScalarValue::Uint(v) => v,
                        ScalarValue::Float(v) => v as u64,
                        ScalarValue::Bool(v) => v as u64,
                    }),
                    ScalarKind::Float => ScalarValue::Float(match *value {
                        ScalarValue::Sint(v) => v as f64,
                        ScalarValue::Uint(v) => v as f64,
                        ScalarValue::Float(v) => v,
                        ScalarValue::Bool(v) => v as u64 as f64,
                    }),
                    ScalarKind::Bool => ScalarValue::Bool(match *value {
                        ScalarValue::Sint(v) => v != 0,
                        ScalarValue::Uint(v) => v != 0,
                        ScalarValue::Float(v) => v != 0.0,
                        ScalarValue::Bool(v) => v,
                    }),
                }
            }
            ConstantInner::Composite {
                ty,
                ref mut components,
            } => {
                match self.types[ty].inner {
                    TypeInner::Vector { .. } | TypeInner::Matrix { .. } => (),
                    _ => return Err(ConstantSolvingError::InvalidCastArg),
                }

                for component in components {
                    *component = self.cast(*component, kind, target_width, span)?;
                }
            }
        }

        Ok(self.register_constant(inner, span))
    }

    fn unary_op(
        &mut self,
        op: UnaryOperator,
        constant: Handle<Constant>,
        span: crate::Span,
    ) -> Result<Handle<Constant>, ConstantSolvingError> {
        let mut inner = self.constants[constant].inner.clone();

        match inner {
            ConstantInner::Scalar { ref mut value, .. } => match op {
                UnaryOperator::Negate => match *value {
                    ScalarValue::Sint(ref mut v) => *v = -*v,
                    ScalarValue::Float(ref mut v) => *v = -*v,
                    _ => return Err(ConstantSolvingError::InvalidUnaryOpArg),
                },
                UnaryOperator::Not => match *value {
                    ScalarValue::Sint(ref mut v) => *v = !*v,
                    ScalarValue::Uint(ref mut v) => *v = !*v,
                    ScalarValue::Bool(ref mut v) => *v = !*v,
                    _ => return Err(ConstantSolvingError::InvalidUnaryOpArg),
                },
            },
            ConstantInner::Composite {
                ty,
                ref mut components,
            } => {
                match self.types[ty].inner {
                    TypeInner::Vector { .. } | TypeInner::Matrix { .. } => (),
                    _ => return Err(ConstantSolvingError::InvalidCastArg),
                }

                for component in components {
                    *component = self.unary_op(op, *component, span)?
                }
            }
        }

        Ok(self.register_constant(inner, span))
    }

    fn binary_op(
        &mut self,
        op: BinaryOperator,
        left: Handle<Constant>,
        right: Handle<Constant>,
        span: crate::Span,
    ) -> Result<Handle<Constant>, ConstantSolvingError> {
        let left_inner = &self.constants[left].inner;
        let right_inner = &self.constants[right].inner;

        let inner = match (left_inner, right_inner) {
            (
                &ConstantInner::Scalar {
                    value: left_value,
                    width,
                },
                &ConstantInner::Scalar {
                    value: right_value,
                    width: _,
                },
            ) => {
                let value = match op {
                    BinaryOperator::Equal => ScalarValue::Bool(left_value == right_value),
                    BinaryOperator::NotEqual => ScalarValue::Bool(left_value != right_value),
                    BinaryOperator::Less => ScalarValue::Bool(left_value < right_value),
                    BinaryOperator::LessEqual => ScalarValue::Bool(left_value <= right_value),
                    BinaryOperator::Greater => ScalarValue::Bool(left_value > right_value),
                    BinaryOperator::GreaterEqual => ScalarValue::Bool(left_value >= right_value),

                    _ => match (left_value, right_value) {
                        (ScalarValue::Sint(a), ScalarValue::Sint(b)) => {
                            ScalarValue::Sint(match op {
                                BinaryOperator::Add => a.wrapping_add(b),
                                BinaryOperator::Subtract => a.wrapping_sub(b),
                                BinaryOperator::Multiply => a.wrapping_mul(b),
                                BinaryOperator::Divide => a.checked_div(b).unwrap_or(0),
                                BinaryOperator::Modulo => a.checked_rem(b).unwrap_or(0),
                                BinaryOperator::And => a & b,
                                BinaryOperator::ExclusiveOr => a ^ b,
                                BinaryOperator::InclusiveOr => a | b,
                                _ => return Err(ConstantSolvingError::InvalidBinaryOpArgs),
                            })
                        }
                        (ScalarValue::Sint(a), ScalarValue::Uint(b)) => {
                            ScalarValue::Sint(match op {
                                BinaryOperator::ShiftLeft => a.wrapping_shl(b as u32),
                                BinaryOperator::ShiftRight => a.wrapping_shr(b as u32),
                                _ => return Err(ConstantSolvingError::InvalidBinaryOpArgs),
                            })
                        }
                        (ScalarValue::Uint(a), ScalarValue::Uint(b)) => {
                            ScalarValue::Uint(match op {
                                BinaryOperator::Add => a.wrapping_add(b),
                                BinaryOperator::Subtract => a.wrapping_sub(b),
                                BinaryOperator::Multiply => a.wrapping_mul(b),
                                BinaryOperator::Divide => a.checked_div(b).unwrap_or(0),
                                BinaryOperator::Modulo => a.checked_rem(b).unwrap_or(0),
                                BinaryOperator::And => a & b,
                                BinaryOperator::ExclusiveOr => a ^ b,
                                BinaryOperator::InclusiveOr => a | b,
                                BinaryOperator::ShiftLeft => a.wrapping_shl(b as u32),
                                BinaryOperator::ShiftRight => a.wrapping_shr(b as u32),
                                _ => return Err(ConstantSolvingError::InvalidBinaryOpArgs),
                            })
                        }
                        (ScalarValue::Float(a), ScalarValue::Float(b)) => {
                            ScalarValue::Float(match op {
                                BinaryOperator::Add => a + b,
                                BinaryOperator::Subtract => a - b,
                                BinaryOperator::Multiply => a * b,
                                BinaryOperator::Divide => a / b,
                                BinaryOperator::Modulo => a - b * (a / b).floor(),
                                _ => return Err(ConstantSolvingError::InvalidBinaryOpArgs),
                            })
                        }
                        (ScalarValue::Bool(a), ScalarValue::Bool(b)) => {
                            ScalarValue::Bool(match op {
                                BinaryOperator::LogicalAnd => a && b,
                                BinaryOperator::LogicalOr => a || b,
                                _ => return Err(ConstantSolvingError::InvalidBinaryOpArgs),
                            })
                        }
                        _ => return Err(ConstantSolvingError::InvalidBinaryOpArgs),
                    },
                };

                ConstantInner::Scalar { value, width }
            }
            (&ConstantInner::Composite { ref components, ty }, &ConstantInner::Scalar { .. }) => {
                let mut components = components.clone();
                for comp in components.iter_mut() {
                    *comp = self.binary_op(op, *comp, right, span)?;
                }
                ConstantInner::Composite { ty, components }
            }
            (&ConstantInner::Scalar { .. }, &ConstantInner::Composite { ref components, ty }) => {
                let mut components = components.clone();
                for comp in components.iter_mut() {
                    *comp = self.binary_op(op, left, *comp, span)?;
                }
                ConstantInner::Composite { ty, components }
            }
            _ => return Err(ConstantSolvingError::InvalidBinaryOpArgs),
        };

        Ok(self.register_constant(inner, span))
    }

    fn register_constant(&mut self, inner: ConstantInner, span: crate::Span) -> Handle<Constant> {
        self.constants.fetch_or_append(
            Constant {
                name: None,
                specialization: None,
                inner,
            },
            span,
        )
    }
}

/// Helper function to implement the GLSL `max` function for floats.
///
/// While Rust does provide a `f64::max` method, it has a different behavior than the
/// GLSL `max` for NaNs. In Rust, if any of the arguments is a NaN, then the other
/// is returned.
///
/// This leads to different results in the following example
/// ```
/// use std::cmp::max;
/// std::f64::NAN.max(1.0);
/// ```
///
/// Rust will return `1.0` while GLSL should return NaN.
fn glsl_float_max(x: f64, y: f64) -> f64 {
    if x < y {
        y
    } else {
        x
    }
}

/// Helper function to implement the GLSL `min` function for floats.
///
/// While Rust does provide a `f64::min` method, it has a different behavior than the
/// GLSL `min` for NaNs. In Rust, if any of the arguments is a NaN, then the other
/// is returned.
///
/// This leads to different results in the following example
/// ```
/// use std::cmp::min;
/// std::f64::NAN.min(1.0);
/// ```
///
/// Rust will return `1.0` while GLSL should return NaN.
fn glsl_float_min(x: f64, y: f64) -> f64 {
    if y < x {
        y
    } else {
        x
    }
}

/// Helper function to implement the GLSL `clamp` function for floats.
///
/// While Rust does provide a `f64::clamp` method, it panics if either
/// `min` or `max` are `NaN`s which is not the behavior specified by
/// the glsl specification.
fn glsl_float_clamp(value: f64, min: f64, max: f64) -> f64 {
    glsl_float_min(glsl_float_max(value, min), max)
}

#[cfg(test)]
mod tests {
    use std::vec;

    use crate::{
        Arena, Constant, ConstantInner, Expression, ScalarKind, ScalarValue, Type, TypeInner,
        UnaryOperator, UniqueArena, VectorSize,
    };

    use super::ConstantSolver;

    #[test]
    fn nan_handling() {
        assert!(super::glsl_float_max(f64::NAN, 2.0).is_nan());
        assert!(!super::glsl_float_max(2.0, f64::NAN).is_nan());

        assert!(super::glsl_float_min(f64::NAN, 2.0).is_nan());
        assert!(!super::glsl_float_min(2.0, f64::NAN).is_nan());

        assert!(super::glsl_float_clamp(f64::NAN, 1.0, 2.0).is_nan());
        assert!(!super::glsl_float_clamp(1.0, f64::NAN, 2.0).is_nan());
        assert!(!super::glsl_float_clamp(1.0, 2.0, f64::NAN).is_nan());
    }

    #[test]
    fn unary_op() {
        let mut types = UniqueArena::new();
        let mut expressions = Arena::new();
        let mut constants = Arena::new();

        let vec_ty = types.insert(
            Type {
                name: None,
                inner: TypeInner::Vector {
                    size: VectorSize::Bi,
                    kind: ScalarKind::Sint,
                    width: 4,
                },
            },
            Default::default(),
        );

        let h = constants.append(
            Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Scalar {
                    width: 4,
                    value: ScalarValue::Sint(4),
                },
            },
            Default::default(),
        );

        let h1 = constants.append(
            Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Scalar {
                    width: 4,
                    value: ScalarValue::Sint(8),
                },
            },
            Default::default(),
        );

        let vec_h = constants.append(
            Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Composite {
                    ty: vec_ty,
                    components: vec![h, h1],
                },
            },
            Default::default(),
        );

        let expr = expressions.append(Expression::Constant(h), Default::default());
        let expr1 = expressions.append(Expression::Constant(vec_h), Default::default());

        let root1 = expressions.append(
            Expression::Unary {
                op: UnaryOperator::Negate,
                expr,
            },
            Default::default(),
        );

        let root2 = expressions.append(
            Expression::Unary {
                op: UnaryOperator::Not,
                expr,
            },
            Default::default(),
        );

        let root3 = expressions.append(
            Expression::Unary {
                op: UnaryOperator::Not,
                expr: expr1,
            },
            Default::default(),
        );

        let mut solver = ConstantSolver {
            types: &mut types,
            expressions: &expressions,
            constants: &mut constants,
        };

        let res1 = solver.solve(root1).unwrap();
        let res2 = solver.solve(root2).unwrap();
        let res3 = solver.solve(root3).unwrap();

        assert_eq!(
            constants[res1].inner,
            ConstantInner::Scalar {
                width: 4,
                value: ScalarValue::Sint(-4),
            },
        );

        assert_eq!(
            constants[res2].inner,
            ConstantInner::Scalar {
                width: 4,
                value: ScalarValue::Sint(!4),
            },
        );

        let res3_inner = &constants[res3].inner;

        match res3_inner {
            ConstantInner::Composite { ty, components } => {
                assert_eq!(*ty, vec_ty);
                let mut components_iter = components.iter().copied();
                assert_eq!(
                    constants[components_iter.next().unwrap()].inner,
                    ConstantInner::Scalar {
                        width: 4,
                        value: ScalarValue::Sint(!4),
                    },
                );
                assert_eq!(
                    constants[components_iter.next().unwrap()].inner,
                    ConstantInner::Scalar {
                        width: 4,
                        value: ScalarValue::Sint(!8),
                    },
                );
                assert!(components_iter.next().is_none());
            }
            _ => panic!("Expected vector"),
        }
    }

    #[test]
    fn cast() {
        let mut expressions = Arena::new();
        let mut constants = Arena::new();

        let h = constants.append(
            Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Scalar {
                    width: 4,
                    value: ScalarValue::Sint(4),
                },
            },
            Default::default(),
        );

        let expr = expressions.append(Expression::Constant(h), Default::default());

        let root = expressions.append(
            Expression::As {
                expr,
                kind: ScalarKind::Bool,
                convert: Some(crate::BOOL_WIDTH),
            },
            Default::default(),
        );

        let mut solver = ConstantSolver {
            types: &mut UniqueArena::new(),
            expressions: &expressions,
            constants: &mut constants,
        };

        let res = solver.solve(root).unwrap();

        assert_eq!(
            constants[res].inner,
            ConstantInner::Scalar {
                width: crate::BOOL_WIDTH,
                value: ScalarValue::Bool(true),
            },
        );
    }

    #[test]
    fn access() {
        let mut types = UniqueArena::new();
        let mut expressions = Arena::new();
        let mut constants = Arena::new();

        let matrix_ty = types.insert(
            Type {
                name: None,
                inner: TypeInner::Matrix {
                    columns: VectorSize::Bi,
                    rows: VectorSize::Tri,
                    width: 4,
                },
            },
            Default::default(),
        );

        let vec_ty = types.insert(
            Type {
                name: None,
                inner: TypeInner::Vector {
                    size: VectorSize::Tri,
                    kind: ScalarKind::Float,
                    width: 4,
                },
            },
            Default::default(),
        );

        let mut vec1_components = Vec::with_capacity(3);
        let mut vec2_components = Vec::with_capacity(3);

        for i in 0..3 {
            let h = constants.append(
                Constant {
                    name: None,
                    specialization: None,
                    inner: ConstantInner::Scalar {
                        width: 4,
                        value: ScalarValue::Float(i as f64),
                    },
                },
                Default::default(),
            );

            vec1_components.push(h)
        }

        for i in 3..6 {
            let h = constants.append(
                Constant {
                    name: None,
                    specialization: None,
                    inner: ConstantInner::Scalar {
                        width: 4,
                        value: ScalarValue::Float(i as f64),
                    },
                },
                Default::default(),
            );

            vec2_components.push(h)
        }

        let vec1 = constants.append(
            Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Composite {
                    ty: vec_ty,
                    components: vec1_components,
                },
            },
            Default::default(),
        );

        let vec2 = constants.append(
            Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Composite {
                    ty: vec_ty,
                    components: vec2_components,
                },
            },
            Default::default(),
        );

        let h = constants.append(
            Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Composite {
                    ty: matrix_ty,
                    components: vec![vec1, vec2],
                },
            },
            Default::default(),
        );

        let base = expressions.append(Expression::Constant(h), Default::default());
        let root1 = expressions.append(
            Expression::AccessIndex { base, index: 1 },
            Default::default(),
        );
        let root2 = expressions.append(
            Expression::AccessIndex {
                base: root1,
                index: 2,
            },
            Default::default(),
        );

        let mut solver = ConstantSolver {
            types: &mut types,
            expressions: &expressions,
            constants: &mut constants,
        };

        let res1 = solver.solve(root1).unwrap();
        let res2 = solver.solve(root2).unwrap();

        let res1_inner = &constants[res1].inner;

        match res1_inner {
            ConstantInner::Composite { ty, components } => {
                assert_eq!(*ty, vec_ty);
                let mut components_iter = components.iter().copied();
                assert_eq!(
                    constants[components_iter.next().unwrap()].inner,
                    ConstantInner::Scalar {
                        width: 4,
                        value: ScalarValue::Float(3.),
                    },
                );
                assert_eq!(
                    constants[components_iter.next().unwrap()].inner,
                    ConstantInner::Scalar {
                        width: 4,
                        value: ScalarValue::Float(4.),
                    },
                );
                assert_eq!(
                    constants[components_iter.next().unwrap()].inner,
                    ConstantInner::Scalar {
                        width: 4,
                        value: ScalarValue::Float(5.),
                    },
                );
                assert!(components_iter.next().is_none());
            }
            _ => panic!("Expected vector"),
        }

        assert_eq!(
            constants[res2].inner,
            ConstantInner::Scalar {
                width: 4,
                value: ScalarValue::Float(5.),
            },
        );
    }
}


================================================
FILE: lib/naga/src/front/glsl/context.rs
================================================
use super::{
    ast::{
        GlobalLookup, GlobalLookupKind, HirExpr, HirExprKind, ParameterInfo, ParameterQualifier,
        VariableReference,
    },
    error::{Error, ErrorKind},
    types::{scalar_components, type_power},
    Parser, Result,
};
use crate::{
    front::{Emitter, Typifier},
    AddressSpace, Arena, BinaryOperator, Block, Constant, Expression, FastHashMap,
    FunctionArgument, Handle, LocalVariable, RelationalFunction, ScalarKind, ScalarValue, Span,
    Statement, Type, TypeInner, VectorSize,
};
use std::{convert::TryFrom, ops::Index};

/// The position at which an expression is, used while lowering
#[derive(Clone, Copy, PartialEq, Eq, Debug)]
pub enum ExprPos {
    /// The expression is in the left hand side of an assignment
    Lhs,
    /// The expression is in the right hand side of an assignment
    Rhs,
    /// The expression is an array being indexed, needed to allow constant
    /// arrays to be dynamically indexed
    AccessBase {
        /// The index is a constant
        constant_index: bool,
    },
}

impl ExprPos {
    /// Returns an lhs position if the current position is lhs otherwise AccessBase
    const fn maybe_access_base(&self, constant_index: bool) -> Self {
        match *self {
            ExprPos::Lhs => *self,
            _ => ExprPos::AccessBase { constant_index },
        }
    }
}

#[derive(Debug)]
pub struct Context {
    pub expressions: Arena<Expression>,
    pub locals: Arena<LocalVariable>,
    pub arguments: Vec<FunctionArgument>,

    pub parameters: Vec<Handle<Type>>,
    pub parameters_info: Vec<ParameterInfo>,

    pub symbol_table: crate::front::SymbolTable<String, VariableReference>,
    pub samplers: FastHashMap<Handle<Expression>, Handle<Expression>>,

    pub typifier: Typifier,
    emitter: Emitter,
    stmt_ctx: Option<StmtContext>,
}

impl Context {
    pub fn new(parser: &Parser, body: &mut Block) -> Self {
        let mut this = Context {
            expressions: Arena::new(),
            locals: Arena::new(),
            arguments: Vec::new(),

            parameters: Vec::new(),
            parameters_info: Vec::new(),

            symbol_table: crate::front::SymbolTable::default(),
            samplers: FastHashMap::default(),

            typifier: Typifier::new(),
            emitter: Emitter::default(),
            stmt_ctx: Some(StmtContext::new()),
        };

        this.emit_start();

        for &(ref name, lookup) in parser.global_variables.iter() {
            this.add_global(parser, name, lookup, body)
        }

        this
    }

    pub fn add_global(
        &mut self,
        parser: &Parser,
        name: &str,
        GlobalLookup {
            kind,
            entry_arg,
            mutable,
        }: GlobalLookup,
        body: &mut Block,
    ) {
        self.emit_end(body);
        let (expr, load, constant) = match kind {
            GlobalLookupKind::Variable(v) => {
                let span = parser.module.global_variables.get_span(v);
                let res = (
                    self.expressions.append(Expression::GlobalVariable(v), span),
                    parser.module.global_variables[v].space != AddressSpace::Handle,
                    None,
                );
                self.emit_start();

                res
            }
            GlobalLookupKind::BlockSelect(handle, index) => {
                let span = parser.module.global_variables.get_span(handle);
                let base = self
                    .expressions
                    .append(Expression::GlobalVariable(handle), span);
                self.emit_start();
                let expr = self
                    .expressions
                    .append(Expression::AccessIndex { base, index }, span);

                (
                    expr,
                    {
                        let ty = parser.module.global_variables[handle].ty;

                        match parser.module.types[ty].inner {
                            TypeInner::Struct { ref members, .. } => {
                                if let TypeInner::Array {
                                    size: crate::ArraySize::Dynamic,
                                    ..
                                } = parser.module.types[members[index as usize].ty].inner
                                {
                                    false
                                } else {
                                    true
                                }
                            }
                            _ => true,
                        }
                    },
                    None,
                )
            }
            GlobalLookupKind::Constant(v, ty) => {
                let span = parser.module.constants.get_span(v);
                let res = (
                    self.expressions.append(Expression::Constant(v), span),
                    false,
                    Some((v, ty)),
                );
                self.emit_start();
                res
            }
        };

        let var = VariableReference {
            expr,
            load,
            mutable,
            constant,
            entry_arg,
        };

        self.symbol_table.add(name.into(), var);
    }

    /// Starts the expression emitter
    ///
    /// # Panics
    ///
    /// - If called twice in a row without calling [`emit_end`][Self::emit_end].
    #[inline]
    pub fn emit_start(&mut self) {
        self.emitter.start(&self.expressions)
    }

    /// Emits all the expressions captured by the emitter to the passed `body`
    ///
    /// # Panics
    ///
    /// - If called before calling [`emit_start`].
    /// - If called twice in a row without calling [`emit_start`].
    ///
    /// [`emit_start`]: Self::emit_start
    pub fn emit_end(&mut self, body: &mut Block) {
        body.extend(self.emitter.finish(&self.expressions))
    }

    /// Emits all the expressions captured by the emitter to the passed `body`
    /// and starts the emitter again
    ///
    /// # Panics
    ///
    /// - If called before calling [`emit_start`][Self::emit_start].
    pub fn emit_restart(&mut self, body: &mut Block) {
        self.emit_end(body);
        self.emit_start()
    }

    pub fn add_expression(
        &mut self,
        expr: Expression,
        meta: Span,
        body: &mut Block,
    ) -> Handle<Expression> {
        let needs_pre_emit = expr.needs_pre_emit();
        if needs_pre_emit {
            self.emit_end(body);
        }
        let handle = self.expressions.append(expr, meta);
        if needs_pre_emit {
            self.emit_start();
        }
        handle
    }

    /// Add variable to current scope
    ///
    /// Returns a variable if a variable with the same name was already defined,
    /// otherwise returns `None`
    pub fn add_local_var(
        &mut self,
        name: String,
        expr: Handle<Expression>,
        mutable: bool,
    ) -> Option<VariableReference> {
        let var = VariableReference {
            expr,
            load: true,
            mutable,
            constant: None,
            entry_arg: None,
        };

        self.symbol_table.add(name, var)
    }

    /// Add function argument to current scope
    pub fn add_function_arg(
        &mut self,
        parser: &mut Parser,
        body: &mut Block,
        name_meta: Option<(String, Span)>,
        ty: Handle<Type>,
        qualifier: ParameterQualifier,
    ) {
        let index = self.arguments.len();
        let mut arg = FunctionArgument {
            name: name_meta.as_ref().map(|&(ref name, _)| name.clone()),
            ty,
            binding: None,
        };
        self.parameters.push(ty);

        let opaque = match parser.module.types[ty].inner {
            TypeInner::Image { .. } | TypeInner::Sampler { .. } => true,
            _ => false,
        };

        if qualifier.is_lhs() {
            let span = parser.module.types.get_span(arg.ty);
            arg.ty = parser.module.types.insert(
                Type {
                    name: None,
                    inner: TypeInner::Pointer {
                        base: arg.ty,
                        space: AddressSpace::Function,
                    },
                },
                span,
            )
        }

        self.arguments.push(arg);

        self.parameters_info.push(ParameterInfo {
            qualifier,
            depth: false,
        });

        if let Some((name, meta)) = name_meta {
            let expr = self.add_expression(Expression::FunctionArgument(index as u32), meta, body);
            let mutable = qualifier != ParameterQualifier::Const && !opaque;
            let load = qualifier.is_lhs();

            let var = if mutable && !load {
                let handle = self.locals.append(
                    LocalVariable {
                        name: Some(name.clone()),
                        ty,
                        init: None,
                    },
                    meta,
                );
                let local_expr = self.add_expression(Expression::LocalVariable(handle), meta, body);

                self.emit_restart(body);

                body.push(
                    Statement::Store {
                        pointer: local_expr,
                        value: expr,
                    },
                    meta,
                );

                VariableReference {
                    expr: local_expr,
                    load: true,
                    mutable,
                    constant: None,
                    entry_arg: None,
                }
            } else {
                VariableReference {
                    expr,
                    load,
                    mutable,
                    constant: None,
                    entry_arg: None,
                }
            };

            self.symbol_table.add(name, var);
        }
    }

    /// Returns a [`StmtContext`](StmtContext) to be used in parsing and lowering
    ///
    /// # Panics
    /// - If more than one [`StmtContext`](StmtContext) are active at the same
    /// time or if the previous call didn't use it in lowering.
    #[must_use]
    pub fn stmt_ctx(&mut self) -> StmtContext {
        self.stmt_ctx.take().unwrap()
    }

    /// Lowers a [`HirExpr`](HirExpr) which might produce a [`Expression`](Expression).
    ///
    /// consumes a [`StmtContext`](StmtContext) returning it to the context so
    /// that it can be used again later.
    pub fn lower(
        &mut self,
        mut stmt: StmtContext,
        parser: &mut Parser,
        expr: Handle<HirExpr>,
        pos: ExprPos,
        body: &mut Block,
    ) -> Result<(Option<Handle<Expression>>, Span)> {
        let res = self.lower_inner(&stmt, parser, expr, pos, body);

        stmt.hir_exprs.clear();
        self.stmt_ctx = Some(stmt);

        res
    }

    /// Similar to [`lower`](Self::lower) but returns an error if the expression
    /// returns void (ie. doesn't produce a [`Expression`](Expression)).
    ///
    /// consumes a [`StmtContext`](StmtContext) returning it to the context so
    /// that it can be used again later.
    pub fn lower_expect(
        &mut self,
        mut stmt: StmtContext,
        parser: &mut Parser,
        expr: Handle<HirExpr>,
        pos: ExprPos,
        body: &mut Block,
    ) -> Result<(Handle<Expression>, Span)> {
        let res = self.lower_expect_inner(&stmt, parser, expr, pos, body);

        stmt.hir_exprs.clear();
        self.stmt_ctx = Some(stmt);

        res
    }

    /// internal implementation of [`lower_expect`](Self::lower_expect)
    ///
    /// this method is only public because it's used in
    /// [`function_call`](Parser::function_call), unless you know what
    /// you're doing use [`lower_expect`](Self::lower_expect)
    pub fn lower_expect_inner(
        &mut self,
        stmt: &StmtContext,
        parser: &mut Parser,
        expr: Handle<HirExpr>,
        pos: ExprPos,
        body: &mut Block,
    ) -> Result<(Handle<Expression>, Span)> {
        let (maybe_expr, meta) = self.lower_inner(stmt, parser, expr, pos, body)?;

        let expr = match maybe_expr {
            Some(e) => e,
            None => {
                return Err(Error {
                    kind: ErrorKind::SemanticError("Expression returns void".into()),
                    meta,
                })
            }
        };

        Ok((expr, meta))
    }

    fn lower_store(
        &mut self,
        pointer: Handle<Expression>,
        value: Handle<Expression>,
        meta: Span,
        body: &mut Block,
    ) {
        if let Expression::Swizzle {
            size,
            mut vector,
            pattern,
        } = self.expressions[pointer]
        {
            // Stores to swizzled values are not directly supported,
            // lower them as series of per-component stores.
            let size = match size {
                VectorSize::Bi => 2,
                VectorSize::Tri => 3,
                VectorSize::Quad => 4,
            };

            if let Expression::Load { pointer } = self.expressions[vector] {
                vector = pointer;
            }

            #[allow(clippy::needless_range_loop)]
            for index in 0..size {
                let dst = self.add_expression(
                    Expression::AccessIndex {
                        base: vector,
                        index: pattern[index].index(),
                    },
                    meta,
                    body,
                );
                let src = self.add_expression(
                    Expression::AccessIndex {
                        base: value,
                        index: index as u32,
                    },
                    meta,
                    body,
                );

                self.emit_restart(body);

                body.push(
                    Statement::Store {
                        pointer: dst,
                        value: src,
                    },
                    meta,
                );
            }
        } else {
            self.emit_restart(body);

            body.push(Statement::Store { pointer, value }, meta);
        }
    }

    /// Internal implementation of [`lower`](Self::lower)
    fn lower_inner(
        &mut self,
        stmt: &StmtContext,
        parser: &mut Parser,
        expr: Handle<HirExpr>,
        pos: ExprPos,
        body: &mut Block,
    ) -> Result<(Option<Handle<Expression>>, Span)> {
        let HirExpr { ref kind, meta } = stmt.hir_exprs[expr];

        log::debug!("Lowering {:?}", expr);

        let handle = match *kind {
            HirExprKind::Access { base, index } => {
                let (index, index_meta) =
                    self.lower_expect_inner(stmt, parser, index, ExprPos::Rhs, body)?;
                let maybe_constant_index = match pos {
                    // Don't try to generate `AccessIndex` if in a LHS position, since it
                    // wouldn't produce a pointer.
                    ExprPos::Lhs => None,
                    _ => parser.solve_constant(self, index, index_meta).ok(),
                };

                let base = self
                    .lower_expect_inner(
                        stmt,
                        parser,
                        base,
                        pos.maybe_access_base(maybe_constant_index.is_some()),
                        body,
                    )?
                    .0;

                let pointer = maybe_constant_index
                    .and_then(|constant| {
                        Some(self.add_expression(
                            Expression::AccessIndex {
                                base,
                                index: match parser.module.constants[constant].inner {
                                    crate::ConstantInner::Scalar {
                                        value: ScalarValue::Uint(i),
                                        ..
                                    } => u32::try_from(i).ok()?,
                                    crate::ConstantInner::Scalar {
                                        value: ScalarValue::Sint(i),
                                        ..
                                    } => u32::try_from(i).ok()?,
                                    _ => return None,
                                },
                            },
                            meta,
                            body,
                        ))
                    })
                    .unwrap_or_else(|| {
                        self.add_expression(Expression::Access { base, index }, meta, body)
                    });

                if ExprPos::Rhs == pos {
                    let resolved = parser.resolve_type(self, pointer, meta)?;
                    if resolved.pointer_space().is_some() {
                        return Ok((
                            Some(self.add_expression(Expression::Load { pointer }, meta, body)),
                            meta,
                        ));
                    }
                }

                pointer
            }
            HirExprKind::Select { base, ref field } => {
                let base = self
                    .lower_expect_inner(stmt, parser, base, pos.maybe_access_base(true), body)?
                    .0;

                parser.field_selection(self, pos, body, base, field, meta)?
            }
            HirExprKind::Constant(constant) if pos != ExprPos::Lhs => {
                self.add_expression(Expression::Constant(constant), meta, body)
            }
            HirExprKind::Binary { left, op, right } if pos != ExprPos::Lhs => {
                let (mut left, left_meta) =
                    self.lower_expect_inner(stmt, parser, left, ExprPos::Rhs, body)?;
                let (mut right, right_meta) =
                    self.lower_expect_inner(stmt, parser, right, ExprPos::Rhs, body)?;

                match op {
                    BinaryOperator::ShiftLeft | BinaryOperator::ShiftRight => self
                        .implicit_conversion(parser, &mut right, right_meta, ScalarKind::Uint, 4)?,
                    _ => self.binary_implicit_conversion(
                        parser, &mut left, left_meta, &mut right, right_meta,
                    )?,
                }

                parser.typifier_grow(self, left, left_meta)?;
                parser.typifier_grow(self, right, right_meta)?;

                let left_inner = self.typifier.get(left, &parser.module.types);
                let right_inner = self.typifier.get(right, &parser.module.types);

                match (left_inner, right_inner) {
                    (
                        &TypeInner::Matrix {
                            columns: left_columns,
                            rows: left_rows,
                            width: left_width,
                        },
                        &TypeInner::Matrix {
                            columns: right_columns,
                            rows: right_rows,
                            width: right_width,
                        },
                    ) => {
                        let dimensions_ok = if op == BinaryOperator::Multiply {
                            left_columns == right_rows
                        } else {
                            left_columns == right_columns && left_rows == right_rows
                        };

                        // Check that the two arguments have the same dimensions
                        if !dimensions_ok || left_width != right_width {
                            parser.errors.push(Error {
                                kind: ErrorKind::SemanticError(
                                    format!(
                                        "Cannot apply operation to {:?} and {:?}",
                                        left_inner, right_inner
                                    )
                                    .into(),
                                ),
                                meta,
                            })
                        }

                        match op {
                            BinaryOperator::Divide => {
                                // Naga IR doesn't support matrix division so we need to
                                // divide the columns individually and reassemble the matrix
                                let mut components = Vec::with_capacity(left_columns as usize);

                                for index in 0..left_columns as u32 {
                                    // Get the column vectors
                                    let left_vector = self.add_expression(
                                        Expression::AccessIndex { base: left, index },
                                        meta,
                                        body,
                                    );
                                    let right_vector = self.add_expression(
                                        Expression::AccessIndex { base: right, index },
                                        meta,
                                        body,
                                    );

                                    // Divide the vectors
                                    let column = self.expressions.append(
                                        Expression::Binary {
                                            op,
                                            left: left_vector,
                                            right: right_vector,
                                        },
                                        meta,
                                    );

                                    components.push(column)
                                }

                                // Rebuild the matrix from the divided vectors
                                self.expressions.append(
                                    Expression::Compose {
                                        ty: parser.module.types.insert(
                                            Type {
                                                name: None,
                                                inner: TypeInner::Matrix {
                                                    columns: left_columns,
                                                    rows: left_rows,
                                                    width: left_width,
                                                },
                                            },
                                            Span::default(),
                                        ),
                                        components,
                                    },
                                    meta,
                                )
                            }
                            BinaryOperator::Equal | BinaryOperator::NotEqual => {
                                // Naga IR doesn't support matrix comparisons so we need to
                                // compare the columns individually and then fold them together
                                //
                                // The folding is done using a logical and for equality and
                                // a logical or for inequality
                                let equals = op == BinaryOperator::Equal;

                                let (op, combine, fun) = match equals {
                                    true => (
                                        BinaryOperator::Equal,
                                        BinaryOperator::LogicalAnd,
                                        RelationalFunction::All,
                                    ),
                                    false => (
                                        BinaryOperator::NotEqual,
                                        BinaryOperator::LogicalOr,
                                        RelationalFunction::Any,
                                    ),
                                };

                                let mut root = None;

                                for index in 0..left_columns as u32 {
                                    // Get the column vectors
                                    let left_vector = self.add_expression(
                                        Expression::AccessIndex { base: left, index },
                                        meta,
                                        body,
                                    );
                                    let right_vector = self.add_expression(
                                        Expression::AccessIndex { base: right, index },
                                        meta,
                                        body,
                                    );

                                    let argument = self.expressions.append(
                                        Expression::Binary {
                                            op,
                                            left: left_vector,
                                            right: right_vector,
                                        },
                                        meta,
                                    );

                                    // The result of comparing two vectors is a boolean vector
                                    // so use a relational function like all to get a single
                                    // boolean value
                                    let compare = self.add_expression(
                                        Expression::Relational { fun, argument },
                                        meta,
                                        body,
                                    );

                                    // Fold the result
                                    root = Some(match root {
                                        Some(right) => self.add_expression(
                                            Expression::Binary {
                                                op: combine,
                                                left: compare,
                                                right,
                                            },
                                            meta,
                                            body,
                                        ),
                                        None => compare,
                                    });
                                }

                                root.unwrap()
                            }
                            _ => self.add_expression(
                                Expression::Binary { left, op, right },
                                meta,
                                body,
                            ),
                        }
                    }
                    (&TypeInner::Vector { .. }, &TypeInner::Vector { .. }) => match op {
                        BinaryOperator::Equal | BinaryOperator::NotEqual => {
                            let equals = op == BinaryOperator::Equal;

                            let (op, fun) = match equals {
                                true => (BinaryOperator::Equal, RelationalFunction::All),
                                false => (BinaryOperator::NotEqual, RelationalFunction::Any),
                            };

                            let argument = self
                                .expressions
                                .append(Expression::Binary { op, left, right }, meta);

                            self.add_expression(
                                Expression::Relational { fun, argument },
                                meta,
                                body,
                            )
                        }
                        _ => {
                            self.add_expression(Expression::Binary { left, op, right }, meta, body)
                        }
                    },
                    (&TypeInner::Vector { size, .. }, &TypeInner::Scalar { .. }) => match op {
                        BinaryOperator::Add
                        | BinaryOperator::Subtract
                        | BinaryOperator::Divide
                        | BinaryOperator::And
                        | BinaryOperator::ExclusiveOr
                        | BinaryOperator::InclusiveOr
                        | BinaryOperator::ShiftLeft
                        | BinaryOperator::ShiftRight => {
                            let scalar_vector = self.add_expression(
                                Expression::Splat { size, value: right },
                                meta,
                                body,
                            );

                            self.add_expression(
                                Expression::Binary {
                                    op,
                                    left,
                                    right: scalar_vector,
                                },
                                meta,
                                body,
                            )
                        }
                        _ => {
                            self.add_expression(Expression::Binary { left, op, right }, meta, body)
                        }
                    },
                    (&TypeInner::Scalar { .. }, &TypeInner::Vector { size, .. }) => match op {
                        BinaryOperator::Add
                        | BinaryOperator::Subtract
                        | BinaryOperator::Divide
                        | BinaryOperator::And
                        | BinaryOperator::ExclusiveOr
                        | BinaryOperator::InclusiveOr => {
                            let scalar_vector = self.add_expression(
                                Expression::Splat { size, value: left },
                                meta,
                                body,
                            );

                            self.add_expression(
                                Expression::Binary {
                                    op,
                                    left: scalar_vector,
                                    right,
                                },
                                meta,
                                body,
                            )
                        }
                        _ => {
                            self.add_expression(Expression::Binary { left, op, right }, meta, body)
                        }
                    },
                    (
                        &TypeInner::Scalar {
                            width: left_width, ..
                        },
                        &TypeInner::Matrix {
                            rows,
                            columns,
                            width: right_width,
                        },
                    ) => {
                        // Check that the two arguments have the same width
                        if left_width != right_width {
                            parser.errors.push(Error {
                                kind: ErrorKind::SemanticError(
                                    format!(
                                        "Cannot apply operation to {:?} and {:?}",
                                        left_inner, right_inner
                                    )
                                    .into(),
                                ),
                                meta,
                            })
                        }

                        match op {
                            BinaryOperator::Divide
                            | BinaryOperator::Add
                            | BinaryOperator::Subtract => {
                                // Naga IR doesn't support all matrix by scalar operations so
                                // we need for some to turn the scalar into a vector by
                                // splatting it and then for each column vector apply the
                                // operation and finally reconstruct the matrix
                                let scalar_vector = self.add_expression(
                                    Expression::Splat {
                                        size: rows,
                                        value: left,
                                    },
                                    meta,
                                    body,
                                );

                                let mut components = Vec::with_capacity(columns as usize);

                                for index in 0..columns as u32 {
                                    // Get the column vector
                                    let matrix_column = self.add_expression(
                                        Expression::AccessIndex { base: right, index },
                                        meta,
                                        body,
                                    );

                                    // Apply the operation to the splatted vector and
                                    // the column vector
                                    let column = self.expressions.append(
                                        Expression::Binary {
                                            op,
                                            left: scalar_vector,
                                            right: matrix_column,
                                        },
                                        meta,
                                    );

                                    components.push(column)
                                }

                                // Rebuild the matrix from the operation result vectors
                                self.expressions.append(
                                    Expression::Compose {
                                        ty: parser.module.types.insert(
                                            Type {
                                                name: None,
                                                inner: TypeInner::Matrix {
                                                    columns,
                                                    rows,
                                                    width: left_width,
                                                },
                                            },
                                            Span::default(),
                                        ),
                                        components,
                                    },
                                    meta,
                                )
                            }
                            _ => self.add_expression(
                                Expression::Binary { left, op, right },
                                meta,
                                body,
                            ),
                        }
                    }
                    (
                        &TypeInner::Matrix {
                            rows,
                            columns,
                            width: left_width,
                        },
                        &TypeInner::Scalar {
                            width: right_width, ..
                        },
                    ) => {
                        // Check that the two arguments have the same width
                        if left_width != right_width {
                            parser.errors.push(Error {
                                kind: ErrorKind::SemanticError(
                                    format!(
                                        "Cannot apply operation to {:?} and {:?}",
                                        left_inner, right_inner
                                    )
                                    .into(),
                                ),
                                meta,
                            })
                        }

                        match op {
                            BinaryOperator::Divide
                            | BinaryOperator::Add
                            | BinaryOperator::Subtract => {
                                // Naga IR doesn't support all matrix by scalar operations so
                                // we need for some to turn the scalar into a vector by
                                // splatting it and then for each column vector apply the
                                // operation and finally reconstruct the matrix

                                let scalar_vector = self.add_expression(
                                    Expression::Splat {
                                        size: rows,
                                        value: right,
                                    },
                                    meta,
                                    body,
                                );

                                let mut components = Vec::with_capacity(columns as usize);

                                for index in 0..columns as u32 {
                                    // Get the column vector
                                    let matrix_column = self.add_expression(
                                        Expression::AccessIndex { base: left, index },
                                        meta,
                                        body,
                                    );

                                    // Apply the operation to the splatted vector and
                                    // the column vector
                                    let column = self.expressions.append(
                                        Expression::Binary {
                                            op,
                                            left: matrix_column,
                                            right: scalar_vector,
                                        },
                                        meta,
                                    );

                                    components.push(column)
                                }

                                // Rebuild the matrix from the operation result vectors
                                self.expressions.append(
                                    Expression::Compose {
                                        ty: parser.module.types.insert(
                                            Type {
                                                name: None,
                                                inner: TypeInner::Matrix {
                                                    columns,
                                                    rows,
                                                    width: left_width,
                                                },
                                            },
                                            Span::default(),
                                        ),
                                        components,
                                    },
                                    meta,
                                )
                            }
                            _ => self.add_expression(
                                Expression::Binary { left, op, right },
                                meta,
                                body,
                            ),
                        }
                    }
                    _ => self.add_expression(Expression::Binary { left, op, right }, meta, body),
                }
            }
            HirExprKind::Unary { op, expr } if pos != ExprPos::Lhs => {
                let expr = self
                    .lower_expect_inner(stmt, parser, expr, ExprPos::Rhs, body)?
                    .0;

                self.add_expression(Expression::Unary { op, expr }, meta, body)
            }
            HirExprKind::Variable(ref var) => match pos {
                ExprPos::Lhs => {
                    if !var.mutable {
                        parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "Variable cannot be used in LHS position".into(),
                            ),
                            meta,
                        })
                    }

                    var.expr
                }
                ExprPos::AccessBase { constant_index } => {
                    // If the index isn't constant all accesses backed by a constant base need
                    // to be done trough a proxy local variable, since constants have a non
                    // pointer type which is required for dynamic indexing
                    if !constant_index {
                        if let Some((constant, ty)) = var.constant {
                            let local = self.locals.append(
                                LocalVariable {
                                    name: None,
                                    ty,
                                    init: Some(constant),
                                },
                                Span::default(),
                            );

                            self.add_expression(
                                Expression::LocalVariable(local),
                                Span::default(),
                                body,
                            )
                        } else {
                            var.expr
                        }
                    } else {
                        var.expr
                    }
                }
                _ if var.load => {
                    self.add_expression(Expression::Load { pointer: var.expr }, meta, body)
                }
                _ => var.expr,
            },
            HirExprKind::Call(ref call) if pos != ExprPos::Lhs => {
                let maybe_expr = parser.function_or_constructor_call(
                    self,
                    stmt,
                    body,
                    call.kind.clone(),
                    &call.args,
                    meta,
                )?;
                return Ok((maybe_expr, meta));
            }
            // `HirExprKind::Conditional` represents the ternary operator in glsl (`:?`)
            //
            // The ternary operator is defined to only evaluate one of the two possible
            // expressions which means that it's behavior is that of an `if` statement,
            // and it's merely syntatic sugar for it.
            HirExprKind::Conditional {
                condition,
                accept,
                reject,
            } if ExprPos::Lhs != pos => {
                // Given an expression `a ? b : c`, we need to produce a Naga
                // statement roughly like:
                //
                //     var temp;
                //     if a {
                //         temp = convert(b);
                //     } else  {
                //         temp = convert(c);
                //     }
                //
                // where `convert` stands for type conversions to bring `b` and `c` to
                // the same type, and then use `temp` to represent the value of the whole
                // conditional expression in subsequent code.

                // Lower the condition first to the current bodyy
                let condition = self
                    .lower_expect_inner(stmt, parser, condition, ExprPos::Rhs, body)?
                    .0;

                // Emit all expressions since we will be adding statements to
                // other bodies next
                self.emit_restart(body);

                // Create the bodies for the two cases
                let mut accept_body = Block::new();
                let mut reject_body = Block::new();

                // Lower the `true` branch
                let (mut accept, accept_meta) =
                    self.lower_expect_inner(stmt, parser, accept, pos, &mut accept_body)?;

                // Flush the body of the `true` branch, to start emitting on the
                // `false` branch
                self.emit_restart(&mut accept_body);

                // Lower the `false` branch
                let (mut reject, reject_meta) =
                    self.lower_expect_inner(stmt, parser, reject, pos, &mut reject_body)?;

                // Flush the body of the `false` branch
                self.emit_restart(&mut reject_body);

                // We need to do some custom implicit conversions since the two target expressions
                // are in different bodies
                if let (
                    Some((accept_power, accept_width, accept_kind)),
                    Some((reject_power, reject_width, reject_kind)),
                ) = (
                    // Get the components of both branches and calculate the type power
                    self.expr_scalar_components(parser, accept, accept_meta)?
                        .and_then(|(kind, width)| Some((type_power(kind, width)?, width, kind))),
                    self.expr_scalar_components(parser, reject, reject_meta)?
                        .and_then(|(kind, width)| Some((type_power(kind, width)?, width, kind))),
                ) {
                    match accept_power.cmp(&reject_power) {
                        std::cmp::Ordering::Less => {
                            self.conversion(&mut accept, accept_meta, reject_kind, reject_width)?;
                            // The expression belongs to the `true` branch so we need to flush to
                            // the respective body
                            self.emit_end(&mut accept_body);
                        }
                        // Technically there's nothing to flush but later we will need to
                        // add some expressions that must not be emitted so instead
                        // of flushing, starting and flushing again, just make sure
                        // everything is flushed.
                        std::cmp::Ordering::Equal => self.emit_end(body),
                        std::cmp::Ordering::Greater => {
                            self.conversion(&mut reject, reject_meta, accept_kind, accept_width)?;
                            // The expression belongs to the `false` branch so we need to flush to
                            // the respective body
                            self.emit_end(&mut reject_body);
                        }
                    }
                } else {
                    // Technically there's nothing to flush but later we will need to
                    // add some expressions that must not be emitted.
                    self.emit_end(body)
                }

                // We need to get the type of the resulting expression to create the local,
                // this must be done after implicit conversions to ensure both branches have
                // the same type.
                let ty = parser.resolve_type_handle(self, accept, accept_meta)?;

                // Add the local that will hold the result of our conditional
                let local = self.locals.append(
                    LocalVariable {
                        name: None,
                        ty,
                        init: None,
                    },
                    meta,
                );

                // Note: `Expression::LocalVariable` must not be emited so it's important
                // that at this point the emitter is flushed but not started.
                let local_expr = self
                    .expressions
                    .append(Expression::LocalVariable(local), meta);

                // Add to each body the store to the result variable
                accept_body.push(
                    Statement::Store {
                        pointer: local_expr,
                        value: accept,
                    },
                    accept_meta,
                );
                reject_body.push(
                    Statement::Store {
                        pointer: local_expr,
                        value: reject,
                    },
                    reject_meta,
                );

                // Finally add the `If` to the main body with the `condition` we lowered
                // earlier and the branches we prepared.
                body.push(
                    Statement::If {
                        condition,
                        accept: accept_body,
                        reject: reject_body,
                    },
                    meta,
                );

                // Restart the emitter
                self.emit_start();

                // Note: `Expression::Load` must be emited before it's used so make
                // sure the emitter is active here.
                self.expressions.append(
                    Expression::Load {
                        pointer: local_expr,
                    },
                    meta,
                )
            }
            HirExprKind::Assign { tgt, value } if ExprPos::Lhs != pos => {
                let (pointer, ptr_meta) =
                    self.lower_expect_inner(stmt, parser, tgt, ExprPos::Lhs, body)?;
                let (mut value, value_meta) =
                    self.lower_expect_inner(stmt, parser, value, ExprPos::Rhs, body)?;

                let ty = match *parser.resolve_type(self, pointer, ptr_meta)? {
                    TypeInner::Pointer { base, .. } => &parser.module.types[base].inner,
                    ref ty => ty,
                };

                if let Some((kind, width)) = scalar_components(ty) {
                    self.implicit_conversion(parser, &mut value, value_meta, kind, width)?;
                }

                self.lower_store(pointer, value, meta, body);

                value
            }
            HirExprKind::PrePostfix { op, postfix, expr } if ExprPos::Lhs != pos => {
                let (pointer, _) =
                    self.lower_expect_inner(stmt, parser, expr, ExprPos::Lhs, body)?;
                let left = if let Expression::Swizzle { .. } = self.expressions[pointer] {
                    pointer
                } else {
                    self.add_expression(Expression::Load { pointer }, meta, body)
                };

                let make_constant_inner = |kind, width| {
                    let value = match kind {
                        ScalarKind::Sint => crate::ScalarValue::Sint(1),
                        ScalarKind::Uint => crate::ScalarValue::Uint(1),
                        ScalarKind::Float => crate::ScalarValue::Float(1.0),
                        ScalarKind::Bool => return None,
                    };

                    Some(crate::ConstantInner::Scalar { width, value })
                };
                let res = match *parser.resolve_type(self, left, meta)? {
                    TypeInner::Scalar { kind, width } => {
                        let ty = TypeInner::Scalar { kind, width };
                        make_constant_inner(kind, width).map(|i| (ty, i, None, None))
                    }
                    TypeInner::Vector { size, kind, width } => {
                        let ty = TypeInner::Vector { size, kind, width };
                        make_constant_inner(kind, width).map(|i| (ty, i, Some(size), None))
                    }
                    TypeInner::Matrix {
                        columns,
                        rows,
                        width,
                    } => {
                        let ty = TypeInner::Matrix {
                            columns,
                            rows,
                            width,
                        };
                        make_constant_inner(ScalarKind::Float, width)
                            .map(|i| (ty, i, Some(rows), Some(columns)))
                    }
                    _ => None,
                };
                let (ty_inner, inner, rows, columns) = match res {
                    Some(res) => res,
                    None => {
                        parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "Increment/decrement only works on scalar/vector/matrix".into(),
                            ),
                            meta,
                        });
                        return Ok((Some(left), meta));
                    }
                };

                let constant_1 = parser.module.constants.append(
                    Constant {
                        name: None,
                        specialization: None,
                        inner,
                    },
                    Default::default(),
                );
                let mut right = self.add_expression(Expression::Constant(constant_1), meta, body);

                // Glsl allows pre/postfixes operations on vectors and matrices, so if the
                // target is either of them change the right side of the addition to be splatted
                // to the same size as the target, furthermore if the target is a matrix
                // use a composed matrix using the splatted value.
                if let Some(size) = rows {
                    right =
                        self.add_expression(Expression::Splat { size, value: right }, meta, body);

                    if let Some(cols) = columns {
                        let ty = parser.module.types.insert(
                            Type {
                                name: None,
                                inner: ty_inner,
                            },
                            meta,
                        );

                        right = self.add_expression(
                            Expression::Compose {
                                ty,
                                components: std::iter::repeat(right).take(cols as usize).collect(),
                            },
                            meta,
                            body,
                        );
                    }
                }

                let value = self.add_expression(Expression::Binary { op, left, right }, meta, body);

                self.lower_store(pointer, value, meta, body);

                if postfix {
                    left
                } else {
                    value
                }
            }
            HirExprKind::Method {
                expr: object,
                ref name,
                ref args,
            } if ExprPos::Lhs != pos => {
                let args = args
                    .iter()
                    .map(|e| self.lower_expect_inner(stmt, parser, *e, ExprPos::Rhs, body))
                    .collect::<Result<Vec<_>>>()?;
                match name.as_ref() {
                    "length" => {
                        if !args.is_empty() {
                            parser.errors.push(Error {
                                kind: ErrorKind::SemanticError(
                                    ".length() doesn't take any arguments".into(),
                                ),
                                meta,
                            });
                        }
                        let lowered_array =
                            self.lower_expect_inner(stmt, parser, object, pos, body)?.0;
                        let array_type = parser.resolve_type(self, lowered_array, meta)?;

                        match *array_type {
                            TypeInner::Array {
                                size: crate::ArraySize::Constant(size),
                                ..
                            } => {
                                let mut array_length =
                                    self.add_expression(Expression::Constant(size), meta, body);
                                self.forced_conversion(
                                    parser,
                                    &mut array_length,
                                    meta,
                                    ScalarKind::Sint,
                                    4,
                                )?;
                                array_length
                            }
                            // let the error be handled in type checking if it's not a dynamic array
                            _ => {
                                let mut array_length = self.add_expression(
                                    Expression::ArrayLength(lowered_array),
                                    meta,
                                    body,
                                );
                                self.conversion(&mut array_length, meta, ScalarKind::Sint, 4)?;
                                array_length
                            }
                        }
                    }
                    _ => {
                        return Err(Error {
                            kind: ErrorKind::SemanticError(
                                format!("unknown method '{}'", name).into(),
                            ),
                            meta,
                        });
                    }
                }
            }
            _ => {
                return Err(Error {
                    kind: ErrorKind::SemanticError(
                        format!("{:?} cannot be in the left hand side", stmt.hir_exprs[expr])
                            .into(),
                    ),
                    meta,
                })
            }
        };

        log::trace!(
            "Lowered {:?}\n\tKind = {:?}\n\tPos = {:?}\n\tResult = {:?}",
            expr,
            kind,
            pos,
            handle
        );

        Ok((Some(handle), meta))
    }

    pub fn expr_scalar_components(
        &mut self,
        parser: &Parser,
        expr: Handle<Expression>,
        meta: Span,
    ) -> Result<Option<(ScalarKind, crate::Bytes)>> {
        let ty = parser.resolve_type(self, expr, meta)?;
        Ok(scalar_components(ty))
    }

    pub fn expr_power(
        &mut self,
        parser: &Parser,
        expr: Handle<Expression>,
        meta: Span,
    ) -> Result<Option<u32>> {
        Ok(self
            .expr_scalar_components(parser, expr, meta)?
            .and_then(|(kind, width)| type_power(kind, width)))
    }

    pub fn conversion(
        &mut self,
        expr: &mut Handle<Expression>,
        meta: Span,
        kind: ScalarKind,
        width: crate::Bytes,
    ) -> Result<()> {
        *expr = self.expressions.append(
            Expression::As {
                expr: *expr,
                kind,
                convert: Some(width),
            },
            meta,
        );

        Ok(())
    }

    pub fn implicit_conversion(
        &mut self,
        parser: &Parser,
        expr: &mut Handle<Expression>,
        meta: Span,
        kind: ScalarKind,
        width: crate::Bytes,
    ) -> Result<()> {
        if let (Some(tgt_power), Some(expr_power)) = (
            type_power(kind, width),
            self.expr_power(parser, *expr, meta)?,
        ) {
            if tgt_power > expr_power {
                self.conversion(expr, meta, kind, width)?;
            }
        }

        Ok(())
    }

    pub fn forced_conversion(
        &mut self,
        parser: &Parser,
        expr: &mut Handle<Expression>,
        meta: Span,
        kind: ScalarKind,
        width: crate::Bytes,
    ) -> Result<()> {
        if let Some((expr_scalar_kind, expr_width)) =
            self.expr_scalar_components(parser, *expr, meta)?
        {
            if expr_scalar_kind != kind || expr_width != width {
                self.conversion(expr, meta, kind, width)?;
            }
        }

        Ok(())
    }

    pub fn binary_implicit_conversion(
        &mut self,
        parser: &Parser,
        left: &mut Handle<Expression>,
        left_meta: Span,
        right: &mut Handle<Expression>,
        right_meta: Span,
    ) -> Result<()> {
        let left_components = self.expr_scalar_components(parser, *left, left_meta)?;
        let right_components = self.expr_scalar_components(parser, *right, right_meta)?;

        if let (
            Some((left_power, left_width, left_kind)),
            Some((right_power, right_width, right_kind)),
        ) = (
            left_components.and_then(|(kind, width)| Some((type_power(kind, width)?, width, kind))),
            right_components
                .and_then(|(kind, width)| Some((type_power(kind, width)?, width, kind))),
        ) {
            match left_power.cmp(&right_power) {
                std::cmp::Ordering::Less => {
                    self.conversion(left, left_meta, right_kind, right_width)?;
                }
                std::cmp::Ordering::Equal => {}
                std::cmp::Ordering::Greater => {
                    self.conversion(right, right_meta, left_kind, left_width)?;
                }
            }
        }

        Ok(())
    }

    pub fn implicit_splat(
        &mut self,
        parser: &Parser,
        expr: &mut Handle<Expression>,
        meta: Span,
        vector_size: Option<VectorSize>,
    ) -> Result<()> {
        let expr_type = parser.resolve_type(self, *expr, meta)?;

        if let (&TypeInner::Scalar { .. }, Some(size)) = (expr_type, vector_size) {
            *expr = self
                .expressions
                .append(Expression::Splat { size, value: *expr }, meta)
        }

        Ok(())
    }

    pub fn vector_resize(
        &mut self,
        size: VectorSize,
        vector: Handle<Expression>,
        meta: Span,
        body: &mut Block,
    ) -> Handle<Expression> {
        self.add_expression(
            Expression::Swizzle {
                size,
                vector,
                pattern: crate::SwizzleComponent::XYZW,
            },
            meta,
            body,
        )
    }
}

impl Index<Handle<Expression>> for Context {
    type Output = Expression;

    fn index(&self, index: Handle<Expression>) -> &Self::Output {
        &self.expressions[index]
    }
}

/// Helper struct passed when parsing expressions
///
/// This struct should only be obtained trough [`stmt_ctx`](Context::stmt_ctx)
/// and only one of these may be active at any time per context.
#[derive(Debug)]
pub struct StmtContext {
    /// A arena of high level expressions which can be lowered trough a
    /// [`Context`](Context) to naga's [`Expression`](crate::Expression)s
    pub hir_exprs: Arena<HirExpr>,
}

impl StmtContext {
    const fn new() -> Self {
        StmtContext {
            hir_exprs: Arena::new(),
        }
    }
}


================================================
FILE: lib/naga/src/front/glsl/error.rs
================================================
use super::{constants::ConstantSolvingError, token::TokenValue};
use crate::Span;
use pp_rs::token::PreprocessorError;
use std::borrow::Cow;
use thiserror::Error;

fn join_with_comma(list: &[ExpectedToken]) -> String {
    let mut string = "".to_string();
    for (i, val) in list.iter().enumerate() {
        string.push_str(&val.to_string());
        match i {
            i if i == list.len() - 1 => {}
            i if i == list.len() - 2 => string.push_str(" or "),
            _ => string.push_str(", "),
        }
    }
    string
}

/// One of the expected tokens returned in [`InvalidToken`](ErrorKind::InvalidToken).
#[derive(Debug, PartialEq)]
pub enum ExpectedToken {
    /// A specific token was expected.
    Token(TokenValue),
    /// A type was expected.
    TypeName,
    /// An identifier was expected.
    Identifier,
    /// An integer literal was expected.
    IntLiteral,
    /// A float literal was expected.
    FloatLiteral,
    /// A boolean literal was expected.
    BoolLiteral,
    /// The end of file was expected.
    Eof,
}
impl From<TokenValue> for ExpectedToken {
    fn from(token: TokenValue) -> Self {
        ExpectedToken::Token(token)
    }
}
impl std::fmt::Display for ExpectedToken {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        match *self {
            ExpectedToken::Token(ref token) => write!(f, "{:?}", token),
            ExpectedToken::TypeName => write!(f, "a type"),
            ExpectedToken::Identifier => write!(f, "identifier"),
            ExpectedToken::IntLiteral => write!(f, "integer literal"),
            ExpectedToken::FloatLiteral => write!(f, "float literal"),
            ExpectedToken::BoolLiteral => write!(f, "bool literal"),
            ExpectedToken::Eof => write!(f, "end of file"),
        }
    }
}

/// Information about the cause of an error.
#[derive(Debug, Error)]
#[cfg_attr(test, derive(PartialEq))]
pub enum ErrorKind {
    /// Whilst parsing as encountered an unexpected EOF.
    #[error("Unexpected end of file")]
    EndOfFile,
    /// The shader specified an unsupported or invalid profile.
    #[error("Invalid profile: {0}")]
    InvalidProfile(String),
    /// The shader requested an unsupported or invalid version.
    #[error("Invalid version: {0}")]
    InvalidVersion(u64),
    /// Whilst parsing an unexpected token was encountered.
    ///
    /// A list of expected tokens is also returned.
    #[error("Expected {}, found {0:?}", join_with_comma(.1))]
    InvalidToken(TokenValue, Vec<ExpectedToken>),
    /// A specific feature is not yet implemented.
    ///
    /// To help prioritize work please open an issue in the github issue tracker
    /// if none exist already or react to the already existing one.
    #[error("Not implemented: {0}")]
    NotImplemented(&'static str),
    /// A reference to a variable that wasn't declared was used.
    #[error("Unknown variable: {0}")]
    UnknownVariable(String),
    /// A reference to a type that wasn't declared was used.
    #[error("Unknown type: {0}")]
    UnknownType(String),
    /// A reference to a non existent member of a type was made.
    #[error("Unknown field: {0}")]
    UnknownField(String),
    /// An unknown layout qualifier was used.
    ///
    /// If the qualifier does exist please open an issue in the github issue tracker
    /// if none exist already or react to the already existing one to help
    /// prioritize work.
    #[error("Unknown layout qualifier: {0}")]
    UnknownLayoutQualifier(String),
    /// Unsupported matrix of the form matCx2
    ///
    /// Our IR expects matrices of the form matCx2 to have a stride of 8 however
    /// matrices in the std140 layout have a stride of at least 16
    #[error("unsupported matrix of the form matCx2 in std140 block layout")]
    UnsupportedMatrixTypeInStd140,
    /// A variable with the same name already exists in the current scope.
    #[error("Variable already declared: {0}")]
    VariableAlreadyDeclared(String),
    /// A semantic error was detected in the shader.
    #[error("{0}")]
    SemanticError(Cow<'static, str>),
    /// An error was returned by the preprocessor.
    #[error("{0:?}")]
    PreprocessorError(PreprocessorError),
    /// The parser entered an illegal state and exited
    ///
    /// This obviously is a bug and as such should be reported in the github issue tracker
    #[error("Internal error: {0}")]
    InternalError(&'static str),
}

impl From<ConstantSolvingError> for ErrorKind {
    fn from(err: ConstantSolvingError) -> Self {
        ErrorKind::SemanticError(err.to_string().into())
    }
}

/// Error returned during shader parsing.
#[derive(Debug, Error)]
#[error("{kind}")]
#[cfg_attr(test, derive(PartialEq))]
pub struct Error {
    /// Holds the information about the error itself.
    pub kind: ErrorKind,
    /// Holds information about the range of the source code where the error happened.
    pub meta: Span,
}


================================================
FILE: lib/naga/src/front/glsl/functions.rs
================================================
use super::{
    ast::*,
    builtins::{inject_builtin, sampled_to_depth},
    context::{Context, ExprPos, StmtContext},
    error::{Error, ErrorKind},
    types::scalar_components,
    Parser, Result,
};
use crate::{
    front::glsl::types::type_power, proc::ensure_block_returns, AddressSpace, Arena, Block,
    Constant, ConstantInner, EntryPoint, Expression, FastHashMap, Function, FunctionArgument,
    FunctionResult, Handle, LocalVariable, ScalarKind, ScalarValue, Span, Statement, StructMember,
    Type, TypeInner,
};
use std::iter;

impl Parser {
    fn add_constant_value(
        &mut self,
        scalar_kind: ScalarKind,
        value: u64,
        meta: Span,
    ) -> Handle<Constant> {
        let value = match scalar_kind {
            ScalarKind::Uint => ScalarValue::Uint(value),
            ScalarKind::Sint => ScalarValue::Sint(value as i64),
            ScalarKind::Float => ScalarValue::Float(value as f64),
            _ => unreachable!(),
        };

        self.module.constants.fetch_or_append(
            Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Scalar { width: 4, value },
            },
            meta,
        )
    }

    pub(crate) fn function_or_constructor_call(
        &mut self,
        ctx: &mut Context,
        stmt: &StmtContext,
        body: &mut Block,
        fc: FunctionCallKind,
        raw_args: &[Handle<HirExpr>],
        meta: Span,
    ) -> Result<Option<Handle<Expression>>> {
        let args: Vec<_> = raw_args
            .iter()
            .map(|e| ctx.lower_expect_inner(stmt, self, *e, ExprPos::Rhs, body))
            .collect::<Result<_>>()?;

        match fc {
            FunctionCallKind::TypeConstructor(ty) => {
                if args.len() == 1 {
                    self.constructor_single(ctx, body, ty, args[0], meta)
                        .map(Some)
                } else {
                    self.constructor_many(ctx, body, ty, args, meta).map(Some)
                }
            }
            FunctionCallKind::Function(name) => {
                self.function_call(ctx, stmt, body, name, args, raw_args, meta)
            }
        }
    }

    fn constructor_single(
        &mut self,
        ctx: &mut Context,
        body: &mut Block,
        ty: Handle<Type>,
        (mut value, expr_meta): (Handle<Expression>, Span),
        meta: Span,
    ) -> Result<Handle<Expression>> {
        let expr_type = self.resolve_type(ctx, value, expr_meta)?;

        let vector_size = match *expr_type {
            TypeInner::Vector { size, .. } => Some(size),
            _ => None,
        };

        // Special case: if casting from a bool, we need to use Select and not As.
        match self.module.types[ty].inner.scalar_kind() {
            Some(result_scalar_kind)
                if expr_type.scalar_kind() == Some(ScalarKind::Bool)
                    && result_scalar_kind != ScalarKind::Bool =>
            {
                let c0 = self.add_constant_value(result_scalar_kind, 0u64, meta);
                let c1 = self.add_constant_value(result_scalar_kind, 1u64, meta);
                let mut reject = ctx.add_expression(Expression::Constant(c0), expr_meta, body);
                let mut accept = ctx.add_expression(Expression::Constant(c1), expr_meta, body);

                ctx.implicit_splat(self, &mut reject, meta, vector_size)?;
                ctx.implicit_splat(self, &mut accept, meta, vector_size)?;

                let h = ctx.add_expression(
                    Expression::Select {
                        accept,
                        reject,
                        condition: value,
                    },
                    expr_meta,
                    body,
                );

                return Ok(h);
            }
            _ => {}
        }

        Ok(match self.module.types[ty].inner {
            TypeInner::Vector { size, kind, width } if vector_size.is_none() => {
                ctx.forced_conversion(self, &mut value, expr_meta, kind, width)?;

                if let TypeInner::Scalar { .. } = *self.resolve_type(ctx, value, expr_meta)? {
                    ctx.add_expression(Expression::Splat { size, value }, meta, body)
                } else {
                    self.vector_constructor(
                        ctx,
                        body,
                        ty,
                        size,
                        kind,
                        width,
                        &[(value, expr_meta)],
                        meta,
                    )?
                }
            }
            TypeInner::Scalar { kind, width } => {
                let mut expr = value;
                if let TypeInner::Vector { .. } | TypeInner::Matrix { .. } =
                    *self.resolve_type(ctx, value, expr_meta)?
                {
                    expr = ctx.add_expression(
                        Expression::AccessIndex {
                            base: expr,
                            index: 0,
                        },
                        meta,
                        body,
                    );
                }

                if let TypeInner::Matrix { .. } = *self.resolve_type(ctx, value, expr_meta)? {
                    expr = ctx.add_expression(
                        Expression::AccessIndex {
                            base: expr,
                            index: 0,
                        },
                        meta,
                        body,
                    );
                }

                ctx.add_expression(
                    Expression::As {
                        kind,
                        expr,
                        convert: Some(width),
                    },
                    meta,
                    body,
                )
            }
            TypeInner::Vector { size, kind, width } => {
                if vector_size.map_or(true, |s| s != size) {
                    value = ctx.vector_resize(size, value, expr_meta, body);
                }

                ctx.add_expression(
                    Expression::As {
                        kind,
                        expr: value,
                        convert: Some(width),
                    },
                    meta,
                    body,
                )
            }
            TypeInner::Matrix {
                columns,
                rows,
                width,
            } => self.matrix_one_arg(
                ctx,
                body,
                ty,
                columns,
                rows,
                width,
                (value, expr_meta),
                meta,
            )?,
            TypeInner::Struct { ref members, .. } => {
                let scalar_components = members
                    .get(0)
                    .and_then(|member| scalar_components(&self.module.types[member.ty].inner));
                if let Some((kind, width)) = scalar_components {
                    ctx.implicit_conversion(self, &mut value, expr_meta, kind, width)?;
                }

                ctx.add_expression(
                    Expression::Compose {
                        ty,
                        components: vec![value],
                    },
                    meta,
                    body,
                )
            }

            TypeInner::Array { base, .. } => {
                let scalar_components = scalar_components(&self.module.types[base].inner);
                if let Some((kind, width)) = scalar_components {
                    ctx.implicit_conversion(self, &mut value, expr_meta, kind, width)?;
                }

                ctx.add_expression(
                    Expression::Compose {
                        ty,
                        components: vec![value],
                    },
                    meta,
                    body,
                )
            }
            _ => {
                self.errors.push(Error {
                    kind: ErrorKind::SemanticError("Bad type constructor".into()),
                    meta,
                });

                value
            }
        })
    }

    #[allow(clippy::too_many_arguments)]
    fn matrix_one_arg(
        &mut self,
        ctx: &mut Context,
        body: &mut Block,
        ty: Handle<Type>,
        columns: crate::VectorSize,
        rows: crate::VectorSize,
        width: crate::Bytes,
        (mut value, expr_meta): (Handle<Expression>, Span),
        meta: Span,
    ) -> Result<Handle<Expression>> {
        let mut components = Vec::with_capacity(columns as usize);
        // TODO: casts
        // `Expression::As` doesn't support matrix width
        // casts so we need to do some extra work for casts

        ctx.forced_conversion(self, &mut value, expr_meta, ScalarKind::Float, width)?;
        match *self.resolve_type(ctx, value, expr_meta)? {
            TypeInner::Scalar { .. } => {
                // If a matrix is constructed with a single scalar value, then that
                // value is used to initialize all the values along the diagonal of
                // the matrix; the rest are given zeros.
                let vector_ty = self.module.types.insert(
                    Type {
                        name: None,
                        inner: TypeInner::Vector {
                            size: rows,
                            kind: ScalarKind::Float,
                            width,
                        },
                    },
                    meta,
                );
                let zero_constant = self.module.constants.fetch_or_append(
                    Constant {
                        name: None,
                        specialization: None,
                        inner: ConstantInner::Scalar {
                            width,
                            value: ScalarValue::Float(0.0),
                        },
                    },
                    meta,
                );
                let zero = ctx.add_expression(Expression::Constant(zero_constant), meta, body);

                for i in 0..columns as u32 {
                    components.push(
                        ctx.add_expression(
                            Expression::Compose {
                                ty: vector_ty,
                                components: (0..rows as u32)
                                    .into_iter()
                                    .map(|r| match r == i {
                                        true => value,
                                        false => zero,
                                    })
                                    .collect(),
                            },
                            meta,
                            body,
                        ),
                    )
                }
            }
            TypeInner::Matrix {
                rows: ori_rows,
                columns: ori_cols,
                ..
            } => {
                // If a matrix is constructed from a matrix, then each component
                // (column i, row j) in the result that has a corresponding component
                // (column i, row j) in the argument will be initialized from there. All
                // other components will be initialized to the identity matrix.

                let zero_constant = self.module.constants.fetch_or_append(
                    Constant {
                        name: None,
                        specialization: None,
                        inner: ConstantInner::Scalar {
                            width,
                            value: ScalarValue::Float(0.0),
                        },
                    },
                    meta,
                );
                let zero = ctx.add_expression(Expression::Constant(zero_constant), meta, body);
                let one_constant = self.module.constants.fetch_or_append(
                    Constant {
                        name: None,
                        specialization: None,
                        inner: ConstantInner::Scalar {
                            width,
                            value: ScalarValue::Float(1.0),
                        },
                    },
                    meta,
                );
                let one = ctx.add_expression(Expression::Constant(one_constant), meta, body);
                let vector_ty = self.module.types.insert(
                    Type {
                        name: None,
                        inner: TypeInner::Vector {
                            size: rows,
                            kind: ScalarKind::Float,
                            width,
                        },
                    },
                    meta,
                );

                for i in 0..columns as u32 {
                    if i < ori_cols as u32 {
                        use std::cmp::Ordering;

                        let vector = ctx.add_expression(
                            Expression::AccessIndex {
                                base: value,
                                index: i,
                            },
                            meta,
                            body,
                        );

                        components.push(match ori_rows.cmp(&rows) {
                            Ordering::Less => {
                                let components = (0..rows as u32)
                                    .into_iter()
                                    .map(|r| {
                                        if r < ori_rows as u32 {
                                            ctx.add_expression(
                                                Expression::AccessIndex {
                                                    base: vector,
                                                    index: r,
                                                },
                                                meta,
                                                body,
                                            )
                                        } else if r == i {
                                            one
                                        } else {
                                            zero
                                        }
                                    })
                                    .collect();

                                ctx.add_expression(
                                    Expression::Compose {
                                        ty: vector_ty,
                                        components,
                                    },
                                    meta,
                                    body,
                                )
                            }
                            Ordering::Equal => vector,
                            Ordering::Greater => ctx.vector_resize(rows, vector, meta, body),
                        })
                    } else {
                        let vec_constant = self.module.constants.fetch_or_append(
                            Constant {
                                name: None,
                                specialization: None,
                                inner: ConstantInner::Composite {
                                    ty: vector_ty,
                                    components: (0..rows as u32)
                                        .into_iter()
                                        .map(|r| match r == i {
                                            true => one_constant,
                                            false => zero_constant,
                                        })
                                        .collect(),
                                },
                            },
                            meta,
                        );
                        let vec =
                            ctx.add_expression(Expression::Constant(vec_constant), meta, body);

                        components.push(vec)
                    }
                }
            }
            _ => {
                components = iter::repeat(value).take(columns as usize).collect();
            }
        }

        Ok(ctx.add_expression(Expression::Compose { ty, components }, meta, body))
    }

    #[allow(clippy::too_many_arguments)]
    fn vector_constructor(
        &mut self,
        ctx: &mut Context,
        body: &mut Block,
        ty: Handle<Type>,
        size: crate::VectorSize,
        kind: ScalarKind,
        width: crate::Bytes,
        args: &[(Handle<Expression>, Span)],
        meta: Span,
    ) -> Result<Handle<Expression>> {
        let mut components = Vec::with_capacity(size as usize);

        for (mut arg, expr_meta) in args.iter().copied() {
            ctx.forced_conversion(self, &mut arg, expr_meta, kind, width)?;

            if components.len() >= size as usize {
                break;
            }

            match *self.resolve_type(ctx, arg, expr_meta)? {
                TypeInner::Scalar { .. } => components.push(arg),
                TypeInner::Matrix { rows, columns, .. } => {
                    components.reserve(rows as usize * columns as usize);
                    for c in 0..(columns as u32) {
                        let base = ctx.add_expression(
                            Expression::AccessIndex {
                                base: arg,
                                index: c,
                            },
                            expr_meta,
                            body,
                        );
                        for r in 0..(rows as u32) {
                            components.push(ctx.add_expression(
                                Expression::AccessIndex { base, index: r },
                                expr_meta,
                                body,
                            ))
                        }
                    }
                }
                TypeInner::Vector { size: ori_size, .. } => {
                    components.reserve(ori_size as usize);
                    for index in 0..(ori_size as u32) {
                        components.push(ctx.add_expression(
                            Expression::AccessIndex { base: arg, index },
                            expr_meta,
                            body,
                        ))
                    }
                }
                _ => components.push(arg),
            }
        }

        components.truncate(size as usize);

        Ok(ctx.add_expression(Expression::Compose { ty, components }, meta, body))
    }

    fn constructor_many(
        &mut self,
        ctx: &mut Context,
        body: &mut Block,
        ty: Handle<Type>,
        args: Vec<(Handle<Expression>, Span)>,
        meta: Span,
    ) -> Result<Handle<Expression>> {
        let mut components = Vec::with_capacity(args.len());

        match self.module.types[ty].inner {
            TypeInner::Matrix {
                columns,
                rows,
                width,
            } => {
                let mut flattened = Vec::with_capacity(columns as usize * rows as usize);

                for (mut arg, meta) in args.iter().copied() {
                    ctx.forced_conversion(self, &mut arg, meta, ScalarKind::Float, width)?;

                    match *self.resolve_type(ctx, arg, meta)? {
                        TypeInner::Vector { size, .. } => {
                            for i in 0..(size as u32) {
                                flattened.push(ctx.add_expression(
                                    Expression::AccessIndex {
                                        base: arg,
                                        index: i,
                                    },
                                    meta,
                                    body,
                                ))
                            }
                        }
                        _ => flattened.push(arg),
                    }
                }

                let ty = self.module.types.insert(
                    Type {
                        name: None,
                        inner: TypeInner::Vector {
                            size: rows,
                            kind: ScalarKind::Float,
                            width,
                        },
                    },
                    meta,
                );

                for chunk in flattened.chunks(rows as usize) {
                    components.push(ctx.add_expression(
                        Expression::Compose {
                            ty,
                            components: Vec::from(chunk),
                        },
                        meta,
                        body,
                    ))
                }
            }
            TypeInner::Vector { size, kind, width } => {
                return self.vector_constructor(ctx, body, ty, size, kind, width, &args, meta)
            }
            TypeInner::Array { base, .. } => {
                for (mut arg, meta) in args.iter().copied() {
                    let scalar_components = scalar_components(&self.module.types[base].inner);
                    if let Some((kind, width)) = scalar_components {
                        ctx.implicit_conversion(self, &mut arg, meta, kind, width)?;
                    }

                    components.push(arg)
                }
            }
            TypeInner::Struct { ref members, .. } => {
                for ((mut arg, meta), member) in args.iter().copied().zip(members.iter()) {
                    let scalar_components = scalar_components(&self.module.types[member.ty].inner);
                    if let Some((kind, width)) = scalar_components {
                        ctx.implicit_conversion(self, &mut arg, meta, kind, width)?;
                    }

                    components.push(arg)
                }
            }
            _ => {
                return Err(Error {
                    kind: ErrorKind::SemanticError("Constructor: Too many arguments".into()),
                    meta,
                })
            }
        }

        Ok(ctx.add_expression(Expression::Compose { ty, components }, meta, body))
    }

    #[allow(clippy::too_many_arguments)]
    fn function_call(
        &mut self,
        ctx: &mut Context,
        stmt: &StmtContext,
        body: &mut Block,
        name: String,
        args: Vec<(Handle<Expression>, Span)>,
        raw_args: &[Handle<HirExpr>],
        meta: Span,
    ) -> Result<Option<Handle<Expression>>> {
        // Grow the typifier to be able to index it later without needing
        // to hold the context mutably
        for &(expr, span) in args.iter() {
            self.typifier_grow(ctx, expr, span)?;
        }

        // Check if the passed arguments require any special variations
        let mut variations = builtin_required_variations(
            args.iter()
                .map(|&(expr, _)| ctx.typifier.get(expr, &self.module.types)),
        );

        // Initiate the declaration if it wasn't previously initialized and inject builtins
        let declaration = self.lookup_function.entry(name.clone()).or_insert_with(|| {
            variations |= BuiltinVariations::STANDARD;
            Default::default()
        });
        inject_builtin(declaration, &mut self.module, &name, variations);

        // Borrow again but without mutability, at this point a declaration is guaranteed
        let declaration = self.lookup_function.get(&name).unwrap();

        // Possibly contains the overload to be used in the call
        let mut maybe_overload = None;
        // The conversions needed for the best analyzed overload, this is initialized all to
        // `NONE` to make sure that conversions always pass the first time without ambiguity
        let mut old_conversions = vec![Conversion::None; args.len()];
        // Tracks whether the comparison between overloads lead to an ambiguity
        let mut ambiguous = false;

        // Iterate over all the available overloads to select either an exact match or a
        // overload which has suitable implicit conversions
        'outer: for overload in declaration.overloads.iter() {
            // If the overload and the function call don't have the same number of arguments
            // continue to the next overload
            if args.len() != overload.parameters.len() {
                continue;
            }

            // Stores whether the current overload matches exactly the function call
            let mut exact = true;
            // State of the selection
            // If None we still don't know what is the best overload
            // If Some(true) the new overload is better
            // If Some(false) the old overload is better
            let mut superior = None;
            // Store the conversions for the current overload so that later they can replace the
            // conversions used for querying the best overload
            let mut new_conversions = vec![Conversion::None; args.len()];

            // Loop trough the overload parameters and check if the current overload is better
            // compared to the previous best overload.
            for (i, overload_parameter) in overload.parameters.iter().enumerate() {
                let call_argument = &args[i];
                let parameter_info = &overload.parameters_info[i];

                // If the image is used in the overload as a depth texture convert it
                // before comparing, otherwise exact matches wouldn't be reported
                if parameter_info.depth {
                    sampled_to_depth(
                        &mut self.module,
                        ctx,
                        call_argument.0,
                        call_argument.1,
                        &mut self.errors,
                    );
                    self.invalidate_expression(ctx, call_argument.0, call_argument.1)?
                }

                let overload_param_ty = &self.module.types[*overload_parameter].inner;
                let call_arg_ty = self.resolve_type(ctx, call_argument.0, call_argument.1)?;

                log::trace!(
                    "Testing parameter {}\n\tOverload = {:?}\n\tCall = {:?}",
                    i,
                    overload_param_ty,
                    call_arg_ty
                );

                // Storage images cannot be directly compared since while the access is part of the
                // type in naga's IR, in glsl they are a qualifier and don't enter in the match as
                // long as the access needed is satisfied.
                if let (
                    &TypeInner::Image {
                        class:
                            crate::ImageClass::Storage {
                                format: overload_format,
                                access: overload_access,
                            },
                        dim: overload_dim,
                        arrayed: overload_arrayed,
                    },
                    &TypeInner::Image {
                        class:
                            crate::ImageClass::Storage {
                                format: call_format,
                                access: call_access,
                            },
                        dim: call_dim,
                        arrayed: call_arrayed,
                    },
                ) = (overload_param_ty, call_arg_ty)
                {
                    // Images size must match otherwise the overload isn't what we want
                    let good_size = call_dim == overload_dim && call_arrayed == overload_arrayed;
                    // Glsl requires the formats to strictly match unless you are builtin
                    // function overload and have not been replaced, in which case we only
                    // check that the format scalar kind matches
                    let good_format = overload_format == call_format
                        || (overload.internal
                            && ScalarKind::from(overload_format) == ScalarKind::from(call_format));
                    if !(good_size && good_format) {
                        continue 'outer;
                    }

                    // While storage access mismatch is an error it isn't one that causes
                    // the overload matching to fail so we defer the error and consider
                    // that the images match exactly
                    if !call_access.contains(overload_access) {
                        self.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                format!(
                                    "'{}': image needs {:?} access but only {:?} was provided",
                                    name, overload_access, call_access
                                )
                                .into(),
                            ),
                            meta,
                        });
                    }

                    // The images satisfy the conditions to be considered as an exact match
                    new_conversions[i] = Conversion::Exact;
                    continue;
                } else if overload_param_ty == call_arg_ty {
                    // If the types match there's no need to check for conversions so continue
                    new_conversions[i] = Conversion::Exact;
                    continue;
                }

                // If the argument is to be passed as a pointer (i.e. either `out` or
                // `inout` where used as qualifiers) no conversion shall be performed
                if parameter_info.qualifier.is_lhs() {
                    continue 'outer;
                }

                // Try to get the type of conversion needed otherwise this overload can't be used
                // since no conversion makes it possible so skip it
                let conversion = match conversion(overload_param_ty, call_arg_ty) {
                    Some(info) => info,
                    None => continue 'outer,
                };

                // At this point a conversion will be needed so the overload no longer
                // exactly matches the call arguments
                exact = false;

                // Compare the conversions needed for this overload parameter to that of the
                // last overload analyzed respective parameter, the value is:
                // - `true` when the new overload argument has a better conversion
                // - `false` when the old overload argument has a better conversion
                let best_arg = match (conversion, old_conversions[i]) {
                    // An exact match is always better, we don't need to check this for the
                    // current overload since it was checked earlier
                    (_, Conversion::Exact) => false,
                    // No overload was yet analyzed so this one is the best yet
                    (_, Conversion::None) => true,
                    // A conversion from a float to a double is the best possible conversion
                    (Conversion::FloatToDouble, _) => true,
                    (_, Conversion::FloatToDouble) => false,
                    // A conversion from a float to an integer is preferred than one
                    // from double to an integer
                    (Conversion::IntToFloat, Conversion::IntToDouble) => true,
                    (Conversion::IntToDouble, Conversion::IntToFloat) => false,
                    // This case handles things like no conversion and exact which were already
                    // treated and other cases which no conversion is better than the other
                    _ => continue,
                };

                // Check if the best parameter corresponds to the current selected overload
                // to pass to the next comparison, if this isn't true mark it as ambiguous
                match best_arg {
                    true => match superior {
                        Some(false) => ambiguous = true,
                        _ => {
                            superior = Some(true);
                            new_conversions[i] = conversion
                        }
                    },
                    false => match superior {
                        Some(true) => ambiguous = true,
                        _ => superior = Some(false),
                    },
                }
            }

            // The overload matches exactly the function call so there's no ambiguity (since
            // repeated overload aren't allowed) and the current overload is selected, no
            // further querying is needed.
            if exact {
                maybe_overload = Some(overload);
                ambiguous = false;
                break;
            }

            match superior {
                // New overload is better keep it
                Some(true) => {
                    maybe_overload = Some(overload);
                    // Replace the conversions
                    old_conversions = new_conversions;
                }
                // Old overload is better do nothing
                Some(false) => {}
                // No overload was better than the other this can be caused
                // when all conversions are ambiguous in which the overloads themselves are
                // ambiguous.
                None => {
                    ambiguous = true;
                    // Assign the new overload, this helps ensures that in this case of
                    // ambiguity the parsing won't end immediately and allow for further
                    // collection of errors.
                    maybe_overload = Some(overload);
                }
            }
        }

        if ambiguous {
            self.errors.push(Error {
                kind: ErrorKind::SemanticError(
                    format!("Ambiguous best function for '{}'", name).into(),
                ),
                meta,
            })
        }

        let overload = maybe_overload.ok_or_else(|| Error {
            kind: ErrorKind::SemanticError(format!("Unknown function '{}'", name).into()),
            meta,
        })?;

        let parameters_info = overload.parameters_info.clone();
        let parameters = overload.parameters.clone();
        let is_void = overload.void;
        let kind = overload.kind;

        let mut arguments = Vec::with_capacity(args.len());
        let mut proxy_writes = Vec::new();
        // Iterate trough the function call arguments applying transformations as needed
        for (parameter_info, (expr, parameter)) in parameters_info
            .iter()
            .zip(raw_args.iter().zip(parameters.iter()))
        {
            let (mut handle, meta) =
                ctx.lower_expect_inner(stmt, self, *expr, parameter_info.qualifier.as_pos(), body)?;

            if parameter_info.qualifier.is_lhs() {
                let (ty, value) = match *self.resolve_type(ctx, handle, meta)? {
                    // If the argument is to be passed as a pointer but the type of the
                    // expression returns a vector it must mean that it was for example
                    // swizzled and it must be spilled into a local before calling
                    TypeInner::Vector { size, kind, width } => (
                        self.module.types.insert(
                            Type {
                                name: None,
                                inner: TypeInner::Vector { size, kind, width },
                            },
                            Span::default(),
                        ),
                        handle,
                    ),
                    // If the argument is a pointer whose address space isn't `Function`, an
                    // indirection through a local variable is needed to align the address
                    // spaces of the call argument and the overload parameter.
                    TypeInner::Pointer { base, space } if space != AddressSpace::Function => (
                        base,
                        ctx.add_expression(
                            Expression::Load { pointer: handle },
                            Span::default(),
                            body,
                        ),
                    ),
                    TypeInner::ValuePointer {
                        size,
                        kind,
                        width,
                        space,
                    } if space != AddressSpace::Function => {
                        let inner = match size {
                            Some(size) => TypeInner::Vector { size, kind, width },
                            None => TypeInner::Scalar { kind, width },
                        };

                        (
                            self.module
                                .types
                                .insert(Type { name: None, inner }, Span::default()),
                            ctx.add_expression(
                                Expression::Load { pointer: handle },
                                Span::default(),
                                body,
                            ),
                        )
                    }
                    _ => {
                        arguments.push(handle);
                        continue;
                    }
                };

                let temp_var = ctx.locals.append(
                    LocalVariable {
                        name: None,
                        ty,
                        init: None,
                    },
                    Span::default(),
                );
                let temp_expr =
                    ctx.add_expression(Expression::LocalVariable(temp_var), Span::default(), body);

                body.push(
                    Statement::Store {
                        pointer: temp_expr,
                        value,
                    },
                    Span::default(),
                );

                arguments.push(temp_expr);
                // Register the temporary local to be written back to it's original
                // place after the function call
                if let Expression::Swizzle {
                    size,
                    mut vector,
                    pattern,
                } = ctx.expressions[value]
                {
                    if let Expression::Load { pointer } = ctx.expressions[vector] {
                        vector = pointer;
                    }

                    for (i, component) in pattern.iter().take(size as usize).enumerate() {
                        let original = ctx.add_expression(
                            Expression::AccessIndex {
                                base: vector,
                                index: *component as u32,
                            },
                            Span::default(),
                            body,
                        );

                        let temp = ctx.add_expression(
                            Expression::AccessIndex {
                                base: temp_expr,
                                index: i as u32,
                            },
                            Span::default(),
                            body,
                        );

                        proxy_writes.push((original, temp));
                    }
                } else {
                    proxy_writes.push((handle, temp_expr));
                }
                continue;
            }

            // Apply implicit conversions as needed
            let scalar_components = scalar_components(&self.module.types[*parameter].inner);
            if let Some((kind, width)) = scalar_components {
                ctx.implicit_conversion(self, &mut handle, meta, kind, width)?;
            }

            arguments.push(handle)
        }

        match kind {
            FunctionKind::Call(function) => {
                ctx.emit_end(body);

                let result = if !is_void {
                    Some(ctx.add_expression(Expression::CallResult(function), meta, body))
                } else {
                    None
                };

                body.push(
                    crate::Statement::Call {
                        function,
                        arguments,
                        result,
                    },
                    meta,
                );

                ctx.emit_start();

                // Write back all the variables that were scheduled to their original place
                for (original, pointer) in proxy_writes {
                    let value = ctx.add_expression(Expression::Load { pointer }, meta, body);

                    ctx.emit_restart(body);

                    body.push(
                        Statement::Store {
                            pointer: original,
                            value,
                        },
                        meta,
                    );
                }

                Ok(result)
            }
            FunctionKind::Macro(builtin) => {
                builtin.call(self, ctx, body, arguments.as_mut_slice(), meta)
            }
        }
    }

    pub(crate) fn add_function(
        &mut self,
        ctx: Context,
        name: String,
        result: Option<FunctionResult>,
        mut body: Block,
        meta: Span,
    ) {
        ensure_block_returns(&mut body);

        let void = result.is_none();

        let &mut Parser {
            ref mut lookup_function,
            ref mut module,
            ..
        } = self;

        // Check if the passed arguments require any special variations
        let mut variations =
            builtin_required_variations(ctx.parameters.iter().map(|&arg| &module.types[arg].inner));

        // Initiate the declaration if it wasn't previously initialized and inject builtins
        let declaration = lookup_function.entry(name.clone()).or_insert_with(|| {
            variations |= BuiltinVariations::STANDARD;
            Default::default()
        });
        inject_builtin(declaration, module, &name, variations);

        let Context {
            expressions,
            locals,
            arguments,
            parameters,
            parameters_info,
            ..
        } = ctx;

        let function = Function {
            name: Some(name),
            arguments,
            result,
            local_variables: locals,
            expressions,
            named_expressions: FastHashMap::default(),
            body,
        };

        'outer: for decl in declaration.overloads.iter_mut() {
            if parameters.len() != decl.parameters.len() {
                continue;
            }

            for (new_parameter, old_parameter) in parameters.iter().zip(decl.parameters.iter()) {
                let new_inner = &module.types[*new_parameter].inner;
                let old_inner = &module.types[*old_parameter].inner;

                if new_inner != old_inner {
                    continue 'outer;
                }
            }

            if decl.defined {
                return self.errors.push(Error {
                    kind: ErrorKind::SemanticError("Function already defined".into()),
                    meta,
                });
            }

            decl.defined = true;
            decl.parameters_info = parameters_info;
            match decl.kind {
                FunctionKind::Call(handle) => *self.module.functions.get_mut(handle) = function,
                FunctionKind::Macro(_) => {
                    let handle = module.functions.append(function, meta);
                    decl.kind = FunctionKind::Call(handle)
                }
            }
            return;
        }

        let handle = module.functions.append(function, meta);
        declaration.overloads.push(Overload {
            parameters,
            parameters_info,
            kind: FunctionKind::Call(handle),
            defined: true,
            internal: false,
            void,
        });
    }

    pub(crate) fn add_prototype(
        &mut self,
        ctx: Context,
        name: String,
        result: Option<FunctionResult>,
        meta: Span,
    ) {
        let void = result.is_none();

        let &mut Parser {
            ref mut lookup_function,
            ref mut module,
            ..
        } = self;

        // Check if the passed arguments require any special variations
        let mut variations =
            builtin_required_variations(ctx.parameters.iter().map(|&arg| &module.types[arg].inner));

        // Initiate the declaration if it wasn't previously initialized and inject builtins
        let declaration = lookup_function.entry(name.clone()).or_insert_with(|| {
            variations |= BuiltinVariations::STANDARD;
            Default::default()
        });
        inject_builtin(declaration, module, &name, variations);

        let Context {
            arguments,
            parameters,
            parameters_info,
            ..
        } = ctx;

        let function = Function {
            name: Some(name),
            arguments,
            result,
            ..Default::default()
        };

        'outer: for decl in declaration.overloads.iter() {
            if parameters.len() != decl.parameters.len() {
                continue;
            }

            for (new_parameter, old_parameter) in parameters.iter().zip(decl.parameters.iter()) {
                let new_inner = &module.types[*new_parameter].inner;
                let old_inner = &module.types[*old_parameter].inner;

                if new_inner != old_inner {
                    continue 'outer;
                }
            }

            return self.errors.push(Error {
                kind: ErrorKind::SemanticError("Prototype already defined".into()),
                meta,
            });
        }

        let handle = module.functions.append(function, meta);
        declaration.overloads.push(Overload {
            parameters,
            parameters_info,
            kind: FunctionKind::Call(handle),
            defined: false,
            internal: false,
            void,
        });
    }

    /// Helper function for building the input/output interface of the entry point
    ///
    /// Calls `f` with the data of the entry point argument, flattening composite types
    /// recursively
    ///
    /// The passed arguments to the callback are:
    /// - The name
    /// - The pointer expression to the global storage
    /// - The handle to the type of the entry point argument
    /// - The binding of the entry point argument
    /// - The expression arena
    fn arg_type_walker(
        &self,
        name: Option<String>,
        binding: crate::Binding,
        pointer: Handle<Expression>,
        ty: Handle<Type>,
        expressions: &mut Arena<Expression>,
        f: &mut impl FnMut(
            Option<String>,
            Handle<Expression>,
            Handle<Type>,
            crate::Binding,
            &mut Arena<Expression>,
        ),
    ) {
        match self.module.types[ty].inner {
            TypeInner::Array {
                base,
                size: crate::ArraySize::Constant(constant),
                ..
            } => {
                let mut location = match binding {
                    crate::Binding::Location { location, .. } => location,
                    _ => return,
                };

                // TODO: Better error reporting
                // right now we just don't walk the array if the size isn't known at
                // compile time and let validation catch it
                let size = match self.module.constants[constant].to_array_length() {
                    Some(val) => val,
                    None => return f(name, pointer, ty, binding, expressions),
                };

                let interpolation =
                    self.module.types[base]
                        .inner
                        .scalar_kind()
                        .map(|kind| match kind {
                            ScalarKind::Float => crate::Interpolation::Perspective,
                            _ => crate::Interpolation::Flat,
                        });

                for index in 0..size {
                    let member_pointer = expressions.append(
                        Expression::AccessIndex {
                            base: pointer,
                            index,
                        },
                        crate::Span::default(),
                    );

                    let binding = crate::Binding::Location {
                        location,
                        interpolation,
                        sampling: None,
                    };
                    location += 1;

                    self.arg_type_walker(
                        name.clone(),
                        binding,
                        member_pointer,
                        base,
                        expressions,
                        f,
                    )
                }
            }
            TypeInner::Struct { ref members, .. } => {
                let mut location = match binding {
                    crate::Binding::Location { location, .. } => location,
                    _ => return,
                };

                for (i, member) in members.iter().enumerate() {
                    let member_pointer = expressions.append(
                        Expression::AccessIndex {
                            base: pointer,
                            index: i as u32,
                        },
                        crate::Span::default(),
                    );

                    let binding = match member.binding.clone() {
                        Some(binding) => binding,
                        None => {
                            let interpolation = self.module.types[member.ty]
                                .inner
                                .scalar_kind()
                                .map(|kind| match kind {
                                    ScalarKind::Float => crate::Interpolation::Perspective,
                                    _ => crate::Interpolation::Flat,
                                });
                            let binding = crate::Binding::Location {
                                location,
                                interpolation,
                                sampling: None,
                            };
                            location += 1;
                            binding
                        }
                    };

                    self.arg_type_walker(
                        member.name.clone(),
                        binding,
                        member_pointer,
                        member.ty,
                        expressions,
                        f,
                    )
                }
            }
            _ => f(name, pointer, ty, binding, expressions),
        }
    }

    pub(crate) fn add_entry_point(
        &mut self,
        function: Handle<Function>,
        global_init_body: Block,
        mut expressions: Arena<Expression>,
    ) {
        let mut arguments = Vec::new();
        let mut body = Block::with_capacity(
            // global init body
            global_init_body.len() +
                        // prologue and epilogue
                        self.entry_args.len() * 2
                        // Call, Emit for composing struct and return
                        + 3,
        );

        for arg in self.entry_args.iter() {
            if arg.storage != StorageQualifier::Input {
                continue;
            }

            let pointer =
                expressions.append(Expression::GlobalVariable(arg.handle), Default::default());

            self.arg_type_walker(
                arg.name.clone(),
                arg.binding.clone(),
                pointer,
                self.module.global_variables[arg.handle].ty,
                &mut expressions,
                &mut |name, pointer, ty, binding, expressions| {
                    let idx = arguments.len() as u32;

                    arguments.push(FunctionArgument {
                        name,
                        ty,
                        binding: Some(binding),
                    });

                    let value =
                        expressions.append(Expression::FunctionArgument(idx), Default::default());
                    body.push(Statement::Store { pointer, value }, Default::default());
                },
            )
        }

        body.extend_block(global_init_body);

        body.push(
            Statement::Call {
                function,
                arguments: Vec::new(),
                result: None,
            },
            Default::default(),
        );

        let mut span = 0;
        let mut members = Vec::new();
        let mut components = Vec::new();

        for arg in self.entry_args.iter() {
            if arg.storage != StorageQualifier::Output {
                continue;
            }

            let pointer =
                expressions.append(Expression::GlobalVariable(arg.handle), Default::default());

            self.arg_type_walker(
                arg.name.clone(),
                arg.binding.clone(),
                pointer,
                self.module.global_variables[arg.handle].ty,
                &mut expressions,
                &mut |name, pointer, ty, binding, expressions| {
                    members.push(StructMember {
                        name,
                        ty,
                        binding: Some(binding),
                        offset: span,
                    });

                    span += self.module.types[ty].inner.size(&self.module.constants);

                    let len = expressions.len();
                    let load = expressions.append(Expression::Load { pointer }, Default::default());
                    body.push(
                        Statement::Emit(expressions.range_from(len)),
                        Default::default(),
                    );
                    components.push(load)
                },
            )
        }

        let (ty, value) = if !components.is_empty() {
            let ty = self.module.types.insert(
                Type {
                    name: None,
                    inner: TypeInner::Struct { members, span },
                },
                Default::default(),
            );

            let len = expressions.len();
            let res =
                expressions.append(Expression::Compose { ty, components }, Default::default());
            body.push(
                Statement::Emit(expressions.range_from(len)),
                Default::default(),
            );

            (Some(ty), Some(res))
        } else {
            (None, None)
        };

        body.push(Statement::Return { value }, Default::default());

        self.module.entry_points.push(EntryPoint {
            name: "main".to_string(),
            stage: self.meta.stage,
            early_depth_test: Some(crate::EarlyDepthTest { conservative: None })
                .filter(|_| self.meta.early_fragment_tests),
            workgroup_size: self.meta.workgroup_size,
            function: Function {
                arguments,
                expressions,
                body,
                result: ty.map(|ty| FunctionResult { ty, binding: None }),
                ..Default::default()
            },
        });
    }
}

/// Helper enum containing the type of conversion need for a call
#[derive(PartialEq, Eq, Clone, Copy, Debug)]
enum Conversion {
    /// No conversion needed
    Exact,
    /// Float to double conversion needed
    FloatToDouble,
    /// Int or uint to float conversion needed
    IntToFloat,
    /// Int or uint to double conversion needed
    IntToDouble,
    /// Other type of conversion needed
    Other,
    /// No conversion was yet registered
    None,
}

/// Helper function, returns the type of conversion from `source` to `target`, if a
/// conversion is not possible returns None.
fn conversion(target: &TypeInner, source: &TypeInner) -> Option<Conversion> {
    use ScalarKind::*;

    // Gather the `ScalarKind` and scalar width from both the target and the source
    let (target_kind, target_width, source_kind, source_width) = match (target, source) {
        // Conversions between scalars are allowed
        (
            &TypeInner::Scalar {
                kind: tgt_kind,
                width: tgt_width,
            },
            &TypeInner::Scalar {
                kind: src_kind,
                width: src_width,
            },
        ) => (tgt_kind, tgt_width, src_kind, src_width),
        // Conversions between vectors of the same size are allowed
        (
            &TypeInner::Vector {
                kind: tgt_kind,
                size: tgt_size,
                width: tgt_width,
            },
            &TypeInner::Vector {
                kind: src_kind,
                size: src_size,
                width: src_width,
            },
        ) if tgt_size == src_size => (tgt_kind, tgt_width, src_kind, src_width),
        // Conversions between matrices of the same size are allowed
        (
            &TypeInner::Matrix {
                rows: tgt_rows,
                columns: tgt_cols,
                width: tgt_width,
            },
            &TypeInner::Matrix {
                rows: src_rows,
                columns: src_cols,
                width: src_width,
            },
        ) if tgt_cols == src_cols && tgt_rows == src_rows => (Float, tgt_width, Float, src_width),
        _ => return None,
    };

    // Check if source can be converted into target, if this is the case then the type
    // power of target must be higher than that of source
    let target_power = type_power(target_kind, target_width);
    let source_power = type_power(source_kind, source_width);
    if target_power < source_power {
        return None;
    }

    Some(
        match ((target_kind, target_width), (source_kind, source_width)) {
            // A conversion from a float to a double is special
            ((Float, 8), (Float, 4)) => Conversion::FloatToDouble,
            // A conversion from an integer to a float is special
            ((Float, 4), (Sint | Uint, _)) => Conversion::IntToFloat,
            // A conversion from an integer to a double is special
            ((Float, 8), (Sint | Uint, _)) => Conversion::IntToDouble,
            _ => Conversion::Other,
        },
    )
}

/// Helper method returning all the non standard builtin variations needed
/// to process the function call with the passed arguments
fn builtin_required_variations<'a>(args: impl Iterator<Item = &'a TypeInner>) -> BuiltinVariations {
    let mut variations = BuiltinVariations::empty();

    for ty in args {
        match *ty {
            TypeInner::ValuePointer { kind, width, .. }
            | TypeInner::Scalar { kind, width }
            | TypeInner::Vector { kind, width, .. } => {
                if kind == ScalarKind::Float && width == 8 {
                    variations |= BuiltinVariations::DOUBLE
                }
            }
            TypeInner::Matrix { width, .. } => {
                if width == 8 {
                    variations |= BuiltinVariations::DOUBLE
                }
            }
            TypeInner::Image {
                dim,
                arrayed,
                class,
            } => {
                if dim == crate::ImageDimension::Cube && arrayed {
                    variations |= BuiltinVariations::CUBE_TEXTURES_ARRAY
                }

                if dim == crate::ImageDimension::D2 && arrayed && class.is_multisampled() {
                    variations |= BuiltinVariations::D2_MULTI_TEXTURES_ARRAY
                }
            }
            _ => {}
        }
    }

    variations
}


================================================
FILE: lib/naga/src/front/glsl/lex.rs
================================================
use super::{
    ast::Precision,
    token::{Directive, DirectiveKind, Token, TokenValue},
    types::parse_type,
};
use crate::{FastHashMap, Span, StorageAccess};
use pp_rs::{
    pp::Preprocessor,
    token::{PreprocessorError, Punct, TokenValue as PPTokenValue},
};

#[derive(Debug)]
#[cfg_attr(test, derive(PartialEq))]
pub struct LexerResult {
    pub kind: LexerResultKind,
    pub meta: Span,
}

#[derive(Debug)]
#[cfg_attr(test, derive(PartialEq))]
pub enum LexerResultKind {
    Token(Token),
    Directive(Directive),
    Error(PreprocessorError),
}

pub struct Lexer<'a> {
    pp: Preprocessor<'a>,
}

impl<'a> Lexer<'a> {
    pub fn new(input: &'a str, defines: &'a FastHashMap<String, String>) -> Self {
        let mut pp = Preprocessor::new(input);
        for (define, value) in defines {
            pp.add_define(define, value).unwrap(); //TODO: handle error
        }
        Lexer { pp }
    }
}

impl<'a> Iterator for Lexer<'a> {
    type Item = LexerResult;
    fn next(&mut self) -> Option<Self::Item> {
        let pp_token = match self.pp.next()? {
            Ok(t) => t,
            Err((err, loc)) => {
                return Some(LexerResult {
                    kind: LexerResultKind::Error(err),
                    meta: loc.into(),
                });
            }
        };

        let meta = pp_token.location.into();
        let value = match pp_token.value {
            PPTokenValue::Extension(extension) => {
                return Some(LexerResult {
                    kind: LexerResultKind::Directive(Directive {
                        kind: DirectiveKind::Extension,
                        tokens: extension.tokens,
                    }),
                    meta,
                })
            }
            PPTokenValue::Float(float) => TokenValue::FloatConstant(float),
            PPTokenValue::Ident(ident) => {
                match ident.as_str() {
                    // Qualifiers
                    "layout" => TokenValue::Layout,
                    "in" => TokenValue::In,
                    "out" => TokenValue::Out,
                    "uniform" => TokenValue::Uniform,
                    "buffer" => TokenValue::Buffer,
                    "shared" => TokenValue::Shared,
                    "invariant" => TokenValue::Invariant,
                    "flat" => TokenValue::Interpolation(crate::Interpolation::Flat),
                    "noperspective" => TokenValue::Interpolation(crate::Interpolation::Linear),
                    "smooth" => TokenValue::Interpolation(crate::Interpolation::Perspective),
                    "centroid" => TokenValue::Sampling(crate::Sampling::Centroid),
                    "sample" => TokenValue::Sampling(crate::Sampling::Sample),
                    "const" => TokenValue::Const,
                    "inout" => TokenValue::InOut,
                    "precision" => TokenValue::Precision,
                    "highp" => TokenValue::PrecisionQualifier(Precision::High),
                    "mediump" => TokenValue::PrecisionQualifier(Precision::Medium),
                    "lowp" => TokenValue::PrecisionQualifier(Precision::Low),
                    "restrict" => TokenValue::Restrict,
                    "readonly" => TokenValue::MemoryQualifier(StorageAccess::LOAD),
                    "writeonly" => TokenValue::MemoryQualifier(StorageAccess::STORE),
                    // values
                    "true" => TokenValue::BoolConstant(true),
                    "false" => TokenValue::BoolConstant(false),
                    // jump statements
                    "continue" => TokenValue::Continue,
                    "break" => TokenValue::Break,
                    "return" => TokenValue::Return,
                    "discard" => TokenValue::Discard,
                    // selection statements
                    "if" => TokenValue::If,
                    "else" => TokenValue::Else,
                    "switch" => TokenValue::Switch,
                    "case" => TokenValue::Case,
                    "default" => TokenValue::Default,
                    // iteration statements
                    "while" => TokenValue::While,
                    "do" => TokenValue::Do,
                    "for" => TokenValue::For,
                    // types
                    "void" => TokenValue::Void,
                    "struct" => TokenValue::Struct,
                    word => match parse_type(word) {
                        Some(t) => TokenValue::TypeName(t),
                        None => TokenValue::Identifier(String::from(word)),
                    },
                }
            }
            PPTokenValue::Integer(integer) => TokenValue::IntConstant(integer),
            PPTokenValue::Punct(punct) => match punct {
                // Compound assignments
                Punct::AddAssign => TokenValue::AddAssign,
                Punct::SubAssign => TokenValue::SubAssign,
                Punct::MulAssign => TokenValue::MulAssign,
                Punct::DivAssign => TokenValue::DivAssign,
                Punct::ModAssign => TokenValue::ModAssign,
                Punct::LeftShiftAssign => TokenValue::LeftShiftAssign,
                Punct::RightShiftAssign => TokenValue::RightShiftAssign,
                Punct::AndAssign => TokenValue::AndAssign,
                Punct::XorAssign => TokenValue::XorAssign,
                Punct::OrAssign => TokenValue::OrAssign,

                // Two character punctuation
                Punct::Increment => TokenValue::Increment,
                Punct::Decrement => TokenValue::Decrement,
                Punct::LogicalAnd => TokenValue::LogicalAnd,
                Punct::LogicalOr => TokenValue::LogicalOr,
                Punct::LogicalXor => TokenValue::LogicalXor,
                Punct::LessEqual => TokenValue::LessEqual,
                Punct::GreaterEqual => TokenValue::GreaterEqual,
                Punct::EqualEqual => TokenValue::Equal,
                Punct::NotEqual => TokenValue::NotEqual,
                Punct::LeftShift => TokenValue::LeftShift,
                Punct::RightShift => TokenValue::RightShift,

                // Parenthesis or similar
                Punct::LeftBrace => TokenValue::LeftBrace,
                Punct::RightBrace => TokenValue::RightBrace,
                Punct::LeftParen => TokenValue::LeftParen,
                Punct::RightParen => TokenValue::RightParen,
                Punct::LeftBracket => TokenValue::LeftBracket,
                Punct::RightBracket => TokenValue::RightBracket,

                // Other one character punctuation
                Punct::LeftAngle => TokenValue::LeftAngle,
                Punct::RightAngle => TokenValue::RightAngle,
                Punct::Semicolon => TokenValue::Semicolon,
                Punct::Comma => TokenValue::Comma,
                Punct::Colon => TokenValue::Colon,
                Punct::Dot => TokenValue::Dot,
                Punct::Equal => TokenValue::Assign,
                Punct::Bang => TokenValue::Bang,
                Punct::Minus => TokenValue::Dash,
                Punct::Tilde => TokenValue::Tilde,
                Punct::Plus => TokenValue::Plus,
                Punct::Star => TokenValue::Star,
                Punct::Slash => TokenValue::Slash,
                Punct::Percent => TokenValue::Percent,
                Punct::Pipe => TokenValue::VerticalBar,
                Punct::Caret => TokenValue::Caret,
                Punct::Ampersand => TokenValue::Ampersand,
                Punct::Question => TokenValue::Question,
            },
            PPTokenValue::Pragma(pragma) => {
                return Some(LexerResult {
                    kind: LexerResultKind::Directive(Directive {
                        kind: DirectiveKind::Pragma,
                        tokens: pragma.tokens,
                    }),
                    meta,
                })
            }
            PPTokenValue::Version(version) => {
                return Some(LexerResult {
                    kind: LexerResultKind::Directive(Directive {
                        kind: DirectiveKind::Version {
                            is_first_directive: version.is_first_directive,
                        },
                        tokens: version.tokens,
                    }),
                    meta,
                })
            }
        };

        Some(LexerResult {
            kind: LexerResultKind::Token(Token { value, meta }),
            meta,
        })
    }
}

#[cfg(test)]
mod tests {
    use pp_rs::token::{Integer, Location, Token as PPToken, TokenValue as PPTokenValue};

    use super::{
        super::token::{Directive, DirectiveKind, Token, TokenValue},
        Lexer, LexerResult, LexerResultKind,
    };
    use crate::Span;

    #[test]
    fn lex_tokens() {
        let defines = crate::FastHashMap::default();

        // line comments
        let mut lex = Lexer::new("#version 450\nvoid main () {}", &defines);
        let mut location = Location::default();
        location.start = 9;
        location.end = 12;
        assert_eq!(
            lex.next().unwrap(),
            LexerResult {
                kind: LexerResultKind::Directive(Directive {
                    kind: DirectiveKind::Version {
                        is_first_directive: true
                    },
                    tokens: vec![PPToken {
                        value: PPTokenValue::Integer(Integer {
                            signed: true,
                            value: 450,
                            width: 32
                        }),
                        location
                    }]
                }),
                meta: Span::new(1, 8)
            }
        );
        assert_eq!(
            lex.next().unwrap(),
            LexerResult {
                kind: LexerResultKind::Token(Token {
                    value: TokenValue::Void,
                    meta: Span::new(13, 17)
                }),
                meta: Span::new(13, 17)
            }
        );
        assert_eq!(
            lex.next().unwrap(),
            LexerResult {
                kind: LexerResultKind::Token(Token {
                    value: TokenValue::Identifier("main".into()),
                    meta: Span::new(18, 22)
                }),
                meta: Span::new(18, 22)
            }
        );
        assert_eq!(
            lex.next().unwrap(),
            LexerResult {
                kind: LexerResultKind::Token(Token {
                    value: TokenValue::LeftParen,
                    meta: Span::new(23, 24)
                }),
                meta: Span::new(23, 24)
            }
        );
        assert_eq!(
            lex.next().unwrap(),
            LexerResult {
                kind: LexerResultKind::Token(Token {
                    value: TokenValue::RightParen,
                    meta: Span::new(24, 25)
                }),
                meta: Span::new(24, 25)
            }
        );
        assert_eq!(
            lex.next().unwrap(),
            LexerResult {
                kind: LexerResultKind::Token(Token {
                    value: TokenValue::LeftBrace,
                    meta: Span::new(26, 27)
                }),
                meta: Span::new(26, 27)
            }
        );
        assert_eq!(
            lex.next().unwrap(),
            LexerResult {
                kind: LexerResultKind::Token(Token {
                    value: TokenValue::RightBrace,
                    meta: Span::new(27, 28)
                }),
                meta: Span::new(27, 28)
            }
        );
        assert_eq!(lex.next(), None);
    }
}


================================================
FILE: lib/naga/src/front/glsl/mod.rs
================================================
/*!
Frontend for [GLSL][glsl] (OpenGL Shading Language).

To begin, take a look at the documentation for the [`Parser`](Parser).

# Supported versions
## Vulkan
- 440 (partial)
- 450
- 460

[glsl]: https://www.khronos.org/registry/OpenGL/index_gl.php
*/

pub use ast::{Precision, Profile};
pub use error::{Error, ErrorKind, ExpectedToken};
pub use token::TokenValue;

use crate::{proc::Layouter, FastHashMap, FastHashSet, Handle, Module, ShaderStage, Span, Type};
use ast::{EntryArg, FunctionDeclaration, GlobalLookup};
use parser::ParsingContext;

mod ast;
mod builtins;
mod constants;
mod context;
mod error;
mod functions;
mod lex;
mod offset;
mod parser;
#[cfg(test)]
mod parser_tests;
mod token;
mod types;
mod variables;

type Result<T> = std::result::Result<T, Error>;

/// Per-shader options passed to [`parse`](Parser::parse).
///
/// The [`From`](From) trait is implemented for [`ShaderStage`](ShaderStage) to
/// provide a quick way to create a Options instance.
/// ```rust
/// # use naga::ShaderStage;
/// # use naga::front::glsl::Options;
/// Options::from(ShaderStage::Vertex);
/// ```
#[derive(Debug)]
pub struct Options {
    /// The shader stage in the pipeline.
    pub stage: ShaderStage,
    /// Preprocesor definitions to be used, akin to having
    /// ```glsl
    /// #define key value
    /// ```
    /// for each key value pair in the map.
    pub defines: FastHashMap<String, String>,
}

impl From<ShaderStage> for Options {
    fn from(stage: ShaderStage) -> Self {
        Options {
            stage,
            defines: FastHashMap::default(),
        }
    }
}

/// Additional information about the GLSL shader.
///
/// Stores additional information about the GLSL shader which might not be
/// stored in the shader [`Module`](Module).
#[derive(Debug)]
pub struct ShaderMetadata {
    /// The GLSL version specified in the shader trough the use of the
    /// `#version` preprocessor directive.
    pub version: u16,
    /// The GLSL profile specified in the shader trough the use of the
    /// `#version` preprocessor directive.
    pub profile: Profile,
    /// The shader stage in the pipeline, passed to the [`parse`](Parser::parse)
    /// method via the [`Options`](Options) struct.
    pub stage: ShaderStage,

    /// The workgroup size for compute shaders, defaults to `[1; 3]` for
    /// compute shaders and `[0; 3]` for non compute shaders.
    pub workgroup_size: [u32; 3],
    /// Whether or not early fragment tests where requested by the shader.
    /// Defaults to `false`.
    pub early_fragment_tests: bool,

    /// The shader can request extensions via the
    /// `#extension` preprocessor directive, in the directive a behavior
    /// parameter is used to control whether the extension should be disabled,
    /// warn on usage, enabled if possible or required.
    ///
    /// This field only stores extensions which were required or requested to
    /// be enabled if possible and they are supported.
    pub extensions: FastHashSet<String>,
}

impl ShaderMetadata {
    fn reset(&mut self, stage: ShaderStage) {
        self.version = 0;
        self.profile = Profile::Core;
        self.stage = stage;
        self.workgroup_size = [if stage == ShaderStage::Compute { 1 } else { 0 }; 3];
        self.early_fragment_tests = false;
        self.extensions.clear();
    }
}

impl Default for ShaderMetadata {
    fn default() -> Self {
        ShaderMetadata {
            version: 0,
            profile: Profile::Core,
            stage: ShaderStage::Vertex,
            workgroup_size: [0; 3],
            early_fragment_tests: false,
            extensions: FastHashSet::default(),
        }
    }
}

/// The `Parser` is the central structure of the GLSL frontend.
///
/// To instantiate a new `Parser` the [`Default`](Default) trait is used, so a
/// call to the associated function [`Parser::default`](Parser::default) will
/// return a new `Parser` instance.
///
/// To parse a shader simply call the [`parse`](Parser::parse) method with a
/// [`Options`](Options) struct and a [`&str`](str) holding the glsl code.
///
/// The `Parser` also provides the [`metadata`](Parser::metadata) to get some
/// further information about the previously parsed shader, like version and
/// extensions used (see the documentation for
/// [`ShaderMetadata`](ShaderMetadata) to see all the returned information)
///
/// # Example usage
/// ```rust
/// use naga::ShaderStage;
/// use naga::front::glsl::{Parser, Options};
///
/// let glsl = r#"
///     #version 450 core
///
///     void main() {}
/// "#;
///
/// let mut parser = Parser::default();
/// let options = Options::from(ShaderStage::Vertex);
/// parser.parse(&options, glsl);
/// ```
///
/// # Reusability
///
/// If there's a need to parse more than one shader reusing the same `Parser`
/// instance may be beneficial since internal allocations will be reused.
///
/// Calling the [`parse`](Parser::parse) method multiple times will reset the
/// `Parser` so no extra care is needed when reusing.
#[derive(Debug, Default)]
pub struct Parser {
    meta: ShaderMetadata,

    lookup_function: FastHashMap<String, FunctionDeclaration>,
    lookup_type: FastHashMap<String, Handle<Type>>,

    global_variables: Vec<(String, GlobalLookup)>,

    entry_args: Vec<EntryArg>,

    layouter: Layouter,

    errors: Vec<Error>,

    module: Module,
}

impl Parser {
    fn reset(&mut self, stage: ShaderStage) {
        self.meta.reset(stage);

        self.lookup_function.clear();
        self.lookup_type.clear();
        self.global_variables.clear();
        self.entry_args.clear();
        self.layouter.clear();

        // This is necessary because if the last parsing errored out, the module
        // wouldn't have been taken
        self.module = Module::default();
    }

    /// Parses a shader either outputting a shader [`Module`](Module) or a list
    /// of [`Error`](Error)s.
    ///
    /// Multiple calls using the same `Parser` and different shaders are supported.
    pub fn parse(
        &mut self,
        options: &Options,
        source: &str,
    ) -> std::result::Result<Module, Vec<Error>> {
        self.reset(options.stage);

        let lexer = lex::Lexer::new(source, &options.defines);
        let mut ctx = ParsingContext::new(lexer);

        if let Err(e) = ctx.parse(self) {
            self.errors.push(e);
        }

        if self.errors.is_empty() {
            Ok(std::mem::take(&mut self.module))
        } else {
            Err(std::mem::take(&mut self.errors))
        }
    }

    /// Returns additional information about the parsed shader which might not be
    /// stored in the [`Module`](Module), see the documentation for
    /// [`ShaderMetadata`](ShaderMetadata) for more information about the
    /// returned data.
    ///
    /// # Notes
    ///
    /// Following an unsuccessful parsing the state of the returned information
    /// is undefined, it might contain only partial information about the
    /// current shader, the previous shader or both.
    pub const fn metadata(&self) -> &ShaderMetadata {
        &self.meta
    }
}


================================================
FILE: lib/naga/src/front/glsl/offset.rs
================================================
/*!
Module responsible for calculating the offset and span for types.

There exists two types of layouts std140 and std430 (there's technically
two more layouts, shared and packed. Shared is not supported by spirv. Packed is
implementation dependent and for now it's just implemented as an alias to
std140).

The OpenGl spec (the layout rules are defined by the OpenGl spec in section
7.6.2.2 as opposed to the GLSL spec) uses the term basic machine units which are
equivalent to bytes.
*/

use super::{
    ast::StructLayout,
    error::{Error, ErrorKind},
    Span,
};
use crate::{proc::Alignment, Arena, Constant, Handle, Type, TypeInner, UniqueArena};

/// Struct with information needed for defining a struct member.
///
/// Returned by [`calculate_offset`](calculate_offset)
#[derive(Debug)]
pub struct TypeAlignSpan {
    /// The handle to the type, this might be the same handle passed to
    /// [`calculate_offset`](calculate_offset) or a new such a new array type
    /// with a different stride set.
    pub ty: Handle<Type>,
    /// The alignment required by the type.
    pub align: Alignment,
    /// The size of the type.
    pub span: u32,
}

/// Returns the type, alignment and span of a struct member according to a [`StructLayout`](StructLayout).
///
/// The functions returns a [`TypeAlignSpan`](TypeAlignSpan) which has a `ty` member
/// this should be used as the struct member type because for example arrays may have to
/// change the stride and as such need to have a different type.
pub fn calculate_offset(
    mut ty: Handle<Type>,
    meta: Span,
    layout: StructLayout,
    types: &mut UniqueArena<Type>,
    constants: &Arena<Constant>,
    errors: &mut Vec<Error>,
) -> TypeAlignSpan {
    // When using the std430 storage layout, shader storage blocks will be laid out in buffer storage
    // identically to uniform and shader storage blocks using the std140 layout, except
    // that the base alignment and stride of arrays of scalars and vectors in rule 4 and of
    // structures in rule 9 are not rounded up a multiple of the base alignment of a vec4.

    let (align, span) = match types[ty].inner {
        // 1. If the member is a scalar consuming N basic machine units,
        // the base alignment is N.
        TypeInner::Scalar { width, .. } => (Alignment::from_width(width), width as u32),
        // 2. If the member is a two- or four-component vector with components
        // consuming N basic machine units, the base alignment is 2N or 4N, respectively.
        // 3. If the member is a three-component vector with components consuming N
        // basic machine units, the base alignment is 4N.
        TypeInner::Vector { size, width, .. } => (
            Alignment::from(size) * Alignment::from_width(width),
            size as u32 * width as u32,
        ),
        // 4. If the member is an array of scalars or vectors, the base alignment and array
        // stride are set to match the base alignment of a single array element, according
        // to rules (1), (2), and (3), and rounded up to the base alignment of a vec4.
        // TODO: Matrices array
        TypeInner::Array { base, size, .. } => {
            let info = calculate_offset(base, meta, layout, types, constants, errors);

            let name = types[ty].name.clone();

            // See comment at the beginning of the function
            let (align, stride) = if StructLayout::Std430 == layout {
                (info.align, info.align.round_up(info.span))
            } else {
                let align = info.align.max(Alignment::MIN_UNIFORM);
                (align, align.round_up(info.span))
            };

            let span = match size {
                crate::ArraySize::Constant(s) => {
                    constants[s].to_array_length().unwrap_or(1) * stride
                }
                crate::ArraySize::Dynamic => stride,
            };

            let ty_span = types.get_span(ty);
            ty = types.insert(
                Type {
                    name,
                    inner: TypeInner::Array {
                        base: info.ty,
                        size,
                        stride,
                    },
                },
                ty_span,
            );

            (align, span)
        }
        // 5. If the member is a column-major matrix with C columns and R rows, the
        // matrix is stored identically to an array of C column vectors with R
        // components each, according to rule (4)
        // TODO: Row major matrices
        TypeInner::Matrix {
            columns,
            rows,
            width,
        } => {
            let mut align = Alignment::from(rows) * Alignment::from_width(width);

            // See comment at the beginning of the function
            if StructLayout::Std430 != layout {
                align = align.max(Alignment::MIN_UNIFORM);
            }

            // See comment on the error kind
            if StructLayout::Std140 == layout && rows == crate::VectorSize::Bi {
                errors.push(Error {
                    kind: ErrorKind::UnsupportedMatrixTypeInStd140,
                    meta,
                });
            }

            (align, align * columns as u32)
        }
        TypeInner::Struct { ref members, .. } => {
            let mut span = 0;
            let mut align = Alignment::ONE;
            let mut members = members.clone();
            let name = types[ty].name.clone();

            for member in members.iter_mut() {
                let info = calculate_offset(member.ty, meta, layout, types, constants, errors);

                let member_alignment = info.align;
                span = member_alignment.round_up(span);
                align = member_alignment.max(align);

                member.ty = info.ty;
                member.offset = span;

                span += info.span;
            }

            span = align.round_up(span);

            let ty_span = types.get_span(ty);
            ty = types.insert(
                Type {
                    name,
                    inner: TypeInner::Struct { members, span },
                },
                ty_span,
            );

            (align, span)
        }
        _ => {
            errors.push(Error {
                kind: ErrorKind::SemanticError("Invalid struct member type".into()),
                meta,
            });
            (Alignment::ONE, 0)
        }
    };

    TypeAlignSpan { ty, align, span }
}


================================================
FILE: lib/naga/src/front/glsl/parser/declarations.rs
================================================
use crate::{
    front::glsl::{
        ast::{
            GlobalLookup, GlobalLookupKind, Precision, QualifierKey, QualifierValue,
            StorageQualifier, StructLayout, TypeQualifiers,
        },
        context::{Context, ExprPos},
        error::ExpectedToken,
        offset,
        token::{Token, TokenValue},
        types::scalar_components,
        variables::{GlobalOrConstant, VarDeclaration},
        Error, ErrorKind, Parser, Span,
    },
    proc::Alignment,
    AddressSpace, Block, Expression, FunctionResult, Handle, ScalarKind, Statement, StructMember,
    Type, TypeInner,
};

use super::{DeclarationContext, ParsingContext, Result};

/// Helper method used to retrieve the child type of `ty` at
/// index `i`.
///
/// # Note
///
/// Does not check if the index is valid and returns the same type
/// when indexing out-of-bounds a struct or indexing a non indexable
/// type.
fn element_or_member_type(
    ty: Handle<Type>,
    i: usize,
    types: &mut crate::UniqueArena<Type>,
) -> Handle<Type> {
    match types[ty].inner {
        // The child type of a vector is a scalar of the same kind and width
        TypeInner::Vector { kind, width, .. } => types.insert(
            Type {
                name: None,
                inner: TypeInner::Scalar { kind, width },
            },
            Default::default(),
        ),
        // The child type of a matrix is a vector of floats with the same
        // width and the size of the matrix rows.
        TypeInner::Matrix { rows, width, .. } => types.insert(
            Type {
                name: None,
                inner: TypeInner::Vector {
                    size: rows,
                    kind: ScalarKind::Float,
                    width,
                },
            },
            Default::default(),
        ),
        // The child type of an array is the base type of the array
        TypeInner::Array { base, .. } => base,
        // The child type of a struct at index `i` is the type of it's
        // member at that same index.
        //
        // In case the index is out of bounds the same type is returned
        TypeInner::Struct { ref members, .. } => {
            members.get(i).map(|member| member.ty).unwrap_or(ty)
        }
        // The type isn't indexable, the same type is returned
        _ => ty,
    }
}

impl<'source> ParsingContext<'source> {
    pub fn parse_external_declaration(
        &mut self,
        parser: &mut Parser,
        global_ctx: &mut Context,
        global_body: &mut Block,
    ) -> Result<()> {
        if self
            .parse_declaration(parser, global_ctx, global_body, true)?
            .is_none()
        {
            let token = self.bump(parser)?;
            match token.value {
                TokenValue::Semicolon if parser.meta.version == 460 => Ok(()),
                _ => {
                    let expected = match parser.meta.version {
                        460 => vec![TokenValue::Semicolon.into(), ExpectedToken::Eof],
                        _ => vec![ExpectedToken::Eof],
                    };
                    Err(Error {
                        kind: ErrorKind::InvalidToken(token.value, expected),
                        meta: token.meta,
                    })
                }
            }
        } else {
            Ok(())
        }
    }

    pub fn parse_initializer(
        &mut self,
        parser: &mut Parser,
        ty: Handle<Type>,
        ctx: &mut Context,
        body: &mut Block,
    ) -> Result<(Handle<Expression>, Span)> {
        // initializer:
        //     assignment_expression
        //     LEFT_BRACE initializer_list RIGHT_BRACE
        //     LEFT_BRACE initializer_list COMMA RIGHT_BRACE
        //
        // initializer_list:
        //     initializer
        //     initializer_list COMMA initializer
        if let Some(Token { mut meta, .. }) = self.bump_if(parser, TokenValue::LeftBrace) {
            // initializer_list
            let mut components = Vec::new();
            loop {
                // The type expected to be parsed inside the initializer list
                let new_ty = element_or_member_type(ty, components.len(), &mut parser.module.types);

                components.push(self.parse_initializer(parser, new_ty, ctx, body)?.0);

                let token = self.bump(parser)?;
                match token.value {
                    TokenValue::Comma => {
                        if let Some(Token { meta: end_meta, .. }) =
                            self.bump_if(parser, TokenValue::RightBrace)
                        {
                            meta.subsume(end_meta);
                            break;
                        }
                    }
                    TokenValue::RightBrace => {
                        meta.subsume(token.meta);
                        break;
                    }
                    _ => {
                        return Err(Error {
                            kind: ErrorKind::InvalidToken(
                                token.value,
                                vec![TokenValue::Comma.into(), TokenValue::RightBrace.into()],
                            ),
                            meta: token.meta,
                        })
                    }
                }
            }

            Ok((
                ctx.add_expression(Expression::Compose { ty, components }, meta, body),
                meta,
            ))
        } else {
            let mut stmt = ctx.stmt_ctx();
            let expr = self.parse_assignment(parser, ctx, &mut stmt, body)?;
            let (mut init, init_meta) = ctx.lower_expect(stmt, parser, expr, ExprPos::Rhs, body)?;

            let scalar_components = scalar_components(&parser.module.types[ty].inner);
            if let Some((kind, width)) = scalar_components {
                ctx.implicit_conversion(parser, &mut init, init_meta, kind, width)?;
            }

            Ok((init, init_meta))
        }
    }

    // Note: caller preparsed the type and qualifiers
    // Note: caller skips this if the fallthrough token is not expected to be consumed here so this
    // produced Error::InvalidToken if it isn't consumed
    pub fn parse_init_declarator_list(
        &mut self,
        parser: &mut Parser,
        mut ty: Handle<Type>,
        ctx: &mut DeclarationContext,
    ) -> Result<()> {
        // init_declarator_list:
        //     single_declaration
        //     init_declarator_list COMMA IDENTIFIER
        //     init_declarator_list COMMA IDENTIFIER array_specifier
        //     init_declarator_list COMMA IDENTIFIER array_specifier EQUAL initializer
        //     init_declarator_list COMMA IDENTIFIER EQUAL initializer
        //
        // single_declaration:
        //     fully_specified_type
        //     fully_specified_type IDENTIFIER
        //     fully_specified_type IDENTIFIER array_specifier
        //     fully_specified_type IDENTIFIER array_specifier EQUAL initializer
        //     fully_specified_type IDENTIFIER EQUAL initializer

        // Consume any leading comma, e.g. this is valid: `float, a=1;`
        if self
            .peek(parser)
            .map_or(false, |t| t.value == TokenValue::Comma)
        {
            self.next(parser);
        }

        loop {
            let token = self.bump(parser)?;
            let name = match token.value {
                TokenValue::Semicolon => break,
                TokenValue::Identifier(name) => name,
                _ => {
                    return Err(Error {
                        kind: ErrorKind::InvalidToken(
                            token.value,
                            vec![ExpectedToken::Identifier, TokenValue::Semicolon.into()],
                        ),
                        meta: token.meta,
                    })
                }
            };
            let mut meta = token.meta;

            // array_specifier
            // array_specifier EQUAL initializer
            // EQUAL initializer

            // parse an array specifier if it exists
            // NOTE: unlike other parse methods this one doesn't expect an array specifier and
            // returns Ok(None) rather than an error if there is not one
            self.parse_array_specifier(parser, &mut meta, &mut ty)?;

            let init = self
                .bump_if(parser, TokenValue::Assign)
                .map::<Result<_>, _>(|_| {
                    let (mut expr, init_meta) =
                        self.parse_initializer(parser, ty, ctx.ctx, ctx.body)?;

                    let scalar_components = scalar_components(&parser.module.types[ty].inner);
                    if let Some((kind, width)) = scalar_components {
                        ctx.ctx
                            .implicit_conversion(parser, &mut expr, init_meta, kind, width)?;
                    }

                    meta.subsume(init_meta);

                    Ok((expr, init_meta))
                })
                .transpose()?;

            let is_const = ctx.qualifiers.storage.0 == StorageQualifier::Const;
            let maybe_constant = if ctx.external {
                if let Some((root, meta)) = init {
                    match parser.solve_constant(ctx.ctx, root, meta) {
                        Ok(res) => Some(res),
                        // If the declaration is external (global scope) and is constant qualified
                        // then the initializer must be a constant expression
                        Err(err) if is_const => return Err(err),
                        _ => None,
                    }
                } else {
                    None
                }
            } else {
                None
            };

            let pointer = ctx.add_var(parser, ty, name, maybe_constant, meta)?;

            if let Some((value, _)) = init.filter(|_| maybe_constant.is_none()) {
                ctx.flush_expressions();
                ctx.body.push(Statement::Store { pointer, value }, meta);
            }

            let token = self.bump(parser)?;
            match token.value {
                TokenValue::Semicolon => break,
                TokenValue::Comma => {}
                _ => {
                    return Err(Error {
                        kind: ErrorKind::InvalidToken(
                            token.value,
                            vec![TokenValue::Comma.into(), TokenValue::Semicolon.into()],
                        ),
                        meta: token.meta,
                    })
                }
            }
        }

        Ok(())
    }

    /// `external` whether or not we are in a global or local context
    pub fn parse_declaration(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        body: &mut Block,
        external: bool,
    ) -> Result<Option<Span>> {
        //declaration:
        //    function_prototype  SEMICOLON
        //
        //    init_declarator_list SEMICOLON
        //    PRECISION precision_qualifier type_specifier SEMICOLON
        //
        //    type_qualifier IDENTIFIER LEFT_BRACE struct_declaration_list RIGHT_BRACE SEMICOLON
        //    type_qualifier IDENTIFIER LEFT_BRACE struct_declaration_list RIGHT_BRACE IDENTIFIER SEMICOLON
        //    type_qualifier IDENTIFIER LEFT_BRACE struct_declaration_list RIGHT_BRACE IDENTIFIER array_specifier SEMICOLON
        //    type_qualifier SEMICOLON type_qualifier IDENTIFIER SEMICOLON
        //    type_qualifier IDENTIFIER identifier_list SEMICOLON

        if self.peek_type_qualifier(parser) || self.peek_type_name(parser) {
            let mut qualifiers = self.parse_type_qualifiers(parser)?;

            if self.peek_type_name(parser) {
                // This branch handles variables and function prototypes and if
                // external is true also function definitions
                let (ty, mut meta) = self.parse_type(parser)?;

                let token = self.bump(parser)?;
                let token_fallthrough = match token.value {
                    TokenValue::Identifier(name) => match self.expect_peek(parser)?.value {
                        TokenValue::LeftParen => {
                            // This branch handles function definition and prototypes
                            self.bump(parser)?;

                            let result = ty.map(|ty| FunctionResult { ty, binding: None });
                            let mut body = Block::new();

                            let mut context = Context::new(parser, &mut body);

                            self.parse_function_args(parser, &mut context, &mut body)?;

                            let end_meta = self.expect(parser, TokenValue::RightParen)?.meta;
                            meta.subsume(end_meta);

                            let token = self.bump(parser)?;
                            return match token.value {
                                TokenValue::Semicolon => {
                                    // This branch handles function prototypes
                                    parser.add_prototype(context, name, result, meta);

                                    Ok(Some(meta))
                                }
                                TokenValue::LeftBrace if external => {
                                    // This branch handles function definitions
                                    // as you can see by the guard this branch
                                    // only happens if external is also true

                                    // parse the body
                                    self.parse_compound_statement(
                                        token.meta,
                                        parser,
                                        &mut context,
                                        &mut body,
                                        &mut None,
                                    )?;

                                    parser.add_function(context, name, result, body, meta);

                                    Ok(Some(meta))
                                }
                                _ if external => Err(Error {
                                    kind: ErrorKind::InvalidToken(
                                        token.value,
                                        vec![
                                            TokenValue::LeftBrace.into(),
                                            TokenValue::Semicolon.into(),
                                        ],
                                    ),
                                    meta: token.meta,
                                }),
                                _ => Err(Error {
                                    kind: ErrorKind::InvalidToken(
                                        token.value,
                                        vec![TokenValue::Semicolon.into()],
                                    ),
                                    meta: token.meta,
                                }),
                            };
                        }
                        // Pass the token to the init_declarator_list parser
                        _ => Token {
                            value: TokenValue::Identifier(name),
                            meta: token.meta,
                        },
                    },
                    // Pass the token to the init_declarator_list parser
                    _ => token,
                };

                // If program execution has reached here then this will be a
                // init_declarator_list
                // token_falltrough will have a token that was already bumped
                if let Some(ty) = ty {
                    let mut ctx = DeclarationContext {
                        qualifiers,
                        external,
                        ctx,
                        body,
                    };

                    self.backtrack(token_fallthrough)?;
                    self.parse_init_declarator_list(parser, ty, &mut ctx)?;
                } else {
                    parser.errors.push(Error {
                        kind: ErrorKind::SemanticError("Declaration cannot have void type".into()),
                        meta,
                    })
                }

                Ok(Some(meta))
            } else {
                // This branch handles struct definitions and modifiers like
                // ```glsl
                // layout(early_fragment_tests);
                // ```
                let token = self.bump(parser)?;
                match token.value {
                    TokenValue::Identifier(ty_name) => {
                        if self.bump_if(parser, TokenValue::LeftBrace).is_some() {
                            self.parse_block_declaration(
                                parser,
                                ctx,
                                body,
                                &mut qualifiers,
                                ty_name,
                                token.meta,
                            )
                            .map(Some)
                        } else {
                            if qualifiers.invariant.take().is_some() {
                                parser.make_variable_invariant(ctx, body, &ty_name, token.meta);

                                qualifiers.unused_errors(&mut parser.errors);
                                self.expect(parser, TokenValue::Semicolon)?;
                                return Ok(Some(qualifiers.span));
                            }

                            //TODO: declaration
                            // type_qualifier IDENTIFIER SEMICOLON
                            // type_qualifier IDENTIFIER identifier_list SEMICOLON
                            Err(Error {
                                kind: ErrorKind::NotImplemented("variable qualifier"),
                                meta: token.meta,
                            })
                        }
                    }
                    TokenValue::Semicolon => {
                        if let Some(value) =
                            qualifiers.uint_layout_qualifier("local_size_x", &mut parser.errors)
                        {
                            parser.meta.workgroup_size[0] = value;
                        }
                        if let Some(value) =
                            qualifiers.uint_layout_qualifier("local_size_y", &mut parser.errors)
                        {
                            parser.meta.workgroup_size[1] = value;
                        }
                        if let Some(value) =
                            qualifiers.uint_layout_qualifier("local_size_z", &mut parser.errors)
                        {
                            parser.meta.workgroup_size[2] = value;
                        }

                        parser.meta.early_fragment_tests |= qualifiers
                            .none_layout_qualifier("early_fragment_tests", &mut parser.errors);

                        qualifiers.unused_errors(&mut parser.errors);

                        Ok(Some(qualifiers.span))
                    }
                    _ => Err(Error {
                        kind: ErrorKind::InvalidToken(
                            token.value,
                            vec![ExpectedToken::Identifier, TokenValue::Semicolon.into()],
                        ),
                        meta: token.meta,
                    }),
                }
            }
        } else {
            match self.peek(parser).map(|t| &t.value) {
                Some(&TokenValue::Precision) => {
                    // PRECISION precision_qualifier type_specifier SEMICOLON
                    self.bump(parser)?;

                    let token = self.bump(parser)?;
                    let _ = match token.value {
                        TokenValue::PrecisionQualifier(p) => p,
                        _ => {
                            return Err(Error {
                                kind: ErrorKind::InvalidToken(
                                    token.value,
                                    vec![
                                        TokenValue::PrecisionQualifier(Precision::High).into(),
                                        TokenValue::PrecisionQualifier(Precision::Medium).into(),
                                        TokenValue::PrecisionQualifier(Precision::Low).into(),
                                    ],
                                ),
                                meta: token.meta,
                            })
                        }
                    };

                    let (ty, meta) = self.parse_type_non_void(parser)?;

                    match parser.module.types[ty].inner {
                        TypeInner::Scalar {
                            kind: ScalarKind::Float | ScalarKind::Sint,
                            ..
                        } => {}
                        _ => parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "Precision statement can only work on floats and ints".into(),
                            ),
                            meta,
                        }),
                    }

                    self.expect(parser, TokenValue::Semicolon)?;

                    Ok(Some(meta))
                }
                _ => Ok(None),
            }
        }
    }

    pub fn parse_block_declaration(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        body: &mut Block,
        qualifiers: &mut TypeQualifiers,
        ty_name: String,
        mut meta: Span,
    ) -> Result<Span> {
        let layout = match qualifiers.layout_qualifiers.remove(&QualifierKey::Layout) {
            Some((QualifierValue::Layout(l), _)) => l,
            None => {
                if let StorageQualifier::AddressSpace(AddressSpace::Storage { .. }) =
                    qualifiers.storage.0
                {
                    StructLayout::Std430
                } else {
                    StructLayout::Std140
                }
            }
            _ => unreachable!(),
        };

        let mut members = Vec::new();
        let span = self.parse_struct_declaration_list(parser, &mut members, layout)?;
        self.expect(parser, TokenValue::RightBrace)?;

        let mut ty = parser.module.types.insert(
            Type {
                name: Some(ty_name),
                inner: TypeInner::Struct {
                    members: members.clone(),
                    span,
                },
            },
            Default::default(),
        );

        let token = self.bump(parser)?;
        let name = match token.value {
            TokenValue::Semicolon => None,
            TokenValue::Identifier(name) => {
                self.parse_array_specifier(parser, &mut meta, &mut ty)?;

                self.expect(parser, TokenValue::Semicolon)?;

                Some(name)
            }
            _ => {
                return Err(Error {
                    kind: ErrorKind::InvalidToken(
                        token.value,
                        vec![ExpectedToken::Identifier, TokenValue::Semicolon.into()],
                    ),
                    meta: token.meta,
                })
            }
        };

        let global = parser.add_global_var(
            ctx,
            body,
            VarDeclaration {
                qualifiers,
                ty,
                name,
                init: None,
                meta,
            },
        )?;

        for (i, k, ty) in members.into_iter().enumerate().filter_map(|(i, m)| {
            let ty = m.ty;
            m.name.map(|s| (i as u32, s, ty))
        }) {
            let lookup = GlobalLookup {
                kind: match global {
                    GlobalOrConstant::Global(handle) => GlobalLookupKind::BlockSelect(handle, i),
                    GlobalOrConstant::Constant(handle) => GlobalLookupKind::Constant(handle, ty),
                },
                entry_arg: None,
                mutable: true,
            };
            ctx.add_global(parser, &k, lookup, body);

            parser.global_variables.push((k, lookup));
        }

        Ok(meta)
    }

    // TODO: Accept layout arguments
    pub fn parse_struct_declaration_list(
        &mut self,
        parser: &mut Parser,
        members: &mut Vec<StructMember>,
        layout: StructLayout,
    ) -> Result<u32> {
        let mut span = 0;
        let mut align = Alignment::ONE;

        loop {
            // TODO: type_qualifier

            let (mut ty, mut meta) = self.parse_type_non_void(parser)?;
            let (name, end_meta) = self.expect_ident(parser)?;

            meta.subsume(end_meta);

            self.parse_array_specifier(parser, &mut meta, &mut ty)?;

            self.expect(parser, TokenValue::Semicolon)?;

            let info = offset::calculate_offset(
                ty,
                meta,
                layout,
                &mut parser.module.types,
                &parser.module.constants,
                &mut parser.errors,
            );

            let member_alignment = info.align;
            span = member_alignment.round_up(span);
            align = member_alignment.max(align);

            members.push(StructMember {
                name: Some(name),
                ty: info.ty,
                binding: None,
                offset: span,
            });

            span += info.span;

            if let TokenValue::RightBrace = self.expect_peek(parser)?.value {
                break;
            }
        }

        span = align.round_up(span);

        Ok(span)
    }
}


================================================
FILE: lib/naga/src/front/glsl/parser/expressions.rs
================================================
use crate::{
    front::glsl::{
        ast::{FunctionCall, FunctionCallKind, HirExpr, HirExprKind},
        context::{Context, StmtContext},
        error::{ErrorKind, ExpectedToken},
        parser::ParsingContext,
        token::{Token, TokenValue},
        Error, Parser, Result, Span,
    },
    ArraySize, BinaryOperator, Block, Constant, ConstantInner, Handle, ScalarValue, Type,
    TypeInner, UnaryOperator,
};

impl<'source> ParsingContext<'source> {
    pub fn parse_primary(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        stmt: &mut StmtContext,
        body: &mut Block,
    ) -> Result<Handle<HirExpr>> {
        let mut token = self.bump(parser)?;

        let (width, value) = match token.value {
            TokenValue::IntConstant(int) => (
                (int.width / 8) as u8,
                if int.signed {
                    ScalarValue::Sint(int.value as i64)
                } else {
                    ScalarValue::Uint(int.value)
                },
            ),
            TokenValue::FloatConstant(float) => (
                (float.width / 8) as u8,
                ScalarValue::Float(float.value as f64),
            ),
            TokenValue::BoolConstant(value) => (1, ScalarValue::Bool(value)),
            TokenValue::LeftParen => {
                let expr = self.parse_expression(parser, ctx, stmt, body)?;
                let meta = self.expect(parser, TokenValue::RightParen)?.meta;

                token.meta.subsume(meta);

                return Ok(expr);
            }
            _ => {
                return Err(Error {
                    kind: ErrorKind::InvalidToken(
                        token.value,
                        vec![
                            TokenValue::LeftParen.into(),
                            ExpectedToken::IntLiteral,
                            ExpectedToken::FloatLiteral,
                            ExpectedToken::BoolLiteral,
                        ],
                    ),
                    meta: token.meta,
                });
            }
        };

        let handle = parser.module.constants.fetch_or_append(
            Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Scalar { width, value },
            },
            token.meta,
        );

        Ok(stmt.hir_exprs.append(
            HirExpr {
                kind: HirExprKind::Constant(handle),
                meta: token.meta,
            },
            Default::default(),
        ))
    }

    pub fn parse_function_call_args(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        stmt: &mut StmtContext,
        body: &mut Block,
        meta: &mut Span,
    ) -> Result<Vec<Handle<HirExpr>>> {
        let mut args = Vec::new();
        if let Some(token) = self.bump_if(parser, TokenValue::RightParen) {
            meta.subsume(token.meta);
        } else {
            loop {
                args.push(self.parse_assignment(parser, ctx, stmt, body)?);

                let token = self.bump(parser)?;
                match token.value {
                    TokenValue::Comma => {}
                    TokenValue::RightParen => {
                        meta.subsume(token.meta);
                        break;
                    }
                    _ => {
                        return Err(Error {
                            kind: ErrorKind::InvalidToken(
                                token.value,
                                vec![TokenValue::Comma.into(), TokenValue::RightParen.into()],
                            ),
                            meta: token.meta,
                        });
                    }
                }
            }
        }

        Ok(args)
    }

    pub fn parse_postfix(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        stmt: &mut StmtContext,
        body: &mut Block,
    ) -> Result<Handle<HirExpr>> {
        let mut base = if self.peek_type_name(parser) {
            let (mut handle, mut meta) = self.parse_type_non_void(parser)?;

            self.expect(parser, TokenValue::LeftParen)?;
            let args = self.parse_function_call_args(parser, ctx, stmt, body, &mut meta)?;

            if let TypeInner::Array {
                size: ArraySize::Dynamic,
                stride,
                base,
            } = parser.module.types[handle].inner
            {
                let span = parser.module.types.get_span(handle);

                let constant = parser.module.constants.fetch_or_append(
                    Constant {
                        name: None,
                        specialization: None,
                        inner: ConstantInner::Scalar {
                            width: 4,
                            value: ScalarValue::Uint(args.len() as u64),
                        },
                    },
                    Span::default(),
                );
                handle = parser.module.types.insert(
                    Type {
                        name: None,
                        inner: TypeInner::Array {
                            stride,
                            base,
                            size: ArraySize::Constant(constant),
                        },
                    },
                    span,
                )
            }

            stmt.hir_exprs.append(
                HirExpr {
                    kind: HirExprKind::Call(FunctionCall {
                        kind: FunctionCallKind::TypeConstructor(handle),
                        args,
                    }),
                    meta,
                },
                Default::default(),
            )
        } else if let TokenValue::Identifier(_) = self.expect_peek(parser)?.value {
            let (name, mut meta) = self.expect_ident(parser)?;

            let expr = if self.bump_if(parser, TokenValue::LeftParen).is_some() {
                let args = self.parse_function_call_args(parser, ctx, stmt, body, &mut meta)?;

                let kind = match parser.lookup_type.get(&name) {
                    Some(ty) => FunctionCallKind::TypeConstructor(*ty),
                    None => FunctionCallKind::Function(name),
                };

                HirExpr {
                    kind: HirExprKind::Call(FunctionCall { kind, args }),
                    meta,
                }
            } else {
                let var = match parser.lookup_variable(ctx, body, &name, meta) {
                    Some(var) => var,
                    None => {
                        return Err(Error {
                            kind: ErrorKind::UnknownVariable(name),
                            meta,
                        })
                    }
                };

                HirExpr {
                    kind: HirExprKind::Variable(var),
                    meta,
                }
            };

            stmt.hir_exprs.append(expr, Default::default())
        } else {
            self.parse_primary(parser, ctx, stmt, body)?
        };

        while let TokenValue::LeftBracket
        | TokenValue::Dot
        | TokenValue::Increment
        | TokenValue::Decrement = self.expect_peek(parser)?.value
        {
            let Token { value, mut meta } = self.bump(parser)?;

            match value {
                TokenValue::LeftBracket => {
                    let index = self.parse_expression(parser, ctx, stmt, body)?;
                    let end_meta = self.expect(parser, TokenValue::RightBracket)?.meta;

                    meta.subsume(end_meta);
                    base = stmt.hir_exprs.append(
                        HirExpr {
                            kind: HirExprKind::Access { base, index },
                            meta,
                        },
                        Default::default(),
                    )
                }
                TokenValue::Dot => {
                    let (field, end_meta) = self.expect_ident(parser)?;

                    if self.bump_if(parser, TokenValue::LeftParen).is_some() {
                        let args =
                            self.parse_function_call_args(parser, ctx, stmt, body, &mut meta)?;

                        base = stmt.hir_exprs.append(
                            HirExpr {
                                kind: HirExprKind::Method {
                                    expr: base,
                                    name: field,
                                    args,
                                },
                                meta,
                            },
                            Default::default(),
                        );
                        continue;
                    }

                    meta.subsume(end_meta);
                    base = stmt.hir_exprs.append(
                        HirExpr {
                            kind: HirExprKind::Select { base, field },
                            meta,
                        },
                        Default::default(),
                    )
                }
                TokenValue::Increment | TokenValue::Decrement => {
                    base = stmt.hir_exprs.append(
                        HirExpr {
                            kind: HirExprKind::PrePostfix {
                                op: match value {
                                    TokenValue::Increment => crate::BinaryOperator::Add,
                                    _ => crate::BinaryOperator::Subtract,
                                },
                                postfix: true,
                                expr: base,
                            },
                            meta,
                        },
                        Default::default(),
                    )
                }
                _ => unreachable!(),
            }
        }

        Ok(base)
    }

    pub fn parse_unary(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        stmt: &mut StmtContext,
        body: &mut Block,
    ) -> Result<Handle<HirExpr>> {
        Ok(match self.expect_peek(parser)?.value {
            TokenValue::Plus | TokenValue::Dash | TokenValue::Bang | TokenValue::Tilde => {
                let Token { value, mut meta } = self.bump(parser)?;

                let expr = self.parse_unary(parser, ctx, stmt, body)?;
                let end_meta = stmt.hir_exprs[expr].meta;

                let kind = match value {
                    TokenValue::Dash => HirExprKind::Unary {
                        op: UnaryOperator::Negate,
                        expr,
                    },
                    TokenValue::Bang | TokenValue::Tilde => HirExprKind::Unary {
                        op: UnaryOperator::Not,
                        expr,
                    },
                    _ => return Ok(expr),
                };

                meta.subsume(end_meta);
                stmt.hir_exprs
                    .append(HirExpr { kind, meta }, Default::default())
            }
            TokenValue::Increment | TokenValue::Decrement => {
                let Token { value, meta } = self.bump(parser)?;

                let expr = self.parse_unary(parser, ctx, stmt, body)?;

                stmt.hir_exprs.append(
                    HirExpr {
                        kind: HirExprKind::PrePostfix {
                            op: match value {
                                TokenValue::Increment => crate::BinaryOperator::Add,
                                _ => crate::BinaryOperator::Subtract,
                            },
                            postfix: false,
                            expr,
                        },
                        meta,
                    },
                    Default::default(),
                )
            }
            _ => self.parse_postfix(parser, ctx, stmt, body)?,
        })
    }

    pub fn parse_binary(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        stmt: &mut StmtContext,
        body: &mut Block,
        passtrough: Option<Handle<HirExpr>>,
        min_bp: u8,
    ) -> Result<Handle<HirExpr>> {
        let mut left = passtrough
            .ok_or(ErrorKind::EndOfFile /* Dummy error */)
            .or_else(|_| self.parse_unary(parser, ctx, stmt, body))?;
        let mut meta = stmt.hir_exprs[left].meta;

        while let Some((l_bp, r_bp)) = binding_power(&self.expect_peek(parser)?.value) {
            if l_bp < min_bp {
                break;
            }

            let Token { value, .. } = self.bump(parser)?;

            let right = self.parse_binary(parser, ctx, stmt, body, None, r_bp)?;
            let end_meta = stmt.hir_exprs[right].meta;

            meta.subsume(end_meta);
            left = stmt.hir_exprs.append(
                HirExpr {
                    kind: HirExprKind::Binary {
                        left,
                        op: match value {
                            TokenValue::LogicalOr => BinaryOperator::LogicalOr,
                            TokenValue::LogicalXor => BinaryOperator::NotEqual,
                            TokenValue::LogicalAnd => BinaryOperator::LogicalAnd,
                            TokenValue::VerticalBar => BinaryOperator::InclusiveOr,
                            TokenValue::Caret => BinaryOperator::ExclusiveOr,
                            TokenValue::Ampersand => BinaryOperator::And,
                            TokenValue::Equal => BinaryOperator::Equal,
                            TokenValue::NotEqual => BinaryOperator::NotEqual,
                            TokenValue::GreaterEqual => BinaryOperator::GreaterEqual,
                            TokenValue::LessEqual => BinaryOperator::LessEqual,
                            TokenValue::LeftAngle => BinaryOperator::Less,
                            TokenValue::RightAngle => BinaryOperator::Greater,
                            TokenValue::LeftShift => BinaryOperator::ShiftLeft,
                            TokenValue::RightShift => BinaryOperator::ShiftRight,
                            TokenValue::Plus => BinaryOperator::Add,
                            TokenValue::Dash => BinaryOperator::Subtract,
                            TokenValue::Star => BinaryOperator::Multiply,
                            TokenValue::Slash => BinaryOperator::Divide,
                            TokenValue::Percent => BinaryOperator::Modulo,
                            _ => unreachable!(),
                        },
                        right,
                    },
                    meta,
                },
                Default::default(),
            )
        }

        Ok(left)
    }

    pub fn parse_conditional(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        stmt: &mut StmtContext,
        body: &mut Block,
        passtrough: Option<Handle<HirExpr>>,
    ) -> Result<Handle<HirExpr>> {
        let mut condition = self.parse_binary(parser, ctx, stmt, body, passtrough, 0)?;
        let mut meta = stmt.hir_exprs[condition].meta;

        if self.bump_if(parser, TokenValue::Question).is_some() {
            let accept = self.parse_expression(parser, ctx, stmt, body)?;
            self.expect(parser, TokenValue::Colon)?;
            let reject = self.parse_assignment(parser, ctx, stmt, body)?;
            let end_meta = stmt.hir_exprs[reject].meta;

            meta.subsume(end_meta);
            condition = stmt.hir_exprs.append(
                HirExpr {
                    kind: HirExprKind::Conditional {
                        condition,
                        accept,
                        reject,
                    },
                    meta,
                },
                Default::default(),
            )
        }

        Ok(condition)
    }

    pub fn parse_assignment(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        stmt: &mut StmtContext,
        body: &mut Block,
    ) -> Result<Handle<HirExpr>> {
        let tgt = self.parse_unary(parser, ctx, stmt, body)?;
        let mut meta = stmt.hir_exprs[tgt].meta;

        Ok(match self.expect_peek(parser)?.value {
            TokenValue::Assign => {
                self.bump(parser)?;
                let value = self.parse_assignment(parser, ctx, stmt, body)?;
                let end_meta = stmt.hir_exprs[value].meta;

                meta.subsume(end_meta);
                stmt.hir_exprs.append(
                    HirExpr {
                        kind: HirExprKind::Assign { tgt, value },
                        meta,
                    },
                    Default::default(),
                )
            }
            TokenValue::OrAssign
            | TokenValue::AndAssign
            | TokenValue::AddAssign
            | TokenValue::DivAssign
            | TokenValue::ModAssign
            | TokenValue::SubAssign
            | TokenValue::MulAssign
            | TokenValue::LeftShiftAssign
            | TokenValue::RightShiftAssign
            | TokenValue::XorAssign => {
                let token = self.bump(parser)?;
                let right = self.parse_assignment(parser, ctx, stmt, body)?;
                let end_meta = stmt.hir_exprs[right].meta;

                meta.subsume(end_meta);
                let value = stmt.hir_exprs.append(
                    HirExpr {
                        meta,
                        kind: HirExprKind::Binary {
                            left: tgt,
                            op: match token.value {
                                TokenValue::OrAssign => BinaryOperator::InclusiveOr,
                                TokenValue::AndAssign => BinaryOperator::And,
                                TokenValue::AddAssign => BinaryOperator::Add,
                                TokenValue::DivAssign => BinaryOperator::Divide,
                                TokenValue::ModAssign => BinaryOperator::Modulo,
                                TokenValue::SubAssign => BinaryOperator::Subtract,
                                TokenValue::MulAssign => BinaryOperator::Multiply,
                                TokenValue::LeftShiftAssign => BinaryOperator::ShiftLeft,
                                TokenValue::RightShiftAssign => BinaryOperator::ShiftRight,
                                TokenValue::XorAssign => BinaryOperator::ExclusiveOr,
                                _ => unreachable!(),
                            },
                            right,
                        },
                    },
                    Default::default(),
                );

                stmt.hir_exprs.append(
                    HirExpr {
                        kind: HirExprKind::Assign { tgt, value },
                        meta,
                    },
                    Default::default(),
                )
            }
            _ => self.parse_conditional(parser, ctx, stmt, body, Some(tgt))?,
        })
    }

    pub fn parse_expression(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        stmt: &mut StmtContext,
        body: &mut Block,
    ) -> Result<Handle<HirExpr>> {
        let mut expr = self.parse_assignment(parser, ctx, stmt, body)?;

        while let TokenValue::Comma = self.expect_peek(parser)?.value {
            self.bump(parser)?;
            expr = self.parse_assignment(parser, ctx, stmt, body)?;
        }

        Ok(expr)
    }
}

const fn binding_power(value: &TokenValue) -> Option<(u8, u8)> {
    Some(match *value {
        TokenValue::LogicalOr => (1, 2),
        TokenValue::LogicalXor => (3, 4),
        TokenValue::LogicalAnd => (5, 6),
        TokenValue::VerticalBar => (7, 8),
        TokenValue::Caret => (9, 10),
        TokenValue::Ampersand => (11, 12),
        TokenValue::Equal | TokenValue::NotEqual => (13, 14),
        TokenValue::GreaterEqual
        | TokenValue::LessEqual
        | TokenValue::LeftAngle
        | TokenValue::RightAngle => (15, 16),
        TokenValue::LeftShift | TokenValue::RightShift => (17, 18),
        TokenValue::Plus | TokenValue::Dash => (19, 20),
        TokenValue::Star | TokenValue::Slash | TokenValue::Percent => (21, 22),
        _ => return None,
    })
}


================================================
FILE: lib/naga/src/front/glsl/parser/functions.rs
================================================
use crate::front::glsl::context::ExprPos;
use crate::front::glsl::Span;
use crate::{
    front::glsl::{
        ast::ParameterQualifier,
        context::Context,
        parser::ParsingContext,
        token::{Token, TokenValue},
        variables::VarDeclaration,
        Error, ErrorKind, Parser, Result,
    },
    Block, ConstantInner, Expression, ScalarValue, Statement, SwitchCase, UnaryOperator,
};

impl<'source> ParsingContext<'source> {
    pub fn peek_parameter_qualifier(&mut self, parser: &mut Parser) -> bool {
        self.peek(parser).map_or(false, |t| match t.value {
            TokenValue::In | TokenValue::Out | TokenValue::InOut | TokenValue::Const => true,
            _ => false,
        })
    }

    /// Returns the parsed `ParameterQualifier` or `ParameterQualifier::In`
    pub fn parse_parameter_qualifier(&mut self, parser: &mut Parser) -> ParameterQualifier {
        if self.peek_parameter_qualifier(parser) {
            match self.bump(parser).unwrap().value {
                TokenValue::In => ParameterQualifier::In,
                TokenValue::Out => ParameterQualifier::Out,
                TokenValue::InOut => ParameterQualifier::InOut,
                TokenValue::Const => ParameterQualifier::Const,
                _ => unreachable!(),
            }
        } else {
            ParameterQualifier::In
        }
    }

    pub fn parse_statement(
        &mut self,
        parser: &mut Parser,
        ctx: &mut Context,
        body: &mut Block,
        terminator: &mut Option<usize>,
    ) -> Result<Option<Span>> {
        // Type qualifiers always identify a declaration statement
        if self.peek_type_qualifier(parser) {
            return self.parse_declaration(parser, ctx, body, false);
        }

        // Type names can identify either declaration statements or type constructors
        // depending on wether the token following the type name is a `(` (LeftParen)
        if self.peek_type_name(parser) {
            // Start by consuming the type name so that we can peek the token after it
            let token = self.bump(parser)?;
            // Peek the next token and check if it's a `(` (LeftParen) if so the statement
            // is a constructor, otherwise it's a declaration. We need to do the check
            // beforehand and not in the if since we will backtrack before the if
            let declaration = TokenValue::LeftParen != self.expect_peek(parser)?.value;

            self.backtrack(token)?;

            if declaration {
                return self.parse_declaration(parser, ctx, body, false);
            }
        }

        let new_break = || {
            let mut block = Block::new();
            block.push(Statement::Break, crate::Span::default());
            block
        };

        let &Token {
            ref value,
            mut meta,
        } = self.expect_peek(parser)?;

        let meta_rest = match *value {
            TokenValue::Continue => {
                let meta = self.bump(parser)?.meta;
                body.push(Statement::Continue, meta);
                terminator.get_or_insert(body.len());
                self.expect(parser, TokenValue::Semicolon)?.meta
            }
            TokenValue::Break => {
                let meta = self.bump(parser)?.meta;
                body.push(Statement::Break, meta);
                terminator.get_or_insert(body.len());
                self.expect(parser, TokenValue::Semicolon)?.meta
            }
            TokenValue::Return => {
                self.bump(parser)?;
                let (value, meta) = match self.expect_peek(parser)?.value {
                    TokenValue::Semicolon => (None, self.bump(parser)?.meta),
                    _ => {
                        // TODO: Implicit conversions
                        let mut stmt = ctx.stmt_ctx();
                        let expr = self.parse_expression(parser, ctx, &mut stmt, body)?;
                        self.expect(parser, TokenValue::Semicolon)?;
                        let (handle, meta) =
                            ctx.lower_expect(stmt, parser, expr, ExprPos::Rhs, body)?;
                        (Some(handle), meta)
                    }
                };

                ctx.emit_restart(body);

                body.push(Statement::Return { value }, meta);
                terminator.get_or_insert(body.len());

                meta
            }
            TokenValue::Discard => {
                let meta = self.bump(parser)?.meta;
                body.push(Statement::Kill, meta);
                terminator.get_or_insert(body.len());

                self.expect(parser, TokenValue::Semicolon)?.meta
            }
            TokenValue::If => {
                let mut meta = self.bump(parser)?.meta;

                self.expect(parser, TokenValue::LeftParen)?;
                let condition = {
                    let mut stmt = ctx.stmt_ctx();
                    let expr = self.parse_expression(parser, ctx, &mut stmt, body)?;
                    let (handle, more_meta) =
                        ctx.lower_expect(stmt, parser, expr, ExprPos::Rhs, body)?;
                    meta.subsume(more_meta);
                    handle
                };
                self.expect(parser, TokenValue::RightParen)?;

                ctx.emit_restart(body);

                let mut accept = Block::new();
                if let Some(more_meta) =
                    self.parse_statement(parser, ctx, &mut accept, &mut None)?
                {
                    meta.subsume(more_meta)
                }

                let mut reject = Block::new();
                if self.bump_if(parser, TokenValue::Else).is_some() {
                    if let Some(more_meta) =
                        self.parse_statement(parser, ctx, &mut reject, &mut None)?
                    {
                        meta.subsume(more_meta);
                    }
                }

                body.push(
                    Statement::If {
                        condition,
                        accept,
                        reject,
                    },
                    meta,
                );

                meta
            }
            TokenValue::Switch => {
                let mut meta = self.bump(parser)?.meta;
                let end_meta;

                self.expect(parser, TokenValue::LeftParen)?;

                let selector = {
                    let mut stmt = ctx.stmt_ctx();
                    let expr = self.parse_expression(parser, ctx, &mut stmt, body)?;
                    ctx.lower_expect(stmt, parser, expr, ExprPos::Rhs, body)?.0
                };

                self.expect(parser, TokenValue::RightParen)?;

                ctx.emit_restart(body);

                let mut cases = Vec::new();
                // Track if any default case is present in the switch statement.
                let mut default_present = false;

                self.expect(parser, TokenValue::LeftBrace)?;
                loop {
                    let value = match self.expect_peek(parser)?.value {
                        TokenValue::Case => {
                            self.bump(parser)?;
                            let value = {
                                let mut stmt = ctx.stmt_ctx();
                                let expr = self.parse_expression(parser, ctx, &mut stmt, body)?;
                                let (root, meta) =
                                    ctx.lower_expect(stmt, parser, expr, ExprPos::Rhs, body)?;
                                let constant = parser.solve_constant(ctx, root, meta)?;

                                match parser.module.constants[constant].inner {
                                    ConstantInner::Scalar {
                                        value: ScalarValue::Sint(int),
                                        ..
                                    } => int as i32,
                                    ConstantInner::Scalar {
                                        value: ScalarValue::Uint(int),
                                        ..
                                    } => int as i32,
                                    _ => {
                                        parser.errors.push(Error {
                                            kind: ErrorKind::SemanticError(
                                                "Case values can only be integers".into(),
                                            ),
                                            meta,
                                        });

                                        0
                                    }
                                }
                            };
                            crate::SwitchValue::Integer(value)
                        }
                        TokenValue::Default => {
                            self.bump(parser)?;
                            default_present = true;
                            crate::SwitchValue::Default
                        }
                        TokenValue::RightBrace => {
                            end_meta = self.bump(parser)?.meta;
                            break;
                        }
                        _ => {
                            let Token { value, meta } = self.bump(parser)?;
                            return Err(Error {
                                kind: ErrorKind::InvalidToken(
                                    value,
                                    vec![
                                        TokenValue::Case.into(),
                                        TokenValue::Default.into(),
                                        TokenValue::RightBrace.into(),
                                    ],
                                ),
                                meta,
                            });
                        }
                    };

                    self.expect(parser, TokenValue::Colon)?;

                    let mut body = Block::new();

                    let mut case_terminator = None;
                    loop {
                        match self.expect_peek(parser)?.value {
                            TokenValue::Case | TokenValue::Default | TokenValue::RightBrace => {
                                break
                            }
                            _ => {
                                self.parse_statement(parser, ctx, &mut body, &mut case_terminator)?;
                            }
                        }
                    }

                    let mut fall_through = true;

                    if let Some(mut idx) = case_terminator {
                        if let Statement::Break = body[idx - 1] {
                            fall_through = false;
                            idx -= 1;
                        }

                        body.cull(idx..)
                    }

                    cases.push(SwitchCase {
                        value,
                        body,
                        fall_through,
                    })
                }

                meta.subsume(end_meta);

                // NOTE: do not unwrap here since a switch statement isn't required
                // to have any cases.
                if let Some(case) = cases.last_mut() {
                    // GLSL requires that the last case not be empty, so we check
                    // that here and produce an error otherwise (fall_trough must
                    // also be checked because `break`s count as statements but
                    // they aren't added to the body)
                    if case.body.is_empty() && case.fall_through {
                        parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "last case/default label must be followed by statements".into(),
                            ),
                            meta,
                        })
                    }

                    // GLSL allows the last case to not have any `break` statement,
                    // this would mark it as fall trough but naga's IR requires that
                    // the last case must not be fall trough, so we mark need to mark
                    // the last case as not fall trough always.
                    case.fall_through = false;
                }

                // Add an empty default case in case non was present, this is needed because
                // naga's IR requires that all switch statements must have a default case but
                // GLSL doesn't require that, so we might need to add an empty default case.
                if !default_present {
                    cases.push(SwitchCase {
                        value: crate::SwitchValue::Default,
                        body: Block::new(),
                        fall_through: false,
                    })
                }

                body.push(Statement::Switch { selector, cases }, meta);

                meta
            }
            TokenValue::While => {
                let mut meta = self.bump(parser)?.meta;

                let mut loop_body = Block::new();

                let mut stmt = ctx.stmt_ctx();
                self.expect(parser, TokenValue::LeftParen)?;
                let root = self.parse_expression(parser, ctx, &mut stmt, &mut loop_body)?;
                meta.subsume(self.expect(parser, TokenValue::RightParen)?.meta);

                let (expr, expr_meta) =
                    ctx.lower_expect(stmt, parser, root, ExprPos::Rhs, &mut loop_body)?;
                let condition = ctx.add_expression(
                    Expression::Unary {
                        op: UnaryOperator::Not,
                        expr,
                    },
                    expr_meta,
                    &mut loop_body,
                );

                ctx.emit_restart(&mut loop_body);

                loop_body.push(
                    Statement::If {
                        condition,
                        accept: new_break(),
                        reject: Block::new(),
                    },
                    crate::Span::default(),
                );

                meta.subsume(expr_meta);

                if let Some(body_meta) =
                    self.parse_statement(parser, ctx, &mut loop_body, &mut None)?
                {
                    meta.subsume(body_meta);
                }

                body.push(
                    Statement::Loop {
                        body: loop_body,
                        continuing: Block::new(),
                        break_if: None,
                    },
                    meta,
                );

                meta
            }
            TokenValue::Do => {
                let mut meta = self.bump(parser)?.meta;

                let mut loop_body = Block::new();

                let mut terminator = None;
                self.parse_statement(parser, ctx, &mut loop_body, &mut terminator)?;

                let mut stmt = ctx.stmt_ctx();

                self.expect(parser, TokenValue::While)?;
                self.expect(parser, TokenValue::LeftParen)?;
                let root = self.parse_expression(parser, ctx, &mut stmt, &mut loop_body)?;
                let end_meta = self.expect(parser, TokenValue::RightParen)?.meta;

                meta.subsume(end_meta);

                let (expr, expr_meta) =
                    ctx.lower_expect(stmt, parser, root, ExprPos::Rhs, &mut loop_body)?;
                let condition = ctx.add_expression(
                    Expression::Unary {
                        op: UnaryOperator::Not,
                        expr,
                    },
                    expr_meta,
                    &mut loop_body,
                );

                ctx.emit_restart(&mut loop_body);

                loop_body.push(
                    Statement::If {
                        condition,
                        accept: new_break(),
                        reject: Block::new(),
                    },
                    crate::Span::default(),
                );

                if let Some(idx) = terminator {
                    loop_body.cull(idx..)
                }

                body.push(
                    Statement::Loop {
                        body: loop_body,
                        continuing: Block::new(),
                        break_if: None,
                    },
                    meta,
                );

                meta
            }
            TokenValue::For => {
                let mut meta = self.bump(parser)?.meta;

                ctx.symbol_table.push_scope();
                self.expect(parser, TokenValue::LeftParen)?;

                if self.bump_if(parser, TokenValue::Semicolon).is_none() {
                    if self.peek_type_name(parser) || self.peek_type_qualifier(parser) {
                        self.parse_declaration(parser, ctx, body, false)?;
                    } else {
                        let mut stmt = ctx.stmt_ctx();
                        let expr = self.parse_expression(parser, ctx, &mut stmt, body)?;
                        ctx.lower(stmt, parser, expr, ExprPos::Rhs, body)?;
                        self.expect(parser, TokenValue::Semicolon)?;
                    }
                }

                let (mut block, mut continuing) = (Block::new(), Block::new());

                if self.bump_if(parser, TokenValue::Semicolon).is_none() {
                    let (expr, expr_meta) =
                        if self.peek_type_name(parser) || self.peek_type_qualifier(parser) {
                            let mut qualifiers = self.parse_type_qualifiers(parser)?;
                            let (ty, mut meta) = self.parse_type_non_void(parser)?;
                            let name = self.expect_ident(parser)?.0;

                            self.expect(parser, TokenValue::Assign)?;

                            let (value, end_meta) =
                                self.parse_initializer(parser, ty, ctx, &mut block)?;
                            meta.subsume(end_meta);

                            let decl = VarDeclaration {
                                qualifiers: &mut qualifiers,
                                ty,
                                name: Some(name),
                                init: None,
                                meta,
                            };

                            let pointer = parser.add_local_var(ctx, &mut block, decl)?;

                            ctx.emit_restart(&mut block);

                            block.push(Statement::Store { pointer, value }, meta);

                            (value, end_meta)
                        } else {
                            let mut stmt = ctx.stmt_ctx();
                            let root = self.parse_expression(parser, ctx, &mut stmt, &mut block)?;
                            ctx.lower_expect(stmt, parser, root, ExprPos::Rhs, &mut block)?
                        };

                    let condition = ctx.add_expression(
                        Expression::Unary {
                            op: UnaryOperator::Not,
                            expr,
                        },
                        expr_meta,
                        &mut block,
                    );

                    ctx.emit_restart(&mut block);

                    block.push(
                        Statement::If {
                            condition,
                            accept: new_break(),
                            reject: Block::new(),
                        },
                        crate::Span::default(),
                    );

                    self.expect(parser, TokenValue::Semicolon)?;
                }

                match self.expect_peek(parser)?.value {
                    TokenValue::RightParen => {}
                    _ => {
                        let mut stmt = ctx.stmt_ctx();
                        let rest =
                            self.parse_expression(parser, ctx, &mut stmt, &mut continuing)?;
                        ctx.lower(stmt, parser, rest, ExprPos::Rhs, &mut continuing)?;
                    }
                }

                meta.subsume(self.expect(parser, TokenValue::RightParen)?.meta);

                if let Some(stmt_meta) = self.parse_statement(parser, ctx, &mut block, &mut None)? {
                    meta.subsume(stmt_meta);
                }

                body.push(
                    Statement::Loop {
                        body: block,
                        continuing,
                        break_if: None,
                    },
                    meta,
                );

                ctx.symbol_table.pop_scope();

                meta
            }
            TokenValue::LeftBrace => {
                let meta = self.bump(parser)?.meta;

                let mut block = Block::new();

                let mut block_terminator = None;
                let meta = self.parse_compound_statement(
                    meta,
                    parser,
                    ctx,
                    &mut block,
                    &mut block_terminator,
                )?;

                body.push(Statement::Block(block), meta);
                if block_terminator.is_some() {
                    terminator.get_or_insert(body.len());
                }

                meta
            }
            TokenValue::Semicolon => self.bump(parser)?.meta,
            _ => {
                // Attempt to force expression parsing for remainder of the
                // tokens. Unknown or invalid tokens will be caught there and
                // turned into an error.
                let mut stmt = ctx.stmt_ctx();
                let expr = self.parse_expression(parser, ctx, &mut stmt, body)?;
                ctx.lower(stmt, parser, expr, ExprPos::Rhs, body)?;
                self.expect(parser, TokenValue::Semicolon)?.meta
            }
        };

        meta.subsume(meta_rest);
        Ok(Some(meta))
    }

    pub fn parse_compound_statement(
        &mut self,
        mut meta: Span,
        parser: &mut Parser,
        ctx: &mut Context,
        body: &mut Block,
        terminator: &mut Option<usize>,
    ) -> Result<Span> {
        ctx.symbol_table.push_scope();

        loop {
            if let Some(Token {
                meta: brace_meta, ..
            }) = self.bump_if(parser, TokenValue::RightBrace)
            {
                meta.subsume(brace_meta);
                break;
            }

            let stmt = self.parse_statement(parser, ctx, body, terminator)?;

            if let Some(stmt_meta) = stmt {
                meta.subsume(stmt_meta);
            }
        }

        if let Some(idx) = *terminator {
            body.cull(idx..)
        }

        ctx.symbol_table.pop_scope();

        Ok(meta)
    }

    pub fn parse_function_args(
        &mut self,
        parser: &mut Parser,
        context: &mut Context,
        body: &mut Block,
    ) -> Result<()> {
        if self.bump_if(parser, TokenValue::Void).is_some() {
            return Ok(());
        }

        loop {
            if self.peek_type_name(parser) || self.peek_parameter_qualifier(parser) {
                let qualifier = self.parse_parameter_qualifier(parser);
                let mut ty = self.parse_type_non_void(parser)?.0;

                match self.expect_peek(parser)?.value {
                    TokenValue::Comma => {
                        self.bump(parser)?;
                        context.add_function_arg(parser, body, None, ty, qualifier);
                        continue;
                    }
                    TokenValue::Identifier(_) => {
                        let mut name = self.expect_ident(parser)?;
                        self.parse_array_specifier(parser, &mut name.1, &mut ty)?;

                        context.add_function_arg(parser, body, Some(name), ty, qualifier);

                        if self.bump_if(parser, TokenValue::Comma).is_some() {
                            continue;
                        }

                        break;
                    }
                    _ => break,
                }
            }

            break;
        }

        Ok(())
    }
}


================================================
FILE: lib/naga/src/front/glsl/parser/types.rs
================================================
use crate::{
    front::glsl::{
        ast::{QualifierKey, QualifierValue, StorageQualifier, StructLayout, TypeQualifiers},
        error::ExpectedToken,
        parser::ParsingContext,
        token::{Token, TokenValue},
        Error, ErrorKind, Parser, Result,
    },
    AddressSpace, ArraySize, Handle, Span, Type, TypeInner,
};

impl<'source> ParsingContext<'source> {
    /// Parses an optional array_specifier returning wether or not it's present
    /// and modifying the type handle if it exists
    pub fn parse_array_specifier(
        &mut self,
        parser: &mut Parser,
        span: &mut Span,
        ty: &mut Handle<Type>,
    ) -> Result<()> {
        while self.parse_array_specifier_single(parser, span, ty)? {}
        Ok(())
    }

    /// Implementation of [`Self::parse_array_specifier`] for a single array_specifier
    fn parse_array_specifier_single(
        &mut self,
        parser: &mut Parser,
        span: &mut Span,
        ty: &mut Handle<Type>,
    ) -> Result<bool> {
        if self.bump_if(parser, TokenValue::LeftBracket).is_some() {
            let size =
                if let Some(Token { meta, .. }) = self.bump_if(parser, TokenValue::RightBracket) {
                    span.subsume(meta);
                    ArraySize::Dynamic
                } else {
                    let (value, constant_span) = self.parse_uint_constant(parser)?;
                    let constant = parser.module.constants.fetch_or_append(
                        crate::Constant {
                            name: None,
                            specialization: None,
                            inner: crate::ConstantInner::Scalar {
                                width: 4,
                                value: crate::ScalarValue::Uint(value as u64),
                            },
                        },
                        constant_span,
                    );
                    let end_span = self.expect(parser, TokenValue::RightBracket)?.meta;
                    span.subsume(end_span);
                    ArraySize::Constant(constant)
                };

            parser
                .layouter
                .update(&parser.module.types, &parser.module.constants)
                .unwrap();
            let stride = parser.layouter[*ty].to_stride();
            *ty = parser.module.types.insert(
                Type {
                    name: None,
                    inner: TypeInner::Array {
                        base: *ty,
                        size,
                        stride,
                    },
                },
                *span,
            );

            Ok(true)
        } else {
            Ok(false)
        }
    }

    pub fn parse_type(&mut self, parser: &mut Parser) -> Result<(Option<Handle<Type>>, Span)> {
        let token = self.bump(parser)?;
        let mut handle = match token.value {
            TokenValue::Void => return Ok((None, token.meta)),
            TokenValue::TypeName(ty) => parser.module.types.insert(ty, token.meta),
            TokenValue::Struct => {
                let mut meta = token.meta;
                let ty_name = self.expect_ident(parser)?.0;
                self.expect(parser, TokenValue::LeftBrace)?;
                let mut members = Vec::new();
                let span =
                    self.parse_struct_declaration_list(parser, &mut members, StructLayout::Std140)?;
                let end_meta = self.expect(parser, TokenValue::RightBrace)?.meta;
                meta.subsume(end_meta);
                let ty = parser.module.types.insert(
                    Type {
                        name: Some(ty_name.clone()),
                        inner: TypeInner::Struct { members, span },
                    },
                    meta,
                );
                parser.lookup_type.insert(ty_name, ty);
                ty
            }
            TokenValue::Identifier(ident) => match parser.lookup_type.get(&ident) {
                Some(ty) => *ty,
                None => {
                    return Err(Error {
                        kind: ErrorKind::UnknownType(ident),
                        meta: token.meta,
                    })
                }
            },
            _ => {
                return Err(Error {
                    kind: ErrorKind::InvalidToken(
                        token.value,
                        vec![
                            TokenValue::Void.into(),
                            TokenValue::Struct.into(),
                            ExpectedToken::TypeName,
                        ],
                    ),
                    meta: token.meta,
                });
            }
        };

        let mut span = token.meta;
        self.parse_array_specifier(parser, &mut span, &mut handle)?;
        Ok((Some(handle), span))
    }

    pub fn parse_type_non_void(&mut self, parser: &mut Parser) -> Result<(Handle<Type>, Span)> {
        let (maybe_ty, meta) = self.parse_type(parser)?;
        let ty = maybe_ty.ok_or_else(|| Error {
            kind: ErrorKind::SemanticError("Type can't be void".into()),
            meta,
        })?;

        Ok((ty, meta))
    }

    pub fn peek_type_qualifier(&mut self, parser: &mut Parser) -> bool {
        self.peek(parser).map_or(false, |t| match t.value {
            TokenValue::Invariant
            | TokenValue::Interpolation(_)
            | TokenValue::Sampling(_)
            | TokenValue::PrecisionQualifier(_)
            | TokenValue::Const
            | TokenValue::In
            | TokenValue::Out
            | TokenValue::Uniform
            | TokenValue::Shared
            | TokenValue::Buffer
            | TokenValue::Restrict
            | TokenValue::MemoryQualifier(_)
            | TokenValue::Layout => true,
            _ => false,
        })
    }

    pub fn parse_type_qualifiers<'a>(&mut self, parser: &mut Parser) -> Result<TypeQualifiers<'a>> {
        let mut qualifiers = TypeQualifiers::default();

        while self.peek_type_qualifier(parser) {
            let token = self.bump(parser)?;

            // Handle layout qualifiers outside the match since this can push multiple values
            if token.value == TokenValue::Layout {
                self.parse_layout_qualifier_id_list(parser, &mut qualifiers)?;
                continue;
            }

            qualifiers.span.subsume(token.meta);

            match token.value {
                TokenValue::Invariant => {
                    if qualifiers.invariant.is_some() {
                        parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "Cannot use more than one invariant qualifier per declaration"
                                    .into(),
                            ),
                            meta: token.meta,
                        })
                    }

                    qualifiers.invariant = Some(token.meta);
                }
                TokenValue::Interpolation(i) => {
                    if qualifiers.interpolation.is_some() {
                        parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "Cannot use more than one interpolation qualifier per declaration"
                                    .into(),
                            ),
                            meta: token.meta,
                        })
                    }

                    qualifiers.interpolation = Some((i, token.meta));
                }
                TokenValue::Const
                | TokenValue::In
                | TokenValue::Out
                | TokenValue::Uniform
                | TokenValue::Shared
                | TokenValue::Buffer => {
                    let storage = match token.value {
                        TokenValue::Const => StorageQualifier::Const,
                        TokenValue::In => StorageQualifier::Input,
                        TokenValue::Out => StorageQualifier::Output,
                        TokenValue::Uniform => {
                            StorageQualifier::AddressSpace(AddressSpace::Uniform)
                        }
                        TokenValue::Shared => {
                            StorageQualifier::AddressSpace(AddressSpace::WorkGroup)
                        }
                        TokenValue::Buffer => {
                            StorageQualifier::AddressSpace(AddressSpace::Storage {
                                access: crate::StorageAccess::all(),
                            })
                        }
                        _ => unreachable!(),
                    };

                    if StorageQualifier::AddressSpace(AddressSpace::Function)
                        != qualifiers.storage.0
                    {
                        parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "Cannot use more than one storage qualifier per declaration".into(),
                            ),
                            meta: token.meta,
                        });
                    }

                    qualifiers.storage = (storage, token.meta);
                }
                TokenValue::Sampling(s) => {
                    if qualifiers.sampling.is_some() {
                        parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "Cannot use more than one sampling qualifier per declaration"
                                    .into(),
                            ),
                            meta: token.meta,
                        })
                    }

                    qualifiers.sampling = Some((s, token.meta));
                }
                TokenValue::PrecisionQualifier(p) => {
                    if qualifiers.precision.is_some() {
                        parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "Cannot use more than one precision qualifier per declaration"
                                    .into(),
                            ),
                            meta: token.meta,
                        })
                    }

                    qualifiers.precision = Some((p, token.meta));
                }
                TokenValue::MemoryQualifier(access) => {
                    let storage_access = qualifiers
                        .storage_access
                        .get_or_insert((crate::StorageAccess::all(), Span::default()));
                    if !storage_access.0.contains(!access) {
                        parser.errors.push(Error {
                            kind: ErrorKind::SemanticError(
                                "The same memory qualifier can only be used once".into(),
                            ),
                            meta: token.meta,
                        })
                    }

                    storage_access.0 &= access;
                    storage_access.1.subsume(token.meta);
                }
                TokenValue::Restrict => continue,
                _ => unreachable!(),
            };
        }

        Ok(qualifiers)
    }

    pub fn parse_layout_qualifier_id_list(
        &mut self,
        parser: &mut Parser,
        qualifiers: &mut TypeQualifiers,
    ) -> Result<()> {
        self.expect(parser, TokenValue::LeftParen)?;
        loop {
            self.parse_layout_qualifier_id(parser, &mut qualifiers.layout_qualifiers)?;

            if self.bump_if(parser, TokenValue::Comma).is_some() {
                continue;
            }

            break;
        }
        let token = self.expect(parser, TokenValue::RightParen)?;
        qualifiers.span.subsume(token.meta);

        Ok(())
    }

    pub fn parse_layout_qualifier_id(
        &mut self,
        parser: &mut Parser,
        qualifiers: &mut crate::FastHashMap<QualifierKey, (QualifierValue, Span)>,
    ) -> Result<()> {
        // layout_qualifier_id:
        //     IDENTIFIER
        //     IDENTIFIER EQUAL constant_expression
        //     SHARED
        let mut token = self.bump(parser)?;
        match token.value {
            TokenValue::Identifier(name) => {
                let (key, value) = match name.as_str() {
                    "std140" => (
                        QualifierKey::Layout,
                        QualifierValue::Layout(StructLayout::Std140),
                    ),
                    "std430" => (
                        QualifierKey::Layout,
                        QualifierValue::Layout(StructLayout::Std430),
                    ),
                    word => {
                        if let Some(format) = map_image_format(word) {
                            (QualifierKey::Format, QualifierValue::Format(format))
                        } else {
                            let key = QualifierKey::String(name.into());
                            let value = if self.bump_if(parser, TokenValue::Assign).is_some() {
                                let (value, end_meta) = match self.parse_uint_constant(parser) {
                                    Ok(v) => v,
                                    Err(e) => {
                                        parser.errors.push(e);
                                        (0, Span::default())
                                    }
                                };
                                token.meta.subsume(end_meta);

                                QualifierValue::Uint(value)
                            } else {
                                QualifierValue::None
                            };

                            (key, value)
                        }
                    }
                };

                qualifiers.insert(key, (value, token.meta));
            }
            _ => parser.errors.push(Error {
                kind: ErrorKind::InvalidToken(token.value, vec![ExpectedToken::Identifier]),
                meta: token.meta,
            }),
        }

        Ok(())
    }

    pub fn peek_type_name(&mut self, parser: &mut Parser) -> bool {
        self.peek(parser).map_or(false, |t| match t.value {
            TokenValue::TypeName(_) | TokenValue::Void => true,
            TokenValue::Struct => true,
            TokenValue::Identifier(ref ident) => parser.lookup_type.contains_key(ident),
            _ => false,
        })
    }
}

fn map_image_format(word: &str) -> Option<crate::StorageFormat> {
    use crate::StorageFormat as Sf;

    let format = match word {
        // float-image-format-qualifier:
        "rgba32f" => Sf::Rgba32Float,
        "rgba16f" => Sf::Rgba16Float,
        "rg32f" => Sf::Rg32Float,
        "rg16f" => Sf::Rg16Float,
        "r11f_g11f_b10f" => Sf::Rg11b10Float,
        "r32f" => Sf::R32Float,
        "r16f" => Sf::R16Float,
        "rgba16" => Sf::Rgba16Float,
        "rgb10_a2" => Sf::Rgb10a2Unorm,
        "rgba8" => Sf::Rgba8Unorm,
        "rg16" => Sf::Rg16Float,
        "rg8" => Sf::Rg8Unorm,
        "r16" => Sf::R16Float,
        "r8" => Sf::R8Unorm,
        "rgba8_snorm" => Sf::Rgba8Snorm,
        "rg8_snorm" => Sf::Rg8Snorm,
        "r8_snorm" => Sf::R8Snorm,
        // int-image-format-qualifier:
        "rgba32i" => Sf::Rgba32Sint,
        "rgba16i" => Sf::Rgba16Sint,
        "rgba8i" => Sf::Rgba8Sint,
        "rg32i" => Sf::Rg32Sint,
        "rg16i" => Sf::Rg16Sint,
        "rg8i" => Sf::Rg8Sint,
        "r32i" => Sf::R32Sint,
        "r16i" => Sf::R16Sint,
        "r8i" => Sf::R8Sint,
        // uint-image-format-qualifier:
        "rgba32ui" => Sf::Rgba32Uint,
        "rgba16ui" => Sf::Rgba16Uint,
        "rgba8ui" => Sf::Rgba8Uint,
        "rg32ui" => Sf::Rg32Uint,
        "rg16ui" => Sf::Rg16Uint,
        "rg8ui" => Sf::Rg8Uint,
        "r32ui" => Sf::R32Uint,
        "r16ui" => Sf::R16Uint,
        "r8ui" => Sf::R8Uint,
        // TODO: These next ones seem incorrect to me
        // "rgba16_snorm" => Sf::Rgba16Float,
        // "rg16_snorm" => Sf::Rg16Float,
        // "r16_snorm" => Sf::R16Float,
        // "rgb10_a2ui" => Sf::Rgb10a2Unorm,
        _ => return None,
    };

    Some(format)
}


================================================
FILE: lib/naga/src/front/glsl/parser.rs
================================================
use super::{
    ast::{FunctionKind, Profile, TypeQualifiers},
    context::{Context, ExprPos},
    error::ExpectedToken,
    error::{Error, ErrorKind},
    lex::{Lexer, LexerResultKind},
    token::{Directive, DirectiveKind},
    token::{Token, TokenValue},
    variables::{GlobalOrConstant, VarDeclaration},
    Parser, Result,
};
use crate::{arena::Handle, Block, Constant, ConstantInner, Expression, ScalarValue, Span, Type};
use core::convert::TryFrom;
use pp_rs::token::{PreprocessorError, Token as PPToken, TokenValue as PPTokenValue};
use std::iter::Peekable;

mod declarations;
mod expressions;
mod functions;
mod types;

pub struct ParsingContext<'source> {
    lexer: Peekable<Lexer<'source>>,
    /// Used to store tokens already consumed by the parser but that need to be backtracked
    backtracked_token: Option<Token>,
    last_meta: Span,
}

impl<'source> ParsingContext<'source> {
    pub fn new(lexer: Lexer<'source>) -> Self {
        ParsingContext {
            lexer: lexer.peekable(),
            backtracked_token: None,
            last_meta: Span::default(),
        }
    }

    /// Helper method for backtracking from a consumed token
    ///
    /// This method should always be used instead of assigning to `backtracked_token` since
    /// it validates that backtracking hasn't occurred more than one time in a row
    ///
    /// # Panics
    /// - If the parser already backtracked without bumping in between
    pub fn backtrack(&mut self, token: Token) -> Result<()> {
        // This should never happen
        if let Some(ref prev_token) = self.backtracked_token {
            return Err(Error {
                kind: ErrorKind::InternalError("The parser tried to backtrack twice in a row"),
                meta: prev_token.meta,
            });
        }

        self.backtracked_token = Some(token);

        Ok(())
    }

    pub fn expect_ident(&mut self, parser: &mut Parser) -> Result<(String, Span)> {
        let token = self.bump(parser)?;

        match token.value {
            TokenValue::Identifier(name) => Ok((name, token.meta)),
            _ => Err(Error {
                kind: ErrorKind::InvalidToken(token.value, vec![ExpectedToken::Identifier]),
                meta: token.meta,
            }),
        }
    }

    pub fn expect(&mut self, parser: &mut Parser, value: TokenValue) -> Result<Token> {
        let token = self.bump(parser)?;

        if token.value != value {
            Err(Error {
                kind: ErrorKind::InvalidToken(token.value, vec![value.into()]),
                meta: token.meta,
            })
        } else {
            Ok(token)
        }
    }

    pub fn next(&mut self, parser: &mut Parser) -> Option<Token> {
        loop {
            if let Some(token) = self.backtracked_token.take() {
                self.last_meta = token.meta;
                break Some(token);
            }

            let res = self.lexer.next()?;

            match res.kind {
                LexerResultKind::Token(token) => {
                    self.last_meta = token.meta;
                    break Some(token);
                }
                LexerResultKind::Directive(directive) => {
                    parser.handle_directive(directive, res.meta)
                }
                LexerResultKind::Error(error) => parser.errors.push(Error {
                    kind: ErrorKind::PreprocessorError(error),
                    meta: res.meta,
                }),
            }
        }
    }

    pub fn bump(&mut self, parser: &mut Parser) -> Result<Token> {
        self.next(parser).ok_or(Error {
            kind: ErrorKind::EndOfFile,
            meta: self.last_meta,
        })
    }

    /// Returns None on the end of the file rather than an error like other methods
    pub fn bump_if(&mut self, parser: &mut Parser, value: TokenValue) -> Option<Token> {
        if self.peek(parser).filter(|t| t.value == value).is_some() {
            self.bump(parser).ok()
        } else {
            None
        }
    }

    pub fn peek(&mut self, parser: &mut Parser) -> Option<&Token> {
        loop {
            if let Some(ref token) = self.backtracked_token {
                break Some(token);
            }

            match self.lexer.peek()?.kind {
                LexerResultKind::Token(_) => {
                    let res = self.lexer.peek()?;

                    match res.kind {
                        LexerResultKind::Token(ref token) => break Some(token),
                        _ => unreachable!(),
                    }
                }
                LexerResultKind::Error(_) | LexerResultKind::Directive(_) => {
                    let res = self.lexer.next()?;

                    match res.kind {
                        LexerResultKind::Directive(directive) => {
                            parser.handle_directive(directive, res.meta)
                        }
                        LexerResultKind::Error(error) => parser.errors.push(Error {
                            kind: ErrorKind::PreprocessorError(error),
                            meta: res.meta,
                        }),
                        _ => unreachable!(),
                    }
                }
            }
        }
    }

    pub fn expect_peek(&mut self, parser: &mut Parser) -> Result<&Token> {
        let meta = self.last_meta;
        self.peek(parser).ok_or(Error {
            kind: ErrorKind::EndOfFile,
            meta,
        })
    }

    pub fn parse(&mut self, parser: &mut Parser) -> Result<()> {
        // Body and expression arena for global initialization
        let mut body = Block::new();
        let mut ctx = Context::new(parser, &mut body);

        while self.peek(parser).is_some() {
            self.parse_external_declaration(parser, &mut ctx, &mut body)?;
        }

        // Add an `EntryPoint` to `parser.module` for `main`, if a
        // suitable overload exists. Error out if we can't find one.
        if let Some(declaration) = parser.lookup_function.get("main") {
            for decl in declaration.overloads.iter() {
                if let FunctionKind::Call(handle) = decl.kind {
                    if decl.defined && decl.parameters.is_empty() {
                        parser.add_entry_point(handle, body, ctx.expressions);
                        return Ok(());
                    }
                }
            }
        }

        Err(Error {
            kind: ErrorKind::SemanticError("Missing entry point".into()),
            meta: Span::default(),
        })
    }

    fn parse_uint_constant(&mut self, parser: &mut Parser) -> Result<(u32, Span)> {
        let (value, meta) = self.parse_constant_expression(parser)?;

        let int = match parser.module.constants[value].inner {
            ConstantInner::Scalar {
                value: ScalarValue::Uint(int),
                ..
            } => u32::try_from(int).map_err(|_| Error {
                kind: ErrorKind::SemanticError("int constant overflows".into()),
                meta,
            })?,
            ConstantInner::Scalar {
                value: ScalarValue::Sint(int),
                ..
            } => u32::try_from(int).map_err(|_| Error {
                kind: ErrorKind::SemanticError("int constant overflows".into()),
                meta,
            })?,
            _ => {
                return Err(Error {
                    kind: ErrorKind::SemanticError("Expected a uint constant".into()),
                    meta,
                })
            }
        };

        Ok((int, meta))
    }

    fn parse_constant_expression(
        &mut self,
        parser: &mut Parser,
    ) -> Result<(Handle<Constant>, Span)> {
        let mut block = Block::new();

        let mut ctx = Context::new(parser, &mut block);

        let mut stmt_ctx = ctx.stmt_ctx();
        let expr = self.parse_conditional(parser, &mut ctx, &mut stmt_ctx, &mut block, None)?;
        let (root, meta) = ctx.lower_expect(stmt_ctx, parser, expr, ExprPos::Rhs, &mut block)?;

        Ok((parser.solve_constant(&ctx, root, meta)?, meta))
    }
}

impl Parser {
    fn handle_directive(&mut self, directive: Directive, meta: Span) {
        let mut tokens = directive.tokens.into_iter();

        match directive.kind {
            DirectiveKind::Version { is_first_directive } => {
                if !is_first_directive {
                    self.errors.push(Error {
                        kind: ErrorKind::SemanticError(
                            "#version must occur first in shader".into(),
                        ),
                        meta,
                    })
                }

                match tokens.next() {
                    Some(PPToken {
                        value: PPTokenValue::Integer(int),
                        location,
                    }) => match int.value {
                        440 | 450 | 460 => self.meta.version = int.value as u16,
                        _ => self.errors.push(Error {
                            kind: ErrorKind::InvalidVersion(int.value),
                            meta: location.into(),
                        }),
                    },
                    Some(PPToken { value, location }) => self.errors.push(Error {
                        kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedToken(
                            value,
                        )),
                        meta: location.into(),
                    }),
                    None => self.errors.push(Error {
                        kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedNewLine),
                        meta,
                    }),
                };

                match tokens.next() {
                    Some(PPToken {
                        value: PPTokenValue::Ident(name),
                        location,
                    }) => match name.as_str() {
                        "core" => self.meta.profile = Profile::Core,
                        _ => self.errors.push(Error {
                            kind: ErrorKind::InvalidProfile(name),
                            meta: location.into(),
                        }),
                    },
                    Some(PPToken { value, location }) => self.errors.push(Error {
                        kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedToken(
                            value,
                        )),
                        meta: location.into(),
                    }),
                    None => {}
                };

                if let Some(PPToken { value, location }) = tokens.next() {
                    self.errors.push(Error {
                        kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedToken(
                            value,
                        )),
                        meta: location.into(),
                    })
                }
            }
            DirectiveKind::Extension => {
                // TODO: Proper extension handling
                // - Checking for extension support in the compiler
                // - Handle behaviors such as warn
                // - Handle the all extension
                let name = match tokens.next() {
                    Some(PPToken {
                        value: PPTokenValue::Ident(name),
                        ..
                    }) => Some(name),
                    Some(PPToken { value, location }) => {
                        self.errors.push(Error {
                            kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedToken(
                                value,
                            )),
                            meta: location.into(),
                        });

                        None
                    }
                    None => {
                        self.errors.push(Error {
                            kind: ErrorKind::PreprocessorError(
                                PreprocessorError::UnexpectedNewLine,
                            ),
                            meta,
                        });

                        None
                    }
                };

                match tokens.next() {
                    Some(PPToken {
                        value: PPTokenValue::Punct(pp_rs::token::Punct::Colon),
                        ..
                    }) => {}
                    Some(PPToken { value, location }) => self.errors.push(Error {
                        kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedToken(
                            value,
                        )),
                        meta: location.into(),
                    }),
                    None => self.errors.push(Error {
                        kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedNewLine),
                        meta,
                    }),
                };

                match tokens.next() {
                    Some(PPToken {
                        value: PPTokenValue::Ident(behavior),
                        location,
                    }) => match behavior.as_str() {
                        "require" | "enable" | "warn" | "disable" => {
                            if let Some(name) = name {
                                self.meta.extensions.insert(name);
                            }
                        }
                        _ => self.errors.push(Error {
                            kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedToken(
                                PPTokenValue::Ident(behavior),
                            )),
                            meta: location.into(),
                        }),
                    },
                    Some(PPToken { value, location }) => self.errors.push(Error {
                        kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedToken(
                            value,
                        )),
                        meta: location.into(),
                    }),
                    None => self.errors.push(Error {
                        kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedNewLine),
                        meta,
                    }),
                }

                if let Some(PPToken { value, location }) = tokens.next() {
                    self.errors.push(Error {
                        kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedToken(
                            value,
                        )),
                        meta: location.into(),
                    })
                }
            }
            DirectiveKind::Pragma => {
                // TODO: handle some common pragmas?
            }
        }
    }
}

pub struct DeclarationContext<'ctx, 'qualifiers> {
    qualifiers: TypeQualifiers<'qualifiers>,
    /// Indicates a global declaration
    external: bool,

    ctx: &'ctx mut Context,
    body: &'ctx mut Block,
}

impl<'ctx, 'qualifiers> DeclarationContext<'ctx, 'qualifiers> {
    fn add_var(
        &mut self,
        parser: &mut Parser,
        ty: Handle<Type>,
        name: String,
        init: Option<Handle<Constant>>,
        meta: Span,
    ) -> Result<Handle<Expression>> {
        let decl = VarDeclaration {
            qualifiers: &mut self.qualifiers,
            ty,
            name: Some(name),
            init,
            meta,
        };

        match self.external {
            true => {
                let global = parser.add_global_var(self.ctx, self.body, decl)?;
                let expr = match global {
                    GlobalOrConstant::Global(handle) => Expression::GlobalVariable(handle),
                    GlobalOrConstant::Constant(handle) => Expression::Constant(handle),
                };
                Ok(self.ctx.add_expression(expr, meta, self.body))
            }
            false => parser.add_local_var(self.ctx, self.body, decl),
        }
    }

    /// Emits all the expressions captured by the emitter and starts the emitter again
    ///
    /// Alias to [`emit_restart`] with the declaration body
    ///
    /// [`emit_restart`]: Context::emit_restart
    #[inline]
    fn flush_expressions(&mut self) {
        self.ctx.emit_restart(self.body);
    }
}


================================================
FILE: lib/naga/src/front/glsl/parser_tests.rs
================================================
use super::{
    ast::Profile,
    error::ExpectedToken,
    error::{Error, ErrorKind},
    token::TokenValue,
    Options, Parser, Span,
};
use crate::ShaderStage;
use pp_rs::token::PreprocessorError;

#[test]
fn version() {
    let mut parser = Parser::default();

    // invalid versions
    assert_eq!(
        parser
            .parse(
                &Options::from(ShaderStage::Vertex),
                "#version 99000\n void main(){}",
            )
            .err()
            .unwrap(),
        vec![Error {
            kind: ErrorKind::InvalidVersion(99000),
            meta: Span::new(9, 14)
        }],
    );

    assert_eq!(
        parser
            .parse(
                &Options::from(ShaderStage::Vertex),
                "#version 449\n void main(){}",
            )
            .err()
            .unwrap(),
        vec![Error {
            kind: ErrorKind::InvalidVersion(449),
            meta: Span::new(9, 12)
        }]
    );

    assert_eq!(
        parser
            .parse(
                &Options::from(ShaderStage::Vertex),
                "#version 450 smart\n void main(){}",
            )
            .err()
            .unwrap(),
        vec![Error {
            kind: ErrorKind::InvalidProfile("smart".into()),
            meta: Span::new(13, 18),
        }]
    );

    assert_eq!(
        parser
            .parse(
                &Options::from(ShaderStage::Vertex),
                "#version 450\nvoid main(){} #version 450",
            )
            .err()
            .unwrap(),
        vec![
            Error {
                kind: ErrorKind::PreprocessorError(PreprocessorError::UnexpectedHash,),
                meta: Span::new(27, 28),
            },
            Error {
                kind: ErrorKind::InvalidToken(
                    TokenValue::Identifier("version".into()),
                    vec![ExpectedToken::Eof]
                ),
                meta: Span::new(28, 35)
            }
        ]
    );

    // valid versions
    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            "  #  version 450\nvoid main() {}",
        )
        .unwrap();
    assert_eq!(
        (parser.metadata().version, parser.metadata().profile),
        (450, Profile::Core)
    );

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            "#version 450\nvoid main() {}",
        )
        .unwrap();
    assert_eq!(
        (parser.metadata().version, parser.metadata().profile),
        (450, Profile::Core)
    );

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            "#version 450 core\nvoid main(void) {}",
        )
        .unwrap();
    assert_eq!(
        (parser.metadata().version, parser.metadata().profile),
        (450, Profile::Core)
    );
}

#[test]
fn control_flow() {
    let mut parser = Parser::default();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            if (true) {
                return 1;
            } else {
                return 2;
            }
        }
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            if (true) {
                return 1;
            }
        }
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            int x;
            int y = 3;
            switch (5) {
                case 2:
                    x = 2;
                case 5:
                    x = 5;
                    y = 2;
                    break;
                default:
                    x = 0;
            }
        }
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            int x = 0;
            while(x < 5) {
                x = x + 1;
            }
            do {
                x = x - 1;
            } while(x >= 4)
        }
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            int x = 0;
            for(int i = 0; i < 10;) {
                x = x + 2;
            }
            for(;;);
            return x;
        }
        "#,
        )
        .unwrap();
}

#[test]
fn declarations() {
    let mut parser = Parser::default();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #version 450
        layout(location = 0) in vec2 v_uv;
        layout(location = 0) out vec4 o_color;
        layout(set = 1, binding = 1) uniform texture2D tex;
        layout(set = 1, binding = 2) uniform sampler tex_sampler;

        layout(early_fragment_tests) in;

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #version 450
        layout(std140, set = 2, binding = 0)
        uniform u_locals {
            vec3 model_offs;
            float load_time;
            ivec4 atlas_offs;
        };

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #version 450
        layout(push_constant)
        uniform u_locals {
            vec3 model_offs;
            float load_time;
            ivec4 atlas_offs;
        };

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #version 450
        layout(std430, set = 2, binding = 0)
        uniform u_locals {
            vec3 model_offs;
            float load_time;
            ivec4 atlas_offs;
        };

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #version 450
        layout(std140, set = 2, binding = 0)
        uniform u_locals {
            vec3 model_offs;
            float load_time;
        } block_var;

        void main() {
            load_time * model_offs;
            block_var.load_time * block_var.model_offs;
        }
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #version 450
        float vector = vec4(1.0 / 17.0,  9.0 / 17.0,  3.0 / 17.0, 11.0 / 17.0);

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #version 450
        precision highp float;

        void main() {}
        "#,
        )
        .unwrap();
}

#[test]
fn textures() {
    let mut parser = Parser::default();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #version 450
        layout(location = 0) in vec2 v_uv;
        layout(location = 0) out vec4 o_color;
        layout(set = 1, binding = 1) uniform texture2D tex;
        layout(set = 1, binding = 2) uniform sampler tex_sampler;
        void main() {
            o_color = texture(sampler2D(tex, tex_sampler), v_uv);
            o_color.a = texture(sampler2D(tex, tex_sampler), v_uv, 2.0).a;
        }
        "#,
        )
        .unwrap();
}

#[test]
fn functions() {
    let mut parser = Parser::default();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void test1(float);
        void test1(float) {}

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void test2(float a) {}
        void test3(float a, float b) {}
        void test4(float, float) {}

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        float test(float a) { return a; }

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        float test(vec4 p) {
            return p.x;
        }

        void main() {}
        "#,
        )
        .unwrap();

    // Function overloading
    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        float test(vec2 p);
        float test(vec3 p);
        float test(vec4 p);

        float test(vec2 p) {
            return p.x;
        }

        float test(vec3 p) {
            return p.x;
        }

        float test(vec4 p) {
            return p.x;
        }

        void main() {}
        "#,
        )
        .unwrap();

    assert_eq!(
        parser
            .parse(
                &Options::from(ShaderStage::Vertex),
                r#"
                #  version 450
                int test(vec4 p) {
                    return p.x;
                }

                float test(vec4 p) {
                    return p.x;
                }

                void main() {}
                "#,
            )
            .err()
            .unwrap(),
        vec![Error {
            kind: ErrorKind::SemanticError("Function already defined".into()),
            meta: Span::new(134, 152),
        }]
    );

    println!();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        float callee(uint q) {
            return float(q);
        }

        float caller() {
            callee(1u);
        }

        void main() {}
        "#,
        )
        .unwrap();

    // Nested function call
    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
            #  version 450
            layout(set = 0, binding = 1) uniform texture2D t_noise;
            layout(set = 0, binding = 2) uniform sampler s_noise;

            void main() {
                textureLod(sampler2D(t_noise, s_noise), vec2(1.0), 0);
            }
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void fun(vec2 in_parameter, out float out_parameter) {
            ivec2 _ = ivec2(in_parameter);
        }

        void main() {
            float a;
            fun(vec2(1.0), a);
        }
        "#,
        )
        .unwrap();
}

#[test]
fn constants() {
    use crate::{Constant, ConstantInner, ScalarValue};
    let mut parser = Parser::default();

    let module = parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        const float a = 1.0;
        float global = a;
        const float b = a;

        void main() {}
        "#,
        )
        .unwrap();

    let mut constants = module.constants.iter();

    assert_eq!(
        constants.next().unwrap().1,
        &Constant {
            name: None,
            specialization: None,
            inner: ConstantInner::Scalar {
                width: 4,
                value: ScalarValue::Float(1.0)
            }
        }
    );

    assert!(constants.next().is_none());
}

#[test]
fn function_overloading() {
    let mut parser = Parser::default();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450

        float saturate(float v) { return clamp(v, 0.0, 1.0); }
        vec2 saturate(vec2 v) { return clamp(v, vec2(0.0), vec2(1.0)); }
        vec3 saturate(vec3 v) { return clamp(v, vec3(0.0), vec3(1.0)); }
        vec4 saturate(vec4 v) { return clamp(v, vec4(0.0), vec4(1.0)); }

        void main() {
            float v1 = saturate(1.5);
            vec2 v2 = saturate(vec2(0.5, 1.5));
            vec3 v3 = saturate(vec3(0.5, 1.5, 2.5));
            vec3 v4 = saturate(vec4(0.5, 1.5, 2.5, 3.5));
        }
        "#,
        )
        .unwrap();
}

#[test]
fn implicit_conversions() {
    let mut parser = Parser::default();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            mat4 a = mat4(1);
            float b = 1u;
            float c = 1 + 2.0;
        }
        "#,
        )
        .unwrap();

    assert_eq!(
        parser
            .parse(
                &Options::from(ShaderStage::Vertex),
                r#"
                #  version 450
                void test(int a) {}
                void test(uint a) {}

                void main() {
                    test(1.0);
                }
                "#,
            )
            .err()
            .unwrap(),
        vec![Error {
            kind: ErrorKind::SemanticError("Unknown function \'test\'".into()),
            meta: Span::new(156, 165),
        }]
    );

    assert_eq!(
        parser
            .parse(
                &Options::from(ShaderStage::Vertex),
                r#"
                #  version 450
                void test(float a) {}
                void test(uint a) {}

                void main() {
                    test(1);
                }
                "#,
            )
            .err()
            .unwrap(),
        vec![Error {
            kind: ErrorKind::SemanticError("Ambiguous best function for \'test\'".into()),
            meta: Span::new(158, 165),
        }]
    );
}

#[test]
fn structs() {
    let mut parser = Parser::default();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        Test {
            vec4 pos;
          } xx;

        void main() {}
        "#,
        )
        .unwrap_err();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        struct Test {
            vec4 pos;
        };

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        const int NUM_VECS = 42;
        struct Test {
            vec4 vecs[NUM_VECS];
        };

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        struct Hello {
            vec4 test;
        } test() {
            return Hello( vec4(1.0) );
        }

        void main() {}
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        struct Test {};

        void main() {}
        "#,
        )
        .unwrap_err();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        inout struct Test {
            vec4 x;
        };

        void main() {}
        "#,
        )
        .unwrap_err();
}

#[test]
fn swizzles() {
    let mut parser = Parser::default();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            vec4 v = vec4(1);
            v.xyz = vec3(2);
            v.x = 5.0;
            v.xyz.zxy.yx.xy = vec2(5.0, 1.0);
        }
        "#,
        )
        .unwrap();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            vec4 v = vec4(1);
            v.xx = vec2(5.0);
        }
        "#,
        )
        .unwrap_err();

    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            vec3 v = vec3(1);
            v.w = 2.0;
        }
        "#,
        )
        .unwrap_err();
}

#[test]
fn expressions() {
    let mut parser = Parser::default();

    // Vector indexing
    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        float test(int index) {
            vec4 v = vec4(1.0, 2.0, 3.0, 4.0);
            return v[index] + 1.0;
        }

        void main() {}
        "#,
        )
        .unwrap();

    // Prefix increment/decrement
    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            uint index = 0;
            
            --index;
            ++index;
        }
        "#,
        )
        .unwrap();

    // Dynamic indexing of array
    parser
        .parse(
            &Options::from(ShaderStage::Vertex),
            r#"
        #  version 450
        void main() {
            const vec4 positions[1] = { vec4(0) };

            gl_Position = positions[gl_VertexIndex];
        }
        "#,
        )
        .unwrap();
}


================================================
FILE: lib/naga/src/front/glsl/token.rs
================================================
pub use pp_rs::token::{Float, Integer, Location, PreprocessorError, Token as PPToken};

use super::ast::Precision;
use crate::{Interpolation, Sampling, Span, Type};

impl From<Location> for Span {
    fn from(loc: Location) -> Self {
        Span::new(loc.start, loc.end)
    }
}

#[derive(Debug)]
#[cfg_attr(test, derive(PartialEq))]
pub struct Token {
    pub value: TokenValue,
    pub meta: Span,
}

/// A token passed from the lexing used in the parsing.
///
/// This type is exported since it's returned in the
/// [`InvalidToken`](super::ErrorKind::InvalidToken) error.
#[derive(Debug, PartialEq)]
pub enum TokenValue {
    Identifier(String),

    FloatConstant(Float),
    IntConstant(Integer),
    BoolConstant(bool),

    Layout,
    In,
    Out,
    InOut,
    Uniform,
    Buffer,
    Const,
    Shared,

    Restrict,
    /// A `glsl` memory qualifier such as `writeonly`
    ///
    /// The associated [`crate::StorageAccess`] is the access being allowed
    /// (for example `writeonly` has an associated value of [`crate::StorageAccess::STORE`])
    MemoryQualifier(crate::StorageAccess),

    Invariant,
    Interpolation(Interpolation),
    Sampling(Sampling),
    Precision,
    PrecisionQualifier(Precision),

    Continue,
    Break,
    Return,
    Discard,

    If,
    Else,
    Switch,
    Case,
    Default,
    While,
    Do,
    For,

    Void,
    Struct,
    TypeName(Type),

    Assign,
    AddAssign,
    SubAssign,
    MulAssign,
    DivAssign,
    ModAssign,
    LeftShiftAssign,
    RightShiftAssign,
    AndAssign,
    XorAssign,
    OrAssign,

    Increment,
    Decrement,

    LogicalOr,
    LogicalAnd,
    LogicalXor,

    LessEqual,
    GreaterEqual,
    Equal,
    NotEqual,

    LeftShift,
    RightShift,

    LeftBrace,
    RightBrace,
    LeftParen,
    RightParen,
    LeftBracket,
    RightBracket,
    LeftAngle,
    RightAngle,

    Comma,
    Semicolon,
    Colon,
    Dot,
    Bang,
    Dash,
    Tilde,
    Plus,
    Star,
    Slash,
    Percent,
    VerticalBar,
    Caret,
    Ampersand,
    Question,
}

#[derive(Debug)]
#[cfg_attr(test, derive(PartialEq))]
pub struct Directive {
    pub kind: DirectiveKind,
    pub tokens: Vec<PPToken>,
}

#[derive(Debug)]
#[cfg_attr(test, derive(PartialEq))]
pub enum DirectiveKind {
    Version { is_first_directive: bool },
    Extension,
    Pragma,
}


================================================
FILE: lib/naga/src/front/glsl/types.rs
================================================
use super::{constants::ConstantSolver, context::Context, Error, ErrorKind, Parser, Result, Span};
use crate::{
    proc::ResolveContext, Bytes, Constant, Expression, Handle, ImageClass, ImageDimension,
    ScalarKind, Type, TypeInner, VectorSize,
};

pub fn parse_type(type_name: &str) -> Option<Type> {
    match type_name {
        "bool" => Some(Type {
            name: None,
            inner: TypeInner::Scalar {
                kind: ScalarKind::Bool,
                width: crate::BOOL_WIDTH,
            },
        }),
        "float" => Some(Type {
            name: None,
            inner: TypeInner::Scalar {
                kind: ScalarKind::Float,
                width: 4,
            },
        }),
        "double" => Some(Type {
            name: None,
            inner: TypeInner::Scalar {
                kind: ScalarKind::Float,
                width: 8,
            },
        }),
        "int" => Some(Type {
            name: None,
            inner: TypeInner::Scalar {
                kind: ScalarKind::Sint,
                width: 4,
            },
        }),
        "uint" => Some(Type {
            name: None,
            inner: TypeInner::Scalar {
                kind: ScalarKind::Uint,
                width: 4,
            },
        }),
        "sampler" | "samplerShadow" => Some(Type {
            name: None,
            inner: TypeInner::Sampler {
                comparison: type_name == "samplerShadow",
            },
        }),
        word => {
            fn kind_width_parse(ty: &str) -> Option<(ScalarKind, u8)> {
                Some(match ty {
                    "" => (ScalarKind::Float, 4),
                    "b" => (ScalarKind::Bool, crate::BOOL_WIDTH),
                    "i" => (ScalarKind::Sint, 4),
                    "u" => (ScalarKind::Uint, 4),
                    "d" => (ScalarKind::Float, 8),
                    _ => return None,
                })
            }

            fn size_parse(n: &str) -> Option<VectorSize> {
                Some(match n {
                    "2" => VectorSize::Bi,
                    "3" => VectorSize::Tri,
                    "4" => VectorSize::Quad,
                    _ => return None,
                })
            }

            let vec_parse = |word: &str| {
                let mut iter = word.split("vec");

                let kind = iter.next()?;
                let size = iter.next()?;
                let (kind, width) = kind_width_parse(kind)?;
                let size = size_parse(size)?;

                Some(Type {
                    name: None,
                    inner: TypeInner::Vector { size, kind, width },
                })
            };

            let mat_parse = |word: &str| {
                let mut iter = word.split("mat");

                let kind = iter.next()?;
                let size = iter.next()?;
                let (_, width) = kind_width_parse(kind)?;

                let (columns, rows) = if let Some(size) = size_parse(size) {
                    (size, size)
                } else {
                    let mut iter = size.split('x');
                    match (iter.next()?, iter.next()?, iter.next()) {
                        (col, row, None) => (size_parse(col)?, size_parse(row)?),
                        _ => return None,
                    }
                };

                Some(Type {
                    name: None,
                    inner: TypeInner::Matrix {
                        columns,
                        rows,
                        width,
                    },
                })
            };

            let texture_parse = |word: &str| {
                let mut iter = word.split("texture");

                let texture_kind = |ty| {
                    Some(match ty {
                        "" => ScalarKind::Float,
                        "i" => ScalarKind::Sint,
                        "u" => ScalarKind::Uint,
                        _ => return None,
                    })
                };

                let kind = iter.next()?;
                let size = iter.next()?;
                let kind = texture_kind(kind)?;

                let sampled = |multi| ImageClass::Sampled { kind, multi };

                let (dim, arrayed, class) = match size {
                    "1D" => (ImageDimension::D1, false, sampled(false)),
                    "1DArray" => (ImageDimension::D1, true, sampled(false)),
                    "2D" => (ImageDimension::D2, false, sampled(false)),
                    "2DArray" => (ImageDimension::D2, true, sampled(false)),
                    "2DMS" => (ImageDimension::D2, false, sampled(true)),
                    "2DMSArray" => (ImageDimension::D2, true, sampled(true)),
                    "3D" => (ImageDimension::D3, false, sampled(false)),
                    "Cube" => (ImageDimension::Cube, false, sampled(false)),
                    "CubeArray" => (ImageDimension::Cube, true, sampled(false)),
                    _ => return None,
                };

                Some(Type {
                    name: None,
                    inner: TypeInner::Image {
                        dim,
                        arrayed,
                        class,
                    },
                })
            };

            let image_parse = |word: &str| {
                let mut iter = word.split("image");

                let texture_kind = |ty| {
                    Some(match ty {
                        "" => ScalarKind::Float,
                        "i" => ScalarKind::Sint,
                        "u" => ScalarKind::Uint,
                        _ => return None,
                    })
                };

                let kind = iter.next()?;
                let size = iter.next()?;
                // TODO: Check that the texture format and the kind match
                let _ = texture_kind(kind)?;

                let class = ImageClass::Storage {
                    format: crate::StorageFormat::R8Uint,
                    access: crate::StorageAccess::all(),
                };

                // TODO: glsl support multisampled storage images, naga doesn't
                let (dim, arrayed) = match size {
                    "1D" => (ImageDimension::D1, false),
                    "1DArray" => (ImageDimension::D1, true),
                    "2D" => (ImageDimension::D2, false),
                    "2DArray" => (ImageDimension::D2, true),
                    "3D" => (ImageDimension::D3, false),
                    // Naga doesn't support cube images and it's usefulness
                    // is questionable, so they won't be supported for now
                    // "Cube" => (ImageDimension::Cube, false),
                    // "CubeArray" => (ImageDimension::Cube, true),
                    _ => return None,
                };

                Some(Type {
                    name: None,
                    inner: TypeInner::Image {
                        dim,
                        arrayed,
                        class,
                    },
                })
            };

            vec_parse(word)
                .or_else(|| mat_parse(word))
                .or_else(|| texture_parse(word))
                .or_else(|| image_parse(word))
        }
    }
}

pub const fn scalar_components(ty: &TypeInner) -> Option<(ScalarKind, Bytes)> {
    match *ty {
        TypeInner::Scalar { kind, width } => Some((kind, width)),
        TypeInner::Vector { kind, width, .. } => Some((kind, width)),
        TypeInner::Matrix { width, .. } => Some((ScalarKind::Float, width)),
        TypeInner::ValuePointer { kind, width, .. } => Some((kind, width)),
        _ => None,
    }
}

pub const fn type_power(kind: ScalarKind, width: Bytes) -> Option<u32> {
    Some(match kind {
        ScalarKind::Sint => 0,
        ScalarKind::Uint => 1,
        ScalarKind::Float if width == 4 => 2,
        ScalarKind::Float => 3,
        ScalarKind::Bool => return None,
    })
}

impl Parser {
    /// Resolves the types of the expressions until `expr` (inclusive)
    ///
    /// This needs to be done before the [`typifier`] can be queried for
    /// the types of the expressions in the range between the last grow and `expr`.
    ///
    /// # Note
    ///
    /// The `resolve_type*` methods (like [`resolve_type`]) automatically
    /// grow the [`typifier`] so calling this method is not necessary when using
    /// them.
    ///
    /// [`typifier`]: Context::typifier
    /// [`resolve_type`]: Self::resolve_type
    pub(crate) fn typifier_grow(
        &self,
        ctx: &mut Context,
        expr: Handle<Expression>,
        meta: Span,
    ) -> Result<()> {
        let resolve_ctx = ResolveContext {
            constants: &self.module.constants,
            types: &self.module.types,
            global_vars: &self.module.global_variables,
            local_vars: &ctx.locals,
            functions: &self.module.functions,
            arguments: &ctx.arguments,
        };

        ctx.typifier
            .grow(expr, &ctx.expressions, &resolve_ctx)
            .map_err(|error| Error {
                kind: ErrorKind::SemanticError(format!("Can't resolve type: {:?}", error).into()),
                meta,
            })
    }

    /// Gets the type for the result of the `expr` expression
    ///
    /// Automatically grows the [`typifier`] to `expr` so calling
    /// [`typifier_grow`] is not necessary
    ///
    /// [`typifier`]: Context::typifier
    /// [`typifier_grow`]: Self::typifier_grow
    pub(crate) fn resolve_type<'b>(
        &'b self,
        ctx: &'b mut Context,
        expr: Handle<Expression>,
        meta: Span,
    ) -> Result<&'b TypeInner> {
        self.typifier_grow(ctx, expr, meta)?;
        Ok(ctx.typifier.get(expr, &self.module.types))
    }

    /// Gets the type handle for the result of the `expr` expression
    ///
    /// Automatically grows the [`typifier`] to `expr` so calling
    /// [`typifier_grow`] is not necessary
    ///
    /// # Note
    ///
    /// Consider using [`resolve_type`] whenever possible
    /// since it doesn't require adding each type to the [`types`] arena
    /// and it doesn't need to mutably borrow the [`Parser`][Self]
    ///
    /// [`types`]: crate::Module::types
    /// [`typifier`]: Context::typifier
    /// [`typifier_grow`]: Self::typifier_grow
    /// [`resolve_type`]: Self::resolve_type
    pub(crate) fn resolve_type_handle(
        &mut self,
        ctx: &mut Context,
        expr: Handle<Expression>,
        meta: Span,
    ) -> Result<Handle<Type>> {
        self.typifier_grow(ctx, expr, meta)?;
        let resolution = &ctx.typifier[expr];
        Ok(match *resolution {
            // If the resolution is already a handle return early
            crate::proc::TypeResolution::Handle(ty) => ty,
            // If it's a value we need to clone it
            crate::proc::TypeResolution::Value(_) => match resolution.clone() {
                // This is unreachable
                crate::proc::TypeResolution::Handle(ty) => ty,
                // Add the value to the type arena and return the handle
                crate::proc::TypeResolution::Value(inner) => {
                    self.module.types.insert(Type { name: None, inner }, meta)
                }
            },
        })
    }

    /// Invalidates the cached type resolution for `expr` forcing a recomputation
    pub(crate) fn invalidate_expression<'b>(
        &'b self,
        ctx: &'b mut Context,
        expr: Handle<Expression>,
        meta: Span,
    ) -> Result<()> {
        let resolve_ctx = ResolveContext {
            constants: &self.module.constants,
            types: &self.module.types,
            global_vars: &self.module.global_variables,
            local_vars: &ctx.locals,
            functions: &self.module.functions,
            arguments: &ctx.arguments,
        };

        ctx.typifier
            .invalidate(expr, &ctx.expressions, &resolve_ctx)
            .map_err(|error| Error {
                kind: ErrorKind::SemanticError(format!("Can't resolve type: {:?}", error).into()),
                meta,
            })
    }

    pub(crate) fn solve_constant(
        &mut self,
        ctx: &Context,
        root: Handle<Expression>,
        meta: Span,
    ) -> Result<Handle<Constant>> {
        let mut solver = ConstantSolver {
            types: &mut self.module.types,
            expressions: &ctx.expressions,
            constants: &mut self.module.constants,
        };

        solver.solve(root).map_err(|e| Error {
            kind: e.into(),
            meta,
        })
    }
}


================================================
FILE: lib/naga/src/front/glsl/variables.rs
================================================
use super::{
    ast::*,
    context::{Context, ExprPos},
    error::{Error, ErrorKind},
    Parser, Result, Span,
};
use crate::{
    AddressSpace, Binding, Block, BuiltIn, Constant, Expression, GlobalVariable, Handle,
    Interpolation, LocalVariable, ResourceBinding, ScalarKind, ShaderStage, SwizzleComponent, Type,
    TypeInner, VectorSize,
};

pub struct VarDeclaration<'a, 'key> {
    pub qualifiers: &'a mut TypeQualifiers<'key>,
    pub ty: Handle<Type>,
    pub name: Option<String>,
    pub init: Option<Handle<Constant>>,
    pub meta: Span,
}

/// Information about a builtin used in [`add_builtin`](Parser::add_builtin).
struct BuiltInData {
    /// The type of the builtin.
    inner: TypeInner,
    /// The associated builtin class.
    builtin: BuiltIn,
    /// Whether the builtin can be written to or not.
    mutable: bool,
    /// The storage used for the builtin.
    storage: StorageQualifier,
}

pub enum GlobalOrConstant {
    Global(Handle<GlobalVariable>),
    Constant(Handle<Constant>),
}

impl Parser {
    /// Adds a builtin and returns a variable reference to it
    fn add_builtin(
        &mut self,
        ctx: &mut Context,
        body: &mut Block,
        name: &str,
        data: BuiltInData,
        meta: Span,
    ) -> Option<VariableReference> {
        let ty = self.module.types.insert(
            Type {
                name: None,
                inner: data.inner,
            },
            meta,
        );

        let handle = self.module.global_variables.append(
            GlobalVariable {
                name: Some(name.into()),
                space: AddressSpace::Private,
                binding: None,
                ty,
                init: None,
            },
            meta,
        );

        let idx = self.entry_args.len();
        self.entry_args.push(EntryArg {
            name: None,
            binding: Binding::BuiltIn(data.builtin),
            handle,
            storage: data.storage,
        });

        self.global_variables.push((
            name.into(),
            GlobalLookup {
                kind: GlobalLookupKind::Variable(handle),
                entry_arg: Some(idx),
                mutable: data.mutable,
            },
        ));

        let expr = ctx.add_expression(Expression::GlobalVariable(handle), meta, body);

        let var = VariableReference {
            expr,
            load: true,
            mutable: data.mutable,
            constant: None,
            entry_arg: Some(idx),
        };

        ctx.symbol_table.add_root(name.into(), var.clone());

        Some(var)
    }

    pub(crate) fn lookup_variable(
        &mut self,
        ctx: &mut Context,
        body: &mut Block,
        name: &str,
        meta: Span,
    ) -> Option<VariableReference> {
        if let Some(var) = ctx.symbol_table.lookup(name).cloned() {
            return Some(var);
        }

        let data = match name {
            "gl_Position" => BuiltInData {
                inner: TypeInner::Vector {
                    size: VectorSize::Quad,
                    kind: ScalarKind::Float,
                    width: 4,
                },
                builtin: BuiltIn::Position { invariant: false },
                mutable: true,
                storage: StorageQualifier::Output,
            },
            "gl_FragCoord" => BuiltInData {
                inner: TypeInner::Vector {
                    size: VectorSize::Quad,
                    kind: ScalarKind::Float,
                    width: 4,
                },
                builtin: BuiltIn::Position { invariant: false },
                mutable: false,
                storage: StorageQualifier::Input,
            },
            "gl_GlobalInvocationID"
            | "gl_NumWorkGroups"
            | "gl_WorkGroupSize"
            | "gl_WorkGroupID"
            | "gl_LocalInvocationID" => BuiltInData {
                inner: TypeInner::Vector {
                    size: VectorSize::Tri,
                    kind: ScalarKind::Uint,
                    width: 4,
                },
                builtin: match name {
                    "gl_GlobalInvocationID" => BuiltIn::GlobalInvocationId,
                    "gl_NumWorkGroups" => BuiltIn::NumWorkGroups,
                    "gl_WorkGroupSize" => BuiltIn::WorkGroupSize,
                    "gl_WorkGroupID" => BuiltIn::WorkGroupId,
                    "gl_LocalInvocationID" => BuiltIn::LocalInvocationId,
                    _ => unreachable!(),
                },
                mutable: false,
                storage: StorageQualifier::Input,
            },
            "gl_FrontFacing" => BuiltInData {
                inner: TypeInner::Scalar {
                    kind: ScalarKind::Bool,
                    width: crate::BOOL_WIDTH,
                },
                builtin: BuiltIn::FrontFacing,
                mutable: false,
                storage: StorageQualifier::Input,
            },
            "gl_PointSize" | "gl_FragDepth" => BuiltInData {
                inner: TypeInner::Scalar {
                    kind: ScalarKind::Float,
                    width: 4,
                },
                builtin: match name {
                    "gl_PointSize" => BuiltIn::PointSize,
                    "gl_FragDepth" => BuiltIn::FragDepth,
                    _ => unreachable!(),
                },
                mutable: true,
                storage: StorageQualifier::Output,
            },
            "gl_ClipDistance" | "gl_CullDistance" => {
                let base = self.module.types.insert(
                    Type {
                        name: None,
                        inner: TypeInner::Scalar {
                            kind: ScalarKind::Float,
                            width: 4,
                        },
                    },
                    meta,
                );

                BuiltInData {
                    inner: TypeInner::Array {
                        base,
                        size: crate::ArraySize::Dynamic,
                        stride: 4,
                    },
                    builtin: match name {
                        "gl_ClipDistance" => BuiltIn::PointSize,
                        "gl_CullDistance" => BuiltIn::FragDepth,
                        _ => unreachable!(),
                    },
                    mutable: self.meta.stage == ShaderStage::Vertex,
                    storage: StorageQualifier::Output,
                }
            }
            _ => {
                let builtin = match name {
                    "gl_BaseVertex" => BuiltIn::BaseVertex,
                    "gl_BaseInstance" => BuiltIn::BaseInstance,
                    "gl_PrimitiveID" => BuiltIn::PrimitiveIndex,
                    "gl_InstanceIndex" => BuiltIn::InstanceIndex,
                    "gl_VertexIndex" => BuiltIn::VertexIndex,
                    "gl_SampleID" => BuiltIn::SampleIndex,
                    "gl_LocalInvocationIndex" => BuiltIn::LocalInvocationIndex,
                    _ => return None,
                };

                BuiltInData {
                    inner: TypeInner::Scalar {
                        kind: ScalarKind::Uint,
                        width: 4,
                    },
                    builtin,
                    mutable: false,
                    storage: StorageQualifier::Input,
                }
            }
        };

        self.add_builtin(ctx, body, name, data, meta)
    }

    pub(crate) fn make_variable_invariant(
        &mut self,
        ctx: &mut Context,
        body: &mut Block,
        name: &str,
        meta: Span,
    ) {
        if let Some(var) = self.lookup_variable(ctx, body, name, meta) {
            if let Some(index) = var.entry_arg {
                if let Binding::BuiltIn(BuiltIn::Position { ref mut invariant }) =
                    self.entry_args[index].binding
                {
                    *invariant = true;
                }
            }
        }
    }

    pub(crate) fn field_selection(
        &mut self,
        ctx: &mut Context,
        pos: ExprPos,
        body: &mut Block,
        expression: Handle<Expression>,
        name: &str,
        meta: Span,
    ) -> Result<Handle<Expression>> {
        let (ty, is_pointer) = match *self.resolve_type(ctx, expression, meta)? {
            TypeInner::Pointer { base, .. } => (&self.module.types[base].inner, true),
            ref ty => (ty, false),
        };
        match *ty {
            TypeInner::Struct { ref members, .. } => {
                let index = members
                    .iter()
                    .position(|m| m.name == Some(name.into()))
                    .ok_or_else(|| Error {
                        kind: ErrorKind::UnknownField(name.into()),
                        meta,
                    })?;
                let pointer = ctx.add_expression(
                    Expression::AccessIndex {
                        base: expression,
                        index: index as u32,
                    },
                    meta,
                    body,
                );

                Ok(match pos {
                    ExprPos::Rhs if is_pointer => {
                        ctx.add_expression(Expression::Load { pointer }, meta, body)
                    }
                    _ => pointer,
                })
            }
            // swizzles (xyzw, rgba, stpq)
            TypeInner::Vector { size, .. } => {
                let check_swizzle_components = |comps: &str| {
                    name.chars()
                        .map(|c| {
                            comps
                                .find(c)
                                .filter(|i| *i < size as usize)
                                .map(|i| SwizzleComponent::from_index(i as u32))
                        })
                        .collect::<Option<Vec<SwizzleComponent>>>()
                };

                let components = check_swizzle_components("xyzw")
                    .or_else(|| check_swizzle_components("rgba"))
                    .or_else(|| check_swizzle_components("stpq"));

                if let Some(components) = components {
                    if let ExprPos::Lhs = pos {
                        let not_unique = (1..components.len())
                            .any(|i| components[i..].contains(&components[i - 1]));
                        if not_unique {
                            self.errors.push(Error {
                                kind:
                                ErrorKind::SemanticError(
                                format!(
                                    "swizzle cannot have duplicate components in left-hand-side expression for \"{:?}\"",
                                    name
                                )
                                .into(),
                            ),
                                meta ,
                            })
                        }
                    }

                    let mut pattern = [SwizzleComponent::X; 4];
                    for (pat, component) in pattern.iter_mut().zip(&components) {
                        *pat = *component;
                    }

                    // flatten nested swizzles (vec.zyx.xy.x => vec.z)
                    let mut expression = expression;
                    if let Expression::Swizzle {
                        size: _,
                        vector,
                        pattern: ref src_pattern,
                    } = ctx[expression]
                    {
                        expression = vector;
                        for pat in &mut pattern {
                            *pat = src_pattern[pat.index() as usize];
                        }
                    }

                    let size = match components.len() {
                        // Swizzles with just one component are accesses and not swizzles
                        1 => {
                            match pos {
                                // If the position is in the right hand side and the base
                                // vector is a pointer, load it, otherwise the swizzle would
                                // produce a pointer
                                ExprPos::Rhs if is_pointer => {
                                    expression = ctx.add_expression(
                                        Expression::Load {
                                            pointer: expression,
                                        },
                                        meta,
                                        body,
                                    );
                                }
                                _ => {}
                            };
                            return Ok(ctx.add_expression(
                                Expression::AccessIndex {
                                    base: expression,
                                    index: pattern[0].index(),
                                },
                                meta,
                                body,
                            ));
                        }
                        2 => VectorSize::Bi,
                        3 => VectorSize::Tri,
                        4 => VectorSize::Quad,
                        _ => {
                            self.errors.push(Error {
                                kind: ErrorKind::SemanticError(
                                    format!("Bad swizzle size for \"{:?}\"", name).into(),
                                ),
                                meta,
                            });

                            VectorSize::Quad
                        }
                    };

                    if is_pointer {
                        // NOTE: for lhs expression, this extra load ends up as an unused expr, because the
                        // assignment will extract the pointer and use it directly anyway. Unfortunately we
                        // need it for validation to pass, as swizzles cannot operate on pointer values.
                        expression = ctx.add_expression(
                            Expression::Load {
                                pointer: expression,
                            },
                            meta,
                            body,
                        );
                    }

                    Ok(ctx.add_expression(
                        Expression::Swizzle {
                            size,
                            vector: expression,
                            pattern,
                        },
                        meta,
                        body,
                    ))
                } else {
                    Err(Error {
                        kind: ErrorKind::SemanticError(
                            format!("Invalid swizzle for vector \"{}\"", name).into(),
                        ),
                        meta,
                    })
                }
            }
            _ => Err(Error {
                kind: ErrorKind::SemanticError(
                    format!("Can't lookup field on this type \"{}\"", name).into(),
                ),
                meta,
            }),
        }
    }

    pub(crate) fn add_global_var(
        &mut self,
        ctx: &mut Context,
        body: &mut Block,
        VarDeclaration {
            qualifiers,
            mut ty,
            name,
            init,
            meta,
        }: VarDeclaration,
    ) -> Result<GlobalOrConstant> {
        let storage = qualifiers.storage.0;
        let (ret, lookup) = match storage {
            StorageQualifier::Input | StorageQualifier::Output => {
                let input = storage == StorageQualifier::Input;
                // TODO: glslang seems to use a counter for variables without
                // explicit location (even if that causes collisions)
                let location = qualifiers
                    .uint_layout_qualifier("location", &mut self.errors)
                    .unwrap_or(0);
                let interpolation = qualifiers.interpolation.take().map(|(i, _)| i).or_else(|| {
                    let kind = self.module.types[ty].inner.scalar_kind()?;
                    Some(match kind {
                        ScalarKind::Float => Interpolation::Perspective,
                        _ => Interpolation::Flat,
                    })
                });
                let sampling = qualifiers.sampling.take().map(|(s, _)| s);

                let handle = self.module.global_variables.append(
                    GlobalVariable {
                        name: name.clone(),
                        space: AddressSpace::Private,
                        binding: None,
                        ty,
                        init,
                    },
                    meta,
                );

                let idx = self.entry_args.len();
                self.entry_args.push(EntryArg {
                    name: name.clone(),
                    binding: Binding::Location {
                        location,
                        interpolation,
                        sampling,
                    },
                    handle,
                    storage,
                });

                let lookup = GlobalLookup {
                    kind: GlobalLookupKind::Variable(handle),
                    entry_arg: Some(idx),
                    mutable: !input,
                };

                (GlobalOrConstant::Global(handle), lookup)
            }
            StorageQualifier::Const => {
                let init = init.ok_or_else(|| Error {
                    kind: ErrorKind::SemanticError("const values must have an initializer".into()),
                    meta,
                })?;

                let lookup = GlobalLookup {
                    kind: GlobalLookupKind::Constant(init, ty),
                    entry_arg: None,
                    mutable: false,
                };

                (GlobalOrConstant::Constant(init), lookup)
            }
            StorageQualifier::AddressSpace(mut space) => {
                match space {
                    AddressSpace::Storage { ref mut access } => {
                        if let Some((allowed_access, _)) = qualifiers.storage_access.take() {
                            *access = allowed_access;
                        }
                    }
                    AddressSpace::Uniform => match self.module.types[ty].inner {
                        TypeInner::Image {
                            class,
                            dim,
                            arrayed,
                        } => {
                            if let crate::ImageClass::Storage {
                                mut access,
                                mut format,
                            } = class
                            {
                                if let Some((allowed_access, _)) = qualifiers.storage_access.take()
                                {
                                    access = allowed_access;
                                }

                                match qualifiers.layout_qualifiers.remove(&QualifierKey::Format) {
                                    Some((QualifierValue::Format(f), _)) => format = f,
                                    // TODO: glsl supports images without format qualifier
                                    // if they are `writeonly`
                                    None => self.errors.push(Error {
                                        kind: ErrorKind::SemanticError(
                                            "image types require a format layout qualifier".into(),
                                        ),
                                        meta,
                                    }),
                                    _ => unreachable!(),
                                }

                                ty = self.module.types.insert(
                                    Type {
                                        name: None,
                                        inner: TypeInner::Image {
                                            dim,
                                            arrayed,
                                            class: crate::ImageClass::Storage { format, access },
                                        },
                                    },
                                    meta,
                                );
                            }

                            space = AddressSpace::Handle
                        }
                        TypeInner::Sampler { .. } => space = AddressSpace::Handle,
                        _ => {
                            if qualifiers.none_layout_qualifier("push_constant", &mut self.errors) {
                                space = AddressSpace::PushConstant
                            }
                        }
                    },
                    AddressSpace::Function => space = AddressSpace::Private,
                    _ => {}
                };

                let binding = match space {
                    AddressSpace::Uniform | AddressSpace::Storage { .. } | AddressSpace::Handle => {
                        let binding = qualifiers.uint_layout_qualifier("binding", &mut self.errors);
                        if binding.is_none() {
                            self.errors.push(Error {
                                kind: ErrorKind::SemanticError(
                                    "uniform/buffer blocks require layout(binding=X)".into(),
                                ),
                                meta,
                            });
                        }
                        let set = qualifiers.uint_layout_qualifier("set", &mut self.errors);
                        binding.map(|binding| ResourceBinding {
                            group: set.unwrap_or(0),
                            binding,
                        })
                    }
                    _ => None,
                };

                let handle = self.module.global_variables.append(
                    GlobalVariable {
                        name: name.clone(),
                        space,
                        binding,
                        ty,
                        init,
                    },
                    meta,
                );

                let lookup = GlobalLookup {
                    kind: GlobalLookupKind::Variable(handle),
                    entry_arg: None,
                    mutable: true,
                };

                (GlobalOrConstant::Global(handle), lookup)
            }
        };

        if let Some(name) = name {
            ctx.add_global(self, &name, lookup, body);

            self.global_variables.push((name, lookup));
        }

        qualifiers.unused_errors(&mut self.errors);

        Ok(ret)
    }

    pub(crate) fn add_local_var(
        &mut self,
        ctx: &mut Context,
        body: &mut Block,
        decl: VarDeclaration,
    ) -> Result<Handle<Expression>> {
        let storage = decl.qualifiers.storage;
        let mutable = match storage.0 {
            StorageQualifier::AddressSpace(AddressSpace::Function) => true,
            StorageQualifier::Const => false,
            _ => {
                self.errors.push(Error {
                    kind: ErrorKind::SemanticError("Locals cannot have a storage qualifier".into()),
                    meta: storage.1,
                });
                true
            }
        };

        let handle = ctx.locals.append(
            LocalVariable {
                name: decl.name.clone(),
                ty: decl.ty,
                init: None,
            },
            decl.meta,
        );
        let expr = ctx.add_expression(Expression::LocalVariable(handle), decl.meta, body);

        if let Some(name) = decl.name {
            let maybe_var = ctx.add_local_var(name.clone(), expr, mutable);

            if maybe_var.is_some() {
                self.errors.push(Error {
                    kind: ErrorKind::VariableAlreadyDeclared(name),
                    meta: decl.meta,
                })
            }
        }

        decl.qualifiers.unused_errors(&mut self.errors);

        Ok(expr)
    }
}


================================================
FILE: lib/naga/src/front/interpolator.rs
================================================
/*!
Interpolation defaults.
*/

impl crate::Binding {
    /// Apply the usual default interpolation for `ty` to `binding`.
    ///
    /// This function is a utility front ends may use to satisfy the Naga IR's
    /// requirement, meant to ensure that input languages' policies have been
    /// applied appropriately, that all I/O `Binding`s from the vertex shader to the
    /// fragment shader must have non-`None` `interpolation` values.
    ///
    /// All the shader languages Naga supports have similar rules:
    /// perspective-correct, center-sampled interpolation is the default for any
    /// binding that can vary, and everything else either defaults to flat, or
    /// requires an explicit flat qualifier/attribute/what-have-you.
    ///
    /// If `binding` is not a [`Location`] binding, or if its [`interpolation`] is
    /// already set, then make no changes. Otherwise, set `binding`'s interpolation
    /// and sampling to reasonable defaults depending on `ty`, the type of the value
    /// being interpolated:
    ///
    /// - If `ty` is a floating-point scalar, vector, or matrix type, then
    ///   default to [`Perspective`] interpolation and [`Center`] sampling.
    ///
    /// - If `ty` is an integral scalar or vector, then default to [`Flat`]
    ///   interpolation, which has no associated sampling.
    ///
    /// - For any other types, make no change. Such types are not permitted as
    ///   user-defined IO values, and will probably be flagged by the verifier
    ///
    /// When structs appear in input or output types, each member ought to have its
    /// own [`Binding`], so structs are simply covered by the third case.
    ///
    /// [`Binding`]: crate::Binding
    /// [`Location`]: crate::Binding::Location
    /// [`interpolation`]: crate::Binding::Location::interpolation
    /// [`Perspective`]: crate::Interpolation::Perspective
    /// [`Flat`]: crate::Interpolation::Flat
    /// [`Center`]: crate::Sampling::Center
    pub fn apply_default_interpolation(&mut self, ty: &crate::TypeInner) {
        if let crate::Binding::Location {
            location: _,
            interpolation: ref mut interpolation @ None,
            ref mut sampling,
        } = *self
        {
            match ty.scalar_kind() {
                Some(crate::ScalarKind::Float) => {
                    *interpolation = Some(crate::Interpolation::Perspective);
                    *sampling = Some(crate::Sampling::Center);
                }
                Some(crate::ScalarKind::Sint | crate::ScalarKind::Uint) => {
                    *interpolation = Some(crate::Interpolation::Flat);
                    *sampling = None;
                }
                Some(_) | None => {}
            }
        }
    }
}


================================================
FILE: lib/naga/src/front/mod.rs
================================================
/*!
Frontend parsers that consume binary and text shaders and load them into [`Module`](super::Module)s.
*/

mod interpolator;

#[cfg(feature = "glsl-in")]
pub mod glsl;
#[cfg(feature = "spv-in")]
pub mod spv;
#[cfg(feature = "wgsl-in")]
pub mod wgsl;

use crate::{
    arena::{Arena, Handle, UniqueArena},
    proc::{ResolveContext, ResolveError, TypeResolution},
    FastHashMap,
};
use std::ops;

/// Helper class to emit expressions
#[allow(dead_code)]
#[derive(Default, Debug)]
struct Emitter {
    start_len: Option<usize>,
}

#[allow(dead_code)]
impl Emitter {
    fn start(&mut self, arena: &Arena<crate::Expression>) {
        if self.start_len.is_some() {
            unreachable!("Emitting has already started!");
        }
        self.start_len = Some(arena.len());
    }
    #[must_use]
    fn finish(
        &mut self,
        arena: &Arena<crate::Expression>,
    ) -> Option<(crate::Statement, crate::span::Span)> {
        let start_len = self.start_len.take().unwrap();
        if start_len != arena.len() {
            #[allow(unused_mut)]
            let mut span = crate::span::Span::default();
            let range = arena.range_from(start_len);
            #[cfg(feature = "span")]
            for handle in range.clone() {
                span.subsume(arena.get_span(handle))
            }
            Some((crate::Statement::Emit(range), span))
        } else {
            None
        }
    }
}

#[allow(dead_code)]
impl super::ConstantInner {
    const fn boolean(value: bool) -> Self {
        Self::Scalar {
            width: super::BOOL_WIDTH,
            value: super::ScalarValue::Bool(value),
        }
    }
}

/// Helper processor that derives the types of all expressions.
#[derive(Debug, Default)]
pub struct Typifier {
    resolutions: Vec<TypeResolution>,
}

impl Typifier {
    pub const fn new() -> Self {
        Typifier {
            resolutions: Vec::new(),
        }
    }

    pub fn reset(&mut self) {
        self.resolutions.clear()
    }

    pub fn get<'a>(
        &'a self,
        expr_handle: Handle<crate::Expression>,
        types: &'a UniqueArena<crate::Type>,
    ) -> &'a crate::TypeInner {
        self.resolutions[expr_handle.index()].inner_with(types)
    }

    pub fn grow(
        &mut self,
        expr_handle: Handle<crate::Expression>,
        expressions: &Arena<crate::Expression>,
        ctx: &ResolveContext,
    ) -> Result<(), ResolveError> {
        if self.resolutions.len() <= expr_handle.index() {
            for (eh, expr) in expressions.iter().skip(self.resolutions.len()) {
                //Note: the closure can't `Err` by construction
                let resolution = ctx.resolve(expr, |h| Ok(&self.resolutions[h.index()]))?;
                log::debug!("Resolving {:?} = {:?} : {:?}", eh, expr, resolution);
                self.resolutions.push(resolution);
            }
        }
        Ok(())
    }

    /// Invalidates the cached type resolution for `expr_handle` forcing a recomputation
    ///
    /// If the type of the expression hasn't yet been calculated a
    /// [`grow`](Self::grow) is performed instead
    pub fn invalidate(
        &mut self,
        expr_handle: Handle<crate::Expression>,
        expressions: &Arena<crate::Expression>,
        ctx: &ResolveContext,
    ) -> Result<(), ResolveError> {
        if self.resolutions.len() <= expr_handle.index() {
            self.grow(expr_handle, expressions, ctx)
        } else {
            let expr = &expressions[expr_handle];
            //Note: the closure can't `Err` by construction
            let resolution = ctx.resolve(expr, |h| Ok(&self.resolutions[h.index()]))?;
            self.resolutions[expr_handle.index()] = resolution;
            Ok(())
        }
    }
}

impl ops::Index<Handle<crate::Expression>> for Typifier {
    type Output = TypeResolution;
    fn index(&self, handle: Handle<crate::Expression>) -> &Self::Output {
        &self.resolutions[handle.index()]
    }
}

/// Type representing a lexical scope, associating a name to a single variable
///
/// The scope is generic over the variable representation and name representaion
/// in order to allow larger flexibility on the frontends on how they might
/// represent them.
type Scope<Name, Var> = FastHashMap<Name, Var>;

/// Structure responsible for managing variable lookups and keeping track of
/// lexical scopes
///
/// The symbol table is generic over the variable representation and its name
/// to allow larger flexibility on the frontends on how they might represent them.
///
/// ```
/// use naga::front::SymbolTable;
///
/// // Create a new symbol table with `u32`s representing the variable
/// let mut symbol_table: SymbolTable<&str, u32> = SymbolTable::default();
///
/// // Add two variables named `var1` and `var2` with 0 and 2 respectively
/// symbol_table.add("var1", 0);
/// symbol_table.add("var2", 2);
///
/// // Check that `var1` exists and is `0`
/// assert_eq!(symbol_table.lookup("var1"), Some(&0));
///
/// // Push a new scope and add a variable to it named `var1` shadowing the
/// // variable of our previous scope
/// symbol_table.push_scope();
/// symbol_table.add("var1", 1);
///
/// // Check that `var1` now points to the new value of `1` and `var2` still
/// // exists with its value of `2`
/// assert_eq!(symbol_table.lookup("var1"), Some(&1));
/// assert_eq!(symbol_table.lookup("var2"), Some(&2));
///
/// // Pop the scope
/// symbol_table.pop_scope();
///
/// // Check that `var1` now refers to our initial variable with value `0`
/// assert_eq!(symbol_table.lookup("var1"), Some(&0));
/// ```
///
/// Scopes are ordered as a LIFO stack so a variable defined in a later scope
/// with the same name as another variable defined in a earlier scope will take
/// precedence in the lookup. Scopes can be added with [`push_scope`] and
/// removed with [`pop_scope`].
///
/// A root scope is added when the symbol table is created and must always be
/// present. Trying to pop it will result in a panic.
///
/// Variables can be added with [`add`] and looked up with [`lookup`]. Adding a
/// variable will do so in the currently active scope and as mentioned
/// previously a lookup will search from the current scope to the root scope.
///
/// [`push_scope`]: Self::push_scope
/// [`pop_scope`]: Self::push_scope
/// [`add`]: Self::add
/// [`lookup`]: Self::lookup
pub struct SymbolTable<Name, Var> {
    /// Stack of lexical scopes. Not all scopes are active; see [`cursor`].
    ///
    /// [`cursor`]: Self::cursor
    scopes: Vec<Scope<Name, Var>>,
    /// Limit of the [`scopes`] stack (exclusive). By using a separate value for
    /// the stack length instead of `Vec`'s own internal length, the scopes can
    /// be reused to cache memory allocations.
    ///
    /// [`scopes`]: Self::scopes
    cursor: usize,
}

impl<Name, Var> SymbolTable<Name, Var> {
    /// Adds a new lexical scope.
    ///
    /// All variables declared after this point will be added to this scope
    /// until another scope is pushed or [`pop_scope`] is called, causing this
    /// scope to be removed along with all variables added to it.
    ///
    /// [`pop_scope`]: Self::pop_scope
    pub fn push_scope(&mut self) {
        // If the cursor is equal to the scope's stack length then we need to
        // push another empty scope. Otherwise we can reuse the already existing
        // scope.
        if self.scopes.len() == self.cursor {
            self.scopes.push(FastHashMap::default())
        } else {
            self.scopes[self.cursor].clear();
        }

        self.cursor += 1;
    }

    /// Removes the current lexical scope and all its variables
    ///
    /// # PANICS
    /// - If the current lexical scope is the root scope
    pub fn pop_scope(&mut self) {
        // Despite the method title, the variables are only deleted when the
        // scope is reused. This is because while a clear is inevitable if the
        // scope needs to be reused, there are cases where the scope might be
        // popped and not reused, i.e. if another scope with the same nesting
        // level is never pushed again.
        assert!(self.cursor != 1, "Tried to pop the root scope");

        self.cursor -= 1;
    }
}

impl<Name, Var> SymbolTable<Name, Var>
where
    Name: std::hash::Hash + Eq,
{
    /// Perform a lookup for a variable named `name`.
    ///
    /// As stated in the struct level documentation the lookup will proceed from
    /// the current scope to the root scope, returning `Some` when a variable is
    /// found or `None` if there doesn't exist a variable with `name` in any
    /// scope.
    pub fn lookup<Q: ?Sized>(&self, name: &Q) -> Option<&Var>
    where
        Name: std::borrow::Borrow<Q>,
        Q: std::hash::Hash + Eq,
    {
        // Iterate backwards trough the scopes and try to find the variable
        for scope in self.scopes[..self.cursor].iter().rev() {
            if let Some(var) = scope.get(name) {
                return Some(var);
            }
        }

        None
    }

    /// Adds a new variable to the current scope.
    ///
    /// Returns the previous variable with the same name in this scope if it
    /// exists, so that the frontend might handle it in case variable shadowing
    /// is disallowed.
    pub fn add(&mut self, name: Name, var: Var) -> Option<Var> {
        self.scopes[self.cursor - 1].insert(name, var)
    }

    /// Adds a new variable to the root scope.
    ///
    /// This is used in GLSL for builtins which aren't known in advance and only
    /// when used for the first time, so there must be a way to add those
    /// declarations to the root unconditionally from the current scope.
    ///
    /// Returns the previous variable with the same name in the root scope if it
    /// exists, so that the frontend might handle it in case variable shadowing
    /// is disallowed.
    pub fn add_root(&mut self, name: Name, var: Var) -> Option<Var> {
        self.scopes[0].insert(name, var)
    }
}

impl<Name, Var> Default for SymbolTable<Name, Var> {
    /// Constructs a new symbol table with a root scope
    fn default() -> Self {
        Self {
            scopes: vec![FastHashMap::default()],
            cursor: 1,
        }
    }
}

use std::fmt;

impl<Name: fmt::Debug, Var: fmt::Debug> fmt::Debug for SymbolTable<Name, Var> {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.write_str("SymbolTable ")?;
        f.debug_list()
            .entries(self.scopes[..self.cursor].iter())
            .finish()
    }
}


================================================
FILE: lib/naga/src/front/spv/convert.rs
================================================
use super::error::Error;
use num_traits::cast::FromPrimitive;
use std::convert::TryInto;

pub(super) const fn map_binary_operator(word: spirv::Op) -> Result<crate::BinaryOperator, Error> {
    use crate::BinaryOperator;
    use spirv::Op;

    match word {
        // Arithmetic Instructions +, -, *, /, %
        Op::IAdd | Op::FAdd => Ok(BinaryOperator::Add),
        Op::ISub | Op::FSub => Ok(BinaryOperator::Subtract),
        Op::IMul | Op::FMul => Ok(BinaryOperator::Multiply),
        Op::UDiv | Op::SDiv | Op::FDiv => Ok(BinaryOperator::Divide),
        Op::SRem => Ok(BinaryOperator::Modulo),
        // Relational and Logical Instructions
        Op::IEqual | Op::FOrdEqual | Op::FUnordEqual | Op::LogicalEqual => {
            Ok(BinaryOperator::Equal)
        }
        Op::INotEqual | Op::FOrdNotEqual | Op::FUnordNotEqual | Op::LogicalNotEqual => {
            Ok(BinaryOperator::NotEqual)
        }
        Op::ULessThan | Op::SLessThan | Op::FOrdLessThan | Op::FUnordLessThan => {
            Ok(BinaryOperator::Less)
        }
        Op::ULessThanEqual
        | Op::SLessThanEqual
        | Op::FOrdLessThanEqual
        | Op::FUnordLessThanEqual => Ok(BinaryOperator::LessEqual),
        Op::UGreaterThan | Op::SGreaterThan | Op::FOrdGreaterThan | Op::FUnordGreaterThan => {
            Ok(BinaryOperator::Greater)
        }
        Op::UGreaterThanEqual
        | Op::SGreaterThanEqual
        | Op::FOrdGreaterThanEqual
        | Op::FUnordGreaterThanEqual => Ok(BinaryOperator::GreaterEqual),
        Op::BitwiseOr => Ok(BinaryOperator::InclusiveOr),
        Op::BitwiseXor => Ok(BinaryOperator::ExclusiveOr),
        Op::BitwiseAnd => Ok(BinaryOperator::And),
        _ => Err(Error::UnknownBinaryOperator(word)),
    }
}

pub(super) const fn map_relational_fun(
    word: spirv::Op,
) -> Result<crate::RelationalFunction, Error> {
    use crate::RelationalFunction as Rf;
    use spirv::Op;

    match word {
        Op::All => Ok(Rf::All),
        Op::Any => Ok(Rf::Any),
        Op::IsNan => Ok(Rf::IsNan),
        Op::IsInf => Ok(Rf::IsInf),
        Op::IsFinite => Ok(Rf::IsFinite),
        Op::IsNormal => Ok(Rf::IsNormal),
        _ => Err(Error::UnknownRelationalFunction(word)),
    }
}

pub(super) const fn map_vector_size(word: spirv::Word) -> Result<crate::VectorSize, Error> {
    match word {
        2 => Ok(crate::VectorSize::Bi),
        3 => Ok(crate::VectorSize::Tri),
        4 => Ok(crate::VectorSize::Quad),
        _ => Err(Error::InvalidVectorSize(word)),
    }
}

pub(super) fn map_image_dim(word: spirv::Word) -> Result<crate::ImageDimension, Error> {
    use spirv::Dim as D;
    match D::from_u32(word) {
        Some(D::Dim1D) => Ok(crate::ImageDimension::D1),
        Some(D::Dim2D) => Ok(crate::ImageDimension::D2),
        Some(D::Dim3D) => Ok(crate::ImageDimension::D3),
        Some(D::DimCube) => Ok(crate::ImageDimension::Cube),
        _ => Err(Error::UnsupportedImageDim(word)),
    }
}

pub(super) fn map_image_format(word: spirv::Word) -> Result<crate::StorageFormat, Error> {
    match spirv::ImageFormat::from_u32(word) {
        Some(spirv::ImageFormat::R8) => Ok(crate::StorageFormat::R8Unorm),
        Some(spirv::ImageFormat::R8Snorm) => Ok(crate::StorageFormat::R8Snorm),
        Some(spirv::ImageFormat::R8ui) => Ok(crate::StorageFormat::R8Uint),
        Some(spirv::ImageFormat::R8i) => Ok(crate::StorageFormat::R8Sint),
        Some(spirv::ImageFormat::R16ui) => Ok(crate::StorageFormat::R16Uint),
        Some(spirv::ImageFormat::R16i) => Ok(crate::StorageFormat::R16Sint),
        Some(spirv::ImageFormat::R16f) => Ok(crate::StorageFormat::R16Float),
        Some(spirv::ImageFormat::Rg8) => Ok(crate::StorageFormat::Rg8Unorm),
        Some(spirv::ImageFormat::Rg8Snorm) => Ok(crate::StorageFormat::Rg8Snorm),
        Some(spirv::ImageFormat::Rg8ui) => Ok(crate::StorageFormat::Rg8Uint),
        Some(spirv::ImageFormat::Rg8i) => Ok(crate::StorageFormat::Rg8Sint),
        Some(spirv::ImageFormat::R32ui) => Ok(crate::StorageFormat::R32Uint),
        Some(spirv::ImageFormat::R32i) => Ok(crate::StorageFormat::R32Sint),
        Some(spirv::ImageFormat::R32f) => Ok(crate::StorageFormat::R32Float),
        Some(spirv::ImageFormat::Rg16ui) => Ok(crate::StorageFormat::Rg16Uint),
        Some(spirv::ImageFormat::Rg16i) => Ok(crate::StorageFormat::Rg16Sint),
        Some(spirv::ImageFormat::Rg16f) => Ok(crate::StorageFormat::Rg16Float),
        Some(spirv::ImageFormat::Rgba8) => Ok(crate::StorageFormat::Rgba8Unorm),
        Some(spirv::ImageFormat::Rgba8Snorm) => Ok(crate::StorageFormat::Rgba8Snorm),
        Some(spirv::ImageFormat::Rgba8ui) => Ok(crate::StorageFormat::Rgba8Uint),
        Some(spirv::ImageFormat::Rgba8i) => Ok(crate::StorageFormat::Rgba8Sint),
        Some(spirv::ImageFormat::Rgb10a2ui) => Ok(crate::StorageFormat::Rgb10a2Unorm),
        Some(spirv::ImageFormat::R11fG11fB10f) => Ok(crate::StorageFormat::Rg11b10Float),
        Some(spirv::ImageFormat::Rg32ui) => Ok(crate::StorageFormat::Rg32Uint),
        Some(spirv::ImageFormat::Rg32i) => Ok(crate::StorageFormat::Rg32Sint),
        Some(spirv::ImageFormat::Rg32f) => Ok(crate::StorageFormat::Rg32Float),
        Some(spirv::ImageFormat::Rgba16ui) => Ok(crate::StorageFormat::Rgba16Uint),
        Some(spirv::ImageFormat::Rgba16i) => Ok(crate::StorageFormat::Rgba16Sint),
        Some(spirv::ImageFormat::Rgba16f) => Ok(crate::StorageFormat::Rgba16Float),
        Some(spirv::ImageFormat::Rgba32ui) => Ok(crate::StorageFormat::Rgba32Uint),
        Some(spirv::ImageFormat::Rgba32i) => Ok(crate::StorageFormat::Rgba32Sint),
        Some(spirv::ImageFormat::Rgba32f) => Ok(crate::StorageFormat::Rgba32Float),
        _ => Err(Error::UnsupportedImageFormat(word)),
    }
}

pub(super) fn map_width(word: spirv::Word) -> Result<crate::Bytes, Error> {
    (word >> 3) // bits to bytes
        .try_into()
        .map_err(|_| Error::InvalidTypeWidth(word))
}

pub(super) fn map_builtin(word: spirv::Word, invariant: bool) -> Result<crate::BuiltIn, Error> {
    use spirv::BuiltIn as Bi;
    Ok(match spirv::BuiltIn::from_u32(word) {
        Some(Bi::Position | Bi::FragCoord) => crate::BuiltIn::Position { invariant },
        Some(Bi::ViewIndex) => crate::BuiltIn::ViewIndex,
        // vertex
        Some(Bi::BaseInstance) => crate::BuiltIn::BaseInstance,
        Some(Bi::BaseVertex) => crate::BuiltIn::BaseVertex,
        Some(Bi::ClipDistance) => crate::BuiltIn::ClipDistance,
        Some(Bi::CullDistance) => crate::BuiltIn::CullDistance,
        Some(Bi::InstanceIndex) => crate::BuiltIn::InstanceIndex,
        Some(Bi::PointSize) => crate::BuiltIn::PointSize,
        Some(Bi::VertexIndex) => crate::BuiltIn::VertexIndex,
        // fragment
        Some(Bi::FragDepth) => crate::BuiltIn::FragDepth,
        Some(Bi::FrontFacing) => crate::BuiltIn::FrontFacing,
        Some(Bi::PrimitiveId) => crate::BuiltIn::PrimitiveIndex,
        Some(Bi::SampleId) => crate::BuiltIn::SampleIndex,
        Some(Bi::SampleMask) => crate::BuiltIn::SampleMask,
        // compute
        Some(Bi::GlobalInvocationId) => crate::BuiltIn::GlobalInvocationId,
        Some(Bi::LocalInvocationId) => crate::BuiltIn::LocalInvocationId,
        Some(Bi::LocalInvocationIndex) => crate::BuiltIn::LocalInvocationIndex,
        Some(Bi::WorkgroupId) => crate::BuiltIn::WorkGroupId,
        Some(Bi::WorkgroupSize) => crate::BuiltIn::WorkGroupSize,
        Some(Bi::NumWorkgroups) => crate::BuiltIn::NumWorkGroups,
        _ => return Err(Error::UnsupportedBuiltIn(word)),
    })
}

pub(super) fn map_storage_class(word: spirv::Word) -> Result<super::ExtendedClass, Error> {
    use super::ExtendedClass as Ec;
    use spirv::StorageClass as Sc;
    Ok(match Sc::from_u32(word) {
        Some(Sc::Function) => Ec::Global(crate::AddressSpace::Function),
        Some(Sc::Input) => Ec::Input,
        Some(Sc::Output) => Ec::Output,
        Some(Sc::Private) => Ec::Global(crate::AddressSpace::Private),
        Some(Sc::UniformConstant) => Ec::Global(crate::AddressSpace::Handle),
        Some(Sc::StorageBuffer) => Ec::Global(crate::AddressSpace::Storage {
            //Note: this is restricted by decorations later
            access: crate::StorageAccess::all(),
        }),
        // we expect the `Storage` case to be filtered out before calling this function.
        Some(Sc::Uniform) => Ec::Global(crate::AddressSpace::Uniform),
        Some(Sc::Workgroup) => Ec::Global(crate::AddressSpace::WorkGroup),
        Some(Sc::PushConstant) => Ec::Global(crate::AddressSpace::PushConstant),
        _ => return Err(Error::UnsupportedStorageClass(word)),
    })
}


================================================
FILE: lib/naga/src/front/spv/error.rs
================================================
use super::ModuleState;
use crate::arena::Handle;

#[derive(Debug, thiserror::Error)]
pub enum Error {
    #[error("invalid header")]
    InvalidHeader,
    #[error("invalid word count")]
    InvalidWordCount,
    #[error("unknown instruction {0}")]
    UnknownInstruction(u16),
    #[error("unknown capability %{0}")]
    UnknownCapability(spirv::Word),
    #[error("unsupported instruction {1:?} at {0:?}")]
    UnsupportedInstruction(ModuleState, spirv::Op),
    #[error("unsupported capability {0:?}")]
    UnsupportedCapability(spirv::Capability),
    #[error("unsupported extension {0}")]
    UnsupportedExtension(String),
    #[error("unsupported extension set {0}")]
    UnsupportedExtSet(String),
    #[error("unsupported extension instantiation set %{0}")]
    UnsupportedExtInstSet(spirv::Word),
    #[error("unsupported extension instantiation %{0}")]
    UnsupportedExtInst(spirv::Word),
    #[error("unsupported type {0:?}")]
    UnsupportedType(Handle<crate::Type>),
    #[error("unsupported execution model %{0}")]
    UnsupportedExecutionModel(spirv::Word),
    #[error("unsupported execution mode %{0}")]
    UnsupportedExecutionMode(spirv::Word),
    #[error("unsupported storage class %{0}")]
    UnsupportedStorageClass(spirv::Word),
    #[error("unsupported image dimension %{0}")]
    UnsupportedImageDim(spirv::Word),
    #[error("unsupported image format %{0}")]
    UnsupportedImageFormat(spirv::Word),
    #[error("unsupported builtin %{0}")]
    UnsupportedBuiltIn(spirv::Word),
    #[error("unsupported control flow %{0}")]
    UnsupportedControlFlow(spirv::Word),
    #[error("unsupported binary operator %{0}")]
    UnsupportedBinaryOperator(spirv::Word),
    #[error("Naga supports OpTypeRuntimeArray in the StorageBuffer storage class only")]
    UnsupportedRuntimeArrayStorageClass,
    #[error("unsupported matrix stride {stride} for a {columns}x{rows} matrix with scalar width={width}")]
    UnsupportedMatrixStride {
        stride: u32,
        columns: u8,
        rows: u8,
        width: u8,
    },
    #[error("unknown binary operator {0:?}")]
    UnknownBinaryOperator(spirv::Op),
    #[error("unknown relational function {0:?}")]
    UnknownRelationalFunction(spirv::Op),
    #[error("invalid parameter {0:?}")]
    InvalidParameter(spirv::Op),
    #[error("invalid operand count {1} for {0:?}")]
    InvalidOperandCount(spirv::Op, u16),
    #[error("invalid operand")]
    InvalidOperand,
    #[error("invalid id %{0}")]
    InvalidId(spirv::Word),
    #[error("invalid decoration %{0}")]
    InvalidDecoration(spirv::Word),
    #[error("invalid type width %{0}")]
    InvalidTypeWidth(spirv::Word),
    #[error("invalid sign %{0}")]
    InvalidSign(spirv::Word),
    #[error("invalid inner type %{0}")]
    InvalidInnerType(spirv::Word),
    #[error("invalid vector size %{0}")]
    InvalidVectorSize(spirv::Word),
    #[error("invalid access type %{0}")]
    InvalidAccessType(spirv::Word),
    #[error("invalid access {0:?}")]
    InvalidAccess(crate::Expression),
    #[error("invalid access index %{0}")]
    InvalidAccessIndex(spirv::Word),
    #[error("invalid binding %{0}")]
    InvalidBinding(spirv::Word),
    #[error("invalid global var {0:?}")]
    InvalidGlobalVar(crate::Expression),
    #[error("invalid image/sampler expression {0:?}")]
    InvalidImageExpression(crate::Expression),
    #[error("invalid image base type {0:?}")]
    InvalidImageBaseType(Handle<crate::Type>),
    #[error("invalid image {0:?}")]
    InvalidImage(Handle<crate::Type>),
    #[error("invalid as type {0:?}")]
    InvalidAsType(Handle<crate::Type>),
    #[error("invalid vector type {0:?}")]
    InvalidVectorType(Handle<crate::Type>),
    #[error("inconsistent comparison sampling {0:?}")]
    InconsistentComparisonSampling(Handle<crate::GlobalVariable>),
    #[error("wrong function result type %{0}")]
    WrongFunctionResultType(spirv::Word),
    #[error("wrong function argument type %{0}")]
    WrongFunctionArgumentType(spirv::Word),
    #[error("missing decoration {0:?}")]
    MissingDecoration(spirv::Decoration),
    #[error("bad string")]
    BadString,
    #[error("incomplete data")]
    IncompleteData,
    #[error("invalid terminator")]
    InvalidTerminator,
    #[error("invalid edge classification")]
    InvalidEdgeClassification,
    #[error("cycle detected in the CFG during traversal at {0}")]
    ControlFlowGraphCycle(crate::front::spv::BlockId),
    #[error("recursive function call %{0}")]
    FunctionCallCycle(spirv::Word),
    #[error("invalid array size {0:?}")]
    InvalidArraySize(Handle<crate::Constant>),
    #[error("invalid barrier scope %{0}")]
    InvalidBarrierScope(spirv::Word),
    #[error("invalid barrier memory semantics %{0}")]
    InvalidBarrierMemorySemantics(spirv::Word),
    // incomplete implementation errors
}


================================================
FILE: lib/naga/src/front/spv/function.rs
================================================
use crate::{
    arena::{Arena, Handle},
    front::spv::{BlockContext, BodyIndex},
};

use super::{Error, Instruction, LookupExpression, LookupHelper as _};
use crate::front::Emitter;

pub type BlockId = u32;

#[derive(Copy, Clone, Debug)]
pub struct MergeInstruction {
    pub merge_block_id: BlockId,
    pub continue_block_id: Option<BlockId>,
}

impl<I: Iterator<Item = u32>> super::Parser<I> {
    // Registers a function call. It will generate a dummy handle to call, which
    // gets resolved after all the functions are processed.
    pub(super) fn add_call(
        &mut self,
        from: spirv::Word,
        to: spirv::Word,
    ) -> Handle<crate::Function> {
        let dummy_handle = self
            .dummy_functions
            .append(crate::Function::default(), Default::default());
        self.deferred_function_calls.push(to);
        self.function_call_graph.add_edge(from, to, ());
        dummy_handle
    }

    pub(super) fn parse_function(&mut self, module: &mut crate::Module) -> Result<(), Error> {
        let start = self.data_offset;
        self.lookup_expression.clear();
        self.lookup_load_override.clear();
        self.lookup_sampled_image.clear();

        let result_type_id = self.next()?;
        let fun_id = self.next()?;
        let _fun_control = self.next()?;
        let fun_type_id = self.next()?;

        let mut fun = {
            let ft = self.lookup_function_type.lookup(fun_type_id)?;
            if ft.return_type_id != result_type_id {
                return Err(Error::WrongFunctionResultType(result_type_id));
            }
            crate::Function {
                name: self.future_decor.remove(&fun_id).and_then(|dec| dec.name),
                arguments: Vec::with_capacity(ft.parameter_type_ids.len()),
                result: if self.lookup_void_type == Some(result_type_id) {
                    None
                } else {
                    let lookup_result_ty = self.lookup_type.lookup(result_type_id)?;
                    Some(crate::FunctionResult {
                        ty: lookup_result_ty.handle,
                        binding: None,
                    })
                },
                local_variables: Arena::new(),
                expressions: self
                    .make_expression_storage(&module.global_variables, &module.constants),
                named_expressions: crate::FastHashMap::default(),
                body: crate::Block::new(),
            }
        };

        // read parameters
        for i in 0..fun.arguments.capacity() {
            let start = self.data_offset;
            match self.next_inst()? {
                Instruction {
                    op: spirv::Op::FunctionParameter,
                    wc: 3,
                } => {
                    let type_id = self.next()?;
                    let id = self.next()?;
                    let handle = fun.expressions.append(
                        crate::Expression::FunctionArgument(i as u32),
                        self.span_from(start),
                    );
                    self.lookup_expression.insert(
                        id,
                        LookupExpression {
                            handle,
                            type_id,
                            // Setting this to an invalid id will cause get_expr_handle
                            // to default to the main body making sure no load/stores
                            // are added.
                            block_id: 0,
                        },
                    );
                    //Note: we redo the lookup in order to work around `self` borrowing

                    if type_id
                        != self
                            .lookup_function_type
                            .lookup(fun_type_id)?
                            .parameter_type_ids[i]
                    {
                        return Err(Error::WrongFunctionArgumentType(type_id));
                    }
                    let ty = self.lookup_type.lookup(type_id)?.handle;
                    let decor = self.future_decor.remove(&id).unwrap_or_default();
                    fun.arguments.push(crate::FunctionArgument {
                        name: decor.name,
                        ty,
                        binding: None,
                    });
                }
                Instruction { op, .. } => return Err(Error::InvalidParameter(op)),
            }
        }

        // Read body
        self.function_call_graph.add_node(fun_id);
        let mut parameters_sampling =
            vec![super::image::SamplingFlags::empty(); fun.arguments.len()];

        let mut block_ctx = BlockContext {
            phis: Default::default(),
            blocks: Default::default(),
            body_for_label: Default::default(),
            mergers: Default::default(),
            bodies: Default::default(),
            function_id: fun_id,
            expressions: &mut fun.expressions,
            local_arena: &mut fun.local_variables,
            const_arena: &mut module.constants,
            type_arena: &module.types,
            global_arena: &module.global_variables,
            arguments: &fun.arguments,
            parameter_sampling: &mut parameters_sampling,
        };
        // Insert the main body whose parent is also himself
        block_ctx.bodies.push(super::Body::with_parent(0));

        // Scan the blocks and add them as nodes
        loop {
            let fun_inst = self.next_inst()?;
            log::debug!("{:?}", fun_inst.op);
            match fun_inst.op {
                spirv::Op::Line => {
                    fun_inst.expect(4)?;
                    let _file_id = self.next()?;
                    let _row_id = self.next()?;
                    let _col_id = self.next()?;
                }
                spirv::Op::Label => {
                    // Read the label ID
                    fun_inst.expect(2)?;
                    let block_id = self.next()?;

                    self.next_block(block_id, &mut block_ctx)?;
                }
                spirv::Op::FunctionEnd => {
                    fun_inst.expect(1)?;
                    break;
                }
                _ => {
                    return Err(Error::UnsupportedInstruction(self.state, fun_inst.op));
                }
            }
        }

        if let Some(ref prefix) = self.options.block_ctx_dump_prefix {
            let dump_suffix = match self.lookup_entry_point.get(&fun_id) {
                Some(ep) => format!("block_ctx.{:?}-{}.txt", ep.stage, ep.name),
                None => format!("block_ctx.Fun-{}.txt", module.functions.len()),
            };
            let dest = prefix.join(dump_suffix);
            let dump = format!("{:#?}", block_ctx);
            if let Err(e) = std::fs::write(&dest, dump) {
                log::error!("Unable to dump the block context into {:?}: {}", dest, e);
            }
        }

        // Emit `Store` statements to properly initialize all the local variables we
        // created for `phi` expressions.
        //
        // Note that get_expr_handle also contributes slightly odd entries to this table,
        // to get the spill.
        for phi in block_ctx.phis.iter() {
            // Get a pointer to the local variable for the phi's value.
            let phi_pointer = block_ctx.expressions.append(
                crate::Expression::LocalVariable(phi.local),
                crate::Span::default(),
            );

            // At the end of each of `phi`'s predecessor blocks, store the corresponding
            // source value in the phi's local variable.
            for &(source, predecessor) in phi.expressions.iter() {
                let source_lexp = &self.lookup_expression[&source];
                let predecessor_body_idx = block_ctx.body_for_label[&predecessor];
                // If the expression is a global/argument it will have a 0 block
                // id so we must use a default value instead of panicking
                let source_body_idx = block_ctx
                    .body_for_label
                    .get(&source_lexp.block_id)
                    .copied()
                    .unwrap_or(0);

                // If the Naga `Expression` generated for `source` is in scope, then we
                // can simply store that in the phi's local variable.
                //
                // Otherwise, spill the source value to a local variable in the block that
                // defines it. (We know this store dominates the predecessor; otherwise,
                // the phi wouldn't have been able to refer to that source expression in
                // the first place.) Then, the predecessor block can count on finding the
                // source's value in that local variable.
                let value = if super::is_parent(predecessor_body_idx, source_body_idx, &block_ctx) {
                    source_lexp.handle
                } else {
                    // The source SPIR-V expression is not defined in the phi's
                    // predecessor block, nor is it a globally available expression. So it
                    // must be defined off in some other block that merely dominates the
                    // predecessor. This means that the corresponding Naga `Expression`
                    // may not be in scope in the predecessor block.
                    //
                    // In the block that defines `source`, spill it to a fresh local
                    // variable, to ensure we can still use it at the end of the
                    // predecessor.
                    let ty = self.lookup_type[&source_lexp.type_id].handle;
                    let local = block_ctx.local_arena.append(
                        crate::LocalVariable {
                            name: None,
                            ty,
                            init: None,
                        },
                        crate::Span::default(),
                    );

                    let pointer = block_ctx.expressions.append(
                        crate::Expression::LocalVariable(local),
                        crate::Span::default(),
                    );

                    // Get the spilled value of the source expression.
                    let start = block_ctx.expressions.len();
                    let expr = block_ctx
                        .expressions
                        .append(crate::Expression::Load { pointer }, crate::Span::default());
                    let range = block_ctx.expressions.range_from(start);

                    block_ctx
                        .blocks
                        .get_mut(&predecessor)
                        .unwrap()
                        .push(crate::Statement::Emit(range), crate::Span::default());

                    // At the end of the block that defines it, spill the source
                    // expression's value.
                    block_ctx
                        .blocks
                        .get_mut(&source_lexp.block_id)
                        .unwrap()
                        .push(
                            crate::Statement::Store {
                                pointer,
                                value: source_lexp.handle,
                            },
                            crate::Span::default(),
                        );

                    expr
                };

                // At the end of the phi predecessor block, store the source
                // value in the phi's value.
                block_ctx.blocks.get_mut(&predecessor).unwrap().push(
                    crate::Statement::Store {
                        pointer: phi_pointer,
                        value,
                    },
                    crate::Span::default(),
                )
            }
        }

        fun.body = block_ctx.lower();

        // done
        let fun_handle = module.functions.append(fun, self.span_from_with_op(start));
        self.lookup_function.insert(
            fun_id,
            super::LookupFunction {
                handle: fun_handle,
                parameters_sampling,
            },
        );

        if let Some(ep) = self.lookup_entry_point.remove(&fun_id) {
            // create a wrapping function
            let mut function = crate::Function {
                name: Some(format!("{}_wrap", ep.name)),
                arguments: Vec::new(),
                result: None,
                local_variables: Arena::new(),
                expressions: Arena::new(),
                named_expressions: crate::FastHashMap::default(),
                body: crate::Block::new(),
            };

            // 1. copy the inputs from arguments to privates
            for &v_id in ep.variable_ids.iter() {
                let lvar = self.lookup_variable.lookup(v_id)?;
                if let super::Variable::Input(ref arg) = lvar.inner {
                    let span = module.global_variables.get_span(lvar.handle);
                    let arg_expr = function.expressions.append(
                        crate::Expression::FunctionArgument(function.arguments.len() as u32),
                        span,
                    );
                    let load_expr = if arg.ty == module.global_variables[lvar.handle].ty {
                        arg_expr
                    } else {
                        // The only case where the type is different is if we need to treat
                        // unsigned integer as signed.
                        let mut emitter = Emitter::default();
                        emitter.start(&function.expressions);
                        let handle = function.expressions.append(
                            crate::Expression::As {
                                expr: arg_expr,
                                kind: crate::ScalarKind::Sint,
                                convert: Some(4),
                            },
                            span,
                        );
                        function.body.extend(emitter.finish(&function.expressions));
                        handle
                    };
                    function.body.push(
                        crate::Statement::Store {
                            pointer: function
                                .expressions
                                .append(crate::Expression::GlobalVariable(lvar.handle), span),
                            value: load_expr,
                        },
                        span,
                    );

                    let mut arg = arg.clone();
                    if ep.stage == crate::ShaderStage::Fragment {
                        if let Some(ref mut binding) = arg.binding {
                            binding.apply_default_interpolation(&module.types[arg.ty].inner);
                        }
                    }
                    function.arguments.push(arg);
                }
            }
            // 2. call the wrapped function
            let fake_id = !(module.entry_points.len() as u32); // doesn't matter, as long as it's not a collision
            let dummy_handle = self.add_call(fake_id, fun_id);
            function.body.push(
                crate::Statement::Call {
                    function: dummy_handle,
                    arguments: Vec::new(),
                    result: None,
                },
                crate::Span::default(),
            );

            // 3. copy the outputs from privates to the result
            let mut members = Vec::new();
            let mut components = Vec::new();
            for &v_id in ep.variable_ids.iter() {
                let lvar = self.lookup_variable.lookup(v_id)?;
                if let super::Variable::Output(ref result) = lvar.inner {
                    let span = module.global_variables.get_span(lvar.handle);
                    let expr_handle = function
                        .expressions
                        .append(crate::Expression::GlobalVariable(lvar.handle), span);
                    match module.types[result.ty].inner {
                        crate::TypeInner::Struct {
                            members: ref sub_members,
                            ..
                        } => {
                            for (index, sm) in sub_members.iter().enumerate() {
                                match sm.binding {
                                    Some(crate::Binding::BuiltIn(built_in)) => {
                                        // Cull unused builtins to preserve performances
                                        if !self.builtin_usage.contains(&built_in) {
                                            continue;
                                        }
                                    }
                                    // unrecognized binding, skip
                                    None => continue,
                                    _ => {}
                                }
                                members.push(sm.clone());
                                components.push(function.expressions.append(
                                    crate::Expression::AccessIndex {
                                        base: expr_handle,
                                        index: index as u32,
                                    },
                                    span,
                                ));
                            }
                        }
                        _ => {
                            members.push(crate::StructMember {
                                name: None,
                                ty: result.ty,
                                binding: result.binding.clone(),
                                offset: 0,
                            });
                            // populate just the globals first, then do `Load` in a
                            // separate step, so that we can get a range.
                            components.push(expr_handle);
                        }
                    }
                }
            }

            for (member_index, member) in members.iter().enumerate() {
                match member.binding {
                    Some(crate::Binding::BuiltIn(crate::BuiltIn::Position { .. }))
                        if self.options.adjust_coordinate_space =>
                    {
                        let mut emitter = Emitter::default();
                        emitter.start(&function.expressions);
                        let global_expr = components[member_index];
                        let span = function.expressions.get_span(global_expr);
                        let access_expr = function.expressions.append(
                            crate::Expression::AccessIndex {
                                base: global_expr,
                                index: 1,
                            },
                            span,
                        );
                        let load_expr = function.expressions.append(
                            crate::Expression::Load {
                                pointer: access_expr,
                            },
                            span,
                        );
                        let neg_expr = function.expressions.append(
                            crate::Expression::Unary {
                                op: crate::UnaryOperator::Negate,
                                expr: load_expr,
                            },
                            span,
                        );
                        function.body.extend(emitter.finish(&function.expressions));
                        function.body.push(
                            crate::Statement::Store {
                                pointer: access_expr,
                                value: neg_expr,
                            },
                            span,
                        );
                    }
                    _ => {}
                }
            }

            let mut emitter = Emitter::default();
            emitter.start(&function.expressions);
            for component in components.iter_mut() {
                let load_expr = crate::Expression::Load {
                    pointer: *component,
                };
                let span = function.expressions.get_span(*component);
                *component = function.expressions.append(load_expr, span);
            }

            match members[..] {
                [] => {}
                [ref member] => {
                    function.body.extend(emitter.finish(&function.expressions));
                    let span = function.expressions.get_span(components[0]);
                    function.body.push(
                        crate::Statement::Return {
                            value: components.first().cloned(),
                        },
                        span,
                    );
                    function.result = Some(crate::FunctionResult {
                        ty: member.ty,
                        binding: member.binding.clone(),
                    });
                }
                _ => {
                    let span = crate::Span::total_span(
                        components.iter().map(|h| function.expressions.get_span(*h)),
                    );
                    let ty = module.types.insert(
                        crate::Type {
                            name: None,
                            inner: crate::TypeInner::Struct {
                                members,
                                span: 0xFFFF, // shouldn't matter
                            },
                        },
                        span,
                    );
                    let result_expr = function
                        .expressions
                        .append(crate::Expression::Compose { ty, components }, span);
                    function.body.extend(emitter.finish(&function.expressions));
                    function.body.push(
                        crate::Statement::Return {
                            value: Some(result_expr),
                        },
                        span,
                    );
                    function.result = Some(crate::FunctionResult { ty, binding: None });
                }
            }

            module.entry_points.push(crate::EntryPoint {
                name: ep.name,
                stage: ep.stage,
                early_depth_test: ep.early_depth_test,
                workgroup_size: ep.workgroup_size,
                function,
            });
        }

        Ok(())
    }
}

impl<'function> BlockContext<'function> {
    /// Consumes the `BlockContext` producing a Ir [`Block`](crate::Block)
    fn lower(mut self) -> crate::Block {
        fn lower_impl(
            blocks: &mut crate::FastHashMap<spirv::Word, crate::Block>,
            bodies: &[super::Body],
            body_idx: BodyIndex,
        ) -> crate::Block {
            let mut block = crate::Block::new();

            for item in bodies[body_idx].data.iter() {
                match *item {
                    super::BodyFragment::BlockId(id) => block.append(blocks.get_mut(&id).unwrap()),
                    super::BodyFragment::If {
                        condition,
                        accept,
                        reject,
                    } => {
                        let accept = lower_impl(blocks, bodies, accept);
                        let reject = lower_impl(blocks, bodies, reject);

                        block.push(
                            crate::Statement::If {
                                condition,
                                accept,
                                reject,
                            },
                            crate::Span::default(),
                        )
                    }
                    super::BodyFragment::Loop { body, continuing } => {
                        let body = lower_impl(blocks, bodies, body);
                        let continuing = lower_impl(blocks, bodies, continuing);

                        block.push(
                            crate::Statement::Loop {
                                body,
                                continuing,
                                break_if: None,
                            },
                            crate::Span::default(),
                        )
                    }
                    super::BodyFragment::Switch {
                        selector,
                        ref cases,
                        default,
                    } => {
                        let mut ir_cases: Vec<_> = cases
                            .iter()
                            .map(|&(value, body_idx)| {
                                let body = lower_impl(blocks, bodies, body_idx);

                                // Handle simple cases that would make a fallthrough statement unreachable code
                                let fall_through = body.last().map_or(true, |s| !s.is_terminator());

                                crate::SwitchCase {
                                    value: crate::SwitchValue::Integer(value),
                                    body,
                                    fall_through,
                                }
                            })
                            .collect();
                        ir_cases.push(crate::SwitchCase {
                            value: crate::SwitchValue::Default,
                            body: lower_impl(blocks, bodies, default),
                            fall_through: false,
                        });

                        block.push(
                            crate::Statement::Switch {
                                selector,
                                cases: ir_cases,
                            },
                            crate::Span::default(),
                        )
                    }
                    super::BodyFragment::Break => {
                        block.push(crate::Statement::Break, crate::Span::default())
                    }
                    super::BodyFragment::Continue => {
                        block.push(crate::Statement::Continue, crate::Span::default())
                    }
                }
            }

            block
        }

        lower_impl(&mut self.blocks, &self.bodies, 0)
    }
}


================================================
FILE: lib/naga/src/front/spv/image.rs
================================================
use crate::arena::{Arena, Handle, UniqueArena};

use super::{Error, LookupExpression, LookupHelper as _};

#[derive(Clone, Debug)]
pub(super) struct LookupSampledImage {
    image: Handle<crate::Expression>,
    sampler: Handle<crate::Expression>,
}

bitflags::bitflags! {
    /// Flags describing sampling method.
    pub struct SamplingFlags: u32 {
        /// Regular sampling.
        const REGULAR = 0x1;
        /// Comparison sampling.
        const COMPARISON = 0x2;
    }
}

impl<'function> super::BlockContext<'function> {
    fn get_image_expr_ty(
        &self,
        handle: Handle<crate::Expression>,
    ) -> Result<Handle<crate::Type>, Error> {
        match self.expressions[handle] {
            crate::Expression::GlobalVariable(handle) => Ok(self.global_arena[handle].ty),
            crate::Expression::FunctionArgument(i) => Ok(self.arguments[i as usize].ty),
            ref other => Err(Error::InvalidImageExpression(other.clone())),
        }
    }
}

/// Options of a sampling operation.
#[derive(Debug)]
pub struct SamplingOptions {
    /// Projection sampling: the division by W is expected to happen
    /// in the texture unit.
    pub project: bool,
    /// Depth comparison sampling with a reference value.
    pub compare: bool,
}

enum ExtraCoordinate {
    ArrayLayer,
    Projection,
    Garbage,
}

/// Return the texture coordinates separated from the array layer,
/// and/or divided by the projection term.
///
/// The Proj sampling ops expect an extra coordinate for the W.
/// The arrayed (can't be Proj!) images expect an extra coordinate for the layer.
fn extract_image_coordinates(
    image_dim: crate::ImageDimension,
    extra_coordinate: ExtraCoordinate,
    base: Handle<crate::Expression>,
    coordinate_ty: Handle<crate::Type>,
    ctx: &mut super::BlockContext,
) -> (Handle<crate::Expression>, Option<Handle<crate::Expression>>) {
    let (given_size, kind) = match ctx.type_arena[coordinate_ty].inner {
        crate::TypeInner::Scalar { kind, .. } => (None, kind),
        crate::TypeInner::Vector { size, kind, .. } => (Some(size), kind),
        ref other => unreachable!("Unexpected texture coordinate {:?}", other),
    };

    let required_size = image_dim.required_coordinate_size();
    let required_ty = required_size.map(|size| {
        ctx.type_arena
            .get(&crate::Type {
                name: None,
                inner: crate::TypeInner::Vector {
                    size,
                    kind,
                    width: 4,
                },
            })
            .expect("Required coordinate type should have been set up by `parse_type_image`!")
    });
    let extra_expr = crate::Expression::AccessIndex {
        base,
        index: required_size.map_or(1, |size| size as u32),
    };

    let base_span = ctx.expressions.get_span(base);

    match extra_coordinate {
        ExtraCoordinate::ArrayLayer => {
            let extracted = match required_size {
                None => ctx
                    .expressions
                    .append(crate::Expression::AccessIndex { base, index: 0 }, base_span),
                Some(size) => {
                    let mut components = Vec::with_capacity(size as usize);
                    for index in 0..size as u32 {
                        let comp = ctx
                            .expressions
                            .append(crate::Expression::AccessIndex { base, index }, base_span);
                        components.push(comp);
                    }
                    ctx.expressions.append(
                        crate::Expression::Compose {
                            ty: required_ty.unwrap(),
                            components,
                        },
                        base_span,
                    )
                }
            };
            let array_index_f32 = ctx.expressions.append(extra_expr, base_span);
            let array_index = ctx.expressions.append(
                crate::Expression::As {
                    kind: crate::ScalarKind::Sint,
                    expr: array_index_f32,
                    convert: Some(4),
                },
                base_span,
            );
            (extracted, Some(array_index))
        }
        ExtraCoordinate::Projection => {
            let projection = ctx.expressions.append(extra_expr, base_span);
            let divided = match required_size {
                None => {
                    let temp = ctx
                        .expressions
                        .append(crate::Expression::AccessIndex { base, index: 0 }, base_span);
                    ctx.expressions.append(
                        crate::Expression::Binary {
                            op: crate::BinaryOperator::Divide,
                            left: temp,
                            right: projection,
                        },
                        base_span,
                    )
                }
                Some(size) => {
                    let mut components = Vec::with_capacity(size as usize);
                    for index in 0..size as u32 {
                        let temp = ctx
                            .expressions
                            .append(crate::Expression::AccessIndex { base, index }, base_span);
                        let comp = ctx.expressions.append(
                            crate::Expression::Binary {
                                op: crate::BinaryOperator::Divide,
                                left: temp,
                                right: projection,
                            },
                            base_span,
                        );
                        components.push(comp);
                    }
                    ctx.expressions.append(
                        crate::Expression::Compose {
                            ty: required_ty.unwrap(),
                            components,
                        },
                        base_span,
                    )
                }
            };
            (divided, None)
        }
        ExtraCoordinate::Garbage if given_size == required_size => (base, None),
        ExtraCoordinate::Garbage => {
            use crate::SwizzleComponent as Sc;
            let cut_expr = match required_size {
                None => crate::Expression::AccessIndex { base, index: 0 },
                Some(size) => crate::Expression::Swizzle {
                    size,
                    vector: base,
                    pattern: [Sc::X, Sc::Y, Sc::Z, Sc::W],
                },
            };
            (ctx.expressions.append(cut_expr, base_span), None)
        }
    }
}

pub(super) fn patch_comparison_type(
    flags: SamplingFlags,
    var: &mut crate::GlobalVariable,
    arena: &mut UniqueArena<crate::Type>,
) -> bool {
    if !flags.contains(SamplingFlags::COMPARISON) {
        return true;
    }
    if flags == SamplingFlags::all() {
        return false;
    }

    log::debug!("Flipping comparison for {:?}", var);
    let original_ty = &arena[var.ty];
    let original_ty_span = arena.get_span(var.ty);
    let ty_inner = match original_ty.inner {
        crate::TypeInner::Image {
            class: crate::ImageClass::Sampled { multi, .. },
            dim,
            arrayed,
        } => crate::TypeInner::Image {
            class: crate::ImageClass::Depth { multi },
            dim,
            arrayed,
        },
        crate::TypeInner::Sampler { .. } => crate::TypeInner::Sampler { comparison: true },
        ref other => unreachable!("Unexpected type for comparison mutation: {:?}", other),
    };

    let name = original_ty.name.clone();
    var.ty = arena.insert(
        crate::Type {
            name,
            inner: ty_inner,
        },
        original_ty_span,
    );
    true
}

impl<I: Iterator<Item = u32>> super::Parser<I> {
    pub(super) fn parse_image_couple(&mut self) -> Result<(), Error> {
        let _result_type_id = self.next()?;
        let result_id = self.next()?;
        let image_id = self.next()?;
        let sampler_id = self.next()?;
        let image_lexp = self.lookup_expression.lookup(image_id)?;
        let sampler_lexp = self.lookup_expression.lookup(sampler_id)?;
        self.lookup_sampled_image.insert(
            result_id,
            LookupSampledImage {
                image: image_lexp.handle,
                sampler: sampler_lexp.handle,
            },
        );
        Ok(())
    }

    pub(super) fn parse_image_uncouple(&mut self, block_id: spirv::Word) -> Result<(), Error> {
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let sampled_image_id = self.next()?;
        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: self.lookup_sampled_image.lookup(sampled_image_id)?.image,
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    pub(super) fn parse_image_write(
        &mut self,
        words_left: u16,
        ctx: &mut super::BlockContext,
        emitter: &mut crate::front::Emitter,
        block: &mut crate::Block,
        body_idx: usize,
    ) -> Result<crate::Statement, Error> {
        let image_id = self.next()?;
        let coordinate_id = self.next()?;
        let value_id = self.next()?;

        let image_ops = if words_left != 0 { self.next()? } else { 0 };

        if image_ops != 0 {
            let other = spirv::ImageOperands::from_bits_truncate(image_ops);
            log::warn!("Unknown image write ops {:?}", other);
            for _ in 1..words_left {
                self.next()?;
            }
        }

        let image_lexp = self.lookup_expression.lookup(image_id)?;
        let image_ty = ctx.get_image_expr_ty(image_lexp.handle)?;

        let coord_lexp = self.lookup_expression.lookup(coordinate_id)?;
        let coord_handle =
            self.get_expr_handle(coordinate_id, coord_lexp, ctx, emitter, block, body_idx);
        let coord_type_handle = self.lookup_type.lookup(coord_lexp.type_id)?.handle;
        let (coordinate, array_index) = match ctx.type_arena[image_ty].inner {
            crate::TypeInner::Image {
                dim,
                arrayed,
                class: _,
            } => extract_image_coordinates(
                dim,
                if arrayed {
                    ExtraCoordinate::ArrayLayer
                } else {
                    ExtraCoordinate::Garbage
                },
                coord_handle,
                coord_type_handle,
                ctx,
            ),
            _ => return Err(Error::InvalidImage(image_ty)),
        };

        let value_lexp = self.lookup_expression.lookup(value_id)?;
        let value = self.get_expr_handle(value_id, value_lexp, ctx, emitter, block, body_idx);

        Ok(crate::Statement::ImageStore {
            image: image_lexp.handle,
            coordinate,
            array_index,
            value,
        })
    }

    pub(super) fn parse_image_load(
        &mut self,
        mut words_left: u16,
        ctx: &mut super::BlockContext,
        emitter: &mut crate::front::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let image_id = self.next()?;
        let coordinate_id = self.next()?;

        let mut image_ops = if words_left != 0 {
            words_left -= 1;
            self.next()?
        } else {
            0
        };

        let mut sample = None;
        let mut level = None;
        while image_ops != 0 {
            let bit = 1 << image_ops.trailing_zeros();
            match spirv::ImageOperands::from_bits_truncate(bit) {
                spirv::ImageOperands::LOD => {
                    let lod_expr = self.next()?;
                    let lod_lexp = self.lookup_expression.lookup(lod_expr)?;
                    let lod_handle =
                        self.get_expr_handle(lod_expr, lod_lexp, ctx, emitter, block, body_idx);
                    level = Some(lod_handle);
                    words_left -= 1;
                }
                spirv::ImageOperands::SAMPLE => {
                    let sample_expr = self.next()?;
                    let sample_handle = self.lookup_expression.lookup(sample_expr)?.handle;
                    sample = Some(sample_handle);
                    words_left -= 1;
                }
                other => {
                    log::warn!("Unknown image load op {:?}", other);
                    for _ in 0..words_left {
                        self.next()?;
                    }
                    break;
                }
            }
            image_ops ^= bit;
        }

        // No need to call get_expr_handle here since only globals/arguments are
        // allowed as images and they are always in the root scope
        let image_lexp = self.lookup_expression.lookup(image_id)?;
        let image_ty = ctx.get_image_expr_ty(image_lexp.handle)?;

        let coord_lexp = self.lookup_expression.lookup(coordinate_id)?;
        let coord_handle =
            self.get_expr_handle(coordinate_id, coord_lexp, ctx, emitter, block, body_idx);
        let coord_type_handle = self.lookup_type.lookup(coord_lexp.type_id)?.handle;
        let (coordinate, array_index) = match ctx.type_arena[image_ty].inner {
            crate::TypeInner::Image {
                dim,
                arrayed,
                class: _,
            } => extract_image_coordinates(
                dim,
                if arrayed {
                    ExtraCoordinate::ArrayLayer
                } else {
                    ExtraCoordinate::Garbage
                },
                coord_handle,
                coord_type_handle,
                ctx,
            ),
            _ => return Err(Error::InvalidImage(image_ty)),
        };

        let expr = crate::Expression::ImageLoad {
            image: image_lexp.handle,
            coordinate,
            array_index,
            sample,
            level,
        };
        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, self.span_from_with_op(start)),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    #[allow(clippy::too_many_arguments)]
    pub(super) fn parse_image_sample(
        &mut self,
        mut words_left: u16,
        options: SamplingOptions,
        ctx: &mut super::BlockContext,
        emitter: &mut crate::front::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let sampled_image_id = self.next()?;
        let coordinate_id = self.next()?;
        let dref_id = if options.compare {
            Some(self.next()?)
        } else {
            None
        };

        let mut image_ops = if words_left != 0 {
            words_left -= 1;
            self.next()?
        } else {
            0
        };

        let mut level = crate::SampleLevel::Auto;
        let mut offset = None;
        while image_ops != 0 {
            let bit = 1 << image_ops.trailing_zeros();
            match spirv::ImageOperands::from_bits_truncate(bit) {
                spirv::ImageOperands::BIAS => {
                    let bias_expr = self.next()?;
                    let bias_lexp = self.lookup_expression.lookup(bias_expr)?;
                    let bias_handle =
                        self.get_expr_handle(bias_expr, bias_lexp, ctx, emitter, block, body_idx);
                    level = crate::SampleLevel::Bias(bias_handle);
                    words_left -= 1;
                }
                spirv::ImageOperands::LOD => {
                    let lod_expr = self.next()?;
                    let lod_lexp = self.lookup_expression.lookup(lod_expr)?;
                    let lod_handle =
                        self.get_expr_handle(lod_expr, lod_lexp, ctx, emitter, block, body_idx);
                    level = if options.compare {
                        log::debug!("Assuming {:?} is zero", lod_handle);
                        crate::SampleLevel::Zero
                    } else {
                        crate::SampleLevel::Exact(lod_handle)
                    };
                    words_left -= 1;
                }
                spirv::ImageOperands::GRAD => {
                    let grad_x_expr = self.next()?;
                    let grad_x_lexp = self.lookup_expression.lookup(grad_x_expr)?;
                    let grad_x_handle = self.get_expr_handle(
                        grad_x_expr,
                        grad_x_lexp,
                        ctx,
                        emitter,
                        block,
                        body_idx,
                    );
                    let grad_y_expr = self.next()?;
                    let grad_y_lexp = self.lookup_expression.lookup(grad_y_expr)?;
                    let grad_y_handle = self.get_expr_handle(
                        grad_y_expr,
                        grad_y_lexp,
                        ctx,
                        emitter,
                        block,
                        body_idx,
                    );
                    level = if options.compare {
                        log::debug!(
                            "Assuming gradients {:?} and {:?} are not greater than 1",
                            grad_x_handle,
                            grad_y_handle
                        );
                        crate::SampleLevel::Zero
                    } else {
                        crate::SampleLevel::Gradient {
                            x: grad_x_handle,
                            y: grad_y_handle,
                        }
                    };
                    words_left -= 2;
                }
                spirv::ImageOperands::CONST_OFFSET => {
                    let offset_constant = self.next()?;
                    let offset_handle = self.lookup_constant.lookup(offset_constant)?.handle;
                    offset = Some(offset_handle);
                    words_left -= 1;
                }
                other => {
                    log::warn!("Unknown image sample operand {:?}", other);
                    for _ in 0..words_left {
                        self.next()?;
                    }
                    break;
                }
            }
            image_ops ^= bit;
        }

        let si_lexp = self.lookup_sampled_image.lookup(sampled_image_id)?;
        let coord_lexp = self.lookup_expression.lookup(coordinate_id)?;
        let coord_handle =
            self.get_expr_handle(coordinate_id, coord_lexp, ctx, emitter, block, body_idx);
        let coord_type_handle = self.lookup_type.lookup(coord_lexp.type_id)?.handle;

        let sampling_bit = if options.compare {
            SamplingFlags::COMPARISON
        } else {
            SamplingFlags::REGULAR
        };

        let image_ty = match ctx.expressions[si_lexp.image] {
            crate::Expression::GlobalVariable(handle) => {
                if let Some(flags) = self.handle_sampling.get_mut(&handle) {
                    *flags |= sampling_bit;
                }

                ctx.global_arena[handle].ty
            }
            crate::Expression::FunctionArgument(i) => {
                ctx.parameter_sampling[i as usize] |= sampling_bit;
                ctx.arguments[i as usize].ty
            }
            ref other => return Err(Error::InvalidGlobalVar(other.clone())),
        };
        match ctx.expressions[si_lexp.sampler] {
            crate::Expression::GlobalVariable(handle) => {
                *self.handle_sampling.get_mut(&handle).unwrap() |= sampling_bit
            }
            crate::Expression::FunctionArgument(i) => {
                ctx.parameter_sampling[i as usize] |= sampling_bit;
            }
            ref other => return Err(Error::InvalidGlobalVar(other.clone())),
        }

        let ((coordinate, array_index), depth_ref) = match ctx.type_arena[image_ty].inner {
            crate::TypeInner::Image {
                dim,
                arrayed,
                class: _,
            } => (
                extract_image_coordinates(
                    dim,
                    if options.project {
                        ExtraCoordinate::Projection
                    } else if arrayed {
                        ExtraCoordinate::ArrayLayer
                    } else {
                        ExtraCoordinate::Garbage
                    },
                    coord_handle,
                    coord_type_handle,
                    ctx,
                ),
                {
                    match dref_id {
                        Some(id) => {
                            let expr_lexp = self.lookup_expression.lookup(id)?;
                            let mut expr =
                                self.get_expr_handle(id, expr_lexp, ctx, emitter, block, body_idx);

                            if options.project {
                                let required_size = dim.required_coordinate_size();
                                let right = ctx.expressions.append(
                                    crate::Expression::AccessIndex {
                                        base: coord_handle,
                                        index: required_size.map_or(1, |size| size as u32),
                                    },
                                    crate::Span::default(),
                                );
                                expr = ctx.expressions.append(
                                    crate::Expression::Binary {
                                        op: crate::BinaryOperator::Divide,
                                        left: expr,
                                        right,
                                    },
                                    crate::Span::default(),
                                )
                            };
                            Some(expr)
                        }
                        None => None,
                    }
                },
            ),
            _ => return Err(Error::InvalidImage(image_ty)),
        };

        let expr = crate::Expression::ImageSample {
            image: si_lexp.image,
            sampler: si_lexp.sampler,
            gather: None, //TODO
            coordinate,
            array_index,
            offset,
            level,
            depth_ref,
        };
        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, self.span_from_with_op(start)),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    pub(super) fn parse_image_query_size(
        &mut self,
        at_level: bool,
        ctx: &mut super::BlockContext,
        emitter: &mut crate::front::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let image_id = self.next()?;
        let level = if at_level {
            let level_id = self.next()?;
            let level_lexp = self.lookup_expression.lookup(level_id)?;
            Some(self.get_expr_handle(level_id, level_lexp, ctx, emitter, block, body_idx))
        } else {
            None
        };

        // No need to call get_expr_handle here since only globals/arguments are
        // allowed as images and they are always in the root scope
        //TODO: handle arrays and cubes
        let image_lexp = self.lookup_expression.lookup(image_id)?;

        let expr = crate::Expression::ImageQuery {
            image: image_lexp.handle,
            query: crate::ImageQuery::Size { level },
        };
        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, self.span_from_with_op(start)),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    pub(super) fn parse_image_query_other(
        &mut self,
        query: crate::ImageQuery,
        expressions: &mut Arena<crate::Expression>,
        block_id: spirv::Word,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let image_id = self.next()?;

        // No need to call get_expr_handle here since only globals/arguments are
        // allowed as images and they are always in the root scope
        let image_lexp = self.lookup_expression.lookup(image_id)?.clone();

        let expr = crate::Expression::ImageQuery {
            image: image_lexp.handle,
            query,
        };
        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: expressions.append(expr, self.span_from_with_op(start)),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }
}


================================================
FILE: lib/naga/src/front/spv/mod.rs
================================================
/*!
Frontend for [SPIR-V][spv] (Standard Portable Intermediate Representation).

## ID lookups

Our IR links to everything with `Handle`, while SPIR-V uses IDs.
In order to keep track of the associations, the parser has many lookup tables.
There map `spv::Word` into a specific IR handle, plus potentially a bit of
extra info, such as the related SPIR-V type ID.
TODO: would be nice to find ways that avoid looking up as much

## Inputs/Outputs

We create a private variable for each input/output. The relevant inputs are
populated at the start of an entry point. The outputs are saved at the end.

The function associated with an entry point is wrapped in another function,
such that we can handle any `Return` statements without problems.

## Row-major matrices

We don't handle them natively, since the IR only expects column majority.
Instead, we detect when such matrix is accessed in the `OpAccessChain`,
and we generate a parallel expression that loads the value, but transposed.
This value then gets used instead of `OpLoad` result later on.

[spv]: https://www.khronos.org/registry/SPIR-V/
*/

mod convert;
mod error;
mod function;
mod image;
mod null;

use convert::*;
pub use error::Error;
use function::*;

use crate::{
    arena::{Arena, Handle, UniqueArena},
    proc::{Alignment, Layouter},
    FastHashMap, FastHashSet,
};

use num_traits::cast::FromPrimitive;
use petgraph::graphmap::GraphMap;
use std::{convert::TryInto, mem, num::NonZeroU32, path::PathBuf};

pub const SUPPORTED_CAPABILITIES: &[spirv::Capability] = &[
    spirv::Capability::Shader,
    spirv::Capability::VulkanMemoryModel,
    spirv::Capability::ClipDistance,
    spirv::Capability::CullDistance,
    spirv::Capability::SampleRateShading,
    spirv::Capability::DerivativeControl,
    spirv::Capability::InterpolationFunction,
    spirv::Capability::Matrix,
    spirv::Capability::ImageQuery,
    spirv::Capability::Sampled1D,
    spirv::Capability::Image1D,
    spirv::Capability::SampledCubeArray,
    spirv::Capability::ImageCubeArray,
    spirv::Capability::ImageMSArray,
    spirv::Capability::StorageImageExtendedFormats,
    spirv::Capability::Sampled1D,
    spirv::Capability::SampledCubeArray,
    spirv::Capability::Int8,
    spirv::Capability::Int16,
    spirv::Capability::Int64,
    spirv::Capability::Float16,
    spirv::Capability::Float64,
    spirv::Capability::Geometry,
    spirv::Capability::MultiView,
    // tricky ones
    spirv::Capability::UniformBufferArrayDynamicIndexing,
    spirv::Capability::StorageBufferArrayDynamicIndexing,
];
pub const SUPPORTED_EXTENSIONS: &[&str] = &[
    "SPV_KHR_storage_buffer_storage_class",
    "SPV_KHR_vulkan_memory_model",
    "SPV_KHR_multiview",
];
pub const SUPPORTED_EXT_SETS: &[&str] = &["GLSL.std.450"];

#[derive(Copy, Clone)]
pub struct Instruction {
    op: spirv::Op,
    wc: u16,
}

impl Instruction {
    const fn expect(self, count: u16) -> Result<(), Error> {
        if self.wc == count {
            Ok(())
        } else {
            Err(Error::InvalidOperandCount(self.op, self.wc))
        }
    }

    fn expect_at_least(self, count: u16) -> Result<u16, Error> {
        self.wc
            .checked_sub(count)
            .ok_or(Error::InvalidOperandCount(self.op, self.wc))
    }
}

impl crate::TypeInner {
    const fn can_comparison_sample(&self) -> bool {
        match *self {
            crate::TypeInner::Image {
                class:
                    crate::ImageClass::Sampled {
                        kind: crate::ScalarKind::Float,
                        multi: false,
                    },
                ..
            } => true,
            crate::TypeInner::Sampler { .. } => true,
            _ => false,
        }
    }
}

#[derive(Clone, Copy, Debug, PartialEq, PartialOrd)]
pub enum ModuleState {
    Empty,
    Capability,
    Extension,
    ExtInstImport,
    MemoryModel,
    EntryPoint,
    ExecutionMode,
    Source,
    Name,
    ModuleProcessed,
    Annotation,
    Type,
    Function,
}

trait LookupHelper {
    type Target;
    fn lookup(&self, key: spirv::Word) -> Result<&Self::Target, Error>;
}

impl<T> LookupHelper for FastHashMap<spirv::Word, T> {
    type Target = T;
    fn lookup(&self, key: spirv::Word) -> Result<&T, Error> {
        self.get(&key).ok_or(Error::InvalidId(key))
    }
}

impl crate::ImageDimension {
    const fn required_coordinate_size(&self) -> Option<crate::VectorSize> {
        match *self {
            crate::ImageDimension::D1 => None,
            crate::ImageDimension::D2 => Some(crate::VectorSize::Bi),
            crate::ImageDimension::D3 => Some(crate::VectorSize::Tri),
            crate::ImageDimension::Cube => Some(crate::VectorSize::Tri),
        }
    }
}

type MemberIndex = u32;

bitflags::bitflags! {
    #[derive(Default)]
    struct DecorationFlags: u32 {
        const NON_READABLE = 0x1;
        const NON_WRITABLE = 0x2;
    }
}

impl DecorationFlags {
    fn to_storage_access(self) -> crate::StorageAccess {
        let mut access = crate::StorageAccess::all();
        if self.contains(DecorationFlags::NON_READABLE) {
            access &= !crate::StorageAccess::LOAD;
        }
        if self.contains(DecorationFlags::NON_WRITABLE) {
            access &= !crate::StorageAccess::STORE;
        }
        access
    }
}

#[derive(Debug, PartialEq)]
enum Majority {
    Column,
    Row,
}

#[derive(Debug, Default)]
struct Decoration {
    name: Option<String>,
    built_in: Option<spirv::Word>,
    location: Option<spirv::Word>,
    desc_set: Option<spirv::Word>,
    desc_index: Option<spirv::Word>,
    specialization: Option<spirv::Word>,
    storage_buffer: bool,
    offset: Option<spirv::Word>,
    array_stride: Option<NonZeroU32>,
    matrix_stride: Option<NonZeroU32>,
    matrix_major: Option<Majority>,
    invariant: bool,
    interpolation: Option<crate::Interpolation>,
    sampling: Option<crate::Sampling>,
    flags: DecorationFlags,
}

impl Decoration {
    fn debug_name(&self) -> &str {
        match self.name {
            Some(ref name) => name.as_str(),
            None => "?",
        }
    }

    const fn resource_binding(&self) -> Option<crate::ResourceBinding> {
        match *self {
            Decoration {
                desc_set: Some(group),
                desc_index: Some(binding),
                ..
            } => Some(crate::ResourceBinding { group, binding }),
            _ => None,
        }
    }

    fn io_binding(&self) -> Result<crate::Binding, Error> {
        match *self {
            Decoration {
                built_in: Some(built_in),
                location: None,
                invariant,
                ..
            } => Ok(crate::Binding::BuiltIn(map_builtin(built_in, invariant)?)),
            Decoration {
                built_in: None,
                location: Some(location),
                interpolation,
                sampling,
                ..
            } => Ok(crate::Binding::Location {
                location,
                interpolation,
                sampling,
            }),
            _ => Err(Error::MissingDecoration(spirv::Decoration::Location)),
        }
    }
}

#[derive(Debug)]
struct LookupFunctionType {
    parameter_type_ids: Vec<spirv::Word>,
    return_type_id: spirv::Word,
}

struct LookupFunction {
    handle: Handle<crate::Function>,
    parameters_sampling: Vec<image::SamplingFlags>,
}

#[derive(Debug)]
struct EntryPoint {
    stage: crate::ShaderStage,
    name: String,
    early_depth_test: Option<crate::EarlyDepthTest>,
    workgroup_size: [u32; 3],
    variable_ids: Vec<spirv::Word>,
}

#[derive(Clone, Debug)]
struct LookupType {
    handle: Handle<crate::Type>,
    base_id: Option<spirv::Word>,
}

#[derive(Debug)]
struct LookupConstant {
    handle: Handle<crate::Constant>,
    type_id: spirv::Word,
}

#[derive(Debug)]
enum Variable {
    Global,
    Input(crate::FunctionArgument),
    Output(crate::FunctionResult),
}

#[derive(Debug)]
struct LookupVariable {
    inner: Variable,
    handle: Handle<crate::GlobalVariable>,
    type_id: spirv::Word,
}

/// Information about SPIR-V result ids, stored in `Parser::lookup_expression`.
#[derive(Clone, Debug)]
struct LookupExpression {
    /// The `Expression` constructed for this result.
    ///
    /// Note that, while a SPIR-V result id can be used in any block dominated
    /// by its definition, a Naga `Expression` is only in scope for the rest of
    /// its subtree. `Parser::get_expr_handle` takes care of spilling the result
    /// to a `LocalVariable` which can then be used anywhere.
    handle: Handle<crate::Expression>,

    /// The SPIR-V type of this result.
    type_id: spirv::Word,

    /// The label id of the block that defines this expression.
    ///
    /// This is zero for globals, constants, and function parameters, since they
    /// originate outside any function's block.
    block_id: spirv::Word,
}

#[derive(Debug)]
struct LookupMember {
    type_id: spirv::Word,
    // This is true for either matrices, or arrays of matrices (yikes).
    row_major: bool,
}

#[derive(Clone, Debug)]
enum LookupLoadOverride {
    /// For arrays of matrices, we track them but not loading yet.
    Pending,
    /// For matrices, vectors, and scalars, we pre-load the data.
    Loaded(Handle<crate::Expression>),
}

#[derive(PartialEq)]
enum ExtendedClass {
    Global(crate::AddressSpace),
    Input,
    Output,
}

#[derive(Clone, Debug)]
pub struct Options {
    /// The IR coordinate space matches all the APIs except SPIR-V,
    /// so by default we flip the Y coordinate of the `BuiltIn::Position`.
    /// This flag can be used to avoid this.
    pub adjust_coordinate_space: bool,
    /// Only allow shaders with the known set of capabilities.
    pub strict_capabilities: bool,
    pub block_ctx_dump_prefix: Option<PathBuf>,
}

impl Default for Options {
    fn default() -> Self {
        Options {
            adjust_coordinate_space: true,
            strict_capabilities: false,
            block_ctx_dump_prefix: None,
        }
    }
}

/// An index into the `BlockContext::bodies` table.
type BodyIndex = usize;

/// An intermediate representation of a Naga [`Statement`].
///
/// `Body` and `BodyFragment` values form a tree: the `BodyIndex` fields of the
/// variants are indices of the child `Body` values in [`BlockContext::bodies`].
/// The `lower` function assembles the final `Statement` tree from this `Body`
/// tree. See [`BlockContext`] for details.
///
/// [`Statement`]: crate::Statement
#[derive(Debug)]
enum BodyFragment {
    BlockId(spirv::Word),
    If {
        condition: Handle<crate::Expression>,
        accept: BodyIndex,
        reject: BodyIndex,
    },
    Loop {
        body: BodyIndex,
        continuing: BodyIndex,
    },
    Switch {
        selector: Handle<crate::Expression>,
        cases: Vec<(i32, BodyIndex)>,
        default: BodyIndex,
    },
    Break,
    Continue,
}

/// An intermediate representation of a Naga [`Block`].
///
/// This will be assembled into a `Block` once we've added spills for phi nodes
/// and out-of-scope expressions. See [`BlockContext`] for details.
///
/// [`Block`]: crate::Block
#[derive(Debug)]
struct Body {
    /// The index of the direct parent of this body
    parent: usize,
    data: Vec<BodyFragment>,
}

impl Body {
    /// Creates a new empty `Body` with the specified `parent`
    pub const fn with_parent(parent: usize) -> Self {
        Body {
            parent,
            data: Vec::new(),
        }
    }
}

#[derive(Debug)]
struct PhiExpression {
    /// The local variable used for the phi node
    local: Handle<crate::LocalVariable>,
    /// List of (expression, block)
    expressions: Vec<(spirv::Word, spirv::Word)>,
}

#[derive(Debug)]
enum MergeBlockInformation {
    LoopMerge,
    LoopContinue,
    SelectionMerge,
    SwitchMerge,
}

/// Fragments of Naga IR, to be assembled into `Statements` once data flow is
/// resolved.
///
/// We can't build a Naga `Statement` tree directly from SPIR-V blocks for two
/// main reasons:
///
/// - A SPIR-V expression can be used in any SPIR-V block dominated by its
///   definition, whereas Naga expressions are scoped to the rest of their
///   subtree. This means that discovering an expression use later in the
///   function retroactively requires us to have spilled that expression into a
///   local variable back before we left its scope.
///
/// - We translate SPIR-V OpPhi expressions as Naga local variables in which we
///   store the appropriate value before jumping to the OpPhi's block.
///
/// Both cases require us to go back and amend previously generated Naga IR
/// based on things we discover later. But modifying old blocks in arbitrary
/// spots in a `Statement` tree is awkward.
///
/// Instead, as we iterate through the function's body, we accumulate
/// control-flow-free fragments of Naga IR in the [`blocks`] table, while
/// building a skeleton of the Naga `Statement` tree in [`bodies`]. We note any
/// spills and temporaries we must introduce in [`phis`].
///
/// Finally, once we've processed the entire function, we add temporaries and
/// spills to the fragmentary `Blocks` as directed by `phis`, and assemble them
/// into the final Naga `Statement` tree as directed by `bodies`.
///
/// [`blocks`]: BlockContext::blocks
/// [`bodies`]: BlockContext::bodies
/// [`phis`]: BlockContext::phis
/// [`lower`]: function::lower
#[derive(Debug)]
struct BlockContext<'function> {
    /// Phi nodes encountered when parsing the function, used to generate spills
    /// to local variables.
    phis: Vec<PhiExpression>,

    /// Fragments of control-flow-free Naga IR.
    ///
    /// These will be stitched together into a proper `Statement` tree according
    /// to `bodies`, once parsing is complete.
    blocks: FastHashMap<spirv::Word, crate::Block>,

    /// Map from block label ids to the index of the corresponding `Body` in
    /// `bodies`.
    body_for_label: FastHashMap<spirv::Word, BodyIndex>,

    /// SPIR-V metadata about merge/continue blocks.
    mergers: FastHashMap<spirv::Word, MergeBlockInformation>,

    /// A table of `Body` values, each representing a block in the final IR.
    bodies: Vec<Body>,

    /// Id of the function currently being processed
    function_id: spirv::Word,
    /// Expression arena of the function currently being processed
    expressions: &'function mut Arena<crate::Expression>,
    /// Local variables arena of the function currently being processed
    local_arena: &'function mut Arena<crate::LocalVariable>,
    /// Constants arena of the module being processed
    const_arena: &'function mut Arena<crate::Constant>,
    /// Type arena of the module being processed
    type_arena: &'function UniqueArena<crate::Type>,
    /// Global arena of the module being processed
    global_arena: &'function Arena<crate::GlobalVariable>,
    /// Arguments of the function currently being processed
    arguments: &'function [crate::FunctionArgument],
    /// Metadata about the usage of function parameters as sampling objects
    parameter_sampling: &'function mut [image::SamplingFlags],
}

enum SignAnchor {
    Result,
    Operand,
}

pub struct Parser<I> {
    data: I,
    data_offset: usize,
    state: ModuleState,
    layouter: Layouter,
    temp_bytes: Vec<u8>,
    ext_glsl_id: Option<spirv::Word>,
    future_decor: FastHashMap<spirv::Word, Decoration>,
    future_member_decor: FastHashMap<(spirv::Word, MemberIndex), Decoration>,
    lookup_member: FastHashMap<(Handle<crate::Type>, MemberIndex), LookupMember>,
    handle_sampling: FastHashMap<Handle<crate::GlobalVariable>, image::SamplingFlags>,
    lookup_type: FastHashMap<spirv::Word, LookupType>,
    lookup_void_type: Option<spirv::Word>,
    lookup_storage_buffer_types: FastHashMap<Handle<crate::Type>, crate::StorageAccess>,
    // Lookup for samplers and sampled images, storing flags on how they are used.
    lookup_constant: FastHashMap<spirv::Word, LookupConstant>,
    lookup_variable: FastHashMap<spirv::Word, LookupVariable>,
    lookup_expression: FastHashMap<spirv::Word, LookupExpression>,
    // Load overrides are used to work around row-major matrices
    lookup_load_override: FastHashMap<spirv::Word, LookupLoadOverride>,
    lookup_sampled_image: FastHashMap<spirv::Word, image::LookupSampledImage>,
    lookup_function_type: FastHashMap<spirv::Word, LookupFunctionType>,
    lookup_function: FastHashMap<spirv::Word, LookupFunction>,
    lookup_entry_point: FastHashMap<spirv::Word, EntryPoint>,
    //Note: each `OpFunctionCall` gets a single entry here, indexed by the
    // dummy `Handle<crate::Function>` of the call site.
    deferred_function_calls: Vec<spirv::Word>,
    dummy_functions: Arena<crate::Function>,
    // Graph of all function calls through the module.
    // It's used to sort the functions (as nodes) topologically,
    // so that in the IR any called function is already known.
    function_call_graph: GraphMap<spirv::Word, (), petgraph::Directed>,
    options: Options,
    index_constants: Vec<Handle<crate::Constant>>,
    index_constant_expressions: Vec<Handle<crate::Expression>>,

    /// Maps for a switch from a case target to the respective body and associated literals that
    /// use that target block id.
    ///
    /// Used to preserve allocations between instruction parsing.
    switch_cases: indexmap::IndexMap<
        spirv::Word,
        (BodyIndex, Vec<i32>),
        std::hash::BuildHasherDefault<rustc_hash::FxHasher>,
    >,

    /// Tracks usage of builtins, used to cull unused builtins since they can
    /// have serious performance implications.
    builtin_usage: FastHashSet<crate::BuiltIn>,
}

impl<I: Iterator<Item = u32>> Parser<I> {
    pub fn new(data: I, options: &Options) -> Self {
        Parser {
            data,
            data_offset: 0,
            state: ModuleState::Empty,
            layouter: Layouter::default(),
            temp_bytes: Vec::new(),
            ext_glsl_id: None,
            future_decor: FastHashMap::default(),
            future_member_decor: FastHashMap::default(),
            handle_sampling: FastHashMap::default(),
            lookup_member: FastHashMap::default(),
            lookup_type: FastHashMap::default(),
            lookup_void_type: None,
            lookup_storage_buffer_types: FastHashMap::default(),
            lookup_constant: FastHashMap::default(),
            lookup_variable: FastHashMap::default(),
            lookup_expression: FastHashMap::default(),
            lookup_load_override: FastHashMap::default(),
            lookup_sampled_image: FastHashMap::default(),
            lookup_function_type: FastHashMap::default(),
            lookup_function: FastHashMap::default(),
            lookup_entry_point: FastHashMap::default(),
            deferred_function_calls: Vec::default(),
            dummy_functions: Arena::new(),
            function_call_graph: GraphMap::new(),
            options: options.clone(),
            index_constants: Vec::new(),
            index_constant_expressions: Vec::new(),
            switch_cases: indexmap::IndexMap::default(),
            builtin_usage: FastHashSet::default(),
        }
    }

    fn span_from(&self, from: usize) -> crate::Span {
        crate::Span::from(from..self.data_offset)
    }

    fn span_from_with_op(&self, from: usize) -> crate::Span {
        crate::Span::from((from - 4)..self.data_offset)
    }

    fn next(&mut self) -> Result<u32, Error> {
        if let Some(res) = self.data.next() {
            self.data_offset += 4;
            Ok(res)
        } else {
            Err(Error::IncompleteData)
        }
    }

    fn next_inst(&mut self) -> Result<Instruction, Error> {
        let word = self.next()?;
        let (wc, opcode) = ((word >> 16) as u16, (word & 0xffff) as u16);
        if wc == 0 {
            return Err(Error::InvalidWordCount);
        }
        let op = spirv::Op::from_u16(opcode).ok_or(Error::UnknownInstruction(opcode))?;

        Ok(Instruction { op, wc })
    }

    fn next_string(&mut self, mut count: u16) -> Result<(String, u16), Error> {
        self.temp_bytes.clear();
        loop {
            if count == 0 {
                return Err(Error::BadString);
            }
            count -= 1;
            let chars = self.next()?.to_le_bytes();
            let pos = chars.iter().position(|&c| c == 0).unwrap_or(4);
            self.temp_bytes.extend_from_slice(&chars[..pos]);
            if pos < 4 {
                break;
            }
        }
        std::str::from_utf8(&self.temp_bytes)
            .map(|s| (s.to_owned(), count))
            .map_err(|_| Error::BadString)
    }

    fn next_decoration(
        &mut self,
        inst: Instruction,
        base_words: u16,
        dec: &mut Decoration,
    ) -> Result<(), Error> {
        let raw = self.next()?;
        let dec_typed = spirv::Decoration::from_u32(raw).ok_or(Error::InvalidDecoration(raw))?;
        log::trace!("\t\t{}: {:?}", dec.debug_name(), dec_typed);
        match dec_typed {
            spirv::Decoration::BuiltIn => {
                inst.expect(base_words + 2)?;
                dec.built_in = Some(self.next()?);
            }
            spirv::Decoration::Location => {
                inst.expect(base_words + 2)?;
                dec.location = Some(self.next()?);
            }
            spirv::Decoration::DescriptorSet => {
                inst.expect(base_words + 2)?;
                dec.desc_set = Some(self.next()?);
            }
            spirv::Decoration::Binding => {
                inst.expect(base_words + 2)?;
                dec.desc_index = Some(self.next()?);
            }
            spirv::Decoration::BufferBlock => {
                dec.storage_buffer = true;
            }
            spirv::Decoration::Offset => {
                inst.expect(base_words + 2)?;
                dec.offset = Some(self.next()?);
            }
            spirv::Decoration::ArrayStride => {
                inst.expect(base_words + 2)?;
                dec.array_stride = NonZeroU32::new(self.next()?);
            }
            spirv::Decoration::MatrixStride => {
                inst.expect(base_words + 2)?;
                dec.matrix_stride = NonZeroU32::new(self.next()?);
            }
            spirv::Decoration::Invariant => {
                dec.invariant = true;
            }
            spirv::Decoration::NoPerspective => {
                dec.interpolation = Some(crate::Interpolation::Linear);
            }
            spirv::Decoration::Flat => {
                dec.interpolation = Some(crate::Interpolation::Flat);
            }
            spirv::Decoration::Centroid => {
                dec.sampling = Some(crate::Sampling::Centroid);
            }
            spirv::Decoration::Sample => {
                dec.sampling = Some(crate::Sampling::Sample);
            }
            spirv::Decoration::NonReadable => {
                dec.flags |= DecorationFlags::NON_READABLE;
            }
            spirv::Decoration::NonWritable => {
                dec.flags |= DecorationFlags::NON_WRITABLE;
            }
            spirv::Decoration::ColMajor => {
                dec.matrix_major = Some(Majority::Column);
            }
            spirv::Decoration::RowMajor => {
                dec.matrix_major = Some(Majority::Row);
            }
            spirv::Decoration::SpecId => {
                dec.specialization = Some(self.next()?);
            }
            other => {
                log::warn!("Unknown decoration {:?}", other);
                for _ in base_words + 1..inst.wc {
                    let _var = self.next()?;
                }
            }
        }
        Ok(())
    }

    /// Return the Naga `Expression` for a given SPIR-V result `id`.
    ///
    /// `lookup` must be the `LookupExpression` for `id`.
    ///
    /// SPIR-V result ids can be used by any block dominated by the id's
    /// definition, but Naga `Expressions` are only in scope for the remainder
    /// of their `Statement` subtree. This means that the `Expression` generated
    /// for `id` may no longer be in scope. In such cases, this function takes
    /// care of spilling the value of `id` to a `LocalVariable` which can then
    /// be used anywhere. The SPIR-V domination rule ensures that the
    /// `LocalVariable` has been initialized before it is used.
    ///
    /// The `body_idx` argument should be the index of the `Body` that hopes to
    /// use `id`'s `Expression`.
    fn get_expr_handle(
        &self,
        id: spirv::Word,
        lookup: &LookupExpression,
        ctx: &mut BlockContext,
        emitter: &mut super::Emitter,
        block: &mut crate::Block,
        body_idx: BodyIndex,
    ) -> Handle<crate::Expression> {
        // What `Body` was `id` defined in?
        let expr_body_idx = ctx
            .body_for_label
            .get(&lookup.block_id)
            .copied()
            .unwrap_or(0);

        // Don't need to do a load/store if the expression is in the main body
        // or if the expression is in the same body as where the query was
        // requested. The body_idx might actually not be the final one if a loop
        // or conditional occurs but in those cases we know that the new body
        // will be a subscope of the body that was passed so we can still reuse
        // the handle and not issue a load/store.
        if is_parent(body_idx, expr_body_idx, ctx) {
            lookup.handle
        } else {
            // Add a temporary variable of the same type which will be used to
            // store the original expression and used in the current block
            let ty = self.lookup_type[&lookup.type_id].handle;
            let local = ctx.local_arena.append(
                crate::LocalVariable {
                    name: None,
                    ty,
                    init: None,
                },
                crate::Span::default(),
            );

            block.extend(emitter.finish(ctx.expressions));
            let pointer = ctx.expressions.append(
                crate::Expression::LocalVariable(local),
                crate::Span::default(),
            );
            emitter.start(ctx.expressions);
            let expr = ctx
                .expressions
                .append(crate::Expression::Load { pointer }, crate::Span::default());

            // Add a slightly odd entry to the phi table, so that while `id`'s
            // `Expression` is still in scope, the usual phi processing will
            // spill its value to `local`, where we can find it later.
            //
            // This pretends that the block in which `id` is defined is the
            // predecessor of some other block with a phi in it that cites id as
            // one of its sources, and uses `local` as its variable. There is no
            // such phi, but nobody needs to know that.
            ctx.phis.push(PhiExpression {
                local,
                expressions: vec![(id, lookup.block_id)],
            });

            expr
        }
    }

    fn parse_expr_unary_op(
        &mut self,
        ctx: &mut BlockContext,
        emitter: &mut super::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
        op: crate::UnaryOperator,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let p_id = self.next()?;

        let p_lexp = self.lookup_expression.lookup(p_id)?;
        let handle = self.get_expr_handle(p_id, p_lexp, ctx, emitter, block, body_idx);

        let expr = crate::Expression::Unary { op, expr: handle };
        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, self.span_from_with_op(start)),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    fn parse_expr_binary_op(
        &mut self,
        ctx: &mut BlockContext,
        emitter: &mut super::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
        op: crate::BinaryOperator,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let p1_id = self.next()?;
        let p2_id = self.next()?;

        let p1_lexp = self.lookup_expression.lookup(p1_id)?;
        let left = self.get_expr_handle(p1_id, p1_lexp, ctx, emitter, block, body_idx);
        let p2_lexp = self.lookup_expression.lookup(p2_id)?;
        let right = self.get_expr_handle(p2_id, p2_lexp, ctx, emitter, block, body_idx);

        let expr = crate::Expression::Binary { op, left, right };
        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, self.span_from_with_op(start)),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    /// A more complicated version of the unary op,
    /// where we force the operand to have the same type as the result.
    fn parse_expr_unary_op_sign_adjusted(
        &mut self,
        ctx: &mut BlockContext,
        emitter: &mut super::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
        op: crate::UnaryOperator,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let p1_id = self.next()?;
        let span = self.span_from_with_op(start);

        let p1_lexp = self.lookup_expression.lookup(p1_id)?;
        let left = self.get_expr_handle(p1_id, p1_lexp, ctx, emitter, block, body_idx);

        let result_lookup_ty = self.lookup_type.lookup(result_type_id)?;
        let kind = ctx.type_arena[result_lookup_ty.handle]
            .inner
            .scalar_kind()
            .unwrap();

        let expr = crate::Expression::Unary {
            op,
            expr: if p1_lexp.type_id == result_type_id {
                left
            } else {
                ctx.expressions.append(
                    crate::Expression::As {
                        expr: left,
                        kind,
                        convert: None,
                    },
                    span,
                )
            },
        };

        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, span),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    /// A more complicated version of the binary op,
    /// where we force the operand to have the same type as the result.
    /// This is mostly needed for "i++" and "i--" coming from GLSL.
    #[allow(clippy::too_many_arguments)]
    fn parse_expr_binary_op_sign_adjusted(
        &mut self,
        ctx: &mut BlockContext,
        emitter: &mut super::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
        op: crate::BinaryOperator,
        // For arithmetic operations, we need the sign of operands to match the result.
        // For boolean operations, however, the operands need to match the signs, but
        // result is always different - a boolean.
        anchor: SignAnchor,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let p1_id = self.next()?;
        let p2_id = self.next()?;
        let span = self.span_from_with_op(start);

        let p1_lexp = self.lookup_expression.lookup(p1_id)?;
        let left = self.get_expr_handle(p1_id, p1_lexp, ctx, emitter, block, body_idx);
        let p2_lexp = self.lookup_expression.lookup(p2_id)?;
        let right = self.get_expr_handle(p2_id, p2_lexp, ctx, emitter, block, body_idx);

        let expected_type_id = match anchor {
            SignAnchor::Result => result_type_id,
            SignAnchor::Operand => p1_lexp.type_id,
        };
        let expected_lookup_ty = self.lookup_type.lookup(expected_type_id)?;
        let kind = ctx.type_arena[expected_lookup_ty.handle]
            .inner
            .scalar_kind()
            .unwrap();

        let expr = crate::Expression::Binary {
            op,
            left: if p1_lexp.type_id == expected_type_id {
                left
            } else {
                ctx.expressions.append(
                    crate::Expression::As {
                        expr: left,
                        kind,
                        convert: None,
                    },
                    span,
                )
            },
            right: if p2_lexp.type_id == expected_type_id {
                right
            } else {
                ctx.expressions.append(
                    crate::Expression::As {
                        expr: right,
                        kind,
                        convert: None,
                    },
                    span,
                )
            },
        };

        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, span),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    /// A version of the binary op where one or both of the arguments might need to be casted to a
    /// specific integer kind (unsigned or signed), used for operations like OpINotEqual or
    /// OpUGreaterThan.
    #[allow(clippy::too_many_arguments)]
    fn parse_expr_int_comparison(
        &mut self,
        ctx: &mut BlockContext,
        emitter: &mut super::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
        op: crate::BinaryOperator,
        kind: crate::ScalarKind,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let p1_id = self.next()?;
        let p2_id = self.next()?;
        let span = self.span_from_with_op(start);

        let p1_lexp = self.lookup_expression.lookup(p1_id)?;
        let left = self.get_expr_handle(p1_id, p1_lexp, ctx, emitter, block, body_idx);
        let p1_lookup_ty = self.lookup_type.lookup(p1_lexp.type_id)?;
        let p1_kind = ctx.type_arena[p1_lookup_ty.handle]
            .inner
            .scalar_kind()
            .unwrap();
        let p2_lexp = self.lookup_expression.lookup(p2_id)?;
        let right = self.get_expr_handle(p2_id, p2_lexp, ctx, emitter, block, body_idx);
        let p2_lookup_ty = self.lookup_type.lookup(p2_lexp.type_id)?;
        let p2_kind = ctx.type_arena[p2_lookup_ty.handle]
            .inner
            .scalar_kind()
            .unwrap();

        let expr = crate::Expression::Binary {
            op,
            left: if p1_kind == kind {
                left
            } else {
                ctx.expressions.append(
                    crate::Expression::As {
                        expr: left,
                        kind,
                        convert: None,
                    },
                    span,
                )
            },
            right: if p2_kind == kind {
                right
            } else {
                ctx.expressions.append(
                    crate::Expression::As {
                        expr: right,
                        kind,
                        convert: None,
                    },
                    span,
                )
            },
        };

        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, span),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    fn parse_expr_shift_op(
        &mut self,
        ctx: &mut BlockContext,
        emitter: &mut super::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
        op: crate::BinaryOperator,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let p1_id = self.next()?;
        let p2_id = self.next()?;

        let span = self.span_from_with_op(start);

        let p1_lexp = self.lookup_expression.lookup(p1_id)?;
        let left = self.get_expr_handle(p1_id, p1_lexp, ctx, emitter, block, body_idx);
        let p2_lexp = self.lookup_expression.lookup(p2_id)?;
        let p2_handle = self.get_expr_handle(p2_id, p2_lexp, ctx, emitter, block, body_idx);
        // convert the shift to Uint
        let right = ctx.expressions.append(
            crate::Expression::As {
                expr: p2_handle,
                kind: crate::ScalarKind::Uint,
                convert: None,
            },
            span,
        );

        let expr = crate::Expression::Binary { op, left, right };
        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, span),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    fn parse_expr_derivative(
        &mut self,
        ctx: &mut BlockContext,
        emitter: &mut super::Emitter,
        block: &mut crate::Block,
        block_id: spirv::Word,
        body_idx: usize,
        axis: crate::DerivativeAxis,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        let result_type_id = self.next()?;
        let result_id = self.next()?;
        let arg_id = self.next()?;

        let arg_lexp = self.lookup_expression.lookup(arg_id)?;
        let arg_handle = self.get_expr_handle(arg_id, arg_lexp, ctx, emitter, block, body_idx);

        let expr = crate::Expression::Derivative {
            axis,
            expr: arg_handle,
        };
        self.lookup_expression.insert(
            result_id,
            LookupExpression {
                handle: ctx.expressions.append(expr, self.span_from_with_op(start)),
                type_id: result_type_id,
                block_id,
            },
        );
        Ok(())
    }

    #[allow(clippy::too_many_arguments)]
    fn insert_composite(
        &self,
        root_expr: Handle<crate::Expression>,
        root_type_id: spirv::Word,
        object_expr: Handle<crate::Expression>,
        selections: &[spirv::Word],
        type_arena: &UniqueArena<crate::Type>,
        expressions: &mut Arena<crate::Expression>,
        constants: &Arena<crate::Constant>,
        span: crate::Span,
    ) -> Result<Handle<crate::Expression>, Error> {
        let selection = match selections.first() {
            Some(&index) => index,
            None => return Ok(object_expr),
        };
        let root_span = expressions.get_span(root_expr);
        let root_lookup = self.lookup_type.lookup(root_type_id)?;
        let (count, child_type_id) = match type_arena[root_lookup.handle].inner {
            crate::TypeInner::Struct { ref members, .. } => {
                let child_member = self
                    .lookup_member
                    .get(&(root_lookup.handle, selection))
                    .ok_or(Error::InvalidAccessType(root_type_id))?;
                (members.len(), child_member.type_id)
            }
            crate::TypeInner::Array { size, .. } => {
                let size = match size {
                    crate::ArraySize::Constant(handle) => match constants[handle] {
                        crate::Constant {
                            specialization: Some(_),
                            ..
                        } => return Err(Error::UnsupportedType(root_lookup.handle)),
                        ref unspecialized => unspecialized
                            .to_array_length()
                            .ok_or(Error::InvalidArraySize(handle))?,
                    },
                    // A runtime sized array is not a composite type
                    crate::ArraySize::Dynamic => {
                        return Err(Error::InvalidAccessType(root_type_id))
                    }
                };

                let child_type_id = root_lookup
                    .base_id
                    .ok_or(Error::InvalidAccessType(root_type_id))?;

                (size as usize, child_type_id)
            }
            crate::TypeInner::Vector { size, .. }
            | crate::TypeInner::Matrix { columns: size, .. } => {
                let child_type_id = root_lookup
                    .base_id
                    .ok_or(Error::InvalidAccessType(root_type_id))?;
                (size as usize, child_type_id)
            }
            _ => return Err(Error::InvalidAccessType(root_type_id)),
        };

        let mut components = Vec::with_capacity(count);
        for index in 0..count as u32 {
            let expr = expressions.append(
                crate::Expression::AccessIndex {
                    base: root_expr,
                    index,
                },
                if index == selection { span } else { root_span },
            );
            components.push(expr);
        }
        components[selection as usize] = self.insert_composite(
            components[selection as usize],
            child_type_id,
            object_expr,
            &selections[1..],
            type_arena,
            expressions,
            constants,
            span,
        )?;

        Ok(expressions.append(
            crate::Expression::Compose {
                ty: root_lookup.handle,
                components,
            },
            span,
        ))
    }

    /// Add the next SPIR-V block's contents to `block_ctx`.
    ///
    /// Except for the function's entry block, `block_id` should be the label of
    /// a block we've seen mentioned before, with an entry in
    /// `block_ctx.body_for_label` to tell us which `Body` it contributes to.
    fn next_block(&mut self, block_id: spirv::Word, ctx: &mut BlockContext) -> Result<(), Error> {
        // Extend `body` with the correct form for a branch to `target`.
        fn merger(body: &mut Body, target: &MergeBlockInformation) {
            body.data.push(match *target {
                MergeBlockInformation::LoopContinue => BodyFragment::Continue,
                MergeBlockInformation::LoopMerge | MergeBlockInformation::SwitchMerge => {
                    BodyFragment::Break
                }

                // Finishing a selection merge means just falling off the end of
                // the `accept` or `reject` block of the `If` statement.
                MergeBlockInformation::SelectionMerge => return,
            })
        }

        let mut emitter = super::Emitter::default();
        emitter.start(ctx.expressions);

        // Find the `Body` that this block belongs to. Index zero is the
        // function's root `Body`, corresponding to `Function::body`.
        let mut body_idx = *ctx.body_for_label.entry(block_id).or_default();
        let mut block = crate::Block::new();
        // Stores the merge block as defined by a `OpSelectionMerge` otherwise is `None`
        //
        // This is used in `OpSwitch` to promote the `MergeBlockInformation` from
        // `SelectionMerge` to `SwitchMerge` to allow `Break`s this isn't desirable for
        // `LoopMerge`s because otherwise `Continue`s wouldn't be allowed
        let mut selection_merge_block = None;

        macro_rules! get_expr_handle {
            ($id:expr, $lexp:expr) => {
                self.get_expr_handle($id, $lexp, ctx, &mut emitter, &mut block, body_idx)
            };
        }
        macro_rules! parse_expr_op {
            ($op:expr, BINARY) => {
                self.parse_expr_binary_op(ctx, &mut emitter, &mut block, block_id, body_idx, $op)
            };

            ($op:expr, SHIFT) => {
                self.parse_expr_shift_op(ctx, &mut emitter, &mut block, block_id, body_idx, $op)
            };
            ($op:expr, UNARY) => {
                self.parse_expr_unary_op(ctx, &mut emitter, &mut block, block_id, body_idx, $op)
            };
            ($axis:expr, DERIVATIVE) => {
                self.parse_expr_derivative(ctx, &mut emitter, &mut block, block_id, body_idx, $axis)
            };
        }

        let terminator = loop {
            use spirv::Op;
            let start = self.data_offset;
            let inst = self.next_inst()?;
            let span = crate::Span::from(start..(start + 4 * (inst.wc as usize)));
            log::debug!("\t\t{:?} [{}]", inst.op, inst.wc);

            match inst.op {
                Op::Line => {
                    inst.expect(4)?;
                    let _file_id = self.next()?;
                    let _row_id = self.next()?;
                    let _col_id = self.next()?;
                }
                Op::NoLine => inst.expect(1)?,
                Op::Undef => {
                    inst.expect(3)?;
                    let (type_id, id, handle) =
                        self.parse_null_constant(inst, ctx.type_arena, ctx.const_arena)?;
                    self.lookup_expression.insert(
                        id,
                        LookupExpression {
                            handle: ctx
                                .expressions
                                .append(crate::Expression::Constant(handle), span),
                            type_id,
                            block_id,
                        },
                    );
                }
                Op::Variable => {
                    inst.expect_at_least(4)?;
                    block.extend(emitter.finish(ctx.expressions));

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let _storage_class = self.next()?;
                    let init = if inst.wc > 4 {
                        inst.expect(5)?;
                        let init_id = self.next()?;
                        let lconst = self.lookup_constant.lookup(init_id)?;
                        Some(lconst.handle)
                    } else {
                        None
                    };

                    let name = self
                        .future_decor
                        .remove(&result_id)
                        .and_then(|decor| decor.name);
                    if let Some(ref name) = name {
                        log::debug!("\t\t\tid={} name={}", result_id, name);
                    }
                    let lookup_ty = self.lookup_type.lookup(result_type_id)?;
                    let var_handle = ctx.local_arena.append(
                        crate::LocalVariable {
                            name,
                            ty: match ctx.type_arena[lookup_ty.handle].inner {
                                crate::TypeInner::Pointer { base, .. } => base,
                                _ => lookup_ty.handle,
                            },
                            init,
                        },
                        span,
                    );

                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx
                                .expressions
                                .append(crate::Expression::LocalVariable(var_handle), span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                    emitter.start(ctx.expressions);
                }
                Op::Phi => {
                    inst.expect_at_least(3)?;
                    block.extend(emitter.finish(ctx.expressions));

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;

                    let name = format!("phi_{}", result_id);
                    let local = ctx.local_arena.append(
                        crate::LocalVariable {
                            name: Some(name),
                            ty: self.lookup_type.lookup(result_type_id)?.handle,
                            init: None,
                        },
                        self.span_from(start),
                    );
                    let pointer = ctx
                        .expressions
                        .append(crate::Expression::LocalVariable(local), span);

                    let in_count = (inst.wc - 3) / 2;
                    let mut phi = PhiExpression {
                        local,
                        expressions: Vec::with_capacity(in_count as usize),
                    };
                    for _ in 0..in_count {
                        let expr = self.next()?;
                        let block = self.next()?;
                        phi.expressions.push((expr, block));
                    }

                    ctx.phis.push(phi);
                    emitter.start(ctx.expressions);

                    // Associate the lookup with an actual value, which is emitted
                    // into the current block.
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx
                                .expressions
                                .append(crate::Expression::Load { pointer }, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::AccessChain | Op::InBoundsAccessChain => {
                    struct AccessExpression {
                        base_handle: Handle<crate::Expression>,
                        type_id: spirv::Word,
                        load_override: Option<LookupLoadOverride>,
                    }

                    inst.expect_at_least(4)?;

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let base_id = self.next()?;
                    log::trace!("\t\t\tlooking up expr {:?}", base_id);
                    let mut acex = {
                        // the base type has to be a pointer,
                        // so we dereference it here for the traversal
                        let lexp = self.lookup_expression.lookup(base_id)?;
                        let lty = self.lookup_type.lookup(lexp.type_id)?;
                        AccessExpression {
                            base_handle: get_expr_handle!(base_id, lexp),
                            type_id: lty.base_id.ok_or(Error::InvalidAccessType(lexp.type_id))?,
                            load_override: self.lookup_load_override.get(&base_id).cloned(),
                        }
                    };
                    for _ in 4..inst.wc {
                        let access_id = self.next()?;
                        log::trace!("\t\t\tlooking up index expr {:?}", access_id);
                        let index_expr = self.lookup_expression.lookup(access_id)?.clone();
                        let index_expr_handle = get_expr_handle!(access_id, &index_expr);
                        let index_expr_data = &ctx.expressions[index_expr.handle];
                        let index_maybe = match *index_expr_data {
                            crate::Expression::Constant(const_handle) => {
                                Some(ctx.const_arena[const_handle].to_array_length().ok_or(
                                    Error::InvalidAccess(crate::Expression::Constant(const_handle)),
                                )?)
                            }
                            _ => None,
                        };

                        log::trace!("\t\t\tlooking up type {:?}", acex.type_id);
                        let type_lookup = self.lookup_type.lookup(acex.type_id)?;
                        acex = match ctx.type_arena[type_lookup.handle].inner {
                            // can only index a struct with a constant
                            crate::TypeInner::Struct { ref members, .. } => {
                                let index = index_maybe
                                    .ok_or_else(|| Error::InvalidAccess(index_expr_data.clone()))?;

                                let lookup_member = self
                                    .lookup_member
                                    .get(&(type_lookup.handle, index))
                                    .ok_or(Error::InvalidAccessType(acex.type_id))?;
                                let base_handle = ctx.expressions.append(
                                    crate::Expression::AccessIndex {
                                        base: acex.base_handle,
                                        index,
                                    },
                                    span,
                                );

                                if let Some(crate::Binding::BuiltIn(built_in)) =
                                    members[index as usize].binding
                                {
                                    self.builtin_usage.insert(built_in);
                                }

                                AccessExpression {
                                    base_handle,
                                    type_id: lookup_member.type_id,
                                    load_override: if lookup_member.row_major {
                                        debug_assert!(acex.load_override.is_none());
                                        let sub_type_lookup =
                                            self.lookup_type.lookup(lookup_member.type_id)?;
                                        Some(match ctx.type_arena[sub_type_lookup.handle].inner {
                                            // load it transposed, to match column major expectations
                                            crate::TypeInner::Matrix { .. } => {
                                                let loaded = ctx.expressions.append(
                                                    crate::Expression::Load {
                                                        pointer: base_handle,
                                                    },
                                                    span,
                                                );
                                                let transposed = ctx.expressions.append(
                                                    crate::Expression::Math {
                                                        fun: crate::MathFunction::Transpose,
                                                        arg: loaded,
                                                        arg1: None,
                                                        arg2: None,
                                                        arg3: None,
                                                    },
                                                    span,
                                                );
                                                LookupLoadOverride::Loaded(transposed)
                                            }
                                            _ => LookupLoadOverride::Pending,
                                        })
                                    } else {
                                        None
                                    },
                                }
                            }
                            crate::TypeInner::Matrix { .. } => {
                                let load_override = match acex.load_override {
                                    // We are indexing inside a row-major matrix
                                    Some(LookupLoadOverride::Loaded(load_expr)) => {
                                        let index = index_maybe.ok_or_else(|| {
                                            Error::InvalidAccess(index_expr_data.clone())
                                        })?;
                                        let sub_handle = ctx.expressions.append(
                                            crate::Expression::AccessIndex {
                                                base: load_expr,
                                                index,
                                            },
                                            span,
                                        );
                                        Some(LookupLoadOverride::Loaded(sub_handle))
                                    }
                                    _ => None,
                                };
                                let sub_expr = match index_maybe {
                                    Some(index) => crate::Expression::AccessIndex {
                                        base: acex.base_handle,
                                        index,
                                    },
                                    None => crate::Expression::Access {
                                        base: acex.base_handle,
                                        index: index_expr_handle,
                                    },
                                };
                                AccessExpression {
                                    base_handle: ctx.expressions.append(sub_expr, span),
                                    type_id: type_lookup
                                        .base_id
                                        .ok_or(Error::InvalidAccessType(acex.type_id))?,
                                    load_override,
                                }
                            }
                            // This must be a vector or an array.
                            _ => {
                                let base_handle = ctx.expressions.append(
                                    crate::Expression::Access {
                                        base: acex.base_handle,
                                        index: index_expr_handle,
                                    },
                                    span,
                                );
                                let load_override = match acex.load_override {
                                    // If there is a load override in place, then we always end up
                                    // with a side-loaded value here.
                                    Some(lookup_load_override) => {
                                        let sub_expr = match lookup_load_override {
                                            // We must be indexing into the array of row-major matrices.
                                            // Let's load the result of indexing and transpose it.
                                            LookupLoadOverride::Pending => {
                                                let loaded = ctx.expressions.append(
                                                    crate::Expression::Load {
                                                        pointer: base_handle,
                                                    },
                                                    span,
                                                );
                                                ctx.expressions.append(
                                                    crate::Expression::Math {
                                                        fun: crate::MathFunction::Transpose,
                                                        arg: loaded,
                                                        arg1: None,
                                                        arg2: None,
                                                        arg3: None,
                                                    },
                                                    span,
                                                )
                                            }
                                            // We are indexing inside a row-major matrix.
                                            LookupLoadOverride::Loaded(load_expr) => {
                                                ctx.expressions.append(
                                                    crate::Expression::Access {
                                                        base: load_expr,
                                                        index: index_expr_handle,
                                                    },
                                                    span,
                                                )
                                            }
                                        };
                                        Some(LookupLoadOverride::Loaded(sub_expr))
                                    }
                                    None => None,
                                };
                                AccessExpression {
                                    base_handle,
                                    type_id: type_lookup
                                        .base_id
                                        .ok_or(Error::InvalidAccessType(acex.type_id))?,
                                    load_override,
                                }
                            }
                        };
                    }

                    if let Some(load_expr) = acex.load_override {
                        self.lookup_load_override.insert(result_id, load_expr);
                    }
                    let lookup_expression = LookupExpression {
                        handle: acex.base_handle,
                        type_id: result_type_id,
                        block_id,
                    };
                    self.lookup_expression.insert(result_id, lookup_expression);
                }
                Op::VectorExtractDynamic => {
                    inst.expect(5)?;

                    let result_type_id = self.next()?;
                    let id = self.next()?;
                    let composite_id = self.next()?;
                    let index_id = self.next()?;

                    let root_lexp = self.lookup_expression.lookup(composite_id)?;
                    let root_handle = get_expr_handle!(composite_id, root_lexp);
                    let root_type_lookup = self.lookup_type.lookup(root_lexp.type_id)?;
                    let index_lexp = self.lookup_expression.lookup(index_id)?;
                    let index_handle = get_expr_handle!(index_id, index_lexp);

                    let num_components = match ctx.type_arena[root_type_lookup.handle].inner {
                        crate::TypeInner::Vector { size, .. } => size as usize,
                        _ => return Err(Error::InvalidVectorType(root_type_lookup.handle)),
                    };

                    let mut handle = ctx.expressions.append(
                        crate::Expression::Access {
                            base: root_handle,
                            index: self.index_constant_expressions[0],
                        },
                        span,
                    );
                    for &index_expr in self.index_constant_expressions[1..num_components].iter() {
                        let access_expr = ctx.expressions.append(
                            crate::Expression::Access {
                                base: root_handle,
                                index: index_expr,
                            },
                            span,
                        );
                        let cond = ctx.expressions.append(
                            crate::Expression::Binary {
                                op: crate::BinaryOperator::Equal,
                                left: index_expr,
                                right: index_handle,
                            },
                            span,
                        );
                        handle = ctx.expressions.append(
                            crate::Expression::Select {
                                condition: cond,
                                accept: access_expr,
                                reject: handle,
                            },
                            span,
                        );
                    }

                    self.lookup_expression.insert(
                        id,
                        LookupExpression {
                            handle,
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::VectorInsertDynamic => {
                    inst.expect(6)?;

                    let result_type_id = self.next()?;
                    let id = self.next()?;
                    let composite_id = self.next()?;
                    let object_id = self.next()?;
                    let index_id = self.next()?;

                    let object_lexp = self.lookup_expression.lookup(object_id)?;
                    let object_handle = get_expr_handle!(object_id, object_lexp);
                    let root_lexp = self.lookup_expression.lookup(composite_id)?;
                    let root_handle = get_expr_handle!(composite_id, root_lexp);
                    let root_type_lookup = self.lookup_type.lookup(root_lexp.type_id)?;
                    let index_lexp = self.lookup_expression.lookup(index_id)?;
                    let mut index_handle = get_expr_handle!(index_id, index_lexp);
                    let index_type = self.lookup_type.lookup(index_lexp.type_id)?.handle;

                    // SPIR-V allows signed and unsigned indices but naga's is strict about
                    // types and since the `index_constants` are all signed integers, we need
                    // to cast the index to a signed integer if it's unsigned.
                    if let Some(crate::ScalarKind::Uint) =
                        ctx.type_arena[index_type].inner.scalar_kind()
                    {
                        index_handle = ctx.expressions.append(
                            crate::Expression::As {
                                expr: index_handle,
                                kind: crate::ScalarKind::Sint,
                                convert: None,
                            },
                            span,
                        )
                    }

                    let num_components = match ctx.type_arena[root_type_lookup.handle].inner {
                        crate::TypeInner::Vector { size, .. } => size as usize,
                        _ => return Err(Error::InvalidVectorType(root_type_lookup.handle)),
                    };
                    let mut components = Vec::with_capacity(num_components);
                    for &index_expr in self.index_constant_expressions[..num_components].iter() {
                        let access_expr = ctx.expressions.append(
                            crate::Expression::Access {
                                base: root_handle,
                                index: index_expr,
                            },
                            span,
                        );
                        let cond = ctx.expressions.append(
                            crate::Expression::Binary {
                                op: crate::BinaryOperator::Equal,
                                left: index_expr,
                                right: index_handle,
                            },
                            span,
                        );
                        let handle = ctx.expressions.append(
                            crate::Expression::Select {
                                condition: cond,
                                accept: object_handle,
                                reject: access_expr,
                            },
                            span,
                        );
                        components.push(handle);
                    }
                    let handle = ctx.expressions.append(
                        crate::Expression::Compose {
                            ty: root_type_lookup.handle,
                            components,
                        },
                        span,
                    );

                    self.lookup_expression.insert(
                        id,
                        LookupExpression {
                            handle,
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::CompositeExtract => {
                    inst.expect_at_least(4)?;

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let base_id = self.next()?;
                    log::trace!("\t\t\tlooking up expr {:?}", base_id);
                    let mut lexp = self.lookup_expression.lookup(base_id)?.clone();
                    lexp.handle = get_expr_handle!(base_id, &lexp);
                    for _ in 4..inst.wc {
                        let index = self.next()?;
                        log::trace!("\t\t\tlooking up type {:?}", lexp.type_id);
                        let type_lookup = self.lookup_type.lookup(lexp.type_id)?;
                        let type_id = match ctx.type_arena[type_lookup.handle].inner {
                            crate::TypeInner::Struct { .. } => {
                                self.lookup_member
                                    .get(&(type_lookup.handle, index))
                                    .ok_or(Error::InvalidAccessType(lexp.type_id))?
                                    .type_id
                            }
                            crate::TypeInner::Array { .. }
                            | crate::TypeInner::Vector { .. }
                            | crate::TypeInner::Matrix { .. } => type_lookup
                                .base_id
                                .ok_or(Error::InvalidAccessType(lexp.type_id))?,
                            ref other => {
                                log::warn!("composite type {:?}", other);
                                return Err(Error::UnsupportedType(type_lookup.handle));
                            }
                        };
                        lexp = LookupExpression {
                            handle: ctx.expressions.append(
                                crate::Expression::AccessIndex {
                                    base: lexp.handle,
                                    index,
                                },
                                span,
                            ),
                            type_id,
                            block_id,
                        };
                    }

                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: lexp.handle,
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::CompositeInsert => {
                    inst.expect_at_least(5)?;

                    let result_type_id = self.next()?;
                    let id = self.next()?;
                    let object_id = self.next()?;
                    let composite_id = self.next()?;
                    let mut selections = Vec::with_capacity(inst.wc as usize - 5);
                    for _ in 5..inst.wc {
                        selections.push(self.next()?);
                    }

                    let object_lexp = self.lookup_expression.lookup(object_id)?.clone();
                    let object_handle = get_expr_handle!(object_id, &object_lexp);
                    let root_lexp = self.lookup_expression.lookup(composite_id)?.clone();
                    let root_handle = get_expr_handle!(composite_id, &root_lexp);
                    let handle = self.insert_composite(
                        root_handle,
                        result_type_id,
                        object_handle,
                        &selections,
                        ctx.type_arena,
                        ctx.expressions,
                        ctx.const_arena,
                        span,
                    )?;

                    self.lookup_expression.insert(
                        id,
                        LookupExpression {
                            handle,
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::CompositeConstruct => {
                    inst.expect_at_least(3)?;

                    let result_type_id = self.next()?;
                    let id = self.next()?;
                    let mut components = Vec::with_capacity(inst.wc as usize - 2);
                    for _ in 3..inst.wc {
                        let comp_id = self.next()?;
                        log::trace!("\t\t\tlooking up expr {:?}", comp_id);
                        let lexp = self.lookup_expression.lookup(comp_id)?;
                        let handle = get_expr_handle!(comp_id, lexp);
                        components.push(handle);
                    }
                    let ty = self.lookup_type.lookup(result_type_id)?.handle;
                    let first = components[0];
                    let expr = match ctx.type_arena[ty].inner {
                        // this is an optimization to detect the splat
                        crate::TypeInner::Vector { size, .. }
                            if components.len() == size as usize
                                && components[1..].iter().all(|&c| c == first) =>
                        {
                            crate::Expression::Splat { size, value: first }
                        }
                        _ => crate::Expression::Compose { ty, components },
                    };
                    self.lookup_expression.insert(
                        id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::Load => {
                    inst.expect_at_least(4)?;

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let pointer_id = self.next()?;
                    if inst.wc != 4 {
                        inst.expect(5)?;
                        let _memory_access = self.next()?;
                    }

                    let base_lexp = self.lookup_expression.lookup(pointer_id)?;
                    let base_handle = get_expr_handle!(pointer_id, base_lexp);
                    let type_lookup = self.lookup_type.lookup(base_lexp.type_id)?;
                    let handle = match ctx.type_arena[type_lookup.handle].inner {
                        crate::TypeInner::Image { .. } | crate::TypeInner::Sampler { .. } => {
                            base_handle
                        }
                        _ => match self.lookup_load_override.get(&pointer_id) {
                            Some(&LookupLoadOverride::Loaded(handle)) => handle,
                            //Note: we aren't handling `LookupLoadOverride::Pending` properly here
                            _ => ctx.expressions.append(
                                crate::Expression::Load {
                                    pointer: base_handle,
                                },
                                span,
                            ),
                        },
                    };

                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle,
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::Store => {
                    inst.expect_at_least(3)?;

                    let pointer_id = self.next()?;
                    let value_id = self.next()?;
                    if inst.wc != 3 {
                        inst.expect(4)?;
                        let _memory_access = self.next()?;
                    }
                    let base_expr = self.lookup_expression.lookup(pointer_id)?;
                    let base_handle = get_expr_handle!(pointer_id, base_expr);
                    let value_expr = self.lookup_expression.lookup(value_id)?;
                    let value_handle = get_expr_handle!(value_id, value_expr);

                    block.extend(emitter.finish(ctx.expressions));
                    block.push(
                        crate::Statement::Store {
                            pointer: base_handle,
                            value: value_handle,
                        },
                        span,
                    );
                    emitter.start(ctx.expressions);
                }
                // Arithmetic Instructions +, -, *, /, %
                Op::SNegate | Op::FNegate => {
                    inst.expect(4)?;
                    self.parse_expr_unary_op_sign_adjusted(
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                        crate::UnaryOperator::Negate,
                    )?;
                }
                Op::IAdd
                | Op::ISub
                | Op::IMul
                | Op::BitwiseOr
                | Op::BitwiseXor
                | Op::BitwiseAnd
                | Op::SDiv
                | Op::SRem => {
                    inst.expect(5)?;
                    let operator = map_binary_operator(inst.op)?;
                    self.parse_expr_binary_op_sign_adjusted(
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                        operator,
                        SignAnchor::Result,
                    )?;
                }
                Op::IEqual | Op::INotEqual => {
                    inst.expect(5)?;
                    let operator = map_binary_operator(inst.op)?;
                    self.parse_expr_binary_op_sign_adjusted(
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                        operator,
                        SignAnchor::Operand,
                    )?;
                }
                Op::FAdd => {
                    inst.expect(5)?;
                    parse_expr_op!(crate::BinaryOperator::Add, BINARY)?;
                }
                Op::FSub => {
                    inst.expect(5)?;
                    parse_expr_op!(crate::BinaryOperator::Subtract, BINARY)?;
                }
                Op::FMul => {
                    inst.expect(5)?;
                    parse_expr_op!(crate::BinaryOperator::Multiply, BINARY)?;
                }
                Op::UDiv | Op::FDiv => {
                    inst.expect(5)?;
                    parse_expr_op!(crate::BinaryOperator::Divide, BINARY)?;
                }
                Op::UMod | Op::FRem => {
                    inst.expect(5)?;
                    parse_expr_op!(crate::BinaryOperator::Modulo, BINARY)?;
                }
                Op::SMod => {
                    inst.expect(5)?;

                    // x - y * int(floor(float(x) / float(y)))

                    let start = self.data_offset;
                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let p1_id = self.next()?;
                    let p2_id = self.next()?;
                    let span = self.span_from_with_op(start);

                    let p1_lexp = self.lookup_expression.lookup(p1_id)?;
                    let left = self.get_expr_handle(
                        p1_id,
                        p1_lexp,
                        ctx,
                        &mut emitter,
                        &mut block,
                        body_idx,
                    );
                    let p2_lexp = self.lookup_expression.lookup(p2_id)?;
                    let right = self.get_expr_handle(
                        p2_id,
                        p2_lexp,
                        ctx,
                        &mut emitter,
                        &mut block,
                        body_idx,
                    );

                    let result_ty = self.lookup_type.lookup(result_type_id)?;
                    let inner = &ctx.type_arena[result_ty.handle].inner;
                    let kind = inner.scalar_kind().unwrap();
                    let size = inner.size(ctx.const_arena) as u8;

                    let left_cast = ctx.expressions.append(
                        crate::Expression::As {
                            expr: left,
                            kind: crate::ScalarKind::Float,
                            convert: Some(size),
                        },
                        span,
                    );
                    let right_cast = ctx.expressions.append(
                        crate::Expression::As {
                            expr: right,
                            kind: crate::ScalarKind::Float,
                            convert: Some(size),
                        },
                        span,
                    );
                    let div = ctx.expressions.append(
                        crate::Expression::Binary {
                            op: crate::BinaryOperator::Divide,
                            left: left_cast,
                            right: right_cast,
                        },
                        span,
                    );
                    let floor = ctx.expressions.append(
                        crate::Expression::Math {
                            fun: crate::MathFunction::Floor,
                            arg: div,
                            arg1: None,
                            arg2: None,
                            arg3: None,
                        },
                        span,
                    );
                    let cast = ctx.expressions.append(
                        crate::Expression::As {
                            expr: floor,
                            kind,
                            convert: Some(size),
                        },
                        span,
                    );
                    let mult = ctx.expressions.append(
                        crate::Expression::Binary {
                            op: crate::BinaryOperator::Multiply,
                            left: cast,
                            right,
                        },
                        span,
                    );
                    let sub = ctx.expressions.append(
                        crate::Expression::Binary {
                            op: crate::BinaryOperator::Subtract,
                            left,
                            right: mult,
                        },
                        span,
                    );
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: sub,
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::FMod => {
                    inst.expect(5)?;

                    // x - y * floor(x / y)

                    let start = self.data_offset;
                    let span = self.span_from_with_op(start);

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let p1_id = self.next()?;
                    let p2_id = self.next()?;

                    let p1_lexp = self.lookup_expression.lookup(p1_id)?;
                    let left = self.get_expr_handle(
                        p1_id,
                        p1_lexp,
                        ctx,
                        &mut emitter,
                        &mut block,
                        body_idx,
                    );
                    let p2_lexp = self.lookup_expression.lookup(p2_id)?;
                    let right = self.get_expr_handle(
                        p2_id,
                        p2_lexp,
                        ctx,
                        &mut emitter,
                        &mut block,
                        body_idx,
                    );

                    let div = ctx.expressions.append(
                        crate::Expression::Binary {
                            op: crate::BinaryOperator::Divide,
                            left,
                            right,
                        },
                        span,
                    );
                    let floor = ctx.expressions.append(
                        crate::Expression::Math {
                            fun: crate::MathFunction::Floor,
                            arg: div,
                            arg1: None,
                            arg2: None,
                            arg3: None,
                        },
                        span,
                    );
                    let mult = ctx.expressions.append(
                        crate::Expression::Binary {
                            op: crate::BinaryOperator::Multiply,
                            left: floor,
                            right,
                        },
                        span,
                    );
                    let sub = ctx.expressions.append(
                        crate::Expression::Binary {
                            op: crate::BinaryOperator::Subtract,
                            left,
                            right: mult,
                        },
                        span,
                    );
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: sub,
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::VectorTimesScalar
                | Op::VectorTimesMatrix
                | Op::MatrixTimesScalar
                | Op::MatrixTimesVector
                | Op::MatrixTimesMatrix => {
                    inst.expect(5)?;
                    parse_expr_op!(crate::BinaryOperator::Multiply, BINARY)?;
                }
                Op::Transpose => {
                    inst.expect(4)?;

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let matrix_id = self.next()?;
                    let matrix_lexp = self.lookup_expression.lookup(matrix_id)?;
                    let matrix_handle = get_expr_handle!(matrix_id, matrix_lexp);
                    let expr = crate::Expression::Math {
                        fun: crate::MathFunction::Transpose,
                        arg: matrix_handle,
                        arg1: None,
                        arg2: None,
                        arg3: None,
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::Dot => {
                    inst.expect(5)?;

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let left_id = self.next()?;
                    let right_id = self.next()?;
                    let left_lexp = self.lookup_expression.lookup(left_id)?;
                    let left_handle = get_expr_handle!(left_id, left_lexp);
                    let right_lexp = self.lookup_expression.lookup(right_id)?;
                    let right_handle = get_expr_handle!(right_id, right_lexp);
                    let expr = crate::Expression::Math {
                        fun: crate::MathFunction::Dot,
                        arg: left_handle,
                        arg1: Some(right_handle),
                        arg2: None,
                        arg3: None,
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::BitFieldInsert => {
                    inst.expect(7)?;

                    let start = self.data_offset;
                    let span = self.span_from_with_op(start);

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let base_id = self.next()?;
                    let insert_id = self.next()?;
                    let offset_id = self.next()?;
                    let count_id = self.next()?;
                    let base_lexp = self.lookup_expression.lookup(base_id)?;
                    let base_handle = get_expr_handle!(base_id, base_lexp);
                    let insert_lexp = self.lookup_expression.lookup(insert_id)?;
                    let insert_handle = get_expr_handle!(insert_id, insert_lexp);
                    let offset_lexp = self.lookup_expression.lookup(offset_id)?;
                    let offset_handle = get_expr_handle!(offset_id, offset_lexp);
                    let offset_lookup_ty = self.lookup_type.lookup(offset_lexp.type_id)?;
                    let count_lexp = self.lookup_expression.lookup(count_id)?;
                    let count_handle = get_expr_handle!(count_id, count_lexp);
                    let count_lookup_ty = self.lookup_type.lookup(count_lexp.type_id)?;

                    let offset_kind = ctx.type_arena[offset_lookup_ty.handle]
                        .inner
                        .scalar_kind()
                        .unwrap();
                    let count_kind = ctx.type_arena[count_lookup_ty.handle]
                        .inner
                        .scalar_kind()
                        .unwrap();

                    let offset_cast_handle = if offset_kind != crate::ScalarKind::Uint {
                        ctx.expressions.append(
                            crate::Expression::As {
                                expr: offset_handle,
                                kind: crate::ScalarKind::Uint,
                                convert: None,
                            },
                            span,
                        )
                    } else {
                        offset_handle
                    };

                    let count_cast_handle = if count_kind != crate::ScalarKind::Uint {
                        ctx.expressions.append(
                            crate::Expression::As {
                                expr: count_handle,
                                kind: crate::ScalarKind::Uint,
                                convert: None,
                            },
                            span,
                        )
                    } else {
                        count_handle
                    };

                    let expr = crate::Expression::Math {
                        fun: crate::MathFunction::InsertBits,
                        arg: base_handle,
                        arg1: Some(insert_handle),
                        arg2: Some(offset_cast_handle),
                        arg3: Some(count_cast_handle),
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::BitFieldSExtract | Op::BitFieldUExtract => {
                    inst.expect(6)?;

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let base_id = self.next()?;
                    let offset_id = self.next()?;
                    let count_id = self.next()?;
                    let base_lexp = self.lookup_expression.lookup(base_id)?;
                    let base_handle = get_expr_handle!(base_id, base_lexp);
                    let offset_lexp = self.lookup_expression.lookup(offset_id)?;
                    let offset_handle = get_expr_handle!(offset_id, offset_lexp);
                    let offset_lookup_ty = self.lookup_type.lookup(offset_lexp.type_id)?;
                    let count_lexp = self.lookup_expression.lookup(count_id)?;
                    let count_handle = get_expr_handle!(count_id, count_lexp);
                    let count_lookup_ty = self.lookup_type.lookup(count_lexp.type_id)?;

                    let offset_kind = ctx.type_arena[offset_lookup_ty.handle]
                        .inner
                        .scalar_kind()
                        .unwrap();
                    let count_kind = ctx.type_arena[count_lookup_ty.handle]
                        .inner
                        .scalar_kind()
                        .unwrap();

                    let offset_cast_handle = if offset_kind != crate::ScalarKind::Uint {
                        ctx.expressions.append(
                            crate::Expression::As {
                                expr: offset_handle,
                                kind: crate::ScalarKind::Uint,
                                convert: None,
                            },
                            span,
                        )
                    } else {
                        offset_handle
                    };

                    let count_cast_handle = if count_kind != crate::ScalarKind::Uint {
                        ctx.expressions.append(
                            crate::Expression::As {
                                expr: count_handle,
                                kind: crate::ScalarKind::Uint,
                                convert: None,
                            },
                            span,
                        )
                    } else {
                        count_handle
                    };

                    let expr = crate::Expression::Math {
                        fun: crate::MathFunction::ExtractBits,
                        arg: base_handle,
                        arg1: Some(offset_cast_handle),
                        arg2: Some(count_cast_handle),
                        arg3: None,
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::BitReverse | Op::BitCount => {
                    inst.expect(4)?;

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let base_id = self.next()?;
                    let base_lexp = self.lookup_expression.lookup(base_id)?;
                    let base_handle = get_expr_handle!(base_id, base_lexp);
                    let expr = crate::Expression::Math {
                        fun: match inst.op {
                            Op::BitReverse => crate::MathFunction::ReverseBits,
                            Op::BitCount => crate::MathFunction::CountOneBits,
                            _ => unreachable!(),
                        },
                        arg: base_handle,
                        arg1: None,
                        arg2: None,
                        arg3: None,
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::OuterProduct => {
                    inst.expect(5)?;

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let left_id = self.next()?;
                    let right_id = self.next()?;
                    let left_lexp = self.lookup_expression.lookup(left_id)?;
                    let left_handle = get_expr_handle!(left_id, left_lexp);
                    let right_lexp = self.lookup_expression.lookup(right_id)?;
                    let right_handle = get_expr_handle!(right_id, right_lexp);
                    let expr = crate::Expression::Math {
                        fun: crate::MathFunction::Outer,
                        arg: left_handle,
                        arg1: Some(right_handle),
                        arg2: None,
                        arg3: None,
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                // Bitwise instructions
                Op::Not => {
                    inst.expect(4)?;
                    self.parse_expr_unary_op_sign_adjusted(
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                        crate::UnaryOperator::Not,
                    )?;
                }
                Op::ShiftRightLogical => {
                    inst.expect(5)?;
                    //TODO: convert input and result to usigned
                    parse_expr_op!(crate::BinaryOperator::ShiftRight, SHIFT)?;
                }
                Op::ShiftRightArithmetic => {
                    inst.expect(5)?;
                    //TODO: convert input and result to signed
                    parse_expr_op!(crate::BinaryOperator::ShiftRight, SHIFT)?;
                }
                Op::ShiftLeftLogical => {
                    inst.expect(5)?;
                    parse_expr_op!(crate::BinaryOperator::ShiftLeft, SHIFT)?;
                }
                // Sampling
                Op::Image => {
                    inst.expect(4)?;
                    self.parse_image_uncouple(block_id)?;
                }
                Op::SampledImage => {
                    inst.expect(5)?;
                    self.parse_image_couple()?;
                }
                Op::ImageWrite => {
                    let extra = inst.expect_at_least(4)?;
                    let stmt =
                        self.parse_image_write(extra, ctx, &mut emitter, &mut block, body_idx)?;
                    block.extend(emitter.finish(ctx.expressions));
                    block.push(stmt, span);
                    emitter.start(ctx.expressions);
                }
                Op::ImageFetch | Op::ImageRead => {
                    let extra = inst.expect_at_least(5)?;
                    self.parse_image_load(
                        extra,
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                    )?;
                }
                Op::ImageSampleImplicitLod | Op::ImageSampleExplicitLod => {
                    let extra = inst.expect_at_least(5)?;
                    let options = image::SamplingOptions {
                        compare: false,
                        project: false,
                    };
                    self.parse_image_sample(
                        extra,
                        options,
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                    )?;
                }
                Op::ImageSampleProjImplicitLod | Op::ImageSampleProjExplicitLod => {
                    let extra = inst.expect_at_least(5)?;
                    let options = image::SamplingOptions {
                        compare: false,
                        project: true,
                    };
                    self.parse_image_sample(
                        extra,
                        options,
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                    )?;
                }
                Op::ImageSampleDrefImplicitLod | Op::ImageSampleDrefExplicitLod => {
                    let extra = inst.expect_at_least(6)?;
                    let options = image::SamplingOptions {
                        compare: true,
                        project: false,
                    };
                    self.parse_image_sample(
                        extra,
                        options,
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                    )?;
                }
                Op::ImageSampleProjDrefImplicitLod | Op::ImageSampleProjDrefExplicitLod => {
                    let extra = inst.expect_at_least(6)?;
                    let options = image::SamplingOptions {
                        compare: true,
                        project: true,
                    };
                    self.parse_image_sample(
                        extra,
                        options,
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                    )?;
                }
                Op::ImageQuerySize => {
                    inst.expect(4)?;
                    self.parse_image_query_size(
                        false,
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                    )?;
                }
                Op::ImageQuerySizeLod => {
                    inst.expect(5)?;
                    self.parse_image_query_size(
                        true,
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                    )?;
                }
                Op::ImageQueryLevels => {
                    inst.expect(4)?;
                    self.parse_image_query_other(
                        crate::ImageQuery::NumLevels,
                        ctx.expressions,
                        block_id,
                    )?;
                }
                Op::ImageQuerySamples => {
                    inst.expect(4)?;
                    self.parse_image_query_other(
                        crate::ImageQuery::NumSamples,
                        ctx.expressions,
                        block_id,
                    )?;
                }
                // other ops
                Op::Select => {
                    inst.expect(6)?;
                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let condition = self.next()?;
                    let o1_id = self.next()?;
                    let o2_id = self.next()?;

                    let cond_lexp = self.lookup_expression.lookup(condition)?;
                    let cond_handle = get_expr_handle!(condition, cond_lexp);
                    let o1_lexp = self.lookup_expression.lookup(o1_id)?;
                    let o1_handle = get_expr_handle!(o1_id, o1_lexp);
                    let o2_lexp = self.lookup_expression.lookup(o2_id)?;
                    let o2_handle = get_expr_handle!(o2_id, o2_lexp);

                    let expr = crate::Expression::Select {
                        condition: cond_handle,
                        accept: o1_handle,
                        reject: o2_handle,
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::VectorShuffle => {
                    inst.expect_at_least(5)?;
                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let v1_id = self.next()?;
                    let v2_id = self.next()?;

                    let v1_lexp = self.lookup_expression.lookup(v1_id)?;
                    let v1_lty = self.lookup_type.lookup(v1_lexp.type_id)?;
                    let v1_handle = get_expr_handle!(v1_id, v1_lexp);
                    let n1 = match ctx.type_arena[v1_lty.handle].inner {
                        crate::TypeInner::Vector { size, .. } => size as u32,
                        _ => return Err(Error::InvalidInnerType(v1_lexp.type_id)),
                    };
                    let v2_lexp = self.lookup_expression.lookup(v2_id)?;
                    let v2_lty = self.lookup_type.lookup(v2_lexp.type_id)?;
                    let v2_handle = get_expr_handle!(v2_id, v2_lexp);
                    let n2 = match ctx.type_arena[v2_lty.handle].inner {
                        crate::TypeInner::Vector { size, .. } => size as u32,
                        _ => return Err(Error::InvalidInnerType(v2_lexp.type_id)),
                    };

                    self.temp_bytes.clear();
                    let mut max_component = 0;
                    for _ in 5..inst.wc as usize {
                        let mut index = self.next()?;
                        if index == u32::MAX {
                            // treat Undefined as X
                            index = 0;
                        }
                        max_component = max_component.max(index);
                        self.temp_bytes.push(index as u8);
                    }

                    // Check for swizzle first.
                    let expr = if max_component < n1 {
                        use crate::SwizzleComponent as Sc;
                        let size = match self.temp_bytes.len() {
                            2 => crate::VectorSize::Bi,
                            3 => crate::VectorSize::Tri,
                            _ => crate::VectorSize::Quad,
                        };
                        let mut pattern = [Sc::X; 4];
                        for (pat, index) in pattern.iter_mut().zip(self.temp_bytes.drain(..)) {
                            *pat = match index {
                                0 => Sc::X,
                                1 => Sc::Y,
                                2 => Sc::Z,
                                _ => Sc::W,
                            };
                        }
                        crate::Expression::Swizzle {
                            size,
                            vector: v1_handle,
                            pattern,
                        }
                    } else {
                        // Fall back to access + compose
                        let mut components = Vec::with_capacity(self.temp_bytes.len());
                        for index in self.temp_bytes.drain(..).map(|i| i as u32) {
                            let expr = if index < n1 {
                                crate::Expression::AccessIndex {
                                    base: v1_handle,
                                    index,
                                }
                            } else if index < n1 + n2 {
                                crate::Expression::AccessIndex {
                                    base: v2_handle,
                                    index: index - n1,
                                }
                            } else {
                                return Err(Error::InvalidAccessIndex(index));
                            };
                            components.push(ctx.expressions.append(expr, span));
                        }
                        crate::Expression::Compose {
                            ty: self.lookup_type.lookup(result_type_id)?.handle,
                            components,
                        }
                    };

                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::Bitcast
                | Op::ConvertSToF
                | Op::ConvertUToF
                | Op::ConvertFToU
                | Op::ConvertFToS
                | Op::FConvert
                | Op::UConvert
                | Op::SConvert => {
                    inst.expect(4)?;
                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let value_id = self.next()?;

                    let value_lexp = self.lookup_expression.lookup(value_id)?;
                    let ty_lookup = self.lookup_type.lookup(result_type_id)?;
                    let (kind, width) = match ctx.type_arena[ty_lookup.handle].inner {
                        crate::TypeInner::Scalar { kind, width }
                        | crate::TypeInner::Vector { kind, width, .. } => (kind, width),
                        crate::TypeInner::Matrix { width, .. } => (crate::ScalarKind::Float, width),
                        _ => return Err(Error::InvalidAsType(ty_lookup.handle)),
                    };

                    let expr = crate::Expression::As {
                        expr: get_expr_handle!(value_id, value_lexp),
                        kind,
                        convert: if kind == crate::ScalarKind::Bool {
                            Some(crate::BOOL_WIDTH)
                        } else if inst.op == Op::Bitcast {
                            None
                        } else {
                            Some(width)
                        },
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::FunctionCall => {
                    inst.expect_at_least(4)?;
                    block.extend(emitter.finish(ctx.expressions));

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let func_id = self.next()?;

                    let mut arguments = Vec::with_capacity(inst.wc as usize - 4);
                    for _ in 0..arguments.capacity() {
                        let arg_id = self.next()?;
                        let lexp = self.lookup_expression.lookup(arg_id)?;
                        arguments.push(get_expr_handle!(arg_id, lexp));
                    }

                    // We just need an unique handle here, nothing more.
                    let function = self.add_call(ctx.function_id, func_id);

                    let result = if self.lookup_void_type == Some(result_type_id) {
                        None
                    } else {
                        let expr_handle = ctx
                            .expressions
                            .append(crate::Expression::CallResult(function), span);
                        self.lookup_expression.insert(
                            result_id,
                            LookupExpression {
                                handle: expr_handle,
                                type_id: result_type_id,
                                block_id,
                            },
                        );
                        Some(expr_handle)
                    };
                    block.push(
                        crate::Statement::Call {
                            function,
                            arguments,
                            result,
                        },
                        span,
                    );
                    emitter.start(ctx.expressions);
                }
                Op::ExtInst => {
                    use crate::MathFunction as Mf;
                    use spirv::GLOp as Glo;

                    let base_wc = 5;
                    inst.expect_at_least(base_wc)?;

                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let set_id = self.next()?;
                    if Some(set_id) != self.ext_glsl_id {
                        return Err(Error::UnsupportedExtInstSet(set_id));
                    }
                    let inst_id = self.next()?;
                    let gl_op = Glo::from_u32(inst_id).ok_or(Error::UnsupportedExtInst(inst_id))?;

                    let fun = match gl_op {
                        Glo::Round => Mf::Round,
                        Glo::RoundEven => Mf::Round,
                        Glo::Trunc => Mf::Trunc,
                        Glo::FAbs | Glo::SAbs => Mf::Abs,
                        Glo::FSign | Glo::SSign => Mf::Sign,
                        Glo::Floor => Mf::Floor,
                        Glo::Ceil => Mf::Ceil,
                        Glo::Fract => Mf::Fract,
                        Glo::Sin => Mf::Sin,
                        Glo::Cos => Mf::Cos,
                        Glo::Tan => Mf::Tan,
                        Glo::Asin => Mf::Asin,
                        Glo::Acos => Mf::Acos,
                        Glo::Atan => Mf::Atan,
                        Glo::Sinh => Mf::Sinh,
                        Glo::Cosh => Mf::Cosh,
                        Glo::Tanh => Mf::Tanh,
                        Glo::Atan2 => Mf::Atan2,
                        Glo::Asinh => Mf::Asinh,
                        Glo::Acosh => Mf::Acosh,
                        Glo::Atanh => Mf::Atanh,
                        Glo::Radians => Mf::Radians,
                        Glo::Degrees => Mf::Degrees,
                        Glo::Pow => Mf::Pow,
                        Glo::Exp => Mf::Exp,
                        Glo::Log => Mf::Log,
                        Glo::Exp2 => Mf::Exp2,
                        Glo::Log2 => Mf::Log2,
                        Glo::Sqrt => Mf::Sqrt,
                        Glo::InverseSqrt => Mf::InverseSqrt,
                        Glo::MatrixInverse => Mf::Inverse,
                        Glo::Determinant => Mf::Determinant,
                        Glo::Modf => Mf::Modf,
                        Glo::FMin | Glo::UMin | Glo::SMin | Glo::NMin => Mf::Min,
                        Glo::FMax | Glo::UMax | Glo::SMax | Glo::NMax => Mf::Max,
                        Glo::FClamp | Glo::UClamp | Glo::SClamp | Glo::NClamp => Mf::Clamp,
                        Glo::FMix => Mf::Mix,
                        Glo::Step => Mf::Step,
                        Glo::SmoothStep => Mf::SmoothStep,
                        Glo::Fma => Mf::Fma,
                        Glo::Frexp => Mf::Frexp, //TODO: FrexpStruct?
                        Glo::Ldexp => Mf::Ldexp,
                        Glo::Length => Mf::Length,
                        Glo::Distance => Mf::Distance,
                        Glo::Cross => Mf::Cross,
                        Glo::Normalize => Mf::Normalize,
                        Glo::FaceForward => Mf::FaceForward,
                        Glo::Reflect => Mf::Reflect,
                        Glo::Refract => Mf::Refract,
                        Glo::PackUnorm4x8 => Mf::Pack4x8unorm,
                        Glo::PackSnorm4x8 => Mf::Pack4x8snorm,
                        Glo::PackHalf2x16 => Mf::Pack2x16float,
                        Glo::PackUnorm2x16 => Mf::Pack2x16unorm,
                        Glo::PackSnorm2x16 => Mf::Pack2x16snorm,
                        Glo::UnpackUnorm4x8 => Mf::Unpack4x8unorm,
                        Glo::UnpackSnorm4x8 => Mf::Unpack4x8snorm,
                        Glo::UnpackHalf2x16 => Mf::Unpack2x16float,
                        Glo::UnpackUnorm2x16 => Mf::Unpack2x16unorm,
                        Glo::UnpackSnorm2x16 => Mf::Unpack2x16snorm,
                        Glo::FindILsb => Mf::FindLsb,
                        Glo::FindUMsb | Glo::FindSMsb => Mf::FindMsb,
                        _ => return Err(Error::UnsupportedExtInst(inst_id)),
                    };

                    let arg_count = fun.argument_count();
                    inst.expect(base_wc + arg_count as u16)?;
                    let arg = {
                        let arg_id = self.next()?;
                        let lexp = self.lookup_expression.lookup(arg_id)?;
                        get_expr_handle!(arg_id, lexp)
                    };
                    let arg1 = if arg_count > 1 {
                        let arg_id = self.next()?;
                        let lexp = self.lookup_expression.lookup(arg_id)?;
                        Some(get_expr_handle!(arg_id, lexp))
                    } else {
                        None
                    };
                    let arg2 = if arg_count > 2 {
                        let arg_id = self.next()?;
                        let lexp = self.lookup_expression.lookup(arg_id)?;
                        Some(get_expr_handle!(arg_id, lexp))
                    } else {
                        None
                    };
                    let arg3 = if arg_count > 3 {
                        let arg_id = self.next()?;
                        let lexp = self.lookup_expression.lookup(arg_id)?;
                        Some(get_expr_handle!(arg_id, lexp))
                    } else {
                        None
                    };

                    let expr = crate::Expression::Math {
                        fun,
                        arg,
                        arg1,
                        arg2,
                        arg3,
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                // Relational and Logical Instructions
                Op::LogicalNot => {
                    inst.expect(4)?;
                    parse_expr_op!(crate::UnaryOperator::Not, UNARY)?;
                }
                Op::LogicalOr => {
                    inst.expect(5)?;
                    parse_expr_op!(crate::BinaryOperator::LogicalOr, BINARY)?;
                }
                Op::LogicalAnd => {
                    inst.expect(5)?;
                    parse_expr_op!(crate::BinaryOperator::LogicalAnd, BINARY)?;
                }
                Op::SGreaterThan | Op::SGreaterThanEqual | Op::SLessThan | Op::SLessThanEqual => {
                    inst.expect(5)?;
                    self.parse_expr_int_comparison(
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                        map_binary_operator(inst.op)?,
                        crate::ScalarKind::Sint,
                    )?;
                }
                Op::UGreaterThan | Op::UGreaterThanEqual | Op::ULessThan | Op::ULessThanEqual => {
                    inst.expect(5)?;
                    self.parse_expr_int_comparison(
                        ctx,
                        &mut emitter,
                        &mut block,
                        block_id,
                        body_idx,
                        map_binary_operator(inst.op)?,
                        crate::ScalarKind::Uint,
                    )?;
                }
                Op::FOrdEqual
                | Op::FUnordEqual
                | Op::FOrdNotEqual
                | Op::FUnordNotEqual
                | Op::FOrdLessThan
                | Op::FUnordLessThan
                | Op::FOrdGreaterThan
                | Op::FUnordGreaterThan
                | Op::FOrdLessThanEqual
                | Op::FUnordLessThanEqual
                | Op::FOrdGreaterThanEqual
                | Op::FUnordGreaterThanEqual
                | Op::LogicalEqual
                | Op::LogicalNotEqual => {
                    inst.expect(5)?;
                    let operator = map_binary_operator(inst.op)?;
                    parse_expr_op!(operator, BINARY)?;
                }
                Op::Any | Op::All | Op::IsNan | Op::IsInf | Op::IsFinite | Op::IsNormal => {
                    inst.expect(4)?;
                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let arg_id = self.next()?;

                    let arg_lexp = self.lookup_expression.lookup(arg_id)?;
                    let arg_handle = get_expr_handle!(arg_id, arg_lexp);

                    let expr = crate::Expression::Relational {
                        fun: map_relational_fun(inst.op)?,
                        argument: arg_handle,
                    };
                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: ctx.expressions.append(expr, span),
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::Kill => {
                    inst.expect(1)?;
                    break Some(crate::Statement::Kill);
                }
                Op::Unreachable => {
                    inst.expect(1)?;
                    break None;
                }
                Op::Return => {
                    inst.expect(1)?;
                    break Some(crate::Statement::Return { value: None });
                }
                Op::ReturnValue => {
                    inst.expect(2)?;
                    let value_id = self.next()?;
                    let value_lexp = self.lookup_expression.lookup(value_id)?;
                    let value_handle = get_expr_handle!(value_id, value_lexp);
                    break Some(crate::Statement::Return {
                        value: Some(value_handle),
                    });
                }
                Op::Branch => {
                    inst.expect(2)?;
                    let target_id = self.next()?;

                    // If this is a branch to a merge or continue block,
                    // then that ends the current body.
                    if let Some(info) = ctx.mergers.get(&target_id) {
                        block.extend(emitter.finish(ctx.expressions));
                        ctx.blocks.insert(block_id, block);
                        let body = &mut ctx.bodies[body_idx];
                        body.data.push(BodyFragment::BlockId(block_id));

                        merger(body, info);

                        return Ok(());
                    }

                    // Since the target of the branch has no merge information,
                    // this must be the only branch to that block. This means
                    // we can treat it as an extension of the current `Body`.
                    //
                    // NOTE: it's possible that another branch was already made to this block
                    // setting the body index in which case it SHOULD NOT be overridden.
                    // For example a switch with falltrough, the OpSwitch will set the body to
                    // the respective case and the case may branch to another case in which case
                    // the body index shouldn't be changed
                    ctx.body_for_label.entry(target_id).or_insert(body_idx);

                    break None;
                }
                Op::BranchConditional => {
                    inst.expect_at_least(4)?;

                    let condition = {
                        let condition_id = self.next()?;
                        let lexp = self.lookup_expression.lookup(condition_id)?;
                        get_expr_handle!(condition_id, lexp)
                    };

                    block.extend(emitter.finish(ctx.expressions));
                    ctx.blocks.insert(block_id, block);
                    let body = &mut ctx.bodies[body_idx];
                    body.data.push(BodyFragment::BlockId(block_id));

                    let true_id = self.next()?;
                    let false_id = self.next()?;

                    let same_target = true_id == false_id;

                    // Start a body block for the `accept` branch.
                    let accept = ctx.bodies.len();
                    let mut accept_block = Body::with_parent(body_idx);

                    // If the `OpBranchConditional`target is somebody else's
                    // merge or continue block, then put a `Break` or `Continue`
                    // statement in this new body block.
                    if let Some(info) = ctx.mergers.get(&true_id) {
                        merger(
                            match same_target {
                                true => &mut ctx.bodies[body_idx],
                                false => &mut accept_block,
                            },
                            info,
                        )
                    } else {
                        // Note the body index for the block we're branching to.
                        let prev = ctx.body_for_label.insert(
                            true_id,
                            match same_target {
                                true => body_idx,
                                false => accept,
                            },
                        );
                        debug_assert!(prev.is_none());
                    }

                    if same_target {
                        return Ok(());
                    }

                    ctx.bodies.push(accept_block);

                    // Handle the `reject` branch just like the `accept` block.
                    let reject = ctx.bodies.len();
                    let mut reject_block = Body::with_parent(body_idx);

                    if let Some(info) = ctx.mergers.get(&false_id) {
                        merger(&mut reject_block, info)
                    } else {
                        let prev = ctx.body_for_label.insert(false_id, reject);
                        debug_assert!(prev.is_none());
                    }

                    ctx.bodies.push(reject_block);

                    let body = &mut ctx.bodies[body_idx];
                    body.data.push(BodyFragment::If {
                        condition,
                        accept,
                        reject,
                    });

                    // Consume branch weights
                    for _ in 4..inst.wc {
                        let _ = self.next()?;
                    }

                    return Ok(());
                }
                Op::Switch => {
                    inst.expect_at_least(3)?;
                    let selector = self.next()?;
                    let default_id = self.next()?;

                    // If the previous instruction was a `OpSelectionMerge` then we must
                    // promote the `MergeBlockInformation` to a `SwitchMerge`
                    if let Some(merge) = selection_merge_block {
                        ctx.mergers
                            .insert(merge, MergeBlockInformation::SwitchMerge);
                    }

                    let default = ctx.bodies.len();
                    ctx.bodies.push(Body::with_parent(body_idx));
                    ctx.body_for_label.entry(default_id).or_insert(default);

                    let selector_lexp = &self.lookup_expression[&selector];
                    let selector_lty = self.lookup_type.lookup(selector_lexp.type_id)?;
                    let selector_handle = get_expr_handle!(selector, selector_lexp);
                    let selector = match ctx.type_arena[selector_lty.handle].inner {
                        crate::TypeInner::Scalar {
                            kind: crate::ScalarKind::Uint,
                            width: _,
                        } => {
                            // IR expects a signed integer, so do a bitcast
                            ctx.expressions.append(
                                crate::Expression::As {
                                    kind: crate::ScalarKind::Sint,
                                    expr: selector_handle,
                                    convert: None,
                                },
                                span,
                            )
                        }
                        crate::TypeInner::Scalar {
                            kind: crate::ScalarKind::Sint,
                            width: _,
                        } => selector_handle,
                        ref other => unimplemented!("Unexpected selector {:?}", other),
                    };

                    // Clear past switch cases to prevent them from entering this one
                    self.switch_cases.clear();

                    for _ in 0..(inst.wc - 3) / 2 {
                        let literal = self.next()?;
                        let target = self.next()?;

                        let case_body_idx = ctx.bodies.len();

                        // Check if any previous case already used this target block id, if so
                        // group them together to reorder them later so that no weird
                        // falltrough cases happen.
                        if let Some(&mut (_, ref mut literals)) = self.switch_cases.get_mut(&target)
                        {
                            literals.push(literal as i32);
                            continue;
                        }

                        let mut body = Body::with_parent(body_idx);

                        if let Some(info) = ctx.mergers.get(&target) {
                            merger(&mut body, info);
                        }

                        ctx.bodies.push(body);
                        ctx.body_for_label.entry(target).or_insert(case_body_idx);

                        // Register this target block id as already having been processed and
                        // the respective body index assigned and the first case value
                        self.switch_cases
                            .insert(target, (case_body_idx, vec![literal as i32]));
                    }

                    // Loop trough the collected target blocks creating a new case for each
                    // literal pointing to it, only one case will have the true body and all the
                    // others will be empty falltrough so that they all execute the same body
                    // without duplicating code.
                    //
                    // Since `switch_cases` is an indexmap the order of insertion is preserved
                    // this is needed because spir-v defines falltrough order in the switch
                    // instruction.
                    let mut cases = Vec::with_capacity((inst.wc as usize - 3) / 2);
                    for &(case_body_idx, ref literals) in self.switch_cases.values() {
                        let value = literals[0];

                        for &literal in literals.iter().skip(1) {
                            let empty_body_idx = ctx.bodies.len();
                            let body = Body::with_parent(body_idx);

                            ctx.bodies.push(body);

                            cases.push((literal, empty_body_idx));
                        }

                        cases.push((value, case_body_idx));
                    }

                    block.extend(emitter.finish(ctx.expressions));

                    let body = &mut ctx.bodies[body_idx];
                    ctx.blocks.insert(block_id, block);
                    // Make sure the vector has space for at least two more allocations
                    body.data.reserve(2);
                    body.data.push(BodyFragment::BlockId(block_id));
                    body.data.push(BodyFragment::Switch {
                        selector,
                        cases,
                        default,
                    });

                    return Ok(());
                }
                Op::SelectionMerge => {
                    inst.expect(3)?;
                    let merge_block_id = self.next()?;
                    // TODO: Selection Control Mask
                    let _selection_control = self.next()?;

                    // Indicate that the merge block is a continuation of the
                    // current `Body`.
                    ctx.body_for_label.entry(merge_block_id).or_insert(body_idx);

                    // Let subsequent branches to the merge block know that
                    // they've reached the end of the selection construct.
                    ctx.mergers
                        .insert(merge_block_id, MergeBlockInformation::SelectionMerge);

                    selection_merge_block = Some(merge_block_id);
                }
                Op::LoopMerge => {
                    inst.expect_at_least(4)?;
                    let merge_block_id = self.next()?;
                    let continuing = self.next()?;

                    // TODO: Loop Control Parameters
                    for _ in 0..inst.wc - 3 {
                        self.next()?;
                    }

                    // Indicate that the merge block is a continuation of the
                    // current `Body`.
                    ctx.body_for_label.entry(merge_block_id).or_insert(body_idx);
                    // Let subsequent branches to the merge block know that
                    // they're `Break` statements.
                    ctx.mergers
                        .insert(merge_block_id, MergeBlockInformation::LoopMerge);

                    let loop_body_idx = ctx.bodies.len();
                    ctx.bodies.push(Body::with_parent(body_idx));

                    let continue_idx = ctx.bodies.len();
                    // The continue block inherits the scope of the loop body
                    ctx.bodies.push(Body::with_parent(loop_body_idx));
                    ctx.body_for_label.entry(continuing).or_insert(continue_idx);
                    // Let subsequent branches to the continue block know that
                    // they're `Continue` statements.
                    ctx.mergers
                        .insert(continuing, MergeBlockInformation::LoopContinue);

                    // The loop header always belongs to the loop body
                    ctx.body_for_label.insert(block_id, loop_body_idx);

                    let parent_body = &mut ctx.bodies[body_idx];
                    parent_body.data.push(BodyFragment::Loop {
                        body: loop_body_idx,
                        continuing: continue_idx,
                    });
                    body_idx = loop_body_idx;
                }
                Op::DPdx | Op::DPdxFine | Op::DPdxCoarse => {
                    parse_expr_op!(crate::DerivativeAxis::X, DERIVATIVE)?;
                }
                Op::DPdy | Op::DPdyFine | Op::DPdyCoarse => {
                    parse_expr_op!(crate::DerivativeAxis::Y, DERIVATIVE)?;
                }
                Op::Fwidth | Op::FwidthFine | Op::FwidthCoarse => {
                    parse_expr_op!(crate::DerivativeAxis::Width, DERIVATIVE)?;
                }
                Op::ArrayLength => {
                    inst.expect(5)?;
                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let structure_id = self.next()?;
                    let member_index = self.next()?;

                    // We're assuming that the validation pass, if it's run, will catch if the
                    // wrong types or parameters are supplied here.

                    let structure_ptr = self.lookup_expression.lookup(structure_id)?;
                    let structure_handle = get_expr_handle!(structure_id, structure_ptr);

                    let member_ptr = ctx.expressions.append(
                        crate::Expression::AccessIndex {
                            base: structure_handle,
                            index: member_index,
                        },
                        span,
                    );

                    let length = ctx
                        .expressions
                        .append(crate::Expression::ArrayLength(member_ptr), span);

                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle: length,
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                Op::CopyMemory => {
                    inst.expect_at_least(3)?;
                    let target_id = self.next()?;
                    let source_id = self.next()?;
                    let _memory_access = if inst.wc != 3 {
                        inst.expect(4)?;
                        spirv::MemoryAccess::from_bits(self.next()?)
                            .ok_or(Error::InvalidParameter(Op::CopyMemory))?
                    } else {
                        spirv::MemoryAccess::NONE
                    };

                    // TODO: check if the source and target types are the same?
                    let target = self.lookup_expression.lookup(target_id)?;
                    let target_handle = get_expr_handle!(target_id, target);
                    let source = self.lookup_expression.lookup(source_id)?;
                    let source_handle = get_expr_handle!(source_id, source);

                    // This operation is practically the same as loading and then storing, I think.
                    let value_expr = ctx.expressions.append(
                        crate::Expression::Load {
                            pointer: source_handle,
                        },
                        span,
                    );

                    block.extend(emitter.finish(ctx.expressions));
                    block.push(
                        crate::Statement::Store {
                            pointer: target_handle,
                            value: value_expr,
                        },
                        span,
                    );

                    emitter.start(ctx.expressions);
                }
                Op::ControlBarrier => {
                    inst.expect(4)?;
                    let exec_scope_id = self.next()?;
                    let _mem_scope_raw = self.next()?;
                    let semantics_id = self.next()?;
                    let exec_scope_const = self.lookup_constant.lookup(exec_scope_id)?;
                    let semantics_const = self.lookup_constant.lookup(semantics_id)?;
                    let exec_scope = match ctx.const_arena[exec_scope_const.handle].inner {
                        crate::ConstantInner::Scalar {
                            value: crate::ScalarValue::Uint(raw),
                            width: _,
                        } => raw as u32,
                        _ => return Err(Error::InvalidBarrierScope(exec_scope_id)),
                    };
                    let semantics = match ctx.const_arena[semantics_const.handle].inner {
                        crate::ConstantInner::Scalar {
                            value: crate::ScalarValue::Uint(raw),
                            width: _,
                        } => raw as u32,
                        _ => return Err(Error::InvalidBarrierMemorySemantics(semantics_id)),
                    };
                    if exec_scope == spirv::Scope::Workgroup as u32 {
                        let mut flags = crate::Barrier::empty();
                        flags.set(
                            crate::Barrier::STORAGE,
                            semantics & spirv::MemorySemantics::UNIFORM_MEMORY.bits() != 0,
                        );
                        flags.set(
                            crate::Barrier::WORK_GROUP,
                            semantics
                                & (spirv::MemorySemantics::SUBGROUP_MEMORY
                                    | spirv::MemorySemantics::WORKGROUP_MEMORY)
                                    .bits()
                                != 0,
                        );
                        block.push(crate::Statement::Barrier(flags), span);
                    } else {
                        log::warn!("Unsupported barrier execution scope: {}", exec_scope);
                    }
                }
                Op::CopyObject => {
                    inst.expect(4)?;
                    let result_type_id = self.next()?;
                    let result_id = self.next()?;
                    let operand_id = self.next()?;

                    let lookup = self.lookup_expression.lookup(operand_id)?;
                    let handle = get_expr_handle!(operand_id, lookup);

                    self.lookup_expression.insert(
                        result_id,
                        LookupExpression {
                            handle,
                            type_id: result_type_id,
                            block_id,
                        },
                    );
                }
                _ => return Err(Error::UnsupportedInstruction(self.state, inst.op)),
            }
        };

        block.extend(emitter.finish(ctx.expressions));
        if let Some(stmt) = terminator {
            block.push(stmt, crate::Span::default());
        }

        // Save this block fragment in `block_ctx.blocks`, and mark it to be
        // incorporated into the current body at `Statement` assembly time.
        ctx.blocks.insert(block_id, block);
        let body = &mut ctx.bodies[body_idx];
        body.data.push(BodyFragment::BlockId(block_id));
        Ok(())
    }

    fn make_expression_storage(
        &mut self,
        globals: &Arena<crate::GlobalVariable>,
        constants: &Arena<crate::Constant>,
    ) -> Arena<crate::Expression> {
        let mut expressions = Arena::new();
        #[allow(clippy::panic)]
        {
            assert!(self.lookup_expression.is_empty());
        }
        // register global variables
        for (&id, var) in self.lookup_variable.iter() {
            let span = globals.get_span(var.handle);
            let handle = expressions.append(crate::Expression::GlobalVariable(var.handle), span);
            self.lookup_expression.insert(
                id,
                LookupExpression {
                    type_id: var.type_id,
                    handle,
                    // Setting this to an invalid id will cause get_expr_handle
                    // to default to the main body making sure no load/stores
                    // are added.
                    block_id: 0,
                },
            );
        }
        // register special constants
        self.index_constant_expressions.clear();
        for &con_handle in self.index_constants.iter() {
            let span = constants.get_span(con_handle);
            let handle = expressions.append(crate::Expression::Constant(con_handle), span);
            self.index_constant_expressions.push(handle);
        }
        // register constants
        for (&id, con) in self.lookup_constant.iter() {
            let span = constants.get_span(con.handle);
            let handle = expressions.append(crate::Expression::Constant(con.handle), span);
            self.lookup_expression.insert(
                id,
                LookupExpression {
                    type_id: con.type_id,
                    handle,
                    // Setting this to an invalid id will cause get_expr_handle
                    // to default to the main body making sure no load/stores
                    // are added.
                    block_id: 0,
                },
            );
        }
        // done
        expressions
    }

    fn switch(&mut self, state: ModuleState, op: spirv::Op) -> Result<(), Error> {
        if state < self.state {
            Err(Error::UnsupportedInstruction(self.state, op))
        } else {
            self.state = state;
            Ok(())
        }
    }

    /// Walk the statement tree and patch it in the following cases:
    /// 1. Function call targets are replaced by `deferred_function_calls` map
    fn patch_statements(
        &mut self,
        statements: &mut crate::Block,
        expressions: &mut Arena<crate::Expression>,
        fun_parameter_sampling: &mut [image::SamplingFlags],
    ) -> Result<(), Error> {
        use crate::Statement as S;
        let mut i = 0usize;
        while i < statements.len() {
            match statements[i] {
                S::Emit(_) => {}
                S::Block(ref mut block) => {
                    self.patch_statements(block, expressions, fun_parameter_sampling)?;
                }
                S::If {
                    condition: _,
                    ref mut accept,
                    ref mut reject,
                } => {
                    self.patch_statements(reject, expressions, fun_parameter_sampling)?;
                    self.patch_statements(accept, expressions, fun_parameter_sampling)?;
                }
                S::Switch {
                    selector: _,
                    ref mut cases,
                } => {
                    for case in cases.iter_mut() {
                        self.patch_statements(&mut case.body, expressions, fun_parameter_sampling)?;
                    }
                }
                S::Loop {
                    ref mut body,
                    ref mut continuing,
                    break_if: _,
                } => {
                    self.patch_statements(body, expressions, fun_parameter_sampling)?;
                    self.patch_statements(continuing, expressions, fun_parameter_sampling)?;
                }
                S::Break
                | S::Continue
                | S::Return { .. }
                | S::Kill
                | S::Barrier(_)
                | S::Store { .. }
                | S::ImageStore { .. }
                | S::Atomic { .. } => {}
                S::Call {
                    function: ref mut callee,
                    ref arguments,
                    ..
                } => {
                    let fun_id = self.deferred_function_calls[callee.index()];
                    let fun_lookup = self.lookup_function.lookup(fun_id)?;
                    *callee = fun_lookup.handle;

                    // Patch sampling flags
                    for (arg_index, arg) in arguments.iter().enumerate() {
                        let flags = match fun_lookup.parameters_sampling.get(arg_index) {
                            Some(&flags) if !flags.is_empty() => flags,
                            _ => continue,
                        };

                        match expressions[*arg] {
                            crate::Expression::GlobalVariable(handle) => {
                                if let Some(sampling) = self.handle_sampling.get_mut(&handle) {
                                    *sampling |= flags
                                }
                            }
                            crate::Expression::FunctionArgument(i) => {
                                fun_parameter_sampling[i as usize] |= flags;
                            }
                            ref other => return Err(Error::InvalidGlobalVar(other.clone())),
                        }
                    }
                }
            }
            i += 1;
        }
        Ok(())
    }

    fn patch_function(
        &mut self,
        handle: Option<Handle<crate::Function>>,
        fun: &mut crate::Function,
    ) -> Result<(), Error> {
        // Note: this search is a bit unfortunate
        let (fun_id, mut parameters_sampling) = match handle {
            Some(h) => {
                let (&fun_id, lookup) = self
                    .lookup_function
                    .iter_mut()
                    .find(|&(_, ref lookup)| lookup.handle == h)
                    .unwrap();
                (fun_id, mem::take(&mut lookup.parameters_sampling))
            }
            None => (0, Vec::new()),
        };

        for (_, expr) in fun.expressions.iter_mut() {
            if let crate::Expression::CallResult(ref mut function) = *expr {
                let fun_id = self.deferred_function_calls[function.index()];
                *function = self.lookup_function.lookup(fun_id)?.handle;
            }
        }

        self.patch_statements(
            &mut fun.body,
            &mut fun.expressions,
            &mut parameters_sampling,
        )?;

        if let Some(lookup) = self.lookup_function.get_mut(&fun_id) {
            lookup.parameters_sampling = parameters_sampling;
        }
        Ok(())
    }

    pub fn parse(mut self) -> Result<crate::Module, Error> {
        let mut module = {
            if self.next()? != spirv::MAGIC_NUMBER {
                return Err(Error::InvalidHeader);
            }
            let version_raw = self.next()?;
            let generator = self.next()?;
            let _bound = self.next()?;
            let _schema = self.next()?;
            log::info!("Generated by {} version {:x}", generator, version_raw);
            crate::Module::default()
        };

        // register indexing constants
        self.index_constants.clear();
        for i in 0..4 {
            let handle = module.constants.append(
                crate::Constant {
                    name: None,
                    specialization: None,
                    inner: crate::ConstantInner::Scalar {
                        width: 4,
                        value: crate::ScalarValue::Sint(i),
                    },
                },
                Default::default(),
            );
            self.index_constants.push(handle);
        }

        self.layouter.clear();
        self.dummy_functions = Arena::new();
        self.lookup_function.clear();
        self.function_call_graph.clear();

        loop {
            use spirv::Op;

            let inst = match self.next_inst() {
                Ok(inst) => inst,
                Err(Error::IncompleteData) => break,
                Err(other) => return Err(other),
            };
            log::debug!("\t{:?} [{}]", inst.op, inst.wc);

            match inst.op {
                Op::Capability => self.parse_capability(inst),
                Op::Extension => self.parse_extension(inst),
                Op::ExtInstImport => self.parse_ext_inst_import(inst),
                Op::MemoryModel => self.parse_memory_model(inst),
                Op::EntryPoint => self.parse_entry_point(inst),
                Op::ExecutionMode => self.parse_execution_mode(inst),
                Op::String => self.parse_string(inst),
                Op::Source => self.parse_source(inst),
                Op::SourceExtension => self.parse_source_extension(inst),
                Op::Name => self.parse_name(inst),
                Op::MemberName => self.parse_member_name(inst),
                Op::ModuleProcessed => self.parse_module_processed(inst),
                Op::Decorate => self.parse_decorate(inst),
                Op::MemberDecorate => self.parse_member_decorate(inst),
                Op::TypeVoid => self.parse_type_void(inst),
                Op::TypeBool => self.parse_type_bool(inst, &mut module),
                Op::TypeInt => self.parse_type_int(inst, &mut module),
                Op::TypeFloat => self.parse_type_float(inst, &mut module),
                Op::TypeVector => self.parse_type_vector(inst, &mut module),
                Op::TypeMatrix => self.parse_type_matrix(inst, &mut module),
                Op::TypeFunction => self.parse_type_function(inst),
                Op::TypePointer => self.parse_type_pointer(inst, &mut module),
                Op::TypeArray => self.parse_type_array(inst, &mut module),
                Op::TypeRuntimeArray => self.parse_type_runtime_array(inst, &mut module),
                Op::TypeStruct => self.parse_type_struct(inst, &mut module),
                Op::TypeImage => self.parse_type_image(inst, &mut module),
                Op::TypeSampledImage => self.parse_type_sampled_image(inst),
                Op::TypeSampler => self.parse_type_sampler(inst, &mut module),
                Op::Constant | Op::SpecConstant => self.parse_constant(inst, &mut module),
                Op::ConstantComposite => self.parse_composite_constant(inst, &mut module),
                Op::ConstantNull | Op::Undef => self
                    .parse_null_constant(inst, &module.types, &mut module.constants)
                    .map(|_| ()),
                Op::ConstantTrue => self.parse_bool_constant(inst, true, &mut module),
                Op::ConstantFalse => self.parse_bool_constant(inst, false, &mut module),
                Op::Variable => self.parse_global_variable(inst, &mut module),
                Op::Function => {
                    self.switch(ModuleState::Function, inst.op)?;
                    inst.expect(5)?;
                    self.parse_function(&mut module)
                }
                _ => Err(Error::UnsupportedInstruction(self.state, inst.op)), //TODO
            }?;
        }

        log::info!("Patching...");
        {
            let mut nodes = petgraph::algo::toposort(&self.function_call_graph, None)
                .map_err(|cycle| Error::FunctionCallCycle(cycle.node_id()))?;
            nodes.reverse(); // we need dominated first
            let mut functions = mem::take(&mut module.functions);
            for fun_id in nodes {
                if fun_id > !(functions.len() as u32) {
                    // skip all the fake IDs registered for the entry points
                    continue;
                }
                let lookup = self.lookup_function.get_mut(&fun_id).unwrap();
                // take out the function from the old array
                let fun = mem::take(&mut functions[lookup.handle]);
                // add it to the newly formed arena, and adjust the lookup
                lookup.handle = module
                    .functions
                    .append(fun, functions.get_span(lookup.handle));
            }
        }
        // patch all the functions
        for (handle, fun) in module.functions.iter_mut() {
            self.patch_function(Some(handle), fun)?;
        }
        for ep in module.entry_points.iter_mut() {
            self.patch_function(None, &mut ep.function)?;
        }

        // Check all the images and samplers to have consistent comparison property.
        for (handle, flags) in self.handle_sampling.drain() {
            if !image::patch_comparison_type(
                flags,
                module.global_variables.get_mut(handle),
                &mut module.types,
            ) {
                return Err(Error::InconsistentComparisonSampling(handle));
            }
        }

        if !self.future_decor.is_empty() {
            log::warn!("Unused item decorations: {:?}", self.future_decor);
            self.future_decor.clear();
        }
        if !self.future_member_decor.is_empty() {
            log::warn!("Unused member decorations: {:?}", self.future_member_decor);
            self.future_member_decor.clear();
        }

        Ok(module)
    }

    fn parse_capability(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Capability, inst.op)?;
        inst.expect(2)?;
        let capability = self.next()?;
        let cap =
            spirv::Capability::from_u32(capability).ok_or(Error::UnknownCapability(capability))?;
        if !SUPPORTED_CAPABILITIES.contains(&cap) {
            if self.options.strict_capabilities {
                return Err(Error::UnsupportedCapability(cap));
            } else {
                log::warn!("Unknown capability {:?}", cap);
            }
        }
        Ok(())
    }

    fn parse_extension(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Extension, inst.op)?;
        inst.expect_at_least(2)?;
        let (name, left) = self.next_string(inst.wc - 1)?;
        if left != 0 {
            return Err(Error::InvalidOperand);
        }
        if !SUPPORTED_EXTENSIONS.contains(&name.as_str()) {
            return Err(Error::UnsupportedExtension(name));
        }
        Ok(())
    }

    fn parse_ext_inst_import(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Extension, inst.op)?;
        inst.expect_at_least(3)?;
        let result_id = self.next()?;
        let (name, left) = self.next_string(inst.wc - 2)?;
        if left != 0 {
            return Err(Error::InvalidOperand);
        }
        if !SUPPORTED_EXT_SETS.contains(&name.as_str()) {
            return Err(Error::UnsupportedExtSet(name));
        }
        self.ext_glsl_id = Some(result_id);
        Ok(())
    }

    fn parse_memory_model(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::MemoryModel, inst.op)?;
        inst.expect(3)?;
        let _addressing_model = self.next()?;
        let _memory_model = self.next()?;
        Ok(())
    }

    fn parse_entry_point(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::EntryPoint, inst.op)?;
        inst.expect_at_least(4)?;
        let exec_model = self.next()?;
        let exec_model = spirv::ExecutionModel::from_u32(exec_model)
            .ok_or(Error::UnsupportedExecutionModel(exec_model))?;
        let function_id = self.next()?;
        let (name, left) = self.next_string(inst.wc - 3)?;
        let ep = EntryPoint {
            stage: match exec_model {
                spirv::ExecutionModel::Vertex => crate::ShaderStage::Vertex,
                spirv::ExecutionModel::Fragment => crate::ShaderStage::Fragment,
                spirv::ExecutionModel::GLCompute => crate::ShaderStage::Compute,
                _ => return Err(Error::UnsupportedExecutionModel(exec_model as u32)),
            },
            name,
            early_depth_test: None,
            workgroup_size: [0; 3],
            variable_ids: self.data.by_ref().take(left as usize).collect(),
        };
        self.lookup_entry_point.insert(function_id, ep);
        Ok(())
    }

    fn parse_execution_mode(&mut self, inst: Instruction) -> Result<(), Error> {
        use spirv::ExecutionMode;

        self.switch(ModuleState::ExecutionMode, inst.op)?;
        inst.expect_at_least(3)?;

        let ep_id = self.next()?;
        let mode_id = self.next()?;
        let args: Vec<spirv::Word> = self.data.by_ref().take(inst.wc as usize - 3).collect();

        let ep = self
            .lookup_entry_point
            .get_mut(&ep_id)
            .ok_or(Error::InvalidId(ep_id))?;
        let mode = spirv::ExecutionMode::from_u32(mode_id)
            .ok_or(Error::UnsupportedExecutionMode(mode_id))?;

        match mode {
            ExecutionMode::EarlyFragmentTests => {
                if ep.early_depth_test.is_none() {
                    ep.early_depth_test = Some(crate::EarlyDepthTest { conservative: None });
                }
            }
            ExecutionMode::DepthUnchanged => {
                ep.early_depth_test = Some(crate::EarlyDepthTest {
                    conservative: Some(crate::ConservativeDepth::Unchanged),
                });
            }
            ExecutionMode::DepthGreater => {
                ep.early_depth_test = Some(crate::EarlyDepthTest {
                    conservative: Some(crate::ConservativeDepth::GreaterEqual),
                });
            }
            ExecutionMode::DepthLess => {
                ep.early_depth_test = Some(crate::EarlyDepthTest {
                    conservative: Some(crate::ConservativeDepth::LessEqual),
                });
            }
            ExecutionMode::DepthReplacing => {
                // Ignored because it can be deduced from the IR.
            }
            ExecutionMode::OriginUpperLeft => {
                // Ignored because the other option (OriginLowerLeft) is not valid in Vulkan mode.
            }
            ExecutionMode::LocalSize => {
                ep.workgroup_size = [args[0], args[1], args[2]];
            }
            _ => {
                return Err(Error::UnsupportedExecutionMode(mode_id));
            }
        }

        Ok(())
    }

    fn parse_string(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Source, inst.op)?;
        inst.expect_at_least(3)?;
        let _id = self.next()?;
        let (_name, _) = self.next_string(inst.wc - 2)?;
        Ok(())
    }

    fn parse_source(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Source, inst.op)?;
        for _ in 1..inst.wc {
            let _ = self.next()?;
        }
        Ok(())
    }

    fn parse_source_extension(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Source, inst.op)?;
        inst.expect_at_least(2)?;
        let (_name, _) = self.next_string(inst.wc - 1)?;
        Ok(())
    }

    fn parse_name(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Name, inst.op)?;
        inst.expect_at_least(3)?;
        let id = self.next()?;
        let (name, left) = self.next_string(inst.wc - 2)?;
        if left != 0 {
            return Err(Error::InvalidOperand);
        }
        self.future_decor.entry(id).or_default().name = Some(name);
        Ok(())
    }

    fn parse_member_name(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Name, inst.op)?;
        inst.expect_at_least(4)?;
        let id = self.next()?;
        let member = self.next()?;
        let (name, left) = self.next_string(inst.wc - 3)?;
        if left != 0 {
            return Err(Error::InvalidOperand);
        }

        self.future_member_decor
            .entry((id, member))
            .or_default()
            .name = Some(name);
        Ok(())
    }

    fn parse_module_processed(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Name, inst.op)?;
        inst.expect_at_least(2)?;
        let (_info, left) = self.next_string(inst.wc - 1)?;
        //Note: string is ignored
        if left != 0 {
            return Err(Error::InvalidOperand);
        }
        Ok(())
    }

    fn parse_decorate(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Annotation, inst.op)?;
        inst.expect_at_least(3)?;
        let id = self.next()?;
        let mut dec = self.future_decor.remove(&id).unwrap_or_default();
        self.next_decoration(inst, 2, &mut dec)?;
        self.future_decor.insert(id, dec);
        Ok(())
    }

    fn parse_member_decorate(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Annotation, inst.op)?;
        inst.expect_at_least(4)?;
        let id = self.next()?;
        let member = self.next()?;

        let mut dec = self
            .future_member_decor
            .remove(&(id, member))
            .unwrap_or_default();
        self.next_decoration(inst, 3, &mut dec)?;
        self.future_member_decor.insert((id, member), dec);
        Ok(())
    }

    fn parse_type_void(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(2)?;
        let id = self.next()?;
        self.lookup_void_type = Some(id);
        Ok(())
    }

    fn parse_type_bool(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(2)?;
        let id = self.next()?;
        let inner = crate::TypeInner::Scalar {
            kind: crate::ScalarKind::Bool,
            width: crate::BOOL_WIDTH,
        };
        self.lookup_type.insert(
            id,
            LookupType {
                handle: module.types.insert(
                    crate::Type {
                        name: self.future_decor.remove(&id).and_then(|dec| dec.name),
                        inner,
                    },
                    self.span_from_with_op(start),
                ),
                base_id: None,
            },
        );
        Ok(())
    }

    fn parse_type_int(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(4)?;
        let id = self.next()?;
        let width = self.next()?;
        let sign = self.next()?;
        let inner = crate::TypeInner::Scalar {
            kind: match sign {
                0 => crate::ScalarKind::Uint,
                1 => crate::ScalarKind::Sint,
                _ => return Err(Error::InvalidSign(sign)),
            },
            width: map_width(width)?,
        };
        self.lookup_type.insert(
            id,
            LookupType {
                handle: module.types.insert(
                    crate::Type {
                        name: self.future_decor.remove(&id).and_then(|dec| dec.name),
                        inner,
                    },
                    self.span_from_with_op(start),
                ),
                base_id: None,
            },
        );
        Ok(())
    }

    fn parse_type_float(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(3)?;
        let id = self.next()?;
        let width = self.next()?;
        let inner = crate::TypeInner::Scalar {
            kind: crate::ScalarKind::Float,
            width: map_width(width)?,
        };
        self.lookup_type.insert(
            id,
            LookupType {
                handle: module.types.insert(
                    crate::Type {
                        name: self.future_decor.remove(&id).and_then(|dec| dec.name),
                        inner,
                    },
                    self.span_from_with_op(start),
                ),
                base_id: None,
            },
        );
        Ok(())
    }

    fn parse_type_vector(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(4)?;
        let id = self.next()?;
        let type_id = self.next()?;
        let type_lookup = self.lookup_type.lookup(type_id)?;
        let (kind, width) = match module.types[type_lookup.handle].inner {
            crate::TypeInner::Scalar { kind, width } => (kind, width),
            _ => return Err(Error::InvalidInnerType(type_id)),
        };
        let component_count = self.next()?;
        let inner = crate::TypeInner::Vector {
            size: map_vector_size(component_count)?,
            kind,
            width,
        };
        self.lookup_type.insert(
            id,
            LookupType {
                handle: module.types.insert(
                    crate::Type {
                        name: self.future_decor.remove(&id).and_then(|dec| dec.name),
                        inner,
                    },
                    self.span_from_with_op(start),
                ),
                base_id: Some(type_id),
            },
        );
        Ok(())
    }

    fn parse_type_matrix(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(4)?;
        let id = self.next()?;
        let vector_type_id = self.next()?;
        let num_columns = self.next()?;
        let decor = self.future_decor.remove(&id);

        let vector_type_lookup = self.lookup_type.lookup(vector_type_id)?;
        let inner = match module.types[vector_type_lookup.handle].inner {
            crate::TypeInner::Vector { size, width, .. } => crate::TypeInner::Matrix {
                columns: map_vector_size(num_columns)?,
                rows: size,
                width,
            },
            _ => return Err(Error::InvalidInnerType(vector_type_id)),
        };

        self.lookup_type.insert(
            id,
            LookupType {
                handle: module.types.insert(
                    crate::Type {
                        name: decor.and_then(|dec| dec.name),
                        inner,
                    },
                    self.span_from_with_op(start),
                ),
                base_id: Some(vector_type_id),
            },
        );
        Ok(())
    }

    fn parse_type_function(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect_at_least(3)?;
        let id = self.next()?;
        let return_type_id = self.next()?;
        let parameter_type_ids = self.data.by_ref().take(inst.wc as usize - 3).collect();
        self.lookup_function_type.insert(
            id,
            LookupFunctionType {
                parameter_type_ids,
                return_type_id,
            },
        );
        Ok(())
    }

    fn parse_type_pointer(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(4)?;
        let id = self.next()?;
        let storage_class = self.next()?;
        let type_id = self.next()?;

        let decor = self.future_decor.remove(&id);
        let base_lookup_ty = self.lookup_type.lookup(type_id)?;
        let base_inner = &module.types[base_lookup_ty.handle].inner;
        let space = if let Some(space) = base_inner.pointer_space() {
            space
        } else if self
            .lookup_storage_buffer_types
            .contains_key(&base_lookup_ty.handle)
        {
            crate::AddressSpace::Storage {
                access: crate::StorageAccess::default(),
            }
        } else {
            match map_storage_class(storage_class)? {
                ExtendedClass::Global(space) => space,
                ExtendedClass::Input | ExtendedClass::Output => crate::AddressSpace::Private,
            }
        };

        // We don't support pointers to runtime-sized arrays in the `Uniform`
        // storage class with the `BufferBlock` decoration. Runtime-sized arrays
        // should be in the StorageBuffer class.
        if let crate::TypeInner::Array {
            size: crate::ArraySize::Dynamic,
            ..
        } = *base_inner
        {
            match space {
                crate::AddressSpace::Storage { .. } => {}
                _ => {
                    return Err(Error::UnsupportedRuntimeArrayStorageClass);
                }
            }
        }

        // Don't bother with pointer stuff for `Handle` types.
        let lookup_ty = if space == crate::AddressSpace::Handle {
            base_lookup_ty.clone()
        } else {
            LookupType {
                handle: module.types.insert(
                    crate::Type {
                        name: decor.and_then(|dec| dec.name),
                        inner: crate::TypeInner::Pointer {
                            base: base_lookup_ty.handle,
                            space,
                        },
                    },
                    self.span_from_with_op(start),
                ),
                base_id: Some(type_id),
            }
        };
        self.lookup_type.insert(id, lookup_ty);
        Ok(())
    }

    fn parse_type_array(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(4)?;
        let id = self.next()?;
        let type_id = self.next()?;
        let length_id = self.next()?;
        let length_const = self.lookup_constant.lookup(length_id)?;

        let decor = self.future_decor.remove(&id).unwrap_or_default();
        let base = self.lookup_type.lookup(type_id)?.handle;
        self.layouter
            .update(&module.types, &module.constants)
            .unwrap();
        let inner = crate::TypeInner::Array {
            base,
            size: crate::ArraySize::Constant(length_const.handle),
            stride: match decor.array_stride {
                Some(stride) => stride.get(),
                None => self.layouter[base].to_stride(),
            },
        };
        self.lookup_type.insert(
            id,
            LookupType {
                handle: module.types.insert(
                    crate::Type {
                        name: decor.name,
                        inner,
                    },
                    self.span_from_with_op(start),
                ),
                base_id: Some(type_id),
            },
        );
        Ok(())
    }

    fn parse_type_runtime_array(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(3)?;
        let id = self.next()?;
        let type_id = self.next()?;

        let decor = self.future_decor.remove(&id).unwrap_or_default();
        let base = self.lookup_type.lookup(type_id)?.handle;
        self.layouter
            .update(&module.types, &module.constants)
            .unwrap();
        let inner = crate::TypeInner::Array {
            base: self.lookup_type.lookup(type_id)?.handle,
            size: crate::ArraySize::Dynamic,
            stride: match decor.array_stride {
                Some(stride) => stride.get(),
                None => self.layouter[base].to_stride(),
            },
        };
        self.lookup_type.insert(
            id,
            LookupType {
                handle: module.types.insert(
                    crate::Type {
                        name: decor.name,
                        inner,
                    },
                    self.span_from_with_op(start),
                ),
                base_id: Some(type_id),
            },
        );
        Ok(())
    }

    fn parse_type_struct(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect_at_least(2)?;
        let id = self.next()?;
        let parent_decor = self.future_decor.remove(&id);
        let is_storage_buffer = parent_decor
            .as_ref()
            .map_or(false, |decor| decor.storage_buffer);

        self.layouter
            .update(&module.types, &module.constants)
            .unwrap();

        let mut members = Vec::<crate::StructMember>::with_capacity(inst.wc as usize - 2);
        let mut member_lookups = Vec::with_capacity(members.capacity());
        let mut storage_access = crate::StorageAccess::empty();
        let mut span = 0;
        let mut alignment = Alignment::ONE;
        for i in 0..u32::from(inst.wc) - 2 {
            let type_id = self.next()?;
            let ty = self.lookup_type.lookup(type_id)?.handle;
            let decor = self
                .future_member_decor
                .remove(&(id, i))
                .unwrap_or_default();

            storage_access |= decor.flags.to_storage_access();

            member_lookups.push(LookupMember {
                type_id,
                row_major: decor.matrix_major == Some(Majority::Row),
            });

            let member_alignment = self.layouter[ty].alignment;
            span = member_alignment.round_up(span);
            alignment = member_alignment.max(alignment);

            let mut binding = decor.io_binding().ok();
            if let Some(offset) = decor.offset {
                span = offset;
            }
            let offset = span;

            span += self.layouter[ty].size;

            let inner = &module.types[ty].inner;
            if let crate::TypeInner::Matrix {
                columns,
                rows,
                width,
            } = *inner
            {
                if let Some(stride) = decor.matrix_stride {
                    let expected_stride = Alignment::from(rows) * width as u32;
                    if stride.get() != expected_stride {
                        return Err(Error::UnsupportedMatrixStride {
                            stride: stride.get(),
                            columns: columns as u8,
                            rows: rows as u8,
                            width,
                        });
                    }
                }
            }

            if let Some(ref mut binding) = binding {
                binding.apply_default_interpolation(inner);
            }
            members.push(crate::StructMember {
                name: decor.name,
                ty,
                binding,
                offset,
            });
        }

        span = alignment.round_up(span);

        let inner = crate::TypeInner::Struct { span, members };

        let ty_handle = module.types.insert(
            crate::Type {
                name: parent_decor.and_then(|dec| dec.name),
                inner,
            },
            self.span_from_with_op(start),
        );

        if is_storage_buffer {
            self.lookup_storage_buffer_types
                .insert(ty_handle, storage_access);
        }
        for (i, member_lookup) in member_lookups.into_iter().enumerate() {
            self.lookup_member
                .insert((ty_handle, i as u32), member_lookup);
        }
        self.lookup_type.insert(
            id,
            LookupType {
                handle: ty_handle,
                base_id: None,
            },
        );
        Ok(())
    }

    fn parse_type_image(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(9)?;

        let id = self.next()?;
        let sample_type_id = self.next()?;
        let dim = self.next()?;
        let _is_depth = self.next()?;
        let is_array = self.next()? != 0;
        let is_msaa = self.next()? != 0;
        let _is_sampled = self.next()?;
        let format = self.next()?;

        let dim = map_image_dim(dim)?;
        let decor = self.future_decor.remove(&id).unwrap_or_default();

        // ensure there is a type for texture coordinate without extra components
        module.types.insert(
            crate::Type {
                name: None,
                inner: {
                    let kind = crate::ScalarKind::Float;
                    let width = 4;
                    match dim.required_coordinate_size() {
                        None => crate::TypeInner::Scalar { kind, width },
                        Some(size) => crate::TypeInner::Vector { size, kind, width },
                    }
                },
            },
            Default::default(),
        );

        let base_handle = self.lookup_type.lookup(sample_type_id)?.handle;
        let kind = module.types[base_handle]
            .inner
            .scalar_kind()
            .ok_or(Error::InvalidImageBaseType(base_handle))?;

        let inner = crate::TypeInner::Image {
            class: if format != 0 {
                crate::ImageClass::Storage {
                    format: map_image_format(format)?,
                    access: crate::StorageAccess::default(),
                }
            } else {
                crate::ImageClass::Sampled {
                    kind,
                    multi: is_msaa,
                }
            },
            dim,
            arrayed: is_array,
        };

        let handle = module.types.insert(
            crate::Type {
                name: decor.name,
                inner,
            },
            self.span_from_with_op(start),
        );

        self.lookup_type.insert(
            id,
            LookupType {
                handle,
                base_id: Some(sample_type_id),
            },
        );
        Ok(())
    }

    fn parse_type_sampled_image(&mut self, inst: Instruction) -> Result<(), Error> {
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(3)?;
        let id = self.next()?;
        let image_id = self.next()?;
        self.lookup_type.insert(
            id,
            LookupType {
                handle: self.lookup_type.lookup(image_id)?.handle,
                base_id: Some(image_id),
            },
        );
        Ok(())
    }

    fn parse_type_sampler(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(2)?;
        let id = self.next()?;
        let decor = self.future_decor.remove(&id).unwrap_or_default();
        let handle = module.types.insert(
            crate::Type {
                name: decor.name,
                inner: crate::TypeInner::Sampler { comparison: false },
            },
            self.span_from_with_op(start),
        );
        self.lookup_type.insert(
            id,
            LookupType {
                handle,
                base_id: None,
            },
        );
        Ok(())
    }

    fn parse_constant(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect_at_least(4)?;
        let type_id = self.next()?;
        let id = self.next()?;
        let type_lookup = self.lookup_type.lookup(type_id)?;
        let ty = type_lookup.handle;

        let inner = match module.types[ty].inner {
            crate::TypeInner::Scalar {
                kind: crate::ScalarKind::Uint,
                width,
            } => {
                let low = self.next()?;
                let high = if width > 4 {
                    inst.expect(5)?;
                    self.next()?
                } else {
                    0
                };
                crate::ConstantInner::Scalar {
                    width,
                    value: crate::ScalarValue::Uint((u64::from(high) << 32) | u64::from(low)),
                }
            }
            crate::TypeInner::Scalar {
                kind: crate::ScalarKind::Sint,
                width,
            } => {
                let low = self.next()?;
                let high = if width > 4 {
                    inst.expect(5)?;
                    self.next()?
                } else {
                    0
                };
                crate::ConstantInner::Scalar {
                    width,
                    value: crate::ScalarValue::Sint(
                        (i64::from(high as i32) << 32) | ((i64::from(low as i32) << 32) >> 32),
                    ),
                }
            }
            crate::TypeInner::Scalar {
                kind: crate::ScalarKind::Float,
                width,
            } => {
                let low = self.next()?;
                let extended = match width {
                    4 => f64::from(f32::from_bits(low)),
                    8 => {
                        inst.expect(5)?;
                        let high = self.next()?;
                        f64::from_bits((u64::from(high) << 32) | u64::from(low))
                    }
                    _ => return Err(Error::InvalidTypeWidth(width as u32)),
                };
                crate::ConstantInner::Scalar {
                    width,
                    value: crate::ScalarValue::Float(extended),
                }
            }
            _ => return Err(Error::UnsupportedType(type_lookup.handle)),
        };

        let decor = self.future_decor.remove(&id).unwrap_or_default();

        self.lookup_constant.insert(
            id,
            LookupConstant {
                handle: module.constants.append(
                    crate::Constant {
                        specialization: decor.specialization,
                        name: decor.name,
                        inner,
                    },
                    self.span_from_with_op(start),
                ),
                type_id,
            },
        );
        Ok(())
    }

    fn parse_composite_constant(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect_at_least(3)?;
        let type_id = self.next()?;
        let type_lookup = self.lookup_type.lookup(type_id)?;
        let ty = type_lookup.handle;
        let id = self.next()?;

        let mut components = Vec::with_capacity(inst.wc as usize - 3);
        for _ in 0..components.capacity() {
            let component_id = self.next()?;
            let constant = self.lookup_constant.lookup(component_id)?;
            components.push(constant.handle);
        }

        self.lookup_constant.insert(
            id,
            LookupConstant {
                handle: module.constants.append(
                    crate::Constant {
                        name: self.future_decor.remove(&id).and_then(|dec| dec.name),
                        specialization: None,
                        inner: crate::ConstantInner::Composite { ty, components },
                    },
                    self.span_from_with_op(start),
                ),
                type_id,
            },
        );
        Ok(())
    }

    fn parse_null_constant(
        &mut self,
        inst: Instruction,
        types: &UniqueArena<crate::Type>,
        constants: &mut Arena<crate::Constant>,
    ) -> Result<(u32, u32, Handle<crate::Constant>), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(3)?;
        let type_id = self.next()?;
        let id = self.next()?;
        let span = self.span_from_with_op(start);
        let type_lookup = self.lookup_type.lookup(type_id)?;
        let ty = type_lookup.handle;

        let inner = null::generate_null_constant(ty, types, constants, span)?;
        let handle = constants.append(
            crate::Constant {
                name: self.future_decor.remove(&id).and_then(|dec| dec.name),
                specialization: None, //TODO
                inner,
            },
            span,
        );
        self.lookup_constant
            .insert(id, LookupConstant { handle, type_id });
        Ok((type_id, id, handle))
    }

    fn parse_bool_constant(
        &mut self,
        inst: Instruction,
        value: bool,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect(3)?;
        let type_id = self.next()?;
        let id = self.next()?;

        self.lookup_constant.insert(
            id,
            LookupConstant {
                handle: module.constants.append(
                    crate::Constant {
                        name: self.future_decor.remove(&id).and_then(|dec| dec.name),
                        specialization: None, //TODO
                        inner: crate::ConstantInner::boolean(value),
                    },
                    self.span_from_with_op(start),
                ),
                type_id,
            },
        );
        Ok(())
    }

    fn parse_global_variable(
        &mut self,
        inst: Instruction,
        module: &mut crate::Module,
    ) -> Result<(), Error> {
        let start = self.data_offset;
        self.switch(ModuleState::Type, inst.op)?;
        inst.expect_at_least(4)?;
        let type_id = self.next()?;
        let id = self.next()?;
        let storage_class = self.next()?;
        let init = if inst.wc > 4 {
            inst.expect(5)?;
            let init_id = self.next()?;
            let lconst = self.lookup_constant.lookup(init_id)?;
            Some(lconst.handle)
        } else {
            None
        };
        let span = self.span_from_with_op(start);
        let mut dec = self.future_decor.remove(&id).unwrap_or_default();

        let original_ty = self.lookup_type.lookup(type_id)?.handle;
        let mut effective_ty = original_ty;
        if let crate::TypeInner::Pointer { base, space: _ } = module.types[original_ty].inner {
            effective_ty = base;
        };
        if let crate::TypeInner::Image {
            dim,
            arrayed,
            class: crate::ImageClass::Storage { format, access: _ },
        } = module.types[effective_ty].inner
        {
            // Storage image types in IR have to contain the access, but not in the SPIR-V.
            // The same image type in SPIR-V can be used (and has to be used) for multiple images.
            // So we copy the type out and apply the variable access decorations.
            let access = dec.flags.to_storage_access();
            let ty = crate::Type {
                name: None,
                inner: crate::TypeInner::Image {
                    dim,
                    arrayed,
                    class: crate::ImageClass::Storage { format, access },
                },
            };
            effective_ty = module.types.insert(ty, Default::default());
        }

        let ext_class = match self.lookup_storage_buffer_types.get(&effective_ty) {
            Some(&access) => ExtendedClass::Global(crate::AddressSpace::Storage { access }),
            None => map_storage_class(storage_class)?,
        };

        // Fix empty name for gl_PerVertex struct generated by glslang
        if let crate::TypeInner::Pointer { .. } = module.types[original_ty].inner {
            if ext_class == ExtendedClass::Input || ext_class == ExtendedClass::Output {
                if let Some(ref dec_name) = dec.name {
                    if dec_name.is_empty() {
                        dec.name = Some("perVertexStruct".to_string())
                    }
                }
            }
        }

        let (inner, var) = match ext_class {
            ExtendedClass::Global(mut space) => {
                if let crate::AddressSpace::Storage { ref mut access } = space {
                    *access &= dec.flags.to_storage_access();
                }
                let var = crate::GlobalVariable {
                    binding: dec.resource_binding(),
                    name: dec.name,
                    space,
                    ty: effective_ty,
                    init,
                };
                (Variable::Global, var)
            }
            ExtendedClass::Input => {
                let mut binding = dec.io_binding()?;
                let mut unsigned_ty = effective_ty;
                if let crate::Binding::BuiltIn(built_in) = binding {
                    let needs_inner_uint = match built_in {
                        crate::BuiltIn::BaseInstance
                        | crate::BuiltIn::BaseVertex
                        | crate::BuiltIn::InstanceIndex
                        | crate::BuiltIn::SampleIndex
                        | crate::BuiltIn::VertexIndex
                        | crate::BuiltIn::PrimitiveIndex
                        | crate::BuiltIn::LocalInvocationIndex => Some(crate::TypeInner::Scalar {
                            kind: crate::ScalarKind::Uint,
                            width: 4,
                        }),
                        crate::BuiltIn::GlobalInvocationId
                        | crate::BuiltIn::LocalInvocationId
                        | crate::BuiltIn::WorkGroupId
                        | crate::BuiltIn::WorkGroupSize => Some(crate::TypeInner::Vector {
                            size: crate::VectorSize::Tri,
                            kind: crate::ScalarKind::Uint,
                            width: 4,
                        }),
                        _ => None,
                    };
                    if let (Some(inner), Some(crate::ScalarKind::Sint)) = (
                        needs_inner_uint,
                        module.types[effective_ty].inner.scalar_kind(),
                    ) {
                        unsigned_ty = module
                            .types
                            .insert(crate::Type { name: None, inner }, Default::default());
                    }
                }

                let var = crate::GlobalVariable {
                    name: dec.name.clone(),
                    space: crate::AddressSpace::Private,
                    binding: None,
                    ty: effective_ty,
                    init: None,
                };

                binding.apply_default_interpolation(&module.types[unsigned_ty].inner);

                let inner = Variable::Input(crate::FunctionArgument {
                    name: dec.name,
                    ty: unsigned_ty,
                    binding: Some(binding),
                });
                (inner, var)
            }
            ExtendedClass::Output => {
                // For output interface blocks, this would be a structure.
                let mut binding = dec.io_binding().ok();
                let init = match binding {
                    Some(crate::Binding::BuiltIn(built_in)) => {
                        match null::generate_default_built_in(
                            Some(built_in),
                            effective_ty,
                            &module.types,
                            &mut module.constants,
                            span,
                        ) {
                            Ok(handle) => Some(handle),
                            Err(e) => {
                                log::warn!("Failed to initialize output built-in: {}", e);
                                None
                            }
                        }
                    }
                    Some(crate::Binding::Location { .. }) => None,
                    None => match module.types[effective_ty].inner {
                        crate::TypeInner::Struct { ref members, .. } => {
                            // A temporary to avoid borrowing `module.types`
                            let pairs = members
                                .iter()
                                .map(|member| {
                                    let built_in = match member.binding {
                                        Some(crate::Binding::BuiltIn(built_in)) => Some(built_in),
                                        _ => None,
                                    };
                                    (built_in, member.ty)
                                })
                                .collect::<Vec<_>>();

                            let mut components = Vec::with_capacity(members.len());
                            for (built_in, member_ty) in pairs {
                                let handle = null::generate_default_built_in(
                                    built_in,
                                    member_ty,
                                    &module.types,
                                    &mut module.constants,
                                    span,
                                )?;
                                components.push(handle);
                            }
                            Some(module.constants.append(
                                crate::Constant {
                                    name: None,
                                    specialization: None,
                                    inner: crate::ConstantInner::Composite {
                                        ty: effective_ty,
                                        components,
                                    },
                                },
                                span,
                            ))
                        }
                        _ => None,
                    },
                };

                let var = crate::GlobalVariable {
                    name: dec.name,
                    space: crate::AddressSpace::Private,
                    binding: None,
                    ty: effective_ty,
                    init,
                };
                if let Some(ref mut binding) = binding {
                    binding.apply_default_interpolation(&module.types[effective_ty].inner);
                }
                let inner = Variable::Output(crate::FunctionResult {
                    ty: effective_ty,
                    binding,
                });
                (inner, var)
            }
        };

        let handle = module.global_variables.append(var, span);
        if module.types[effective_ty].inner.can_comparison_sample() {
            log::debug!("\t\ttracking {:?} for sampling properties", handle);
            self.handle_sampling
                .insert(handle, image::SamplingFlags::empty());
        }

        self.lookup_variable.insert(
            id,
            LookupVariable {
                inner,
                handle,
                type_id,
            },
        );
        Ok(())
    }
}

pub fn parse_u8_slice(data: &[u8], options: &Options) -> Result<crate::Module, Error> {
    if data.len() % 4 != 0 {
        return Err(Error::IncompleteData);
    }

    let words = data
        .chunks(4)
        .map(|c| u32::from_le_bytes(c.try_into().unwrap()));
    Parser::new(words, options).parse()
}

#[cfg(test)]
mod test {
    #[test]
    fn parse() {
        let bin = vec![
            // Magic number.           Version number: 1.0.
            0x03, 0x02, 0x23, 0x07, 0x00, 0x00, 0x01, 0x00,
            // Generator number: 0.    Bound: 0.
            0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // Reserved word: 0.
            0x00, 0x00, 0x00, 0x00, // OpMemoryModel.          Logical.
            0x0e, 0x00, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00, // GLSL450.
            0x01, 0x00, 0x00, 0x00,
        ];
        let _ = super::parse_u8_slice(&bin, &Default::default()).unwrap();
    }
}

/// Helper function to check if `child` is in the scope of `parent`
fn is_parent(mut child: usize, parent: usize, block_ctx: &BlockContext) -> bool {
    loop {
        if child == parent {
            // The child is in the scope parent
            break true;
        } else if child == 0 {
            // Searched finished at the root the child isn't in the parent's body
            break false;
        }

        child = block_ctx.bodies[child].parent;
    }
}


================================================
FILE: lib/naga/src/front/spv/null.rs
================================================
use super::Error;
use crate::arena::{Arena, Handle, UniqueArena};

const fn make_scalar_inner(kind: crate::ScalarKind, width: crate::Bytes) -> crate::ConstantInner {
    crate::ConstantInner::Scalar {
        width,
        value: match kind {
            crate::ScalarKind::Uint => crate::ScalarValue::Uint(0),
            crate::ScalarKind::Sint => crate::ScalarValue::Sint(0),
            crate::ScalarKind::Float => crate::ScalarValue::Float(0.0),
            crate::ScalarKind::Bool => crate::ScalarValue::Bool(false),
        },
    }
}

pub fn generate_null_constant(
    ty: Handle<crate::Type>,
    type_arena: &UniqueArena<crate::Type>,
    constant_arena: &mut Arena<crate::Constant>,
    span: crate::Span,
) -> Result<crate::ConstantInner, Error> {
    let inner = match type_arena[ty].inner {
        crate::TypeInner::Scalar { kind, width } => make_scalar_inner(kind, width),
        crate::TypeInner::Vector { size, kind, width } => {
            let mut components = Vec::with_capacity(size as usize);
            for _ in 0..size as usize {
                components.push(constant_arena.fetch_or_append(
                    crate::Constant {
                        name: None,
                        specialization: None,
                        inner: make_scalar_inner(kind, width),
                    },
                    span,
                ));
            }
            crate::ConstantInner::Composite { ty, components }
        }
        crate::TypeInner::Matrix {
            columns,
            rows,
            width,
        } => {
            // If we successfully declared a matrix type, we have declared a vector type for it too.
            let vector_ty = type_arena
                .get(&crate::Type {
                    name: None,
                    inner: crate::TypeInner::Vector {
                        kind: crate::ScalarKind::Float,
                        size: rows,
                        width,
                    },
                })
                .unwrap();
            let vector_inner = generate_null_constant(vector_ty, type_arena, constant_arena, span)?;
            let vector_handle = constant_arena.fetch_or_append(
                crate::Constant {
                    name: None,
                    specialization: None,
                    inner: vector_inner,
                },
                span,
            );
            crate::ConstantInner::Composite {
                ty,
                components: vec![vector_handle; columns as usize],
            }
        }
        crate::TypeInner::Struct { ref members, .. } => {
            let mut components = Vec::with_capacity(members.len());
            // copy out the types to avoid borrowing `members`
            let member_tys = members.iter().map(|member| member.ty).collect::<Vec<_>>();
            for member_ty in member_tys {
                let inner = generate_null_constant(member_ty, type_arena, constant_arena, span)?;
                components.push(constant_arena.fetch_or_append(
                    crate::Constant {
                        name: None,
                        specialization: None,
                        inner,
                    },
                    span,
                ));
            }
            crate::ConstantInner::Composite { ty, components }
        }
        crate::TypeInner::Array {
            base,
            size: crate::ArraySize::Constant(handle),
            ..
        } => {
            let size = constant_arena[handle]
                .to_array_length()
                .ok_or(Error::InvalidArraySize(handle))?;
            let inner = generate_null_constant(base, type_arena, constant_arena, span)?;
            let value = constant_arena.fetch_or_append(
                crate::Constant {
                    name: None,
                    specialization: None,
                    inner,
                },
                span,
            );
            crate::ConstantInner::Composite {
                ty,
                components: vec![value; size as usize],
            }
        }
        ref other => {
            log::warn!("null constant type {:?}", other);
            return Err(Error::UnsupportedType(ty));
        }
    };
    Ok(inner)
}

/// Create a default value for an output built-in.
pub fn generate_default_built_in(
    built_in: Option<crate::BuiltIn>,
    ty: Handle<crate::Type>,
    type_arena: &UniqueArena<crate::Type>,
    constant_arena: &mut Arena<crate::Constant>,
    span: crate::Span,
) -> Result<Handle<crate::Constant>, Error> {
    let inner = match built_in {
        Some(crate::BuiltIn::Position { .. }) => {
            let zero = constant_arena.fetch_or_append(
                crate::Constant {
                    name: None,
                    specialization: None,
                    inner: crate::ConstantInner::Scalar {
                        value: crate::ScalarValue::Float(0.0),
                        width: 4,
                    },
                },
                span,
            );
            let one = constant_arena.fetch_or_append(
                crate::Constant {
                    name: None,
                    specialization: None,
                    inner: crate::ConstantInner::Scalar {
                        value: crate::ScalarValue::Float(1.0),
                        width: 4,
                    },
                },
                span,
            );
            crate::ConstantInner::Composite {
                ty,
                components: vec![zero, zero, zero, one],
            }
        }
        Some(crate::BuiltIn::PointSize) => crate::ConstantInner::Scalar {
            value: crate::ScalarValue::Float(1.0),
            width: 4,
        },
        Some(crate::BuiltIn::FragDepth) => crate::ConstantInner::Scalar {
            value: crate::ScalarValue::Float(0.0),
            width: 4,
        },
        Some(crate::BuiltIn::SampleMask) => crate::ConstantInner::Scalar {
            value: crate::ScalarValue::Uint(u64::MAX),
            width: 4,
        },
        //Note: `crate::BuiltIn::ClipDistance` is intentionally left for the default path
        _ => generate_null_constant(ty, type_arena, constant_arena, span)?,
    };
    Ok(constant_arena.fetch_or_append(
        crate::Constant {
            name: None,
            specialization: None,
            inner,
        },
        span,
    ))
}


================================================
FILE: lib/naga/src/front/wgsl/construction.rs
================================================
use crate::{
    proc::TypeResolution, Arena, ArraySize, Bytes, Constant, ConstantInner, Expression, Handle,
    ScalarKind, ScalarValue, Span as NagaSpan, Type, TypeInner, UniqueArena, VectorSize,
};

use super::{Error, ExpressionContext, Lexer, Parser, Rule, Span, Token};

/// Represents the type of the constructor
///
/// Vectors, Matrices and Arrays can have partial type information
/// which later gets inferred from the constructor parameters
enum ConstructorType {
    Scalar {
        kind: ScalarKind,
        width: Bytes,
    },
    PartialVector {
        size: VectorSize,
    },
    Vector {
        size: VectorSize,
        kind: ScalarKind,
        width: Bytes,
    },
    PartialMatrix {
        columns: VectorSize,
        rows: VectorSize,
    },
    Matrix {
        columns: VectorSize,
        rows: VectorSize,
        width: Bytes,
    },
    PartialArray,
    Array {
        base: Handle<Type>,
        size: ArraySize,
        stride: u32,
    },
    Struct(Handle<Type>),
}

impl ConstructorType {
    const fn to_type_resolution(&self) -> Option<TypeResolution> {
        Some(match *self {
            ConstructorType::Scalar { kind, width } => {
                TypeResolution::Value(TypeInner::Scalar { kind, width })
            }
            ConstructorType::Vector { size, kind, width } => {
                TypeResolution::Value(TypeInner::Vector { size, kind, width })
            }
            ConstructorType::Matrix {
                columns,
                rows,
                width,
            } => TypeResolution::Value(TypeInner::Matrix {
                columns,
                rows,
                width,
            }),
            ConstructorType::Array { base, size, stride } => {
                TypeResolution::Value(TypeInner::Array { base, size, stride })
            }
            ConstructorType::Struct(handle) => TypeResolution::Handle(handle),
            _ => return None,
        })
    }
}

impl ConstructorType {
    fn to_error_string(&self, types: &UniqueArena<Type>, constants: &Arena<Constant>) -> String {
        match *self {
            ConstructorType::Scalar { kind, width } => kind.to_wgsl(width),
            ConstructorType::PartialVector { size } => {
                format!("vec{}<?>", size as u32,)
            }
            ConstructorType::Vector { size, kind, width } => {
                format!("vec{}<{}>", size as u32, kind.to_wgsl(width))
            }
            ConstructorType::PartialMatrix { columns, rows } => {
                format!("mat{}x{}<?>", columns as u32, rows as u32,)
            }
            ConstructorType::Matrix {
                columns,
                rows,
                width,
            } => {
                format!(
                    "mat{}x{}<{}>",
                    columns as u32,
                    rows as u32,
                    ScalarKind::Float.to_wgsl(width)
                )
            }
            ConstructorType::PartialArray => "array<?, ?>".to_string(),
            ConstructorType::Array { base, size, .. } => {
                format!(
                    "array<{}, {}>",
                    types[base].name.as_deref().unwrap_or("?"),
                    match size {
                        ArraySize::Constant(size) => {
                            constants[size]
                                .to_array_length()
                                .map(|len| len.to_string())
                                .unwrap_or_else(|| "?".to_string())
                        }
                        _ => unreachable!(),
                    }
                )
            }
            ConstructorType::Struct(handle) => types[handle]
                .name
                .clone()
                .unwrap_or_else(|| "?".to_string()),
        }
    }
}

fn parse_constructor_type<'a>(
    parser: &mut Parser,
    lexer: &mut Lexer<'a>,
    word: &'a str,
    type_arena: &mut UniqueArena<Type>,
    const_arena: &mut Arena<Constant>,
) -> Result<Option<ConstructorType>, Error<'a>> {
    if let Some((kind, width)) = super::conv::get_scalar_type(word) {
        return Ok(Some(ConstructorType::Scalar { kind, width }));
    }

    let partial = match word {
        "vec2" => ConstructorType::PartialVector {
            size: VectorSize::Bi,
        },
        "vec3" => ConstructorType::PartialVector {
            size: VectorSize::Tri,
        },
        "vec4" => ConstructorType::PartialVector {
            size: VectorSize::Quad,
        },
        "mat2x2" => ConstructorType::PartialMatrix {
            columns: VectorSize::Bi,
            rows: VectorSize::Bi,
        },
        "mat2x3" => ConstructorType::PartialMatrix {
            columns: VectorSize::Bi,
            rows: VectorSize::Tri,
        },
        "mat2x4" => ConstructorType::PartialMatrix {
            columns: VectorSize::Bi,
            rows: VectorSize::Quad,
        },
        "mat3x2" => ConstructorType::PartialMatrix {
            columns: VectorSize::Tri,
            rows: VectorSize::Bi,
        },
        "mat3x3" => ConstructorType::PartialMatrix {
            columns: VectorSize::Tri,
            rows: VectorSize::Tri,
        },
        "mat3x4" => ConstructorType::PartialMatrix {
            columns: VectorSize::Tri,
            rows: VectorSize::Quad,
        },
        "mat4x2" => ConstructorType::PartialMatrix {
            columns: VectorSize::Quad,
            rows: VectorSize::Bi,
        },
        "mat4x3" => ConstructorType::PartialMatrix {
            columns: VectorSize::Quad,
            rows: VectorSize::Tri,
        },
        "mat4x4" => ConstructorType::PartialMatrix {
            columns: VectorSize::Quad,
            rows: VectorSize::Quad,
        },
        "array" => ConstructorType::PartialArray,
        _ => return Ok(None),
    };

    // parse component type if present
    match (lexer.peek().0, partial) {
        (Token::Paren('<'), ConstructorType::PartialVector { size }) => {
            let (kind, width) = lexer.next_scalar_generic()?;
            Ok(Some(ConstructorType::Vector { size, kind, width }))
        }
        (Token::Paren('<'), ConstructorType::PartialMatrix { columns, rows }) => {
            let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
            match kind {
                ScalarKind::Float => Ok(Some(ConstructorType::Matrix {
                    columns,
                    rows,
                    width,
                })),
                _ => Err(Error::BadMatrixScalarKind(span, kind, width)),
            }
        }
        (Token::Paren('<'), ConstructorType::PartialArray) => {
            lexer.expect_generic_paren('<')?;
            let base = parser.parse_type_decl(lexer, None, type_arena, const_arena)?;
            let size = if lexer.skip(Token::Separator(',')) {
                let const_handle = parser.parse_const_expression(lexer, type_arena, const_arena)?;
                ArraySize::Constant(const_handle)
            } else {
                ArraySize::Dynamic
            };
            lexer.expect_generic_paren('>')?;

            let stride = {
                parser.layouter.update(type_arena, const_arena).unwrap();
                parser.layouter[base].to_stride()
            };

            Ok(Some(ConstructorType::Array { base, size, stride }))
        }
        (_, partial) => Ok(Some(partial)),
    }
}

/// Expects [`Rule::PrimaryExpr`] on top of rule stack; if returning Some(_), pops it.
pub(super) fn parse_construction<'a>(
    parser: &mut Parser,
    lexer: &mut Lexer<'a>,
    type_name: &'a str,
    type_span: Span,
    mut ctx: ExpressionContext<'a, '_, '_>,
) -> Result<Option<Handle<Expression>>, Error<'a>> {
    assert_eq!(
        parser.rules.last().map(|&(ref rule, _)| rule.clone()),
        Some(Rule::PrimaryExpr)
    );
    let dst_ty = match parser.lookup_type.get(type_name) {
        Some(&handle) => ConstructorType::Struct(handle),
        None => match parse_constructor_type(parser, lexer, type_name, ctx.types, ctx.constants)? {
            Some(inner) => inner,
            None => {
                match parser.parse_type_decl_impl(
                    lexer,
                    super::TypeAttributes::default(),
                    type_name,
                    ctx.types,
                    ctx.constants,
                )? {
                    Some(_) => {
                        return Err(Error::TypeNotConstructible(type_span));
                    }
                    None => return Ok(None),
                }
            }
        },
    };

    lexer.open_arguments()?;

    let mut components = Vec::new();
    let mut spans = Vec::new();

    if lexer.peek().0 == Token::Paren(')') {
        let _ = lexer.next();
    } else {
        while components.is_empty() || lexer.next_argument()? {
            let (component, span) = lexer
                .capture_span(|lexer| parser.parse_general_expression(lexer, ctx.reborrow()))?;
            components.push(component);
            spans.push(span);
        }
    }

    enum Components<'a> {
        None,
        One {
            component: Handle<Expression>,
            span: Span,
            ty: &'a TypeInner,
        },
        Many {
            components: Vec<Handle<Expression>>,
            spans: Vec<Span>,
            first_component_ty: &'a TypeInner,
        },
    }

    impl<'a> Components<'a> {
        fn into_components_vec(self) -> Vec<Handle<Expression>> {
            match self {
                Components::None => vec![],
                Components::One { component, .. } => vec![component],
                Components::Many { components, .. } => components,
            }
        }
    }

    let components = match *components.as_slice() {
        [] => Components::None,
        [component] => {
            ctx.resolve_type(component)?;
            Components::One {
                component,
                span: spans[0].clone(),
                ty: ctx.typifier.get(component, ctx.types),
            }
        }
        [component, ..] => {
            ctx.resolve_type(component)?;
            Components::Many {
                components,
                spans,
                first_component_ty: ctx.typifier.get(component, ctx.types),
            }
        }
    };

    let expr = match (components, dst_ty) {
        // Empty constructor
        (Components::None, dst_ty) => {
            let ty = match dst_ty.to_type_resolution() {
                Some(TypeResolution::Handle(handle)) => handle,
                Some(TypeResolution::Value(inner)) => ctx
                    .types
                    .insert(Type { name: None, inner }, Default::default()),
                None => return Err(Error::TypeNotInferrable(type_span)),
            };

            return match ctx.create_zero_value_constant(ty) {
                Some(constant) => {
                    let span = parser.pop_rule_span(lexer);
                    Ok(Some(ctx.interrupt_emitter(
                        Expression::Constant(constant),
                        span.into(),
                    )))
                }
                None => Err(Error::TypeNotConstructible(type_span)),
            };
        }

        // Scalar constructor & conversion (scalar -> scalar)
        (
            Components::One {
                component,
                ty: &TypeInner::Scalar { .. },
                ..
            },
            ConstructorType::Scalar { kind, width },
        ) => Expression::As {
            expr: component,
            kind,
            convert: Some(width),
        },

        // Vector conversion (vector -> vector)
        (
            Components::One {
                component,
                ty: &TypeInner::Vector { size: src_size, .. },
                ..
            },
            ConstructorType::Vector {
                size: dst_size,
                kind: dst_kind,
                width: dst_width,
            },
        ) if dst_size == src_size => Expression::As {
            expr: component,
            kind: dst_kind,
            convert: Some(dst_width),
        },

        // Vector conversion (vector -> vector) - partial
        (
            Components::One {
                component,
                ty:
                    &TypeInner::Vector {
                        size: src_size,
                        kind: src_kind,
                        ..
                    },
                ..
            },
            ConstructorType::PartialVector { size: dst_size },
        ) if dst_size == src_size => Expression::As {
            expr: component,
            kind: src_kind,
            convert: None,
        },

        // Matrix conversion (matrix -> matrix)
        (
            Components::One {
                component,
                ty:
                    &TypeInner::Matrix {
                        columns: src_columns,
                        rows: src_rows,
                        ..
                    },
                ..
            },
            ConstructorType::Matrix {
                columns: dst_columns,
                rows: dst_rows,
                width: dst_width,
            },
        ) if dst_columns == src_columns && dst_rows == src_rows => Expression::As {
            expr: component,
            kind: ScalarKind::Float,
            convert: Some(dst_width),
        },

        // Matrix conversion (matrix -> matrix) - partial
        (
            Components::One {
                component,
                ty:
                    &TypeInner::Matrix {
                        columns: src_columns,
                        rows: src_rows,
                        ..
                    },
                ..
            },
            ConstructorType::PartialMatrix {
                columns: dst_columns,
                rows: dst_rows,
            },
        ) if dst_columns == src_columns && dst_rows == src_rows => Expression::As {
            expr: component,
            kind: ScalarKind::Float,
            convert: None,
        },

        // Vector constructor (splat) - infer type
        (
            Components::One {
                component,
                ty: &TypeInner::Scalar { .. },
                ..
            },
            ConstructorType::PartialVector { size },
        ) => Expression::Splat {
            size,
            value: component,
        },

        // Vector constructor (splat)
        (
            Components::One {
                component,
                ty:
                    &TypeInner::Scalar {
                        kind: src_kind,
                        width: src_width,
                        ..
                    },
                ..
            },
            ConstructorType::Vector {
                size,
                kind: dst_kind,
                width: dst_width,
            },
        ) if dst_kind == src_kind || dst_width == src_width => Expression::Splat {
            size,
            value: component,
        },

        // Vector constructor (by elements)
        (
            Components::Many {
                components,
                first_component_ty:
                    &TypeInner::Scalar { kind, width } | &TypeInner::Vector { kind, width, .. },
                ..
            },
            ConstructorType::PartialVector { size },
        )
        | (
            Components::Many {
                components,
                first_component_ty: &TypeInner::Scalar { .. } | &TypeInner::Vector { .. },
                ..
            },
            ConstructorType::Vector { size, width, kind },
        ) => {
            let ty = ctx.types.insert(
                Type {
                    name: None,
                    inner: TypeInner::Vector { size, kind, width },
                },
                Default::default(),
            );
            Expression::Compose { ty, components }
        }

        // Matrix constructor (by elements)
        (
            Components::Many {
                components,
                first_component_ty: &TypeInner::Scalar { width, .. },
                ..
            },
            ConstructorType::PartialMatrix { columns, rows },
        )
        | (
            Components::Many {
                components,
                first_component_ty: &TypeInner::Scalar { .. },
                ..
            },
            ConstructorType::Matrix {
                columns,
                rows,
                width,
            },
        ) => {
            let vec_ty = ctx.types.insert(
                Type {
                    name: None,
                    inner: TypeInner::Vector {
                        width,
                        kind: ScalarKind::Float,
                        size: rows,
                    },
                },
                Default::default(),
            );

            let components = components
                .chunks(rows as usize)
                .map(|vec_components| {
                    ctx.expressions.append(
                        Expression::Compose {
                            ty: vec_ty,
                            components: Vec::from(vec_components),
                        },
                        Default::default(),
                    )
                })
                .collect();

            let ty = ctx.types.insert(
                Type {
                    name: None,
                    inner: TypeInner::Matrix {
                        columns,
                        rows,
                        width,
                    },
                },
                Default::default(),
            );
            Expression::Compose { ty, components }
        }

        // Matrix constructor (by columns)
        (
            Components::Many {
                components,
                first_component_ty: &TypeInner::Vector { width, .. },
                ..
            },
            ConstructorType::PartialMatrix { columns, rows },
        )
        | (
            Components::Many {
                components,
                first_component_ty: &TypeInner::Vector { .. },
                ..
            },
            ConstructorType::Matrix {
                columns,
                rows,
                width,
            },
        ) => {
            let ty = ctx.types.insert(
                Type {
                    name: None,
                    inner: TypeInner::Matrix {
                        columns,
                        rows,
                        width,
                    },
                },
                Default::default(),
            );
            Expression::Compose { ty, components }
        }

        // Array constructor - infer type
        (components, ConstructorType::PartialArray) => {
            let components = components.into_components_vec();

            let base = match ctx.typifier[components[0]].clone() {
                TypeResolution::Handle(ty) => ty,
                TypeResolution::Value(inner) => ctx
                    .types
                    .insert(Type { name: None, inner }, Default::default()),
            };

            let size = Constant {
                name: None,
                specialization: None,
                inner: ConstantInner::Scalar {
                    width: 4,
                    value: ScalarValue::Uint(components.len() as u64),
                },
            };

            let inner = TypeInner::Array {
                base,
                size: ArraySize::Constant(ctx.constants.append(size, Default::default())),
                stride: {
                    parser.layouter.update(ctx.types, ctx.constants).unwrap();
                    parser.layouter[base].to_stride()
                },
            };

            let ty = ctx
                .types
                .insert(Type { name: None, inner }, Default::default());

            Expression::Compose { ty, components }
        }

        // Array constructor
        (components, ConstructorType::Array { base, size, stride }) => {
            let components = components.into_components_vec();
            let inner = TypeInner::Array { base, size, stride };
            let ty = ctx
                .types
                .insert(Type { name: None, inner }, Default::default());
            Expression::Compose { ty, components }
        }

        // Struct constructor
        (components, ConstructorType::Struct(ty)) => Expression::Compose {
            ty,
            components: components.into_components_vec(),
        },

        // ERRORS

        // Bad conversion (type cast)
        (
            Components::One {
                span, ty: src_ty, ..
            },
            dst_ty,
        ) => {
            return Err(Error::BadTypeCast {
                span,
                from_type: src_ty.to_wgsl(ctx.types, ctx.constants),
                to_type: dst_ty.to_error_string(ctx.types, ctx.constants),
            });
        }

        // Too many parameters for scalar constructor
        (Components::Many { spans, .. }, ConstructorType::Scalar { .. }) => {
            return Err(Error::UnexpectedComponents(Span {
                start: spans[1].start,
                end: spans.last().unwrap().end,
            }));
        }

        // Parameters are of the wrong type for vector or matrix constructor
        (
            Components::Many { spans, .. },
            ConstructorType::Vector { .. }
            | ConstructorType::Matrix { .. }
            | ConstructorType::PartialVector { .. }
            | ConstructorType::PartialMatrix { .. },
        ) => {
            return Err(Error::InvalidConstructorComponentType(spans[0].clone(), 0));
        }
    };

    let span = NagaSpan::from(parser.pop_rule_span(lexer));
    Ok(Some(ctx.expressions.append(expr, span)))
}


================================================
FILE: lib/naga/src/front/wgsl/conv.rs
================================================
use super::{Error, Span};

pub fn map_address_space(word: &str, span: Span) -> Result<crate::AddressSpace, Error<'_>> {
    match word {
        "private" => Ok(crate::AddressSpace::Private),
        "workgroup" => Ok(crate::AddressSpace::WorkGroup),
        "uniform" => Ok(crate::AddressSpace::Uniform),
        "storage" => Ok(crate::AddressSpace::Storage {
            access: crate::StorageAccess::default(),
        }),
        "push_constant" => Ok(crate::AddressSpace::PushConstant),
        "function" => Ok(crate::AddressSpace::Function),
        _ => Err(Error::UnknownAddressSpace(span)),
    }
}

pub fn map_built_in(word: &str, span: Span) -> Result<crate::BuiltIn, Error<'_>> {
    Ok(match word {
        "position" => crate::BuiltIn::Position { invariant: false },
        // vertex
        "vertex_index" => crate::BuiltIn::VertexIndex,
        "instance_index" => crate::BuiltIn::InstanceIndex,
        "view_index" => crate::BuiltIn::ViewIndex,
        // fragment
        "front_facing" => crate::BuiltIn::FrontFacing,
        "frag_depth" => crate::BuiltIn::FragDepth,
        "primitive_index" => crate::BuiltIn::PrimitiveIndex,
        "sample_index" => crate::BuiltIn::SampleIndex,
        "sample_mask" => crate::BuiltIn::SampleMask,
        // compute
        "global_invocation_id" => crate::BuiltIn::GlobalInvocationId,
        "local_invocation_id" => crate::BuiltIn::LocalInvocationId,
        "local_invocation_index" => crate::BuiltIn::LocalInvocationIndex,
        "workgroup_id" => crate::BuiltIn::WorkGroupId,
        "workgroup_size" => crate::BuiltIn::WorkGroupSize,
        "num_workgroups" => crate::BuiltIn::NumWorkGroups,
        _ => return Err(Error::UnknownBuiltin(span)),
    })
}

pub fn map_interpolation(word: &str, span: Span) -> Result<crate::Interpolation, Error<'_>> {
    match word {
        "linear" => Ok(crate::Interpolation::Linear),
        "flat" => Ok(crate::Interpolation::Flat),
        "perspective" => Ok(crate::Interpolation::Perspective),
        _ => Err(Error::UnknownAttribute(span)),
    }
}

pub fn map_sampling(word: &str, span: Span) -> Result<crate::Sampling, Error<'_>> {
    match word {
        "center" => Ok(crate::Sampling::Center),
        "centroid" => Ok(crate::Sampling::Centroid),
        "sample" => Ok(crate::Sampling::Sample),
        _ => Err(Error::UnknownAttribute(span)),
    }
}

pub fn map_storage_format(word: &str, span: Span) -> Result<crate::StorageFormat, Error<'_>> {
    use crate::StorageFormat as Sf;
    Ok(match word {
        "r8unorm" => Sf::R8Unorm,
        "r8snorm" => Sf::R8Snorm,
        "r8uint" => Sf::R8Uint,
        "r8sint" => Sf::R8Sint,
        "r16uint" => Sf::R16Uint,
        "r16sint" => Sf::R16Sint,
        "r16float" => Sf::R16Float,
        "rg8unorm" => Sf::Rg8Unorm,
        "rg8snorm" => Sf::Rg8Snorm,
        "rg8uint" => Sf::Rg8Uint,
        "rg8sint" => Sf::Rg8Sint,
        "r32uint" => Sf::R32Uint,
        "r32sint" => Sf::R32Sint,
        "r32float" => Sf::R32Float,
        "rg16uint" => Sf::Rg16Uint,
        "rg16sint" => Sf::Rg16Sint,
        "rg16float" => Sf::Rg16Float,
        "rgba8unorm" => Sf::Rgba8Unorm,
        "rgba8snorm" => Sf::Rgba8Snorm,
        "rgba8uint" => Sf::Rgba8Uint,
        "rgba8sint" => Sf::Rgba8Sint,
        "rgb10a2unorm" => Sf::Rgb10a2Unorm,
        "rg11b10float" => Sf::Rg11b10Float,
        "rg32uint" => Sf::Rg32Uint,
        "rg32sint" => Sf::Rg32Sint,
        "rg32float" => Sf::Rg32Float,
        "rgba16uint" => Sf::Rgba16Uint,
        "rgba16sint" => Sf::Rgba16Sint,
        "rgba16float" => Sf::Rgba16Float,
        "rgba32uint" => Sf::Rgba32Uint,
        "rgba32sint" => Sf::Rgba32Sint,
        "rgba32float" => Sf::Rgba32Float,
        _ => return Err(Error::UnknownStorageFormat(span)),
    })
}

pub fn get_scalar_type(word: &str) -> Option<(crate::ScalarKind, crate::Bytes)> {
    match word {
        "f16" => Some((crate::ScalarKind::Float, 2)),
        "f32" => Some((crate::ScalarKind::Float, 4)),
        "f64" => Some((crate::ScalarKind::Float, 8)),
        "i8" => Some((crate::ScalarKind::Sint, 1)),
        "i16" => Some((crate::ScalarKind::Sint, 2)),
        "i32" => Some((crate::ScalarKind::Sint, 4)),
        "i64" => Some((crate::ScalarKind::Sint, 8)),
        "u8" => Some((crate::ScalarKind::Uint, 1)),
        "u16" => Some((crate::ScalarKind::Uint, 2)),
        "u32" => Some((crate::ScalarKind::Uint, 4)),
        "u64" => Some((crate::ScalarKind::Uint, 8)),
        "bool" => Some((crate::ScalarKind::Bool, crate::BOOL_WIDTH)),
        _ => None,
    }
}

pub fn map_derivative_axis(word: &str) -> Option<crate::DerivativeAxis> {
    match word {
        "dpdx" => Some(crate::DerivativeAxis::X),
        "dpdy" => Some(crate::DerivativeAxis::Y),
        "fwidth" => Some(crate::DerivativeAxis::Width),
        _ => None,
    }
}

pub fn map_relational_fun(word: &str) -> Option<crate::RelationalFunction> {
    match word {
        "any" => Some(crate::RelationalFunction::Any),
        "all" => Some(crate::RelationalFunction::All),
        "isFinite" => Some(crate::RelationalFunction::IsFinite),
        "isNormal" => Some(crate::RelationalFunction::IsNormal),
        _ => None,
    }
}

pub fn map_standard_fun(word: &str) -> Option<crate::MathFunction> {
    use crate::MathFunction as Mf;
    Some(match word {
        // comparison
        "abs" => Mf::Abs,
        "min" => Mf::Min,
        "max" => Mf::Max,
        "clamp" => Mf::Clamp,
        "saturate" => Mf::Saturate,
        // trigonometry
        "cos" => Mf::Cos,
        "cosh" => Mf::Cosh,
        "sin" => Mf::Sin,
        "sinh" => Mf::Sinh,
        "tan" => Mf::Tan,
        "tanh" => Mf::Tanh,
        "acos" => Mf::Acos,
        "asin" => Mf::Asin,
        "atan" => Mf::Atan,
        "atan2" => Mf::Atan2,
        "radians" => Mf::Radians,
        "degrees" => Mf::Degrees,
        // decomposition
        "ceil" => Mf::Ceil,
        "floor" => Mf::Floor,
        "round" => Mf::Round,
        "fract" => Mf::Fract,
        "trunc" => Mf::Trunc,
        "modf" => Mf::Modf,
        "frexp" => Mf::Frexp,
        "ldexp" => Mf::Ldexp,
        // exponent
        "exp" => Mf::Exp,
        "exp2" => Mf::Exp2,
        "log" => Mf::Log,
        "log2" => Mf::Log2,
        "pow" => Mf::Pow,
        // geometry
        "dot" => Mf::Dot,
        "outerProduct" => Mf::Outer,
        "cross" => Mf::Cross,
        "distance" => Mf::Distance,
        "length" => Mf::Length,
        "normalize" => Mf::Normalize,
        "faceForward" => Mf::FaceForward,
        "reflect" => Mf::Reflect,
        // computational
        "sign" => Mf::Sign,
        "fma" => Mf::Fma,
        "mix" => Mf::Mix,
        "step" => Mf::Step,
        "smoothstep" => Mf::SmoothStep,
        "sqrt" => Mf::Sqrt,
        "inverseSqrt" => Mf::InverseSqrt,
        "transpose" => Mf::Transpose,
        "determinant" => Mf::Determinant,
        // bits
        "countOneBits" => Mf::CountOneBits,
        "reverseBits" => Mf::ReverseBits,
        "extractBits" => Mf::ExtractBits,
        "insertBits" => Mf::InsertBits,
        "firstTrailingBit" => Mf::FindLsb,
        "firstLeadingBit" => Mf::FindMsb,
        // data packing
        "pack4x8snorm" => Mf::Pack4x8snorm,
        "pack4x8unorm" => Mf::Pack4x8unorm,
        "pack2x16snorm" => Mf::Pack2x16snorm,
        "pack2x16unorm" => Mf::Pack2x16unorm,
        "pack2x16float" => Mf::Pack2x16float,
        // data unpacking
        "unpack4x8snorm" => Mf::Unpack4x8snorm,
        "unpack4x8unorm" => Mf::Unpack4x8unorm,
        "unpack2x16snorm" => Mf::Unpack2x16snorm,
        "unpack2x16unorm" => Mf::Unpack2x16unorm,
        "unpack2x16float" => Mf::Unpack2x16float,
        _ => return None,
    })
}

pub fn map_conservative_depth(
    word: &str,
    span: Span,
) -> Result<crate::ConservativeDepth, Error<'_>> {
    use crate::ConservativeDepth as Cd;
    match word {
        "greater_equal" => Ok(Cd::GreaterEqual),
        "less_equal" => Ok(Cd::LessEqual),
        "unchanged" => Ok(Cd::Unchanged),
        _ => Err(Error::UnknownConservativeDepth(span)),
    }
}


================================================
FILE: lib/naga/src/front/wgsl/lexer.rs
================================================
use super::{conv, number::consume_number, Error, ExpectedToken, Span, Token, TokenSpan};

fn consume_any(input: &str, what: impl Fn(char) -> bool) -> (&str, &str) {
    let pos = input.find(|c| !what(c)).unwrap_or(input.len());
    input.split_at(pos)
}

fn consume_token(input: &str, generic: bool) -> (Token<'_>, &str) {
    let mut chars = input.chars();
    let cur = match chars.next() {
        Some(c) => c,
        None => return (Token::End, ""),
    };
    match cur {
        ':' | ';' | ',' => (Token::Separator(cur), chars.as_str()),
        '.' => {
            let og_chars = chars.as_str();
            match chars.next() {
                Some('0'..='9') => consume_number(input),
                _ => (Token::Separator(cur), og_chars),
            }
        }
        '@' => (Token::Attribute, chars.as_str()),
        '(' | ')' | '{' | '}' | '[' | ']' => (Token::Paren(cur), chars.as_str()),
        '<' | '>' => {
            let og_chars = chars.as_str();
            match chars.next() {
                Some('=') if !generic => (Token::LogicalOperation(cur), chars.as_str()),
                Some(c) if c == cur && !generic => {
                    let og_chars = chars.as_str();
                    match chars.next() {
                        Some('=') => (Token::AssignmentOperation(cur), chars.as_str()),
                        _ => (Token::ShiftOperation(cur), og_chars),
                    }
                }
                _ => (Token::Paren(cur), og_chars),
            }
        }
        '0'..='9' => consume_number(input),
        '/' => {
            let og_chars = chars.as_str();
            match chars.next() {
                Some('/') => {
                    let _ = chars.position(is_comment_end);
                    (Token::Trivia, chars.as_str())
                }
                Some('*') => {
                    let mut depth = 1;
                    let mut prev = None;

                    for c in &mut chars {
                        match (prev, c) {
                            (Some('*'), '/') => {
                                prev = None;
                                depth -= 1;
                                if depth == 0 {
                                    return (Token::Trivia, chars.as_str());
                                }
                            }
                            (Some('/'), '*') => {
                                prev = None;
                                depth += 1;
                            }
                            _ => {
                                prev = Some(c);
                            }
                        }
                    }

                    (Token::End, "")
                }
                Some('=') => (Token::AssignmentOperation(cur), chars.as_str()),
                _ => (Token::Operation(cur), og_chars),
            }
        }
        '-' => {
            let og_chars = chars.as_str();
            match chars.next() {
                Some('>') => (Token::Arrow, chars.as_str()),
                Some('0'..='9' | '.') => consume_number(input),
                Some('-') => (Token::DecrementOperation, chars.as_str()),
                Some('=') => (Token::AssignmentOperation(cur), chars.as_str()),
                _ => (Token::Operation(cur), og_chars),
            }
        }
        '+' => {
            let og_chars = chars.as_str();
            match chars.next() {
                Some('+') => (Token::IncrementOperation, chars.as_str()),
                Some('=') => (Token::AssignmentOperation(cur), chars.as_str()),
                _ => (Token::Operation(cur), og_chars),
            }
        }
        '*' | '%' | '^' => {
            let og_chars = chars.as_str();
            match chars.next() {
                Some('=') => (Token::AssignmentOperation(cur), chars.as_str()),
                _ => (Token::Operation(cur), og_chars),
            }
        }
        '~' => (Token::Operation(cur), chars.as_str()),
        '=' | '!' => {
            let og_chars = chars.as_str();
            match chars.next() {
                Some('=') => (Token::LogicalOperation(cur), chars.as_str()),
                _ => (Token::Operation(cur), og_chars),
            }
        }
        '&' | '|' => {
            let og_chars = chars.as_str();
            match chars.next() {
                Some(c) if c == cur => (Token::LogicalOperation(cur), chars.as_str()),
                Some('=') => (Token::AssignmentOperation(cur), chars.as_str()),
                _ => (Token::Operation(cur), og_chars),
            }
        }
        _ if is_blankspace(cur) => {
            let (_, rest) = consume_any(input, is_blankspace);
            (Token::Trivia, rest)
        }
        _ if is_word_start(cur) => {
            let (word, rest) = consume_any(input, is_word_part);
            (Token::Word(word), rest)
        }
        _ => (Token::Unknown(cur), chars.as_str()),
    }
}

/// Returns whether or not a char is a comment end
/// (Unicode Pattern_White_Space excluding U+0020, U+0009, U+200E and U+200F)
const fn is_comment_end(c: char) -> bool {
    match c {
        '\u{000a}'..='\u{000d}' | '\u{0085}' | '\u{2028}' | '\u{2029}' => true,
        _ => false,
    }
}

/// Returns whether or not a char is a blankspace (Unicode Pattern_White_Space)
const fn is_blankspace(c: char) -> bool {
    match c {
        '\u{0020}'
        | '\u{0009}'..='\u{000d}'
        | '\u{0085}'
        | '\u{200e}'
        | '\u{200f}'
        | '\u{2028}'
        | '\u{2029}' => true,
        _ => false,
    }
}

/// Returns whether or not a char is a word start (Unicode XID_Start + '_')
fn is_word_start(c: char) -> bool {
    c == '_' || unicode_xid::UnicodeXID::is_xid_start(c)
}

/// Returns whether or not a char is a word part (Unicode XID_Continue)
fn is_word_part(c: char) -> bool {
    unicode_xid::UnicodeXID::is_xid_continue(c)
}

#[derive(Clone)]
pub(super) struct Lexer<'a> {
    input: &'a str,
    pub(super) source: &'a str,
    // The byte offset of the end of the last non-trivia token.
    last_end_offset: usize,
}

impl<'a> Lexer<'a> {
    pub(super) const fn new(input: &'a str) -> Self {
        Lexer {
            input,
            source: input,
            last_end_offset: 0,
        }
    }

    pub(super) const fn _leftover_span(&self) -> Span {
        self.source.len() - self.input.len()..self.source.len()
    }

    /// Calls the function with a lexer and returns the result of the function as well as the span for everything the function parsed
    ///
    /// # Examples
    /// ```ignore
    /// let lexer = Lexer::new("5");
    /// let (value, span) = lexer.capture_span(Lexer::next_uint_literal);
    /// assert_eq!(value, 5);
    /// ```
    #[inline]
    pub fn capture_span<T, E>(
        &mut self,
        inner: impl FnOnce(&mut Self) -> Result<T, E>,
    ) -> Result<(T, Span), E> {
        let start = self.current_byte_offset();
        let res = inner(self)?;
        let end = self.current_byte_offset();
        Ok((res, start..end))
    }

    pub(super) fn start_byte_offset(&mut self) -> usize {
        loop {
            // Eat all trivia because `next` doesn't eat trailing trivia.
            let (token, rest) = consume_token(self.input, false);
            if let Token::Trivia = token {
                self.input = rest;
            } else {
                return self.current_byte_offset();
            }
        }
    }

    pub(super) const fn end_byte_offset(&self) -> usize {
        self.last_end_offset
    }

    fn peek_token_and_rest(&mut self) -> (TokenSpan<'a>, &'a str) {
        let mut cloned = self.clone();
        let token = cloned.next();
        let rest = cloned.input;
        (token, rest)
    }

    const fn current_byte_offset(&self) -> usize {
        self.source.len() - self.input.len()
    }

    pub(super) const fn span_from(&self, offset: usize) -> Span {
        offset..self.end_byte_offset()
    }

    #[must_use]
    pub(super) fn next(&mut self) -> TokenSpan<'a> {
        let mut start_byte_offset = self.current_byte_offset();
        loop {
            let (token, rest) = consume_token(self.input, false);
            self.input = rest;
            match token {
                Token::Trivia => start_byte_offset = self.current_byte_offset(),
                _ => {
                    self.last_end_offset = self.current_byte_offset();
                    return (token, start_byte_offset..self.last_end_offset);
                }
            }
        }
    }

    #[must_use]
    pub(super) fn next_generic(&mut self) -> TokenSpan<'a> {
        let mut start_byte_offset = self.current_byte_offset();
        loop {
            let (token, rest) = consume_token(self.input, true);
            self.input = rest;
            match token {
                Token::Trivia => start_byte_offset = self.current_byte_offset(),
                _ => return (token, start_byte_offset..self.current_byte_offset()),
            }
        }
    }

    #[must_use]
    pub(super) fn peek(&mut self) -> TokenSpan<'a> {
        let (token, _) = self.peek_token_and_rest();
        token
    }

    pub(super) fn expect_span(
        &mut self,
        expected: Token<'a>,
    ) -> Result<std::ops::Range<usize>, Error<'a>> {
        let next = self.next();
        if next.0 == expected {
            Ok(next.1)
        } else {
            Err(Error::Unexpected(next.1, ExpectedToken::Token(expected)))
        }
    }

    pub(super) fn expect(&mut self, expected: Token<'a>) -> Result<(), Error<'a>> {
        self.expect_span(expected)?;
        Ok(())
    }

    pub(super) fn expect_generic_paren(&mut self, expected: char) -> Result<(), Error<'a>> {
        let next = self.next_generic();
        if next.0 == Token::Paren(expected) {
            Ok(())
        } else {
            Err(Error::Unexpected(
                next.1,
                ExpectedToken::Token(Token::Paren(expected)),
            ))
        }
    }

    /// If the next token matches it is skipped and true is returned
    pub(super) fn skip(&mut self, what: Token<'_>) -> bool {
        let (peeked_token, rest) = self.peek_token_and_rest();
        if peeked_token.0 == what {
            self.input = rest;
            true
        } else {
            false
        }
    }

    pub(super) fn next_ident_with_span(&mut self) -> Result<(&'a str, Span), Error<'a>> {
        match self.next() {
            (Token::Word(word), span) if word == "_" => {
                Err(Error::InvalidIdentifierUnderscore(span))
            }
            (Token::Word(word), span) if word.starts_with("__") => {
                Err(Error::ReservedIdentifierPrefix(span))
            }
            (Token::Word(word), span) => Ok((word, span)),
            other => Err(Error::Unexpected(other.1, ExpectedToken::Identifier)),
        }
    }

    pub(super) fn next_ident(&mut self) -> Result<&'a str, Error<'a>> {
        self.next_ident_with_span().map(|(word, _)| word)
    }

    /// Parses a generic scalar type, for example `<f32>`.
    pub(super) fn next_scalar_generic(
        &mut self,
    ) -> Result<(crate::ScalarKind, crate::Bytes), Error<'a>> {
        self.expect_generic_paren('<')?;
        let pair = match self.next() {
            (Token::Word(word), span) => {
                conv::get_scalar_type(word).ok_or(Error::UnknownScalarType(span))
            }
            (_, span) => Err(Error::UnknownScalarType(span)),
        }?;
        self.expect_generic_paren('>')?;
        Ok(pair)
    }

    /// Parses a generic scalar type, for example `<f32>`.
    ///
    /// Returns the span covering the inner type, excluding the brackets.
    pub(super) fn next_scalar_generic_with_span(
        &mut self,
    ) -> Result<(crate::ScalarKind, crate::Bytes, Span), Error<'a>> {
        self.expect_generic_paren('<')?;
        let pair = match self.next() {
            (Token::Word(word), span) => conv::get_scalar_type(word)
                .map(|(a, b)| (a, b, span.clone()))
                .ok_or(Error::UnknownScalarType(span)),
            (_, span) => Err(Error::UnknownScalarType(span)),
        }?;
        self.expect_generic_paren('>')?;
        Ok(pair)
    }

    pub(super) fn next_storage_access(&mut self) -> Result<crate::StorageAccess, Error<'a>> {
        let (ident, span) = self.next_ident_with_span()?;
        match ident {
            "read" => Ok(crate::StorageAccess::LOAD),
            "write" => Ok(crate::StorageAccess::STORE),
            "read_write" => Ok(crate::StorageAccess::LOAD | crate::StorageAccess::STORE),
            _ => Err(Error::UnknownAccess(span)),
        }
    }

    pub(super) fn next_format_generic(
        &mut self,
    ) -> Result<(crate::StorageFormat, crate::StorageAccess), Error<'a>> {
        self.expect(Token::Paren('<'))?;
        let (ident, ident_span) = self.next_ident_with_span()?;
        let format = conv::map_storage_format(ident, ident_span)?;
        self.expect(Token::Separator(','))?;
        let access = self.next_storage_access()?;
        self.expect(Token::Paren('>'))?;
        Ok((format, access))
    }

    pub(super) fn open_arguments(&mut self) -> Result<(), Error<'a>> {
        self.expect(Token::Paren('('))
    }

    pub(super) fn close_arguments(&mut self) -> Result<(), Error<'a>> {
        let _ = self.skip(Token::Separator(','));
        self.expect(Token::Paren(')'))
    }

    pub(super) fn next_argument(&mut self) -> Result<bool, Error<'a>> {
        let paren = Token::Paren(')');
        if self.skip(Token::Separator(',')) {
            Ok(!self.skip(paren))
        } else {
            self.expect(paren).map(|()| false)
        }
    }
}

#[cfg(test)]
use super::{number::Number, NumberError};

#[cfg(test)]
fn sub_test(source: &str, expected_tokens: &[Token]) {
    let mut lex = Lexer::new(source);
    for &token in expected_tokens {
        assert_eq!(lex.next().0, token);
    }
    assert_eq!(lex.next().0, Token::End);
}

#[test]
fn test_numbers() {
    // WGSL spec examples //

    // decimal integer
    sub_test(
        "0x123 0X123u 1u 123 0 0i 0x3f",
        &[
            Token::Number(Ok(Number::I32(291))),
            Token::Number(Ok(Number::U32(291))),
            Token::Number(Ok(Number::U32(1))),
            Token::Number(Ok(Number::I32(123))),
            Token::Number(Ok(Number::I32(0))),
            Token::Number(Ok(Number::I32(0))),
            Token::Number(Ok(Number::I32(63))),
        ],
    );
    // decimal floating point
    sub_test(
        "0.e+4f 01. .01 12.34 .0f 0h 1e-3 0xa.fp+2 0x1P+4f 0X.3 0x3p+2h 0X1.fp-4 0x3.2p+2h",
        &[
            Token::Number(Ok(Number::F32(0.))),
            Token::Number(Ok(Number::F32(1.))),
            Token::Number(Ok(Number::F32(0.01))),
            Token::Number(Ok(Number::F32(12.34))),
            Token::Number(Ok(Number::F32(0.))),
            Token::Number(Err(NumberError::UnimplementedF16)),
            Token::Number(Ok(Number::F32(0.001))),
            Token::Number(Ok(Number::F32(43.75))),
            Token::Number(Ok(Number::F32(16.))),
            Token::Number(Ok(Number::F32(0.1875))),
            Token::Number(Err(NumberError::UnimplementedF16)),
            Token::Number(Ok(Number::F32(0.12109375))),
            Token::Number(Err(NumberError::UnimplementedF16)),
        ],
    );

    // MIN / MAX //

    // min / max decimal signed integer
    sub_test(
        "-2147483648i 2147483647i -2147483649i 2147483648i",
        &[
            Token::Number(Ok(Number::I32(i32::MIN))),
            Token::Number(Ok(Number::I32(i32::MAX))),
            Token::Number(Err(NumberError::NotRepresentable)),
            Token::Number(Err(NumberError::NotRepresentable)),
        ],
    );
    // min / max decimal unsigned integer
    sub_test(
        "0u 4294967295u -1u 4294967296u",
        &[
            Token::Number(Ok(Number::U32(u32::MIN))),
            Token::Number(Ok(Number::U32(u32::MAX))),
            Token::Number(Err(NumberError::NotRepresentable)),
            Token::Number(Err(NumberError::NotRepresentable)),
        ],
    );

    // min / max hexadecimal signed integer
    sub_test(
        "-0x80000000i 0x7FFFFFFFi -0x80000001i 0x80000000i",
        &[
            Token::Number(Ok(Number::I32(i32::MIN))),
            Token::Number(Ok(Number::I32(i32::MAX))),
            Token::Number(Err(NumberError::NotRepresentable)),
            Token::Number(Err(NumberError::NotRepresentable)),
        ],
    );
    // min / max hexadecimal unsigned integer
    sub_test(
        "0x0u 0xFFFFFFFFu -0x1u 0x100000000u",
        &[
            Token::Number(Ok(Number::U32(u32::MIN))),
            Token::Number(Ok(Number::U32(u32::MAX))),
            Token::Number(Err(NumberError::NotRepresentable)),
            Token::Number(Err(NumberError::NotRepresentable)),
        ],
    );

    /// ≈ 2^-126 * 2^−23 (= 2^−149)
    const SMALLEST_POSITIVE_SUBNORMAL_F32: f32 = 1e-45;
    /// ≈ 2^-126 * (1 − 2^−23)
    const LARGEST_SUBNORMAL_F32: f32 = 1.1754942e-38;
    /// ≈ 2^-126
    const SMALLEST_POSITIVE_NORMAL_F32: f32 = f32::MIN_POSITIVE;
    /// ≈ 1 − 2^−24
    const LARGEST_F32_LESS_THAN_ONE: f32 = 0.99999994;
    /// ≈ 1 + 2^−23
    const SMALLEST_F32_LARGER_THAN_ONE: f32 = 1.0000001;
    /// ≈ -(2^127 * (2 − 2^−23))
    const SMALLEST_NORMAL_F32: f32 = f32::MIN;
    /// ≈ 2^127 * (2 − 2^−23)
    const LARGEST_NORMAL_F32: f32 = f32::MAX;

    // decimal floating point
    sub_test(
        "1e-45f 1.1754942e-38f 1.17549435e-38f 0.99999994f 1.0000001f -3.40282347e+38f 3.40282347e+38f",
        &[
            Token::Number(Ok(Number::F32(
                SMALLEST_POSITIVE_SUBNORMAL_F32,
            ))),
            Token::Number(Ok(Number::F32(
                LARGEST_SUBNORMAL_F32,
            ))),
            Token::Number(Ok(Number::F32(
                SMALLEST_POSITIVE_NORMAL_F32,
            ))),
            Token::Number(Ok(Number::F32(
                LARGEST_F32_LESS_THAN_ONE,
            ))),
            Token::Number(Ok(Number::F32(
                SMALLEST_F32_LARGER_THAN_ONE,
            ))),
            Token::Number(Ok(Number::F32(
                SMALLEST_NORMAL_F32,
            ))),
            Token::Number(Ok(Number::F32(
                LARGEST_NORMAL_F32,
            ))),
        ],
    );
    sub_test(
        "-3.40282367e+38f 3.40282367e+38f",
        &[
            Token::Number(Err(NumberError::NotRepresentable)), // ≈ -2^128
            Token::Number(Err(NumberError::NotRepresentable)), // ≈ 2^128
        ],
    );

    // hexadecimal floating point
    sub_test(
        "0x1p-149f 0x7FFFFFp-149f 0x1p-126f 0xFFFFFFp-24f 0x800001p-23f -0xFFFFFFp+104f 0xFFFFFFp+104f",
        &[
            Token::Number(Ok(Number::F32(
                SMALLEST_POSITIVE_SUBNORMAL_F32,
            ))),
            Token::Number(Ok(Number::F32(
                LARGEST_SUBNORMAL_F32,
            ))),
            Token::Number(Ok(Number::F32(
                SMALLEST_POSITIVE_NORMAL_F32,
            ))),
            Token::Number(Ok(Number::F32(
                LARGEST_F32_LESS_THAN_ONE,
            ))),
            Token::Number(Ok(Number::F32(
                SMALLEST_F32_LARGER_THAN_ONE,
            ))),
            Token::Number(Ok(Number::F32(
                SMALLEST_NORMAL_F32,
            ))),
            Token::Number(Ok(Number::F32(
                LARGEST_NORMAL_F32,
            ))),
        ],
    );
    sub_test(
        "-0x1p128f 0x1p128f 0x1.000001p0f",
        &[
            Token::Number(Err(NumberError::NotRepresentable)), // = -2^128
            Token::Number(Err(NumberError::NotRepresentable)), // = 2^128
            Token::Number(Err(NumberError::NotRepresentable)),
        ],
    );
}

#[test]
fn test_tokens() {
    sub_test("id123_OK", &[Token::Word("id123_OK")]);
    sub_test(
        "92No",
        &[Token::Number(Ok(Number::I32(92))), Token::Word("No")],
    );
    sub_test(
        "2u3o",
        &[
            Token::Number(Ok(Number::U32(2))),
            Token::Number(Ok(Number::I32(3))),
            Token::Word("o"),
        ],
    );
    sub_test(
        "2.4f44po",
        &[
            Token::Number(Ok(Number::F32(2.4))),
            Token::Number(Ok(Number::I32(44))),
            Token::Word("po"),
        ],
    );
    sub_test(
        "Δέλτα réflexion Кызыл 𐰓𐰏𐰇 朝焼け سلام 검정 שָׁלוֹם गुलाबी փիրուզ",
        &[
            Token::Word("Δέλτα"),
            Token::Word("réflexion"),
            Token::Word("Кызыл"),
            Token::Word("𐰓𐰏𐰇"),
            Token::Word("朝焼け"),
            Token::Word("سلام"),
            Token::Word("검정"),
            Token::Word("שָׁלוֹם"),
            Token::Word("गुलाबी"),
            Token::Word("փիրուզ"),
        ],
    );
    sub_test("æNoø", &[Token::Word("æNoø")]);
    sub_test("No¾", &[Token::Word("No"), Token::Unknown('¾')]);
    sub_test("No好", &[Token::Word("No好")]);
    sub_test("_No", &[Token::Word("_No")]);
    sub_test(
        "*/*/***/*//=/*****//",
        &[
            Token::Operation('*'),
            Token::AssignmentOperation('/'),
            Token::Operation('/'),
        ],
    );
}

#[test]
fn test_variable_decl() {
    sub_test(
        "@group(0 ) var< uniform> texture:   texture_multisampled_2d <f32 >;",
        &[
            Token::Attribute,
            Token::Word("group"),
            Token::Paren('('),
            Token::Number(Ok(Number::I32(0))),
            Token::Paren(')'),
            Token::Word("var"),
            Token::Paren('<'),
            Token::Word("uniform"),
            Token::Paren('>'),
            Token::Word("texture"),
            Token::Separator(':'),
            Token::Word("texture_multisampled_2d"),
            Token::Paren('<'),
            Token::Word("f32"),
            Token::Paren('>'),
            Token::Separator(';'),
        ],
    );
    sub_test(
        "var<storage,read_write> buffer: array<u32>;",
        &[
            Token::Word("var"),
            Token::Paren('<'),
            Token::Word("storage"),
            Token::Separator(','),
            Token::Word("read_write"),
            Token::Paren('>'),
            Token::Word("buffer"),
            Token::Separator(':'),
            Token::Word("array"),
            Token::Paren('<'),
            Token::Word("u32"),
            Token::Paren('>'),
            Token::Separator(';'),
        ],
    );
}


================================================
FILE: lib/naga/src/front/wgsl/mod.rs
================================================
/*!
Frontend for [WGSL][wgsl] (WebGPU Shading Language).

[wgsl]: https://gpuweb.github.io/gpuweb/wgsl.html
*/

mod construction;
mod conv;
mod lexer;
mod number;
#[cfg(test)]
mod tests;

use crate::{
    arena::{Arena, Handle, UniqueArena},
    proc::{
        ensure_block_returns, Alignment, Layouter, ResolveContext, ResolveError, TypeResolution,
    },
    span::SourceLocation,
    span::Span as NagaSpan,
    ConstantInner, FastHashMap, ScalarValue,
};

use self::{lexer::Lexer, number::Number};
use codespan_reporting::{
    diagnostic::{Diagnostic, Label},
    files::SimpleFile,
    term::{
        self,
        termcolor::{ColorChoice, NoColor, StandardStream},
    },
};
use std::{borrow::Cow, convert::TryFrom, ops};
use thiserror::Error;

type Span = ops::Range<usize>;
type TokenSpan<'a> = (Token<'a>, Span);

#[derive(Copy, Clone, Debug, PartialEq)]
pub enum Token<'a> {
    Separator(char),
    Paren(char),
    Attribute,
    Number(Result<Number, NumberError>),
    Word(&'a str),
    Operation(char),
    LogicalOperation(char),
    ShiftOperation(char),
    AssignmentOperation(char),
    IncrementOperation,
    DecrementOperation,
    Arrow,
    Unknown(char),
    Trivia,
    End,
}

#[derive(Copy, Clone, Debug, PartialEq)]
pub enum NumberType {
    I32,
    U32,
    F32,
}

#[derive(Copy, Clone, Debug, PartialEq)]
pub enum ExpectedToken<'a> {
    Token(Token<'a>),
    Identifier,
    Number(NumberType),
    Integer,
    Constant,
    /// Expected: constant, parenthesized expression, identifier
    PrimaryExpression,
    /// Expected: assignment, increment/decrement expression
    Assignment,
    /// Expected: '}', identifier
    FieldName,
    /// Expected: attribute for a type
    TypeAttribute,
    /// Expected: ';', '{', word
    Statement,
    /// Expected: 'case', 'default', '}'
    SwitchItem,
    /// Expected: ',', ')'
    WorkgroupSizeSeparator,
    /// Expected: 'struct', 'let', 'var', 'type', ';', 'fn', eof
    GlobalItem,
}

#[derive(Clone, Copy, Debug, Error, PartialEq)]
pub enum NumberError {
    #[error("invalid numeric literal format")]
    Invalid,
    #[error("numeric literal not representable by target type")]
    NotRepresentable,
    #[error("unimplemented f16 type")]
    UnimplementedF16,
}

#[derive(Copy, Clone, Debug, PartialEq)]
pub enum InvalidAssignmentType {
    Other,
    Swizzle,
    ImmutableBinding,
}

#[derive(Clone, Debug)]
pub enum Error<'a> {
    Unexpected(Span, ExpectedToken<'a>),
    UnexpectedComponents(Span),
    BadNumber(Span, NumberError),
    /// A negative signed integer literal where both signed and unsigned,
    /// but only non-negative literals are allowed.
    NegativeInt(Span),
    BadU32Constant(Span),
    BadMatrixScalarKind(Span, crate::ScalarKind, u8),
    BadAccessor(Span),
    BadTexture(Span),
    BadTypeCast {
        span: Span,
        from_type: String,
        to_type: String,
    },
    BadTextureSampleType {
        span: Span,
        kind: crate::ScalarKind,
        width: u8,
    },
    BadIncrDecrReferenceType(Span),
    InvalidResolve(ResolveError),
    InvalidForInitializer(Span),
    /// A break if appeared outside of a continuing block
    InvalidBreakIf(Span),
    InvalidGatherComponent(Span, u32),
    InvalidConstructorComponentType(Span, i32),
    InvalidIdentifierUnderscore(Span),
    ReservedIdentifierPrefix(Span),
    UnknownAddressSpace(Span),
    UnknownAttribute(Span),
    UnknownBuiltin(Span),
    UnknownAccess(Span),
    UnknownShaderStage(Span),
    UnknownIdent(Span, &'a str),
    UnknownScalarType(Span),
    UnknownType(Span),
    UnknownStorageFormat(Span),
    UnknownConservativeDepth(Span),
    SizeAttributeTooLow(Span, u32),
    AlignAttributeTooLow(Span, Alignment),
    NonPowerOfTwoAlignAttribute(Span),
    InconsistentBinding(Span),
    UnknownLocalFunction(Span),
    TypeNotConstructible(Span),
    TypeNotInferrable(Span),
    InitializationTypeMismatch(Span, String),
    MissingType(Span),
    MissingAttribute(&'static str, Span),
    InvalidAtomicPointer(Span),
    InvalidAtomicOperandType(Span),
    Pointer(&'static str, Span),
    NotPointer(Span),
    NotReference(&'static str, Span),
    InvalidAssignment {
        span: Span,
        ty: InvalidAssignmentType,
    },
    ReservedKeyword(Span),
    Redefinition {
        previous: Span,
        current: Span,
    },
    Other,
}

impl<'a> Error<'a> {
    fn as_parse_error(&self, source: &'a str) -> ParseError {
        match *self {
            Error::Unexpected(ref unexpected_span, expected) => {
                let expected_str = match expected {
                        ExpectedToken::Token(token) => {
                            match token {
                                Token::Separator(c) => format!("'{}'", c),
                                Token::Paren(c) => format!("'{}'", c),
                                Token::Attribute => "@".to_string(),
                                Token::Number(_) => "number".to_string(),
                                Token::Word(s) => s.to_string(),
                                Token::Operation(c) => format!("operation ('{}')", c),
                                Token::LogicalOperation(c) => format!("logical operation ('{}')", c),
                                Token::ShiftOperation(c) => format!("bitshift ('{}{}')", c, c),
                                Token::AssignmentOperation(c) if c=='<' || c=='>' => format!("bitshift ('{}{}=')", c, c),
                                Token::AssignmentOperation(c) => format!("operation ('{}=')", c),
                                Token::IncrementOperation => "increment operation".to_string(),
                                Token::DecrementOperation => "decrement operation".to_string(),
                                Token::Arrow => "->".to_string(),
                                Token::Unknown(c) => format!("unknown ('{}')", c),
                                Token::Trivia => "trivia".to_string(),
                                Token::End => "end".to_string(),
                            }
                        }
                        ExpectedToken::Identifier => "identifier".to_string(),
                        ExpectedToken::Number(ty) => {
                            match ty {
                                NumberType::I32 => "32-bit signed integer literal",
                                NumberType::U32 => "32-bit unsigned integer literal",
                                NumberType::F32 => "32-bit floating-point literal",
                            }.to_string()
                        },
                        ExpectedToken::Integer => "unsigned/signed integer literal".to_string(),
                        ExpectedToken::Constant => "constant".to_string(),
                        ExpectedToken::PrimaryExpression => "expression".to_string(),
                        ExpectedToken::Assignment => "assignment or increment/decrement".to_string(),
                        ExpectedToken::FieldName => "field name or a closing curly bracket to signify the end of the struct".to_string(),
                        ExpectedToken::TypeAttribute => "type attribute".to_string(),
                        ExpectedToken::Statement => "statement".to_string(),
                        ExpectedToken::SwitchItem => "switch item ('case' or 'default') or a closing curly bracket to signify the end of the switch statement ('}')".to_string(),
                        ExpectedToken::WorkgroupSizeSeparator => "workgroup size separator (',') or a closing parenthesis".to_string(),
                        ExpectedToken::GlobalItem => "global item ('struct', 'let', 'var', 'type', ';', 'fn') or the end of the file".to_string(),
                    };
                ParseError {
                    message: format!(
                        "expected {}, found '{}'",
                        expected_str,
                        &source[unexpected_span.clone()],
                    ),
                    labels: vec![(
                        unexpected_span.clone(),
                        format!("expected {}", expected_str).into(),
                    )],
                    notes: vec![],
                }
            }
            Error::UnexpectedComponents(ref bad_span) => ParseError {
                message: "unexpected components".to_string(),
                labels: vec![(bad_span.clone(), "unexpected components".into())],
                notes: vec![],
            },
            Error::BadNumber(ref bad_span, ref err) => ParseError {
                message: format!("{}: `{}`", err, &source[bad_span.clone()],),
                labels: vec![(bad_span.clone(), err.to_string().into())],
                notes: vec![],
            },
            Error::NegativeInt(ref bad_span) => ParseError {
                message: format!(
                    "expected non-negative integer literal, found `{}`",
                    &source[bad_span.clone()],
                ),
                labels: vec![(bad_span.clone(), "expected non-negative integer".into())],
                notes: vec![],
            },
            Error::BadU32Constant(ref bad_span) => ParseError {
                message: format!(
                    "expected unsigned integer constant expression, found `{}`",
                    &source[bad_span.clone()],
                ),
                labels: vec![(bad_span.clone(), "expected unsigned integer".into())],
                notes: vec![],
            },
            Error::BadMatrixScalarKind(ref span, kind, width) => ParseError {
                message: format!(
                    "matrix scalar type must be floating-point, but found `{}`",
                    kind.to_wgsl(width)
                ),
                labels: vec![(span.clone(), "must be floating-point (e.g. `f32`)".into())],
                notes: vec![],
            },
            Error::BadAccessor(ref accessor_span) => ParseError {
                message: format!(
                    "invalid field accessor `{}`",
                    &source[accessor_span.clone()],
                ),
                labels: vec![(accessor_span.clone(), "invalid accessor".into())],
                notes: vec![],
            },
            Error::UnknownIdent(ref ident_span, ident) => ParseError {
                message: format!("no definition in scope for identifier: '{}'", ident),
                labels: vec![(ident_span.clone(), "unknown identifier".into())],
                notes: vec![],
            },
            Error::UnknownScalarType(ref bad_span) => ParseError {
                message: format!("unknown scalar type: '{}'", &source[bad_span.clone()]),
                labels: vec![(bad_span.clone(), "unknown scalar type".into())],
                notes: vec!["Valid scalar types are f16, f32, f64, \
                             i8, i16, i32, i64, \
                             u8, u16, u32, u64, bool"
                    .into()],
            },
            Error::BadTextureSampleType {
                ref span,
                kind,
                width,
            } => ParseError {
                message: format!(
                    "texture sample type must be one of f32, i32 or u32, but found {}",
                    kind.to_wgsl(width)
                ),
                labels: vec![(span.clone(), "must be one of f32, i32 or u32".into())],
                notes: vec![],
            },
            Error::BadIncrDecrReferenceType(ref span) => ParseError {
                message:
                    "increment/decrement operation requires reference type to be one of i32 or u32"
                        .to_string(),
                labels: vec![(
                    span.clone(),
                    "must be a reference type of i32 or u32".into(),
                )],
                notes: vec![],
            },
            Error::BadTexture(ref bad_span) => ParseError {
                message: format!(
                    "expected an image, but found '{}' which is not an image",
                    &source[bad_span.clone()]
                ),
                labels: vec![(bad_span.clone(), "not an image".into())],
                notes: vec![],
            },
            Error::BadTypeCast {
                ref span,
                ref from_type,
                ref to_type,
            } => {
                let msg = format!("cannot cast a {} to a {}", from_type, to_type);
                ParseError {
                    message: msg.clone(),
                    labels: vec![(span.clone(), msg.into())],
                    notes: vec![],
                }
            }
            Error::InvalidResolve(ref resolve_error) => ParseError {
                message: resolve_error.to_string(),
                labels: vec![],
                notes: vec![],
            },
            Error::InvalidForInitializer(ref bad_span) => ParseError {
                message: format!(
                    "for(;;) initializer is not an assignment or a function call: '{}'",
                    &source[bad_span.clone()]
                ),
                labels: vec![(
                    bad_span.clone(),
                    "not an assignment or function call".into(),
                )],
                notes: vec![],
            },
            Error::InvalidBreakIf(ref bad_span) => ParseError {
                message: "A break if is only allowed in a continuing block".to_string(),
                labels: vec![(bad_span.clone(), "not in a continuing block".into())],
                notes: vec![],
            },
            Error::InvalidGatherComponent(ref bad_span, component) => ParseError {
                message: format!(
                    "textureGather component {} doesn't exist, must be 0, 1, 2, or 3",
                    component
                ),
                labels: vec![(bad_span.clone(), "invalid component".into())],
                notes: vec![],
            },
            Error::InvalidConstructorComponentType(ref bad_span, component) => ParseError {
                message: format!(
                    "invalid type for constructor component at index [{}]",
                    component
                ),
                labels: vec![(bad_span.clone(), "invalid component type".into())],
                notes: vec![],
            },
            Error::InvalidIdentifierUnderscore(ref bad_span) => ParseError {
                message: "Identifier can't be '_'".to_string(),
                labels: vec![(bad_span.clone(), "invalid identifier".into())],
                notes: vec![
                    "Use phony assignment instead ('_ =' notice the absence of 'let' or 'var')"
                        .to_string(),
                ],
            },
            Error::ReservedIdentifierPrefix(ref bad_span) => ParseError {
                message: format!(
                    "Identifier starts with a reserved prefix: '{}'",
                    &source[bad_span.clone()]
                ),
                labels: vec![(bad_span.clone(), "invalid identifier".into())],
                notes: vec![],
            },
            Error::UnknownAddressSpace(ref bad_span) => ParseError {
                message: format!("unknown address space: '{}'", &source[bad_span.clone()]),
                labels: vec![(bad_span.clone(), "unknown address space".into())],
                notes: vec![],
            },
            Error::UnknownAttribute(ref bad_span) => ParseError {
                message: format!("unknown attribute: '{}'", &source[bad_span.clone()]),
                labels: vec![(bad_span.clone(), "unknown attribute".into())],
                notes: vec![],
            },
            Error::UnknownBuiltin(ref bad_span) => ParseError {
                message: format!("unknown builtin: '{}'", &source[bad_span.clone()]),
                labels: vec![(bad_span.clone(), "unknown builtin".into())],
                notes: vec![],
            },
            Error::UnknownAccess(ref bad_span) => ParseError {
                message: format!("unknown access: '{}'", &source[bad_span.clone()]),
                labels: vec![(bad_span.clone(), "unknown access".into())],
                notes: vec![],
            },
            Error::UnknownShaderStage(ref bad_span) => ParseError {
                message: format!("unknown shader stage: '{}'", &source[bad_span.clone()]),
                labels: vec![(bad_span.clone(), "unknown shader stage".into())],
                notes: vec![],
            },
            Error::UnknownStorageFormat(ref bad_span) => ParseError {
                message: format!("unknown storage format: '{}'", &source[bad_span.clone()]),
                labels: vec![(bad_span.clone(), "unknown storage format".into())],
                notes: vec![],
            },
            Error::UnknownConservativeDepth(ref bad_span) => ParseError {
                message: format!(
                    "unknown conservative depth: '{}'",
                    &source[bad_span.clone()]
                ),
                labels: vec![(bad_span.clone(), "unknown conservative depth".into())],
                notes: vec![],
            },
            Error::UnknownType(ref bad_span) => ParseError {
                message: format!("unknown type: '{}'", &source[bad_span.clone()]),
                labels: vec![(bad_span.clone(), "unknown type".into())],
                notes: vec![],
            },
            Error::SizeAttributeTooLow(ref bad_span, min_size) => ParseError {
                message: format!("struct member size must be at least {}", min_size),
                labels: vec![(
                    bad_span.clone(),
                    format!("must be at least {}", min_size).into(),
                )],
                notes: vec![],
            },
            Error::AlignAttributeTooLow(ref bad_span, min_align) => ParseError {
                message: format!("struct member alignment must be at least {}", min_align),
                labels: vec![(
                    bad_span.clone(),
                    format!("must be at least {}", min_align).into(),
                )],
                notes: vec![],
            },
            Error::NonPowerOfTwoAlignAttribute(ref bad_span) => ParseError {
                message: "struct member alignment must be a power of 2".to_string(),
                labels: vec![(bad_span.clone(), "must be a power of 2".into())],
                notes: vec![],
            },
            Error::InconsistentBinding(ref span) => ParseError {
                message: "input/output binding is not consistent".to_string(),
                labels: vec![(
                    span.clone(),
                    "input/output binding is not consistent".into(),
                )],
                notes: vec![],
            },
            Error::UnknownLocalFunction(ref span) => ParseError {
                message: format!("unknown local function `{}`", &source[span.clone()]),
                labels: vec![(span.clone(), "unknown local function".into())],
                notes: vec![],
            },
            Error::TypeNotConstructible(ref span) => ParseError {
                message: format!("type `{}` is not constructible", &source[span.clone()]),
                labels: vec![(span.clone(), "type is not constructible".into())],
                notes: vec![],
            },
            Error::TypeNotInferrable(ref span) => ParseError {
                message: "type can't be inferred".to_string(),
                labels: vec![(span.clone(), "type can't be inferred".into())],
                notes: vec![],
            },
            Error::InitializationTypeMismatch(ref name_span, ref expected_ty) => ParseError {
                message: format!(
                    "the type of `{}` is expected to be `{}`",
                    &source[name_span.clone()],
                    expected_ty
                ),
                labels: vec![(
                    name_span.clone(),
                    format!("definition of `{}`", &source[name_span.clone()]).into(),
                )],
                notes: vec![],
            },
            Error::MissingType(ref name_span) => ParseError {
                message: format!("variable `{}` needs a type", &source[name_span.clone()]),
                labels: vec![(
                    name_span.clone(),
                    format!("definition of `{}`", &source[name_span.clone()]).into(),
                )],
                notes: vec![],
            },
            Error::MissingAttribute(name, ref name_span) => ParseError {
                message: format!(
                    "variable `{}` needs a '{}' attribute",
                    &source[name_span.clone()],
                    name
                ),
                labels: vec![(
                    name_span.clone(),
                    format!("definition of `{}`", &source[name_span.clone()]).into(),
                )],
                notes: vec![],
            },
            Error::InvalidAtomicPointer(ref span) => ParseError {
                message: "atomic operation is done on a pointer to a non-atomic".to_string(),
                labels: vec![(span.clone(), "atomic pointer is invalid".into())],
                notes: vec![],
            },
            Error::InvalidAtomicOperandType(ref span) => ParseError {
                message: "atomic operand type is inconsistent with the operation".to_string(),
                labels: vec![(span.clone(), "atomic operand type is invalid".into())],
                notes: vec![],
            },
            Error::NotPointer(ref span) => ParseError {
                message: "the operand of the `*` operator must be a pointer".to_string(),
                labels: vec![(span.clone(), "expression is not a pointer".into())],
                notes: vec![],
            },
            Error::NotReference(what, ref span) => ParseError {
                message: format!("{} must be a reference", what),
                labels: vec![(span.clone(), "expression is not a reference".into())],
                notes: vec![],
            },
            Error::InvalidAssignment { ref span, ty } => ParseError {
                message: "invalid left-hand side of assignment".into(),
                labels: vec![(span.clone(), "cannot assign to this expression".into())],
                notes: match ty {
                    InvalidAssignmentType::Swizzle => vec![
                        "WGSL does not support assignments to swizzles".into(),
                        "consider assigning each component individually".into(),
                    ],
                    InvalidAssignmentType::ImmutableBinding => vec![
                        format!("'{}' is an immutable binding", &source[span.clone()]),
                        "consider declaring it with `var` instead of `let`".into(),
                    ],
                    InvalidAssignmentType::Other => vec![],
                },
            },
            Error::Pointer(what, ref span) => ParseError {
                message: format!("{} must not be a pointer", what),
                labels: vec![(span.clone(), "expression is a pointer".into())],
                notes: vec![],
            },
            Error::ReservedKeyword(ref name_span) => ParseError {
                message: format!(
                    "name `{}` is a reserved keyword",
                    &source[name_span.clone()]
                ),
                labels: vec![(
                    name_span.clone(),
                    format!("definition of `{}`", &source[name_span.clone()]).into(),
                )],
                notes: vec![],
            },
            Error::Redefinition {
                ref previous,
                ref current,
            } => ParseError {
                message: format!("redefinition of `{}`", &source[current.clone()]),
                labels: vec![
                    (
                        current.clone(),
                        format!("redefinition of `{}`", &source[current.clone()]).into(),
                    ),
                    (
                        previous.clone(),
                        format!("previous definition of `{}`", &source[previous.clone()]).into(),
                    ),
                ],
                notes: vec![],
            },
            Error::Other => ParseError {
                message: "other error".to_string(),
                labels: vec![],
                notes: vec![],
            },
        }
    }
}

impl crate::StorageFormat {
    const fn to_wgsl(self) -> &'static str {
        use crate::StorageFormat as Sf;
        match self {
            Sf::R8Unorm => "r8unorm",
            Sf::R8Snorm => "r8snorm",
            Sf::R8Uint => "r8uint",
            Sf::R8Sint => "r8sint",
            Sf::R16Uint => "r16uint",
            Sf::R16Sint => "r16sint",
            Sf::R16Float => "r16float",
            Sf::Rg8Unorm => "rg8unorm",
            Sf::Rg8Snorm => "rg8snorm",
            Sf::Rg8Uint => "rg8uint",
            Sf::Rg8Sint => "rg8sint",
            Sf::R32Uint => "r32uint",
            Sf::R32Sint => "r32sint",
            Sf::R32Float => "r32float",
            Sf::Rg16Uint => "rg16uint",
            Sf::Rg16Sint => "rg16sint",
            Sf::Rg16Float => "rg16float",
            Sf::Rgba8Unorm => "rgba8unorm",
            Sf::Rgba8Snorm => "rgba8snorm",
            Sf::Rgba8Uint => "rgba8uint",
            Sf::Rgba8Sint => "rgba8sint",
            Sf::Rgb10a2Unorm => "rgb10a2unorm",
            Sf::Rg11b10Float => "rg11b10float",
            Sf::Rg32Uint => "rg32uint",
            Sf::Rg32Sint => "rg32sint",
            Sf::Rg32Float => "rg32float",
            Sf::Rgba16Uint => "rgba16uint",
            Sf::Rgba16Sint => "rgba16sint",
            Sf::Rgba16Float => "rgba16float",
            Sf::Rgba32Uint => "rgba32uint",
            Sf::Rgba32Sint => "rgba32sint",
            Sf::Rgba32Float => "rgba32float",
        }
    }
}

impl crate::TypeInner {
    /// Formats the type as it is written in wgsl.
    ///
    /// For example `vec3<f32>`.
    ///
    /// Note: The names of a `TypeInner::Struct` is not known. Therefore this method will simply return "struct" for them.
    fn to_wgsl(
        &self,
        types: &UniqueArena<crate::Type>,
        constants: &Arena<crate::Constant>,
    ) -> String {
        use crate::TypeInner as Ti;

        match *self {
            Ti::Scalar { kind, width } => kind.to_wgsl(width),
            Ti::Vector { size, kind, width } => {
                format!("vec{}<{}>", size as u32, kind.to_wgsl(width))
            }
            Ti::Matrix {
                columns,
                rows,
                width,
            } => {
                format!(
                    "mat{}x{}<{}>",
                    columns as u32,
                    rows as u32,
                    crate::ScalarKind::Float.to_wgsl(width),
                )
            }
            Ti::Atomic { kind, width } => {
                format!("atomic<{}>", kind.to_wgsl(width))
            }
            Ti::Pointer { base, .. } => {
                let base = &types[base];
                let name = base.name.as_deref().unwrap_or("unknown");
                format!("ptr<{}>", name)
            }
            Ti::ValuePointer { kind, width, .. } => {
                format!("ptr<{}>", kind.to_wgsl(width))
            }
            Ti::Array { base, size, .. } => {
                let member_type = &types[base];
                let base = member_type.name.as_deref().unwrap_or("unknown");
                match size {
                    crate::ArraySize::Constant(size) => {
                        let size = constants[size].name.as_deref().unwrap_or("unknown");
                        format!("array<{}, {}>", base, size)
                    }
                    crate::ArraySize::Dynamic => format!("array<{}>", base),
                }
            }
            Ti::Struct { .. } => {
                // TODO: Actually output the struct?
                "struct".to_string()
            }
            Ti::Image {
                dim,
                arrayed,
                class,
            } => {
                let dim_suffix = match dim {
                    crate::ImageDimension::D1 => "_1d",
                    crate::ImageDimension::D2 => "_2d",
                    crate::ImageDimension::D3 => "_3d",
                    crate::ImageDimension::Cube => "_cube",
                };
                let array_suffix = if arrayed { "_array" } else { "" };

                let class_suffix = match class {
                    crate::ImageClass::Sampled { multi: true, .. } => "_multisampled",
                    crate::ImageClass::Depth { multi: false } => "_depth",
                    crate::ImageClass::Depth { multi: true } => "_depth_multisampled",
                    crate::ImageClass::Sampled { multi: false, .. }
                    | crate::ImageClass::Storage { .. } => "",
                };

                let type_in_brackets = match class {
                    crate::ImageClass::Sampled { kind, .. } => {
                        // Note: The only valid widths are 4 bytes wide.
                        // The lexer has already verified this, so we can safely assume it here.
                        // https://gpuweb.github.io/gpuweb/wgsl/#sampled-texture-type
                        let element_type = kind.to_wgsl(4);
                        format!("<{}>", element_type)
                    }
                    crate::ImageClass::Depth { multi: _ } => String::new(),
                    crate::ImageClass::Storage { format, access } => {
                        if access.contains(crate::StorageAccess::STORE) {
                            format!("<{},write>", format.to_wgsl())
                        } else {
                            format!("<{}>", format.to_wgsl())
                        }
                    }
                };

                format!(
                    "texture{}{}{}{}",
                    class_suffix, dim_suffix, array_suffix, type_in_brackets
                )
            }
            Ti::Sampler { .. } => "sampler".to_string(),
            Ti::BindingArray { base, size, .. } => {
                let member_type = &types[base];
                let base = member_type.name.as_deref().unwrap_or("unknown");
                match size {
                    crate::ArraySize::Constant(size) => {
                        let size = constants[size].name.as_deref().unwrap_or("unknown");
                        format!("binding_array<{}, {}>", base, size)
                    }
                    crate::ArraySize::Dynamic => format!("binding_array<{}>", base),
                }
            }
        }
    }
}

mod type_inner_tests {
    #[test]
    fn to_wgsl() {
        let mut types = crate::UniqueArena::new();
        let mut constants = crate::Arena::new();
        let c = constants.append(
            crate::Constant {
                name: Some("C".to_string()),
                specialization: None,
                inner: crate::ConstantInner::Scalar {
                    width: 4,
                    value: crate::ScalarValue::Uint(32),
                },
            },
            Default::default(),
        );

        let mytype1 = types.insert(
            crate::Type {
                name: Some("MyType1".to_string()),
                inner: crate::TypeInner::Struct {
                    members: vec![],
                    span: 0,
                },
            },
            Default::default(),
        );
        let mytype2 = types.insert(
            crate::Type {
                name: Some("MyType2".to_string()),
                inner: crate::TypeInner::Struct {
                    members: vec![],
                    span: 0,
                },
            },
            Default::default(),
        );

        let array = crate::TypeInner::Array {
            base: mytype1,
            stride: 4,
            size: crate::ArraySize::Constant(c),
        };
        assert_eq!(array.to_wgsl(&types, &constants), "array<MyType1, C>");

        let mat = crate::TypeInner::Matrix {
            rows: crate::VectorSize::Quad,
            columns: crate::VectorSize::Bi,
            width: 8,
        };
        assert_eq!(mat.to_wgsl(&types, &constants), "mat2x4<f64>");

        let ptr = crate::TypeInner::Pointer {
            base: mytype2,
            space: crate::AddressSpace::Storage {
                access: crate::StorageAccess::default(),
            },
        };
        assert_eq!(ptr.to_wgsl(&types, &constants), "ptr<MyType2>");

        let img1 = crate::TypeInner::Image {
            dim: crate::ImageDimension::D2,
            arrayed: false,
            class: crate::ImageClass::Sampled {
                kind: crate::ScalarKind::Float,
                multi: true,
            },
        };
        assert_eq!(
            img1.to_wgsl(&types, &constants),
            "texture_multisampled_2d<f32>"
        );

        let img2 = crate::TypeInner::Image {
            dim: crate::ImageDimension::Cube,
            arrayed: true,
            class: crate::ImageClass::Depth { multi: false },
        };
        assert_eq!(img2.to_wgsl(&types, &constants), "texture_depth_cube_array");

        let img3 = crate::TypeInner::Image {
            dim: crate::ImageDimension::D2,
            arrayed: false,
            class: crate::ImageClass::Depth { multi: true },
        };
        assert_eq!(
            img3.to_wgsl(&types, &constants),
            "texture_depth_multisampled_2d"
        );

        let array = crate::TypeInner::BindingArray {
            base: mytype1,
            size: crate::ArraySize::Constant(c),
        };
        assert_eq!(
            array.to_wgsl(&types, &constants),
            "binding_array<MyType1, C>"
        );
    }
}

impl crate::ScalarKind {
    /// Format a scalar kind+width as a type is written in wgsl.
    ///
    /// Examples: `f32`, `u64`, `bool`.
    fn to_wgsl(self, width: u8) -> String {
        let prefix = match self {
            crate::ScalarKind::Sint => "i",
            crate::ScalarKind::Uint => "u",
            crate::ScalarKind::Float => "f",
            crate::ScalarKind::Bool => return "bool".to_string(),
        };
        format!("{}{}", prefix, width * 8)
    }
}

trait StringValueLookup<'a> {
    type Value;
    fn lookup(&self, key: &'a str, span: Span) -> Result<Self::Value, Error<'a>>;
}
impl<'a> StringValueLookup<'a> for FastHashMap<&'a str, TypedExpression> {
    type Value = TypedExpression;
    fn lookup(&self, key: &'a str, span: Span) -> Result<Self::Value, Error<'a>> {
        self.get(key).cloned().ok_or(Error::UnknownIdent(span, key))
    }
}

struct StatementContext<'input, 'temp, 'out> {
    symbol_table: &'temp mut super::SymbolTable<&'input str, TypedExpression>,
    typifier: &'temp mut super::Typifier,
    variables: &'out mut Arena<crate::LocalVariable>,
    expressions: &'out mut Arena<crate::Expression>,
    named_expressions: &'out mut FastHashMap<Handle<crate::Expression>, String>,
    types: &'out mut UniqueArena<crate::Type>,
    constants: &'out mut Arena<crate::Constant>,
    global_vars: &'out Arena<crate::GlobalVariable>,
    functions: &'out Arena<crate::Function>,
    arguments: &'out [crate::FunctionArgument],
}

impl<'a, 'temp> StatementContext<'a, 'temp, '_> {
    fn reborrow(&mut self) -> StatementContext<'a, '_, '_> {
        StatementContext {
            symbol_table: self.symbol_table,
            typifier: self.typifier,
            variables: self.variables,
            expressions: self.expressions,
            named_expressions: self.named_expressions,
            types: self.types,
            constants: self.constants,
            global_vars: self.global_vars,
            functions: self.functions,
            arguments: self.arguments,
        }
    }

    fn as_expression<'t>(
        &'t mut self,
        block: &'t mut crate::Block,
        emitter: &'t mut super::Emitter,
    ) -> ExpressionContext<'a, 't, '_>
    where
        'temp: 't,
    {
        ExpressionContext {
            symbol_table: self.symbol_table,
            typifier: self.typifier,
            expressions: self.expressions,
            types: self.types,
            constants: self.constants,
            global_vars: self.global_vars,
            local_vars: self.variables,
            functions: self.functions,
            arguments: self.arguments,
            block,
            emitter,
        }
    }
}

struct SamplingContext {
    image: Handle<crate::Expression>,
    arrayed: bool,
}

struct ExpressionContext<'input, 'temp, 'out> {
    symbol_table: &'temp mut super::SymbolTable<&'input str, TypedExpression>,
    typifier: &'temp mut super::Typifier,
    expressions: &'out mut Arena<crate::Expression>,
    types: &'out mut UniqueArena<crate::Type>,
    constants: &'out mut Arena<crate::Constant>,
    global_vars: &'out Arena<crate::GlobalVariable>,
    local_vars: &'out Arena<crate::LocalVariable>,
    arguments: &'out [crate::FunctionArgument],
    functions: &'out Arena<crate::Function>,
    block: &'temp mut crate::Block,
    emitter: &'temp mut super::Emitter,
}

impl<'a> ExpressionContext<'a, '_, '_> {
    fn reborrow(&mut self) -> ExpressionContext<'a, '_, '_> {
        ExpressionContext {
            symbol_table: self.symbol_table,
            typifier: self.typifier,
            expressions: self.expressions,
            types: self.types,
            constants: self.constants,
            global_vars: self.global_vars,
            local_vars: self.local_vars,
            functions: self.functions,
            arguments: self.arguments,
            block: self.block,
            emitter: self.emitter,
        }
    }

    fn resolve_type(
        &mut self,
        handle: Handle<crate::Expression>,
    ) -> Result<&crate::TypeInner, Error<'a>> {
        let resolve_ctx = ResolveContext {
            constants: self.constants,
            types: self.types,
            global_vars: self.global_vars,
            local_vars: self.local_vars,
            functions: self.functions,
            arguments: self.arguments,
        };
        match self.typifier.grow(handle, self.expressions, &resolve_ctx) {
            Err(e) => Err(Error::InvalidResolve(e)),
            Ok(()) => Ok(self.typifier.get(handle, self.types)),
        }
    }

    fn prepare_sampling(
        &mut self,
        image: Handle<crate::Expression>,
        span: Span,
    ) -> Result<SamplingContext, Error<'a>> {
        Ok(SamplingContext {
            image,
            arrayed: match *self.resolve_type(image)? {
                crate::TypeInner::Image { arrayed, .. } => arrayed,
                _ => return Err(Error::BadTexture(span)),
            },
        })
    }

    fn parse_binary_op(
        &mut self,
        lexer: &mut Lexer<'a>,
        classifier: impl Fn(Token<'a>) -> Option<crate::BinaryOperator>,
        mut parser: impl FnMut(
            &mut Lexer<'a>,
            ExpressionContext<'a, '_, '_>,
        ) -> Result<TypedExpression, Error<'a>>,
    ) -> Result<TypedExpression, Error<'a>> {
        let start = lexer.start_byte_offset() as u32;
        let mut accumulator = parser(lexer, self.reborrow())?;
        while let Some(op) = classifier(lexer.peek().0) {
            let _ = lexer.next();
            // Binary expressions always apply the load rule to their operands.
            let mut left = self.apply_load_rule(accumulator);
            let unloaded_right = parser(lexer, self.reborrow())?;
            let right = self.apply_load_rule(unloaded_right);
            let end = lexer.end_byte_offset() as u32;
            left = self.expressions.append(
                crate::Expression::Binary { op, left, right },
                NagaSpan::new(start, end),
            );
            // Binary expressions never produce references.
            accumulator = TypedExpression::non_reference(left);
        }
        Ok(accumulator)
    }

    fn parse_binary_splat_op(
        &mut self,
        lexer: &mut Lexer<'a>,
        classifier: impl Fn(Token<'a>) -> Option<crate::BinaryOperator>,
        mut parser: impl FnMut(
            &mut Lexer<'a>,
            ExpressionContext<'a, '_, '_>,
        ) -> Result<TypedExpression, Error<'a>>,
    ) -> Result<TypedExpression, Error<'a>> {
        let start = lexer.start_byte_offset() as u32;
        let mut accumulator = parser(lexer, self.reborrow())?;
        while let Some(op) = classifier(lexer.peek().0) {
            let _ = lexer.next();
            // Binary expressions always apply the load rule to their operands.
            let mut left = self.apply_load_rule(accumulator);
            let unloaded_right = parser(lexer, self.reborrow())?;
            let mut right = self.apply_load_rule(unloaded_right);
            let end = lexer.end_byte_offset() as u32;

            self.binary_op_splat(op, &mut left, &mut right)?;

            accumulator = TypedExpression::non_reference(self.expressions.append(
                crate::Expression::Binary { op, left, right },
                NagaSpan::new(start, end),
            ));
        }
        Ok(accumulator)
    }

    /// Insert splats, if needed by the non-'*' operations.
    fn binary_op_splat(
        &mut self,
        op: crate::BinaryOperator,
        left: &mut Handle<crate::Expression>,
        right: &mut Handle<crate::Expression>,
    ) -> Result<(), Error<'a>> {
        if op != crate::BinaryOperator::Multiply {
            let left_size = match *self.resolve_type(*left)? {
                crate::TypeInner::Vector { size, .. } => Some(size),
                _ => None,
            };
            match (left_size, self.resolve_type(*right)?) {
                (Some(size), &crate::TypeInner::Scalar { .. }) => {
                    *right = self.expressions.append(
                        crate::Expression::Splat {
                            size,
                            value: *right,
                        },
                        self.expressions.get_span(*right),
                    );
                }
                (None, &crate::TypeInner::Vector { size, .. }) => {
                    *left = self.expressions.append(
                        crate::Expression::Splat { size, value: *left },
                        self.expressions.get_span(*left),
                    );
                }
                _ => {}
            }
        }

        Ok(())
    }

    /// Add a single expression to the expression table that is not covered by `self.emitter`.
    ///
    /// This is useful for `CallResult` and `AtomicResult` expressions, which should not be covered by
    /// `Emit` statements.
    fn interrupt_emitter(
        &mut self,
        expression: crate::Expression,
        span: NagaSpan,
    ) -> Handle<crate::Expression> {
        self.block.extend(self.emitter.finish(self.expressions));
        let result = self.expressions.append(expression, span);
        self.emitter.start(self.expressions);
        result
    }

    /// Apply the WGSL Load Rule to `expr`.
    ///
    /// If `expr` is has type `ref<SC, T, A>`, perform a load to produce a value of type
    /// `T`. Otherwise, return `expr` unchanged.
    fn apply_load_rule(&mut self, expr: TypedExpression) -> Handle<crate::Expression> {
        if expr.is_reference {
            let load = crate::Expression::Load {
                pointer: expr.handle,
            };
            let span = self.expressions.get_span(expr.handle);
            self.expressions.append(load, span)
        } else {
            expr.handle
        }
    }

    /// Creates a zero value constant of type `ty`
    ///
    /// Returns `None` if the given `ty` is not a constructible type
    fn create_zero_value_constant(
        &mut self,
        ty: Handle<crate::Type>,
    ) -> Option<Handle<crate::Constant>> {
        let inner = match self.types[ty].inner {
            crate::TypeInner::Scalar { kind, width } => {
                let value = match kind {
                    crate::ScalarKind::Sint => crate::ScalarValue::Sint(0),
                    crate::ScalarKind::Uint => crate::ScalarValue::Uint(0),
                    crate::ScalarKind::Float => crate::ScalarValue::Float(0.),
                    crate::ScalarKind::Bool => crate::ScalarValue::Bool(false),
                };
                crate::ConstantInner::Scalar { width, value }
            }
            crate::TypeInner::Vector { size, kind, width } => {
                let scalar_ty = self.types.insert(
                    crate::Type {
                        name: None,
                        inner: crate::TypeInner::Scalar { width, kind },
                    },
                    Default::default(),
                );
                let component = self.create_zero_value_constant(scalar_ty);
                crate::ConstantInner::Composite {
                    ty,
                    components: (0..size as u8).map(|_| component).collect::<Option<_>>()?,
                }
            }
            crate::TypeInner::Matrix {
                columns,
                rows,
                width,
            } => {
                let vec_ty = self.types.insert(
                    crate::Type {
                        name: None,
                        inner: crate::TypeInner::Vector {
                            width,
                            kind: crate::ScalarKind::Float,
                            size: rows,
                        },
                    },
                    Default::default(),
                );
                let component = self.create_zero_value_constant(vec_ty);
                crate::ConstantInner::Composite {
                    ty,
                    components: (0..columns as u8)
                        .map(|_| component)
                        .collect::<Option<_>>()?,
                }
            }
            crate::TypeInner::Array {
                base,
                size: crate::ArraySize::Constant(size),
                ..
            } => {
                let component = self.create_zero_value_constant(base);
                crate::ConstantInner::Composite {
                    ty,
                    components: (0..self.constants[size].to_array_length().unwrap())
                        .map(|_| component)
                        .collect::<Option<_>>()?,
                }
            }
            crate::TypeInner::Struct { ref members, .. } => {
                let members = members.clone();
                crate::ConstantInner::Composite {
                    ty,
                    components: members
                        .iter()
                        .map(|member| self.create_zero_value_constant(member.ty))
                        .collect::<Option<_>>()?,
                }
            }
            _ => return None,
        };

        let constant = self.constants.fetch_or_append(
            crate::Constant {
                name: None,
                specialization: None,
                inner,
            },
            crate::Span::default(),
        );
        Some(constant)
    }
}

/// A Naga [`Expression`] handle, with WGSL type information.
///
/// Naga and WGSL types are very close, but Naga lacks WGSL's 'reference' types,
/// which we need to know to apply the Load Rule. This struct carries a Naga
/// `Handle<Expression>` along with enough information to determine its WGSL type.
///
/// [`Expression`]: crate::Expression
#[derive(Debug, Copy, Clone)]
struct TypedExpression {
    /// The handle of the Naga expression.
    handle: Handle<crate::Expression>,

    /// True if this expression's WGSL type is a reference.
    ///
    /// When this is true, `handle` must be a pointer.
    is_reference: bool,
}

impl TypedExpression {
    const fn non_reference(handle: Handle<crate::Expression>) -> TypedExpression {
        TypedExpression {
            handle,
            is_reference: false,
        }
    }
}

enum Composition {
    Single(u32),
    Multi(crate::VectorSize, [crate::SwizzleComponent; 4]),
}

impl Composition {
    const fn letter_component(letter: char) -> Option<crate::SwizzleComponent> {
        use crate::SwizzleComponent as Sc;
        match letter {
            'x' | 'r' => Some(Sc::X),
            'y' | 'g' => Some(Sc::Y),
            'z' | 'b' => Some(Sc::Z),
            'w' | 'a' => Some(Sc::W),
            _ => None,
        }
    }

    fn extract_impl(name: &str, name_span: Span) -> Result<u32, Error> {
        let ch = name
            .chars()
            .next()
            .ok_or_else(|| Error::BadAccessor(name_span.clone()))?;
        match Self::letter_component(ch) {
            Some(sc) => Ok(sc as u32),
            None => Err(Error::BadAccessor(name_span)),
        }
    }

    fn make(name: &str, name_span: Span) -> Result<Self, Error> {
        if name.len() > 1 {
            let mut components = [crate::SwizzleComponent::X; 4];
            for (comp, ch) in components.iter_mut().zip(name.chars()) {
                *comp = Self::letter_component(ch)
                    .ok_or_else(|| Error::BadAccessor(name_span.clone()))?;
            }

            let size = match name.len() {
                2 => crate::VectorSize::Bi,
                3 => crate::VectorSize::Tri,
                4 => crate::VectorSize::Quad,
                _ => return Err(Error::BadAccessor(name_span)),
            };
            Ok(Composition::Multi(size, components))
        } else {
            Self::extract_impl(name, name_span).map(Composition::Single)
        }
    }
}

#[derive(Default)]
struct TypeAttributes {
    // Although WGSL nas no type attributes at the moment, it had them in the past
    // (`[[stride]]`) and may as well acquire some again in the future.
    // Therefore, we are leaving the plumbing in for now.
}

/// Which grammar rule we are in the midst of parsing.
///
/// This is used for error checking. `Parser` maintains a stack of
/// these and (occasionally) checks that it is being pushed and popped
/// as expected.
#[derive(Clone, Debug, PartialEq)]
enum Rule {
    Attribute,
    VariableDecl,
    TypeDecl,
    FunctionDecl,
    Block,
    Statement,
    ConstantExpr,
    PrimaryExpr,
    SingularExpr,
    UnaryExpr,
    GeneralExpr,
}

type LocalFunctionCall = (Handle<crate::Function>, Vec<Handle<crate::Expression>>);

#[derive(Default)]
struct BindingParser {
    location: Option<u32>,
    built_in: Option<crate::BuiltIn>,
    interpolation: Option<crate::Interpolation>,
    sampling: Option<crate::Sampling>,
    invariant: bool,
}

impl BindingParser {
    fn parse<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        name: &'a str,
        name_span: Span,
    ) -> Result<(), Error<'a>> {
        match name {
            "location" => {
                lexer.expect(Token::Paren('('))?;
                self.location = Some(Parser::parse_non_negative_i32_literal(lexer)?);
                lexer.expect(Token::Paren(')'))?;
            }
            "builtin" => {
                lexer.expect(Token::Paren('('))?;
                let (raw, span) = lexer.next_ident_with_span()?;
                self.built_in = Some(conv::map_built_in(raw, span)?);
                lexer.expect(Token::Paren(')'))?;
            }
            "interpolate" => {
                lexer.expect(Token::Paren('('))?;
                let (raw, span) = lexer.next_ident_with_span()?;
                self.interpolation = Some(conv::map_interpolation(raw, span)?);
                if lexer.skip(Token::Separator(',')) {
                    let (raw, span) = lexer.next_ident_with_span()?;
                    self.sampling = Some(conv::map_sampling(raw, span)?);
                }
                lexer.expect(Token::Paren(')'))?;
            }
            "invariant" => self.invariant = true,
            _ => return Err(Error::UnknownAttribute(name_span)),
        }
        Ok(())
    }

    const fn finish<'a>(self, span: Span) -> Result<Option<crate::Binding>, Error<'a>> {
        match (
            self.location,
            self.built_in,
            self.interpolation,
            self.sampling,
            self.invariant,
        ) {
            (None, None, None, None, false) => Ok(None),
            (Some(location), None, interpolation, sampling, false) => {
                // Before handing over the completed `Module`, we call
                // `apply_default_interpolation` to ensure that the interpolation and
                // sampling have been explicitly specified on all vertex shader output and fragment
                // shader input user bindings, so leaving them potentially `None` here is fine.
                Ok(Some(crate::Binding::Location {
                    location,
                    interpolation,
                    sampling,
                }))
            }
            (None, Some(crate::BuiltIn::Position { .. }), None, None, invariant) => {
                Ok(Some(crate::Binding::BuiltIn(crate::BuiltIn::Position {
                    invariant,
                })))
            }
            (None, Some(built_in), None, None, false) => {
                Ok(Some(crate::Binding::BuiltIn(built_in)))
            }
            (_, _, _, _, _) => Err(Error::InconsistentBinding(span)),
        }
    }
}

struct ParsedVariable<'a> {
    name: &'a str,
    name_span: Span,
    space: Option<crate::AddressSpace>,
    ty: Handle<crate::Type>,
    init: Option<Handle<crate::Constant>>,
}

struct CalledFunction {
    result: Option<Handle<crate::Expression>>,
}

#[derive(Clone, Debug)]
pub struct ParseError {
    message: String,
    labels: Vec<(Span, Cow<'static, str>)>,
    notes: Vec<String>,
}

impl ParseError {
    pub fn labels(&self) -> impl Iterator<Item = (Span, &str)> + ExactSizeIterator + '_ {
        self.labels
            .iter()
            .map(|&(ref span, ref msg)| (span.clone(), msg.as_ref()))
    }

    pub fn message(&self) -> &str {
        &self.message
    }

    fn diagnostic(&self) -> Diagnostic<()> {
        let diagnostic = Diagnostic::error()
            .with_message(self.message.to_string())
            .with_labels(
                self.labels
                    .iter()
                    .map(|label| {
                        Label::primary((), label.0.clone()).with_message(label.1.to_string())
                    })
                    .collect(),
            )
            .with_notes(
                self.notes
                    .iter()
                    .map(|note| format!("note: {}", note))
                    .collect(),
            );
        diagnostic
    }

    /// Emits a summary of the error to standard error stream.
    pub fn emit_to_stderr(&self, source: &str) {
        self.emit_to_stderr_with_path(source, "wgsl")
    }

    /// Emits a summary of the error to standard error stream.
    pub fn emit_to_stderr_with_path(&self, source: &str, path: &str) {
        let files = SimpleFile::new(path, source);
        let config = codespan_reporting::term::Config::default();
        let writer = StandardStream::stderr(ColorChoice::Auto);
        term::emit(&mut writer.lock(), &config, &files, &self.diagnostic())
            .expect("cannot write error");
    }

    /// Emits a summary of the error to a string.
    pub fn emit_to_string(&self, source: &str) -> String {
        self.emit_to_string_with_path(source, "wgsl")
    }

    /// Emits a summary of the error to a string.
    pub fn emit_to_string_with_path(&self, source: &str, path: &str) -> String {
        let files = SimpleFile::new(path, source);
        let config = codespan_reporting::term::Config::default();
        let mut writer = NoColor::new(Vec::new());
        term::emit(&mut writer, &config, &files, &self.diagnostic()).expect("cannot write error");
        String::from_utf8(writer.into_inner()).unwrap()
    }

    /// Returns a [`SourceLocation`] for the first label in the error message.
    pub fn location(&self, source: &str) -> Option<SourceLocation> {
        self.labels
            .get(0)
            .map(|label| NagaSpan::new(label.0.start as u32, label.0.end as u32).location(source))
    }
}

impl std::fmt::Display for ParseError {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        write!(f, "{}", self.message)
    }
}

impl std::error::Error for ParseError {
    fn source(&self) -> Option<&(dyn std::error::Error + 'static)> {
        None
    }
}

pub struct Parser {
    rules: Vec<(Rule, usize)>,
    module_scope_identifiers: FastHashMap<String, Span>,
    lookup_type: FastHashMap<String, Handle<crate::Type>>,
    layouter: Layouter,
}

impl Parser {
    pub fn new() -> Self {
        Parser {
            rules: Vec::new(),
            module_scope_identifiers: FastHashMap::default(),
            lookup_type: FastHashMap::default(),
            layouter: Default::default(),
        }
    }

    fn reset(&mut self) {
        self.rules.clear();
        self.module_scope_identifiers.clear();
        self.lookup_type.clear();
        self.layouter.clear();
    }

    fn push_rule_span(&mut self, rule: Rule, lexer: &mut Lexer<'_>) {
        self.rules.push((rule, lexer.start_byte_offset()));
    }

    fn pop_rule_span(&mut self, lexer: &Lexer<'_>) -> Span {
        let (_, initial) = self.rules.pop().unwrap();
        lexer.span_from(initial)
    }

    fn peek_rule_span(&mut self, lexer: &Lexer<'_>) -> Span {
        let &(_, initial) = self.rules.last().unwrap();
        lexer.span_from(initial)
    }

    fn parse_switch_value<'a>(lexer: &mut Lexer<'a>, uint: bool) -> Result<i32, Error<'a>> {
        let token_span = lexer.next();
        match token_span.0 {
            Token::Number(Ok(Number::U32(num))) if uint => Ok(num as i32),
            Token::Number(Ok(Number::I32(num))) if !uint => Ok(num),
            Token::Number(Err(e)) => Err(Error::BadNumber(token_span.1, e)),
            _ => Err(Error::Unexpected(token_span.1, ExpectedToken::Integer)),
        }
    }

    /// Parse a non-negative signed integer literal.
    /// This is for attributes like `size`, `location` and others.
    fn parse_non_negative_i32_literal<'a>(lexer: &mut Lexer<'a>) -> Result<u32, Error<'a>> {
        match lexer.next() {
            (Token::Number(Ok(Number::I32(num))), span) => {
                u32::try_from(num).map_err(|_| Error::NegativeInt(span))
            }
            (Token::Number(Err(e)), span) => Err(Error::BadNumber(span, e)),
            other => Err(Error::Unexpected(
                other.1,
                ExpectedToken::Number(NumberType::I32),
            )),
        }
    }

    /// Parse a non-negative integer literal that may be either signed or unsigned.
    /// This is for the `workgroup_size` attribute and array lengths.
    /// Note: these values should be no larger than [`i32::MAX`], but this is not checked here.
    fn parse_generic_non_negative_int_literal<'a>(lexer: &mut Lexer<'a>) -> Result<u32, Error<'a>> {
        match lexer.next() {
            (Token::Number(Ok(Number::I32(num))), span) => {
                u32::try_from(num).map_err(|_| Error::NegativeInt(span))
            }
            (Token::Number(Ok(Number::U32(num))), _) => Ok(num),
            (Token::Number(Err(e)), span) => Err(Error::BadNumber(span, e)),
            other => Err(Error::Unexpected(
                other.1,
                ExpectedToken::Number(NumberType::I32),
            )),
        }
    }

    fn parse_atomic_pointer<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut ctx: ExpressionContext<'a, '_, '_>,
    ) -> Result<Handle<crate::Expression>, Error<'a>> {
        let (pointer, pointer_span) =
            lexer.capture_span(|lexer| self.parse_general_expression(lexer, ctx.reborrow()))?;
        // Check if the pointer expression is to an atomic.
        // The IR uses regular `Expression::Load` and `Statement::Store` for atomic load/stores,
        // and it will not catch the use of a non-atomic variable here.
        match *ctx.resolve_type(pointer)? {
            crate::TypeInner::Pointer { base, .. } => match ctx.types[base].inner {
                crate::TypeInner::Atomic { .. } => Ok(pointer),
                ref other => {
                    log::error!("Pointer type to {:?} passed to atomic op", other);
                    Err(Error::InvalidAtomicPointer(pointer_span))
                }
            },
            ref other => {
                log::error!("Type {:?} passed to atomic op", other);
                Err(Error::InvalidAtomicPointer(pointer_span))
            }
        }
    }

    /// Expects name to be peeked from lexer, does not consume if returns None.
    fn parse_local_function_call<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        name: &'a str,
        mut ctx: ExpressionContext<'a, '_, '_>,
    ) -> Result<Option<LocalFunctionCall>, Error<'a>> {
        let fun_handle = match ctx.functions.iter().find(|&(_, fun)| match fun.name {
            Some(ref string) => string == name,
            None => false,
        }) {
            Some((fun_handle, _)) => fun_handle,
            None => return Ok(None),
        };

        let count = ctx.functions[fun_handle].arguments.len();
        let mut arguments = Vec::with_capacity(count);
        let _ = lexer.next();
        lexer.open_arguments()?;
        while arguments.len() != count {
            if !arguments.is_empty() {
                lexer.expect(Token::Separator(','))?;
            }
            let arg = self.parse_general_expression(lexer, ctx.reborrow())?;
            arguments.push(arg);
        }
        lexer.close_arguments()?;
        Ok(Some((fun_handle, arguments)))
    }

    fn parse_atomic_helper<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        fun: crate::AtomicFunction,
        mut ctx: ExpressionContext<'a, '_, '_>,
    ) -> Result<Handle<crate::Expression>, Error<'a>> {
        lexer.open_arguments()?;
        let pointer = self.parse_general_expression(lexer, ctx.reborrow())?;
        lexer.expect(Token::Separator(','))?;
        let ctx_span = ctx.reborrow();
        let (value, value_span) =
            lexer.capture_span(|lexer| self.parse_general_expression(lexer, ctx_span))?;
        lexer.close_arguments()?;

        let expression = match *ctx.resolve_type(value)? {
            crate::TypeInner::Scalar { kind, width } => crate::Expression::AtomicResult {
                kind,
                width,
                comparison: false,
            },
            _ => return Err(Error::InvalidAtomicOperandType(value_span)),
        };

        let span = NagaSpan::from(value_span);
        let result = ctx.interrupt_emitter(expression, span);
        ctx.block.push(
            crate::Statement::Atomic {
                pointer,
                fun,
                value,
                result,
            },
            span,
        );
        Ok(result)
    }

    /// Expects [`Rule::PrimaryExpr`] or [`Rule::SingularExpr`] on top; does not pop it.
    /// Expects `word` to be peeked (still in lexer), doesn't consume if returning None.
    fn parse_function_call_inner<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        name: &'a str,
        mut ctx: ExpressionContext<'a, '_, '_>,
    ) -> Result<Option<CalledFunction>, Error<'a>> {
        assert!(self.rules.last().is_some());
        let expr = if let Some(fun) = conv::map_relational_fun(name) {
            let _ = lexer.next();
            lexer.open_arguments()?;
            let argument = self.parse_general_expression(lexer, ctx.reborrow())?;
            lexer.close_arguments()?;
            crate::Expression::Relational { fun, argument }
        } else if let Some(axis) = conv::map_derivative_axis(name) {
            let _ = lexer.next();
            lexer.open_arguments()?;
            let expr = self.parse_general_expression(lexer, ctx.reborrow())?;
            lexer.close_arguments()?;
            crate::Expression::Derivative { axis, expr }
        } else if let Some(fun) = conv::map_standard_fun(name) {
            let _ = lexer.next();
            lexer.open_arguments()?;
            let arg_count = fun.argument_count();
            let arg = self.parse_general_expression(lexer, ctx.reborrow())?;
            let arg1 = if arg_count > 1 {
                lexer.expect(Token::Separator(','))?;
                Some(self.parse_general_expression(lexer, ctx.reborrow())?)
            } else {
                None
            };
            let arg2 = if arg_count > 2 {
                lexer.expect(Token::Separator(','))?;
                Some(self.parse_general_expression(lexer, ctx.reborrow())?)
            } else {
                None
            };
            let arg3 = if arg_count > 3 {
                lexer.expect(Token::Separator(','))?;
                Some(self.parse_general_expression(lexer, ctx.reborrow())?)
            } else {
                None
            };
            lexer.close_arguments()?;
            crate::Expression::Math {
                fun,
                arg,
                arg1,
                arg2,
                arg3,
            }
        } else {
            match name {
                "bitcast" => {
                    let _ = lexer.next();
                    lexer.expect_generic_paren('<')?;
                    let (ty, type_span) = lexer.capture_span(|lexer| {
                        self.parse_type_decl(lexer, None, ctx.types, ctx.constants)
                    })?;
                    lexer.expect_generic_paren('>')?;

                    lexer.open_arguments()?;
                    let expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.close_arguments()?;

                    let kind = match ctx.types[ty].inner {
                        crate::TypeInner::Scalar { kind, .. } => kind,
                        crate::TypeInner::Vector { kind, .. } => kind,
                        _ => {
                            return Err(Error::BadTypeCast {
                                from_type: format!("{:?}", ctx.resolve_type(expr)?),
                                span: type_span,
                                to_type: format!("{:?}", ctx.types[ty].inner),
                            })
                        }
                    };

                    crate::Expression::As {
                        expr,
                        kind,
                        convert: None,
                    }
                }
                "select" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let reject = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let accept = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let condition = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.close_arguments()?;
                    crate::Expression::Select {
                        condition,
                        accept,
                        reject,
                    }
                }
                "arrayLength" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let array = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.close_arguments()?;
                    crate::Expression::ArrayLength(array)
                }
                // atomics
                "atomicLoad" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let pointer = self.parse_atomic_pointer(lexer, ctx.reborrow())?;
                    lexer.close_arguments()?;
                    crate::Expression::Load { pointer }
                }
                "atomicAdd" => {
                    let _ = lexer.next();
                    let handle = self.parse_atomic_helper(
                        lexer,
                        crate::AtomicFunction::Add,
                        ctx.reborrow(),
                    )?;
                    return Ok(Some(CalledFunction {
                        result: Some(handle),
                    }));
                }
                "atomicSub" => {
                    let _ = lexer.next();
                    let handle = self.parse_atomic_helper(
                        lexer,
                        crate::AtomicFunction::Subtract,
                        ctx.reborrow(),
                    )?;
                    return Ok(Some(CalledFunction {
                        result: Some(handle),
                    }));
                }
                "atomicAnd" => {
                    let _ = lexer.next();
                    let handle = self.parse_atomic_helper(
                        lexer,
                        crate::AtomicFunction::And,
                        ctx.reborrow(),
                    )?;
                    return Ok(Some(CalledFunction {
                        result: Some(handle),
                    }));
                }
                "atomicOr" => {
                    let _ = lexer.next();
                    let handle = self.parse_atomic_helper(
                        lexer,
                        crate::AtomicFunction::InclusiveOr,
                        ctx.reborrow(),
                    )?;
                    return Ok(Some(CalledFunction {
                        result: Some(handle),
                    }));
                }
                "atomicXor" => {
                    let _ = lexer.next();
                    let handle = self.parse_atomic_helper(
                        lexer,
                        crate::AtomicFunction::ExclusiveOr,
                        ctx.reborrow(),
                    )?;
                    return Ok(Some(CalledFunction {
                        result: Some(handle),
                    }));
                }
                "atomicMin" => {
                    let _ = lexer.next();
                    let handle =
                        self.parse_atomic_helper(lexer, crate::AtomicFunction::Min, ctx)?;
                    return Ok(Some(CalledFunction {
                        result: Some(handle),
                    }));
                }
                "atomicMax" => {
                    let _ = lexer.next();
                    let handle =
                        self.parse_atomic_helper(lexer, crate::AtomicFunction::Max, ctx)?;
                    return Ok(Some(CalledFunction {
                        result: Some(handle),
                    }));
                }
                "atomicExchange" => {
                    let _ = lexer.next();
                    let handle = self.parse_atomic_helper(
                        lexer,
                        crate::AtomicFunction::Exchange { compare: None },
                        ctx,
                    )?;
                    return Ok(Some(CalledFunction {
                        result: Some(handle),
                    }));
                }
                "atomicCompareExchangeWeak" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let pointer = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let cmp = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let (value, value_span) = lexer.capture_span(|lexer| {
                        self.parse_general_expression(lexer, ctx.reborrow())
                    })?;
                    lexer.close_arguments()?;

                    let expression = match *ctx.resolve_type(value)? {
                        crate::TypeInner::Scalar { kind, width } => {
                            crate::Expression::AtomicResult {
                                kind,
                                width,
                                comparison: true,
                            }
                        }
                        _ => return Err(Error::InvalidAtomicOperandType(value_span)),
                    };

                    let span = NagaSpan::from(self.peek_rule_span(lexer));
                    let result = ctx.interrupt_emitter(expression, span);
                    ctx.block.push(
                        crate::Statement::Atomic {
                            pointer,
                            fun: crate::AtomicFunction::Exchange { compare: Some(cmp) },
                            value,
                            result,
                        },
                        span,
                    );
                    return Ok(Some(CalledFunction {
                        result: Some(result),
                    }));
                }
                // texture sampling
                "textureSample" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let (image, image_span) =
                        self.parse_general_expression_with_span(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let sampler_expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let coordinate = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let sc = ctx.prepare_sampling(image, image_span)?;
                    let array_index = if sc.arrayed {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    let offset = if lexer.skip(Token::Separator(',')) {
                        Some(self.parse_const_expression(lexer, ctx.types, ctx.constants)?)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageSample {
                        image: sc.image,
                        sampler: sampler_expr,
                        gather: None,
                        coordinate,
                        array_index,
                        offset,
                        level: crate::SampleLevel::Auto,
                        depth_ref: None,
                    }
                }
                "textureSampleLevel" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let (image, image_span) =
                        self.parse_general_expression_with_span(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let sampler_expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let coordinate = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let sc = ctx.prepare_sampling(image, image_span)?;
                    let array_index = if sc.arrayed {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    lexer.expect(Token::Separator(','))?;
                    let level = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let offset = if lexer.skip(Token::Separator(',')) {
                        Some(self.parse_const_expression(lexer, ctx.types, ctx.constants)?)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageSample {
                        image: sc.image,
                        sampler: sampler_expr,
                        gather: None,
                        coordinate,
                        array_index,
                        offset,
                        level: crate::SampleLevel::Exact(level),
                        depth_ref: None,
                    }
                }
                "textureSampleBias" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let (image, image_span) =
                        self.parse_general_expression_with_span(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let sampler_expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let coordinate = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let sc = ctx.prepare_sampling(image, image_span)?;
                    let array_index = if sc.arrayed {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    lexer.expect(Token::Separator(','))?;
                    let bias = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let offset = if lexer.skip(Token::Separator(',')) {
                        Some(self.parse_const_expression(lexer, ctx.types, ctx.constants)?)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageSample {
                        image: sc.image,
                        sampler: sampler_expr,
                        gather: None,
                        coordinate,
                        array_index,
                        offset,
                        level: crate::SampleLevel::Bias(bias),
                        depth_ref: None,
                    }
                }
                "textureSampleGrad" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let (image, image_span) =
                        self.parse_general_expression_with_span(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let sampler_expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let coordinate = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let sc = ctx.prepare_sampling(image, image_span)?;
                    let array_index = if sc.arrayed {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    lexer.expect(Token::Separator(','))?;
                    let x = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let y = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let offset = if lexer.skip(Token::Separator(',')) {
                        Some(self.parse_const_expression(lexer, ctx.types, ctx.constants)?)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageSample {
                        image: sc.image,
                        sampler: sampler_expr,
                        gather: None,
                        coordinate,
                        array_index,
                        offset,
                        level: crate::SampleLevel::Gradient { x, y },
                        depth_ref: None,
                    }
                }
                "textureSampleCompare" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let (image, image_span) =
                        self.parse_general_expression_with_span(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let sampler_expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let coordinate = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let sc = ctx.prepare_sampling(image, image_span)?;
                    let array_index = if sc.arrayed {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    lexer.expect(Token::Separator(','))?;
                    let reference = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let offset = if lexer.skip(Token::Separator(',')) {
                        Some(self.parse_const_expression(lexer, ctx.types, ctx.constants)?)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageSample {
                        image: sc.image,
                        sampler: sampler_expr,
                        gather: None,
                        coordinate,
                        array_index,
                        offset,
                        level: crate::SampleLevel::Auto,
                        depth_ref: Some(reference),
                    }
                }
                "textureSampleCompareLevel" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let (image, image_span) =
                        self.parse_general_expression_with_span(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let sampler_expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let coordinate = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let sc = ctx.prepare_sampling(image, image_span)?;
                    let array_index = if sc.arrayed {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    lexer.expect(Token::Separator(','))?;
                    let reference = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let offset = if lexer.skip(Token::Separator(',')) {
                        Some(self.parse_const_expression(lexer, ctx.types, ctx.constants)?)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageSample {
                        image: sc.image,
                        sampler: sampler_expr,
                        gather: None,
                        coordinate,
                        array_index,
                        offset,
                        level: crate::SampleLevel::Zero,
                        depth_ref: Some(reference),
                    }
                }
                "textureGather" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let component = if let (Token::Number(..), span) = lexer.peek() {
                        let index = Self::parse_non_negative_i32_literal(lexer)?;
                        lexer.expect(Token::Separator(','))?;
                        *crate::SwizzleComponent::XYZW
                            .get(index as usize)
                            .ok_or(Error::InvalidGatherComponent(span, index))?
                    } else {
                        crate::SwizzleComponent::X
                    };
                    let (image, image_span) =
                        self.parse_general_expression_with_span(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let sampler_expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let coordinate = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let sc = ctx.prepare_sampling(image, image_span)?;
                    let array_index = if sc.arrayed {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    let offset = if lexer.skip(Token::Separator(',')) {
                        Some(self.parse_const_expression(lexer, ctx.types, ctx.constants)?)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageSample {
                        image: sc.image,
                        sampler: sampler_expr,
                        gather: Some(component),
                        coordinate,
                        array_index,
                        offset,
                        level: crate::SampleLevel::Zero,
                        depth_ref: None,
                    }
                }
                "textureGatherCompare" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let (image, image_span) =
                        self.parse_general_expression_with_span(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let sampler_expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let coordinate = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let sc = ctx.prepare_sampling(image, image_span)?;
                    let array_index = if sc.arrayed {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    lexer.expect(Token::Separator(','))?;
                    let reference = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let offset = if lexer.skip(Token::Separator(',')) {
                        Some(self.parse_const_expression(lexer, ctx.types, ctx.constants)?)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageSample {
                        image: sc.image,
                        sampler: sampler_expr,
                        gather: Some(crate::SwizzleComponent::X),
                        coordinate,
                        array_index,
                        offset,
                        level: crate::SampleLevel::Zero,
                        depth_ref: Some(reference),
                    }
                }
                "textureLoad" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let (image, image_span) =
                        self.parse_general_expression_with_span(lexer, ctx.reborrow())?;
                    lexer.expect(Token::Separator(','))?;
                    let coordinate = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let (class, arrayed) = match *ctx.resolve_type(image)? {
                        crate::TypeInner::Image { class, arrayed, .. } => (class, arrayed),
                        _ => return Err(Error::BadTexture(image_span)),
                    };
                    let array_index = if arrayed {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    let level = if class.is_mipmapped() {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    let sample = if class.is_multisampled() {
                        lexer.expect(Token::Separator(','))?;
                        Some(self.parse_general_expression(lexer, ctx.reborrow())?)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageLoad {
                        image,
                        coordinate,
                        array_index,
                        sample,
                        level,
                    }
                }
                "textureDimensions" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let image = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let level = if lexer.skip(Token::Separator(',')) {
                        let expr = self.parse_general_expression(lexer, ctx.reborrow())?;
                        Some(expr)
                    } else {
                        None
                    };
                    lexer.close_arguments()?;
                    crate::Expression::ImageQuery {
                        image,
                        query: crate::ImageQuery::Size { level },
                    }
                }
                "textureNumLevels" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let image = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.close_arguments()?;
                    crate::Expression::ImageQuery {
                        image,
                        query: crate::ImageQuery::NumLevels,
                    }
                }
                "textureNumLayers" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let image = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.close_arguments()?;
                    crate::Expression::ImageQuery {
                        image,
                        query: crate::ImageQuery::NumLayers,
                    }
                }
                "textureNumSamples" => {
                    let _ = lexer.next();
                    lexer.open_arguments()?;
                    let image = self.parse_general_expression(lexer, ctx.reborrow())?;
                    lexer.close_arguments()?;
                    crate::Expression::ImageQuery {
                        image,
                        query: crate::ImageQuery::NumSamples,
                    }
                }
                // other
                _ => {
                    let result =
                        match self.parse_local_function_call(lexer, name, ctx.reborrow())? {
                            Some((function, arguments)) => {
                                let span = NagaSpan::from(self.peek_rule_span(lexer));
                                ctx.block.extend(ctx.emitter.finish(ctx.expressions));
                                let result = ctx.functions[function].result.as_ref().map(|_| {
                                    ctx.expressions
                                        .append(crate::Expression::CallResult(function), span)
                                });
                                ctx.emitter.start(ctx.expressions);
                                ctx.block.push(
                                    crate::Statement::Call {
                                        function,
                                        arguments,
                                        result,
                                    },
                                    span,
                                );
                                result
                            }
                            None => return Ok(None),
                        };
                    return Ok(Some(CalledFunction { result }));
                }
            }
        };
        let span = NagaSpan::from(self.peek_rule_span(lexer));
        let handle = ctx.expressions.append(expr, span);
        Ok(Some(CalledFunction {
            result: Some(handle),
        }))
    }

    fn parse_const_expression_impl<'a>(
        &mut self,
        first_token_span: TokenSpan<'a>,
        lexer: &mut Lexer<'a>,
        register_name: Option<&'a str>,
        type_arena: &mut UniqueArena<crate::Type>,
        const_arena: &mut Arena<crate::Constant>,
    ) -> Result<Handle<crate::Constant>, Error<'a>> {
        self.push_rule_span(Rule::ConstantExpr, lexer);
        let inner = match first_token_span {
            (Token::Word("true"), _) => crate::ConstantInner::boolean(true),
            (Token::Word("false"), _) => crate::ConstantInner::boolean(false),
            (Token::Number(num), _) => match num {
                Ok(Number::I32(num)) => crate::ConstantInner::Scalar {
                    value: crate::ScalarValue::Sint(num as i64),
                    width: 4,
                },
                Ok(Number::U32(num)) => crate::ConstantInner::Scalar {
                    value: crate::ScalarValue::Uint(num as u64),
                    width: 4,
                },
                Ok(Number::F32(num)) => crate::ConstantInner::Scalar {
                    value: crate::ScalarValue::Float(num as f64),
                    width: 4,
                },
                Ok(Number::AbstractInt(_) | Number::AbstractFloat(_)) => unreachable!(),
                Err(e) => return Err(Error::BadNumber(first_token_span.1, e)),
            },
            (Token::Word(name), name_span) => {
                // look for an existing constant first
                for (handle, var) in const_arena.iter() {
                    match var.name {
                        Some(ref string) if string == name => {
                            self.pop_rule_span(lexer);
                            return Ok(handle);
                        }
                        _ => {}
                    }
                }
                let composite_ty = self.parse_type_decl_name(
                    lexer,
                    name,
                    name_span,
                    None,
                    TypeAttributes::default(),
                    type_arena,
                    const_arena,
                )?;

                lexer.open_arguments()?;
                //Note: this expects at least one argument
                let mut components = Vec::new();
                while components.is_empty() || lexer.next_argument()? {
                    let component = self.parse_const_expression(lexer, type_arena, const_arena)?;
                    components.push(component);
                }
                crate::ConstantInner::Composite {
                    ty: composite_ty,
                    components,
                }
            }
            other => return Err(Error::Unexpected(other.1, ExpectedToken::Constant)),
        };

        // Only set span if it's a named constant. Otherwise, the enclosing Expression should have
        // the span.
        let span = self.pop_rule_span(lexer);
        let handle = if let Some(name) = register_name {
            if crate::keywords::wgsl::RESERVED.contains(&name) {
                return Err(Error::ReservedKeyword(span));
            }
            const_arena.append(
                crate::Constant {
                    name: Some(name.to_string()),
                    specialization: None,
                    inner,
                },
                NagaSpan::from(span),
            )
        } else {
            const_arena.fetch_or_append(
                crate::Constant {
                    name: None,
                    specialization: None,
                    inner,
                },
                Default::default(),
            )
        };

        Ok(handle)
    }

    fn parse_const_expression<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        type_arena: &mut UniqueArena<crate::Type>,
        const_arena: &mut Arena<crate::Constant>,
    ) -> Result<Handle<crate::Constant>, Error<'a>> {
        self.parse_const_expression_impl(lexer.next(), lexer, None, type_arena, const_arena)
    }

    fn parse_primary_expression<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut ctx: ExpressionContext<'a, '_, '_>,
    ) -> Result<TypedExpression, Error<'a>> {
        // Will be popped inside match, possibly inside parse_function_call_inner or parse_construction
        self.push_rule_span(Rule::PrimaryExpr, lexer);
        let expr = match lexer.peek() {
            (Token::Paren('('), _) => {
                let _ = lexer.next();
                let (expr, _span) =
                    self.parse_general_expression_for_reference(lexer, ctx.reborrow())?;
                lexer.expect(Token::Paren(')'))?;
                self.pop_rule_span(lexer);
                expr
            }
            (Token::Word("true" | "false") | Token::Number(..), _) => {
                let const_handle = self.parse_const_expression(lexer, ctx.types, ctx.constants)?;
                let span = NagaSpan::from(self.pop_rule_span(lexer));
                TypedExpression::non_reference(
                    ctx.interrupt_emitter(crate::Expression::Constant(const_handle), span),
                )
            }
            (Token::Word(word), span) => {
                if let Some(definition) = ctx.symbol_table.lookup(word) {
                    let _ = lexer.next();
                    self.pop_rule_span(lexer);

                    *definition
                } else if let Some(CalledFunction { result: Some(expr) }) =
                    self.parse_function_call_inner(lexer, word, ctx.reborrow())?
                {
                    //TODO: resolve the duplicate call in `parse_singular_expression`
                    self.pop_rule_span(lexer);
                    TypedExpression::non_reference(expr)
                } else {
                    let _ = lexer.next();
                    if let Some(expr) = construction::parse_construction(
                        self,
                        lexer,
                        word,
                        span.clone(),
                        ctx.reborrow(),
                    )? {
                        TypedExpression::non_reference(expr)
                    } else {
                        return Err(Error::UnknownIdent(span, word));
                    }
                }
            }
            other => return Err(Error::Unexpected(other.1, ExpectedToken::PrimaryExpression)),
        };
        Ok(expr)
    }

    fn parse_postfix<'a>(
        &mut self,
        span_start: usize,
        lexer: &mut Lexer<'a>,
        mut ctx: ExpressionContext<'a, '_, '_>,
        expr: TypedExpression,
    ) -> Result<TypedExpression, Error<'a>> {
        // Parse postfix expressions, adjusting `handle` and `is_reference` along the way.
        //
        // Most postfix expressions don't affect `is_reference`: for example, `s.x` is a
        // reference whenever `s` is a reference. But swizzles (WGSL spec: "multiple
        // component selection") apply the load rule, converting references to values, so
        // those affect `is_reference` as well as `handle`.
        let TypedExpression {
            mut handle,
            mut is_reference,
        } = expr;
        let mut prefix_span = lexer.span_from(span_start);

        loop {
            // Step lightly around `resolve_type`'s mutable borrow.
            ctx.resolve_type(handle)?;

            // Find the type of the composite whose elements, components or members we're
            // accessing, skipping through references: except for swizzles, the `Access`
            // or `AccessIndex` expressions we'd generate are the same either way.
            //
            // Pointers, however, are not permitted. For error checks below, note whether
            // the base expression is a WGSL pointer.
            let temp_inner;
            let (composite, wgsl_pointer) = match *ctx.typifier.get(handle, ctx.types) {
                crate::TypeInner::Pointer { base, .. } => (&ctx.types[base].inner, !is_reference),
                crate::TypeInner::ValuePointer {
                    size: None,
                    kind,
                    width,
                    ..
                } => {
                    temp_inner = crate::TypeInner::Scalar { kind, width };
                    (&temp_inner, !is_reference)
                }
                crate::TypeInner::ValuePointer {
                    size: Some(size),
                    kind,
                    width,
                    ..
                } => {
                    temp_inner = crate::TypeInner::Vector { size, kind, width };
                    (&temp_inner, !is_reference)
                }
                ref other => (other, false),
            };

            let expression = match lexer.peek().0 {
                Token::Separator('.') => {
                    let _ = lexer.next();
                    let (name, name_span) = lexer.next_ident_with_span()?;

                    // WGSL doesn't allow accessing members on pointers, or swizzling
                    // them. But Naga IR doesn't distinguish pointers and references, so
                    // we must check here.
                    if wgsl_pointer {
                        return Err(Error::Pointer(
                            "the value accessed by a `.member` expression",
                            prefix_span,
                        ));
                    }

                    let access = match *composite {
                        crate::TypeInner::Struct { ref members, .. } => {
                            let index = members
                                .iter()
                                .position(|m| m.name.as_deref() == Some(name))
                                .ok_or(Error::BadAccessor(name_span))?
                                as u32;
                            crate::Expression::AccessIndex {
                                base: handle,
                                index,
                            }
                        }
                        crate::TypeInner::Vector { .. } | crate::TypeInner::Matrix { .. } => {
                            match Composition::make(name, name_span)? {
                                Composition::Multi(size, pattern) => {
                                    // Once you apply the load rule, the expression is no
                                    // longer a reference.
                                    let current_expr = TypedExpression {
                                        handle,
                                        is_reference,
                                    };
                                    let vector = ctx.apply_load_rule(current_expr);
                                    is_reference = false;

                                    crate::Expression::Swizzle {
                                        size,
                                        vector,
                                        pattern,
                                    }
                                }
                                Composition::Single(index) => crate::Expression::AccessIndex {
                                    base: handle,
                                    index,
                                },
                            }
                        }
                        _ => return Err(Error::BadAccessor(name_span)),
                    };

                    access
                }
                Token::Paren('[') => {
                    let (_, open_brace_span) = lexer.next();
                    let index = self.parse_general_expression(lexer, ctx.reborrow())?;
                    let close_brace_span = lexer.expect_span(Token::Paren(']'))?;

                    // WGSL doesn't allow pointers to be subscripted. But Naga IR doesn't
                    // distinguish pointers and references, so we must check here.
                    if wgsl_pointer {
                        return Err(Error::Pointer(
                            "the value indexed by a `[]` subscripting expression",
                            prefix_span,
                        ));
                    }

                    if let crate::Expression::Constant(constant) = ctx.expressions[index] {
                        let expr_span = open_brace_span.end..close_brace_span.start;

                        let index = match ctx.constants[constant].inner {
                            ConstantInner::Scalar {
                                value: ScalarValue::Uint(int),
                                ..
                            } => u32::try_from(int).map_err(|_| Error::BadU32Constant(expr_span)),
                            ConstantInner::Scalar {
                                value: ScalarValue::Sint(int),
                                ..
                            } => u32::try_from(int).map_err(|_| Error::BadU32Constant(expr_span)),
                            _ => Err(Error::BadU32Constant(expr_span)),
                        }?;

                        crate::Expression::AccessIndex {
                            base: handle,
                            index,
                        }
                    } else {
                        crate::Expression::Access {
                            base: handle,
                            index,
                        }
                    }
                }
                _ => break,
            };

            prefix_span = lexer.span_from(span_start);
            handle = ctx
                .expressions
                .append(expression, NagaSpan::from(prefix_span.clone()));
        }

        Ok(TypedExpression {
            handle,
            is_reference,
        })
    }

    /// Parse a `unary_expression`.
    fn parse_unary_expression<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut ctx: ExpressionContext<'a, '_, '_>,
    ) -> Result<TypedExpression, Error<'a>> {
        self.push_rule_span(Rule::UnaryExpr, lexer);
        //TODO: refactor this to avoid backing up
        let expr = match lexer.peek().0 {
            Token::Operation('-') => {
                let _ = lexer.next();
                let unloaded_expr = self.parse_unary_expression(lexer, ctx.reborrow())?;
                let expr = ctx.apply_load_rule(unloaded_expr);
                let expr = crate::Expression::Unary {
                    op: crate::UnaryOperator::Negate,
                    expr,
                };
                let span = NagaSpan::from(self.peek_rule_span(lexer));
                TypedExpression::non_reference(ctx.expressions.append(expr, span))
            }
            Token::Operation('!' | '~') => {
                let _ = lexer.next();
                let unloaded_expr = self.parse_unary_expression(lexer, ctx.reborrow())?;
                let expr = ctx.apply_load_rule(unloaded_expr);
                let expr = crate::Expression::Unary {
                    op: crate::UnaryOperator::Not,
                    expr,
                };
                let span = NagaSpan::from(self.peek_rule_span(lexer));
                TypedExpression::non_reference(ctx.expressions.append(expr, span))
            }
            Token::Operation('*') => {
                let _ = lexer.next();
                // The `*` operator does not accept a reference, so we must apply the Load
                // Rule here. But the operator itself simply changes the type from
                // `ptr<SC, T, A>` to `ref<SC, T, A>`, so we generate no code for the
                // operator itself. We simply return a `TypedExpression` with
                // `is_reference` set to true.
                let unloaded_pointer = self.parse_unary_expression(lexer, ctx.reborrow())?;
                let pointer = ctx.apply_load_rule(unloaded_pointer);

                // An expression like `&*ptr` may generate no Naga IR at all, but WGSL requires
                // an error if `ptr` is not a pointer. So we have to type-check this ourselves.
                if ctx.resolve_type(pointer)?.pointer_space().is_none() {
                    let span = ctx
                        .expressions
                        .get_span(pointer)
                        .to_range()
                        .unwrap_or_else(|| self.peek_rule_span(lexer));
                    return Err(Error::NotPointer(span));
                }

                TypedExpression {
                    handle: pointer,
                    is_reference: true,
                }
            }
            Token::Operation('&') => {
                let _ = lexer.next();
                // The `&` operator simply converts a reference to a pointer. And since a
                // reference is required, the Load Rule is not applied.
                let operand = self.parse_unary_expression(lexer, ctx.reborrow())?;
                if !operand.is_reference {
                    let span = ctx
                        .expressions
                        .get_span(operand.handle)
                        .to_range()
                        .unwrap_or_else(|| self.peek_rule_span(lexer));
                    return Err(Error::NotReference("the operand of the `&` operator", span));
                }

                // No code is generated. We just declare the pointer a reference now.
                TypedExpression {
                    is_reference: false,
                    ..operand
                }
            }
            _ => self.parse_singular_expression(lexer, ctx.reborrow())?,
        };

        self.pop_rule_span(lexer);
        Ok(expr)
    }

    /// Parse a `singular_expression`.
    fn parse_singular_expression<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut ctx: ExpressionContext<'a, '_, '_>,
    ) -> Result<TypedExpression, Error<'a>> {
        let start = lexer.start_byte_offset();
        self.push_rule_span(Rule::SingularExpr, lexer);
        let primary_expr = self.parse_primary_expression(lexer, ctx.reborrow())?;
        let singular_expr = self.parse_postfix(start, lexer, ctx.reborrow(), primary_expr)?;
        self.pop_rule_span(lexer);

        Ok(singular_expr)
    }

    fn parse_equality_expression<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut context: ExpressionContext<'a, '_, '_>,
    ) -> Result<TypedExpression, Error<'a>> {
        // equality_expression
        context.parse_binary_op(
            lexer,
            |token| match token {
                Token::LogicalOperation('=') => Some(crate::BinaryOperator::Equal),
                Token::LogicalOperation('!') => Some(crate::BinaryOperator::NotEqual),
                _ => None,
            },
            // relational_expression
            |lexer, mut context| {
                context.parse_binary_op(
                    lexer,
                    |token| match token {
                        Token::Paren('<') => Some(crate::BinaryOperator::Less),
                        Token::Paren('>') => Some(crate::BinaryOperator::Greater),
                        Token::LogicalOperation('<') => Some(crate::BinaryOperator::LessEqual),
                        Token::LogicalOperation('>') => Some(crate::BinaryOperator::GreaterEqual),
                        _ => None,
                    },
                    // shift_expression
                    |lexer, mut context| {
                        context.parse_binary_op(
                            lexer,
                            |token| match token {
                                Token::ShiftOperation('<') => {
                                    Some(crate::BinaryOperator::ShiftLeft)
                                }
                                Token::ShiftOperation('>') => {
                                    Some(crate::BinaryOperator::ShiftRight)
                                }
                                _ => None,
                            },
                            // additive_expression
                            |lexer, mut context| {
                                context.parse_binary_splat_op(
                                    lexer,
                                    |token| match token {
                                        Token::Operation('+') => Some(crate::BinaryOperator::Add),
                                        Token::Operation('-') => {
                                            Some(crate::BinaryOperator::Subtract)
                                        }
                                        _ => None,
                                    },
                                    // multiplicative_expression
                                    |lexer, mut context| {
                                        context.parse_binary_splat_op(
                                            lexer,
                                            |token| match token {
                                                Token::Operation('*') => {
                                                    Some(crate::BinaryOperator::Multiply)
                                                }
                                                Token::Operation('/') => {
                                                    Some(crate::BinaryOperator::Divide)
                                                }
                                                Token::Operation('%') => {
                                                    Some(crate::BinaryOperator::Modulo)
                                                }
                                                _ => None,
                                            },
                                            |lexer, context| {
                                                self.parse_unary_expression(lexer, context)
                                            },
                                        )
                                    },
                                )
                            },
                        )
                    },
                )
            },
        )
    }

    fn parse_general_expression_with_span<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut ctx: ExpressionContext<'a, '_, '_>,
    ) -> Result<(Handle<crate::Expression>, Span), Error<'a>> {
        let (expr, span) = self.parse_general_expression_for_reference(lexer, ctx.reborrow())?;
        Ok((ctx.apply_load_rule(expr), span))
    }

    fn parse_general_expression<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut ctx: ExpressionContext<'a, '_, '_>,
    ) -> Result<Handle<crate::Expression>, Error<'a>> {
        let (expr, _span) = self.parse_general_expression_for_reference(lexer, ctx.reborrow())?;
        Ok(ctx.apply_load_rule(expr))
    }

    fn parse_general_expression_for_reference<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut context: ExpressionContext<'a, '_, '_>,
    ) -> Result<(TypedExpression, Span), Error<'a>> {
        self.push_rule_span(Rule::GeneralExpr, lexer);
        // logical_or_expression
        let handle = context.parse_binary_op(
            lexer,
            |token| match token {
                Token::LogicalOperation('|') => Some(crate::BinaryOperator::LogicalOr),
                _ => None,
            },
            // logical_and_expression
            |lexer, mut context| {
                context.parse_binary_op(
                    lexer,
                    |token| match token {
                        Token::LogicalOperation('&') => Some(crate::BinaryOperator::LogicalAnd),
                        _ => None,
                    },
                    // inclusive_or_expression
                    |lexer, mut context| {
                        context.parse_binary_op(
                            lexer,
                            |token| match token {
                                Token::Operation('|') => Some(crate::BinaryOperator::InclusiveOr),
                                _ => None,
                            },
                            // exclusive_or_expression
                            |lexer, mut context| {
                                context.parse_binary_op(
                                    lexer,
                                    |token| match token {
                                        Token::Operation('^') => {
                                            Some(crate::BinaryOperator::ExclusiveOr)
                                        }
                                        _ => None,
                                    },
                                    // and_expression
                                    |lexer, mut context| {
                                        context.parse_binary_op(
                                            lexer,
                                            |token| match token {
                                                Token::Operation('&') => {
                                                    Some(crate::BinaryOperator::And)
                                                }
                                                _ => None,
                                            },
                                            |lexer, context| {
                                                self.parse_equality_expression(lexer, context)
                                            },
                                        )
                                    },
                                )
                            },
                        )
                    },
                )
            },
        )?;
        Ok((handle, self.pop_rule_span(lexer)))
    }

    fn parse_variable_ident_decl<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        type_arena: &mut UniqueArena<crate::Type>,
        const_arena: &mut Arena<crate::Constant>,
    ) -> Result<(&'a str, Span, Handle<crate::Type>), Error<'a>> {
        let (name, name_span) = lexer.next_ident_with_span()?;
        lexer.expect(Token::Separator(':'))?;
        let ty = self.parse_type_decl(lexer, None, type_arena, const_arena)?;
        Ok((name, name_span, ty))
    }

    fn parse_variable_decl<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        type_arena: &mut UniqueArena<crate::Type>,
        const_arena: &mut Arena<crate::Constant>,
    ) -> Result<ParsedVariable<'a>, Error<'a>> {
        self.push_rule_span(Rule::VariableDecl, lexer);
        let mut space = None;

        if lexer.skip(Token::Paren('<')) {
            let (class_str, span) = lexer.next_ident_with_span()?;
            space = Some(match class_str {
                "storage" => {
                    let access = if lexer.skip(Token::Separator(',')) {
                        lexer.next_storage_access()?
                    } else {
                        // defaulting to `read`
                        crate::StorageAccess::LOAD
                    };
                    crate::AddressSpace::Storage { access }
                }
                _ => conv::map_address_space(class_str, span)?,
            });
            lexer.expect(Token::Paren('>'))?;
        }
        let name = lexer.next_ident()?;
        lexer.expect(Token::Separator(':'))?;
        let ty = self.parse_type_decl(lexer, None, type_arena, const_arena)?;

        let init = if lexer.skip(Token::Operation('=')) {
            let handle = self.parse_const_expression(lexer, type_arena, const_arena)?;
            Some(handle)
        } else {
            None
        };
        lexer.expect(Token::Separator(';'))?;
        let name_span = self.pop_rule_span(lexer);
        Ok(ParsedVariable {
            name,
            name_span,
            space,
            ty,
            init,
        })
    }

    fn parse_struct_body<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        type_arena: &mut UniqueArena<crate::Type>,
        const_arena: &mut Arena<crate::Constant>,
    ) -> Result<(Vec<crate::StructMember>, u32), Error<'a>> {
        let mut offset = 0;
        let mut struct_alignment = Alignment::ONE;
        let mut members = Vec::new();

        lexer.expect(Token::Paren('{'))?;
        let mut ready = true;
        while !lexer.skip(Token::Paren('}')) {
            if !ready {
                return Err(Error::Unexpected(
                    lexer.next().1,
                    ExpectedToken::Token(Token::Separator(',')),
                ));
            }
            let (mut size_attr, mut align_attr) = (None, None);
            self.push_rule_span(Rule::Attribute, lexer);
            let mut bind_parser = BindingParser::default();
            while lexer.skip(Token::Attribute) {
                match lexer.next_ident_with_span()? {
                    ("size", _) => {
                        lexer.expect(Token::Paren('('))?;
                        let (value, span) =
                            lexer.capture_span(Self::parse_non_negative_i32_literal)?;
                        lexer.expect(Token::Paren(')'))?;
                        size_attr = Some((value, span));
                    }
                    ("align", _) => {
                        lexer.expect(Token::Paren('('))?;
                        let (value, span) =
                            lexer.capture_span(Self::parse_non_negative_i32_literal)?;
                        lexer.expect(Token::Paren(')'))?;
                        align_attr = Some((value, span));
                    }
                    (word, word_span) => bind_parser.parse(lexer, word, word_span)?,
                }
            }

            let bind_span = self.pop_rule_span(lexer);
            let mut binding = bind_parser.finish(bind_span)?;

            let (name, span) = match lexer.next() {
                (Token::Word(word), span) => (word, span),
                other => return Err(Error::Unexpected(other.1, ExpectedToken::FieldName)),
            };
            if crate::keywords::wgsl::RESERVED.contains(&name) {
                return Err(Error::ReservedKeyword(span));
            }
            lexer.expect(Token::Separator(':'))?;
            let ty = self.parse_type_decl(lexer, None, type_arena, const_arena)?;
            ready = lexer.skip(Token::Separator(','));

            self.layouter.update(type_arena, const_arena).unwrap();

            let member_min_size = self.layouter[ty].size;
            let member_min_alignment = self.layouter[ty].alignment;

            let member_size = if let Some((size, span)) = size_attr {
                if size < member_min_size {
                    return Err(Error::SizeAttributeTooLow(span, member_min_size));
                } else {
                    size
                }
            } else {
                member_min_size
            };

            let member_alignment = if let Some((align, span)) = align_attr {
                if let Some(alignment) = Alignment::new(align) {
                    if alignment < member_min_alignment {
                        return Err(Error::AlignAttributeTooLow(span, member_min_alignment));
                    } else {
                        alignment
                    }
                } else {
                    return Err(Error::NonPowerOfTwoAlignAttribute(span));
                }
            } else {
                member_min_alignment
            };

            offset = member_alignment.round_up(offset);
            struct_alignment = struct_alignment.max(member_alignment);

            if let Some(ref mut binding) = binding {
                binding.apply_default_interpolation(&type_arena[ty].inner);
            }

            members.push(crate::StructMember {
                name: Some(name.to_owned()),
                ty,
                binding,
                offset,
            });

            offset += member_size;
        }

        let struct_size = struct_alignment.round_up(offset);
        Ok((members, struct_size))
    }

    fn parse_matrix_scalar_type<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        columns: crate::VectorSize,
        rows: crate::VectorSize,
    ) -> Result<crate::TypeInner, Error<'a>> {
        let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
        match kind {
            crate::ScalarKind::Float => Ok(crate::TypeInner::Matrix {
                columns,
                rows,
                width,
            }),
            _ => Err(Error::BadMatrixScalarKind(span, kind, width)),
        }
    }

    fn parse_type_decl_impl<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        _attribute: TypeAttributes,
        word: &'a str,
        type_arena: &mut UniqueArena<crate::Type>,
        const_arena: &mut Arena<crate::Constant>,
    ) -> Result<Option<crate::TypeInner>, Error<'a>> {
        if let Some((kind, width)) = conv::get_scalar_type(word) {
            return Ok(Some(crate::TypeInner::Scalar { kind, width }));
        }

        Ok(Some(match word {
            "vec2" => {
                let (kind, width) = lexer.next_scalar_generic()?;
                crate::TypeInner::Vector {
                    size: crate::VectorSize::Bi,
                    kind,
                    width,
                }
            }
            "vec3" => {
                let (kind, width) = lexer.next_scalar_generic()?;
                crate::TypeInner::Vector {
                    size: crate::VectorSize::Tri,
                    kind,
                    width,
                }
            }
            "vec4" => {
                let (kind, width) = lexer.next_scalar_generic()?;
                crate::TypeInner::Vector {
                    size: crate::VectorSize::Quad,
                    kind,
                    width,
                }
            }
            "mat2x2" => {
                self.parse_matrix_scalar_type(lexer, crate::VectorSize::Bi, crate::VectorSize::Bi)?
            }
            "mat2x3" => {
                self.parse_matrix_scalar_type(lexer, crate::VectorSize::Bi, crate::VectorSize::Tri)?
            }
            "mat2x4" => self.parse_matrix_scalar_type(
                lexer,
                crate::VectorSize::Bi,
                crate::VectorSize::Quad,
            )?,
            "mat3x2" => {
                self.parse_matrix_scalar_type(lexer, crate::VectorSize::Tri, crate::VectorSize::Bi)?
            }
            "mat3x3" => self.parse_matrix_scalar_type(
                lexer,
                crate::VectorSize::Tri,
                crate::VectorSize::Tri,
            )?,
            "mat3x4" => self.parse_matrix_scalar_type(
                lexer,
                crate::VectorSize::Tri,
                crate::VectorSize::Quad,
            )?,
            "mat4x2" => self.parse_matrix_scalar_type(
                lexer,
                crate::VectorSize::Quad,
                crate::VectorSize::Bi,
            )?,
            "mat4x3" => self.parse_matrix_scalar_type(
                lexer,
                crate::VectorSize::Quad,
                crate::VectorSize::Tri,
            )?,
            "mat4x4" => self.parse_matrix_scalar_type(
                lexer,
                crate::VectorSize::Quad,
                crate::VectorSize::Quad,
            )?,
            "atomic" => {
                let (kind, width) = lexer.next_scalar_generic()?;
                crate::TypeInner::Atomic { kind, width }
            }
            "ptr" => {
                lexer.expect_generic_paren('<')?;
                let (ident, span) = lexer.next_ident_with_span()?;
                let mut space = conv::map_address_space(ident, span)?;
                lexer.expect(Token::Separator(','))?;
                let base = self.parse_type_decl(lexer, None, type_arena, const_arena)?;
                if let crate::AddressSpace::Storage { ref mut access } = space {
                    *access = if lexer.skip(Token::Separator(',')) {
                        lexer.next_storage_access()?
                    } else {
                        crate::StorageAccess::LOAD
                    };
                }
                lexer.expect_generic_paren('>')?;
                crate::TypeInner::Pointer { base, space }
            }
            "array" => {
                lexer.expect_generic_paren('<')?;
                let base = self.parse_type_decl(lexer, None, type_arena, const_arena)?;
                let size = if lexer.skip(Token::Separator(',')) {
                    let const_handle =
                        self.parse_const_expression(lexer, type_arena, const_arena)?;
                    crate::ArraySize::Constant(const_handle)
                } else {
                    crate::ArraySize::Dynamic
                };
                lexer.expect_generic_paren('>')?;

                let stride = {
                    self.layouter.update(type_arena, const_arena).unwrap();
                    self.layouter[base].to_stride()
                };
                crate::TypeInner::Array { base, size, stride }
            }
            "binding_array" => {
                lexer.expect_generic_paren('<')?;
                let base = self.parse_type_decl(lexer, None, type_arena, const_arena)?;
                let size = if lexer.skip(Token::Separator(',')) {
                    let const_handle =
                        self.parse_const_expression(lexer, type_arena, const_arena)?;
                    crate::ArraySize::Constant(const_handle)
                } else {
                    crate::ArraySize::Dynamic
                };
                lexer.expect_generic_paren('>')?;

                crate::TypeInner::BindingArray { base, size }
            }
            "sampler" => crate::TypeInner::Sampler { comparison: false },
            "sampler_comparison" => crate::TypeInner::Sampler { comparison: true },
            "texture_1d" => {
                let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
                Self::check_texture_sample_type(kind, width, span)?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D1,
                    arrayed: false,
                    class: crate::ImageClass::Sampled { kind, multi: false },
                }
            }
            "texture_1d_array" => {
                let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
                Self::check_texture_sample_type(kind, width, span)?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D1,
                    arrayed: true,
                    class: crate::ImageClass::Sampled { kind, multi: false },
                }
            }
            "texture_2d" => {
                let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
                Self::check_texture_sample_type(kind, width, span)?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D2,
                    arrayed: false,
                    class: crate::ImageClass::Sampled { kind, multi: false },
                }
            }
            "texture_2d_array" => {
                let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
                Self::check_texture_sample_type(kind, width, span)?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D2,
                    arrayed: true,
                    class: crate::ImageClass::Sampled { kind, multi: false },
                }
            }
            "texture_3d" => {
                let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
                Self::check_texture_sample_type(kind, width, span)?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D3,
                    arrayed: false,
                    class: crate::ImageClass::Sampled { kind, multi: false },
                }
            }
            "texture_cube" => {
                let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
                Self::check_texture_sample_type(kind, width, span)?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::Cube,
                    arrayed: false,
                    class: crate::ImageClass::Sampled { kind, multi: false },
                }
            }
            "texture_cube_array" => {
                let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
                Self::check_texture_sample_type(kind, width, span)?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::Cube,
                    arrayed: true,
                    class: crate::ImageClass::Sampled { kind, multi: false },
                }
            }
            "texture_multisampled_2d" => {
                let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
                Self::check_texture_sample_type(kind, width, span)?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D2,
                    arrayed: false,
                    class: crate::ImageClass::Sampled { kind, multi: true },
                }
            }
            "texture_multisampled_2d_array" => {
                let (kind, width, span) = lexer.next_scalar_generic_with_span()?;
                Self::check_texture_sample_type(kind, width, span)?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D2,
                    arrayed: true,
                    class: crate::ImageClass::Sampled { kind, multi: true },
                }
            }
            "texture_depth_2d" => crate::TypeInner::Image {
                dim: crate::ImageDimension::D2,
                arrayed: false,
                class: crate::ImageClass::Depth { multi: false },
            },
            "texture_depth_2d_array" => crate::TypeInner::Image {
                dim: crate::ImageDimension::D2,
                arrayed: true,
                class: crate::ImageClass::Depth { multi: false },
            },
            "texture_depth_cube" => crate::TypeInner::Image {
                dim: crate::ImageDimension::Cube,
                arrayed: false,
                class: crate::ImageClass::Depth { multi: false },
            },
            "texture_depth_cube_array" => crate::TypeInner::Image {
                dim: crate::ImageDimension::Cube,
                arrayed: true,
                class: crate::ImageClass::Depth { multi: false },
            },
            "texture_depth_multisampled_2d" => crate::TypeInner::Image {
                dim: crate::ImageDimension::D2,
                arrayed: false,
                class: crate::ImageClass::Depth { multi: true },
            },
            "texture_storage_1d" => {
                let (format, access) = lexer.next_format_generic()?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D1,
                    arrayed: false,
                    class: crate::ImageClass::Storage { format, access },
                }
            }
            "texture_storage_1d_array" => {
                let (format, access) = lexer.next_format_generic()?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D1,
                    arrayed: true,
                    class: crate::ImageClass::Storage { format, access },
                }
            }
            "texture_storage_2d" => {
                let (format, access) = lexer.next_format_generic()?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D2,
                    arrayed: false,
                    class: crate::ImageClass::Storage { format, access },
                }
            }
            "texture_storage_2d_array" => {
                let (format, access) = lexer.next_format_generic()?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D2,
                    arrayed: true,
                    class: crate::ImageClass::Storage { format, access },
                }
            }
            "texture_storage_3d" => {
                let (format, access) = lexer.next_format_generic()?;
                crate::TypeInner::Image {
                    dim: crate::ImageDimension::D3,
                    arrayed: false,
                    class: crate::ImageClass::Storage { format, access },
                }
            }
            _ => return Ok(None),
        }))
    }

    const fn check_texture_sample_type(
        kind: crate::ScalarKind,
        width: u8,
        span: Span,
    ) -> Result<(), Error<'static>> {
        use crate::ScalarKind::*;
        // Validate according to https://gpuweb.github.io/gpuweb/wgsl/#sampled-texture-type
        match (kind, width) {
            (Float | Sint | Uint, 4) => Ok(()),
            _ => Err(Error::BadTextureSampleType { span, kind, width }),
        }
    }

    /// Parse type declaration of a given name and attribute.
    #[allow(clippy::too_many_arguments)]
    fn parse_type_decl_name<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        name: &'a str,
        name_span: Span,
        debug_name: Option<&'a str>,
        attribute: TypeAttributes,
        type_arena: &mut UniqueArena<crate::Type>,
        const_arena: &mut Arena<crate::Constant>,
    ) -> Result<Handle<crate::Type>, Error<'a>> {
        Ok(match self.lookup_type.get(name) {
            Some(&handle) => handle,
            None => {
                match self.parse_type_decl_impl(lexer, attribute, name, type_arena, const_arena)? {
                    Some(inner) => {
                        let span = name_span.start..lexer.end_byte_offset();
                        type_arena.insert(
                            crate::Type {
                                name: debug_name.map(|s| s.to_string()),
                                inner,
                            },
                            NagaSpan::from(span),
                        )
                    }
                    None => return Err(Error::UnknownType(name_span)),
                }
            }
        })
    }

    fn parse_type_decl<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        debug_name: Option<&'a str>,
        type_arena: &mut UniqueArena<crate::Type>,
        const_arena: &mut Arena<crate::Constant>,
    ) -> Result<Handle<crate::Type>, Error<'a>> {
        self.push_rule_span(Rule::TypeDecl, lexer);
        let attribute = TypeAttributes::default();

        if lexer.skip(Token::Attribute) {
            let other = lexer.next();
            return Err(Error::Unexpected(other.1, ExpectedToken::TypeAttribute));
        }

        let (name, name_span) = lexer.next_ident_with_span()?;
        let handle = self.parse_type_decl_name(
            lexer,
            name,
            name_span,
            debug_name,
            attribute,
            type_arena,
            const_arena,
        )?;
        self.pop_rule_span(lexer);
        // Only set span if it's the first occurrence of the type.
        // Type spans therefore should only be used for errors in type declarations;
        // use variable spans/expression spans/etc. otherwise
        Ok(handle)
    }

    /// Parse an assignment statement (will also parse increment and decrement statements)
    fn parse_assignment_statement<'a, 'out>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut context: StatementContext<'a, '_, 'out>,
        block: &mut crate::Block,
        emitter: &mut super::Emitter,
    ) -> Result<(), Error<'a>> {
        use crate::BinaryOperator as Bo;

        let span_start = lexer.start_byte_offset();
        emitter.start(context.expressions);
        let (reference, lhs_span) = self
            .parse_general_expression_for_reference(lexer, context.as_expression(block, emitter))?;
        let op = lexer.next();
        // The left hand side of an assignment must be a reference.
        if !matches!(
            op.0,
            Token::Operation('=')
                | Token::AssignmentOperation(_)
                | Token::IncrementOperation
                | Token::DecrementOperation
        ) {
            return Err(Error::Unexpected(lhs_span, ExpectedToken::Assignment));
        } else if !reference.is_reference {
            let ty = if context.named_expressions.contains_key(&reference.handle) {
                InvalidAssignmentType::ImmutableBinding
            } else {
                match *context.expressions.get_mut(reference.handle) {
                    crate::Expression::Swizzle { .. } => InvalidAssignmentType::Swizzle,
                    _ => InvalidAssignmentType::Other,
                }
            };

            return Err(Error::InvalidAssignment { span: lhs_span, ty });
        }

        let mut context = context.as_expression(block, emitter);

        let value = match op {
            (Token::Operation('='), _) => {
                self.parse_general_expression(lexer, context.reborrow())?
            }
            (Token::AssignmentOperation(c), span) => {
                let op = match c {
                    '<' => Bo::ShiftLeft,
                    '>' => Bo::ShiftRight,
                    '+' => Bo::Add,
                    '-' => Bo::Subtract,
                    '*' => Bo::Multiply,
                    '/' => Bo::Divide,
                    '%' => Bo::Modulo,
                    '&' => Bo::And,
                    '|' => Bo::InclusiveOr,
                    '^' => Bo::ExclusiveOr,
                    //Note: `consume_token` shouldn't produce any other assignment ops
                    _ => unreachable!(),
                };
                let mut left = context.expressions.append(
                    crate::Expression::Load {
                        pointer: reference.handle,
                    },
                    lhs_span.into(),
                );
                let mut right = self.parse_general_expression(lexer, context.reborrow())?;

                context.binary_op_splat(op, &mut left, &mut right)?;

                context
                    .expressions
                    .append(crate::Expression::Binary { op, left, right }, span.into())
            }
            token @ (Token::IncrementOperation | Token::DecrementOperation, _) => {
                let op = match token.0 {
                    Token::IncrementOperation => Bo::Add,
                    Token::DecrementOperation => Bo::Subtract,
                    _ => unreachable!(),
                };
                let op_span = token.1;

                // prepare the typifier, but work around mutable borrowing...
                let _ = context.resolve_type(reference.handle)?;

                let ty = context.typifier.get(reference.handle, context.types);
                let (kind, width) = match *ty {
                    crate::TypeInner::ValuePointer {
                        size: None,
                        kind,
                        width,
                        ..
                    } => (kind, width),
                    crate::TypeInner::Pointer { base, .. } => match context.types[base].inner {
                        crate::TypeInner::Scalar { kind, width } => (kind, width),
                        _ => return Err(Error::BadIncrDecrReferenceType(lhs_span)),
                    },
                    _ => return Err(Error::BadIncrDecrReferenceType(lhs_span)),
                };
                let constant_inner = crate::ConstantInner::Scalar {
                    width,
                    value: match kind {
                        crate::ScalarKind::Sint => crate::ScalarValue::Sint(1),
                        crate::ScalarKind::Uint => crate::ScalarValue::Uint(1),
                        _ => return Err(Error::BadIncrDecrReferenceType(lhs_span)),
                    },
                };
                let constant = context.constants.append(
                    crate::Constant {
                        name: None,
                        specialization: None,
                        inner: constant_inner,
                    },
                    crate::Span::default(),
                );

                let left = context.expressions.append(
                    crate::Expression::Load {
                        pointer: reference.handle,
                    },
                    lhs_span.into(),
                );
                let right = context.interrupt_emitter(
                    crate::Expression::Constant(constant),
                    crate::Span::default(),
                );
                context.expressions.append(
                    crate::Expression::Binary { op, left, right },
                    op_span.into(),
                )
            }
            other => return Err(Error::Unexpected(other.1, ExpectedToken::SwitchItem)),
        };

        let span_end = lexer.end_byte_offset();
        context
            .block
            .extend(context.emitter.finish(context.expressions));
        context.block.push(
            crate::Statement::Store {
                pointer: reference.handle,
                value,
            },
            NagaSpan::from(span_start..span_end),
        );
        Ok(())
    }

    /// Parse a function call statement.
    fn parse_function_statement<'a, 'out>(
        &mut self,
        lexer: &mut Lexer<'a>,
        ident: &'a str,
        mut context: ExpressionContext<'a, '_, 'out>,
    ) -> Result<(), Error<'a>> {
        self.push_rule_span(Rule::SingularExpr, lexer);
        context.emitter.start(context.expressions);
        if self
            .parse_function_call_inner(lexer, ident, context.reborrow())?
            .is_none()
        {
            let span = lexer.next().1;
            return Err(Error::UnknownLocalFunction(span));
        }
        context
            .block
            .extend(context.emitter.finish(context.expressions));
        self.pop_rule_span(lexer);

        Ok(())
    }

    fn parse_switch_case_body<'a, 'out>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut context: StatementContext<'a, '_, 'out>,
    ) -> Result<(bool, crate::Block), Error<'a>> {
        let mut body = crate::Block::new();
        // Push a new lexical scope for the switch case body
        context.symbol_table.push_scope();

        lexer.expect(Token::Paren('{'))?;
        let fall_through = loop {
            // default statements
            if lexer.skip(Token::Word("fallthrough")) {
                lexer.expect(Token::Separator(';'))?;
                lexer.expect(Token::Paren('}'))?;
                break true;
            }
            if lexer.skip(Token::Paren('}')) {
                break false;
            }
            self.parse_statement(lexer, context.reborrow(), &mut body, false)?;
        };
        // Pop the switch case body lexical scope
        context.symbol_table.pop_scope();

        Ok((fall_through, body))
    }

    fn parse_statement<'a, 'out>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut context: StatementContext<'a, '_, 'out>,
        block: &'out mut crate::Block,
        is_uniform_control_flow: bool,
    ) -> Result<(), Error<'a>> {
        self.push_rule_span(Rule::Statement, lexer);
        match lexer.peek() {
            (Token::Separator(';'), _) => {
                let _ = lexer.next();
                self.pop_rule_span(lexer);
                return Ok(());
            }
            (Token::Paren('{'), _) => {
                self.push_rule_span(Rule::Block, lexer);
                // Push a new lexical scope for the block statement
                context.symbol_table.push_scope();

                let _ = lexer.next();
                let mut statements = crate::Block::new();
                while !lexer.skip(Token::Paren('}')) {
                    self.parse_statement(
                        lexer,
                        context.reborrow(),
                        &mut statements,
                        is_uniform_control_flow,
                    )?;
                }
                // Pop the block statement lexical scope
                context.symbol_table.pop_scope();

                self.pop_rule_span(lexer);
                let span = NagaSpan::from(self.pop_rule_span(lexer));
                block.push(crate::Statement::Block(statements), span);
                return Ok(());
            }
            (Token::Word(word), _) => {
                let mut emitter = super::Emitter::default();
                let statement = match word {
                    "_" => {
                        let _ = lexer.next();
                        emitter.start(context.expressions);
                        lexer.expect(Token::Operation('='))?;
                        self.parse_general_expression(
                            lexer,
                            context.as_expression(block, &mut emitter),
                        )?;
                        lexer.expect(Token::Separator(';'))?;
                        block.extend(emitter.finish(context.expressions));
                        None
                    }
                    "let" => {
                        let _ = lexer.next();
                        emitter.start(context.expressions);
                        let (name, name_span) = lexer.next_ident_with_span()?;
                        if crate::keywords::wgsl::RESERVED.contains(&name) {
                            return Err(Error::ReservedKeyword(name_span));
                        }
                        let given_ty = if lexer.skip(Token::Separator(':')) {
                            let ty = self.parse_type_decl(
                                lexer,
                                None,
                                context.types,
                                context.constants,
                            )?;
                            Some(ty)
                        } else {
                            None
                        };
                        lexer.expect(Token::Operation('='))?;
                        let expr_id = self.parse_general_expression(
                            lexer,
                            context.as_expression(block, &mut emitter),
                        )?;
                        lexer.expect(Token::Separator(';'))?;
                        if let Some(ty) = given_ty {
                            // prepare the typifier, but work around mutable borrowing...
                            let _ = context
                                .as_expression(block, &mut emitter)
                                .resolve_type(expr_id)?;
                            let expr_inner = context.typifier.get(expr_id, context.types);
                            let given_inner = &context.types[ty].inner;
                            if !given_inner.equivalent(expr_inner, context.types) {
                                log::error!(
                                    "Given type {:?} doesn't match expected {:?}",
                                    given_inner,
                                    expr_inner
                                );
                                return Err(Error::InitializationTypeMismatch(
                                    name_span,
                                    expr_inner.to_wgsl(context.types, context.constants),
                                ));
                            }
                        }
                        block.extend(emitter.finish(context.expressions));
                        context.symbol_table.add(
                            name,
                            TypedExpression {
                                handle: expr_id,
                                is_reference: false,
                            },
                        );
                        context
                            .named_expressions
                            .insert(expr_id, String::from(name));
                        None
                    }
                    "var" => {
                        let _ = lexer.next();
                        enum Init {
                            Empty,
                            Constant(Handle<crate::Constant>),
                            Variable(Handle<crate::Expression>),
                        }

                        let (name, name_span) = lexer.next_ident_with_span()?;
                        if crate::keywords::wgsl::RESERVED.contains(&name) {
                            return Err(Error::ReservedKeyword(name_span));
                        }
                        let given_ty = if lexer.skip(Token::Separator(':')) {
                            let ty = self.parse_type_decl(
                                lexer,
                                None,
                                context.types,
                                context.constants,
                            )?;
                            Some(ty)
                        } else {
                            None
                        };

                        let (init, ty) = if lexer.skip(Token::Operation('=')) {
                            emitter.start(context.expressions);
                            let value = self.parse_general_expression(
                                lexer,
                                context.as_expression(block, &mut emitter),
                            )?;
                            block.extend(emitter.finish(context.expressions));

                            // prepare the typifier, but work around mutable borrowing...
                            let _ = context
                                .as_expression(block, &mut emitter)
                                .resolve_type(value)?;

                            //TODO: share more of this code with `let` arm
                            let ty = match given_ty {
                                Some(ty) => {
                                    let expr_inner = context.typifier.get(value, context.types);
                                    let given_inner = &context.types[ty].inner;
                                    if !given_inner.equivalent(expr_inner, context.types) {
                                        log::error!(
                                            "Given type {:?} doesn't match expected {:?}",
                                            given_inner,
                                            expr_inner
                                        );
                                        return Err(Error::InitializationTypeMismatch(
                                            name_span,
                                            expr_inner.to_wgsl(context.types, context.constants),
                                        ));
                                    }
                                    ty
                                }
                                None => {
                                    // register the type, if needed
                                    match context.typifier[value].clone() {
                                        TypeResolution::Handle(ty) => ty,
                                        TypeResolution::Value(inner) => context.types.insert(
                                            crate::Type { name: None, inner },
                                            Default::default(),
                                        ),
                                    }
                                }
                            };

                            let init = match context.expressions[value] {
                                crate::Expression::Constant(handle) if is_uniform_control_flow => {
                                    Init::Constant(handle)
                                }
                                _ => Init::Variable(value),
                            };
                            (init, ty)
                        } else {
                            match given_ty {
                                Some(ty) => (Init::Empty, ty),
                                None => {
                                    log::error!(
                                        "Variable '{}' without an initializer needs a type",
                                        name
                                    );
                                    return Err(Error::MissingType(name_span));
                                }
                            }
                        };

                        lexer.expect(Token::Separator(';'))?;
                        let var_id = context.variables.append(
                            crate::LocalVariable {
                                name: Some(name.to_owned()),
                                ty,
                                init: match init {
                                    Init::Constant(value) => Some(value),
                                    _ => None,
                                },
                            },
                            NagaSpan::from(name_span),
                        );

                        // Doesn't make sense to assign a span to cached lookup
                        let expr_id = context
                            .expressions
                            .append(crate::Expression::LocalVariable(var_id), Default::default());
                        context.symbol_table.add(
                            name,
                            TypedExpression {
                                handle: expr_id,
                                is_reference: true,
                            },
                        );

                        if let Init::Variable(value) = init {
                            Some(crate::Statement::Store {
                                pointer: expr_id,
                                value,
                            })
                        } else {
                            None
                        }
                    }
                    "return" => {
                        let _ = lexer.next();
                        let value = if lexer.peek().0 != Token::Separator(';') {
                            emitter.start(context.expressions);
                            let handle = self.parse_general_expression(
                                lexer,
                                context.as_expression(block, &mut emitter),
                            )?;
                            block.extend(emitter.finish(context.expressions));
                            Some(handle)
                        } else {
                            None
                        };
                        lexer.expect(Token::Separator(';'))?;
                        Some(crate::Statement::Return { value })
                    }
                    "if" => {
                        let _ = lexer.next();
                        emitter.start(context.expressions);
                        let condition = self.parse_general_expression(
                            lexer,
                            context.as_expression(block, &mut emitter),
                        )?;
                        block.extend(emitter.finish(context.expressions));

                        let accept = self.parse_block(lexer, context.reborrow(), false)?;

                        let mut elsif_stack = Vec::new();
                        let mut elseif_span_start = lexer.start_byte_offset();
                        let mut reject = loop {
                            if !lexer.skip(Token::Word("else")) {
                                break crate::Block::new();
                            }

                            if !lexer.skip(Token::Word("if")) {
                                // ... else { ... }
                                break self.parse_block(lexer, context.reborrow(), false)?;
                            }

                            // ... else if (...) { ... }
                            let mut sub_emitter = super::Emitter::default();

                            sub_emitter.start(context.expressions);
                            let other_condition = self.parse_general_expression(
                                lexer,
                                context.as_expression(block, &mut sub_emitter),
                            )?;
                            let other_emit = sub_emitter.finish(context.expressions);
                            let other_block = self.parse_block(lexer, context.reborrow(), false)?;
                            elsif_stack.push((
                                elseif_span_start,
                                other_condition,
                                other_emit,
                                other_block,
                            ));
                            elseif_span_start = lexer.start_byte_offset();
                        };

                        let span_end = lexer.end_byte_offset();
                        // reverse-fold the else-if blocks
                        //Note: we may consider uplifting this to the IR
                        for (other_span_start, other_cond, other_emit, other_block) in
                            elsif_stack.into_iter().rev()
                        {
                            let sub_stmt = crate::Statement::If {
                                condition: other_cond,
                                accept: other_block,
                                reject,
                            };
                            reject = crate::Block::new();
                            reject.extend(other_emit);
                            reject.push(sub_stmt, NagaSpan::from(other_span_start..span_end))
                        }

                        Some(crate::Statement::If {
                            condition,
                            accept,
                            reject,
                        })
                    }
                    "switch" => {
                        let _ = lexer.next();
                        emitter.start(context.expressions);
                        let selector = self.parse_general_expression(
                            lexer,
                            context.as_expression(block, &mut emitter),
                        )?;
                        let uint = Some(crate::ScalarKind::Uint)
                            == context
                                .as_expression(block, &mut emitter)
                                .resolve_type(selector)?
                                .scalar_kind();
                        block.extend(emitter.finish(context.expressions));
                        lexer.expect(Token::Paren('{'))?;
                        let mut cases = Vec::new();

                        loop {
                            // cases + default
                            match lexer.next() {
                                (Token::Word("case"), _) => {
                                    // parse a list of values
                                    let value = loop {
                                        let value = Self::parse_switch_value(lexer, uint)?;
                                        if lexer.skip(Token::Separator(',')) {
                                            if lexer.skip(Token::Separator(':')) {
                                                break value;
                                            }
                                        } else {
                                            lexer.skip(Token::Separator(':'));
                                            break value;
                                        }
                                        cases.push(crate::SwitchCase {
                                            value: crate::SwitchValue::Integer(value),
                                            body: crate::Block::new(),
                                            fall_through: true,
                                        });
                                    };

                                    let (fall_through, body) =
                                        self.parse_switch_case_body(lexer, context.reborrow())?;

                                    cases.push(crate::SwitchCase {
                                        value: crate::SwitchValue::Integer(value),
                                        body,
                                        fall_through,
                                    });
                                }
                                (Token::Word("default"), _) => {
                                    lexer.skip(Token::Separator(':'));
                                    let (fall_through, body) =
                                        self.parse_switch_case_body(lexer, context.reborrow())?;
                                    cases.push(crate::SwitchCase {
                                        value: crate::SwitchValue::Default,
                                        body,
                                        fall_through,
                                    });
                                }
                                (Token::Paren('}'), _) => break,
                                other => {
                                    return Err(Error::Unexpected(
                                        other.1,
                                        ExpectedToken::SwitchItem,
                                    ))
                                }
                            }
                        }

                        Some(crate::Statement::Switch { selector, cases })
                    }
                    "loop" => Some(self.parse_loop(lexer, context.reborrow(), &mut emitter)?),
                    "while" => {
                        let _ = lexer.next();
                        let mut body = crate::Block::new();

                        let (condition, span) = lexer.capture_span(|lexer| {
                            emitter.start(context.expressions);
                            let condition = self.parse_general_expression(
                                lexer,
                                context.as_expression(&mut body, &mut emitter),
                            )?;
                            lexer.expect(Token::Paren('{'))?;
                            body.extend(emitter.finish(context.expressions));
                            Ok(condition)
                        })?;
                        let mut reject = crate::Block::new();
                        reject.push(crate::Statement::Break, NagaSpan::default());
                        body.push(
                            crate::Statement::If {
                                condition,
                                accept: crate::Block::new(),
                                reject,
                            },
                            NagaSpan::from(span),
                        );
                        // Push a lexical scope for the while loop body
                        context.symbol_table.push_scope();

                        while !lexer.skip(Token::Paren('}')) {
                            self.parse_statement(lexer, context.reborrow(), &mut body, false)?;
                        }
                        // Pop the while loop body lexical scope
                        context.symbol_table.pop_scope();

                        Some(crate::Statement::Loop {
                            body,
                            continuing: crate::Block::new(),
                            break_if: None,
                        })
                    }
                    "for" => {
                        let _ = lexer.next();
                        lexer.expect(Token::Paren('('))?;
                        // Push a lexical scope for the for loop
                        context.symbol_table.push_scope();

                        if !lexer.skip(Token::Separator(';')) {
                            let num_statements = block.len();
                            let (_, span) = lexer.capture_span(|lexer| {
                                self.parse_statement(
                                    lexer,
                                    context.reborrow(),
                                    block,
                                    is_uniform_control_flow,
                                )
                            })?;

                            if block.len() != num_statements {
                                match *block.last().unwrap() {
                                    crate::Statement::Store { .. }
                                    | crate::Statement::Call { .. } => {}
                                    _ => return Err(Error::InvalidForInitializer(span)),
                                }
                            }
                        };

                        let mut body = crate::Block::new();
                        if !lexer.skip(Token::Separator(';')) {
                            let (condition, span) = lexer.capture_span(|lexer| {
                                emitter.start(context.expressions);
                                let condition = self.parse_general_expression(
                                    lexer,
                                    context.as_expression(&mut body, &mut emitter),
                                )?;
                                lexer.expect(Token::Separator(';'))?;
                                body.extend(emitter.finish(context.expressions));
                                Ok(condition)
                            })?;
                            let mut reject = crate::Block::new();
                            reject.push(crate::Statement::Break, NagaSpan::default());
                            body.push(
                                crate::Statement::If {
                                    condition,
                                    accept: crate::Block::new(),
                                    reject,
                                },
                                NagaSpan::from(span),
                            );
                        };

                        let mut continuing = crate::Block::new();
                        if !lexer.skip(Token::Paren(')')) {
                            match lexer.peek().0 {
                                Token::Word(ident)
                                    if context.symbol_table.lookup(ident).is_none() =>
                                {
                                    self.parse_function_statement(
                                        lexer,
                                        ident,
                                        context.as_expression(&mut continuing, &mut emitter),
                                    )?
                                }
                                _ => self.parse_assignment_statement(
                                    lexer,
                                    context.reborrow(),
                                    &mut continuing,
                                    &mut emitter,
                                )?,
                            }
                            lexer.expect(Token::Paren(')'))?;
                        }
                        lexer.expect(Token::Paren('{'))?;

                        while !lexer.skip(Token::Paren('}')) {
                            self.parse_statement(lexer, context.reborrow(), &mut body, false)?;
                        }
                        // Pop the for loop lexical scope
                        context.symbol_table.pop_scope();

                        Some(crate::Statement::Loop {
                            body,
                            continuing,
                            break_if: None,
                        })
                    }
                    "break" => {
                        let (_, mut span) = lexer.next();
                        // Check if the next token is an `if`, this indicates
                        // that the user tried to type out a `break if` which
                        // is illegal in this position.
                        let (peeked_token, peeked_span) = lexer.peek();
                        if let Token::Word("if") = peeked_token {
                            span.end = peeked_span.end;
                            return Err(Error::InvalidBreakIf(span));
                        }
                        Some(crate::Statement::Break)
                    }
                    "continue" => {
                        let _ = lexer.next();
                        Some(crate::Statement::Continue)
                    }
                    "discard" => {
                        let _ = lexer.next();
                        Some(crate::Statement::Kill)
                    }
                    "storageBarrier" => {
                        let _ = lexer.next();
                        lexer.expect(Token::Paren('('))?;
                        lexer.expect(Token::Paren(')'))?;
                        Some(crate::Statement::Barrier(crate::Barrier::STORAGE))
                    }
                    "workgroupBarrier" => {
                        let _ = lexer.next();
                        lexer.expect(Token::Paren('('))?;
                        lexer.expect(Token::Paren(')'))?;
                        Some(crate::Statement::Barrier(crate::Barrier::WORK_GROUP))
                    }
                    "atomicStore" => {
                        let _ = lexer.next();
                        emitter.start(context.expressions);
                        lexer.open_arguments()?;
                        let mut expression_ctx = context.as_expression(block, &mut emitter);
                        let pointer =
                            self.parse_atomic_pointer(lexer, expression_ctx.reborrow())?;
                        lexer.expect(Token::Separator(','))?;
                        let value = self.parse_general_expression(lexer, expression_ctx)?;
                        lexer.close_arguments()?;
                        block.extend(emitter.finish(context.expressions));
                        Some(crate::Statement::Store { pointer, value })
                    }
                    "textureStore" => {
                        let _ = lexer.next();
                        emitter.start(context.expressions);
                        lexer.open_arguments()?;
                        let mut expr_context = context.as_expression(block, &mut emitter);
                        let (image, image_span) = self
                            .parse_general_expression_with_span(lexer, expr_context.reborrow())?;
                        lexer.expect(Token::Separator(','))?;
                        let arrayed = match *expr_context.resolve_type(image)? {
                            crate::TypeInner::Image { arrayed, .. } => arrayed,
                            _ => return Err(Error::BadTexture(image_span)),
                        };
                        let coordinate = self.parse_general_expression(lexer, expr_context)?;
                        let array_index = if arrayed {
                            lexer.expect(Token::Separator(','))?;
                            Some(self.parse_general_expression(
                                lexer,
                                context.as_expression(block, &mut emitter),
                            )?)
                        } else {
                            None
                        };
                        lexer.expect(Token::Separator(','))?;
                        let value = self.parse_general_expression(
                            lexer,
                            context.as_expression(block, &mut emitter),
                        )?;
                        lexer.close_arguments()?;
                        block.extend(emitter.finish(context.expressions));
                        Some(crate::Statement::ImageStore {
                            image,
                            coordinate,
                            array_index,
                            value,
                        })
                    }
                    // assignment or a function call
                    ident => {
                        match context.symbol_table.lookup(ident) {
                            Some(_) => self.parse_assignment_statement(
                                lexer,
                                context,
                                block,
                                &mut emitter,
                            )?,
                            None => self.parse_function_statement(
                                lexer,
                                ident,
                                context.as_expression(block, &mut emitter),
                            )?,
                        }
                        lexer.expect(Token::Separator(';'))?;
                        None
                    }
                };
                let span = NagaSpan::from(self.pop_rule_span(lexer));
                if let Some(statement) = statement {
                    block.push(statement, span);
                }
            }
            _ => {
                let mut emitter = super::Emitter::default();
                self.parse_assignment_statement(lexer, context, block, &mut emitter)?;
                self.pop_rule_span(lexer);
            }
        }
        Ok(())
    }

    fn parse_loop<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut context: StatementContext<'a, '_, '_>,
        emitter: &mut super::Emitter,
    ) -> Result<crate::Statement, Error<'a>> {
        let _ = lexer.next();
        let mut body = crate::Block::new();
        let mut continuing = crate::Block::new();
        let mut break_if = None;

        // Push a lexical scope for the loop body
        context.symbol_table.push_scope();

        lexer.expect(Token::Paren('{'))?;

        loop {
            if lexer.skip(Token::Word("continuing")) {
                // Branch for the `continuing` block, this must be
                // the last thing in the loop body

                // Expect a opening brace to start the continuing block
                lexer.expect(Token::Paren('{'))?;
                loop {
                    if lexer.skip(Token::Word("break")) {
                        // Branch for the `break if` statement, this statement
                        // has the form `break if <expr>;` and must be the last
                        // statement in a continuing block

                        // The break must be followed by an `if` to form
                        // the break if
                        lexer.expect(Token::Word("if"))?;

                        // Start the emitter to begin parsing an expression
                        emitter.start(context.expressions);
                        let condition = self.parse_general_expression(
                            lexer,
                            context.as_expression(&mut body, emitter),
                        )?;
                        // Add all emits to the continuing body
                        continuing.extend(emitter.finish(context.expressions));
                        // Set the condition of the break if to the newly parsed
                        // expression
                        break_if = Some(condition);

                        // Expext a semicolon to close the statement
                        lexer.expect(Token::Separator(';'))?;
                        // Expect a closing brace to close the continuing block,
                        // since the break if must be the last statement
                        lexer.expect(Token::Paren('}'))?;
                        // Stop parsing the continuing block
                        break;
                    } else if lexer.skip(Token::Paren('}')) {
                        // If we encounter a closing brace it means we have reached
                        // the end of the continuing block and should stop processing
                        break;
                    } else {
                        // Otherwise try to parse a statement
                        self.parse_statement(lexer, context.reborrow(), &mut continuing, false)?;
                    }
                }
                // Since the continuing block must be the last part of the loop body,
                // we expect to see a closing brace to end the loop body
                lexer.expect(Token::Paren('}'))?;
                break;
            }
            if lexer.skip(Token::Paren('}')) {
                // If we encounter a closing brace it means we have reached
                // the end of the loop body and should stop processing
                break;
            }
            // Otherwise try to parse a statement
            self.parse_statement(lexer, context.reborrow(), &mut body, false)?;
        }

        // Pop the loop body lexical scope
        context.symbol_table.pop_scope();

        Ok(crate::Statement::Loop {
            body,
            continuing,
            break_if,
        })
    }

    fn parse_block<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        mut context: StatementContext<'a, '_, '_>,
        is_uniform_control_flow: bool,
    ) -> Result<crate::Block, Error<'a>> {
        self.push_rule_span(Rule::Block, lexer);
        // Push a lexical scope for the block
        context.symbol_table.push_scope();

        lexer.expect(Token::Paren('{'))?;
        let mut block = crate::Block::new();
        while !lexer.skip(Token::Paren('}')) {
            self.parse_statement(
                lexer,
                context.reborrow(),
                &mut block,
                is_uniform_control_flow,
            )?;
        }
        //Pop the block lexical scope
        context.symbol_table.pop_scope();

        self.pop_rule_span(lexer);
        Ok(block)
    }

    fn parse_varying_binding<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
    ) -> Result<Option<crate::Binding>, Error<'a>> {
        let mut bind_parser = BindingParser::default();
        self.push_rule_span(Rule::Attribute, lexer);

        while lexer.skip(Token::Attribute) {
            let (word, span) = lexer.next_ident_with_span()?;
            bind_parser.parse(lexer, word, span)?;
        }

        let span = self.pop_rule_span(lexer);
        bind_parser.finish(span)
    }

    fn parse_function_decl<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        module: &mut crate::Module,
        lookup_global_expression: &FastHashMap<&'a str, crate::Expression>,
    ) -> Result<(crate::Function, &'a str), Error<'a>> {
        self.push_rule_span(Rule::FunctionDecl, lexer);
        // read function name
        let mut symbol_table = super::SymbolTable::default();
        let (fun_name, span) = lexer.next_ident_with_span()?;
        if crate::keywords::wgsl::RESERVED.contains(&fun_name) {
            return Err(Error::ReservedKeyword(span));
        }
        if let Some(entry) = self
            .module_scope_identifiers
            .insert(String::from(fun_name), span.clone())
        {
            return Err(Error::Redefinition {
                previous: entry,
                current: span,
            });
        }
        // populate initial expressions
        let mut expressions = Arena::new();
        for (&name, expression) in lookup_global_expression.iter() {
            let (span, is_reference) = match *expression {
                crate::Expression::GlobalVariable(handle) => (
                    module.global_variables.get_span(handle),
                    module.global_variables[handle].space != crate::AddressSpace::Handle,
                ),
                crate::Expression::Constant(handle) => (module.constants.get_span(handle), false),
                _ => unreachable!(),
            };
            let expression = expressions.append(expression.clone(), span);
            symbol_table.add(
                name,
                TypedExpression {
                    handle: expression,
                    is_reference,
                },
            );
        }
        // read parameter list
        let mut arguments = Vec::new();
        lexer.expect(Token::Paren('('))?;
        let mut ready = true;
        while !lexer.skip(Token::Paren(')')) {
            if !ready {
                return Err(Error::Unexpected(
                    lexer.next().1,
                    ExpectedToken::Token(Token::Separator(',')),
                ));
            }
            let mut binding = self.parse_varying_binding(lexer)?;
            let (param_name, param_name_span, param_type) =
                self.parse_variable_ident_decl(lexer, &mut module.types, &mut module.constants)?;
            if crate::keywords::wgsl::RESERVED.contains(&param_name) {
                return Err(Error::ReservedKeyword(param_name_span));
            }
            let param_index = arguments.len() as u32;
            let expression = expressions.append(
                crate::Expression::FunctionArgument(param_index),
                NagaSpan::from(param_name_span),
            );
            symbol_table.add(
                param_name,
                TypedExpression {
                    handle: expression,
                    is_reference: false,
                },
            );
            if let Some(ref mut binding) = binding {
                binding.apply_default_interpolation(&module.types[param_type].inner);
            }
            arguments.push(crate::FunctionArgument {
                name: Some(param_name.to_string()),
                ty: param_type,
                binding,
            });
            ready = lexer.skip(Token::Separator(','));
        }
        // read return type
        let result = if lexer.skip(Token::Arrow) && !lexer.skip(Token::Word("void")) {
            let mut binding = self.parse_varying_binding(lexer)?;
            let ty = self.parse_type_decl(lexer, None, &mut module.types, &mut module.constants)?;
            if let Some(ref mut binding) = binding {
                binding.apply_default_interpolation(&module.types[ty].inner);
            }
            Some(crate::FunctionResult { ty, binding })
        } else {
            None
        };

        let mut fun = crate::Function {
            name: Some(fun_name.to_string()),
            arguments,
            result,
            local_variables: Arena::new(),
            expressions,
            named_expressions: crate::NamedExpressions::default(),
            body: crate::Block::new(),
        };

        // read body
        let mut typifier = super::Typifier::new();
        let mut named_expressions = crate::FastHashMap::default();
        fun.body = self.parse_block(
            lexer,
            StatementContext {
                symbol_table: &mut symbol_table,
                typifier: &mut typifier,
                variables: &mut fun.local_variables,
                expressions: &mut fun.expressions,
                named_expressions: &mut named_expressions,
                types: &mut module.types,
                constants: &mut module.constants,
                global_vars: &module.global_variables,
                functions: &module.functions,
                arguments: &fun.arguments,
            },
            true,
        )?;
        // fixup the IR
        ensure_block_returns(&mut fun.body);
        // done
        self.pop_rule_span(lexer);

        // Set named expressions after block parsing ends
        fun.named_expressions = named_expressions;

        Ok((fun, fun_name))
    }

    fn parse_global_decl<'a>(
        &mut self,
        lexer: &mut Lexer<'a>,
        module: &mut crate::Module,
        lookup_global_expression: &mut FastHashMap<&'a str, crate::Expression>,
    ) -> Result<bool, Error<'a>> {
        // read attributes
        let mut binding = None;
        let mut stage = None;
        let mut workgroup_size = [0u32; 3];
        let mut early_depth_test = None;
        let (mut bind_index, mut bind_group) = (None, None);

        self.push_rule_span(Rule::Attribute, lexer);
        while lexer.skip(Token::Attribute) {
            match lexer.next_ident_with_span()? {
                ("binding", _) => {
                    lexer.expect(Token::Paren('('))?;
                    bind_index = Some(Self::parse_non_negative_i32_literal(lexer)?);
                    lexer.expect(Token::Paren(')'))?;
                }
                ("group", _) => {
                    lexer.expect(Token::Paren('('))?;
                    bind_group = Some(Self::parse_non_negative_i32_literal(lexer)?);
                    lexer.expect(Token::Paren(')'))?;
                }
                ("vertex", _) => {
                    stage = Some(crate::ShaderStage::Vertex);
                }
                ("fragment", _) => {
                    stage = Some(crate::ShaderStage::Fragment);
                }
                ("compute", _) => {
                    stage = Some(crate::ShaderStage::Compute);
                }
                ("workgroup_size", _) => {
                    lexer.expect(Token::Paren('('))?;
                    workgroup_size = [1u32; 3];
                    for (i, size) in workgroup_size.iter_mut().enumerate() {
                        *size = Self::parse_generic_non_negative_int_literal(lexer)?;
                        match lexer.next() {
                            (Token::Paren(')'), _) => break,
                            (Token::Separator(','), _) if i != 2 => (),
                            other => {
                                return Err(Error::Unexpected(
                                    other.1,
                                    ExpectedToken::WorkgroupSizeSeparator,
                                ))
                            }
                        }
                    }
                }
                ("early_depth_test", _) => {
                    let conservative = if lexer.skip(Token::Paren('(')) {
                        let (ident, ident_span) = lexer.next_ident_with_span()?;
                        let value = conv::map_conservative_depth(ident, ident_span)?;
                        lexer.expect(Token::Paren(')'))?;
                        Some(value)
                    } else {
                        None
                    };
                    early_depth_test = Some(crate::EarlyDepthTest { conservative });
                }
                (_, word_span) => return Err(Error::UnknownAttribute(word_span)),
            }
        }

        let attrib_span = self.pop_rule_span(lexer);
        match (bind_group, bind_index) {
            (Some(group), Some(index)) => {
                binding = Some(crate::ResourceBinding {
                    group,
                    binding: index,
                });
            }
            (Some(_), None) => return Err(Error::MissingAttribute("binding", attrib_span)),
            (None, Some(_)) => return Err(Error::MissingAttribute("group", attrib_span)),
            (None, None) => {}
        }

        // read items
        let start = lexer.start_byte_offset();
        match lexer.next() {
            (Token::Separator(';'), _) => {}
            (Token::Word("struct"), _) => {
                let (name, span) = lexer.next_ident_with_span()?;
                if crate::keywords::wgsl::RESERVED.contains(&name) {
                    return Err(Error::ReservedKeyword(span));
                }
                let (members, span) =
                    self.parse_struct_body(lexer, &mut module.types, &mut module.constants)?;
                let type_span = NagaSpan::from(lexer.span_from(start));
                let ty = module.types.insert(
                    crate::Type {
                        name: Some(name.to_string()),
                        inner: crate::TypeInner::Struct { members, span },
                    },
                    type_span,
                );
                self.lookup_type.insert(name.to_owned(), ty);
            }
            (Token::Word("type"), _) => {
                let name = lexer.next_ident()?;
                lexer.expect(Token::Operation('='))?;
                let ty = self.parse_type_decl(
                    lexer,
                    Some(name),
                    &mut module.types,
                    &mut module.constants,
                )?;
                self.lookup_type.insert(name.to_owned(), ty);
                lexer.expect(Token::Separator(';'))?;
            }
            (Token::Word("let"), _) => {
                let (name, name_span) = lexer.next_ident_with_span()?;
                if crate::keywords::wgsl::RESERVED.contains(&name) {
                    return Err(Error::ReservedKeyword(name_span));
                }
                if let Some(entry) = self
                    .module_scope_identifiers
                    .insert(String::from(name), name_span.clone())
                {
                    return Err(Error::Redefinition {
                        previous: entry,
                        current: name_span,
                    });
                }
                let given_ty = if lexer.skip(Token::Separator(':')) {
                    let ty = self.parse_type_decl(
                        lexer,
                        None,
                        &mut module.types,
                        &mut module.constants,
                    )?;
                    Some(ty)
                } else {
                    None
                };

                lexer.expect(Token::Operation('='))?;
                let first_token_span = lexer.next();
                let const_handle = self.parse_const_expression_impl(
                    first_token_span,
                    lexer,
                    Some(name),
                    &mut module.types,
                    &mut module.constants,
                )?;

                if let Some(explicit_ty) = given_ty {
                    let con = &module.constants[const_handle];
                    let type_match = match con.inner {
                        crate::ConstantInner::Scalar { width, value } => {
                            module.types[explicit_ty].inner
                                == crate::TypeInner::Scalar {
                                    kind: value.scalar_kind(),
                                    width,
                                }
                        }
                        crate::ConstantInner::Composite { ty, components: _ } => ty == explicit_ty,
                    };
                    if !type_match {
                        let expected_inner_str = match con.inner {
                            crate::ConstantInner::Scalar { width, value } => {
                                crate::TypeInner::Scalar {
                                    kind: value.scalar_kind(),
                                    width,
                                }
                                .to_wgsl(&module.types, &module.constants)
                            }
                            crate::ConstantInner::Composite { .. } => module.types[explicit_ty]
                                .inner
                                .to_wgsl(&module.types, &module.constants),
                        };
                        return Err(Error::InitializationTypeMismatch(
                            name_span,
                            expected_inner_str,
                        ));
                    }
                }

                lexer.expect(Token::Separator(';'))?;
                lookup_global_expression.insert(name, crate::Expression::Constant(const_handle));
            }
            (Token::Word("var"), _) => {
                let pvar =
                    self.parse_variable_decl(lexer, &mut module.types, &mut module.constants)?;
                if crate::keywords::wgsl::RESERVED.contains(&pvar.name) {
                    return Err(Error::ReservedKeyword(pvar.name_span));
                }
                if let Some(entry) = self
                    .module_scope_identifiers
                    .insert(String::from(pvar.name), pvar.name_span.clone())
                {
                    return Err(Error::Redefinition {
                        previous: entry,
                        current: pvar.name_span,
                    });
                }
                let var_handle = module.global_variables.append(
                    crate::GlobalVariable {
                        name: Some(pvar.name.to_owned()),
                        space: pvar.space.unwrap_or(crate::AddressSpace::Handle),
                        binding: binding.take(),
                        ty: pvar.ty,
                        init: pvar.init,
                    },
                    NagaSpan::from(pvar.name_span),
                );
                lookup_global_expression
                    .insert(pvar.name, crate::Expression::GlobalVariable(var_handle));
            }
            (Token::Word("fn"), _) => {
                let (function, name) =
                    self.parse_function_decl(lexer, module, lookup_global_expression)?;
                match stage {
                    Some(stage) => module.entry_points.push(crate::EntryPoint {
                        name: name.to_string(),
                        stage,
                        early_depth_test,
                        workgroup_size,
                        function,
                    }),
                    None => {
                        module
                            .functions
                            .append(function, NagaSpan::from(lexer.span_from(start)));
                    }
                }
            }
            (Token::End, _) => return Ok(false),
            other => return Err(Error::Unexpected(other.1, ExpectedToken::GlobalItem)),
        }

        match binding {
            None => Ok(true),
            // we had the attribute but no var?
            Some(_) => Err(Error::Other),
        }
    }

    pub fn parse(&mut self, source: &str) -> Result<crate::Module, ParseError> {
        self.reset();

        let mut module = crate::Module::default();
        let mut lexer = Lexer::new(source);
        let mut lookup_global_expression = FastHashMap::default();
        loop {
            match self.parse_global_decl(&mut lexer, &mut module, &mut lookup_global_expression) {
                Err(error) => return Err(error.as_parse_error(lexer.source)),
                Ok(true) => {}
                Ok(false) => {
                    if !self.rules.is_empty() {
                        log::error!("Reached the end of file, but rule stack is not empty");
                        return Err(Error::Other.as_parse_error(lexer.source));
                    };
                    return Ok(module);
                }
            }
        }
    }
}

pub fn parse_str(source: &str) -> Result<crate::Module, ParseError> {
    Parser::new().parse(source)
}


================================================
FILE: lib/naga/src/front/wgsl/number.rs
================================================
use std::borrow::Cow;

use super::{NumberError, Token};

/// When using this type assume no Abstract Int/Float for now
#[derive(Copy, Clone, Debug, PartialEq)]
pub enum Number {
    /// Abstract Int (-2^63 ≤ i < 2^63)
    AbstractInt(i64),
    /// Abstract Float (IEEE-754 binary64)
    AbstractFloat(f64),
    /// Concrete i32
    I32(i32),
    /// Concrete u32
    U32(u32),
    /// Concrete f32
    F32(f32),
}

impl Number {
    /// Convert abstract numbers to a plausible concrete counterpart.
    ///
    /// Return concrete numbers unchanged. If the conversion would be
    /// lossy, return an error.
    fn abstract_to_concrete(self) -> Result<Number, NumberError> {
        match self {
            Number::AbstractInt(num) => {
                use std::convert::TryFrom;
                i32::try_from(num)
                    .map(Number::I32)
                    .map_err(|_| NumberError::NotRepresentable)
            }
            Number::AbstractFloat(num) => {
                let num = num as f32;
                if num.is_finite() {
                    Ok(Number::F32(num))
                } else {
                    Err(NumberError::NotRepresentable)
                }
            }
            num => Ok(num),
        }
    }
}

// TODO: when implementing Creation-Time Expressions, remove the ability to match the minus sign

pub(super) fn consume_number(input: &str) -> (Token<'_>, &str) {
    let (result, rest) = parse(input);
    (
        Token::Number(result.and_then(Number::abstract_to_concrete)),
        rest,
    )
}

enum Kind {
    Int(IntKind),
    Float(FloatKind),
}

enum IntKind {
    I32,
    U32,
}

enum FloatKind {
    F32,
    F16,
}

// The following regexes (from the WGSL spec) will be matched:

// int_literal:
// | / 0                                                                [iu]?   /
// | / [1-9][0-9]*                                                      [iu]?   /
// | / 0[xX][0-9a-fA-F]+                                                [iu]?   /

// decimal_float_literal:
// | / 0                                                                [fh]    /
// | / [1-9][0-9]*                                                      [fh]    /
// | / [0-9]*               \.[0-9]+            ([eE][+-]?[0-9]+)?      [fh]?   /
// | / [0-9]+               \.[0-9]*            ([eE][+-]?[0-9]+)?      [fh]?   /
// | / [0-9]+                                    [eE][+-]?[0-9]+        [fh]?   /

// hex_float_literal:
// | / 0[xX][0-9a-fA-F]*    \.[0-9a-fA-F]+      ([pP][+-]?[0-9]+        [fh]?)? /
// | / 0[xX][0-9a-fA-F]+    \.[0-9a-fA-F]*      ([pP][+-]?[0-9]+        [fh]?)? /
// | / 0[xX][0-9a-fA-F]+                         [pP][+-]?[0-9]+        [fh]?   /

// You could visualize the regex below via https://debuggex.com to get a rough idea what `parse` is doing
// -?(?:0[xX](?:([0-9a-fA-F]+\.[0-9a-fA-F]*|[0-9a-fA-F]*\.[0-9a-fA-F]+)(?:([pP][+-]?[0-9]+)([fh]?))?|([0-9a-fA-F]+)([pP][+-]?[0-9]+)([fh]?)|([0-9a-fA-F]+)([iu]?))|((?:[0-9]+[eE][+-]?[0-9]+|(?:[0-9]+\.[0-9]*|[0-9]*\.[0-9]+)(?:[eE][+-]?[0-9]+)?))([fh]?)|((?:[0-9]|[1-9][0-9]+))([iufh]?))

fn parse(input: &str) -> (Result<Number, NumberError>, &str) {
    /// returns `true` and consumes `X` bytes from the given byte buffer
    /// if the given `X` nr of patterns are found at the start of the buffer
    macro_rules! consume {
        ($bytes:ident, $($($pattern:pat)|*),*) => {
            match $bytes {
                &[$($($pattern)|*),*, ref rest @ ..] => { $bytes = rest; true },
                _ => false,
            }
        };
    }

    /// consumes one byte from the given byte buffer
    /// if one of the given patterns are found at the start of the buffer
    /// returning the corresponding expr for the matched pattern
    macro_rules! consume_map {
        ($bytes:ident, [$($($pattern:pat)|* => $to:expr),*]) => {
            match $bytes {
                $( &[$($pattern)|*, ref rest @ ..] => { $bytes = rest; Some($to) }, )*
                _ => None,
            }
        };
    }

    /// consumes all consecutive bytes matched by the `0-9` pattern from the given byte buffer
    /// returning the number of consumed bytes
    macro_rules! consume_dec_digits {
        ($bytes:ident) => {{
            let start_len = $bytes.len();
            while let &[b'0'..=b'9', ref rest @ ..] = $bytes {
                $bytes = rest;
            }
            start_len - $bytes.len()
        }};
    }

    /// consumes all consecutive bytes matched by the `0-9 | a-f | A-F` pattern from the given byte buffer
    /// returning the number of consumed bytes
    macro_rules! consume_hex_digits {
        ($bytes:ident) => {{
            let start_len = $bytes.len();
            while let &[b'0'..=b'9' | b'a'..=b'f' | b'A'..=b'F', ref rest @ ..] = $bytes {
                $bytes = rest;
            }
            start_len - $bytes.len()
        }};
    }

    /// maps the given `&[u8]` (tail of the initial `input: &str`) to a `&str`
    macro_rules! rest_to_str {
        ($bytes:ident) => {
            &input[input.len() - $bytes.len()..]
        };
    }

    struct ExtractSubStr<'a>(&'a str);

    impl<'a> ExtractSubStr<'a> {
        /// given an `input` and a `start` (tail of the `input`)
        /// creates a new [ExtractSubStr]
        fn start(input: &'a str, start: &'a [u8]) -> Self {
            let start = input.len() - start.len();
            Self(&input[start..])
        }
        /// given an `end` (tail of the initial `input`)
        /// returns a substring of `input`
        fn end(&self, end: &'a [u8]) -> &'a str {
            let end = self.0.len() - end.len();
            &self.0[..end]
        }
    }

    let mut bytes = input.as_bytes();

    let general_extract = ExtractSubStr::start(input, bytes);

    let is_negative = consume!(bytes, b'-');

    if consume!(bytes, b'0', b'x' | b'X') {
        let digits_extract = ExtractSubStr::start(input, bytes);

        let consumed = consume_hex_digits!(bytes);

        if consume!(bytes, b'.') {
            let consumed_after_period = consume_hex_digits!(bytes);

            if consumed + consumed_after_period == 0 {
                return (Err(NumberError::Invalid), rest_to_str!(bytes));
            }

            let significand = general_extract.end(bytes);

            if consume!(bytes, b'p' | b'P') {
                consume!(bytes, b'+' | b'-');
                let consumed = consume_dec_digits!(bytes);

                if consumed == 0 {
                    return (Err(NumberError::Invalid), rest_to_str!(bytes));
                }

                let number = general_extract.end(bytes);

                let kind = consume_map!(bytes, [b'f' => FloatKind::F32, b'h' => FloatKind::F16]);

                (parse_hex_float(number, kind), rest_to_str!(bytes))
            } else {
                (
                    parse_hex_float_missing_exponent(significand, None),
                    rest_to_str!(bytes),
                )
            }
        } else {
            if consumed == 0 {
                return (Err(NumberError::Invalid), rest_to_str!(bytes));
            }

            let significand = general_extract.end(bytes);
            let digits = digits_extract.end(bytes);

            let exp_extract = ExtractSubStr::start(input, bytes);

            if consume!(bytes, b'p' | b'P') {
                consume!(bytes, b'+' | b'-');
                let consumed = consume_dec_digits!(bytes);

                if consumed == 0 {
                    return (Err(NumberError::Invalid), rest_to_str!(bytes));
                }

                let exponent = exp_extract.end(bytes);

                let kind = consume_map!(bytes, [b'f' => FloatKind::F32, b'h' => FloatKind::F16]);

                (
                    parse_hex_float_missing_period(significand, exponent, kind),
                    rest_to_str!(bytes),
                )
            } else {
                let kind = consume_map!(bytes, [b'i' => IntKind::I32, b'u' => IntKind::U32]);

                (
                    parse_hex_int(is_negative, digits, kind),
                    rest_to_str!(bytes),
                )
            }
        }
    } else {
        let is_first_zero = bytes.first() == Some(&b'0');

        let consumed = consume_dec_digits!(bytes);

        if consume!(bytes, b'.') {
            let consumed_after_period = consume_dec_digits!(bytes);

            if consumed + consumed_after_period == 0 {
                return (Err(NumberError::Invalid), rest_to_str!(bytes));
            }

            if consume!(bytes, b'e' | b'E') {
                consume!(bytes, b'+' | b'-');
                let consumed = consume_dec_digits!(bytes);

                if consumed == 0 {
                    return (Err(NumberError::Invalid), rest_to_str!(bytes));
                }
            }

            let number = general_extract.end(bytes);

            let kind = consume_map!(bytes, [b'f' => FloatKind::F32, b'h' => FloatKind::F16]);

            (parse_dec_float(number, kind), rest_to_str!(bytes))
        } else {
            if consumed == 0 {
                return (Err(NumberError::Invalid), rest_to_str!(bytes));
            }

            if consume!(bytes, b'e' | b'E') {
                consume!(bytes, b'+' | b'-');
                let consumed = consume_dec_digits!(bytes);

                if consumed == 0 {
                    return (Err(NumberError::Invalid), rest_to_str!(bytes));
                }

                let number = general_extract.end(bytes);

                let kind = consume_map!(bytes, [b'f' => FloatKind::F32, b'h' => FloatKind::F16]);

                (parse_dec_float(number, kind), rest_to_str!(bytes))
            } else {
                // make sure the multi-digit numbers don't start with zero
                if consumed > 1 && is_first_zero {
                    return (Err(NumberError::Invalid), rest_to_str!(bytes));
                }

                let digits_with_sign = general_extract.end(bytes);

                let kind = consume_map!(bytes, [
                    b'i' => Kind::Int(IntKind::I32),
                    b'u' => Kind::Int(IntKind::U32),
                    b'f' => Kind::Float(FloatKind::F32),
                    b'h' => Kind::Float(FloatKind::F16)
                ]);

                (
                    parse_dec(is_negative, digits_with_sign, kind),
                    rest_to_str!(bytes),
                )
            }
        }
    }
}

fn parse_hex_float_missing_exponent(
    // format: -?0[xX] ( [0-9a-fA-F]+\.[0-9a-fA-F]* | [0-9a-fA-F]*\.[0-9a-fA-F]+ )
    significand: &str,
    kind: Option<FloatKind>,
) -> Result<Number, NumberError> {
    let hexf_input = format!("{}{}", significand, "p0");
    parse_hex_float(&hexf_input, kind)
}

fn parse_hex_float_missing_period(
    // format: -?0[xX] [0-9a-fA-F]+
    significand: &str,
    // format: [pP][+-]?[0-9]+
    exponent: &str,
    kind: Option<FloatKind>,
) -> Result<Number, NumberError> {
    let hexf_input = format!("{}.{}", significand, exponent);
    parse_hex_float(&hexf_input, kind)
}

fn parse_hex_int(
    is_negative: bool,
    // format: [0-9a-fA-F]+
    digits: &str,
    kind: Option<IntKind>,
) -> Result<Number, NumberError> {
    let digits_with_sign = if is_negative {
        Cow::Owned(format!("-{}", digits))
    } else {
        Cow::Borrowed(digits)
    };
    parse_int(&digits_with_sign, kind, 16, is_negative)
}

fn parse_dec(
    is_negative: bool,
    // format: -? ( [0-9] | [1-9][0-9]+ )
    digits_with_sign: &str,
    kind: Option<Kind>,
) -> Result<Number, NumberError> {
    match kind {
        None => parse_int(digits_with_sign, None, 10, is_negative),
        Some(Kind::Int(kind)) => parse_int(digits_with_sign, Some(kind), 10, is_negative),
        Some(Kind::Float(kind)) => parse_dec_float(digits_with_sign, Some(kind)),
    }
}

// Float parsing notes

// The following chapters of IEEE 754-2019 are relevant:
//
// 7.4 Overflow (largest finite number is exceeded by what would have been
//     the rounded floating-point result were the exponent range unbounded)
//
// 7.5 Underflow (tiny non-zero result is detected;
//     for decimal formats tininess is detected before rounding when a non-zero result
//     computed as though both the exponent range and the precision were unbounded
//     would lie strictly between 2^−126)
//
// 7.6 Inexact (rounded result differs from what would have been computed
//     were both exponent range and precision unbounded)

// The WGSL spec requires us to error:
//   on overflow for decimal floating point literals
//   on overflow and inexact for hexadecimal floating point literals
// (underflow is not mentioned)

// hexf_parse errors on overflow, underflow, inexact
// rust std lib float from str handles overflow, underflow, inexact transparently (rounds and will not error)

// Therefore we only check for overflow manually for decimal floating point literals

// input format: -?0[xX] ( [0-9a-fA-F]+\.[0-9a-fA-F]* | [0-9a-fA-F]*\.[0-9a-fA-F]+ ) [pP][+-]?[0-9]+
fn parse_hex_float(input: &str, kind: Option<FloatKind>) -> Result<Number, NumberError> {
    match kind {
        None => match hexf_parse::parse_hexf64(input, false) {
            Ok(num) => Ok(Number::AbstractFloat(num)),
            // can only be ParseHexfErrorKind::Inexact but we can't check since it's private
            _ => Err(NumberError::NotRepresentable),
        },
        Some(FloatKind::F32) => match hexf_parse::parse_hexf32(input, false) {
            Ok(num) => Ok(Number::F32(num)),
            // can only be ParseHexfErrorKind::Inexact but we can't check since it's private
            _ => Err(NumberError::NotRepresentable),
        },
        Some(FloatKind::F16) => Err(NumberError::UnimplementedF16),
    }
}

// input format: -? ( [0-9]+\.[0-9]* | [0-9]*\.[0-9]+ ) ([eE][+-]?[0-9]+)?
//             | -? [0-9]+ [eE][+-]?[0-9]+
fn parse_dec_float(input: &str, kind: Option<FloatKind>) -> Result<Number, NumberError> {
    match kind {
        None => {
            let num = input.parse::<f64>().unwrap(); // will never fail
            num.is_finite()
                .then(|| Number::AbstractFloat(num))
                .ok_or(NumberError::NotRepresentable)
        }
        Some(FloatKind::F32) => {
            let num = input.parse::<f32>().unwrap(); // will never fail
            num.is_finite()
                .then(|| Number::F32(num))
                .ok_or(NumberError::NotRepresentable)
        }
        Some(FloatKind::F16) => Err(NumberError::UnimplementedF16),
    }
}

fn parse_int(
    input: &str,
    kind: Option<IntKind>,
    radix: u32,
    is_negative: bool,
) -> Result<Number, NumberError> {
    fn map_err(e: core::num::ParseIntError) -> NumberError {
        match *e.kind() {
            core::num::IntErrorKind::PosOverflow | core::num::IntErrorKind::NegOverflow => {
                NumberError::NotRepresentable
            }
            _ => unreachable!(),
        }
    }
    match kind {
        None => match i64::from_str_radix(input, radix) {
            Ok(num) => Ok(Number::AbstractInt(num)),
            Err(e) => Err(map_err(e)),
        },
        Some(IntKind::I32) => match i32::from_str_radix(input, radix) {
            Ok(num) => Ok(Number::I32(num)),
            Err(e) => Err(map_err(e)),
        },
        Some(IntKind::U32) if is_negative => Err(NumberError::NotRepresentable),
        Some(IntKind::U32) => match u32::from_str_radix(input, radix) {
            Ok(num) => Ok(Number::U32(num)),
            Err(e) => Err(map_err(e)),
        },
    }
}


================================================
FILE: lib/naga/src/front/wgsl/tests.rs
================================================
use super::parse_str;

#[test]
fn parse_comment() {
    parse_str(
        "//
        ////
        ///////////////////////////////////////////////////////// asda
        //////////////////// dad ////////// /
        /////////////////////////////////////////////////////////////////////////////////////////////////////
        //
    ",
    )
    .unwrap();
}

#[test]
fn parse_types() {
    parse_str("let a : i32 = 2;").unwrap();
    assert!(parse_str("let a : x32 = 2;").is_err());
    parse_str("var t: texture_2d<f32>;").unwrap();
    parse_str("var t: texture_cube_array<i32>;").unwrap();
    parse_str("var t: texture_multisampled_2d<u32>;").unwrap();
    parse_str("var t: texture_storage_1d<rgba8uint,write>;").unwrap();
    parse_str("var t: texture_storage_3d<r32float,read>;").unwrap();
}

#[test]
fn parse_type_inference() {
    parse_str(
        "
        fn foo() {
            let a = 2u;
            let b: u32 = a;
            var x = 3.;
            var y = vec2<f32>(1, 2);
        }",
    )
    .unwrap();
    assert!(parse_str(
        "
        fn foo() { let c : i32 = 2.0; }",
    )
    .is_err());
}

#[test]
fn parse_type_cast() {
    parse_str(
        "
        let a : i32 = 2;
        fn main() {
            var x: f32 = f32(a);
            x = f32(i32(a + 1) / 2);
        }
    ",
    )
    .unwrap();
    parse_str(
        "
        fn main() {
            let x: vec2<f32> = vec2<f32>(1.0, 2.0);
            let y: vec2<u32> = vec2<u32>(x);
        }
    ",
    )
    .unwrap();
    parse_str(
        "
        fn main() {
            let x: vec2<f32> = vec2<f32>(0.0);
        }
    ",
    )
    .unwrap();
    assert!(parse_str(
        "
        fn main() {
            let x: vec2<f32> = vec2<f32>(0);
        }
    ",
    )
    .is_err());
}

#[test]
fn parse_struct() {
    parse_str(
        "
        struct Foo { x: i32 }
        struct Bar {
            @size(16) x: vec2<i32>,
            @align(16) y: f32,
            @size(32) @align(128) z: vec3<f32>,
        };
        struct Empty {}
        var<storage,read_write> s: Foo;
    ",
    )
    .unwrap();
}

#[test]
fn parse_standard_fun() {
    parse_str(
        "
        fn main() {
            var x: i32 = min(max(1, 2), 3);
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_statement() {
    parse_str(
        "
        fn main() {
            ;
            {}
            {;}
        }
    ",
    )
    .unwrap();

    parse_str(
        "
        fn foo() {}
        fn bar() { foo(); }
    ",
    )
    .unwrap();
}

#[test]
fn parse_if() {
    parse_str(
        "
        fn main() {
            if true {
                discard;
            } else {}
            if 0 != 1 {}
            if false {
                return;
            } else if true {
                return;
            } else {}
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_parentheses_if() {
    parse_str(
        "
        fn main() {
            if (true) {
                discard;
            } else {}
            if (0 != 1) {}
            if (false) {
                return;
            } else if (true) {
                return;
            } else {}
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_loop() {
    parse_str(
        "
        fn main() {
            var i: i32 = 0;
            loop {
                if i == 1 { break; }
                continuing { i = 1; }
            }
            loop {
                if i == 0 { continue; }
                break;
            }
        }
    ",
    )
    .unwrap();
    parse_str(
        "
        fn main() {
            var found: bool = false;
            var i: i32 = 0;
            while !found {
                if i == 10 {
                    found = true;
                }

                i = i + 1;
            }
        }
    ",
    )
    .unwrap();
    parse_str(
        "
        fn main() {
            while true {
                break;
            }
        }
    ",
    )
    .unwrap();
    parse_str(
        "
        fn main() {
            var a: i32 = 0;
            for(var i: i32 = 0; i < 4; i = i + 1) {
                a = a + 2;
            }
        }
    ",
    )
    .unwrap();
    parse_str(
        "
        fn main() {
            for(;;) {
                break;
            }
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_switch() {
    parse_str(
        "
        fn main() {
            var pos: f32;
            switch (3) {
                case 0, 1: { pos = 0.0; }
                case 2: { pos = 1.0; fallthrough; }
                case 3: {}
                default: { pos = 3.0; }
            }
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_switch_optional_colon_in_case() {
    parse_str(
        "
        fn main() {
            var pos: f32;
            switch (3) {
                case 0, 1 { pos = 0.0; }
                case 2 { pos = 1.0; fallthrough; }
                case 3 {}
                default { pos = 3.0; }
            }
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_parentheses_switch() {
    parse_str(
        "
        fn main() {
            var pos: f32;
            switch pos > 1.0 {
                default: { pos = 3.0; }
            }
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_texture_load() {
    parse_str(
        "
        var t: texture_3d<u32>;
        fn foo() {
            let r: vec4<u32> = textureLoad(t, vec3<u32>(0.0, 1.0, 2.0), 1);
        }
    ",
    )
    .unwrap();
    parse_str(
        "
        var t: texture_multisampled_2d_array<i32>;
        fn foo() {
            let r: vec4<i32> = textureLoad(t, vec2<i32>(10, 20), 2, 3);
        }
    ",
    )
    .unwrap();
    parse_str(
        "
        var t: texture_storage_1d_array<r32float,read>;
        fn foo() {
            let r: vec4<f32> = textureLoad(t, 10, 2);
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_texture_store() {
    parse_str(
        "
        var t: texture_storage_2d<rgba8unorm,write>;
        fn foo() {
            textureStore(t, vec2<i32>(10, 20), vec4<f32>(0.0, 1.0, 2.0, 3.0));
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_texture_query() {
    parse_str(
        "
        var t: texture_multisampled_2d_array<f32>;
        fn foo() {
            var dim: vec2<i32> = textureDimensions(t);
            dim = textureDimensions(t, 0);
            let layers: i32 = textureNumLayers(t);
            let samples: i32 = textureNumSamples(t);
        }
    ",
    )
    .unwrap();
}

#[test]
fn parse_postfix() {
    parse_str(
        "fn foo() {
        let x: f32 = vec4<f32>(1.0, 2.0, 3.0, 4.0).xyz.rgbr.aaaa.wz.g;
        let y: f32 = fract(vec2<f32>(0.5, x)).x;
    }",
    )
    .unwrap();
}

#[test]
fn parse_expressions() {
    parse_str("fn foo() {
        let x: f32 = select(0.0, 1.0, true);
        let y: vec2<f32> = select(vec2<f32>(1.0, 1.0), vec2<f32>(x, x), vec2<bool>(x < 0.5, x > 0.5));
        let z: bool = !(0.0 == 1.0);
    }").unwrap();
}

#[test]
fn parse_pointers() {
    parse_str(
        "fn foo() {
        var x: f32 = 1.0;
        let px = &x;
        let py = frexp(0.5, px);
    }",
    )
    .unwrap();
}

#[test]
fn parse_struct_instantiation() {
    parse_str(
        "
    struct Foo {
        a: f32,
        b: vec3<f32>,
    }

    @fragment
    fn fs_main() {
        var foo: Foo = Foo(0.0, vec3<f32>(0.0, 1.0, 42.0));
    }
    ",
    )
    .unwrap();
}

#[test]
fn parse_array_length() {
    parse_str(
        "
        struct Foo {
            data: array<u32>
        } // this is used as both input and output for convenience

        @group(0) @binding(0)
        var<storage> foo: Foo;

        @group(0) @binding(1)
        var<storage> bar: array<u32>;

        fn baz() {
            var x: u32 = arrayLength(foo.data);
            var y: u32 = arrayLength(bar);
        }
        ",
    )
    .unwrap();
}

#[test]
fn parse_storage_buffers() {
    parse_str(
        "
        @group(0) @binding(0)
        var<storage> foo: array<u32>;
        ",
    )
    .unwrap();
    parse_str(
        "
        @group(0) @binding(0)
        var<storage,read> foo: array<u32>;
        ",
    )
    .unwrap();
    parse_str(
        "
        @group(0) @binding(0)
        var<storage,write> foo: array<u32>;
        ",
    )
    .unwrap();
    parse_str(
        "
        @group(0) @binding(0)
        var<storage,read_write> foo: array<u32>;
        ",
    )
    .unwrap();
}


================================================
FILE: lib/naga/src/keywords/mod.rs
================================================
/*!
Lists of reserved keywords for each shading language with a [frontend][crate::front] or [backend][crate::back].
*/

#[cfg(any(feature = "wgsl-in", feature = "wgsl-out"))]
pub mod wgsl;


================================================
FILE: lib/naga/src/keywords/wgsl.rs
================================================
/*!
Keywords for [WGSL][wgsl] (WebGPU Shading Language).

[wgsl]: https://gpuweb.github.io/gpuweb/wgsl.html
*/

// https://gpuweb.github.io/gpuweb/wgsl/#keyword-summary
pub const RESERVED: &[&str] = &[
    // type-defining
    "array",
    "atomic",
    "bool",
    "f32",
    "f16",
    "i32",
    "mat2x2",
    "mat2x3",
    "mat2x4",
    "mat3x2",
    "mat3x3",
    "mat3x4",
    "mat4x2",
    "mat4x3",
    "mat4x4",
    "override",
    "ptr",
    "sampler",
    "sampler_comparison",
    "struct",
    "texture_1d",
    "texture_2d",
    "texture_2d_array",
    "texture_3d",
    "texture_cube",
    "texture_cube_array",
    "texture_multisampled_2d",
    "texture_storage_1d",
    "texture_storage_2d",
    "texture_storage_2d_array",
    "texture_storage_3d",
    "texture_depth_2d",
    "texture_depth_2d_array",
    "texture_depth_cube",
    "texture_depth_cube_array",
    "texture_depth_multisampled_2d",
    "u32",
    "vec2",
    "vec3",
    "vec4",
    // other
    "bitcast",
    "break",
    "case",
    "const",
    "continue",
    "continuing",
    "default",
    "discard",
    "else",
    "enable",
    "fallthrough",
    "false",
    "fn",
    "for",
    "function",
    "if",
    "let",
    "loop",
    "private",
    "return",
    "storage",
    "switch",
    "true",
    "type",
    "uniform",
    "var",
    "while",
    "workgroup",
    // reserved
    "AppendStructuredBuffer",
    "BlendState",
    "Buffer",
    "ByteAddressBuffer",
    "CompileShader",
    "ComputeShader",
    "ConsumeStructuredBuffer",
    "DepthStencilState",
    "DepthStencilView",
    "DomainShader",
    "GeometryShader",
    "Hullshader",
    "InputPatch",
    "LineStream",
    "NULL",
    "OutputPatch",
    "PixelShader",
    "PointStream",
    "RWBuffer",
    "RWByteAddressBuffer",
    "RWStructuredBuffer",
    "RWTexture1D",
    "RWTexture1DArray",
    "RWTexture2D",
    "RWTexture2DArray",
    "RWTexture3D",
    "RasterizerState",
    "RenderTargetView",
    "SamplerComparisonState",
    "SamplerState",
    "Self",
    "StructuredBuffer",
    "Texture1D",
    "Texture1DArray",
    "Texture2D",
    "Texture2DArray",
    "Texture2DMS",
    "Texture2DMSArray",
    "Texture3D",
    "TextureCube",
    "TextureCubeArray",
    "TriangleStream",
    "VertexShader",
    "abstract",
    "active",
    "alignas",
    "alignof",
    "as",
    "asm",
    "asm_fragment",
    "async",
    "atomic_uint",
    "attribute",
    "auto",
    "await",
    "become",
    "bf16",
    "binding_array",
    "cast",
    "catch",
    "cbuffer",
    "char",
    "class",
    "co_await",
    "co_return",
    "co_yield",
    "coherent",
    "column_major",
    "common",
    "compile",
    "compile_fragment",
    "concept",
    "const_cast",
    "consteval",
    "constexpr",
    "constinit",
    "crate",
    "debugger",
    "decltype",
    "delete",
    "demote",
    "demote_to_helper",
    "do",
    "dword",
    "dynamic_cast",
    "enum",
    "explicit",
    "export",
    "extends",
    "extern",
    "external",
    "f64",
    "filter",
    "final",
    "finally",
    "fixed",
    "friend",
    "from",
    "fvec2",
    "fvec3",
    "fvec4",
    "fxgroup",
    "get",
    "goto",
    "groupshared",
    "handle",
    "highp",
    "hvec2",
    "hvec3",
    "hvec4",
    "i16",
    "i64",
    "i8",
    "iimage1D",
    "iimage1DArray",
    "iimage2D",
    "iimage2DArray",
    "iimage2DMS",
    "iimage2DMSArray",
    "iimage2DRect",
    "iimage3D",
    "iimageBuffer",
    "iimageCube",
    "iimageCubeArray",
    "image1D",
    "image1DArray",
    "image2D",
    "image2DArray",
    "image2DMS",
    "image2DMSArray",
    "image2DRect",
    "image3D",
    "imageBuffer",
    "imageCube",
    "imageCubeArray",
    "impl",
    "implements",
    "import",
    "inline",
    "inout",
    "instanceof",
    "interface",
    "invariant",
    "isampler1D",
    "isampler1DArray",
    "isampler2D",
    "isampler2DArray",
    "isampler2DMS",
    "isampler2DMSArray",
    "isampler2DRect",
    "isampler3D",
    "isamplerBuffer",
    "isamplerCube",
    "isamplerCubeArray",
    "isubpassInput",
    "isubpassInputMS",
    "itexture1D",
    "itexture1DArray",
    "itexture2D",
    "itexture2DArray",
    "itexture2DMS",
    "itexture2DMSArray",
    "itexture2DRect",
    "itexture3D",
    "itextureBuffer",
    "itextureCube",
    "itextureCubeArray",
    "layout",
    "line",
    "lineadj",
    "lowp",
    "macro",
    "macro_rules",
    "mat",
    "match",
    "matrix",
    "mediump",
    "meta",
    "mod",
    "module",
    "move",
    "mut",
    "mutable",
    "namespace",
    "new",
    "nil",
    "noexcept",
    "noinline",
    "nointerpolation",
    "noperspective",
    "null",
    "nullptr",
    "of",
    "operator",
    "package",
    "packoffset",
    "partition",
    "pass",
    "patch",
    "pixelfragment",
    "point",
    "precise",
    "precision",
    "premerge",
    "priv",
    "protected",
    "pub",
    "public",
    "readonly",
    "ref",
    "regardless",
    "register",
    "reinterpret_cast",
    "requires",
    "resource",
    "restrict",
    "row_major",
    "samper",
    "sampler1D",
    "sampler1DArray",
    "sampler1DArrayShadow",
    "sampler1DShadow",
    "sampler2D",
    "sampler2DArray",
    "sampler2DArrayShadow",
    "sampler2DMS",
    "sampler2DMSArray",
    "sampler2DRect",
    "sampler2DRectShadow",
    "sampler2DShadow",
    "sampler3D",
    "sampler3DRect",
    "samplerBuffer",
    "samplerCube",
    "samplerCubeArray",
    "samplerCubeArrayShadow",
    "samplerCubeShadow",
    "samplerShadow",
    "self",
    "set",
    "shared",
    "signed",
    "sizeof",
    "smooth",
    "snorm",
    "stateblock",
    "stateblock_state",
    "static",
    "static_assert",
    "static_cast",
    "std",
    "string",
    "subpassInput",
    "subpassInputMS",
    "subroutine",
    "super",
    "superp",
    "target",
    "tbuffer",
    "technique",
    "technique10",
    "technique11",
    "template",
    "texture1D",
    "texture1DArray",
    "texture2D",
    "texture2DArray",
    "texture2DMS",
    "texture2DMSArray",
    "texture2DRect",
    "texture3D",
    "textureBuffer",
    "textureCube",
    "textureCubeArray",
    "this",
    "thread_local",
    "throw",
    "trait",
    "triangle",
    "triangleadj",
    "try",
    "typedef",
    "typeid",
    "typename",
    "typeof",
    "u16",
    "u64",
    "u8",
    "uimage1D",
    "uimage1DArray",
    "uimage2D",
    "uimage2DArray",
    "uimage2DMS",
    "uimage2DMSArray",
    "uimage2DRect",
    "uimage3D",
    "uimageBuffer",
    "uimageCube",
    "uimageCubeArray",
    "union",
    "unless",
    "unorm",
    "unsafe",
    "unsigned",
    "unsized",
    "usampler1D",
    "usampler1DArray",
    "usampler2D",
    "usampler2DArray",
    "usampler2DMS",
    "usampler2DMSArray",
    "usampler2DRect",
    "usampler3D",
    "usamplerBuffer",
    "usamplerCube",
    "usamplerCubeArray",
    "use",
    "using",
    "usubpassInput",
    "usubpassInputMS",
    "utexture1D",
    "utexture1DArray",
    "utexture2D",
    "utexture2DArray",
    "utexture2DMS",
    "utexture2DMSArray",
    "utexture2DRect",
    "utexture3D",
    "utextureBuffer",
    "utextureCube",
    "utextureCubeArray",
    "varying",
    "vec",
    "vector",
    "vertexfragment",
    "virtual",
    "void",
    "volatile",
    "wchar_t",
    "wgsl",
    "where",
    "with",
    "writeonly",
    "yield",
];


================================================
FILE: lib/naga/src/lib.rs
================================================
/*! Universal shader translator.

The central structure of the crate is [`Module`]. A `Module` contains:

- [`Function`]s, which have arguments, a return type, local variables, and a body,

- [`EntryPoint`]s, which are specialized functions that can serve as the entry
  point for pipeline stages like vertex shading or fragment shading,

- [`Constant`]s and [`GlobalVariable`]s used by `EntryPoint`s and `Function`s, and

- [`Type`]s used by the above.

The body of an `EntryPoint` or `Function` is represented using two types:

- An [`Expression`] produces a value, but has no side effects or control flow.
  `Expressions` include variable references, unary and binary operators, and so
  on.

- A [`Statement`] can have side effects and structured control flow.
  `Statement`s do not produce a value, other than by storing one in some
  designated place. `Statements` include blocks, conditionals, and loops, but also
  operations that have side effects, like stores and function calls.

`Statement`s form a tree, with pointers into the DAG of `Expression`s.

Restricting side effects to statements simplifies analysis and code generation.
A Naga backend can generate code to evaluate an `Expression` however and
whenever it pleases, as long as it is certain to observe the side effects of all
previously executed `Statement`s.

Many `Statement` variants use the [`Block`] type, which is `Vec<Statement>`,
with optional span info, representing a series of statements executed in order. The body of an
`EntryPoint`s or `Function` is a `Block`, and `Statement` has a
[`Block`][Statement::Block] variant.

If the `clone` feature is enabled, [`Arena`], [`UniqueArena`], [`Type`], [`TypeInner`],
[`Constant`], [`Function`], [`EntryPoint`] and [`Module`] can be cloned.

## Arenas

To improve translator performance and reduce memory usage, most structures are
stored in an [`Arena`]. An `Arena<T>` stores a series of `T` values, indexed by
[`Handle<T>`](Handle) values, which are just wrappers around integer indexes.
For example, a `Function`'s expressions are stored in an `Arena<Expression>`,
and compound expressions refer to their sub-expressions via `Handle<Expression>`
values. (When examining the serialized form of a `Module`, note that the first
element of an `Arena` has an index of 1, not 0.)

A [`UniqueArena`] is just like an `Arena`, except that it stores only a single
instance of each value. The value type must implement `Eq` and `Hash`. Like an
`Arena`, inserting a value into a `UniqueArena` returns a `Handle` which can be
used to efficiently access the value, without a hash lookup. Inserting a value
multiple times returns the same `Handle`.

If the `span` feature is enabled, both `Arena` and `UniqueArena` can associate a
source code span with each element.

## Function Calls

Naga's representation of function calls is unusual. Most languages treat
function calls as expressions, but because calls may have side effects, Naga
represents them as a kind of statement, [`Statement::Call`]. If the function
returns a value, a call statement designates a particular [`Expression::CallResult`]
expression to represent its return value, for use by subsequent statements and
expressions.

## `Expression` evaluation time

It is essential to know when an [`Expression`] should be evaluated, because its
value may depend on previous [`Statement`]s' effects. But whereas the order of
execution for a tree of `Statement`s is apparent from its structure, it is not
so clear for `Expressions`, since an expression may be referred to by any number
of `Statement`s and other `Expression`s.

Naga's rules for when `Expression`s are evaluated are as follows:

-   [`Constant`](Expression::Constant) expressions are considered to be
    implicitly evaluated before execution begins.

-   [`FunctionArgument`] and [`LocalVariable`] expressions are considered
    implicitly evaluated upon entry to the function to which they belong.
    Function arguments cannot be assigned to, and `LocalVariable` expressions
    produce a *pointer to* the variable's value (for use with [`Load`] and
    [`Store`]). Neither varies while the function executes, so it suffices to
    consider these expressions evaluated once on entry.

-   Similarly, [`GlobalVariable`] expressions are considered implicitly
    evaluated before execution begins, since their value does not change while
    code executes, for one of two reasons:

    -   Most `GlobalVariable` expressions produce a pointer to the variable's
        value, for use with [`Load`] and [`Store`], as `LocalVariable`
        expressions do. Although the variable's value may change, its address
        does not.

    -   A `GlobalVariable` expression referring to a global in the
        [`AddressSpace::Handle`] address space produces the value directly, not
        a pointer. Such global variables hold opaque types like shaders or
        images, and cannot be assigned to.

-   A [`CallResult`] expression that is the `result` of a [`Statement::Call`],
    representing the call's return value, is evaluated when the `Call` statement
    is executed.

-   Similarly, an [`AtomicResult`] expression that is the `result` of an
    [`Atomic`] statement, representing the result of the atomic operation, is
    evaluated when the `Atomic` statement is executed.

-   All other expressions are evaluated when the (unique) [`Statement::Emit`]
    statement that covers them is executed. The [`Expression::needs_pre_emit`]
    method returns `true` if the given expression is one of those variants that
    does *not* need to be covered by an `Emit` statement.

Now, strictly speaking, not all `Expression` variants actually care when they're
evaluated. For example, you can evaluate a [`BinaryOperator::Add`] expression
any time you like, as long as you give it the right operands. It's really only a
very small set of expressions that are affected by timing:

-   [`Load`], [`ImageSample`], and [`ImageLoad`] expressions are influenced by
    stores to the variables or images they access, and must execute at the
    proper time relative to them.

-   [`Derivative`] expressions are sensitive to control flow uniformity: they
    must not be moved out of an area of uniform control flow into a non-uniform
    area.

-   More generally, any expression that's used by more than one other expression
    or statement should probably be evaluated only once, and then stored in a
    variable to be cited at each point of use.

Naga tries to help back ends handle all these cases correctly in a somewhat
circuitous way. The [`ModuleInfo`] structure returned by [`Validator::validate`]
provides a reference count for each expression in each function in the module.
Naturally, any expression with a reference count of two or more deserves to be
evaluated and stored in a temporary variable at the point that the `Emit`
statement covering it is executed. But if we selectively lower the reference
count threshold to _one_ for the sensitive expression types listed above, so
that we _always_ generate a temporary variable and save their value, then the
same code that manages multiply referenced expressions will take care of
introducing temporaries for time-sensitive expressions as well. The
`Expression::bake_ref_count` method (private to the back ends) is meant to help
with this.

## `Expression` scope

Each `Expression` has a *scope*, which is the region of the function within
which it can be used by `Statement`s and other `Expression`s. It is a validation
error to use an `Expression` outside its scope.

An expression's scope is defined as follows:

-   The scope of a [`Constant`], [`GlobalVariable`], [`FunctionArgument`] or
    [`LocalVariable`] expression covers the entire `Function` in which it
    occurs.

-   The scope of an expression evaluated by an [`Emit`] statement covers the
    subsequent expressions in that `Emit`, the subsequent statements in the `Block`
    to which that `Emit` belongs (if any) and their sub-statements (if any).

-   The `result` expression of a [`Call`] or [`Atomic`] statement has a scope
    covering the subsequent statements in the `Block` in which the statement
    occurs (if any) and their sub-statements (if any).

For example, this implies that an expression evaluated by some statement in a
nested `Block` is not available in the `Block`'s parents. Such a value would
need to be stored in a local variable to be carried upwards in the statement
tree.

[`AtomicResult`]: Expression::AtomicResult
[`CallResult`]: Expression::CallResult
[`Constant`]: Expression::Constant
[`Derivative`]: Expression::Derivative
[`FunctionArgument`]: Expression::FunctionArgument
[`GlobalVariable`]: Expression::GlobalVariable
[`ImageLoad`]: Expression::ImageLoad
[`ImageSample`]: Expression::ImageSample
[`Load`]: Expression::Load
[`LocalVariable`]: Expression::LocalVariable

[`Atomic`]: Statement::Atomic
[`Call`]: Statement::Call
[`Emit`]: Statement::Emit
[`Store`]: Statement::Store

[`Validator::validate`]: valid::Validator::validate
[`ModuleInfo`]: valid::ModuleInfo
*/

#![allow(
    clippy::new_without_default,
    clippy::unneeded_field_pattern,
    clippy::match_like_matches_macro,
    clippy::if_same_then_else,
    clippy::derive_partial_eq_without_eq
)]
#![warn(
    trivial_casts,
    trivial_numeric_casts,
    unused_extern_crates,
    unused_qualifications,
    clippy::pattern_type_mismatch,
    clippy::missing_const_for_fn
)]
#![deny(clippy::panic)]

mod arena;
pub mod back;
mod block;
pub mod front;
pub mod keywords;
pub mod proc;
mod span;
pub mod valid;

pub use crate::arena::{Arena, Handle, Range, UniqueArena};

pub use crate::span::{SourceLocation, Span, SpanContext, WithSpan};
#[cfg(feature = "arbitrary")]
use arbitrary::Arbitrary;
#[cfg(feature = "deserialize")]
use serde::Deserialize;
#[cfg(feature = "serialize")]
use serde::Serialize;

/// Width of a boolean type, in bytes.
pub const BOOL_WIDTH: Bytes = 1;

/// Hash map that is faster but not resilient to DoS attacks.
pub type FastHashMap<K, T> = rustc_hash::FxHashMap<K, T>;
/// Hash set that is faster but not resilient to DoS attacks.
pub type FastHashSet<K> = rustc_hash::FxHashSet<K>;

/// Map of expressions that have associated variable names
pub(crate) type NamedExpressions = FastHashMap<Handle<Expression>, String>;

/// Early fragment tests.
///
/// In a standard situation, if a driver determines that it is possible to switch on early depth test, it will.
///
/// Typical situations when early depth test is switched off:
///   - Calling `discard` in a shader.
///   - Writing to the depth buffer, unless ConservativeDepth is enabled.
///
/// To use in a shader:
///   - GLSL: `layout(early_fragment_tests) in;`
///   - HLSL: `Attribute earlydepthstencil`
///   - SPIR-V: `ExecutionMode EarlyFragmentTests`
///
/// For more, see:
///   - <https://www.khronos.org/opengl/wiki/Early_Fragment_Test#Explicit_specification>
///   - <https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/sm5-attributes-earlydepthstencil>
///   - <https://www.khronos.org/registry/SPIR-V/specs/unified1/SPIRV.html#Execution_Mode>
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct EarlyDepthTest {
    conservative: Option<ConservativeDepth>,
}
/// Enables adjusting depth without disabling early Z.
///
/// To use in a shader:
///   - GLSL: `layout (depth_<greater/less/unchanged/any>) out float gl_FragDepth;`
///     - `depth_any` option behaves as if the layout qualifier was not present.
///   - HLSL: `SV_DepthGreaterEqual`/`SV_DepthLessEqual`/`SV_Depth`
///   - SPIR-V: `ExecutionMode Depth<Greater/Less/Unchanged>`
///
/// For more, see:
///   - <https://www.khronos.org/registry/OpenGL/extensions/ARB/ARB_conservative_depth.txt>
///   - <https://docs.microsoft.com/en-us/windows/win32/direct3dhlsl/dx-graphics-hlsl-semantics#system-value-semantics>
///   - <https://www.khronos.org/registry/SPIR-V/specs/unified1/SPIRV.html#Execution_Mode>
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum ConservativeDepth {
    /// Shader may rewrite depth only with a value greater than calculated.
    GreaterEqual,

    /// Shader may rewrite depth smaller than one that would have been written without the modification.
    LessEqual,

    /// Shader may not rewrite depth value.
    Unchanged,
}

/// Stage of the programmable pipeline.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
#[allow(missing_docs)] // The names are self evident
pub enum ShaderStage {
    Vertex,
    Fragment,
    Compute,
}

/// Addressing space of variables.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum AddressSpace {
    /// Function locals.
    Function,
    /// Private data, per invocation, mutable.
    Private,
    /// Workgroup shared data, mutable.
    WorkGroup,
    /// Uniform buffer data.
    Uniform,
    /// Storage buffer data, potentially mutable.
    Storage { access: StorageAccess },
    /// Opaque handles, such as samplers and images.
    Handle,
    /// Push constants.
    PushConstant,
}

/// Built-in inputs and outputs.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum BuiltIn {
    Position { invariant: bool },
    ViewIndex,
    // vertex
    BaseInstance,
    BaseVertex,
    ClipDistance,
    CullDistance,
    InstanceIndex,
    PointSize,
    VertexIndex,
    // fragment
    FragDepth,
    FrontFacing,
    PrimitiveIndex,
    SampleIndex,
    SampleMask,
    // compute
    GlobalInvocationId,
    LocalInvocationId,
    LocalInvocationIndex,
    WorkGroupId,
    WorkGroupSize,
    NumWorkGroups,
}

/// Number of bytes per scalar.
pub type Bytes = u8;

/// Number of components in a vector.
#[repr(u8)]
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum VectorSize {
    /// 2D vector
    Bi = 2,
    /// 3D vector
    Tri = 3,
    /// 4D vector
    Quad = 4,
}

/// Primitive type for a scalar.
#[repr(u8)]
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum ScalarKind {
    /// Signed integer type.
    Sint,
    /// Unsigned integer type.
    Uint,
    /// Floating point type.
    Float,
    /// Boolean type.
    Bool,
}

/// Size of an array.
#[repr(u8)]
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum ArraySize {
    /// The array size is constant.
    Constant(Handle<Constant>),
    /// The array size can change at runtime.
    Dynamic,
}

/// The interpolation qualifier of a binding or struct field.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum Interpolation {
    /// The value will be interpolated in a perspective-correct fashion.
    /// Also known as "smooth" in glsl.
    Perspective,
    /// Indicates that linear, non-perspective, correct
    /// interpolation must be used.
    /// Also known as "no_perspective" in glsl.
    Linear,
    /// Indicates that no interpolation will be performed.
    Flat,
}

/// The sampling qualifiers of a binding or struct field.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum Sampling {
    /// Interpolate the value at the center of the pixel.
    Center,

    /// Interpolate the value at a point that lies within all samples covered by
    /// the fragment within the current primitive. In multisampling, use a
    /// single value for all samples in the primitive.
    Centroid,

    /// Interpolate the value at each sample location. In multisampling, invoke
    /// the fragment shader once per sample.
    Sample,
}

/// Member of a user-defined structure.
// Clone is used only for error reporting and is not intended for end users
#[derive(Clone, Debug, Eq, Hash, PartialEq)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct StructMember {
    pub name: Option<String>,
    /// Type of the field.
    pub ty: Handle<Type>,
    /// For I/O structs, defines the binding.
    pub binding: Option<Binding>,
    /// Offset from the beginning from the struct.
    pub offset: u32,
}

/// The number of dimensions an image has.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum ImageDimension {
    /// 1D image
    D1,
    /// 2D image
    D2,
    /// 3D image
    D3,
    /// Cube map
    Cube,
}

bitflags::bitflags! {
    /// Flags describing an image.
    #[cfg_attr(feature = "serialize", derive(Serialize))]
    #[cfg_attr(feature = "deserialize", derive(Deserialize))]
    #[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
    #[derive(Default)]
    pub struct StorageAccess: u32 {
        /// Storage can be used as a source for load ops.
        const LOAD = 0x1;
        /// Storage can be used as a target for store ops.
        const STORE = 0x2;
    }
}

/// Image storage format.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum StorageFormat {
    // 8-bit formats
    R8Unorm,
    R8Snorm,
    R8Uint,
    R8Sint,

    // 16-bit formats
    R16Uint,
    R16Sint,
    R16Float,
    Rg8Unorm,
    Rg8Snorm,
    Rg8Uint,
    Rg8Sint,

    // 32-bit formats
    R32Uint,
    R32Sint,
    R32Float,
    Rg16Uint,
    Rg16Sint,
    Rg16Float,
    Rgba8Unorm,
    Rgba8Snorm,
    Rgba8Uint,
    Rgba8Sint,

    // Packed 32-bit formats
    Rgb10a2Unorm,
    Rg11b10Float,

    // 64-bit formats
    Rg32Uint,
    Rg32Sint,
    Rg32Float,
    Rgba16Uint,
    Rgba16Sint,
    Rgba16Float,

    // 128-bit formats
    Rgba32Uint,
    Rgba32Sint,
    Rgba32Float,
}

/// Sub-class of the image type.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum ImageClass {
    /// Regular sampled image.
    Sampled {
        /// Kind of values to sample.
        kind: ScalarKind,
        /// Multi-sampled image.
        ///
        /// A multi-sampled image holds several samples per texel. Multi-sampled
        /// images cannot have mipmaps.
        multi: bool,
    },
    /// Depth comparison image.
    Depth {
        /// Multi-sampled depth image.
        multi: bool,
    },
    /// Storage image.
    Storage {
        format: StorageFormat,
        access: StorageAccess,
    },
}

/// A data type declared in the module.
#[derive(Debug, Eq, Hash, PartialEq)]
#[cfg_attr(feature = "clone", derive(Clone))]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct Type {
    /// The name of the type, if any.
    pub name: Option<String>,
    /// Inner structure that depends on the kind of the type.
    pub inner: TypeInner,
}

/// Enum with additional information, depending on the kind of type.
#[derive(Debug, Eq, Hash, PartialEq)]
#[cfg_attr(feature = "clone", derive(Clone))]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum TypeInner {
    /// Number of integral or floating-point kind.
    Scalar { kind: ScalarKind, width: Bytes },
    /// Vector of numbers.
    Vector {
        size: VectorSize,
        kind: ScalarKind,
        width: Bytes,
    },
    /// Matrix of floats.
    Matrix {
        columns: VectorSize,
        rows: VectorSize,
        width: Bytes,
    },
    /// Atomic scalar.
    Atomic { kind: ScalarKind, width: Bytes },
    /// Pointer to another type.
    ///
    /// Pointers to scalars and vectors should be treated as equivalent to
    /// [`ValuePointer`] types. Use the [`TypeInner::equivalent`] method to
    /// compare types in a way that treats pointers correctly.
    ///
    /// ## Pointers to non-`SIZED` types
    ///
    /// The `base` type of a pointer may be a non-[`SIZED`] type like a
    /// dynamically-sized [`Array`], or a [`Struct`] whose last member is a
    /// dynamically sized array. Such pointers occur as the types of
    /// [`GlobalVariable`] or [`AccessIndex`] expressions referring to
    /// dynamically-sized arrays.
    ///
    /// However, among pointers to non-`SIZED` types, only pointers to `Struct`s
    /// are [`DATA`]. Pointers to dynamically sized `Array`s cannot be passed as
    /// arguments, stored in variables, or held in arrays or structures. Their
    /// only use is as the types of `AccessIndex` expressions.
    ///
    /// [`SIZED`]: valid::TypeFlags::SIZED
    /// [`DATA`]: valid::TypeFlags::DATA
    /// [`Array`]: TypeInner::Array
    /// [`Struct`]: TypeInner::Struct
    /// [`ValuePointer`]: TypeInner::ValuePointer
    /// [`GlobalVariable`]: Expression::GlobalVariable
    /// [`AccessIndex`]: Expression::AccessIndex
    Pointer {
        base: Handle<Type>,
        space: AddressSpace,
    },

    /// Pointer to a scalar or vector.
    ///
    /// A `ValuePointer` type is equivalent to a `Pointer` whose `base` is a
    /// `Scalar` or `Vector` type. This is for use in [`TypeResolution::Value`]
    /// variants; see the documentation for [`TypeResolution`] for details.
    ///
    /// Use the [`TypeInner::equivalent`] method to compare types that could be
    /// pointers, to ensure that `Pointer` and `ValuePointer` types are
    /// recognized as equivalent.
    ///
    /// [`TypeResolution`]: proc::TypeResolution
    /// [`TypeResolution::Value`]: proc::TypeResolution::Value
    ValuePointer {
        size: Option<VectorSize>,
        kind: ScalarKind,
        width: Bytes,
        space: AddressSpace,
    },

    /// Homogenous list of elements.
    ///
    /// The `base` type must be a [`SIZED`], [`DATA`] type.
    ///
    /// ## Dynamically sized arrays
    ///
    /// An `Array` is [`SIZED`] unless its `size` is [`Dynamic`].
    /// Dynamically-sized arrays may only appear in a few situations:
    ///
    /// -   They may appear as the type of a [`GlobalVariable`], or as the last
    ///     member of a [`Struct`].
    ///
    /// -   They may appear as the base type of a [`Pointer`]. An
    ///     [`AccessIndex`] expression referring to a struct's final
    ///     unsized array member would have such a pointer type. However, such
    ///     pointer types may only appear as the types of such intermediate
    ///     expressions. They are not [`DATA`], and cannot be stored in
    ///     variables, held in arrays or structs, or passed as parameters.
    ///
    /// [`SIZED`]: crate::valid::TypeFlags::SIZED
    /// [`DATA`]: crate::valid::TypeFlags::DATA
    /// [`Dynamic`]: ArraySize::Dynamic
    /// [`Struct`]: TypeInner::Struct
    /// [`Pointer`]: TypeInner::Pointer
    /// [`AccessIndex`]: Expression::AccessIndex
    Array {
        base: Handle<Type>,
        size: ArraySize,
        stride: u32,
    },

    /// User-defined structure.
    ///
    /// There must always be at least one member.
    ///
    /// A `Struct` type is [`DATA`], and the types of its members must be
    /// `DATA` as well.
    ///
    /// Member types must be [`SIZED`], except for the final member of a
    /// struct, which may be a dynamically sized [`Array`]. The
    /// `Struct` type itself is `SIZED` when all its members are `SIZED`.
    ///
    /// [`DATA`]: crate::valid::TypeFlags::DATA
    /// [`SIZED`]: crate::valid::TypeFlags::SIZED
    /// [`Array`]: TypeInner::Array
    Struct {
        members: Vec<StructMember>,
        //TODO: should this be unaligned?
        span: u32,
    },
    /// Possibly multidimensional array of texels.
    Image {
        dim: ImageDimension,
        arrayed: bool,
        //TODO: consider moving `multisampled: bool` out
        class: ImageClass,
    },
    /// Can be used to sample values from images.
    Sampler { comparison: bool },

    /// Array of bindings.
    ///
    /// A `BindingArray` represents an array where each element draws its value
    /// from a separate bound resource. The array's element type `base` may be
    /// [`Image`], [`Sampler`], or any type that would be permitted for a global
    /// in the [`Uniform`] or [`Storage`] address spaces. Only global variables
    /// may be binding arrays; on the host side, their values are provided by
    /// [`TextureViewArray`], [`SamplerArray`], or [`BufferArray`]
    /// bindings.
    ///
    /// Since each element comes from a distinct resource, a binding array of
    /// images could have images of varying sizes (but not varying dimensions;
    /// they must all have the same `Image` type). Or, a binding array of
    /// buffers could have elements that are dynamically sized arrays, each with
    /// a different length.
    ///
    /// Binding arrays are not [`DATA`]. This means that all binding array
    /// globals must be placed in the [`Handle`] address space. Referring to
    /// such a global produces a `BindingArray` value directly; there are never
    /// pointers to binding arrays. The only operation permitted on
    /// `BindingArray` values is indexing, which yields the element by value,
    /// not a pointer to the element. (This means that buffer array contents
    /// cannot be stored to; [naga#1864] covers lifting this restriction.)
    ///
    /// Unlike textures and samplers, binding arrays are not [`ARGUMENT`], so
    /// they cannot be passed as arguments to functions.
    ///
    /// Naga's WGSL front end supports binding arrays with the type syntax
    /// `binding_array<T, N>`.
    ///
    /// [`Image`]: TypeInner::Image
    /// [`Sampler`]: TypeInner::Sampler
    /// [`Uniform`]: AddressSpace::Uniform
    /// [`Storage`]: AddressSpace::Storage
    /// [`TextureViewArray`]: https://docs.rs/wgpu/latest/wgpu/enum.BindingResource.html#variant.TextureViewArray
    /// [`SamplerArray`]: https://docs.rs/wgpu/latest/wgpu/enum.BindingResource.html#variant.SamplerArray
    /// [`BufferArray`]: https://docs.rs/wgpu/latest/wgpu/enum.BindingResource.html#variant.BufferArray
    /// [`DATA`]: crate::valid::TypeFlags::DATA
    /// [`Handle`]: AddressSpace::Handle
    /// [`ARGUMENT`]: crate::valid::TypeFlags::ARGUMENT
    /// [naga#1864]: https://github.com/gfx-rs/naga/issues/1864
    BindingArray { base: Handle<Type>, size: ArraySize },
}

/// Constant value.
#[derive(Debug, PartialEq)]
#[cfg_attr(feature = "clone", derive(Clone))]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct Constant {
    pub name: Option<String>,
    pub specialization: Option<u32>,
    pub inner: ConstantInner,
}

/// A literal scalar value, used in constants.
#[derive(Debug, Clone, Copy, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum ScalarValue {
    Sint(i64),
    Uint(u64),
    Float(f64),
    Bool(bool),
}

/// Additional information, dependent on the kind of constant.
#[derive(Clone, Debug, PartialEq)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum ConstantInner {
    Scalar {
        width: Bytes,
        value: ScalarValue,
    },
    Composite {
        ty: Handle<Type>,
        components: Vec<Handle<Constant>>,
    },
}

/// Describes how an input/output variable is to be bound.
#[derive(Clone, Debug, Eq, PartialEq, Hash)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum Binding {
    /// Built-in shader variable.
    BuiltIn(BuiltIn),

    /// Indexed location.
    ///
    /// Values passed from the [`Vertex`] stage to the [`Fragment`] stage must
    /// have their `interpolation` defaulted (i.e. not `None`) by the front end
    /// as appropriate for that language.
    ///
    /// For other stages, we permit interpolations even though they're ignored.
    /// When a front end is parsing a struct type, it usually doesn't know what
    /// stages will be using it for IO, so it's easiest if it can apply the
    /// defaults to anything with a `Location` binding, just in case.
    ///
    /// For anything other than floating-point scalars and vectors, the
    /// interpolation must be `Flat`.
    ///
    /// [`Vertex`]: crate::ShaderStage::Vertex
    /// [`Fragment`]: crate::ShaderStage::Fragment
    Location {
        location: u32,
        interpolation: Option<Interpolation>,
        sampling: Option<Sampling>,
    },
}

/// Pipeline binding information for global resources.
#[derive(Clone, Debug, Eq, Hash, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct ResourceBinding {
    /// The bind group index.
    pub group: u32,
    /// Binding number within the group.
    pub binding: u32,
}

/// Variable defined at module level.
#[derive(Clone, Debug, PartialEq)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct GlobalVariable {
    /// Name of the variable, if any.
    pub name: Option<String>,
    /// How this variable is to be stored.
    pub space: AddressSpace,
    /// For resources, defines the binding point.
    pub binding: Option<ResourceBinding>,
    /// The type of this variable.
    pub ty: Handle<Type>,
    /// Initial value for this variable.
    pub init: Option<Handle<Constant>>,
}

/// Variable defined at function level.
#[derive(Clone, Debug)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct LocalVariable {
    /// Name of the variable, if any.
    pub name: Option<String>,
    /// The type of this variable.
    pub ty: Handle<Type>,
    /// Initial value for this variable.
    pub init: Option<Handle<Constant>>,
}

/// Operation that can be applied on a single value.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum UnaryOperator {
    Negate,
    Not,
}

/// Operation that can be applied on two values.
///
/// ## Arithmetic type rules
///
/// The arithmetic operations `Add`, `Subtract`, `Multiply`, `Divide`, and
/// `Modulo` can all be applied to [`Scalar`] types other than [`Bool`], or
/// [`Vector`]s thereof. Both operands must have the same type.
///
/// `Add` and `Subtract` can also be applied to [`Matrix`] values. Both operands
/// must have the same type.
///
/// `Multiply` supports additional cases:
///
/// -   A [`Matrix`] or [`Vector`] can be multiplied by a scalar [`Float`],
///     either on the left or the right.
///
/// -   A [`Matrix`] on the left can be multiplied by a [`Vector`] on the right
///     if the matrix has as many columns as the vector has components (`matCxR
///     * VecC`).
///
/// -   A [`Vector`] on the left can be multiplied by a [`Matrix`] on the right
///     if the matrix has as many rows as the vector has components (`VecR *
///     matCxR`).
///
/// -   Two matrices can be multiplied if the left operand has as many columns
///     as the right operand has rows (`matNxR * matCxN`).
///
/// In all the above `Multiply` cases, the byte widths of the underlying scalar
/// types of both operands must be the same.
///
/// Note that `Multiply` supports mixed vector and scalar operations directly,
/// whereas the other arithmetic operations require an explicit [`Splat`] for
/// mixed-type use.
///
/// [`Scalar`]: TypeInner::Scalar
/// [`Vector`]: TypeInner::Vector
/// [`Matrix`]: TypeInner::Matrix
/// [`Float`]: ScalarKind::Float
/// [`Bool`]: ScalarKind::Bool
/// [`Splat`]: Expression::Splat
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum BinaryOperator {
    Add,
    Subtract,
    Multiply,
    Divide,
    /// Equivalent of the WGSL's `%` operator or SPIR-V's `OpFRem`
    Modulo,
    Equal,
    NotEqual,
    Less,
    LessEqual,
    Greater,
    GreaterEqual,
    And,
    ExclusiveOr,
    InclusiveOr,
    LogicalAnd,
    LogicalOr,
    ShiftLeft,
    /// Right shift carries the sign of signed integers only.
    ShiftRight,
}

/// Function on an atomic value.
///
/// Note: these do not include load/store, which use the existing
/// [`Expression::Load`] and [`Statement::Store`].
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum AtomicFunction {
    Add,
    Subtract,
    And,
    ExclusiveOr,
    InclusiveOr,
    Min,
    Max,
    Exchange { compare: Option<Handle<Expression>> },
}

/// Axis on which to compute a derivative.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum DerivativeAxis {
    X,
    Y,
    Width,
}

/// Built-in shader function for testing relation between values.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum RelationalFunction {
    All,
    Any,
    IsNan,
    IsInf,
    IsFinite,
    IsNormal,
}

/// Built-in shader function for math.
#[derive(Clone, Copy, Debug, Hash, Eq, Ord, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum MathFunction {
    // comparison
    Abs,
    Min,
    Max,
    Clamp,
    Saturate,
    // trigonometry
    Cos,
    Cosh,
    Sin,
    Sinh,
    Tan,
    Tanh,
    Acos,
    Asin,
    Atan,
    Atan2,
    Asinh,
    Acosh,
    Atanh,
    Radians,
    Degrees,
    // decomposition
    Ceil,
    Floor,
    Round,
    Fract,
    Trunc,
    Modf,
    Frexp,
    Ldexp,
    // exponent
    Exp,
    Exp2,
    Log,
    Log2,
    Pow,
    // geometry
    Dot,
    Outer,
    Cross,
    Distance,
    Length,
    Normalize,
    FaceForward,
    Reflect,
    Refract,
    // computational
    Sign,
    Fma,
    Mix,
    Step,
    SmoothStep,
    Sqrt,
    InverseSqrt,
    Inverse,
    Transpose,
    Determinant,
    // bits
    CountOneBits,
    ReverseBits,
    ExtractBits,
    InsertBits,
    FindLsb,
    FindMsb,
    // data packing
    Pack4x8snorm,
    Pack4x8unorm,
    Pack2x16snorm,
    Pack2x16unorm,
    Pack2x16float,
    // data unpacking
    Unpack4x8snorm,
    Unpack4x8unorm,
    Unpack2x16snorm,
    Unpack2x16unorm,
    Unpack2x16float,
}

/// Sampling modifier to control the level of detail.
#[derive(Clone, Copy, Debug, PartialEq)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum SampleLevel {
    Auto,
    Zero,
    Exact(Handle<Expression>),
    Bias(Handle<Expression>),
    Gradient {
        x: Handle<Expression>,
        y: Handle<Expression>,
    },
}

/// Type of an image query.
#[derive(Clone, Copy, Debug, PartialEq)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum ImageQuery {
    /// Get the size at the specified level.
    Size {
        /// If `None`, the base level is considered.
        level: Option<Handle<Expression>>,
    },
    /// Get the number of mipmap levels.
    NumLevels,
    /// Get the number of array layers.
    NumLayers,
    /// Get the number of samples.
    NumSamples,
}

/// Component selection for a vector swizzle.
#[repr(u8)]
#[derive(Clone, Copy, Debug, PartialEq, PartialOrd)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum SwizzleComponent {
    ///
    X = 0,
    ///
    Y = 1,
    ///
    Z = 2,
    ///
    W = 3,
}

bitflags::bitflags! {
    /// Memory barrier flags.
    #[cfg_attr(feature = "serialize", derive(Serialize))]
    #[cfg_attr(feature = "deserialize", derive(Deserialize))]
    #[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
    #[derive(Default)]
    pub struct Barrier: u32 {
        /// Barrier affects all `AddressSpace::Storage` accesses.
        const STORAGE = 0x1;
        /// Barrier affects all `AddressSpace::WorkGroup` accesses.
        const WORK_GROUP = 0x2;
    }
}

/// An expression that can be evaluated to obtain a value.
///
/// This is a Single Static Assignment (SSA) scheme similar to SPIR-V.
#[derive(Clone, Debug)]
#[cfg_attr(test, derive(PartialEq))]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum Expression {
    /// Array access with a computed index.
    ///
    /// ## Typing rules
    ///
    /// The `base` operand must be some composite type: [`Vector`], [`Matrix`],
    /// [`Array`], a [`Pointer`] to one of those, or a [`ValuePointer`] with a
    /// `size`.
    ///
    /// The `index` operand must be an integer, signed or unsigned.
    ///
    /// Indexing a [`Vector`] or [`Array`] produces a value of its element type.
    /// Indexing a [`Matrix`] produces a [`Vector`].
    ///
    /// Indexing a [`Pointer`] to any of the above produces a pointer to the
    /// element/component type, in the same [`space`]. In the case of [`Array`],
    /// the result is an actual [`Pointer`], but for vectors and matrices, there
    /// may not be any type in the arena representing the component's type, so
    /// those produce [`ValuePointer`] types equivalent to the appropriate
    /// [`Pointer`].
    ///
    /// ## Dynamic indexing restrictions
    ///
    /// To accommodate restrictions in some of the shader languages that Naga
    /// targets, it is not permitted to subscript a matrix or array with a
    /// dynamically computed index unless that matrix or array appears behind a
    /// pointer. In other words, if the inner type of `base` is [`Array`] or
    /// [`Matrix`], then `index` must be a constant. But if the type of `base`
    /// is a [`Pointer`] to an array or matrix or a [`ValuePointer`] with a
    /// `size`, then the index may be any expression of integer type.
    ///
    /// You can use the [`Expression::is_dynamic_index`] method to determine
    /// whether a given index expression requires matrix or array base operands
    /// to be behind a pointer.
    ///
    /// (It would be simpler to always require the use of `AccessIndex` when
    /// subscripting arrays and matrices that are not behind pointers, but to
    /// accommodate existing front ends, Naga also permits `Access`, with a
    /// restricted `index`.)
    ///
    /// [`Vector`]: TypeInner::Vector
    /// [`Matrix`]: TypeInner::Matrix
    /// [`Array`]: TypeInner::Array
    /// [`Pointer`]: TypeInner::Pointer
    /// [`space`]: TypeInner::Pointer::space
    /// [`ValuePointer`]: TypeInner::ValuePointer
    /// [`Float`]: ScalarKind::Float
    Access {
        base: Handle<Expression>,
        index: Handle<Expression>,
    },
    /// Access the same types as [`Access`], plus [`Struct`] with a known index.
    ///
    /// [`Access`]: Expression::Access
    /// [`Struct`]: TypeInner::Struct
    AccessIndex {
        base: Handle<Expression>,
        index: u32,
    },
    /// Constant value.
    Constant(Handle<Constant>),
    /// Splat scalar into a vector.
    Splat {
        size: VectorSize,
        value: Handle<Expression>,
    },
    /// Vector swizzle.
    Swizzle {
        size: VectorSize,
        vector: Handle<Expression>,
        pattern: [SwizzleComponent; 4],
    },
    /// Composite expression.
    Compose {
        ty: Handle<Type>,
        components: Vec<Handle<Expression>>,
    },

    /// Reference a function parameter, by its index.
    ///
    /// A `FunctionArgument` expression evaluates to a pointer to the argument's
    /// value. You must use a [`Load`] expression to retrieve its value, or a
    /// [`Store`] statement to assign it a new value.
    ///
    /// [`Load`]: Expression::Load
    /// [`Store`]: Statement::Store
    FunctionArgument(u32),

    /// Reference a global variable.
    ///
    /// If the given `GlobalVariable`'s [`space`] is [`AddressSpace::Handle`],
    /// then the variable stores some opaque type like a sampler or an image,
    /// and a `GlobalVariable` expression referring to it produces the
    /// variable's value directly.
    ///
    /// For any other address space, a `GlobalVariable` expression produces a
    /// pointer to the variable's value. You must use a [`Load`] expression to
    /// retrieve its value, or a [`Store`] statement to assign it a new value.
    ///
    /// [`space`]: GlobalVariable::space
    /// [`Load`]: Expression::Load
    /// [`Store`]: Statement::Store
    GlobalVariable(Handle<GlobalVariable>),

    /// Reference a local variable.
    ///
    /// A `LocalVariable` expression evaluates to a pointer to the variable's value.
    /// You must use a [`Load`](Expression::Load) expression to retrieve its value,
    /// or a [`Store`](Statement::Store) statement to assign it a new value.
    LocalVariable(Handle<LocalVariable>),

    /// Load a value indirectly.
    ///
    /// For [`TypeInner::Atomic`] the result is a corresponding scalar.
    /// For other types behind the pointer<T>, the result is T.
    Load { pointer: Handle<Expression> },
    /// Sample a point from a sampled or a depth image.
    ImageSample {
        image: Handle<Expression>,
        sampler: Handle<Expression>,
        /// If Some(), this operation is a gather operation
        /// on the selected component.
        gather: Option<SwizzleComponent>,
        coordinate: Handle<Expression>,
        array_index: Option<Handle<Expression>>,
        offset: Option<Handle<Constant>>,
        level: SampleLevel,
        depth_ref: Option<Handle<Expression>>,
    },

    /// Load a texel from an image.
    ///
    /// For most images, this returns a four-element vector of the same
    /// [`ScalarKind`] as the image. If the format of the image does not have
    /// four components, default values are provided: the first three components
    /// (typically R, G, and B) default to zero, and the final component
    /// (typically alpha) defaults to one.
    ///
    /// However, if the image's [`class`] is [`Depth`], then this returns a
    /// [`Float`] scalar value.
    ///
    /// [`ScalarKind`]: ScalarKind
    /// [`class`]: TypeInner::Image::class
    /// [`Depth`]: ImageClass::Depth
    /// [`Float`]: ScalarKind::Float
    ImageLoad {
        /// The image to load a texel from. This must have type [`Image`]. (This
        /// will necessarily be a [`GlobalVariable`] or [`FunctionArgument`]
        /// expression, since no other expressions are allowed to have that
        /// type.)
        ///
        /// [`Image`]: TypeInner::Image
        /// [`GlobalVariable`]: Expression::GlobalVariable
        /// [`FunctionArgument`]: Expression::FunctionArgument
        image: Handle<Expression>,

        /// The coordinate of the texel we wish to load. This must be a scalar
        /// for [`D1`] images, a [`Bi`] vector for [`D2`] images, and a [`Tri`]
        /// vector for [`D3`] images. (Array indices, sample indices, and
        /// explicit level-of-detail values are supplied separately.) Its
        /// component type must be [`Sint`].
        ///
        /// [`D1`]: ImageDimension::D1
        /// [`D2`]: ImageDimension::D2
        /// [`D3`]: ImageDimension::D3
        /// [`Bi`]: VectorSize::Bi
        /// [`Tri`]: VectorSize::Tri
        /// [`Sint`]: ScalarKind::Sint
        coordinate: Handle<Expression>,

        /// The index into an arrayed image. If the [`arrayed`] flag in
        /// `image`'s type is `true`, then this must be `Some(expr)`, where
        /// `expr` is a [`Sint`] scalar. Otherwise, it must be `None`.
        ///
        /// [`arrayed`]: TypeInner::Image::arrayed
        /// [`Sint`]: ScalarKind::Sint
        array_index: Option<Handle<Expression>>,

        /// A sample index, for multisampled [`Sampled`] and [`Depth`] images.
        ///
        /// [`Sampled`]: ImageClass::Sampled
        /// [`Depth`]: ImageClass::Depth
        sample: Option<Handle<Expression>>,

        /// A level of detail, for mipmapped images.
        ///
        /// This must be present when accessing non-multisampled
        /// [`Sampled`] and [`Depth`] images, even if only the
        /// full-resolution level is present (in which case the only
        /// valid level is zero).
        ///
        /// [`Sampled`]: ImageClass::Sampled
        /// [`Depth`]: ImageClass::Depth
        level: Option<Handle<Expression>>,
    },

    /// Query information from an image.
    ImageQuery {
        image: Handle<Expression>,
        query: ImageQuery,
    },
    /// Apply an unary operator.
    Unary {
        op: UnaryOperator,
        expr: Handle<Expression>,
    },
    /// Apply a binary operator.
    Binary {
        op: BinaryOperator,
        left: Handle<Expression>,
        right: Handle<Expression>,
    },
    /// Select between two values based on a condition.
    ///
    /// Note that, because expressions have no side effects, it is unobservable
    /// whether the non-selected branch is evaluated.
    Select {
        /// Boolean expression
        condition: Handle<Expression>,
        accept: Handle<Expression>,
        reject: Handle<Expression>,
    },
    /// Compute the derivative on an axis.
    Derivative {
        axis: DerivativeAxis,
        //modifier,
        expr: Handle<Expression>,
    },
    /// Call a relational function.
    Relational {
        fun: RelationalFunction,
        argument: Handle<Expression>,
    },
    /// Call a math function
    Math {
        fun: MathFunction,
        arg: Handle<Expression>,
        arg1: Option<Handle<Expression>>,
        arg2: Option<Handle<Expression>>,
        arg3: Option<Handle<Expression>>,
    },
    /// Cast a simple type to another kind.
    As {
        /// Source expression, which can only be a scalar or a vector.
        expr: Handle<Expression>,
        /// Target scalar kind.
        kind: ScalarKind,
        /// If provided, converts to the specified byte width.
        /// Otherwise, bitcast.
        convert: Option<Bytes>,
    },
    /// Result of calling another function.
    CallResult(Handle<Function>),
    /// Result of an atomic operation.
    AtomicResult {
        kind: ScalarKind,
        width: Bytes,
        comparison: bool,
    },
    /// Get the length of an array.
    /// The expression must resolve to a pointer to an array with a dynamic size.
    ///
    /// This doesn't match the semantics of spirv's `OpArrayLength`, which must be passed
    /// a pointer to a structure containing a runtime array in its' last field.
    ArrayLength(Handle<Expression>),
}

pub use block::Block;

/// The value of the switch case.
// Clone is used only for error reporting and is not intended for end users
#[derive(Clone, Debug)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum SwitchValue {
    Integer(i32),
    Default,
}

/// A case for a switch statement.
// Clone is used only for error reporting and is not intended for end users
#[derive(Clone, Debug)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct SwitchCase {
    /// Value, upon which the case is considered true.
    pub value: SwitchValue,
    /// Body of the case.
    pub body: Block,
    /// If true, the control flow continues to the next case in the list,
    /// or default.
    pub fall_through: bool,
}

//TODO: consider removing `Clone`. It's not valid to clone `Statement::Emit` anyway.
/// Instructions which make up an executable block.
// Clone is used only for error reporting and is not intended for end users
#[derive(Clone, Debug)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub enum Statement {
    /// Emit a range of expressions, visible to all statements that follow in this block.
    ///
    /// See the [module-level documentation][emit] for details.
    ///
    /// [emit]: index.html#expression-evaluation-time
    Emit(Range<Expression>),
    /// A block containing more statements, to be executed sequentially.
    Block(Block),
    /// Conditionally executes one of two blocks, based on the value of the condition.
    If {
        condition: Handle<Expression>, //bool
        accept: Block,
        reject: Block,
    },
    /// Conditionally executes one of multiple blocks, based on the value of the selector.
    Switch {
        selector: Handle<Expression>, //int
        cases: Vec<SwitchCase>,
    },

    /// Executes a block repeatedly.
    ///
    /// Each iteration of the loop executes the `body` block, followed by the
    /// `continuing` block.
    ///
    /// Executing a [`Break`], [`Return`] or [`Kill`] statement exits the loop.
    ///
    /// A [`Continue`] statement in `body` jumps to the `continuing` block. The
    /// `continuing` block is meant to be used to represent structures like the
    /// third expression of a C-style `for` loop head, to which `continue`
    /// statements in the loop's body jump.
    ///
    /// The `continuing` block and its substatements must not contain `Return`
    /// or `Kill` statements, or any `Break` or `Continue` statements targeting
    /// this loop. (It may have `Break` and `Continue` statements targeting
    /// loops or switches nested within the `continuing` block.)
    ///
    /// If present, `break_if` is an expression which is evaluated after the
    /// continuing block. If its value is true, control continues after the
    /// `Loop` statement, rather than branching back to the top of body as
    /// usual. The `break_if` expression corresponds to a "break if" statement
    /// in WGSL, or a loop whose back edge is an `OpBranchConditional`
    /// instruction in SPIR-V.
    ///
    /// [`Break`]: Statement::Break
    /// [`Continue`]: Statement::Continue
    /// [`Kill`]: Statement::Kill
    /// [`Return`]: Statement::Return
    /// [`break if`]: Self::Loop::break_if
    Loop {
        body: Block,
        continuing: Block,
        break_if: Option<Handle<Expression>>,
    },

    /// Exits the innermost enclosing [`Loop`] or [`Switch`].
    ///
    /// A `Break` statement may only appear within a [`Loop`] or [`Switch`]
    /// statement. It may not break out of a [`Loop`] from within the loop's
    /// `continuing` block.
    ///
    /// [`Loop`]: Statement::Loop
    /// [`Switch`]: Statement::Switch
    Break,

    /// Skips to the `continuing` block of the innermost enclosing [`Loop`].
    ///
    /// A `Continue` statement may only appear within the `body` block of the
    /// innermost enclosing [`Loop`] statement. It must not appear within that
    /// loop's `continuing` block.
    ///
    /// [`Loop`]: Statement::Loop
    Continue,

    /// Returns from the function (possibly with a value).
    ///
    /// `Return` statements are forbidden within the `continuing` block of a
    /// [`Loop`] statement.
    ///
    /// [`Loop`]: Statement::Loop
    Return { value: Option<Handle<Expression>> },

    /// Aborts the current shader execution.
    ///
    /// `Kill` statements are forbidden within the `continuing` block of a
    /// [`Loop`] statement.
    ///
    /// [`Loop`]: Statement::Loop
    Kill,

    /// Synchronize invocations within the work group.
    /// The `Barrier` flags control which memory accesses should be synchronized.
    /// If empty, this becomes purely an execution barrier.
    Barrier(Barrier),
    /// Stores a value at an address.
    ///
    /// For [`TypeInner::Atomic`] type behind the pointer, the value
    /// has to be a corresponding scalar.
    /// For other types behind the pointer<T>, the value is T.
    ///
    /// This statement is a barrier for any operations on the
    /// `Expression::LocalVariable` or `Expression::GlobalVariable`
    /// that is the destination of an access chain, started
    /// from the `pointer`.
    Store {
        pointer: Handle<Expression>,
        value: Handle<Expression>,
    },
    /// Stores a texel value to an image.
    ///
    /// The `image`, `coordinate`, and `array_index` fields have the same
    /// meanings as the corresponding operands of an [`ImageLoad`] expression;
    /// see that documentation for details. Storing into multisampled images or
    /// images with mipmaps is not supported, so there are no `level` or
    /// `sample` operands.
    ///
    /// This statement is a barrier for any operations on the corresponding
    /// [`Expression::GlobalVariable`] for this image.
    ///
    /// [`ImageLoad`]: Expression::ImageLoad
    ImageStore {
        image: Handle<Expression>,
        coordinate: Handle<Expression>,
        array_index: Option<Handle<Expression>>,
        value: Handle<Expression>,
    },
    /// Atomic function.
    Atomic {
        /// Pointer to an atomic value.
        pointer: Handle<Expression>,
        /// Function to run on the atomic.
        fun: AtomicFunction,
        /// Value to use in the function.
        value: Handle<Expression>,
        /// [`AtomicResult`] expression representing this function's result.
        ///
        /// [`AtomicResult`]: crate::Expression::AtomicResult
        result: Handle<Expression>,
    },
    /// Calls a function.
    ///
    /// If the `result` is `Some`, the corresponding expression has to be
    /// `Expression::CallResult`, and this statement serves as a barrier for any
    /// operations on that expression.
    Call {
        function: Handle<Function>,
        arguments: Vec<Handle<Expression>>,
        result: Option<Handle<Expression>>,
    },
}

/// A function argument.
#[derive(Clone, Debug)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct FunctionArgument {
    /// Name of the argument, if any.
    pub name: Option<String>,
    /// Type of the argument.
    pub ty: Handle<Type>,
    /// For entry points, an argument has to have a binding
    /// unless it's a structure.
    pub binding: Option<Binding>,
}

/// A function result.
#[derive(Clone, Debug)]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct FunctionResult {
    /// Type of the result.
    pub ty: Handle<Type>,
    /// For entry points, the result has to have a binding
    /// unless it's a structure.
    pub binding: Option<Binding>,
}

/// A function defined in the module.
#[derive(Debug, Default)]
#[cfg_attr(feature = "clone", derive(Clone))]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct Function {
    /// Name of the function, if any.
    pub name: Option<String>,
    /// Information about function argument.
    pub arguments: Vec<FunctionArgument>,
    /// The result of this function, if any.
    pub result: Option<FunctionResult>,
    /// Local variables defined and used in the function.
    pub local_variables: Arena<LocalVariable>,
    /// Expressions used inside this function.
    ///
    /// An `Expression` must occur before all other `Expression`s that use its
    /// value.
    pub expressions: Arena<Expression>,
    /// Map of expressions that have associated variable names
    pub named_expressions: NamedExpressions,
    /// Block of instructions comprising the body of the function.
    pub body: Block,
}

/// The main function for a pipeline stage.
///
/// An [`EntryPoint`] is a [`Function`] that serves as the main function for a
/// graphics or compute pipeline stage. For example, an `EntryPoint` whose
/// [`stage`] is [`ShaderStage::Vertex`] can serve as a graphics pipeline's
/// vertex shader.
///
/// Since an entry point is called directly by the graphics or compute pipeline,
/// not by other WGSL functions, you must specify what the pipeline should pass
/// as the entry point's arguments, and what values it will return. For example,
/// a vertex shader needs a vertex's attributes as its arguments, but if it's
/// used for instanced draw calls, it will also want to know the instance id.
/// The vertex shader's return value will usually include an output vertex
/// position, and possibly other attributes to be interpolated and passed along
/// to a fragment shader.
///
/// To specify this, the arguments and result of an `EntryPoint`'s [`function`]
/// must each have a [`Binding`], or be structs whose members all have
/// `Binding`s. This associates every value passed to or returned from the entry
/// point with either a [`BuiltIn`] or a [`Location`]:
///
/// -   A [`BuiltIn`] has special semantics, usually specific to its pipeline
///     stage. For example, the result of a vertex shader can include a
///     [`BuiltIn::Position`] value, which determines the position of a vertex
///     of a rendered primitive. Or, a compute shader might take an argument
///     whose binding is [`BuiltIn::WorkGroupSize`], through which the compute
///     pipeline would pass the number of invocations in your workgroup.
///
/// -   A [`Location`] indicates user-defined IO to be passed from one pipeline
///     stage to the next. For example, a vertex shader might also produce a
///     `uv` texture location as a user-defined IO value.
///
/// In other words, the pipeline stage's input and output interface are
/// determined by the bindings of the arguments and result of the `EntryPoint`'s
/// [`function`].
///
/// [`Function`]: crate::Function
/// [`Location`]: Binding::Location
/// [`function`]: EntryPoint::function
/// [`stage`]: EntryPoint::stage
#[derive(Debug)]
#[cfg_attr(feature = "clone", derive(Clone))]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct EntryPoint {
    /// Name of this entry point, visible externally.
    ///
    /// Entry point names for a given `stage` must be distinct within a module.
    pub name: String,
    /// Shader stage.
    pub stage: ShaderStage,
    /// Early depth test for fragment stages.
    pub early_depth_test: Option<EarlyDepthTest>,
    /// Workgroup size for compute stages
    pub workgroup_size: [u32; 3],
    /// The entrance function.
    pub function: Function,
}

/// Shader module.
///
/// A module is a set of constants, global variables and functions, as well as
/// the types required to define them.
///
/// Some functions are marked as entry points, to be used in a certain shader stage.
///
/// To create a new module, use the `Default` implementation.
/// Alternatively, you can load an existing shader using one of the [available front ends][front].
///
/// When finished, you can export modules using one of the [available backends][back].
#[derive(Debug, Default)]
#[cfg_attr(feature = "clone", derive(Clone))]
#[cfg_attr(feature = "serialize", derive(Serialize))]
#[cfg_attr(feature = "deserialize", derive(Deserialize))]
#[cfg_attr(feature = "arbitrary", derive(Arbitrary))]
pub struct Module {
    /// Arena for the types defined in this module.
    pub types: UniqueArena<Type>,
    /// Arena for the constants defined in this module.
    pub constants: Arena<Constant>,
    /// Arena for the global variables defined in this module.
    pub global_variables: Arena<GlobalVariable>,
    /// Arena for the functions defined in this module.
    ///
    /// Each function must appear in this arena strictly before all its callers.
    /// Recursion is not supported.
    pub functions: Arena<Function>,
    /// Entry points.
    pub entry_points: Vec<EntryPoint>,
}


================================================
FILE: lib/naga/src/proc/index.rs
================================================
/*!
Definitions for index bounds checking.
*/

use crate::{valid, Handle, UniqueArena};
use bit_set::BitSet;

/// How should code generated by Naga do bounds checks?
///
/// When a vector, matrix, or array index is out of bounds—either negative, or
/// greater than or equal to the number of elements in the type—WGSL requires
/// that some other index of the implementation's choice that is in bounds is
/// used instead. (There are no types with zero elements.)
///
/// Similarly, when out-of-bounds coordinates, array indices, or sample indices
/// are presented to the WGSL `textureLoad` and `textureStore` operations, the
/// operation is redirected to do something safe.
///
/// Different users of Naga will prefer different defaults:
///
/// -   When used as part of a WebGPU implementation, the WGSL specification
///     requires the `Restrict` behavior for array, vector, and matrix accesses,
///     and either the `Restrict` or `ReadZeroSkipWrite` behaviors for texture
///     accesses.
///
/// -   When used by the `wgpu` crate for native development, `wgpu` selects
///     `ReadZeroSkipWrite` as its default.
///
/// -   Naga's own default is `Unchecked`, so that shader translations
///     are as faithful to the original as possible.
///
/// Sometimes the underlying hardware and drivers can perform bounds checks
/// themselves, in a way that performs better than the checks Naga would inject.
/// If you're using native checks like this, then having Naga inject its own
/// checks as well would be redundant, and the `Unchecked` policy is
/// appropriate.
#[derive(Clone, Copy, Debug, Eq, Hash, PartialEq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub enum BoundsCheckPolicy {
    /// Replace out-of-bounds indexes with some arbitrary in-bounds index.
    ///
    /// (This does not necessarily mean clamping. For example, interpreting the
    /// index as unsigned and taking the minimum with the largest valid index
    /// would also be a valid implementation. That would map negative indices to
    /// the last element, not the first.)
    Restrict,

    /// Out-of-bounds reads return zero, and writes have no effect.
    ///
    /// When applied to a chain of accesses, like `a[i][j].b[k]`, all index
    /// expressions are evaluated, regardless of whether prior or later index
    /// expressions were in bounds. But all the accesses per se are skipped
    /// if any index is out of bounds.
    ReadZeroSkipWrite,

    /// Naga adds no checks to indexing operations. Generate the fastest code
    /// possible. This is the default for Naga, as a translator, but consumers
    /// should consider defaulting to a safer behavior.
    Unchecked,
}

/// Policies for injecting bounds checks during code generation.
#[derive(Clone, Copy, Debug, Default, Eq, Hash, PartialEq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct BoundsCheckPolicies {
    /// How should the generated code handle array, vector, or matrix indices
    /// that are out of range?
    #[cfg_attr(feature = "deserialize", serde(default))]
    pub index: BoundsCheckPolicy,

    /// How should the generated code handle array, vector, or matrix indices
    /// that are out of range, when those values live in a [`GlobalVariable`] in
    /// the [`Storage`] or [`Uniform`] address spaces?
    ///
    /// Some graphics hardware provides "robust buffer access", a feature that
    /// ensures that using a pointer cannot access memory outside the 'buffer'
    /// that it was derived from. In Naga terms, this means that the hardware
    /// ensures that pointers computed by applying [`Access`] and
    /// [`AccessIndex`] expressions to a [`GlobalVariable`] whose [`space`] is
    /// [`Storage`] or [`Uniform`] will never read or write memory outside that
    /// global variable.
    ///
    /// When hardware offers such a feature, it is probably undesirable to have
    /// Naga inject bounds checking code for such accesses, since the hardware
    /// can probably provide the same protection more efficiently. However,
    /// bounds checks are still needed on accesses to indexable values that do
    /// not live in buffers, like local variables.
    ///
    /// So, this option provides a separate policy that applies only to accesses
    /// to storage and uniform globals. When depending on hardware bounds
    /// checking, this policy can be `Unchecked` to avoid unnecessary overhead.
    ///
    /// When special hardware support is not available, this should probably be
    /// the same as `index_bounds_check_policy`.
    ///
    /// [`GlobalVariable`]: crate::GlobalVariable
    /// [`space`]: crate::GlobalVariable::space
    /// [`Restrict`]: crate::back::BoundsCheckPolicy::Restrict
    /// [`ReadZeroSkipWrite`]: crate::back::BoundsCheckPolicy::ReadZeroSkipWrite
    /// [`Access`]: crate::Expression::Access
    /// [`AccessIndex`]: crate::Expression::AccessIndex
    /// [`Storage`]: crate::AddressSpace::Storage
    /// [`Uniform`]: crate::AddressSpace::Uniform
    #[cfg_attr(feature = "deserialize", serde(default))]
    pub buffer: BoundsCheckPolicy,

    /// How should the generated code handle image texel references that are out
    /// of range?
    ///
    /// This controls the behavior of [`ImageLoad`] expressions and
    /// [`ImageStore`] statements when a coordinate, texture array index, level
    /// of detail, or multisampled sample number is out of range.
    ///
    /// [`ImageLoad`]: crate::Expression::ImageLoad
    /// [`ImageStore`]: crate::Statement::ImageStore
    #[cfg_attr(feature = "deserialize", serde(default))]
    pub image: BoundsCheckPolicy,

    /// How should the generated code handle binding array indexes that are out of bounds.
    #[cfg_attr(feature = "deserialize", serde(default))]
    pub binding_array: BoundsCheckPolicy,
}

/// The default `BoundsCheckPolicy` is `Unchecked`.
impl Default for BoundsCheckPolicy {
    fn default() -> Self {
        BoundsCheckPolicy::Unchecked
    }
}

impl BoundsCheckPolicies {
    /// Determine which policy applies to `base`.
    ///
    /// `base` is the "base" expression (the expression being indexed) of a `Access`
    /// and `AccessIndex` expression. This is either a pointer, a value, being directly
    /// indexed, or a binding array.
    ///
    /// See the documentation for [`BoundsCheckPolicy`] for details about
    /// when each policy applies.
    pub fn choose_policy(
        &self,
        base: Handle<crate::Expression>,
        types: &UniqueArena<crate::Type>,
        info: &valid::FunctionInfo,
    ) -> BoundsCheckPolicy {
        let ty = info[base].ty.inner_with(types);

        if let crate::TypeInner::BindingArray { .. } = *ty {
            return self.binding_array;
        }

        match ty.pointer_space() {
            Some(crate::AddressSpace::Storage { access: _ } | crate::AddressSpace::Uniform) => {
                self.buffer
            }
            // This covers other address spaces, but also accessing vectors and
            // matrices by value, where no pointer is involved.
            _ => self.index,
        }
    }

    /// Return `true` if any of `self`'s policies are `policy`.
    pub fn contains(&self, policy: BoundsCheckPolicy) -> bool {
        self.index == policy || self.buffer == policy || self.image == policy
    }
}

/// An index that may be statically known, or may need to be computed at runtime.
///
/// This enum lets us handle both [`Access`] and [`AccessIndex`] expressions
/// with the same code.
///
/// [`Access`]: crate::Expression::Access
/// [`AccessIndex`]: crate::Expression::AccessIndex
#[derive(Clone, Copy, Debug)]
pub enum GuardedIndex {
    Known(u32),
    Expression(Handle<crate::Expression>),
}

/// Build a set of expressions used as indices, to cache in temporary variables when
/// emitted.
///
/// Given the bounds-check policies `policies`, construct a `BitSet` containing the handle
/// indices of all the expressions in `function` that are ever used as guarded indices
/// under the [`ReadZeroSkipWrite`] policy. The `module` argument must be the module to
/// which `function` belongs, and `info` should be that function's analysis results.
///
/// Such index expressions will be used twice in the generated code: first for the
/// comparison to see if the index is in bounds, and then for the access itself, should
/// the comparison succeed. To avoid computing the expressions twice, the generated code
/// should cache them in temporary variables.
///
/// Why do we need to build such a set in advance, instead of just processing access
/// expressions as we encounter them? Whether an expression needs to be cached depends on
/// whether it appears as something like the [`index`] operand of an [`Access`] expression
/// or the [`level`] operand of an [`ImageLoad`] expression, and on the index bounds check
/// policies that apply to those accesses. But [`Emit`] statements just identify a range
/// of expressions by index; there's no good way to tell what an expression is used
/// for. The only way to do it is to just iterate over all the expressions looking for
/// relevant `Access` expressions --- which is what this function does.
///
/// Simple expressions like variable loads and constants don't make sense to cache: it's
/// no better than just re-evaluating them. But constants are not covered by `Emit`
/// statements, and `Load`s are always cached to ensure they occur at the right time, so
/// we don't bother filtering them out from this set.
///
/// Fortunately, we don't need to deal with [`ImageStore`] statements here. When we emit
/// code for a statement, the writer isn't in the middle of an expression, so we can just
/// emit declarations for temporaries, initialized appropriately.
///
/// None of these concerns apply for SPIR-V output, since it's easy to just reuse an
/// instruction ID in two places; that has the same semantics as a temporary variable, and
/// it's inherent in the design of SPIR-V. This function is more useful for text-based
/// back ends.
///
/// [`ReadZeroSkipWrite`]: BoundsCheckPolicy::ReadZeroSkipWrite
/// [`index`]: crate::Expression::Access::index
/// [`Access`]: crate::Expression::Access
/// [`level`]: crate::Expression::ImageLoad::level
/// [`ImageLoad`]: crate::Expression::ImageLoad
/// [`Emit`]: crate::Statement::Emit
/// [`ImageStore`]: crate::Statement::ImageStore
pub fn find_checked_indexes(
    module: &crate::Module,
    function: &crate::Function,
    info: &crate::valid::FunctionInfo,
    policies: BoundsCheckPolicies,
) -> BitSet {
    use crate::Expression as Ex;

    let mut guarded_indices = BitSet::new();

    // Don't bother scanning if we never need `ReadZeroSkipWrite`.
    if policies.contains(BoundsCheckPolicy::ReadZeroSkipWrite) {
        for (_handle, expr) in function.expressions.iter() {
            // There's no need to handle `AccessIndex` expressions, as their
            // indices never need to be cached.
            match *expr {
                Ex::Access { base, index } => {
                    if policies.choose_policy(base, &module.types, info)
                        == BoundsCheckPolicy::ReadZeroSkipWrite
                        && access_needs_check(
                            base,
                            GuardedIndex::Expression(index),
                            module,
                            function,
                            info,
                        )
                        .is_some()
                    {
                        guarded_indices.insert(index.index());
                    }
                }
                Ex::ImageLoad {
                    coordinate,
                    array_index,
                    sample,
                    level,
                    ..
                } => {
                    if policies.image == BoundsCheckPolicy::ReadZeroSkipWrite {
                        guarded_indices.insert(coordinate.index());
                        if let Some(array_index) = array_index {
                            guarded_indices.insert(array_index.index());
                        }
                        if let Some(sample) = sample {
                            guarded_indices.insert(sample.index());
                        }
                        if let Some(level) = level {
                            guarded_indices.insert(level.index());
                        }
                    }
                }
                _ => {}
            }
        }
    }

    guarded_indices
}

/// Determine whether `index` is statically known to be in bounds for `base`.
///
/// If we can't be sure that the index is in bounds, return the limit within
/// which valid indices must fall.
///
/// The return value is one of the following:
///
/// - `Some(Known(n))` indicates that `n` is the largest valid index.
///
/// - `Some(Computed(global))` indicates that the largest valid index is one
///   less than the length of the array that is the last member of the
///   struct held in `global`.
///
/// - `None` indicates that the index need not be checked, either because it
///   is statically known to be in bounds, or because the applicable policy
///   is `Unchecked`.
///
/// This function only handles subscriptable types: arrays, vectors, and
/// matrices. It does not handle struct member indices; those never require
/// run-time checks, so it's best to deal with them further up the call
/// chain.
pub fn access_needs_check(
    base: Handle<crate::Expression>,
    mut index: GuardedIndex,
    module: &crate::Module,
    function: &crate::Function,
    info: &crate::valid::FunctionInfo,
) -> Option<IndexableLength> {
    let base_inner = info[base].ty.inner_with(&module.types);
    // Unwrap safety: `Err` here indicates unindexable base types and invalid
    // length constants, but `access_needs_check` is only used by back ends, so
    // validation should have caught those problems.
    let length = base_inner.indexable_length(module).unwrap();
    index.try_resolve_to_constant(function, module);
    if let (&GuardedIndex::Known(index), &IndexableLength::Known(length)) = (&index, &length) {
        if index < length {
            // Index is statically known to be in bounds, no check needed.
            return None;
        }
    };

    Some(length)
}

impl GuardedIndex {
    /// Make A `GuardedIndex::Known` from a `GuardedIndex::Expression` if possible.
    ///
    /// If the expression is a [`Constant`] whose value is a non-specialized, scalar
    /// integer constant that can be converted to a `u32`, do so and return a
    /// `GuardedIndex::Known`. Otherwise, return the `GuardedIndex::Expression`
    /// unchanged.
    ///
    /// Return values that are already `Known` unchanged.
    ///
    /// [`Constant`]: crate::Expression::Constant
    fn try_resolve_to_constant(&mut self, function: &crate::Function, module: &crate::Module) {
        if let GuardedIndex::Expression(expr) = *self {
            if let crate::Expression::Constant(handle) = function.expressions[expr] {
                if let Some(value) = module.constants[handle].to_array_length() {
                    *self = GuardedIndex::Known(value);
                }
            }
        }
    }
}

#[derive(Clone, Copy, Debug, thiserror::Error, PartialEq)]
pub enum IndexableLengthError {
    #[error("Type is not indexable, and has no length (validation error)")]
    TypeNotIndexable,
    #[error("Array length constant {0:?} is invalid")]
    InvalidArrayLength(Handle<crate::Constant>),
}

impl crate::TypeInner {
    /// Return the length of a subscriptable type.
    ///
    /// The `self` parameter should be a handle to a vector, matrix, or array
    /// type, a pointer to one of those, or a value pointer. Arrays may be
    /// fixed-size, dynamically sized, or sized by a specializable constant.
    /// This function does not handle struct member references, as with
    /// `AccessIndex`.
    ///
    /// The value returned is appropriate for bounds checks on subscripting.
    ///
    /// Return an error if `self` does not describe a subscriptable type at all.
    pub fn indexable_length(
        &self,
        module: &crate::Module,
    ) -> Result<IndexableLength, IndexableLengthError> {
        use crate::TypeInner as Ti;
        let known_length = match *self {
            Ti::Vector { size, .. } => size as _,
            Ti::Matrix { columns, .. } => columns as _,
            Ti::Array { size, .. } | Ti::BindingArray { size, .. } => {
                return size.to_indexable_length(module);
            }
            Ti::ValuePointer {
                size: Some(size), ..
            } => size as _,
            Ti::Pointer { base, .. } => {
                // When assigning types to expressions, ResolveContext::Resolve
                // does a separate sub-match here instead of a full recursion,
                // so we'll do the same.
                let base_inner = &module.types[base].inner;
                match *base_inner {
                    Ti::Vector { size, .. } => size as _,
                    Ti::Matrix { columns, .. } => columns as _,
                    Ti::Array { size, .. } => return size.to_indexable_length(module),
                    _ => return Err(IndexableLengthError::TypeNotIndexable),
                }
            }
            _ => return Err(IndexableLengthError::TypeNotIndexable),
        };
        Ok(IndexableLength::Known(known_length))
    }
}

/// The number of elements in an indexable type.
///
/// This summarizes the length of vectors, matrices, and arrays in a way that is
/// convenient for indexing and bounds-checking code.
#[derive(Debug)]
pub enum IndexableLength {
    /// Values of this type always have the given number of elements.
    Known(u32),

    /// The number of elements is determined at runtime.
    Dynamic,
}

impl crate::ArraySize {
    pub fn to_indexable_length(
        self,
        module: &crate::Module,
    ) -> Result<IndexableLength, IndexableLengthError> {
        Ok(match self {
            Self::Constant(k) => {
                let constant = &module.constants[k];
                if constant.specialization.is_some() {
                    // Specializable constants are not supported as array lengths.
                    // See valid::TypeError::UnsupportedSpecializedArrayLength.
                    return Err(IndexableLengthError::InvalidArrayLength(k));
                }
                let length = constant
                    .to_array_length()
                    .ok_or(IndexableLengthError::InvalidArrayLength(k))?;
                IndexableLength::Known(length)
            }
            Self::Dynamic => IndexableLength::Dynamic,
        })
    }
}


================================================
FILE: lib/naga/src/proc/layouter.rs
================================================
use crate::arena::{Arena, BadHandle, Handle, UniqueArena};
use std::{fmt::Display, num::NonZeroU32, ops};

/// A newtype struct where its only valid values are powers of 2
#[derive(Clone, Copy, Debug, Hash, PartialEq, Eq, PartialOrd, Ord)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct Alignment(NonZeroU32);

impl Alignment {
    pub const ONE: Self = Self(unsafe { NonZeroU32::new_unchecked(1) });
    pub const TWO: Self = Self(unsafe { NonZeroU32::new_unchecked(2) });
    pub const FOUR: Self = Self(unsafe { NonZeroU32::new_unchecked(4) });
    pub const EIGHT: Self = Self(unsafe { NonZeroU32::new_unchecked(8) });
    pub const SIXTEEN: Self = Self(unsafe { NonZeroU32::new_unchecked(16) });

    pub const MIN_UNIFORM: Self = Self::SIXTEEN;

    pub const fn new(n: u32) -> Option<Self> {
        if n.is_power_of_two() {
            // SAFETY: value can't be 0 since we just checked if it's a power of 2
            Some(Self(unsafe { NonZeroU32::new_unchecked(n) }))
        } else {
            None
        }
    }

    /// # Panics
    /// If `width` is not a power of 2
    pub fn from_width(width: u8) -> Self {
        Self::new(width as u32).unwrap()
    }

    /// Returns whether or not `n` is a multiple of this alignment.
    pub const fn is_aligned(&self, n: u32) -> bool {
        // equivalent to: `n % self.0.get() == 0` but much faster
        n & (self.0.get() - 1) == 0
    }

    /// Round `n` up to the nearest alignment boundary.
    pub const fn round_up(&self, n: u32) -> u32 {
        // equivalent to:
        // match n % self.0.get() {
        //     0 => n,
        //     rem => n + (self.0.get() - rem),
        // }
        let mask = self.0.get() - 1;
        (n + mask) & !mask
    }
}

impl Display for Alignment {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        self.0.get().fmt(f)
    }
}

impl ops::Mul<u32> for Alignment {
    type Output = u32;

    fn mul(self, rhs: u32) -> Self::Output {
        self.0.get() * rhs
    }
}

impl ops::Mul for Alignment {
    type Output = Alignment;

    fn mul(self, rhs: Alignment) -> Self::Output {
        // SAFETY: both lhs and rhs are powers of 2, the result will be a power of 2
        Self(unsafe { NonZeroU32::new_unchecked(self.0.get() * rhs.0.get()) })
    }
}

impl From<crate::VectorSize> for Alignment {
    fn from(size: crate::VectorSize) -> Self {
        match size {
            crate::VectorSize::Bi => Alignment::TWO,
            crate::VectorSize::Tri => Alignment::FOUR,
            crate::VectorSize::Quad => Alignment::FOUR,
        }
    }
}

/// Size and alignment information for a type.
#[derive(Clone, Copy, Debug, Hash, PartialEq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct TypeLayout {
    pub size: u32,
    pub alignment: Alignment,
}

impl TypeLayout {
    /// Produce the stride as if this type is a base of an array.
    pub const fn to_stride(&self) -> u32 {
        self.alignment.round_up(self.size)
    }
}

/// Helper processor that derives the sizes of all types.
///
/// `Layouter` uses the default layout algorithm/table, described in
/// [WGSL §4.3.7, "Memory Layout"]
///
/// A `Layouter` may be indexed by `Handle<Type>` values: `layouter[handle]` is the
/// layout of the type whose handle is `handle`.
///
/// [WGSL §4.3.7, "Memory Layout"](https://gpuweb.github.io/gpuweb/wgsl/#memory-layouts)
#[derive(Debug, Default)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct Layouter {
    /// Layouts for types in an arena, indexed by `Handle` index.
    layouts: Vec<TypeLayout>,
}

impl ops::Index<Handle<crate::Type>> for Layouter {
    type Output = TypeLayout;
    fn index(&self, handle: Handle<crate::Type>) -> &TypeLayout {
        &self.layouts[handle.index()]
    }
}

#[derive(Clone, Copy, Debug, PartialEq, thiserror::Error)]
pub enum LayoutErrorInner {
    #[error("Array element type {0:?} doesn't exist")]
    InvalidArrayElementType(Handle<crate::Type>),
    #[error("Struct member[{0}] type {1:?} doesn't exist")]
    InvalidStructMemberType(u32, Handle<crate::Type>),
    #[error("Type width must be a power of two")]
    NonPowerOfTwoWidth,
    #[error("Array size is a bad handle")]
    BadHandle(#[from] BadHandle),
}

#[derive(Clone, Copy, Debug, PartialEq, thiserror::Error)]
#[error("Error laying out type {ty:?}: {inner}")]
pub struct LayoutError {
    pub ty: Handle<crate::Type>,
    pub inner: LayoutErrorInner,
}

impl LayoutErrorInner {
    const fn with(self, ty: Handle<crate::Type>) -> LayoutError {
        LayoutError { ty, inner: self }
    }
}

impl Layouter {
    /// Remove all entries from this `Layouter`, retaining storage.
    pub fn clear(&mut self) {
        self.layouts.clear();
    }

    /// Extend this `Layouter` with layouts for any new entries in `types`.
    ///
    /// Ensure that every type in `types` has a corresponding [TypeLayout] in
    /// [`self.layouts`].
    ///
    /// Some front ends need to be able to compute layouts for existing types
    /// while module construction is still in progress and new types are still
    /// being added. This function assumes that the `TypeLayout` values already
    /// present in `self.layouts` cover their corresponding entries in `types`,
    /// and extends `self.layouts` as needed to cover the rest. Thus, a front
    /// end can call this function at any time, passing its current type and
    /// constant arenas, and then assume that layouts are available for all
    /// types.
    #[allow(clippy::or_fun_call)]
    pub fn update(
        &mut self,
        types: &UniqueArena<crate::Type>,
        constants: &Arena<crate::Constant>,
    ) -> Result<(), LayoutError> {
        use crate::TypeInner as Ti;

        for (ty_handle, ty) in types.iter().skip(self.layouts.len()) {
            let size = ty
                .inner
                .try_size(constants)
                .map_err(|error| LayoutErrorInner::BadHandle(error).with(ty_handle))?;
            let layout = match ty.inner {
                Ti::Scalar { width, .. } | Ti::Atomic { width, .. } => {
                    let alignment = Alignment::new(width as u32)
                        .ok_or(LayoutErrorInner::NonPowerOfTwoWidth.with(ty_handle))?;
                    TypeLayout { size, alignment }
                }
                Ti::Vector {
                    size: vec_size,
                    width,
                    ..
                } => {
                    let alignment = Alignment::new(width as u32)
                        .ok_or(LayoutErrorInner::NonPowerOfTwoWidth.with(ty_handle))?;
                    TypeLayout {
                        size,
                        alignment: Alignment::from(vec_size) * alignment,
                    }
                }
                Ti::Matrix {
                    columns: _,
                    rows,
                    width,
                } => {
                    let alignment = Alignment::new(width as u32)
                        .ok_or(LayoutErrorInner::NonPowerOfTwoWidth.with(ty_handle))?;
                    TypeLayout {
                        size,
                        alignment: Alignment::from(rows) * alignment,
                    }
                }
                Ti::Pointer { .. } | Ti::ValuePointer { .. } => TypeLayout {
                    size,
                    alignment: Alignment::ONE,
                },
                Ti::Array {
                    base,
                    stride: _,
                    size: _,
                } => TypeLayout {
                    size,
                    alignment: if base < ty_handle {
                        self[base].alignment
                    } else {
                        return Err(LayoutErrorInner::InvalidArrayElementType(base).with(ty_handle));
                    },
                },
                Ti::Struct { span, ref members } => {
                    let mut alignment = Alignment::ONE;
                    for (index, member) in members.iter().enumerate() {
                        alignment = if member.ty < ty_handle {
                            alignment.max(self[member.ty].alignment)
                        } else {
                            return Err(LayoutErrorInner::InvalidStructMemberType(
                                index as u32,
                                member.ty,
                            )
                            .with(ty_handle));
                        };
                    }
                    TypeLayout {
                        size: span,
                        alignment,
                    }
                }
                Ti::Image { .. } | Ti::Sampler { .. } | Ti::BindingArray { .. } => TypeLayout {
                    size,
                    alignment: Alignment::ONE,
                },
            };
            debug_assert!(size <= layout.size);
            self.layouts.push(layout);
        }

        Ok(())
    }
}


================================================
FILE: lib/naga/src/proc/mod.rs
================================================
/*!
[`Module`](super::Module) processing functionality.
*/

pub mod index;
mod layouter;
mod namer;
mod terminator;
mod typifier;

use std::cmp::PartialEq;

pub use index::{BoundsCheckPolicies, BoundsCheckPolicy, IndexableLength, IndexableLengthError};
pub use layouter::{Alignment, LayoutError, LayoutErrorInner, Layouter, TypeLayout};
pub use namer::{EntryPointIndex, NameKey, Namer};
pub use terminator::ensure_block_returns;
pub use typifier::{ResolveContext, ResolveError, TypeResolution};

impl From<super::StorageFormat> for super::ScalarKind {
    fn from(format: super::StorageFormat) -> Self {
        use super::{ScalarKind as Sk, StorageFormat as Sf};
        match format {
            Sf::R8Unorm => Sk::Float,
            Sf::R8Snorm => Sk::Float,
            Sf::R8Uint => Sk::Uint,
            Sf::R8Sint => Sk::Sint,
            Sf::R16Uint => Sk::Uint,
            Sf::R16Sint => Sk::Sint,
            Sf::R16Float => Sk::Float,
            Sf::Rg8Unorm => Sk::Float,
            Sf::Rg8Snorm => Sk::Float,
            Sf::Rg8Uint => Sk::Uint,
            Sf::Rg8Sint => Sk::Sint,
            Sf::R32Uint => Sk::Uint,
            Sf::R32Sint => Sk::Sint,
            Sf::R32Float => Sk::Float,
            Sf::Rg16Uint => Sk::Uint,
            Sf::Rg16Sint => Sk::Sint,
            Sf::Rg16Float => Sk::Float,
            Sf::Rgba8Unorm => Sk::Float,
            Sf::Rgba8Snorm => Sk::Float,
            Sf::Rgba8Uint => Sk::Uint,
            Sf::Rgba8Sint => Sk::Sint,
            Sf::Rgb10a2Unorm => Sk::Float,
            Sf::Rg11b10Float => Sk::Float,
            Sf::Rg32Uint => Sk::Uint,
            Sf::Rg32Sint => Sk::Sint,
            Sf::Rg32Float => Sk::Float,
            Sf::Rgba16Uint => Sk::Uint,
            Sf::Rgba16Sint => Sk::Sint,
            Sf::Rgba16Float => Sk::Float,
            Sf::Rgba32Uint => Sk::Uint,
            Sf::Rgba32Sint => Sk::Sint,
            Sf::Rgba32Float => Sk::Float,
        }
    }
}

impl super::ScalarValue {
    pub const fn scalar_kind(&self) -> super::ScalarKind {
        match *self {
            Self::Uint(_) => super::ScalarKind::Uint,
            Self::Sint(_) => super::ScalarKind::Sint,
            Self::Float(_) => super::ScalarKind::Float,
            Self::Bool(_) => super::ScalarKind::Bool,
        }
    }
}

impl super::ScalarKind {
    pub const fn is_numeric(self) -> bool {
        match self {
            crate::ScalarKind::Sint | crate::ScalarKind::Uint | crate::ScalarKind::Float => true,
            crate::ScalarKind::Bool => false,
        }
    }
}

pub const POINTER_SPAN: u32 = 4;

impl super::TypeInner {
    pub const fn scalar_kind(&self) -> Option<super::ScalarKind> {
        match *self {
            super::TypeInner::Scalar { kind, .. } | super::TypeInner::Vector { kind, .. } => {
                Some(kind)
            }
            super::TypeInner::Matrix { .. } => Some(super::ScalarKind::Float),
            _ => None,
        }
    }

    pub const fn pointer_space(&self) -> Option<crate::AddressSpace> {
        match *self {
            Self::Pointer { space, .. } => Some(space),
            Self::ValuePointer { space, .. } => Some(space),
            _ => None,
        }
    }

    pub fn try_size(
        &self,
        constants: &super::Arena<super::Constant>,
    ) -> Result<u32, crate::arena::BadHandle> {
        Ok(match *self {
            Self::Scalar { kind: _, width } | Self::Atomic { kind: _, width } => width as u32,
            Self::Vector {
                size,
                kind: _,
                width,
            } => size as u32 * width as u32,
            // matrices are treated as arrays of aligned columns
            Self::Matrix {
                columns,
                rows,
                width,
            } => Alignment::from(rows) * width as u32 * columns as u32,
            Self::Pointer { .. } | Self::ValuePointer { .. } => POINTER_SPAN,
            Self::Array {
                base: _,
                size,
                stride,
            } => {
                let count = match size {
                    super::ArraySize::Constant(handle) => {
                        let constant = constants.try_get(handle)?;
                        constant.to_array_length().unwrap_or(1)
                    }
                    // A dynamically-sized array has to have at least one element
                    super::ArraySize::Dynamic => 1,
                };
                count * stride
            }
            Self::Struct { span, .. } => span,
            Self::Image { .. } | Self::Sampler { .. } | Self::BindingArray { .. } => 0,
        })
    }

    /// Get the size of this type. Panics if the `constants` doesn't contain
    /// a referenced handle. This may not happen in a properly validated IR module.
    pub fn size(&self, constants: &super::Arena<super::Constant>) -> u32 {
        self.try_size(constants).unwrap()
    }

    /// Return the canonical form of `self`, or `None` if it's already in
    /// canonical form.
    ///
    /// Certain types have multiple representations in `TypeInner`. This
    /// function converts all forms of equivalent types to a single
    /// representative of their class, so that simply applying `Eq` to the
    /// result indicates whether the types are equivalent, as far as Naga IR is
    /// concerned.
    pub fn canonical_form(
        &self,
        types: &crate::UniqueArena<crate::Type>,
    ) -> Option<crate::TypeInner> {
        use crate::TypeInner as Ti;
        match *self {
            Ti::Pointer { base, space } => match types[base].inner {
                Ti::Scalar { kind, width } => Some(Ti::ValuePointer {
                    size: None,
                    kind,
                    width,
                    space,
                }),
                Ti::Vector { size, kind, width } => Some(Ti::ValuePointer {
                    size: Some(size),
                    kind,
                    width,
                    space,
                }),
                _ => None,
            },
            _ => None,
        }
    }

    /// Compare `self` and `rhs` as types.
    ///
    /// This is mostly the same as `<TypeInner as Eq>::eq`, but it treats
    /// `ValuePointer` and `Pointer` types as equivalent.
    ///
    /// When you know that one side of the comparison is never a pointer, it's
    /// fine to not bother with canonicalization, and just compare `TypeInner`
    /// values with `==`.
    pub fn equivalent(
        &self,
        rhs: &crate::TypeInner,
        types: &crate::UniqueArena<crate::Type>,
    ) -> bool {
        let left = self.canonical_form(types);
        let right = rhs.canonical_form(types);
        left.as_ref().unwrap_or(self) == right.as_ref().unwrap_or(rhs)
    }

    pub fn is_dynamically_sized(&self, types: &crate::UniqueArena<crate::Type>) -> bool {
        use crate::TypeInner as Ti;
        match *self {
            Ti::Array { size, .. } => size == crate::ArraySize::Dynamic,
            Ti::Struct { ref members, .. } => members
                .last()
                .map(|last| types[last.ty].inner.is_dynamically_sized(types))
                .unwrap_or(false),
            _ => false,
        }
    }
}

impl super::AddressSpace {
    pub fn access(self) -> crate::StorageAccess {
        use crate::StorageAccess as Sa;
        match self {
            crate::AddressSpace::Function
            | crate::AddressSpace::Private
            | crate::AddressSpace::WorkGroup => Sa::LOAD | Sa::STORE,
            crate::AddressSpace::Uniform => Sa::LOAD,
            crate::AddressSpace::Storage { access } => access,
            crate::AddressSpace::Handle => Sa::LOAD,
            crate::AddressSpace::PushConstant => Sa::LOAD,
        }
    }
}

impl super::MathFunction {
    pub const fn argument_count(&self) -> usize {
        match *self {
            // comparison
            Self::Abs => 1,
            Self::Min => 2,
            Self::Max => 2,
            Self::Clamp => 3,
            Self::Saturate => 1,
            // trigonometry
            Self::Cos => 1,
            Self::Cosh => 1,
            Self::Sin => 1,
            Self::Sinh => 1,
            Self::Tan => 1,
            Self::Tanh => 1,
            Self::Acos => 1,
            Self::Asin => 1,
            Self::Atan => 1,
            Self::Atan2 => 2,
            Self::Asinh => 1,
            Self::Acosh => 1,
            Self::Atanh => 1,
            Self::Radians => 1,
            Self::Degrees => 1,
            // decomposition
            Self::Ceil => 1,
            Self::Floor => 1,
            Self::Round => 1,
            Self::Fract => 1,
            Self::Trunc => 1,
            Self::Modf => 2,
            Self::Frexp => 2,
            Self::Ldexp => 2,
            // exponent
            Self::Exp => 1,
            Self::Exp2 => 1,
            Self::Log => 1,
            Self::Log2 => 1,
            Self::Pow => 2,
            // geometry
            Self::Dot => 2,
            Self::Outer => 2,
            Self::Cross => 2,
            Self::Distance => 2,
            Self::Length => 1,
            Self::Normalize => 1,
            Self::FaceForward => 3,
            Self::Reflect => 2,
            Self::Refract => 3,
            // computational
            Self::Sign => 1,
            Self::Fma => 3,
            Self::Mix => 3,
            Self::Step => 2,
            Self::SmoothStep => 3,
            Self::Sqrt => 1,
            Self::InverseSqrt => 1,
            Self::Inverse => 1,
            Self::Transpose => 1,
            Self::Determinant => 1,
            // bits
            Self::CountOneBits => 1,
            Self::ReverseBits => 1,
            Self::ExtractBits => 3,
            Self::InsertBits => 4,
            Self::FindLsb => 1,
            Self::FindMsb => 1,
            // data packing
            Self::Pack4x8snorm => 1,
            Self::Pack4x8unorm => 1,
            Self::Pack2x16snorm => 1,
            Self::Pack2x16unorm => 1,
            Self::Pack2x16float => 1,
            // data unpacking
            Self::Unpack4x8snorm => 1,
            Self::Unpack4x8unorm => 1,
            Self::Unpack2x16snorm => 1,
            Self::Unpack2x16unorm => 1,
            Self::Unpack2x16float => 1,
        }
    }
}

impl crate::Expression {
    /// Returns true if the expression is considered emitted at the start of a function.
    pub const fn needs_pre_emit(&self) -> bool {
        match *self {
            Self::Constant(_)
            | Self::FunctionArgument(_)
            | Self::GlobalVariable(_)
            | Self::LocalVariable(_) => true,
            _ => false,
        }
    }

    /// Return true if this expression is a dynamic array index, for [`Access`].
    ///
    /// This method returns true if this expression is a dynamically computed
    /// index, and as such can only be used to index matrices and arrays when
    /// they appear behind a pointer. See the documentation for [`Access`] for
    /// details.
    ///
    /// Note, this does not check the _type_ of the given expression. It's up to
    /// the caller to establish that the `Access` expression is well-typed
    /// through other means, like [`ResolveContext`].
    ///
    /// [`Access`]: crate::Expression::Access
    /// [`ResolveContext`]: crate::proc::ResolveContext
    pub fn is_dynamic_index(&self, module: &crate::Module) -> bool {
        if let Self::Constant(handle) = *self {
            let constant = &module.constants[handle];
            constant.specialization.is_some()
        } else {
            true
        }
    }
}

impl crate::Function {
    /// Return the global variable being accessed by the expression `pointer`.
    ///
    /// Assuming that `pointer` is a series of `Access` and `AccessIndex`
    /// expressions that ultimately access some part of a `GlobalVariable`,
    /// return a handle for that global.
    ///
    /// If the expression does not ultimately access a global variable, return
    /// `None`.
    pub fn originating_global(
        &self,
        mut pointer: crate::Handle<crate::Expression>,
    ) -> Option<crate::Handle<crate::GlobalVariable>> {
        loop {
            pointer = match self.expressions[pointer] {
                crate::Expression::Access { base, .. } => base,
                crate::Expression::AccessIndex { base, .. } => base,
                crate::Expression::GlobalVariable(handle) => return Some(handle),
                crate::Expression::LocalVariable(_) => return None,
                crate::Expression::FunctionArgument(_) => return None,
                // There are no other expressions that produce pointer values.
                _ => unreachable!(),
            }
        }
    }
}

impl crate::SampleLevel {
    pub const fn implicit_derivatives(&self) -> bool {
        match *self {
            Self::Auto | Self::Bias(_) => true,
            Self::Zero | Self::Exact(_) | Self::Gradient { .. } => false,
        }
    }
}

impl crate::Constant {
    /// Interpret this constant as an array length, and return it as a `u32`.
    ///
    /// Ignore any specialization available for this constant; return its
    /// unspecialized value.
    ///
    /// If the constant has an inappropriate kind (non-scalar or non-integer) or
    /// value (negative, out of range for u32), return `None`. This usually
    /// indicates an error, but only the caller has enough information to report
    /// the error helpfully: in back ends, it's a validation error, but in front
    /// ends, it may indicate ill-formed input (for example, a SPIR-V
    /// `OpArrayType` referring to an inappropriate `OpConstant`). So we return
    /// `Option` and let the caller sort things out.
    pub(crate) fn to_array_length(&self) -> Option<u32> {
        use std::convert::TryInto;
        match self.inner {
            crate::ConstantInner::Scalar { value, width: _ } => match value {
                crate::ScalarValue::Uint(value) => value.try_into().ok(),
                // Accept a signed integer size to avoid
                // requiring an explicit uint
                // literal. Type inference should make
                // this unnecessary.
                crate::ScalarValue::Sint(value) => value.try_into().ok(),
                _ => None,
            },
            // caught by type validation
            crate::ConstantInner::Composite { .. } => None,
        }
    }
}

impl crate::Binding {
    pub const fn to_built_in(&self) -> Option<crate::BuiltIn> {
        match *self {
            crate::Binding::BuiltIn(built_in) => Some(built_in),
            Self::Location { .. } => None,
        }
    }
}

//TODO: should we use an existing crate for hashable floats?
impl PartialEq for crate::ScalarValue {
    fn eq(&self, other: &Self) -> bool {
        match (*self, *other) {
            (Self::Uint(a), Self::Uint(b)) => a == b,
            (Self::Sint(a), Self::Sint(b)) => a == b,
            (Self::Float(a), Self::Float(b)) => a.to_bits() == b.to_bits(),
            (Self::Bool(a), Self::Bool(b)) => a == b,
            _ => false,
        }
    }
}
impl Eq for crate::ScalarValue {}
impl std::hash::Hash for crate::ScalarValue {
    fn hash<H: std::hash::Hasher>(&self, hasher: &mut H) {
        match *self {
            Self::Sint(v) => v.hash(hasher),
            Self::Uint(v) => v.hash(hasher),
            Self::Float(v) => v.to_bits().hash(hasher),
            Self::Bool(v) => v.hash(hasher),
        }
    }
}

impl super::SwizzleComponent {
    pub const XYZW: [Self; 4] = [Self::X, Self::Y, Self::Z, Self::W];

    pub const fn index(&self) -> u32 {
        match *self {
            Self::X => 0,
            Self::Y => 1,
            Self::Z => 2,
            Self::W => 3,
        }
    }
    pub const fn from_index(idx: u32) -> Self {
        match idx {
            0 => Self::X,
            1 => Self::Y,
            2 => Self::Z,
            _ => Self::W,
        }
    }
}

impl super::ImageClass {
    pub const fn is_multisampled(self) -> bool {
        match self {
            crate::ImageClass::Sampled { multi, .. } | crate::ImageClass::Depth { multi } => multi,
            crate::ImageClass::Storage { .. } => false,
        }
    }

    pub const fn is_mipmapped(self) -> bool {
        match self {
            crate::ImageClass::Sampled { multi, .. } | crate::ImageClass::Depth { multi } => !multi,
            crate::ImageClass::Storage { .. } => false,
        }
    }
}

#[test]
fn test_matrix_size() {
    let constants = crate::Arena::new();
    assert_eq!(
        crate::TypeInner::Matrix {
            columns: crate::VectorSize::Tri,
            rows: crate::VectorSize::Tri,
            width: 4
        }
        .size(&constants),
        48,
    );
}


================================================
FILE: lib/naga/src/proc/namer.rs
================================================
use crate::{arena::Handle, FastHashMap, FastHashSet};
use std::borrow::Cow;

pub type EntryPointIndex = u16;
const SEPARATOR: char = '_';

#[derive(Debug, Eq, Hash, PartialEq)]
pub enum NameKey {
    Constant(Handle<crate::Constant>),
    GlobalVariable(Handle<crate::GlobalVariable>),
    Type(Handle<crate::Type>),
    StructMember(Handle<crate::Type>, u32),
    Function(Handle<crate::Function>),
    FunctionArgument(Handle<crate::Function>, u32),
    FunctionLocal(Handle<crate::Function>, Handle<crate::LocalVariable>),
    EntryPoint(EntryPointIndex),
    EntryPointLocal(EntryPointIndex, Handle<crate::LocalVariable>),
    EntryPointArgument(EntryPointIndex, u32),
}

/// This processor assigns names to all the things in a module
/// that may need identifiers in a textual backend.
#[derive(Default)]
pub struct Namer {
    /// The last numeric suffix used for each base name. Zero means "no suffix".
    unique: FastHashMap<String, u32>,
    keywords: FastHashSet<String>,
    reserved_prefixes: Vec<String>,
}

impl Namer {
    /// Return a form of `string` suitable for use as the base of an identifier.
    ///
    /// - Drop leading digits.
    /// - Retain only alphanumeric and `_` characters.
    /// - Avoid prefixes in [`Namer::reserved_prefixes`].
    ///
    /// The return value is a valid identifier prefix in all of Naga's output languages,
    /// and it never ends with a `SEPARATOR` character.
    /// It is used as a key into the unique table.
    fn sanitize<'s>(&self, string: &'s str) -> Cow<'s, str> {
        let string = string
            .trim_start_matches(|c: char| c.is_numeric())
            .trim_end_matches(SEPARATOR);

        let base = if !string.is_empty()
            && string
                .chars()
                .all(|c: char| c.is_ascii_alphanumeric() || c == '_')
        {
            Cow::Borrowed(string)
        } else {
            let mut filtered = string
                .chars()
                .filter(|&c| c.is_ascii_alphanumeric() || c == '_')
                .collect::<String>();
            let stripped_len = filtered.trim_end_matches(SEPARATOR).len();
            filtered.truncate(stripped_len);
            if filtered.is_empty() {
                filtered.push_str("unnamed");
            }
            Cow::Owned(filtered)
        };

        for prefix in &self.reserved_prefixes {
            if base.starts_with(prefix) {
                return format!("gen_{}", base).into();
            }
        }

        base
    }

    /// Return a new identifier based on `label_raw`.
    ///
    /// The result:
    /// - is a valid identifier even if `label_raw` is not
    /// - conflicts with no keywords listed in `Namer::keywords`, and
    /// - is different from any identifier previously constructed by this
    ///   `Namer`.
    ///
    /// Guarantee uniqueness by applying a numeric suffix when necessary. If `label_raw`
    /// itself ends with digits, separate them from the suffix with an underscore.
    pub fn call(&mut self, label_raw: &str) -> String {
        use std::fmt::Write as _; // for write!-ing to Strings

        let base = self.sanitize(label_raw);
        debug_assert!(!base.is_empty() && !base.ends_with(SEPARATOR));

        // This would seem to be a natural place to use `HashMap::entry`. However, `entry`
        // requires an owned key, and we'd like to avoid heap-allocating strings we're
        // just going to throw away. The approach below double-hashes only when we create
        // a new entry, in which case the heap allocation of the owned key was more
        // expensive anyway.
        match self.unique.get_mut(base.as_ref()) {
            Some(count) => {
                *count += 1;
                // Add the suffix. This may fit in base's existing allocation.
                let mut suffixed = base.into_owned();
                write!(suffixed, "{}{}", SEPARATOR, *count).unwrap();
                suffixed
            }
            None => {
                let mut suffixed = base.to_string();
                if base.ends_with(char::is_numeric) || self.keywords.contains(base.as_ref()) {
                    suffixed.push(SEPARATOR);
                }
                debug_assert!(!self.keywords.contains(&suffixed));
                // `self.unique` wants to own its keys. This allocates only if we haven't
                // already done so earlier.
                self.unique.insert(base.into_owned(), 0);
                suffixed
            }
        }
    }

    pub fn call_or(&mut self, label: &Option<String>, fallback: &str) -> String {
        self.call(match *label {
            Some(ref name) => name,
            None => fallback,
        })
    }

    /// Enter a local namespace for things like structs.
    ///
    /// Struct member names only need to be unique amongst themselves, not
    /// globally. This function temporarily establishes a fresh, empty naming
    /// context for the duration of the call to `body`.
    fn namespace(&mut self, capacity: usize, body: impl FnOnce(&mut Self)) {
        let fresh = FastHashMap::with_capacity_and_hasher(capacity, Default::default());
        let outer = std::mem::replace(&mut self.unique, fresh);
        body(self);
        self.unique = outer;
    }

    pub fn reset(
        &mut self,
        module: &crate::Module,
        reserved_keywords: &[&str],
        reserved_prefixes: &[&str],
        output: &mut FastHashMap<NameKey, String>,
    ) {
        self.reserved_prefixes.clear();
        self.reserved_prefixes
            .extend(reserved_prefixes.iter().map(|string| string.to_string()));

        self.unique.clear();
        self.keywords.clear();
        self.keywords
            .extend(reserved_keywords.iter().map(|string| (string.to_string())));
        let mut temp = String::new();

        for (ty_handle, ty) in module.types.iter() {
            let ty_name = self.call_or(&ty.name, "type");
            output.insert(NameKey::Type(ty_handle), ty_name);

            if let crate::TypeInner::Struct { ref members, .. } = ty.inner {
                // struct members have their own namespace, because access is always prefixed
                self.namespace(members.len(), |namer| {
                    for (index, member) in members.iter().enumerate() {
                        let name = namer.call_or(&member.name, "member");
                        output.insert(NameKey::StructMember(ty_handle, index as u32), name);
                    }
                })
            }
        }

        for (ep_index, ep) in module.entry_points.iter().enumerate() {
            let ep_name = self.call(&ep.name);
            output.insert(NameKey::EntryPoint(ep_index as _), ep_name);
            for (index, arg) in ep.function.arguments.iter().enumerate() {
                let name = self.call_or(&arg.name, "param");
                output.insert(
                    NameKey::EntryPointArgument(ep_index as _, index as u32),
                    name,
                );
            }
            for (handle, var) in ep.function.local_variables.iter() {
                let name = self.call_or(&var.name, "local");
                output.insert(NameKey::EntryPointLocal(ep_index as _, handle), name);
            }
        }

        for (fun_handle, fun) in module.functions.iter() {
            let fun_name = self.call_or(&fun.name, "function");
            output.insert(NameKey::Function(fun_handle), fun_name);
            for (index, arg) in fun.arguments.iter().enumerate() {
                let name = self.call_or(&arg.name, "param");
                output.insert(NameKey::FunctionArgument(fun_handle, index as u32), name);
            }
            for (handle, var) in fun.local_variables.iter() {
                let name = self.call_or(&var.name, "local");
                output.insert(NameKey::FunctionLocal(fun_handle, handle), name);
            }
        }

        for (handle, var) in module.global_variables.iter() {
            let name = self.call_or(&var.name, "global");
            output.insert(NameKey::GlobalVariable(handle), name);
        }

        for (handle, constant) in module.constants.iter() {
            let label = match constant.name {
                Some(ref name) => name,
                None => {
                    use std::fmt::Write;
                    // Try to be more descriptive about the constant values
                    temp.clear();
                    match constant.inner {
                        crate::ConstantInner::Scalar {
                            width: _,
                            value: crate::ScalarValue::Sint(v),
                        } => write!(temp, "const_{}i", v),
                        crate::ConstantInner::Scalar {
                            width: _,
                            value: crate::ScalarValue::Uint(v),
                        } => write!(temp, "const_{}u", v),
                        crate::ConstantInner::Scalar {
                            width: _,
                            value: crate::ScalarValue::Float(v),
                        } => {
                            let abs = v.abs();
                            write!(
                                temp,
                                "const_{}{}",
                                if v < 0.0 { "n" } else { "" },
                                abs.trunc(),
                            )
                            .unwrap();
                            let fract = abs.fract();
                            if fract == 0.0 {
                                write!(temp, "f")
                            } else {
                                write!(temp, "_{:02}f", (fract * 100.0) as i8)
                            }
                        }
                        crate::ConstantInner::Scalar {
                            width: _,
                            value: crate::ScalarValue::Bool(v),
                        } => write!(temp, "const_{}", v),
                        crate::ConstantInner::Composite { ty, components: _ } => {
                            write!(temp, "const_{}", output[&NameKey::Type(ty)])
                        }
                    }
                    .unwrap();
                    &temp
                }
            };
            let name = self.call(label);
            output.insert(NameKey::Constant(handle), name);
        }
    }
}

#[test]
fn test() {
    let mut namer = Namer::default();
    assert_eq!(namer.call("x"), "x");
    assert_eq!(namer.call("x"), "x_1");
    assert_eq!(namer.call("x1"), "x1_");
}


================================================
FILE: lib/naga/src/proc/terminator.rs
================================================
/// Ensure that the given block has return statements
/// at the end of its control flow.
///
/// Note: we don't want to blindly append a return statement
/// to the end, because it may be either redundant or invalid,
/// e.g. when the user already has returns in if/else branches.
pub fn ensure_block_returns(block: &mut crate::Block) {
    use crate::Statement as S;
    match block.last_mut() {
        Some(&mut S::Block(ref mut b)) => {
            ensure_block_returns(b);
        }
        Some(&mut S::If {
            condition: _,
            ref mut accept,
            ref mut reject,
        }) => {
            ensure_block_returns(accept);
            ensure_block_returns(reject);
        }
        Some(&mut S::Switch {
            selector: _,
            ref mut cases,
        }) => {
            for case in cases.iter_mut() {
                if !case.fall_through {
                    ensure_block_returns(&mut case.body);
                }
            }
        }
        Some(&mut (S::Emit(_) | S::Break | S::Continue | S::Return { .. } | S::Kill)) => (),
        Some(
            &mut (S::Loop { .. }
            | S::Store { .. }
            | S::ImageStore { .. }
            | S::Call { .. }
            | S::Atomic { .. }
            | S::Barrier(_)),
        )
        | None => block.push(S::Return { value: None }, Default::default()),
    }
}


================================================
FILE: lib/naga/src/proc/typifier.rs
================================================
use crate::arena::{Arena, BadHandle, Handle, UniqueArena};

use thiserror::Error;

/// The result of computing an expression's type.
///
/// This is the (Rust) type returned by [`ResolveContext::resolve`] to represent
/// the (Naga) type it ascribes to some expression.
///
/// You might expect such a function to simply return a `Handle<Type>`. However,
/// we want type resolution to be a read-only process, and that would limit the
/// possible results to types already present in the expression's associated
/// `UniqueArena<Type>`. Naga IR does have certain expressions whose types are
/// not certain to be present.
///
/// So instead, type resolution returns a `TypeResolution` enum: either a
/// [`Handle`], referencing some type in the arena, or a [`Value`], holding a
/// free-floating [`TypeInner`]. This extends the range to cover anything that
/// can be represented with a `TypeInner` referring to the existing arena.
///
/// What sorts of expressions can have types not available in the arena?
///
/// -   An [`Access`] or [`AccessIndex`] expression applied to a [`Vector`] or
///     [`Matrix`] must have a [`Scalar`] or [`Vector`] type. But since `Vector`
///     and `Matrix` represent their element and column types implicitly, not
///     via a handle, there may not be a suitable type in the expression's
///     associated arena. Instead, resolving such an expression returns a
///     `TypeResolution::Value(TypeInner::X { ... })`, where `X` is `Scalar` or
///     `Vector`.
///
/// -   Similarly, the type of an [`Access`] or [`AccessIndex`] expression
///     applied to a *pointer to* a vector or matrix must produce a *pointer to*
///     a scalar or vector type. These cannot be represented with a
///     [`TypeInner::Pointer`], since the `Pointer`'s `base` must point into the
///     arena, and as before, we cannot assume that a suitable scalar or vector
///     type is there. So we take things one step further and provide
///     [`TypeInner::ValuePointer`], specifically for the case of pointers to
///     scalars or vectors. This type fits in a `TypeInner` and is exactly
///     equivalent to a `Pointer` to a `Vector` or `Scalar`.
///
/// So, for example, the type of an `Access` expression applied to a value of type:
///
/// ```ignore
/// TypeInner::Matrix { columns, rows, width }
/// ```
///
/// might be:
///
/// ```ignore
/// TypeResolution::Value(TypeInner::Vector {
///     size: rows,
///     kind: ScalarKind::Float,
///     width,
/// })
/// ```
///
/// and the type of an access to a pointer of address space `space` to such a
/// matrix might be:
///
/// ```ignore
/// TypeResolution::Value(TypeInner::ValuePointer {
///     size: Some(rows),
///     kind: ScalarKind::Float,
///     width,
///     space,
/// })
/// ```
///
/// [`Handle`]: TypeResolution::Handle
/// [`Value`]: TypeResolution::Value
///
/// [`Access`]: crate::Expression::Access
/// [`AccessIndex`]: crate::Expression::AccessIndex
///
/// [`TypeInner`]: crate::TypeInner
/// [`Matrix`]: crate::TypeInner::Matrix
/// [`Pointer`]: crate::TypeInner::Pointer
/// [`Scalar`]: crate::TypeInner::Scalar
/// [`ValuePointer`]: crate::TypeInner::ValuePointer
/// [`Vector`]: crate::TypeInner::Vector
///
/// [`TypeInner::Pointer`]: crate::TypeInner::Pointer
/// [`TypeInner::ValuePointer`]: crate::TypeInner::ValuePointer
#[derive(Debug, PartialEq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub enum TypeResolution {
    /// A type stored in the associated arena.
    Handle(Handle<crate::Type>),

    /// A free-floating [`TypeInner`], representing a type that may not be
    /// available in the associated arena. However, the `TypeInner` itself may
    /// contain `Handle<Type>` values referring to types from the arena.
    ///
    /// [`TypeInner`]: crate::TypeInner
    Value(crate::TypeInner),
}

impl TypeResolution {
    pub const fn handle(&self) -> Option<Handle<crate::Type>> {
        match *self {
            Self::Handle(handle) => Some(handle),
            Self::Value(_) => None,
        }
    }

    pub fn inner_with<'a>(&'a self, arena: &'a UniqueArena<crate::Type>) -> &'a crate::TypeInner {
        match *self {
            Self::Handle(handle) => &arena[handle].inner,
            Self::Value(ref inner) => inner,
        }
    }
}

// Clone is only implemented for numeric variants of `TypeInner`.
impl Clone for TypeResolution {
    fn clone(&self) -> Self {
        use crate::TypeInner as Ti;
        match *self {
            Self::Handle(handle) => Self::Handle(handle),
            Self::Value(ref v) => Self::Value(match *v {
                Ti::Scalar { kind, width } => Ti::Scalar { kind, width },
                Ti::Vector { size, kind, width } => Ti::Vector { size, kind, width },
                Ti::Matrix {
                    rows,
                    columns,
                    width,
                } => Ti::Matrix {
                    rows,
                    columns,
                    width,
                },
                Ti::Pointer { base, space } => Ti::Pointer { base, space },
                Ti::ValuePointer {
                    size,
                    kind,
                    width,
                    space,
                } => Ti::ValuePointer {
                    size,
                    kind,
                    width,
                    space,
                },
                _ => unreachable!("Unexpected clone type: {:?}", v),
            }),
        }
    }
}

impl crate::ConstantInner {
    pub const fn resolve_type(&self) -> TypeResolution {
        match *self {
            Self::Scalar { width, ref value } => TypeResolution::Value(crate::TypeInner::Scalar {
                kind: value.scalar_kind(),
                width,
            }),
            Self::Composite { ty, components: _ } => TypeResolution::Handle(ty),
        }
    }
}

#[derive(Clone, Debug, Error, PartialEq)]
pub enum ResolveError {
    #[error(transparent)]
    BadHandle(#[from] BadHandle),
    #[error("Index {index} is out of bounds for expression {expr:?}")]
    OutOfBoundsIndex {
        expr: Handle<crate::Expression>,
        index: u32,
    },
    #[error("Invalid access into expression {expr:?}, indexed: {indexed}")]
    InvalidAccess {
        expr: Handle<crate::Expression>,
        indexed: bool,
    },
    #[error("Invalid sub-access into type {ty:?}, indexed: {indexed}")]
    InvalidSubAccess {
        ty: Handle<crate::Type>,
        indexed: bool,
    },
    #[error("Invalid scalar {0:?}")]
    InvalidScalar(Handle<crate::Expression>),
    #[error("Invalid vector {0:?}")]
    InvalidVector(Handle<crate::Expression>),
    #[error("Invalid pointer {0:?}")]
    InvalidPointer(Handle<crate::Expression>),
    #[error("Invalid image {0:?}")]
    InvalidImage(Handle<crate::Expression>),
    #[error("Function {name} not defined")]
    FunctionNotDefined { name: String },
    #[error("Function without return type")]
    FunctionReturnsVoid,
    #[error("Incompatible operands: {0}")]
    IncompatibleOperands(String),
    #[error("Function argument {0} doesn't exist")]
    FunctionArgumentNotFound(u32),
    #[error("Expression {0:?} depends on expressions that follow")]
    ExpressionForwardDependency(Handle<crate::Expression>),
}

pub struct ResolveContext<'a> {
    pub constants: &'a Arena<crate::Constant>,
    pub types: &'a UniqueArena<crate::Type>,
    pub global_vars: &'a Arena<crate::GlobalVariable>,
    pub local_vars: &'a Arena<crate::LocalVariable>,
    pub functions: &'a Arena<crate::Function>,
    pub arguments: &'a [crate::FunctionArgument],
}

impl<'a> ResolveContext<'a> {
    /// Determine the type of `expr`.
    ///
    /// The `past` argument must be a closure that can resolve the types of any
    /// expressions that `expr` refers to. These can be gathered by caching the
    /// results of prior calls to `resolve`, perhaps as done by the
    /// [`front::Typifier`] utility type.
    ///
    /// Type resolution is a read-only process: this method takes `self` by
    /// shared reference. However, this means that we cannot add anything to
    /// `self.types` that we might need to describe `expr`. To work around this,
    /// this method returns a [`TypeResolution`], rather than simply returning a
    /// `Handle<Type>`; see the documentation for [`TypeResolution`] for
    /// details.
    ///
    /// [`front::Typifier`]: crate::front::Typifier
    pub fn resolve(
        &self,
        expr: &crate::Expression,
        past: impl Fn(Handle<crate::Expression>) -> Result<&'a TypeResolution, ResolveError>,
    ) -> Result<TypeResolution, ResolveError> {
        use crate::TypeInner as Ti;
        let types = self.types;
        Ok(match *expr {
            crate::Expression::Access { base, .. } => match *past(base)?.inner_with(types) {
                // Arrays and matrices can only be indexed dynamically behind a
                // pointer, but that's a validation error, not a type error, so
                // go ahead provide a type here.
                Ti::Array { base, .. } => TypeResolution::Handle(base),
                Ti::Matrix { rows, width, .. } => TypeResolution::Value(Ti::Vector {
                    size: rows,
                    kind: crate::ScalarKind::Float,
                    width,
                }),
                Ti::Vector {
                    size: _,
                    kind,
                    width,
                } => TypeResolution::Value(Ti::Scalar { kind, width }),
                Ti::ValuePointer {
                    size: Some(_),
                    kind,
                    width,
                    space,
                } => TypeResolution::Value(Ti::ValuePointer {
                    size: None,
                    kind,
                    width,
                    space,
                }),
                Ti::Pointer { base, space } => {
                    TypeResolution::Value(match types[base].inner {
                        Ti::Array { base, .. } => Ti::Pointer { base, space },
                        Ti::Vector {
                            size: _,
                            kind,
                            width,
                        } => Ti::ValuePointer {
                            size: None,
                            kind,
                            width,
                            space,
                        },
                        // Matrices are only dynamically indexed behind a pointer
                        Ti::Matrix {
                            columns: _,
                            rows,
                            width,
                        } => Ti::ValuePointer {
                            kind: crate::ScalarKind::Float,
                            size: Some(rows),
                            width,
                            space,
                        },
                        ref other => {
                            log::error!("Access sub-type {:?}", other);
                            return Err(ResolveError::InvalidSubAccess {
                                ty: base,
                                indexed: false,
                            });
                        }
                    })
                }
                Ti::BindingArray { base, .. } => TypeResolution::Handle(base),
                ref other => {
                    log::error!("Access type {:?}", other);
                    return Err(ResolveError::InvalidAccess {
                        expr: base,
                        indexed: false,
                    });
                }
            },
            crate::Expression::AccessIndex { base, index } => {
                match *past(base)?.inner_with(types) {
                    Ti::Vector { size, kind, width } => {
                        if index >= size as u32 {
                            return Err(ResolveError::OutOfBoundsIndex { expr: base, index });
                        }
                        TypeResolution::Value(Ti::Scalar { kind, width })
                    }
                    Ti::Matrix {
                        columns,
                        rows,
                        width,
                    } => {
                        if index >= columns as u32 {
                            return Err(ResolveError::OutOfBoundsIndex { expr: base, index });
                        }
                        TypeResolution::Value(crate::TypeInner::Vector {
                            size: rows,
                            kind: crate::ScalarKind::Float,
                            width,
                        })
                    }
                    Ti::Array { base, .. } => TypeResolution::Handle(base),
                    Ti::Struct { ref members, .. } => {
                        let member = members
                            .get(index as usize)
                            .ok_or(ResolveError::OutOfBoundsIndex { expr: base, index })?;
                        TypeResolution::Handle(member.ty)
                    }
                    Ti::ValuePointer {
                        size: Some(size),
                        kind,
                        width,
                        space,
                    } => {
                        if index >= size as u32 {
                            return Err(ResolveError::OutOfBoundsIndex { expr: base, index });
                        }
                        TypeResolution::Value(Ti::ValuePointer {
                            size: None,
                            kind,
                            width,
                            space,
                        })
                    }
                    Ti::Pointer {
                        base: ty_base,
                        space,
                    } => TypeResolution::Value(match types[ty_base].inner {
                        Ti::Array { base, .. } => Ti::Pointer { base, space },
                        Ti::Vector { size, kind, width } => {
                            if index >= size as u32 {
                                return Err(ResolveError::OutOfBoundsIndex { expr: base, index });
                            }
                            Ti::ValuePointer {
                                size: None,
                                kind,
                                width,
                                space,
                            }
                        }
                        Ti::Matrix {
                            rows,
                            columns,
                            width,
                        } => {
                            if index >= columns as u32 {
                                return Err(ResolveError::OutOfBoundsIndex { expr: base, index });
                            }
                            Ti::ValuePointer {
                                size: Some(rows),
                                kind: crate::ScalarKind::Float,
                                width,
                                space,
                            }
                        }
                        Ti::Struct { ref members, .. } => {
                            let member = members
                                .get(index as usize)
                                .ok_or(ResolveError::OutOfBoundsIndex { expr: base, index })?;
                            Ti::Pointer {
                                base: member.ty,
                                space,
                            }
                        }
                        ref other => {
                            log::error!("Access index sub-type {:?}", other);
                            return Err(ResolveError::InvalidSubAccess {
                                ty: ty_base,
                                indexed: true,
                            });
                        }
                    }),
                    Ti::BindingArray { base, .. } => TypeResolution::Handle(base),
                    ref other => {
                        log::error!("Access index type {:?}", other);
                        return Err(ResolveError::InvalidAccess {
                            expr: base,
                            indexed: true,
                        });
                    }
                }
            }
            crate::Expression::Constant(h) => {
                let constant = self.constants.try_get(h)?;
                match constant.inner {
                    crate::ConstantInner::Scalar { width, ref value } => {
                        TypeResolution::Value(Ti::Scalar {
                            kind: value.scalar_kind(),
                            width,
                        })
                    }
                    crate::ConstantInner::Composite { ty, components: _ } => {
                        TypeResolution::Handle(ty)
                    }
                }
            }
            crate::Expression::Splat { size, value } => match *past(value)?.inner_with(types) {
                Ti::Scalar { kind, width } => {
                    TypeResolution::Value(Ti::Vector { size, kind, width })
                }
                ref other => {
                    log::error!("Scalar type {:?}", other);
                    return Err(ResolveError::InvalidScalar(value));
                }
            },
            crate::Expression::Swizzle {
                size,
                vector,
                pattern: _,
            } => match *past(vector)?.inner_with(types) {
                Ti::Vector {
                    size: _,
                    kind,
                    width,
                } => TypeResolution::Value(Ti::Vector { size, kind, width }),
                ref other => {
                    log::error!("Vector type {:?}", other);
                    return Err(ResolveError::InvalidVector(vector));
                }
            },
            crate::Expression::Compose { ty, .. } => TypeResolution::Handle(ty),
            crate::Expression::FunctionArgument(index) => {
                let arg = self
                    .arguments
                    .get(index as usize)
                    .ok_or(ResolveError::FunctionArgumentNotFound(index))?;
                TypeResolution::Handle(arg.ty)
            }
            crate::Expression::GlobalVariable(h) => {
                let var = self.global_vars.try_get(h)?;
                if var.space == crate::AddressSpace::Handle {
                    TypeResolution::Handle(var.ty)
                } else {
                    TypeResolution::Value(Ti::Pointer {
                        base: var.ty,
                        space: var.space,
                    })
                }
            }
            crate::Expression::LocalVariable(h) => {
                let var = self.local_vars.try_get(h)?;
                TypeResolution::Value(Ti::Pointer {
                    base: var.ty,
                    space: crate::AddressSpace::Function,
                })
            }
            crate::Expression::Load { pointer } => match *past(pointer)?.inner_with(types) {
                Ti::Pointer { base, space: _ } => {
                    if let Ti::Atomic { kind, width } = types[base].inner {
                        TypeResolution::Value(Ti::Scalar { kind, width })
                    } else {
                        TypeResolution::Handle(base)
                    }
                }
                Ti::ValuePointer {
                    size,
                    kind,
                    width,
                    space: _,
                } => TypeResolution::Value(match size {
                    Some(size) => Ti::Vector { size, kind, width },
                    None => Ti::Scalar { kind, width },
                }),
                ref other => {
                    log::error!("Pointer type {:?}", other);
                    return Err(ResolveError::InvalidPointer(pointer));
                }
            },
            crate::Expression::ImageSample {
                image,
                gather: Some(_),
                ..
            } => match *past(image)?.inner_with(types) {
                Ti::Image { class, .. } => TypeResolution::Value(Ti::Vector {
                    kind: match class {
                        crate::ImageClass::Sampled { kind, multi: _ } => kind,
                        _ => crate::ScalarKind::Float,
                    },
                    width: 4,
                    size: crate::VectorSize::Quad,
                }),
                ref other => {
                    log::error!("Image type {:?}", other);
                    return Err(ResolveError::InvalidImage(image));
                }
            },
            crate::Expression::ImageSample { image, .. }
            | crate::Expression::ImageLoad { image, .. } => match *past(image)?.inner_with(types) {
                Ti::Image { class, .. } => TypeResolution::Value(match class {
                    crate::ImageClass::Depth { multi: _ } => Ti::Scalar {
                        kind: crate::ScalarKind::Float,
                        width: 4,
                    },
                    crate::ImageClass::Sampled { kind, multi: _ } => Ti::Vector {
                        kind,
                        width: 4,
                        size: crate::VectorSize::Quad,
                    },
                    crate::ImageClass::Storage { format, .. } => Ti::Vector {
                        kind: format.into(),
                        width: 4,
                        size: crate::VectorSize::Quad,
                    },
                }),
                ref other => {
                    log::error!("Image type {:?}", other);
                    return Err(ResolveError::InvalidImage(image));
                }
            },
            crate::Expression::ImageQuery { image, query } => TypeResolution::Value(match query {
                crate::ImageQuery::Size { level: _ } => match *past(image)?.inner_with(types) {
                    Ti::Image { dim, .. } => match dim {
                        crate::ImageDimension::D1 => Ti::Scalar {
                            kind: crate::ScalarKind::Sint,
                            width: 4,
                        },
                        crate::ImageDimension::D2 | crate::ImageDimension::Cube => Ti::Vector {
                            size: crate::VectorSize::Bi,
                            kind: crate::ScalarKind::Sint,
                            width: 4,
                        },
                        crate::ImageDimension::D3 => Ti::Vector {
                            size: crate::VectorSize::Tri,
                            kind: crate::ScalarKind::Sint,
                            width: 4,
                        },
                    },
                    ref other => {
                        log::error!("Image type {:?}", other);
                        return Err(ResolveError::InvalidImage(image));
                    }
                },
                crate::ImageQuery::NumLevels
                | crate::ImageQuery::NumLayers
                | crate::ImageQuery::NumSamples => Ti::Scalar {
                    kind: crate::ScalarKind::Sint,
                    width: 4,
                },
            }),
            crate::Expression::Unary { expr, .. } => past(expr)?.clone(),
            crate::Expression::Binary { op, left, right } => match op {
                crate::BinaryOperator::Add
                | crate::BinaryOperator::Subtract
                | crate::BinaryOperator::Divide
                | crate::BinaryOperator::Modulo => past(left)?.clone(),
                crate::BinaryOperator::Multiply => {
                    let (res_left, res_right) = (past(left)?, past(right)?);
                    match (res_left.inner_with(types), res_right.inner_with(types)) {
                        (
                            &Ti::Matrix {
                                columns: _,
                                rows,
                                width,
                            },
                            &Ti::Matrix { columns, .. },
                        ) => TypeResolution::Value(Ti::Matrix {
                            columns,
                            rows,
                            width,
                        }),
                        (
                            &Ti::Matrix {
                                columns: _,
                                rows,
                                width,
                            },
                            &Ti::Vector { .. },
                        ) => TypeResolution::Value(Ti::Vector {
                            size: rows,
                            kind: crate::ScalarKind::Float,
                            width,
                        }),
                        (
                            &Ti::Vector { .. },
                            &Ti::Matrix {
                                columns,
                                rows: _,
                                width,
                            },
                        ) => TypeResolution::Value(Ti::Vector {
                            size: columns,
                            kind: crate::ScalarKind::Float,
                            width,
                        }),
                        (&Ti::Scalar { .. }, _) => res_right.clone(),
                        (_, &Ti::Scalar { .. }) => res_left.clone(),
                        (&Ti::Vector { .. }, &Ti::Vector { .. }) => res_left.clone(),
                        (tl, tr) => {
                            return Err(ResolveError::IncompatibleOperands(format!(
                                "{:?} * {:?}",
                                tl, tr
                            )))
                        }
                    }
                }
                crate::BinaryOperator::Equal
                | crate::BinaryOperator::NotEqual
                | crate::BinaryOperator::Less
                | crate::BinaryOperator::LessEqual
                | crate::BinaryOperator::Greater
                | crate::BinaryOperator::GreaterEqual
                | crate::BinaryOperator::LogicalAnd
                | crate::BinaryOperator::LogicalOr => {
                    let kind = crate::ScalarKind::Bool;
                    let width = crate::BOOL_WIDTH;
                    let inner = match *past(left)?.inner_with(types) {
                        Ti::Scalar { .. } => Ti::Scalar { kind, width },
                        Ti::Vector { size, .. } => Ti::Vector { size, kind, width },
                        ref other => {
                            return Err(ResolveError::IncompatibleOperands(format!(
                                "{:?}({:?}, _)",
                                op, other
                            )))
                        }
                    };
                    TypeResolution::Value(inner)
                }
                crate::BinaryOperator::And
                | crate::BinaryOperator::ExclusiveOr
                | crate::BinaryOperator::InclusiveOr
                | crate::BinaryOperator::ShiftLeft
                | crate::BinaryOperator::ShiftRight => past(left)?.clone(),
            },
            crate::Expression::AtomicResult {
                kind,
                width,
                ..
            } => {
                TypeResolution::Value(Ti::Scalar { kind, width })
            }
            crate::Expression::Select { accept, .. } => past(accept)?.clone(),
            crate::Expression::Derivative { axis: _, expr } => past(expr)?.clone(),
            crate::Expression::Relational { fun, argument } => match fun {
                crate::RelationalFunction::All | crate::RelationalFunction::Any => {
                    TypeResolution::Value(Ti::Scalar {
                        kind: crate::ScalarKind::Bool,
                        width: crate::BOOL_WIDTH,
                    })
                }
                crate::RelationalFunction::IsNan
                | crate::RelationalFunction::IsInf
                | crate::RelationalFunction::IsFinite
                | crate::RelationalFunction::IsNormal => match *past(argument)?.inner_with(types) {
                    Ti::Scalar { .. } => TypeResolution::Value(Ti::Scalar {
                        kind: crate::ScalarKind::Bool,
                        width: crate::BOOL_WIDTH,
                    }),
                    Ti::Vector { size, .. } => TypeResolution::Value(Ti::Vector {
                        kind: crate::ScalarKind::Bool,
                        width: crate::BOOL_WIDTH,
                        size,
                    }),
                    ref other => {
                        return Err(ResolveError::IncompatibleOperands(format!(
                            "{:?}({:?})",
                            fun, other
                        )))
                    }
                },
            },
            crate::Expression::Math {
                fun,
                arg,
                arg1,
                arg2: _,
                arg3: _,
            } => {
                use crate::MathFunction as Mf;
                let res_arg = past(arg)?;
                match fun {
                    // comparison
                    Mf::Abs |
                    Mf::Min |
                    Mf::Max |
                    Mf::Clamp |
                    Mf::Saturate |
                    // trigonometry
                    Mf::Cos |
                    Mf::Cosh |
                    Mf::Sin |
                    Mf::Sinh |
                    Mf::Tan |
                    Mf::Tanh |
                    Mf::Acos |
                    Mf::Asin |
                    Mf::Atan |
                    Mf::Atan2 |
                    Mf::Asinh |
                    Mf::Acosh |
                    Mf::Atanh |
                    Mf::Radians |
                    Mf::Degrees |
                    // decomposition
                    Mf::Ceil |
                    Mf::Floor |
                    Mf::Round |
                    Mf::Fract |
                    Mf::Trunc |
                    Mf::Modf |
                    Mf::Frexp |
                    Mf::Ldexp |
                    // exponent
                    Mf::Exp |
                    Mf::Exp2 |
                    Mf::Log |
                    Mf::Log2 |
                    Mf::Pow => res_arg.clone(),
                    // geometry
                    Mf::Dot => match *res_arg.inner_with(types) {
                        Ti::Vector {
                            kind,
                            size: _,
                            width,
                        } => TypeResolution::Value(Ti::Scalar { kind, width }),
                        ref other =>
                            return Err(ResolveError::IncompatibleOperands(
                                format!("{:?}({:?}, _)", fun, other)
                            )),
                    },
                    Mf::Outer => {
                        let arg1 = arg1.ok_or_else(|| ResolveError::IncompatibleOperands(
                            format!("{:?}(_, None)", fun)
                        ))?;
                        match (res_arg.inner_with(types), past(arg1)?.inner_with(types)) {
                            (&Ti::Vector {kind: _, size: columns,width}, &Ti::Vector{ size: rows, .. }) => TypeResolution::Value(Ti::Matrix { columns, rows, width }),
                            (left, right) =>
                                return Err(ResolveError::IncompatibleOperands(
                                    format!("{:?}({:?}, {:?})", fun, left, right)
                                )),
                        }
                    },
                    Mf::Cross => res_arg.clone(),
                    Mf::Distance |
                    Mf::Length => match *res_arg.inner_with(types) {
                        Ti::Scalar {width,kind} |
                        Ti::Vector {width,kind,size:_} => TypeResolution::Value(Ti::Scalar { kind, width }),
                        ref other => return Err(ResolveError::IncompatibleOperands(
                                format!("{:?}({:?})", fun, other)
                            )),
                    },
                    Mf::Normalize |
                    Mf::FaceForward |
                    Mf::Reflect |
                    Mf::Refract => res_arg.clone(),
                    // computational
                    Mf::Sign |
                    Mf::Fma |
                    Mf::Mix |
                    Mf::Step |
                    Mf::SmoothStep |
                    Mf::Sqrt |
                    Mf::InverseSqrt => res_arg.clone(),
                    Mf::Transpose => match *res_arg.inner_with(types) {
                        Ti::Matrix {
                            columns,
                            rows,
                            width,
                        } => TypeResolution::Value(Ti::Matrix {
                            columns: rows,
                            rows: columns,
                            width,
                        }),
                        ref other => return Err(ResolveError::IncompatibleOperands(
                            format!("{:?}({:?})", fun, other)
                        )),
                    },
                    Mf::Inverse => match *res_arg.inner_with(types) {
                        Ti::Matrix {
                            columns,
                            rows,
                            width,
                        } if columns == rows => TypeResolution::Value(Ti::Matrix {
                            columns,
                            rows,
                            width,
                        }),
                        ref other => return Err(ResolveError::IncompatibleOperands(
                            format!("{:?}({:?})", fun, other)
                        )),
                    },
                    Mf::Determinant => match *res_arg.inner_with(types) {
                        Ti::Matrix {
                            width,
                            ..
                        } => TypeResolution::Value(Ti::Scalar { kind: crate::ScalarKind::Float, width }),
                        ref other => return Err(ResolveError::IncompatibleOperands(
                            format!("{:?}({:?})", fun, other)
                        )),
                    },
                    // bits
                    Mf::CountOneBits |
                    Mf::ReverseBits |
                    Mf::ExtractBits |
                    Mf::InsertBits |
                    Mf::FindLsb |
                    Mf::FindMsb => match *res_arg.inner_with(types)  {
                        Ti::Scalar { kind: kind @ (crate::ScalarKind::Sint | crate::ScalarKind::Uint), width } =>
                            TypeResolution::Value(Ti::Scalar { kind, width }),
                        Ti::Vector { size, kind: kind @ (crate::ScalarKind::Sint | crate::ScalarKind::Uint), width } =>
                            TypeResolution::Value(Ti::Vector { size, kind, width }),
                        ref other => return Err(ResolveError::IncompatibleOperands(
                                format!("{:?}({:?})", fun, other)
                            )),
                    },
                    // data packing
                    Mf::Pack4x8snorm |
                    Mf::Pack4x8unorm |
                    Mf::Pack2x16snorm |
                    Mf::Pack2x16unorm |
                    Mf::Pack2x16float => TypeResolution::Value(Ti::Scalar { kind: crate::ScalarKind::Uint, width: 4 }),
                    // data unpacking
                    Mf::Unpack4x8snorm |
                    Mf::Unpack4x8unorm => TypeResolution::Value(Ti::Vector { size: crate::VectorSize::Quad, kind: crate::ScalarKind::Float, width: 4 }),
                    Mf::Unpack2x16snorm |
                    Mf::Unpack2x16unorm |
                    Mf::Unpack2x16float => TypeResolution::Value(Ti::Vector { size: crate::VectorSize::Bi, kind: crate::ScalarKind::Float, width: 4 }),
                }
            }
            crate::Expression::As {
                expr,
                kind,
                convert,
            } => match *past(expr)?.inner_with(types) {
                Ti::Scalar { kind: _, width } => TypeResolution::Value(Ti::Scalar {
                    kind,
                    width: convert.unwrap_or(width),
                }),
                Ti::Vector {
                    kind: _,
                    size,
                    width,
                } => TypeResolution::Value(Ti::Vector {
                    kind,
                    size,
                    width: convert.unwrap_or(width),
                }),
                Ti::Matrix {
                    columns,
                    rows,
                    width,
                } => TypeResolution::Value(Ti::Matrix {
                    columns,
                    rows,
                    width: convert.unwrap_or(width),
                }),
                ref other => {
                    return Err(ResolveError::IncompatibleOperands(format!(
                        "{:?} as {:?}",
                        other, kind
                    )))
                }
            },
            crate::Expression::CallResult(function) => {
                let result = self.functions[function]
                    .result
                    .as_ref()
                    .ok_or(ResolveError::FunctionReturnsVoid)?;
                TypeResolution::Handle(result.ty)
            }
            crate::Expression::ArrayLength(_) => TypeResolution::Value(Ti::Scalar {
                kind: crate::ScalarKind::Uint,
                width: 4,
            }),
        })
    }
}

#[test]
fn test_error_size() {
    use std::mem::size_of;
    assert_eq!(size_of::<ResolveError>(), 32);
}


================================================
FILE: lib/naga/src/span.rs
================================================
use crate::{Arena, Handle, UniqueArena};
use std::{error::Error, fmt, ops::Range};

/// A source code span, used for error reporting.
#[derive(Clone, Copy, Debug, PartialEq, Default)]
#[cfg_attr(feature = "arbitrary", derive(arbitrary::Arbitrary))]
pub struct Span {
    start: u32,
    end: u32,
}

impl Span {
    pub const UNDEFINED: Self = Self { start: 0, end: 0 };
    /// Creates a new `Span` from a range of byte indices
    ///
    /// Note: end is exclusive, it doesn't belong to the `Span`
    pub const fn new(start: u32, end: u32) -> Self {
        Span { start, end }
    }

    /// Modifies `self` to contain the smallest `Span` possible that
    /// contains both `self` and `other`
    pub fn subsume(&mut self, other: Self) {
        *self = if !self.is_defined() {
            // self isn't defined so use other
            other
        } else if !other.is_defined() {
            // other isn't defined so don't try to subsume
            *self
        } else {
            // Both self and other are defined so calculate the span that contains them both
            Span {
                start: self.start.min(other.start),
                end: self.end.max(other.end),
            }
        }
    }

    /// Returns the smallest `Span` possible that contains all the `Span`s
    /// defined in the `from` iterator
    pub fn total_span<T: Iterator<Item = Self>>(from: T) -> Self {
        let mut span: Self = Default::default();
        for other in from {
            span.subsume(other);
        }
        span
    }

    /// Converts `self` to a range if the span is not unknown
    pub fn to_range(self) -> Option<Range<usize>> {
        if self.is_defined() {
            Some(self.start as usize..self.end as usize)
        } else {
            None
        }
    }

    /// Check whether `self` was defined or is a default/unknown span
    pub fn is_defined(&self) -> bool {
        *self != Self::default()
    }

    /// Return a [`SourceLocation`] for this span in the provided source.
    pub fn location(&self, source: &str) -> SourceLocation {
        let prefix = &source[..self.start as usize];
        let line_number = prefix.matches('\n').count() as u32 + 1;
        let line_start = prefix.rfind('\n').map(|pos| pos + 1).unwrap_or(0);
        let line_position = source[line_start..self.start as usize].chars().count() as u32 + 1;

        SourceLocation {
            line_number,
            line_position,
            offset: self.start,
            length: self.end - self.start,
        }
    }
}

impl From<Range<usize>> for Span {
    fn from(range: Range<usize>) -> Self {
        Span {
            start: range.start as u32,
            end: range.end as u32,
        }
    }
}

/// A human-readable representation for a span, tailored for text source.
///
/// Corresponds to the positional members of [`GPUCompilationMessage`][gcm] from
/// the WebGPU specification, except that `offset` and `length` are in bytes
/// (UTF-8 code units), instead of UTF-16 code units.
///
/// [gcm]: https://www.w3.org/TR/webgpu/#gpucompilationmessage
#[derive(Copy, Clone, Debug, PartialEq, Eq)]
pub struct SourceLocation {
    /// 1-based line number.
    pub line_number: u32,
    /// 1-based column of the start of this span
    pub line_position: u32,
    /// 0-based Offset in code units (in bytes) of the start of the span.
    pub offset: u32,
    /// Length in code units (in bytes) of the span.
    pub length: u32,
}

/// A source code span together with "context", a user-readable description of what part of the error it refers to.
pub type SpanContext = (Span, String);

/// Wrapper class for [`Error`], augmenting it with a list of [`SpanContext`]s.
#[derive(Debug, Clone)]
pub struct WithSpan<E> {
    inner: E,
    #[cfg(feature = "span")]
    spans: Vec<SpanContext>,
}

impl<E> fmt::Display for WithSpan<E>
where
    E: fmt::Display,
{
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> std::fmt::Result {
        self.inner.fmt(f)
    }
}

#[cfg(test)]
impl<E> PartialEq for WithSpan<E>
where
    E: PartialEq,
{
    fn eq(&self, other: &Self) -> bool {
        self.inner.eq(&other.inner)
    }
}

impl<E> Error for WithSpan<E>
where
    E: Error,
{
    fn source(&self) -> Option<&(dyn Error + 'static)> {
        self.inner.source()
    }
}

impl<E> WithSpan<E> {
    /// Create a new [`WithSpan`] from an [`Error`], containing no spans.
    pub const fn new(inner: E) -> Self {
        Self {
            inner,
            #[cfg(feature = "span")]
            spans: Vec::new(),
        }
    }

    /// Reverse of [`Self::new`], discards span information and returns an inner error.
    #[allow(clippy::missing_const_for_fn)] // ignore due to requirement of #![feature(const_precise_live_drops)]
    pub fn into_inner(self) -> E {
        self.inner
    }

    pub const fn as_inner(&self) -> &E {
        &self.inner
    }

    /// Iterator over stored [`SpanContext`]s.
    pub fn spans(&self) -> impl Iterator<Item = &SpanContext> + ExactSizeIterator {
        #[cfg(feature = "span")]
        return self.spans.iter();
        #[cfg(not(feature = "span"))]
        return std::iter::empty();
    }

    /// Add a new span with description.
    #[cfg_attr(not(feature = "span"), allow(unused_variables, unused_mut))]
    pub fn with_span<S>(mut self, span: Span, description: S) -> Self
    where
        S: ToString,
    {
        #[cfg(feature = "span")]
        if span.is_defined() {
            self.spans.push((span, description.to_string()));
        }
        self
    }

    /// Add a [`SpanContext`].
    pub fn with_context(self, span_context: SpanContext) -> Self {
        let (span, description) = span_context;
        self.with_span(span, description)
    }

    /// Add a [`Handle`] from either [`Arena`] or [`UniqueArena`], borrowing its span information from there
    /// and annotating with a type and the handle representation.
    pub(crate) fn with_handle<T, A: SpanProvider<T>>(self, handle: Handle<T>, arena: &A) -> Self {
        self.with_context(arena.get_span_context(handle))
    }

    /// Convert inner error using [`From`].
    pub fn into_other<E2>(self) -> WithSpan<E2>
    where
        E2: From<E>,
    {
        WithSpan {
            inner: self.inner.into(),
            #[cfg(feature = "span")]
            spans: self.spans,
        }
    }

    /// Convert inner error into another type. Joins span information contained in `self`
    /// with what is returned from `func`.
    pub fn and_then<F, E2>(self, func: F) -> WithSpan<E2>
    where
        F: FnOnce(E) -> WithSpan<E2>,
    {
        #[cfg_attr(not(feature = "span"), allow(unused_mut))]
        let mut res = func(self.inner);
        #[cfg(feature = "span")]
        res.spans.extend(self.spans);
        res
    }

    #[cfg(feature = "span")]
    /// Return a [`SourceLocation`] for our first span, if we have one.
    pub fn location(&self, source: &str) -> Option<SourceLocation> {
        if self.spans.is_empty() {
            return None;
        }

        Some(self.spans[0].0.location(source))
    }

    #[cfg(not(feature = "span"))]
    /// Return a [`SourceLocation`] for our first span, if we have one.
    pub fn location(&self, _source: &str) -> Option<SourceLocation> {
        None
    }

    #[cfg(feature = "span")]
    fn diagnostic(&self) -> codespan_reporting::diagnostic::Diagnostic<()>
    where
        E: Error,
    {
        use codespan_reporting::diagnostic::{Diagnostic, Label};
        let diagnostic = Diagnostic::error()
            .with_message(self.inner.to_string())
            .with_labels(
                self.spans()
                    .map(|&(span, ref desc)| {
                        Label::primary((), span.to_range().unwrap()).with_message(desc.to_owned())
                    })
                    .collect(),
            )
            .with_notes({
                let mut notes = Vec::new();
                let mut source: &dyn Error = &self.inner;
                while let Some(next) = Error::source(source) {
                    notes.push(next.to_string());
                    source = next;
                }
                notes
            });
        diagnostic
    }

    /// Emits a summary of the error to standard error stream.
    #[cfg(feature = "span")]
    pub fn emit_to_stderr(&self, source: &str)
    where
        E: Error,
    {
        self.emit_to_stderr_with_path(source, "wgsl")
    }

    /// Emits a summary of the error to standard error stream.
    #[cfg(feature = "span")]
    pub fn emit_to_stderr_with_path(&self, source: &str, path: &str)
    where
        E: Error,
    {
        use codespan_reporting::{files, term};
        use term::termcolor::{ColorChoice, StandardStream};

        let files = files::SimpleFile::new(path, source);
        let config = term::Config::default();
        let writer = StandardStream::stderr(ColorChoice::Auto);
        term::emit(&mut writer.lock(), &config, &files, &self.diagnostic())
            .expect("cannot write error");
    }

    /// Emits a summary of the error to a string.
    #[cfg(feature = "span")]
    pub fn emit_to_string(&self, source: &str) -> String
    where
        E: Error,
    {
        self.emit_to_string_with_path(source, "wgsl")
    }

    /// Emits a summary of the error to a string.
    #[cfg(feature = "span")]
    pub fn emit_to_string_with_path(&self, source: &str, path: &str) -> String
    where
        E: Error,
    {
        use codespan_reporting::{files, term};
        use term::termcolor::NoColor;

        let files = files::SimpleFile::new(path, source);
        let config = codespan_reporting::term::Config::default();
        let mut writer = NoColor::new(Vec::new());
        term::emit(&mut writer, &config, &files, &self.diagnostic()).expect("cannot write error");
        String::from_utf8(writer.into_inner()).unwrap()
    }
}

/// Convenience trait for [`Error`] to be able to apply spans to anything.
pub(crate) trait AddSpan: Sized {
    type Output;
    /// See [`WithSpan::new`].
    fn with_span(self) -> Self::Output;
    /// See [`WithSpan::with_span`].
    fn with_span_static(self, span: Span, description: &'static str) -> Self::Output;
    /// See [`WithSpan::with_context`].
    fn with_span_context(self, span_context: SpanContext) -> Self::Output;
    /// See [`WithSpan::with_handle`].
    fn with_span_handle<T, A: SpanProvider<T>>(self, handle: Handle<T>, arena: &A) -> Self::Output;
}

/// Trait abstracting over getting a span from an [`Arena`] or a [`UniqueArena`].
pub(crate) trait SpanProvider<T> {
    fn get_span(&self, handle: Handle<T>) -> Span;
    fn get_span_context(&self, handle: Handle<T>) -> SpanContext {
        match self.get_span(handle) {
            x if !x.is_defined() => (Default::default(), "".to_string()),
            known => (
                known,
                format!("{} {:?}", std::any::type_name::<T>(), handle),
            ),
        }
    }
}

impl<T> SpanProvider<T> for Arena<T> {
    fn get_span(&self, handle: Handle<T>) -> Span {
        self.get_span(handle)
    }
}

impl<T> SpanProvider<T> for UniqueArena<T> {
    fn get_span(&self, handle: Handle<T>) -> Span {
        self.get_span(handle)
    }
}

impl<E> AddSpan for E
where
    E: Error,
{
    type Output = WithSpan<Self>;
    fn with_span(self) -> WithSpan<Self> {
        WithSpan::new(self)
    }

    fn with_span_static(self, span: Span, description: &'static str) -> WithSpan<Self> {
        WithSpan::new(self).with_span(span, description)
    }

    fn with_span_context(self, span_context: SpanContext) -> WithSpan<Self> {
        WithSpan::new(self).with_context(span_context)
    }

    fn with_span_handle<T, A: SpanProvider<T>>(
        self,
        handle: Handle<T>,
        arena: &A,
    ) -> WithSpan<Self> {
        WithSpan::new(self).with_handle(handle, arena)
    }
}

/// Convenience trait for [`Result`], adding a [`MapErrWithSpan::map_err_inner`]
/// mapping to [`WithSpan::and_then`].
pub trait MapErrWithSpan<E, E2>: Sized {
    type Output: Sized;
    fn map_err_inner<F, E3>(self, func: F) -> Self::Output
    where
        F: FnOnce(E) -> WithSpan<E3>,
        E2: From<E3>;
}

impl<T, E, E2> MapErrWithSpan<E, E2> for Result<T, WithSpan<E>> {
    type Output = Result<T, WithSpan<E2>>;
    fn map_err_inner<F, E3>(self, func: F) -> Result<T, WithSpan<E2>>
    where
        F: FnOnce(E) -> WithSpan<E3>,
        E2: From<E3>,
    {
        self.map_err(|e| e.and_then(func).into_other::<E2>())
    }
}

#[test]
fn span_location() {
    let source = "12\n45\n\n89\n";
    assert_eq!(
        Span { start: 0, end: 1 }.location(source),
        SourceLocation {
            line_number: 1,
            line_position: 1,
            offset: 0,
            length: 1
        }
    );
    assert_eq!(
        Span { start: 1, end: 2 }.location(source),
        SourceLocation {
            line_number: 1,
            line_position: 2,
            offset: 1,
            length: 1
        }
    );
    assert_eq!(
        Span { start: 2, end: 3 }.location(source),
        SourceLocation {
            line_number: 1,
            line_position: 3,
            offset: 2,
            length: 1
        }
    );
    assert_eq!(
        Span { start: 3, end: 5 }.location(source),
        SourceLocation {
            line_number: 2,
            line_position: 1,
            offset: 3,
            length: 2
        }
    );
    assert_eq!(
        Span { start: 4, end: 6 }.location(source),
        SourceLocation {
            line_number: 2,
            line_position: 2,
            offset: 4,
            length: 2
        }
    );
    assert_eq!(
        Span { start: 5, end: 6 }.location(source),
        SourceLocation {
            line_number: 2,
            line_position: 3,
            offset: 5,
            length: 1
        }
    );
    assert_eq!(
        Span { start: 6, end: 7 }.location(source),
        SourceLocation {
            line_number: 3,
            line_position: 1,
            offset: 6,
            length: 1
        }
    );
    assert_eq!(
        Span { start: 7, end: 8 }.location(source),
        SourceLocation {
            line_number: 4,
            line_position: 1,
            offset: 7,
            length: 1
        }
    );
    assert_eq!(
        Span { start: 8, end: 9 }.location(source),
        SourceLocation {
            line_number: 4,
            line_position: 2,
            offset: 8,
            length: 1
        }
    );
    assert_eq!(
        Span { start: 9, end: 10 }.location(source),
        SourceLocation {
            line_number: 4,
            line_position: 3,
            offset: 9,
            length: 1
        }
    );
    assert_eq!(
        Span { start: 10, end: 11 }.location(source),
        SourceLocation {
            line_number: 5,
            line_position: 1,
            offset: 10,
            length: 1
        }
    );
}


================================================
FILE: lib/naga/src/valid/analyzer.rs
================================================
/*! Module analyzer.

Figures out the following properties:
  - control flow uniformity
  - texture/sampler pairs
  - expression reference counts
!*/

use super::{CallError, ExpressionError, FunctionError, ModuleInfo, ShaderStages, ValidationFlags};
use crate::span::{AddSpan as _, WithSpan};
use crate::{
    arena::{Arena, Handle},
    proc::{ResolveContext, ResolveError, TypeResolution},
};
use std::ops;

pub type NonUniformResult = Option<Handle<crate::Expression>>;

bitflags::bitflags! {
    /// Kinds of expressions that require uniform control flow.
    #[cfg_attr(feature = "serialize", derive(serde::Serialize))]
    #[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
    pub struct UniformityRequirements: u8 {
        const WORK_GROUP_BARRIER = 0x1;
        const DERIVATIVE = 0x2;
        const IMPLICIT_LEVEL = 0x4;
    }
}

/// Uniform control flow characteristics.
#[derive(Clone, Debug)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
#[cfg_attr(test, derive(PartialEq))]
pub struct Uniformity {
    /// A child expression with non-uniform result.
    ///
    /// This means, when the relevant invocations are scheduled on a compute unit,
    /// they have to use vector registers to store an individual value
    /// per invocation.
    ///
    /// Whenever the control flow is conditioned on such value,
    /// the hardware needs to keep track of the mask of invocations,
    /// and process all branches of the control flow.
    ///
    /// Any operations that depend on non-uniform results also produce non-uniform.
    pub non_uniform_result: NonUniformResult,
    /// If this expression requires uniform control flow, store the reason here.
    pub requirements: UniformityRequirements,
}

impl Uniformity {
    const fn new() -> Self {
        Uniformity {
            non_uniform_result: None,
            requirements: UniformityRequirements::empty(),
        }
    }
}

bitflags::bitflags! {
    struct ExitFlags: u8 {
        /// Control flow may return from the function, which makes all the
        /// subsequent statements within the current function (only!)
        /// to be executed in a non-uniform control flow.
        const MAY_RETURN = 0x1;
        /// Control flow may be killed. Anything after `Statement::Kill` is
        /// considered inside non-uniform context.
        const MAY_KILL = 0x2;
    }
}

/// Uniformity characteristics of a function.
#[cfg_attr(test, derive(Debug, PartialEq))]
struct FunctionUniformity {
    result: Uniformity,
    exit: ExitFlags,
}

impl ops::BitOr for FunctionUniformity {
    type Output = Self;
    fn bitor(self, other: Self) -> Self {
        FunctionUniformity {
            result: Uniformity {
                non_uniform_result: self
                    .result
                    .non_uniform_result
                    .or(other.result.non_uniform_result),
                requirements: self.result.requirements | other.result.requirements,
            },
            exit: self.exit | other.exit,
        }
    }
}

impl FunctionUniformity {
    const fn new() -> Self {
        FunctionUniformity {
            result: Uniformity::new(),
            exit: ExitFlags::empty(),
        }
    }

    /// Returns a disruptor based on the stored exit flags, if any.
    const fn exit_disruptor(&self) -> Option<UniformityDisruptor> {
        if self.exit.contains(ExitFlags::MAY_RETURN) {
            Some(UniformityDisruptor::Return)
        } else if self.exit.contains(ExitFlags::MAY_KILL) {
            Some(UniformityDisruptor::Discard)
        } else {
            None
        }
    }
}

bitflags::bitflags! {
    /// Indicates how a global variable is used.
    #[cfg_attr(feature = "serialize", derive(serde::Serialize))]
    #[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
    pub struct GlobalUse: u8 {
        /// Data will be read from the variable.
        const READ = 0x1;
        /// Data will be written to the variable.
        const WRITE = 0x2;
        /// The information about the data is queried.
        const QUERY = 0x4;
    }
}

#[derive(Clone, Debug, Eq, Hash, PartialEq)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct SamplingKey {
    pub image: Handle<crate::GlobalVariable>,
    pub sampler: Handle<crate::GlobalVariable>,
}

#[derive(Clone, Debug)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct ExpressionInfo {
    pub uniformity: Uniformity,
    pub ref_count: usize,
    assignable_global: Option<Handle<crate::GlobalVariable>>,
    pub ty: TypeResolution,
}

impl ExpressionInfo {
    const fn new() -> Self {
        ExpressionInfo {
            uniformity: Uniformity::new(),
            ref_count: 0,
            assignable_global: None,
            // this doesn't matter at this point, will be overwritten
            ty: TypeResolution::Value(crate::TypeInner::Scalar {
                kind: crate::ScalarKind::Bool,
                width: 0,
            }),
        }
    }
}

#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
enum GlobalOrArgument {
    Global(Handle<crate::GlobalVariable>),
    Argument(u32),
}

impl GlobalOrArgument {
    fn from_expression(
        expression_arena: &Arena<crate::Expression>,
        expression: Handle<crate::Expression>,
    ) -> Result<GlobalOrArgument, ExpressionError> {
        Ok(match expression_arena[expression] {
            crate::Expression::GlobalVariable(var) => GlobalOrArgument::Global(var),
            crate::Expression::FunctionArgument(i) => GlobalOrArgument::Argument(i),
            crate::Expression::Access { base, .. }
            | crate::Expression::AccessIndex { base, .. } => match expression_arena[base] {
                crate::Expression::GlobalVariable(var) => GlobalOrArgument::Global(var),
                _ => return Err(ExpressionError::ExpectedGlobalOrArgument),
            },
            _ => return Err(ExpressionError::ExpectedGlobalOrArgument),
        })
    }
}

#[derive(Debug, Clone, PartialEq, Eq, Hash)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
struct Sampling {
    image: GlobalOrArgument,
    sampler: GlobalOrArgument,
}

#[derive(Debug)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct FunctionInfo {
    /// Validation flags.
    #[allow(dead_code)]
    flags: ValidationFlags,
    /// Set of shader stages where calling this function is valid.
    pub available_stages: ShaderStages,
    /// Uniformity characteristics.
    pub uniformity: Uniformity,
    /// Function may kill the invocation.
    pub may_kill: bool,

    /// All pairs of (texture, sampler) globals that may be used together in
    /// sampling operations by this function and its callees. This includes
    /// pairings that arise when this function passes textures and samplers as
    /// arguments to its callees.
    ///
    /// This table does not include uses of textures and samplers passed as
    /// arguments to this function itself, since we do not know which globals
    /// those will be. However, this table *is* exhaustive when computed for an
    /// entry point function: entry points never receive textures or samplers as
    /// arguments, so all an entry point's sampling can be reported in terms of
    /// globals.
    ///
    /// The GLSL back end uses this table to construct reflection info that
    /// clients need to construct texture-combined sampler values.
    pub sampling_set: crate::FastHashSet<SamplingKey>,

    /// How this function and its callees use this module's globals.
    ///
    /// This is indexed by `Handle<GlobalVariable>` indices. However,
    /// `FunctionInfo` implements `std::ops::Index<Handle<GlobalVariable>>`,
    /// so you can simply index this struct with a global handle to retrieve
    /// its usage information.
    global_uses: Box<[GlobalUse]>,

    /// Information about each expression in this function's body.
    ///
    /// This is indexed by `Handle<Expression>` indices. However, `FunctionInfo`
    /// implements `std::ops::Index<Handle<Expression>>`, so you can simply
    /// index this struct with an expression handle to retrieve its
    /// `ExpressionInfo`.
    expressions: Box<[ExpressionInfo]>,

    /// All (texture, sampler) pairs that may be used together in sampling
    /// operations by this function and its callees, whether they are accessed
    /// as globals or passed as arguments.
    ///
    /// Participants are represented by [`GlobalVariable`] handles whenever
    /// possible, and otherwise by indices of this function's arguments.
    ///
    /// When analyzing a function call, we combine this data about the callee
    /// with the actual arguments being passed to produce the callers' own
    /// `sampling_set` and `sampling` tables.
    ///
    /// [`GlobalVariable`]: crate::GlobalVariable
    sampling: crate::FastHashSet<Sampling>,
}

impl FunctionInfo {
    pub const fn global_variable_count(&self) -> usize {
        self.global_uses.len()
    }
    pub const fn expression_count(&self) -> usize {
        self.expressions.len()
    }
    pub fn dominates_global_use(&self, other: &Self) -> bool {
        for (self_global_uses, other_global_uses) in
            self.global_uses.iter().zip(other.global_uses.iter())
        {
            if !self_global_uses.contains(*other_global_uses) {
                return false;
            }
        }
        true
    }
}

impl ops::Index<Handle<crate::GlobalVariable>> for FunctionInfo {
    type Output = GlobalUse;
    fn index(&self, handle: Handle<crate::GlobalVariable>) -> &GlobalUse {
        &self.global_uses[handle.index()]
    }
}

impl ops::Index<Handle<crate::Expression>> for FunctionInfo {
    type Output = ExpressionInfo;
    fn index(&self, handle: Handle<crate::Expression>) -> &ExpressionInfo {
        &self.expressions[handle.index()]
    }
}

/// Disruptor of the uniform control flow.
#[derive(Clone, Copy, Debug, thiserror::Error)]
#[cfg_attr(test, derive(PartialEq))]
pub enum UniformityDisruptor {
    #[error("Expression {0:?} produced non-uniform result, and control flow depends on it")]
    Expression(Handle<crate::Expression>),
    #[error("There is a Return earlier in the control flow of the function")]
    Return,
    #[error("There is a Discard earlier in the entry point across all called functions")]
    Discard,
}

impl FunctionInfo {
    /// Adds a value-type reference to an expression.
    #[must_use]
    fn add_ref_impl(
        &mut self,
        handle: Handle<crate::Expression>,
        global_use: GlobalUse,
    ) -> NonUniformResult {
        //Note: if the expression doesn't exist, this function
        // will return `None`, but the later validation of
        // expressions should detect this and error properly.
        let info = self.expressions.get_mut(handle.index())?;
        info.ref_count += 1;
        // mark the used global as read
        if let Some(global) = info.assignable_global {
            self.global_uses[global.index()] |= global_use;
        }
        info.uniformity.non_uniform_result
    }

    /// Adds a value-type reference to an expression.
    #[must_use]
    fn add_ref(&mut self, handle: Handle<crate::Expression>) -> NonUniformResult {
        self.add_ref_impl(handle, GlobalUse::READ)
    }

    /// Adds a potentially assignable reference to an expression.
    /// These are destinations for `Store` and `ImageStore` statements,
    /// which can transit through `Access` and `AccessIndex`.
    #[must_use]
    fn add_assignable_ref(
        &mut self,
        handle: Handle<crate::Expression>,
        assignable_global: &mut Option<Handle<crate::GlobalVariable>>,
    ) -> NonUniformResult {
        //Note: similarly to `add_ref_impl`, this ignores invalid expressions.
        let info = self.expressions.get_mut(handle.index())?;
        info.ref_count += 1;
        // propagate the assignable global up the chain, till it either hits
        // a value-type expression, or the assignment statement.
        if let Some(global) = info.assignable_global {
            if let Some(_old) = assignable_global.replace(global) {
                unreachable!()
            }
        }
        info.uniformity.non_uniform_result
    }

    /// Inherit information from a called function.
    fn process_call(
        &mut self,
        callee: &Self,
        arguments: &[Handle<crate::Expression>],
        expression_arena: &Arena<crate::Expression>,
    ) -> Result<FunctionUniformity, WithSpan<FunctionError>> {
        self.sampling_set
            .extend(callee.sampling_set.iter().cloned());
        for sampling in callee.sampling.iter() {
            // If the callee was passed the texture or sampler as an argument,
            // we may now be able to determine which globals those referred to.
            let image_storage = match sampling.image {
                GlobalOrArgument::Global(var) => GlobalOrArgument::Global(var),
                GlobalOrArgument::Argument(i) => {
                    let handle = arguments[i as usize];
                    GlobalOrArgument::from_expression(expression_arena, handle).map_err(
                        |error| {
                            FunctionError::Expression { handle, error }
                                .with_span_handle(handle, expression_arena)
                        },
                    )?
                }
            };

            let sampler_storage = match sampling.sampler {
                GlobalOrArgument::Global(var) => GlobalOrArgument::Global(var),
                GlobalOrArgument::Argument(i) => {
                    let handle = arguments[i as usize];
                    GlobalOrArgument::from_expression(expression_arena, handle).map_err(
                        |error| {
                            FunctionError::Expression { handle, error }
                                .with_span_handle(handle, expression_arena)
                        },
                    )?
                }
            };

            // If we've managed to pin both the image and sampler down to
            // specific globals, record that in our `sampling_set`. Otherwise,
            // record as much as we do know in our own `sampling` table, for our
            // callers to sort out.
            match (image_storage, sampler_storage) {
                (GlobalOrArgument::Global(image), GlobalOrArgument::Global(sampler)) => {
                    self.sampling_set.insert(SamplingKey { image, sampler });
                }
                (image, sampler) => {
                    self.sampling.insert(Sampling { image, sampler });
                }
            }
        }

        // Inherit global use from our callees.
        for (mine, other) in self.global_uses.iter_mut().zip(callee.global_uses.iter()) {
            *mine |= *other;
        }

        Ok(FunctionUniformity {
            result: callee.uniformity.clone(),
            exit: if callee.may_kill {
                ExitFlags::MAY_KILL
            } else {
                ExitFlags::empty()
            },
        })
    }

    /// Computes the expression info and stores it in `self.expressions`.
    /// Also, bumps the reference counts on dependent expressions.
    #[allow(clippy::or_fun_call)]
    fn process_expression(
        &mut self,
        handle: Handle<crate::Expression>,
        expression: &crate::Expression,
        expression_arena: &Arena<crate::Expression>,
        other_functions: &[FunctionInfo],
        resolve_context: &ResolveContext,
        capabilities: super::Capabilities,
    ) -> Result<(), ExpressionError> {
        use crate::{Expression as E, SampleLevel as Sl};

        let mut assignable_global = None;
        let uniformity = match *expression {
            E::Access { base, index } => {
                let base_ty = self[base].ty.inner_with(resolve_context.types);

                // build up the caps needed if this is indexed non-uniformly
                let mut needed_caps = super::Capabilities::empty();
                let is_binding_array = match *base_ty {
                    crate::TypeInner::BindingArray {
                        base: array_element_ty_handle,
                        ..
                    } => {
                        // these are nasty aliases, but these idents are too long and break rustfmt
                        let ub_st = super::Capabilities::UNIFORM_BUFFER_AND_STORAGE_TEXTURE_ARRAY_NON_UNIFORM_INDEXING;
                        let st_sb = super::Capabilities::SAMPLED_TEXTURE_AND_STORAGE_BUFFER_ARRAY_NON_UNIFORM_INDEXING;
                        let sampler = super::Capabilities::SAMPLER_NON_UNIFORM_INDEXING;

                        // We're a binding array, so lets use the type of _what_ we are array of to determine if we can non-uniformly index it.
                        let array_element_ty =
                            &resolve_context.types[array_element_ty_handle].inner;

                        needed_caps |= match *array_element_ty {
                            // If we're an image, use the appropriate limit.
                            crate::TypeInner::Image { class, .. } => match class {
                                crate::ImageClass::Storage { .. } => ub_st,
                                _ => st_sb,
                            },
                            crate::TypeInner::Sampler { .. } => sampler,
                            // If we're anything but an image, assume we're a buffer and use the address space.
                            _ => {
                                if let E::GlobalVariable(global_handle) = expression_arena[base] {
                                    let global = &resolve_context.global_vars[global_handle];
                                    match global.space {
                                        crate::AddressSpace::Uniform => ub_st,
                                        crate::AddressSpace::Storage { .. } => st_sb,
                                        _ => unreachable!(),
                                    }
                                } else {
                                    unreachable!()
                                }
                            }
                        };

                        true
                    }
                    _ => false,
                };

                if self[index].uniformity.non_uniform_result.is_some()
                    && !capabilities.contains(needed_caps)
                    && is_binding_array
                {
                    return Err(ExpressionError::MissingCapabilities(needed_caps));
                }

                Uniformity {
                    non_uniform_result: self
                        .add_assignable_ref(base, &mut assignable_global)
                        .or(self.add_ref(index)),
                    requirements: UniformityRequirements::empty(),
                }
            }
            E::AccessIndex { base, .. } => Uniformity {
                non_uniform_result: self.add_assignable_ref(base, &mut assignable_global),
                requirements: UniformityRequirements::empty(),
            },
            // always uniform
            E::Constant(_) => Uniformity::new(),
            E::Splat { size: _, value } => Uniformity {
                non_uniform_result: self.add_ref(value),
                requirements: UniformityRequirements::empty(),
            },
            E::Swizzle { vector, .. } => Uniformity {
                non_uniform_result: self.add_ref(vector),
                requirements: UniformityRequirements::empty(),
            },
            E::Compose { ref components, .. } => {
                let non_uniform_result = components
                    .iter()
                    .fold(None, |nur, &comp| nur.or(self.add_ref(comp)));
                Uniformity {
                    non_uniform_result,
                    requirements: UniformityRequirements::empty(),
                }
            }
            // depends on the builtin or interpolation
            E::FunctionArgument(index) => {
                let arg = &resolve_context.arguments[index as usize];
                let uniform = match arg.binding {
                    Some(crate::Binding::BuiltIn(built_in)) => match built_in {
                        // per-polygon built-ins are uniform
                        crate::BuiltIn::FrontFacing
                        // per-work-group built-ins are uniform
                        | crate::BuiltIn::WorkGroupId
                        | crate::BuiltIn::WorkGroupSize
                        | crate::BuiltIn::NumWorkGroups => true,
                        _ => false,
                    },
                    // only flat inputs are uniform
                    Some(crate::Binding::Location {
                        interpolation: Some(crate::Interpolation::Flat),
                        ..
                    }) => true,
                    _ => false,
                };
                Uniformity {
                    non_uniform_result: if uniform { None } else { Some(handle) },
                    requirements: UniformityRequirements::empty(),
                }
            }
            // depends on the address space
            E::GlobalVariable(gh) => {
                use crate::AddressSpace as As;
                assignable_global = Some(gh);
                let var = &resolve_context.global_vars[gh];
                let uniform = match var.space {
                    // local data is non-uniform
                    As::Function | As::Private => false,
                    // workgroup memory is exclusively accessed by the group
                    As::WorkGroup => true,
                    // uniform data
                    As::Uniform | As::PushConstant => true,
                    // storage data is only uniform when read-only
                    As::Storage { access } => !access.contains(crate::StorageAccess::STORE),
                    As::Handle => false,
                };
                Uniformity {
                    non_uniform_result: if uniform { None } else { Some(handle) },
                    requirements: UniformityRequirements::empty(),
                }
            }
            E::LocalVariable(_) => Uniformity {
                non_uniform_result: Some(handle),
                requirements: UniformityRequirements::empty(),
            },
            E::Load { pointer } => Uniformity {
                non_uniform_result: self.add_ref(pointer),
                requirements: UniformityRequirements::empty(),
            },
            E::ImageSample {
                image,
                sampler,
                gather: _,
                coordinate,
                array_index,
                offset: _,
                level,
                depth_ref,
            } => {
                let image_storage = GlobalOrArgument::from_expression(expression_arena, image)?;
                let sampler_storage = GlobalOrArgument::from_expression(expression_arena, sampler)?;

                match (image_storage, sampler_storage) {
                    (GlobalOrArgument::Global(image), GlobalOrArgument::Global(sampler)) => {
                        self.sampling_set.insert(SamplingKey { image, sampler });
                    }
                    _ => {
                        self.sampling.insert(Sampling {
                            image: image_storage,
                            sampler: sampler_storage,
                        });
                    }
                }

                // "nur" == "Non-Uniform Result"
                let array_nur = array_index.and_then(|h| self.add_ref(h));
                let level_nur = match level {
                    Sl::Auto | Sl::Zero => None,
                    Sl::Exact(h) | Sl::Bias(h) => self.add_ref(h),
                    Sl::Gradient { x, y } => self.add_ref(x).or(self.add_ref(y)),
                };
                let dref_nur = depth_ref.and_then(|h| self.add_ref(h));
                Uniformity {
                    non_uniform_result: self
                        .add_ref(image)
                        .or(self.add_ref(sampler))
                        .or(self.add_ref(coordinate))
                        .or(array_nur)
                        .or(level_nur)
                        .or(dref_nur),
                    requirements: if level.implicit_derivatives() {
                        UniformityRequirements::IMPLICIT_LEVEL
                    } else {
                        UniformityRequirements::empty()
                    },
                }
            }
            E::ImageLoad {
                image,
                coordinate,
                array_index,
                sample,
                level,
            } => {
                let array_nur = array_index.and_then(|h| self.add_ref(h));
                let sample_nur = sample.and_then(|h| self.add_ref(h));
                let level_nur = level.and_then(|h| self.add_ref(h));
                Uniformity {
                    non_uniform_result: self
                        .add_ref(image)
                        .or(self.add_ref(coordinate))
                        .or(array_nur)
                        .or(sample_nur)
                        .or(level_nur),
                    requirements: UniformityRequirements::empty(),
                }
            }
            E::ImageQuery { image, query } => {
                let query_nur = match query {
                    crate::ImageQuery::Size { level: Some(h) } => self.add_ref(h),
                    _ => None,
                };
                Uniformity {
                    non_uniform_result: self.add_ref_impl(image, GlobalUse::QUERY).or(query_nur),
                    requirements: UniformityRequirements::empty(),
                }
            }
            E::Unary { expr, .. } => Uniformity {
                non_uniform_result: self.add_ref(expr),
                requirements: UniformityRequirements::empty(),
            },
            E::Binary { left, right, .. } => Uniformity {
                non_uniform_result: self.add_ref(left).or(self.add_ref(right)),
                requirements: UniformityRequirements::empty(),
            },
            E::Select {
                condition,
                accept,
                reject,
            } => Uniformity {
                non_uniform_result: self
                    .add_ref(condition)
                    .or(self.add_ref(accept))
                    .or(self.add_ref(reject)),
                requirements: UniformityRequirements::empty(),
            },
            // explicit derivatives require uniform
            E::Derivative { expr, .. } => Uniformity {
                //Note: taking a derivative of a uniform doesn't make it non-uniform
                non_uniform_result: self.add_ref(expr),
                requirements: UniformityRequirements::DERIVATIVE,
            },
            E::Relational { argument, .. } => Uniformity {
                non_uniform_result: self.add_ref(argument),
                requirements: UniformityRequirements::empty(),
            },
            E::Math {
                arg, arg1, arg2, ..
            } => {
                let arg1_nur = arg1.and_then(|h| self.add_ref(h));
                let arg2_nur = arg2.and_then(|h| self.add_ref(h));
                Uniformity {
                    non_uniform_result: self.add_ref(arg).or(arg1_nur).or(arg2_nur),
                    requirements: UniformityRequirements::empty(),
                }
            }
            E::As { expr, .. } => Uniformity {
                non_uniform_result: self.add_ref(expr),
                requirements: UniformityRequirements::empty(),
            },
            E::CallResult(function) => {
                let info = other_functions
                    .get(function.index())
                    .ok_or(ExpressionError::CallToUndeclaredFunction(function))?;

                info.uniformity.clone()
            }
            E::AtomicResult { .. } => Uniformity {
                non_uniform_result: Some(handle),
                requirements: UniformityRequirements::empty(),
            },
            E::ArrayLength(expr) => Uniformity {
                non_uniform_result: self.add_ref_impl(expr, GlobalUse::QUERY),
                requirements: UniformityRequirements::empty(),
            },
        };

        let ty = resolve_context.resolve(expression, |h| {
            self.expressions
                .get(h.index())
                .map(|ei| &ei.ty)
                .ok_or(ResolveError::ExpressionForwardDependency(h))
        })?;
        self.expressions[handle.index()] = ExpressionInfo {
            uniformity,
            ref_count: 0,
            assignable_global,
            ty,
        };
        Ok(())
    }

    /// Analyzes the uniformity requirements of a block (as a sequence of statements).
    /// Returns the uniformity characteristics at the *function* level, i.e.
    /// whether or not the function requires to be called in uniform control flow,
    /// and whether the produced result is not disrupting the control flow.
    ///
    /// The parent control flow is uniform if `disruptor.is_none()`.
    ///
    /// Returns a `NonUniformControlFlow` error if any of the expressions in the block
    /// require uniformity, but the current flow is non-uniform.
    #[allow(clippy::or_fun_call)]
    fn process_block(
        &mut self,
        statements: &crate::Block,
        other_functions: &[FunctionInfo],
        mut disruptor: Option<UniformityDisruptor>,
        expression_arena: &Arena<crate::Expression>,
    ) -> Result<FunctionUniformity, WithSpan<FunctionError>> {
        use crate::Statement as S;

        let mut combined_uniformity = FunctionUniformity::new();
        for (statement, &span) in statements.span_iter() {
            let uniformity = match *statement {
                S::Emit(ref range) => {
                    let mut requirements = UniformityRequirements::empty();
                    for expr in range.clone() {
                        let req = match self.expressions.get(expr.index()) {
                            Some(expr) => expr.uniformity.requirements,
                            None => UniformityRequirements::empty(),
                        };
                        #[cfg(feature = "validate")]
                        if self
                            .flags
                            .contains(super::ValidationFlags::CONTROL_FLOW_UNIFORMITY)
                            && !req.is_empty()
                        {
                            if let Some(cause) = disruptor {
                                return Err(FunctionError::NonUniformControlFlow(req, expr, cause)
                                    .with_span_handle(expr, expression_arena));
                            }
                        }
                        requirements |= req;
                    }
                    FunctionUniformity {
                        result: Uniformity {
                            non_uniform_result: None,
                            requirements,
                        },
                        exit: ExitFlags::empty(),
                    }
                }
                S::Break | S::Continue => FunctionUniformity::new(),
                S::Kill => FunctionUniformity {
                    result: Uniformity::new(),
                    exit: if disruptor.is_some() {
                        ExitFlags::MAY_KILL
                    } else {
                        ExitFlags::empty()
                    },
                },
                S::Barrier(_) => FunctionUniformity {
                    result: Uniformity {
                        non_uniform_result: None,
                        requirements: UniformityRequirements::WORK_GROUP_BARRIER,
                    },
                    exit: ExitFlags::empty(),
                },
                S::Block(ref b) => {
                    self.process_block(b, other_functions, disruptor, expression_arena)?
                }
                S::If {
                    condition,
                    ref accept,
                    ref reject,
                } => {
                    let condition_nur = self.add_ref(condition);
                    let branch_disruptor =
                        disruptor.or(condition_nur.map(UniformityDisruptor::Expression));
                    let accept_uniformity = self.process_block(
                        accept,
                        other_functions,
                        branch_disruptor,
                        expression_arena,
                    )?;
                    let reject_uniformity = self.process_block(
                        reject,
                        other_functions,
                        branch_disruptor,
                        expression_arena,
                    )?;
                    accept_uniformity | reject_uniformity
                }
                S::Switch {
                    selector,
                    ref cases,
                } => {
                    let selector_nur = self.add_ref(selector);
                    let branch_disruptor =
                        disruptor.or(selector_nur.map(UniformityDisruptor::Expression));
                    let mut uniformity = FunctionUniformity::new();
                    let mut case_disruptor = branch_disruptor;
                    for case in cases.iter() {
                        let case_uniformity = self.process_block(
                            &case.body,
                            other_functions,
                            case_disruptor,
                            expression_arena,
                        )?;
                        case_disruptor = if case.fall_through {
                            case_disruptor.or(case_uniformity.exit_disruptor())
                        } else {
                            branch_disruptor
                        };
                        uniformity = uniformity | case_uniformity;
                    }
                    uniformity
                }
                S::Loop {
                    ref body,
                    ref continuing,
                    break_if: _,
                } => {
                    let body_uniformity =
                        self.process_block(body, other_functions, disruptor, expression_arena)?;
                    let continuing_disruptor = disruptor.or(body_uniformity.exit_disruptor());
                    let continuing_uniformity = self.process_block(
                        continuing,
                        other_functions,
                        continuing_disruptor,
                        expression_arena,
                    )?;
                    body_uniformity | continuing_uniformity
                }
                S::Return { value } => FunctionUniformity {
                    result: Uniformity {
                        non_uniform_result: value.and_then(|expr| self.add_ref(expr)),
                        requirements: UniformityRequirements::empty(),
                    },
                    exit: if disruptor.is_some() {
                        ExitFlags::MAY_RETURN
                    } else {
                        ExitFlags::empty()
                    },
                },
                // Here and below, the used expressions are already emitted,
                // and their results do not affect the function return value,
                // so we can ignore their non-uniformity.
                S::Store { pointer, value } => {
                    let _ = self.add_ref_impl(pointer, GlobalUse::WRITE);
                    let _ = self.add_ref(value);
                    FunctionUniformity::new()
                }
                S::ImageStore {
                    image,
                    coordinate,
                    array_index,
                    value,
                } => {
                    let _ = self.add_ref_impl(image, GlobalUse::WRITE);
                    if let Some(expr) = array_index {
                        let _ = self.add_ref(expr);
                    }
                    let _ = self.add_ref(coordinate);
                    let _ = self.add_ref(value);
                    FunctionUniformity::new()
                }
                S::Call {
                    function,
                    ref arguments,
                    result: _,
                } => {
                    for &argument in arguments {
                        let _ = self.add_ref(argument);
                    }
                    let info = other_functions.get(function.index()).ok_or(
                        FunctionError::InvalidCall {
                            function,
                            error: CallError::ForwardDeclaredFunction,
                        }
                        .with_span_static(span, "forward call"),
                    )?;
                    //Note: the result is validated by the Validator, not here
                    self.process_call(info, arguments, expression_arena)?
                }
                S::Atomic {
                    pointer,
                    ref fun,
                    value,
                    result: _,
                } => {
                    let _ = self.add_ref_impl(pointer, GlobalUse::WRITE);
                    let _ = self.add_ref(value);
                    if let crate::AtomicFunction::Exchange { compare: Some(cmp) } = *fun {
                        let _ = self.add_ref(cmp);
                    }
                    FunctionUniformity::new()
                }
            };

            disruptor = disruptor.or(uniformity.exit_disruptor());
            combined_uniformity = combined_uniformity | uniformity;
        }
        Ok(combined_uniformity)
    }
}

impl ModuleInfo {
    /// Builds the `FunctionInfo` based on the function, and validates the
    /// uniform control flow if required by the expressions of this function.
    pub(super) fn process_function(
        &self,
        fun: &crate::Function,
        module: &crate::Module,
        flags: ValidationFlags,
        capabilities: super::Capabilities,
    ) -> Result<FunctionInfo, WithSpan<FunctionError>> {
        let mut info = FunctionInfo {
            flags,
            available_stages: ShaderStages::all(),
            uniformity: Uniformity::new(),
            may_kill: false,
            sampling_set: crate::FastHashSet::default(),
            global_uses: vec![GlobalUse::empty(); module.global_variables.len()].into_boxed_slice(),
            expressions: vec![ExpressionInfo::new(); fun.expressions.len()].into_boxed_slice(),
            sampling: crate::FastHashSet::default(),
        };
        let resolve_context = ResolveContext {
            constants: &module.constants,
            types: &module.types,
            global_vars: &module.global_variables,
            local_vars: &fun.local_variables,
            functions: &module.functions,
            arguments: &fun.arguments,
        };

        for (handle, expr) in fun.expressions.iter() {
            if let Err(error) = info.process_expression(
                handle,
                expr,
                &fun.expressions,
                &self.functions,
                &resolve_context,
                capabilities,
            ) {
                return Err(FunctionError::Expression { handle, error }
                    .with_span_handle(handle, &fun.expressions));
            }
        }

        let uniformity = info.process_block(&fun.body, &self.functions, None, &fun.expressions)?;
        info.uniformity = uniformity.result;
        info.may_kill = uniformity.exit.contains(ExitFlags::MAY_KILL);

        Ok(info)
    }

    pub fn get_entry_point(&self, index: usize) -> &FunctionInfo {
        &self.entry_points[index]
    }
}

#[test]
#[cfg(feature = "validate")]
fn uniform_control_flow() {
    use crate::{Expression as E, Statement as S};

    let mut constant_arena = Arena::new();
    let constant = constant_arena.append(
        crate::Constant {
            name: None,
            specialization: None,
            inner: crate::ConstantInner::Scalar {
                width: 4,
                value: crate::ScalarValue::Uint(0),
            },
        },
        Default::default(),
    );
    let mut type_arena = crate::UniqueArena::new();
    let ty = type_arena.insert(
        crate::Type {
            name: None,
            inner: crate::TypeInner::Vector {
                size: crate::VectorSize::Bi,
                kind: crate::ScalarKind::Float,
                width: 4,
            },
        },
        Default::default(),
    );
    let mut global_var_arena = Arena::new();
    let non_uniform_global = global_var_arena.append(
        crate::GlobalVariable {
            name: None,
            init: None,
            ty,
            space: crate::AddressSpace::Handle,
            binding: None,
        },
        Default::default(),
    );
    let uniform_global = global_var_arena.append(
        crate::GlobalVariable {
            name: None,
            init: None,
            ty,
            binding: None,
            space: crate::AddressSpace::Uniform,
        },
        Default::default(),
    );

    let mut expressions = Arena::new();
    // checks the uniform control flow
    let constant_expr = expressions.append(E::Constant(constant), Default::default());
    // checks the non-uniform control flow
    let derivative_expr = expressions.append(
        E::Derivative {
            axis: crate::DerivativeAxis::X,
            expr: constant_expr,
        },
        Default::default(),
    );
    let emit_range_constant_derivative = expressions.range_from(0);
    let non_uniform_global_expr =
        expressions.append(E::GlobalVariable(non_uniform_global), Default::default());
    let uniform_global_expr =
        expressions.append(E::GlobalVariable(uniform_global), Default::default());
    let emit_range_globals = expressions.range_from(2);

    // checks the QUERY flag
    let query_expr = expressions.append(E::ArrayLength(uniform_global_expr), Default::default());
    // checks the transitive WRITE flag
    let access_expr = expressions.append(
        E::AccessIndex {
            base: non_uniform_global_expr,
            index: 1,
        },
        Default::default(),
    );
    let emit_range_query_access_globals = expressions.range_from(2);

    let mut info = FunctionInfo {
        flags: ValidationFlags::all(),
        available_stages: ShaderStages::all(),
        uniformity: Uniformity::new(),
        may_kill: false,
        sampling_set: crate::FastHashSet::default(),
        global_uses: vec![GlobalUse::empty(); global_var_arena.len()].into_boxed_slice(),
        expressions: vec![ExpressionInfo::new(); expressions.len()].into_boxed_slice(),
        sampling: crate::FastHashSet::default(),
    };
    let resolve_context = ResolveContext {
        constants: &constant_arena,
        types: &type_arena,
        global_vars: &global_var_arena,
        local_vars: &Arena::new(),
        functions: &Arena::new(),
        arguments: &[],
    };
    for (handle, expression) in expressions.iter() {
        info.process_expression(
            handle,
            expression,
            &expressions,
            &[],
            &resolve_context,
            super::Capabilities::empty(),
        )
        .unwrap();
    }
    assert_eq!(info[non_uniform_global_expr].ref_count, 1);
    assert_eq!(info[uniform_global_expr].ref_count, 1);
    assert_eq!(info[query_expr].ref_count, 0);
    assert_eq!(info[access_expr].ref_count, 0);
    assert_eq!(info[non_uniform_global], GlobalUse::empty());
    assert_eq!(info[uniform_global], GlobalUse::QUERY);

    let stmt_emit1 = S::Emit(emit_range_globals.clone());
    let stmt_if_uniform = S::If {
        condition: uniform_global_expr,
        accept: crate::Block::new(),
        reject: vec![
            S::Emit(emit_range_constant_derivative.clone()),
            S::Store {
                pointer: constant_expr,
                value: derivative_expr,
            },
        ]
        .into(),
    };
    assert_eq!(
        info.process_block(
            &vec![stmt_emit1, stmt_if_uniform].into(),
            &[],
            None,
            &expressions
        ),
        Ok(FunctionUniformity {
            result: Uniformity {
                non_uniform_result: None,
                requirements: UniformityRequirements::DERIVATIVE,
            },
            exit: ExitFlags::empty(),
        }),
    );
    assert_eq!(info[constant_expr].ref_count, 2);
    assert_eq!(info[uniform_global], GlobalUse::READ | GlobalUse::QUERY);

    let stmt_emit2 = S::Emit(emit_range_globals.clone());
    let stmt_if_non_uniform = S::If {
        condition: non_uniform_global_expr,
        accept: vec![
            S::Emit(emit_range_constant_derivative),
            S::Store {
                pointer: constant_expr,
                value: derivative_expr,
            },
        ]
        .into(),
        reject: crate::Block::new(),
    };
    assert_eq!(
        info.process_block(
            &vec![stmt_emit2, stmt_if_non_uniform].into(),
            &[],
            None,
            &expressions
        ),
        Err(FunctionError::NonUniformControlFlow(
            UniformityRequirements::DERIVATIVE,
            derivative_expr,
            UniformityDisruptor::Expression(non_uniform_global_expr)
        )
        .with_span()),
    );
    assert_eq!(info[derivative_expr].ref_count, 1);
    assert_eq!(info[non_uniform_global], GlobalUse::READ);

    let stmt_emit3 = S::Emit(emit_range_globals);
    let stmt_return_non_uniform = S::Return {
        value: Some(non_uniform_global_expr),
    };
    assert_eq!(
        info.process_block(
            &vec![stmt_emit3, stmt_return_non_uniform].into(),
            &[],
            Some(UniformityDisruptor::Return),
            &expressions
        ),
        Ok(FunctionUniformity {
            result: Uniformity {
                non_uniform_result: Some(non_uniform_global_expr),
                requirements: UniformityRequirements::empty(),
            },
            exit: ExitFlags::MAY_RETURN,
        }),
    );
    assert_eq!(info[non_uniform_global_expr].ref_count, 3);

    // Check that uniformity requirements reach through a pointer
    let stmt_emit4 = S::Emit(emit_range_query_access_globals);
    let stmt_assign = S::Store {
        pointer: access_expr,
        value: query_expr,
    };
    let stmt_return_pointer = S::Return {
        value: Some(access_expr),
    };
    let stmt_kill = S::Kill;
    assert_eq!(
        info.process_block(
            &vec![stmt_emit4, stmt_assign, stmt_kill, stmt_return_pointer].into(),
            &[],
            Some(UniformityDisruptor::Discard),
            &expressions
        ),
        Ok(FunctionUniformity {
            result: Uniformity {
                non_uniform_result: Some(non_uniform_global_expr),
                requirements: UniformityRequirements::empty(),
            },
            exit: ExitFlags::all(),
        }),
    );
    assert_eq!(info[non_uniform_global], GlobalUse::READ | GlobalUse::WRITE);
}


================================================
FILE: lib/naga/src/valid/compose.rs
================================================
#[cfg(feature = "validate")]
use crate::{
    arena::{Arena, UniqueArena},
    proc::TypeResolution,
};

use crate::arena::{BadHandle, Handle};

#[derive(Clone, Debug, thiserror::Error)]
#[cfg_attr(test, derive(PartialEq))]
pub enum ComposeError {
    #[error(transparent)]
    BadHandle(#[from] BadHandle),
    #[error("Composing of type {0:?} can't be done")]
    Type(Handle<crate::Type>),
    #[error("Composing expects {expected} components but {given} were given")]
    ComponentCount { given: u32, expected: u32 },
    #[error("Composing {index}'s component type is not expected")]
    ComponentType { index: u32 },
}

#[cfg(feature = "validate")]
pub fn validate_compose(
    self_ty_handle: Handle<crate::Type>,
    constant_arena: &Arena<crate::Constant>,
    type_arena: &UniqueArena<crate::Type>,
    component_resolutions: impl ExactSizeIterator<Item = TypeResolution>,
) -> Result<(), ComposeError> {
    use crate::TypeInner as Ti;

    let self_ty = type_arena.get_handle(self_ty_handle)?;
    match self_ty.inner {
        // vectors are composed from scalars or other vectors
        Ti::Vector { size, kind, width } => {
            let mut total = 0;
            for (index, comp_res) in component_resolutions.enumerate() {
                total += match *comp_res.inner_with(type_arena) {
                    Ti::Scalar {
                        kind: comp_kind,
                        width: comp_width,
                    } if comp_kind == kind && comp_width == width => 1,
                    Ti::Vector {
                        size: comp_size,
                        kind: comp_kind,
                        width: comp_width,
                    } if comp_kind == kind && comp_width == width => comp_size as u32,
                    ref other => {
                        log::error!("Vector component[{}] type {:?}", index, other);
                        return Err(ComposeError::ComponentType {
                            index: index as u32,
                        });
                    }
                };
            }
            if size as u32 != total {
                return Err(ComposeError::ComponentCount {
                    expected: size as u32,
                    given: total,
                });
            }
        }
        // matrix are composed from column vectors
        Ti::Matrix {
            columns,
            rows,
            width,
        } => {
            let inner = Ti::Vector {
                size: rows,
                kind: crate::ScalarKind::Float,
                width,
            };
            if columns as usize != component_resolutions.len() {
                return Err(ComposeError::ComponentCount {
                    expected: columns as u32,
                    given: component_resolutions.len() as u32,
                });
            }
            for (index, comp_res) in component_resolutions.enumerate() {
                if comp_res.inner_with(type_arena) != &inner {
                    log::error!("Matrix component[{}] type {:?}", index, comp_res);
                    return Err(ComposeError::ComponentType {
                        index: index as u32,
                    });
                }
            }
        }
        Ti::Array {
            base,
            size: crate::ArraySize::Constant(handle),
            stride: _,
        } => {
            let count = constant_arena[handle].to_array_length().unwrap();
            if count as usize != component_resolutions.len() {
                return Err(ComposeError::ComponentCount {
                    expected: count,
                    given: component_resolutions.len() as u32,
                });
            }
            for (index, comp_res) in component_resolutions.enumerate() {
                let base_inner = &type_arena[base].inner;
                let comp_res_inner = comp_res.inner_with(type_arena);
                // We don't support arrays of pointers, but it seems best not to
                // embed that assumption here, so use `TypeInner::equivalent`.
                if !base_inner.equivalent(comp_res_inner, type_arena) {
                    log::error!("Array component[{}] type {:?}", index, comp_res);
                    return Err(ComposeError::ComponentType {
                        index: index as u32,
                    });
                }
            }
        }
        Ti::Struct { ref members, .. } => {
            if members.len() != component_resolutions.len() {
                return Err(ComposeError::ComponentCount {
                    given: component_resolutions.len() as u32,
                    expected: members.len() as u32,
                });
            }
            for (index, (member, comp_res)) in members.iter().zip(component_resolutions).enumerate()
            {
                let member_inner = &type_arena[member.ty].inner;
                let comp_res_inner = comp_res.inner_with(type_arena);
                // We don't support pointers in structs, but it seems best not to embed
                // that assumption here, so use `TypeInner::equivalent`.
                if !comp_res_inner.equivalent(member_inner, type_arena) {
                    log::error!("Struct component[{}] type {:?}", index, comp_res);
                    return Err(ComposeError::ComponentType {
                        index: index as u32,
                    });
                }
            }
        }
        ref other => {
            log::error!("Composing of {:?}", other);
            return Err(ComposeError::Type(self_ty_handle));
        }
    }

    Ok(())
}


================================================
FILE: lib/naga/src/valid/expression.rs
================================================
#[cfg(feature = "validate")]
use super::{compose::validate_compose, FunctionInfo, ShaderStages, TypeFlags};
#[cfg(feature = "validate")]
use crate::arena::UniqueArena;

use crate::{
    arena::{BadHandle, Handle},
    proc::{IndexableLengthError, ResolveError},
};

#[derive(Clone, Debug, thiserror::Error)]
#[cfg_attr(test, derive(PartialEq))]
pub enum ExpressionError {
    #[error("Doesn't exist")]
    DoesntExist,
    #[error("Used by a statement before it was introduced into the scope by any of the dominating blocks")]
    NotInScope,
    #[error("Depends on {0:?}, which has not been processed yet")]
    ForwardDependency(Handle<crate::Expression>),
    #[error(transparent)]
    BadDependency(#[from] BadHandle),
    #[error("Base type {0:?} is not compatible with this expression")]
    InvalidBaseType(Handle<crate::Expression>),
    #[error("Accessing with index {0:?} can't be done")]
    InvalidIndexType(Handle<crate::Expression>),
    #[error("Accessing index {1:?} is out of {0:?} bounds")]
    IndexOutOfBounds(Handle<crate::Expression>, crate::ScalarValue),
    #[error("The expression {0:?} may only be indexed by a constant")]
    IndexMustBeConstant(Handle<crate::Expression>),
    #[error("Function argument {0:?} doesn't exist")]
    FunctionArgumentDoesntExist(u32),
    #[error("Loading of {0:?} can't be done")]
    InvalidPointerType(Handle<crate::Expression>),
    #[error("Array length of {0:?} can't be done")]
    InvalidArrayType(Handle<crate::Expression>),
    #[error("Splatting {0:?} can't be done")]
    InvalidSplatType(Handle<crate::Expression>),
    #[error("Swizzling {0:?} can't be done")]
    InvalidVectorType(Handle<crate::Expression>),
    #[error("Swizzle component {0:?} is outside of vector size {1:?}")]
    InvalidSwizzleComponent(crate::SwizzleComponent, crate::VectorSize),
    #[error(transparent)]
    Compose(#[from] super::ComposeError),
    #[error(transparent)]
    IndexableLength(#[from] IndexableLengthError),
    #[error("Operation {0:?} can't work with {1:?}")]
    InvalidUnaryOperandType(crate::UnaryOperator, Handle<crate::Expression>),
    #[error("Operation {0:?} can't work with {1:?} and {2:?}")]
    InvalidBinaryOperandTypes(
        crate::BinaryOperator,
        Handle<crate::Expression>,
        Handle<crate::Expression>,
    ),
    #[error("Selecting is not possible")]
    InvalidSelectTypes,
    #[error("Relational argument {0:?} is not a boolean vector")]
    InvalidBooleanVector(Handle<crate::Expression>),
    #[error("Relational argument {0:?} is not a float")]
    InvalidFloatArgument(Handle<crate::Expression>),
    #[error("Type resolution failed")]
    Type(#[from] ResolveError),
    #[error("Not a global variable")]
    ExpectedGlobalVariable,
    #[error("Not a global variable or a function argument")]
    ExpectedGlobalOrArgument,
    #[error("Calling an undeclared function {0:?}")]
    CallToUndeclaredFunction(Handle<crate::Function>),
    #[error("Needs to be an binding array instead of {0:?}")]
    ExpectedBindingArrayType(Handle<crate::Type>),
    #[error("Needs to be an image instead of {0:?}")]
    ExpectedImageType(Handle<crate::Type>),
    #[error("Needs to be an image instead of {0:?}")]
    ExpectedSamplerType(Handle<crate::Type>),
    #[error("Unable to operate on image class {0:?}")]
    InvalidImageClass(crate::ImageClass),
    #[error("Derivatives can only be taken from scalar and vector floats")]
    InvalidDerivative,
    #[error("Image array index parameter is misplaced")]
    InvalidImageArrayIndex,
    #[error("Inappropriate sample or level-of-detail index for texel access")]
    InvalidImageOtherIndex,
    #[error("Image array index type of {0:?} is not an integer scalar")]
    InvalidImageArrayIndexType(Handle<crate::Expression>),
    #[error("Image sample or level-of-detail index's type of {0:?} is not an integer scalar")]
    InvalidImageOtherIndexType(Handle<crate::Expression>),
    #[error("Image coordinate type of {1:?} does not match dimension {0:?}")]
    InvalidImageCoordinateType(crate::ImageDimension, Handle<crate::Expression>),
    #[error("Comparison sampling mismatch: image has class {image:?}, but the sampler is comparison={sampler}, and the reference was provided={has_ref}")]
    ComparisonSamplingMismatch {
        image: crate::ImageClass,
        sampler: bool,
        has_ref: bool,
    },
    #[error("Sample offset constant {1:?} doesn't match the image dimension {0:?}")]
    InvalidSampleOffset(crate::ImageDimension, Handle<crate::Constant>),
    #[error("Depth reference {0:?} is not a scalar float")]
    InvalidDepthReference(Handle<crate::Expression>),
    #[error("Depth sample level can only be Auto or Zero")]
    InvalidDepthSampleLevel,
    #[error("Gather level can only be Zero")]
    InvalidGatherLevel,
    #[error("Gather component {0:?} doesn't exist in the image")]
    InvalidGatherComponent(crate::SwizzleComponent),
    #[error("Gather can't be done for image dimension {0:?}")]
    InvalidGatherDimension(crate::ImageDimension),
    #[error("Sample level (exact) type {0:?} is not a scalar float")]
    InvalidSampleLevelExactType(Handle<crate::Expression>),
    #[error("Sample level (bias) type {0:?} is not a scalar float")]
    InvalidSampleLevelBiasType(Handle<crate::Expression>),
    #[error("Sample level (gradient) of {1:?} doesn't match the image dimension {0:?}")]
    InvalidSampleLevelGradientType(crate::ImageDimension, Handle<crate::Expression>),
    #[error("Unable to cast")]
    InvalidCastArgument,
    #[error("Invalid argument count for {0:?}")]
    WrongArgumentCount(crate::MathFunction),
    #[error("Argument [{1}] to {0:?} as expression {2:?} has an invalid type.")]
    InvalidArgumentType(crate::MathFunction, u32, Handle<crate::Expression>),
    #[error("Atomic result type can't be {0:?} of {1} bytes")]
    InvalidAtomicResultType(crate::ScalarKind, crate::Bytes),
    #[error("Shader requires capability {0:?}")]
    MissingCapabilities(super::Capabilities),
}

#[cfg(feature = "validate")]
struct ExpressionTypeResolver<'a> {
    root: Handle<crate::Expression>,
    types: &'a UniqueArena<crate::Type>,
    info: &'a FunctionInfo,
}

#[cfg(feature = "validate")]
impl<'a> ExpressionTypeResolver<'a> {
    fn resolve(
        &self,
        handle: Handle<crate::Expression>,
    ) -> Result<&'a crate::TypeInner, ExpressionError> {
        if handle < self.root {
            Ok(self.info[handle].ty.inner_with(self.types))
        } else {
            Err(ExpressionError::ForwardDependency(handle))
        }
    }
}

#[cfg(feature = "validate")]
impl super::Validator {
    pub(super) fn validate_expression(
        &self,
        root: Handle<crate::Expression>,
        expression: &crate::Expression,
        function: &crate::Function,
        module: &crate::Module,
        info: &FunctionInfo,
        other_infos: &[FunctionInfo],
    ) -> Result<ShaderStages, ExpressionError> {
        use crate::{Expression as E, ScalarKind as Sk, TypeInner as Ti};

        let resolver = ExpressionTypeResolver {
            root,
            types: &module.types,
            info,
        };

        let stages = match *expression {
            E::Access { base, index } => {
                let base_type = resolver.resolve(base)?;
                // See the documentation for `Expression::Access`.
                let dynamic_indexing_restricted = match *base_type {
                    Ti::Vector { .. } => false,
                    Ti::Matrix { .. } | Ti::Array { .. } => true,
                    Ti::Pointer { .. }
                    | Ti::ValuePointer { size: Some(_), .. }
                    | Ti::BindingArray { .. } => false,
                    ref other => {
                        log::error!("Indexing of {:?}", other);
                        return Err(ExpressionError::InvalidBaseType(base));
                    }
                };
                match *resolver.resolve(index)? {
                    //TODO: only allow one of these
                    Ti::Scalar {
                        kind: Sk::Sint | Sk::Uint,
                        width: _,
                    } => {}
                    ref other => {
                        log::error!("Indexing by {:?}", other);
                        return Err(ExpressionError::InvalidIndexType(index));
                    }
                }
                if dynamic_indexing_restricted
                    && function.expressions[index].is_dynamic_index(module)
                {
                    return Err(ExpressionError::IndexMustBeConstant(base));
                }

                // If we know both the length and the index, we can do the
                // bounds check now.
                if let crate::proc::IndexableLength::Known(known_length) =
                    base_type.indexable_length(module)?
                {
                    if let E::Constant(k) = function.expressions[index] {
                        if let crate::Constant {
                            // We must treat specializable constants as unknown.
                            specialization: None,
                            // Non-scalar indices should have been caught above.
                            inner: crate::ConstantInner::Scalar { value, .. },
                            ..
                        } = module.constants[k]
                        {
                            match value {
                                crate::ScalarValue::Uint(u) if u >= known_length as u64 => {
                                    return Err(ExpressionError::IndexOutOfBounds(base, value));
                                }
                                crate::ScalarValue::Sint(s)
                                    if s < 0 || s >= known_length as i64 =>
                                {
                                    return Err(ExpressionError::IndexOutOfBounds(base, value));
                                }
                                _ => (),
                            }
                        }
                    }
                }

                ShaderStages::all()
            }
            E::AccessIndex { base, index } => {
                fn resolve_index_limit(
                    module: &crate::Module,
                    top: Handle<crate::Expression>,
                    ty: &crate::TypeInner,
                    top_level: bool,
                ) -> Result<u32, ExpressionError> {
                    let limit = match *ty {
                        Ti::Vector { size, .. }
                        | Ti::ValuePointer {
                            size: Some(size), ..
                        } => size as u32,
                        Ti::Matrix { columns, .. } => columns as u32,
                        Ti::Array {
                            size: crate::ArraySize::Constant(handle),
                            ..
                        } => module.constants[handle].to_array_length().unwrap(),
                        Ti::Array { .. } | Ti::BindingArray { .. } => u32::MAX, // can't statically know, but need run-time checks
                        Ti::Pointer { base, .. } if top_level => {
                            resolve_index_limit(module, top, &module.types[base].inner, false)?
                        }
                        Ti::Struct { ref members, .. } => members.len() as u32,
                        ref other => {
                            log::error!("Indexing of {:?}", other);
                            return Err(ExpressionError::InvalidBaseType(top));
                        }
                    };
                    Ok(limit)
                }

                let limit = resolve_index_limit(module, base, resolver.resolve(base)?, true)?;
                if index >= limit {
                    return Err(ExpressionError::IndexOutOfBounds(
                        base,
                        crate::ScalarValue::Uint(limit as _),
                    ));
                }
                ShaderStages::all()
            }
            E::Constant(handle) => {
                let _ = module.constants.try_get(handle)?;
                ShaderStages::all()
            }
            E::Splat { size: _, value } => match *resolver.resolve(value)? {
                Ti::Scalar { .. } => ShaderStages::all(),
                ref other => {
                    log::error!("Splat scalar type {:?}", other);
                    return Err(ExpressionError::InvalidSplatType(value));
                }
            },
            E::Swizzle {
                size,
                vector,
                pattern,
            } => {
                let vec_size = match *resolver.resolve(vector)? {
                    Ti::Vector { size: vec_size, .. } => vec_size,
                    ref other => {
                        log::error!("Swizzle vector type {:?}", other);
                        return Err(ExpressionError::InvalidVectorType(vector));
                    }
                };
                for &sc in pattern[..size as usize].iter() {
                    if sc as u8 >= vec_size as u8 {
                        return Err(ExpressionError::InvalidSwizzleComponent(sc, vec_size));
                    }
                }
                ShaderStages::all()
            }
            E::Compose { ref components, ty } => {
                for &handle in components {
                    if handle >= root {
                        return Err(ExpressionError::ForwardDependency(handle));
                    }
                }
                validate_compose(
                    ty,
                    &module.constants,
                    &module.types,
                    components.iter().map(|&handle| info[handle].ty.clone()),
                )?;
                ShaderStages::all()
            }
            E::FunctionArgument(index) => {
                if index >= function.arguments.len() as u32 {
                    return Err(ExpressionError::FunctionArgumentDoesntExist(index));
                }
                ShaderStages::all()
            }
            E::GlobalVariable(handle) => {
                let _ = module.global_variables.try_get(handle)?;
                ShaderStages::all()
            }
            E::LocalVariable(handle) => {
                let _ = function.local_variables.try_get(handle)?;
                ShaderStages::all()
            }
            E::Load { pointer } => {
                match *resolver.resolve(pointer)? {
                    Ti::Pointer { base, .. }
                        if self.types[base.index()]
                            .flags
                            .contains(TypeFlags::SIZED | TypeFlags::DATA) => {}
                    Ti::ValuePointer { .. } => {}
                    ref other => {
                        log::error!("Loading {:?}", other);
                        return Err(ExpressionError::InvalidPointerType(pointer));
                    }
                }
                ShaderStages::all()
            }
            E::ImageSample {
                image,
                sampler,
                gather,
                coordinate,
                array_index,
                offset,
                level,
                depth_ref,
            } => {
                // check the validity of expressions
                let image_ty = match function.expressions[image] {
                    crate::Expression::GlobalVariable(var_handle) => {
                        module.global_variables[var_handle].ty
                    }
                    crate::Expression::FunctionArgument(i) => function.arguments[i as usize].ty,
                    crate::Expression::Access { base, .. }
                    | crate::Expression::AccessIndex { base, .. } => {
                        match function.expressions[base] {
                            crate::Expression::GlobalVariable(var_handle) => {
                                let array_ty = module.global_variables[var_handle].ty;

                                match module.types[array_ty].inner {
                                    Ti::BindingArray { base, .. } => base,
                                    _ => {
                                        return Err(ExpressionError::ExpectedBindingArrayType(
                                            array_ty,
                                        ))
                                    }
                                }
                            }
                            _ => return Err(ExpressionError::ExpectedGlobalVariable),
                        }
                    }
                    _ => return Err(ExpressionError::ExpectedGlobalVariable),
                };

                let sampler_ty = match function.expressions[sampler] {
                    crate::Expression::GlobalVariable(var_handle) => {
                        module.global_variables[var_handle].ty
                    }
                    crate::Expression::FunctionArgument(i) => function.arguments[i as usize].ty,
                    crate::Expression::Access { base, .. }
                    | crate::Expression::AccessIndex { base, .. } => {
                        match function.expressions[base] {
                            crate::Expression::GlobalVariable(var_handle) => {
                                let array_ty = module.global_variables[var_handle].ty;

                                match module.types[array_ty].inner {
                                    Ti::BindingArray { base, .. } => base,
                                    _ => {
                                        return Err(ExpressionError::ExpectedBindingArrayType(
                                            array_ty,
                                        ))
                                    }
                                }
                            }
                            _ => return Err(ExpressionError::ExpectedGlobalVariable),
                        }
                    }
                    _ => return Err(ExpressionError::ExpectedGlobalVariable),
                };
                let comparison = match module.types[sampler_ty].inner {
                    Ti::Sampler { comparison } => comparison,
                    _ => return Err(ExpressionError::ExpectedSamplerType(sampler_ty)),
                };

                let (class, dim) = match module.types[image_ty].inner {
                    Ti::Image {
                        class,
                        arrayed,
                        dim,
                    } => {
                        // check the array property
                        if arrayed != array_index.is_some() {
                            return Err(ExpressionError::InvalidImageArrayIndex);
                        }
                        if let Some(expr) = array_index {
                            match *resolver.resolve(expr)? {
                                Ti::Scalar {
                                    kind: Sk::Sint,
                                    width: _,
                                } => {}
                                _ => return Err(ExpressionError::InvalidImageArrayIndexType(expr)),
                            }
                        }
                        (class, dim)
                    }
                    _ => return Err(ExpressionError::ExpectedImageType(image_ty)),
                };

                // check sampling and comparison properties
                let image_depth = match class {
                    crate::ImageClass::Sampled {
                        kind: crate::ScalarKind::Float,
                        multi: false,
                    } => false,
                    crate::ImageClass::Depth { multi: false } => true,
                    _ => return Err(ExpressionError::InvalidImageClass(class)),
                };
                if comparison != depth_ref.is_some() || (comparison && !image_depth) {
                    return Err(ExpressionError::ComparisonSamplingMismatch {
                        image: class,
                        sampler: comparison,
                        has_ref: depth_ref.is_some(),
                    });
                }

                // check texture coordinates type
                let num_components = match dim {
                    crate::ImageDimension::D1 => 1,
                    crate::ImageDimension::D2 => 2,
                    crate::ImageDimension::D3 | crate::ImageDimension::Cube => 3,
                };
                match *resolver.resolve(coordinate)? {
                    Ti::Scalar {
                        kind: Sk::Float, ..
                    } if num_components == 1 => {}
                    Ti::Vector {
                        size,
                        kind: Sk::Float,
                        ..
                    } if size as u32 == num_components => {}
                    _ => return Err(ExpressionError::InvalidImageCoordinateType(dim, coordinate)),
                }

                // check constant offset
                if let Some(const_handle) = offset {
                    let good = match module.constants[const_handle].inner {
                        crate::ConstantInner::Scalar {
                            width: _,
                            value: crate::ScalarValue::Sint(_),
                        } => num_components == 1,
                        crate::ConstantInner::Scalar { .. } => false,
                        crate::ConstantInner::Composite { ty, .. } => {
                            match module.types[ty].inner {
                                Ti::Vector {
                                    size,
                                    kind: Sk::Sint,
                                    ..
                                } => size as u32 == num_components,
                                _ => false,
                            }
                        }
                    };
                    if !good {
                        return Err(ExpressionError::InvalidSampleOffset(dim, const_handle));
                    }
                }

                // check depth reference type
                if let Some(expr) = depth_ref {
                    match *resolver.resolve(expr)? {
                        Ti::Scalar {
                            kind: Sk::Float, ..
                        } => {}
                        _ => return Err(ExpressionError::InvalidDepthReference(expr)),
                    }
                    match level {
                        crate::SampleLevel::Auto | crate::SampleLevel::Zero => {}
                        _ => return Err(ExpressionError::InvalidDepthSampleLevel),
                    }
                }

                if let Some(component) = gather {
                    match dim {
                        crate::ImageDimension::D2 | crate::ImageDimension::Cube => {}
                        crate::ImageDimension::D1 | crate::ImageDimension::D3 => {
                            return Err(ExpressionError::InvalidGatherDimension(dim))
                        }
                    };
                    let max_component = match class {
                        crate::ImageClass::Depth { .. } => crate::SwizzleComponent::X,
                        _ => crate::SwizzleComponent::W,
                    };
                    if component > max_component {
                        return Err(ExpressionError::InvalidGatherComponent(component));
                    }
                    match level {
                        crate::SampleLevel::Zero => {}
                        _ => return Err(ExpressionError::InvalidGatherLevel),
                    }
                }

                // check level properties
                match level {
                    crate::SampleLevel::Auto => ShaderStages::FRAGMENT,
                    crate::SampleLevel::Zero => ShaderStages::all(),
                    crate::SampleLevel::Exact(expr) => {
                        match *resolver.resolve(expr)? {
                            Ti::Scalar {
                                kind: Sk::Float, ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidSampleLevelExactType(expr)),
                        }
                        ShaderStages::all()
                    }
                    crate::SampleLevel::Bias(expr) => {
                        match *resolver.resolve(expr)? {
                            Ti::Scalar {
                                kind: Sk::Float, ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidSampleLevelBiasType(expr)),
                        }
                        ShaderStages::all()
                    }
                    crate::SampleLevel::Gradient { x, y } => {
                        match *resolver.resolve(x)? {
                            Ti::Scalar {
                                kind: Sk::Float, ..
                            } if num_components == 1 => {}
                            Ti::Vector {
                                size,
                                kind: Sk::Float,
                                ..
                            } if size as u32 == num_components => {}
                            _ => {
                                return Err(ExpressionError::InvalidSampleLevelGradientType(dim, x))
                            }
                        }
                        match *resolver.resolve(y)? {
                            Ti::Scalar {
                                kind: Sk::Float, ..
                            } if num_components == 1 => {}
                            Ti::Vector {
                                size,
                                kind: Sk::Float,
                                ..
                            } if size as u32 == num_components => {}
                            _ => {
                                return Err(ExpressionError::InvalidSampleLevelGradientType(dim, y))
                            }
                        }
                        ShaderStages::all()
                    }
                }
            }
            E::ImageLoad {
                image,
                coordinate,
                array_index,
                sample,
                level,
            } => {
                let ty = match function.expressions[image] {
                    crate::Expression::GlobalVariable(var_handle) => {
                        module.global_variables[var_handle].ty
                    }
                    crate::Expression::FunctionArgument(i) => function.arguments[i as usize].ty,
                    crate::Expression::Access { base, .. }
                    | crate::Expression::AccessIndex { base, .. } => {
                        match function.expressions[base] {
                            crate::Expression::GlobalVariable(var_handle) => {
                                let array_ty = module.global_variables[var_handle].ty;

                                match module.types[array_ty].inner {
                                    Ti::BindingArray { base, .. } => base,
                                    _ => {
                                        return Err(ExpressionError::ExpectedBindingArrayType(
                                            array_ty,
                                        ))
                                    }
                                }
                            }
                            _ => return Err(ExpressionError::ExpectedGlobalVariable),
                        }
                    }
                    _ => return Err(ExpressionError::ExpectedGlobalVariable),
                };
                match module.types[ty].inner {
                    Ti::Image {
                        class,
                        arrayed,
                        dim,
                    } => {
                        match resolver.resolve(coordinate)?.image_storage_coordinates() {
                            Some(coord_dim) if coord_dim == dim => {}
                            _ => {
                                return Err(ExpressionError::InvalidImageCoordinateType(
                                    dim, coordinate,
                                ))
                            }
                        };
                        if arrayed != array_index.is_some() {
                            return Err(ExpressionError::InvalidImageArrayIndex);
                        }
                        if let Some(expr) = array_index {
                            match *resolver.resolve(expr)? {
                                Ti::Scalar {
                                    kind: Sk::Sint,
                                    width: _,
                                } => {}
                                _ => return Err(ExpressionError::InvalidImageArrayIndexType(expr)),
                            }
                        }

                        match (sample, class.is_multisampled()) {
                            (None, false) => {}
                            (Some(sample), true) => {
                                if resolver.resolve(sample)?.scalar_kind() != Some(Sk::Sint) {
                                    return Err(ExpressionError::InvalidImageOtherIndexType(
                                        sample,
                                    ));
                                }
                            }
                            _ => {
                                return Err(ExpressionError::InvalidImageOtherIndex);
                            }
                        }

                        match (level, class.is_mipmapped()) {
                            (None, false) => {}
                            (Some(level), true) => {
                                if resolver.resolve(level)?.scalar_kind() != Some(Sk::Sint) {
                                    return Err(ExpressionError::InvalidImageOtherIndexType(level));
                                }
                            }
                            _ => {
                                return Err(ExpressionError::InvalidImageOtherIndex);
                            }
                        }
                    }
                    _ => return Err(ExpressionError::ExpectedImageType(ty)),
                }
                ShaderStages::all()
            }
            E::ImageQuery { image, query } => {
                let ty = match function.expressions[image] {
                    crate::Expression::GlobalVariable(var_handle) => {
                        module.global_variables[var_handle].ty
                    }
                    crate::Expression::FunctionArgument(i) => function.arguments[i as usize].ty,
                    crate::Expression::Access { base, .. }
                    | crate::Expression::AccessIndex { base, .. } => {
                        match function.expressions[base] {
                            crate::Expression::GlobalVariable(var_handle) => {
                                let array_ty = module.global_variables[var_handle].ty;

                                match module.types[array_ty].inner {
                                    Ti::BindingArray { base, .. } => base,
                                    _ => {
                                        return Err(ExpressionError::ExpectedBindingArrayType(
                                            array_ty,
                                        ))
                                    }
                                }
                            }
                            _ => return Err(ExpressionError::ExpectedGlobalVariable),
                        }
                    }
                    _ => return Err(ExpressionError::ExpectedGlobalVariable),
                };
                match module.types[ty].inner {
                    Ti::Image { class, arrayed, .. } => {
                        let good = match query {
                            crate::ImageQuery::NumLayers => arrayed,
                            crate::ImageQuery::Size { level: None } => true,
                            crate::ImageQuery::Size { level: Some(_) }
                            | crate::ImageQuery::NumLevels => class.is_mipmapped(),
                            crate::ImageQuery::NumSamples => class.is_multisampled(),
                        };
                        if !good {
                            return Err(ExpressionError::InvalidImageClass(class));
                        }
                    }
                    _ => return Err(ExpressionError::ExpectedImageType(ty)),
                }
                ShaderStages::all()
            }
            E::Unary { op, expr } => {
                use crate::UnaryOperator as Uo;
                let inner = resolver.resolve(expr)?;
                match (op, inner.scalar_kind()) {
                    (_, Some(Sk::Sint | Sk::Bool))
                    //TODO: restrict Negate for bools?
                    | (Uo::Negate, Some(Sk::Float))
                    | (Uo::Not, Some(Sk::Uint)) => {}
                    other => {
                        log::error!("Op {:?} kind {:?}", op, other);
                        return Err(ExpressionError::InvalidUnaryOperandType(op, expr));
                    }
                }
                ShaderStages::all()
            }
            E::Binary { op, left, right } => {
                use crate::BinaryOperator as Bo;
                let left_inner = resolver.resolve(left)?;
                let right_inner = resolver.resolve(right)?;
                let good = match op {
                    Bo::Add | Bo::Subtract => match *left_inner {
                        Ti::Scalar { kind, .. } | Ti::Vector { kind, .. } => match kind {
                            Sk::Uint | Sk::Sint | Sk::Float => left_inner == right_inner,
                            Sk::Bool => false,
                        },
                        Ti::Matrix { .. } => left_inner == right_inner,
                        _ => false,
                    },
                    Bo::Divide | Bo::Modulo => match *left_inner {
                        Ti::Scalar { kind, .. } | Ti::Vector { kind, .. } => match kind {
                            Sk::Uint | Sk::Sint | Sk::Float => left_inner == right_inner,
                            Sk::Bool => false,
                        },
                        _ => false,
                    },
                    Bo::Multiply => {
                        let kind_allowed = match left_inner.scalar_kind() {
                            Some(Sk::Uint | Sk::Sint | Sk::Float) => true,
                            Some(Sk::Bool) | None => false,
                        };
                        let types_match = match (left_inner, right_inner) {
                            // Straight scalar and mixed scalar/vector.
                            (&Ti::Scalar { kind: kind1, .. }, &Ti::Scalar { kind: kind2, .. })
                            | (&Ti::Vector { kind: kind1, .. }, &Ti::Scalar { kind: kind2, .. })
                            | (&Ti::Scalar { kind: kind1, .. }, &Ti::Vector { kind: kind2, .. }) => {
                                kind1 == kind2
                            }
                            // Scalar/matrix.
                            (
                                &Ti::Scalar {
                                    kind: Sk::Float, ..
                                },
                                &Ti::Matrix { .. },
                            )
                            | (
                                &Ti::Matrix { .. },
                                &Ti::Scalar {
                                    kind: Sk::Float, ..
                                },
                            ) => true,
                            // Vector/vector.
                            (
                                &Ti::Vector {
                                    kind: kind1,
                                    size: size1,
                                    ..
                                },
                                &Ti::Vector {
                                    kind: kind2,
                                    size: size2,
                                    ..
                                },
                            ) => kind1 == kind2 && size1 == size2,
                            // Matrix * vector.
                            (
                                &Ti::Matrix { columns, .. },
                                &Ti::Vector {
                                    kind: Sk::Float,
                                    size,
                                    ..
                                },
                            ) => columns == size,
                            // Vector * matrix.
                            (
                                &Ti::Vector {
                                    kind: Sk::Float,
                                    size,
                                    ..
                                },
                                &Ti::Matrix { rows, .. },
                            ) => size == rows,
                            (&Ti::Matrix { columns, .. }, &Ti::Matrix { rows, .. }) => {
                                columns == rows
                            }
                            _ => false,
                        };
                        let left_width = match *left_inner {
                            Ti::Scalar { width, .. }
                            | Ti::Vector { width, .. }
                            | Ti::Matrix { width, .. } => width,
                            _ => 0,
                        };
                        let right_width = match *right_inner {
                            Ti::Scalar { width, .. }
                            | Ti::Vector { width, .. }
                            | Ti::Matrix { width, .. } => width,
                            _ => 0,
                        };
                        kind_allowed && types_match && left_width == right_width
                    }
                    Bo::Equal | Bo::NotEqual => left_inner.is_sized() && left_inner == right_inner,
                    Bo::Less | Bo::LessEqual | Bo::Greater | Bo::GreaterEqual => {
                        match *left_inner {
                            Ti::Scalar { kind, .. } | Ti::Vector { kind, .. } => match kind {
                                Sk::Uint | Sk::Sint | Sk::Float => left_inner == right_inner,
                                Sk::Bool => false,
                            },
                            ref other => {
                                log::error!("Op {:?} left type {:?}", op, other);
                                false
                            }
                        }
                    }
                    Bo::LogicalAnd | Bo::LogicalOr => match *left_inner {
                        Ti::Scalar { kind: Sk::Bool, .. } | Ti::Vector { kind: Sk::Bool, .. } => {
                            left_inner == right_inner
                        }
                        ref other => {
                            log::error!("Op {:?} left type {:?}", op, other);
                            false
                        }
                    },
                    Bo::And | Bo::InclusiveOr => match *left_inner {
                        Ti::Scalar { kind, .. } | Ti::Vector { kind, .. } => match kind {
                            Sk::Bool | Sk::Sint | Sk::Uint => left_inner == right_inner,
                            Sk::Float => false,
                        },
                        ref other => {
                            log::error!("Op {:?} left type {:?}", op, other);
                            false
                        }
                    },
                    Bo::ExclusiveOr => match *left_inner {
                        Ti::Scalar { kind, .. } | Ti::Vector { kind, .. } => match kind {
                            Sk::Sint | Sk::Uint => left_inner == right_inner,
                            Sk::Bool | Sk::Float => false,
                        },
                        ref other => {
                            log::error!("Op {:?} left type {:?}", op, other);
                            false
                        }
                    },
                    Bo::ShiftLeft | Bo::ShiftRight => {
                        let (base_size, base_kind) = match *left_inner {
                            Ti::Scalar { kind, .. } => (Ok(None), kind),
                            Ti::Vector { size, kind, .. } => (Ok(Some(size)), kind),
                            ref other => {
                                log::error!("Op {:?} base type {:?}", op, other);
                                (Err(()), Sk::Bool)
                            }
                        };
                        let shift_size = match *right_inner {
                            Ti::Scalar { kind: Sk::Uint, .. } => Ok(None),
                            Ti::Vector {
                                size,
                                kind: Sk::Uint,
                                ..
                            } => Ok(Some(size)),
                            ref other => {
                                log::error!("Op {:?} shift type {:?}", op, other);
                                Err(())
                            }
                        };
                        match base_kind {
                            Sk::Sint | Sk::Uint => base_size.is_ok() && base_size == shift_size,
                            Sk::Float | Sk::Bool => false,
                        }
                    }
                };
                if !good {
                    log::error!(
                        "Left: {:?} of type {:?}",
                        function.expressions[left],
                        left_inner
                    );
                    log::error!(
                        "Right: {:?} of type {:?}",
                        function.expressions[right],
                        right_inner
                    );
                    return Err(ExpressionError::InvalidBinaryOperandTypes(op, left, right));
                }
                ShaderStages::all()
            }
            E::Select {
                condition,
                accept,
                reject,
            } => {
                let accept_inner = resolver.resolve(accept)?;
                let reject_inner = resolver.resolve(reject)?;
                let condition_good = match *resolver.resolve(condition)? {
                    Ti::Scalar {
                        kind: Sk::Bool,
                        width: _,
                    } => {
                        // When `condition` is a single boolean, `accept` and
                        // `reject` can be vectors or scalars.
                        match *accept_inner {
                            Ti::Scalar { .. } | Ti::Vector { .. } => true,
                            _ => false,
                        }
                    }
                    Ti::Vector {
                        size,
                        kind: Sk::Bool,
                        width: _,
                    } => match *accept_inner {
                        Ti::Vector {
                            size: other_size, ..
                        } => size == other_size,
                        _ => false,
                    },
                    _ => false,
                };
                if !condition_good || accept_inner != reject_inner {
                    return Err(ExpressionError::InvalidSelectTypes);
                }
                ShaderStages::all()
            }
            E::Derivative { axis: _, expr } => {
                match *resolver.resolve(expr)? {
                    Ti::Scalar {
                        kind: Sk::Float, ..
                    }
                    | Ti::Vector {
                        kind: Sk::Float, ..
                    } => {}
                    _ => return Err(ExpressionError::InvalidDerivative),
                }
                ShaderStages::FRAGMENT
            }
            E::Relational { fun, argument } => {
                use crate::RelationalFunction as Rf;
                let argument_inner = resolver.resolve(argument)?;
                match fun {
                    Rf::All | Rf::Any => match *argument_inner {
                        Ti::Vector { kind: Sk::Bool, .. } => {}
                        ref other => {
                            log::error!("All/Any of type {:?}", other);
                            return Err(ExpressionError::InvalidBooleanVector(argument));
                        }
                    },
                    Rf::IsNan | Rf::IsInf | Rf::IsFinite | Rf::IsNormal => match *argument_inner {
                        Ti::Scalar {
                            kind: Sk::Float, ..
                        }
                        | Ti::Vector {
                            kind: Sk::Float, ..
                        } => {}
                        ref other => {
                            log::error!("Float test of type {:?}", other);
                            return Err(ExpressionError::InvalidFloatArgument(argument));
                        }
                    },
                }
                ShaderStages::all()
            }
            E::Math {
                fun,
                arg,
                arg1,
                arg2,
                arg3,
            } => {
                use crate::MathFunction as Mf;

                let arg_ty = resolver.resolve(arg)?;
                let arg1_ty = arg1.map(|expr| resolver.resolve(expr)).transpose()?;
                let arg2_ty = arg2.map(|expr| resolver.resolve(expr)).transpose()?;
                let arg3_ty = arg3.map(|expr| resolver.resolve(expr)).transpose()?;
                match fun {
                    Mf::Abs => {
                        if arg1_ty.is_some() | arg2_ty.is_some() | arg3_ty.is_some() {
                            return Err(ExpressionError::WrongArgumentCount(fun));
                        }
                        let good = match *arg_ty {
                            Ti::Scalar { kind, .. } | Ti::Vector { kind, .. } => kind != Sk::Bool,
                            _ => false,
                        };
                        if !good {
                            return Err(ExpressionError::InvalidArgumentType(fun, 0, arg));
                        }
                    }
                    Mf::Min | Mf::Max => {
                        let arg1_ty = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), None, None) => ty1,
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        let good = match *arg_ty {
                            Ti::Scalar { kind, .. } | Ti::Vector { kind, .. } => kind != Sk::Bool,
                            _ => false,
                        };
                        if !good {
                            return Err(ExpressionError::InvalidArgumentType(fun, 0, arg));
                        }
                        if arg1_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }
                    }
                    Mf::Clamp => {
                        let (arg1_ty, arg2_ty) = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), Some(ty2), None) => (ty1, ty2),
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        let good = match *arg_ty {
                            Ti::Scalar { kind, .. } | Ti::Vector { kind, .. } => kind != Sk::Bool,
                            _ => false,
                        };
                        if !good {
                            return Err(ExpressionError::InvalidArgumentType(fun, 0, arg));
                        }
                        if arg1_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }
                        if arg2_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                2,
                                arg2.unwrap(),
                            ));
                        }
                    }
                    Mf::Saturate
                    | Mf::Cos
                    | Mf::Cosh
                    | Mf::Sin
                    | Mf::Sinh
                    | Mf::Tan
                    | Mf::Tanh
                    | Mf::Acos
                    | Mf::Asin
                    | Mf::Atan
                    | Mf::Asinh
                    | Mf::Acosh
                    | Mf::Atanh
                    | Mf::Radians
                    | Mf::Degrees
                    | Mf::Ceil
                    | Mf::Floor
                    | Mf::Round
                    | Mf::Fract
                    | Mf::Trunc
                    | Mf::Exp
                    | Mf::Exp2
                    | Mf::Log
                    | Mf::Log2
                    | Mf::Length
                    | Mf::Sign
                    | Mf::Sqrt
                    | Mf::InverseSqrt => {
                        if arg1_ty.is_some() | arg2_ty.is_some() | arg3_ty.is_some() {
                            return Err(ExpressionError::WrongArgumentCount(fun));
                        }
                        match *arg_ty {
                            Ti::Scalar {
                                kind: Sk::Float, ..
                            }
                            | Ti::Vector {
                                kind: Sk::Float, ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                    }
                    Mf::Atan2 | Mf::Pow | Mf::Distance | Mf::Step => {
                        let arg1_ty = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), None, None) => ty1,
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        match *arg_ty {
                            Ti::Scalar {
                                kind: Sk::Float, ..
                            }
                            | Ti::Vector {
                                kind: Sk::Float, ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                        if arg1_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }
                    }
                    Mf::Modf | Mf::Frexp | Mf::Ldexp => {
                        let arg1_ty = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), None, None) => ty1,
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        let (size0, width0) = match *arg_ty {
                            Ti::Scalar {
                                kind: Sk::Float,
                                width,
                            } => (None, width),
                            Ti::Vector {
                                kind: Sk::Float,
                                size,
                                width,
                            } => (Some(size), width),
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        };
                        let good = match *arg1_ty {
                            Ti::Pointer { base, space: _ } => module.types[base].inner == *arg_ty,
                            Ti::ValuePointer {
                                size,
                                kind: Sk::Float,
                                width,
                                space: _,
                            } => size == size0 && width == width0,
                            _ => false,
                        };
                        if !good {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }
                    }
                    Mf::Dot => {
                        let arg1_ty = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), None, None) => ty1,
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        match *arg_ty {
                            Ti::Vector {
                                kind: Sk::Float | Sk::Sint | Sk::Uint,
                                ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                        if arg1_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }
                    }
                    Mf::Outer | Mf::Cross | Mf::Reflect => {
                        let arg1_ty = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), None, None) => ty1,
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        match *arg_ty {
                            Ti::Vector {
                                kind: Sk::Float, ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                        if arg1_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }
                    }
                    Mf::Refract => {
                        let (arg1_ty, arg2_ty) = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), Some(ty2), None) => (ty1, ty2),
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };

                        match *arg_ty {
                            Ti::Vector {
                                kind: Sk::Float, ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }

                        if arg1_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }

                        match (arg_ty, arg2_ty) {
                            (
                                &Ti::Vector {
                                    width: vector_width,
                                    ..
                                },
                                &Ti::Scalar {
                                    width: scalar_width,
                                    kind: Sk::Float,
                                },
                            ) if vector_width == scalar_width => {}
                            _ => {
                                return Err(ExpressionError::InvalidArgumentType(
                                    fun,
                                    2,
                                    arg2.unwrap(),
                                ))
                            }
                        }
                    }
                    Mf::Normalize => {
                        if arg1_ty.is_some() | arg2_ty.is_some() | arg3_ty.is_some() {
                            return Err(ExpressionError::WrongArgumentCount(fun));
                        }
                        match *arg_ty {
                            Ti::Vector {
                                kind: Sk::Float, ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                    }
                    Mf::FaceForward | Mf::Fma | Mf::SmoothStep => {
                        let (arg1_ty, arg2_ty) = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), Some(ty2), None) => (ty1, ty2),
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        match *arg_ty {
                            Ti::Scalar {
                                kind: Sk::Float, ..
                            }
                            | Ti::Vector {
                                kind: Sk::Float, ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                        if arg1_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }
                        if arg2_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                2,
                                arg2.unwrap(),
                            ));
                        }
                    }
                    Mf::Mix => {
                        let (arg1_ty, arg2_ty) = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), Some(ty2), None) => (ty1, ty2),
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        let arg_width = match *arg_ty {
                            Ti::Scalar {
                                kind: Sk::Float,
                                width,
                            }
                            | Ti::Vector {
                                kind: Sk::Float,
                                width,
                                ..
                            } => width,
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        };
                        if arg1_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }
                        // the last argument can always be a scalar
                        match *arg2_ty {
                            Ti::Scalar {
                                kind: Sk::Float,
                                width,
                            } if width == arg_width => {}
                            _ if arg2_ty == arg_ty => {}
                            _ => {
                                return Err(ExpressionError::InvalidArgumentType(
                                    fun,
                                    2,
                                    arg2.unwrap(),
                                ));
                            }
                        }
                    }
                    Mf::Inverse | Mf::Determinant => {
                        if arg1_ty.is_some() | arg2_ty.is_some() | arg3_ty.is_some() {
                            return Err(ExpressionError::WrongArgumentCount(fun));
                        }
                        let good = match *arg_ty {
                            Ti::Matrix { columns, rows, .. } => columns == rows,
                            _ => false,
                        };
                        if !good {
                            return Err(ExpressionError::InvalidArgumentType(fun, 0, arg));
                        }
                    }
                    Mf::Transpose => {
                        if arg1_ty.is_some() | arg2_ty.is_some() | arg3_ty.is_some() {
                            return Err(ExpressionError::WrongArgumentCount(fun));
                        }
                        match *arg_ty {
                            Ti::Matrix { .. } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                    }
                    Mf::CountOneBits | Mf::ReverseBits | Mf::FindLsb | Mf::FindMsb => {
                        if arg1_ty.is_some() | arg2_ty.is_some() | arg3_ty.is_some() {
                            return Err(ExpressionError::WrongArgumentCount(fun));
                        }
                        match *arg_ty {
                            Ti::Scalar {
                                kind: Sk::Sint | Sk::Uint,
                                ..
                            }
                            | Ti::Vector {
                                kind: Sk::Sint | Sk::Uint,
                                ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                    }
                    Mf::InsertBits => {
                        let (arg1_ty, arg2_ty, arg3_ty) = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), Some(ty2), Some(ty3)) => (ty1, ty2, ty3),
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        match *arg_ty {
                            Ti::Scalar {
                                kind: Sk::Sint | Sk::Uint,
                                ..
                            }
                            | Ti::Vector {
                                kind: Sk::Sint | Sk::Uint,
                                ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                        if arg1_ty != arg_ty {
                            return Err(ExpressionError::InvalidArgumentType(
                                fun,
                                1,
                                arg1.unwrap(),
                            ));
                        }
                        match *arg2_ty {
                            Ti::Scalar { kind: Sk::Uint, .. } => {}
                            _ => {
                                return Err(ExpressionError::InvalidArgumentType(
                                    fun,
                                    2,
                                    arg2.unwrap(),
                                ))
                            }
                        }
                        match *arg3_ty {
                            Ti::Scalar { kind: Sk::Uint, .. } => {}
                            _ => {
                                return Err(ExpressionError::InvalidArgumentType(
                                    fun,
                                    2,
                                    arg3.unwrap(),
                                ))
                            }
                        }
                    }
                    Mf::ExtractBits => {
                        let (arg1_ty, arg2_ty) = match (arg1_ty, arg2_ty, arg3_ty) {
                            (Some(ty1), Some(ty2), None) => (ty1, ty2),
                            _ => return Err(ExpressionError::WrongArgumentCount(fun)),
                        };
                        match *arg_ty {
                            Ti::Scalar {
                                kind: Sk::Sint | Sk::Uint,
                                ..
                            }
                            | Ti::Vector {
                                kind: Sk::Sint | Sk::Uint,
                                ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                        match *arg1_ty {
                            Ti::Scalar { kind: Sk::Uint, .. } => {}
                            _ => {
                                return Err(ExpressionError::InvalidArgumentType(
                                    fun,
                                    2,
                                    arg1.unwrap(),
                                ))
                            }
                        }
                        match *arg2_ty {
                            Ti::Scalar { kind: Sk::Uint, .. } => {}
                            _ => {
                                return Err(ExpressionError::InvalidArgumentType(
                                    fun,
                                    2,
                                    arg2.unwrap(),
                                ))
                            }
                        }
                    }
                    Mf::Pack2x16unorm | Mf::Pack2x16snorm | Mf::Pack2x16float => {
                        if arg1_ty.is_some() | arg2_ty.is_some() | arg3_ty.is_some() {
                            return Err(ExpressionError::WrongArgumentCount(fun));
                        }
                        match *arg_ty {
                            Ti::Vector {
                                size: crate::VectorSize::Bi,
                                kind: Sk::Float,
                                ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                    }
                    Mf::Pack4x8snorm | Mf::Pack4x8unorm => {
                        if arg1_ty.is_some() | arg2_ty.is_some() | arg3_ty.is_some() {
                            return Err(ExpressionError::WrongArgumentCount(fun));
                        }
                        match *arg_ty {
                            Ti::Vector {
                                size: crate::VectorSize::Quad,
                                kind: Sk::Float,
                                ..
                            } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                    }
                    Mf::Unpack2x16float
                    | Mf::Unpack2x16snorm
                    | Mf::Unpack2x16unorm
                    | Mf::Unpack4x8snorm
                    | Mf::Unpack4x8unorm => {
                        if arg1_ty.is_some() | arg2_ty.is_some() | arg3_ty.is_some() {
                            return Err(ExpressionError::WrongArgumentCount(fun));
                        }
                        match *arg_ty {
                            Ti::Scalar { kind: Sk::Uint, .. } => {}
                            _ => return Err(ExpressionError::InvalidArgumentType(fun, 0, arg)),
                        }
                    }
                }
                ShaderStages::all()
            }
            E::As {
                expr,
                kind,
                convert,
            } => {
                let base_width = match *resolver.resolve(expr)? {
                    crate::TypeInner::Scalar { width, .. }
                    | crate::TypeInner::Vector { width, .. }
                    | crate::TypeInner::Matrix { width, .. } => width,
                    _ => return Err(ExpressionError::InvalidCastArgument),
                };
                let width = convert.unwrap_or(base_width);
                if !self.check_width(kind, width) {
                    return Err(ExpressionError::InvalidCastArgument);
                }
                ShaderStages::all()
            }
            E::CallResult(function) => other_infos[function.index()].available_stages,
            E::AtomicResult {
                kind,
                width,
                comparison: _,
            } => {
                let good = match kind {
                    crate::ScalarKind::Uint | crate::ScalarKind::Sint => {
                        self.check_width(kind, width)
                    }
                    _ => false,
                };
                if !good {
                    return Err(ExpressionError::InvalidAtomicResultType(kind, width));
                }
                ShaderStages::all()
            }
            E::ArrayLength(expr) => match *resolver.resolve(expr)? {
                Ti::Pointer { base, .. } => {
                    let base_ty = resolver.types.get_handle(base)?;
                    if let Ti::Array {
                        size: crate::ArraySize::Dynamic,
                        ..
                    } = base_ty.inner
                    {
                        ShaderStages::all()
                    } else {
                        return Err(ExpressionError::InvalidArrayType(expr));
                    }
                }
                ref other => {
                    log::error!("Array length of {:?}", other);
                    return Err(ExpressionError::InvalidArrayType(expr));
                }
            },
        };
        Ok(stages)
    }
}


================================================
FILE: lib/naga/src/valid/function.rs
================================================
#[cfg(feature = "validate")]
use crate::arena::{Arena, UniqueArena};
use crate::arena::{BadHandle, Handle};

use super::{
    analyzer::{UniformityDisruptor, UniformityRequirements},
    ExpressionError, FunctionInfo, ModuleInfo,
};
use crate::span::WithSpan;
#[cfg(feature = "validate")]
use crate::span::{AddSpan as _, MapErrWithSpan as _};

#[cfg(feature = "validate")]
use bit_set::BitSet;

#[derive(Clone, Debug, thiserror::Error)]
#[cfg_attr(test, derive(PartialEq))]
pub enum CallError {
    #[error(transparent)]
    BadHandle(#[from] BadHandle),
    #[error("The callee is declared after the caller")]
    ForwardDeclaredFunction,
    #[error("Argument {index} expression is invalid")]
    Argument {
        index: usize,
        #[source]
        error: ExpressionError,
    },
    #[error("Result expression {0:?} has already been introduced earlier")]
    ResultAlreadyInScope(Handle<crate::Expression>),
    #[error("Result value is invalid")]
    ResultValue(#[source] ExpressionError),
    #[error("Requires {required} arguments, but {seen} are provided")]
    ArgumentCount { required: usize, seen: usize },
    #[error("Argument {index} value {seen_expression:?} doesn't match the type {required:?}")]
    ArgumentType {
        index: usize,
        required: Handle<crate::Type>,
        seen_expression: Handle<crate::Expression>,
    },
    #[error("The emitted expression doesn't match the call")]
    ExpressionMismatch(Option<Handle<crate::Expression>>),
}

#[derive(Clone, Debug, thiserror::Error)]
#[cfg_attr(test, derive(PartialEq))]
pub enum AtomicError {
    #[error("Pointer {0:?} to atomic is invalid.")]
    InvalidPointer(Handle<crate::Expression>),
    #[error("Operand {0:?} has invalid type.")]
    InvalidOperand(Handle<crate::Expression>),
    #[error("Result expression {0:?} has already been introduced earlier")]
    ResultAlreadyInScope(Handle<crate::Expression>),
    #[error("Result type for {0:?} doesn't match the statement")]
    ResultTypeMismatch(Handle<crate::Expression>),
}

#[derive(Clone, Debug, thiserror::Error)]
#[cfg_attr(test, derive(PartialEq))]
pub enum LocalVariableError {
    #[error("Local variable has a type {0:?} that can't be stored in a local variable.")]
    InvalidType(Handle<crate::Type>),
    #[error("Initializer doesn't match the variable type")]
    InitializerType,
}

#[derive(Clone, Debug, thiserror::Error)]
#[cfg_attr(test, derive(PartialEq))]
pub enum FunctionError {
    #[error(transparent)]
    BadHandle(#[from] BadHandle),
    #[error("Expression {handle:?} is invalid")]
    Expression {
        handle: Handle<crate::Expression>,
        #[source]
        error: ExpressionError,
    },
    #[error("Expression {0:?} can't be introduced - it's already in scope")]
    ExpressionAlreadyInScope(Handle<crate::Expression>),
    #[error("Local variable {handle:?} '{name}' is invalid")]
    LocalVariable {
        handle: Handle<crate::LocalVariable>,
        name: String,
        #[source]
        error: LocalVariableError,
    },
    #[error("Argument '{name}' at index {index} has a type that can't be passed into functions.")]
    InvalidArgumentType { index: usize, name: String },
    #[error("The function's given return type cannot be returned from functions")]
    NonConstructibleReturnType,
    #[error("Argument '{name}' at index {index} is a pointer of space {space:?}, which can't be passed into functions.")]
    InvalidArgumentPointerSpace {
        index: usize,
        name: String,
        space: crate::AddressSpace,
    },
    #[error("There are instructions after `return`/`break`/`continue`")]
    InstructionsAfterReturn,
    #[error("The `break` is used outside of a `loop` or `switch` context")]
    BreakOutsideOfLoopOrSwitch,
    #[error("The `continue` is used outside of a `loop` context")]
    ContinueOutsideOfLoop,
    #[error("The `return` is called within a `continuing` block")]
    InvalidReturnSpot,
    #[error("The `return` value {0:?} does not match the function return value")]
    InvalidReturnType(Option<Handle<crate::Expression>>),
    #[error("The `if` condition {0:?} is not a boolean scalar")]
    InvalidIfType(Handle<crate::Expression>),
    #[error("The `switch` value {0:?} is not an integer scalar")]
    InvalidSwitchType(Handle<crate::Expression>),
    #[error("Multiple `switch` cases for {0:?} are present")]
    ConflictingSwitchCase(i32),
    #[error("The `switch` is missing a `default` case")]
    MissingDefaultCase,
    #[error("Multiple `default` cases are present")]
    MultipleDefaultCases,
    #[error("The last `switch` case contains a `falltrough`")]
    LastCaseFallTrough,
    #[error("The pointer {0:?} doesn't relate to a valid destination for a store")]
    InvalidStorePointer(Handle<crate::Expression>),
    #[error("The value {0:?} can not be stored")]
    InvalidStoreValue(Handle<crate::Expression>),
    #[error("Store of {value:?} into {pointer:?} doesn't have matching types")]
    InvalidStoreTypes {
        pointer: Handle<crate::Expression>,
        value: Handle<crate::Expression>,
    },
    #[error("Image store parameters are invalid")]
    InvalidImageStore(#[source] ExpressionError),
    #[error("Call to {function:?} is invalid")]
    InvalidCall {
        function: Handle<crate::Function>,
        #[source]
        error: CallError,
    },
    #[error("Atomic operation is invalid")]
    InvalidAtomic(#[from] AtomicError),
    #[error(
        "Required uniformity of control flow for {0:?} in {1:?} is not fulfilled because of {2:?}"
    )]
    NonUniformControlFlow(
        UniformityRequirements,
        Handle<crate::Expression>,
        UniformityDisruptor,
    ),
    #[error("Functions that are not entry points cannot have `@location` or `@builtin` attributes on their arguments: \"{name}\" has attributes")]
    PipelineInputRegularFunction { name: String },
    #[error("Functions that are not entry points cannot have `@location` or `@builtin` attributes on their return value types")]
    PipelineOutputRegularFunction,
}

bitflags::bitflags! {
    #[repr(transparent)]
    struct ControlFlowAbility: u8 {
        /// The control can return out of this block.
        const RETURN = 0x1;
        /// The control can break.
        const BREAK = 0x2;
        /// The control can continue.
        const CONTINUE = 0x4;
    }
}

#[cfg(feature = "validate")]
struct BlockInfo {
    stages: super::ShaderStages,
    finished: bool,
}

#[cfg(feature = "validate")]
struct BlockContext<'a> {
    abilities: ControlFlowAbility,
    info: &'a FunctionInfo,
    expressions: &'a Arena<crate::Expression>,
    types: &'a UniqueArena<crate::Type>,
    global_vars: &'a Arena<crate::GlobalVariable>,
    functions: &'a Arena<crate::Function>,
    prev_infos: &'a [FunctionInfo],
    return_type: Option<Handle<crate::Type>>,
}

#[cfg(feature = "validate")]
impl<'a> BlockContext<'a> {
    fn new(
        fun: &'a crate::Function,
        module: &'a crate::Module,
        info: &'a FunctionInfo,
        prev_infos: &'a [FunctionInfo],
    ) -> Self {
        Self {
            abilities: ControlFlowAbility::RETURN,
            info,
            expressions: &fun.expressions,
            types: &module.types,
            global_vars: &module.global_variables,
            functions: &module.functions,
            prev_infos,
            return_type: fun.result.as_ref().map(|fr| fr.ty),
        }
    }

    const fn with_abilities(&self, abilities: ControlFlowAbility) -> Self {
        BlockContext { abilities, ..*self }
    }

    fn get_expression(
        &self,
        handle: Handle<crate::Expression>,
    ) -> Result<&'a crate::Expression, FunctionError> {
        Ok(self.expressions.try_get(handle)?)
    }

    fn resolve_type_impl(
        &self,
        handle: Handle<crate::Expression>,
        valid_expressions: &BitSet,
    ) -> Result<&crate::TypeInner, WithSpan<ExpressionError>> {
        if handle.index() >= self.expressions.len() {
            Err(ExpressionError::DoesntExist.with_span())
        } else if !valid_expressions.contains(handle.index()) {
            Err(ExpressionError::NotInScope.with_span_handle(handle, self.expressions))
        } else {
            Ok(self.info[handle].ty.inner_with(self.types))
        }
    }

    fn resolve_type(
        &self,
        handle: Handle<crate::Expression>,
        valid_expressions: &BitSet,
    ) -> Result<&crate::TypeInner, WithSpan<FunctionError>> {
        self.resolve_type_impl(handle, valid_expressions)
            .map_err_inner(|error| FunctionError::Expression { handle, error }.with_span())
    }

    fn resolve_pointer_type(
        &self,
        handle: Handle<crate::Expression>,
    ) -> Result<&crate::TypeInner, FunctionError> {
        if handle.index() >= self.expressions.len() {
            Err(FunctionError::Expression {
                handle,
                error: ExpressionError::DoesntExist,
            })
        } else {
            Ok(self.info[handle].ty.inner_with(self.types))
        }
    }
}

impl super::Validator {
    #[cfg(feature = "validate")]
    fn validate_call(
        &mut self,
        function: Handle<crate::Function>,
        arguments: &[Handle<crate::Expression>],
        result: Option<Handle<crate::Expression>>,
        context: &BlockContext,
    ) -> Result<super::ShaderStages, WithSpan<CallError>> {
        let fun = context
            .functions
            .try_get(function)
            .map_err(CallError::BadHandle)
            .map_err(WithSpan::new)?;
        if fun.arguments.len() != arguments.len() {
            return Err(CallError::ArgumentCount {
                required: fun.arguments.len(),
                seen: arguments.len(),
            }
            .with_span());
        }
        for (index, (arg, &expr)) in fun.arguments.iter().zip(arguments).enumerate() {
            let ty = context
                .resolve_type_impl(expr, &self.valid_expression_set)
                .map_err_inner(|error| {
                    CallError::Argument { index, error }.with_span_handle(expr, context.expressions)
                })?;
            let arg_inner = &context.types[arg.ty].inner;
            if !ty.equivalent(arg_inner, context.types) {
                return Err(CallError::ArgumentType {
                    index,
                    required: arg.ty,
                    seen_expression: expr,
                }
                .with_span_handle(expr, context.expressions));
            }
        }

        if let Some(expr) = result {
            if self.valid_expression_set.insert(expr.index()) {
                self.valid_expression_list.push(expr);
            } else {
                return Err(CallError::ResultAlreadyInScope(expr)
                    .with_span_handle(expr, context.expressions));
            }
            match context.expressions[expr] {
                crate::Expression::CallResult(callee)
                    if fun.result.is_some() && callee == function => {}
                _ => {
                    return Err(CallError::ExpressionMismatch(result)
                        .with_span_handle(expr, context.expressions))
                }
            }
        } else if fun.result.is_some() {
            return Err(CallError::ExpressionMismatch(result).with_span());
        }

        let callee_info = &context.prev_infos[function.index()];
        Ok(callee_info.available_stages)
    }

    #[cfg(feature = "validate")]
    fn validate_atomic(
        &mut self,
        pointer: Handle<crate::Expression>,
        fun: &crate::AtomicFunction,
        value: Handle<crate::Expression>,
        result: Handle<crate::Expression>,
        context: &BlockContext,
    ) -> Result<(), WithSpan<FunctionError>> {
        let pointer_inner = context.resolve_type(pointer, &self.valid_expression_set)?;
        let (ptr_kind, ptr_width) = match *pointer_inner {
            crate::TypeInner::Pointer { base, .. } => match context.types[base].inner {
                crate::TypeInner::Atomic { kind, width } => (kind, width),
                ref other => {
                    log::error!("Atomic pointer to type {:?}", other);
                    return Err(AtomicError::InvalidPointer(pointer)
                        .with_span_handle(pointer, context.expressions)
                        .into_other());
                }
            },
            ref other => {
                log::error!("Atomic on type {:?}", other);
                return Err(AtomicError::InvalidPointer(pointer)
                    .with_span_handle(pointer, context.expressions)
                    .into_other());
            }
        };

        let value_inner = context.resolve_type(value, &self.valid_expression_set)?;
        match *value_inner {
            crate::TypeInner::Scalar { width, kind } if kind == ptr_kind && width == ptr_width => {}
            ref other => {
                log::error!("Atomic operand type {:?}", other);
                return Err(AtomicError::InvalidOperand(value)
                    .with_span_handle(value, context.expressions)
                    .into_other());
            }
        }

        if let crate::AtomicFunction::Exchange { compare: Some(cmp) } = *fun {
            if context.resolve_type(cmp, &self.valid_expression_set)? != value_inner {
                log::error!("Atomic exchange comparison has a different type from the value");
                return Err(AtomicError::InvalidOperand(cmp)
                    .with_span_handle(cmp, context.expressions)
                    .into_other());
            }
        }

        if self.valid_expression_set.insert(result.index()) {
            self.valid_expression_list.push(result);
        } else {
            return Err(AtomicError::ResultAlreadyInScope(result)
                .with_span_handle(result, context.expressions)
                .into_other());
        }
        match context.expressions[result] {
            //TODO: support atomic result with comparison
            crate::Expression::AtomicResult {
                kind,
                width,
                // comparison: false,
                ..
            } if kind == ptr_kind && width == ptr_width => {}
            _ => {
                return Err(AtomicError::ResultTypeMismatch(result)
                    .with_span_handle(result, context.expressions)
                    .into_other())
            }
        }
        Ok(())
    }

    #[cfg(feature = "validate")]
    fn validate_block_impl(
        &mut self,
        statements: &crate::Block,
        context: &BlockContext,
    ) -> Result<BlockInfo, WithSpan<FunctionError>> {
        use crate::{Statement as S, TypeInner as Ti};
        let mut finished = false;
        let mut stages = super::ShaderStages::all();
        for (statement, &span) in statements.span_iter() {
            if finished {
                return Err(FunctionError::InstructionsAfterReturn
                    .with_span_static(span, "instructions after return"));
            }
            match *statement {
                S::Emit(ref range) => {
                    for handle in range.clone() {
                        if self.valid_expression_set.insert(handle.index()) {
                            self.valid_expression_list.push(handle);
                        } else {
                            return Err(FunctionError::ExpressionAlreadyInScope(handle)
                                .with_span_handle(handle, context.expressions));
                        }
                    }
                }
                S::Block(ref block) => {
                    let info = self.validate_block(block, context)?;
                    stages &= info.stages;
                    finished = info.finished;
                }
                S::If {
                    condition,
                    ref accept,
                    ref reject,
                } => {
                    match *context.resolve_type(condition, &self.valid_expression_set)? {
                        Ti::Scalar {
                            kind: crate::ScalarKind::Bool,
                            width: _,
                        } => {}
                        _ => {
                            return Err(FunctionError::InvalidIfType(condition)
                                .with_span_handle(condition, context.expressions))
                        }
                    }
                    stages &= self.validate_block(accept, context)?.stages;
                    stages &= self.validate_block(reject, context)?.stages;
                }
                S::Switch {
                    selector,
                    ref cases,
                } => {
                    match *context.resolve_type(selector, &self.valid_expression_set)? {
                        Ti::Scalar {
                            kind: crate::ScalarKind::Uint,
                            width: _,
                        } => {}
                        Ti::Scalar {
                            kind: crate::ScalarKind::Sint,
                            width: _,
                        } => {}
                        _ => {
                            return Err(FunctionError::InvalidSwitchType(selector)
                                .with_span_handle(selector, context.expressions))
                        }
                    }
                    self.select_cases.clear();
                    let mut default = false;
                    for case in cases {
                        match case.value {
                            crate::SwitchValue::Integer(value) => {
                                if !self.select_cases.insert(value) {
                                    return Err(FunctionError::ConflictingSwitchCase(value)
                                        .with_span_static(
                                            case.body
                                                .span_iter()
                                                .next()
                                                .map_or(Default::default(), |(_, s)| *s),
                                            "conflicting switch arm here",
                                        ));
                                }
                            }
                            crate::SwitchValue::Default => {
                                if default {
                                    return Err(FunctionError::MultipleDefaultCases
                                        .with_span_static(
                                            case.body
                                                .span_iter()
                                                .next()
                                                .map_or(Default::default(), |(_, s)| *s),
                                            "duplicated switch arm here",
                                        ));
                                }
                                default = true
                            }
                        }
                    }
                    if !default {
                        return Err(FunctionError::MissingDefaultCase
                            .with_span_static(span, "missing default case"));
                    }
                    if let Some(case) = cases.last() {
                        if case.fall_through {
                            return Err(FunctionError::LastCaseFallTrough.with_span_static(
                                case.body
                                    .span_iter()
                                    .next()
                                    .map_or(Default::default(), |(_, s)| *s),
                                "bad switch arm here",
                            ));
                        }
                    }
                    let pass_through_abilities = context.abilities
                        & (ControlFlowAbility::RETURN | ControlFlowAbility::CONTINUE);
                    let sub_context =
                        context.with_abilities(pass_through_abilities | ControlFlowAbility::BREAK);
                    for case in cases {
                        stages &= self.validate_block(&case.body, &sub_context)?.stages;
                    }
                }
                S::Loop {
                    ref body,
                    ref continuing,
                    break_if,
                } => {
                    // special handling for block scoping is needed here,
                    // because the continuing{} block inherits the scope
                    let base_expression_count = self.valid_expression_list.len();
                    let pass_through_abilities = context.abilities & ControlFlowAbility::RETURN;
                    stages &= self
                        .validate_block_impl(
                            body,
                            &context.with_abilities(
                                pass_through_abilities
                                    | ControlFlowAbility::BREAK
                                    | ControlFlowAbility::CONTINUE,
                            ),
                        )?
                        .stages;
                    stages &= self
                        .validate_block_impl(
                            continuing,
                            &context.with_abilities(ControlFlowAbility::empty()),
                        )?
                        .stages;

                    if let Some(condition) = break_if {
                        match *context.resolve_type(condition, &self.valid_expression_set)? {
                            Ti::Scalar {
                                kind: crate::ScalarKind::Bool,
                                width: _,
                            } => {}
                            _ => {
                                return Err(FunctionError::InvalidIfType(condition)
                                    .with_span_handle(condition, context.expressions))
                            }
                        }
                    }

                    for handle in self.valid_expression_list.drain(base_expression_count..) {
                        self.valid_expression_set.remove(handle.index());
                    }
                }
                S::Break => {
                    if !context.abilities.contains(ControlFlowAbility::BREAK) {
                        return Err(FunctionError::BreakOutsideOfLoopOrSwitch
                            .with_span_static(span, "invalid break"));
                    }
                    finished = true;
                }
                S::Continue => {
                    if !context.abilities.contains(ControlFlowAbility::CONTINUE) {
                        return Err(FunctionError::ContinueOutsideOfLoop
                            .with_span_static(span, "invalid continue"));
                    }
                    finished = true;
                }
                S::Return { value } => {
                    if !context.abilities.contains(ControlFlowAbility::RETURN) {
                        return Err(FunctionError::InvalidReturnSpot
                            .with_span_static(span, "invalid return"));
                    }
                    let value_ty = value
                        .map(|expr| context.resolve_type(expr, &self.valid_expression_set))
                        .transpose()?;
                    let expected_ty = context.return_type.map(|ty| &context.types[ty].inner);
                    // We can't return pointers, but it seems best not to embed that
                    // assumption here, so use `TypeInner::equivalent` for comparison.
                    let okay = match (value_ty, expected_ty) {
                        (None, None) => true,
                        (Some(value_inner), Some(expected_inner)) => {
                            value_inner.equivalent(expected_inner, context.types)
                        }
                        (_, _) => false,
                    };

                    if !okay {
                        log::error!(
                            "Returning {:?} where {:?} is expected",
                            value_ty,
                            expected_ty
                        );
                        if let Some(handle) = value {
                            return Err(FunctionError::InvalidReturnType(value)
                                .with_span_handle(handle, context.expressions));
                        } else {
                            return Err(FunctionError::InvalidReturnType(value)
                                .with_span_static(span, "invalid return"));
                        }
                    }
                    finished = true;
                }
                S::Kill => {
                    finished = true;
                }
                S::Barrier(_) => {
                    stages &= super::ShaderStages::COMPUTE;
                }
                S::Store { pointer, value } => {
                    let mut current = pointer;
                    loop {
                        let _ = context
                            .resolve_pointer_type(current)
                            .map_err(|e| e.with_span())?;
                        match context.expressions[current] {
                            crate::Expression::Access { base, .. }
                            | crate::Expression::AccessIndex { base, .. } => current = base,
                            crate::Expression::LocalVariable(_)
                            | crate::Expression::GlobalVariable(_)
                            | crate::Expression::FunctionArgument(_) => break,
                            _ => {
                                return Err(FunctionError::InvalidStorePointer(current)
                                    .with_span_handle(pointer, context.expressions))
                            }
                        }
                    }

                    let value_ty = context.resolve_type(value, &self.valid_expression_set)?;
                    match *value_ty {
                        Ti::Image { .. } | Ti::Sampler { .. } => {
                            return Err(FunctionError::InvalidStoreValue(value)
                                .with_span_handle(value, context.expressions));
                        }
                        _ => {}
                    }

                    let pointer_ty = context
                        .resolve_pointer_type(pointer)
                        .map_err(|e| e.with_span())?;

                    let good = match *pointer_ty {
                        Ti::Pointer { base, space: _ } => match context.types[base].inner {
                            Ti::Atomic { kind, width } => *value_ty == Ti::Scalar { kind, width },
                            ref other => value_ty == other,
                        },
                        Ti::ValuePointer {
                            size: Some(size),
                            kind,
                            width,
                            space: _,
                        } => *value_ty == Ti::Vector { size, kind, width },
                        Ti::ValuePointer {
                            size: None,
                            kind,
                            width,
                            space: _,
                        } => *value_ty == Ti::Scalar { kind, width },
                        _ => false,
                    };
                    if !good {
                        if let Ti::Pointer { base, .. } = *pointer_ty {
                            println!("{:?}", context.types[base].inner);
                            println!("{:?}", value_ty);
                        }

                        return Err(FunctionError::InvalidStoreTypes { pointer, value }
                            .with_span()
                            .with_handle(pointer, context.expressions)
                            .with_handle(value, context.expressions));
                    }

                    if let Some(space) = pointer_ty.pointer_space() {
                        if !space.access().contains(crate::StorageAccess::STORE) {
                            return Err(FunctionError::InvalidStorePointer(pointer)
                                .with_span_static(
                                    context.expressions.get_span(pointer),
                                    "writing to this location is not permitted",
                                ));
                        }
                    }
                }
                S::ImageStore {
                    image,
                    coordinate,
                    array_index,
                    value,
                } => {
                    //Note: this code uses a lot of `FunctionError::InvalidImageStore`,
                    // and could probably be refactored.
                    let var = match *context.get_expression(image).map_err(|e| e.with_span())? {
                        crate::Expression::GlobalVariable(var_handle) => {
                            &context.global_vars[var_handle]
                        }
                        // We're looking at a binding index situation, so punch through the index and look at the global behind it.
                        crate::Expression::Access { base, .. }
                        | crate::Expression::AccessIndex { base, .. } => {
                            match *context.get_expression(base).map_err(|e| e.with_span())? {
                                crate::Expression::GlobalVariable(var_handle) => {
                                    &context.global_vars[var_handle]
                                }
                                _ => {
                                    return Err(FunctionError::InvalidImageStore(
                                        ExpressionError::ExpectedGlobalVariable,
                                    )
                                    .with_span_handle(image, context.expressions))
                                }
                            }
                        }
                        _ => {
                            return Err(FunctionError::InvalidImageStore(
                                ExpressionError::ExpectedGlobalVariable,
                            )
                            .with_span_handle(image, context.expressions))
                        }
                    };

                    // Punch through a binding array to get the underlying type
                    let global_ty = match context.types[var.ty].inner {
                        Ti::BindingArray { base, .. } => &context.types[base].inner,
                        ref inner => inner,
                    };

                    let value_ty = match *global_ty {
                        Ti::Image {
                            class,
                            arrayed,
                            dim,
                        } => {
                            match context
                                .resolve_type(coordinate, &self.valid_expression_set)?
                                .image_storage_coordinates()
                            {
                                Some(coord_dim) if coord_dim == dim => {}
                                _ => {
                                    return Err(FunctionError::InvalidImageStore(
                                        ExpressionError::InvalidImageCoordinateType(
                                            dim, coordinate,
                                        ),
                                    )
                                    .with_span_handle(coordinate, context.expressions));
                                }
                            };
                            if arrayed != array_index.is_some() {
                                return Err(FunctionError::InvalidImageStore(
                                    ExpressionError::InvalidImageArrayIndex,
                                )
                                .with_span_handle(coordinate, context.expressions));
                            }
                            if let Some(expr) = array_index {
                                match *context.resolve_type(expr, &self.valid_expression_set)? {
                                    Ti::Scalar {
                                        kind: crate::ScalarKind::Sint,
                                        width: _,
                                    } => {}
                                    _ => {
                                        return Err(FunctionError::InvalidImageStore(
                                            ExpressionError::InvalidImageArrayIndexType(expr),
                                        )
                                        .with_span_handle(expr, context.expressions));
                                    }
                                }
                            }
                            match class {
                                crate::ImageClass::Storage { format, .. } => {
                                    crate::TypeInner::Vector {
                                        kind: format.into(),
                                        size: crate::VectorSize::Quad,
                                        width: 4,
                                    }
                                }
                                _ => {
                                    return Err(FunctionError::InvalidImageStore(
                                        ExpressionError::InvalidImageClass(class),
                                    )
                                    .with_span_handle(image, context.expressions));
                                }
                            }
                        }
                        _ => {
                            return Err(FunctionError::InvalidImageStore(
                                ExpressionError::ExpectedImageType(var.ty),
                            )
                            .with_span()
                            .with_handle(var.ty, context.types)
                            .with_handle(image, context.expressions))
                        }
                    };

                    if *context.resolve_type(value, &self.valid_expression_set)? != value_ty {
                        return Err(FunctionError::InvalidStoreValue(value)
                            .with_span_handle(value, context.expressions));
                    }
                }
                S::Call {
                    function,
                    ref arguments,
                    result,
                } => match self.validate_call(function, arguments, result, context) {
                    Ok(callee_stages) => stages &= callee_stages,
                    Err(error) => {
                        return Err(error.and_then(|error| {
                            FunctionError::InvalidCall { function, error }
                                .with_span_static(span, "invalid function call")
                        }))
                    }
                },
                S::Atomic {
                    pointer,
                    ref fun,
                    value,
                    result,
                } => {
                    self.validate_atomic(pointer, fun, value, result, context)?;
                }
            }
        }
        Ok(BlockInfo { stages, finished })
    }

    #[cfg(feature = "validate")]
    fn validate_block(
        &mut self,
        statements: &crate::Block,
        context: &BlockContext,
    ) -> Result<BlockInfo, WithSpan<FunctionError>> {
        let base_expression_count = self.valid_expression_list.len();
        let info = self.validate_block_impl(statements, context)?;
        for handle in self.valid_expression_list.drain(base_expression_count..) {
            self.valid_expression_set.remove(handle.index());
        }
        Ok(info)
    }

    #[cfg(feature = "validate")]
    fn validate_local_var(
        &self,
        var: &crate::LocalVariable,
        types: &UniqueArena<crate::Type>,
        constants: &Arena<crate::Constant>,
    ) -> Result<(), LocalVariableError> {
        log::debug!("var {:?}", var);
        let type_info = self
            .types
            .get(var.ty.index())
            .ok_or(LocalVariableError::InvalidType(var.ty))?;
        if !type_info
            .flags
            .contains(super::TypeFlags::DATA | super::TypeFlags::SIZED)
        {
            return Err(LocalVariableError::InvalidType(var.ty));
        }

        if let Some(const_handle) = var.init {
            match constants[const_handle].inner {
                crate::ConstantInner::Scalar { width, ref value } => {
                    let ty_inner = crate::TypeInner::Scalar {
                        width,
                        kind: value.scalar_kind(),
                    };
                    if types[var.ty].inner != ty_inner {
                        return Err(LocalVariableError::InitializerType);
                    }
                }
                crate::ConstantInner::Composite { ty, components: _ } => {
                    if ty != var.ty {
                        return Err(LocalVariableError::InitializerType);
                    }
                }
            }
        }
        Ok(())
    }

    pub(super) fn validate_function(
        &mut self,
        fun: &crate::Function,
        module: &crate::Module,
        mod_info: &ModuleInfo,
        #[cfg_attr(not(feature = "validate"), allow(unused))] entry_point: bool,
    ) -> Result<FunctionInfo, WithSpan<FunctionError>> {
        #[cfg_attr(not(feature = "validate"), allow(unused_mut))]
        let mut info = mod_info.process_function(fun, module, self.flags, self.capabilities)?;

        #[cfg(feature = "validate")]
        for (var_handle, var) in fun.local_variables.iter() {
            self.validate_local_var(var, &module.types, &module.constants)
                .map_err(|error| {
                    FunctionError::LocalVariable {
                        handle: var_handle,
                        name: var.name.clone().unwrap_or_default(),
                        error,
                    }
                    .with_span_handle(var.ty, &module.types)
                    .with_handle(var_handle, &fun.local_variables)
                })?;
        }

        #[cfg(feature = "validate")]
        for (index, argument) in fun.arguments.iter().enumerate() {
            let ty = module.types.get_handle(argument.ty).map_err(|err| {
                FunctionError::from(err).with_span_handle(argument.ty, &module.types)
            })?;
            match ty.inner.pointer_space() {
                Some(
                    crate::AddressSpace::Private
                    | crate::AddressSpace::Function
                    | crate::AddressSpace::WorkGroup,
                )
                | None => {}
                Some(other) => {
                    return Err(FunctionError::InvalidArgumentPointerSpace {
                        index,
                        name: argument.name.clone().unwrap_or_default(),
                        space: other,
                    }
                    .with_span_handle(argument.ty, &module.types))
                }
            }
            // Check for the least informative error last.
            if !self.types[argument.ty.index()]
                .flags
                .contains(super::TypeFlags::ARGUMENT)
            {
                return Err(FunctionError::InvalidArgumentType {
                    index,
                    name: argument.name.clone().unwrap_or_default(),
                }
                .with_span_handle(argument.ty, &module.types));
            }

            if !entry_point && argument.binding.is_some() {
                return Err(FunctionError::PipelineInputRegularFunction {
                    name: argument.name.clone().unwrap_or_default(),
                }
                .with_span_handle(argument.ty, &module.types));
            }
        }

        #[cfg(feature = "validate")]
        if let Some(ref result) = fun.result {
            if !self.types[result.ty.index()]
                .flags
                .contains(super::TypeFlags::CONSTRUCTIBLE)
            {
                return Err(FunctionError::NonConstructibleReturnType
                    .with_span_handle(result.ty, &module.types));
            }

            if !entry_point && result.binding.is_some() {
                return Err(FunctionError::PipelineOutputRegularFunction
                    .with_span_handle(result.ty, &module.types));
            }
        }

        self.valid_expression_set.clear();
        self.valid_expression_list.clear();
        for (handle, expr) in fun.expressions.iter() {
            if expr.needs_pre_emit() {
                self.valid_expression_set.insert(handle.index());
            }
            #[cfg(feature = "validate")]
            if self.flags.contains(super::ValidationFlags::EXPRESSIONS) {
                match self.validate_expression(
                    handle,
                    expr,
                    fun,
                    module,
                    &info,
                    &mod_info.functions,
                ) {
                    Ok(stages) => info.available_stages &= stages,
                    Err(error) => {
                        return Err(FunctionError::Expression { handle, error }
                            .with_span_handle(handle, &fun.expressions))
                    }
                }
            }
        }

        #[cfg(feature = "validate")]
        if self.flags.contains(super::ValidationFlags::BLOCKS) {
            let stages = self
                .validate_block(
                    &fun.body,
                    &BlockContext::new(fun, module, &info, &mod_info.functions),
                )?
                .stages;
            info.available_stages &= stages;
        }
        Ok(info)
    }
}


================================================
FILE: lib/naga/src/valid/interface.rs
================================================
use super::{
    analyzer::{FunctionInfo, GlobalUse},
    Capabilities, Disalignment, FunctionError, ModuleInfo,
};
use crate::arena::{BadHandle, Handle, UniqueArena};

use crate::span::{AddSpan as _, MapErrWithSpan as _, SpanProvider as _, WithSpan};
use bit_set::BitSet;

#[cfg(feature = "validate")]
const MAX_WORKGROUP_SIZE: u32 = 0x4000;

#[derive(Clone, Debug, thiserror::Error)]
pub enum GlobalVariableError {
    #[error(transparent)]
    BadHandle(#[from] BadHandle),
    #[error("Usage isn't compatible with address space {0:?}")]
    InvalidUsage(crate::AddressSpace),
    #[error("Type isn't compatible with address space {0:?}")]
    InvalidType(crate::AddressSpace),
    #[error("Type flags {seen:?} do not meet the required {required:?}")]
    MissingTypeFlags {
        required: super::TypeFlags,
        seen: super::TypeFlags,
    },
    #[error("Capability {0:?} is not supported")]
    UnsupportedCapability(Capabilities),
    #[error("Binding decoration is missing or not applicable")]
    InvalidBinding,
    #[error("Alignment requirements for address space {0:?} are not met by {1:?}")]
    Alignment(
        crate::AddressSpace,
        Handle<crate::Type>,
        #[source] Disalignment,
    ),
}

#[derive(Clone, Debug, thiserror::Error)]
pub enum VaryingError {
    #[error("The type {0:?} does not match the varying")]
    InvalidType(Handle<crate::Type>),
    #[error("The type {0:?} cannot be used for user-defined entry point inputs or outputs")]
    NotIOShareableType(Handle<crate::Type>),
    #[error("Interpolation is not valid")]
    InvalidInterpolation,
    #[error("Interpolation must be specified on vertex shader outputs and fragment shader inputs")]
    MissingInterpolation,
    #[error("Built-in {0:?} is not available at this stage")]
    InvalidBuiltInStage(crate::BuiltIn),
    #[error("Built-in type for {0:?} is invalid")]
    InvalidBuiltInType(crate::BuiltIn),
    #[error("Entry point arguments and return values must all have bindings")]
    MissingBinding,
    #[error("Struct member {0} is missing a binding")]
    MemberMissingBinding(u32),
    #[error("Multiple bindings at location {location} are present")]
    BindingCollision { location: u32 },
    #[error("Built-in {0:?} is present more than once")]
    DuplicateBuiltIn(crate::BuiltIn),
    #[error("Capability {0:?} is not supported")]
    UnsupportedCapability(Capabilities),
}

#[derive(Clone, Debug, thiserror::Error)]
pub enum EntryPointError {
    #[error("Multiple conflicting entry points")]
    Conflict,
    #[error("Early depth test is not applicable")]
    UnexpectedEarlyDepthTest,
    #[error("Workgroup size is not applicable")]
    UnexpectedWorkgroupSize,
    #[error("Workgroup size is out of range")]
    OutOfRangeWorkgroupSize,
    #[error("Uses operations forbidden at this stage")]
    ForbiddenStageOperations,
    #[error("Global variable {0:?} is used incorrectly as {1:?}")]
    InvalidGlobalUsage(Handle<crate::GlobalVariable>, GlobalUse),
    #[error("Bindings for {0:?} conflict with other resource")]
    BindingCollision(Handle<crate::GlobalVariable>),
    #[error("Argument {0} varying error")]
    Argument(u32, #[source] VaryingError),
    #[error(transparent)]
    Result(#[from] VaryingError),
    #[error("Location {location} interpolation of an integer has to be flat")]
    InvalidIntegerInterpolation { location: u32 },
    #[error(transparent)]
    Function(#[from] FunctionError),
}

#[cfg(feature = "validate")]
fn storage_usage(access: crate::StorageAccess) -> GlobalUse {
    let mut storage_usage = GlobalUse::QUERY;
    if access.contains(crate::StorageAccess::LOAD) {
        storage_usage |= GlobalUse::READ;
    }
    if access.contains(crate::StorageAccess::STORE) {
        storage_usage |= GlobalUse::WRITE;
    }
    storage_usage
}

struct VaryingContext<'a> {
    stage: crate::ShaderStage,
    output: bool,
    types: &'a UniqueArena<crate::Type>,
    type_info: &'a Vec<super::r#type::TypeInfo>,
    location_mask: &'a mut BitSet,
    built_ins: &'a mut crate::FastHashSet<crate::BuiltIn>,
    capabilities: Capabilities,
}

impl VaryingContext<'_> {
    fn validate_impl(
        &mut self,
        ty: Handle<crate::Type>,
        binding: &crate::Binding,
    ) -> Result<(), VaryingError> {
        use crate::{
            BuiltIn as Bi, ScalarKind as Sk, ShaderStage as St, TypeInner as Ti, VectorSize as Vs,
        };

        let ty_inner = &self.types[ty].inner;
        match *binding {
            crate::Binding::BuiltIn(built_in) => {
                // Ignore the `invariant` field for the sake of duplicate checks,
                // but use the original in error messages.
                let canonical = if let crate::BuiltIn::Position { .. } = built_in {
                    crate::BuiltIn::Position { invariant: false }
                } else {
                    built_in
                };

                if self.built_ins.contains(&canonical) {
                    return Err(VaryingError::DuplicateBuiltIn(built_in));
                }
                self.built_ins.insert(canonical);

                let required = match built_in {
                    Bi::ClipDistance => Capabilities::CLIP_DISTANCE,
                    Bi::CullDistance => Capabilities::CULL_DISTANCE,
                    Bi::PrimitiveIndex => Capabilities::PRIMITIVE_INDEX,
                    _ => Capabilities::empty(),
                };
                if !self.capabilities.contains(required) {
                    return Err(VaryingError::UnsupportedCapability(required));
                }

                let width = 4;
                let (visible, type_good) = match built_in {
                    Bi::BaseInstance | Bi::BaseVertex | Bi::InstanceIndex | Bi::VertexIndex => (
                        self.stage == St::Vertex && !self.output,
                        *ty_inner
                            == Ti::Scalar {
                                kind: Sk::Uint,
                                width,
                            },
                    ),
                    Bi::ClipDistance | Bi::CullDistance => (
                        self.stage == St::Vertex && self.output,
                        match *ty_inner {
                            Ti::Array { base, .. } => {
                                self.types[base].inner
                                    == Ti::Scalar {
                                        kind: Sk::Float,
                                        width,
                                    }
                            }
                            _ => false,
                        },
                    ),
                    Bi::PointSize => (
                        self.stage == St::Vertex && self.output,
                        *ty_inner
                            == Ti::Scalar {
                                kind: Sk::Float,
                                width,
                            },
                    ),
                    Bi::Position { .. } => (
                        match self.stage {
                            St::Vertex => self.output,
                            St::Fragment => !self.output,
                            St::Compute => false,
                        },
                        *ty_inner
                            == Ti::Vector {
                                size: Vs::Quad,
                                kind: Sk::Float,
                                width,
                            },
                    ),
                    Bi::ViewIndex => (
                        match self.stage {
                            St::Vertex | St::Fragment => !self.output,
                            St::Compute => false,
                        },
                        *ty_inner
                            == Ti::Scalar {
                                kind: Sk::Sint,
                                width,
                            },
                    ),
                    Bi::FragDepth => (
                        self.stage == St::Fragment && self.output,
                        *ty_inner
                            == Ti::Scalar {
                                kind: Sk::Float,
                                width,
                            },
                    ),
                    Bi::FrontFacing => (
                        self.stage == St::Fragment && !self.output,
                        *ty_inner
                            == Ti::Scalar {
                                kind: Sk::Bool,
                                width: crate::BOOL_WIDTH,
                            },
                    ),
                    Bi::PrimitiveIndex => (
                        self.stage == St::Fragment && !self.output,
                        *ty_inner
                            == Ti::Scalar {
                                kind: Sk::Uint,
                                width,
                            },
                    ),
                    Bi::SampleIndex => (
                        self.stage == St::Fragment && !self.output,
                        *ty_inner
                            == Ti::Scalar {
                                kind: Sk::Uint,
                                width,
                            },
                    ),
                    Bi::SampleMask => (
                        self.stage == St::Fragment,
                        *ty_inner
                            == Ti::Scalar {
                                kind: Sk::Uint,
                                width,
                            },
                    ),
                    Bi::LocalInvocationIndex => (
                        self.stage == St::Compute && !self.output,
                        *ty_inner
                            == Ti::Scalar {
                                kind: Sk::Uint,
                                width,
                            },
                    ),
                    Bi::GlobalInvocationId
                    | Bi::LocalInvocationId
                    | Bi::WorkGroupId
                    | Bi::WorkGroupSize
                    | Bi::NumWorkGroups => (
                        self.stage == St::Compute && !self.output,
                        *ty_inner
                            == Ti::Vector {
                                size: Vs::Tri,
                                kind: Sk::Uint,
                                width,
                            },
                    ),
                };

                if !visible {
                    return Err(VaryingError::InvalidBuiltInStage(built_in));
                }
                if !type_good {
                    log::warn!("Wrong builtin type: {:?}", ty_inner);
                    return Err(VaryingError::InvalidBuiltInType(built_in));
                }
            }
            crate::Binding::Location {
                location,
                interpolation,
                sampling,
            } => {
                // Only IO-shareable types may be stored in locations.
                if !self.type_info[ty.index()]
                    .flags
                    .contains(super::TypeFlags::IO_SHAREABLE)
                {
                    return Err(VaryingError::NotIOShareableType(ty));
                }
                if !self.location_mask.insert(location as usize) {
                    return Err(VaryingError::BindingCollision { location });
                }

                let needs_interpolation = match self.stage {
                    crate::ShaderStage::Vertex => self.output,
                    crate::ShaderStage::Fragment => !self.output,
                    _ => false,
                };

                // It doesn't make sense to specify a sampling when `interpolation` is `Flat`, but
                // SPIR-V and GLSL both explicitly tolerate such combinations of decorators /
                // qualifiers, so we won't complain about that here.
                let _ = sampling;

                match ty_inner.scalar_kind() {
                    Some(crate::ScalarKind::Float) => {
                        if needs_interpolation && interpolation.is_none() {
                            return Err(VaryingError::MissingInterpolation);
                        }
                    }
                    Some(_) => {
                        if needs_interpolation && interpolation != Some(crate::Interpolation::Flat)
                        {
                            return Err(VaryingError::InvalidInterpolation);
                        }
                    }
                    None => return Err(VaryingError::InvalidType(ty)),
                }
            }
        }

        Ok(())
    }

    fn validate(
        &mut self,
        ty: Handle<crate::Type>,
        binding: Option<&crate::Binding>,
    ) -> Result<(), WithSpan<VaryingError>> {
        let span_context = self.types.get_span_context(ty);
        match binding {
            Some(binding) => self
                .validate_impl(ty, binding)
                .map_err(|e| e.with_span_context(span_context)),
            None => {
                match self.types[ty].inner {
                    //TODO: check the member types
                    crate::TypeInner::Struct { ref members, .. } => {
                        for (index, member) in members.iter().enumerate() {
                            let span_context = self.types.get_span_context(ty);
                            match member.binding {
                                None => {
                                    return Err(VaryingError::MemberMissingBinding(index as u32)
                                        .with_span_context(span_context))
                                }
                                // TODO: shouldn't this be validate?
                                Some(ref binding) => self
                                    .validate_impl(member.ty, binding)
                                    .map_err(|e| e.with_span_context(span_context))?,
                            }
                        }
                    }
                    _ => return Err(VaryingError::MissingBinding.with_span()),
                }
                Ok(())
            }
        }
    }
}

impl super::Validator {
    #[cfg(feature = "validate")]
    pub(super) fn validate_global_var(
        &self,
        var: &crate::GlobalVariable,
        types: &UniqueArena<crate::Type>,
    ) -> Result<(), GlobalVariableError> {
        use super::TypeFlags;

        log::debug!("var {:?}", var);
        let type_info = self.types.get(var.ty.index()).ok_or_else(|| BadHandle {
            kind: "type",
            index: var.ty.index(),
        })?;

        let (required_type_flags, is_resource) = match var.space {
            crate::AddressSpace::Function => {
                return Err(GlobalVariableError::InvalidUsage(var.space))
            }
            crate::AddressSpace::Storage { .. } => {
                if let Err((ty_handle, disalignment)) = type_info.storage_layout {
                    if self.flags.contains(super::ValidationFlags::STRUCT_LAYOUTS) {
                        return Err(GlobalVariableError::Alignment(
                            var.space,
                            ty_handle,
                            disalignment,
                        ));
                    }
                }
                (TypeFlags::DATA | TypeFlags::HOST_SHAREABLE, true)
            }
            crate::AddressSpace::Uniform => {
                if let Err((ty_handle, disalignment)) = type_info.uniform_layout {
                    if self.flags.contains(super::ValidationFlags::STRUCT_LAYOUTS) {
                        return Err(GlobalVariableError::Alignment(
                            var.space,
                            ty_handle,
                            disalignment,
                        ));
                    }
                }
                (
                    TypeFlags::DATA
                        | TypeFlags::COPY
                        | TypeFlags::SIZED
                        | TypeFlags::HOST_SHAREABLE,
                    true,
                )
            }
            crate::AddressSpace::Handle => {
                match types[var.ty].inner {
                    crate::TypeInner::Image { .. }
                    | crate::TypeInner::Sampler { .. }
                    | crate::TypeInner::BindingArray { .. } => {}
                    _ => {
                        return Err(GlobalVariableError::InvalidType(var.space));
                    }
                };
                (TypeFlags::empty(), true)
            }
            crate::AddressSpace::Private | crate::AddressSpace::WorkGroup => {
                (TypeFlags::DATA | TypeFlags::SIZED, false)
            }
            crate::AddressSpace::PushConstant => {
                if !self.capabilities.contains(Capabilities::PUSH_CONSTANT) {
                    return Err(GlobalVariableError::UnsupportedCapability(
                        Capabilities::PUSH_CONSTANT,
                    ));
                }
                (
                    TypeFlags::DATA
                        | TypeFlags::COPY
                        | TypeFlags::HOST_SHAREABLE
                        | TypeFlags::SIZED,
                    false,
                )
            }
        };

        if !type_info.flags.contains(required_type_flags) {
            return Err(GlobalVariableError::MissingTypeFlags {
                seen: type_info.flags,
                required: required_type_flags,
            });
        }

        if is_resource != var.binding.is_some() {
            return Err(GlobalVariableError::InvalidBinding);
        }

        Ok(())
    }

    pub(super) fn validate_entry_point(
        &mut self,
        ep: &crate::EntryPoint,
        module: &crate::Module,
        mod_info: &ModuleInfo,
    ) -> Result<FunctionInfo, WithSpan<EntryPointError>> {
        #[cfg(feature = "validate")]
        if ep.early_depth_test.is_some() && ep.stage != crate::ShaderStage::Fragment {
            return Err(EntryPointError::UnexpectedEarlyDepthTest.with_span());
        }

        #[cfg(feature = "validate")]
        if ep.stage == crate::ShaderStage::Compute {
            if ep
                .workgroup_size
                .iter()
                .any(|&s| s == 0 || s > MAX_WORKGROUP_SIZE)
            {
                return Err(EntryPointError::OutOfRangeWorkgroupSize.with_span());
            }
        } else if ep.workgroup_size != [0; 3] {
            return Err(EntryPointError::UnexpectedWorkgroupSize.with_span());
        }

        let info = self
            .validate_function(&ep.function, module, mod_info, true)
            .map_err(WithSpan::into_other)?;

        #[cfg(feature = "validate")]
        {
            use super::ShaderStages;

            let stage_bit = match ep.stage {
                crate::ShaderStage::Vertex => ShaderStages::VERTEX,
                crate::ShaderStage::Fragment => ShaderStages::FRAGMENT,
                crate::ShaderStage::Compute => ShaderStages::COMPUTE,
            };

            if !info.available_stages.contains(stage_bit) {
                return Err(EntryPointError::ForbiddenStageOperations.with_span());
            }
        }

        self.location_mask.clear();
        let mut argument_built_ins = crate::FastHashSet::default();
        // TODO: add span info to function arguments
        for (index, fa) in ep.function.arguments.iter().enumerate() {
            let mut ctx = VaryingContext {
                stage: ep.stage,
                output: false,
                types: &module.types,
                type_info: &self.types,
                location_mask: &mut self.location_mask,
                built_ins: &mut argument_built_ins,
                capabilities: self.capabilities,
            };
            ctx.validate(fa.ty, fa.binding.as_ref())
                .map_err_inner(|e| EntryPointError::Argument(index as u32, e).with_span())?;
        }

        self.location_mask.clear();
        if let Some(ref fr) = ep.function.result {
            let mut result_built_ins = crate::FastHashSet::default();
            let mut ctx = VaryingContext {
                stage: ep.stage,
                output: true,
                types: &module.types,
                type_info: &self.types,
                location_mask: &mut self.location_mask,
                built_ins: &mut result_built_ins,
                capabilities: self.capabilities,
            };
            ctx.validate(fr.ty, fr.binding.as_ref())
                .map_err_inner(|e| EntryPointError::Result(e).with_span())?;
        }

        for bg in self.bind_group_masks.iter_mut() {
            bg.clear();
        }

        #[cfg(feature = "validate")]
        for (var_handle, var) in module.global_variables.iter() {
            let usage = info[var_handle];
            if usage.is_empty() {
                continue;
            }

            let allowed_usage = match var.space {
                crate::AddressSpace::Function => unreachable!(),
                crate::AddressSpace::Uniform => GlobalUse::READ | GlobalUse::QUERY,
                crate::AddressSpace::Storage { access } => storage_usage(access),
                crate::AddressSpace::Handle => match module.types[var.ty].inner {
                    crate::TypeInner::BindingArray { base, .. } => match module.types[base].inner {
                        crate::TypeInner::Image {
                            class: crate::ImageClass::Storage { access, .. },
                            ..
                        } => storage_usage(access),
                        _ => GlobalUse::READ | GlobalUse::QUERY,
                    },
                    crate::TypeInner::Image {
                        class: crate::ImageClass::Storage { access, .. },
                        ..
                    } => storage_usage(access),
                    _ => GlobalUse::READ | GlobalUse::QUERY,
                },
                crate::AddressSpace::Private | crate::AddressSpace::WorkGroup => GlobalUse::all(),
                crate::AddressSpace::PushConstant => GlobalUse::READ,
            };
            if !allowed_usage.contains(usage) {
                log::warn!("\tUsage error for: {:?}", var);
                log::warn!(
                    "\tAllowed usage: {:?}, requested: {:?}",
                    allowed_usage,
                    usage
                );
                return Err(EntryPointError::InvalidGlobalUsage(var_handle, usage)
                    .with_span_handle(var_handle, &module.global_variables));
            }

            if let Some(ref bind) = var.binding {
                while self.bind_group_masks.len() <= bind.group as usize {
                    self.bind_group_masks.push(BitSet::new());
                }
                if !self.bind_group_masks[bind.group as usize].insert(bind.binding as usize) {
                    return Err(EntryPointError::BindingCollision(var_handle)
                        .with_span_handle(var_handle, &module.global_variables));
                }
            }
        }

        Ok(info)
    }
}


================================================
FILE: lib/naga/src/valid/mod.rs
================================================
/*!
Shader validator.
*/

mod analyzer;
mod compose;
mod expression;
mod function;
mod interface;
mod r#type;

#[cfg(feature = "validate")]
use crate::arena::{Arena, UniqueArena};

use crate::{
    arena::{BadHandle, Handle},
    proc::{LayoutError, Layouter},
    FastHashSet,
};
use bit_set::BitSet;
use std::ops;

//TODO: analyze the model at the same time as we validate it,
// merge the corresponding matches over expressions and statements.

use crate::span::{AddSpan as _, WithSpan};
pub use analyzer::{ExpressionInfo, FunctionInfo, GlobalUse, Uniformity, UniformityRequirements};
pub use compose::ComposeError;
pub use expression::ExpressionError;
pub use function::{CallError, FunctionError, LocalVariableError};
pub use interface::{EntryPointError, GlobalVariableError, VaryingError};
pub use r#type::{Disalignment, TypeError, TypeFlags};

bitflags::bitflags! {
    /// Validation flags.
    ///
    /// If you are working with trusted shaders, then you may be able
    /// to save some time by skipping validation.
    ///
    /// If you do not perform full validation, invalid shaders may
    /// cause Naga to panic. If you do perform full validation and
    /// [`Validator::validate`] returns `Ok`, then Naga promises that
    /// code generation will either succeed or return an error; it
    /// should never panic.
    ///
    /// The default value for `ValidationFlags` is
    /// `ValidationFlags::all()`. If Naga's `"validate"` feature is
    /// enabled, this requests full validation; otherwise, this
    /// requests no validation. (The `"validate"` feature is disabled
    /// by default.)
    #[cfg_attr(feature = "serialize", derive(serde::Serialize))]
    #[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
    pub struct ValidationFlags: u8 {
        /// Expressions.
        #[cfg(feature = "validate")]
        const EXPRESSIONS = 0x1;
        /// Statements and blocks of them.
        #[cfg(feature = "validate")]
        const BLOCKS = 0x2;
        /// Uniformity of control flow for operations that require it.
        #[cfg(feature = "validate")]
        const CONTROL_FLOW_UNIFORMITY = 0x4;
        /// Host-shareable structure layouts.
        #[cfg(feature = "validate")]
        const STRUCT_LAYOUTS = 0x8;
        /// Constants.
        #[cfg(feature = "validate")]
        const CONSTANTS = 0x10;
    }
}

impl Default for ValidationFlags {
    fn default() -> Self {
        Self::all()
    }
}

bitflags::bitflags! {
    /// Allowed IR capabilities.
    #[must_use]
    #[derive(Default)]
    #[cfg_attr(feature = "serialize", derive(serde::Serialize))]
    #[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
    pub struct Capabilities: u8 {
        /// Support for [`AddressSpace:PushConstant`].
        const PUSH_CONSTANT = 0x1;
        /// Float values with width = 8.
        const FLOAT64 = 0x2;
        /// Support for [`Builtin:PrimitiveIndex`].
        const PRIMITIVE_INDEX = 0x4;
        /// Support for non-uniform indexing of sampled textures and storage buffer arrays.
        const SAMPLED_TEXTURE_AND_STORAGE_BUFFER_ARRAY_NON_UNIFORM_INDEXING = 0x8;
        /// Support for non-uniform indexing of uniform buffers and storage texture arrays.
        const UNIFORM_BUFFER_AND_STORAGE_TEXTURE_ARRAY_NON_UNIFORM_INDEXING = 0x10;
        /// Support for non-uniform indexing of samplers.
        const SAMPLER_NON_UNIFORM_INDEXING = 0x20;
        /// Support for [`Builtin::ClipDistance`].
        const CLIP_DISTANCE = 0x40;
        /// Support for [`Builtin::CullDistance`].
        const CULL_DISTANCE = 0x80;
    }
}

bitflags::bitflags! {
    /// Validation flags.
    #[cfg_attr(feature = "serialize", derive(serde::Serialize))]
    #[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
    pub struct ShaderStages: u8 {
        const VERTEX = 0x1;
        const FRAGMENT = 0x2;
        const COMPUTE = 0x4;
    }
}

#[derive(Debug)]
#[cfg_attr(feature = "serialize", derive(serde::Serialize))]
#[cfg_attr(feature = "deserialize", derive(serde::Deserialize))]
pub struct ModuleInfo {
    functions: Vec<FunctionInfo>,
    entry_points: Vec<FunctionInfo>,
}

impl ops::Index<Handle<crate::Function>> for ModuleInfo {
    type Output = FunctionInfo;
    fn index(&self, handle: Handle<crate::Function>) -> &Self::Output {
        &self.functions[handle.index()]
    }
}

#[derive(Debug)]
pub struct Validator {
    flags: ValidationFlags,
    capabilities: Capabilities,
    types: Vec<r#type::TypeInfo>,
    layouter: Layouter,
    location_mask: BitSet,
    bind_group_masks: Vec<BitSet>,
    #[allow(dead_code)]
    select_cases: FastHashSet<i32>,
    valid_expression_list: Vec<Handle<crate::Expression>>,
    valid_expression_set: BitSet,
}

#[derive(Clone, Debug, thiserror::Error)]
pub enum ConstantError {
    #[error(transparent)]
    BadHandle(#[from] BadHandle),
    #[error("The type doesn't match the constant")]
    InvalidType,
    #[error("The component handle {0:?} can not be resolved")]
    UnresolvedComponent(Handle<crate::Constant>),
    #[error("The array size handle {0:?} can not be resolved")]
    UnresolvedSize(Handle<crate::Constant>),
    #[error(transparent)]
    Compose(#[from] ComposeError),
}

#[derive(Clone, Debug, thiserror::Error)]
pub enum ValidationError {
    #[error(transparent)]
    Layouter(#[from] LayoutError),
    #[error("Type {handle:?} '{name}' is invalid")]
    Type {
        handle: Handle<crate::Type>,
        name: String,
        #[source]
        error: TypeError,
    },
    #[error("Constant {handle:?} '{name}' is invalid")]
    Constant {
        handle: Handle<crate::Constant>,
        name: String,
        #[source]
        error: ConstantError,
    },
    #[error("Global variable {handle:?} '{name}' is invalid")]
    GlobalVariable {
        handle: Handle<crate::GlobalVariable>,
        name: String,
        #[source]
        error: GlobalVariableError,
    },
    #[error("Function {handle:?} '{name}' is invalid")]
    Function {
        handle: Handle<crate::Function>,
        name: String,
        #[source]
        error: FunctionError,
    },
    #[error("Entry point {name} at {stage:?} is invalid")]
    EntryPoint {
        stage: crate::ShaderStage,
        name: String,
        #[source]
        error: EntryPointError,
    },
    #[error("Module is corrupted")]
    Corrupted,
}

impl crate::TypeInner {
    #[cfg(feature = "validate")]
    const fn is_sized(&self) -> bool {
        match *self {
            Self::Scalar { .. }
            | Self::Vector { .. }
            | Self::Matrix { .. }
            | Self::Array {
                size: crate::ArraySize::Constant(_),
                ..
            }
            | Self::Atomic { .. }
            | Self::Pointer { .. }
            | Self::ValuePointer { .. }
            | Self::Struct { .. } => true,
            Self::Array { .. }
            | Self::Image { .. }
            | Self::Sampler { .. }
            | Self::BindingArray { .. } => false,
        }
    }

    /// Return the `ImageDimension` for which `self` is an appropriate coordinate.
    #[cfg(feature = "validate")]
    const fn image_storage_coordinates(&self) -> Option<crate::ImageDimension> {
        match *self {
            Self::Scalar {
                kind: crate::ScalarKind::Sint,
                ..
            } => Some(crate::ImageDimension::D1),
            Self::Vector {
                size: crate::VectorSize::Bi,
                kind: crate::ScalarKind::Sint,
                ..
            } => Some(crate::ImageDimension::D2),
            Self::Vector {
                size: crate::VectorSize::Tri,
                kind: crate::ScalarKind::Sint,
                ..
            } => Some(crate::ImageDimension::D3),
            _ => None,
        }
    }
}

impl Validator {
    /// Construct a new validator instance.
    pub fn new(flags: ValidationFlags, capabilities: Capabilities) -> Self {
        Validator {
            flags,
            capabilities,
            types: Vec::new(),
            layouter: Layouter::default(),
            location_mask: BitSet::new(),
            bind_group_masks: Vec::new(),
            select_cases: FastHashSet::default(),
            valid_expression_list: Vec::new(),
            valid_expression_set: BitSet::new(),
        }
    }

    /// Reset the validator internals
    pub fn reset(&mut self) {
        self.types.clear();
        self.layouter.clear();
        self.location_mask.clear();
        self.bind_group_masks.clear();
        self.select_cases.clear();
        self.valid_expression_list.clear();
        self.valid_expression_set.clear();
    }

    #[cfg(feature = "validate")]
    fn validate_constant(
        &self,
        handle: Handle<crate::Constant>,
        constants: &Arena<crate::Constant>,
        types: &UniqueArena<crate::Type>,
    ) -> Result<(), ConstantError> {
        let con = &constants[handle];
        match con.inner {
            crate::ConstantInner::Scalar { width, ref value } => {
                if !self.check_width(value.scalar_kind(), width) {
                    return Err(ConstantError::InvalidType);
                }
            }
            crate::ConstantInner::Composite { ty, ref components } => {
                match types.get_handle(ty)?.inner {
                    crate::TypeInner::Array {
                        size: crate::ArraySize::Constant(size_handle),
                        ..
                    } if handle <= size_handle => {
                        return Err(ConstantError::UnresolvedSize(size_handle));
                    }
                    _ => {}
                }
                if let Some(&comp) = components.iter().find(|&&comp| handle <= comp) {
                    return Err(ConstantError::UnresolvedComponent(comp));
                }
                compose::validate_compose(
                    ty,
                    constants,
                    types,
                    components
                        .iter()
                        .map(|&component| constants[component].inner.resolve_type()),
                )?;
            }
        }
        Ok(())
    }

    /// Check the given module to be valid.
    pub fn validate(
        &mut self,
        module: &crate::Module,
    ) -> Result<ModuleInfo, WithSpan<ValidationError>> {
        self.reset();
        self.reset_types(module.types.len());

        self.layouter
            .update(&module.types, &module.constants)
            .map_err(|e| {
                let handle = e.ty;
                ValidationError::from(e).with_span_handle(handle, &module.types)
            })?;

        #[cfg(feature = "validate")]
        if self.flags.contains(ValidationFlags::CONSTANTS) {
            for (handle, constant) in module.constants.iter() {
                self.validate_constant(handle, &module.constants, &module.types)
                    .map_err(|error| {
                        ValidationError::Constant {
                            handle,
                            name: constant.name.clone().unwrap_or_default(),
                            error,
                        }
                        .with_span_handle(handle, &module.constants)
                    })?
            }
        }

        for (handle, ty) in module.types.iter() {
            let ty_info = self
                .validate_type(handle, &module.types, &module.constants)
                .map_err(|error| {
                    ValidationError::Type {
                        handle,
                        name: ty.name.clone().unwrap_or_default(),
                        error,
                    }
                    .with_span_handle(handle, &module.types)
                })?;
            self.types[handle.index()] = ty_info;
        }

        #[cfg(feature = "validate")]
        for (var_handle, var) in module.global_variables.iter() {
            self.validate_global_var(var, &module.types)
                .map_err(|error| {
                    ValidationError::GlobalVariable {
                        handle: var_handle,
                        name: var.name.clone().unwrap_or_default(),
                        error,
                    }
                    .with_span_handle(var_handle, &module.global_variables)
                })?;
        }

        let mut mod_info = ModuleInfo {
            functions: Vec::with_capacity(module.functions.len()),
            entry_points: Vec::with_capacity(module.entry_points.len()),
        };

        for (handle, fun) in module.functions.iter() {
            match self.validate_function(fun, module, &mod_info, false) {
                Ok(info) => mod_info.functions.push(info),
                Err(error) => {
                    return Err(error.and_then(|error| {
                        ValidationError::Function {
                            handle,
                            name: fun.name.clone().unwrap_or_default(),
                            error,
                        }
                        .with_span_handle(handle, &module.functions)
                    }))
                }
            }
        }

        let mut ep_map = FastHashSet::default();
        for ep in module.entry_points.iter() {
            if !ep_map.insert((ep.stage, &ep.name)) {
                return Err(ValidationError::EntryPoint {
                    stage: ep.stage,
                    name: ep.name.clone(),
                    error: EntryPointError::Conflict,
                }
                .with_span()); // TODO: keep some EP span information?
            }

            match self.validate_entry_point(ep, module, &mod_info) {
                Ok(info) => mod_info.entry_points.push(info),
                Err(error) => {
                    return Err(error.and_then(|inner| {
                        ValidationError::EntryPoint {
                            stage: ep.stage,
                            name: ep.name.clone(),
                            error: inner,
                        }
                        .with_span()
                    }))
                }
            }
        }

        Ok(mod_info)
    }
}


================================================
FILE: lib/naga/src/valid/type.rs
================================================
use super::Capabilities;
use crate::{
    arena::{Arena, BadHandle, Handle, UniqueArena},
    proc::Alignment,
};

bitflags::bitflags! {
    /// Flags associated with [`Type`]s by [`Validator`].
    ///
    /// [`Type`]: crate::Type
    /// [`Validator`]: crate::valid::Validator
    #[repr(transparent)]
    pub struct TypeFlags: u8 {
        /// Can be used for data variables.
        ///
        /// This flag is required on types of local variables, function
        /// arguments, array elements, and struct members.
        ///
        /// This includes all types except `Image`, `Sampler`,
        /// and some `Pointer` types.
        const DATA = 0x1;

        /// The data type has a size known by pipeline creation time.
        ///
        /// Unsized types are quite restricted. The only unsized types permitted
        /// by Naga, other than the non-[`DATA`] types like [`Image`] and
        /// [`Sampler`], are dynamically-sized [`Array`s], and [`Struct`s] whose
        /// last members are such arrays. See the documentation for those types
        /// for details.
        ///
        /// [`DATA`]: TypeFlags::DATA
        /// [`Image`]: crate::Type::Image
        /// [`Sampler`]: crate::Type::Sampler
        /// [`Array`]: crate::Type::Array
        /// [`Struct`]: crate::Type::struct
        const SIZED = 0x2;

        /// The data can be copied around.
        const COPY = 0x4;

        /// Can be be used for user-defined IO between pipeline stages.
        ///
        /// This covers anything that can be in [`Location`] binding:
        /// non-bool scalars and vectors, matrices, and structs and
        /// arrays containing only interface types.
        const IO_SHAREABLE = 0x8;

        /// Can be used for host-shareable structures.
        const HOST_SHAREABLE = 0x10;

        /// This type can be passed as a function argument.
        const ARGUMENT = 0x40;

        /// A WGSL [constructible] type.
        ///
        /// The constructible types are scalars, vectors, matrices, fixed-size
        /// arrays of constructible types, and structs whose members are all
        /// constructible.
        ///
        /// [constructible]: https://gpuweb.github.io/gpuweb/wgsl/#constructible
        const CONSTRUCTIBLE = 0x80;
    }
}

#[derive(Clone, Copy, Debug, thiserror::Error)]
pub enum Disalignment {
    #[error("The array stride {stride} is not a multiple of the required alignment {alignment}")]
    ArrayStride { stride: u32, alignment: Alignment },
    #[error("The struct span {span}, is not a multiple of the required alignment {alignment}")]
    StructSpan { span: u32, alignment: Alignment },
    #[error("The struct member[{index}] offset {offset} is not a multiple of the required alignment {alignment}")]
    MemberOffset {
        index: u32,
        offset: u32,
        alignment: Alignment,
    },
    #[error("The struct member[{index}] offset {offset} must be at least {expected}")]
    MemberOffsetAfterStruct {
        index: u32,
        offset: u32,
        expected: u32,
    },
    #[error("The struct member[{index}] is not statically sized")]
    UnsizedMember { index: u32 },
    #[error("The type is not host-shareable")]
    NonHostShareable,
}

#[derive(Clone, Debug, thiserror::Error)]
pub enum TypeError {
    #[error(transparent)]
    BadHandle(#[from] BadHandle),
    #[error("The {0:?} scalar width {1} is not supported")]
    InvalidWidth(crate::ScalarKind, crate::Bytes),
    #[error("The {0:?} scalar width {1} is not supported for an atomic")]
    InvalidAtomicWidth(crate::ScalarKind, crate::Bytes),
    #[error("The base handle {0:?} can not be resolved")]
    UnresolvedBase(Handle<crate::Type>),
    #[error("Invalid type for pointer target {0:?}")]
    InvalidPointerBase(Handle<crate::Type>),
    #[error("Unsized types like {base:?} must be in the `Storage` address space, not `{space:?}`")]
    InvalidPointerToUnsized {
        base: Handle<crate::Type>,
        space: crate::AddressSpace,
    },
    #[error("Expected data type, found {0:?}")]
    InvalidData(Handle<crate::Type>),
    #[error("Base type {0:?} for the array is invalid")]
    InvalidArrayBaseType(Handle<crate::Type>),
    #[error("The constant {0:?} can not be used for an array size")]
    InvalidArraySizeConstant(Handle<crate::Constant>),
    #[error("The constant {0:?} is specialized, and cannot be used as an array size")]
    UnsupportedSpecializedArrayLength(Handle<crate::Constant>),
    #[error("Array type {0:?} must have a length of one or more")]
    NonPositiveArrayLength(Handle<crate::Constant>),
    #[error("Array stride {stride} does not match the expected {expected}")]
    InvalidArrayStride { stride: u32, expected: u32 },
    #[error("Field '{0}' can't be dynamically-sized, has type {1:?}")]
    InvalidDynamicArray(String, Handle<crate::Type>),
    #[error("Structure member[{index}] at {offset} overlaps the previous member")]
    MemberOverlap { index: u32, offset: u32 },
    #[error(
        "Structure member[{index}] at {offset} and size {size} crosses the structure boundary of size {span}"
    )]
    MemberOutOfBounds {
        index: u32,
        offset: u32,
        size: u32,
        span: u32,
    },
    #[error("Structure types must have at least one member")]
    EmptyStruct,
}

// Only makes sense if `flags.contains(HOST_SHAREABLE)`
type LayoutCompatibility = Result<Alignment, (Handle<crate::Type>, Disalignment)>;

fn check_member_layout(
    accum: &mut LayoutCompatibility,
    member: &crate::StructMember,
    member_index: u32,
    member_layout: LayoutCompatibility,
    parent_handle: Handle<crate::Type>,
) {
    *accum = match (*accum, member_layout) {
        (Ok(cur_alignment), Ok(alignment)) => {
            if alignment.is_aligned(member.offset) {
                Ok(cur_alignment.max(alignment))
            } else {
                Err((
                    parent_handle,
                    Disalignment::MemberOffset {
                        index: member_index,
                        offset: member.offset,
                        alignment,
                    },
                ))
            }
        }
        (Err(e), _) | (_, Err(e)) => Err(e),
    };
}

/// Determine whether a pointer in `space` can be passed as an argument.
///
/// If a pointer in `space` is permitted to be passed as an argument to a
/// user-defined function, return `TypeFlags::ARGUMENT`. Otherwise, return
/// `TypeFlags::empty()`.
///
/// Pointers passed as arguments to user-defined functions must be in the
/// `Function`, `Private`, or `Workgroup` storage space.
const fn ptr_space_argument_flag(space: crate::AddressSpace) -> TypeFlags {
    use crate::AddressSpace as As;
    match space {
        As::Function | As::Private | As::WorkGroup => TypeFlags::ARGUMENT,
        As::Uniform | As::Storage { .. } | As::Handle | As::PushConstant => TypeFlags::empty(),
    }
}

#[derive(Clone, Debug)]
pub(super) struct TypeInfo {
    pub flags: TypeFlags,
    pub uniform_layout: LayoutCompatibility,
    pub storage_layout: LayoutCompatibility,
}

impl TypeInfo {
    const fn dummy() -> Self {
        TypeInfo {
            flags: TypeFlags::empty(),
            uniform_layout: Ok(Alignment::ONE),
            storage_layout: Ok(Alignment::ONE),
        }
    }

    const fn new(flags: TypeFlags, alignment: Alignment) -> Self {
        TypeInfo {
            flags,
            uniform_layout: Ok(alignment),
            storage_layout: Ok(alignment),
        }
    }
}

impl super::Validator {
    pub(super) const fn check_width(&self, kind: crate::ScalarKind, width: crate::Bytes) -> bool {
        match kind {
            crate::ScalarKind::Bool => width == crate::BOOL_WIDTH,
            crate::ScalarKind::Float => {
                width == 4 || (width == 8 && self.capabilities.contains(Capabilities::FLOAT64))
            }
            crate::ScalarKind::Sint | crate::ScalarKind::Uint => width == 4,
        }
    }

    pub(super) fn reset_types(&mut self, size: usize) {
        self.types.clear();
        self.types.resize(size, TypeInfo::dummy());
        self.layouter.clear();
    }

    pub(super) fn validate_type(
        &self,
        handle: Handle<crate::Type>,
        types: &UniqueArena<crate::Type>,
        constants: &Arena<crate::Constant>,
    ) -> Result<TypeInfo, TypeError> {
        use crate::TypeInner as Ti;
        Ok(match types[handle].inner {
            Ti::Scalar { kind, width } => {
                if !self.check_width(kind, width) {
                    return Err(TypeError::InvalidWidth(kind, width));
                }
                let shareable = if kind.is_numeric() {
                    TypeFlags::IO_SHAREABLE | TypeFlags::HOST_SHAREABLE
                } else {
                    TypeFlags::empty()
                };
                TypeInfo::new(
                    TypeFlags::DATA
                        | TypeFlags::SIZED
                        | TypeFlags::COPY
                        | TypeFlags::ARGUMENT
                        | TypeFlags::CONSTRUCTIBLE
                        | shareable,
                    Alignment::from_width(width),
                )
            }
            Ti::Vector { size, kind, width } => {
                if !self.check_width(kind, width) {
                    return Err(TypeError::InvalidWidth(kind, width));
                }
                let shareable = if kind.is_numeric() {
                    TypeFlags::IO_SHAREABLE | TypeFlags::HOST_SHAREABLE
                } else {
                    TypeFlags::empty()
                };
                TypeInfo::new(
                    TypeFlags::DATA
                        | TypeFlags::SIZED
                        | TypeFlags::COPY
                        | TypeFlags::HOST_SHAREABLE
                        | TypeFlags::ARGUMENT
                        | TypeFlags::CONSTRUCTIBLE
                        | shareable,
                    Alignment::from(size) * Alignment::from_width(width),
                )
            }
            Ti::Matrix {
                columns: _,
                rows,
                width,
            } => {
                if !self.check_width(crate::ScalarKind::Float, width) {
                    return Err(TypeError::InvalidWidth(crate::ScalarKind::Float, width));
                }
                TypeInfo::new(
                    TypeFlags::DATA
                        | TypeFlags::SIZED
                        | TypeFlags::COPY
                        | TypeFlags::HOST_SHAREABLE
                        | TypeFlags::ARGUMENT
                        | TypeFlags::CONSTRUCTIBLE,
                    Alignment::from(rows) * Alignment::from_width(width),
                )
            }
            Ti::Atomic { kind, width } => {
                let good = match kind {
                    crate::ScalarKind::Bool | crate::ScalarKind::Float => false,
                    crate::ScalarKind::Sint | crate::ScalarKind::Uint => width == 4,
                };
                if !good {
                    return Err(TypeError::InvalidAtomicWidth(kind, width));
                }
                TypeInfo::new(
                    TypeFlags::DATA | TypeFlags::SIZED | TypeFlags::HOST_SHAREABLE,
                    Alignment::from_width(width),
                )
            }
            Ti::Pointer { base, space } => {
                use crate::AddressSpace as As;

                if base >= handle {
                    return Err(TypeError::UnresolvedBase(base));
                }

                let base_info = &self.types[base.index()];
                if !base_info.flags.contains(TypeFlags::DATA) {
                    return Err(TypeError::InvalidPointerBase(base));
                }

                // Runtime-sized values can only live in the `Storage` storage
                // space, so it's useless to have a pointer to such a type in
                // any other space.
                //
                // Detecting this problem here prevents the definition of
                // functions like:
                //
                //     fn f(p: ptr<workgroup, UnsizedType>) -> ... { ... }
                //
                // which would otherwise be permitted, but uncallable. (They
                // may also present difficulties in code generation).
                if !base_info.flags.contains(TypeFlags::SIZED) {
                    match space {
                        As::Storage { .. } => {}
                        _ => {
                            return Err(TypeError::InvalidPointerToUnsized { base, space });
                        }
                    }
                }

                // `Validator::validate_function` actually checks the storage
                // space of pointer arguments explicitly before checking the
                // `ARGUMENT` flag, to give better error messages. But it seems
                // best to set `ARGUMENT` accurately anyway.
                let argument_flag = ptr_space_argument_flag(space);

                // Pointers cannot be stored in variables, structure members, or
                // array elements, so we do not mark them as `DATA`.
                TypeInfo::new(
                    argument_flag | TypeFlags::SIZED | TypeFlags::COPY,
                    Alignment::ONE,
                )
            }
            Ti::ValuePointer {
                size: _,
                kind,
                width,
                space,
            } => {
                // ValuePointer should be treated the same way as the equivalent
                // Pointer / Scalar / Vector combination, so each step in those
                // variants' match arms should have a counterpart here.
                //
                // However, some cases are trivial: All our implicit base types
                // are DATA and SIZED, so we can never return
                // `InvalidPointerBase` or `InvalidPointerToUnsized`.
                if !self.check_width(kind, width) {
                    return Err(TypeError::InvalidWidth(kind, width));
                }

                // `Validator::validate_function` actually checks the storage
                // space of pointer arguments explicitly before checking the
                // `ARGUMENT` flag, to give better error messages. But it seems
                // best to set `ARGUMENT` accurately anyway.
                let argument_flag = ptr_space_argument_flag(space);

                // Pointers cannot be stored in variables, structure members, or
                // array elements, so we do not mark them as `DATA`.
                TypeInfo::new(
                    argument_flag | TypeFlags::SIZED | TypeFlags::COPY,
                    Alignment::ONE,
                )
            }
            Ti::Array { base, size, stride } => {
                if base >= handle {
                    return Err(TypeError::UnresolvedBase(base));
                }
                let base_info = &self.types[base.index()];
                if !base_info.flags.contains(TypeFlags::DATA | TypeFlags::SIZED) {
                    return Err(TypeError::InvalidArrayBaseType(base));
                }

                let base_layout = self.layouter[base];
                let expected_stride = base_layout.to_stride();
                if stride != expected_stride {
                    return Err(TypeError::InvalidArrayStride {
                        stride,
                        expected: expected_stride,
                    });
                }

                let general_alignment = base_layout.alignment;
                let uniform_layout = match base_info.uniform_layout {
                    Ok(base_alignment) => {
                        let alignment = base_alignment
                            .max(general_alignment)
                            .max(Alignment::MIN_UNIFORM);
                        if alignment.is_aligned(stride) {
                            Ok(alignment)
                        } else {
                            Err((handle, Disalignment::ArrayStride { stride, alignment }))
                        }
                    }
                    Err(e) => Err(e),
                };
                let storage_layout = match base_info.storage_layout {
                    Ok(base_alignment) => {
                        let alignment = base_alignment.max(general_alignment);
                        if alignment.is_aligned(stride) {
                            Ok(alignment)
                        } else {
                            Err((handle, Disalignment::ArrayStride { stride, alignment }))
                        }
                    }
                    Err(e) => Err(e),
                };

                let sized_flag = match size {
                    crate::ArraySize::Constant(const_handle) => {
                        let constant = constants.try_get(const_handle)?;
                        let length_is_positive = match *constant {
                            crate::Constant {
                                specialization: Some(_),
                                ..
                            } => {
                                // Many of our back ends don't seem to support
                                // specializable array lengths. If you want to try to make
                                // this work, be sure to address all uses of
                                // `Constant::to_array_length`, which ignores
                                // specialization.
                                return Err(TypeError::UnsupportedSpecializedArrayLength(
                                    const_handle,
                                ));
                            }
                            crate::Constant {
                                inner:
                                    crate::ConstantInner::Scalar {
                                        width: _,
                                        value: crate::ScalarValue::Uint(length),
                                    },
                                ..
                            } => length > 0,
                            // Accept a signed integer size to avoid
                            // requiring an explicit uint
                            // literal. Type inference should make
                            // this unnecessary.
                            crate::Constant {
                                inner:
                                    crate::ConstantInner::Scalar {
                                        width: _,
                                        value: crate::ScalarValue::Sint(length),
                                    },
                                ..
                            } => length > 0,
                            _ => {
                                log::warn!("Array size {:?}", constant);
                                return Err(TypeError::InvalidArraySizeConstant(const_handle));
                            }
                        };

                        if !length_is_positive {
                            return Err(TypeError::NonPositiveArrayLength(const_handle));
                        }

                        TypeFlags::SIZED | TypeFlags::ARGUMENT | TypeFlags::CONSTRUCTIBLE
                    }
                    crate::ArraySize::Dynamic => {
                        // Non-SIZED types may only appear as the last element of a structure.
                        // This is enforced by checks for SIZED-ness for all compound types,
                        // and a special case for structs.
                        TypeFlags::empty()
                    }
                };

                let base_mask = TypeFlags::COPY | TypeFlags::HOST_SHAREABLE;
                TypeInfo {
                    flags: TypeFlags::DATA | (base_info.flags & base_mask) | sized_flag,
                    uniform_layout,
                    storage_layout,
                }
            }
            Ti::Struct { ref members, span } => {
                if members.is_empty() {
                    return Err(TypeError::EmptyStruct);
                }

                let mut ti = TypeInfo::new(
                    TypeFlags::DATA
                        | TypeFlags::SIZED
                        | TypeFlags::COPY
                        | TypeFlags::HOST_SHAREABLE
                        | TypeFlags::IO_SHAREABLE
                        | TypeFlags::ARGUMENT
                        | TypeFlags::CONSTRUCTIBLE,
                    Alignment::ONE,
                );
                ti.uniform_layout = Ok(Alignment::MIN_UNIFORM);

                let mut min_offset = 0;

                let mut prev_struct_data: Option<(u32, u32)> = None;

                for (i, member) in members.iter().enumerate() {
                    if member.ty >= handle {
                        return Err(TypeError::UnresolvedBase(member.ty));
                    }
                    let base_info = &self.types[member.ty.index()];
                    if !base_info.flags.contains(TypeFlags::DATA) {
                        return Err(TypeError::InvalidData(member.ty));
                    }
                    if !base_info.flags.contains(TypeFlags::HOST_SHAREABLE) {
                        if ti.uniform_layout.is_ok() {
                            ti.uniform_layout = Err((member.ty, Disalignment::NonHostShareable));
                        }
                        if ti.storage_layout.is_ok() {
                            ti.storage_layout = Err((member.ty, Disalignment::NonHostShareable));
                        }
                    }
                    ti.flags &= base_info.flags;

                    if member.offset < min_offset {
                        // HACK: this could be nicer. We want to allow some structures
                        // to not bother with offsets/alignments if they are never
                        // used for host sharing.
                        if member.offset == 0 {
                            ti.flags.set(TypeFlags::HOST_SHAREABLE, false);
                        } else {
                            return Err(TypeError::MemberOverlap {
                                index: i as u32,
                                offset: member.offset,
                            });
                        }
                    }

                    let base_size = types[member.ty].inner.size(constants);
                    min_offset = member.offset + base_size;
                    if min_offset > span {
                        return Err(TypeError::MemberOutOfBounds {
                            index: i as u32,
                            offset: member.offset,
                            size: base_size,
                            span,
                        });
                    }

                    check_member_layout(
                        &mut ti.uniform_layout,
                        member,
                        i as u32,
                        base_info.uniform_layout,
                        handle,
                    );
                    check_member_layout(
                        &mut ti.storage_layout,
                        member,
                        i as u32,
                        base_info.storage_layout,
                        handle,
                    );

                    // Validate rule: If a structure member itself has a structure type S,
                    // then the number of bytes between the start of that member and
                    // the start of any following member must be at least roundUp(16, SizeOf(S)).
                    if let Some((span, offset)) = prev_struct_data {
                        let diff = member.offset - offset;
                        let min = Alignment::MIN_UNIFORM.round_up(span);
                        if diff < min {
                            ti.uniform_layout = Err((
                                handle,
                                Disalignment::MemberOffsetAfterStruct {
                                    index: i as u32,
                                    offset: member.offset,
                                    expected: offset + min,
                                },
                            ));
                        }
                    };

                    prev_struct_data = match types[member.ty].inner {
                        crate::TypeInner::Struct { span, .. } => Some((span, member.offset)),
                        _ => None,
                    };

                    // The last field may be an unsized array.
                    if !base_info.flags.contains(TypeFlags::SIZED) {
                        let is_array = match types[member.ty].inner {
                            crate::TypeInner::Array { .. } => true,
                            _ => false,
                        };
                        if !is_array || i + 1 != members.len() {
                            let name = member.name.clone().unwrap_or_default();
                            return Err(TypeError::InvalidDynamicArray(name, member.ty));
                        }
                        if ti.uniform_layout.is_ok() {
                            ti.uniform_layout =
                                Err((handle, Disalignment::UnsizedMember { index: i as u32 }));
                        }
                    }
                }

                let alignment = self.layouter[handle].alignment;
                if !alignment.is_aligned(span) {
                    ti.uniform_layout = Err((handle, Disalignment::StructSpan { span, alignment }));
                    ti.storage_layout = Err((handle, Disalignment::StructSpan { span, alignment }));
                }

                ti
            }
            Ti::Image { .. } | Ti::Sampler { .. } => {
                TypeInfo::new(TypeFlags::ARGUMENT, Alignment::ONE)
            }
            Ti::BindingArray { .. } => TypeInfo::new(TypeFlags::empty(), Alignment::ONE),
        })
    }
}


================================================
FILE: lib/naga/tests/in/access.param.ron
================================================
(
	spv: (
		version: (1, 1),
		debug: true,
		adjust_coordinate_space: false,
	),
	msl: (
		lang_version: (2, 0),
		per_stage_map: (
			vs: (
				resources: {
					(group: 0, binding: 0): (buffer: Some(0), mutable: false),
					(group: 0, binding: 1): (buffer: Some(1), mutable: false),
					(group: 0, binding: 2): (buffer: Some(2), mutable: false),
					(group: 0, binding: 3): (buffer: Some(3), mutable: false),
				},
				sizes_buffer: Some(24),
			),
			fs: (
				resources: {
					(group: 0, binding: 0): (buffer: Some(0), mutable: true),
					(group: 0, binding: 2): (buffer: Some(2), mutable: true),
				},
				sizes_buffer: Some(24),
			),
			cs: (
				resources: {
					(group: 0, binding: 0): (buffer: Some(0), mutable: true),
				},
				sizes_buffer: Some(24),
			),
		),
		inline_samplers: [],
		spirv_cross_compatibility: false,
		fake_missing_bindings: false,
	),
)


================================================
FILE: lib/naga/tests/in/access.wgsl
================================================
// This snapshot tests accessing various containers, dereferencing pointers.

struct GlobalConst {
    a: u32,
    b: vec3<u32>,
    c: i32,
}
// tests msl padding insertion for global constants
var<private> global_const: GlobalConst = GlobalConst(0u, vec3<u32>(0u, 0u, 0u), 0);

struct AlignedWrapper {
	@align(8) value: i32
}

struct Bar {
	_matrix: mat4x3<f32>,
	matrix_array: array<mat2x2<f32>, 2>,
	atom: atomic<i32>,
	arr: array<vec2<u32>, 2>,
	data: array<AlignedWrapper>,
}

@group(0) @binding(0)
var<storage,read_write> bar: Bar;

struct Baz {
	m: mat3x2<f32>,
}

@group(0) @binding(1)
var<uniform> baz: Baz;

@group(0) @binding(2)
var<storage,read_write> qux: vec2<i32>;

fn test_matrix_within_struct_accesses() {
	var idx = 1;

    idx--;

	// loads
    _ = baz.m;
    _ = baz.m[0];
    _ = baz.m[idx];
    _ = baz.m[0][1];
    _ = baz.m[0][idx];
    _ = baz.m[idx][1];
    _ = baz.m[idx][idx];

    var t = Baz(mat3x2<f32>(vec2<f32>(1.0), vec2<f32>(2.0), vec2<f32>(3.0)));

    idx++;

	// stores
    t.m = mat3x2<f32>(vec2<f32>(6.0), vec2<f32>(5.0), vec2<f32>(4.0));
    t.m[0] = vec2<f32>(9.0);
    t.m[idx] = vec2<f32>(90.0);
    t.m[0][1] = 10.0;
    t.m[0][idx] = 20.0;
    t.m[idx][1] = 30.0;
    t.m[idx][idx] = 40.0;
}

struct MatCx2InArray {
	am: array<mat4x2<f32>, 2>,
}

@group(0) @binding(3)
var<uniform> nested_mat_cx2: MatCx2InArray;

fn test_matrix_within_array_within_struct_accesses() {
	var idx = 1;

    idx--;

	// loads
    _ = nested_mat_cx2.am;
    _ = nested_mat_cx2.am[0];
    _ = nested_mat_cx2.am[0][0];
    _ = nested_mat_cx2.am[0][idx];
    _ = nested_mat_cx2.am[0][0][1];
    _ = nested_mat_cx2.am[0][0][idx];
    _ = nested_mat_cx2.am[0][idx][1];
    _ = nested_mat_cx2.am[0][idx][idx];

    var t = MatCx2InArray(array<mat4x2<f32>, 2>());

    idx++;

	// stores
    t.am = array<mat4x2<f32>, 2>();
    t.am[0] = mat4x2<f32>(vec2<f32>(8.0), vec2<f32>(7.0), vec2<f32>(6.0), vec2<f32>(5.0));
    t.am[0][0] = vec2<f32>(9.0);
    t.am[0][idx] = vec2<f32>(90.0);
    t.am[0][0][1] = 10.0;
    t.am[0][0][idx] = 20.0;
    t.am[0][idx][1] = 30.0;
    t.am[0][idx][idx] = 40.0;
}

fn read_from_private(foo: ptr<function, f32>) -> f32 {
    return *foo;
}

fn test_arr_as_arg(a: array<array<f32, 10>, 5>) -> f32 {
    return a[4][9];
}

@vertex
fn foo_vert(@builtin(vertex_index) vi: u32) -> @builtin(position) vec4<f32> {
    var foo: f32 = 0.0;
    // We should check that backed doesn't skip this expression
    let baz: f32 = foo;
    foo = 1.0;

	test_matrix_within_struct_accesses();
	test_matrix_within_array_within_struct_accesses();

    // test storage loads
	let _matrix = bar._matrix;
	let arr = bar.arr;
	let index = 3u;
	let b = bar._matrix[index].x;
	let a = bar.data[arrayLength(&bar.data) - 2u].value;
	let c = qux;

	// test pointer types
	let data_pointer: ptr<storage, i32, read_write> = &bar.data[0].value;
	let foo_value = read_from_private(&foo);

	// test array indexing
	var c = array<i32, 5>(a, i32(b), 3, 4, 5);
	c[vi + 1u] = 42;
	let value = c[vi];

	_ = test_arr_as_arg(array<array<f32, 10>, 5>());

	return vec4<f32>(_matrix * vec4<f32>(vec4<i32>(value)), 2.0);
}

@fragment
fn foo_frag() -> @location(0) vec4<f32> {
	// test storage stores
	bar._matrix[1].z = 1.0;
	bar._matrix = mat4x3<f32>(vec3<f32>(0.0), vec3<f32>(1.0), vec3<f32>(2.0), vec3<f32>(3.0));
	bar.arr = array<vec2<u32>, 2>(vec2<u32>(0u), vec2<u32>(1u));
	bar.data[1].value = 1;
	qux = vec2<i32>();

	return vec4<f32>(0.0);
}

@compute @workgroup_size(1)
fn atomics() {
	var tmp: i32;
	let value = atomicLoad(&bar.atom);
	tmp = atomicAdd(&bar.atom, 5);
	tmp = atomicSub(&bar.atom, 5);
	tmp = atomicAnd(&bar.atom, 5);
	tmp = atomicOr(&bar.atom, 5);
	tmp = atomicXor(&bar.atom, 5);
	tmp = atomicMin(&bar.atom, 5);
	tmp = atomicMax(&bar.atom, 5);
	tmp = atomicExchange(&bar.atom, 5);
	// https://github.com/gpuweb/gpuweb/issues/2021
	// tmp = atomicCompareExchangeWeak(&bar.atom, 5, 5);
	atomicStore(&bar.atom, value);
}

var<workgroup> val: u32;

fn assign_through_ptr_fn(p: ptr<workgroup, u32>) {
    *p = 42u;
}

@compute @workgroup_size(1)
fn assign_through_ptr() {
    assign_through_ptr_fn(&val);
}


================================================
FILE: lib/naga/tests/in/binding-arrays.param.ron
================================================
(
	god_mode: true,
	hlsl: (
		shader_model: V5_1,
		binding_map: {
			(group: 0, binding: 0): (space: 0, register: 0, binding_array_size: Some(10)),
			(group: 0, binding: 1): (space: 1, register: 0),
			(group: 0, binding: 2): (space: 2, register: 0),
			(group: 0, binding: 3): (space: 3, register: 0),
			(group: 0, binding: 4): (space: 4, register: 0),
			(group: 0, binding: 5): (space: 5, register: 0),
			(group: 0, binding: 6): (space: 6, register: 0),
			(group: 0, binding: 7): (space: 7, register: 0),
			(group: 0, binding: 8): (space: 8, register: 0),
		},
		fake_missing_bindings: true,
		special_constants_binding: None,
	),
	msl: (
		lang_version: (2, 0),
		per_stage_map: (
			fs: (
				resources: {
					(group: 0, binding: 0): (texture: Some(0), binding_array_size: Some(10), mutable: false),
				},
				sizes_buffer: None,
			)
		),
		inline_samplers: [],
		spirv_cross_compatibility: false,
		fake_missing_bindings: true,
	),
	spv: (
		version: (1, 1),
		binding_map: {
			(group: 0, binding: 0): (binding_array_size: Some(10)),
		},
	),
	bounds_check_policies: (
		index: ReadZeroSkipWrite,
		buffer: ReadZeroSkipWrite,
		image: ReadZeroSkipWrite,
	)
)


================================================
FILE: lib/naga/tests/in/binding-arrays.wgsl
================================================
struct UniformIndex {
    index: u32
};

@group(0) @binding(0)
var texture_array_unbounded: binding_array<texture_2d<f32>>;
@group(0) @binding(1)
var texture_array_bounded: binding_array<texture_2d<f32>, 5>;
@group(0) @binding(2)
var texture_array_2darray: binding_array<texture_2d_array<f32>, 5>;
@group(0) @binding(3)
var texture_array_multisampled: binding_array<texture_multisampled_2d<f32>, 5>;
@group(0) @binding(4)
var texture_array_depth: binding_array<texture_depth_2d, 5>;
@group(0) @binding(5)
var texture_array_storage: binding_array<texture_storage_2d<rgba32float, write>, 5>;
@group(0) @binding(6)
var samp: binding_array<sampler, 5>;
@group(0) @binding(7)
var samp_comp: binding_array<sampler_comparison, 5>;
@group(0) @binding(8)
var<uniform> uni: UniformIndex;

struct FragmentIn {
    @location(0) index: u32,
};

@fragment
fn main(fragment_in: FragmentIn) -> @location(0) vec4<f32> {
    let uniform_index = uni.index;
    let non_uniform_index = fragment_in.index;

    var i1 = 0;
    var i2 = vec2<i32>(0);
    var v1 = 0.0;
    var v4 = vec4<f32>(0.0);
    
    // This example is arranged in the order of the texture definitions in the wgsl spec
    // 
    // The first function uses texture_array_unbounded, the rest use texture_array_bounded to make sure
    // they both show up in the output. Functions that need depth use texture_array_2darray.
    //
    // We only test 2D f32 textures here as the machinery for binding indexing doesn't care about
    // texture format or texture dimension.

    let uv = vec2<f32>(0.0);
    let pix = vec2<i32>(0);

    i2 += textureDimensions(texture_array_unbounded[0]);
    i2 += textureDimensions(texture_array_unbounded[uniform_index]);
    i2 += textureDimensions(texture_array_unbounded[non_uniform_index]);

    v4 += textureGather(0, texture_array_bounded[0], samp[0], uv);
    v4 += textureGather(0, texture_array_bounded[uniform_index], samp[uniform_index], uv);
    v4 += textureGather(0, texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv); 

    v4 += textureGatherCompare(texture_array_depth[0], samp_comp[0], uv, 0.0);
    v4 += textureGatherCompare(texture_array_depth[uniform_index], samp_comp[uniform_index], uv, 0.0);
    v4 += textureGatherCompare(texture_array_depth[non_uniform_index], samp_comp[non_uniform_index], uv, 0.0); 

    v4 += textureLoad(texture_array_unbounded[0], pix, 0);
    v4 += textureLoad(texture_array_unbounded[uniform_index], pix, 0);
    v4 += textureLoad(texture_array_unbounded[non_uniform_index], pix, 0);

    i1 += textureNumLayers(texture_array_2darray[0]);
    i1 += textureNumLayers(texture_array_2darray[uniform_index]);
    i1 += textureNumLayers(texture_array_2darray[non_uniform_index]);

    i1 += textureNumLevels(texture_array_bounded[0]);
    i1 += textureNumLevels(texture_array_bounded[uniform_index]);
    i1 += textureNumLevels(texture_array_bounded[non_uniform_index]);

    i1 += textureNumSamples(texture_array_multisampled[0]);
    i1 += textureNumSamples(texture_array_multisampled[uniform_index]);
    i1 += textureNumSamples(texture_array_multisampled[non_uniform_index]);

    v4 += textureSample(texture_array_bounded[0], samp[0], uv);
    v4 += textureSample(texture_array_bounded[uniform_index], samp[uniform_index], uv);
    v4 += textureSample(texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv);

    v4 += textureSampleBias(texture_array_bounded[0], samp[0], uv, 0.0);
    v4 += textureSampleBias(texture_array_bounded[uniform_index], samp[uniform_index], uv, 0.0);
    v4 += textureSampleBias(texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv, 0.0);

    v1 += textureSampleCompare(texture_array_depth[0], samp_comp[0], uv, 0.0);
    v1 += textureSampleCompare(texture_array_depth[uniform_index], samp_comp[uniform_index], uv, 0.0);
    v1 += textureSampleCompare(texture_array_depth[non_uniform_index], samp_comp[non_uniform_index], uv, 0.0);

    v1 += textureSampleCompareLevel(texture_array_depth[0], samp_comp[0], uv, 0.0);
    v1 += textureSampleCompareLevel(texture_array_depth[uniform_index], samp_comp[uniform_index], uv, 0.0);
    v1 += textureSampleCompareLevel(texture_array_depth[non_uniform_index], samp_comp[non_uniform_index], uv, 0.0);

    v4 += textureSampleGrad(texture_array_bounded[0], samp[0], uv, uv, uv);
    v4 += textureSampleGrad(texture_array_bounded[uniform_index], samp[uniform_index], uv, uv, uv);
    v4 += textureSampleGrad(texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv, uv, uv);

    v4 += textureSampleLevel(texture_array_bounded[0], samp[0], uv, 0.0);
    v4 += textureSampleLevel(texture_array_bounded[uniform_index], samp[uniform_index], uv, 0.0);
    v4 += textureSampleLevel(texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv, 0.0);

    textureStore(texture_array_storage[0], pix, v4);
    textureStore(texture_array_storage[uniform_index], pix, v4);
    textureStore(texture_array_storage[non_uniform_index], pix, v4);

    let v2 = vec2<f32>(i2 + vec2<i32>(i1));

    return v4 + vec4<f32>(v2.x, v2.y, v2.x, v2.y) + v1;
}


================================================
FILE: lib/naga/tests/in/bitcast.params.ron
================================================
(
	msl: (
		lang_version: (1, 2),
		per_stage_map: (
			cs: (
				resources: {
				},
				sizes_buffer: Some(0),
			)
		),
		inline_samplers: [],
		spirv_cross_compatibility: false,
		fake_missing_bindings: false,
	),
)


================================================
FILE: lib/naga/tests/in/bitcast.wgsl
================================================
@compute @workgroup_size(1)
fn main() {
    var i2 = vec2<i32>(0);
    var i3 = vec3<i32>(0);
    var i4 = vec4<i32>(0);
    
    var u2 = vec2<u32>(0u);
    var u3 = vec3<u32>(0u);
    var u4 = vec4<u32>(0u);
    
    var f2 = vec2<f32>(0.0);
    var f3 = vec3<f32>(0.0);
    var f4 = vec4<f32>(0.0);

    u2 = bitcast<vec2<u32>>(i2);
    u3 = bitcast<vec3<u32>>(i3);
    u4 = bitcast<vec4<u32>>(i4);
    
    i2 = bitcast<vec2<i32>>(u2);
    i3 = bitcast<vec3<i32>>(u3);
    i4 = bitcast<vec4<i32>>(u4);
    
    f2 = bitcast<vec2<f32>>(i2);
    f3 = bitcast<vec3<f32>>(i3);
    f4 = bitcast<vec4<f32>>(i4);
}


================================================
FILE: lib/naga/tests/in/bits.param.ron
================================================
(
	msl: (
		lang_version: (1, 2),
		per_stage_map: (
			cs: (
				resources: {
				},
				sizes_buffer: Some(0),
			)
		),
		inline_samplers: [],
		spirv_cross_compatibility: false,
		fake_missing_bindings: false,
	),
)


================================================
FILE: lib/naga/tests/in/bits.wgsl
================================================
@compute @workgroup_size(1)
fn main() {
    var i = 0;
    var i2 = vec2<i32>(0);
    var i3 = vec3<i32>(0);
    var i4 = vec4<i32>(0);
    var u = 0u;
    var u2 = vec2<u32>(0u);
    var u3 = vec3<u32>(0u);
    var u4 = vec4<u32>(0u);
    var f2 = vec2<f32>(0.0);
    var f4 = vec4<f32>(0.0);
    u = pack4x8snorm(f4);
    u = pack4x8unorm(f4);
    u = pack2x16snorm(f2);
    u = pack2x16unorm(f2);
    u = pack2x16float(f2);
    f4 = unpack4x8snorm(u);
    f4 = unpack4x8unorm(u);
    f2 = unpack2x16snorm(u);
    f2 = unpack2x16unorm(u);
    f2 = unpack2x16float(u);
    i = insertBits(i, i, 5u, 10u);
    i2 = insertBits(i2, i2, 5u, 10u);
    i3 = insertBits(i3, i3, 5u, 10u);
    i4 = insertBits(i4, i4, 5u, 10u);
    u = insertBits(u, u, 5u, 10u);
    u2 = insertBits(u2, u2, 5u, 10u);
    u3 = insertBits(u3, u3, 5u, 10u);
    u4 = insertBits(u4, u4, 5u, 10u);
    i = extractBits(i, 5u, 10u);
    i2 = extractBits(i2, 5u, 10u);
    i3 = extractBits(i3, 5u, 10u);
    i4 = extractBits(i4, 5u, 10u);
    u = extractBits(u, 5u, 10u);
    u2 = extractBits(u2, 5u, 10u);
    u3 = extractBits(u3, 5u, 10u);
    u4 = extractBits(u4, 5u, 10u);
    i = firstTrailingBit(i);
    u2 = firstTrailingBit(u2);
    i3 = firstLeadingBit(i3);
    u = firstLeadingBit(u);
    i = countOneBits(i);
    i2 = countOneBits(i2);
    i3 = countOneBits(i3);
    i4 = countOneBits(i4);
    u = countOneBits(u);
    u2 = countOneBits(u2);
    u3 = countOneBits(u3);
    u4 = countOneBits(u4);
    i = reverseBits(i);
    i2 = reverseBits(i2);
    i3 = reverseBits(i3);
    i4 = reverseBits(i4);
    u = reverseBits(u);
    u2 = reverseBits(u2);
    u3 = reverseBits(u3);
    u4 = reverseBits(u4);
}


================================================
FILE: lib/naga/tests/in/boids.param.ron
================================================
(
	spv: (
		version: (1, 0),
		debug: true,
		adjust_coordinate_space: false,
	),
	msl: (
		lang_version: (2, 0),
		per_stage_map: (
			cs: (
				resources: {
					(group: 0, binding: 0): (buffer: Some(0), mutable: false),
					(group: 0, binding: 1): (buffer: Some(1), mutable: true),
					(group: 0, binding: 2): (buffer: Some(2), mutable: true),
				},
				sizes_buffer: Some(3),
			)
		),
		inline_samplers: [],
		spirv_cross_compatibility: false,
		fake_missing_bindings: false,
	),
)


================================================
FILE: lib/naga/tests/in/boids.wgsl
================================================
let NUM_PARTICLES: u32 = 1500u;

struct Particle {
  pos : vec2<f32>,
  vel : vec2<f32>,
}

struct SimParams {
  deltaT : f32,
  rule1Distance : f32,
  rule2Distance : f32,
  rule3Distance : f32,
  rule1Scale : f32,
  rule2Scale : f32,
  rule3Scale : f32,
}

struct Particles {
  particles : array<Particle>
}

@group(0) @binding(0) var<uniform> params : SimParams;
@group(0) @binding(1) var<storage> particlesSrc : Particles;
@group(0) @binding(2) var<storage,read_write> particlesDst : Particles;

// https://github.com/austinEng/Project6-Vulkan-Flocking/blob/master/data/shaders/computeparticles/particle.comp
@compute @workgroup_size(64)
fn main(@builtin(global_invocation_id) global_invocation_id : vec3<u32>) {
  let index : u32 = global_invocation_id.x;
  if index >= NUM_PARTICLES {
    return;
  }

  var vPos = particlesSrc.particles[index].pos;
  var vVel = particlesSrc.particles[index].vel;

  var cMass = vec2<f32>(0.0, 0.0);
  var cVel = vec2<f32>(0.0, 0.0);
  var colVel = vec2<f32>(0.0, 0.0);
  var cMassCount : i32 = 0;
  var cVelCount : i32 = 0;

  var pos : vec2<f32>;
  var vel : vec2<f32>;
  var i : u32 = 0u;
  loop {
    if i >= NUM_PARTICLES {
      break;
    }
    if i == index {
      continue;
    }

    pos = particlesSrc.particles[i].pos;
    vel = particlesSrc.particles[i].vel;

    if distance(pos, vPos) < params.rule1Distance {
      cMass = cMass + pos;
      cMassCount = cMassCount + 1;
    }
    if distance(pos, vPos) < params.rule2Distance {
      colVel = colVel - (pos - vPos);
    }
    if distance(pos, vPos) < params.rule3Distance {
      cVel = cVel + vel;
      cVelCount = cVelCount + 1;
    }

    continuing {
      i = i + 1u;
    }
  }
  if cMassCount > 0 {
    cMass = cMass / f32(cMassCount) - vPos;
  }
  if cVelCount > 0 {
    cVel = cVel / f32(cVelCount);
  }

  vVel = vVel + (cMass * params.rule1Scale) +
      (colVel * params.rule2Scale) +
      (cVel * params.rule3Scale);

  // clamp velocity for a more pleasing simulation
  vVel = normalize(vVel) * clamp(length(vVel), 0.0, 0.1);

  // kinematic update
  vPos = vPos + (vVel * params.deltaT);

  // Wrap around boundary
  if vPos.x < -1.0 {
    vPos.x = 1.0;
  }
  if vPos.x > 1.0 {
    vPos.x = -1.0;
  }
  if vPos.y < -1.0 {
    vPos.y = 1.0;
  }
  if vPos.y > 1.0 {
    vPos.y = -1.0;
  }

  // Write back
  particlesDst.particles[index].pos = vPos;
  particlesDst.particles[index].vel = vVel;
}


================================================
FILE: lib/naga/tests/in/bounds-check-image-restrict.param.ron
================================================
(
	bounds_check_policies: (
		image: Restrict,
	),
	spv: (
		version: (1, 1),
		debug: true,
	),
	glsl: (
		version: Desktop(430),
		writer_flags: (bits: 0),
		binding_map: { },
	),
)


================================================
FILE: lib/naga/tests/in/bounds-check-image-restrict.wgsl
================================================
@group(0) @binding(0)
var image_1d: texture_1d<f32>;

fn test_textureLoad_1d(coords: i32, level: i32) -> vec4<f32> {
   return textureLoad(image_1d, coords, level);
}

@group(0) @binding(1)
var image_2d: texture_2d<f32>;

fn test_textureLoad_2d(coords: vec2<i32>, level: i32) -> vec4<f32> {
   return textureLoad(image_2d, coords, level);
}

@group(0) @binding(2)
var image_2d_array: texture_2d_array<f32>;

fn test_textureLoad_2d_array(coords: vec2<i32>, index: i32, level: i32) -> vec4<f32> {
   return textureLoad(image_2d_array, coords, index, level);
}

@group(0) @binding(3)
var image_3d: texture_3d<f32>;

fn test_textureLoad_3d(coords: vec3<i32>, level: i32) -> vec4<f32> {
   return textureLoad(image_3d, coords, level);
}

@group(0) @binding(4)
var image_multisampled_2d: texture_multisampled_2d<f32>;

fn test_textureLoad_multisampled_2d(coords: vec2<i32>, _sample: i32) -> vec4<f32> {
   return textureLoad(image_multisampled_2d, coords, _sample);
}

@group(0) @binding(5)
var image_depth_2d: texture_depth_2d;

fn test_textureLoad_depth_2d(coords: vec2<i32>, level: i32) -> f32 {
   return textureLoad(image_depth_2d, coords, level);
}

@group(0) @binding(6)
var image_depth_2d_array: texture_depth_2d_array;

fn test_textureLoad_depth_2d_array(coords: vec2<i32>, index: i32, level: i32) -> f32 {
   return textureLoad(image_depth_2d_array, coords, index, level);
}

@group(0) @binding(7)
var image_depth_multisampled_2d: texture_depth_multisampled_2d;

fn test_textureLoad_depth_multisampled_2d(coords: vec2<i32>, _sample: i32) -> f32 {
   return textureLoad(image_depth_multisampled_2d, coords, _sample);
}

@group(0) @binding(8)
var image_storage_1d: texture_storage_1d<rgba8unorm, write>;

fn test_textureStore_1d(coords: i32, value: vec4<f32>) {
    textureStore(image_storage_1d, coords, value);
}

@group(0) @binding(9)
var image_storage_2d: texture_storage_2d<rgba8unorm, write>;

fn test_textureStore_2d(coords: vec2<i32>, value: vec4<f32>) {
    textureStore(image_storage_2d, coords, value);
}

@group(0) @binding(10)
var image_storage_2d_array: texture_storage_2d_array<rgba8unorm, write>;

fn test_textureStore_2d_array(coords: vec2<i32>, array_index: i32, value: vec4<f32>) {
 textureStore(image_storage_2d_array, coords, array_index, value);
}

@group(0) @binding(11)
var image_storage_3d: texture_storage_3d<rgba8unorm, write>;

fn test_textureStore_3d(coords: vec3<i32>, value: vec4<f32>) {
    textureStore(image_storage_3d, coords, value);
}

// GLSL output requires that we identify an entry point, so
// that it can tell what "in" and "out" globals to write.
@fragment
fn fragment_shader() -> @location(0) vec4<f32> {
    test_textureLoad_1d(0, 0);
    test_textureLoad_2d(vec2<i32>(), 0);
    test_textureLoad_2d_array(vec2<i32>(), 0, 0);
    test_textureLoad_3d(vec3<i32>(), 0);
    test_textureLoad_multisampled_2d(vec2<i32>(), 0);
    // Not yet implemented for GLSL:
    // test_textureLoad_depth_2d(vec2<i32>(), 0);
    // test_textureLoad_depth_2d_array(vec2<i32>(), 0, 0);
    // test_textureLoad_depth_multisampled_2d(vec2<i32>(), 0);
    test_textureStore_1d(0, vec4<f32>());
    test_textureStore_2d(vec2<i32>(), vec4<f32>());
    test_textureStore_2d_array(vec2<i32>(), 0, vec4<f32>());
    test_textureStore_3d(vec3<i32>(), vec4<f32>());

    return vec4<f32>(0.,0.,0.,0.);
}


================================================
FILE: lib/naga/tests/in/bounds-check-image-rzsw.param.ron
================================================
(
	bounds_check_policies: (
		image: ReadZeroSkipWrite,
	),
	spv: (
		version: (1, 1),
		debug: true,
	),
	glsl: (
		version: Desktop(430),
		writer_flags: (bits: 0),
		binding_map: { },
	),
)


================================================
FILE: lib/naga/tests/in/bounds-check-image-rzsw.wgsl
================================================
@group(0) @binding(0)
var image_1d: texture_1d<f32>;

fn test_textureLoad_1d(coords: i32, level: i32) -> vec4<f32> {
   return textureLoad(image_1d, coords, level);
}

@group(0) @binding(1)
var image_2d: texture_2d<f32>;

fn test_textureLoad_2d(coords: vec2<i32>, level: i32) -> vec4<f32> {
   return textureLoad(image_2d, coords, level);
}

@group(0) @binding(2)
var image_2d_array: texture_2d_array<f32>;

fn test_textureLoad_2d_array(coords: vec2<i32>, index: i32, level: i32) -> vec4<f32> {
   return textureLoad(image_2d_array, coords, index, level);
}

@group(0) @binding(3)
var image_3d: texture_3d<f32>;

fn test_textureLoad_3d(coords: vec3<i32>, level: i32) -> vec4<f32> {
   return textureLoad(image_3d, coords, level);
}

@group(0) @binding(4)
var image_multisampled_2d: texture_multisampled_2d<f32>;

fn test_textureLoad_multisampled_2d(coords: vec2<i32>, _sample: i32) -> vec4<f32> {
   return textureLoad(image_multisampled_2d, coords, _sample);
}

@group(0) @binding(5)
var image_depth_2d: texture_depth_2d;

fn test_textureLoad_depth_2d(coords: vec2<i32>, level: i32) -> f32 {
   return textureLoad(image_depth_2d, coords, level);
}

@group(0) @binding(6)
var image_depth_2d_array: texture_depth_2d_array;

fn test_textureLoad_depth_2d_array(coords: vec2<i32>, index: i32, level: i32) -> f32 {
   return textureLoad(image_depth_2d_array, coords, index, level);
}

@group(0) @binding(7)
var image_depth_multisampled_2d: texture_depth_multisampled_2d;

fn test_textureLoad_depth_multisampled_2d(coords: vec2<i32>, _sample: i32) -> f32 {
   return textureLoad(image_depth_multisampled_2d, coords, _sample);
}

@group(0) @binding(8)
var image_storage_1d: texture_storage_1d<rgba8unorm, write>;

fn test_textureStore_1d(coords: i32, value: vec4<f32>) {
    textureStore(image_storage_1d, coords, value);
}

@group(0) @binding(9)
var image_storage_2d: texture_storage_2d<rgba8unorm, write>;

fn test_textureStore_2d(coords: vec2<i32>, value: vec4<f32>) {
    textureStore(image_storage_2d, coords, value);
}

@group(0) @binding(10)
var image_storage_2d_array: texture_storage_2d_array<rgba8unorm, write>;

fn test_textureStore_2d_array(coords: vec2<i32>, array_index: i32, value: vec4<f32>) {
 textureStore(image_storage_2d_array, coords, array_index, value);
}

@group(0) @binding(11)
var image_storage_3d: texture_storage_3d<rgba8unorm, write>;

fn test_textureStore_3d(coords: vec3<i32>, value: vec4<f32>) {
    textureStore(image_storage_3d, coords, value);
}

// GLSL output requires that we identify an entry point, so
// that it can tell what "in" and "out" globals to write.
@fragment
fn fragment_shader() -> @location(0) vec4<f32> {
    test_textureLoad_1d(0, 0);
    test_textureLoad_2d(vec2<i32>(), 0);
    test_textureLoad_2d_array(vec2<i32>(), 0, 0);
    test_textureLoad_3d(vec3<i32>(), 0);
    test_textureLoad_multisampled_2d(vec2<i32>(), 0);
    // Not yet implemented for GLSL:
    // test_textureLoad_depth_2d(vec2<i32>(), 0);
    // test_textureLoad_depth_2d_array(vec2<i32>(), 0, 0);
    // test_textureLoad_depth_multisampled_2d(vec2<i32>(), 0);
    test_textureStore_1d(0, vec4<f32>());
    test_textureStore_2d(vec2<i32>(), vec4<f32>());
    test_textureStore_2d_array(vec2<i32>(), 0, vec4<f32>());
    test_textureStore_3d(vec3<i32>(), vec4<f32>());

    return vec4<f32>(0.,0.,0.,0.);
}


================================================
FILE: lib/naga/tests/in/bounds-check-restrict.param.ron
================================================
(
	bounds_check_policies: (
		index: Restrict,
		buffer: Restrict,
	),
)


================================================
FILE: lib/naga/tests/in/bounds-check-restrict.wgsl
================================================
// Tests for `naga::back::BoundsCheckPolicy::Restrict`.

struct Globals {
    a: array<f32, 10>,
    v: vec4<f32>,
    m: mat3x4<f32>,
    d: array<f32>,
}

@group(0) @binding(0) var<storage, read_write> globals: Globals;

fn index_array(i: i32) -> f32 {
   return globals.a[i];
}

fn index_dynamic_array(i: i32) -> f32 {
   return globals.d[i];
}

fn index_vector(i: i32) -> f32 {
   return globals.v[i];
}

fn index_vector_by_value(v: vec4<f32>, i: i32) -> f32 {
   return v[i];
}

fn index_matrix(i: i32) -> vec4<f32> {
   return globals.m[i];
}

fn index_twice(i: i32, j: i32) -> f32 {
   return globals.m[i][j];
}

fn index_expensive(i: i32) -> f32 {
   return globals.a[i32(sin(f32(i) / 100.0) * 100.0)];
}

fn index_in_bounds() -> f32 {
   return globals.a[9] + globals.v[3] + globals.m[2][3];
}

fn set_array(i: i32, v: f32) {
   globals.a[i] = v;
}

fn set_dynamic_array(i: i32, v: f32) {
   globals.d[i] = v;
}

fn set_vector(i: i32, v: f32) {
   globals.v[i] = v;
}

fn set_matrix(i: i32, v: vec4<f32>) {
   globals.m[i] = v;
}

fn set_index_twice(i: i32, j: i32, v: f32) {
   globals.m[i][j] = v;
}

fn set_expensive(i: i32, v: f32) {
   globals.a[i32(sin(f32(i) / 100.0) * 100.0)] = v;
}

fn set_in_bounds(v: f32) {
   globals.a[9] = v;
   globals.v[3] = v;
   globals.m[2][3] = v;
}


================================================
FILE: lib/naga/tests/in/bounds-check-zero-atomic.param.ron
================================================
(
	bounds_check_policies: (
		index: ReadZeroSkipWrite,
		buffer: ReadZeroSkipWrite,
	),
)


================================================
FILE: lib/naga/tests/in/bounds-check-zero-atomic.wgsl
================================================
// Tests for `naga::back::BoundsCheckPolicy::ReadZeroSkipWrite` for atomic types.

// These are separate from `bounds-check-zero.wgsl because SPIR-V does not yet
// support `ReadZeroSkipWrite` for atomics. Once it does, the test files could
// be combined.

struct Globals {
    a: atomic<u32>,
    b: array<atomic<u32>, 10>,
    c: array<atomic<u32>>,
}

@group(0) @binding(0) var<storage, read_write> globals: Globals;

fn fetch_add_atomic() -> u32 {
   return atomicAdd(&globals.a, 1u);
}

fn fetch_add_atomic_static_sized_array(i: i32) -> u32 {
   return atomicAdd(&globals.b[i], 1u);
}

fn fetch_add_atomic_dynamic_sized_array(i: i32) -> u32 {
   return atomicAdd(&globals.c[i], 1u);
}


================================================
FILE: lib/naga/tests/in/bounds-check-zero.param.ron
================================================
(
	bounds_check_policies: (
		index: ReadZeroSkipWrite,
		buffer: ReadZeroSkipWrite,
	),
)


================================================
FILE: lib/naga/tests/in/bounds-check-zero.wgsl
================================================
// Tests for `naga::back::BoundsCheckPolicy::ReadZeroSkipWrite`.

struct Globals {
    a: array<f32, 10>,
    v: vec4<f32>,
    m: mat3x4<f32>,
    d: array<f32>,
}

@group(0) @binding(0) var<storage, read_write> globals: Globals;

fn index_array(i: i32) -> f32 {
   return globals.a[i];
}

fn index_dynamic_array(i: i32) -> f32 {
   return globals.d[i];
}

fn index_vector(i: i32) -> f32 {
   return globals.v[i];
}

fn index_vector_by_value(v: vec4<f32>, i: i32) -> f32 {
   return v[i];
}

fn index_matrix(i: i32) -> vec4<f32> {
   return globals.m[i];
}

fn index_twice(i: i32, j: i32) -> f32 {
   return globals.m[i][j];
}

fn index_expensive(i: i32) -> f32 {
   return globals.a[i32(sin(f32(i) / 100.0) * 100.0)];
}

fn index_in_bounds() -> f32 {
   return globals.a[9] + globals.v[3] + globals.m[2][3];
}

fn set_array(i: i32, v: f32) {
   globals.a[i] = v;
}

fn set_dynamic_array(i: i32, v: f32) {
   globals.d[i] = v;
}

fn set_vector(i: i32, v: f32) {
   globals.v[i] = v;
}

fn set_matrix(i: i32, v: vec4<f32>) {
   globals.m[i] = v;
}

fn set_index_twice(i: i32, j: i32, v: f32) {
   globals.m[i][j] = v;
}

fn set_expensive(i: i32, v: f32) {
   globals.a[i32(sin(f32(i) / 100.0) * 100.0)] = v;
}

fn set_in_bounds(v: f32) {
   globals.a[9] = v;
   globals.v[3] = v;
   globals.m[2][3] = v;
}


================================================
FILE: lib/naga/tests/in/break-if.wgsl
================================================
@compute @workgroup_size(1)
fn main() {}

fn breakIfEmpty() {
    loop {
        continuing {
            break if true;
        }
    }
}

fn breakIfEmptyBody(a: bool) {
    loop {
        continuing {
            var b = a;
            var c = a != b;

            break if a == c;
        }
    }
}

fn breakIf(a: bool) {
    loop {
        var d = a;
        var e = a != d;

        continuing {
            break if a == e;
        }
    }
}


================================================
FILE: lib/naga/tests/in/collatz.param.ron
================================================
(
	spv: (
		version: (1, 0),
		debug: true,
	),
)


================================================
FILE: lib/naga/tests/in/collatz.wgsl
================================================
struct PrimeIndices {
    data: array<u32>
} // this is used as both input and output for convenience

@group(0) @binding(0)
var<storage,read_write> v_indices: PrimeIndices;

// The Collatz Conjecture states that for any integer n:
// If n is even, n = n/2
// If n is odd, n = 3n+1
// And repeat this process for each new n, you will always eventually reach 1.
// Though the conjecture has not been proven, no counterexample has ever been found.
// This function returns how many times this recurrence needs to be applied to reach 1.
fn collatz_iterations(n_base: u32) -> u32 {
    var n = n_base;
    var i: u32 = 0u;
    while n > 1u {
        if n % 2u == 0u {
            n = n / 2u;
        }
        else {
            n = 3u * n + 1u;
        }
        i = i + 1u;
    }
    return i;
}

@compute @workgroup_size(1)
fn main(@builtin(global_invocation_id) global_id: vec3<u32>) {
    v_indices.data[global_id.x] = collatz_iterations(v_indices.data[global_id.x]);
}


================================================
FILE: lib/naga/tests/in/control-flow.param.ron
================================================
(
)


================================================
FILE: lib/naga/tests/in/control-flow.wgsl
================================================
@compute @workgroup_size(1)
fn main(@builtin(global_invocation_id) global_id: vec3<u32>) {
    //TODO: execution-only barrier?
    storageBarrier();
    workgroupBarrier();

    var pos: i32;
    // switch without cases
    switch 1 {
        default: {
            pos = 1;
        }
    }

    // non-empty switch *not* in last-statement-in-function position
    // (return statements might be inserted into the switch cases otherwise)
    switch pos {
        case 1: {
            pos = 0;
            break;
        }
        case 2: {
            pos = 1;
        }
        case 3: {
            pos = 2;
            fallthrough;
        }
        case 4: {
            pos = 3;
            fallthrough;
        }
        default: {
            pos = 4;
        }
    }

	// switch with unsigned integer selectors
	switch(0u) {
		case 0u: {
		}
        default: {
        }
	}

    // non-empty switch in last-statement-in-function position
    switch pos {
        case 1: {
            pos = 0;
            break;
        }
        case 2: {
            pos = 1;
        }
        case 3: {
            pos = 2;
            fallthrough;
        }
        case 4: {}
        default: {
            pos = 3;
        }
    }
}

fn switch_default_break(i: i32) {
    switch i {
        default: {
            break;
        }
    }
}

fn switch_case_break() {
    switch(0) {
        case 0: {
            break;
        }
        default: {}
    }
    return;
}

fn loop_switch_continue(x: i32) {
    loop {
        switch x {
            case 1: {
                continue;
            }
            default: {}
        }
    }
}


================================================
FILE: lib/naga/tests/in/cubeArrayShadow.wgsl
================================================
@group(0) @binding(4)
var point_shadow_textures: texture_depth_cube_array;
@group(0) @binding(5)
var point_shadow_textures_sampler: sampler_comparison;

@fragment
fn fragment() -> @location(0) vec4<f32> {
    let frag_ls = vec4<f32>(1., 1., 2., 1.).xyz;
    let a = textureSampleCompare(point_shadow_textures, point_shadow_textures_sampler, frag_ls, i32(1), 1.);

    return vec4<f32>(a, 1., 1., 1.);
}


================================================
FILE: lib/naga/tests/in/empty.param.ron
================================================
(
)


================================================
FILE: lib/naga/tests/in/empty.wgsl
================================================
@compute @workgroup_size(1)
fn main() {}


================================================
FILE: lib/naga/tests/in/extra.param.ron
================================================
(
	god_mode: true,
	spv: (
		version: (1, 2),
	),
	msl: (
		lang_version: (2, 2),
		per_stage_map: (
			fs: (
				push_constant_buffer: Some(1),
			),
		),
		inline_samplers: [],
		spirv_cross_compatibility: false,
		fake_missing_bindings: false,
	),
)


================================================
FILE: lib/naga/tests/in/extra.wgsl
================================================
struct PushConstants {
    index: u32,
    double: vec2<f64>,
}
var<push_constant> pc: PushConstants;

struct FragmentIn {
    @location(0) color: vec4<f32>,
    @builtin(primitive_index) primitive_index: u32,
}

@fragment
fn main(in: FragmentIn) -> @location(0) vec4<f32> {
    if in.primitive_index == pc.index {
        return in.color;
    } else {
        return vec4<f32>(vec3<f32>(1.0) - in.color.rgb, in.color.a);
    }
}


================================================
FILE: lib/naga/tests/in/functions-webgl.param.ron
================================================
(
	glsl: (
		version: Embedded(
			version: 300,
			is_webgl: false
		),
		writer_flags: (bits: 0),
		binding_map: {},
	),
)


================================================
FILE: lib/naga/tests/in/functions-webgl.wgsl
================================================
fn test_fma() -> vec2<f32> {
    let a = vec2<f32>(2.0, 2.0);
    let b = vec2<f32>(0.5, 0.5);
    let c = vec2<f32>(0.5, 0.5);

    return fma(a, b, c);
}


@vertex
fn main() {
    let a = test_fma();
}


================================================
FILE: lib/naga/tests/in/functions.param.ron
================================================
(
)


================================================
FILE: lib/naga/tests/in/functions.wgsl
================================================
fn test_fma() -> vec2<f32> {
    let a = vec2<f32>(2.0, 2.0);
    let b = vec2<f32>(0.5, 0.5);
    let c = vec2<f32>(0.5, 0.5);

    // Hazard: HLSL needs a different intrinsic function for f32 and f64
    // See: https://github.com/gfx-rs/naga/issues/1579
    return fma(a, b, c);
}

fn test_integer_dot_product() -> i32 {
    let a_2 = vec2<i32>(1);
    let b_2 = vec2<i32>(1);
    let c_2: i32 = dot(a_2, b_2);

    let a_3 = vec3<u32>(1u);
    let b_3 = vec3<u32>(1u);
    let c_3: u32 = dot(a_3, b_3);

    // test baking of arguments
    let c_4: i32 = dot(vec4<i32>(4), vec4<i32>(2));
    return c_4;
}

@compute @workgroup_size(1)
fn main() {
    let a = test_fma();
    let b = test_integer_dot_product();
}


================================================
FILE: lib/naga/tests/in/globals.param.ron
================================================
(
)


================================================
FILE: lib/naga/tests/in/globals.wgsl
================================================
// Global variable & constant declarations

let Foo: bool = true;

var<workgroup> wg : array<f32, 10u>;
var<workgroup> at: atomic<u32>;

struct Foo {
    v3: vec3<f32>,
    // test packed vec3
    v1: f32,
}
@group(0) @binding(1)
var<storage, read_write> alignment: Foo;

@group(0) @binding(2)
var<storage> dummy: array<vec2<f32>>;

@group(0) @binding(3)
var<uniform> float_vecs: array<vec4<f32>, 20>;

@group(0) @binding(4)
var<uniform> global_vec: vec3<f32>;

@group(0) @binding(5)
var<uniform> global_mat: mat3x2<f32>;

@group(0) @binding(6)
var<uniform> global_nested_arrays_of_matrices_2x4: array<array<mat2x4<f32>, 2>, 2>;

@group(0) @binding(7)
var<uniform> global_nested_arrays_of_matrices_4x2: array<array<mat4x2<f32>, 2>, 2>;

fn test_msl_packed_vec3_as_arg(arg: vec3<f32>) {}

fn test_msl_packed_vec3() {
    // stores
    alignment.v3 = vec3<f32>(1.0);
    var idx = 1;
    alignment.v3.x = 1.0;
    alignment.v3[0] = 2.0;
    alignment.v3[idx] = 3.0;

    // force load to happen here
    let data = alignment;

    // loads
    _ = data.v3;
    _ = data.v3.zx;
    test_msl_packed_vec3_as_arg(data.v3);

    // matrix vector multiplication
    _ = data.v3 * mat3x3<f32>();
    _ = mat3x3<f32>() * data.v3;

    // scalar vector multiplication
    _ = data.v3 * 2.0;
    _ = 2.0 * data.v3;
}

@compute @workgroup_size(1)
fn main() {
    test_msl_packed_vec3();

    wg[7] = (global_nested_arrays_of_matrices_4x2[0][0] * global_nested_arrays_of_matrices_2x4[0][0][0]).x;
    wg[6] = (global_mat * global_vec).x;
    wg[5] = dummy[1].y;
    wg[4] = float_vecs[0].w;
    wg[3] = alignment.v1;
    wg[2] = alignment.v3.x;
    alignment.v1 = 4.0;
    wg[1] = f32(arrayLength(&dummy));
    atomicStore(&at, 2u);

    // Valid, Foo and at is in function scope
    var Foo: f32 = 1.0;
    var at: bool = true;
}


================================================
FILE: lib/naga/tests/in/glsl/210-bevy-2d-shader.frag
================================================
// AUTHOR: mrk-its
// ISSUE: #210
// FIX: #898
#version 450

layout(location = 0) in vec2 v_Uv;

layout(location = 0) out vec4 o_Target;

layout(set = 1, binding = 0) uniform ColorMaterial_color {
    vec4 Color;
};

# ifdef COLORMATERIAL_TEXTURE
layout(set = 1, binding = 1) uniform texture2D ColorMaterial_texture;
layout(set = 1, binding = 2) uniform sampler ColorMaterial_texture_sampler;
# endif

void main() {
    vec4 color = Color;
# ifdef COLORMATERIAL_TEXTURE
    color *= texture(
        sampler2D(ColorMaterial_texture, ColorMaterial_texture_sampler),
        v_Uv);
# endif
    o_Target = color;
}


================================================
FILE: lib/naga/tests/in/glsl/210-bevy-2d-shader.vert
================================================
// AUTHOR: mrk-its
// ISSUE: #210
// FIX: #898
#version 450

layout(location = 0) in vec3 Vertex_Position;
layout(location = 1) in vec3 Vertex_Normal;
layout(location = 2) in vec2 Vertex_Uv;

layout(location = 0) out vec2 v_Uv;

layout(set = 0, binding = 0) uniform Camera {
    mat4 ViewProj;
};

layout(set = 2, binding = 0) uniform Transform {
    mat4 Model;
};
layout(set = 2, binding = 1) uniform Sprite_size {
    vec2 size;
};

void main() {
    v_Uv = Vertex_Uv;
    vec3 position = Vertex_Position * vec3(size, 1.0);
    gl_Position = ViewProj * Model * vec4(position, 1.0);
}


================================================
FILE: lib/naga/tests/in/glsl/210-bevy-shader.vert
================================================
// AUTHOR: enfipy
// ISSUE: #210
// FIX: #898
#version 450

layout(location = 0) in vec3 Vertex_Position;
layout(location = 1) in vec3 Vertex_Normal;
layout(location = 2) in vec2 Vertex_Uv;

layout(location = 0) out vec3 v_Position;
layout(location = 1) out vec3 v_Normal;
layout(location = 2) out vec2 v_Uv;

layout(set = 0, binding = 0) uniform Camera {
    mat4 ViewProj;
};

layout(set = 2, binding = 0) uniform Transform {
    mat4 Model;
};

void main() {
    v_Normal = (Model * vec4(Vertex_Normal, 1.0)).xyz;
    v_Normal = mat3(Model) * Vertex_Normal;
    v_Position = (Model * vec4(Vertex_Position, 1.0)).xyz;
    v_Uv = Vertex_Uv;
    gl_Position = ViewProj * vec4(v_Position, 1.0);
}


================================================
FILE: lib/naga/tests/in/glsl/246-collatz.comp
================================================
// AUTHOR: Unknown
// ISSUE: #246
// NOTE: Taken from the wgpu repo
#version 450
layout(local_size_x = 1) in;

layout(set = 0, binding = 0) buffer PrimeIndices {
    uint[] indices;
}; // this is used as both input and output for convenience

// The Collatz Conjecture states that for any integer n:
// If n is even, n = n/2
// If n is odd, n = 3n+1
// And repeat this process for each new n, you will always eventually reach 1.
// Though the conjecture has not been proven, no counterexample has ever been found.
// This function returns how many times this recurrence needs to be applied to reach 1.
uint collatz_iterations(uint n) {
    uint i = 0;
    while(n != 1) {
        if (mod(n, 2) == 0) {
            n = n / 2;
        }
        else {
            n = (3 * n) + 1;
        }
        i++;
    }
    return i;
}

void main() {
    uint index = gl_GlobalInvocationID.x;
    indices[index] = collatz_iterations(indices[index]);
}


================================================
FILE: lib/naga/tests/in/glsl/277-casting.vert
================================================
// AUTHOR: Napokue
// ISSUE: #277
// FIX: #278
#version 450

void main() {
    float a = float(1);
}


================================================
FILE: lib/naga/tests/in/glsl/280-matrix-cast.vert
================================================
// AUTHOR: pjoe
// ISSUE: #280
// FIX: #898
#version 450

void main() {
    mat4 a = mat4(1);
}


================================================
FILE: lib/naga/tests/in/glsl/484-preprocessor-if.vert
================================================
// AUTHOR: fintelia
// ISSUE: #484
// FIX: https://github.com/Kangz/glslpp-rs/pull/30
// NOTE: Shader altered to use correct syntax
#version 450 core

#if 0
#endif

void main() { }


================================================
FILE: lib/naga/tests/in/glsl/800-out-of-bounds-panic.vert
================================================
// AUTHOR: Herschel
// ISSUE: #800
// FIX: #901
#version 450

// Set 0: globals
layout(set = 0, binding = 0) uniform Globals {
    mat4 view_matrix;
};

// Push constants: matrix + color
layout(push_constant) uniform VertexPushConstants {
    mat4 world_matrix;
};

layout(location = 0) in vec2 position;
layout(location = 1) in vec4 color;

layout(location = 0) out vec4 frag_color;

void main() {
    frag_color = color;
    gl_Position = view_matrix * world_matrix * vec4(position, 0.0, 1.0);
    gl_Position.z = (gl_Position.z + gl_Position.w) / 2.0;
}


================================================
FILE: lib/naga/tests/in/glsl/896-push-constant.vert
================================================
// AUTHOR: Foltik
// ISSUE: #896
// FIX: #897
#version 450

layout(push_constant) uniform PushConstants {
    float example;
} c;

void main() {}


================================================
FILE: lib/naga/tests/in/glsl/900-implicit-conversions.vert
================================================
// ISSUE: #900
#version 450

// Signature match call the second overload
void exact(float a) {}
void exact(int a) {}

// No signature match but one overload satisfies the cast rules
void implicit(float a) {}
void implicit(int a) {}

// All satisfy the kind condition but they have different dimensions
void implicit_dims(float v) {  }
void implicit_dims(vec2 v) {  }
void implicit_dims(vec3 v) {  }
void implicit_dims(vec4 v) {  }

void main() {
  exact(1);
  implicit(1u);
  implicit_dims(ivec3(1));
}


================================================
FILE: lib/naga/tests/in/glsl/901-lhs-field-select.vert
================================================
// AUTHOR: JCapucho
// ISSUE: #901
// FIX: #948
#version 450

void main() {
    vec4 a = vec4(1.0);
    a.x = 2.0;
}


================================================
FILE: lib/naga/tests/in/glsl/931-constant-emitting.vert
================================================
// AUTHOR: jakobhellermann
// ISSUE: #931
// FIX: #933
#version 450

const int constant = 10;

float function() {
    return 0.0;
}

void main() {}


================================================
FILE: lib/naga/tests/in/glsl/932-for-loop-if.vert
================================================
// AUTHOR: jakobhellermann
// ISSUE: #932
// FIX: #935
#version 450

void main() {
    for (int i = 0; i < 1; i += 1) {}
}


================================================
FILE: lib/naga/tests/in/glsl/bevy-pbr.frag
================================================
// MIT License
//
// Copyright (c) 2020 Carter Anderson
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
//
// NOTE: Taken from the bevy repo
#version 450

const int MAX_POINT_LIGHTS = 10;
const int MAX_DIRECTIONAL_LIGHTS = 1;

struct PointLight {
    vec4 pos;
    vec4 color;
    vec4 lightParams;
};
 
struct DirectionalLight {
    vec4 direction;
    vec4 color;
};

layout(location = 0) in vec3 v_WorldPosition;
layout(location = 1) in vec3 v_WorldNormal;
layout(location = 2) in vec2 v_Uv;
layout(location = 3) in vec4 v_WorldTangent;

layout(location = 0) out vec4 o_Target;

layout(set = 0, binding = 0) uniform CameraViewProj {
    mat4 ViewProj;
};
layout(std140, set = 0, binding = 1) uniform CameraPosition {
    vec4 CameraPos;
};

layout(std140, set = 1, binding = 0) uniform Lights {
    vec4 AmbientColor;
    uvec4 NumLights; // x = point lights, y = directional lights
    PointLight PointLights[MAX_POINT_LIGHTS];
    DirectionalLight DirectionalLights[MAX_DIRECTIONAL_LIGHTS];
};

layout(set = 3, binding = 0) uniform StandardMaterial_base_color {
    vec4 base_color;
};

layout(set = 3, binding = 1) uniform texture2D StandardMaterial_base_color_texture;
layout(set = 3,
       binding = 2) uniform sampler StandardMaterial_base_color_texture_sampler;

layout(set = 3, binding = 3) uniform StandardMaterial_roughness {
    float perceptual_roughness;
};

layout(set = 3, binding = 4) uniform StandardMaterial_metallic {
    float metallic;
};

layout(set = 3, binding = 5) uniform texture2D StandardMaterial_metallic_roughness_texture;
layout(set = 3,
       binding = 6) uniform sampler StandardMaterial_metallic_roughness_texture_sampler;

layout(set = 3, binding = 7) uniform StandardMaterial_reflectance {
    float reflectance;
};

layout(set = 3, binding = 8) uniform texture2D StandardMaterial_normal_map;
layout(set = 3,
       binding = 9) uniform sampler StandardMaterial_normal_map_sampler;

layout(set = 3, binding = 10) uniform texture2D StandardMaterial_occlusion_texture;
layout(set = 3,
       binding = 11) uniform sampler StandardMaterial_occlusion_texture_sampler;

layout(set = 3, binding = 12) uniform StandardMaterial_emissive {
    vec4 emissive;
};

layout(set = 3, binding = 13) uniform texture2D StandardMaterial_emissive_texture;
layout(set = 3,
       binding = 14) uniform sampler StandardMaterial_emissive_texture_sampler;

#    define saturate(x) clamp(x, 0.0, 1.0)
const float PI = 3.141592653589793;

float pow5(float x) {
    float x2 = x * x;
    return x2 * x2 * x;
}

// distanceAttenuation is simply the square falloff of light intensity
// combined with a smooth attenuation at the edge of the light radius
//
// light radius is a non-physical construct for efficiency purposes,
// because otherwise every light affects every fragment in the scene
float getDistanceAttenuation(float distanceSquare, float inverseRangeSquared) {
    float factor = distanceSquare * inverseRangeSquared;
    float smoothFactor = saturate(1.0 - factor * factor);
    float attenuation = smoothFactor * smoothFactor;
    return attenuation * 1.0 / max(distanceSquare, 1e-3);
}

// Normal distribution function (specular D)
// Based on https://google.github.io/filament/Filament.html#citation-walter07

// D_GGX(h,α) = α^2 / { π ((n⋅h)^2 (α2−1) + 1)^2 }

// Simple implementation, has precision problems when using fp16 instead of fp32
// see https://google.github.io/filament/Filament.html#listing_speculardfp16
float D_GGX(float roughness, float NoH, const vec3 h) {
    float oneMinusNoHSquared = 1.0 - NoH * NoH;
    float a = NoH * roughness;
    float k = roughness / (oneMinusNoHSquared + a * a);
    float d = k * k * (1.0 / PI);
    return d;
}

// Visibility function (Specular G)
// V(v,l,a) = G(v,l,α) / { 4 (n⋅v) (n⋅l) }
// such that f_r becomes
// f_r(v,l) = D(h,α) V(v,l,α) F(v,h,f0)
// where
// V(v,l,α) = 0.5 / { n⋅l sqrt((n⋅v)^2 (1−α2) + α2) + n⋅v sqrt((n⋅l)^2 (1−α2) + α2) }
// Note the two sqrt's, that may be slow on mobile, see https://google.github.io/filament/Filament.html#listing_approximatedspecularv
float V_SmithGGXCorrelated(float roughness, float NoV, float NoL) {
    float a2 = roughness * roughness;
    float lambdaV = NoL * sqrt((NoV - a2 * NoV) * NoV + a2);
    float lambdaL = NoV * sqrt((NoL - a2 * NoL) * NoL + a2);
    float v = 0.5 / (lambdaV + lambdaL);
    return v;
}

// Fresnel function
// see https://google.github.io/filament/Filament.html#citation-schlick94
// F_Schlick(v,h,f_0,f_90) = f_0 + (f_90 − f_0) (1 − v⋅h)^5
vec3 F_Schlick(const vec3 f0, float f90, float VoH) {
    // not using mix to keep the vec3 and float versions identical
    return f0 + (vec3(f90) - f0) * pow5(1.0 - VoH);
}

float F_Schlick(float f0, float f90, float VoH) {
    // not using mix to keep the vec3 and float versions identical
    return f0 + (f90 - f0) * pow5(1.0 - VoH);
}

vec3 fresnel(vec3 f0, float LoH) {
    // f_90 suitable for ambient occlusion
    // see https://google.github.io/filament/Filament.html#lighting/occlusion
    float f90 = saturate(dot(f0, vec3(50.0 * 0.33)));
    return F_Schlick(f0, f90, LoH);
}

// Specular BRDF
// https://google.github.io/filament/Filament.html#materialsystem/specularbrdf

// Cook-Torrance approximation of the microfacet model integration using Fresnel law F to model f_m
// f_r(v,l) = { D(h,α) G(v,l,α) F(v,h,f0) } / { 4 (n⋅v) (n⋅l) }
vec3 specular(vec3 f0, float roughness, const vec3 h, float NoV, float NoL,
              float NoH, float LoH, float specularIntensity) {
    float D = D_GGX(roughness, NoH, h);
    float V = V_SmithGGXCorrelated(roughness, NoV, NoL);
    vec3 F = fresnel(f0, LoH);

    return (specularIntensity * D * V) * F;
}

// Diffuse BRDF
// https://google.github.io/filament/Filament.html#materialsystem/diffusebrdf
// fd(v,l) = σ/π * 1 / { |n⋅v||n⋅l| } ∫Ω D(m,α) G(v,l,m) (v⋅m) (l⋅m) dm

// simplest approximation
// float Fd_Lambert() {
//     return 1.0 / PI;
// }
//
// vec3 Fd = diffuseColor * Fd_Lambert();

// Disney approximation
// See https://google.github.io/filament/Filament.html#citation-burley12
// minimal quality difference
float Fd_Burley(float roughness, float NoV, float NoL, float LoH) {
    float f90 = 0.5 + 2.0 * roughness * LoH * LoH;
    float lightScatter = F_Schlick(1.0, f90, NoL);
    float viewScatter = F_Schlick(1.0, f90, NoV);
    return lightScatter * viewScatter * (1.0 / PI);
}

// From https://www.unrealengine.com/en-US/blog/physically-based-shading-on-mobile
vec3 EnvBRDFApprox(vec3 f0, float perceptual_roughness, float NoV) {
    const vec4 c0 = { -1.0, -0.0275, -0.572, 0.022 };
    const vec4 c1 = { 1.0, 0.0425, 1.04, -0.04 };
    vec4 r = vec4(perceptual_roughness) * c0 + c1;
    float a004 = min(r.x * r.x, exp2(-9.28 * NoV)) * r.x + r.y;
    vec2 AB = vec2(-1.04, 1.04) * vec2(a004) + r.zw;
    return f0 * vec3(AB.x) + vec3(AB.y);
}

float perceptualRoughnessToRoughness(float perceptualRoughness) {
    // clamp perceptual roughness to prevent precision problems
    // According to Filament design 0.089 is recommended for mobile
    // Filament uses 0.045 for non-mobile
    float clampedPerceptualRoughness = clamp(perceptualRoughness, 0.089, 1.0);
    return clampedPerceptualRoughness * clampedPerceptualRoughness;
}

// from https://64.github.io/tonemapping/
// reinhard on RGB oversaturates colors
vec3 reinhard(vec3 color) {
    return color / (vec3(1.0) + color);
}

vec3 reinhard_extended(vec3 color, float max_white) {
    vec3 numerator = color * (vec3(1.0) + (color / vec3(max_white * max_white)));
    return numerator / (vec3(1.0) + color);
}

// luminance coefficients from Rec. 709.
// https://en.wikipedia.org/wiki/Rec._709
float luminance(vec3 v) {
    return dot(v, vec3(0.2126, 0.7152, 0.0722));
}

vec3 change_luminance(vec3 c_in, float l_out) {
    float l_in = luminance(c_in);
    return c_in * (l_out / l_in);
}

vec3 reinhard_luminance(vec3 color) {
    float l_old = luminance(color);
    float l_new = l_old / (1.0f + l_old);
    return change_luminance(color, l_new);
}

vec3 reinhard_extended_luminance(vec3 color, float max_white_l) {
    float l_old = luminance(color);
    float numerator = l_old * (1.0f + (l_old / (max_white_l * max_white_l)));
    float l_new = numerator / (1.0f + l_old);
    return change_luminance(color, l_new);
}

vec3 point_light(PointLight light, float roughness, float NdotV, vec3 N, vec3 V, vec3 R, vec3 F0, vec3 diffuseColor) {
    vec3 light_to_frag = light.pos.xyz - v_WorldPosition.xyz;
    float distance_square = dot(light_to_frag, light_to_frag);
    float rangeAttenuation =
        getDistanceAttenuation(distance_square, light.lightParams.r);

    // Specular.
    // Representative Point Area Lights.
    // see http://blog.selfshadow.com/publications/s2013-shading-course/karis/s2013_pbs_epic_notes_v2.pdf p14-16
    float a = roughness;
    float radius = light.lightParams.g;
    vec3 centerToRay = dot(light_to_frag, R) * R - light_to_frag;
    vec3 closestPoint = light_to_frag + centerToRay * saturate(radius * inversesqrt(dot(centerToRay, centerToRay)));
    float LspecLengthInverse = inversesqrt(dot(closestPoint, closestPoint));
    float normalizationFactor = a / saturate(a + (radius * 0.5 * LspecLengthInverse));
    float specularIntensity = normalizationFactor * normalizationFactor;

    vec3 L = closestPoint * LspecLengthInverse; // normalize() equivalent?
    vec3 H = normalize(L + V);
    float NoL = saturate(dot(N, L));
    float NoH = saturate(dot(N, H));
    float LoH = saturate(dot(L, H));

    vec3 specular = specular(F0, roughness, H, NdotV, NoL, NoH, LoH, specularIntensity);

    // Diffuse.
    // Comes after specular since its NoL is used in the lighting equation.
    L = normalize(light_to_frag);
    H = normalize(L + V);
    NoL = saturate(dot(N, L));
    NoH = saturate(dot(N, H));
    LoH = saturate(dot(L, H));

    vec3 diffuse = diffuseColor * Fd_Burley(roughness, NdotV, NoL, LoH);

    // Lout = f(v,l) Φ / { 4 π d^2 }⟨n⋅l⟩
    // where
    // f(v,l) = (f_d(v,l) + f_r(v,l)) * light_color
    // Φ is light intensity

    // our rangeAttentuation = 1 / d^2 multiplied with an attenuation factor for smoothing at the edge of the non-physical maximum light radius
    // It's not 100% clear where the 1/4π goes in the derivation, but we follow the filament shader and leave it out

    // See https://google.github.io/filament/Filament.html#mjx-eqn-pointLightLuminanceEquation
    // TODO compensate for energy loss https://google.github.io/filament/Filament.html#materialsystem/improvingthebrdfs/energylossinspecularreflectance
    // light.color.rgb is premultiplied with light.intensity on the CPU
    return ((diffuse + specular) * light.color.rgb) * (rangeAttenuation * NoL);
}

vec3 dir_light(DirectionalLight light, float roughness, float NdotV, vec3 normal, vec3 view, vec3 R, vec3 F0, vec3 diffuseColor) {
    vec3 incident_light = light.direction.xyz;

    vec3 half_vector = normalize(incident_light + view);
    float NoL = saturate(dot(normal, incident_light));
    float NoH = saturate(dot(normal, half_vector));
    float LoH = saturate(dot(incident_light, half_vector));

    vec3 diffuse = diffuseColor * Fd_Burley(roughness, NdotV, NoL, LoH);
    float specularIntensity = 1.0;
    vec3 specular = specular(F0, roughness, half_vector, NdotV, NoL, NoH, LoH, specularIntensity);

    return (specular + diffuse) * light.color.rgb * NoL;
}

void main() {
    vec4 output_color = base_color;
    output_color *= texture(sampler2D(StandardMaterial_base_color_texture,
                                      StandardMaterial_base_color_texture_sampler),
                            v_Uv);

    // calculate non-linear roughness from linear perceptualRoughness
    vec4 metallic_roughness = texture(sampler2D(StandardMaterial_metallic_roughness_texture, StandardMaterial_metallic_roughness_texture_sampler), v_Uv);
    // Sampling from GLTF standard channels for now
    float metallic = metallic * metallic_roughness.b;
    float perceptual_roughness = perceptual_roughness * metallic_roughness.g;

    float roughness = perceptualRoughnessToRoughness(perceptual_roughness);

    vec3 N = normalize(v_WorldNormal);

    vec3 T = normalize(v_WorldTangent.xyz);
    vec3 B = cross(N, T) * v_WorldTangent.w;

    N = gl_FrontFacing ? N : -N;
    T = gl_FrontFacing ? T : -T;
    B = gl_FrontFacing ? B : -B;

    mat3 TBN = mat3(T, B, N);
    N = TBN * normalize(texture(sampler2D(StandardMaterial_normal_map, StandardMaterial_normal_map_sampler), v_Uv).rgb * 2.0 - vec3(1.0));

    float occlusion = texture(sampler2D(StandardMaterial_occlusion_texture, StandardMaterial_occlusion_texture_sampler), v_Uv).r;

    vec4 emissive = emissive;
    // TODO use .a for exposure compensation in HDR
    emissive.rgb *= texture(sampler2D(StandardMaterial_emissive_texture, StandardMaterial_emissive_texture_sampler), v_Uv).rgb;
    vec3 V = normalize(CameraPos.xyz - v_WorldPosition.xyz);
    // Neubelt and Pettineo 2013, "Crafting a Next-gen Material Pipeline for The Order: 1886"
    float NdotV = max(dot(N, V), 1e-3);

    // Remapping [0,1] reflectance to F0
    // See https://google.github.io/filament/Filament.html#materialsystem/parameterization/remapping
    vec3 F0 = vec3(0.16 * reflectance * reflectance * (1.0 - metallic)) + output_color.rgb * vec3(metallic);

    // Diffuse strength inversely related to metallicity
    vec3 diffuseColor = output_color.rgb * vec3(1.0 - metallic);

    vec3 R = reflect(-V, N);

    // accumulate color
    vec3 light_accum = vec3(0.0);
    for (int i = 0; i < int(NumLights.x) && i < MAX_POINT_LIGHTS; ++i) {
        light_accum += point_light(PointLights[i], roughness, NdotV, N, V, R, F0, diffuseColor);
    }
    for (int i = 0; i < int(NumLights.y) && i < MAX_DIRECTIONAL_LIGHTS; ++i) {
        light_accum += dir_light(DirectionalLights[i], roughness, NdotV, N, V, R, F0, diffuseColor);
    }

    vec3 diffuse_ambient = EnvBRDFApprox(diffuseColor, 1.0, NdotV);
    vec3 specular_ambient = EnvBRDFApprox(F0, perceptual_roughness, NdotV);

    output_color.rgb = light_accum;
    output_color.rgb += (diffuse_ambient + specular_ambient) * AmbientColor.xyz * occlusion;
    output_color.rgb += emissive.rgb * output_color.a;

    // tone_mapping
    output_color.rgb = reinhard_luminance(output_color.rgb);
    // Gamma correction.
    // Not needed with sRGB buffer
    // output_color.rgb = pow(output_color.rgb, vec3(1.0 / 2.2));

    o_Target = output_color;
}


================================================
FILE: lib/naga/tests/in/glsl/bevy-pbr.vert
================================================
// MIT License
//
// Copyright (c) 2020 Carter Anderson
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
//
// NOTE: Taken from the bevy repo
#version 450

layout(location = 0) in vec3 Vertex_Position;
layout(location = 1) in vec3 Vertex_Normal;
layout(location = 2) in vec2 Vertex_Uv;

layout(location = 3) in vec4 Vertex_Tangent;

layout(location = 0) out vec3 v_WorldPosition;
layout(location = 1) out vec3 v_WorldNormal;
layout(location = 2) out vec2 v_Uv;

layout(set = 0, binding = 0) uniform CameraViewProj {
    mat4 ViewProj;
};

layout(location = 3) out vec4 v_WorldTangent;

layout(set = 2, binding = 0) uniform Transform {
    mat4 Model;
};

void main() {
    vec4 world_position = Model * vec4(Vertex_Position, 1.0);
    v_WorldPosition = world_position.xyz;
    v_WorldNormal = mat3(Model) * Vertex_Normal;
    v_Uv = Vertex_Uv;
    v_WorldTangent = vec4(mat3(Model) * Vertex_Tangent.xyz, Vertex_Tangent.w);
    gl_Position = ViewProj * world_position;
}


================================================
FILE: lib/naga/tests/in/glsl/bits_glsl.frag
================================================
#version 450

void main() {
    int i = 0;
    ivec2 i2 = ivec2(0);
    ivec3 i3 = ivec3(0);
    ivec4 i4 = ivec4(0);
    uint u = 0;
    uvec2 u2 = uvec2(0);
    uvec3 u3 = uvec3(0);
    uvec4 u4 = uvec4(0);
    vec2 f2 = vec2(0.0);
    vec4 f4 = vec4(0.0);
    u = packSnorm4x8(f4);
    u = packUnorm4x8(f4);
    u = packSnorm2x16(f2);
    u = packUnorm2x16(f2);
    u = packHalf2x16(f2);
    f4 = unpackSnorm4x8(u);
    f4 = unpackUnorm4x8(u);
    f2 = unpackSnorm2x16(u);
    f2 = unpackUnorm2x16(u);
    f2 = unpackHalf2x16(u);
    i = bitfieldInsert(i, i, 5, 10);
    i2 = bitfieldInsert(i2, i2, 5, 10);
    i3 = bitfieldInsert(i3, i3, 5, 10);
    i4 = bitfieldInsert(i4, i4, 5, 10);
    u = bitfieldInsert(u, u, 5, 10);
    u2 = bitfieldInsert(u2, u2, 5, 10);
    u3 = bitfieldInsert(u3, u3, 5, 10);
    u4 = bitfieldInsert(u4, u4, 5, 10);
    i = bitfieldExtract(i, 5, 10);
    i2 = bitfieldExtract(i2, 5, 10);
    i3 = bitfieldExtract(i3, 5, 10);
    i4 = bitfieldExtract(i4, 5, 10);
    u = bitfieldExtract(u, 5, 10);
    u2 = bitfieldExtract(u2, 5, 10);
    u3 = bitfieldExtract(u3, 5, 10);
    u4 = bitfieldExtract(u4, 5, 10);
    i = findLSB(i);
    i2 = findLSB(i2);
    i3 = findLSB(i3);
    i4 = findLSB(i4);
    i = findLSB(u);
    i2 = findLSB(u2);
    i3 = findLSB(u3);
    i4 = findLSB(u4);
    i = findMSB(i);
    i2 = findMSB(i2);
    i3 = findMSB(i3);
    i4 = findMSB(i4);
    i = findMSB(u);
    i2 = findMSB(u2);
    i3 = findMSB(u3);
    i4 = findMSB(u4);
}

================================================
FILE: lib/naga/tests/in/glsl/bool-select.frag
================================================
#version 440 core
precision highp float;

layout(location = 0) out vec4 o_color;

float TevPerCompGT(float a, float b) {
    return float(a > b);
}

vec3 TevPerCompGT(vec3 a, vec3 b) {
    return vec3(greaterThan(a, b));
}

void main() {
    o_color.rgb = TevPerCompGT(vec3(3.0), vec3(5.0));
    o_color.a = TevPerCompGT(3.0, 5.0);
}


================================================
FILE: lib/naga/tests/in/glsl/buffer.frag
================================================
#version 450

layout(set = 0, binding = 0) buffer testBufferBlock {
    uint[] data;
} testBuffer;

layout(set = 0, binding = 1) writeonly buffer testBufferWriteOnlyBlock {
    uint[] data;
} testBufferWriteOnly;

layout(set = 0, binding = 2) readonly buffer testBufferReadOnlyBlock {
    uint[] data;
} testBufferReadOnly;

void main() {
    uint a = testBuffer.data[0];
    testBuffer.data[1] = 2;

    testBufferWriteOnly.data[1] = 2;

    uint b = testBufferReadOnly.data[0];
}


================================================
FILE: lib/naga/tests/in/glsl/clamp-splat.vert
================================================
#version 450
layout(location = 0) in vec2 a_pos;

void main() {
  gl_Position = vec4(clamp(a_pos, 0.0, 1.0), 0.0, 1.0);
}


================================================
FILE: lib/naga/tests/in/glsl/constant-array-size.vert
================================================
#version 450

const int NUM_VECS = 42;
layout(std140, set = 1, binding = 0) uniform Data {
    vec4 vecs[NUM_VECS];
};

vec4 function() {
    vec4 sum = vec4(0);
    for (int i = 0; i < NUM_VECS; i++) {
        sum += vecs[i];
    }
    return sum;
}

void main() {}


================================================
FILE: lib/naga/tests/in/glsl/declarations.vert
================================================
#version 450

layout(location = 0) in VertexData {
    vec2 position;
    vec2 a;
} vert;

layout(location = 0) out FragmentData {
    vec2 position;
    vec2 a;
} frag;

layout(location = 2) in  vec4  in_array[2];
layout(location = 2) out vec4 out_array[2];

struct TestStruct {
    float a;
    float b;
};

float array_2d[2][2];
float array_toomanyd[2][2][2][2][2][2][2];

void main() {
    const vec3 positions[2] = vec3[2](
        vec3(-1.0, 1.0, 0.0),
        vec3(-1.0, -1.0, 0.0)
    );
    const TestStruct strct = TestStruct( 1, 2 );
    const vec4 from_input_array = in_array[1];
    const float a = array_2d[0][0];
    const float b = array_toomanyd[0][0][0][0][0][0][0];
    out_array[0] = vec4(2.0);
}


================================================
FILE: lib/naga/tests/in/glsl/expressions.frag
================================================
#version 440 core

void testBinOpVecFloat(vec4 a, float b) {
    vec4 v;
    v = a * 2.0;
    v = a / 2.0;
    v = a + 2.0;
    v = a - 2.0;
}

void testBinOpFloatVec(vec4 a, float b) {
    vec4 v;
    v = a * b;
    v = a / b;
    v = a + b;
    v = a - b;
}

void testBinOpIVecInt(ivec4 a, int b) {
    ivec4 v;
    v = a * b;
    v = a / b;
    v = a + b;
    v = a - b;
    v = a & b;
    v = a | b;
    v = a ^ b;
    v = a >> b;
    v = a << b;
}

void testBinOpIntIVec(int a, ivec4 b) {
    ivec4 v;
    v = a * b;
    v = a + b;
    v = a - b;
    v = a & b;
    v = a | b;
    v = a ^ b;
}

void testBinOpUVecUint(uvec4 a, uint b) {
    uvec4 v;
    v = a * b;
    v = a / b;
    v = a + b;
    v = a - b;
    v = a & b;
    v = a | b;
    v = a ^ b;
    v = a >> b;
    v = a << b;
}

void testBinOpUintUVec(uint a, uvec4 b) {
    uvec4 v;
    v = a * b;
    v = a + b;
    v = a - b;
    v = a & b;
    v = a | b;
    v = a ^ b;
}

void testBinOpMatMat(mat3 a, mat3 b) {
    mat3 v;
    bool c;
    v = a / b;
    v = a * b;
    v = a + b;
    v = a - b;
    c = a == b;
    c = a != b;
}

void testBinOpMatFloat(float a, mat3 b) {
    mat3 v;
    v = a / b;
    v = a * b;
    v = a + b;
    v = a - b;

    v = b / a;
    v = b * a;
    v = b + a;
    v = b - a;
}

void testUnaryOpMat(mat3 a) {
    mat3 v;
    v = -a;
    v = --a;
    v = a--;
}

void testStructConstructor() {
    struct BST {
        int data;
    };

    BST tree = BST(1);
}

void testNonScalarToScalarConstructor() {
    float f = float(mat2(1.0));
}

void testArrayConstructor() {
    float tree[1] = float[1](0.0);
}

void testFreestandingConstructor() {
    vec4(1.0);
}

void testNonImplicitCastVectorCast() {
    uint a = 1;
    ivec4 b = ivec4(a);
}

float global;
void privatePointer(inout float a) {}

void ternary(bool a) {
    uint b = a ? 0 : 1u;
    uint c = a ? 0u : 1;

    uint nested = a ? (a ? (a ? 2u : 3) : 4u) : 5;
}

void testMatrixMultiplication(mat4x3 a, mat4x4 b) {
    mat4x3 c = a * b;
}

layout(std430, binding = 0) buffer a_buf {
    float a[];
};

void testLength() {
    int len = a.length();
}

void testConstantLength(float a[4u]) {
    int len = a.length();
}

out vec4 o_color;
void main() {
    privatePointer(global);
    o_color.rgba = vec4(1.0);
}


================================================
FILE: lib/naga/tests/in/glsl/fma.frag
================================================
#version 440 core

struct Mat4x3 { vec4 mx; vec4 my; vec4 mz; };
void Fma(inout Mat4x3 d, Mat4x3 m, float s) { d.mx += m.mx * s; d.my += m.my * s; d.mz += m.mz * s; }

out vec4 o_color;
void main() {
    o_color.rgba = vec4(1.0);
}


================================================
FILE: lib/naga/tests/in/glsl/global-constant-array.vert
================================================
#version 450 core

uint i;
const float[2] array = { 1.0, 2.0 };

void main() { array[i]; }


================================================
FILE: lib/naga/tests/in/glsl/images.frag
================================================
#version 460 core

layout(rgba8, binding = 0) uniform image1D img1D;
layout(rgba8, binding = 1) uniform image2D img2D;
layout(rgba8, binding = 2) uniform image3D img3D;
// layout(rgba8, binding = 3) uniform imageCube imgCube;
layout(rgba8, binding = 4) uniform image1DArray img1DArray;
layout(rgba8, binding = 5) uniform image2DArray img2DArray;
// layout(rgba8, binding = 6) uniform imageCubeArray imgCubeArray;

layout(rgba8, binding = 7) readonly uniform image2D imgReadOnly;
layout(rgba8, binding = 8) writeonly uniform image2D imgWriteOnly;
layout(rgba8, binding = 9) writeonly readonly uniform image2D imgWriteReadOnly;

void testImg1D(in int coord) {
    int size = imageSize(img1D);
    imageStore(img1D, coord, vec4(2));
    vec4 c = imageLoad(img1D, coord);
}

void testImg1DArray(in ivec2 coord) {
    vec2 size = imageSize(img1DArray);
    vec4 c = imageLoad(img1DArray, coord);
    imageStore(img1DArray, coord, vec4(2));
}

void testImg2D(in ivec2 coord) {
    vec2 size = imageSize(img2D);
    vec4 c = imageLoad(img2D, coord);
    imageStore(img2D, coord, vec4(2));
}

void testImg2DArray(in ivec3 coord) {
    vec3 size = imageSize(img2DArray);
    vec4 c = imageLoad(img2DArray, coord);
    imageStore(img2DArray, coord, vec4(2));
}

void testImg3D(in ivec3 coord) {
    vec3 size = imageSize(img3D);
    vec4 c = imageLoad(img3D, coord);
    imageStore(img3D, coord, vec4(2));
}

// Naga doesn't support cube images and it's usefulness
// is questionable, so they won't be supported for now
// void testImgCube(in ivec3 coord) {
//     vec2 size = imageSize(imgCube);
//     vec4 c = imageLoad(imgCube, coord);
//     imageStore(imgCube, coord, vec4(2));
// }
//
// void testImgCubeArray(in ivec3 coord) {
//    vec3 size = imageSize(imgCubeArray);
//     vec4 c = imageLoad(imgCubeArray, coord);
//     imageStore(imgCubeArray, coord, vec4(2));
// }

void testImgReadOnly(in ivec2 coord) {
    vec2 size = imageSize(img2D);
    vec4 c = imageLoad(imgReadOnly, coord);
}

void testImgWriteOnly(in ivec2 coord) {
    vec2 size = imageSize(img2D);
    imageStore(imgWriteOnly, coord, vec4(2));
}

void testImgWriteReadOnly(in ivec2 coord) {
    vec2 size = imageSize(imgWriteReadOnly);
}

void main() {}


================================================
FILE: lib/naga/tests/in/glsl/long-form-matrix.vert
================================================
// ISSUE: #1064
#version 450

void main() {
    // Sane ways to build a matrix
    mat2 splat = mat2(1);
    mat2 normal = mat2(vec2(1), vec2(2));
    mat2x4 from_matrix = mat2x4(mat3(1.0));

    // This is a little bit weirder but still makes some sense
    // Since this matrix has 2 rows we take two numbers to make a column
    // and we do this twice because we 2 columns.
    // Final result in wgsl should be:
    // mat2x2<f32>(vec2<f32>(1.0, 2.0), vec2<f32>(3.0, 4.0))
    mat2 a = mat2(1, 2, 3, 4);

    // ???
    // Glsl has decided that for it's matrix constructor arguments it doesn't
    // take them as is but instead flattens them so the `b` matrix is
    // equivalent to the `a` matrix but in value and semantics
    mat2 b = mat2(1, vec2(2, 3), 4);
    mat3 c = mat3(1, 2, 3, vec3(1), vec3(1));
    mat3 d = mat3(vec2(2), 1, vec3(1), vec3(1));
    mat4 e = mat4(vec2(2), vec4(1), vec2(2), vec4(1), vec4(1));
}


================================================
FILE: lib/naga/tests/in/glsl/math-functions.vert
================================================
#version 450

void main() {
    vec4 a = vec4(1.0);
    vec4 b = vec4(2.0);
    mat4 m = mat4(a, b, a, b);
    int i = 5;

    vec4 ceilOut = ceil(a);
    vec4 roundOut = round(a);
    vec4 floorOut = floor(a);
    vec4 fractOut = fract(a);
    vec4 truncOut = trunc(a);
    vec4 sinOut = sin(a);
    vec4 absOut = abs(a);
    vec4 sqrtOut = sqrt(a);
    vec4 inversesqrtOut = inversesqrt(a);
    vec4 expOut = exp(a);
    vec4 exp2Out = exp2(a);
    vec4 signOut = sign(a);
    mat4 transposeOut = transpose(m);
    // TODO: support inverse function in wgsl output
    // mat4 inverseOut = inverse(m);
    vec4 normalizeOut = normalize(a);
    vec4 sinhOut = sinh(a);
    vec4 cosOut = cos(a);
    vec4 coshOut = cosh(a);
    vec4 tanOut = tan(a);
    vec4 tanhOut = tanh(a);
    vec4 acosOut = acos(a);
    vec4 asinOut = asin(a);
    vec4 logOut = log(a);
    vec4 log2Out = log2(a);
    float lengthOut = length(a);
    float determinantOut = determinant(m);
    int bitCountOut = bitCount(i);
    int bitfieldReverseOut = bitfieldReverse(i);
    float atanOut = atan(a.x);
    float atan2Out = atan(a.x, a.y);
    float modOut = mod(a.x, b.x);
    vec4 powOut = pow(a, b);
    float dotOut = dot(a, b);
    vec4 maxOut = max(a, b);
    vec4 minOut = min(a, b);
    vec4 reflectOut = reflect(a, b);
    vec3 crossOut = cross(a.xyz, b.xyz);
    mat4 outerProductOut = outerProduct(a, b);
    float distanceOut = distance(a, b);
    vec4 stepOut = step(a, b);
    // TODO: support out params in wgsl output
    // vec4 modfOut = modf(a, b);
    // vec4 frexpOut = frexp(a, b);
    // float ldexpOut = ldexp(a.x, i);
    vec4 rad = radians(a);
    float deg = degrees(a.x);
    float smoothStepScalar = smoothstep(0.0, 1.0, 0.5);
    vec4 smoothStepVector = smoothstep(vec4(0.0), vec4(1.0), vec4(0.5));
    vec4 smoothStepMixed = smoothstep(0.0, 1.0, vec4(0.5));
}


================================================
FILE: lib/naga/tests/in/glsl/prepostfix.frag
================================================
#version 450 core

void main() {
	int scalar_target;
	int scalar = 1;
	scalar_target = scalar++;
	scalar_target = --scalar;

	uvec2 vec_target;
	uvec2 vec = uvec2(1);
	vec_target = vec--;
	vec_target = ++vec;

	mat4x3 mat_target;
	mat4x3 mat = mat4x3(1);
	mat_target = mat++;
	mat_target = --mat;
}


================================================
FILE: lib/naga/tests/in/glsl/quad_glsl.frag
================================================
#version 450
layout(location = 0) in vec2 v_uv;
#ifdef TEXTURE
layout(set = 0, binding = 0) uniform texture2D u_texture;
layout(set = 0, binding = 1) uniform sampler u_sampler;
#endif
layout(location = 0) out vec4 o_color;

void main() {
#ifdef TEXTURE
  o_color = texture(sampler2D(u_texture, u_sampler), v_uv);
#else
  o_color = vec4(1.0, 1.0, 1.0, 1.0);
#endif
}


================================================
FILE: lib/naga/tests/in/glsl/quad_glsl.vert
================================================
#version 450
const float c_scale = 1.2;

layout(location = 0) in vec2 a_pos;
layout(location = 1) in vec2 a_uv;
layout(location = 0) out vec2 v_uv;

void main() {
  v_uv = a_uv;
  gl_Position = vec4(c_scale * a_pos, 0.0, 1.0);
}


================================================
FILE: lib/naga/tests/in/glsl/sampler-functions.frag
================================================
#version 440
precision mediump float;

float CalcShadowPCF1(texture2D T_P_t_TextureDepth, samplerShadow S_P_t_TextureDepth, in vec3 t_ProjCoord) {
    float t_Res = 0.0f;
    t_Res += texture(sampler2DShadow(T_P_t_TextureDepth, S_P_t_TextureDepth), t_ProjCoord.xyz) * (1.0 / 5.0);
    return t_Res;
}

float CalcShadowPCF(texture2D T_P_t_TextureDepth, samplerShadow S_P_t_TextureDepth, in vec3 t_ProjCoord, in float t_Bias) {
    t_ProjCoord.z += t_Bias;
    return CalcShadowPCF1(T_P_t_TextureDepth, S_P_t_TextureDepth, t_ProjCoord.xyz);
}

void main() {
}


================================================
FILE: lib/naga/tests/in/glsl/samplers.frag
================================================
#version 440 core
precision mediump float;

layout(set = 1, binding = 0) uniform texture1D tex1D;
layout(set = 1, binding = 1) uniform texture1DArray tex1DArray;
layout(set = 1, binding = 2) uniform texture2D tex2D;
layout(set = 1, binding = 3) uniform texture2DArray tex2DArray;
layout(set = 1, binding = 4) uniform textureCube texCube;
layout(set = 1, binding = 5) uniform textureCubeArray texCubeArray;
layout(set = 1, binding = 6) uniform texture3D tex3D;
layout(set = 1, binding = 7) uniform sampler samp;

// WGSL doesn't have 1D depth samplers.
#define HAS_1D_DEPTH_TEXTURES 0

#if HAS_1D_DEPTH_TEXTURES
layout(set = 1, binding = 10) uniform texture1D tex1DShadow;
layout(set = 1, binding = 11) uniform texture1DArray tex1DArrayShadow;
#endif

layout(set = 1, binding = 12) uniform texture2D tex2DShadow;
layout(set = 1, binding = 13) uniform texture2DArray tex2DArrayShadow;
layout(set = 1, binding = 14) uniform textureCube texCubeShadow;
layout(set = 1, binding = 15) uniform textureCubeArray texCubeArrayShadow;
layout(set = 1, binding = 16) uniform texture3D tex3DShadow;
layout(set = 1, binding = 17) uniform samplerShadow sampShadow;

layout(binding = 18) uniform texture2DMS tex2DMS;
layout(binding = 19) uniform texture2DMSArray tex2DMSArray;

// Conventions for readability:
//   1.0 = Shadow Ref
//   2.0 = LOD Bias
//   3.0 = Explicit LOD
//   4.0 = Grad Derivatives
//   5 = Offset
//   6.0 = Proj W

void testTex1D(in float coord) {
    int size1D = textureSize(sampler1D(tex1D, samp), 0);
    vec4 c;
    c = texture(sampler1D(tex1D, samp), coord);
    c = texture(sampler1D(tex1D, samp), coord, 2.0);
    c = textureGrad(sampler1D(tex1D, samp), coord, 4.0, 4.0);
    c = textureGradOffset(sampler1D(tex1D, samp), coord, 4.0, 4.0, 5);
    c = textureLod(sampler1D(tex1D, samp), coord, 3.0);
    c = textureLodOffset(sampler1D(tex1D, samp), coord, 3.0, 5);
    c = textureOffset(sampler1D(tex1D, samp), coord, 5);
    c = textureOffset(sampler1D(tex1D, samp), coord, 5, 2.0);
    c = textureProj(sampler1D(tex1D, samp), vec2(coord, 6.0));
    c = textureProj(sampler1D(tex1D, samp), vec4(coord, 0.0, 0.0, 6.0));
    c = textureProj(sampler1D(tex1D, samp), vec2(coord, 6.0), 2.0);
    c = textureProj(sampler1D(tex1D, samp), vec4(coord, 0.0, 0.0, 6.0), 2.0);
    c = textureProjGrad(sampler1D(tex1D, samp), vec2(coord, 6.0), 4.0, 4.0);
    c = textureProjGrad(sampler1D(tex1D, samp), vec4(coord, 0.0, 0.0, 6.0), 4.0, 4.0);
    c = textureProjGradOffset(sampler1D(tex1D, samp), vec2(coord, 6.0), 4.0, 4.0, 5);
    c = textureProjGradOffset(sampler1D(tex1D, samp), vec4(coord, 0.0, 0.0, 6.0), 4.0, 4.0, 5);
    c = textureProjLod(sampler1D(tex1D, samp), vec2(coord, 6.0), 3.0);
    c = textureProjLod(sampler1D(tex1D, samp), vec4(coord, 0.0, 0.0, 6.0), 3.0);
    c = textureProjLodOffset(sampler1D(tex1D, samp), vec2(coord, 6.0), 3.0, 5);
    c = textureProjLodOffset(sampler1D(tex1D, samp), vec4(coord, 0.0, 0.0, 6.0), 3.0, 5);
    c = textureProjOffset(sampler1D(tex1D, samp), vec2(coord, 6.0), 5);
    c = textureProjOffset(sampler1D(tex1D, samp), vec4(coord, 0.0, 0.0, 6.0), 5);
    c = textureProjOffset(sampler1D(tex1D, samp), vec2(coord, 6.0), 5, 2.0);
    c = textureProjOffset(sampler1D(tex1D, samp), vec4(coord, 0.0, 0.0, 6.0), 5, 2.0);
    c = texelFetch(sampler1D(tex1D, samp), int(coord), 3);
    c = texelFetchOffset(sampler1D(tex1D, samp), int(coord), 3, 5);
}

#if HAS_1D_DEPTH_TEXTURES
void testTex1DShadow(float coord) {
    int size1DShadow = textureSize(sampler1DShadow(tex1DShadow, sampShadow), 0);
    float d;
    d = texture(sampler1DShadow(tex1DShadow, sampShadow), vec3(coord, 1.0, 1.0));
    // d = texture(sampler1DShadow(tex1DShadow, sampShadow), vec3(coord, 1.0, 1.0), 2.0);
    d = textureGrad(sampler1DShadow(tex1DShadow, sampShadow), vec3(coord, 1.0, 1.0), 4.0, 4.0);
    d = textureGradOffset(sampler1DShadow(tex1DShadow, sampShadow), vec3(coord, 1.0, 1.0), 4.0, 4.0, 5);
    d = textureLod(sampler1DShadow(tex1DShadow, sampShadow), vec3(coord, 1.0, 1.0), 3.0);
    d = textureLodOffset(sampler1DShadow(tex1DShadow, sampShadow), vec3(coord, 1.0, 1.0), 3.0, 5);
    d = textureOffset(sampler1DShadow(tex1DShadow, sampShadow), vec3(coord, 1.0, 1.0), 5);
    // d = textureOffset(sampler1DShadow(tex1DShadow, sampShadow), vec3(coord, 1.0, 1.0), 5, 2.0);
    d = textureProj(sampler1DShadow(tex1DShadow, sampShadow), vec4(coord, 0.0, 1.0, 6.0));
    // d = textureProj(sampler1DShadow(tex1DShadow, sampShadow), vec4(coord, 0.0, 1.0, 6.0), 2.0);
    d = textureProjGrad(sampler1DShadow(tex1DShadow, sampShadow), vec4(coord, 0.0, 1.0, 6.0), 4.0, 4.0);
    d = textureProjGradOffset(sampler1DShadow(tex1DShadow, sampShadow), vec4(coord, 0.0, 1.0, 6.0), 4.0, 4.0, 5);
    d = textureProjLod(sampler1DShadow(tex1DShadow, sampShadow), vec4(coord, 0.0, 1.0, 6.0), 3.0);
    d = textureProjLodOffset(sampler1DShadow(tex1DShadow, sampShadow), vec4(coord, 0.0, 1.0, 6.0), 3.0, 5);
    d = textureProjOffset(sampler1DShadow(tex1DShadow, sampShadow), vec4(coord, 0.0, 1.0, 6.0), 5);
    // d = textureProjOffset(sampler1DShadow(tex1DShadow, sampShadow), vec4(coord, 0.0, 1.0, 6.0), 5, 2.0);
}
#endif

void testTex1DArray(in vec2 coord) {
    ivec2 size1DArray = textureSize(sampler1DArray(tex1DArray, samp), 0);
    vec4 c;
    c = texture(sampler1DArray(tex1DArray, samp), coord);
    c = texture(sampler1DArray(tex1DArray, samp), coord, 2.0);
    c = textureGrad(sampler1DArray(tex1DArray, samp), coord, 4.0, 4.0);
    c = textureGradOffset(sampler1DArray(tex1DArray, samp), coord, 4.0, 4.0, 5);
    c = textureLod(sampler1DArray(tex1DArray, samp), coord, 3.0);
    c = textureLodOffset(sampler1DArray(tex1DArray, samp), coord, 3.0, 5);
    c = textureOffset(sampler1DArray(tex1DArray, samp), coord, 5);
    c = textureOffset(sampler1DArray(tex1DArray, samp), coord, 5, 2.0);
    c = texelFetch(sampler1DArray(tex1DArray, samp), ivec2(coord), 3);
    c = texelFetchOffset(sampler1DArray(tex1DArray, samp), ivec2(coord), 3, 5);
}

#if HAS_1D_DEPTH_TEXTURES
void testTex1DArrayShadow(in vec2 coord) {
    ivec2 size1DArrayShadow = textureSize(sampler1DArrayShadow(tex1DArrayShadow, sampShadow), 0);
    float d;
    d = texture(sampler1DArrayShadow(tex1DArrayShadow, sampShadow), vec3(coord, 1.0));
    d = textureGrad(sampler1DArrayShadow(tex1DArrayShadow, sampShadow), vec3(coord, 1.0), 4.0, 4.0);
    d = textureGradOffset(sampler1DArrayShadow(tex1DArrayShadow, sampShadow), vec3(coord, 1.0), 4.0, 4.0, 5);
    d = textureLod(sampler1DArrayShadow(tex1DArrayShadow, sampShadow), vec3(coord, 1.0), 3.0);
    d = textureLodOffset(sampler1DArrayShadow(tex1DArrayShadow, sampShadow), vec3(coord, 1.0), 3.0, 5);
    d = textureOffset(sampler1DArrayShadow(tex1DArrayShadow, sampShadow), vec3(coord, 1.0), 5);
    // d = textureOffset(sampler1DArrayShadow(tex1DArrayShadow, sampShadow), vec3(coord, 1.0), 5, 2.0);
}
#endif

void testTex2D(in vec2 coord) {
    ivec2 size2D = textureSize(sampler2D(tex2D, samp), 0);
    vec4 c;
    c = texture(sampler2D(tex2D, samp), coord);
    c = texture(sampler2D(tex2D, samp), coord, 2.0);
    c = textureGrad(sampler2D(tex2D, samp), coord, vec2(4.0), vec2(4.0));
    c = textureGradOffset(sampler2D(tex2D, samp), coord, vec2(4.0), vec2(4.0), ivec2(5));
    c = textureLod(sampler2D(tex2D, samp), coord, 3.0);
    c = textureLodOffset(sampler2D(tex2D, samp), coord, 3.0, ivec2(5));
    c = textureOffset(sampler2D(tex2D, samp), coord, ivec2(5));
    c = textureOffset(sampler2D(tex2D, samp), coord, ivec2(5), 2.0);
    c = textureProj(sampler2D(tex2D, samp), vec3(coord, 6.0));
    c = textureProj(sampler2D(tex2D, samp), vec4(coord, 0.0, 6.0));
    c = textureProj(sampler2D(tex2D, samp), vec3(coord, 6.0), 2.0);
    c = textureProj(sampler2D(tex2D, samp), vec4(coord, 0.0, 6.0), 2.0);
    c = textureProjGrad(sampler2D(tex2D, samp), vec3(coord, 6.0), vec2(4.0), vec2(4.0));
    c = textureProjGrad(sampler2D(tex2D, samp), vec4(coord, 0.0, 6.0), vec2(4.0), vec2(4.0));
    c = textureProjGradOffset(sampler2D(tex2D, samp), vec3(coord, 6.0), vec2(4.0), vec2(4.0), ivec2(5));
    c = textureProjGradOffset(sampler2D(tex2D, samp), vec4(coord, 0.0, 6.0), vec2(4.0), vec2(4.0), ivec2(5));
    c = textureProjLod(sampler2D(tex2D, samp), vec3(coord, 6.0), 3.0);
    c = textureProjLod(sampler2D(tex2D, samp), vec4(coord, 0.0, 6.0), 3.0);
    c = textureProjLodOffset(sampler2D(tex2D, samp), vec3(coord, 6.0), 3.0, ivec2(5));
    c = textureProjLodOffset(sampler2D(tex2D, samp), vec4(coord, 0.0, 6.0), 3.0, ivec2(5));
    c = textureProjOffset(sampler2D(tex2D, samp), vec3(coord, 6.0), ivec2(5));
    c = textureProjOffset(sampler2D(tex2D, samp), vec4(coord, 0.0, 6.0), ivec2(5));
    c = textureProjOffset(sampler2D(tex2D, samp), vec3(coord, 6.0), ivec2(5), 2.0);
    c = textureProjOffset(sampler2D(tex2D, samp), vec4(coord, 0.0, 6.0), ivec2(5), 2.0);
    c = texelFetch(sampler2D(tex2D, samp), ivec2(coord), 3);
    c = texelFetchOffset(sampler2D(tex2D, samp), ivec2(coord), 3, ivec2(5));
}

void testTex2DShadow(vec2 coord) {
    ivec2 size2DShadow = textureSize(sampler2DShadow(tex2DShadow, sampShadow), 0);
    float d;
    d = texture(sampler2DShadow(tex2DShadow, sampShadow), vec3(coord, 1.0));
    // d = texture(sampler2DShadow(tex2DShadow, sampShadow), vec3(coord, 1.0), 2.0);
    d = textureGrad(sampler2DShadow(tex2DShadow, sampShadow), vec3(coord, 1.0), vec2(4.0), vec2(4.0));
    d = textureGradOffset(sampler2DShadow(tex2DShadow, sampShadow), vec3(coord, 1.0), vec2(4.0), vec2(4.0), ivec2(5));
    d = textureLod(sampler2DShadow(tex2DShadow, sampShadow), vec3(coord, 1.0), 3.0);
    d = textureLodOffset(sampler2DShadow(tex2DShadow, sampShadow), vec3(coord, 1.0), 3.0, ivec2(5));
    d = textureOffset(sampler2DShadow(tex2DShadow, sampShadow), vec3(coord, 1.0), ivec2(5));
    // d = textureOffset(sampler2DShadow(tex2DShadow, sampShadow), vec3(coord, 1.0), ivec2(5), 2.0);
    d = textureProj(sampler2DShadow(tex2DShadow, sampShadow), vec4(coord, 1.0, 6.0));
    // d = textureProj(sampler2DShadow(tex2DShadow, sampShadow), vec4(coord, 1.0, 6.0), 2.0);
    d = textureProjGrad(sampler2DShadow(tex2DShadow, sampShadow), vec4(coord, 1.0, 6.0), vec2(4.0), vec2(4.0));
    d = textureProjGradOffset(sampler2DShadow(tex2DShadow, sampShadow), vec4(coord, 1.0, 6.0), vec2(4.0), vec2(4.0), ivec2(5));
    d = textureProjLod(sampler2DShadow(tex2DShadow, sampShadow), vec4(coord, 1.0, 6.0), 3.0);
    d = textureProjLodOffset(sampler2DShadow(tex2DShadow, sampShadow), vec4(coord, 1.0, 6.0), 3.0, ivec2(5));
    d = textureProjOffset(sampler2DShadow(tex2DShadow, sampShadow), vec4(coord, 1.0, 6.0), ivec2(5));
    // d = textureProjOffset(sampler2DShadow(tex2DShadow, sampShadow), vec4(coord, 1.0, 6.0), ivec2(5), 2.0);
}

void testTex2DArray(in vec3 coord) {
    ivec3 size2DArray = textureSize(sampler2DArray(tex2DArray, samp), 0);
    vec4 c;
    c = texture(sampler2DArray(tex2DArray, samp), coord);
    c = texture(sampler2DArray(tex2DArray, samp), coord, 2.0);
    c = textureGrad(sampler2DArray(tex2DArray, samp), coord, vec2(4.0), vec2(4.0));
    c = textureGradOffset(sampler2DArray(tex2DArray, samp), coord, vec2(4.0), vec2(4.0), ivec2(5));
    c = textureLod(sampler2DArray(tex2DArray, samp), coord, 3.0);
    c = textureLodOffset(sampler2DArray(tex2DArray, samp), coord, 3.0, ivec2(5));
    c = textureOffset(sampler2DArray(tex2DArray, samp), coord, ivec2(5));
    c = textureOffset(sampler2DArray(tex2DArray, samp), coord, ivec2(5), 2.0);
    c = texelFetch(sampler2DArray(tex2DArray, samp), ivec3(coord), 3);
    c = texelFetchOffset(sampler2DArray(tex2DArray, samp), ivec3(coord), 3, ivec2(5));
}

void testTex2DArrayShadow(in vec3 coord) {
    ivec3 size2DArrayShadow = textureSize(sampler2DArrayShadow(tex2DArrayShadow, sampShadow), 0);
    float d;
    d = texture(sampler2DArrayShadow(tex2DArrayShadow, sampShadow), vec4(coord, 1.0));
    d = textureGrad(sampler2DArrayShadow(tex2DArrayShadow, sampShadow), vec4(coord, 1.0), vec2(4.0), vec2(4.0));
    d = textureGradOffset(sampler2DArrayShadow(tex2DArrayShadow, sampShadow), vec4(coord, 1.0), vec2(4.0), vec2(4.0), ivec2(5));
    d = textureOffset(sampler2DArrayShadow(tex2DArrayShadow, sampShadow), vec4(coord, 1.0), ivec2(5));
}

void testTexCube(in vec3 coord) {
    ivec2 sizeCube = textureSize(samplerCube(texCube, samp), 0);
    vec4 c;
    c = texture(samplerCube(texCube, samp), coord);
    c = texture(samplerCube(texCube, samp), coord, 2.0);
    c = textureGrad(samplerCube(texCube, samp), coord, vec3(4.0), vec3(4.0));
    c = textureLod(samplerCube(texCube, samp), coord, 3.0);
}

void testTexCubeShadow(in vec3 coord) {
    ivec2 sizeCubeShadow = textureSize(samplerCubeShadow(texCubeShadow, sampShadow), 0);
    float d;
    d = texture(samplerCubeShadow(texCubeShadow, sampShadow), vec4(coord, 1.0));
    d = textureGrad(samplerCubeShadow(texCubeShadow, sampShadow), vec4(coord, 1.0), vec3(4.0), vec3(4.0));
}

void testTexCubeArray(in vec4 coord) {
    ivec3 sizeCubeArray = textureSize(samplerCubeArray(texCubeArray, samp), 0);
    vec4 c;
    c = texture(samplerCubeArray(texCubeArray, samp), coord);
    c = texture(samplerCubeArray(texCubeArray, samp), coord, 2.0);
    c = textureGrad(samplerCubeArray(texCubeArray, samp), coord, vec3(4.0), vec3(4.0));
    c = textureLod(samplerCubeArray(texCubeArray, samp), coord, 3.0);
}

void testTexCubeArrayShadow(in vec4 coord) {
    ivec3 sizeCubeArrayShadow = textureSize(samplerCubeArrayShadow(texCubeArrayShadow, sampShadow), 0);
    float d;
    d = texture(samplerCubeArrayShadow(texCubeArrayShadow, sampShadow), coord, 1.0);
    // The rest of the variants aren't defined by GLSL.
}

void testTex3D(in vec3 coord) {
    ivec3 size3D = textureSize(sampler3D(tex3D, samp), 0);
    vec4 c;
    c = texture(sampler3D(tex3D, samp), coord);
    c = texture(sampler3D(tex3D, samp), coord, 2.0);
    c = textureProj(sampler3D(tex3D, samp), vec4(coord, 6.0));
    c = textureProj(sampler3D(tex3D, samp), vec4(coord, 6.0), 2.0);
    c = textureProjOffset(sampler3D(tex3D, samp), vec4(coord, 6.0), ivec3(5));
    c = textureProjOffset(sampler3D(tex3D, samp), vec4(coord, 6.0), ivec3(5), 2.0);
    c = textureProjLod(sampler3D(tex3D, samp), vec4(coord, 6.0), 3.0);
    c = textureProjLodOffset(sampler3D(tex3D, samp), vec4(coord, 6.0), 3.0, ivec3(5));
    c = textureProjGrad(sampler3D(tex3D, samp), vec4(coord, 6.0), vec3(4.0), vec3(4.0));
    c = textureProjGradOffset(sampler3D(tex3D, samp), vec4(coord, 6.0), vec3(4.0), vec3(4.0), ivec3(5));
    c = textureGrad(sampler3D(tex3D, samp), coord, vec3(4.0), vec3(4.0));
    c = textureGradOffset(sampler3D(tex3D, samp), coord, vec3(4.0), vec3(4.0), ivec3(5));
    c = textureLod(sampler3D(tex3D, samp), coord, 3.0);
    c = textureLodOffset(sampler3D(tex3D, samp), coord, 3.0, ivec3(5));
    c = textureOffset(sampler3D(tex3D, samp), coord, ivec3(5));
    c = textureOffset(sampler3D(tex3D, samp), coord, ivec3(5), 2.0);
    c = texelFetch(sampler3D(tex3D, samp), ivec3(coord), 3);
    c = texelFetchOffset(sampler3D(tex3D, samp), ivec3(coord), 3, ivec3(5));
}

void testTex2DMS(in vec2 coord) {
    ivec2 size2DMS = textureSize(sampler2DMS(tex2DMS, samp));
    vec4 c;
    c = texelFetch(sampler2DMS(tex2DMS, samp), ivec2(coord), 3);
}

void testTex2DMSArray(in vec3 coord) {
    ivec3 size2DMSArray = textureSize(sampler2DMSArray(tex2DMSArray, samp));
    vec4 c;
    c = texelFetch(sampler2DMSArray(tex2DMSArray, samp), ivec3(coord), 3);
}

void main() {}


================================================
FILE: lib/naga/tests/in/glsl/statements.frag
================================================
#version 460 core

void switchEmpty(int a) {
    switch (a) {}

    return;
}

void switchNoDefault(int a) {
    switch (a) {
        case 0:
            break;
    }

    return;
}

void switchNoLastBreak(int a) {
    switch (a) {
        default:
            int b = a;
    }

    return;
}

void main() {}


================================================
FILE: lib/naga/tests/in/glsl/swizzle_write.frag
================================================
#version 450

void foo(inout vec2 p) {}

void main() {
    vec3 x = vec3(2.0);
    x.zxy.xy = vec2(3.0, 4.0);
    x.rg *= 5.0;
    x.zy++;
    foo(x.xz);
}


================================================
FILE: lib/naga/tests/in/image.param.ron
================================================
(
	spv: (
		version: (1, 1),
		debug: true,
	),
	glsl_exclude_list: ["depth_load", "depth_no_comparison", "levels_queries"]
)


================================================
FILE: lib/naga/tests/in/image.wgsl
================================================
@group(0) @binding(0)
var image_mipmapped_src: texture_2d<u32>;
@group(0) @binding(3)
var image_multisampled_src: texture_multisampled_2d<u32>;
@group(0) @binding(4)
var image_depth_multisampled_src: texture_depth_multisampled_2d;
@group(0) @binding(1)
var image_storage_src: texture_storage_2d<rgba8uint, read>;
@group(0) @binding(5)
var image_array_src: texture_2d_array<u32>;
@group(0) @binding(6)
var image_dup_src: texture_storage_1d<r32uint,read>; // for #1307
@group(0) @binding(7)
var image_1d_src: texture_1d<u32>;
@group(0) @binding(2)
var image_dst: texture_storage_1d<r32uint,write>;

@compute @workgroup_size(16)
fn main(
    @builtin(local_invocation_id) local_id: vec3<u32>,
    //TODO: https://github.com/gpuweb/gpuweb/issues/1590
    //@builtin(workgroup_size) wg_size: vec3<u32>
) {
    let dim = textureDimensions(image_storage_src);
    let itc = dim * vec2<i32>(local_id.xy) % vec2<i32>(10, 20);
    let value1 = textureLoad(image_mipmapped_src, itc, i32(local_id.z));
    let value2 = textureLoad(image_multisampled_src, itc, i32(local_id.z));
    let value4 = textureLoad(image_storage_src, itc);
    let value5 = textureLoad(image_array_src, itc, i32(local_id.z), i32(local_id.z) + 1);
    let value6 = textureLoad(image_1d_src, i32(local_id.x), i32(local_id.z));
    textureStore(image_dst, itc.x, value1 + value2 + value4 + value5 + value6);
}

@compute @workgroup_size(16, 1, 1)
fn depth_load(@builtin(local_invocation_id) local_id: vec3<u32>) {
    let dim: vec2<i32> = textureDimensions(image_storage_src);
    let itc: vec2<i32> = ((dim * vec2<i32>(local_id.xy)) % vec2<i32>(10, 20));
    let val: f32 = textureLoad(image_depth_multisampled_src, itc, i32(local_id.z));
    textureStore(image_dst, itc.x, vec4<u32>(u32(val)));
    return;
}

@group(0) @binding(0)
var image_1d: texture_1d<f32>;
@group(0) @binding(1)
var image_2d: texture_2d<f32>;
@group(0) @binding(2)
var image_2d_array: texture_2d_array<f32>;
@group(0) @binding(3)
var image_cube: texture_cube<f32>;
@group(0) @binding(4)
var image_cube_array: texture_cube_array<f32>;
@group(0) @binding(5)
var image_3d: texture_3d<f32>;
@group(0) @binding(6)
var image_aa: texture_multisampled_2d<f32>;

@vertex
fn queries() -> @builtin(position) vec4<f32> {
    let dim_1d = textureDimensions(image_1d);
    let dim_1d_lod = textureDimensions(image_1d, i32(dim_1d));
    let dim_2d = textureDimensions(image_2d);
    let dim_2d_lod = textureDimensions(image_2d, 1);
    let dim_2d_array = textureDimensions(image_2d_array);
    let dim_2d_array_lod = textureDimensions(image_2d_array, 1);
    let dim_cube = textureDimensions(image_cube);
    let dim_cube_lod = textureDimensions(image_cube, 1);
    let dim_cube_array = textureDimensions(image_cube_array);
    let dim_cube_array_lod = textureDimensions(image_cube_array, 1);
    let dim_3d = textureDimensions(image_3d);
    let dim_3d_lod = textureDimensions(image_3d, 1);
    let dim_2s_ms = textureDimensions(image_aa);

    let sum = dim_1d + dim_2d.y + dim_2d_lod.y + dim_2d_array.y + dim_2d_array_lod.y +
        dim_cube.y + dim_cube_lod.y + dim_cube_array.y + dim_cube_array_lod.y +
        dim_3d.z + dim_3d_lod.z;
    return vec4<f32>(f32(sum));
}

@vertex
fn levels_queries() -> @builtin(position) vec4<f32> {
    let num_levels_2d = textureNumLevels(image_2d);
    let num_levels_2d_array = textureNumLevels(image_2d_array);
    let num_layers_2d = textureNumLayers(image_2d_array);
    let num_levels_cube = textureNumLevels(image_cube);
    let num_levels_cube_array = textureNumLevels(image_cube_array);
    let num_layers_cube = textureNumLayers(image_cube_array);
    let num_levels_3d = textureNumLevels(image_3d);
    let num_samples_aa = textureNumSamples(image_aa);

    let sum = num_layers_2d + num_layers_cube + num_samples_aa +
        num_levels_2d + num_levels_2d_array + num_levels_3d + num_levels_cube + num_levels_cube_array;
    return vec4<f32>(f32(sum));
}

@group(1) @binding(0)
var sampler_reg: sampler;

@fragment
fn texture_sample() -> @location(0) vec4<f32> {
    let tc = vec2<f32>(0.5);
    let level = 2.3;
    let s1d = textureSample(image_1d, sampler_reg, tc.x);
    let s2d = textureSample(image_2d, sampler_reg, tc);
    let s2d_offset = textureSample(image_2d, sampler_reg, tc, vec2<i32>(3, 1));
    let s2d_level = textureSampleLevel(image_2d, sampler_reg, tc, level);
    let s2d_level_offset = textureSampleLevel(image_2d, sampler_reg, tc, level, vec2<i32>(3, 1));
    let s2d_bias_offset = textureSampleBias(image_2d, sampler_reg, tc, 2.0, vec2<i32>(3, 1));
    return s1d + s2d + s2d_offset + s2d_level + s2d_level_offset;
}

@group(1) @binding(1)
var sampler_cmp: sampler_comparison;
@group(1) @binding(2)
var image_2d_depth: texture_depth_2d;
@group(1) @binding(3)
var image_cube_depth: texture_depth_cube;

@fragment
fn texture_sample_comparison() -> @location(0) f32 {
    let tc = vec2<f32>(0.5);
    let dref = 0.5;
    let s2d_depth = textureSampleCompare(image_2d_depth, sampler_cmp, tc, dref);
    let s2d_depth_level = textureSampleCompareLevel(image_2d_depth, sampler_cmp, tc, dref);
    let scube_depth_level = textureSampleCompareLevel(image_cube_depth, sampler_cmp, vec3<f32>(0.5), dref);
    return s2d_depth + s2d_depth_level;
}

@fragment
fn gather() -> @location(0) vec4<f32> {
    let tc = vec2<f32>(0.5);
    let dref = 0.5;
    let s2d = textureGather(1, image_2d, sampler_reg, tc);
    let s2d_offset = textureGather(3, image_2d, sampler_reg, tc, vec2<i32>(3, 1));
    let s2d_depth = textureGatherCompare(image_2d_depth, sampler_cmp, tc, dref);
    let s2d_depth_offset = textureGatherCompare(image_2d_depth, sampler_cmp, tc, dref, vec2<i32>(3, 1));
    return s2d + s2d_offset + s2d_depth + s2d_depth_offset;
}

@fragment
fn depth_no_comparison() -> @location(0) vec4<f32> {
    let tc = vec2<f32>(0.5);
    let s2d = textureSample(image_2d_depth, sampler_reg, tc);
    let s2d_gather = textureGather(image_2d_depth, sampler_reg, tc);
    return s2d + s2d_gather;
}


================================================
FILE: lib/naga/tests/in/interface.param.ron
================================================
(
	spv: (
		version: (1, 0),
		capabilities: [ Shader, SampleRateShading ],
		adjust_coordinate_space: false,
		force_point_size: true,
		clamp_frag_depth: true,
		separate_entry_points: true,
	),
	hlsl: (
		shader_model: V5_1,
		binding_map: {},
		fake_missing_bindings: false,
		special_constants_binding: Some((space: 1, register: 0)),
	),
	wgsl: (
		explicit_types: true,
	),
	msl: (
		lang_version: (2, 1),
		per_stage_map: (),
		inline_samplers: [],
		spirv_cross_compatibility: false,
		fake_missing_bindings: false,
	),
	msl_pipeline: (
		allow_point_size: true,
	),
)


================================================
FILE: lib/naga/tests/in/interface.wgsl
================================================
// Testing various parts of the pipeline interface: locations, built-ins, and entry points

struct VertexOutput {
    @builtin(position) @invariant position: vec4<f32>,
    @location(1) _varying: f32,
}

@vertex
fn vertex(
    @builtin(vertex_index) vertex_index: u32,
    @builtin(instance_index) instance_index: u32,
    @location(10) color: u32,
) -> VertexOutput {
    let tmp = vertex_index + instance_index + color;
    return VertexOutput(vec4<f32>(1.0), f32(tmp));
}

struct FragmentOutput {
    @builtin(frag_depth) depth: f32,
    @builtin(sample_mask) sample_mask: u32,
    @location(0) color: f32,
}

@fragment
fn fragment(
    in: VertexOutput,
    @builtin(front_facing) front_facing: bool,
    @builtin(sample_index) sample_index: u32,
    @builtin(sample_mask) sample_mask: u32,
) -> FragmentOutput {
    let mask = sample_mask & (1u << sample_index);
    let color = select(0.0, 1.0, front_facing);
    return FragmentOutput(in._varying, mask, color);
}

var<workgroup> output: array<u32, 1>;

@compute @workgroup_size(1)
fn compute(
    @builtin(global_invocation_id) global_id: vec3<u32>,
    @builtin(local_invocation_id) local_id: vec3<u32>,
    @builtin(local_invocation_index) local_index: u32,
    @builtin(workgroup_id) wg_id: vec3<u32>,
    @builtin(num_workgroups) num_wgs: vec3<u32>,
) {
    output[0] = global_id.x + local_id.x + local_index + wg_id.x + num_wgs.x;
}

struct Input1 {
    @builtin(vertex_index) index: u32,
}

struct Input2 {
    @builtin(instance_index) index: u32,
}

@vertex
fn vertex_two_structs(in1: Input1, in2: Input2) -> @builtin(position) @invariant vec4<f32> {
    var index = 2u;
    return vec4<f32>(f32(in1.index), f32(in2.index), f32(index), 0.0);
}


================================================
FILE: lib/naga/tests/in/interpolate.param.ron
================================================
(
	spv: (
		version: (1, 0),
		capabilities: [ Shader, SampleRateShading ],
		debug: true,
		force_point_size: true,
		adjust_coordinate_space: true,
	),
	glsl: (
		version: Desktop(400),
		writer_flags: (bits: 0),
		binding_map: {},
	),
)


================================================
FILE: lib/naga/tests/in/interpolate.wgsl
================================================
//TODO: merge with "interface"?

struct FragmentInput {
  @builtin(position) position: vec4<f32>,
  @location(0) @interpolate(flat) _flat : u32,
  @location(1) @interpolate(linear) _linear : f32,
  @location(2) @interpolate(linear, centroid) linear_centroid : vec2<f32>,
  @location(3) @interpolate(linear, sample) linear_sample : vec3<f32>,
  @location(4) @interpolate(perspective) perspective : vec4<f32>,
  @location(5) @interpolate(perspective, centroid) perspective_centroid : f32,
  @location(6) @interpolate(perspective, sample) perspective_sample : f32,
}

@vertex
fn vert_main() -> FragmentInput {
   var out: FragmentInput;

   out.position = vec4<f32>(2.0, 4.0, 5.0, 6.0);
   out._flat = 8u;
   out._linear = 27.0;
   out.linear_centroid = vec2<f32>(64.0, 125.0);
   out.linear_sample = vec3<f32>(216.0, 343.0, 512.0);
   out.perspective = vec4<f32>(729.0, 1000.0, 1331.0, 1728.0);
   out.perspective_centroid = 2197.0;
   out.perspective_sample = 2744.0;

   return out;
}

@fragment
fn frag_main(val : FragmentInput) { }


================================================
FILE: lib/naga/tests/in/lexical-scopes.wgsl
================================================
fn blockLexicalScope(a: bool) {
    let a = 1.0;
    {
        let a = 2;
        {
            let a = true;
        }
        let test = a == 3;
    }
    let test = a == 2.0;
}

fn ifLexicalScope(a: bool) {
    let a = 1.0;
    if (a == 1.0) {
        let a = true;
    }
    let test = a == 2.0;
}


fn loopLexicalScope(a: bool) {
    let a = 1.0;
    loop {
        let a = true;
    }
    let test = a == 2.0;
}

fn forLexicalScope(a: f32) {
    let a = false;
    for (var a = 0; a < 1; a++) {
        let a = 3.0;
    }
    let test = a == true;
}

fn whileLexicalScope(a: i32) {
    while (a > 2) {
        let a = false;
    }
    let test = a == 1;
}

fn switchLexicalScope(a: i32) {
    switch (a) {
        case 0 {
            let a = false;
        }
        case 1 {
            let a = 2.0;
        }
        default {
            let a = true;
        }
    }
    let test = a == 2;
}


================================================
FILE: lib/naga/tests/in/math-functions.param.ron
================================================
(
)


================================================
FILE: lib/naga/tests/in/math-functions.wgsl
================================================
@vertex
fn main() {
    let f = 1.0;
    let v = vec4<f32>(0.0);
    let a = degrees(f);
    let b = radians(f);
    let c = degrees(v);
    let d = radians(v);
    let e = saturate(v);
    let const_dot = dot(vec2<i32>(), vec2<i32>());
    let first_leading_bit_abs = firstLeadingBit(abs(0u));
}


================================================
FILE: lib/naga/tests/in/multiview.param.ron
================================================
(
	glsl_multiview: Some(2),
)


================================================
FILE: lib/naga/tests/in/multiview.wgsl
================================================
@vertex 
fn main(@builtin(view_index) view_index: i32) {}


================================================
FILE: lib/naga/tests/in/multiview_webgl.param.ron
================================================
(
    glsl: (
		version: Embedded (
            version: 300,
			is_webgl: true
		),
		writer_flags: (bits: 0),
		binding_map: {},
	),
	glsl_multiview: Some(2),
)


================================================
FILE: lib/naga/tests/in/multiview_webgl.wgsl
================================================
@vertex 
fn main(@builtin(view_index) view_index: i32) {}


================================================
FILE: lib/naga/tests/in/operators.param.ron
================================================
(
)


================================================
FILE: lib/naga/tests/in/operators.wgsl
================================================
//TODO: support splatting constructors for globals?
let v_f32_one = vec4<f32>(1.0, 1.0, 1.0, 1.0);
let v_f32_zero = vec4<f32>(0.0, 0.0, 0.0, 0.0);
let v_f32_half = vec4<f32>(0.5, 0.5, 0.5, 0.5);
let v_i32_one = vec4<i32>(1, 1, 1, 1);

fn builtins() -> vec4<f32> {
    // select()
    let condition = true;
    let s1 = select(0, 1, condition);
    let s2 = select(v_f32_zero, v_f32_one, condition);
    let s3 = select(v_f32_one, v_f32_zero, vec4<bool>(false, false, false, false));
    // mix()
    let m1 = mix(v_f32_zero, v_f32_one, v_f32_half);
    let m2 = mix(v_f32_zero, v_f32_one, 0.1);
    // bitcast()
    let b1 = bitcast<f32>(v_i32_one.x);
    let b2 = bitcast<vec4<f32>>(v_i32_one);
    // convert
    let v_i32_zero = vec4<i32>(v_f32_zero);
    // done
    return vec4<f32>(vec4<i32>(s1) + v_i32_zero) + s2 + m1 + m2 + b1 + b2;
}

fn splat() -> vec4<f32> {
    let a = (1.0 + vec2<f32>(2.0) - 3.0) / 4.0;
    let b = vec4<i32>(5) % 2;
    return a.xyxy + vec4<f32>(b);
}

fn splat_assignment() -> vec2<f32> {
    var a = vec2<f32>(2.0);
    a += 1.0;
    a -= 3.0;
    a /= 4.0;
    return a;
}

fn bool_cast(x: vec3<f32>) -> vec3<f32> {
    let y = vec3<bool>(x);
    return vec3<f32>(y);
}

struct Foo {
    a: vec4<f32>,
    b: i32,
}

fn constructors() -> f32 {
    var foo: Foo;
    foo = Foo(vec4<f32>(1.0), 1);

    let mat2comp = mat2x2<f32>(
        1.0, 0.0,
        0.0, 1.0,
    );
    let mat4comp = mat4x4<f32>(
        1.0, 0.0, 0.0, 0.0,
        0.0, 1.0, 0.0, 0.0,
        0.0, 0.0, 1.0, 0.0,
        0.0, 0.0, 0.0, 1.0,
    );

    // zero value constructors
    _ = bool();
    _ = i32();
    _ = u32();
    _ = f32();
    _ = vec2<u32>();
    _ = mat2x2<f32>();
    _ = array<Foo, 3>();
    _ = Foo();

    // constructors that infer their type from their parameters
    _ = vec2(0u);
    _ = mat2x2(vec2(0.), vec2(0.));
    _ = array(0, 1, 2, 3);

    // identity constructors
    _ = bool(bool());
    _ = i32(i32());
    _ = u32(u32());
    _ = f32(f32());
    _ = vec2<u32>(vec2<u32>());
    _ = mat2x3<f32>(mat2x3<f32>());
    _ = vec2(vec2<u32>());
    _ = mat2x3(mat2x3<f32>());

    return foo.a.x;
}

fn logical() {
    // unary
    _ = !true;
    _ = !vec2(true);

    // binary
    _ = true || false;
    _ = true && false;
    _ = true | false;
    _ = vec3(true) | vec3(false);
    _ = true & false;
    _ = vec4(true) & vec4(false);
}

fn arithmetic() {
    // unary
    // TODO: uncomment when we get the changes from https://github.com/gfx-rs/rspirv/pull/231
    // _ = -1;
    _ = -1.0;
    _ = -vec2(1);
    _ = -vec2(1.0);

    // binary
    // Addition
    _ = 2 + 1;
    _ = 2u + 1u;
    _ = 2.0 + 1.0;
    _ = vec2(2) + vec2(1);
    _ = vec3(2u) + vec3(1u);
    _ = vec4(2.0) + vec4(1.0);

    // Subtraction
    _ = 2 - 1;
    _ = 2u - 1u;
    _ = 2.0 - 1.0;
    _ = vec2(2) - vec2(1);
    _ = vec3(2u) - vec3(1u);
    _ = vec4(2.0) - vec4(1.0);

    // Multiplication
    _ = 2 * 1;
    _ = 2u * 1u;
    _ = 2.0 * 1.0;
    _ = vec2(2) * vec2(1);
    _ = vec3(2u) * vec3(1u);
    _ = vec4(2.0) * vec4(1.0);

    // Division
    _ = 2 / 1;
    _ = 2u / 1u;
    _ = 2.0 / 1.0;
    _ = vec2(2) / vec2(1);
    _ = vec3(2u) / vec3(1u);
    _ = vec4(2.0) / vec4(1.0);

    // Remainder
    _ = 2 % 1;
    _ = 2u % 1u;
    _ = 2.0 % 1.0;
    _ = vec2(2) % vec2(1);
    _ = vec3(2u) % vec3(1u);
    _ = vec4(2.0) % vec4(1.0);

    // Binary arithmetic expressions with mixed scalar and vector operands
    _ = vec2(2) + 1;
    _ = 2 + vec2(1);
    _ = vec2(2u) + 1u;
    _ = 2u + vec2(1u);
    _ = vec2(2.0) + 1.0;
    _ = 2.0 + vec2(1.0);

    _ = vec2(2) - 1;
    _ = 2 - vec2(1);
    _ = vec2(2u) - 1u;
    _ = 2u - vec2(1u);
    _ = vec2(2.0) - 1.0;
    _ = 2.0 - vec2(1.0);

    _ = vec2(2) * 1;
    _ = 2 * vec2(1);
    _ = vec2(2u) * 1u;
    _ = 2u * vec2(1u);
    _ = vec2(2.0) * 1.0;
    _ = 2.0 * vec2(1.0);

    _ = vec2(2) / 1;
    _ = 2 / vec2(1);
    _ = vec2(2u) / 1u;
    _ = 2u / vec2(1u);
    _ = vec2(2.0) / 1.0;
    _ = 2.0 / vec2(1.0);

    _ = vec2(2) % 1;
    _ = 2 % vec2(1);
    _ = vec2(2u) % 1u;
    _ = 2u % vec2(1u);
    _ = vec2(2.0) % 1.0;
    _ = 2.0 % vec2(1.0);

    // Matrix arithmetic
    _ = mat3x3<f32>() + mat3x3<f32>();
    _ = mat3x3<f32>() - mat3x3<f32>();

    _ = mat3x3<f32>() * 1.0;
    _ = 2.0 * mat3x3<f32>();

    _ = mat4x3<f32>() * vec4(1.0);
    _ = vec3(2.0) * mat4x3<f32>();

    _ = mat4x3<f32>() * mat3x4<f32>();
}

fn bit() {
    // unary
    _ = ~1;
    _ = ~1u;
    _ = ~vec2(1);
    _ = ~vec3(1u);

    // binary
    _ = 2 | 1;
    _ = 2u | 1u;
    _ = vec2(2) | vec2(1);
    _ = vec3(2u) | vec3(1u);

    _ = 2 & 1;
    _ = 2u & 1u;
    _ = vec2(2) & vec2(1);
    _ = vec3(2u) & vec3(1u);

    _ = 2 ^ 1;
    _ = 2u ^ 1u;
    _ = vec2(2) ^ vec2(1);
    _ = vec3(2u) ^ vec3(1u);

    _ = 2 << 1u;
    _ = 2u << 1u;
    _ = vec2(2) << vec2(1u);
    _ = vec3(2u) << vec3(1u);

    _ = 2 >> 1u;
    _ = 2u >> 1u;
    _ = vec2(2) >> vec2(1u);
    _ = vec3(2u) >> vec3(1u);
}

fn comparison() {
    _ = 2 == 1;
    _ = 2u == 1u;
    _ = 2.0 == 1.0;
    _ = vec2(2) == vec2(1);
    _ = vec3(2u) == vec3(1u);
    _ = vec4(2.0) == vec4(1.0);

    _ = 2 != 1;
    _ = 2u != 1u;
    _ = 2.0 != 1.0;
    _ = vec2(2) != vec2(1);
    _ = vec3(2u) != vec3(1u);
    _ = vec4(2.0) != vec4(1.0);

    _ = 2 < 1;
    _ = 2u < 1u;
    _ = 2.0 < 1.0;
    _ = vec2(2) < vec2(1);
    _ = vec3(2u) < vec3(1u);
    _ = vec4(2.0) < vec4(1.0);

    _ = 2 <= 1;
    _ = 2u <= 1u;
    _ = 2.0 <= 1.0;
    _ = vec2(2) <= vec2(1);
    _ = vec3(2u) <= vec3(1u);
    _ = vec4(2.0) <= vec4(1.0);

    _ = 2 > 1;
    _ = 2u > 1u;
    _ = 2.0 > 1.0;
    _ = vec2(2) > vec2(1);
    _ = vec3(2u) > vec3(1u);
    _ = vec4(2.0) > vec4(1.0);

    _ = 2 >= 1;
    _ = 2u >= 1u;
    _ = 2.0 >= 1.0;
    _ = vec2(2) >= vec2(1);
    _ = vec3(2u) >= vec3(1u);
    _ = vec4(2.0) >= vec4(1.0);
}

fn assignment() {
    var a = 1;

    a += 1;
    a -= 1;
    a *= a;
    a /= a;
    a %= 1;
    a &= 0;
    a |= 0;
    a ^= 0;
    a <<= 2u;
    a >>= 1u;

    a++;
    a--;

    var vec0: vec3<i32> = vec3<i32>();
    vec0[1]++;
    vec0[1]--;
}

@compute @workgroup_size(1)
fn main() {
    _ = builtins();
    _ = splat();
    _ = bool_cast(v_f32_one.xyz);
    _ = constructors();

    logical();
    arithmetic();
    bit();
    comparison();
    assignment();
}


================================================
FILE: lib/naga/tests/in/padding.param.ron
================================================
(
	spv: (
		version: (1, 1),
		debug: true,
		adjust_coordinate_space: false,
	),
	msl: (
		lang_version: (2, 0),
		per_stage_map: (
			vs: (
				resources: {
					(group: 0, binding: 0): (buffer: Some(0), mutable: false),
                    (group: 0, binding: 1): (buffer: Some(1), mutable: false),
                    (group: 0, binding: 2): (buffer: Some(2), mutable: false),
				},
			),
		),
		inline_samplers: [],
		spirv_cross_compatibility: false,
		fake_missing_bindings: false,
	),
)


================================================
FILE: lib/naga/tests/in/padding.wgsl
================================================
struct S {
    a: vec3<f32>,
}

struct Test {
    a: S,
    b: f32, // offset: 16
}

struct Test2 {
    a: array<vec3<f32>, 2>,
    b: f32, // offset: 32
}

struct Test3 {
    a: mat4x3<f32>,
    b: f32, // offset: 64
}

@group(0) @binding(0)
var<uniform> input1: Test;

@group(0) @binding(1)
var<uniform> input2: Test2;

@group(0) @binding(2)
var<uniform> input3: Test3;


@vertex
fn vertex() -> @builtin(position) vec4<f32> {
    return vec4<f32>(1.0) * input1.b * input2.b * input3.b;
}


================================================
FILE: lib/naga/tests/in/pointers.param.ron
================================================
(
	bounds_check_policies: (
		image: ReadZeroSkipWrite,
	),
	spv: (
		version: (1, 2),
		debug: true,
		adjust_coordinate_space: false,
	),
)


================================================
FILE: lib/naga/tests/in/pointers.wgsl
================================================
fn f() {
   var v: vec2<i32>;
   let px = &v.x;
   *px = 10;
}

struct DynamicArray {
    arr: array<u32>
}

@group(0) @binding(0)
var<storage, read_write> dynamic_array: DynamicArray;

fn index_unsized(i: i32, v: u32) {
   let p: ptr<storage, DynamicArray, read_write> = &dynamic_array;

   let val = (*p).arr[i];
   (*p).arr[i] = val + v;
}

fn index_dynamic_array(i: i32, v: u32) {
   let p: ptr<storage, array<u32>, read_write> = &dynamic_array.arr;

   let val = (*p)[i];
   (*p)[i] = val + v;
}


================================================
FILE: lib/naga/tests/in/policy-mix.param.ron
================================================
(
	bounds_check_policies: (
		index: Restrict,
		buffer: Unchecked,
		image: ReadZeroSkipWrite,
	),
	spv: (
		version: (1, 1),
		debug: true,
	),
)


================================================
FILE: lib/naga/tests/in/policy-mix.wgsl
================================================
// Tests that the index, buffer, and texture bounds checks policies are
// implemented separately.

// Storage and Uniform storage classes
struct InStorage {
  a: array<vec4<f32>, 10>
}
@group(0) @binding(0) var<storage> in_storage: InStorage;

struct InUniform {
  a: array<vec4<f32>, 20>
}
@group(0) @binding(1) var<uniform> in_uniform: InUniform;

// Textures automatically land in the `handle` storage class.
@group(0) @binding(2) var image_2d_array: texture_2d_array<f32>;

// None of the above.
var<workgroup> in_workgroup: array<f32, 30>;
var<private> in_private: array<f32, 40>;

fn mock_function(c: vec2<i32>, i: i32, l: i32) -> vec4<f32> {
  var in_function: array<vec4<f32>, 2> =
    array<vec4<f32>, 2>(vec4<f32>(0.707, 0.0, 0.0, 1.0),
                        vec4<f32>(0.0, 0.707, 0.0, 1.0));

  return (in_storage.a[i] +
          in_uniform.a[i] +
          textureLoad(image_2d_array, c, i, l) +
          in_workgroup[i] +
          in_private[i] +
          in_function[i]);
}


================================================
FILE: lib/naga/tests/in/push-constants.param.ron
================================================
(
	god_mode: true,
	glsl: (
		version: Embedded(
			version: 320,
			is_webgl: false
		),
		writer_flags: (bits: 0),
		binding_map: {},
	),
	hlsl: (
		shader_model: V5_1,
		binding_map: {},
		fake_missing_bindings: true,
		special_constants_binding: Some((space: 1, register: 0)),
		push_constants_target: Some((space: 0, register: 0)),
	),
)


================================================
FILE: lib/naga/tests/in/push-constants.wgsl
================================================
struct PushConstants {
    multiplier: f32
}
var<push_constant> pc: PushConstants;

struct FragmentIn {
    @location(0) color: vec4<f32>
}

@vertex
fn vert_main(
  @location(0) pos : vec2<f32>,
  @builtin(vertex_index) vi: u32,
) -> @builtin(position) vec4<f32> {
    return vec4<f32>(f32(vi) * pc.multiplier * pos, 0.0, 1.0);
}

@fragment
fn main(in: FragmentIn) -> @location(0) vec4<f32> {
    return in.color * pc.multiplier;
}


================================================
FILE: lib/naga/tests/in/quad.param.ron
================================================
(
	spv: (
		version: (1, 0),
		debug: true,
		adjust_coordinate_space: true,
	),
	glsl: (
		version: Embedded(
			version: 300,
			is_webgl: false
		),
		writer_flags: (bits: 0),
		binding_map: {},
	),
)


================================================
FILE: lib/naga/tests/in/quad.wgsl
================================================
// vertex
let c_scale: f32 = 1.2;

struct VertexOutput {
  @location(0) uv : vec2<f32>,
  @builtin(position) position : vec4<f32>,
}

@vertex
fn vert_main(
  @location(0) pos : vec2<f32>,
  @location(1) uv : vec2<f32>,
) -> VertexOutput {
  return VertexOutput(uv, vec4<f32>(c_scale * pos, 0.0, 1.0));
}

// fragment
@group(0) @binding(0) var u_texture : texture_2d<f32>;
@group(0) @binding(1) var u_sampler : sampler;

@fragment
fn frag_main(@location(0) uv : vec2<f32>) -> @location(0) vec4<f32> {
  let color = textureSample(u_texture, u_sampler, uv);
  if color.a == 0.0 {
    discard;
  }
  // forcing the expression here to be emitted in order to check the
  // uniformity of the control flow a bit more strongly.
  let premultiplied = color.a * color;
  return premultiplied;
}


// We need to make sure that backends are successfully handling multiple entry points for the same shader stage. 
@fragment
fn fs_extra() -> @location(0) vec4<f32> {
    return vec4<f32>(0.0, 0.5, 0.0, 0.5);
}


================================================
FILE: lib/naga/tests/in/shadow.param.ron
================================================
(
	spv: (
		version: (1, 2),
		debug: true,
		adjust_coordinate_space: true,
	),
)


================================================
FILE: lib/naga/tests/in/shadow.wgsl
================================================
struct Globals {
    view_proj: mat4x4<f32>,
    num_lights: vec4<u32>,
}

@group(0)
@binding(0)
var<uniform> u_globals: Globals;

struct Entity {
    world: mat4x4<f32>,
    color: vec4<f32>,
}

@group(1)
@binding(0)
var<uniform> u_entity: Entity;

/* Not useful for testing
@vertex
fn vs_bake(@location(0) position: vec4<i32>) -> @builtin(position) vec4<f32> {
    return u_globals.view_proj * u_entity.world * vec4<f32>(position);
}
*/

struct VertexOutput {
    @builtin(position) proj_position: vec4<f32>,
    @location(0) world_normal: vec3<f32>,
    @location(1) world_position: vec4<f32>,
}

@vertex
fn vs_main(
    @location(0) position: vec4<i32>,
    @location(1) normal: vec4<i32>,
) -> VertexOutput {
    let w = u_entity.world;
    let world_pos = u_entity.world * vec4<f32>(position);
    var out: VertexOutput;
    out.world_normal = mat3x3<f32>(w.x.xyz, w.y.xyz, w.z.xyz) * vec3<f32>(normal.xyz);
    out.world_position = world_pos;
    out.proj_position = u_globals.view_proj * world_pos;
    return out;
}

// fragment shader

struct Light {
    proj: mat4x4<f32>,
    pos: vec4<f32>,
    color: vec4<f32>,
}

@group(0)
@binding(1)
var<storage, read> s_lights: array<Light>;
@group(0)
@binding(1)
var<uniform> u_lights: array<Light, 10>; // Used when storage types are not supported
@group(0)
@binding(2)
var t_shadow: texture_depth_2d_array;
@group(0)
@binding(3)
var sampler_shadow: sampler_comparison;

fn fetch_shadow(light_id: u32, homogeneous_coords: vec4<f32>) -> f32 {
    if (homogeneous_coords.w <= 0.0) {
        return 1.0;
    }
    // compensate for the Y-flip difference between the NDC and texture coordinates
    let flip_correction = vec2<f32>(0.5, -0.5);
    // compute texture coordinates for shadow lookup
    let proj_correction = 1.0 / homogeneous_coords.w;
    let light_local = homogeneous_coords.xy * flip_correction * proj_correction + vec2<f32>(0.5, 0.5);
    // do the lookup, using HW PCF and comparison
    return textureSampleCompareLevel(t_shadow, sampler_shadow, light_local, i32(light_id), homogeneous_coords.z * proj_correction);
}

let c_ambient: vec3<f32> = vec3<f32>(0.05, 0.05, 0.05);
let c_max_lights: u32 = 10u;

@fragment
fn fs_main(in: VertexOutput) -> @location(0) vec4<f32> {
    let normal = normalize(in.world_normal);
    // accumulate color
    var color: vec3<f32> = c_ambient;
    for(var i = 0u; i < min(u_globals.num_lights.x, c_max_lights); i++) {
        let light = s_lights[i];
        // project into the light space
        let shadow = fetch_shadow(i, light.proj * in.world_position);
        // compute Lambertian diffuse term
        let light_dir = normalize(light.pos.xyz - in.world_position.xyz);
        let diffuse = max(0.0, dot(normal, light_dir));
        // add light contribution
        color += shadow * diffuse * light.color.xyz;
    }
    // multiply the light by material color
    return vec4<f32>(color, 1.0) * u_entity.color;
}

// The fragment entrypoint used when storage buffers are not available for the lights
@fragment
fn fs_main_without_storage(in: VertexOutput) -> @location(0) vec4<f32> {
    let normal = normalize(in.world_normal);
    var color: vec3<f32> = c_ambient;
    for(var i = 0u; i < min(u_globals.num_lights.x, c_max_lights); i++) {
        // This line is the only difference from the entrypoint above. It uses the lights
        // uniform instead of the lights storage buffer
        let light = u_lights[i];
        let shadow = fetch_shadow(i, light.proj * in.world_position);
        let light_dir = normalize(light.pos.xyz - in.world_position.xyz);
        let diffuse = max(0.0, dot(normal, light_dir));
        color += shadow * diffuse * light.color.xyz;
    }
    return vec4<f32>(color, 1.0) * u_entity.color;
}


================================================
FILE: lib/naga/tests/in/skybox.param.ron
================================================
(
	spv_flow_dump_prefix: "",
	spv: (
		version: (1, 0),
		debug: false,
		adjust_coordinate_space: false,
	),
	msl: (
		lang_version: (2, 1),
		per_stage_map: (
			vs: (
				resources: {
					(group: 0, binding: 0): (buffer: Some(0)),
				},
			),
			fs: (
				resources: {
					(group: 0, binding: 1): (texture: Some(0)),
					(group: 0, binding: 2): (sampler: Some(Inline(0))),
				},
			),
		),
		inline_samplers: [
			(
				coord: Normalized,
				address: (ClampToEdge, ClampToEdge, ClampToEdge),
				mag_filter: Linear,
				min_filter: Linear,
				mip_filter: None,
				border_color: TransparentBlack,
				compare_func: Never,
				lod_clamp: Some((start: 0.5, end: 10.0)),
				max_anisotropy: Some(8),
			),
		],
		spirv_cross_compatibility: false,
		fake_missing_bindings: false,
	),
	glsl: (
		version: Embedded(
			version: 320,
			is_webgl: false
		),
		writer_flags: (bits: 0),
		binding_map: {
			(group: 0, binding: 0): 0,
			(group: 0, binding: 1): 0,
		},
	),
	hlsl: (
		shader_model: V5_1,
		binding_map: {
			(group: 0, binding: 0): (space: 0, register: 0),
			(group: 0, binding: 1): (space: 0, register: 0),
			(group: 0, binding: 2): (space: 1, register: 0),
		},
		fake_missing_bindings: false,
		special_constants_binding: Some((space: 0, register: 1)),
	),
)


================================================
FILE: lib/naga/tests/in/skybox.wgsl
================================================
struct VertexOutput {
    @builtin(position) position: vec4<f32>,
    @location(0) uv: vec3<f32>,
}

struct Data {
    proj_inv: mat4x4<f32>,
    view: mat4x4<f32>,
}
@group(0) @binding(0)
var<uniform> r_data: Data;

@vertex
fn vs_main(@builtin(vertex_index) vertex_index: u32) -> VertexOutput {
    // hacky way to draw a large triangle
    var tmp1 = i32(vertex_index) / 2;
    var tmp2 = i32(vertex_index) & 1;
    let pos = vec4<f32>(
        f32(tmp1) * 4.0 - 1.0,
        f32(tmp2) * 4.0 - 1.0,
        0.0,
        1.0,
    );

    let inv_model_view = transpose(mat3x3<f32>(r_data.view.x.xyz, r_data.view.y.xyz, r_data.view.z.xyz));
    let unprojected = r_data.proj_inv * pos;
    return VertexOutput(pos, inv_model_view * unprojected.xyz);
}

@group(0) @binding(1)
var r_texture: texture_cube<f32>;
@group(0) @binding(2)
var r_sampler: sampler;

@fragment
fn fs_main(in: VertexOutput) -> @location(0) vec4<f32> {
    return textureSample(r_texture, r_sampler, in.uv);
}


================================================
FILE: lib/naga/tests/in/spv/empty-global-name.spvasm
================================================
;; Make sure we handle globals whose assigned name is "".
;;
;; In MSL, the anonymous global sometimes ends up looking like
;;
;;     struct Blah { int member; } ;
;;
;; where the null name just becomes an empty string before that last semicolon.
;; This is, unfortunately, valid MSL, simply declaring the type Blah, so it will
;; pass validation. However, an attempt to *use* the global will generate a
;; garbage expression like ".member", so we include a function that returns the
;; member's value.

                        OpCapability Shader
                        OpMemoryModel Logical GLSL450
                        OpEntryPoint GLCompute %main "main" %global
                        OpExecutionMode %main LocalSize 1 1 1

                        OpName %global ""
                        OpDecorate %block Block
                        OpMemberDecorate %block 0 Offset 0
                        OpDecorate %global DescriptorSet 0
                        OpDecorate %global Binding 0

                %void = OpTypeVoid
                 %int = OpTypeInt 32 1
               %block = OpTypeStruct %int
             %ptr_int = OpTypePointer StorageBuffer %int
           %ptr_block = OpTypePointer StorageBuffer %block
             %fn_void = OpTypeFunction %void
              %fn_int = OpTypeFunction %int
                %zero = OpConstant %int 0
                 %one = OpConstant %int 1

;; This global is said to have a name of "".
              %global = OpVariable %ptr_block StorageBuffer

                %main = OpFunction %void None %fn_void
        %main_prelude = OpLabel
          %member_ptr = OpAccessChain %ptr_int %global %zero
          %member_val = OpLoad %int %member_ptr
            %plus_one = OpIAdd %int %member_val %one
                        OpStore %member_ptr %plus_one
                        OpReturn
                        OpFunctionEnd


================================================
FILE: lib/naga/tests/in/standard.param.ron
================================================
(
)


================================================
FILE: lib/naga/tests/in/standard.wgsl
================================================
// Standard functions.

@fragment
fn derivatives(@builtin(position) foo: vec4<f32>) -> @location(0) vec4<f32> {
    let x = dpdx(foo);
    let y = dpdy(foo);
    let z = fwidth(foo);
    return (x + y) * z;
}


================================================
FILE: lib/naga/tests/in/texture-arg.param.ron
================================================
(
	spv: (
		version: (1, 0),
		debug: true,
		adjust_coordinate_space: true,
	),
)


================================================
FILE: lib/naga/tests/in/texture-arg.wgsl
================================================
@group(0) @binding(0)
var Texture: texture_2d<f32>;
@group(0) @binding(1)
var Sampler: sampler;

fn test(Passed_Texture: texture_2d<f32>, Passed_Sampler: sampler) -> vec4<f32> {
    return textureSample(Passed_Texture, Passed_Sampler, vec2<f32>(0.0, 0.0));
}

@fragment
fn main() -> @location(0) vec4<f32> {
    return test(Texture, Sampler);
}


================================================
FILE: lib/naga/tests/in/variations.glsl
================================================
#version 460 core

layout(set = 0, binding = 0) uniform textureCube texCube;
layout(set = 0, binding = 1) uniform sampler samp;

void main() {
    ivec2 sizeCube = textureSize(samplerCube(texCube, samp), 0);
    float a = ceil(1.0);
}


================================================
FILE: lib/naga/tests/out/analysis/collatz.info.ron
================================================
(
    functions: [
        (
            flags: (
                bits: 31,
            ),
            available_stages: (
                bits: 7,
            ),
            uniformity: (
                non_uniform_result: Some(5),
                requirements: (
                    bits: 0,
                ),
            ),
            may_kill: false,
            sampling_set: [],
            global_uses: [
                (
                    bits: 0,
                ),
            ],
            expressions: [
                (
                    uniformity: (
                        non_uniform_result: Some(1),
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                            bits: 0,
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                    ref_count: 0,
                    assignable_global: Some(1),
                    ty: Value(Pointer(
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                                bits: 3,
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                ),
                (
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                            bits: 0,
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                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(1),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(3),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 7,
                    assignable_global: None,
                    ty: Value(Pointer(
                        base: 1,
                        space: Function,
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: None,
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 0,
                    assignable_global: None,
                    ty: Value(Scalar(
                        kind: Uint,
                        width: 4,
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(5),
                        requirements: (
                            bits: 0,
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                    ref_count: 3,
                    assignable_global: None,
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                        requirements: (
                            bits: 0,
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                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(1),
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                (
                    uniformity: (
                        non_uniform_result: None,
                        requirements: (
                            bits: 0,
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                    ref_count: 1,
                    assignable_global: None,
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                    ),
                    ref_count: 1,
                    assignable_global: None,
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                        kind: Bool,
                        width: 1,
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                (
                    uniformity: (
                        non_uniform_result: Some(3),
                        requirements: (
                            bits: 0,
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                    ref_count: 1,
                    assignable_global: None,
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                (
                    uniformity: (
                        non_uniform_result: None,
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                            bits: 0,
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                    ref_count: 1,
                    assignable_global: None,
                    ty: Value(Scalar(
                        kind: Uint,
                        width: 4,
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                ),
                (
                    uniformity: (
                        non_uniform_result: Some(3),
                        requirements: (
                            bits: 0,
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                    ref_count: 1,
                    assignable_global: None,
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                (
                    uniformity: (
                        non_uniform_result: None,
                        requirements: (
                            bits: 0,
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                    ref_count: 1,
                    assignable_global: None,
                    ty: Value(Scalar(
                        kind: Uint,
                        width: 4,
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                    uniformity: (
                        non_uniform_result: Some(3),
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                    ref_count: 1,
                    assignable_global: None,
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                        kind: Bool,
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                (
                    uniformity: (
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                        requirements: (
                            bits: 0,
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                    assignable_global: None,
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                (
                    uniformity: (
                        non_uniform_result: None,
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                            bits: 0,
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                    ref_count: 1,
                    assignable_global: None,
                    ty: Value(Scalar(
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                (
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                        requirements: (
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                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(1),
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                (
                    uniformity: (
                        non_uniform_result: None,
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                            bits: 0,
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                    ref_count: 1,
                    assignable_global: None,
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                    ref_count: 1,
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                (
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                    assignable_global: None,
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                    ref_count: 1,
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                (
                    uniformity: (
                        non_uniform_result: None,
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                            bits: 0,
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                    ref_count: 1,
                    assignable_global: None,
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                        width: 4,
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                ),
                (
                    uniformity: (
                        non_uniform_result: Some(5),
                        requirements: (
                            bits: 0,
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                    ),
                    ref_count: 1,
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                (
                    uniformity: (
                        non_uniform_result: Some(5),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(1),
                ),
            ],
            sampling: [],
        ),
    ],
    entry_points: [
        (
            flags: (
                bits: 31,
            ),
            available_stages: (
                bits: 7,
            ),
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                non_uniform_result: Some(5),
                requirements: (
                    bits: 0,
                ),
            ),
            may_kill: false,
            sampling_set: [],
            global_uses: [
                (
                    bits: 3,
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            ],
            expressions: [
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                    uniformity: (
                        non_uniform_result: Some(1),
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                            bits: 0,
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                    ref_count: 2,
                    assignable_global: Some(1),
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                        space: Storage(
                            access: (
                                bits: 3,
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                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(2),
                        requirements: (
                            bits: 0,
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                    ref_count: 2,
                    assignable_global: None,
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                    uniformity: (
                        non_uniform_result: Some(1),
                        requirements: (
                            bits: 0,
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                    ref_count: 1,
                    assignable_global: Some(1),
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                        base: 2,
                        space: Storage(
                            access: (
                                bits: 3,
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                    )),
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                (
                    uniformity: (
                        non_uniform_result: Some(2),
                        requirements: (
                            bits: 0,
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                        kind: Uint,
                        width: 4,
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                (
                    uniformity: (
                        non_uniform_result: Some(1),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(1),
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                        base: 1,
                        space: Storage(
                            access: (
                                bits: 3,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(1),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(1),
                    ty: Value(Pointer(
                        base: 2,
                        space: Storage(
                            access: (
                                bits: 3,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(2),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Value(Scalar(
                        kind: Uint,
                        width: 4,
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(1),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(1),
                    ty: Value(Pointer(
                        base: 1,
                        space: Storage(
                            access: (
                                bits: 3,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(1),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(1),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(5),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(1),
                ),
            ],
            sampling: [],
        ),
    ],
)

================================================
FILE: lib/naga/tests/out/analysis/shadow.info.ron
================================================
(
    functions: [
        (
            flags: (
                bits: 31,
            ),
            available_stages: (
                bits: 7,
            ),
            uniformity: (
                non_uniform_result: Some(4),
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                    bits: 0,
                ),
            ),
            may_kill: false,
            sampling_set: [
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                    image: 1,
                    sampler: 2,
                ),
            ],
            global_uses: [
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                    bits: 1,
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                (
                    bits: 1,
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                    bits: 0,
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                    bits: 0,
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                    assignable_global: None,
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                (
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                        kind: Sint,
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                (
                    uniformity: (
                        non_uniform_result: None,
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 2,
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                (
                    uniformity: (
                        non_uniform_result: None,
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(4),
                    ty: Value(Pointer(
                        base: 19,
                        space: Storage(
                            access: (
                                bits: 1,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(3),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(4),
                    ty: Value(Pointer(
                        base: 18,
                        space: Storage(
                            access: (
                                bits: 1,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(4),
                    ty: Value(Pointer(
                        base: 4,
                        space: Storage(
                            access: (
                                bits: 1,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(4),
                    ty: Value(ValuePointer(
                        size: None,
                        kind: Float,
                        width: 4,
                        space: Storage(
                            access: (
                                bits: 1,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Value(Scalar(
                        kind: Float,
                        width: 4,
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: None,
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(4),
                    ty: Value(Pointer(
                        base: 19,
                        space: Storage(
                            access: (
                                bits: 1,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(3),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(4),
                    ty: Value(Pointer(
                        base: 18,
                        space: Storage(
                            access: (
                                bits: 1,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(4),
                    ty: Value(Pointer(
                        base: 4,
                        space: Storage(
                            access: (
                                bits: 1,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(4),
                    ty: Value(ValuePointer(
                        size: None,
                        kind: Float,
                        width: 4,
                        space: Storage(
                            access: (
                                bits: 1,
                            ),
                        ),
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Value(Scalar(
                        kind: Float,
                        width: 4,
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(2),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(2),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(47),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(2),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(3),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(48),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(3),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(47),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(2),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(47),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(4),
                ),
            ],
            sampling: [],
        ),
    ],
    entry_points: [
        (
            flags: (
                bits: 31,
            ),
            available_stages: (
                bits: 7,
            ),
            uniformity: (
                non_uniform_result: Some(4),
                requirements: (
                    bits: 0,
                ),
            ),
            may_kill: false,
            sampling_set: [
                (
                    image: 1,
                    sampler: 2,
                ),
            ],
            global_uses: [
                (
                    bits: 1,
                ),
                (
                    bits: 1,
                ),
                (
                    bits: 1,
                ),
                (
                    bits: 1,
                ),
                (
                    bits: 3,
                ),
                (
                    bits: 3,
                ),
                (
                    bits: 3,
                ),
            ],
            expressions: [
                (
                    uniformity: (
                        non_uniform_result: Some(1),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(2),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(2),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(6),
                    ty: Value(Pointer(
                        base: 2,
                        space: Private,
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(3),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(4),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(4),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(5),
                    ty: Value(Pointer(
                        base: 4,
                        space: Private,
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(5),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: Some(7),
                    ty: Value(Pointer(
                        base: 4,
                        space: Private,
                    )),
                ),
                (
                    uniformity: (
                        non_uniform_result: Some(5),
                        requirements: (
                            bits: 0,
                        ),
                    ),
                    ref_count: 1,
                    assignable_global: None,
                    ty: Handle(4),
                ),
            ],
            sampling: [],
        ),
    ],
)

================================================
FILE: lib/naga/tests/out/dot/quad.dot
================================================
digraph Module {
	subgraph cluster_globals {
		label="Globals"
		g0 [ shape=hexagon label="[1] Handle/'u_texture'" ]
		g1 [ shape=hexagon label="[2] Handle/'u_sampler'" ]
	}
	subgraph cluster_ep0 {
		label="Vertex/'vert_main'"
		node [ style=filled ]
		ep0_e0 [ fillcolor="#ffffb3" label="[1] Constant" ]
		ep0_e1 [ color="#8dd3c7" label="[2] Argument[0]" ]
		ep0_e2 [ color="#8dd3c7" label="[3] Argument[1]" ]
		ep0_e3 [ color="#fdb462" label="[4] Multiply" ]
		ep0_e1 -> ep0_e3 [ label="right" ]
		ep0_e0 -> ep0_e3 [ label="left" ]
		ep0_e4 [ fillcolor="#ffffb3" label="[5] Constant" ]
		ep0_e5 [ fillcolor="#ffffb3" label="[6] Constant" ]
		ep0_e6 [ color="#bebada" label="[7] Compose" ]
		{ ep0_e3 ep0_e4 ep0_e5 } -> ep0_e6
		ep0_e7 [ color="#bebada" label="[8] Compose" ]
		{ ep0_e2 ep0_e6 } -> ep0_e7
		ep0_s0 [ shape=square label="Root" ]
		ep0_s1 [ shape=square label="Emit" ]
		ep0_s2 [ shape=square label="Emit" ]
		ep0_s3 [ shape=square label="Return" ]
		ep0_s0 -> ep0_s1 [ arrowhead=tee label="" ]
		ep0_s1 -> ep0_s2 [ arrowhead=tee label="" ]
		ep0_s2 -> ep0_s3 [ arrowhead=tee label="" ]
		ep0_e7 -> ep0_s3 [ label="value" ]
		ep0_s1 -> ep0_e3 [ style=dotted ]
		ep0_s2 -> ep0_e6 [ style=dotted ]
		ep0_s2 -> ep0_e7 [ style=dotted ]
	}
	subgraph cluster_ep1 {
		label="Fragment/'frag_main'"
		node [ style=filled ]
		ep1_e0 [ fillcolor="#ffffb3" label="[1] Constant" ]
		ep1_e1 [ color="#ffffb3" label="[2] Global" ]
		g1 -> ep1_e1 [fillcolor=gray]
		ep1_e2 [ color="#ffffb3" label="[3] Global" ]
		g0 -> ep1_e2 [fillcolor=gray]
		ep1_e3 [ color="#8dd3c7" label="[4] Argument[0]" ]
		ep1_e4 [ color="#80b1d3" label="[5] ImageSample" ]
		ep1_e1 -> ep1_e4 [ label="sampler" ]
		ep1_e2 -> ep1_e4 [ label="image" ]
		ep1_e3 -> ep1_e4 [ label="coordinate" ]
		ep1_e5 [ color="#8dd3c7" label="[6] AccessIndex[3]" ]
		ep1_e4 -> ep1_e5 [ label="base" ]
		ep1_e6 [ fillcolor="#ffffb3" label="[7] Constant" ]
		ep1_e7 [ color="#fdb462" label="[8] Equal" ]
		ep1_e6 -> ep1_e7 [ label="right" ]
		ep1_e5 -> ep1_e7 [ label="left" ]
		ep1_e8 [ color="#8dd3c7" label="[9] AccessIndex[3]" ]
		ep1_e4 -> ep1_e8 [ label="base" ]
		ep1_e9 [ color="#fdb462" label="[10] Multiply" ]
		ep1_e4 -> ep1_e9 [ label="right" ]
		ep1_e8 -> ep1_e9 [ label="left" ]
		ep1_s0 [ shape=square label="Root" ]
		ep1_s1 [ shape=square label="Emit" ]
		ep1_s2 [ shape=square label="Emit" ]
		ep1_s3 [ shape=square label="Emit" ]
		ep1_s4 [ shape=square label="If" ]
		ep1_s5 [ shape=square label="Node" ]
		ep1_s6 [ shape=square label="Kill" ]
		ep1_s7 [ shape=square label="Node" ]
		ep1_s8 [ shape=square label="Merge" ]
		ep1_s9 [ shape=square label="Emit" ]
		ep1_s10 [ shape=square label="Return" ]
		ep1_s0 -> ep1_s1 [ arrowhead=tee label="" ]
		ep1_s1 -> ep1_s2 [ arrowhead=tee label="" ]
		ep1_s2 -> ep1_s3 [ arrowhead=tee label="" ]
		ep1_s3 -> ep1_s4 [ arrowhead=tee label="" ]
		ep1_s5 -> ep1_s6 [ arrowhead=tee label="" ]
		ep1_s4 -> ep1_s5 [ arrowhead=tee label="accept" ]
		ep1_s4 -> ep1_s7 [ arrowhead=tee label="reject" ]
		ep1_s6 -> ep1_s8 [ arrowhead=tee label="" ]
		ep1_s7 -> ep1_s8 [ arrowhead=tee label="" ]
		ep1_s8 -> ep1_s9 [ arrowhead=tee label="" ]
		ep1_s9 -> ep1_s10 [ arrowhead=tee label="" ]
		ep1_e7 -> ep1_s4 [ label="condition" ]
		ep1_e9 -> ep1_s10 [ label="value" ]
		ep1_s1 -> ep1_e4 [ style=dotted ]
		ep1_s2 -> ep1_e5 [ style=dotted ]
		ep1_s3 -> ep1_e7 [ style=dotted ]
		ep1_s9 -> ep1_e8 [ style=dotted ]
		ep1_s9 -> ep1_e9 [ style=dotted ]
	}
	subgraph cluster_ep2 {
		label="Fragment/'fs_extra'"
		node [ style=filled ]
		ep2_e0 [ fillcolor="#ffffb3" label="[1] Constant" ]
		ep2_e1 [ color="#ffffb3" label="[2] Global" ]
		g1 -> ep2_e1 [fillcolor=gray]
		ep2_e2 [ color="#ffffb3" label="[3] Global" ]
		g0 -> ep2_e2 [fillcolor=gray]
		ep2_e3 [ fillcolor="#ffffb3" label="[4] Constant" ]
		ep2_e4 [ fillcolor="#ffffb3" label="[5] Constant" ]
		ep2_e5 [ fillcolor="#ffffb3" label="[6] Constant" ]
		ep2_e6 [ fillcolor="#ffffb3" label="[7] Constant" ]
		ep2_e7 [ fillcolor="#bebada" label="[8] Compose" ]
		{ ep2_e3 ep2_e4 ep2_e5 ep2_e6 } -> ep2_e7
		ep2_s0 [ shape=square label="Root" ]
		ep2_s1 [ shape=square label="Emit" ]
		ep2_s2 [ shape=square label="Return" ]
		ep2_s0 -> ep2_s1 [ arrowhead=tee label="" ]
		ep2_s1 -> ep2_s2 [ arrowhead=tee label="" ]
		ep2_e7 -> ep2_s2 [ label="value" ]
		ep2_s1 -> ep2_e7 [ style=dotted ]
	}
}


================================================
FILE: lib/naga/tests/out/glsl/access.assign_through_ptr.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;

struct GlobalConst {
    uint a;
    uvec3 b;
    int c;
};
struct AlignedWrapper {
    int value;
};
struct Baz {
    mat3x2 m;
};
struct MatCx2InArray {
    mat4x2 am[2];
};
shared uint val;


float read_from_private(inout float foo_1) {
    float _e6 = foo_1;
    return _e6;
}

float test_arr_as_arg(float a[5][10]) {
    return a[4][9];
}

void assign_through_ptr_fn(inout uint p) {
    p = 42u;
    return;
}

void main() {
    assign_through_ptr_fn(val);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/access.atomics.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;

struct GlobalConst {
    uint a;
    uvec3 b;
    int c;
};
struct AlignedWrapper {
    int value;
};
struct Baz {
    mat3x2 m;
};
struct MatCx2InArray {
    mat4x2 am[2];
};
layout(std430) buffer Bar_block_0Compute {
    mat4x3 _matrix;
    mat2x2 matrix_array[2];
    int atom;
    uvec2 arr[2];
    AlignedWrapper data[];
} _group_0_binding_0_cs;


float read_from_private(inout float foo_1) {
    float _e6 = foo_1;
    return _e6;
}

float test_arr_as_arg(float a[5][10]) {
    return a[4][9];
}

void assign_through_ptr_fn(inout uint p) {
    p = 42u;
    return;
}

void main() {
    int tmp = 0;
    int value = _group_0_binding_0_cs.atom;
    int _e10 = atomicAdd(_group_0_binding_0_cs.atom, 5);
    tmp = _e10;
    int _e13 = atomicAdd(_group_0_binding_0_cs.atom, -5);
    tmp = _e13;
    int _e16 = atomicAnd(_group_0_binding_0_cs.atom, 5);
    tmp = _e16;
    int _e19 = atomicOr(_group_0_binding_0_cs.atom, 5);
    tmp = _e19;
    int _e22 = atomicXor(_group_0_binding_0_cs.atom, 5);
    tmp = _e22;
    int _e25 = atomicMin(_group_0_binding_0_cs.atom, 5);
    tmp = _e25;
    int _e28 = atomicMax(_group_0_binding_0_cs.atom, 5);
    tmp = _e28;
    int _e31 = atomicExchange(_group_0_binding_0_cs.atom, 5);
    tmp = _e31;
    _group_0_binding_0_cs.atom = value;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/access.foo_frag.Fragment.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

struct GlobalConst {
    uint a;
    uvec3 b;
    int c;
};
struct AlignedWrapper {
    int value;
};
struct Baz {
    mat3x2 m;
};
struct MatCx2InArray {
    mat4x2 am[2];
};
layout(std430) buffer Bar_block_0Fragment {
    mat4x3 _matrix;
    mat2x2 matrix_array[2];
    int atom;
    uvec2 arr[2];
    AlignedWrapper data[];
} _group_0_binding_0_fs;

layout(std430) buffer type_11_block_1Fragment { ivec2 _group_0_binding_2_fs; };

layout(location = 0) out vec4 _fs2p_location0;

float read_from_private(inout float foo_1) {
    float _e6 = foo_1;
    return _e6;
}

float test_arr_as_arg(float a[5][10]) {
    return a[4][9];
}

void assign_through_ptr_fn(inout uint p) {
    p = 42u;
    return;
}

void main() {
    _group_0_binding_0_fs._matrix[1][2] = 1.0;
    _group_0_binding_0_fs._matrix = mat4x3(vec3(0.0), vec3(1.0), vec3(2.0), vec3(3.0));
    _group_0_binding_0_fs.arr = uvec2[2](uvec2(0u), uvec2(1u));
    _group_0_binding_0_fs.data[1].value = 1;
    _group_0_binding_2_fs = ivec2(0, 0);
    _fs2p_location0 = vec4(0.0);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/access.foo_vert.Vertex.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

struct GlobalConst {
    uint a;
    uvec3 b;
    int c;
};
struct AlignedWrapper {
    int value;
};
struct Baz {
    mat3x2 m;
};
struct MatCx2InArray {
    mat4x2 am[2];
};
layout(std430) buffer Bar_block_0Vertex {
    mat4x3 _matrix;
    mat2x2 matrix_array[2];
    int atom;
    uvec2 arr[2];
    AlignedWrapper data[];
} _group_0_binding_0_vs;

uniform Baz_block_1Vertex { Baz _group_0_binding_1_vs; };

layout(std430) buffer type_11_block_2Vertex { ivec2 _group_0_binding_2_vs; };

uniform MatCx2InArray_block_3Vertex { MatCx2InArray _group_0_binding_3_vs; };


void test_matrix_within_struct_accesses() {
    int idx = 1;
    Baz t = Baz(mat3x2(0.0));
    int _e6 = idx;
    idx = (_e6 - 1);
    mat3x2 unnamed = _group_0_binding_1_vs.m;
    vec2 unnamed_1 = _group_0_binding_1_vs.m[0];
    int _e16 = idx;
    vec2 unnamed_2 = _group_0_binding_1_vs.m[_e16];
    float unnamed_3 = _group_0_binding_1_vs.m[0][1];
    int _e28 = idx;
    float unnamed_4 = _group_0_binding_1_vs.m[0][_e28];
    int _e32 = idx;
    float unnamed_5 = _group_0_binding_1_vs.m[_e32][1];
    int _e38 = idx;
    int _e40 = idx;
    float unnamed_6 = _group_0_binding_1_vs.m[_e38][_e40];
    t = Baz(mat3x2(vec2(1.0), vec2(2.0), vec2(3.0)));
    int _e52 = idx;
    idx = (_e52 + 1);
    t.m = mat3x2(vec2(6.0), vec2(5.0), vec2(4.0));
    t.m[0] = vec2(9.0);
    int _e69 = idx;
    t.m[_e69] = vec2(90.0);
    t.m[0][1] = 10.0;
    int _e82 = idx;
    t.m[0][_e82] = 20.0;
    int _e86 = idx;
    t.m[_e86][1] = 30.0;
    int _e92 = idx;
    int _e94 = idx;
    t.m[_e92][_e94] = 40.0;
    return;
}

void test_matrix_within_array_within_struct_accesses() {
    int idx_1 = 1;
    MatCx2InArray t_1 = MatCx2InArray(mat4x2[2](mat4x2(0.0), mat4x2(0.0)));
    int _e7 = idx_1;
    idx_1 = (_e7 - 1);
    mat4x2 unnamed_7[2] = _group_0_binding_3_vs.am;
    mat4x2 unnamed_8 = _group_0_binding_3_vs.am[0];
    vec2 unnamed_9 = _group_0_binding_3_vs.am[0][0];
    int _e25 = idx_1;
    vec2 unnamed_10 = _group_0_binding_3_vs.am[0][_e25];
    float unnamed_11 = _group_0_binding_3_vs.am[0][0][1];
    int _e41 = idx_1;
    float unnamed_12 = _group_0_binding_3_vs.am[0][0][_e41];
    int _e47 = idx_1;
    float unnamed_13 = _group_0_binding_3_vs.am[0][_e47][1];
    int _e55 = idx_1;
    int _e57 = idx_1;
    float unnamed_14 = _group_0_binding_3_vs.am[0][_e55][_e57];
    t_1 = MatCx2InArray(mat4x2[2](mat4x2(vec2(0.0, 0.0), vec2(0.0, 0.0), vec2(0.0, 0.0), vec2(0.0, 0.0)), mat4x2(vec2(0.0, 0.0), vec2(0.0, 0.0), vec2(0.0, 0.0), vec2(0.0, 0.0))));
    int _e63 = idx_1;
    idx_1 = (_e63 + 1);
    t_1.am = mat4x2[2](mat4x2(vec2(0.0, 0.0), vec2(0.0, 0.0), vec2(0.0, 0.0), vec2(0.0, 0.0)), mat4x2(vec2(0.0, 0.0), vec2(0.0, 0.0), vec2(0.0, 0.0), vec2(0.0, 0.0)));
    t_1.am[0] = mat4x2(vec2(8.0), vec2(7.0), vec2(6.0), vec2(5.0));
    t_1.am[0][0] = vec2(9.0);
    int _e90 = idx_1;
    t_1.am[0][_e90] = vec2(90.0);
    t_1.am[0][0][1] = 10.0;
    int _e107 = idx_1;
    t_1.am[0][0][_e107] = 20.0;
    int _e113 = idx_1;
    t_1.am[0][_e113][1] = 30.0;
    int _e121 = idx_1;
    int _e123 = idx_1;
    t_1.am[0][_e121][_e123] = 40.0;
    return;
}

float read_from_private(inout float foo_1) {
    float _e6 = foo_1;
    return _e6;
}

float test_arr_as_arg(float a[5][10]) {
    return a[4][9];
}

void assign_through_ptr_fn(inout uint p) {
    p = 42u;
    return;
}

void main() {
    uint vi = uint(gl_VertexID);
    float foo = 0.0;
    int c[5] = int[5](0, 0, 0, 0, 0);
    float baz_1 = foo;
    foo = 1.0;
    test_matrix_within_struct_accesses();
    test_matrix_within_array_within_struct_accesses();
    mat4x3 _matrix = _group_0_binding_0_vs._matrix;
    uvec2 arr[2] = _group_0_binding_0_vs.arr;
    float b = _group_0_binding_0_vs._matrix[3][0];
    int a_1 = _group_0_binding_0_vs.data[(uint(_group_0_binding_0_vs.data.length()) - 2u)].value;
    ivec2 c_1 = _group_0_binding_2_vs;
    float _e32 = read_from_private(foo);
    c = int[5](a_1, int(b), 3, 4, 5);
    c[(vi + 1u)] = 42;
    int value = c[vi];
    float _e46 = test_arr_as_arg(float[5][10](float[10](0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), float[10](0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), float[10](0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), float[10](0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), float[10](0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0)));
    gl_Position = vec4((_matrix * vec4(ivec4(value))), 2.0);
    gl_Position.yz = vec2(-gl_Position.y, gl_Position.z * 2.0 - gl_Position.w);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/bitcast.main.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;


void main() {
    ivec2 i2_ = ivec2(0);
    ivec3 i3_ = ivec3(0);
    ivec4 i4_ = ivec4(0);
    uvec2 u2_ = uvec2(0u);
    uvec3 u3_ = uvec3(0u);
    uvec4 u4_ = uvec4(0u);
    vec2 f2_ = vec2(0.0);
    vec3 f3_ = vec3(0.0);
    vec4 f4_ = vec4(0.0);
    i2_ = ivec2(0);
    i3_ = ivec3(0);
    i4_ = ivec4(0);
    u2_ = uvec2(0u);
    u3_ = uvec3(0u);
    u4_ = uvec4(0u);
    f2_ = vec2(0.0);
    f3_ = vec3(0.0);
    f4_ = vec4(0.0);
    ivec2 _e27 = i2_;
    u2_ = uvec2(_e27);
    ivec3 _e29 = i3_;
    u3_ = uvec3(_e29);
    ivec4 _e31 = i4_;
    u4_ = uvec4(_e31);
    uvec2 _e33 = u2_;
    i2_ = ivec2(_e33);
    uvec3 _e35 = u3_;
    i3_ = ivec3(_e35);
    uvec4 _e37 = u4_;
    i4_ = ivec4(_e37);
    ivec2 _e39 = i2_;
    f2_ = intBitsToFloat(_e39);
    ivec3 _e41 = i3_;
    f3_ = intBitsToFloat(_e41);
    ivec4 _e43 = i4_;
    f4_ = intBitsToFloat(_e43);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/bits.main.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;


void main() {
    int i = 0;
    ivec2 i2_ = ivec2(0);
    ivec3 i3_ = ivec3(0);
    ivec4 i4_ = ivec4(0);
    uint u = 0u;
    uvec2 u2_ = uvec2(0u);
    uvec3 u3_ = uvec3(0u);
    uvec4 u4_ = uvec4(0u);
    vec2 f2_ = vec2(0.0);
    vec4 f4_ = vec4(0.0);
    i2_ = ivec2(0);
    i3_ = ivec3(0);
    i4_ = ivec4(0);
    u2_ = uvec2(0u);
    u3_ = uvec3(0u);
    u4_ = uvec4(0u);
    f2_ = vec2(0.0);
    f4_ = vec4(0.0);
    vec4 _e28 = f4_;
    u = packSnorm4x8(_e28);
    vec4 _e30 = f4_;
    u = packUnorm4x8(_e30);
    vec2 _e32 = f2_;
    u = packSnorm2x16(_e32);
    vec2 _e34 = f2_;
    u = packUnorm2x16(_e34);
    vec2 _e36 = f2_;
    u = packHalf2x16(_e36);
    uint _e38 = u;
    f4_ = unpackSnorm4x8(_e38);
    uint _e40 = u;
    f4_ = unpackUnorm4x8(_e40);
    uint _e42 = u;
    f2_ = unpackSnorm2x16(_e42);
    uint _e44 = u;
    f2_ = unpackUnorm2x16(_e44);
    uint _e46 = u;
    f2_ = unpackHalf2x16(_e46);
    int _e48 = i;
    int _e49 = i;
    i = bitfieldInsert(_e48, _e49, int(5u), int(10u));
    ivec2 _e53 = i2_;
    ivec2 _e54 = i2_;
    i2_ = bitfieldInsert(_e53, _e54, int(5u), int(10u));
    ivec3 _e58 = i3_;
    ivec3 _e59 = i3_;
    i3_ = bitfieldInsert(_e58, _e59, int(5u), int(10u));
    ivec4 _e63 = i4_;
    ivec4 _e64 = i4_;
    i4_ = bitfieldInsert(_e63, _e64, int(5u), int(10u));
    uint _e68 = u;
    uint _e69 = u;
    u = bitfieldInsert(_e68, _e69, int(5u), int(10u));
    uvec2 _e73 = u2_;
    uvec2 _e74 = u2_;
    u2_ = bitfieldInsert(_e73, _e74, int(5u), int(10u));
    uvec3 _e78 = u3_;
    uvec3 _e79 = u3_;
    u3_ = bitfieldInsert(_e78, _e79, int(5u), int(10u));
    uvec4 _e83 = u4_;
    uvec4 _e84 = u4_;
    u4_ = bitfieldInsert(_e83, _e84, int(5u), int(10u));
    int _e88 = i;
    i = bitfieldExtract(_e88, int(5u), int(10u));
    ivec2 _e92 = i2_;
    i2_ = bitfieldExtract(_e92, int(5u), int(10u));
    ivec3 _e96 = i3_;
    i3_ = bitfieldExtract(_e96, int(5u), int(10u));
    ivec4 _e100 = i4_;
    i4_ = bitfieldExtract(_e100, int(5u), int(10u));
    uint _e104 = u;
    u = bitfieldExtract(_e104, int(5u), int(10u));
    uvec2 _e108 = u2_;
    u2_ = bitfieldExtract(_e108, int(5u), int(10u));
    uvec3 _e112 = u3_;
    u3_ = bitfieldExtract(_e112, int(5u), int(10u));
    uvec4 _e116 = u4_;
    u4_ = bitfieldExtract(_e116, int(5u), int(10u));
    int _e120 = i;
    i = findLSB(_e120);
    uvec2 _e122 = u2_;
    u2_ = uvec2(findLSB(_e122));
    ivec3 _e124 = i3_;
    i3_ = findMSB(_e124);
    uint _e126 = u;
    u = uint(findMSB(_e126));
    int _e128 = i;
    i = bitCount(_e128);
    ivec2 _e130 = i2_;
    i2_ = bitCount(_e130);
    ivec3 _e132 = i3_;
    i3_ = bitCount(_e132);
    ivec4 _e134 = i4_;
    i4_ = bitCount(_e134);
    uint _e136 = u;
    u = uint(bitCount(_e136));
    uvec2 _e138 = u2_;
    u2_ = uvec2(bitCount(_e138));
    uvec3 _e140 = u3_;
    u3_ = uvec3(bitCount(_e140));
    uvec4 _e142 = u4_;
    u4_ = uvec4(bitCount(_e142));
    int _e144 = i;
    i = bitfieldReverse(_e144);
    ivec2 _e146 = i2_;
    i2_ = bitfieldReverse(_e146);
    ivec3 _e148 = i3_;
    i3_ = bitfieldReverse(_e148);
    ivec4 _e150 = i4_;
    i4_ = bitfieldReverse(_e150);
    uint _e152 = u;
    u = bitfieldReverse(_e152);
    uvec2 _e154 = u2_;
    u2_ = bitfieldReverse(_e154);
    uvec3 _e156 = u3_;
    u3_ = bitfieldReverse(_e156);
    uvec4 _e158 = u4_;
    u4_ = bitfieldReverse(_e158);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/boids.main.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 64, local_size_y = 1, local_size_z = 1) in;

struct Particle {
    vec2 pos;
    vec2 vel;
};
struct SimParams {
    float deltaT;
    float rule1Distance;
    float rule2Distance;
    float rule3Distance;
    float rule1Scale;
    float rule2Scale;
    float rule3Scale;
};
uniform SimParams_block_0Compute { SimParams _group_0_binding_0_cs; };

layout(std430) readonly buffer Particles_block_1Compute {
    Particle particles[];
} _group_0_binding_1_cs;

layout(std430) buffer Particles_block_2Compute {
    Particle particles[];
} _group_0_binding_2_cs;


void main() {
    uvec3 global_invocation_id = gl_GlobalInvocationID;
    vec2 vPos = vec2(0.0);
    vec2 vVel = vec2(0.0);
    vec2 cMass = vec2(0.0);
    vec2 cVel = vec2(0.0);
    vec2 colVel = vec2(0.0);
    int cMassCount = 0;
    int cVelCount = 0;
    vec2 pos = vec2(0.0);
    vec2 vel = vec2(0.0);
    uint i = 0u;
    uint index = global_invocation_id.x;
    if ((index >= 1500u)) {
        return;
    }
    vec2 _e10 = _group_0_binding_1_cs.particles[index].pos;
    vPos = _e10;
    vec2 _e15 = _group_0_binding_1_cs.particles[index].vel;
    vVel = _e15;
    cMass = vec2(0.0, 0.0);
    cVel = vec2(0.0, 0.0);
    colVel = vec2(0.0, 0.0);
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            uint _e86 = i;
            i = (_e86 + 1u);
        }
        loop_init = false;
        uint _e37 = i;
        if ((_e37 >= 1500u)) {
            break;
        }
        uint _e39 = i;
        if ((_e39 == index)) {
            continue;
        }
        uint _e42 = i;
        vec2 _e45 = _group_0_binding_1_cs.particles[_e42].pos;
        pos = _e45;
        uint _e47 = i;
        vec2 _e50 = _group_0_binding_1_cs.particles[_e47].vel;
        vel = _e50;
        vec2 _e51 = pos;
        vec2 _e52 = vPos;
        float _e55 = _group_0_binding_0_cs.rule1Distance;
        if ((distance(_e51, _e52) < _e55)) {
            vec2 _e57 = cMass;
            vec2 _e58 = pos;
            cMass = (_e57 + _e58);
            int _e60 = cMassCount;
            cMassCount = (_e60 + 1);
        }
        vec2 _e63 = pos;
        vec2 _e64 = vPos;
        float _e67 = _group_0_binding_0_cs.rule2Distance;
        if ((distance(_e63, _e64) < _e67)) {
            vec2 _e69 = colVel;
            vec2 _e70 = pos;
            vec2 _e71 = vPos;
            colVel = (_e69 - (_e70 - _e71));
        }
        vec2 _e74 = pos;
        vec2 _e75 = vPos;
        float _e78 = _group_0_binding_0_cs.rule3Distance;
        if ((distance(_e74, _e75) < _e78)) {
            vec2 _e80 = cVel;
            vec2 _e81 = vel;
            cVel = (_e80 + _e81);
            int _e83 = cVelCount;
            cVelCount = (_e83 + 1);
        }
    }
    int _e89 = cMassCount;
    if ((_e89 > 0)) {
        vec2 _e92 = cMass;
        int _e93 = cMassCount;
        vec2 _e97 = vPos;
        cMass = ((_e92 / vec2(float(_e93))) - _e97);
    }
    int _e99 = cVelCount;
    if ((_e99 > 0)) {
        vec2 _e102 = cVel;
        int _e103 = cVelCount;
        cVel = (_e102 / vec2(float(_e103)));
    }
    vec2 _e107 = vVel;
    vec2 _e108 = cMass;
    float _e110 = _group_0_binding_0_cs.rule1Scale;
    vec2 _e113 = colVel;
    float _e115 = _group_0_binding_0_cs.rule2Scale;
    vec2 _e118 = cVel;
    float _e120 = _group_0_binding_0_cs.rule3Scale;
    vVel = (((_e107 + (_e108 * _e110)) + (_e113 * _e115)) + (_e118 * _e120));
    vec2 _e123 = vVel;
    vec2 _e125 = vVel;
    vVel = (normalize(_e123) * clamp(length(_e125), 0.0, 0.10000000149011612));
    vec2 _e131 = vPos;
    vec2 _e132 = vVel;
    float _e134 = _group_0_binding_0_cs.deltaT;
    vPos = (_e131 + (_e132 * _e134));
    float _e138 = vPos.x;
    if ((_e138 < -1.0)) {
        vPos.x = 1.0;
    }
    float _e144 = vPos.x;
    if ((_e144 > 1.0)) {
        vPos.x = -1.0;
    }
    float _e150 = vPos.y;
    if ((_e150 < -1.0)) {
        vPos.y = 1.0;
    }
    float _e156 = vPos.y;
    if ((_e156 > 1.0)) {
        vPos.y = -1.0;
    }
    vec2 _e164 = vPos;
    _group_0_binding_2_cs.particles[index].pos = _e164;
    vec2 _e168 = vVel;
    _group_0_binding_2_cs.particles[index].vel = _e168;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/bounds-check-image-restrict.fragment_shader.Fragment.glsl
================================================
#version 430 core
#extension GL_ARB_shader_texture_image_samples : require
uniform highp sampler1D _group_0_binding_0_fs;

uniform highp sampler2D _group_0_binding_1_fs;

uniform highp sampler2DArray _group_0_binding_2_fs;

uniform highp sampler3D _group_0_binding_3_fs;

uniform highp sampler2DMS _group_0_binding_4_fs;

layout(rgba8) writeonly uniform highp image1D _group_0_binding_8_fs;

layout(rgba8) writeonly uniform highp image2D _group_0_binding_9_fs;

layout(rgba8) writeonly uniform highp image2DArray _group_0_binding_10_fs;

layout(rgba8) writeonly uniform highp image3D _group_0_binding_11_fs;

layout(location = 0) out vec4 _fs2p_location0;

vec4 test_textureLoad_1d(int coords, int level) {
    int _e3_clamped_lod = clamp(level, 0, textureQueryLevels(_group_0_binding_0_fs) - 1);
    vec4 _e3 = texelFetch(_group_0_binding_0_fs, clamp(coords, 0, textureSize(_group_0_binding_0_fs, _e3_clamped_lod) - 1), _e3_clamped_lod);
    return _e3;
}

vec4 test_textureLoad_2d(ivec2 coords_1, int level_1) {
    int _e4_clamped_lod = clamp(level_1, 0, textureQueryLevels(_group_0_binding_1_fs) - 1);
    vec4 _e4 = texelFetch(_group_0_binding_1_fs, clamp(coords_1, ivec2(0), textureSize(_group_0_binding_1_fs, _e4_clamped_lod) - ivec2(1)), _e4_clamped_lod);
    return _e4;
}

vec4 test_textureLoad_2d_array(ivec2 coords_2, int index, int level_2) {
    int _e6_clamped_lod = clamp(level_2, 0, textureQueryLevels(_group_0_binding_2_fs) - 1);
    vec4 _e6 = texelFetch(_group_0_binding_2_fs, clamp(ivec3(coords_2, index), ivec3(0), textureSize(_group_0_binding_2_fs, _e6_clamped_lod) - ivec3(1)), _e6_clamped_lod);
    return _e6;
}

vec4 test_textureLoad_3d(ivec3 coords_3, int level_3) {
    int _e6_clamped_lod = clamp(level_3, 0, textureQueryLevels(_group_0_binding_3_fs) - 1);
    vec4 _e6 = texelFetch(_group_0_binding_3_fs, clamp(coords_3, ivec3(0), textureSize(_group_0_binding_3_fs, _e6_clamped_lod) - ivec3(1)), _e6_clamped_lod);
    return _e6;
}

vec4 test_textureLoad_multisampled_2d(ivec2 coords_4, int _sample) {
    vec4 _e7 = texelFetch(_group_0_binding_4_fs, clamp(coords_4, ivec2(0), textureSize(_group_0_binding_4_fs) - ivec2(1)), clamp(_sample, 0, textureSamples(_group_0_binding_4_fs) - 1)
);
    return _e7;
}

void test_textureStore_1d(int coords_8, vec4 value) {
    imageStore(_group_0_binding_8_fs, coords_8, value);
    return;
}

void test_textureStore_2d(ivec2 coords_9, vec4 value_1) {
    imageStore(_group_0_binding_9_fs, coords_9, value_1);
    return;
}

void test_textureStore_2d_array(ivec2 coords_10, int array_index, vec4 value_2) {
    imageStore(_group_0_binding_10_fs, ivec3(coords_10, array_index), value_2);
    return;
}

void test_textureStore_3d(ivec3 coords_11, vec4 value_3) {
    imageStore(_group_0_binding_11_fs, coords_11, value_3);
    return;
}

void main() {
    vec4 _e14 = test_textureLoad_1d(0, 0);
    vec4 _e17 = test_textureLoad_2d(ivec2(0, 0), 0);
    vec4 _e21 = test_textureLoad_2d_array(ivec2(0, 0), 0, 0);
    vec4 _e24 = test_textureLoad_3d(ivec3(0, 0, 0), 0);
    vec4 _e27 = test_textureLoad_multisampled_2d(ivec2(0, 0), 0);
    test_textureStore_1d(0, vec4(0.0, 0.0, 0.0, 0.0));
    test_textureStore_2d(ivec2(0, 0), vec4(0.0, 0.0, 0.0, 0.0));
    test_textureStore_2d_array(ivec2(0, 0), 0, vec4(0.0, 0.0, 0.0, 0.0));
    test_textureStore_3d(ivec3(0, 0, 0), vec4(0.0, 0.0, 0.0, 0.0));
    _fs2p_location0 = vec4(0.0, 0.0, 0.0, 0.0);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/bounds-check-image-rzsw.fragment_shader.Fragment.glsl
================================================
#version 430 core
#extension GL_ARB_shader_texture_image_samples : require
uniform highp sampler1D _group_0_binding_0_fs;

uniform highp sampler2D _group_0_binding_1_fs;

uniform highp sampler2DArray _group_0_binding_2_fs;

uniform highp sampler3D _group_0_binding_3_fs;

uniform highp sampler2DMS _group_0_binding_4_fs;

layout(rgba8) writeonly uniform highp image1D _group_0_binding_8_fs;

layout(rgba8) writeonly uniform highp image2D _group_0_binding_9_fs;

layout(rgba8) writeonly uniform highp image2DArray _group_0_binding_10_fs;

layout(rgba8) writeonly uniform highp image3D _group_0_binding_11_fs;

layout(location = 0) out vec4 _fs2p_location0;

vec4 test_textureLoad_1d(int coords, int level) {
    vec4 _e3 = (level < textureQueryLevels(_group_0_binding_0_fs) && coords < textureSize(_group_0_binding_0_fs, level) ? texelFetch(_group_0_binding_0_fs, coords, level) : vec4(0.0));
    return _e3;
}

vec4 test_textureLoad_2d(ivec2 coords_1, int level_1) {
    vec4 _e4 = (level_1 < textureQueryLevels(_group_0_binding_1_fs) && all(lessThan(coords_1, textureSize(_group_0_binding_1_fs, level_1))) ? texelFetch(_group_0_binding_1_fs, coords_1, level_1) : vec4(0.0));
    return _e4;
}

vec4 test_textureLoad_2d_array(ivec2 coords_2, int index, int level_2) {
    vec4 _e6 = (level_2 < textureQueryLevels(_group_0_binding_2_fs) && all(lessThan(ivec3(coords_2, index), textureSize(_group_0_binding_2_fs, level_2))) ? texelFetch(_group_0_binding_2_fs, ivec3(coords_2, index), level_2) : vec4(0.0));
    return _e6;
}

vec4 test_textureLoad_3d(ivec3 coords_3, int level_3) {
    vec4 _e6 = (level_3 < textureQueryLevels(_group_0_binding_3_fs) && all(lessThan(coords_3, textureSize(_group_0_binding_3_fs, level_3))) ? texelFetch(_group_0_binding_3_fs, coords_3, level_3) : vec4(0.0));
    return _e6;
}

vec4 test_textureLoad_multisampled_2d(ivec2 coords_4, int _sample) {
    vec4 _e7 = (_sample < textureSamples(_group_0_binding_4_fs) && all(lessThan(coords_4, textureSize(_group_0_binding_4_fs))) ? texelFetch(_group_0_binding_4_fs, coords_4, _sample) : vec4(0.0));
    return _e7;
}

void test_textureStore_1d(int coords_8, vec4 value) {
    imageStore(_group_0_binding_8_fs, coords_8, value);
    return;
}

void test_textureStore_2d(ivec2 coords_9, vec4 value_1) {
    imageStore(_group_0_binding_9_fs, coords_9, value_1);
    return;
}

void test_textureStore_2d_array(ivec2 coords_10, int array_index, vec4 value_2) {
    imageStore(_group_0_binding_10_fs, ivec3(coords_10, array_index), value_2);
    return;
}

void test_textureStore_3d(ivec3 coords_11, vec4 value_3) {
    imageStore(_group_0_binding_11_fs, coords_11, value_3);
    return;
}

void main() {
    vec4 _e14 = test_textureLoad_1d(0, 0);
    vec4 _e17 = test_textureLoad_2d(ivec2(0, 0), 0);
    vec4 _e21 = test_textureLoad_2d_array(ivec2(0, 0), 0, 0);
    vec4 _e24 = test_textureLoad_3d(ivec3(0, 0, 0), 0);
    vec4 _e27 = test_textureLoad_multisampled_2d(ivec2(0, 0), 0);
    test_textureStore_1d(0, vec4(0.0, 0.0, 0.0, 0.0));
    test_textureStore_2d(ivec2(0, 0), vec4(0.0, 0.0, 0.0, 0.0));
    test_textureStore_2d_array(ivec2(0, 0), 0, vec4(0.0, 0.0, 0.0, 0.0));
    test_textureStore_3d(ivec3(0, 0, 0), vec4(0.0, 0.0, 0.0, 0.0));
    _fs2p_location0 = vec4(0.0, 0.0, 0.0, 0.0);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/break-if.main.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;


void breakIfEmpty() {
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            if (true) {
                break;
            }
        }
        loop_init = false;
    }
    return;
}

void breakIfEmptyBody(bool a) {
    bool b = false;
    bool c = false;
    bool loop_init_1 = true;
    while(true) {
        if (!loop_init_1) {
            b = a;
            bool _e2 = b;
            c = (a != _e2);
            bool _e5 = c;
            bool unnamed = (a == _e5);
            if (unnamed) {
                break;
            }
        }
        loop_init_1 = false;
    }
    return;
}

void breakIf(bool a_1) {
    bool d = false;
    bool e = false;
    bool loop_init_2 = true;
    while(true) {
        if (!loop_init_2) {
            bool _e5 = e;
            bool unnamed_1 = (a_1 == _e5);
            if (unnamed_1) {
                break;
            }
        }
        loop_init_2 = false;
        d = a_1;
        bool _e2 = d;
        e = (a_1 != _e2);
    }
    return;
}

void main() {
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/control-flow.main.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;


void switch_default_break(int i) {
    switch(i) {
        default:
            break;
    }
}

void switch_case_break() {
    switch(0) {
        case 0:
            break;
        default:
            break;
    }
    return;
}

void loop_switch_continue(int x) {
    while(true) {
        switch(x) {
            case 1:
                continue;
            default:
                break;
        }
    }
    return;
}

void main() {
    uvec3 global_id = gl_GlobalInvocationID;
    int pos = 0;
    memoryBarrierBuffer();
    barrier();
    memoryBarrierShared();
    barrier();
    switch(1) {
        default:
            pos = 1;
            break;
    }
    int _e4 = pos;
    switch(_e4) {
        case 1:
            pos = 0;
            break;
        case 2:
            pos = 1;
            break;
        case 3:
            pos = 2;
            /* fallthrough */
        case 4:
            pos = 3;
            /* fallthrough */
        default:
            pos = 4;
            break;
    }
    switch(0u) {
        case 0u:
            break;
        default:
            break;
    }
    int _e11 = pos;
    switch(_e11) {
        case 1:
            pos = 0;
            break;
        case 2:
            pos = 1;
            return;
        case 3:
            pos = 2;
            /* fallthrough */
        case 4:
            return;
        default:
            pos = 3;
            return;
    }
}



================================================
FILE: lib/naga/tests/out/glsl/cubeArrayShadow.fragment.Fragment.glsl
================================================
#version 310 es
#extension GL_EXT_texture_cube_map_array : require

precision highp float;
precision highp int;

uniform highp samplerCubeArrayShadow _group_0_binding_4_fs;

layout(location = 0) out vec4 _fs2p_location0;

void main() {
    vec3 frag_ls = vec4(1.0, 1.0, 2.0, 1.0).xyz;
    float a = texture(_group_0_binding_4_fs, vec4(frag_ls, int(1)), 1.0);
    _fs2p_location0 = vec4(a, 1.0, 1.0, 1.0);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/empty.main.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;


void main() {
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/functions-webgl.main.Vertex.glsl
================================================
#version 300 es

precision highp float;
precision highp int;


vec2 test_fma() {
    vec2 a = vec2(2.0, 2.0);
    vec2 b = vec2(0.5, 0.5);
    vec2 c = vec2(0.5, 0.5);
    return (a * b + c);
}

void main() {
    vec2 _e0 = test_fma();
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/functions.main.Compute.glsl
================================================
#version 310 es
#extension GL_EXT_gpu_shader5 : require

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;


vec2 test_fma() {
    vec2 a = vec2(2.0, 2.0);
    vec2 b = vec2(0.5, 0.5);
    vec2 c = vec2(0.5, 0.5);
    return fma(a, b, c);
}

int test_integer_dot_product() {
    ivec2 a_2_ = ivec2(1);
    ivec2 b_2_ = ivec2(1);
    int c_2_ = ( + a_2_.x * b_2_.x + a_2_.y * b_2_.y);
    uvec3 a_3_ = uvec3(1u);
    uvec3 b_3_ = uvec3(1u);
    uint c_3_ = ( + a_3_.x * b_3_.x + a_3_.y * b_3_.y + a_3_.z * b_3_.z);
    ivec4 _e11 = ivec4(4);
    ivec4 _e13 = ivec4(2);
    int c_4_ = ( + _e11.x * _e13.x + _e11.y * _e13.y + _e11.z * _e13.z + _e11.w * _e13.w);
    return c_4_;
}

void main() {
    vec2 _e0 = test_fma();
    int _e1 = test_integer_dot_product();
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/globals.main.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;

struct Foo {
    vec3 v3_;
    float v1_;
};
shared float wg[10];

shared uint at_1;

layout(std430) buffer Foo_block_0Compute { Foo _group_0_binding_1_cs; };

layout(std430) readonly buffer type_6_block_1Compute { vec2 _group_0_binding_2_cs[]; };

uniform type_8_block_2Compute { vec4 _group_0_binding_3_cs[20]; };

uniform type_4_block_3Compute { vec3 _group_0_binding_4_cs; };

uniform type_9_block_4Compute { mat3x2 _group_0_binding_5_cs; };

uniform type_12_block_5Compute { mat2x4 _group_0_binding_6_cs[2][2]; };

uniform type_15_block_6Compute { mat4x2 _group_0_binding_7_cs[2][2]; };


void test_msl_packed_vec3_as_arg(vec3 arg) {
    return;
}

void test_msl_packed_vec3_() {
    int idx = 1;
    _group_0_binding_1_cs.v3_ = vec3(1.0);
    _group_0_binding_1_cs.v3_.x = 1.0;
    _group_0_binding_1_cs.v3_.x = 2.0;
    int _e23 = idx;
    _group_0_binding_1_cs.v3_[_e23] = 3.0;
    Foo data = _group_0_binding_1_cs;
    vec3 unnamed = data.v3_;
    vec2 unnamed_1 = data.v3_.zx;
    test_msl_packed_vec3_as_arg(data.v3_);
    vec3 unnamed_2 = (data.v3_ * mat3x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)));
    vec3 unnamed_3 = (mat3x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)) * data.v3_);
    vec3 unnamed_4 = (data.v3_ * 2.0);
    vec3 unnamed_5 = (2.0 * data.v3_);
}

void main() {
    float Foo_1 = 1.0;
    bool at = true;
    test_msl_packed_vec3_();
    mat4x2 _e16 = _group_0_binding_7_cs[0][0];
    vec4 _e23 = _group_0_binding_6_cs[0][0][0];
    wg[7] = (_e16 * _e23).x;
    mat3x2 _e28 = _group_0_binding_5_cs;
    vec3 _e29 = _group_0_binding_4_cs;
    wg[6] = (_e28 * _e29).x;
    float _e37 = _group_0_binding_2_cs[1].y;
    wg[5] = _e37;
    float _e43 = _group_0_binding_3_cs[0].w;
    wg[4] = _e43;
    float _e47 = _group_0_binding_1_cs.v1_;
    wg[3] = _e47;
    float _e52 = _group_0_binding_1_cs.v3_.x;
    wg[2] = _e52;
    _group_0_binding_1_cs.v1_ = 4.0;
    wg[1] = float(uint(_group_0_binding_2_cs.length()));
    at_1 = 2u;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/image.gather.Fragment.glsl
================================================
#version 310 es
#extension GL_EXT_texture_cube_map_array : require

precision highp float;
precision highp int;

uniform highp sampler2D _group_0_binding_1_fs;

uniform highp sampler2DShadow _group_1_binding_2_fs;

layout(location = 0) out vec4 _fs2p_location0;

void main() {
    vec2 tc = vec2(0.5);
    vec4 s2d = textureGather(_group_0_binding_1_fs, vec2(tc), 1);
    vec4 s2d_offset = textureGatherOffset(_group_0_binding_1_fs, vec2(tc), ivec2(3, 1), 3);
    vec4 s2d_depth = textureGather(_group_1_binding_2_fs, vec2(tc), 0.5);
    vec4 s2d_depth_offset = textureGatherOffset(_group_1_binding_2_fs, vec2(tc), 0.5, ivec2(3, 1));
    _fs2p_location0 = (((s2d + s2d_offset) + s2d_depth) + s2d_depth_offset);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/image.main.Compute.glsl
================================================
#version 310 es
#extension GL_EXT_texture_cube_map_array : require

precision highp float;
precision highp int;

layout(local_size_x = 16, local_size_y = 1, local_size_z = 1) in;

uniform highp usampler2D _group_0_binding_0_cs;

uniform highp usampler2DMS _group_0_binding_3_cs;

layout(rgba8ui) readonly uniform highp uimage2D _group_0_binding_1_cs;

uniform highp usampler2DArray _group_0_binding_5_cs;

uniform highp usampler2D _group_0_binding_7_cs;

layout(r32ui) writeonly uniform highp uimage2D _group_0_binding_2_cs;


void main() {
    uvec3 local_id = gl_LocalInvocationID;
    ivec2 dim = imageSize(_group_0_binding_1_cs).xy;
    ivec2 itc = ((dim * ivec2(local_id.xy)) % ivec2(10, 20));
    uvec4 value1_ = texelFetch(_group_0_binding_0_cs, itc, int(local_id.z));
    uvec4 value2_ = texelFetch(_group_0_binding_3_cs, itc, int(local_id.z));
    uvec4 value4_ = imageLoad(_group_0_binding_1_cs, itc);
    uvec4 value5_ = texelFetch(_group_0_binding_5_cs, ivec3(itc, int(local_id.z)), (int(local_id.z) + 1));
    uvec4 value6_ = texelFetch(_group_0_binding_7_cs, ivec2(int(local_id.x), 0), int(local_id.z));
    imageStore(_group_0_binding_2_cs, ivec2(itc.x, 0), ((((value1_ + value2_) + value4_) + value5_) + value6_));
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/image.queries.Vertex.glsl
================================================
#version 310 es
#extension GL_EXT_texture_cube_map_array : require

precision highp float;
precision highp int;

uniform highp sampler2D _group_0_binding_0_vs;

uniform highp sampler2D _group_0_binding_1_vs;

uniform highp sampler2DArray _group_0_binding_2_vs;

uniform highp samplerCube _group_0_binding_3_vs;

uniform highp samplerCubeArray _group_0_binding_4_vs;

uniform highp sampler3D _group_0_binding_5_vs;

uniform highp sampler2DMS _group_0_binding_6_vs;


void main() {
    int dim_1d = textureSize(_group_0_binding_0_vs, 0).x;
    int dim_1d_lod = textureSize(_group_0_binding_0_vs, int(dim_1d)).x;
    ivec2 dim_2d = textureSize(_group_0_binding_1_vs, 0).xy;
    ivec2 dim_2d_lod = textureSize(_group_0_binding_1_vs, 1).xy;
    ivec2 dim_2d_array = textureSize(_group_0_binding_2_vs, 0).xy;
    ivec2 dim_2d_array_lod = textureSize(_group_0_binding_2_vs, 1).xy;
    ivec2 dim_cube = textureSize(_group_0_binding_3_vs, 0).xy;
    ivec2 dim_cube_lod = textureSize(_group_0_binding_3_vs, 1).xy;
    ivec2 dim_cube_array = textureSize(_group_0_binding_4_vs, 0).xy;
    ivec2 dim_cube_array_lod = textureSize(_group_0_binding_4_vs, 1).xy;
    ivec3 dim_3d = textureSize(_group_0_binding_5_vs, 0).xyz;
    ivec3 dim_3d_lod = textureSize(_group_0_binding_5_vs, 1).xyz;
    ivec2 dim_2s_ms = textureSize(_group_0_binding_6_vs).xy;
    int sum = ((((((((((dim_1d + dim_2d.y) + dim_2d_lod.y) + dim_2d_array.y) + dim_2d_array_lod.y) + dim_cube.y) + dim_cube_lod.y) + dim_cube_array.y) + dim_cube_array_lod.y) + dim_3d.z) + dim_3d_lod.z);
    gl_Position = vec4(float(sum));
    gl_Position.yz = vec2(-gl_Position.y, gl_Position.z * 2.0 - gl_Position.w);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/image.texture_sample.Fragment.glsl
================================================
#version 310 es
#extension GL_EXT_texture_cube_map_array : require

precision highp float;
precision highp int;

uniform highp sampler2D _group_0_binding_0_fs;

uniform highp sampler2D _group_0_binding_1_fs;

layout(location = 0) out vec4 _fs2p_location0;

void main() {
    vec2 tc = vec2(0.5);
    vec4 s1d = texture(_group_0_binding_0_fs, vec2(tc.x, 0.0));
    vec4 s2d = texture(_group_0_binding_1_fs, vec2(tc));
    vec4 s2d_offset = textureOffset(_group_0_binding_1_fs, vec2(tc), ivec2(3, 1));
    vec4 s2d_level = textureLod(_group_0_binding_1_fs, vec2(tc), 2.299999952316284);
    vec4 s2d_level_offset = textureLodOffset(_group_0_binding_1_fs, vec2(tc), 2.299999952316284, ivec2(3, 1));
    vec4 s2d_bias_offset = textureOffset(_group_0_binding_1_fs, vec2(tc), ivec2(3, 1), 2.0);
    _fs2p_location0 = ((((s1d + s2d) + s2d_offset) + s2d_level) + s2d_level_offset);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/image.texture_sample_comparison.Fragment.glsl
================================================
#version 310 es
#extension GL_EXT_texture_cube_map_array : require

precision highp float;
precision highp int;

uniform highp sampler2DShadow _group_1_binding_2_fs;

uniform highp samplerCubeShadow _group_1_binding_3_fs;

layout(location = 0) out float _fs2p_location0;

void main() {
    vec2 tc = vec2(0.5);
    float s2d_depth = texture(_group_1_binding_2_fs, vec3(tc, 0.5));
    float s2d_depth_level = textureLod(_group_1_binding_2_fs, vec3(tc, 0.5), 0.0);
    float scube_depth_level = textureGrad(_group_1_binding_3_fs, vec4(vec3(0.5), 0.5), vec3(0.0), vec3(0.0));
    _fs2p_location0 = (s2d_depth + s2d_depth_level);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/interpolate.frag_main.Fragment.glsl
================================================
#version 400 core
struct FragmentInput {
    vec4 position;
    uint _flat;
    float _linear;
    vec2 linear_centroid;
    vec3 linear_sample;
    vec4 perspective;
    float perspective_centroid;
    float perspective_sample;
};
flat in uint _vs2fs_location0;
noperspective in float _vs2fs_location1;
noperspective centroid in vec2 _vs2fs_location2;
noperspective sample in vec3 _vs2fs_location3;
smooth in vec4 _vs2fs_location4;
smooth centroid in float _vs2fs_location5;
smooth sample in float _vs2fs_location6;

void main() {
    FragmentInput val = FragmentInput(gl_FragCoord, _vs2fs_location0, _vs2fs_location1, _vs2fs_location2, _vs2fs_location3, _vs2fs_location4, _vs2fs_location5, _vs2fs_location6);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/interpolate.vert_main.Vertex.glsl
================================================
#version 400 core
struct FragmentInput {
    vec4 position;
    uint _flat;
    float _linear;
    vec2 linear_centroid;
    vec3 linear_sample;
    vec4 perspective;
    float perspective_centroid;
    float perspective_sample;
};
flat out uint _vs2fs_location0;
noperspective out float _vs2fs_location1;
noperspective centroid out vec2 _vs2fs_location2;
noperspective sample out vec3 _vs2fs_location3;
smooth out vec4 _vs2fs_location4;
smooth centroid out float _vs2fs_location5;
smooth sample out float _vs2fs_location6;

void main() {
    FragmentInput out_ = FragmentInput(vec4(0.0), 0u, 0.0, vec2(0.0), vec3(0.0), vec4(0.0), 0.0, 0.0);
    out_.position = vec4(2.0, 4.0, 5.0, 6.0);
    out_._flat = 8u;
    out_._linear = 27.0;
    out_.linear_centroid = vec2(64.0, 125.0);
    out_.linear_sample = vec3(216.0, 343.0, 512.0);
    out_.perspective = vec4(729.0, 1000.0, 1331.0, 1728.0);
    out_.perspective_centroid = 2197.0;
    out_.perspective_sample = 2744.0;
    FragmentInput _e30 = out_;
    gl_Position = _e30.position;
    _vs2fs_location0 = _e30._flat;
    _vs2fs_location1 = _e30._linear;
    _vs2fs_location2 = _e30.linear_centroid;
    _vs2fs_location3 = _e30.linear_sample;
    _vs2fs_location4 = _e30.perspective;
    _vs2fs_location5 = _e30.perspective_centroid;
    _vs2fs_location6 = _e30.perspective_sample;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/math-functions.main.Vertex.glsl
================================================
#version 310 es

precision highp float;
precision highp int;


void main() {
    vec4 v = vec4(0.0);
    float a = degrees(1.0);
    float b = radians(1.0);
    vec4 c = degrees(v);
    vec4 d = radians(v);
    vec4 e = clamp(v, vec4(0.0), vec4(1.0));
    int const_dot = ( + ivec2(0, 0).x * ivec2(0, 0).x + ivec2(0, 0).y * ivec2(0, 0).y);
    uint first_leading_bit_abs = uint(findMSB(uint(abs(int(0u)))));
}



================================================
FILE: lib/naga/tests/out/glsl/multiview.main.Vertex.glsl
================================================
#version 310 es
#extension GL_EXT_multiview : require

precision highp float;
precision highp int;


void main() {
    int view_index = gl_ViewIndex;
    gl_Position.yz = vec2(-gl_Position.y, gl_Position.z * 2.0 - gl_Position.w);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/multiview_webgl.main.Vertex.glsl
================================================
#version 300 es
#extension GL_OVR_multiview2 : require

precision highp float;
precision highp int;

layout(num_views = 2) in;


void main() {
    int view_index = int(gl_ViewID_OVR);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/operators.main.Compute.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(local_size_x = 1, local_size_y = 1, local_size_z = 1) in;

struct Foo {
    vec4 a;
    int b;
};

vec4 builtins() {
    int s1_ = (true ? 1 : 0);
    vec4 s2_ = (true ? vec4(1.0, 1.0, 1.0, 1.0) : vec4(0.0, 0.0, 0.0, 0.0));
    vec4 s3_ = mix(vec4(1.0, 1.0, 1.0, 1.0), vec4(0.0, 0.0, 0.0, 0.0), bvec4(false, false, false, false));
    vec4 m1_ = mix(vec4(0.0, 0.0, 0.0, 0.0), vec4(1.0, 1.0, 1.0, 1.0), vec4(0.5, 0.5, 0.5, 0.5));
    vec4 m2_ = mix(vec4(0.0, 0.0, 0.0, 0.0), vec4(1.0, 1.0, 1.0, 1.0), 0.10000000149011612);
    float b1_ = intBitsToFloat(ivec4(1, 1, 1, 1).x);
    vec4 b2_ = intBitsToFloat(ivec4(1, 1, 1, 1));
    ivec4 v_i32_zero = ivec4(vec4(0.0, 0.0, 0.0, 0.0));
    return (((((vec4((ivec4(s1_) + v_i32_zero)) + s2_) + m1_) + m2_) + vec4(b1_)) + b2_);
}

vec4 splat() {
    vec2 a_2 = (((vec2(1.0) + vec2(2.0)) - vec2(3.0)) / vec2(4.0));
    ivec4 b = (ivec4(5) % ivec4(2));
    return (a_2.xyxy + vec4(b));
}

vec2 splat_assignment() {
    vec2 a = vec2(0.0);
    a = vec2(2.0);
    vec2 _e7 = a;
    a = (_e7 + vec2(1.0));
    vec2 _e11 = a;
    a = (_e11 - vec2(3.0));
    vec2 _e15 = a;
    a = (_e15 / vec2(4.0));
    vec2 _e19 = a;
    return _e19;
}

vec3 bool_cast(vec3 x) {
    bvec3 y = bvec3(x);
    return vec3(y);
}

float constructors() {
    Foo foo = Foo(vec4(0.0), 0);
    foo = Foo(vec4(1.0), 1);
    mat2x2 mat2comp = mat2x2(vec2(1.0, 0.0), vec2(0.0, 1.0));
    mat4x4 mat4comp = mat4x4(vec4(1.0, 0.0, 0.0, 0.0), vec4(0.0, 1.0, 0.0, 0.0), vec4(0.0, 0.0, 1.0, 0.0), vec4(0.0, 0.0, 0.0, 1.0));
    uvec2 unnamed = uvec2(0u);
    mat2x2 unnamed_1 = mat2x2(vec2(0.0), vec2(0.0));
    int unnamed_2[4] = int[4](0, 1, 2, 3);
    bool unnamed_3 = bool(false);
    int unnamed_4 = int(0);
    uint unnamed_5 = uint(0u);
    float unnamed_6 = float(0.0);
    uvec2 unnamed_7 = uvec2(uvec2(0u, 0u));
    mat2x3 unnamed_8 = mat2x3(mat2x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)));
    uvec2 unnamed_9 = uvec2(0u, 0u);
    mat2x3 unnamed_10 = mat2x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0));
    float _e75 = foo.a.x;
    return _e75;
}

void logical() {
    bool unnamed_11 = (!true);
    bvec2 unnamed_12 = not(bvec2(true));
    bool unnamed_13 = (true || false);
    bool unnamed_14 = (true && false);
    bool unnamed_15 = (true || false);
    bvec3 unnamed_16 = bvec3(bvec3(true).x || bvec3(false).x, bvec3(true).y || bvec3(false).y, bvec3(true).z || bvec3(false).z);
    bool unnamed_17 = (true && false);
    bvec4 unnamed_18 = bvec4(bvec4(true).x && bvec4(false).x, bvec4(true).y && bvec4(false).y, bvec4(true).z && bvec4(false).z, bvec4(true).w && bvec4(false).w);
}

void arithmetic() {
    ivec2 unnamed_19 = (-ivec2(1));
    vec2 unnamed_20 = (-vec2(1.0));
    int unnamed_21 = (2 + 1);
    uint unnamed_22 = (2u + 1u);
    float unnamed_23 = (2.0 + 1.0);
    ivec2 unnamed_24 = (ivec2(2) + ivec2(1));
    uvec3 unnamed_25 = (uvec3(2u) + uvec3(1u));
    vec4 unnamed_26 = (vec4(2.0) + vec4(1.0));
    int unnamed_27 = (2 - 1);
    uint unnamed_28 = (2u - 1u);
    float unnamed_29 = (2.0 - 1.0);
    ivec2 unnamed_30 = (ivec2(2) - ivec2(1));
    uvec3 unnamed_31 = (uvec3(2u) - uvec3(1u));
    vec4 unnamed_32 = (vec4(2.0) - vec4(1.0));
    int unnamed_33 = (2 * 1);
    uint unnamed_34 = (2u * 1u);
    float unnamed_35 = (2.0 * 1.0);
    ivec2 unnamed_36 = (ivec2(2) * ivec2(1));
    uvec3 unnamed_37 = (uvec3(2u) * uvec3(1u));
    vec4 unnamed_38 = (vec4(2.0) * vec4(1.0));
    int unnamed_39 = (2 / 1);
    uint unnamed_40 = (2u / 1u);
    float unnamed_41 = (2.0 / 1.0);
    ivec2 unnamed_42 = (ivec2(2) / ivec2(1));
    uvec3 unnamed_43 = (uvec3(2u) / uvec3(1u));
    vec4 unnamed_44 = (vec4(2.0) / vec4(1.0));
    int unnamed_45 = (2 % 1);
    uint unnamed_46 = (2u % 1u);
    float unnamed_47 = (2.0 - 1.0 * trunc(2.0 / 1.0));
    ivec2 unnamed_48 = (ivec2(2) % ivec2(1));
    uvec3 unnamed_49 = (uvec3(2u) % uvec3(1u));
    vec4 unnamed_50 = (vec4(2.0) - vec4(1.0) * trunc(vec4(2.0) / vec4(1.0)));
    ivec2 unnamed_51 = (ivec2(2) + ivec2(1));
    ivec2 unnamed_52 = (ivec2(2) + ivec2(1));
    uvec2 unnamed_53 = (uvec2(2u) + uvec2(1u));
    uvec2 unnamed_54 = (uvec2(2u) + uvec2(1u));
    vec2 unnamed_55 = (vec2(2.0) + vec2(1.0));
    vec2 unnamed_56 = (vec2(2.0) + vec2(1.0));
    ivec2 unnamed_57 = (ivec2(2) - ivec2(1));
    ivec2 unnamed_58 = (ivec2(2) - ivec2(1));
    uvec2 unnamed_59 = (uvec2(2u) - uvec2(1u));
    uvec2 unnamed_60 = (uvec2(2u) - uvec2(1u));
    vec2 unnamed_61 = (vec2(2.0) - vec2(1.0));
    vec2 unnamed_62 = (vec2(2.0) - vec2(1.0));
    ivec2 unnamed_63 = (ivec2(2) * 1);
    ivec2 unnamed_64 = (2 * ivec2(1));
    uvec2 unnamed_65 = (uvec2(2u) * 1u);
    uvec2 unnamed_66 = (2u * uvec2(1u));
    vec2 unnamed_67 = (vec2(2.0) * 1.0);
    vec2 unnamed_68 = (2.0 * vec2(1.0));
    ivec2 unnamed_69 = (ivec2(2) / ivec2(1));
    ivec2 unnamed_70 = (ivec2(2) / ivec2(1));
    uvec2 unnamed_71 = (uvec2(2u) / uvec2(1u));
    uvec2 unnamed_72 = (uvec2(2u) / uvec2(1u));
    vec2 unnamed_73 = (vec2(2.0) / vec2(1.0));
    vec2 unnamed_74 = (vec2(2.0) / vec2(1.0));
    ivec2 unnamed_75 = (ivec2(2) % ivec2(1));
    ivec2 unnamed_76 = (ivec2(2) % ivec2(1));
    uvec2 unnamed_77 = (uvec2(2u) % uvec2(1u));
    uvec2 unnamed_78 = (uvec2(2u) % uvec2(1u));
    vec2 unnamed_79 = (vec2(2.0) - vec2(1.0) * trunc(vec2(2.0) / vec2(1.0)));
    vec2 unnamed_80 = (vec2(2.0) - vec2(1.0) * trunc(vec2(2.0) / vec2(1.0)));
    mat3x3 unnamed_81 = (mat3x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)) + mat3x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)));
    mat3x3 unnamed_82 = (mat3x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)) - mat3x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)));
    mat3x3 unnamed_83 = (mat3x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)) * 1.0);
    mat3x3 unnamed_84 = (2.0 * mat3x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)));
    vec3 unnamed_85 = (mat4x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)) * vec4(1.0));
    vec4 unnamed_86 = (vec3(2.0) * mat4x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)));
    mat3x3 unnamed_87 = (mat4x3(vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0)) * mat3x4(vec4(0.0, 0.0, 0.0, 0.0), vec4(0.0, 0.0, 0.0, 0.0), vec4(0.0, 0.0, 0.0, 0.0)));
}

void bit() {
    int unnamed_88 = (~1);
    uint unnamed_89 = (~1u);
    ivec2 unnamed_90 = (~ivec2(1));
    uvec3 unnamed_91 = (~uvec3(1u));
    int unnamed_92 = (2 | 1);
    uint unnamed_93 = (2u | 1u);
    ivec2 unnamed_94 = (ivec2(2) | ivec2(1));
    uvec3 unnamed_95 = (uvec3(2u) | uvec3(1u));
    int unnamed_96 = (2 & 1);
    uint unnamed_97 = (2u & 1u);
    ivec2 unnamed_98 = (ivec2(2) & ivec2(1));
    uvec3 unnamed_99 = (uvec3(2u) & uvec3(1u));
    int unnamed_100 = (2 ^ 1);
    uint unnamed_101 = (2u ^ 1u);
    ivec2 unnamed_102 = (ivec2(2) ^ ivec2(1));
    uvec3 unnamed_103 = (uvec3(2u) ^ uvec3(1u));
    int unnamed_104 = (2 << 1u);
    uint unnamed_105 = (2u << 1u);
    ivec2 unnamed_106 = (ivec2(2) << uvec2(1u));
    uvec3 unnamed_107 = (uvec3(2u) << uvec3(1u));
    int unnamed_108 = (2 >> 1u);
    uint unnamed_109 = (2u >> 1u);
    ivec2 unnamed_110 = (ivec2(2) >> uvec2(1u));
    uvec3 unnamed_111 = (uvec3(2u) >> uvec3(1u));
}

void comparison() {
    bool unnamed_112 = (2 == 1);
    bool unnamed_113 = (2u == 1u);
    bool unnamed_114 = (2.0 == 1.0);
    bvec2 unnamed_115 = equal(ivec2(2), ivec2(1));
    bvec3 unnamed_116 = equal(uvec3(2u), uvec3(1u));
    bvec4 unnamed_117 = equal(vec4(2.0), vec4(1.0));
    bool unnamed_118 = (2 != 1);
    bool unnamed_119 = (2u != 1u);
    bool unnamed_120 = (2.0 != 1.0);
    bvec2 unnamed_121 = notEqual(ivec2(2), ivec2(1));
    bvec3 unnamed_122 = notEqual(uvec3(2u), uvec3(1u));
    bvec4 unnamed_123 = notEqual(vec4(2.0), vec4(1.0));
    bool unnamed_124 = (2 < 1);
    bool unnamed_125 = (2u < 1u);
    bool unnamed_126 = (2.0 < 1.0);
    bvec2 unnamed_127 = lessThan(ivec2(2), ivec2(1));
    bvec3 unnamed_128 = lessThan(uvec3(2u), uvec3(1u));
    bvec4 unnamed_129 = lessThan(vec4(2.0), vec4(1.0));
    bool unnamed_130 = (2 <= 1);
    bool unnamed_131 = (2u <= 1u);
    bool unnamed_132 = (2.0 <= 1.0);
    bvec2 unnamed_133 = lessThanEqual(ivec2(2), ivec2(1));
    bvec3 unnamed_134 = lessThanEqual(uvec3(2u), uvec3(1u));
    bvec4 unnamed_135 = lessThanEqual(vec4(2.0), vec4(1.0));
    bool unnamed_136 = (2 > 1);
    bool unnamed_137 = (2u > 1u);
    bool unnamed_138 = (2.0 > 1.0);
    bvec2 unnamed_139 = greaterThan(ivec2(2), ivec2(1));
    bvec3 unnamed_140 = greaterThan(uvec3(2u), uvec3(1u));
    bvec4 unnamed_141 = greaterThan(vec4(2.0), vec4(1.0));
    bool unnamed_142 = (2 >= 1);
    bool unnamed_143 = (2u >= 1u);
    bool unnamed_144 = (2.0 >= 1.0);
    bvec2 unnamed_145 = greaterThanEqual(ivec2(2), ivec2(1));
    bvec3 unnamed_146 = greaterThanEqual(uvec3(2u), uvec3(1u));
    bvec4 unnamed_147 = greaterThanEqual(vec4(2.0), vec4(1.0));
}

void assignment() {
    int a_1 = 1;
    ivec3 vec0_ = ivec3(0, 0, 0);
    int _e6 = a_1;
    a_1 = (_e6 + 1);
    int _e9 = a_1;
    a_1 = (_e9 - 1);
    int _e12 = a_1;
    int _e13 = a_1;
    a_1 = (_e12 * _e13);
    int _e15 = a_1;
    int _e16 = a_1;
    a_1 = (_e15 / _e16);
    int _e18 = a_1;
    a_1 = (_e18 % 1);
    int _e21 = a_1;
    a_1 = (_e21 & 0);
    int _e24 = a_1;
    a_1 = (_e24 | 0);
    int _e27 = a_1;
    a_1 = (_e27 ^ 0);
    int _e30 = a_1;
    a_1 = (_e30 << 2u);
    int _e33 = a_1;
    a_1 = (_e33 >> 1u);
    int _e36 = a_1;
    a_1 = (_e36 + 1);
    int _e39 = a_1;
    a_1 = (_e39 - 1);
    int _e46 = vec0_.y;
    vec0_.y = (_e46 + 1);
    int _e51 = vec0_.y;
    vec0_.y = (_e51 - 1);
    return;
}

void main() {
    vec4 _e4 = builtins();
    vec4 _e5 = splat();
    vec3 _e7 = bool_cast(vec4(1.0, 1.0, 1.0, 1.0).xyz);
    float _e8 = constructors();
    logical();
    arithmetic();
    bit();
    comparison();
    assignment();
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/padding.vertex.Vertex.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

struct S {
    vec3 a;
};
struct Test {
    S a;
    float b;
};
struct Test2_ {
    vec3 a[2];
    float b;
};
struct Test3_ {
    mat4x3 a;
    float b;
};
uniform Test_block_0Vertex { Test _group_0_binding_0_vs; };

uniform Test2__block_1Vertex { Test2_ _group_0_binding_1_vs; };

uniform Test3__block_2Vertex { Test3_ _group_0_binding_2_vs; };


void main() {
    float _e6 = _group_0_binding_0_vs.b;
    float _e9 = _group_0_binding_1_vs.b;
    float _e12 = _group_0_binding_2_vs.b;
    gl_Position = (((vec4(1.0) * _e6) * _e9) * _e12);
    gl_Position.yz = vec2(-gl_Position.y, gl_Position.z * 2.0 - gl_Position.w);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/push-constants.main.Fragment.glsl
================================================
#version 320 es

precision highp float;
precision highp int;

struct PushConstants {
    float multiplier;
};
struct FragmentIn {
    vec4 color;
};
uniform PushConstants pc;

layout(location = 0) smooth in vec4 _vs2fs_location0;
layout(location = 0) out vec4 _fs2p_location0;

void main() {
    FragmentIn in_ = FragmentIn(_vs2fs_location0);
    float _e4 = pc.multiplier;
    _fs2p_location0 = (in_.color * _e4);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/push-constants.vert_main.Vertex.glsl
================================================
#version 320 es

precision highp float;
precision highp int;

struct PushConstants {
    float multiplier;
};
struct FragmentIn {
    vec4 color;
};
uniform PushConstants pc;

layout(location = 0) in vec2 _p2vs_location0;

void main() {
    vec2 pos = _p2vs_location0;
    uint vi = uint(gl_VertexID);
    float _e5 = pc.multiplier;
    gl_Position = vec4(((float(vi) * _e5) * pos), 0.0, 1.0);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/quad-vert.main.Vertex.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

struct gen_gl_PerVertex {
    vec4 gen_gl_Position;
    float gen_gl_PointSize;
    float gen_gl_ClipDistance[1];
    float gen_gl_CullDistance[1];
};
struct type_9 {
    vec2 member;
    vec4 gen_gl_Position;
};
vec2 v_uv = vec2(0.0);

vec2 a_uv_1 = vec2(0.0);

gen_gl_PerVertex perVertexStruct = gen_gl_PerVertex(vec4(0.0, 0.0, 0.0, 1.0), 1.0, float[1](0.0), float[1](0.0));

vec2 a_pos_1 = vec2(0.0);

layout(location = 1) in vec2 _p2vs_location1;
layout(location = 0) in vec2 _p2vs_location0;
layout(location = 0) smooth out vec2 _vs2fs_location0;

void main_1() {
    vec2 _e12 = a_uv_1;
    v_uv = _e12;
    vec2 _e13 = a_pos_1;
    perVertexStruct.gen_gl_Position = vec4(_e13.x, _e13.y, 0.0, 1.0);
    return;
}

void main() {
    vec2 a_uv = _p2vs_location1;
    vec2 a_pos = _p2vs_location0;
    a_uv_1 = a_uv;
    a_pos_1 = a_pos;
    main_1();
    vec2 _e7 = v_uv;
    vec4 _e8 = perVertexStruct.gen_gl_Position;
    type_9 _tmp_return = type_9(_e7, _e8);
    _vs2fs_location0 = _tmp_return.member;
    gl_Position = _tmp_return.gen_gl_Position;
    gl_Position.yz = vec2(-gl_Position.y, gl_Position.z * 2.0 - gl_Position.w);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/quad.frag_main.Fragment.glsl
================================================
#version 300 es

precision highp float;
precision highp int;

struct VertexOutput {
    vec2 uv;
    vec4 position;
};
uniform highp sampler2D _group_0_binding_0_fs;

smooth in vec2 _vs2fs_location0;
layout(location = 0) out vec4 _fs2p_location0;

void main() {
    vec2 uv_1 = _vs2fs_location0;
    vec4 color = texture(_group_0_binding_0_fs, vec2(uv_1));
    if ((color.w == 0.0)) {
        discard;
    }
    vec4 premultiplied = (color.w * color);
    _fs2p_location0 = premultiplied;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/quad.fs_extra.Fragment.glsl
================================================
#version 300 es

precision highp float;
precision highp int;

struct VertexOutput {
    vec2 uv;
    vec4 position;
};
layout(location = 0) out vec4 _fs2p_location0;

void main() {
    _fs2p_location0 = vec4(0.0, 0.5, 0.0, 0.5);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/quad.main.Fragment.glsl
================================================
#version 300 es

precision highp float;
precision highp int;

struct VertexOutput {
    vec2 uv;
    vec4 position;
};

uniform highp sampler2D _group_0_binding_0;

smooth in vec2 _vs2fs_location0;
layout(location = 0) out vec4 _fs2p_location0;

void main() {
    vec2 uv_1 = _vs2fs_location0;
    vec4 color = texture(_group_0_binding_0, vec2(uv_1));
    if ((color.w == 0.0)) {
        discard;
    }
    vec4 premultiplied = (color.w * color);
    _fs2p_location0 = premultiplied;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/quad.main.Vertex.glsl
================================================
#version 300 es

precision highp float;
precision highp int;

struct VertexOutput {
    vec2 uv;
    vec4 position;
};

layout(location = 0) in vec2 _p2vs_location0;
layout(location = 1) in vec2 _p2vs_location1;
smooth out vec2 _vs2fs_location0;

void main() {
    vec2 pos = _p2vs_location0;
    vec2 uv = _p2vs_location1;
    VertexOutput _tmp_return = VertexOutput(uv, vec4((1.2000000476837158 * pos), 0.0, 1.0));
    _vs2fs_location0 = _tmp_return.uv;
    gl_Position = _tmp_return.position;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/quad.vert_main.Vertex.glsl
================================================
#version 300 es

precision highp float;
precision highp int;

struct VertexOutput {
    vec2 uv;
    vec4 position;
};
layout(location = 0) in vec2 _p2vs_location0;
layout(location = 1) in vec2 _p2vs_location1;
smooth out vec2 _vs2fs_location0;

void main() {
    vec2 pos = _p2vs_location0;
    vec2 uv = _p2vs_location1;
    VertexOutput _tmp_return = VertexOutput(uv, vec4((1.2000000476837158 * pos), 0.0, 1.0));
    _vs2fs_location0 = _tmp_return.uv;
    gl_Position = _tmp_return.position;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/shadow.fs_main.Fragment.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

struct Globals {
    mat4x4 view_proj;
    uvec4 num_lights;
};
struct Entity {
    mat4x4 world;
    vec4 color;
};
struct VertexOutput {
    vec4 proj_position;
    vec3 world_normal;
    vec4 world_position;
};
struct Light {
    mat4x4 proj;
    vec4 pos;
    vec4 color;
};
uniform Globals_block_0Fragment { Globals _group_0_binding_0_fs; };

uniform Entity_block_1Fragment { Entity _group_1_binding_0_fs; };

layout(std430) readonly buffer type_6_block_2Fragment { Light _group_0_binding_1_fs[]; };

uniform highp sampler2DArrayShadow _group_0_binding_2_fs;

layout(location = 0) smooth in vec3 _vs2fs_location0;
layout(location = 1) smooth in vec4 _vs2fs_location1;
layout(location = 0) out vec4 _fs2p_location0;

float fetch_shadow(uint light_id, vec4 homogeneous_coords) {
    if ((homogeneous_coords.w <= 0.0)) {
        return 1.0;
    }
    vec2 flip_correction = vec2(0.5, -0.5);
    float proj_correction = (1.0 / homogeneous_coords.w);
    vec2 light_local = (((homogeneous_coords.xy * flip_correction) * proj_correction) + vec2(0.5, 0.5));
    float _e28 = textureGrad(_group_0_binding_2_fs, vec4(light_local, int(light_id), (homogeneous_coords.z * proj_correction)), vec2(0.0), vec2(0.0));
    return _e28;
}

void main() {
    VertexOutput in_ = VertexOutput(gl_FragCoord, _vs2fs_location0, _vs2fs_location1);
    vec3 color = vec3(0.05000000074505806, 0.05000000074505806, 0.05000000074505806);
    uint i = 0u;
    vec3 normal_1 = normalize(in_.world_normal);
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            uint _e20 = i;
            i = (_e20 + 1u);
        }
        loop_init = false;
        uint _e14 = i;
        uint _e17 = _group_0_binding_0_fs.num_lights.x;
        if ((_e14 < min(_e17, 10u))) {
        } else {
            break;
        }
        uint _e23 = i;
        Light light = _group_0_binding_1_fs[_e23];
        uint _e26 = i;
        float _e30 = fetch_shadow(_e26, (light.proj * in_.world_position));
        vec3 light_dir = normalize((light.pos.xyz - in_.world_position.xyz));
        float diffuse = max(0.0, dot(normal_1, light_dir));
        vec3 _e40 = color;
        color = (_e40 + ((_e30 * diffuse) * light.color.xyz));
    }
    vec3 _e46 = color;
    vec4 _e50 = _group_1_binding_0_fs.color;
    _fs2p_location0 = (vec4(_e46, 1.0) * _e50);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/shadow.fs_main_without_storage.Fragment.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

struct Globals {
    mat4x4 view_proj;
    uvec4 num_lights;
};
struct Entity {
    mat4x4 world;
    vec4 color;
};
struct VertexOutput {
    vec4 proj_position;
    vec3 world_normal;
    vec4 world_position;
};
struct Light {
    mat4x4 proj;
    vec4 pos;
    vec4 color;
};
uniform Globals_block_0Fragment { Globals _group_0_binding_0_fs; };

uniform Entity_block_1Fragment { Entity _group_1_binding_0_fs; };

uniform type_7_block_2Fragment { Light _group_0_binding_1_fs[10]; };

uniform highp sampler2DArrayShadow _group_0_binding_2_fs;

layout(location = 0) smooth in vec3 _vs2fs_location0;
layout(location = 1) smooth in vec4 _vs2fs_location1;
layout(location = 0) out vec4 _fs2p_location0;

float fetch_shadow(uint light_id, vec4 homogeneous_coords) {
    if ((homogeneous_coords.w <= 0.0)) {
        return 1.0;
    }
    vec2 flip_correction = vec2(0.5, -0.5);
    float proj_correction = (1.0 / homogeneous_coords.w);
    vec2 light_local = (((homogeneous_coords.xy * flip_correction) * proj_correction) + vec2(0.5, 0.5));
    float _e28 = textureGrad(_group_0_binding_2_fs, vec4(light_local, int(light_id), (homogeneous_coords.z * proj_correction)), vec2(0.0), vec2(0.0));
    return _e28;
}

void main() {
    VertexOutput in_1 = VertexOutput(gl_FragCoord, _vs2fs_location0, _vs2fs_location1);
    vec3 color_1 = vec3(0.05000000074505806, 0.05000000074505806, 0.05000000074505806);
    uint i_1 = 0u;
    vec3 normal_1 = normalize(in_1.world_normal);
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            uint _e20 = i_1;
            i_1 = (_e20 + 1u);
        }
        loop_init = false;
        uint _e14 = i_1;
        uint _e17 = _group_0_binding_0_fs.num_lights.x;
        if ((_e14 < min(_e17, 10u))) {
        } else {
            break;
        }
        uint _e23 = i_1;
        Light light = _group_0_binding_1_fs[_e23];
        uint _e26 = i_1;
        float _e30 = fetch_shadow(_e26, (light.proj * in_1.world_position));
        vec3 light_dir = normalize((light.pos.xyz - in_1.world_position.xyz));
        float diffuse = max(0.0, dot(normal_1, light_dir));
        vec3 _e40 = color_1;
        color_1 = (_e40 + ((_e30 * diffuse) * light.color.xyz));
    }
    vec3 _e46 = color_1;
    vec4 _e50 = _group_1_binding_0_fs.color;
    _fs2p_location0 = (vec4(_e46, 1.0) * _e50);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/shadow.vs_main.Vertex.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

struct Globals {
    mat4x4 view_proj;
    uvec4 num_lights;
};
struct Entity {
    mat4x4 world;
    vec4 color;
};
struct VertexOutput {
    vec4 proj_position;
    vec3 world_normal;
    vec4 world_position;
};
struct Light {
    mat4x4 proj;
    vec4 pos;
    vec4 color;
};
uniform Globals_block_0Vertex { Globals _group_0_binding_0_vs; };

uniform Entity_block_1Vertex { Entity _group_1_binding_0_vs; };

layout(location = 0) in ivec4 _p2vs_location0;
layout(location = 1) in ivec4 _p2vs_location1;
layout(location = 0) smooth out vec3 _vs2fs_location0;
layout(location = 1) smooth out vec4 _vs2fs_location1;

void main() {
    ivec4 position = _p2vs_location0;
    ivec4 normal = _p2vs_location1;
    VertexOutput out_ = VertexOutput(vec4(0.0), vec3(0.0), vec4(0.0));
    mat4x4 w = _group_1_binding_0_vs.world;
    mat4x4 _e7 = _group_1_binding_0_vs.world;
    vec4 world_pos = (_e7 * vec4(position));
    out_.world_normal = (mat3x3(w[0].xyz, w[1].xyz, w[2].xyz) * vec3(normal.xyz));
    out_.world_position = world_pos;
    mat4x4 _e25 = _group_0_binding_0_vs.view_proj;
    out_.proj_position = (_e25 * world_pos);
    VertexOutput _e27 = out_;
    gl_Position = _e27.proj_position;
    _vs2fs_location0 = _e27.world_normal;
    _vs2fs_location1 = _e27.world_position;
    gl_Position.yz = vec2(-gl_Position.y, gl_Position.z * 2.0 - gl_Position.w);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/skybox.fs_main.Fragment.glsl
================================================
#version 320 es

precision highp float;
precision highp int;

struct VertexOutput {
    vec4 position;
    vec3 uv;
};
struct Data {
    mat4x4 proj_inv;
    mat4x4 view;
};
layout(binding = 0) uniform highp samplerCube _group_0_binding_1_fs;

layout(location = 0) smooth in vec3 _vs2fs_location0;
layout(location = 0) out vec4 _fs2p_location0;

void main() {
    VertexOutput in_ = VertexOutput(gl_FragCoord, _vs2fs_location0);
    vec4 _e5 = texture(_group_0_binding_1_fs, vec3(in_.uv));
    _fs2p_location0 = _e5;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/skybox.vs_main.Vertex.glsl
================================================
#version 320 es

precision highp float;
precision highp int;

struct VertexOutput {
    vec4 position;
    vec3 uv;
};
struct Data {
    mat4x4 proj_inv;
    mat4x4 view;
};
layout(std140, binding = 0) uniform Data_block_0Vertex { Data _group_0_binding_0_vs; };

layout(location = 0) smooth out vec3 _vs2fs_location0;

void main() {
    uint vertex_index = uint(gl_VertexID);
    int tmp1_ = 0;
    int tmp2_ = 0;
    tmp1_ = (int(vertex_index) / 2);
    tmp2_ = (int(vertex_index) & 1);
    int _e10 = tmp1_;
    int _e16 = tmp2_;
    vec4 pos = vec4(((float(_e10) * 4.0) - 1.0), ((float(_e16) * 4.0) - 1.0), 0.0, 1.0);
    vec4 _e27 = _group_0_binding_0_vs.view[0];
    vec4 _e31 = _group_0_binding_0_vs.view[1];
    vec4 _e35 = _group_0_binding_0_vs.view[2];
    mat3x3 inv_model_view = transpose(mat3x3(_e27.xyz, _e31.xyz, _e35.xyz));
    mat4x4 _e40 = _group_0_binding_0_vs.proj_inv;
    vec4 unprojected = (_e40 * pos);
    VertexOutput _tmp_return = VertexOutput(pos, (inv_model_view * unprojected.xyz));
    gl_Position = _tmp_return.position;
    _vs2fs_location0 = _tmp_return.uv;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/standard.derivatives.Fragment.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

layout(location = 0) out vec4 _fs2p_location0;

void main() {
    vec4 foo = gl_FragCoord;
    vec4 x = dFdx(foo);
    vec4 y = dFdy(foo);
    vec4 z = fwidth(foo);
    _fs2p_location0 = ((x + y) * z);
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/texture-arg.main.Fragment.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

uniform highp sampler2D _group_0_binding_0_fs;

layout(location = 0) out vec4 _fs2p_location0;

vec4 test(highp sampler2D Passed_Texture) {
    vec4 _e7 = texture(Passed_Texture, vec2(vec2(0.0, 0.0)));
    return _e7;
}

void main() {
    vec4 _e2 = test(_group_0_binding_0_fs);
    _fs2p_location0 = _e2;
    return;
}



================================================
FILE: lib/naga/tests/out/glsl/variations-glsl.main.Fragment.glsl
================================================
#version 310 es

precision highp float;
precision highp int;

uniform highp samplerCube _group_0_binding_0_fs;


void main_1() {
    ivec2 sizeCube = ivec2(0);
    float a = 0.0;
    sizeCube = textureSize(_group_0_binding_0_fs, 0).xy;
    a = ceil(1.0);
    return;
}

void main() {
    main_1();
    return;
}



================================================
FILE: lib/naga/tests/out/hlsl/access.hlsl
================================================

typedef struct { float2 _0; float2 _1; } __mat2x2;
float2 __get_col_of_mat2x2(__mat2x2 mat, uint idx) {
    switch(idx) {
    case 0: { return mat._0; }
    case 1: { return mat._1; }
    default: { return (float2)0; }
    }
}
void __set_col_of_mat2x2(__mat2x2 mat, uint idx, float2 value) {
    switch(idx) {
    case 0: { mat._0 = value; break; }
    case 1: { mat._1 = value; break; }
    }
}
void __set_el_of_mat2x2(__mat2x2 mat, uint idx, uint vec_idx, float value) {
    switch(idx) {
    case 0: { mat._0[vec_idx] = value; break; }
    case 1: { mat._1[vec_idx] = value; break; }
    }
}

typedef struct { float2 _0; float2 _1; float2 _2; float2 _3; } __mat4x2;
float2 __get_col_of_mat4x2(__mat4x2 mat, uint idx) {
    switch(idx) {
    case 0: { return mat._0; }
    case 1: { return mat._1; }
    case 2: { return mat._2; }
    case 3: { return mat._3; }
    default: { return (float2)0; }
    }
}
void __set_col_of_mat4x2(__mat4x2 mat, uint idx, float2 value) {
    switch(idx) {
    case 0: { mat._0 = value; break; }
    case 1: { mat._1 = value; break; }
    case 2: { mat._2 = value; break; }
    case 3: { mat._3 = value; break; }
    }
}
void __set_el_of_mat4x2(__mat4x2 mat, uint idx, uint vec_idx, float value) {
    switch(idx) {
    case 0: { mat._0[vec_idx] = value; break; }
    case 1: { mat._1[vec_idx] = value; break; }
    case 2: { mat._2[vec_idx] = value; break; }
    case 3: { mat._3[vec_idx] = value; break; }
    }
}

struct GlobalConst {
    uint a;
    int _pad1_0;
    int _pad1_1;
    int _pad1_2;
    uint3 b;
    int c;
};

struct AlignedWrapper {
    int value;
    int _end_pad_0;
};

struct Baz {
    float2 m_0; float2 m_1; float2 m_2;
};

struct MatCx2InArray {
    __mat4x2 am[2];
};

GlobalConst ConstructGlobalConst(uint arg0, uint3 arg1, int arg2) {
    GlobalConst ret = (GlobalConst)0;
    ret.a = arg0;
    ret.b = arg1;
    ret.c = arg2;
    return ret;
}

typedef float4x2 ret_Constructarray2_float4x2_[2];
ret_Constructarray2_float4x2_ Constructarray2_float4x2_(float4x2 arg0, float4x2 arg1) {
    float4x2 ret[2] = { arg0, arg1 };
    return ret;
}

typedef float ret_Constructarray10_float_[10];
ret_Constructarray10_float_ Constructarray10_float_(float arg0, float arg1, float arg2, float arg3, float arg4, float arg5, float arg6, float arg7, float arg8, float arg9) {
    float ret[10] = { arg0, arg1, arg2, arg3, arg4, arg5, arg6, arg7, arg8, arg9 };
    return ret;
}

typedef float ret_Constructarray5_array10_float__[5][10];
ret_Constructarray5_array10_float__ Constructarray5_array10_float__(float arg0[10], float arg1[10], float arg2[10], float arg3[10], float arg4[10]) {
    float ret[5][10] = { arg0, arg1, arg2, arg3, arg4 };
    return ret;
}

static GlobalConst global_const = ConstructGlobalConst(0u, uint3(0u, 0u, 0u), 0);
RWByteAddressBuffer bar : register(u0);
cbuffer baz : register(b1) { Baz baz; }
RWByteAddressBuffer qux : register(u2);
cbuffer nested_mat_cx2_ : register(b3) { MatCx2InArray nested_mat_cx2_; }
groupshared uint val;

float3x2 GetMatmOnBaz(Baz obj) {
    return float3x2(obj.m_0, obj.m_1, obj.m_2);
}

void SetMatmOnBaz(Baz obj, float3x2 mat) {
    obj.m_0 = mat[0];
    obj.m_1 = mat[1];
    obj.m_2 = mat[2];
}

void SetMatVecmOnBaz(Baz obj, float2 vec, uint mat_idx) {
    switch(mat_idx) {
    case 0: { obj.m_0 = vec; break; }
    case 1: { obj.m_1 = vec; break; }
    case 2: { obj.m_2 = vec; break; }
    }
}

void SetMatScalarmOnBaz(Baz obj, float scalar, uint mat_idx, uint vec_idx) {
    switch(mat_idx) {
    case 0: { obj.m_0[vec_idx] = scalar; break; }
    case 1: { obj.m_1[vec_idx] = scalar; break; }
    case 2: { obj.m_2[vec_idx] = scalar; break; }
    }
}

Baz ConstructBaz(float3x2 arg0) {
    Baz ret = (Baz)0;
    ret.m_0 = arg0[0];
    ret.m_1 = arg0[1];
    ret.m_2 = arg0[2];
    return ret;
}

void test_matrix_within_struct_accesses()
{
    int idx = 1;
    Baz t = (Baz)0;

    int _expr6 = idx;
    idx = (_expr6 - 1);
    float3x2 unnamed = GetMatmOnBaz(baz);
    float2 unnamed_1 = GetMatmOnBaz(baz)[0];
    int _expr16 = idx;
    float2 unnamed_2 = GetMatmOnBaz(baz)[_expr16];
    float unnamed_3 = GetMatmOnBaz(baz)[0][1];
    int _expr28 = idx;
    float unnamed_4 = GetMatmOnBaz(baz)[0][_expr28];
    int _expr32 = idx;
    float unnamed_5 = GetMatmOnBaz(baz)[_expr32][1];
    int _expr38 = idx;
    int _expr40 = idx;
    float unnamed_6 = GetMatmOnBaz(baz)[_expr38][_expr40];
    t = ConstructBaz(float3x2((1.0).xx, (2.0).xx, (3.0).xx));
    int _expr52 = idx;
    idx = (_expr52 + 1);
    SetMatmOnBaz(t, float3x2((6.0).xx, (5.0).xx, (4.0).xx));
    t.m_0 = (9.0).xx;
    int _expr69 = idx;
    SetMatVecmOnBaz(t, (90.0).xx, _expr69);
    t.m_0[1] = 10.0;
    int _expr82 = idx;
    t.m_0[_expr82] = 20.0;
    int _expr86 = idx;
    SetMatScalarmOnBaz(t, 30.0, _expr86, 1);
    int _expr92 = idx;
    int _expr94 = idx;
    SetMatScalarmOnBaz(t, 40.0, _expr92, _expr94);
    return;
}

MatCx2InArray ConstructMatCx2InArray(float4x2 arg0[2]) {
    MatCx2InArray ret = (MatCx2InArray)0;
    ret.am = (__mat4x2[2])arg0;
    return ret;
}

void test_matrix_within_array_within_struct_accesses()
{
    int idx_1 = 1;
    MatCx2InArray t_1 = (MatCx2InArray)0;

    int _expr7 = idx_1;
    idx_1 = (_expr7 - 1);
    float4x2 unnamed_7[2] = ((float4x2[2])nested_mat_cx2_.am);
    float4x2 unnamed_8 = ((float4x2)nested_mat_cx2_.am[0]);
    float2 unnamed_9 = nested_mat_cx2_.am[0]._0;
    int _expr25 = idx_1;
    float2 unnamed_10 = __get_col_of_mat4x2(nested_mat_cx2_.am[0], _expr25);
    float unnamed_11 = nested_mat_cx2_.am[0]._0[1];
    int _expr41 = idx_1;
    float unnamed_12 = nested_mat_cx2_.am[0]._0[_expr41];
    int _expr47 = idx_1;
    float unnamed_13 = __get_col_of_mat4x2(nested_mat_cx2_.am[0], _expr47)[1];
    int _expr55 = idx_1;
    int _expr57 = idx_1;
    float unnamed_14 = __get_col_of_mat4x2(nested_mat_cx2_.am[0], _expr55)[_expr57];
    t_1 = ConstructMatCx2InArray(Constructarray2_float4x2_(float4x2(float2(0.0, 0.0), float2(0.0, 0.0), float2(0.0, 0.0), float2(0.0, 0.0)), float4x2(float2(0.0, 0.0), float2(0.0, 0.0), float2(0.0, 0.0), float2(0.0, 0.0))));
    int _expr63 = idx_1;
    idx_1 = (_expr63 + 1);
    t_1.am = (__mat4x2[2])Constructarray2_float4x2_(float4x2(float2(0.0, 0.0), float2(0.0, 0.0), float2(0.0, 0.0), float2(0.0, 0.0)), float4x2(float2(0.0, 0.0), float2(0.0, 0.0), float2(0.0, 0.0), float2(0.0, 0.0)));
    t_1.am[0] = (__mat4x2)float4x2((8.0).xx, (7.0).xx, (6.0).xx, (5.0).xx);
    t_1.am[0]._0 = (9.0).xx;
    int _expr90 = idx_1;
    __set_col_of_mat4x2(t_1.am[0], _expr90, (90.0).xx);
    t_1.am[0]._0[1] = 10.0;
    int _expr107 = idx_1;
    t_1.am[0]._0[_expr107] = 20.0;
    int _expr113 = idx_1;
    __set_el_of_mat4x2(t_1.am[0], _expr113, 1, 30.0);
    int _expr121 = idx_1;
    int _expr123 = idx_1;
    __set_el_of_mat4x2(t_1.am[0], _expr121, _expr123, 40.0);
    return;
}

float read_from_private(inout float foo_1)
{
    float _expr6 = foo_1;
    return _expr6;
}

float test_arr_as_arg(float a[5][10])
{
    return a[4][9];
}

void assign_through_ptr_fn(inout uint p)
{
    p = 42u;
    return;
}

uint NagaBufferLengthRW(RWByteAddressBuffer buffer)
{
    uint ret;
    buffer.GetDimensions(ret);
    return ret;
}

typedef int ret_Constructarray5_int_[5];
ret_Constructarray5_int_ Constructarray5_int_(int arg0, int arg1, int arg2, int arg3, int arg4) {
    int ret[5] = { arg0, arg1, arg2, arg3, arg4 };
    return ret;
}

float4 foo_vert(uint vi : SV_VertexID) : SV_Position
{
    float foo = 0.0;
    int c[5] = {(int)0,(int)0,(int)0,(int)0,(int)0};

    float baz_1 = foo;
    foo = 1.0;
    test_matrix_within_struct_accesses();
    test_matrix_within_array_within_struct_accesses();
    float4x3 _matrix = float4x3(asfloat(bar.Load3(0+0)), asfloat(bar.Load3(0+16)), asfloat(bar.Load3(0+32)), asfloat(bar.Load3(0+48)));
    uint2 arr[2] = {asuint(bar.Load2(104+0)), asuint(bar.Load2(104+8))};
    float b = asfloat(bar.Load(0+48+0));
    int a_1 = asint(bar.Load(0+(((NagaBufferLengthRW(bar) - 120) / 8) - 2u)*8+120));
    int2 c_1 = asint(qux.Load2(0));
    const float _e32 = read_from_private(foo);
    c = Constructarray5_int_(a_1, int(b), 3, 4, 5);
    c[(vi + 1u)] = 42;
    int value = c[vi];
    const float _e46 = test_arr_as_arg(Constructarray5_array10_float__(Constructarray10_float_(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), Constructarray10_float_(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), Constructarray10_float_(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), Constructarray10_float_(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), Constructarray10_float_(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0)));
    return float4(mul(float4((value).xxxx), _matrix), 2.0);
}

typedef uint2 ret_Constructarray2_uint2_[2];
ret_Constructarray2_uint2_ Constructarray2_uint2_(uint2 arg0, uint2 arg1) {
    uint2 ret[2] = { arg0, arg1 };
    return ret;
}

float4 foo_frag() : SV_Target0
{
    bar.Store(8+16+0, asuint(1.0));
    {
        float4x3 _value2 = float4x3((0.0).xxx, (1.0).xxx, (2.0).xxx, (3.0).xxx);
        bar.Store3(0+0, asuint(_value2[0]));
        bar.Store3(0+16, asuint(_value2[1]));
        bar.Store3(0+32, asuint(_value2[2]));
        bar.Store3(0+48, asuint(_value2[3]));
    }
    {
        uint2 _value2[2] = Constructarray2_uint2_((0u).xx, (1u).xx);
        bar.Store2(104+0, asuint(_value2[0]));
        bar.Store2(104+8, asuint(_value2[1]));
    }
    bar.Store(0+8+120, asuint(1));
    qux.Store2(0, asuint(int2(0, 0)));
    return (0.0).xxxx;
}

[numthreads(1, 1, 1)]
void atomics()
{
    int tmp = (int)0;

    int value_1 = asint(bar.Load(96));
    int _e10; bar.InterlockedAdd(96, 5, _e10);
    tmp = _e10;
    int _e13; bar.InterlockedAdd(96, -5, _e13);
    tmp = _e13;
    int _e16; bar.InterlockedAnd(96, 5, _e16);
    tmp = _e16;
    int _e19; bar.InterlockedOr(96, 5, _e19);
    tmp = _e19;
    int _e22; bar.InterlockedXor(96, 5, _e22);
    tmp = _e22;
    int _e25; bar.InterlockedMin(96, 5, _e25);
    tmp = _e25;
    int _e28; bar.InterlockedMax(96, 5, _e28);
    tmp = _e28;
    int _e31; bar.InterlockedExchange(96, 5, _e31);
    tmp = _e31;
    bar.Store(96, asuint(value_1));
    return;
}

[numthreads(1, 1, 1)]
void assign_through_ptr()
{
    assign_through_ptr_fn(val);
    return;
}


================================================
FILE: lib/naga/tests/out/hlsl/access.hlsl.config
================================================
vertex=(foo_vert:vs_5_1 )
fragment=(foo_frag:ps_5_1 )
compute=(atomics:cs_5_1 assign_through_ptr:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/binding-arrays.hlsl
================================================

struct UniformIndex {
    uint index;
};

struct FragmentIn {
    nointerpolation uint index : LOC0;
};

Texture2D<float4> texture_array_unbounded[10] : register(t0);
Texture2D<float4> texture_array_bounded[5] : register(t0, space1);
Texture2DArray<float4> texture_array_2darray[5] : register(t0, space2);
Texture2DMS<float4> texture_array_multisampled[5] : register(t0, space3);
Texture2D<float> texture_array_depth[5] : register(t0, space4);
RWTexture2D<float4> texture_array_storage[5] : register(u0, space5);
SamplerState samp[5] : register(s0, space6);
SamplerComparisonState samp_comp[5] : register(s0, space7);
cbuffer uni : register(b0, space8) { UniformIndex uni; }

struct FragmentInput_main {
    nointerpolation uint index : LOC0;
};

int2 NagaDimensions2D(Texture2D<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z);
    return ret.xy;
}

int NagaNumLayers2DArray(Texture2DArray<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z, ret.w);
    return ret.w;
}

int NagaNumLevels2D(Texture2D<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z);
    return ret.z;
}

int NagaMSNumSamples2D(Texture2DMS<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(ret.x, ret.y, ret.z);
    return ret.z;
}

float4 main(FragmentInput_main fragmentinput_main) : SV_Target0
{
    FragmentIn fragment_in = { fragmentinput_main.index };
    int i1_ = 0;
    int2 i2_ = (int2)0;
    float v1_ = 0.0;
    float4 v4_ = (float4)0;

    uint uniform_index = uni.index;
    uint non_uniform_index = fragment_in.index;
    i2_ = (0).xx;
    v4_ = (0.0).xxxx;
    float2 uv = (0.0).xx;
    int2 pix = (0).xx;
    int2 _expr27 = i2_;
    i2_ = (_expr27 + NagaDimensions2D(texture_array_unbounded[0]));
    int2 _expr32 = i2_;
    i2_ = (_expr32 + NagaDimensions2D(texture_array_unbounded[uniform_index]));
    int2 _expr36 = i2_;
    i2_ = (_expr36 + NagaDimensions2D(texture_array_unbounded[NonUniformResourceIndex(non_uniform_index)]));
    float4 _expr40 = v4_;
    float4 _expr45 = texture_array_bounded[0].Gather(samp[0], uv);
    v4_ = (_expr40 + _expr45);
    float4 _expr47 = v4_;
    float4 _expr50 = texture_array_bounded[uniform_index].Gather(samp[uniform_index], uv);
    v4_ = (_expr47 + _expr50);
    float4 _expr52 = v4_;
    float4 _expr55 = texture_array_bounded[NonUniformResourceIndex(non_uniform_index)].Gather(samp[NonUniformResourceIndex(non_uniform_index)], uv);
    v4_ = (_expr52 + _expr55);
    float4 _expr57 = v4_;
    float4 _expr63 = texture_array_depth[0].GatherCmp(samp_comp[0], uv, 0.0);
    v4_ = (_expr57 + _expr63);
    float4 _expr65 = v4_;
    float4 _expr69 = texture_array_depth[uniform_index].GatherCmp(samp_comp[uniform_index], uv, 0.0);
    v4_ = (_expr65 + _expr69);
    float4 _expr71 = v4_;
    float4 _expr75 = texture_array_depth[NonUniformResourceIndex(non_uniform_index)].GatherCmp(samp_comp[NonUniformResourceIndex(non_uniform_index)], uv, 0.0);
    v4_ = (_expr71 + _expr75);
    float4 _expr77 = v4_;
    float4 _expr81 = texture_array_unbounded[0].Load(int3(pix, 0));
    v4_ = (_expr77 + _expr81);
    float4 _expr83 = v4_;
    float4 _expr86 = texture_array_unbounded[uniform_index].Load(int3(pix, 0));
    v4_ = (_expr83 + _expr86);
    float4 _expr88 = v4_;
    float4 _expr91 = texture_array_unbounded[NonUniformResourceIndex(non_uniform_index)].Load(int3(pix, 0));
    v4_ = (_expr88 + _expr91);
    int _expr93 = i1_;
    i1_ = (_expr93 + NagaNumLayers2DArray(texture_array_2darray[0]));
    int _expr98 = i1_;
    i1_ = (_expr98 + NagaNumLayers2DArray(texture_array_2darray[uniform_index]));
    int _expr102 = i1_;
    i1_ = (_expr102 + NagaNumLayers2DArray(texture_array_2darray[NonUniformResourceIndex(non_uniform_index)]));
    int _expr106 = i1_;
    i1_ = (_expr106 + NagaNumLevels2D(texture_array_bounded[0]));
    int _expr111 = i1_;
    i1_ = (_expr111 + NagaNumLevels2D(texture_array_bounded[uniform_index]));
    int _expr115 = i1_;
    i1_ = (_expr115 + NagaNumLevels2D(texture_array_bounded[NonUniformResourceIndex(non_uniform_index)]));
    int _expr119 = i1_;
    i1_ = (_expr119 + NagaMSNumSamples2D(texture_array_multisampled[0]));
    int _expr124 = i1_;
    i1_ = (_expr124 + NagaMSNumSamples2D(texture_array_multisampled[uniform_index]));
    int _expr128 = i1_;
    i1_ = (_expr128 + NagaMSNumSamples2D(texture_array_multisampled[NonUniformResourceIndex(non_uniform_index)]));
    float4 _expr132 = v4_;
    float4 _expr137 = texture_array_bounded[0].Sample(samp[0], uv);
    v4_ = (_expr132 + _expr137);
    float4 _expr139 = v4_;
    float4 _expr142 = texture_array_bounded[uniform_index].Sample(samp[uniform_index], uv);
    v4_ = (_expr139 + _expr142);
    float4 _expr144 = v4_;
    float4 _expr147 = texture_array_bounded[NonUniformResourceIndex(non_uniform_index)].Sample(samp[NonUniformResourceIndex(non_uniform_index)], uv);
    v4_ = (_expr144 + _expr147);
    float4 _expr149 = v4_;
    float4 _expr155 = texture_array_bounded[0].SampleBias(samp[0], uv, 0.0);
    v4_ = (_expr149 + _expr155);
    float4 _expr157 = v4_;
    float4 _expr161 = texture_array_bounded[uniform_index].SampleBias(samp[uniform_index], uv, 0.0);
    v4_ = (_expr157 + _expr161);
    float4 _expr163 = v4_;
    float4 _expr167 = texture_array_bounded[NonUniformResourceIndex(non_uniform_index)].SampleBias(samp[NonUniformResourceIndex(non_uniform_index)], uv, 0.0);
    v4_ = (_expr163 + _expr167);
    float _expr169 = v1_;
    float _expr175 = texture_array_depth[0].SampleCmp(samp_comp[0], uv, 0.0);
    v1_ = (_expr169 + _expr175);
    float _expr177 = v1_;
    float _expr181 = texture_array_depth[uniform_index].SampleCmp(samp_comp[uniform_index], uv, 0.0);
    v1_ = (_expr177 + _expr181);
    float _expr183 = v1_;
    float _expr187 = texture_array_depth[NonUniformResourceIndex(non_uniform_index)].SampleCmp(samp_comp[NonUniformResourceIndex(non_uniform_index)], uv, 0.0);
    v1_ = (_expr183 + _expr187);
    float _expr189 = v1_;
    float _expr195 = texture_array_depth[0].SampleCmpLevelZero(samp_comp[0], uv, 0.0);
    v1_ = (_expr189 + _expr195);
    float _expr197 = v1_;
    float _expr201 = texture_array_depth[uniform_index].SampleCmpLevelZero(samp_comp[uniform_index], uv, 0.0);
    v1_ = (_expr197 + _expr201);
    float _expr203 = v1_;
    float _expr207 = texture_array_depth[NonUniformResourceIndex(non_uniform_index)].SampleCmpLevelZero(samp_comp[NonUniformResourceIndex(non_uniform_index)], uv, 0.0);
    v1_ = (_expr203 + _expr207);
    float4 _expr209 = v4_;
    float4 _expr214 = texture_array_bounded[0].SampleGrad(samp[0], uv, uv, uv);
    v4_ = (_expr209 + _expr214);
    float4 _expr216 = v4_;
    float4 _expr219 = texture_array_bounded[uniform_index].SampleGrad(samp[uniform_index], uv, uv, uv);
    v4_ = (_expr216 + _expr219);
    float4 _expr221 = v4_;
    float4 _expr224 = texture_array_bounded[NonUniformResourceIndex(non_uniform_index)].SampleGrad(samp[NonUniformResourceIndex(non_uniform_index)], uv, uv, uv);
    v4_ = (_expr221 + _expr224);
    float4 _expr226 = v4_;
    float4 _expr232 = texture_array_bounded[0].SampleLevel(samp[0], uv, 0.0);
    v4_ = (_expr226 + _expr232);
    float4 _expr234 = v4_;
    float4 _expr238 = texture_array_bounded[uniform_index].SampleLevel(samp[uniform_index], uv, 0.0);
    v4_ = (_expr234 + _expr238);
    float4 _expr240 = v4_;
    float4 _expr244 = texture_array_bounded[NonUniformResourceIndex(non_uniform_index)].SampleLevel(samp[NonUniformResourceIndex(non_uniform_index)], uv, 0.0);
    v4_ = (_expr240 + _expr244);
    float4 _expr248 = v4_;
    texture_array_storage[0][pix] = _expr248;
    float4 _expr250 = v4_;
    texture_array_storage[uniform_index][pix] = _expr250;
    float4 _expr252 = v4_;
    texture_array_storage[NonUniformResourceIndex(non_uniform_index)][pix] = _expr252;
    int2 _expr253 = i2_;
    int _expr254 = i1_;
    float2 v2_ = float2((_expr253 + (_expr254).xx));
    float4 _expr258 = v4_;
    float _expr265 = v1_;
    return ((_expr258 + float4(v2_.x, v2_.y, v2_.x, v2_.y)) + (_expr265).xxxx);
}


================================================
FILE: lib/naga/tests/out/hlsl/binding-arrays.hlsl.config
================================================
vertex=()
fragment=(main:ps_5_1 )
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/boids.hlsl
================================================
static const uint NUM_PARTICLES = 1500;

struct Particle {
    float2 pos;
    float2 vel;
};

struct SimParams {
    float deltaT;
    float rule1Distance;
    float rule2Distance;
    float rule3Distance;
    float rule1Scale;
    float rule2Scale;
    float rule3Scale;
};

cbuffer params : register(b0) { SimParams params; }
ByteAddressBuffer particlesSrc : register(t1);
RWByteAddressBuffer particlesDst : register(u2);

[numthreads(64, 1, 1)]
void main(uint3 global_invocation_id : SV_DispatchThreadID)
{
    float2 vPos = (float2)0;
    float2 vVel = (float2)0;
    float2 cMass = (float2)0;
    float2 cVel = (float2)0;
    float2 colVel = (float2)0;
    int cMassCount = 0;
    int cVelCount = 0;
    float2 pos = (float2)0;
    float2 vel = (float2)0;
    uint i = 0u;

    uint index = global_invocation_id.x;
    if ((index >= NUM_PARTICLES)) {
        return;
    }
    float2 _expr10 = asfloat(particlesSrc.Load2(0+index*16+0));
    vPos = _expr10;
    float2 _expr15 = asfloat(particlesSrc.Load2(8+index*16+0));
    vVel = _expr15;
    cMass = float2(0.0, 0.0);
    cVel = float2(0.0, 0.0);
    colVel = float2(0.0, 0.0);
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            uint _expr86 = i;
            i = (_expr86 + 1u);
        }
        loop_init = false;
        uint _expr37 = i;
        if ((_expr37 >= NUM_PARTICLES)) {
            break;
        }
        uint _expr39 = i;
        if ((_expr39 == index)) {
            continue;
        }
        uint _expr42 = i;
        float2 _expr45 = asfloat(particlesSrc.Load2(0+_expr42*16+0));
        pos = _expr45;
        uint _expr47 = i;
        float2 _expr50 = asfloat(particlesSrc.Load2(8+_expr47*16+0));
        vel = _expr50;
        float2 _expr51 = pos;
        float2 _expr52 = vPos;
        float _expr55 = params.rule1Distance;
        if ((distance(_expr51, _expr52) < _expr55)) {
            float2 _expr57 = cMass;
            float2 _expr58 = pos;
            cMass = (_expr57 + _expr58);
            int _expr60 = cMassCount;
            cMassCount = (_expr60 + 1);
        }
        float2 _expr63 = pos;
        float2 _expr64 = vPos;
        float _expr67 = params.rule2Distance;
        if ((distance(_expr63, _expr64) < _expr67)) {
            float2 _expr69 = colVel;
            float2 _expr70 = pos;
            float2 _expr71 = vPos;
            colVel = (_expr69 - (_expr70 - _expr71));
        }
        float2 _expr74 = pos;
        float2 _expr75 = vPos;
        float _expr78 = params.rule3Distance;
        if ((distance(_expr74, _expr75) < _expr78)) {
            float2 _expr80 = cVel;
            float2 _expr81 = vel;
            cVel = (_expr80 + _expr81);
            int _expr83 = cVelCount;
            cVelCount = (_expr83 + 1);
        }
    }
    int _expr89 = cMassCount;
    if ((_expr89 > 0)) {
        float2 _expr92 = cMass;
        int _expr93 = cMassCount;
        float2 _expr97 = vPos;
        cMass = ((_expr92 / (float(_expr93)).xx) - _expr97);
    }
    int _expr99 = cVelCount;
    if ((_expr99 > 0)) {
        float2 _expr102 = cVel;
        int _expr103 = cVelCount;
        cVel = (_expr102 / (float(_expr103)).xx);
    }
    float2 _expr107 = vVel;
    float2 _expr108 = cMass;
    float _expr110 = params.rule1Scale;
    float2 _expr113 = colVel;
    float _expr115 = params.rule2Scale;
    float2 _expr118 = cVel;
    float _expr120 = params.rule3Scale;
    vVel = (((_expr107 + (_expr108 * _expr110)) + (_expr113 * _expr115)) + (_expr118 * _expr120));
    float2 _expr123 = vVel;
    float2 _expr125 = vVel;
    vVel = (normalize(_expr123) * clamp(length(_expr125), 0.0, 0.10000000149011612));
    float2 _expr131 = vPos;
    float2 _expr132 = vVel;
    float _expr134 = params.deltaT;
    vPos = (_expr131 + (_expr132 * _expr134));
    float _expr138 = vPos.x;
    if ((_expr138 < -1.0)) {
        vPos.x = 1.0;
    }
    float _expr144 = vPos.x;
    if ((_expr144 > 1.0)) {
        vPos.x = -1.0;
    }
    float _expr150 = vPos.y;
    if ((_expr150 < -1.0)) {
        vPos.y = 1.0;
    }
    float _expr156 = vPos.y;
    if ((_expr156 > 1.0)) {
        vPos.y = -1.0;
    }
    float2 _expr164 = vPos;
    particlesDst.Store2(0+index*16+0, asuint(_expr164));
    float2 _expr168 = vVel;
    particlesDst.Store2(8+index*16+0, asuint(_expr168));
    return;
}


================================================
FILE: lib/naga/tests/out/hlsl/boids.hlsl.config
================================================
vertex=()
fragment=()
compute=(main:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/break-if.hlsl
================================================

void breakIfEmpty()
{
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            if (true) {
                break;
            }
        }
        loop_init = false;
    }
    return;
}

void breakIfEmptyBody(bool a)
{
    bool b = (bool)0;
    bool c = (bool)0;

    bool loop_init_1 = true;
    while(true) {
        if (!loop_init_1) {
            b = a;
            bool _expr2 = b;
            c = (a != _expr2);
            bool _expr5 = c;
            bool unnamed = (a == _expr5);
            if (unnamed) {
                break;
            }
        }
        loop_init_1 = false;
    }
    return;
}

void breakIf(bool a_1)
{
    bool d = (bool)0;
    bool e = (bool)0;

    bool loop_init_2 = true;
    while(true) {
        if (!loop_init_2) {
            bool _expr5 = e;
            bool unnamed_1 = (a_1 == _expr5);
            if (unnamed_1) {
                break;
            }
        }
        loop_init_2 = false;
        d = a_1;
        bool _expr2 = d;
        e = (a_1 != _expr2);
    }
    return;
}

[numthreads(1, 1, 1)]
void main()
{
    return;
}


================================================
FILE: lib/naga/tests/out/hlsl/break-if.hlsl.config
================================================
vertex=()
fragment=()
compute=(main:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/collatz.hlsl
================================================

RWByteAddressBuffer v_indices : register(u0);

uint collatz_iterations(uint n_base)
{
    uint n = (uint)0;
    uint i = 0u;

    n = n_base;
    while(true) {
        uint _expr5 = n;
        if ((_expr5 > 1u)) {
        } else {
            break;
        }
        uint _expr8 = n;
        if (((_expr8 % 2u) == 0u)) {
            uint _expr13 = n;
            n = (_expr13 / 2u);
        } else {
            uint _expr17 = n;
            n = ((3u * _expr17) + 1u);
        }
        uint _expr21 = i;
        i = (_expr21 + 1u);
    }
    uint _expr24 = i;
    return _expr24;
}

[numthreads(1, 1, 1)]
void main(uint3 global_id : SV_DispatchThreadID)
{
    uint _expr8 = asuint(v_indices.Load(global_id.x*4+0));
    const uint _e9 = collatz_iterations(_expr8);
    v_indices.Store(global_id.x*4+0, asuint(_e9));
    return;
}


================================================
FILE: lib/naga/tests/out/hlsl/collatz.hlsl.config
================================================
vertex=()
fragment=()
compute=(main:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/control-flow.hlsl
================================================

void switch_default_break(int i)
{
    switch(i) {
        default: {
            break;
        }
    }
}

void switch_case_break()
{
    switch(0) {
        case 0: {
            break;
        }
        default: {
            break;
        }
    }
    return;
}

void loop_switch_continue(int x)
{
    while(true) {
        switch(x) {
            case 1: {
                continue;
            }
            default: {
                break;
            }
        }
    }
    return;
}

[numthreads(1, 1, 1)]
void main(uint3 global_id : SV_DispatchThreadID)
{
    int pos = (int)0;

    DeviceMemoryBarrierWithGroupSync();
    GroupMemoryBarrierWithGroupSync();
    switch(1) {
        default: {
            pos = 1;
            break;
        }
    }
    int _expr4 = pos;
    switch(_expr4) {
        case 1: {
            pos = 0;
            break;
        }
        case 2: {
            pos = 1;
            break;
        }
        case 3: {
            {
                pos = 2;
            }
            {
                pos = 3;
            }
            {
                pos = 4;
            }
            break;
        }
        case 4: {
            {
                pos = 3;
            }
            {
                pos = 4;
            }
            break;
        }
        default: {
            pos = 4;
            break;
        }
    }
    switch(0u) {
        case 0u: {
            break;
        }
        default: {
            break;
        }
    }
    int _expr11 = pos;
    switch(_expr11) {
        case 1: {
            pos = 0;
            break;
        }
        case 2: {
            pos = 1;
            return;
        }
        case 3: {
            {
                pos = 2;
            }
            {
                return;
            }
        }
        case 4: {
            return;
        }
        default: {
            pos = 3;
            return;
        }
    }
}


================================================
FILE: lib/naga/tests/out/hlsl/control-flow.hlsl.config
================================================
vertex=()
fragment=()
compute=(main:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/empty-global-name.hlsl
================================================

struct type_1 {
    int member;
};

RWByteAddressBuffer unnamed : register(u0);

void function()
{
    int _expr8 = asint(unnamed.Load(0));
    unnamed.Store(0, asuint((_expr8 + 1)));
    return;
}

[numthreads(1, 1, 1)]
void main()
{
    function();
}


================================================
FILE: lib/naga/tests/out/hlsl/empty-global-name.hlsl.config
================================================
vertex=()
fragment=()
compute=(main:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/empty.hlsl
================================================

[numthreads(1, 1, 1)]
void main()
{
    return;
}


================================================
FILE: lib/naga/tests/out/hlsl/empty.hlsl.config
================================================
vertex=()
fragment=()
compute=(main:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/functions.hlsl
================================================

float2 test_fma()
{
    float2 a = float2(2.0, 2.0);
    float2 b = float2(0.5, 0.5);
    float2 c = float2(0.5, 0.5);
    return mad(a, b, c);
}

int test_integer_dot_product()
{
    int2 a_2_ = (1).xx;
    int2 b_2_ = (1).xx;
    int c_2_ = dot(a_2_, b_2_);
    uint3 a_3_ = (1u).xxx;
    uint3 b_3_ = (1u).xxx;
    uint c_3_ = dot(a_3_, b_3_);
    int c_4_ = dot((4).xxxx, (2).xxxx);
    return c_4_;
}

[numthreads(1, 1, 1)]
void main()
{
    const float2 _e0 = test_fma();
    const int _e1 = test_integer_dot_product();
    return;
}


================================================
FILE: lib/naga/tests/out/hlsl/functions.hlsl.config
================================================
vertex=()
fragment=()
compute=(main:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/globals.hlsl
================================================
static const bool Foo_2 = true;

typedef struct { float2 _0; float2 _1; float2 _2; } __mat3x2;
float2 __get_col_of_mat3x2(__mat3x2 mat, uint idx) {
    switch(idx) {
    case 0: { return mat._0; }
    case 1: { return mat._1; }
    case 2: { return mat._2; }
    default: { return (float2)0; }
    }
}
void __set_col_of_mat3x2(__mat3x2 mat, uint idx, float2 value) {
    switch(idx) {
    case 0: { mat._0 = value; break; }
    case 1: { mat._1 = value; break; }
    case 2: { mat._2 = value; break; }
    }
}
void __set_el_of_mat3x2(__mat3x2 mat, uint idx, uint vec_idx, float value) {
    switch(idx) {
    case 0: { mat._0[vec_idx] = value; break; }
    case 1: { mat._1[vec_idx] = value; break; }
    case 2: { mat._2[vec_idx] = value; break; }
    }
}

typedef struct { float2 _0; float2 _1; float2 _2; float2 _3; } __mat4x2;
float2 __get_col_of_mat4x2(__mat4x2 mat, uint idx) {
    switch(idx) {
    case 0: { return mat._0; }
    case 1: { return mat._1; }
    case 2: { return mat._2; }
    case 3: { return mat._3; }
    default: { return (float2)0; }
    }
}
void __set_col_of_mat4x2(__mat4x2 mat, uint idx, float2 value) {
    switch(idx) {
    case 0: { mat._0 = value; break; }
    case 1: { mat._1 = value; break; }
    case 2: { mat._2 = value; break; }
    case 3: { mat._3 = value; break; }
    }
}
void __set_el_of_mat4x2(__mat4x2 mat, uint idx, uint vec_idx, float value) {
    switch(idx) {
    case 0: { mat._0[vec_idx] = value; break; }
    case 1: { mat._1[vec_idx] = value; break; }
    case 2: { mat._2[vec_idx] = value; break; }
    case 3: { mat._3[vec_idx] = value; break; }
    }
}

struct Foo {
    float3 v3_;
    float v1_;
};

groupshared float wg[10];
groupshared uint at_1;
RWByteAddressBuffer alignment : register(u1);
ByteAddressBuffer dummy : register(t2);
cbuffer float_vecs : register(b3) { float4 float_vecs[20]; }
cbuffer global_vec : register(b4) { float3 global_vec; }
cbuffer global_mat : register(b5) { __mat3x2 global_mat; }
cbuffer global_nested_arrays_of_matrices_2x4_ : register(b6) { row_major float2x4 global_nested_arrays_of_matrices_2x4_[2][2]; }
cbuffer global_nested_arrays_of_matrices_4x2_ : register(b7) { __mat4x2 global_nested_arrays_of_matrices_4x2_[2][2]; }

void test_msl_packed_vec3_as_arg(float3 arg)
{
    return;
}

Foo ConstructFoo(float3 arg0, float arg1) {
    Foo ret = (Foo)0;
    ret.v3_ = arg0;
    ret.v1_ = arg1;
    return ret;
}

void test_msl_packed_vec3_()
{
    int idx = 1;

    alignment.Store3(0, asuint((1.0).xxx));
    alignment.Store(0+0, asuint(1.0));
    alignment.Store(0+0, asuint(2.0));
    int _expr23 = idx;
    alignment.Store(_expr23*4+0, asuint(3.0));
    Foo data = ConstructFoo(asfloat(alignment.Load3(0)), asfloat(alignment.Load(12)));
    float3 unnamed = data.v3_;
    float2 unnamed_1 = data.v3_.zx;
    test_msl_packed_vec3_as_arg(data.v3_);
    float3 unnamed_2 = mul(float3x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)), data.v3_);
    float3 unnamed_3 = mul(data.v3_, float3x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)));
    float3 unnamed_4 = (data.v3_ * 2.0);
    float3 unnamed_5 = (2.0 * data.v3_);
}

uint NagaBufferLength(ByteAddressBuffer buffer)
{
    uint ret;
    buffer.GetDimensions(ret);
    return ret;
}

[numthreads(1, 1, 1)]
void main()
{
    float Foo_1 = 1.0;
    bool at = true;

    test_msl_packed_vec3_();
    float4x2 _expr16 = ((float4x2)global_nested_arrays_of_matrices_4x2_[0][0]);
    float4 _expr23 = global_nested_arrays_of_matrices_2x4_[0][0][0];
    wg[7] = mul(_expr23, _expr16).x;
    float3x2 _expr28 = ((float3x2)global_mat);
    float3 _expr29 = global_vec;
    wg[6] = mul(_expr29, _expr28).x;
    float _expr37 = asfloat(dummy.Load(4+8));
    wg[5] = _expr37;
    float _expr43 = float_vecs[0].w;
    wg[4] = _expr43;
    float _expr47 = asfloat(alignment.Load(12));
    wg[3] = _expr47;
    float _expr52 = asfloat(alignment.Load(0+0));
    wg[2] = _expr52;
    alignment.Store(12, asuint(4.0));
    wg[1] = float(((NagaBufferLength(dummy) - 0) / 8));
    at_1 = 2u;
    return;
}


================================================
FILE: lib/naga/tests/out/hlsl/globals.hlsl.config
================================================
vertex=()
fragment=()
compute=(main:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/image.hlsl
================================================

Texture2D<uint4> image_mipmapped_src : register(t0);
Texture2DMS<uint4> image_multisampled_src : register(t3);
Texture2DMS<float> image_depth_multisampled_src : register(t4);
RWTexture2D<uint4> image_storage_src : register(u1);
Texture2DArray<uint4> image_array_src : register(t5);
RWTexture1D<uint4> image_dup_src : register(u6);
Texture1D<uint4> image_1d_src : register(t7);
RWTexture1D<uint4> image_dst : register(u2);
Texture1D<float4> image_1d : register(t0);
Texture2D<float4> image_2d : register(t1);
Texture2DArray<float4> image_2d_array : register(t2);
TextureCube<float4> image_cube : register(t3);
TextureCubeArray<float4> image_cube_array : register(t4);
Texture3D<float4> image_3d : register(t5);
Texture2DMS<float4> image_aa : register(t6);
SamplerState sampler_reg : register(s0, space1);
SamplerComparisonState sampler_cmp : register(s1, space1);
Texture2D<float> image_2d_depth : register(t2, space1);
TextureCube<float> image_cube_depth : register(t3, space1);

int2 NagaRWDimensions2D(RWTexture2D<uint4> tex)
{
    uint4 ret;
    tex.GetDimensions(ret.x, ret.y);
    return ret.xy;
}

[numthreads(16, 1, 1)]
void main(uint3 local_id : SV_GroupThreadID)
{
    int2 dim = NagaRWDimensions2D(image_storage_src);
    int2 itc = ((dim * int2(local_id.xy)) % int2(10, 20));
    uint4 value1_ = image_mipmapped_src.Load(int3(itc, int(local_id.z)));
    uint4 value2_ = image_multisampled_src.Load(itc, int(local_id.z));
    uint4 value4_ = image_storage_src.Load(itc);
    uint4 value5_ = image_array_src.Load(int4(itc, int(local_id.z), (int(local_id.z) + 1)));
    uint4 value6_ = image_1d_src.Load(int2(int(local_id.x), int(local_id.z)));
    image_dst[itc.x] = ((((value1_ + value2_) + value4_) + value5_) + value6_);
    return;
}

[numthreads(16, 1, 1)]
void depth_load(uint3 local_id_1 : SV_GroupThreadID)
{
    int2 dim_1 = NagaRWDimensions2D(image_storage_src);
    int2 itc_1 = ((dim_1 * int2(local_id_1.xy)) % int2(10, 20));
    float val = image_depth_multisampled_src.Load(itc_1, int(local_id_1.z)).x;
    image_dst[itc_1.x] = (uint(val)).xxxx;
    return;
}

int NagaDimensions1D(Texture1D<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y);
    return ret.x;
}

int NagaMipDimensions1D(Texture1D<float4> tex, uint mip_level)
{
    uint4 ret;
    tex.GetDimensions(mip_level, ret.x, ret.y);
    return ret.x;
}

int2 NagaDimensions2D(Texture2D<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z);
    return ret.xy;
}

int2 NagaMipDimensions2D(Texture2D<float4> tex, uint mip_level)
{
    uint4 ret;
    tex.GetDimensions(mip_level, ret.x, ret.y, ret.z);
    return ret.xy;
}

int2 NagaDimensions2DArray(Texture2DArray<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z, ret.w);
    return ret.xy;
}

int2 NagaMipDimensions2DArray(Texture2DArray<float4> tex, uint mip_level)
{
    uint4 ret;
    tex.GetDimensions(mip_level, ret.x, ret.y, ret.z, ret.w);
    return ret.xy;
}

int2 NagaDimensionsCube(TextureCube<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z);
    return ret.xy;
}

int2 NagaMipDimensionsCube(TextureCube<float4> tex, uint mip_level)
{
    uint4 ret;
    tex.GetDimensions(mip_level, ret.x, ret.y, ret.z);
    return ret.xy;
}

int2 NagaDimensionsCubeArray(TextureCubeArray<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z, ret.w);
    return ret.xy;
}

int2 NagaMipDimensionsCubeArray(TextureCubeArray<float4> tex, uint mip_level)
{
    uint4 ret;
    tex.GetDimensions(mip_level, ret.x, ret.y, ret.z, ret.w);
    return ret.xy;
}

int3 NagaDimensions3D(Texture3D<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z, ret.w);
    return ret.xyz;
}

int3 NagaMipDimensions3D(Texture3D<float4> tex, uint mip_level)
{
    uint4 ret;
    tex.GetDimensions(mip_level, ret.x, ret.y, ret.z, ret.w);
    return ret.xyz;
}

int2 NagaMSDimensions2D(Texture2DMS<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(ret.x, ret.y, ret.z);
    return ret.xy;
}

float4 queries() : SV_Position
{
    int dim_1d = NagaDimensions1D(image_1d);
    int dim_1d_lod = NagaMipDimensions1D(image_1d, int(dim_1d));
    int2 dim_2d = NagaDimensions2D(image_2d);
    int2 dim_2d_lod = NagaMipDimensions2D(image_2d, 1);
    int2 dim_2d_array = NagaDimensions2DArray(image_2d_array);
    int2 dim_2d_array_lod = NagaMipDimensions2DArray(image_2d_array, 1);
    int2 dim_cube = NagaDimensionsCube(image_cube);
    int2 dim_cube_lod = NagaMipDimensionsCube(image_cube, 1);
    int2 dim_cube_array = NagaDimensionsCubeArray(image_cube_array);
    int2 dim_cube_array_lod = NagaMipDimensionsCubeArray(image_cube_array, 1);
    int3 dim_3d = NagaDimensions3D(image_3d);
    int3 dim_3d_lod = NagaMipDimensions3D(image_3d, 1);
    int2 dim_2s_ms = NagaMSDimensions2D(image_aa);
    int sum = ((((((((((dim_1d + dim_2d.y) + dim_2d_lod.y) + dim_2d_array.y) + dim_2d_array_lod.y) + dim_cube.y) + dim_cube_lod.y) + dim_cube_array.y) + dim_cube_array_lod.y) + dim_3d.z) + dim_3d_lod.z);
    return (float(sum)).xxxx;
}

int NagaNumLevels2D(Texture2D<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z);
    return ret.z;
}

int NagaNumLevels2DArray(Texture2DArray<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z, ret.w);
    return ret.w;
}

int NagaNumLayers2DArray(Texture2DArray<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z, ret.w);
    return ret.w;
}

int NagaNumLevelsCube(TextureCube<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z);
    return ret.z;
}

int NagaNumLevelsCubeArray(TextureCubeArray<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z, ret.w);
    return ret.w;
}

int NagaNumLayersCubeArray(TextureCubeArray<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z, ret.w);
    return ret.w;
}

int NagaNumLevels3D(Texture3D<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(0, ret.x, ret.y, ret.z, ret.w);
    return ret.w;
}

int NagaMSNumSamples2D(Texture2DMS<float4> tex)
{
    uint4 ret;
    tex.GetDimensions(ret.x, ret.y, ret.z);
    return ret.z;
}

float4 levels_queries() : SV_Position
{
    int num_levels_2d = NagaNumLevels2D(image_2d);
    int num_levels_2d_array = NagaNumLevels2DArray(image_2d_array);
    int num_layers_2d = NagaNumLayers2DArray(image_2d_array);
    int num_levels_cube = NagaNumLevelsCube(image_cube);
    int num_levels_cube_array = NagaNumLevelsCubeArray(image_cube_array);
    int num_layers_cube = NagaNumLayersCubeArray(image_cube_array);
    int num_levels_3d = NagaNumLevels3D(image_3d);
    int num_samples_aa = NagaMSNumSamples2D(image_aa);
    int sum_1 = (((((((num_layers_2d + num_layers_cube) + num_samples_aa) + num_levels_2d) + num_levels_2d_array) + num_levels_3d) + num_levels_cube) + num_levels_cube_array);
    return (float(sum_1)).xxxx;
}

float4 texture_sample() : SV_Target0
{
    float2 tc = (0.5).xx;
    float4 s1d = image_1d.Sample(sampler_reg, tc.x);
    float4 s2d = image_2d.Sample(sampler_reg, tc);
    float4 s2d_offset = image_2d.Sample(sampler_reg, tc, int2(3, 1));
    float4 s2d_level = image_2d.SampleLevel(sampler_reg, tc, 2.299999952316284);
    float4 s2d_level_offset = image_2d.SampleLevel(sampler_reg, tc, 2.299999952316284, int2(3, 1));
    float4 s2d_bias_offset = image_2d.SampleBias(sampler_reg, tc, 2.0, int2(3, 1));
    return ((((s1d + s2d) + s2d_offset) + s2d_level) + s2d_level_offset);
}

float texture_sample_comparison() : SV_Target0
{
    float2 tc_1 = (0.5).xx;
    float s2d_depth = image_2d_depth.SampleCmp(sampler_cmp, tc_1, 0.5);
    float s2d_depth_level = image_2d_depth.SampleCmpLevelZero(sampler_cmp, tc_1, 0.5);
    float scube_depth_level = image_cube_depth.SampleCmpLevelZero(sampler_cmp, (0.5).xxx, 0.5);
    return (s2d_depth + s2d_depth_level);
}

float4 gather() : SV_Target0
{
    float2 tc_2 = (0.5).xx;
    float4 s2d_1 = image_2d.GatherGreen(sampler_reg, tc_2);
    float4 s2d_offset_1 = image_2d.GatherAlpha(sampler_reg, tc_2, int2(3, 1));
    float4 s2d_depth_1 = image_2d_depth.GatherCmp(sampler_cmp, tc_2, 0.5);
    float4 s2d_depth_offset = image_2d_depth.GatherCmp(sampler_cmp, tc_2, 0.5, int2(3, 1));
    return (((s2d_1 + s2d_offset_1) + s2d_depth_1) + s2d_depth_offset);
}

float4 depth_no_comparison() : SV_Target0
{
    float2 tc_3 = (0.5).xx;
    float s2d_2 = image_2d_depth.Sample(sampler_reg, tc_3);
    float4 s2d_gather = image_2d_depth.Gather(sampler_reg, tc_3);
    return ((s2d_2).xxxx + s2d_gather);
}


================================================
FILE: lib/naga/tests/out/hlsl/image.hlsl.config
================================================
vertex=(queries:vs_5_1 levels_queries:vs_5_1 )
fragment=(texture_sample:ps_5_1 texture_sample_comparison:ps_5_1 gather:ps_5_1 depth_no_comparison:ps_5_1 )
compute=(main:cs_5_1 depth_load:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/interface.hlsl
================================================
struct NagaConstants {
    int base_vertex;
    int base_instance;
    uint other;
};
ConstantBuffer<NagaConstants> _NagaConstants: register(b0, space1);

struct VertexOutput {
    precise float4 position : SV_Position;
    float _varying : LOC1;
};

struct FragmentOutput {
    float depth : SV_Depth;
    uint sample_mask : SV_Coverage;
    float color : SV_Target0;
};

struct Input1_ {
    uint index : SV_VertexID;
};

struct Input2_ {
    uint index : SV_InstanceID;
};

groupshared uint output[1];

struct VertexOutput_vertex {
    float _varying : LOC1;
    precise float4 position : SV_Position;
};

struct FragmentInput_fragment {
    float _varying_1 : LOC1;
    precise float4 position_1 : SV_Position;
    bool front_facing_1 : SV_IsFrontFace;
    uint sample_index_1 : SV_SampleIndex;
    uint sample_mask_1 : SV_Coverage;
};

VertexOutput ConstructVertexOutput(float4 arg0, float arg1) {
    VertexOutput ret = (VertexOutput)0;
    ret.position = arg0;
    ret._varying = arg1;
    return ret;
}

VertexOutput_vertex vertex(uint vertex_index : SV_VertexID, uint instance_index : SV_InstanceID, uint color : LOC10)
{
    uint tmp = (((_NagaConstants.base_vertex + vertex_index) + (_NagaConstants.base_instance + instance_index)) + color);
    const VertexOutput vertexoutput = ConstructVertexOutput((1.0).xxxx, float(tmp));
    const VertexOutput_vertex vertexoutput_1 = { vertexoutput._varying, vertexoutput.position };
    return vertexoutput_1;
}

FragmentOutput ConstructFragmentOutput(float arg0, uint arg1, float arg2) {
    FragmentOutput ret = (FragmentOutput)0;
    ret.depth = arg0;
    ret.sample_mask = arg1;
    ret.color = arg2;
    return ret;
}

FragmentOutput fragment(FragmentInput_fragment fragmentinput_fragment)
{
    VertexOutput in_ = { fragmentinput_fragment.position_1, fragmentinput_fragment._varying_1 };
    bool front_facing = fragmentinput_fragment.front_facing_1;
    uint sample_index = fragmentinput_fragment.sample_index_1;
    uint sample_mask = fragmentinput_fragment.sample_mask_1;
    uint mask = (sample_mask & (1u << sample_index));
    float color_1 = (front_facing ? 1.0 : 0.0);
    const FragmentOutput fragmentoutput = ConstructFragmentOutput(in_._varying, mask, color_1);
    return fragmentoutput;
}

[numthreads(1, 1, 1)]
void compute(uint3 global_id : SV_DispatchThreadID, uint3 local_id : SV_GroupThreadID, uint local_index : SV_GroupIndex, uint3 wg_id : SV_GroupID, uint3 num_wgs : SV_GroupID)
{
    output[0] = ((((global_id.x + local_id.x) + local_index) + wg_id.x) + uint3(_NagaConstants.base_vertex, _NagaConstants.base_instance, _NagaConstants.other).x);
    return;
}

precise float4 vertex_two_structs(Input1_ in1_, Input2_ in2_) : SV_Position
{
    uint index = 2u;

    uint _expr9 = index;
    return float4(float((_NagaConstants.base_vertex + in1_.index)), float((_NagaConstants.base_instance + in2_.index)), float(_expr9), 0.0);
}


================================================
FILE: lib/naga/tests/out/hlsl/interface.hlsl.config
================================================
vertex=(vertex:vs_5_1 vertex_two_structs:vs_5_1 )
fragment=(fragment:ps_5_1 )
compute=(compute:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/interpolate.hlsl
================================================

struct FragmentInput {
    float4 position : SV_Position;
    nointerpolation uint _flat : LOC0;
    noperspective float _linear : LOC1;
    noperspective centroid float2 linear_centroid : LOC2;
    noperspective sample float3 linear_sample : LOC3;
    float4 perspective : LOC4;
    centroid float perspective_centroid : LOC5;
    sample float perspective_sample : LOC6;
};

struct VertexOutput_vert_main {
    nointerpolation uint _flat : LOC0;
    noperspective float _linear : LOC1;
    noperspective centroid float2 linear_centroid : LOC2;
    noperspective sample float3 linear_sample : LOC3;
    float4 perspective : LOC4;
    centroid float perspective_centroid : LOC5;
    sample float perspective_sample : LOC6;
    float4 position : SV_Position;
};

struct FragmentInput_frag_main {
    nointerpolation uint _flat_1 : LOC0;
    noperspective float _linear_1 : LOC1;
    noperspective centroid float2 linear_centroid_1 : LOC2;
    noperspective sample float3 linear_sample_1 : LOC3;
    float4 perspective_1 : LOC4;
    centroid float perspective_centroid_1 : LOC5;
    sample float perspective_sample_1 : LOC6;
    float4 position_1 : SV_Position;
};

VertexOutput_vert_main vert_main()
{
    FragmentInput out_ = (FragmentInput)0;

    out_.position = float4(2.0, 4.0, 5.0, 6.0);
    out_._flat = 8u;
    out_._linear = 27.0;
    out_.linear_centroid = float2(64.0, 125.0);
    out_.linear_sample = float3(216.0, 343.0, 512.0);
    out_.perspective = float4(729.0, 1000.0, 1331.0, 1728.0);
    out_.perspective_centroid = 2197.0;
    out_.perspective_sample = 2744.0;
    FragmentInput _expr30 = out_;
    const FragmentInput fragmentinput = _expr30;
    const VertexOutput_vert_main fragmentinput_1 = { fragmentinput._flat, fragmentinput._linear, fragmentinput.linear_centroid, fragmentinput.linear_sample, fragmentinput.perspective, fragmentinput.perspective_centroid, fragmentinput.perspective_sample, fragmentinput.position };
    return fragmentinput_1;
}

void frag_main(FragmentInput_frag_main fragmentinput_frag_main)
{
    FragmentInput val = { fragmentinput_frag_main.position_1, fragmentinput_frag_main._flat_1, fragmentinput_frag_main._linear_1, fragmentinput_frag_main.linear_centroid_1, fragmentinput_frag_main.linear_sample_1, fragmentinput_frag_main.perspective_1, fragmentinput_frag_main.perspective_centroid_1, fragmentinput_frag_main.perspective_sample_1 };
    return;
}


================================================
FILE: lib/naga/tests/out/hlsl/interpolate.hlsl.config
================================================
vertex=(vert_main:vs_5_1 )
fragment=(frag_main:ps_5_1 )
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/inv-hyperbolic-trig-functions.hlsl
================================================

static float a = (float)0;

void main_1()
{
    float b = (float)0;
    float c = (float)0;
    float d = (float)0;

    float _expr8 = a;
    b = log(_expr8 + sqrt(_expr8 * _expr8 + 1.0));
    float _expr10 = a;
    c = log(_expr10 + sqrt(_expr10 * _expr10 - 1.0));
    float _expr12 = a;
    d = 0.5 * log((1.0 + _expr12) / (1.0 - _expr12));
    return;
}

void main()
{
    main_1();
}


================================================
FILE: lib/naga/tests/out/hlsl/inv-hyperbolic-trig-functions.hlsl.config
================================================
vertex=(main:vs_5_1 )
fragment=()
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/math-functions.hlsl
================================================

void main()
{
    float4 v = (0.0).xxxx;
    float a = degrees(1.0);
    float b = radians(1.0);
    float4 c = degrees(v);
    float4 d = radians(v);
    float4 e = saturate(v);
    int const_dot = dot(int2(0, 0), int2(0, 0));
    uint first_leading_bit_abs = firstbithigh(abs(0u));
}


================================================
FILE: lib/naga/tests/out/hlsl/math-functions.hlsl.config
================================================
vertex=(main:vs_5_1 )
fragment=()
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/operators.hlsl
================================================
static const float4 v_f32_one = float4(1.0, 1.0, 1.0, 1.0);
static const float4 v_f32_zero = float4(0.0, 0.0, 0.0, 0.0);
static const float4 v_f32_half = float4(0.5, 0.5, 0.5, 0.5);
static const int4 v_i32_one = int4(1, 1, 1, 1);

struct Foo {
    float4 a;
    int b;
    int _end_pad_0;
    int _end_pad_1;
    int _end_pad_2;
};

Foo ConstructFoo(float4 arg0, int arg1) {
    Foo ret = (Foo)0;
    ret.a = arg0;
    ret.b = arg1;
    return ret;
}

typedef Foo ret_Constructarray3_Foo_[3];
ret_Constructarray3_Foo_ Constructarray3_Foo_(Foo arg0, Foo arg1, Foo arg2) {
    Foo ret[3] = { arg0, arg1, arg2 };
    return ret;
}

float4 builtins()
{
    int s1_ = (true ? 1 : 0);
    float4 s2_ = (true ? float4(1.0, 1.0, 1.0, 1.0) : float4(0.0, 0.0, 0.0, 0.0));
    float4 s3_ = (bool4(false, false, false, false) ? float4(0.0, 0.0, 0.0, 0.0) : float4(1.0, 1.0, 1.0, 1.0));
    float4 m1_ = lerp(float4(0.0, 0.0, 0.0, 0.0), float4(1.0, 1.0, 1.0, 1.0), float4(0.5, 0.5, 0.5, 0.5));
    float4 m2_ = lerp(float4(0.0, 0.0, 0.0, 0.0), float4(1.0, 1.0, 1.0, 1.0), 0.10000000149011612);
    float b1_ = float(int4(1, 1, 1, 1).x);
    float4 b2_ = float4(int4(1, 1, 1, 1));
    int4 v_i32_zero = int4(float4(0.0, 0.0, 0.0, 0.0));
    return (((((float4(((s1_).xxxx + v_i32_zero)) + s2_) + m1_) + m2_) + (b1_).xxxx) + b2_);
}

float4 splat()
{
    float2 a_2 = ((((1.0).xx + (2.0).xx) - (3.0).xx) / (4.0).xx);
    int4 b = ((5).xxxx % (2).xxxx);
    return (a_2.xyxy + float4(b));
}

float2 splat_assignment()
{
    float2 a = (float2)0;

    a = (2.0).xx;
    float2 _expr7 = a;
    a = (_expr7 + (1.0).xx);
    float2 _expr11 = a;
    a = (_expr11 - (3.0).xx);
    float2 _expr15 = a;
    a = (_expr15 / (4.0).xx);
    float2 _expr19 = a;
    return _expr19;
}

float3 bool_cast(float3 x)
{
    bool3 y = bool3(x);
    return float3(y);
}

typedef int ret_Constructarray4_int_[4];
ret_Constructarray4_int_ Constructarray4_int_(int arg0, int arg1, int arg2, int arg3) {
    int ret[4] = { arg0, arg1, arg2, arg3 };
    return ret;
}

float constructors()
{
    Foo foo = (Foo)0;

    foo = ConstructFoo((1.0).xxxx, 1);
    float2x2 mat2comp = float2x2(float2(1.0, 0.0), float2(0.0, 1.0));
    float4x4 mat4comp = float4x4(float4(1.0, 0.0, 0.0, 0.0), float4(0.0, 1.0, 0.0, 0.0), float4(0.0, 0.0, 1.0, 0.0), float4(0.0, 0.0, 0.0, 1.0));
    uint2 unnamed = (0u).xx;
    float2x2 unnamed_1 = float2x2((0.0).xx, (0.0).xx);
    int unnamed_2[4] = Constructarray4_int_(0, 1, 2, 3);
    bool unnamed_3 = bool(false);
    int unnamed_4 = int(0);
    uint unnamed_5 = uint(0u);
    float unnamed_6 = float(0.0);
    uint2 unnamed_7 = uint2(uint2(0u, 0u));
    float2x3 unnamed_8 = float2x3(float2x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)));
    uint2 unnamed_9 = uint2(uint2(0u, 0u));
    float2x3 unnamed_10 = float2x3(float2x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)));
    float _expr75 = foo.a.x;
    return _expr75;
}

void logical()
{
    bool unnamed_11 = !true;
    bool2 unnamed_12 = !(true).xx;
    bool unnamed_13 = (true || false);
    bool unnamed_14 = (true && false);
    bool unnamed_15 = (true | false);
    bool3 unnamed_16 = ((true).xxx | (false).xxx);
    bool unnamed_17 = (true & false);
    bool4 unnamed_18 = ((true).xxxx & (false).xxxx);
}

void arithmetic()
{
    int2 unnamed_19 = -(1).xx;
    float2 unnamed_20 = -(1.0).xx;
    int unnamed_21 = (2 + 1);
    uint unnamed_22 = (2u + 1u);
    float unnamed_23 = (2.0 + 1.0);
    int2 unnamed_24 = ((2).xx + (1).xx);
    uint3 unnamed_25 = ((2u).xxx + (1u).xxx);
    float4 unnamed_26 = ((2.0).xxxx + (1.0).xxxx);
    int unnamed_27 = (2 - 1);
    uint unnamed_28 = (2u - 1u);
    float unnamed_29 = (2.0 - 1.0);
    int2 unnamed_30 = ((2).xx - (1).xx);
    uint3 unnamed_31 = ((2u).xxx - (1u).xxx);
    float4 unnamed_32 = ((2.0).xxxx - (1.0).xxxx);
    int unnamed_33 = (2 * 1);
    uint unnamed_34 = (2u * 1u);
    float unnamed_35 = (2.0 * 1.0);
    int2 unnamed_36 = ((2).xx * (1).xx);
    uint3 unnamed_37 = ((2u).xxx * (1u).xxx);
    float4 unnamed_38 = ((2.0).xxxx * (1.0).xxxx);
    int unnamed_39 = (2 / 1);
    uint unnamed_40 = (2u / 1u);
    float unnamed_41 = (2.0 / 1.0);
    int2 unnamed_42 = ((2).xx / (1).xx);
    uint3 unnamed_43 = ((2u).xxx / (1u).xxx);
    float4 unnamed_44 = ((2.0).xxxx / (1.0).xxxx);
    int unnamed_45 = (2 % 1);
    uint unnamed_46 = (2u % 1u);
    float unnamed_47 = fmod(2.0, 1.0);
    int2 unnamed_48 = ((2).xx % (1).xx);
    uint3 unnamed_49 = ((2u).xxx % (1u).xxx);
    float4 unnamed_50 = fmod((2.0).xxxx, (1.0).xxxx);
    int2 unnamed_51 = ((2).xx + (1).xx);
    int2 unnamed_52 = ((2).xx + (1).xx);
    uint2 unnamed_53 = ((2u).xx + (1u).xx);
    uint2 unnamed_54 = ((2u).xx + (1u).xx);
    float2 unnamed_55 = ((2.0).xx + (1.0).xx);
    float2 unnamed_56 = ((2.0).xx + (1.0).xx);
    int2 unnamed_57 = ((2).xx - (1).xx);
    int2 unnamed_58 = ((2).xx - (1).xx);
    uint2 unnamed_59 = ((2u).xx - (1u).xx);
    uint2 unnamed_60 = ((2u).xx - (1u).xx);
    float2 unnamed_61 = ((2.0).xx - (1.0).xx);
    float2 unnamed_62 = ((2.0).xx - (1.0).xx);
    int2 unnamed_63 = ((2).xx * 1);
    int2 unnamed_64 = (2 * (1).xx);
    uint2 unnamed_65 = ((2u).xx * 1u);
    uint2 unnamed_66 = (2u * (1u).xx);
    float2 unnamed_67 = ((2.0).xx * 1.0);
    float2 unnamed_68 = (2.0 * (1.0).xx);
    int2 unnamed_69 = ((2).xx / (1).xx);
    int2 unnamed_70 = ((2).xx / (1).xx);
    uint2 unnamed_71 = ((2u).xx / (1u).xx);
    uint2 unnamed_72 = ((2u).xx / (1u).xx);
    float2 unnamed_73 = ((2.0).xx / (1.0).xx);
    float2 unnamed_74 = ((2.0).xx / (1.0).xx);
    int2 unnamed_75 = ((2).xx % (1).xx);
    int2 unnamed_76 = ((2).xx % (1).xx);
    uint2 unnamed_77 = ((2u).xx % (1u).xx);
    uint2 unnamed_78 = ((2u).xx % (1u).xx);
    float2 unnamed_79 = fmod((2.0).xx, (1.0).xx);
    float2 unnamed_80 = fmod((2.0).xx, (1.0).xx);
    float3x3 unnamed_81 = (float3x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)) + float3x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)));
    float3x3 unnamed_82 = (float3x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)) - float3x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)));
    float3x3 unnamed_83 = mul(1.0, float3x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)));
    float3x3 unnamed_84 = mul(float3x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)), 2.0);
    float3 unnamed_85 = mul((1.0).xxxx, float4x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)));
    float4 unnamed_86 = mul(float4x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)), (2.0).xxx);
    float3x3 unnamed_87 = mul(float3x4(float4(0.0, 0.0, 0.0, 0.0), float4(0.0, 0.0, 0.0, 0.0), float4(0.0, 0.0, 0.0, 0.0)), float4x3(float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0), float3(0.0, 0.0, 0.0)));
}

void bit()
{
    int unnamed_88 = ~1;
    uint unnamed_89 = ~1u;
    int2 unnamed_90 = ~(1).xx;
    uint3 unnamed_91 = ~(1u).xxx;
    int unnamed_92 = (2 | 1);
    uint unnamed_93 = (2u | 1u);
    int2 unnamed_94 = ((2).xx | (1).xx);
    uint3 unnamed_95 = ((2u).xxx | (1u).xxx);
    int unnamed_96 = (2 & 1);
    uint unnamed_97 = (2u & 1u);
    int2 unnamed_98 = ((2).xx & (1).xx);
    uint3 unnamed_99 = ((2u).xxx & (1u).xxx);
    int unnamed_100 = (2 ^ 1);
    uint unnamed_101 = (2u ^ 1u);
    int2 unnamed_102 = ((2).xx ^ (1).xx);
    uint3 unnamed_103 = ((2u).xxx ^ (1u).xxx);
    int unnamed_104 = (2 << 1u);
    uint unnamed_105 = (2u << 1u);
    int2 unnamed_106 = ((2).xx << (1u).xx);
    uint3 unnamed_107 = ((2u).xxx << (1u).xxx);
    int unnamed_108 = (2 >> 1u);
    uint unnamed_109 = (2u >> 1u);
    int2 unnamed_110 = ((2).xx >> (1u).xx);
    uint3 unnamed_111 = ((2u).xxx >> (1u).xxx);
}

void comparison()
{
    bool unnamed_112 = (2 == 1);
    bool unnamed_113 = (2u == 1u);
    bool unnamed_114 = (2.0 == 1.0);
    bool2 unnamed_115 = ((2).xx == (1).xx);
    bool3 unnamed_116 = ((2u).xxx == (1u).xxx);
    bool4 unnamed_117 = ((2.0).xxxx == (1.0).xxxx);
    bool unnamed_118 = (2 != 1);
    bool unnamed_119 = (2u != 1u);
    bool unnamed_120 = (2.0 != 1.0);
    bool2 unnamed_121 = ((2).xx != (1).xx);
    bool3 unnamed_122 = ((2u).xxx != (1u).xxx);
    bool4 unnamed_123 = ((2.0).xxxx != (1.0).xxxx);
    bool unnamed_124 = (2 < 1);
    bool unnamed_125 = (2u < 1u);
    bool unnamed_126 = (2.0 < 1.0);
    bool2 unnamed_127 = ((2).xx < (1).xx);
    bool3 unnamed_128 = ((2u).xxx < (1u).xxx);
    bool4 unnamed_129 = ((2.0).xxxx < (1.0).xxxx);
    bool unnamed_130 = (2 <= 1);
    bool unnamed_131 = (2u <= 1u);
    bool unnamed_132 = (2.0 <= 1.0);
    bool2 unnamed_133 = ((2).xx <= (1).xx);
    bool3 unnamed_134 = ((2u).xxx <= (1u).xxx);
    bool4 unnamed_135 = ((2.0).xxxx <= (1.0).xxxx);
    bool unnamed_136 = (2 > 1);
    bool unnamed_137 = (2u > 1u);
    bool unnamed_138 = (2.0 > 1.0);
    bool2 unnamed_139 = ((2).xx > (1).xx);
    bool3 unnamed_140 = ((2u).xxx > (1u).xxx);
    bool4 unnamed_141 = ((2.0).xxxx > (1.0).xxxx);
    bool unnamed_142 = (2 >= 1);
    bool unnamed_143 = (2u >= 1u);
    bool unnamed_144 = (2.0 >= 1.0);
    bool2 unnamed_145 = ((2).xx >= (1).xx);
    bool3 unnamed_146 = ((2u).xxx >= (1u).xxx);
    bool4 unnamed_147 = ((2.0).xxxx >= (1.0).xxxx);
}

void assignment()
{
    int a_1 = 1;
    int3 vec0_ = int3(0, 0, 0);

    int _expr6 = a_1;
    a_1 = (_expr6 + 1);
    int _expr9 = a_1;
    a_1 = (_expr9 - 1);
    int _expr12 = a_1;
    int _expr13 = a_1;
    a_1 = (_expr12 * _expr13);
    int _expr15 = a_1;
    int _expr16 = a_1;
    a_1 = (_expr15 / _expr16);
    int _expr18 = a_1;
    a_1 = (_expr18 % 1);
    int _expr21 = a_1;
    a_1 = (_expr21 & 0);
    int _expr24 = a_1;
    a_1 = (_expr24 | 0);
    int _expr27 = a_1;
    a_1 = (_expr27 ^ 0);
    int _expr30 = a_1;
    a_1 = (_expr30 << 2u);
    int _expr33 = a_1;
    a_1 = (_expr33 >> 1u);
    int _expr36 = a_1;
    a_1 = (_expr36 + 1);
    int _expr39 = a_1;
    a_1 = (_expr39 - 1);
    int _expr46 = vec0_.y;
    vec0_.y = (_expr46 + 1);
    int _expr51 = vec0_.y;
    vec0_.y = (_expr51 - 1);
    return;
}

[numthreads(1, 1, 1)]
void main()
{
    const float4 _e4 = builtins();
    const float4 _e5 = splat();
    const float3 _e7 = bool_cast(float4(1.0, 1.0, 1.0, 1.0).xyz);
    const float _e8 = constructors();
    logical();
    arithmetic();
    bit();
    comparison();
    assignment();
    return;
}


================================================
FILE: lib/naga/tests/out/hlsl/operators.hlsl.config
================================================
vertex=()
fragment=()
compute=(main:cs_5_1 )


================================================
FILE: lib/naga/tests/out/hlsl/padding.hlsl
================================================

struct S {
    float3 a;
    int _end_pad_0;
};

struct Test {
    S a;
    float b;
    int _end_pad_0;
    int _end_pad_1;
    int _end_pad_2;
};

struct Test2_ {
    float3 a[2];
    int _pad1_0;
    float b;
    int _end_pad_0;
    int _end_pad_1;
    int _end_pad_2;
};

struct Test3_ {
    row_major float4x3 a;
    int _pad1_0;
    float b;
    int _end_pad_0;
    int _end_pad_1;
    int _end_pad_2;
};

cbuffer input1_ : register(b0) { Test input1_; }
cbuffer input2_ : register(b1) { Test2_ input2_; }
cbuffer input3_ : register(b2) { Test3_ input3_; }

float4 vertex() : SV_Position
{
    float _expr6 = input1_.b;
    float _expr9 = input2_.b;
    float _expr12 = input3_.b;
    return ((((1.0).xxxx * _expr6) * _expr9) * _expr12);
}


================================================
FILE: lib/naga/tests/out/hlsl/padding.hlsl.config
================================================
vertex=(vertex:vs_5_1 )
fragment=()
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/push-constants.hlsl
================================================
struct NagaConstants {
    int base_vertex;
    int base_instance;
    uint other;
};
ConstantBuffer<NagaConstants> _NagaConstants: register(b0, space1);

struct PushConstants {
    float multiplier;
};

struct FragmentIn {
    float4 color : LOC0;
};

ConstantBuffer<PushConstants> pc: register(b0);

struct FragmentInput_main {
    float4 color : LOC0;
};

float4 vert_main(float2 pos : LOC0, uint vi : SV_VertexID) : SV_Position
{
    float _expr5 = pc.multiplier;
    return float4(((float((_NagaConstants.base_vertex + vi)) * _expr5) * pos), 0.0, 1.0);
}

float4 main(FragmentInput_main fragmentinput_main) : SV_Target0
{
    FragmentIn in_ = { fragmentinput_main.color };
    float _expr4 = pc.multiplier;
    return (in_.color * _expr4);
}


================================================
FILE: lib/naga/tests/out/hlsl/push-constants.hlsl.config
================================================
vertex=(vert_main:vs_5_1 )
fragment=(main:ps_5_1 )
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/quad-vert.hlsl
================================================

struct gl_PerVertex {
    float4 gl_Position : SV_Position;
    float gl_PointSize : PSIZE;
    float gl_ClipDistance[1] : SV_ClipDistance;
    float gl_CullDistance[1] : SV_CullDistance;
};

struct type_9 {
    float2 member : LOC0;
    float4 gl_Position : SV_Position;
};

typedef float ret_Constructarray1_float_[1];
ret_Constructarray1_float_ Constructarray1_float_(float arg0) {
    float ret[1] = { arg0 };
    return ret;
}

gl_PerVertex Constructgl_PerVertex(float4 arg0, float arg1, float arg2[1], float arg3[1]) {
    gl_PerVertex ret = (gl_PerVertex)0;
    ret.gl_Position = arg0;
    ret.gl_PointSize = arg1;
    ret.gl_ClipDistance = arg2;
    ret.gl_CullDistance = arg3;
    return ret;
}

static float2 v_uv = (float2)0;
static float2 a_uv_1 = (float2)0;
static gl_PerVertex perVertexStruct = Constructgl_PerVertex(float4(0.0, 0.0, 0.0, 1.0), 1.0, Constructarray1_float_(0.0), Constructarray1_float_(0.0));
static float2 a_pos_1 = (float2)0;

struct VertexOutput_main {
    float2 member : LOC0;
    float4 gl_Position : SV_Position;
};

void main_1()
{
    float2 _expr12 = a_uv_1;
    v_uv = _expr12;
    float2 _expr13 = a_pos_1;
    perVertexStruct.gl_Position = float4(_expr13.x, _expr13.y, 0.0, 1.0);
    return;
}

type_9 Constructtype_9(float2 arg0, float4 arg1) {
    type_9 ret = (type_9)0;
    ret.member = arg0;
    ret.gl_Position = arg1;
    return ret;
}

VertexOutput_main main(float2 a_uv : LOC1, float2 a_pos : LOC0)
{
    a_uv_1 = a_uv;
    a_pos_1 = a_pos;
    main_1();
    float2 _expr7 = v_uv;
    float4 _expr8 = perVertexStruct.gl_Position;
    const type_9 type_9_ = Constructtype_9(_expr7, _expr8);
    const VertexOutput_main type_9_1 = { type_9_.member, type_9_.gl_Position };
    return type_9_1;
}


================================================
FILE: lib/naga/tests/out/hlsl/quad-vert.hlsl.config
================================================
vertex=(main:vs_5_1 )
fragment=()
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/quad.hlsl
================================================
static const float c_scale = 1.2000000476837158;

struct VertexOutput {
    float2 uv : LOC0;
    float4 position : SV_Position;
};

Texture2D<float4> u_texture : register(t0);
SamplerState u_sampler : register(s1);

struct VertexOutput_vert_main {
    float2 uv_2 : LOC0;
    float4 position : SV_Position;
};

struct FragmentInput_frag_main {
    float2 uv_3 : LOC0;
};

VertexOutput ConstructVertexOutput(float2 arg0, float4 arg1) {
    VertexOutput ret = (VertexOutput)0;
    ret.uv = arg0;
    ret.position = arg1;
    return ret;
}

VertexOutput_vert_main vert_main(float2 pos : LOC0, float2 uv : LOC1)
{
    const VertexOutput vertexoutput = ConstructVertexOutput(uv, float4((c_scale * pos), 0.0, 1.0));
    const VertexOutput_vert_main vertexoutput_1 = { vertexoutput.uv, vertexoutput.position };
    return vertexoutput_1;
}

float4 frag_main(FragmentInput_frag_main fragmentinput_frag_main) : SV_Target0
{
    float2 uv_1 = fragmentinput_frag_main.uv_3;
    float4 color = u_texture.Sample(u_sampler, uv_1);
    if ((color.w == 0.0)) {
        discard;
    }
    float4 premultiplied = (color.w * color);
    return premultiplied;
}

float4 fs_extra() : SV_Target0
{
    return float4(0.0, 0.5, 0.0, 0.5);
}


================================================
FILE: lib/naga/tests/out/hlsl/quad.hlsl.config
================================================
vertex=(vert_main:vs_5_1 )
fragment=(frag_main:ps_5_1 fs_extra:ps_5_1 )
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/shadow.hlsl
================================================
static const float3 c_ambient = float3(0.05000000074505806, 0.05000000074505806, 0.05000000074505806);
static const uint c_max_lights = 10;

struct Globals {
    row_major float4x4 view_proj;
    uint4 num_lights;
};

struct Entity {
    row_major float4x4 world;
    float4 color;
};

struct VertexOutput {
    float4 proj_position : SV_Position;
    float3 world_normal : LOC0;
    float4 world_position : LOC1;
};

struct Light {
    row_major float4x4 proj;
    float4 pos;
    float4 color;
};

cbuffer u_globals : register(b0) { Globals u_globals; }
cbuffer u_entity : register(b0, space1) { Entity u_entity; }
ByteAddressBuffer s_lights : register(t1);
cbuffer u_lights : register(b1) { Light u_lights[10]; }
Texture2DArray<float> t_shadow : register(t2);
SamplerComparisonState sampler_shadow : register(s3);

struct VertexOutput_vs_main {
    float3 world_normal : LOC0;
    float4 world_position : LOC1;
    float4 proj_position : SV_Position;
};

struct FragmentInput_fs_main {
    float3 world_normal_1 : LOC0;
    float4 world_position_1 : LOC1;
    float4 proj_position_1 : SV_Position;
};

struct FragmentInput_fs_main_without_storage {
    float3 world_normal_2 : LOC0;
    float4 world_position_2 : LOC1;
    float4 proj_position_2 : SV_Position;
};

float fetch_shadow(uint light_id, float4 homogeneous_coords)
{
    if ((homogeneous_coords.w <= 0.0)) {
        return 1.0;
    }
    float2 flip_correction = float2(0.5, -0.5);
    float proj_correction = (1.0 / homogeneous_coords.w);
    float2 light_local = (((homogeneous_coords.xy * flip_correction) * proj_correction) + float2(0.5, 0.5));
    float _expr28 = t_shadow.SampleCmpLevelZero(sampler_shadow, float3(light_local, int(light_id)), (homogeneous_coords.z * proj_correction));
    return _expr28;
}

VertexOutput_vs_main vs_main(int4 position : LOC0, int4 normal : LOC1)
{
    VertexOutput out_ = (VertexOutput)0;

    float4x4 w = u_entity.world;
    float4x4 _expr7 = u_entity.world;
    float4 world_pos = mul(float4(position), _expr7);
    out_.world_normal = mul(float3(normal.xyz), float3x3(w[0].xyz, w[1].xyz, w[2].xyz));
    out_.world_position = world_pos;
    float4x4 _expr25 = u_globals.view_proj;
    out_.proj_position = mul(world_pos, _expr25);
    VertexOutput _expr27 = out_;
    const VertexOutput vertexoutput = _expr27;
    const VertexOutput_vs_main vertexoutput_1 = { vertexoutput.world_normal, vertexoutput.world_position, vertexoutput.proj_position };
    return vertexoutput_1;
}

Light ConstructLight(float4x4 arg0, float4 arg1, float4 arg2) {
    Light ret = (Light)0;
    ret.proj = arg0;
    ret.pos = arg1;
    ret.color = arg2;
    return ret;
}

float4 fs_main(FragmentInput_fs_main fragmentinput_fs_main) : SV_Target0
{
    VertexOutput in_ = { fragmentinput_fs_main.proj_position_1, fragmentinput_fs_main.world_normal_1, fragmentinput_fs_main.world_position_1 };
    float3 color = float3(0.05000000074505806, 0.05000000074505806, 0.05000000074505806);
    uint i = 0u;

    float3 normal_1 = normalize(in_.world_normal);
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            uint _expr20 = i;
            i = (_expr20 + 1u);
        }
        loop_init = false;
        uint _expr14 = i;
        uint _expr17 = u_globals.num_lights.x;
        if ((_expr14 < min(_expr17, c_max_lights))) {
        } else {
            break;
        }
        uint _expr23 = i;
        Light light = ConstructLight(float4x4(asfloat(s_lights.Load4(_expr23*96+0+0)), asfloat(s_lights.Load4(_expr23*96+0+16)), asfloat(s_lights.Load4(_expr23*96+0+32)), asfloat(s_lights.Load4(_expr23*96+0+48))), asfloat(s_lights.Load4(_expr23*96+64)), asfloat(s_lights.Load4(_expr23*96+80)));
        uint _expr26 = i;
        const float _e30 = fetch_shadow(_expr26, mul(in_.world_position, light.proj));
        float3 light_dir = normalize((light.pos.xyz - in_.world_position.xyz));
        float diffuse = max(0.0, dot(normal_1, light_dir));
        float3 _expr40 = color;
        color = (_expr40 + ((_e30 * diffuse) * light.color.xyz));
    }
    float3 _expr46 = color;
    float4 _expr50 = u_entity.color;
    return (float4(_expr46, 1.0) * _expr50);
}

float4 fs_main_without_storage(FragmentInput_fs_main_without_storage fragmentinput_fs_main_without_storage) : SV_Target0
{
    VertexOutput in_1 = { fragmentinput_fs_main_without_storage.proj_position_2, fragmentinput_fs_main_without_storage.world_normal_2, fragmentinput_fs_main_without_storage.world_position_2 };
    float3 color_1 = float3(0.05000000074505806, 0.05000000074505806, 0.05000000074505806);
    uint i_1 = 0u;

    float3 normal_2 = normalize(in_1.world_normal);
    bool loop_init_1 = true;
    while(true) {
        if (!loop_init_1) {
            uint _expr20 = i_1;
            i_1 = (_expr20 + 1u);
        }
        loop_init_1 = false;
        uint _expr14 = i_1;
        uint _expr17 = u_globals.num_lights.x;
        if ((_expr14 < min(_expr17, c_max_lights))) {
        } else {
            break;
        }
        uint _expr23 = i_1;
        Light light_1 = u_lights[_expr23];
        uint _expr26 = i_1;
        const float _e30 = fetch_shadow(_expr26, mul(in_1.world_position, light_1.proj));
        float3 light_dir_1 = normalize((light_1.pos.xyz - in_1.world_position.xyz));
        float diffuse_1 = max(0.0, dot(normal_2, light_dir_1));
        float3 _expr40 = color_1;
        color_1 = (_expr40 + ((_e30 * diffuse_1) * light_1.color.xyz));
    }
    float3 _expr46 = color_1;
    float4 _expr50 = u_entity.color;
    return (float4(_expr46, 1.0) * _expr50);
}


================================================
FILE: lib/naga/tests/out/hlsl/shadow.hlsl.config
================================================
vertex=(vs_main:vs_5_1 )
fragment=(fs_main:ps_5_1 fs_main_without_storage:ps_5_1 )
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/skybox.hlsl
================================================
struct NagaConstants {
    int base_vertex;
    int base_instance;
    uint other;
};
ConstantBuffer<NagaConstants> _NagaConstants: register(b1);

struct VertexOutput {
    float4 position : SV_Position;
    float3 uv : LOC0;
};

struct Data {
    row_major float4x4 proj_inv;
    row_major float4x4 view;
};

cbuffer r_data : register(b0) { Data r_data; }
TextureCube<float4> r_texture : register(t0);
SamplerState r_sampler : register(s0, space1);

struct VertexOutput_vs_main {
    float3 uv : LOC0;
    float4 position : SV_Position;
};

struct FragmentInput_fs_main {
    float3 uv_1 : LOC0;
    float4 position_1 : SV_Position;
};

VertexOutput ConstructVertexOutput(float4 arg0, float3 arg1) {
    VertexOutput ret = (VertexOutput)0;
    ret.position = arg0;
    ret.uv = arg1;
    return ret;
}

VertexOutput_vs_main vs_main(uint vertex_index : SV_VertexID)
{
    int tmp1_ = (int)0;
    int tmp2_ = (int)0;

    tmp1_ = (int((_NagaConstants.base_vertex + vertex_index)) / 2);
    tmp2_ = (int((_NagaConstants.base_vertex + vertex_index)) & 1);
    int _expr10 = tmp1_;
    int _expr16 = tmp2_;
    float4 pos = float4(((float(_expr10) * 4.0) - 1.0), ((float(_expr16) * 4.0) - 1.0), 0.0, 1.0);
    float4 _expr27 = r_data.view[0];
    float4 _expr31 = r_data.view[1];
    float4 _expr35 = r_data.view[2];
    float3x3 inv_model_view = transpose(float3x3(_expr27.xyz, _expr31.xyz, _expr35.xyz));
    float4x4 _expr40 = r_data.proj_inv;
    float4 unprojected = mul(pos, _expr40);
    const VertexOutput vertexoutput = ConstructVertexOutput(pos, mul(unprojected.xyz, inv_model_view));
    const VertexOutput_vs_main vertexoutput_1 = { vertexoutput.uv, vertexoutput.position };
    return vertexoutput_1;
}

float4 fs_main(FragmentInput_fs_main fragmentinput_fs_main) : SV_Target0
{
    VertexOutput in_ = { fragmentinput_fs_main.position_1, fragmentinput_fs_main.uv_1 };
    float4 _expr5 = r_texture.Sample(r_sampler, in_.uv);
    return _expr5;
}


================================================
FILE: lib/naga/tests/out/hlsl/skybox.hlsl.config
================================================
vertex=(vs_main:vs_5_1 )
fragment=(fs_main:ps_5_1 )
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/standard.hlsl
================================================

struct FragmentInput_derivatives {
    float4 foo_1 : SV_Position;
};

float4 derivatives(FragmentInput_derivatives fragmentinput_derivatives) : SV_Target0
{
    float4 foo = fragmentinput_derivatives.foo_1;
    float4 x = ddx(foo);
    float4 y = ddy(foo);
    float4 z = fwidth(foo);
    return ((x + y) * z);
}


================================================
FILE: lib/naga/tests/out/hlsl/standard.hlsl.config
================================================
vertex=()
fragment=(derivatives:ps_5_1 )
compute=()


================================================
FILE: lib/naga/tests/out/hlsl/texture-arg.hlsl
================================================

Texture2D<float4> Texture : register(t0);
SamplerState Sampler : register(s1);

float4 test(Texture2D<float4> Passed_Texture, SamplerState Passed_Sampler)
{
    float4 _expr7 = Passed_Texture.Sample(Passed_Sampler, float2(0.0, 0.0));
    return _expr7;
}

float4 main() : SV_Target0
{
    const float4 _e2 = test(Texture, Sampler);
    return _e2;
}


================================================
FILE: lib/naga/tests/out/hlsl/texture-arg.hlsl.config
================================================
vertex=()
fragment=(main:ps_5_1 )
compute=()


================================================
FILE: lib/naga/tests/out/ir/collatz.ron
================================================
(
    types: [
        (
            name: None,
            inner: Scalar(
                kind: Uint,
                width: 4,
            ),
        ),
        (
            name: None,
            inner: Array(
                base: 1,
                size: Dynamic,
                stride: 4,
            ),
        ),
        (
            name: Some("PrimeIndices"),
            inner: Struct(
                members: [
                    (
                        name: Some("data"),
                        ty: 2,
                        binding: None,
                        offset: 0,
                    ),
                ],
                span: 4,
            ),
        ),
        (
            name: None,
            inner: Vector(
                size: Tri,
                kind: Uint,
                width: 4,
            ),
        ),
    ],
    constants: [
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Uint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Uint(1),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Uint(2),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Uint(3),
            ),
        ),
    ],
    global_variables: [
        (
            name: Some("v_indices"),
            space: Storage(
                access: (
                    bits: 3,
                ),
            ),
            binding: Some((
                group: 0,
                binding: 0,
            )),
            ty: 3,
            init: None,
        ),
    ],
    functions: [
        (
            name: Some("collatz_iterations"),
            arguments: [
                (
                    name: Some("n_base"),
                    ty: 1,
                    binding: None,
                ),
            ],
            result: Some((
                ty: 1,
                binding: None,
            )),
            local_variables: [
                (
                    name: Some("n"),
                    ty: 1,
                    init: None,
                ),
                (
                    name: Some("i"),
                    ty: 1,
                    init: Some(1),
                ),
            ],
            expressions: [
                GlobalVariable(1),
                FunctionArgument(0),
                LocalVariable(1),
                Constant(1),
                LocalVariable(2),
                Load(
                    pointer: 3,
                ),
                Constant(2),
                Binary(
                    op: Greater,
                    left: 6,
                    right: 7,
                ),
                Load(
                    pointer: 3,
                ),
                Constant(3),
                Binary(
                    op: Modulo,
                    left: 9,
                    right: 10,
                ),
                Constant(1),
                Binary(
                    op: Equal,
                    left: 11,
                    right: 12,
                ),
                Load(
                    pointer: 3,
                ),
                Constant(3),
                Binary(
                    op: Divide,
                    left: 14,
                    right: 15,
                ),
                Constant(4),
                Load(
                    pointer: 3,
                ),
                Binary(
                    op: Multiply,
                    left: 17,
                    right: 18,
                ),
                Constant(2),
                Binary(
                    op: Add,
                    left: 19,
                    right: 20,
                ),
                Load(
                    pointer: 5,
                ),
                Constant(2),
                Binary(
                    op: Add,
                    left: 22,
                    right: 23,
                ),
                Load(
                    pointer: 5,
                ),
            ],
            named_expressions: {},
            body: [
                Store(
                    pointer: 3,
                    value: 2,
                ),
                Loop(
                    body: [
                        Emit((
                            start: 5,
                            end: 6,
                        )),
                        Emit((
                            start: 7,
                            end: 8,
                        )),
                        If(
                            condition: 8,
                            accept: [],
                            reject: [
                                Break,
                            ],
                        ),
                        Emit((
                            start: 8,
                            end: 9,
                        )),
                        Emit((
                            start: 10,
                            end: 11,
                        )),
                        Emit((
                            start: 12,
                            end: 13,
                        )),
                        If(
                            condition: 13,
                            accept: [
                                Emit((
                                    start: 13,
                                    end: 14,
                                )),
                                Emit((
                                    start: 15,
                                    end: 16,
                                )),
                                Store(
                                    pointer: 3,
                                    value: 16,
                                ),
                            ],
                            reject: [
                                Emit((
                                    start: 17,
                                    end: 19,
                                )),
                                Emit((
                                    start: 20,
                                    end: 21,
                                )),
                                Store(
                                    pointer: 3,
                                    value: 21,
                                ),
                            ],
                        ),
                        Emit((
                            start: 21,
                            end: 22,
                        )),
                        Emit((
                            start: 23,
                            end: 24,
                        )),
                        Store(
                            pointer: 5,
                            value: 24,
                        ),
                    ],
                    continuing: [],
                    break_if: None,
                ),
                Emit((
                    start: 24,
                    end: 25,
                )),
                Return(
                    value: Some(25),
                ),
            ],
        ),
    ],
    entry_points: [
        (
            name: "main",
            stage: Compute,
            early_depth_test: None,
            workgroup_size: (1, 1, 1),
            function: (
                name: Some("main"),
                arguments: [
                    (
                        name: Some("global_id"),
                        ty: 4,
                        binding: Some(BuiltIn(GlobalInvocationId)),
                    ),
                ],
                result: None,
                local_variables: [],
                expressions: [
                    GlobalVariable(1),
                    FunctionArgument(0),
                    AccessIndex(
                        base: 1,
                        index: 0,
                    ),
                    AccessIndex(
                        base: 2,
                        index: 0,
                    ),
                    Access(
                        base: 3,
                        index: 4,
                    ),
                    AccessIndex(
                        base: 1,
                        index: 0,
                    ),
                    AccessIndex(
                        base: 2,
                        index: 0,
                    ),
                    Access(
                        base: 6,
                        index: 7,
                    ),
                    Load(
                        pointer: 8,
                    ),
                    CallResult(1),
                ],
                named_expressions: {},
                body: [
                    Emit((
                        start: 2,
                        end: 9,
                    )),
                    Call(
                        function: 1,
                        arguments: [
                            9,
                        ],
                        result: Some(10),
                    ),
                    Store(
                        pointer: 5,
                        value: 10,
                    ),
                    Return(
                        value: None,
                    ),
                ],
            ),
        ),
    ],
)

================================================
FILE: lib/naga/tests/out/ir/shadow.ron
================================================
(
    types: [
        (
            name: None,
            inner: Scalar(
                kind: Float,
                width: 4,
            ),
        ),
        (
            name: None,
            inner: Vector(
                size: Tri,
                kind: Float,
                width: 4,
            ),
        ),
        (
            name: None,
            inner: Scalar(
                kind: Uint,
                width: 4,
            ),
        ),
        (
            name: None,
            inner: Vector(
                size: Quad,
                kind: Float,
                width: 4,
            ),
        ),
        (
            name: None,
            inner: Scalar(
                kind: Bool,
                width: 1,
            ),
        ),
        (
            name: None,
            inner: Vector(
                size: Bi,
                kind: Float,
                width: 4,
            ),
        ),
        (
            name: None,
            inner: Image(
                dim: D2,
                arrayed: true,
                class: Sampled(
                    kind: Float,
                    multi: false,
                ),
            ),
        ),
        (
            name: None,
            inner: Sampler(
                comparison: false,
            ),
        ),
        (
            name: None,
            inner: Scalar(
                kind: Sint,
                width: 4,
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 2,
                space: Function,
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 3,
                space: Function,
            ),
        ),
        (
            name: None,
            inner: Vector(
                size: Quad,
                kind: Uint,
                width: 4,
            ),
        ),
        (
            name: Some("Globals"),
            inner: Struct(
                members: [
                    (
                        name: Some("num_lights"),
                        ty: 12,
                        binding: None,
                        offset: 0,
                    ),
                ],
                span: 16,
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 13,
                space: Uniform,
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 12,
                space: Uniform,
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 3,
                space: Uniform,
            ),
        ),
        (
            name: None,
            inner: Matrix(
                columns: Quad,
                rows: Quad,
                width: 4,
            ),
        ),
        (
            name: Some("Light"),
            inner: Struct(
                members: [
                    (
                        name: Some("proj"),
                        ty: 17,
                        binding: None,
                        offset: 0,
                    ),
                    (
                        name: Some("pos"),
                        ty: 4,
                        binding: None,
                        offset: 64,
                    ),
                    (
                        name: Some("color"),
                        ty: 4,
                        binding: None,
                        offset: 80,
                    ),
                ],
                span: 96,
            ),
        ),
        (
            name: None,
            inner: Array(
                base: 18,
                size: Dynamic,
                stride: 96,
            ),
        ),
        (
            name: Some("Lights"),
            inner: Struct(
                members: [
                    (
                        name: Some("data"),
                        ty: 19,
                        binding: None,
                        offset: 0,
                    ),
                ],
                span: 96,
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 20,
                space: Storage(
                    access: (
                        bits: 0,
                    ),
                ),
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 19,
                space: Storage(
                    access: (
                        bits: 3,
                    ),
                ),
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 18,
                space: Storage(
                    access: (
                        bits: 3,
                    ),
                ),
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 17,
                space: Storage(
                    access: (
                        bits: 3,
                    ),
                ),
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 4,
                space: Private,
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 2,
                space: Private,
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 4,
                space: Storage(
                    access: (
                        bits: 3,
                    ),
                ),
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 1,
                space: Storage(
                    access: (
                        bits: 3,
                    ),
                ),
            ),
        ),
        (
            name: None,
            inner: Pointer(
                base: 1,
                space: Private,
            ),
        ),
        (
            name: None,
            inner: Image(
                dim: D2,
                arrayed: true,
                class: Depth(
                    multi: false,
                ),
            ),
        ),
        (
            name: None,
            inner: Sampler(
                comparison: true,
            ),
        ),
    ],
    constants: [
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(1),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(2),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(3),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Float(0.0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Float(1.0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Float(0.5),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Float(-0.5),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Float(0.05000000074505806),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Composite(
                ty: 2,
                components: [
                    9,
                    9,
                    9,
                ],
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Uint(10),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Uint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Uint(1),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Float(0.0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(1),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(1),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(1),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(1),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(2),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(1),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(2),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(2),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(2),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(1),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(0),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(2),
            ),
        ),
        (
            name: None,
            specialization: None,
            inner: Scalar(
                width: 4,
                value: Sint(2),
            ),
        ),
    ],
    global_variables: [
        (
            name: Some("t_shadow"),
            space: Handle,
            binding: Some((
                group: 0,
                binding: 2,
            )),
            ty: 30,
            init: None,
        ),
        (
            name: Some("sampler_shadow"),
            space: Handle,
            binding: Some((
                group: 0,
                binding: 3,
            )),
            ty: 31,
            init: None,
        ),
        (
            name: Some("u_globals"),
            space: Uniform,
            binding: Some((
                group: 0,
                binding: 0,
            )),
            ty: 13,
            init: None,
        ),
        (
            name: Some("s_lights"),
            space: Storage(
                access: (
                    bits: 1,
                ),
            ),
            binding: Some((
                group: 0,
                binding: 1,
            )),
            ty: 20,
            init: None,
        ),
        (
            name: Some("in_position_fs"),
            space: Private,
            binding: None,
            ty: 4,
            init: None,
        ),
        (
            name: Some("in_normal_fs"),
            space: Private,
            binding: None,
            ty: 2,
            init: None,
        ),
        (
            name: Some("out_color_fs"),
            space: Private,
            binding: None,
            ty: 4,
            init: None,
        ),
    ],
    functions: [
        (
            name: None,
            arguments: [
                (
                    name: None,
                    ty: 3,
                    binding: None,
                ),
                (
                    name: None,
                    ty: 4,
                    binding: None,
                ),
            ],
            result: Some((
                ty: 1,
                binding: None,
            )),
            local_variables: [],
            expressions: [
                GlobalVariable(3),
                GlobalVariable(6),
                GlobalVariable(5),
                GlobalVariable(1),
                GlobalVariable(2),
                GlobalVariable(4),
                GlobalVariable(7),
                Constant(1),
                Constant(2),
                Constant(3),
                Constant(4),
                Constant(20),
                Constant(7),
                Constant(33),
                Constant(31),
                Constant(29),
                Constant(27),
                Constant(25),
                Constant(15),
                Constant(12),
                Constant(23),
                Constant(8),
                Constant(36),
                Constant(34),
                Constant(14),
                Constant(32),
                Constant(30),
                Constant(17),
                Constant(26),
                Constant(39),
                Constant(13),
                Constant(11),
                Constant(9),
                Constant(6),
                Constant(21),
                Constant(35),
                Constant(19),
                Constant(37),
                Constant(18),
                Constant(28),
                Constant(16),
                Constant(24),
                Constant(38),
                Constant(22),
                Constant(10),
                Constant(5),
                FunctionArgument(0),
                FunctionArgument(1),
                AccessIndex(
                    base: 48,
                    index: 3,
                ),
                Binary(
                    op: LessEqual,
                    left: 49,
                    right: 46,
                ),
                AccessIndex(
                    base: 48,
                    index: 0,
                ),
                AccessIndex(
                    base: 48,
                    index: 1,
                ),
                Compose(
                    ty: 6,
                    components: [
                        51,
                        52,
                    ],
                ),
                Compose(
                    ty: 6,
                    components: [
                        13,
                        22,
                    ],
                ),
                Binary(
                    op: Multiply,
                    left: 53,
                    right: 54,
                ),
                AccessIndex(
                    base: 48,
                    index: 3,
                ),
                Binary(
                    op: Divide,
                    left: 34,
                    right: 56,
                ),
                Binary(
                    op: Multiply,
                    left: 55,
                    right: 57,
                ),
                Splat(
                    size: Bi,
                    value: 13,
                ),
                Binary(
                    op: Add,
                    left: 58,
                    right: 59,
                ),
                AccessIndex(
                    base: 60,
                    index: 0,
                ),
                AccessIndex(
                    base: 60,
                    index: 1,
                ),
                As(
                    expr: 47,
                    kind: Sint,
                    convert: None,
                ),
                As(
                    expr: 63,
                    kind: Float,
                    convert: Some(4),
                ),
                Compose(
                    ty: 2,
                    components: [
                        61,
                        62,
                        64,
                    ],
                ),
                AccessIndex(
                    base: 48,
                    index: 2,
                ),
                AccessIndex(
                    base: 48,
                    index: 3,
                ),
                Binary(
                    op: Divide,
                    left: 34,
                    right: 67,
                ),
                Binary(
                    op: Multiply,
                    left: 66,
                    right: 68,
                ),
                AccessIndex(
                    base: 65,
                    index: 0,
                ),
                AccessIndex(
                    base: 65,
                    index: 1,
                ),
                Compose(
                    ty: 6,
                    components: [
                        70,
                        71,
                    ],
                ),
                AccessIndex(
                    base: 65,
                    index: 2,
                ),
                As(
                    expr: 73,
                    kind: Sint,
                    convert: Some(4),
                ),
                ImageSample(
                    image: 4,
                    sampler: 5,
                    gather: None,
                    coordinate: 72,
                    array_index: Some(74),
                    offset: None,
                    level: Zero,
                    depth_ref: Some(69),
                ),
            ],
            named_expressions: {},
            body: [
                Emit((
                    start: 48,
                    end: 50,
                )),
                If(
                    condition: 50,
                    accept: [
                        Return(
                            value: Some(34),
                        ),
                    ],
                    reject: [],
                ),
                Emit((
                    start: 50,
                    end: 75,
                )),
                Return(
                    value: Some(75),
                ),
            ],
        ),
        (
            name: Some("fs_main"),
            arguments: [],
            result: None,
            local_variables: [
                (
                    name: Some("color"),
                    ty: 2,
                    init: Some(10),
                ),
                (
                    name: Some("i"),
                    ty: 3,
                    init: Some(12),
                ),
            ],
            expressions: [
                GlobalVariable(3),
                GlobalVariable(6),
                GlobalVariable(5),
                GlobalVariable(1),
                GlobalVariable(2),
                GlobalVariable(4),
                GlobalVariable(7),
                Constant(1),
                Constant(2),
                Constant(3),
                Constant(4),
                Constant(20),
                Constant(7),
                Constant(33),
                Constant(31),
                Constant(29),
                Constant(27),
                Constant(25),
                Constant(15),
                Constant(12),
                Constant(23),
                Constant(8),
                Constant(36),
                Constant(34),
                Constant(14),
                Constant(32),
                Constant(30),
                Constant(17),
                Constant(26),
                Constant(39),
                Constant(13),
                Constant(11),
                Constant(9),
                Constant(6),
                Constant(21),
                Constant(35),
                Constant(19),
                Constant(37),
                Constant(18),
                Constant(28),
                Constant(16),
                Constant(24),
                Constant(38),
                Constant(22),
                Constant(10),
                Constant(5),
                LocalVariable(1),
                LocalVariable(2),
                Load(
                    pointer: 48,
                ),
                AccessIndex(
                    base: 1,
                    index: 0,
                ),
                Access(
                    base: 50,
                    index: 41,
                ),
                Load(
                    pointer: 51,
                ),
                Math(
                    fun: Min,
                    arg: 52,
                    arg1: Some(32),
                    arg2: None,
                    arg3: None,
                ),
                Binary(
                    op: GreaterEqual,
                    left: 49,
                    right: 53,
                ),
                Load(
                    pointer: 47,
                ),
                Load(
                    pointer: 48,
                ),
                AccessIndex(
                    base: 6,
                    index: 0,
                ),
                Load(
                    pointer: 48,
                ),
                Access(
                    base: 57,
                    index: 58,
                ),
                AccessIndex(
                    base: 59,
                    index: 0,
                ),
                Load(
                    pointer: 60,
                ),
                Load(
                    pointer: 3,
                ),
                Binary(
                    op: Multiply,
                    left: 61,
                    right: 62,
                ),
                CallResult(1),
                Load(
                    pointer: 2,
                ),
                Math(
                    fun: Normalize,
                    arg: 65,
                    arg1: None,
                    arg2: None,
                    arg3: None,
                ),
                AccessIndex(
                    base: 6,
                    index: 0,
                ),
                Load(
                    pointer: 48,
                ),
                Access(
                    base: 67,
                    index: 68,
                ),
                AccessIndex(
                    base: 69,
                    index: 1,
                ),
                Access(
                    base: 70,
                    index: 35,
                ),
                Load(
                    pointer: 71,
                ),
                AccessIndex(
                    base: 6,
                    index: 0,
                ),
                Load(
                    pointer: 48,
                ),
                Access(
                    base: 73,
                    index: 74,
                ),
                AccessIndex(
                    base: 75,
                    index: 1,
                ),
                Access(
                    base: 76,
                    index: 42,
                ),
                Load(
                    pointer: 77,
                ),
                AccessIndex(
                    base: 6,
                    index: 0,
                ),
                Load(
                    pointer: 48,
                ),
                Access(
                    base: 79,
                    index: 80,
                ),
                AccessIndex(
                    base: 81,
                    index: 1,
                ),
                Access(
                    base: 82,
                    index: 17,
                ),
                Load(
                    pointer: 83,
                ),
                Compose(
                    ty: 2,
                    components: [
                        72,
                        78,
                        84,
                    ],
                ),
                Access(
                    base: 3,
                    index: 40,
                ),
                Load(
                    pointer: 86,
                ),
                Access(
                    base: 3,
                    index: 16,
                ),
                Load(
                    pointer: 88,
                ),
                Access(
                    base: 3,
                    index: 27,
                ),
                Load(
                    pointer: 90,
                ),
                Compose(
                    ty: 2,
                    components: [
                        87,
                        89,
                        91,
                    ],
                ),
                Binary(
                    op: Subtract,
                    left: 85,
                    right: 92,
                ),
                Math(
                    fun: Normalize,
                    arg: 93,
                    arg1: None,
                    arg2: None,
                    arg3: None,
                ),
                Math(
                    fun: Dot,
                    arg: 66,
                    arg1: Some(94),
                    arg2: None,
                    arg3: None,
                ),
                Math(
                    fun: Max,
                    arg: 46,
                    arg1: Some(95),
                    arg2: None,
                    arg3: None,
                ),
                Binary(
                    op: Multiply,
                    left: 64,
                    right: 96,
                ),
                AccessIndex(
                    base: 6,
                    index: 0,
                ),
                Load(
                    pointer: 48,
                ),
                Access(
                    base: 98,
                    index: 99,
                ),
                AccessIndex(
                    base: 100,
                    index: 2,
                ),
                Access(
                    base: 101,
                    index: 14,
                ),
                Load(
                    pointer: 102,
                ),
                AccessIndex(
                    base: 6,
                    index: 0,
                ),
                Load(
                    pointer: 48,
                ),
                Access(
                    base: 104,
                    index: 105,
                ),
                AccessIndex(
                    base: 106,
                    index: 2,
                ),
                Access(
                    base: 107,
                    index: 23,
                ),
                Load(
                    pointer: 108,
                ),
                AccessIndex(
                    base: 6,
                    index: 0,
                ),
                Load(
                    pointer: 48,
                ),
                Access(
                    base: 110,
                    index: 111,
                ),
                AccessIndex(
                    base: 112,
                    index: 2,
                ),
                Access(
                    base: 113,
                    index: 30,
                ),
                Load(
                    pointer: 114,
                ),
                Compose(
                    ty: 2,
                    components: [
                        103,
                        109,
                        115,
                    ],
                ),
                Binary(
                    op: Multiply,
                    left: 116,
                    right: 97,
                ),
                Binary(
                    op: Add,
                    left: 55,
                    right: 117,
                ),
                Load(
                    pointer: 48,
                ),
                Binary(
                    op: Add,
                    left: 119,
                    right: 31,
                ),
                Load(
                    pointer: 47,
                ),
                Compose(
                    ty: 4,
                    components: [
                        121,
                        34,
                    ],
                ),
            ],
            named_expressions: {},
            body: [
                Loop(
                    body: [
                        Emit((
                            start: 48,
                            end: 54,
                        )),
                        If(
                            condition: 54,
                            accept: [
                                Break,
                            ],
                            reject: [],
                        ),
                        Emit((
                            start: 54,
                            end: 63,
                        )),
                        Call(
                            function: 1,
                            arguments: [
                                56,
                                63,
                            ],
                            result: Some(64),
                        ),
                        Emit((
                            start: 64,
                            end: 118,
                        )),
                        Store(
                            pointer: 47,
                            value: 118,
                        ),
                        Continue,
                    ],
                    continuing: [
                        Emit((
                            start: 118,
                            end: 120,
                        )),
                        Store(
                            pointer: 48,
                            value: 120,
                        ),
                    ],
                    break_if: None,
                ),
                Emit((
                    start: 120,
                    end: 122,
                )),
                Store(
                    pointer: 7,
                    value: 122,
                ),
                Return(
                    value: None,
                ),
            ],
        ),
    ],
    entry_points: [
        (
            name: "fs_main",
            stage: Fragment,
            early_depth_test: None,
            workgroup_size: (0, 0, 0),
            function: (
                name: Some("fs_main_wrap"),
                arguments: [
                    (
                        name: Some("in_normal_fs"),
                        ty: 2,
                        binding: Some(Location(
                            location: 0,
                            interpolation: Some(Perspective),
                            sampling: Some(Center),
                        )),
                    ),
                    (
                        name: Some("in_position_fs"),
                        ty: 4,
                        binding: Some(Location(
                            location: 1,
                            interpolation: Some(Perspective),
                            sampling: Some(Center),
                        )),
                    ),
                ],
                result: Some((
                    ty: 4,
                    binding: Some(Location(
                        location: 0,
                        interpolation: Some(Perspective),
                        sampling: Some(Center),
                    )),
                )),
                local_variables: [],
                expressions: [
                    FunctionArgument(0),
                    GlobalVariable(6),
                    FunctionArgument(1),
                    GlobalVariable(5),
                    GlobalVariable(7),
                    Load(
                        pointer: 5,
                    ),
                ],
                named_expressions: {},
                body: [
                    Store(
                        pointer: 2,
                        value: 1,
                    ),
                    Store(
                        pointer: 4,
                        value: 3,
                    ),
                    Call(
                        function: 2,
                        arguments: [],
                        result: None,
                    ),
                    Emit((
                        start: 5,
                        end: 6,
                    )),
                    Return(
                        value: Some(6),
                    ),
                ],
            ),
        ),
    ],
)

================================================
FILE: lib/naga/tests/out/msl/access.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct _mslBufferSizes {
    uint size1;
};

struct GlobalConst {
    uint a;
    char _pad1[12];
    metal::packed_uint3 b;
    int c;
};
struct AlignedWrapper {
    int value;
};
struct type_5 {
    metal::float2x2 inner[2];
};
struct type_8 {
    metal::uint2 inner[2];
};
typedef AlignedWrapper type_9[1];
struct Bar {
    metal::float4x3 _matrix;
    type_5 matrix_array;
    metal::atomic_int atom;
    char _pad3[4];
    type_8 arr;
    type_9 data;
};
struct Baz {
    metal::float3x2 m;
};
struct type_13 {
    metal::float4x2 inner[2];
};
struct MatCx2InArray {
    type_13 am;
};
struct type_17 {
    float inner[10];
};
struct type_18 {
    type_17 inner[5];
};
struct type_21 {
    int inner[5];
};
constant metal::uint3 const_type_1_ = {0u, 0u, 0u};
constant GlobalConst const_GlobalConst = {0u, {}, const_type_1_, 0};
constant metal::float2 const_type_14_ = {0.0, 0.0};
constant metal::float4x2 const_type_12_ = {const_type_14_, const_type_14_, const_type_14_, const_type_14_};
constant type_13 const_type_13_ = {const_type_12_, const_type_12_};
constant type_17 const_type_17_ = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
constant type_18 const_type_18_ = {const_type_17_, const_type_17_, const_type_17_, const_type_17_, const_type_17_};
constant metal::int2 const_type_11_ = {0, 0};

void test_matrix_within_struct_accesses(
    constant Baz& baz
) {
    int idx = 1;
    Baz t = {};
    int _e6 = idx;
    idx = _e6 - 1;
    metal::float3x2 unnamed = baz.m;
    metal::float2 unnamed_1 = baz.m[0];
    int _e16 = idx;
    metal::float2 unnamed_2 = baz.m[_e16];
    float unnamed_3 = baz.m[0].y;
    int _e28 = idx;
    float unnamed_4 = baz.m[0][_e28];
    int _e32 = idx;
    float unnamed_5 = baz.m[_e32].y;
    int _e38 = idx;
    int _e40 = idx;
    float unnamed_6 = baz.m[_e38][_e40];
    t = Baz {metal::float3x2(metal::float2(1.0), metal::float2(2.0), metal::float2(3.0))};
    int _e52 = idx;
    idx = _e52 + 1;
    t.m = metal::float3x2(metal::float2(6.0), metal::float2(5.0), metal::float2(4.0));
    t.m[0] = metal::float2(9.0);
    int _e69 = idx;
    t.m[_e69] = metal::float2(90.0);
    t.m[0].y = 10.0;
    int _e82 = idx;
    t.m[0][_e82] = 20.0;
    int _e86 = idx;
    t.m[_e86].y = 30.0;
    int _e92 = idx;
    int _e94 = idx;
    t.m[_e92][_e94] = 40.0;
    return;
}

void test_matrix_within_array_within_struct_accesses(
    constant MatCx2InArray& nested_mat_cx2_
) {
    int idx_1 = 1;
    MatCx2InArray t_1 = {};
    int _e7 = idx_1;
    idx_1 = _e7 - 1;
    type_13 unnamed_7 = nested_mat_cx2_.am;
    metal::float4x2 unnamed_8 = nested_mat_cx2_.am.inner[0];
    metal::float2 unnamed_9 = nested_mat_cx2_.am.inner[0][0];
    int _e25 = idx_1;
    metal::float2 unnamed_10 = nested_mat_cx2_.am.inner[0][_e25];
    float unnamed_11 = nested_mat_cx2_.am.inner[0][0].y;
    int _e41 = idx_1;
    float unnamed_12 = nested_mat_cx2_.am.inner[0][0][_e41];
    int _e47 = idx_1;
    float unnamed_13 = nested_mat_cx2_.am.inner[0][_e47].y;
    int _e55 = idx_1;
    int _e57 = idx_1;
    float unnamed_14 = nested_mat_cx2_.am.inner[0][_e55][_e57];
    t_1 = MatCx2InArray {const_type_13_};
    int _e63 = idx_1;
    idx_1 = _e63 + 1;
    for(int _i=0; _i<2; ++_i) t_1.am.inner[_i] = const_type_13_.inner[_i];
    t_1.am.inner[0] = metal::float4x2(metal::float2(8.0), metal::float2(7.0), metal::float2(6.0), metal::float2(5.0));
    t_1.am.inner[0][0] = metal::float2(9.0);
    int _e90 = idx_1;
    t_1.am.inner[0][_e90] = metal::float2(90.0);
    t_1.am.inner[0][0].y = 10.0;
    int _e107 = idx_1;
    t_1.am.inner[0][0][_e107] = 20.0;
    int _e113 = idx_1;
    t_1.am.inner[0][_e113].y = 30.0;
    int _e121 = idx_1;
    int _e123 = idx_1;
    t_1.am.inner[0][_e121][_e123] = 40.0;
    return;
}

float read_from_private(
    thread float& foo_1
) {
    float _e6 = foo_1;
    return _e6;
}

float test_arr_as_arg(
    type_18 a
) {
    return a.inner[4].inner[9];
}

void assign_through_ptr_fn(
    threadgroup uint& p
) {
    p = 42u;
    return;
}

struct foo_vertInput {
};
struct foo_vertOutput {
    metal::float4 member [[position]];
};
vertex foo_vertOutput foo_vert(
  uint vi [[vertex_id]]
, device Bar const& bar [[buffer(0)]]
, constant Baz& baz [[buffer(1)]]
, device metal::int2 const& qux [[buffer(2)]]
, constant MatCx2InArray& nested_mat_cx2_ [[buffer(3)]]
, constant _mslBufferSizes& _buffer_sizes [[buffer(24)]]
) {
    float foo = 0.0;
    type_21 c = {};
    float baz_1 = foo;
    foo = 1.0;
    test_matrix_within_struct_accesses(baz);
    test_matrix_within_array_within_struct_accesses(nested_mat_cx2_);
    metal::float4x3 _matrix = bar._matrix;
    type_8 arr = bar.arr;
    float b = bar._matrix[3].x;
    int a_1 = bar.data[(1 + (_buffer_sizes.size1 - 120 - 8) / 8) - 2u].value;
    metal::int2 c_1 = qux;
    float _e32 = read_from_private(foo);
    for(int _i=0; _i<5; ++_i) c.inner[_i] = type_21 {a_1, static_cast<int>(b), 3, 4, 5}.inner[_i];
    c.inner[vi + 1u] = 42;
    int value = c.inner[vi];
    float _e46 = test_arr_as_arg(const_type_18_);
    return foo_vertOutput { metal::float4(_matrix * static_cast<metal::float4>(metal::int4(value)), 2.0) };
}


struct foo_fragOutput {
    metal::float4 member_1 [[color(0)]];
};
fragment foo_fragOutput foo_frag(
  device Bar& bar [[buffer(0)]]
, device metal::int2& qux [[buffer(2)]]
, constant _mslBufferSizes& _buffer_sizes [[buffer(24)]]
) {
    bar._matrix[1].z = 1.0;
    bar._matrix = metal::float4x3(metal::float3(0.0), metal::float3(1.0), metal::float3(2.0), metal::float3(3.0));
    for(int _i=0; _i<2; ++_i) bar.arr.inner[_i] = type_8 {metal::uint2(0u), metal::uint2(1u)}.inner[_i];
    bar.data[1].value = 1;
    qux = const_type_11_;
    return foo_fragOutput { metal::float4(0.0) };
}


kernel void atomics(
  device Bar& bar [[buffer(0)]]
, constant _mslBufferSizes& _buffer_sizes [[buffer(24)]]
) {
    int tmp = {};
    int value_1 = metal::atomic_load_explicit(&bar.atom, metal::memory_order_relaxed);
    int _e10 = metal::atomic_fetch_add_explicit(&bar.atom, 5, metal::memory_order_relaxed);
    tmp = _e10;
    int _e13 = metal::atomic_fetch_sub_explicit(&bar.atom, 5, metal::memory_order_relaxed);
    tmp = _e13;
    int _e16 = metal::atomic_fetch_and_explicit(&bar.atom, 5, metal::memory_order_relaxed);
    tmp = _e16;
    int _e19 = metal::atomic_fetch_or_explicit(&bar.atom, 5, metal::memory_order_relaxed);
    tmp = _e19;
    int _e22 = metal::atomic_fetch_xor_explicit(&bar.atom, 5, metal::memory_order_relaxed);
    tmp = _e22;
    int _e25 = metal::atomic_fetch_min_explicit(&bar.atom, 5, metal::memory_order_relaxed);
    tmp = _e25;
    int _e28 = metal::atomic_fetch_max_explicit(&bar.atom, 5, metal::memory_order_relaxed);
    tmp = _e28;
    int _e31 = metal::atomic_exchange_explicit(&bar.atom, 5, metal::memory_order_relaxed);
    tmp = _e31;
    metal::atomic_store_explicit(&bar.atom, value_1, metal::memory_order_relaxed);
    return;
}


kernel void assign_through_ptr(
  threadgroup uint& val
) {
    assign_through_ptr_fn(val);
    return;
}


================================================
FILE: lib/naga/tests/out/msl/binding-arrays.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct DefaultConstructible {
    template<typename T>
    operator T() && {
        return T {};
    }
};
struct UniformIndex {
    uint index;
};
struct FragmentIn {
    uint index;
};

struct main_Input {
    uint index [[user(loc0), flat]];
};
struct main_Output {
    metal::float4 member [[color(0)]];
};
fragment main_Output main_(
  main_Input varyings [[stage_in]]
, metal::array<metal::texture2d<float, metal::access::sample>, 10> texture_array_unbounded [[texture(0)]]
, metal::array<metal::texture2d<float, metal::access::sample>, 5> texture_array_bounded [[user(fake0)]]
, metal::array<metal::texture2d_array<float, metal::access::sample>, 5> texture_array_2darray [[user(fake0)]]
, metal::array<metal::texture2d_ms<float, metal::access::read>, 5> texture_array_multisampled [[user(fake0)]]
, metal::array<metal::depth2d<float, metal::access::sample>, 5> texture_array_depth [[user(fake0)]]
, metal::array<metal::texture2d<float, metal::access::write>, 5> texture_array_storage [[user(fake0)]]
, metal::array<metal::sampler, 5> samp [[user(fake0)]]
, metal::array<metal::sampler, 5> samp_comp [[user(fake0)]]
, constant UniformIndex& uni [[user(fake0)]]
) {
    const FragmentIn fragment_in = { varyings.index };
    int i1_ = 0;
    metal::int2 i2_ = {};
    float v1_ = 0.0;
    metal::float4 v4_ = {};
    uint uniform_index = uni.index;
    uint non_uniform_index = fragment_in.index;
    i2_ = metal::int2(0);
    v4_ = metal::float4(0.0);
    metal::float2 uv = metal::float2(0.0);
    metal::int2 pix = metal::int2(0);
    metal::int2 _e27 = i2_;
    i2_ = _e27 + metal::int2(texture_array_unbounded[0].get_width(), texture_array_unbounded[0].get_height());
    metal::int2 _e32 = i2_;
    i2_ = _e32 + metal::int2(texture_array_unbounded[uniform_index].get_width(), texture_array_unbounded[uniform_index].get_height());
    metal::int2 _e36 = i2_;
    i2_ = _e36 + metal::int2(texture_array_unbounded[non_uniform_index].get_width(), texture_array_unbounded[non_uniform_index].get_height());
    metal::float4 _e40 = v4_;
    metal::float4 _e45 = texture_array_bounded[0].gather(samp[0], uv);
    v4_ = _e40 + _e45;
    metal::float4 _e47 = v4_;
    metal::float4 _e50 = texture_array_bounded[uniform_index].gather(samp[uniform_index], uv);
    v4_ = _e47 + _e50;
    metal::float4 _e52 = v4_;
    metal::float4 _e55 = texture_array_bounded[non_uniform_index].gather(samp[non_uniform_index], uv);
    v4_ = _e52 + _e55;
    metal::float4 _e57 = v4_;
    metal::float4 _e63 = texture_array_depth[0].gather_compare(samp_comp[0], uv, 0.0);
    v4_ = _e57 + _e63;
    metal::float4 _e65 = v4_;
    metal::float4 _e69 = texture_array_depth[uniform_index].gather_compare(samp_comp[uniform_index], uv, 0.0);
    v4_ = _e65 + _e69;
    metal::float4 _e71 = v4_;
    metal::float4 _e75 = texture_array_depth[non_uniform_index].gather_compare(samp_comp[non_uniform_index], uv, 0.0);
    v4_ = _e71 + _e75;
    metal::float4 _e77 = v4_;
    metal::float4 _e81 = (uint(0) < texture_array_unbounded[0].get_num_mip_levels() && metal::all(metal::uint2(pix) < metal::uint2(texture_array_unbounded[0].get_width(0), texture_array_unbounded[0].get_height(0))) ? texture_array_unbounded[0].read(metal::uint2(pix), 0): DefaultConstructible());
    v4_ = _e77 + _e81;
    metal::float4 _e83 = v4_;
    metal::float4 _e86 = (uint(0) < texture_array_unbounded[uniform_index].get_num_mip_levels() && metal::all(metal::uint2(pix) < metal::uint2(texture_array_unbounded[uniform_index].get_width(0), texture_array_unbounded[uniform_index].get_height(0))) ? texture_array_unbounded[uniform_index].read(metal::uint2(pix), 0): DefaultConstructible());
    v4_ = _e83 + _e86;
    metal::float4 _e88 = v4_;
    metal::float4 _e91 = (uint(0) < texture_array_unbounded[non_uniform_index].get_num_mip_levels() && metal::all(metal::uint2(pix) < metal::uint2(texture_array_unbounded[non_uniform_index].get_width(0), texture_array_unbounded[non_uniform_index].get_height(0))) ? texture_array_unbounded[non_uniform_index].read(metal::uint2(pix), 0): DefaultConstructible());
    v4_ = _e88 + _e91;
    int _e93 = i1_;
    i1_ = _e93 + int(texture_array_2darray[0].get_array_size());
    int _e98 = i1_;
    i1_ = _e98 + int(texture_array_2darray[uniform_index].get_array_size());
    int _e102 = i1_;
    i1_ = _e102 + int(texture_array_2darray[non_uniform_index].get_array_size());
    int _e106 = i1_;
    i1_ = _e106 + int(texture_array_bounded[0].get_num_mip_levels());
    int _e111 = i1_;
    i1_ = _e111 + int(texture_array_bounded[uniform_index].get_num_mip_levels());
    int _e115 = i1_;
    i1_ = _e115 + int(texture_array_bounded[non_uniform_index].get_num_mip_levels());
    int _e119 = i1_;
    i1_ = _e119 + int(texture_array_multisampled[0].get_num_samples());
    int _e124 = i1_;
    i1_ = _e124 + int(texture_array_multisampled[uniform_index].get_num_samples());
    int _e128 = i1_;
    i1_ = _e128 + int(texture_array_multisampled[non_uniform_index].get_num_samples());
    metal::float4 _e132 = v4_;
    metal::float4 _e137 = texture_array_bounded[0].sample(samp[0], uv);
    v4_ = _e132 + _e137;
    metal::float4 _e139 = v4_;
    metal::float4 _e142 = texture_array_bounded[uniform_index].sample(samp[uniform_index], uv);
    v4_ = _e139 + _e142;
    metal::float4 _e144 = v4_;
    metal::float4 _e147 = texture_array_bounded[non_uniform_index].sample(samp[non_uniform_index], uv);
    v4_ = _e144 + _e147;
    metal::float4 _e149 = v4_;
    metal::float4 _e155 = texture_array_bounded[0].sample(samp[0], uv, metal::bias(0.0));
    v4_ = _e149 + _e155;
    metal::float4 _e157 = v4_;
    metal::float4 _e161 = texture_array_bounded[uniform_index].sample(samp[uniform_index], uv, metal::bias(0.0));
    v4_ = _e157 + _e161;
    metal::float4 _e163 = v4_;
    metal::float4 _e167 = texture_array_bounded[non_uniform_index].sample(samp[non_uniform_index], uv, metal::bias(0.0));
    v4_ = _e163 + _e167;
    float _e169 = v1_;
    float _e175 = texture_array_depth[0].sample_compare(samp_comp[0], uv, 0.0);
    v1_ = _e169 + _e175;
    float _e177 = v1_;
    float _e181 = texture_array_depth[uniform_index].sample_compare(samp_comp[uniform_index], uv, 0.0);
    v1_ = _e177 + _e181;
    float _e183 = v1_;
    float _e187 = texture_array_depth[non_uniform_index].sample_compare(samp_comp[non_uniform_index], uv, 0.0);
    v1_ = _e183 + _e187;
    float _e189 = v1_;
    float _e195 = texture_array_depth[0].sample_compare(samp_comp[0], uv, 0.0);
    v1_ = _e189 + _e195;
    float _e197 = v1_;
    float _e201 = texture_array_depth[uniform_index].sample_compare(samp_comp[uniform_index], uv, 0.0);
    v1_ = _e197 + _e201;
    float _e203 = v1_;
    float _e207 = texture_array_depth[non_uniform_index].sample_compare(samp_comp[non_uniform_index], uv, 0.0);
    v1_ = _e203 + _e207;
    metal::float4 _e209 = v4_;
    metal::float4 _e214 = texture_array_bounded[0].sample(samp[0], uv, metal::gradient2d(uv, uv));
    v4_ = _e209 + _e214;
    metal::float4 _e216 = v4_;
    metal::float4 _e219 = texture_array_bounded[uniform_index].sample(samp[uniform_index], uv, metal::gradient2d(uv, uv));
    v4_ = _e216 + _e219;
    metal::float4 _e221 = v4_;
    metal::float4 _e224 = texture_array_bounded[non_uniform_index].sample(samp[non_uniform_index], uv, metal::gradient2d(uv, uv));
    v4_ = _e221 + _e224;
    metal::float4 _e226 = v4_;
    metal::float4 _e232 = texture_array_bounded[0].sample(samp[0], uv, metal::level(0.0));
    v4_ = _e226 + _e232;
    metal::float4 _e234 = v4_;
    metal::float4 _e238 = texture_array_bounded[uniform_index].sample(samp[uniform_index], uv, metal::level(0.0));
    v4_ = _e234 + _e238;
    metal::float4 _e240 = v4_;
    metal::float4 _e244 = texture_array_bounded[non_uniform_index].sample(samp[non_uniform_index], uv, metal::level(0.0));
    v4_ = _e240 + _e244;
    metal::float4 _e248 = v4_;
    if (metal::all(metal::uint2(pix) < metal::uint2(texture_array_storage[0].get_width(), texture_array_storage[0].get_height()))) {
        texture_array_storage[0].write(_e248, metal::uint2(pix));
    }
    metal::float4 _e250 = v4_;
    if (metal::all(metal::uint2(pix) < metal::uint2(texture_array_storage[uniform_index].get_width(), texture_array_storage[uniform_index].get_height()))) {
        texture_array_storage[uniform_index].write(_e250, metal::uint2(pix));
    }
    metal::float4 _e252 = v4_;
    if (metal::all(metal::uint2(pix) < metal::uint2(texture_array_storage[non_uniform_index].get_width(), texture_array_storage[non_uniform_index].get_height()))) {
        texture_array_storage[non_uniform_index].write(_e252, metal::uint2(pix));
    }
    metal::int2 _e253 = i2_;
    int _e254 = i1_;
    metal::float2 v2_ = static_cast<metal::float2>(_e253 + metal::int2(_e254));
    metal::float4 _e258 = v4_;
    float _e265 = v1_;
    return main_Output { (_e258 + metal::float4(v2_.x, v2_.y, v2_.x, v2_.y)) + metal::float4(_e265) };
}


================================================
FILE: lib/naga/tests/out/msl/bitcast.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;


kernel void main_(
) {
    metal::int2 i2_ = {};
    metal::int3 i3_ = {};
    metal::int4 i4_ = {};
    metal::uint2 u2_ = {};
    metal::uint3 u3_ = {};
    metal::uint4 u4_ = {};
    metal::float2 f2_ = {};
    metal::float3 f3_ = {};
    metal::float4 f4_ = {};
    i2_ = metal::int2(0);
    i3_ = metal::int3(0);
    i4_ = metal::int4(0);
    u2_ = metal::uint2(0u);
    u3_ = metal::uint3(0u);
    u4_ = metal::uint4(0u);
    f2_ = metal::float2(0.0);
    f3_ = metal::float3(0.0);
    f4_ = metal::float4(0.0);
    metal::int2 _e27 = i2_;
    u2_ = as_type<metal::uint2>(_e27);
    metal::int3 _e29 = i3_;
    u3_ = as_type<metal::uint3>(_e29);
    metal::int4 _e31 = i4_;
    u4_ = as_type<metal::uint4>(_e31);
    metal::uint2 _e33 = u2_;
    i2_ = as_type<metal::int2>(_e33);
    metal::uint3 _e35 = u3_;
    i3_ = as_type<metal::int3>(_e35);
    metal::uint4 _e37 = u4_;
    i4_ = as_type<metal::int4>(_e37);
    metal::int2 _e39 = i2_;
    f2_ = as_type<metal::float2>(_e39);
    metal::int3 _e41 = i3_;
    f3_ = as_type<metal::float3>(_e41);
    metal::int4 _e43 = i4_;
    f4_ = as_type<metal::float4>(_e43);
    return;
}


================================================
FILE: lib/naga/tests/out/msl/bits.msl
================================================
// language: metal1.2
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;


kernel void main_(
) {
    int i = 0;
    metal::int2 i2_ = {};
    metal::int3 i3_ = {};
    metal::int4 i4_ = {};
    uint u = 0u;
    metal::uint2 u2_ = {};
    metal::uint3 u3_ = {};
    metal::uint4 u4_ = {};
    metal::float2 f2_ = {};
    metal::float4 f4_ = {};
    i2_ = metal::int2(0);
    i3_ = metal::int3(0);
    i4_ = metal::int4(0);
    u2_ = metal::uint2(0u);
    u3_ = metal::uint3(0u);
    u4_ = metal::uint4(0u);
    f2_ = metal::float2(0.0);
    f4_ = metal::float4(0.0);
    metal::float4 _e28 = f4_;
    u = metal::pack_float_to_snorm4x8(_e28);
    metal::float4 _e30 = f4_;
    u = metal::pack_float_to_unorm4x8(_e30);
    metal::float2 _e32 = f2_;
    u = metal::pack_float_to_snorm2x16(_e32);
    metal::float2 _e34 = f2_;
    u = metal::pack_float_to_unorm2x16(_e34);
    metal::float2 _e36 = f2_;
    u = as_type<uint>(half2(_e36));
    uint _e38 = u;
    f4_ = metal::unpack_snorm4x8_to_float(_e38);
    uint _e40 = u;
    f4_ = metal::unpack_unorm4x8_to_float(_e40);
    uint _e42 = u;
    f2_ = metal::unpack_snorm2x16_to_float(_e42);
    uint _e44 = u;
    f2_ = metal::unpack_unorm2x16_to_float(_e44);
    uint _e46 = u;
    f2_ = float2(as_type<half2>(_e46));
    int _e48 = i;
    int _e49 = i;
    i = metal::insert_bits(_e48, _e49, 5u, 10u);
    metal::int2 _e53 = i2_;
    metal::int2 _e54 = i2_;
    i2_ = metal::insert_bits(_e53, _e54, 5u, 10u);
    metal::int3 _e58 = i3_;
    metal::int3 _e59 = i3_;
    i3_ = metal::insert_bits(_e58, _e59, 5u, 10u);
    metal::int4 _e63 = i4_;
    metal::int4 _e64 = i4_;
    i4_ = metal::insert_bits(_e63, _e64, 5u, 10u);
    uint _e68 = u;
    uint _e69 = u;
    u = metal::insert_bits(_e68, _e69, 5u, 10u);
    metal::uint2 _e73 = u2_;
    metal::uint2 _e74 = u2_;
    u2_ = metal::insert_bits(_e73, _e74, 5u, 10u);
    metal::uint3 _e78 = u3_;
    metal::uint3 _e79 = u3_;
    u3_ = metal::insert_bits(_e78, _e79, 5u, 10u);
    metal::uint4 _e83 = u4_;
    metal::uint4 _e84 = u4_;
    u4_ = metal::insert_bits(_e83, _e84, 5u, 10u);
    int _e88 = i;
    i = metal::extract_bits(_e88, 5u, 10u);
    metal::int2 _e92 = i2_;
    i2_ = metal::extract_bits(_e92, 5u, 10u);
    metal::int3 _e96 = i3_;
    i3_ = metal::extract_bits(_e96, 5u, 10u);
    metal::int4 _e100 = i4_;
    i4_ = metal::extract_bits(_e100, 5u, 10u);
    uint _e104 = u;
    u = metal::extract_bits(_e104, 5u, 10u);
    metal::uint2 _e108 = u2_;
    u2_ = metal::extract_bits(_e108, 5u, 10u);
    metal::uint3 _e112 = u3_;
    u3_ = metal::extract_bits(_e112, 5u, 10u);
    metal::uint4 _e116 = u4_;
    u4_ = metal::extract_bits(_e116, 5u, 10u);
    int _e120 = i;
    i = (((metal::ctz(_e120) + 1) % 33) - 1);
    metal::uint2 _e122 = u2_;
    u2_ = (((metal::ctz(_e122) + 1) % 33) - 1);
    metal::int3 _e124 = i3_;
    i3_ = (((metal::clz(_e124) + 1) % 33) - 1);
    uint _e126 = u;
    u = (((metal::clz(_e126) + 1) % 33) - 1);
    int _e128 = i;
    i = metal::popcount(_e128);
    metal::int2 _e130 = i2_;
    i2_ = metal::popcount(_e130);
    metal::int3 _e132 = i3_;
    i3_ = metal::popcount(_e132);
    metal::int4 _e134 = i4_;
    i4_ = metal::popcount(_e134);
    uint _e136 = u;
    u = metal::popcount(_e136);
    metal::uint2 _e138 = u2_;
    u2_ = metal::popcount(_e138);
    metal::uint3 _e140 = u3_;
    u3_ = metal::popcount(_e140);
    metal::uint4 _e142 = u4_;
    u4_ = metal::popcount(_e142);
    int _e144 = i;
    i = metal::reverse_bits(_e144);
    metal::int2 _e146 = i2_;
    i2_ = metal::reverse_bits(_e146);
    metal::int3 _e148 = i3_;
    i3_ = metal::reverse_bits(_e148);
    metal::int4 _e150 = i4_;
    i4_ = metal::reverse_bits(_e150);
    uint _e152 = u;
    u = metal::reverse_bits(_e152);
    metal::uint2 _e154 = u2_;
    u2_ = metal::reverse_bits(_e154);
    metal::uint3 _e156 = u3_;
    u3_ = metal::reverse_bits(_e156);
    metal::uint4 _e158 = u4_;
    u4_ = metal::reverse_bits(_e158);
    return;
}


================================================
FILE: lib/naga/tests/out/msl/boids.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct _mslBufferSizes {
    uint size1;
    uint size2;
};

constexpr constant unsigned NUM_PARTICLES = 1500u;
struct Particle {
    metal::float2 pos;
    metal::float2 vel;
};
struct SimParams {
    float deltaT;
    float rule1Distance;
    float rule2Distance;
    float rule3Distance;
    float rule1Scale;
    float rule2Scale;
    float rule3Scale;
};
typedef Particle type_3[1];
struct Particles {
    type_3 particles;
};

struct main_Input {
};
kernel void main_(
  metal::uint3 global_invocation_id [[thread_position_in_grid]]
, constant SimParams& params [[buffer(0)]]
, device Particles const& particlesSrc [[buffer(1)]]
, device Particles& particlesDst [[buffer(2)]]
, constant _mslBufferSizes& _buffer_sizes [[buffer(3)]]
) {
    metal::float2 vPos = {};
    metal::float2 vVel = {};
    metal::float2 cMass = {};
    metal::float2 cVel = {};
    metal::float2 colVel = {};
    int cMassCount = 0;
    int cVelCount = 0;
    metal::float2 pos = {};
    metal::float2 vel = {};
    uint i = 0u;
    uint index = global_invocation_id.x;
    if (index >= NUM_PARTICLES) {
        return;
    }
    metal::float2 _e10 = particlesSrc.particles[index].pos;
    vPos = _e10;
    metal::float2 _e15 = particlesSrc.particles[index].vel;
    vVel = _e15;
    cMass = metal::float2(0.0, 0.0);
    cVel = metal::float2(0.0, 0.0);
    colVel = metal::float2(0.0, 0.0);
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            uint _e86 = i;
            i = _e86 + 1u;
        }
        loop_init = false;
        uint _e37 = i;
        if (_e37 >= NUM_PARTICLES) {
            break;
        }
        uint _e39 = i;
        if (_e39 == index) {
            continue;
        }
        uint _e42 = i;
        metal::float2 _e45 = particlesSrc.particles[_e42].pos;
        pos = _e45;
        uint _e47 = i;
        metal::float2 _e50 = particlesSrc.particles[_e47].vel;
        vel = _e50;
        metal::float2 _e51 = pos;
        metal::float2 _e52 = vPos;
        float _e55 = params.rule1Distance;
        if (metal::distance(_e51, _e52) < _e55) {
            metal::float2 _e57 = cMass;
            metal::float2 _e58 = pos;
            cMass = _e57 + _e58;
            int _e60 = cMassCount;
            cMassCount = _e60 + 1;
        }
        metal::float2 _e63 = pos;
        metal::float2 _e64 = vPos;
        float _e67 = params.rule2Distance;
        if (metal::distance(_e63, _e64) < _e67) {
            metal::float2 _e69 = colVel;
            metal::float2 _e70 = pos;
            metal::float2 _e71 = vPos;
            colVel = _e69 - (_e70 - _e71);
        }
        metal::float2 _e74 = pos;
        metal::float2 _e75 = vPos;
        float _e78 = params.rule3Distance;
        if (metal::distance(_e74, _e75) < _e78) {
            metal::float2 _e80 = cVel;
            metal::float2 _e81 = vel;
            cVel = _e80 + _e81;
            int _e83 = cVelCount;
            cVelCount = _e83 + 1;
        }
    }
    int _e89 = cMassCount;
    if (_e89 > 0) {
        metal::float2 _e92 = cMass;
        int _e93 = cMassCount;
        metal::float2 _e97 = vPos;
        cMass = (_e92 / metal::float2(static_cast<float>(_e93))) - _e97;
    }
    int _e99 = cVelCount;
    if (_e99 > 0) {
        metal::float2 _e102 = cVel;
        int _e103 = cVelCount;
        cVel = _e102 / metal::float2(static_cast<float>(_e103));
    }
    metal::float2 _e107 = vVel;
    metal::float2 _e108 = cMass;
    float _e110 = params.rule1Scale;
    metal::float2 _e113 = colVel;
    float _e115 = params.rule2Scale;
    metal::float2 _e118 = cVel;
    float _e120 = params.rule3Scale;
    vVel = ((_e107 + (_e108 * _e110)) + (_e113 * _e115)) + (_e118 * _e120);
    metal::float2 _e123 = vVel;
    metal::float2 _e125 = vVel;
    vVel = metal::normalize(_e123) * metal::clamp(metal::length(_e125), 0.0, 0.10000000149011612);
    metal::float2 _e131 = vPos;
    metal::float2 _e132 = vVel;
    float _e134 = params.deltaT;
    vPos = _e131 + (_e132 * _e134);
    float _e138 = vPos.x;
    if (_e138 < -1.0) {
        vPos.x = 1.0;
    }
    float _e144 = vPos.x;
    if (_e144 > 1.0) {
        vPos.x = -1.0;
    }
    float _e150 = vPos.y;
    if (_e150 < -1.0) {
        vPos.y = 1.0;
    }
    float _e156 = vPos.y;
    if (_e156 > 1.0) {
        vPos.y = -1.0;
    }
    metal::float2 _e164 = vPos;
    particlesDst.particles[index].pos = _e164;
    metal::float2 _e168 = vVel;
    particlesDst.particles[index].vel = _e168;
    return;
}


================================================
FILE: lib/naga/tests/out/msl/bounds-check-image-restrict.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

constant metal::int2 const_type_4_ = {0, 0};
constant metal::int3 const_type_7_ = {0, 0, 0};
constant metal::float4 const_type_2_ = {0.0, 0.0, 0.0, 0.0};

metal::float4 test_textureLoad_1d(
    int coords,
    int level,
    metal::texture1d<float, metal::access::sample> image_1d
) {
    metal::float4 _e3 = image_1d.read(metal::min(uint(coords), image_1d.get_width() - 1));
    return _e3;
}

metal::float4 test_textureLoad_2d(
    metal::int2 coords_1,
    int level_1,
    metal::texture2d<float, metal::access::sample> image_2d
) {
    uint clamped_lod_e4 = metal::min(uint(level_1), image_2d.get_num_mip_levels() - 1);
    metal::float4 _e4 = image_2d.read(metal::min(metal::uint2(coords_1), metal::uint2(image_2d.get_width(clamped_lod_e4), image_2d.get_height(clamped_lod_e4)) - 1), clamped_lod_e4);
    return _e4;
}

metal::float4 test_textureLoad_2d_array(
    metal::int2 coords_2,
    int index,
    int level_2,
    metal::texture2d_array<float, metal::access::sample> image_2d_array
) {
    uint clamped_lod_e6 = metal::min(uint(level_2), image_2d_array.get_num_mip_levels() - 1);
    metal::float4 _e6 = image_2d_array.read(metal::min(metal::uint2(coords_2), metal::uint2(image_2d_array.get_width(clamped_lod_e6), image_2d_array.get_height(clamped_lod_e6)) - 1), metal::min(uint(index), image_2d_array.get_array_size() - 1), clamped_lod_e6);
    return _e6;
}

metal::float4 test_textureLoad_3d(
    metal::int3 coords_3,
    int level_3,
    metal::texture3d<float, metal::access::sample> image_3d
) {
    uint clamped_lod_e6 = metal::min(uint(level_3), image_3d.get_num_mip_levels() - 1);
    metal::float4 _e6 = image_3d.read(metal::min(metal::uint3(coords_3), metal::uint3(image_3d.get_width(clamped_lod_e6), image_3d.get_height(clamped_lod_e6), image_3d.get_depth(clamped_lod_e6)) - 1), clamped_lod_e6);
    return _e6;
}

metal::float4 test_textureLoad_multisampled_2d(
    metal::int2 coords_4,
    int _sample,
    metal::texture2d_ms<float, metal::access::read> image_multisampled_2d
) {
    metal::float4 _e7 = image_multisampled_2d.read(metal::min(metal::uint2(coords_4), metal::uint2(image_multisampled_2d.get_width(), image_multisampled_2d.get_height()) - 1), metal::min(uint(_sample), image_multisampled_2d.get_num_samples() - 1));
    return _e7;
}

float test_textureLoad_depth_2d(
    metal::int2 coords_5,
    int level_4,
    metal::depth2d<float, metal::access::sample> image_depth_2d
) {
    uint clamped_lod_e8 = metal::min(uint(level_4), image_depth_2d.get_num_mip_levels() - 1);
    float _e8 = image_depth_2d.read(metal::min(metal::uint2(coords_5), metal::uint2(image_depth_2d.get_width(clamped_lod_e8), image_depth_2d.get_height(clamped_lod_e8)) - 1), clamped_lod_e8);
    return _e8;
}

float test_textureLoad_depth_2d_array(
    metal::int2 coords_6,
    int index_1,
    int level_5,
    metal::depth2d_array<float, metal::access::sample> image_depth_2d_array
) {
    uint clamped_lod_e10 = metal::min(uint(level_5), image_depth_2d_array.get_num_mip_levels() - 1);
    float _e10 = image_depth_2d_array.read(metal::min(metal::uint2(coords_6), metal::uint2(image_depth_2d_array.get_width(clamped_lod_e10), image_depth_2d_array.get_height(clamped_lod_e10)) - 1), metal::min(uint(index_1), image_depth_2d_array.get_array_size() - 1), clamped_lod_e10);
    return _e10;
}

float test_textureLoad_depth_multisampled_2d(
    metal::int2 coords_7,
    int _sample_1,
    metal::depth2d_ms<float, metal::access::read> image_depth_multisampled_2d
) {
    float _e10 = image_depth_multisampled_2d.read(metal::min(metal::uint2(coords_7), metal::uint2(image_depth_multisampled_2d.get_width(), image_depth_multisampled_2d.get_height()) - 1), metal::min(uint(_sample_1), image_depth_multisampled_2d.get_num_samples() - 1));
    return _e10;
}

void test_textureStore_1d(
    int coords_8,
    metal::float4 value,
    metal::texture1d<float, metal::access::write> image_storage_1d
) {
    image_storage_1d.write(value, metal::min(uint(coords_8), image_storage_1d.get_width() - 1));
    return;
}

void test_textureStore_2d(
    metal::int2 coords_9,
    metal::float4 value_1,
    metal::texture2d<float, metal::access::write> image_storage_2d
) {
    image_storage_2d.write(value_1, metal::min(metal::uint2(coords_9), metal::uint2(image_storage_2d.get_width(), image_storage_2d.get_height()) - 1));
    return;
}

void test_textureStore_2d_array(
    metal::int2 coords_10,
    int array_index,
    metal::float4 value_2,
    metal::texture2d_array<float, metal::access::write> image_storage_2d_array
) {
    image_storage_2d_array.write(value_2, metal::min(metal::uint2(coords_10), metal::uint2(image_storage_2d_array.get_width(), image_storage_2d_array.get_height()) - 1), metal::min(uint(array_index), image_storage_2d_array.get_array_size() - 1));
    return;
}

void test_textureStore_3d(
    metal::int3 coords_11,
    metal::float4 value_3,
    metal::texture3d<float, metal::access::write> image_storage_3d
) {
    image_storage_3d.write(value_3, metal::min(metal::uint3(coords_11), metal::uint3(image_storage_3d.get_width(), image_storage_3d.get_height(), image_storage_3d.get_depth()) - 1));
    return;
}

struct fragment_shaderOutput {
    metal::float4 member [[color(0)]];
};
fragment fragment_shaderOutput fragment_shader(
  metal::texture1d<float, metal::access::sample> image_1d [[user(fake0)]]
, metal::texture2d<float, metal::access::sample> image_2d [[user(fake0)]]
, metal::texture2d_array<float, metal::access::sample> image_2d_array [[user(fake0)]]
, metal::texture3d<float, metal::access::sample> image_3d [[user(fake0)]]
, metal::texture2d_ms<float, metal::access::read> image_multisampled_2d [[user(fake0)]]
, metal::texture1d<float, metal::access::write> image_storage_1d [[user(fake0)]]
, metal::texture2d<float, metal::access::write> image_storage_2d [[user(fake0)]]
, metal::texture2d_array<float, metal::access::write> image_storage_2d_array [[user(fake0)]]
, metal::texture3d<float, metal::access::write> image_storage_3d [[user(fake0)]]
) {
    metal::float4 _e14 = test_textureLoad_1d(0, 0, image_1d);
    metal::float4 _e17 = test_textureLoad_2d(const_type_4_, 0, image_2d);
    metal::float4 _e21 = test_textureLoad_2d_array(const_type_4_, 0, 0, image_2d_array);
    metal::float4 _e24 = test_textureLoad_3d(const_type_7_, 0, image_3d);
    metal::float4 _e27 = test_textureLoad_multisampled_2d(const_type_4_, 0, image_multisampled_2d);
    test_textureStore_1d(0, const_type_2_, image_storage_1d);
    test_textureStore_2d(const_type_4_, const_type_2_, image_storage_2d);
    test_textureStore_2d_array(const_type_4_, 0, const_type_2_, image_storage_2d_array);
    test_textureStore_3d(const_type_7_, const_type_2_, image_storage_3d);
    return fragment_shaderOutput { metal::float4(0.0, 0.0, 0.0, 0.0) };
}


================================================
FILE: lib/naga/tests/out/msl/bounds-check-image-rzsw.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct DefaultConstructible {
    template<typename T>
    operator T() && {
        return T {};
    }
};
constant metal::int2 const_type_4_ = {0, 0};
constant metal::int3 const_type_7_ = {0, 0, 0};
constant metal::float4 const_type_2_ = {0.0, 0.0, 0.0, 0.0};

metal::float4 test_textureLoad_1d(
    int coords,
    int level,
    metal::texture1d<float, metal::access::sample> image_1d
) {
    metal::float4 _e3 = (uint(level) < image_1d.get_num_mip_levels() && uint(coords) < image_1d.get_width() ? image_1d.read(uint(coords)): DefaultConstructible());
    return _e3;
}

metal::float4 test_textureLoad_2d(
    metal::int2 coords_1,
    int level_1,
    metal::texture2d<float, metal::access::sample> image_2d
) {
    metal::float4 _e4 = (uint(level_1) < image_2d.get_num_mip_levels() && metal::all(metal::uint2(coords_1) < metal::uint2(image_2d.get_width(level_1), image_2d.get_height(level_1))) ? image_2d.read(metal::uint2(coords_1), level_1): DefaultConstructible());
    return _e4;
}

metal::float4 test_textureLoad_2d_array(
    metal::int2 coords_2,
    int index,
    int level_2,
    metal::texture2d_array<float, metal::access::sample> image_2d_array
) {
    metal::float4 _e6 = (uint(level_2) < image_2d_array.get_num_mip_levels() && uint(index) < image_2d_array.get_array_size() && metal::all(metal::uint2(coords_2) < metal::uint2(image_2d_array.get_width(level_2), image_2d_array.get_height(level_2))) ? image_2d_array.read(metal::uint2(coords_2), index, level_2): DefaultConstructible());
    return _e6;
}

metal::float4 test_textureLoad_3d(
    metal::int3 coords_3,
    int level_3,
    metal::texture3d<float, metal::access::sample> image_3d
) {
    metal::float4 _e6 = (uint(level_3) < image_3d.get_num_mip_levels() && metal::all(metal::uint3(coords_3) < metal::uint3(image_3d.get_width(level_3), image_3d.get_height(level_3), image_3d.get_depth(level_3))) ? image_3d.read(metal::uint3(coords_3), level_3): DefaultConstructible());
    return _e6;
}

metal::float4 test_textureLoad_multisampled_2d(
    metal::int2 coords_4,
    int _sample,
    metal::texture2d_ms<float, metal::access::read> image_multisampled_2d
) {
    metal::float4 _e7 = (uint(_sample) < image_multisampled_2d.get_num_samples() && metal::all(metal::uint2(coords_4) < metal::uint2(image_multisampled_2d.get_width(), image_multisampled_2d.get_height())) ? image_multisampled_2d.read(metal::uint2(coords_4), _sample): DefaultConstructible());
    return _e7;
}

float test_textureLoad_depth_2d(
    metal::int2 coords_5,
    int level_4,
    metal::depth2d<float, metal::access::sample> image_depth_2d
) {
    float _e8 = (uint(level_4) < image_depth_2d.get_num_mip_levels() && metal::all(metal::uint2(coords_5) < metal::uint2(image_depth_2d.get_width(level_4), image_depth_2d.get_height(level_4))) ? image_depth_2d.read(metal::uint2(coords_5), level_4): DefaultConstructible());
    return _e8;
}

float test_textureLoad_depth_2d_array(
    metal::int2 coords_6,
    int index_1,
    int level_5,
    metal::depth2d_array<float, metal::access::sample> image_depth_2d_array
) {
    float _e10 = (uint(level_5) < image_depth_2d_array.get_num_mip_levels() && uint(index_1) < image_depth_2d_array.get_array_size() && metal::all(metal::uint2(coords_6) < metal::uint2(image_depth_2d_array.get_width(level_5), image_depth_2d_array.get_height(level_5))) ? image_depth_2d_array.read(metal::uint2(coords_6), index_1, level_5): DefaultConstructible());
    return _e10;
}

float test_textureLoad_depth_multisampled_2d(
    metal::int2 coords_7,
    int _sample_1,
    metal::depth2d_ms<float, metal::access::read> image_depth_multisampled_2d
) {
    float _e10 = (uint(_sample_1) < image_depth_multisampled_2d.get_num_samples() && metal::all(metal::uint2(coords_7) < metal::uint2(image_depth_multisampled_2d.get_width(), image_depth_multisampled_2d.get_height())) ? image_depth_multisampled_2d.read(metal::uint2(coords_7), _sample_1): DefaultConstructible());
    return _e10;
}

void test_textureStore_1d(
    int coords_8,
    metal::float4 value,
    metal::texture1d<float, metal::access::write> image_storage_1d
) {
    if (uint(coords_8) < image_storage_1d.get_width()) {
        image_storage_1d.write(value, uint(coords_8));
    }
    return;
}

void test_textureStore_2d(
    metal::int2 coords_9,
    metal::float4 value_1,
    metal::texture2d<float, metal::access::write> image_storage_2d
) {
    if (metal::all(metal::uint2(coords_9) < metal::uint2(image_storage_2d.get_width(), image_storage_2d.get_height()))) {
        image_storage_2d.write(value_1, metal::uint2(coords_9));
    }
    return;
}

void test_textureStore_2d_array(
    metal::int2 coords_10,
    int array_index,
    metal::float4 value_2,
    metal::texture2d_array<float, metal::access::write> image_storage_2d_array
) {
    if (uint(array_index) < image_storage_2d_array.get_array_size() && metal::all(metal::uint2(coords_10) < metal::uint2(image_storage_2d_array.get_width(), image_storage_2d_array.get_height()))) {
        image_storage_2d_array.write(value_2, metal::uint2(coords_10), array_index);
    }
    return;
}

void test_textureStore_3d(
    metal::int3 coords_11,
    metal::float4 value_3,
    metal::texture3d<float, metal::access::write> image_storage_3d
) {
    if (metal::all(metal::uint3(coords_11) < metal::uint3(image_storage_3d.get_width(), image_storage_3d.get_height(), image_storage_3d.get_depth()))) {
        image_storage_3d.write(value_3, metal::uint3(coords_11));
    }
    return;
}

struct fragment_shaderOutput {
    metal::float4 member [[color(0)]];
};
fragment fragment_shaderOutput fragment_shader(
  metal::texture1d<float, metal::access::sample> image_1d [[user(fake0)]]
, metal::texture2d<float, metal::access::sample> image_2d [[user(fake0)]]
, metal::texture2d_array<float, metal::access::sample> image_2d_array [[user(fake0)]]
, metal::texture3d<float, metal::access::sample> image_3d [[user(fake0)]]
, metal::texture2d_ms<float, metal::access::read> image_multisampled_2d [[user(fake0)]]
, metal::texture1d<float, metal::access::write> image_storage_1d [[user(fake0)]]
, metal::texture2d<float, metal::access::write> image_storage_2d [[user(fake0)]]
, metal::texture2d_array<float, metal::access::write> image_storage_2d_array [[user(fake0)]]
, metal::texture3d<float, metal::access::write> image_storage_3d [[user(fake0)]]
) {
    metal::float4 _e14 = test_textureLoad_1d(0, 0, image_1d);
    metal::float4 _e17 = test_textureLoad_2d(const_type_4_, 0, image_2d);
    metal::float4 _e21 = test_textureLoad_2d_array(const_type_4_, 0, 0, image_2d_array);
    metal::float4 _e24 = test_textureLoad_3d(const_type_7_, 0, image_3d);
    metal::float4 _e27 = test_textureLoad_multisampled_2d(const_type_4_, 0, image_multisampled_2d);
    test_textureStore_1d(0, const_type_2_, image_storage_1d);
    test_textureStore_2d(const_type_4_, const_type_2_, image_storage_2d);
    test_textureStore_2d_array(const_type_4_, 0, const_type_2_, image_storage_2d_array);
    test_textureStore_3d(const_type_7_, const_type_2_, image_storage_3d);
    return fragment_shaderOutput { metal::float4(0.0, 0.0, 0.0, 0.0) };
}


================================================
FILE: lib/naga/tests/out/msl/bounds-check-restrict.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct _mslBufferSizes {
    uint size0;
};

struct type_1 {
    float inner[10];
};
typedef float type_4[1];
struct Globals {
    type_1 a;
    char _pad1[8];
    metal::float4 v;
    metal::float3x4 m;
    type_4 d;
};

float index_array(
    int i,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e4 = globals.a.inner[metal::min(unsigned(i), 9u)];
    return _e4;
}

float index_dynamic_array(
    int i_1,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e4 = globals.d[metal::min(unsigned(i_1), (_buffer_sizes.size0 - 112 - 4) / 4)];
    return _e4;
}

float index_vector(
    int i_2,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e4 = globals.v[metal::min(unsigned(i_2), 3u)];
    return _e4;
}

float index_vector_by_value(
    metal::float4 v,
    int i_3
) {
    return v[metal::min(unsigned(i_3), 3u)];
}

metal::float4 index_matrix(
    int i_4,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    metal::float4 _e4 = globals.m[metal::min(unsigned(i_4), 2u)];
    return _e4;
}

float index_twice(
    int i_5,
    int j,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e6 = globals.m[metal::min(unsigned(i_5), 2u)][metal::min(unsigned(j), 3u)];
    return _e6;
}

float index_expensive(
    int i_6,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e11 = globals.a.inner[metal::min(unsigned(static_cast<int>(metal::sin(static_cast<float>(i_6) / 100.0) * 100.0)), 9u)];
    return _e11;
}

float index_in_bounds(
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e4 = globals.a.inner[9];
    float _e8 = globals.v.w;
    float _e15 = globals.m[2].w;
    return (_e4 + _e8) + _e15;
}

void set_array(
    int i_7,
    float v_1,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    globals.a.inner[metal::min(unsigned(i_7), 9u)] = v_1;
    return;
}

void set_dynamic_array(
    int i_8,
    float v_2,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    globals.d[metal::min(unsigned(i_8), (_buffer_sizes.size0 - 112 - 4) / 4)] = v_2;
    return;
}

void set_vector(
    int i_9,
    float v_3,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    globals.v[metal::min(unsigned(i_9), 3u)] = v_3;
    return;
}

void set_matrix(
    int i_10,
    metal::float4 v_4,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    globals.m[metal::min(unsigned(i_10), 2u)] = v_4;
    return;
}

void set_index_twice(
    int i_11,
    int j_1,
    float v_5,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    globals.m[metal::min(unsigned(i_11), 2u)][metal::min(unsigned(j_1), 3u)] = v_5;
    return;
}

void set_expensive(
    int i_12,
    float v_6,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    globals.a.inner[metal::min(unsigned(static_cast<int>(metal::sin(static_cast<float>(i_12) / 100.0) * 100.0)), 9u)] = v_6;
    return;
}

void set_in_bounds(
    float v_7,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    globals.a.inner[9] = v_7;
    globals.v.w = v_7;
    globals.m[2].w = v_7;
    return;
}


================================================
FILE: lib/naga/tests/out/msl/bounds-check-zero-atomic.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct DefaultConstructible {
    template<typename T>
    operator T() && {
        return T {};
    }
};
struct _mslBufferSizes {
    uint size0;
};

struct type_1 {
    metal::atomic_uint inner[10];
};
typedef metal::atomic_uint type_2[1];
struct Globals {
    metal::atomic_uint a;
    type_1 b;
    type_2 c;
};

uint fetch_add_atomic(
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    uint _e3 = metal::atomic_fetch_add_explicit(&globals.a, 1u, metal::memory_order_relaxed);
    return _e3;
}

uint fetch_add_atomic_static_sized_array(
    int i,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    uint _e5 = uint(i) < 10 ? metal::atomic_fetch_add_explicit(&globals.b.inner[i], 1u, metal::memory_order_relaxed) : DefaultConstructible();
    return _e5;
}

uint fetch_add_atomic_dynamic_sized_array(
    int i_1,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    uint _e5 = uint(i_1) < 1 + (_buffer_sizes.size0 - 44 - 4) / 4 ? metal::atomic_fetch_add_explicit(&globals.c[i_1], 1u, metal::memory_order_relaxed) : DefaultConstructible();
    return _e5;
}


================================================
FILE: lib/naga/tests/out/msl/bounds-check-zero.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct DefaultConstructible {
    template<typename T>
    operator T() && {
        return T {};
    }
};
struct _mslBufferSizes {
    uint size0;
};

struct type_1 {
    float inner[10];
};
typedef float type_4[1];
struct Globals {
    type_1 a;
    char _pad1[8];
    metal::float4 v;
    metal::float3x4 m;
    type_4 d;
};

float index_array(
    int i,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e4 = uint(i) < 10 ? globals.a.inner[i] : DefaultConstructible();
    return _e4;
}

float index_dynamic_array(
    int i_1,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e4 = uint(i_1) < 1 + (_buffer_sizes.size0 - 112 - 4) / 4 ? globals.d[i_1] : DefaultConstructible();
    return _e4;
}

float index_vector(
    int i_2,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e4 = uint(i_2) < 4 ? globals.v[i_2] : DefaultConstructible();
    return _e4;
}

float index_vector_by_value(
    metal::float4 v,
    int i_3
) {
    return uint(i_3) < 4 ? v[i_3] : DefaultConstructible();
}

metal::float4 index_matrix(
    int i_4,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    metal::float4 _e4 = uint(i_4) < 3 ? globals.m[i_4] : DefaultConstructible();
    return _e4;
}

float index_twice(
    int i_5,
    int j,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e6 = uint(j) < 4 && uint(i_5) < 3 ? globals.m[i_5][j] : DefaultConstructible();
    return _e6;
}

float index_expensive(
    int i_6,
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    int _e9 = static_cast<int>(metal::sin(static_cast<float>(i_6) / 100.0) * 100.0);
    float _e11 = uint(_e9) < 10 ? globals.a.inner[_e9] : DefaultConstructible();
    return _e11;
}

float index_in_bounds(
    device Globals const& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    float _e4 = globals.a.inner[9];
    float _e8 = globals.v.w;
    float _e15 = globals.m[2].w;
    return (_e4 + _e8) + _e15;
}

void set_array(
    int i_7,
    float v_1,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    if (uint(i_7) < 10) {
        globals.a.inner[i_7] = v_1;
    }
    return;
}

void set_dynamic_array(
    int i_8,
    float v_2,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    if (uint(i_8) < 1 + (_buffer_sizes.size0 - 112 - 4) / 4) {
        globals.d[i_8] = v_2;
    }
    return;
}

void set_vector(
    int i_9,
    float v_3,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    if (uint(i_9) < 4) {
        globals.v[i_9] = v_3;
    }
    return;
}

void set_matrix(
    int i_10,
    metal::float4 v_4,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    if (uint(i_10) < 3) {
        globals.m[i_10] = v_4;
    }
    return;
}

void set_index_twice(
    int i_11,
    int j_1,
    float v_5,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    if (uint(j_1) < 4 && uint(i_11) < 3) {
        globals.m[i_11][j_1] = v_5;
    }
    return;
}

void set_expensive(
    int i_12,
    float v_6,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    int _e10 = static_cast<int>(metal::sin(static_cast<float>(i_12) / 100.0) * 100.0);
    if (uint(_e10) < 10) {
        globals.a.inner[_e10] = v_6;
    }
    return;
}

void set_in_bounds(
    float v_7,
    device Globals& globals,
    constant _mslBufferSizes& _buffer_sizes
) {
    globals.a.inner[9] = v_7;
    globals.v.w = v_7;
    globals.m[2].w = v_7;
    return;
}


================================================
FILE: lib/naga/tests/out/msl/break-if.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;


void breakIfEmpty(
) {
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            if (true) {
                break;
            }
        }
        loop_init = false;
    }
    return;
}

void breakIfEmptyBody(
    bool a
) {
    bool b = {};
    bool c = {};
    bool loop_init_1 = true;
    while(true) {
        if (!loop_init_1) {
            b = a;
            bool _e2 = b;
            c = a != _e2;
            bool _e5 = c;
            bool unnamed = a == _e5;
            if (a == c) {
                break;
            }
        }
        loop_init_1 = false;
    }
    return;
}

void breakIf(
    bool a_1
) {
    bool d = {};
    bool e = {};
    bool loop_init_2 = true;
    while(true) {
        if (!loop_init_2) {
            bool _e5 = e;
            bool unnamed_1 = a_1 == _e5;
            if (a_1 == e) {
                break;
            }
        }
        loop_init_2 = false;
        d = a_1;
        bool _e2 = d;
        e = a_1 != _e2;
    }
    return;
}

kernel void main_(
) {
    return;
}


================================================
FILE: lib/naga/tests/out/msl/collatz.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct _mslBufferSizes {
    uint size0;
};

typedef uint type_1[1];
struct PrimeIndices {
    type_1 data;
};

uint collatz_iterations(
    uint n_base
) {
    uint n = {};
    uint i = 0u;
    n = n_base;
    while(true) {
        uint _e5 = n;
        if (_e5 > 1u) {
        } else {
            break;
        }
        uint _e8 = n;
        if ((_e8 % 2u) == 0u) {
            uint _e13 = n;
            n = _e13 / 2u;
        } else {
            uint _e17 = n;
            n = (3u * _e17) + 1u;
        }
        uint _e21 = i;
        i = _e21 + 1u;
    }
    uint _e24 = i;
    return _e24;
}

struct main_Input {
};
kernel void main_(
  metal::uint3 global_id [[thread_position_in_grid]]
, device PrimeIndices& v_indices [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    uint _e8 = v_indices.data[global_id.x];
    uint _e9 = collatz_iterations(_e8);
    v_indices.data[global_id.x] = _e9;
    return;
}


================================================
FILE: lib/naga/tests/out/msl/control-flow.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;


void switch_default_break(
    int i
) {
    switch(i) {
        default: {
            break;
        }
    }
}

void switch_case_break(
) {
    switch(0) {
        case 0: {
            break;
        }
        default: {
            break;
        }
    }
    return;
}

void loop_switch_continue(
    int x
) {
    while(true) {
        switch(x) {
            case 1: {
                continue;
            }
            default: {
                break;
            }
        }
    }
    return;
}

struct main_Input {
};
kernel void main_(
  metal::uint3 global_id [[thread_position_in_grid]]
) {
    int pos = {};
    metal::threadgroup_barrier(metal::mem_flags::mem_device);
    metal::threadgroup_barrier(metal::mem_flags::mem_threadgroup);
    switch(1) {
        default: {
            pos = 1;
            break;
        }
    }
    int _e4 = pos;
    switch(_e4) {
        case 1: {
            pos = 0;
            break;
        }
        case 2: {
            pos = 1;
            break;
        }
        case 3: {
            pos = 2;
        }
        case 4: {
            pos = 3;
        }
        default: {
            pos = 4;
            break;
        }
    }
    switch(0u) {
        case 0u: {
            break;
        }
        default: {
            break;
        }
    }
    int _e11 = pos;
    switch(_e11) {
        case 1: {
            pos = 0;
            break;
        }
        case 2: {
            pos = 1;
            return;
        }
        case 3: {
            pos = 2;
        }
        case 4: {
            return;
        }
        default: {
            pos = 3;
            return;
        }
    }
}


================================================
FILE: lib/naga/tests/out/msl/empty-global-name.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct type_1 {
    int member;
};

void function(
    device type_1& unnamed
) {
    int _e8 = unnamed.member;
    unnamed.member = _e8 + 1;
    return;
}

kernel void main_(
  device type_1& unnamed [[user(fake0)]]
) {
    function(unnamed);
}


================================================
FILE: lib/naga/tests/out/msl/empty.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;


kernel void main_(
) {
    return;
}


================================================
FILE: lib/naga/tests/out/msl/extra.msl
================================================
// language: metal2.2
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct PushConstants {
    uint index;
    char _pad1[12];
    metal::float2 double_;
};
struct FragmentIn {
    metal::float4 color;
    uint primitive_index;
};

struct main_Input {
    metal::float4 color [[user(loc0), center_perspective]];
};
struct main_Output {
    metal::float4 member [[color(0)]];
};
fragment main_Output main_(
  main_Input varyings [[stage_in]]
, uint primitive_index [[primitive_id]]
, constant PushConstants& pc [[buffer(1)]]
) {
    const FragmentIn in = { varyings.color, primitive_index };
    uint _e4 = pc.index;
    if (in.primitive_index == _e4) {
        return main_Output { in.color };
    } else {
        return main_Output { metal::float4(metal::float3(1.0) - in.color.xyz, in.color.w) };
    }
}


================================================
FILE: lib/naga/tests/out/msl/functions.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;


metal::float2 test_fma(
) {
    metal::float2 a = metal::float2(2.0, 2.0);
    metal::float2 b = metal::float2(0.5, 0.5);
    metal::float2 c = metal::float2(0.5, 0.5);
    return metal::fma(a, b, c);
}

int test_integer_dot_product(
) {
    metal::int2 a_2_ = metal::int2(1);
    metal::int2 b_2_ = metal::int2(1);
    int c_2_ = ( + a_2_.x * b_2_.x + a_2_.y * b_2_.y);
    metal::uint3 a_3_ = metal::uint3(1u);
    metal::uint3 b_3_ = metal::uint3(1u);
    uint c_3_ = ( + a_3_.x * b_3_.x + a_3_.y * b_3_.y + a_3_.z * b_3_.z);
    metal::int4 _e11 = metal::int4(4);
    metal::int4 _e13 = metal::int4(2);
    int c_4_ = ( + _e11.x * _e13.x + _e11.y * _e13.y + _e11.z * _e13.z + _e11.w * _e13.w);
    return c_4_;
}

kernel void main_(
) {
    metal::float2 _e0 = test_fma();
    int _e1 = test_integer_dot_product();
    return;
}


================================================
FILE: lib/naga/tests/out/msl/globals.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct _mslBufferSizes {
    uint size3;
};

constexpr constant bool Foo_2 = true;
struct type_2 {
    float inner[10u];
};
struct Foo {
    metal::packed_float3 v3_;
    float v1_;
};
typedef metal::float2 type_6[1];
struct type_8 {
    metal::float4 inner[20];
};
struct type_11 {
    metal::float2x4 inner[2];
};
struct type_12 {
    type_11 inner[2];
};
struct type_14 {
    metal::float4x2 inner[2];
};
struct type_15 {
    type_14 inner[2];
};
constant metal::float3 const_type_4_ = {0.0, 0.0, 0.0};
constant metal::float3x3 const_type_17_ = {const_type_4_, const_type_4_, const_type_4_};

void test_msl_packed_vec3_as_arg(
    metal::float3 arg
) {
    return;
}

void test_msl_packed_vec3_(
    device Foo& alignment
) {
    int idx = 1;
    alignment.v3_ = metal::float3(1.0);
    alignment.v3_[0] = 1.0;
    alignment.v3_[0] = 2.0;
    int _e23 = idx;
    alignment.v3_[_e23] = 3.0;
    Foo data = alignment;
    metal::float3 unnamed = data.v3_;
    metal::float2 unnamed_1 = metal::float3(data.v3_).zx;
    test_msl_packed_vec3_as_arg(data.v3_);
    metal::float3 unnamed_2 = metal::float3(data.v3_) * const_type_17_;
    metal::float3 unnamed_3 = const_type_17_ * metal::float3(data.v3_);
    metal::float3 unnamed_4 = data.v3_ * 2.0;
    metal::float3 unnamed_5 = 2.0 * data.v3_;
}

kernel void main_(
  threadgroup type_2& wg
, threadgroup metal::atomic_uint& at_1
, device Foo& alignment [[user(fake0)]]
, device type_6 const& dummy [[user(fake0)]]
, constant type_8& float_vecs [[user(fake0)]]
, constant metal::float3& global_vec [[user(fake0)]]
, constant metal::float3x2& global_mat [[user(fake0)]]
, constant type_12& global_nested_arrays_of_matrices_2x4_ [[user(fake0)]]
, constant type_15& global_nested_arrays_of_matrices_4x2_ [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    float Foo_1 = 1.0;
    bool at = true;
    test_msl_packed_vec3_(alignment);
    metal::float4x2 _e16 = global_nested_arrays_of_matrices_4x2_.inner[0].inner[0];
    metal::float4 _e23 = global_nested_arrays_of_matrices_2x4_.inner[0].inner[0][0];
    wg.inner[7] = (_e16 * _e23).x;
    metal::float3x2 _e28 = global_mat;
    metal::float3 _e29 = global_vec;
    wg.inner[6] = (_e28 * _e29).x;
    float _e37 = dummy[1].y;
    wg.inner[5] = _e37;
    float _e43 = float_vecs.inner[0].w;
    wg.inner[4] = _e43;
    float _e47 = alignment.v1_;
    wg.inner[3] = _e47;
    float _e52 = alignment.v3_[0];
    wg.inner[2] = _e52;
    alignment.v1_ = 4.0;
    wg.inner[1] = static_cast<float>(1 + (_buffer_sizes.size3 - 0 - 8) / 8);
    metal::atomic_store_explicit(&at_1, 2u, metal::memory_order_relaxed);
    return;
}


================================================
FILE: lib/naga/tests/out/msl/image.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

constant metal::int2 const_type_9_ = {3, 1};

struct main_Input {
};
kernel void main_(
  metal::uint3 local_id [[thread_position_in_threadgroup]]
, metal::texture2d<uint, metal::access::sample> image_mipmapped_src [[user(fake0)]]
, metal::texture2d_ms<uint, metal::access::read> image_multisampled_src [[user(fake0)]]
, metal::texture2d<uint, metal::access::read> image_storage_src [[user(fake0)]]
, metal::texture2d_array<uint, metal::access::sample> image_array_src [[user(fake0)]]
, metal::texture1d<uint, metal::access::sample> image_1d_src [[user(fake0)]]
, metal::texture1d<uint, metal::access::write> image_dst [[user(fake0)]]
) {
    metal::int2 dim = metal::int2(image_storage_src.get_width(), image_storage_src.get_height());
    metal::int2 itc = (dim * static_cast<metal::int2>(local_id.xy)) % metal::int2(10, 20);
    metal::uint4 value1_ = image_mipmapped_src.read(metal::uint2(itc), static_cast<int>(local_id.z));
    metal::uint4 value2_ = image_multisampled_src.read(metal::uint2(itc), static_cast<int>(local_id.z));
    metal::uint4 value4_ = image_storage_src.read(metal::uint2(itc));
    metal::uint4 value5_ = image_array_src.read(metal::uint2(itc), static_cast<int>(local_id.z), static_cast<int>(local_id.z) + 1);
    metal::uint4 value6_ = image_1d_src.read(uint(static_cast<int>(local_id.x)));
    image_dst.write((((value1_ + value2_) + value4_) + value5_) + value6_, uint(itc.x));
    return;
}


struct depth_loadInput {
};
kernel void depth_load(
  metal::uint3 local_id_1 [[thread_position_in_threadgroup]]
, metal::depth2d_ms<float, metal::access::read> image_depth_multisampled_src [[user(fake0)]]
, metal::texture2d<uint, metal::access::read> image_storage_src [[user(fake0)]]
, metal::texture1d<uint, metal::access::write> image_dst [[user(fake0)]]
) {
    metal::int2 dim_1 = metal::int2(image_storage_src.get_width(), image_storage_src.get_height());
    metal::int2 itc_1 = (dim_1 * static_cast<metal::int2>(local_id_1.xy)) % metal::int2(10, 20);
    float val = image_depth_multisampled_src.read(metal::uint2(itc_1), static_cast<int>(local_id_1.z));
    image_dst.write(metal::uint4(static_cast<uint>(val)), uint(itc_1.x));
    return;
}


struct queriesOutput {
    metal::float4 member_2 [[position]];
};
vertex queriesOutput queries(
  metal::texture1d<float, metal::access::sample> image_1d [[user(fake0)]]
, metal::texture2d<float, metal::access::sample> image_2d [[user(fake0)]]
, metal::texture2d_array<float, metal::access::sample> image_2d_array [[user(fake0)]]
, metal::texturecube<float, metal::access::sample> image_cube [[user(fake0)]]
, metal::texturecube_array<float, metal::access::sample> image_cube_array [[user(fake0)]]
, metal::texture3d<float, metal::access::sample> image_3d [[user(fake0)]]
, metal::texture2d_ms<float, metal::access::read> image_aa [[user(fake0)]]
) {
    int dim_1d = int(image_1d.get_width());
    int dim_1d_lod = int(image_1d.get_width());
    metal::int2 dim_2d = metal::int2(image_2d.get_width(), image_2d.get_height());
    metal::int2 dim_2d_lod = metal::int2(image_2d.get_width(1), image_2d.get_height(1));
    metal::int2 dim_2d_array = metal::int2(image_2d_array.get_width(), image_2d_array.get_height());
    metal::int2 dim_2d_array_lod = metal::int2(image_2d_array.get_width(1), image_2d_array.get_height(1));
    metal::int2 dim_cube = metal::int2(image_cube.get_width());
    metal::int2 dim_cube_lod = metal::int2(image_cube.get_width(1));
    metal::int2 dim_cube_array = metal::int2(image_cube_array.get_width());
    metal::int2 dim_cube_array_lod = metal::int2(image_cube_array.get_width(1));
    metal::int3 dim_3d = metal::int3(image_3d.get_width(), image_3d.get_height(), image_3d.get_depth());
    metal::int3 dim_3d_lod = metal::int3(image_3d.get_width(1), image_3d.get_height(1), image_3d.get_depth(1));
    metal::int2 dim_2s_ms = metal::int2(image_aa.get_width(), image_aa.get_height());
    int sum = (((((((((dim_1d + dim_2d.y) + dim_2d_lod.y) + dim_2d_array.y) + dim_2d_array_lod.y) + dim_cube.y) + dim_cube_lod.y) + dim_cube_array.y) + dim_cube_array_lod.y) + dim_3d.z) + dim_3d_lod.z;
    return queriesOutput { metal::float4(static_cast<float>(sum)) };
}


struct levels_queriesOutput {
    metal::float4 member_3 [[position]];
};
vertex levels_queriesOutput levels_queries(
  metal::texture2d<float, metal::access::sample> image_2d [[user(fake0)]]
, metal::texture2d_array<float, metal::access::sample> image_2d_array [[user(fake0)]]
, metal::texturecube<float, metal::access::sample> image_cube [[user(fake0)]]
, metal::texturecube_array<float, metal::access::sample> image_cube_array [[user(fake0)]]
, metal::texture3d<float, metal::access::sample> image_3d [[user(fake0)]]
, metal::texture2d_ms<float, metal::access::read> image_aa [[user(fake0)]]
) {
    int num_levels_2d = int(image_2d.get_num_mip_levels());
    int num_levels_2d_array = int(image_2d_array.get_num_mip_levels());
    int num_layers_2d = int(image_2d_array.get_array_size());
    int num_levels_cube = int(image_cube.get_num_mip_levels());
    int num_levels_cube_array = int(image_cube_array.get_num_mip_levels());
    int num_layers_cube = int(image_cube_array.get_array_size());
    int num_levels_3d = int(image_3d.get_num_mip_levels());
    int num_samples_aa = int(image_aa.get_num_samples());
    int sum_1 = ((((((num_layers_2d + num_layers_cube) + num_samples_aa) + num_levels_2d) + num_levels_2d_array) + num_levels_3d) + num_levels_cube) + num_levels_cube_array;
    return levels_queriesOutput { metal::float4(static_cast<float>(sum_1)) };
}


struct texture_sampleOutput {
    metal::float4 member_4 [[color(0)]];
};
fragment texture_sampleOutput texture_sample(
  metal::texture1d<float, metal::access::sample> image_1d [[user(fake0)]]
, metal::texture2d<float, metal::access::sample> image_2d [[user(fake0)]]
, metal::sampler sampler_reg [[user(fake0)]]
) {
    metal::float2 tc = metal::float2(0.5);
    metal::float4 s1d = image_1d.sample(sampler_reg, tc.x);
    metal::float4 s2d = image_2d.sample(sampler_reg, tc);
    metal::float4 s2d_offset = image_2d.sample(sampler_reg, tc, const_type_9_);
    metal::float4 s2d_level = image_2d.sample(sampler_reg, tc, metal::level(2.299999952316284));
    metal::float4 s2d_level_offset = image_2d.sample(sampler_reg, tc, metal::level(2.299999952316284), const_type_9_);
    metal::float4 s2d_bias_offset = image_2d.sample(sampler_reg, tc, metal::bias(2.0), const_type_9_);
    return texture_sampleOutput { (((s1d + s2d) + s2d_offset) + s2d_level) + s2d_level_offset };
}


struct texture_sample_comparisonOutput {
    float member_5 [[color(0)]];
};
fragment texture_sample_comparisonOutput texture_sample_comparison(
  metal::sampler sampler_cmp [[user(fake0)]]
, metal::depth2d<float, metal::access::sample> image_2d_depth [[user(fake0)]]
, metal::depthcube<float, metal::access::sample> image_cube_depth [[user(fake0)]]
) {
    metal::float2 tc_1 = metal::float2(0.5);
    float s2d_depth = image_2d_depth.sample_compare(sampler_cmp, tc_1, 0.5);
    float s2d_depth_level = image_2d_depth.sample_compare(sampler_cmp, tc_1, 0.5);
    float scube_depth_level = image_cube_depth.sample_compare(sampler_cmp, metal::float3(0.5), 0.5);
    return texture_sample_comparisonOutput { s2d_depth + s2d_depth_level };
}


struct gatherOutput {
    metal::float4 member_6 [[color(0)]];
};
fragment gatherOutput gather(
  metal::texture2d<float, metal::access::sample> image_2d [[user(fake0)]]
, metal::sampler sampler_reg [[user(fake0)]]
, metal::sampler sampler_cmp [[user(fake0)]]
, metal::depth2d<float, metal::access::sample> image_2d_depth [[user(fake0)]]
) {
    metal::float2 tc_2 = metal::float2(0.5);
    metal::float4 s2d_1 = image_2d.gather(sampler_reg, tc_2, int2(0), metal::component::y);
    metal::float4 s2d_offset_1 = image_2d.gather(sampler_reg, tc_2, const_type_9_, metal::component::w);
    metal::float4 s2d_depth_1 = image_2d_depth.gather_compare(sampler_cmp, tc_2, 0.5);
    metal::float4 s2d_depth_offset = image_2d_depth.gather_compare(sampler_cmp, tc_2, 0.5, const_type_9_);
    return gatherOutput { ((s2d_1 + s2d_offset_1) + s2d_depth_1) + s2d_depth_offset };
}


struct depth_no_comparisonOutput {
    metal::float4 member_7 [[color(0)]];
};
fragment depth_no_comparisonOutput depth_no_comparison(
  metal::sampler sampler_reg [[user(fake0)]]
, metal::depth2d<float, metal::access::sample> image_2d_depth [[user(fake0)]]
) {
    metal::float2 tc_3 = metal::float2(0.5);
    float s2d_2 = image_2d_depth.sample(sampler_reg, tc_3);
    metal::float4 s2d_gather = image_2d_depth.gather(sampler_reg, tc_3);
    return depth_no_comparisonOutput { metal::float4(s2d_2) + s2d_gather };
}


================================================
FILE: lib/naga/tests/out/msl/interface.msl
================================================
// language: metal2.1
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct VertexOutput {
    metal::float4 position;
    float _varying;
};
struct FragmentOutput {
    float depth;
    uint sample_mask;
    float color;
};
struct type_4 {
    uint inner[1];
};
struct Input1_ {
    uint index;
};
struct Input2_ {
    uint index;
};

struct vertex_Input {
    uint color [[attribute(10)]];
};
struct vertex_Output {
    metal::float4 position [[position, invariant]];
    float _varying [[user(loc1), center_perspective]];
    float _point_size [[point_size]];
};
vertex vertex_Output vertex_(
  vertex_Input varyings [[stage_in]]
, uint vertex_index [[vertex_id]]
, uint instance_index [[instance_id]]
) {
    const auto color = varyings.color;
    uint tmp = (vertex_index + instance_index) + color;
    const auto _tmp = VertexOutput {metal::float4(1.0), static_cast<float>(tmp)};
    return vertex_Output { _tmp.position, _tmp._varying, 1.0 };
}


struct fragment_Input {
    float _varying [[user(loc1), center_perspective]];
};
struct fragment_Output {
    float depth [[depth(any)]];
    uint sample_mask [[sample_mask]];
    float color [[color(0)]];
};
fragment fragment_Output fragment_(
  fragment_Input varyings_1 [[stage_in]]
, metal::float4 position [[position]]
, bool front_facing [[front_facing]]
, uint sample_index [[sample_id]]
, uint sample_mask [[sample_mask]]
) {
    const VertexOutput in = { position, varyings_1._varying };
    uint mask = sample_mask & (1u << sample_index);
    float color_1 = front_facing ? 1.0 : 0.0;
    const auto _tmp = FragmentOutput {in._varying, mask, color_1};
    return fragment_Output { _tmp.depth, _tmp.sample_mask, _tmp.color };
}


struct compute_Input {
};
kernel void compute_(
  metal::uint3 global_id [[thread_position_in_grid]]
, metal::uint3 local_id [[thread_position_in_threadgroup]]
, uint local_index [[thread_index_in_threadgroup]]
, metal::uint3 wg_id [[threadgroup_position_in_grid]]
, metal::uint3 num_wgs [[threadgroups_per_grid]]
, threadgroup type_4& output
) {
    output.inner[0] = (((global_id.x + local_id.x) + local_index) + wg_id.x) + num_wgs.x;
    return;
}


struct vertex_two_structsInput {
};
struct vertex_two_structsOutput {
    metal::float4 member_3 [[position, invariant]];
    float _point_size [[point_size]];
};
vertex vertex_two_structsOutput vertex_two_structs(
  uint index_1 [[vertex_id]]
, uint index_2 [[instance_id]]
) {
    const Input1_ in1_ = { index_1 };
    const Input2_ in2_ = { index_2 };
    uint index = 2u;
    uint _e9 = index;
    return vertex_two_structsOutput { metal::float4(static_cast<float>(in1_.index), static_cast<float>(in2_.index), static_cast<float>(_e9), 0.0), 1.0 };
}


================================================
FILE: lib/naga/tests/out/msl/interpolate.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct FragmentInput {
    metal::float4 position;
    uint _flat;
    float _linear;
    metal::float2 linear_centroid;
    metal::float3 linear_sample;
    metal::float4 perspective;
    float perspective_centroid;
    float perspective_sample;
};

struct vert_mainOutput {
    metal::float4 position [[position]];
    uint _flat [[user(loc0), flat]];
    float _linear [[user(loc1), center_no_perspective]];
    metal::float2 linear_centroid [[user(loc2), centroid_no_perspective]];
    metal::float3 linear_sample [[user(loc3), sample_no_perspective]];
    metal::float4 perspective [[user(loc4), center_perspective]];
    float perspective_centroid [[user(loc5), centroid_perspective]];
    float perspective_sample [[user(loc6), sample_perspective]];
};
vertex vert_mainOutput vert_main(
) {
    FragmentInput out = {};
    out.position = metal::float4(2.0, 4.0, 5.0, 6.0);
    out._flat = 8u;
    out._linear = 27.0;
    out.linear_centroid = metal::float2(64.0, 125.0);
    out.linear_sample = metal::float3(216.0, 343.0, 512.0);
    out.perspective = metal::float4(729.0, 1000.0, 1331.0, 1728.0);
    out.perspective_centroid = 2197.0;
    out.perspective_sample = 2744.0;
    FragmentInput _e30 = out;
    const auto _tmp = _e30;
    return vert_mainOutput { _tmp.position, _tmp._flat, _tmp._linear, _tmp.linear_centroid, _tmp.linear_sample, _tmp.perspective, _tmp.perspective_centroid, _tmp.perspective_sample };
}


struct frag_mainInput {
    uint _flat [[user(loc0), flat]];
    float _linear [[user(loc1), center_no_perspective]];
    metal::float2 linear_centroid [[user(loc2), centroid_no_perspective]];
    metal::float3 linear_sample [[user(loc3), sample_no_perspective]];
    metal::float4 perspective [[user(loc4), center_perspective]];
    float perspective_centroid [[user(loc5), centroid_perspective]];
    float perspective_sample [[user(loc6), sample_perspective]];
};
fragment void frag_main(
  frag_mainInput varyings_1 [[stage_in]]
, metal::float4 position [[position]]
) {
    const FragmentInput val = { position, varyings_1._flat, varyings_1._linear, varyings_1.linear_centroid, varyings_1.linear_sample, varyings_1.perspective, varyings_1.perspective_centroid, varyings_1.perspective_sample };
    return;
}


================================================
FILE: lib/naga/tests/out/msl/math-functions.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

constant metal::int2 const_type = {0, 0};

vertex void main_(
) {
    metal::float4 v = metal::float4(0.0);
    float a = ((1.0) * 57.295779513082322865);
    float b = ((1.0) * 0.017453292519943295474);
    metal::float4 c = ((v) * 57.295779513082322865);
    metal::float4 d = ((v) * 0.017453292519943295474);
    metal::float4 e = metal::saturate(v);
    int const_dot = ( + const_type.x * const_type.x + const_type.y * const_type.y);
    uint first_leading_bit_abs = (((metal::clz(metal::abs(0u)) + 1) % 33) - 1);
}


================================================
FILE: lib/naga/tests/out/msl/operators.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct Foo {
    metal::float4 a;
    int b;
};
struct type_12 {
    Foo inner[3];
};
struct type_13 {
    int inner[4u];
};
constant metal::float4 v_f32_one = {1.0, 1.0, 1.0, 1.0};
constant metal::float4 v_f32_zero = {0.0, 0.0, 0.0, 0.0};
constant metal::float4 v_f32_half = {0.5, 0.5, 0.5, 0.5};
constant metal::int4 v_i32_one = {1, 1, 1, 1};
constant metal::uint2 const_type_11_ = {0u, 0u};
constant metal::float2 const_type_4_ = {0.0, 0.0};
constant metal::float2x2 const_type_7_ = {const_type_4_, const_type_4_};
constant metal::float4 const_type = {0.0, 0.0, 0.0, 0.0};
constant Foo const_Foo = {const_type, 0};
constant type_12 const_type_12_ = {const_Foo, const_Foo, const_Foo};
constant metal::float3 const_type_5_ = {0.0, 0.0, 0.0};
constant metal::float2x3 const_type_14_ = {const_type_5_, const_type_5_};
constant metal::float3x3 const_type_15_ = {const_type_5_, const_type_5_, const_type_5_};
constant metal::float4x3 const_type_16_ = {const_type_5_, const_type_5_, const_type_5_, const_type_5_};
constant metal::float3x4 const_type_17_ = {const_type, const_type, const_type};
constant metal::int3 const_type_18_ = {0, 0, 0};

metal::float4 builtins(
) {
    int s1_ = true ? 1 : 0;
    metal::float4 s2_ = true ? v_f32_one : v_f32_zero;
    metal::float4 s3_ = metal::select(v_f32_one, v_f32_zero, metal::bool4(false, false, false, false));
    metal::float4 m1_ = metal::mix(v_f32_zero, v_f32_one, v_f32_half);
    metal::float4 m2_ = metal::mix(v_f32_zero, v_f32_one, 0.10000000149011612);
    float b1_ = as_type<float>(v_i32_one.x);
    metal::float4 b2_ = as_type<metal::float4>(v_i32_one);
    metal::int4 v_i32_zero = static_cast<metal::int4>(v_f32_zero);
    return ((((static_cast<metal::float4>(metal::int4(s1_) + v_i32_zero) + s2_) + m1_) + m2_) + metal::float4(b1_)) + b2_;
}

metal::float4 splat(
) {
    metal::float2 a_2 = ((metal::float2(1.0) + metal::float2(2.0)) - metal::float2(3.0)) / metal::float2(4.0);
    metal::int4 b = metal::int4(5) % metal::int4(2);
    return a_2.xyxy + static_cast<metal::float4>(b);
}

metal::float2 splat_assignment(
) {
    metal::float2 a = {};
    a = metal::float2(2.0);
    metal::float2 _e7 = a;
    a = _e7 + metal::float2(1.0);
    metal::float2 _e11 = a;
    a = _e11 - metal::float2(3.0);
    metal::float2 _e15 = a;
    a = _e15 / metal::float2(4.0);
    metal::float2 _e19 = a;
    return _e19;
}

metal::float3 bool_cast(
    metal::float3 x
) {
    metal::bool3 y = static_cast<metal::bool3>(x);
    return static_cast<metal::float3>(y);
}

float constructors(
) {
    Foo foo = {};
    foo = Foo {metal::float4(1.0), 1};
    metal::float2x2 mat2comp = metal::float2x2(metal::float2(1.0, 0.0), metal::float2(0.0, 1.0));
    metal::float4x4 mat4comp = metal::float4x4(metal::float4(1.0, 0.0, 0.0, 0.0), metal::float4(0.0, 1.0, 0.0, 0.0), metal::float4(0.0, 0.0, 1.0, 0.0), metal::float4(0.0, 0.0, 0.0, 1.0));
    metal::uint2 unnamed = metal::uint2(0u);
    metal::float2x2 unnamed_1 = metal::float2x2(metal::float2(0.0), metal::float2(0.0));
    type_13 unnamed_2 = type_13 {0, 1, 2, 3};
    bool unnamed_3 = static_cast<bool>(false);
    int unnamed_4 = static_cast<int>(0);
    uint unnamed_5 = static_cast<uint>(0u);
    float unnamed_6 = static_cast<float>(0.0);
    metal::uint2 unnamed_7 = static_cast<metal::uint2>(const_type_11_);
    metal::float2x3 unnamed_8 = metal::float2x3(const_type_14_);
    metal::uint2 unnamed_9 = as_type<metal::uint2>(const_type_11_);
    metal::float2x3 unnamed_10 = metal::float2x3(const_type_14_);
    float _e75 = foo.a.x;
    return _e75;
}

void logical(
) {
    bool unnamed_11 = !true;
    metal::bool2 unnamed_12 = !metal::bool2(true);
    bool unnamed_13 = true || false;
    bool unnamed_14 = true && false;
    bool unnamed_15 = true | false;
    metal::bool3 unnamed_16 = metal::bool3(true) | metal::bool3(false);
    bool unnamed_17 = true & false;
    metal::bool4 unnamed_18 = metal::bool4(true) & metal::bool4(false);
}

void arithmetic(
) {
    metal::int2 unnamed_19 = -metal::int2(1);
    metal::float2 unnamed_20 = -metal::float2(1.0);
    int unnamed_21 = 2 + 1;
    uint unnamed_22 = 2u + 1u;
    float unnamed_23 = 2.0 + 1.0;
    metal::int2 unnamed_24 = metal::int2(2) + metal::int2(1);
    metal::uint3 unnamed_25 = metal::uint3(2u) + metal::uint3(1u);
    metal::float4 unnamed_26 = metal::float4(2.0) + metal::float4(1.0);
    int unnamed_27 = 2 - 1;
    uint unnamed_28 = 2u - 1u;
    float unnamed_29 = 2.0 - 1.0;
    metal::int2 unnamed_30 = metal::int2(2) - metal::int2(1);
    metal::uint3 unnamed_31 = metal::uint3(2u) - metal::uint3(1u);
    metal::float4 unnamed_32 = metal::float4(2.0) - metal::float4(1.0);
    int unnamed_33 = 2 * 1;
    uint unnamed_34 = 2u * 1u;
    float unnamed_35 = 2.0 * 1.0;
    metal::int2 unnamed_36 = metal::int2(2) * metal::int2(1);
    metal::uint3 unnamed_37 = metal::uint3(2u) * metal::uint3(1u);
    metal::float4 unnamed_38 = metal::float4(2.0) * metal::float4(1.0);
    int unnamed_39 = 2 / 1;
    uint unnamed_40 = 2u / 1u;
    float unnamed_41 = 2.0 / 1.0;
    metal::int2 unnamed_42 = metal::int2(2) / metal::int2(1);
    metal::uint3 unnamed_43 = metal::uint3(2u) / metal::uint3(1u);
    metal::float4 unnamed_44 = metal::float4(2.0) / metal::float4(1.0);
    int unnamed_45 = 2 % 1;
    uint unnamed_46 = 2u % 1u;
    float unnamed_47 = metal::fmod(2.0, 1.0);
    metal::int2 unnamed_48 = metal::int2(2) % metal::int2(1);
    metal::uint3 unnamed_49 = metal::uint3(2u) % metal::uint3(1u);
    metal::float4 unnamed_50 = metal::fmod(metal::float4(2.0), metal::float4(1.0));
    metal::int2 unnamed_51 = metal::int2(2) + metal::int2(1);
    metal::int2 unnamed_52 = metal::int2(2) + metal::int2(1);
    metal::uint2 unnamed_53 = metal::uint2(2u) + metal::uint2(1u);
    metal::uint2 unnamed_54 = metal::uint2(2u) + metal::uint2(1u);
    metal::float2 unnamed_55 = metal::float2(2.0) + metal::float2(1.0);
    metal::float2 unnamed_56 = metal::float2(2.0) + metal::float2(1.0);
    metal::int2 unnamed_57 = metal::int2(2) - metal::int2(1);
    metal::int2 unnamed_58 = metal::int2(2) - metal::int2(1);
    metal::uint2 unnamed_59 = metal::uint2(2u) - metal::uint2(1u);
    metal::uint2 unnamed_60 = metal::uint2(2u) - metal::uint2(1u);
    metal::float2 unnamed_61 = metal::float2(2.0) - metal::float2(1.0);
    metal::float2 unnamed_62 = metal::float2(2.0) - metal::float2(1.0);
    metal::int2 unnamed_63 = metal::int2(2) * 1;
    metal::int2 unnamed_64 = 2 * metal::int2(1);
    metal::uint2 unnamed_65 = metal::uint2(2u) * 1u;
    metal::uint2 unnamed_66 = 2u * metal::uint2(1u);
    metal::float2 unnamed_67 = metal::float2(2.0) * 1.0;
    metal::float2 unnamed_68 = 2.0 * metal::float2(1.0);
    metal::int2 unnamed_69 = metal::int2(2) / metal::int2(1);
    metal::int2 unnamed_70 = metal::int2(2) / metal::int2(1);
    metal::uint2 unnamed_71 = metal::uint2(2u) / metal::uint2(1u);
    metal::uint2 unnamed_72 = metal::uint2(2u) / metal::uint2(1u);
    metal::float2 unnamed_73 = metal::float2(2.0) / metal::float2(1.0);
    metal::float2 unnamed_74 = metal::float2(2.0) / metal::float2(1.0);
    metal::int2 unnamed_75 = metal::int2(2) % metal::int2(1);
    metal::int2 unnamed_76 = metal::int2(2) % metal::int2(1);
    metal::uint2 unnamed_77 = metal::uint2(2u) % metal::uint2(1u);
    metal::uint2 unnamed_78 = metal::uint2(2u) % metal::uint2(1u);
    metal::float2 unnamed_79 = metal::fmod(metal::float2(2.0), metal::float2(1.0));
    metal::float2 unnamed_80 = metal::fmod(metal::float2(2.0), metal::float2(1.0));
    metal::float3x3 unnamed_81 = const_type_15_ + const_type_15_;
    metal::float3x3 unnamed_82 = const_type_15_ - const_type_15_;
    metal::float3x3 unnamed_83 = const_type_15_ * 1.0;
    metal::float3x3 unnamed_84 = 2.0 * const_type_15_;
    metal::float3 unnamed_85 = const_type_16_ * metal::float4(1.0);
    metal::float4 unnamed_86 = metal::float3(2.0) * const_type_16_;
    metal::float3x3 unnamed_87 = const_type_16_ * const_type_17_;
}

void bit(
) {
    int unnamed_88 = ~1;
    uint unnamed_89 = ~1u;
    metal::int2 unnamed_90 = ~metal::int2(1);
    metal::uint3 unnamed_91 = ~metal::uint3(1u);
    int unnamed_92 = 2 | 1;
    uint unnamed_93 = 2u | 1u;
    metal::int2 unnamed_94 = metal::int2(2) | metal::int2(1);
    metal::uint3 unnamed_95 = metal::uint3(2u) | metal::uint3(1u);
    int unnamed_96 = 2 & 1;
    uint unnamed_97 = 2u & 1u;
    metal::int2 unnamed_98 = metal::int2(2) & metal::int2(1);
    metal::uint3 unnamed_99 = metal::uint3(2u) & metal::uint3(1u);
    int unnamed_100 = 2 ^ 1;
    uint unnamed_101 = 2u ^ 1u;
    metal::int2 unnamed_102 = metal::int2(2) ^ metal::int2(1);
    metal::uint3 unnamed_103 = metal::uint3(2u) ^ metal::uint3(1u);
    int unnamed_104 = 2 << 1u;
    uint unnamed_105 = 2u << 1u;
    metal::int2 unnamed_106 = metal::int2(2) << metal::uint2(1u);
    metal::uint3 unnamed_107 = metal::uint3(2u) << metal::uint3(1u);
    int unnamed_108 = 2 >> 1u;
    uint unnamed_109 = 2u >> 1u;
    metal::int2 unnamed_110 = metal::int2(2) >> metal::uint2(1u);
    metal::uint3 unnamed_111 = metal::uint3(2u) >> metal::uint3(1u);
}

void comparison(
) {
    bool unnamed_112 = 2 == 1;
    bool unnamed_113 = 2u == 1u;
    bool unnamed_114 = 2.0 == 1.0;
    metal::bool2 unnamed_115 = metal::int2(2) == metal::int2(1);
    metal::bool3 unnamed_116 = metal::uint3(2u) == metal::uint3(1u);
    metal::bool4 unnamed_117 = metal::float4(2.0) == metal::float4(1.0);
    bool unnamed_118 = 2 != 1;
    bool unnamed_119 = 2u != 1u;
    bool unnamed_120 = 2.0 != 1.0;
    metal::bool2 unnamed_121 = metal::int2(2) != metal::int2(1);
    metal::bool3 unnamed_122 = metal::uint3(2u) != metal::uint3(1u);
    metal::bool4 unnamed_123 = metal::float4(2.0) != metal::float4(1.0);
    bool unnamed_124 = 2 < 1;
    bool unnamed_125 = 2u < 1u;
    bool unnamed_126 = 2.0 < 1.0;
    metal::bool2 unnamed_127 = metal::int2(2) < metal::int2(1);
    metal::bool3 unnamed_128 = metal::uint3(2u) < metal::uint3(1u);
    metal::bool4 unnamed_129 = metal::float4(2.0) < metal::float4(1.0);
    bool unnamed_130 = 2 <= 1;
    bool unnamed_131 = 2u <= 1u;
    bool unnamed_132 = 2.0 <= 1.0;
    metal::bool2 unnamed_133 = metal::int2(2) <= metal::int2(1);
    metal::bool3 unnamed_134 = metal::uint3(2u) <= metal::uint3(1u);
    metal::bool4 unnamed_135 = metal::float4(2.0) <= metal::float4(1.0);
    bool unnamed_136 = 2 > 1;
    bool unnamed_137 = 2u > 1u;
    bool unnamed_138 = 2.0 > 1.0;
    metal::bool2 unnamed_139 = metal::int2(2) > metal::int2(1);
    metal::bool3 unnamed_140 = metal::uint3(2u) > metal::uint3(1u);
    metal::bool4 unnamed_141 = metal::float4(2.0) > metal::float4(1.0);
    bool unnamed_142 = 2 >= 1;
    bool unnamed_143 = 2u >= 1u;
    bool unnamed_144 = 2.0 >= 1.0;
    metal::bool2 unnamed_145 = metal::int2(2) >= metal::int2(1);
    metal::bool3 unnamed_146 = metal::uint3(2u) >= metal::uint3(1u);
    metal::bool4 unnamed_147 = metal::float4(2.0) >= metal::float4(1.0);
}

void assignment(
) {
    int a_1 = 1;
    metal::int3 vec0_ = const_type_18_;
    int _e6 = a_1;
    a_1 = _e6 + 1;
    int _e9 = a_1;
    a_1 = _e9 - 1;
    int _e12 = a_1;
    int _e13 = a_1;
    a_1 = _e12 * _e13;
    int _e15 = a_1;
    int _e16 = a_1;
    a_1 = _e15 / _e16;
    int _e18 = a_1;
    a_1 = _e18 % 1;
    int _e21 = a_1;
    a_1 = _e21 & 0;
    int _e24 = a_1;
    a_1 = _e24 | 0;
    int _e27 = a_1;
    a_1 = _e27 ^ 0;
    int _e30 = a_1;
    a_1 = _e30 << 2u;
    int _e33 = a_1;
    a_1 = _e33 >> 1u;
    int _e36 = a_1;
    a_1 = _e36 + 1;
    int _e39 = a_1;
    a_1 = _e39 - 1;
    int _e46 = vec0_.y;
    vec0_.y = _e46 + 1;
    int _e51 = vec0_.y;
    vec0_.y = _e51 - 1;
    return;
}

kernel void main_(
) {
    metal::float4 _e4 = builtins();
    metal::float4 _e5 = splat();
    metal::float3 _e7 = bool_cast(v_f32_one.xyz);
    float _e8 = constructors();
    logical();
    arithmetic();
    bit();
    comparison();
    assignment();
    return;
}


================================================
FILE: lib/naga/tests/out/msl/padding.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct S {
    metal::float3 a;
};
struct Test {
    S a;
    float b;
};
struct type_2 {
    metal::float3 inner[2];
};
struct Test2_ {
    type_2 a;
    float b;
};
struct Test3_ {
    metal::float4x3 a;
    float b;
};

struct vertex_Output {
    metal::float4 member [[position]];
};
vertex vertex_Output vertex_(
  constant Test& input1_ [[buffer(0)]]
, constant Test2_& input2_ [[buffer(1)]]
, constant Test3_& input3_ [[buffer(2)]]
) {
    float _e6 = input1_.b;
    float _e9 = input2_.b;
    float _e12 = input3_.b;
    return vertex_Output { ((metal::float4(1.0) * _e6) * _e9) * _e12 };
}


================================================
FILE: lib/naga/tests/out/msl/policy-mix.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct DefaultConstructible {
    template<typename T>
    operator T() && {
        return T {};
    }
};
struct type_1 {
    metal::float4 inner[10];
};
struct InStorage {
    type_1 a;
};
struct type_2 {
    metal::float4 inner[20];
};
struct InUniform {
    type_2 a;
};
struct type_5 {
    float inner[30];
};
struct type_6 {
    float inner[40];
};
struct type_9 {
    metal::float4 inner[2];
};

metal::float4 mock_function(
    metal::int2 c,
    int i,
    int l,
    device InStorage const& in_storage,
    constant InUniform& in_uniform,
    metal::texture2d_array<float, metal::access::sample> image_2d_array,
    threadgroup type_5& in_workgroup,
    thread type_6& in_private
) {
    type_9 in_function = {};
    for(int _i=0; _i<2; ++_i) in_function.inner[_i] = type_9 {metal::float4(0.7070000171661377, 0.0, 0.0, 1.0), metal::float4(0.0, 0.7070000171661377, 0.0, 1.0)}.inner[_i];
    metal::float4 _e22 = in_storage.a.inner[i];
    metal::float4 _e25 = in_uniform.a.inner[i];
    metal::float4 _e27 = (uint(l) < image_2d_array.get_num_mip_levels() && uint(i) < image_2d_array.get_array_size() && metal::all(metal::uint2(c) < metal::uint2(image_2d_array.get_width(l), image_2d_array.get_height(l))) ? image_2d_array.read(metal::uint2(c), i, l): DefaultConstructible());
    float _e30 = in_workgroup.inner[metal::min(unsigned(i), 29u)];
    float _e34 = in_private.inner[metal::min(unsigned(i), 39u)];
    metal::float4 _e38 = in_function.inner[metal::min(unsigned(i), 1u)];
    return ((((_e22 + _e25) + _e27) + metal::float4(_e30)) + metal::float4(_e34)) + _e38;
}


================================================
FILE: lib/naga/tests/out/msl/quad-vert.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct type_5 {
    float inner[1u];
};
struct gl_PerVertex {
    metal::float4 gl_Position;
    float gl_PointSize;
    type_5 gl_ClipDistance;
    type_5 gl_CullDistance;
};
struct type_9 {
    metal::float2 member;
    metal::float4 gl_Position;
};
constant metal::float4 const_type_3_ = {0.0, 0.0, 0.0, 1.0};
constant type_5 const_type_5_ = {0.0};
constant gl_PerVertex const_gl_PerVertex = {const_type_3_, 1.0, const_type_5_, const_type_5_};

void main_1(
    thread metal::float2& v_uv,
    thread metal::float2& a_uv_1,
    thread gl_PerVertex& perVertexStruct,
    thread metal::float2& a_pos_1
) {
    metal::float2 _e12 = a_uv_1;
    v_uv = _e12;
    metal::float2 _e13 = a_pos_1;
    perVertexStruct.gl_Position = metal::float4(_e13.x, _e13.y, 0.0, 1.0);
    return;
}

struct main_Input {
    metal::float2 a_uv [[attribute(1)]];
    metal::float2 a_pos [[attribute(0)]];
};
struct main_Output {
    metal::float2 member [[user(loc0), center_perspective]];
    metal::float4 gl_Position [[position]];
};
vertex main_Output main_(
  main_Input varyings [[stage_in]]
) {
    metal::float2 v_uv = {};
    metal::float2 a_uv_1 = {};
    gl_PerVertex perVertexStruct = const_gl_PerVertex;
    metal::float2 a_pos_1 = {};
    const auto a_uv = varyings.a_uv;
    const auto a_pos = varyings.a_pos;
    a_uv_1 = a_uv;
    a_pos_1 = a_pos;
    main_1(v_uv, a_uv_1, perVertexStruct, a_pos_1);
    metal::float2 _e7 = v_uv;
    metal::float4 _e8 = perVertexStruct.gl_Position;
    const auto _tmp = type_9 {_e7, _e8};
    return main_Output { _tmp.member, _tmp.gl_Position };
}


================================================
FILE: lib/naga/tests/out/msl/quad.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

constexpr constant float c_scale = 1.2000000476837158;
struct VertexOutput {
    metal::float2 uv;
    metal::float4 position;
};

struct vert_mainInput {
    metal::float2 pos [[attribute(0)]];
    metal::float2 uv [[attribute(1)]];
};
struct vert_mainOutput {
    metal::float2 uv [[user(loc0), center_perspective]];
    metal::float4 position [[position]];
};
vertex vert_mainOutput vert_main(
  vert_mainInput varyings [[stage_in]]
) {
    const auto pos = varyings.pos;
    const auto uv = varyings.uv;
    const auto _tmp = VertexOutput {uv, metal::float4(c_scale * pos, 0.0, 1.0)};
    return vert_mainOutput { _tmp.uv, _tmp.position };
}


struct frag_mainInput {
    metal::float2 uv_1 [[user(loc0), center_perspective]];
};
struct frag_mainOutput {
    metal::float4 member_1 [[color(0)]];
};
fragment frag_mainOutput frag_main(
  frag_mainInput varyings_1 [[stage_in]]
, metal::texture2d<float, metal::access::sample> u_texture [[user(fake0)]]
, metal::sampler u_sampler [[user(fake0)]]
) {
    const auto uv_1 = varyings_1.uv_1;
    metal::float4 color = u_texture.sample(u_sampler, uv_1);
    if (color.w == 0.0) {
        metal::discard_fragment();
    }
    metal::float4 premultiplied = color.w * color;
    return frag_mainOutput { premultiplied };
}


struct fs_extraOutput {
    metal::float4 member_2 [[color(0)]];
};
fragment fs_extraOutput fs_extra(
) {
    return fs_extraOutput { metal::float4(0.0, 0.5, 0.0, 0.5) };
}


================================================
FILE: lib/naga/tests/out/msl/shadow.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct _mslBufferSizes {
    uint size2;
};

constexpr constant unsigned c_max_lights = 10u;
struct Globals {
    metal::float4x4 view_proj;
    metal::uint4 num_lights;
};
struct Entity {
    metal::float4x4 world;
    metal::float4 color;
};
struct VertexOutput {
    metal::float4 proj_position;
    metal::float3 world_normal;
    metal::float4 world_position;
};
struct Light {
    metal::float4x4 proj;
    metal::float4 pos;
    metal::float4 color;
};
typedef Light type_6[1];
struct type_7 {
    Light inner[10];
};
constant metal::float3 c_ambient = {0.05000000074505806, 0.05000000074505806, 0.05000000074505806};

float fetch_shadow(
    uint light_id,
    metal::float4 homogeneous_coords,
    metal::depth2d_array<float, metal::access::sample> t_shadow,
    metal::sampler sampler_shadow
) {
    if (homogeneous_coords.w <= 0.0) {
        return 1.0;
    }
    metal::float2 flip_correction = metal::float2(0.5, -0.5);
    float proj_correction = 1.0 / homogeneous_coords.w;
    metal::float2 light_local = ((homogeneous_coords.xy * flip_correction) * proj_correction) + metal::float2(0.5, 0.5);
    float _e28 = t_shadow.sample_compare(sampler_shadow, light_local, static_cast<int>(light_id), homogeneous_coords.z * proj_correction);
    return _e28;
}

struct vs_mainInput {
    metal::int4 position [[attribute(0)]];
    metal::int4 normal [[attribute(1)]];
};
struct vs_mainOutput {
    metal::float4 proj_position [[position]];
    metal::float3 world_normal [[user(loc0), center_perspective]];
    metal::float4 world_position [[user(loc1), center_perspective]];
};
vertex vs_mainOutput vs_main(
  vs_mainInput varyings [[stage_in]]
, constant Globals& u_globals [[user(fake0)]]
, constant Entity& u_entity [[user(fake0)]]
) {
    const auto position = varyings.position;
    const auto normal = varyings.normal;
    VertexOutput out = {};
    metal::float4x4 w = u_entity.world;
    metal::float4x4 _e7 = u_entity.world;
    metal::float4 world_pos = _e7 * static_cast<metal::float4>(position);
    out.world_normal = metal::float3x3(w[0].xyz, w[1].xyz, w[2].xyz) * static_cast<metal::float3>(normal.xyz);
    out.world_position = world_pos;
    metal::float4x4 _e25 = u_globals.view_proj;
    out.proj_position = _e25 * world_pos;
    VertexOutput _e27 = out;
    const auto _tmp = _e27;
    return vs_mainOutput { _tmp.proj_position, _tmp.world_normal, _tmp.world_position };
}


struct fs_mainInput {
    metal::float3 world_normal [[user(loc0), center_perspective]];
    metal::float4 world_position [[user(loc1), center_perspective]];
};
struct fs_mainOutput {
    metal::float4 member_1 [[color(0)]];
};
fragment fs_mainOutput fs_main(
  fs_mainInput varyings_1 [[stage_in]]
, metal::float4 proj_position [[position]]
, constant Globals& u_globals [[user(fake0)]]
, constant Entity& u_entity [[user(fake0)]]
, device type_6 const& s_lights [[user(fake0)]]
, metal::depth2d_array<float, metal::access::sample> t_shadow [[user(fake0)]]
, metal::sampler sampler_shadow [[user(fake0)]]
, constant _mslBufferSizes& _buffer_sizes [[user(fake0)]]
) {
    const VertexOutput in = { proj_position, varyings_1.world_normal, varyings_1.world_position };
    metal::float3 color = c_ambient;
    uint i = 0u;
    metal::float3 normal_1 = metal::normalize(in.world_normal);
    bool loop_init = true;
    while(true) {
        if (!loop_init) {
            uint _e20 = i;
            i = _e20 + 1u;
        }
        loop_init = false;
        uint _e14 = i;
        uint _e17 = u_globals.num_lights.x;
        if (_e14 < metal::min(_e17, c_max_lights)) {
        } else {
            break;
        }
        uint _e23 = i;
        Light light = s_lights[_e23];
        uint _e26 = i;
        float _e30 = fetch_shadow(_e26, light.proj * in.world_position, t_shadow, sampler_shadow);
        metal::float3 light_dir = metal::normalize(light.pos.xyz - in.world_position.xyz);
        float diffuse = metal::max(0.0, metal::dot(normal_1, light_dir));
        metal::float3 _e40 = color;
        color = _e40 + ((_e30 * diffuse) * light.color.xyz);
    }
    metal::float3 _e46 = color;
    metal::float4 _e50 = u_entity.color;
    return fs_mainOutput { metal::float4(_e46, 1.0) * _e50 };
}


struct fs_main_without_storageInput {
    metal::float3 world_normal [[user(loc0), center_perspective]];
    metal::float4 world_position [[user(loc1), center_perspective]];
};
struct fs_main_without_storageOutput {
    metal::float4 member_2 [[color(0)]];
};
fragment fs_main_without_storageOutput fs_main_without_storage(
  fs_main_without_storageInput varyings_2 [[stage_in]]
, metal::float4 proj_position_1 [[position]]
, constant Globals& u_globals [[user(fake0)]]
, constant Entity& u_entity [[user(fake0)]]
, constant type_7& u_lights [[user(fake0)]]
, metal::depth2d_array<float, metal::access::sample> t_shadow [[user(fake0)]]
, metal::sampler sampler_shadow [[user(fake0)]]
) {
    const VertexOutput in_1 = { proj_position_1, varyings_2.world_normal, varyings_2.world_position };
    metal::float3 color_1 = c_ambient;
    uint i_1 = 0u;
    metal::float3 normal_2 = metal::normalize(in_1.world_normal);
    bool loop_init_1 = true;
    while(true) {
        if (!loop_init_1) {
            uint _e20 = i_1;
            i_1 = _e20 + 1u;
        }
        loop_init_1 = false;
        uint _e14 = i_1;
        uint _e17 = u_globals.num_lights.x;
        if (_e14 < metal::min(_e17, c_max_lights)) {
        } else {
            break;
        }
        uint _e23 = i_1;
        Light light_1 = u_lights.inner[_e23];
        uint _e26 = i_1;
        float _e30 = fetch_shadow(_e26, light_1.proj * in_1.world_position, t_shadow, sampler_shadow);
        metal::float3 light_dir_1 = metal::normalize(light_1.pos.xyz - in_1.world_position.xyz);
        float diffuse_1 = metal::max(0.0, metal::dot(normal_2, light_dir_1));
        metal::float3 _e40 = color_1;
        color_1 = _e40 + ((_e30 * diffuse_1) * light_1.color.xyz);
    }
    metal::float3 _e46 = color_1;
    metal::float4 _e50 = u_entity.color;
    return fs_main_without_storageOutput { metal::float4(_e46, 1.0) * _e50 };
}


================================================
FILE: lib/naga/tests/out/msl/skybox.msl
================================================
// language: metal2.1
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;

struct VertexOutput {
    metal::float4 position;
    metal::float3 uv;
};
struct Data {
    metal::float4x4 proj_inv;
    metal::float4x4 view;
};

struct vs_mainInput {
};
struct vs_mainOutput {
    metal::float4 position [[position]];
    metal::float3 uv [[user(loc0), center_perspective]];
};
vertex vs_mainOutput vs_main(
  uint vertex_index [[vertex_id]]
, constant Data& r_data [[buffer(0)]]
) {
    int tmp1_ = {};
    int tmp2_ = {};
    tmp1_ = static_cast<int>(vertex_index) / 2;
    tmp2_ = static_cast<int>(vertex_index) & 1;
    int _e10 = tmp1_;
    int _e16 = tmp2_;
    metal::float4 pos = metal::float4((static_cast<float>(_e10) * 4.0) - 1.0, (static_cast<float>(_e16) * 4.0) - 1.0, 0.0, 1.0);
    metal::float4 _e27 = r_data.view[0];
    metal::float4 _e31 = r_data.view[1];
    metal::float4 _e35 = r_data.view[2];
    metal::float3x3 inv_model_view = metal::transpose(metal::float3x3(_e27.xyz, _e31.xyz, _e35.xyz));
    metal::float4x4 _e40 = r_data.proj_inv;
    metal::float4 unprojected = _e40 * pos;
    const auto _tmp = VertexOutput {pos, inv_model_view * unprojected.xyz};
    return vs_mainOutput { _tmp.position, _tmp.uv };
}


struct fs_mainInput {
    metal::float3 uv [[user(loc0), center_perspective]];
};
struct fs_mainOutput {
    metal::float4 member_1 [[color(0)]];
};
fragment fs_mainOutput fs_main(
  fs_mainInput varyings_1 [[stage_in]]
, metal::float4 position [[position]]
, metal::texturecube<float, metal::access::sample> r_texture [[texture(0)]]
) {
    constexpr metal::sampler r_sampler(
        metal::s_address::clamp_to_edge,
        metal::t_address::clamp_to_edge,
        metal::r_address::clamp_to_edge,
        metal::mag_filter::linear,
        metal::min_filter::linear,
        metal::coord::normalized
    );
    const VertexOutput in = { position, varyings_1.uv };
    metal::float4 _e5 = r_texture.sample(r_sampler, in.uv);
    return fs_mainOutput { _e5 };
}


================================================
FILE: lib/naga/tests/out/msl/standard.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;


struct derivativesInput {
};
struct derivativesOutput {
    metal::float4 member [[color(0)]];
};
fragment derivativesOutput derivatives(
  metal::float4 foo [[position]]
) {
    metal::float4 x = metal::dfdx(foo);
    metal::float4 y = metal::dfdy(foo);
    metal::float4 z = metal::fwidth(foo);
    return derivativesOutput { (x + y) * z };
}


================================================
FILE: lib/naga/tests/out/msl/texture-arg.msl
================================================
// language: metal2.0
#include <metal_stdlib>
#include <simd/simd.h>

using metal::uint;


metal::float4 test(
    metal::texture2d<float, metal::access::sample> Passed_Texture,
    metal::sampler Passed_Sampler
) {
    metal::float4 _e7 = Passed_Texture.sample(Passed_Sampler, metal::float2(0.0, 0.0));
    return _e7;
}

struct main_Output {
    metal::float4 member [[color(0)]];
};
fragment main_Output main_(
  metal::texture2d<float, metal::access::sample> Texture [[user(fake0)]]
, metal::sampler Sampler [[user(fake0)]]
) {
    metal::float4 _e2 = test(Texture, Sampler);
    return main_Output { _e2 };
}


================================================
FILE: lib/naga/tests/out/spv/access.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 320
OpCapability Shader
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %233 "foo_vert" %228 %231
OpEntryPoint Fragment %274 "foo_frag" %273
OpEntryPoint GLCompute %293 "atomics"
OpEntryPoint GLCompute %317 "assign_through_ptr"
OpExecutionMode %274 OriginUpperLeft
OpExecutionMode %293 LocalSize 1 1 1
OpExecutionMode %317 LocalSize 1 1 1
OpSource GLSL 450
OpMemberName %36 0 "a"
OpMemberName %36 1 "b"
OpMemberName %36 2 "c"
OpName %36 "GlobalConst"
OpMemberName %37 0 "value"
OpName %37 "AlignedWrapper"
OpMemberName %46 0 "_matrix"
OpMemberName %46 1 "matrix_array"
OpMemberName %46 2 "atom"
OpMemberName %46 3 "arr"
OpMemberName %46 4 "data"
OpName %46 "Bar"
OpMemberName %48 0 "m"
OpName %48 "Baz"
OpMemberName %52 0 "am"
OpName %52 "MatCx2InArray"
OpName %68 "global_const"
OpName %70 "bar"
OpName %72 "baz"
OpName %75 "qux"
OpName %78 "nested_mat_cx2"
OpName %81 "val"
OpName %82 "idx"
OpName %84 "t"
OpName %88 "test_matrix_within_struct_accesses"
OpName %146 "idx"
OpName %147 "t"
OpName %151 "test_matrix_within_array_within_struct_accesses"
OpName %206 "foo"
OpName %207 "read_from_private"
OpName %212 "a"
OpName %213 "test_arr_as_arg"
OpName %219 "p"
OpName %220 "assign_through_ptr_fn"
OpName %223 "foo"
OpName %224 "c"
OpName %228 "vi"
OpName %233 "foo_vert"
OpName %274 "foo_frag"
OpName %290 "tmp"
OpName %293 "atomics"
OpName %317 "assign_through_ptr"
OpMemberDecorate %36 0 Offset 0
OpMemberDecorate %36 1 Offset 16
OpMemberDecorate %36 2 Offset 28
OpMemberDecorate %37 0 Offset 0
OpDecorate %42 ArrayStride 16
OpDecorate %44 ArrayStride 8
OpDecorate %45 ArrayStride 8
OpMemberDecorate %46 0 Offset 0
OpMemberDecorate %46 0 ColMajor
OpMemberDecorate %46 0 MatrixStride 16
OpMemberDecorate %46 1 Offset 64
OpMemberDecorate %46 1 ColMajor
OpMemberDecorate %46 1 MatrixStride 8
OpMemberDecorate %46 2 Offset 96
OpMemberDecorate %46 3 Offset 104
OpMemberDecorate %46 4 Offset 120
OpMemberDecorate %48 0 Offset 0
OpMemberDecorate %48 0 ColMajor
OpMemberDecorate %48 0 MatrixStride 8
OpDecorate %51 ArrayStride 32
OpMemberDecorate %52 0 Offset 0
OpMemberDecorate %52 0 ColMajor
OpMemberDecorate %52 0 MatrixStride 8
OpDecorate %54 ArrayStride 4
OpDecorate %55 ArrayStride 40
OpDecorate %58 ArrayStride 4
OpDecorate %70 DescriptorSet 0
OpDecorate %70 Binding 0
OpDecorate %46 Block
OpDecorate %72 DescriptorSet 0
OpDecorate %72 Binding 1
OpDecorate %73 Block
OpMemberDecorate %73 0 Offset 0
OpDecorate %75 DescriptorSet 0
OpDecorate %75 Binding 2
OpDecorate %76 Block
OpMemberDecorate %76 0 Offset 0
OpDecorate %78 DescriptorSet 0
OpDecorate %78 Binding 3
OpDecorate %79 Block
OpMemberDecorate %79 0 Offset 0
OpDecorate %228 BuiltIn VertexIndex
OpDecorate %231 BuiltIn Position
OpDecorate %273 Location 0
%2 = OpTypeVoid
%4 = OpTypeInt 32 0
%3 = OpConstant  %4  0
%6 = OpTypeInt 32 1
%5 = OpConstant  %6  0
%7 = OpConstant  %6  2
%8 = OpConstant  %6  1
%10 = OpTypeFloat 32
%9 = OpConstant  %10  1.0
%11 = OpConstant  %10  2.0
%12 = OpConstant  %10  3.0
%13 = OpConstant  %10  6.0
%14 = OpConstant  %10  5.0
%15 = OpConstant  %10  4.0
%16 = OpConstant  %10  9.0
%17 = OpConstant  %10  90.0
%18 = OpConstant  %10  10.0
%19 = OpConstant  %10  20.0
%20 = OpConstant  %10  30.0
%21 = OpConstant  %10  40.0
%22 = OpConstant  %10  0.0
%23 = OpConstant  %10  8.0
%24 = OpConstant  %10  7.0
%25 = OpConstant  %6  10
%26 = OpConstant  %6  5
%27 = OpConstant  %6  4
%28 = OpConstant  %6  9
%29 = OpConstant  %4  3
%30 = OpConstant  %4  2
%31 = OpConstant  %6  3
%32 = OpConstant  %4  1
%33 = OpConstant  %6  42
%34 = OpConstant  %4  42
%35 = OpTypeVector %4 3
%36 = OpTypeStruct %4 %35 %6
%37 = OpTypeStruct %6
%39 = OpTypeVector %10 3
%38 = OpTypeMatrix %39 4
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%40 = OpTypeMatrix %41 2
%42 = OpTypeArray %40 %7
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%44 = OpTypeArray %43 %7
%45 = OpTypeRuntimeArray %37
%46 = OpTypeStruct %38 %42 %6 %44 %45
%47 = OpTypeMatrix %41 3
%48 = OpTypeStruct %47
%49 = OpTypeVector %6 2
%50 = OpTypeMatrix %41 4
%51 = OpTypeArray %50 %7
%52 = OpTypeStruct %51
%53 = OpTypePointer Function %10
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%55 = OpTypeArray %54 %26
%56 = OpTypeVector %10 4
%57 = OpTypePointer StorageBuffer %6
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%59 = OpTypePointer Workgroup %4
%60 = OpConstantComposite  %35  %3 %3 %3
%61 = OpConstantComposite  %36  %3 %60 %5
%62 = OpConstantComposite  %41  %22 %22
%63 = OpConstantComposite  %50  %62 %62 %62 %62
%64 = OpConstantComposite  %51  %63 %63
%65 = OpConstantComposite  %54  %22 %22 %22 %22 %22 %22 %22 %22 %22 %22
%66 = OpConstantComposite  %55  %65 %65 %65 %65 %65
%67 = OpConstantComposite  %49  %5 %5
%69 = OpTypePointer Private %36
%68 = OpVariable  %69  Private %61
%71 = OpTypePointer StorageBuffer %46
%70 = OpVariable  %71  StorageBuffer
%73 = OpTypeStruct %48
%74 = OpTypePointer Uniform %73
%72 = OpVariable  %74  Uniform
%76 = OpTypeStruct %49
%77 = OpTypePointer StorageBuffer %76
%75 = OpVariable  %77  StorageBuffer
%79 = OpTypeStruct %52
%80 = OpTypePointer Uniform %79
%78 = OpVariable  %80  Uniform
%81 = OpVariable  %59  Workgroup
%83 = OpTypePointer Function %6
%85 = OpTypePointer Function %48
%86 = OpConstantNull  %48
%89 = OpTypeFunction %2
%90 = OpTypePointer Uniform %48
%92 = OpTypePointer StorageBuffer %49
%96 = OpTypePointer Uniform %47
%99 = OpTypePointer Uniform %41
%105 = OpTypePointer Uniform %10
%125 = OpTypePointer Function %47
%131 = OpTypePointer Function %41
%137 = OpTypePointer Function %10
%148 = OpTypePointer Function %52
%149 = OpConstantNull  %52
%152 = OpTypePointer Uniform %52
%157 = OpTypePointer Uniform %51
%160 = OpTypePointer Uniform %50
%183 = OpTypePointer Function %51
%185 = OpTypePointer Function %50
%208 = OpTypeFunction %10 %53
%214 = OpTypeFunction %10 %55
%221 = OpTypeFunction %2 %59
%225 = OpTypePointer Function %58
%226 = OpConstantNull  %58
%229 = OpTypePointer Input %4
%228 = OpVariable  %229  Input
%232 = OpTypePointer Output %56
%231 = OpVariable  %232  Output
%241 = OpTypePointer StorageBuffer %38
%244 = OpTypePointer StorageBuffer %44
%247 = OpTypePointer StorageBuffer %39
%248 = OpTypePointer StorageBuffer %10
%251 = OpTypePointer StorageBuffer %45
%254 = OpTypePointer StorageBuffer %37
%255 = OpConstant  %4  4
%267 = OpTypeVector %6 4
%273 = OpVariable  %232  Output
%291 = OpConstantNull  %6
%295 = OpTypePointer StorageBuffer %6
%298 = OpConstant  %4  64
%88 = OpFunction  %2  None %89
%87 = OpLabel
%82 = OpVariable  %83  Function %8
%84 = OpVariable  %85  Function %86
%91 = OpAccessChain  %90  %72 %3
OpBranch %93
%93 = OpLabel
%94 = OpLoad  %6  %82
%95 = OpISub  %6  %94 %8
OpStore %82 %95
%97 = OpAccessChain  %96  %91 %3
%98 = OpLoad  %47  %97
%100 = OpAccessChain  %99  %91 %3 %3
%101 = OpLoad  %41  %100
%102 = OpLoad  %6  %82
%103 = OpAccessChain  %99  %91 %3 %102
%104 = OpLoad  %41  %103
%106 = OpAccessChain  %105  %91 %3 %3 %32
%107 = OpLoad  %10  %106
%108 = OpLoad  %6  %82
%109 = OpAccessChain  %105  %91 %3 %3 %108
%110 = OpLoad  %10  %109
%111 = OpLoad  %6  %82
%112 = OpAccessChain  %105  %91 %3 %111 %32
%113 = OpLoad  %10  %112
%114 = OpLoad  %6  %82
%115 = OpLoad  %6  %82
%116 = OpAccessChain  %105  %91 %3 %114 %115
%117 = OpLoad  %10  %116
%118 = OpCompositeConstruct  %41  %9 %9
%119 = OpCompositeConstruct  %41  %11 %11
%120 = OpCompositeConstruct  %41  %12 %12
%121 = OpCompositeConstruct  %47  %118 %119 %120
%122 = OpCompositeConstruct  %48  %121
OpStore %84 %122
%123 = OpLoad  %6  %82
%124 = OpIAdd  %6  %123 %8
OpStore %82 %124
%126 = OpCompositeConstruct  %41  %13 %13
%127 = OpCompositeConstruct  %41  %14 %14
%128 = OpCompositeConstruct  %41  %15 %15
%129 = OpCompositeConstruct  %47  %126 %127 %128
%130 = OpAccessChain  %125  %84 %3
OpStore %130 %129
%132 = OpCompositeConstruct  %41  %16 %16
%133 = OpAccessChain  %131  %84 %3 %3
OpStore %133 %132
%134 = OpLoad  %6  %82
%135 = OpCompositeConstruct  %41  %17 %17
%136 = OpAccessChain  %131  %84 %3 %134
OpStore %136 %135
%138 = OpAccessChain  %137  %84 %3 %3 %32
OpStore %138 %18
%139 = OpLoad  %6  %82
%140 = OpAccessChain  %137  %84 %3 %3 %139
OpStore %140 %19
%141 = OpLoad  %6  %82
%142 = OpAccessChain  %137  %84 %3 %141 %32
OpStore %142 %20
%143 = OpLoad  %6  %82
%144 = OpLoad  %6  %82
%145 = OpAccessChain  %137  %84 %3 %143 %144
OpStore %145 %21
OpReturn
OpFunctionEnd
%151 = OpFunction  %2  None %89
%150 = OpLabel
%146 = OpVariable  %83  Function %8
%147 = OpVariable  %148  Function %149
%153 = OpAccessChain  %152  %78 %3
OpBranch %154
%154 = OpLabel
%155 = OpLoad  %6  %146
%156 = OpISub  %6  %155 %8
OpStore %146 %156
%158 = OpAccessChain  %157  %153 %3
%159 = OpLoad  %51  %158
%161 = OpAccessChain  %160  %153 %3 %3
%162 = OpLoad  %50  %161
%163 = OpAccessChain  %99  %153 %3 %3 %3
%164 = OpLoad  %41  %163
%165 = OpLoad  %6  %146
%166 = OpAccessChain  %99  %153 %3 %3 %165
%167 = OpLoad  %41  %166
%168 = OpAccessChain  %105  %153 %3 %3 %3 %32
%169 = OpLoad  %10  %168
%170 = OpLoad  %6  %146
%171 = OpAccessChain  %105  %153 %3 %3 %3 %170
%172 = OpLoad  %10  %171
%173 = OpLoad  %6  %146
%174 = OpAccessChain  %105  %153 %3 %3 %173 %32
%175 = OpLoad  %10  %174
%176 = OpLoad  %6  %146
%177 = OpLoad  %6  %146
%178 = OpAccessChain  %105  %153 %3 %3 %176 %177
%179 = OpLoad  %10  %178
%180 = OpCompositeConstruct  %52  %64
OpStore %147 %180
%181 = OpLoad  %6  %146
%182 = OpIAdd  %6  %181 %8
OpStore %146 %182
%184 = OpAccessChain  %183  %147 %3
OpStore %184 %64
%186 = OpCompositeConstruct  %41  %23 %23
%187 = OpCompositeConstruct  %41  %24 %24
%188 = OpCompositeConstruct  %41  %13 %13
%189 = OpCompositeConstruct  %41  %14 %14
%190 = OpCompositeConstruct  %50  %186 %187 %188 %189
%191 = OpAccessChain  %185  %147 %3 %3
OpStore %191 %190
%192 = OpCompositeConstruct  %41  %16 %16
%193 = OpAccessChain  %131  %147 %3 %3 %3
OpStore %193 %192
%194 = OpLoad  %6  %146
%195 = OpCompositeConstruct  %41  %17 %17
%196 = OpAccessChain  %131  %147 %3 %3 %194
OpStore %196 %195
%197 = OpAccessChain  %137  %147 %3 %3 %3 %32
OpStore %197 %18
%198 = OpLoad  %6  %146
%199 = OpAccessChain  %137  %147 %3 %3 %3 %198
OpStore %199 %19
%200 = OpLoad  %6  %146
%201 = OpAccessChain  %137  %147 %3 %3 %200 %32
OpStore %201 %20
%202 = OpLoad  %6  %146
%203 = OpLoad  %6  %146
%204 = OpAccessChain  %137  %147 %3 %3 %202 %203
OpStore %204 %21
OpReturn
OpFunctionEnd
%207 = OpFunction  %10  None %208
%206 = OpFunctionParameter  %53
%205 = OpLabel
OpBranch %209
%209 = OpLabel
%210 = OpLoad  %10  %206
OpReturnValue %210
OpFunctionEnd
%213 = OpFunction  %10  None %214
%212 = OpFunctionParameter  %55
%211 = OpLabel
OpBranch %215
%215 = OpLabel
%216 = OpCompositeExtract  %54  %212 4
%217 = OpCompositeExtract  %10  %216 9
OpReturnValue %217
OpFunctionEnd
%220 = OpFunction  %2  None %221
%219 = OpFunctionParameter  %59
%218 = OpLabel
OpBranch %222
%222 = OpLabel
OpStore %219 %34
OpReturn
OpFunctionEnd
%233 = OpFunction  %2  None %89
%227 = OpLabel
%223 = OpVariable  %53  Function %22
%224 = OpVariable  %225  Function %226
%230 = OpLoad  %4  %228
%234 = OpAccessChain  %90  %72 %3
%235 = OpAccessChain  %92  %75 %3
%236 = OpAccessChain  %152  %78 %3
OpBranch %237
%237 = OpLabel
%238 = OpLoad  %10  %223
OpStore %223 %9
%239 = OpFunctionCall  %2  %88
%240 = OpFunctionCall  %2  %151
%242 = OpAccessChain  %241  %70 %3
%243 = OpLoad  %38  %242
%245 = OpAccessChain  %244  %70 %29
%246 = OpLoad  %44  %245
%249 = OpAccessChain  %248  %70 %3 %29 %3
%250 = OpLoad  %10  %249
%252 = OpArrayLength  %4  %70 4
%253 = OpISub  %4  %252 %30
%256 = OpAccessChain  %57  %70 %255 %253 %3
%257 = OpLoad  %6  %256
%258 = OpLoad  %49  %235
%259 = OpFunctionCall  %10  %207 %223
%260 = OpConvertFToS  %6  %250
%261 = OpCompositeConstruct  %58  %257 %260 %31 %27 %26
OpStore %224 %261
%262 = OpIAdd  %4  %230 %32
%263 = OpAccessChain  %83  %224 %262
OpStore %263 %33
%264 = OpAccessChain  %83  %224 %230
%265 = OpLoad  %6  %264
%266 = OpFunctionCall  %10  %213 %66
%268 = OpCompositeConstruct  %267  %265 %265 %265 %265
%269 = OpConvertSToF  %56  %268
%270 = OpMatrixTimesVector  %39  %243 %269
%271 = OpCompositeConstruct  %56  %270 %11
OpStore %231 %271
OpReturn
OpFunctionEnd
%274 = OpFunction  %2  None %89
%272 = OpLabel
%275 = OpAccessChain  %92  %75 %3
OpBranch %276
%276 = OpLabel
%277 = OpAccessChain  %248  %70 %3 %32 %30
OpStore %277 %9
%278 = OpCompositeConstruct  %39  %22 %22 %22
%279 = OpCompositeConstruct  %39  %9 %9 %9
%280 = OpCompositeConstruct  %39  %11 %11 %11
%281 = OpCompositeConstruct  %39  %12 %12 %12
%282 = OpCompositeConstruct  %38  %278 %279 %280 %281
%283 = OpAccessChain  %241  %70 %3
OpStore %283 %282
%284 = OpCompositeConstruct  %43  %3 %3
%285 = OpCompositeConstruct  %43  %32 %32
%286 = OpCompositeConstruct  %44  %284 %285
%287 = OpAccessChain  %244  %70 %29
OpStore %287 %286
%288 = OpAccessChain  %57  %70 %255 %32 %3
OpStore %288 %8
OpStore %275 %67
%289 = OpCompositeConstruct  %56  %22 %22 %22 %22
OpStore %273 %289
OpReturn
OpFunctionEnd
%293 = OpFunction  %2  None %89
%292 = OpLabel
%290 = OpVariable  %83  Function %291
OpBranch %294
%294 = OpLabel
%296 = OpAccessChain  %295  %70 %30
%297 = OpAtomicLoad  %6  %296 %8 %298
%300 = OpAccessChain  %295  %70 %30
%299 = OpAtomicIAdd  %6  %300 %8 %298 %26
OpStore %290 %299
%302 = OpAccessChain  %295  %70 %30
%301 = OpAtomicISub  %6  %302 %8 %298 %26
OpStore %290 %301
%304 = OpAccessChain  %295  %70 %30
%303 = OpAtomicAnd  %6  %304 %8 %298 %26
OpStore %290 %303
%306 = OpAccessChain  %295  %70 %30
%305 = OpAtomicOr  %6  %306 %8 %298 %26
OpStore %290 %305
%308 = OpAccessChain  %295  %70 %30
%307 = OpAtomicXor  %6  %308 %8 %298 %26
OpStore %290 %307
%310 = OpAccessChain  %295  %70 %30
%309 = OpAtomicSMin  %6  %310 %8 %298 %26
OpStore %290 %309
%312 = OpAccessChain  %295  %70 %30
%311 = OpAtomicSMax  %6  %312 %8 %298 %26
OpStore %290 %311
%314 = OpAccessChain  %295  %70 %30
%313 = OpAtomicExchange  %6  %314 %8 %298 %26
OpStore %290 %313
%315 = OpAccessChain  %295  %70 %30
OpAtomicStore %315 %8 %298 %297
OpReturn
OpFunctionEnd
%317 = OpFunction  %2  None %89
%316 = OpLabel
OpBranch %318
%318 = OpLabel
%319 = OpFunctionCall  %2  %220 %81
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/binding-arrays.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 431
OpCapability Shader
OpCapability ImageQuery
OpCapability ShaderNonUniform
OpExtension "SPV_EXT_descriptor_indexing"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Fragment %65 "main" %60 %63
OpExecutionMode %65 OriginUpperLeft
OpMemberDecorate %9 0 Offset 0
OpMemberDecorate %24 0 Offset 0
OpDecorate %27 DescriptorSet 0
OpDecorate %27 Binding 0
OpDecorate %31 DescriptorSet 0
OpDecorate %31 Binding 1
OpDecorate %33 DescriptorSet 0
OpDecorate %33 Binding 2
OpDecorate %35 DescriptorSet 0
OpDecorate %35 Binding 3
OpDecorate %37 DescriptorSet 0
OpDecorate %37 Binding 4
OpDecorate %39 DescriptorSet 0
OpDecorate %39 Binding 5
OpDecorate %41 DescriptorSet 0
OpDecorate %41 Binding 6
OpDecorate %43 DescriptorSet 0
OpDecorate %43 Binding 7
OpDecorate %45 DescriptorSet 0
OpDecorate %45 Binding 8
OpDecorate %46 Block
OpMemberDecorate %46 0 Offset 0
OpDecorate %60 Location 0
OpDecorate %60 Flat
OpDecorate %63 Location 0
OpDecorate %93 NonUniform
OpDecorate %116 NonUniform
OpDecorate %118 NonUniform
OpDecorate %143 NonUniform
OpDecorate %145 NonUniform
OpDecorate %183 NonUniform
OpDecorate %212 NonUniform
OpDecorate %228 NonUniform
OpDecorate %244 NonUniform
OpDecorate %265 NonUniform
OpDecorate %267 NonUniform
OpDecorate %289 NonUniform
OpDecorate %291 NonUniform
OpDecorate %313 NonUniform
OpDecorate %315 NonUniform
OpDecorate %337 NonUniform
OpDecorate %339 NonUniform
OpDecorate %361 NonUniform
OpDecorate %363 NonUniform
OpDecorate %385 NonUniform
OpDecorate %387 NonUniform
OpDecorate %409 NonUniform
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  5
%5 = OpConstant  %4  0
%7 = OpTypeFloat 32
%6 = OpConstant  %7  0.0
%8 = OpTypeInt 32 0
%9 = OpTypeStruct %8
%10 = OpTypeImage %7 2D 0 0 0 1 Unknown
%11 = OpTypeRuntimeArray %10
%12 = OpTypeArray %10 %3
%13 = OpTypeImage %7 2D 0 1 0 1 Unknown
%14 = OpTypeArray %13 %3
%15 = OpTypeImage %7 2D 0 0 1 1 Unknown
%16 = OpTypeArray %15 %3
%17 = OpTypeImage %7 2D 1 0 0 1 Unknown
%18 = OpTypeArray %17 %3
%19 = OpTypeImage %7 2D 0 0 0 2 Rgba32f
%20 = OpTypeArray %19 %3
%21 = OpTypeSampler
%22 = OpTypeArray %21 %3
%23 = OpTypeArray %21 %3
%24 = OpTypeStruct %8
%25 = OpTypeVector %7 4
%26 = OpTypeVector %4 2
%30 = OpConstant  %8  10
%29 = OpTypeArray %10 %30
%28 = OpTypePointer UniformConstant %29
%27 = OpVariable  %28  UniformConstant
%32 = OpTypePointer UniformConstant %12
%31 = OpVariable  %32  UniformConstant
%34 = OpTypePointer UniformConstant %14
%33 = OpVariable  %34  UniformConstant
%36 = OpTypePointer UniformConstant %16
%35 = OpVariable  %36  UniformConstant
%38 = OpTypePointer UniformConstant %18
%37 = OpVariable  %38  UniformConstant
%40 = OpTypePointer UniformConstant %20
%39 = OpVariable  %40  UniformConstant
%42 = OpTypePointer UniformConstant %22
%41 = OpVariable  %42  UniformConstant
%44 = OpTypePointer UniformConstant %23
%43 = OpVariable  %44  UniformConstant
%46 = OpTypeStruct %9
%47 = OpTypePointer Uniform %46
%45 = OpVariable  %47  Uniform
%49 = OpTypePointer Function %4
%51 = OpTypePointer Function %26
%52 = OpConstantNull  %26
%54 = OpTypePointer Function %7
%56 = OpTypePointer Function %25
%57 = OpConstantNull  %25
%61 = OpTypePointer Input %8
%60 = OpVariable  %61  Input
%64 = OpTypePointer Output %25
%63 = OpVariable  %64  Output
%66 = OpTypeFunction %2
%67 = OpTypePointer Uniform %9
%68 = OpConstant  %8  0
%71 = OpTypePointer Uniform %8
%77 = OpTypeVector %7 2
%81 = OpTypePointer UniformConstant %10
%99 = OpTypePointer UniformConstant %21
%102 = OpTypeSampledImage %10
%123 = OpTypePointer UniformConstant %17
%126 = OpTypePointer UniformConstant %21
%129 = OpTypeSampledImage %17
%152 = OpTypeBool
%153 = OpConstantNull  %25
%159 = OpTypeVector %152 2
%169 = OpConstantNull  %25
%184 = OpConstantNull  %25
%197 = OpTypePointer UniformConstant %13
%200 = OpTypeVector %4 3
%232 = OpTypePointer UniformConstant %15
%391 = OpTypePointer UniformConstant %19
%65 = OpFunction  %2  None %66
%58 = OpLabel
%50 = OpVariable  %51  Function %52
%55 = OpVariable  %56  Function %57
%48 = OpVariable  %49  Function %5
%53 = OpVariable  %54  Function %6
%62 = OpLoad  %8  %60
%59 = OpCompositeConstruct  %24  %62
%69 = OpAccessChain  %67  %45 %68
OpBranch %70
%70 = OpLabel
%72 = OpAccessChain  %71  %69 %68
%73 = OpLoad  %8  %72
%74 = OpCompositeExtract  %8  %59 0
%75 = OpCompositeConstruct  %26  %5 %5
OpStore %50 %75
%76 = OpCompositeConstruct  %25  %6 %6 %6 %6
OpStore %55 %76
%78 = OpCompositeConstruct  %77  %6 %6
%79 = OpCompositeConstruct  %26  %5 %5
%80 = OpLoad  %26  %50
%82 = OpAccessChain  %81  %27 %68
%83 = OpLoad  %10  %82
%84 = OpImageQuerySizeLod  %26  %83 %68
%85 = OpIAdd  %26  %80 %84
OpStore %50 %85
%86 = OpLoad  %26  %50
%87 = OpAccessChain  %81  %27 %73
%88 = OpLoad  %10  %87
%89 = OpImageQuerySizeLod  %26  %88 %68
%90 = OpIAdd  %26  %86 %89
OpStore %50 %90
%91 = OpLoad  %26  %50
%92 = OpAccessChain  %81  %27 %74
%93 = OpLoad  %10  %92
%94 = OpImageQuerySizeLod  %26  %93 %68
%95 = OpIAdd  %26  %91 %94
OpStore %50 %95
%96 = OpLoad  %25  %55
%97 = OpAccessChain  %81  %31 %68
%98 = OpLoad  %10  %97
%100 = OpAccessChain  %99  %41 %68
%101 = OpLoad  %21  %100
%103 = OpSampledImage  %102  %98 %101
%104 = OpImageGather  %25  %103 %78 %68
%105 = OpFAdd  %25  %96 %104
OpStore %55 %105
%106 = OpLoad  %25  %55
%107 = OpAccessChain  %81  %31 %73
%108 = OpLoad  %10  %107
%109 = OpAccessChain  %99  %41 %73
%110 = OpLoad  %21  %109
%111 = OpSampledImage  %102  %108 %110
%112 = OpImageGather  %25  %111 %78 %68
%113 = OpFAdd  %25  %106 %112
OpStore %55 %113
%114 = OpLoad  %25  %55
%115 = OpAccessChain  %81  %31 %74
%116 = OpLoad  %10  %115
%117 = OpAccessChain  %99  %41 %74
%118 = OpLoad  %21  %117
%119 = OpSampledImage  %102  %116 %118
%120 = OpImageGather  %25  %119 %78 %68
%121 = OpFAdd  %25  %114 %120
OpStore %55 %121
%122 = OpLoad  %25  %55
%124 = OpAccessChain  %123  %37 %68
%125 = OpLoad  %17  %124
%127 = OpAccessChain  %126  %43 %68
%128 = OpLoad  %21  %127
%130 = OpSampledImage  %129  %125 %128
%131 = OpImageDrefGather  %25  %130 %78 %6
%132 = OpFAdd  %25  %122 %131
OpStore %55 %132
%133 = OpLoad  %25  %55
%134 = OpAccessChain  %123  %37 %73
%135 = OpLoad  %17  %134
%136 = OpAccessChain  %126  %43 %73
%137 = OpLoad  %21  %136
%138 = OpSampledImage  %129  %135 %137
%139 = OpImageDrefGather  %25  %138 %78 %6
%140 = OpFAdd  %25  %133 %139
OpStore %55 %140
%141 = OpLoad  %25  %55
%142 = OpAccessChain  %123  %37 %74
%143 = OpLoad  %17  %142
%144 = OpAccessChain  %126  %43 %74
%145 = OpLoad  %21  %144
%146 = OpSampledImage  %129  %143 %145
%147 = OpImageDrefGather  %25  %146 %78 %6
%148 = OpFAdd  %25  %141 %147
OpStore %55 %148
%149 = OpLoad  %25  %55
%150 = OpAccessChain  %81  %27 %68
%151 = OpLoad  %10  %150
%154 = OpImageQueryLevels  %4  %151
%155 = OpULessThan  %152  %5 %154
OpSelectionMerge %156 None
OpBranchConditional %155 %157 %156
%157 = OpLabel
%158 = OpImageQuerySizeLod  %26  %151 %5
%160 = OpULessThan  %159  %79 %158
%161 = OpAll  %152  %160
OpBranchConditional %161 %162 %156
%162 = OpLabel
%163 = OpImageFetch  %25  %151 %79 Lod %5
OpBranch %156
%156 = OpLabel
%164 = OpPhi  %25  %153 %70 %153 %157 %163 %162
%165 = OpFAdd  %25  %149 %164
OpStore %55 %165
%166 = OpLoad  %25  %55
%167 = OpAccessChain  %81  %27 %73
%168 = OpLoad  %10  %167
%170 = OpImageQueryLevels  %4  %168
%171 = OpULessThan  %152  %5 %170
OpSelectionMerge %172 None
OpBranchConditional %171 %173 %172
%173 = OpLabel
%174 = OpImageQuerySizeLod  %26  %168 %5
%175 = OpULessThan  %159  %79 %174
%176 = OpAll  %152  %175
OpBranchConditional %176 %177 %172
%177 = OpLabel
%178 = OpImageFetch  %25  %168 %79 Lod %5
OpBranch %172
%172 = OpLabel
%179 = OpPhi  %25  %169 %156 %169 %173 %178 %177
%180 = OpFAdd  %25  %166 %179
OpStore %55 %180
%181 = OpLoad  %25  %55
%182 = OpAccessChain  %81  %27 %74
%183 = OpLoad  %10  %182
%185 = OpImageQueryLevels  %4  %183
%186 = OpULessThan  %152  %5 %185
OpSelectionMerge %187 None
OpBranchConditional %186 %188 %187
%188 = OpLabel
%189 = OpImageQuerySizeLod  %26  %183 %5
%190 = OpULessThan  %159  %79 %189
%191 = OpAll  %152  %190
OpBranchConditional %191 %192 %187
%192 = OpLabel
%193 = OpImageFetch  %25  %183 %79 Lod %5
OpBranch %187
%187 = OpLabel
%194 = OpPhi  %25  %184 %172 %184 %188 %193 %192
%195 = OpFAdd  %25  %181 %194
OpStore %55 %195
%196 = OpLoad  %4  %48
%198 = OpAccessChain  %197  %33 %68
%199 = OpLoad  %13  %198
%201 = OpImageQuerySizeLod  %200  %199 %68
%202 = OpCompositeExtract  %4  %201 2
%203 = OpIAdd  %4  %196 %202
OpStore %48 %203
%204 = OpLoad  %4  %48
%205 = OpAccessChain  %197  %33 %73
%206 = OpLoad  %13  %205
%207 = OpImageQuerySizeLod  %200  %206 %68
%208 = OpCompositeExtract  %4  %207 2
%209 = OpIAdd  %4  %204 %208
OpStore %48 %209
%210 = OpLoad  %4  %48
%211 = OpAccessChain  %197  %33 %74
%212 = OpLoad  %13  %211
%213 = OpImageQuerySizeLod  %200  %212 %68
%214 = OpCompositeExtract  %4  %213 2
%215 = OpIAdd  %4  %210 %214
OpStore %48 %215
%216 = OpLoad  %4  %48
%217 = OpAccessChain  %81  %31 %68
%218 = OpLoad  %10  %217
%219 = OpImageQueryLevels  %4  %218
%220 = OpIAdd  %4  %216 %219
OpStore %48 %220
%221 = OpLoad  %4  %48
%222 = OpAccessChain  %81  %31 %73
%223 = OpLoad  %10  %222
%224 = OpImageQueryLevels  %4  %223
%225 = OpIAdd  %4  %221 %224
OpStore %48 %225
%226 = OpLoad  %4  %48
%227 = OpAccessChain  %81  %31 %74
%228 = OpLoad  %10  %227
%229 = OpImageQueryLevels  %4  %228
%230 = OpIAdd  %4  %226 %229
OpStore %48 %230
%231 = OpLoad  %4  %48
%233 = OpAccessChain  %232  %35 %68
%234 = OpLoad  %15  %233
%235 = OpImageQuerySamples  %4  %234
%236 = OpIAdd  %4  %231 %235
OpStore %48 %236
%237 = OpLoad  %4  %48
%238 = OpAccessChain  %232  %35 %73
%239 = OpLoad  %15  %238
%240 = OpImageQuerySamples  %4  %239
%241 = OpIAdd  %4  %237 %240
OpStore %48 %241
%242 = OpLoad  %4  %48
%243 = OpAccessChain  %232  %35 %74
%244 = OpLoad  %15  %243
%245 = OpImageQuerySamples  %4  %244
%246 = OpIAdd  %4  %242 %245
OpStore %48 %246
%247 = OpLoad  %25  %55
%248 = OpAccessChain  %81  %31 %68
%249 = OpLoad  %10  %248
%250 = OpAccessChain  %99  %41 %68
%251 = OpLoad  %21  %250
%252 = OpSampledImage  %102  %249 %251
%253 = OpImageSampleImplicitLod  %25  %252 %78
%254 = OpFAdd  %25  %247 %253
OpStore %55 %254
%255 = OpLoad  %25  %55
%256 = OpAccessChain  %81  %31 %73
%257 = OpLoad  %10  %256
%258 = OpAccessChain  %99  %41 %73
%259 = OpLoad  %21  %258
%260 = OpSampledImage  %102  %257 %259
%261 = OpImageSampleImplicitLod  %25  %260 %78
%262 = OpFAdd  %25  %255 %261
OpStore %55 %262
%263 = OpLoad  %25  %55
%264 = OpAccessChain  %81  %31 %74
%265 = OpLoad  %10  %264
%266 = OpAccessChain  %99  %41 %74
%267 = OpLoad  %21  %266
%268 = OpSampledImage  %102  %265 %267
%269 = OpImageSampleImplicitLod  %25  %268 %78
%270 = OpFAdd  %25  %263 %269
OpStore %55 %270
%271 = OpLoad  %25  %55
%272 = OpAccessChain  %81  %31 %68
%273 = OpLoad  %10  %272
%274 = OpAccessChain  %99  %41 %68
%275 = OpLoad  %21  %274
%276 = OpSampledImage  %102  %273 %275
%277 = OpImageSampleImplicitLod  %25  %276 %78 Bias %6
%278 = OpFAdd  %25  %271 %277
OpStore %55 %278
%279 = OpLoad  %25  %55
%280 = OpAccessChain  %81  %31 %73
%281 = OpLoad  %10  %280
%282 = OpAccessChain  %99  %41 %73
%283 = OpLoad  %21  %282
%284 = OpSampledImage  %102  %281 %283
%285 = OpImageSampleImplicitLod  %25  %284 %78 Bias %6
%286 = OpFAdd  %25  %279 %285
OpStore %55 %286
%287 = OpLoad  %25  %55
%288 = OpAccessChain  %81  %31 %74
%289 = OpLoad  %10  %288
%290 = OpAccessChain  %99  %41 %74
%291 = OpLoad  %21  %290
%292 = OpSampledImage  %102  %289 %291
%293 = OpImageSampleImplicitLod  %25  %292 %78 Bias %6
%294 = OpFAdd  %25  %287 %293
OpStore %55 %294
%295 = OpLoad  %7  %53
%296 = OpAccessChain  %123  %37 %68
%297 = OpLoad  %17  %296
%298 = OpAccessChain  %126  %43 %68
%299 = OpLoad  %21  %298
%300 = OpSampledImage  %129  %297 %299
%301 = OpImageSampleDrefImplicitLod  %7  %300 %78 %6
%302 = OpFAdd  %7  %295 %301
OpStore %53 %302
%303 = OpLoad  %7  %53
%304 = OpAccessChain  %123  %37 %73
%305 = OpLoad  %17  %304
%306 = OpAccessChain  %126  %43 %73
%307 = OpLoad  %21  %306
%308 = OpSampledImage  %129  %305 %307
%309 = OpImageSampleDrefImplicitLod  %7  %308 %78 %6
%310 = OpFAdd  %7  %303 %309
OpStore %53 %310
%311 = OpLoad  %7  %53
%312 = OpAccessChain  %123  %37 %74
%313 = OpLoad  %17  %312
%314 = OpAccessChain  %126  %43 %74
%315 = OpLoad  %21  %314
%316 = OpSampledImage  %129  %313 %315
%317 = OpImageSampleDrefImplicitLod  %7  %316 %78 %6
%318 = OpFAdd  %7  %311 %317
OpStore %53 %318
%319 = OpLoad  %7  %53
%320 = OpAccessChain  %123  %37 %68
%321 = OpLoad  %17  %320
%322 = OpAccessChain  %126  %43 %68
%323 = OpLoad  %21  %322
%324 = OpSampledImage  %129  %321 %323
%325 = OpImageSampleDrefExplicitLod  %7  %324 %78 %6 Lod %6
%326 = OpFAdd  %7  %319 %325
OpStore %53 %326
%327 = OpLoad  %7  %53
%328 = OpAccessChain  %123  %37 %73
%329 = OpLoad  %17  %328
%330 = OpAccessChain  %126  %43 %73
%331 = OpLoad  %21  %330
%332 = OpSampledImage  %129  %329 %331
%333 = OpImageSampleDrefExplicitLod  %7  %332 %78 %6 Lod %6
%334 = OpFAdd  %7  %327 %333
OpStore %53 %334
%335 = OpLoad  %7  %53
%336 = OpAccessChain  %123  %37 %74
%337 = OpLoad  %17  %336
%338 = OpAccessChain  %126  %43 %74
%339 = OpLoad  %21  %338
%340 = OpSampledImage  %129  %337 %339
%341 = OpImageSampleDrefExplicitLod  %7  %340 %78 %6 Lod %6
%342 = OpFAdd  %7  %335 %341
OpStore %53 %342
%343 = OpLoad  %25  %55
%344 = OpAccessChain  %81  %31 %68
%345 = OpLoad  %10  %344
%346 = OpAccessChain  %99  %41 %68
%347 = OpLoad  %21  %346
%348 = OpSampledImage  %102  %345 %347
%349 = OpImageSampleExplicitLod  %25  %348 %78 Grad %78 %78
%350 = OpFAdd  %25  %343 %349
OpStore %55 %350
%351 = OpLoad  %25  %55
%352 = OpAccessChain  %81  %31 %73
%353 = OpLoad  %10  %352
%354 = OpAccessChain  %99  %41 %73
%355 = OpLoad  %21  %354
%356 = OpSampledImage  %102  %353 %355
%357 = OpImageSampleExplicitLod  %25  %356 %78 Grad %78 %78
%358 = OpFAdd  %25  %351 %357
OpStore %55 %358
%359 = OpLoad  %25  %55
%360 = OpAccessChain  %81  %31 %74
%361 = OpLoad  %10  %360
%362 = OpAccessChain  %99  %41 %74
%363 = OpLoad  %21  %362
%364 = OpSampledImage  %102  %361 %363
%365 = OpImageSampleExplicitLod  %25  %364 %78 Grad %78 %78
%366 = OpFAdd  %25  %359 %365
OpStore %55 %366
%367 = OpLoad  %25  %55
%368 = OpAccessChain  %81  %31 %68
%369 = OpLoad  %10  %368
%370 = OpAccessChain  %99  %41 %68
%371 = OpLoad  %21  %370
%372 = OpSampledImage  %102  %369 %371
%373 = OpImageSampleExplicitLod  %25  %372 %78 Lod %6
%374 = OpFAdd  %25  %367 %373
OpStore %55 %374
%375 = OpLoad  %25  %55
%376 = OpAccessChain  %81  %31 %73
%377 = OpLoad  %10  %376
%378 = OpAccessChain  %99  %41 %73
%379 = OpLoad  %21  %378
%380 = OpSampledImage  %102  %377 %379
%381 = OpImageSampleExplicitLod  %25  %380 %78 Lod %6
%382 = OpFAdd  %25  %375 %381
OpStore %55 %382
%383 = OpLoad  %25  %55
%384 = OpAccessChain  %81  %31 %74
%385 = OpLoad  %10  %384
%386 = OpAccessChain  %99  %41 %74
%387 = OpLoad  %21  %386
%388 = OpSampledImage  %102  %385 %387
%389 = OpImageSampleExplicitLod  %25  %388 %78 Lod %6
%390 = OpFAdd  %25  %383 %389
OpStore %55 %390
%392 = OpAccessChain  %391  %39 %68
%393 = OpLoad  %19  %392
%394 = OpLoad  %25  %55
%395 = OpImageQuerySize  %26  %393
%396 = OpULessThan  %159  %79 %395
%397 = OpAll  %152  %396
OpSelectionMerge %398 None
OpBranchConditional %397 %399 %398
%399 = OpLabel
OpImageWrite %393 %79 %394
OpBranch %398
%398 = OpLabel
%400 = OpAccessChain  %391  %39 %73
%401 = OpLoad  %19  %400
%402 = OpLoad  %25  %55
%403 = OpImageQuerySize  %26  %401
%404 = OpULessThan  %159  %79 %403
%405 = OpAll  %152  %404
OpSelectionMerge %406 None
OpBranchConditional %405 %407 %406
%407 = OpLabel
OpImageWrite %401 %79 %402
OpBranch %406
%406 = OpLabel
%408 = OpAccessChain  %391  %39 %74
%409 = OpLoad  %19  %408
%410 = OpLoad  %25  %55
%411 = OpImageQuerySize  %26  %409
%412 = OpULessThan  %159  %79 %411
%413 = OpAll  %152  %412
OpSelectionMerge %414 None
OpBranchConditional %413 %415 %414
%415 = OpLabel
OpImageWrite %409 %79 %410
OpBranch %414
%414 = OpLabel
%416 = OpLoad  %26  %50
%417 = OpLoad  %4  %48
%418 = OpCompositeConstruct  %26  %417 %417
%419 = OpIAdd  %26  %416 %418
%420 = OpConvertSToF  %77  %419
%421 = OpLoad  %25  %55
%422 = OpCompositeExtract  %7  %420 0
%423 = OpCompositeExtract  %7  %420 1
%424 = OpCompositeExtract  %7  %420 0
%425 = OpCompositeExtract  %7  %420 1
%426 = OpCompositeConstruct  %25  %422 %423 %424 %425
%427 = OpFAdd  %25  %421 %426
%428 = OpLoad  %7  %53
%429 = OpCompositeConstruct  %25  %428 %428 %428 %428
%430 = OpFAdd  %25  %427 %429
OpStore %63 %430
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/bitcast.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 76
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %46 "main"
OpExecutionMode %46 LocalSize 1 1 1
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  0
%6 = OpTypeInt 32 0
%5 = OpConstant  %6  0
%8 = OpTypeFloat 32
%7 = OpConstant  %8  0.0
%9 = OpTypeVector %4 2
%10 = OpTypeVector %4 3
%11 = OpTypeVector %4 4
%12 = OpTypeVector %6 2
%13 = OpTypeVector %6 3
%14 = OpTypeVector %6 4
%15 = OpTypeVector %8 2
%16 = OpTypeVector %8 3
%17 = OpTypeVector %8 4
%19 = OpTypePointer Function %9
%20 = OpConstantNull  %9
%22 = OpTypePointer Function %10
%23 = OpConstantNull  %10
%25 = OpTypePointer Function %11
%26 = OpConstantNull  %11
%28 = OpTypePointer Function %12
%29 = OpConstantNull  %12
%31 = OpTypePointer Function %13
%32 = OpConstantNull  %13
%34 = OpTypePointer Function %14
%35 = OpConstantNull  %14
%37 = OpTypePointer Function %15
%38 = OpConstantNull  %15
%40 = OpTypePointer Function %16
%41 = OpConstantNull  %16
%43 = OpTypePointer Function %17
%44 = OpConstantNull  %17
%47 = OpTypeFunction %2
%46 = OpFunction  %2  None %47
%45 = OpLabel
%36 = OpVariable  %37  Function %38
%27 = OpVariable  %28  Function %29
%18 = OpVariable  %19  Function %20
%39 = OpVariable  %40  Function %41
%30 = OpVariable  %31  Function %32
%21 = OpVariable  %22  Function %23
%42 = OpVariable  %43  Function %44
%33 = OpVariable  %34  Function %35
%24 = OpVariable  %25  Function %26
OpBranch %48
%48 = OpLabel
%49 = OpCompositeConstruct  %9  %3 %3
OpStore %18 %49
%50 = OpCompositeConstruct  %10  %3 %3 %3
OpStore %21 %50
%51 = OpCompositeConstruct  %11  %3 %3 %3 %3
OpStore %24 %51
%52 = OpCompositeConstruct  %12  %5 %5
OpStore %27 %52
%53 = OpCompositeConstruct  %13  %5 %5 %5
OpStore %30 %53
%54 = OpCompositeConstruct  %14  %5 %5 %5 %5
OpStore %33 %54
%55 = OpCompositeConstruct  %15  %7 %7
OpStore %36 %55
%56 = OpCompositeConstruct  %16  %7 %7 %7
OpStore %39 %56
%57 = OpCompositeConstruct  %17  %7 %7 %7 %7
OpStore %42 %57
%58 = OpLoad  %9  %18
%59 = OpBitcast  %12  %58
OpStore %27 %59
%60 = OpLoad  %10  %21
%61 = OpBitcast  %13  %60
OpStore %30 %61
%62 = OpLoad  %11  %24
%63 = OpBitcast  %14  %62
OpStore %33 %63
%64 = OpLoad  %12  %27
%65 = OpBitcast  %9  %64
OpStore %18 %65
%66 = OpLoad  %13  %30
%67 = OpBitcast  %10  %66
OpStore %21 %67
%68 = OpLoad  %14  %33
%69 = OpBitcast  %11  %68
OpStore %24 %69
%70 = OpLoad  %9  %18
%71 = OpBitcast  %15  %70
OpStore %36 %71
%72 = OpLoad  %10  %21
%73 = OpBitcast  %16  %72
OpStore %39 %73
%74 = OpLoad  %11  %24
%75 = OpBitcast  %17  %74
OpStore %42 %75
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/bits.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 159
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %48 "main"
OpExecutionMode %48 LocalSize 1 1 1
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  0
%6 = OpTypeInt 32 0
%5 = OpConstant  %6  0
%8 = OpTypeFloat 32
%7 = OpConstant  %8  0.0
%9 = OpConstant  %6  5
%10 = OpConstant  %6  10
%11 = OpTypeVector %4 2
%12 = OpTypeVector %4 3
%13 = OpTypeVector %4 4
%14 = OpTypeVector %6 2
%15 = OpTypeVector %6 3
%16 = OpTypeVector %6 4
%17 = OpTypeVector %8 2
%18 = OpTypeVector %8 4
%20 = OpTypePointer Function %4
%22 = OpTypePointer Function %11
%23 = OpConstantNull  %11
%25 = OpTypePointer Function %12
%26 = OpConstantNull  %12
%28 = OpTypePointer Function %13
%29 = OpConstantNull  %13
%31 = OpTypePointer Function %6
%33 = OpTypePointer Function %14
%34 = OpConstantNull  %14
%36 = OpTypePointer Function %15
%37 = OpConstantNull  %15
%39 = OpTypePointer Function %16
%40 = OpConstantNull  %16
%42 = OpTypePointer Function %17
%43 = OpConstantNull  %17
%45 = OpTypePointer Function %18
%46 = OpConstantNull  %18
%49 = OpTypeFunction %2
%48 = OpFunction  %2  None %49
%47 = OpLabel
%44 = OpVariable  %45  Function %46
%35 = OpVariable  %36  Function %37
%27 = OpVariable  %28  Function %29
%19 = OpVariable  %20  Function %3
%38 = OpVariable  %39  Function %40
%30 = OpVariable  %31  Function %5
%21 = OpVariable  %22  Function %23
%41 = OpVariable  %42  Function %43
%32 = OpVariable  %33  Function %34
%24 = OpVariable  %25  Function %26
OpBranch %50
%50 = OpLabel
%51 = OpCompositeConstruct  %11  %3 %3
OpStore %21 %51
%52 = OpCompositeConstruct  %12  %3 %3 %3
OpStore %24 %52
%53 = OpCompositeConstruct  %13  %3 %3 %3 %3
OpStore %27 %53
%54 = OpCompositeConstruct  %14  %5 %5
OpStore %32 %54
%55 = OpCompositeConstruct  %15  %5 %5 %5
OpStore %35 %55
%56 = OpCompositeConstruct  %16  %5 %5 %5 %5
OpStore %38 %56
%57 = OpCompositeConstruct  %17  %7 %7
OpStore %41 %57
%58 = OpCompositeConstruct  %18  %7 %7 %7 %7
OpStore %44 %58
%59 = OpLoad  %18  %44
%60 = OpExtInst  %6  %1 PackSnorm4x8 %59
OpStore %30 %60
%61 = OpLoad  %18  %44
%62 = OpExtInst  %6  %1 PackUnorm4x8 %61
OpStore %30 %62
%63 = OpLoad  %17  %41
%64 = OpExtInst  %6  %1 PackSnorm2x16 %63
OpStore %30 %64
%65 = OpLoad  %17  %41
%66 = OpExtInst  %6  %1 PackUnorm2x16 %65
OpStore %30 %66
%67 = OpLoad  %17  %41
%68 = OpExtInst  %6  %1 PackHalf2x16 %67
OpStore %30 %68
%69 = OpLoad  %6  %30
%70 = OpExtInst  %18  %1 UnpackSnorm4x8 %69
OpStore %44 %70
%71 = OpLoad  %6  %30
%72 = OpExtInst  %18  %1 UnpackUnorm4x8 %71
OpStore %44 %72
%73 = OpLoad  %6  %30
%74 = OpExtInst  %17  %1 UnpackSnorm2x16 %73
OpStore %41 %74
%75 = OpLoad  %6  %30
%76 = OpExtInst  %17  %1 UnpackUnorm2x16 %75
OpStore %41 %76
%77 = OpLoad  %6  %30
%78 = OpExtInst  %17  %1 UnpackHalf2x16 %77
OpStore %41 %78
%79 = OpLoad  %4  %19
%80 = OpLoad  %4  %19
%81 = OpBitFieldInsert  %4  %79 %80 %9 %10
OpStore %19 %81
%82 = OpLoad  %11  %21
%83 = OpLoad  %11  %21
%84 = OpBitFieldInsert  %11  %82 %83 %9 %10
OpStore %21 %84
%85 = OpLoad  %12  %24
%86 = OpLoad  %12  %24
%87 = OpBitFieldInsert  %12  %85 %86 %9 %10
OpStore %24 %87
%88 = OpLoad  %13  %27
%89 = OpLoad  %13  %27
%90 = OpBitFieldInsert  %13  %88 %89 %9 %10
OpStore %27 %90
%91 = OpLoad  %6  %30
%92 = OpLoad  %6  %30
%93 = OpBitFieldInsert  %6  %91 %92 %9 %10
OpStore %30 %93
%94 = OpLoad  %14  %32
%95 = OpLoad  %14  %32
%96 = OpBitFieldInsert  %14  %94 %95 %9 %10
OpStore %32 %96
%97 = OpLoad  %15  %35
%98 = OpLoad  %15  %35
%99 = OpBitFieldInsert  %15  %97 %98 %9 %10
OpStore %35 %99
%100 = OpLoad  %16  %38
%101 = OpLoad  %16  %38
%102 = OpBitFieldInsert  %16  %100 %101 %9 %10
OpStore %38 %102
%103 = OpLoad  %4  %19
%104 = OpBitFieldSExtract  %4  %103 %9 %10
OpStore %19 %104
%105 = OpLoad  %11  %21
%106 = OpBitFieldSExtract  %11  %105 %9 %10
OpStore %21 %106
%107 = OpLoad  %12  %24
%108 = OpBitFieldSExtract  %12  %107 %9 %10
OpStore %24 %108
%109 = OpLoad  %13  %27
%110 = OpBitFieldSExtract  %13  %109 %9 %10
OpStore %27 %110
%111 = OpLoad  %6  %30
%112 = OpBitFieldUExtract  %6  %111 %9 %10
OpStore %30 %112
%113 = OpLoad  %14  %32
%114 = OpBitFieldUExtract  %14  %113 %9 %10
OpStore %32 %114
%115 = OpLoad  %15  %35
%116 = OpBitFieldUExtract  %15  %115 %9 %10
OpStore %35 %116
%117 = OpLoad  %16  %38
%118 = OpBitFieldUExtract  %16  %117 %9 %10
OpStore %38 %118
%119 = OpLoad  %4  %19
%120 = OpExtInst  %4  %1 FindILsb %119
OpStore %19 %120
%121 = OpLoad  %14  %32
%122 = OpExtInst  %14  %1 FindILsb %121
OpStore %32 %122
%123 = OpLoad  %12  %24
%124 = OpExtInst  %12  %1 FindSMsb %123
OpStore %24 %124
%125 = OpLoad  %6  %30
%126 = OpExtInst  %6  %1 FindUMsb %125
OpStore %30 %126
%127 = OpLoad  %4  %19
%128 = OpBitCount  %4  %127
OpStore %19 %128
%129 = OpLoad  %11  %21
%130 = OpBitCount  %11  %129
OpStore %21 %130
%131 = OpLoad  %12  %24
%132 = OpBitCount  %12  %131
OpStore %24 %132
%133 = OpLoad  %13  %27
%134 = OpBitCount  %13  %133
OpStore %27 %134
%135 = OpLoad  %6  %30
%136 = OpBitCount  %6  %135
OpStore %30 %136
%137 = OpLoad  %14  %32
%138 = OpBitCount  %14  %137
OpStore %32 %138
%139 = OpLoad  %15  %35
%140 = OpBitCount  %15  %139
OpStore %35 %140
%141 = OpLoad  %16  %38
%142 = OpBitCount  %16  %141
OpStore %38 %142
%143 = OpLoad  %4  %19
%144 = OpBitReverse  %4  %143
OpStore %19 %144
%145 = OpLoad  %11  %21
%146 = OpBitReverse  %11  %145
OpStore %21 %146
%147 = OpLoad  %12  %24
%148 = OpBitReverse  %12  %147
OpStore %24 %148
%149 = OpLoad  %13  %27
%150 = OpBitReverse  %13  %149
OpStore %27 %150
%151 = OpLoad  %6  %30
%152 = OpBitReverse  %6  %151
OpStore %30 %152
%153 = OpLoad  %14  %32
%154 = OpBitReverse  %14  %153
OpStore %32 %154
%155 = OpLoad  %15  %35
%156 = OpBitReverse  %15  %155
OpStore %35 %156
%157 = OpLoad  %16  %38
%158 = OpBitReverse  %16  %157
OpStore %38 %158
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/boids.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 213
OpCapability Shader
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %51 "main" %48
OpExecutionMode %51 LocalSize 64 1 1
OpSource GLSL 450
OpName %3 "NUM_PARTICLES"
OpMemberName %16 0 "pos"
OpMemberName %16 1 "vel"
OpName %16 "Particle"
OpMemberName %17 0 "deltaT"
OpMemberName %17 1 "rule1Distance"
OpMemberName %17 2 "rule2Distance"
OpMemberName %17 3 "rule3Distance"
OpMemberName %17 4 "rule1Scale"
OpMemberName %17 5 "rule2Scale"
OpMemberName %17 6 "rule3Scale"
OpName %17 "SimParams"
OpMemberName %19 0 "particles"
OpName %19 "Particles"
OpName %21 "params"
OpName %24 "particlesSrc"
OpName %26 "particlesDst"
OpName %27 "vPos"
OpName %30 "vVel"
OpName %32 "cMass"
OpName %34 "cVel"
OpName %36 "colVel"
OpName %38 "cMassCount"
OpName %40 "cVelCount"
OpName %41 "pos"
OpName %43 "vel"
OpName %45 "i"
OpName %48 "global_invocation_id"
OpName %51 "main"
OpMemberDecorate %16 0 Offset 0
OpMemberDecorate %16 1 Offset 8
OpMemberDecorate %17 0 Offset 0
OpMemberDecorate %17 1 Offset 4
OpMemberDecorate %17 2 Offset 8
OpMemberDecorate %17 3 Offset 12
OpMemberDecorate %17 4 Offset 16
OpMemberDecorate %17 5 Offset 20
OpMemberDecorate %17 6 Offset 24
OpDecorate %18 ArrayStride 16
OpMemberDecorate %19 0 Offset 0
OpDecorate %21 DescriptorSet 0
OpDecorate %21 Binding 0
OpDecorate %22 Block
OpMemberDecorate %22 0 Offset 0
OpDecorate %24 NonWritable
OpDecorate %24 DescriptorSet 0
OpDecorate %24 Binding 1
OpDecorate %19 Block
OpDecorate %26 DescriptorSet 0
OpDecorate %26 Binding 2
OpDecorate %19 Block
OpDecorate %48 BuiltIn GlobalInvocationId
%2 = OpTypeVoid
%4 = OpTypeInt 32 0
%3 = OpConstant  %4  1500
%6 = OpTypeFloat 32
%5 = OpConstant  %6  0.0
%8 = OpTypeInt 32 1
%7 = OpConstant  %8  0
%9 = OpConstant  %4  0
%10 = OpConstant  %8  1
%11 = OpConstant  %4  1
%12 = OpConstant  %6  0.1
%13 = OpConstant  %6  -1.0
%14 = OpConstant  %6  1.0
%15 = OpTypeVector %6 2
%16 = OpTypeStruct %15 %15
%17 = OpTypeStruct %6 %6 %6 %6 %6 %6 %6
%18 = OpTypeRuntimeArray %16
%19 = OpTypeStruct %18
%20 = OpTypeVector %4 3
%22 = OpTypeStruct %17
%23 = OpTypePointer Uniform %22
%21 = OpVariable  %23  Uniform
%25 = OpTypePointer StorageBuffer %19
%24 = OpVariable  %25  StorageBuffer
%26 = OpVariable  %25  StorageBuffer
%28 = OpTypePointer Function %15
%29 = OpConstantNull  %15
%31 = OpConstantNull  %15
%33 = OpConstantNull  %15
%35 = OpConstantNull  %15
%37 = OpConstantNull  %15
%39 = OpTypePointer Function %8
%42 = OpConstantNull  %15
%44 = OpConstantNull  %15
%46 = OpTypePointer Function %4
%49 = OpTypePointer Input %20
%48 = OpVariable  %49  Input
%52 = OpTypeFunction %2
%53 = OpTypePointer Uniform %17
%57 = OpTypeBool
%61 = OpTypePointer StorageBuffer %18
%62 = OpTypePointer StorageBuffer %16
%63 = OpTypePointer StorageBuffer %15
%92 = OpTypePointer Uniform %6
%106 = OpConstant  %4  2
%120 = OpConstant  %4  3
%155 = OpConstant  %4  4
%161 = OpConstant  %4  5
%167 = OpConstant  %4  6
%184 = OpTypePointer Function %6
%51 = OpFunction  %2  None %52
%47 = OpLabel
%45 = OpVariable  %46  Function %9
%40 = OpVariable  %39  Function %7
%34 = OpVariable  %28  Function %35
%27 = OpVariable  %28  Function %29
%41 = OpVariable  %28  Function %42
%36 = OpVariable  %28  Function %37
%30 = OpVariable  %28  Function %31
%43 = OpVariable  %28  Function %44
%38 = OpVariable  %39  Function %7
%32 = OpVariable  %28  Function %33
%50 = OpLoad  %20  %48
%54 = OpAccessChain  %53  %21 %9
OpBranch %55
%55 = OpLabel
%56 = OpCompositeExtract  %4  %50 0
%58 = OpUGreaterThanEqual  %57  %56 %3
OpSelectionMerge %59 None
OpBranchConditional %58 %60 %59
%60 = OpLabel
OpReturn
%59 = OpLabel
%64 = OpAccessChain  %63  %24 %9 %56 %9
%65 = OpLoad  %15  %64
OpStore %27 %65
%66 = OpAccessChain  %63  %24 %9 %56 %11
%67 = OpLoad  %15  %66
OpStore %30 %67
%68 = OpCompositeConstruct  %15  %5 %5
OpStore %32 %68
%69 = OpCompositeConstruct  %15  %5 %5
OpStore %34 %69
%70 = OpCompositeConstruct  %15  %5 %5
OpStore %36 %70
OpBranch %71
%71 = OpLabel
OpLoopMerge %72 %74 None
OpBranch %73
%73 = OpLabel
%75 = OpLoad  %4  %45
%76 = OpUGreaterThanEqual  %57  %75 %3
OpSelectionMerge %77 None
OpBranchConditional %76 %78 %77
%78 = OpLabel
OpBranch %72
%77 = OpLabel
%79 = OpLoad  %4  %45
%80 = OpIEqual  %57  %79 %56
OpSelectionMerge %81 None
OpBranchConditional %80 %82 %81
%82 = OpLabel
OpBranch %74
%81 = OpLabel
%83 = OpLoad  %4  %45
%84 = OpAccessChain  %63  %24 %9 %83 %9
%85 = OpLoad  %15  %84
OpStore %41 %85
%86 = OpLoad  %4  %45
%87 = OpAccessChain  %63  %24 %9 %86 %11
%88 = OpLoad  %15  %87
OpStore %43 %88
%89 = OpLoad  %15  %41
%90 = OpLoad  %15  %27
%91 = OpExtInst  %6  %1 Distance %89 %90
%93 = OpAccessChain  %92  %54 %11
%94 = OpLoad  %6  %93
%95 = OpFOrdLessThan  %57  %91 %94
OpSelectionMerge %96 None
OpBranchConditional %95 %97 %96
%97 = OpLabel
%98 = OpLoad  %15  %32
%99 = OpLoad  %15  %41
%100 = OpFAdd  %15  %98 %99
OpStore %32 %100
%101 = OpLoad  %8  %38
%102 = OpIAdd  %8  %101 %10
OpStore %38 %102
OpBranch %96
%96 = OpLabel
%103 = OpLoad  %15  %41
%104 = OpLoad  %15  %27
%105 = OpExtInst  %6  %1 Distance %103 %104
%107 = OpAccessChain  %92  %54 %106
%108 = OpLoad  %6  %107
%109 = OpFOrdLessThan  %57  %105 %108
OpSelectionMerge %110 None
OpBranchConditional %109 %111 %110
%111 = OpLabel
%112 = OpLoad  %15  %36
%113 = OpLoad  %15  %41
%114 = OpLoad  %15  %27
%115 = OpFSub  %15  %113 %114
%116 = OpFSub  %15  %112 %115
OpStore %36 %116
OpBranch %110
%110 = OpLabel
%117 = OpLoad  %15  %41
%118 = OpLoad  %15  %27
%119 = OpExtInst  %6  %1 Distance %117 %118
%121 = OpAccessChain  %92  %54 %120
%122 = OpLoad  %6  %121
%123 = OpFOrdLessThan  %57  %119 %122
OpSelectionMerge %124 None
OpBranchConditional %123 %125 %124
%125 = OpLabel
%126 = OpLoad  %15  %34
%127 = OpLoad  %15  %43
%128 = OpFAdd  %15  %126 %127
OpStore %34 %128
%129 = OpLoad  %8  %40
%130 = OpIAdd  %8  %129 %10
OpStore %40 %130
OpBranch %124
%124 = OpLabel
OpBranch %74
%74 = OpLabel
%131 = OpLoad  %4  %45
%132 = OpIAdd  %4  %131 %11
OpStore %45 %132
OpBranch %71
%72 = OpLabel
%133 = OpLoad  %8  %38
%134 = OpSGreaterThan  %57  %133 %7
OpSelectionMerge %135 None
OpBranchConditional %134 %136 %135
%136 = OpLabel
%137 = OpLoad  %15  %32
%138 = OpLoad  %8  %38
%139 = OpConvertSToF  %6  %138
%140 = OpCompositeConstruct  %15  %139 %139
%141 = OpFDiv  %15  %137 %140
%142 = OpLoad  %15  %27
%143 = OpFSub  %15  %141 %142
OpStore %32 %143
OpBranch %135
%135 = OpLabel
%144 = OpLoad  %8  %40
%145 = OpSGreaterThan  %57  %144 %7
OpSelectionMerge %146 None
OpBranchConditional %145 %147 %146
%147 = OpLabel
%148 = OpLoad  %15  %34
%149 = OpLoad  %8  %40
%150 = OpConvertSToF  %6  %149
%151 = OpCompositeConstruct  %15  %150 %150
%152 = OpFDiv  %15  %148 %151
OpStore %34 %152
OpBranch %146
%146 = OpLabel
%153 = OpLoad  %15  %30
%154 = OpLoad  %15  %32
%156 = OpAccessChain  %92  %54 %155
%157 = OpLoad  %6  %156
%158 = OpVectorTimesScalar  %15  %154 %157
%159 = OpFAdd  %15  %153 %158
%160 = OpLoad  %15  %36
%162 = OpAccessChain  %92  %54 %161
%163 = OpLoad  %6  %162
%164 = OpVectorTimesScalar  %15  %160 %163
%165 = OpFAdd  %15  %159 %164
%166 = OpLoad  %15  %34
%168 = OpAccessChain  %92  %54 %167
%169 = OpLoad  %6  %168
%170 = OpVectorTimesScalar  %15  %166 %169
%171 = OpFAdd  %15  %165 %170
OpStore %30 %171
%172 = OpLoad  %15  %30
%173 = OpExtInst  %15  %1 Normalize %172
%174 = OpLoad  %15  %30
%175 = OpExtInst  %6  %1 Length %174
%176 = OpExtInst  %6  %1 FClamp %175 %5 %12
%177 = OpVectorTimesScalar  %15  %173 %176
OpStore %30 %177
%178 = OpLoad  %15  %27
%179 = OpLoad  %15  %30
%180 = OpAccessChain  %92  %54 %9
%181 = OpLoad  %6  %180
%182 = OpVectorTimesScalar  %15  %179 %181
%183 = OpFAdd  %15  %178 %182
OpStore %27 %183
%185 = OpAccessChain  %184  %27 %9
%186 = OpLoad  %6  %185
%187 = OpFOrdLessThan  %57  %186 %13
OpSelectionMerge %188 None
OpBranchConditional %187 %189 %188
%189 = OpLabel
%190 = OpAccessChain  %184  %27 %9
OpStore %190 %14
OpBranch %188
%188 = OpLabel
%191 = OpAccessChain  %184  %27 %9
%192 = OpLoad  %6  %191
%193 = OpFOrdGreaterThan  %57  %192 %14
OpSelectionMerge %194 None
OpBranchConditional %193 %195 %194
%195 = OpLabel
%196 = OpAccessChain  %184  %27 %9
OpStore %196 %13
OpBranch %194
%194 = OpLabel
%197 = OpAccessChain  %184  %27 %11
%198 = OpLoad  %6  %197
%199 = OpFOrdLessThan  %57  %198 %13
OpSelectionMerge %200 None
OpBranchConditional %199 %201 %200
%201 = OpLabel
%202 = OpAccessChain  %184  %27 %11
OpStore %202 %14
OpBranch %200
%200 = OpLabel
%203 = OpAccessChain  %184  %27 %11
%204 = OpLoad  %6  %203
%205 = OpFOrdGreaterThan  %57  %204 %14
OpSelectionMerge %206 None
OpBranchConditional %205 %207 %206
%207 = OpLabel
%208 = OpAccessChain  %184  %27 %11
OpStore %208 %13
OpBranch %206
%206 = OpLabel
%209 = OpLoad  %15  %27
%210 = OpAccessChain  %63  %26 %9 %56 %9
OpStore %210 %209
%211 = OpLoad  %15  %30
%212 = OpAccessChain  %63  %26 %9 %56 %11
OpStore %212 %211
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/bounds-check-image-restrict.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 244
OpCapability ImageQuery
OpCapability Image1D
OpCapability Shader
OpCapability Sampled1D
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Fragment %222 "fragment_shader" %220
OpExecutionMode %222 OriginUpperLeft
OpSource GLSL 450
OpName %25 "image_1d"
OpName %27 "image_2d"
OpName %29 "image_2d_array"
OpName %31 "image_3d"
OpName %33 "image_multisampled_2d"
OpName %35 "image_depth_2d"
OpName %37 "image_depth_2d_array"
OpName %39 "image_depth_multisampled_2d"
OpName %41 "image_storage_1d"
OpName %43 "image_storage_2d"
OpName %45 "image_storage_2d_array"
OpName %47 "image_storage_3d"
OpName %50 "coords"
OpName %51 "level"
OpName %52 "test_textureLoad_1d"
OpName %65 "coords"
OpName %66 "level"
OpName %67 "test_textureLoad_2d"
OpName %80 "coords"
OpName %81 "index"
OpName %82 "level"
OpName %83 "test_textureLoad_2d_array"
OpName %97 "coords"
OpName %98 "level"
OpName %99 "test_textureLoad_3d"
OpName %112 "coords"
OpName %113 "_sample"
OpName %114 "test_textureLoad_multisampled_2d"
OpName %126 "coords"
OpName %127 "level"
OpName %128 "test_textureLoad_depth_2d"
OpName %142 "coords"
OpName %143 "index"
OpName %144 "level"
OpName %145 "test_textureLoad_depth_2d_array"
OpName %160 "coords"
OpName %161 "_sample"
OpName %162 "test_textureLoad_depth_multisampled_2d"
OpName %175 "coords"
OpName %176 "value"
OpName %177 "test_textureStore_1d"
OpName %185 "coords"
OpName %186 "value"
OpName %187 "test_textureStore_2d"
OpName %196 "coords"
OpName %197 "array_index"
OpName %198 "value"
OpName %199 "test_textureStore_2d_array"
OpName %209 "coords"
OpName %210 "value"
OpName %211 "test_textureStore_3d"
OpName %222 "fragment_shader"
OpDecorate %25 DescriptorSet 0
OpDecorate %25 Binding 0
OpDecorate %27 DescriptorSet 0
OpDecorate %27 Binding 1
OpDecorate %29 DescriptorSet 0
OpDecorate %29 Binding 2
OpDecorate %31 DescriptorSet 0
OpDecorate %31 Binding 3
OpDecorate %33 DescriptorSet 0
OpDecorate %33 Binding 4
OpDecorate %35 DescriptorSet 0
OpDecorate %35 Binding 5
OpDecorate %37 DescriptorSet 0
OpDecorate %37 Binding 6
OpDecorate %39 DescriptorSet 0
OpDecorate %39 Binding 7
OpDecorate %41 NonReadable
OpDecorate %41 DescriptorSet 0
OpDecorate %41 Binding 8
OpDecorate %43 NonReadable
OpDecorate %43 DescriptorSet 0
OpDecorate %43 Binding 9
OpDecorate %45 NonReadable
OpDecorate %45 DescriptorSet 0
OpDecorate %45 Binding 10
OpDecorate %47 NonReadable
OpDecorate %47 DescriptorSet 0
OpDecorate %47 Binding 11
OpDecorate %220 Location 0
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  0
%6 = OpTypeFloat 32
%5 = OpConstant  %6  0.0
%7 = OpTypeImage %6 1D 0 0 0 1 Unknown
%8 = OpTypeVector %6 4
%9 = OpTypeImage %6 2D 0 0 0 1 Unknown
%10 = OpTypeVector %4 2
%11 = OpTypeImage %6 2D 0 1 0 1 Unknown
%12 = OpTypeImage %6 3D 0 0 0 1 Unknown
%13 = OpTypeVector %4 3
%14 = OpTypeImage %6 2D 0 0 1 1 Unknown
%15 = OpTypeImage %6 2D 1 0 0 1 Unknown
%16 = OpTypeImage %6 2D 1 1 0 1 Unknown
%17 = OpTypeImage %6 2D 1 0 1 1 Unknown
%18 = OpTypeImage %6 1D 0 0 0 2 Rgba8
%19 = OpTypeImage %6 2D 0 0 0 2 Rgba8
%20 = OpTypeImage %6 2D 0 1 0 2 Rgba8
%21 = OpTypeImage %6 3D 0 0 0 2 Rgba8
%22 = OpConstantComposite  %10  %3 %3
%23 = OpConstantComposite  %13  %3 %3 %3
%24 = OpConstantComposite  %8  %5 %5 %5 %5
%26 = OpTypePointer UniformConstant %7
%25 = OpVariable  %26  UniformConstant
%28 = OpTypePointer UniformConstant %9
%27 = OpVariable  %28  UniformConstant
%30 = OpTypePointer UniformConstant %11
%29 = OpVariable  %30  UniformConstant
%32 = OpTypePointer UniformConstant %12
%31 = OpVariable  %32  UniformConstant
%34 = OpTypePointer UniformConstant %14
%33 = OpVariable  %34  UniformConstant
%36 = OpTypePointer UniformConstant %15
%35 = OpVariable  %36  UniformConstant
%38 = OpTypePointer UniformConstant %16
%37 = OpVariable  %38  UniformConstant
%40 = OpTypePointer UniformConstant %17
%39 = OpVariable  %40  UniformConstant
%42 = OpTypePointer UniformConstant %18
%41 = OpVariable  %42  UniformConstant
%44 = OpTypePointer UniformConstant %19
%43 = OpVariable  %44  UniformConstant
%46 = OpTypePointer UniformConstant %20
%45 = OpVariable  %46  UniformConstant
%48 = OpTypePointer UniformConstant %21
%47 = OpVariable  %48  UniformConstant
%53 = OpTypeFunction %8 %4 %4
%57 = OpConstant  %4  1
%68 = OpTypeFunction %8 %10 %4
%75 = OpConstantComposite  %10  %57 %57
%84 = OpTypeFunction %8 %10 %4 %4
%92 = OpConstantComposite  %13  %57 %57 %57
%100 = OpTypeFunction %8 %13 %4
%107 = OpConstantComposite  %13  %57 %57 %57
%121 = OpConstantComposite  %10  %57 %57
%129 = OpTypeFunction %6 %10 %4
%136 = OpConstantComposite  %10  %57 %57
%146 = OpTypeFunction %6 %10 %4 %4
%154 = OpConstantComposite  %13  %57 %57 %57
%169 = OpConstantComposite  %10  %57 %57
%178 = OpTypeFunction %2 %4 %8
%188 = OpTypeFunction %2 %10 %8
%192 = OpConstantComposite  %10  %57 %57
%200 = OpTypeFunction %2 %10 %4 %8
%205 = OpConstantComposite  %13  %57 %57 %57
%212 = OpTypeFunction %2 %13 %8
%216 = OpConstantComposite  %13  %57 %57 %57
%221 = OpTypePointer Output %8
%220 = OpVariable  %221  Output
%223 = OpTypeFunction %2
%52 = OpFunction  %8  None %53
%50 = OpFunctionParameter  %4
%51 = OpFunctionParameter  %4
%49 = OpLabel
%54 = OpLoad  %7  %25
OpBranch %55
%55 = OpLabel
%56 = OpImageQueryLevels  %4  %54
%58 = OpISub  %4  %56 %57
%59 = OpExtInst  %4  %1 UMin %51 %58
%60 = OpImageQuerySizeLod  %4  %54 %59
%61 = OpISub  %4  %60 %57
%62 = OpExtInst  %4  %1 UMin %50 %61
%63 = OpImageFetch  %8  %54 %62 Lod %59
OpReturnValue %63
OpFunctionEnd
%67 = OpFunction  %8  None %68
%65 = OpFunctionParameter  %10
%66 = OpFunctionParameter  %4
%64 = OpLabel
%69 = OpLoad  %9  %27
OpBranch %70
%70 = OpLabel
%71 = OpImageQueryLevels  %4  %69
%72 = OpISub  %4  %71 %57
%73 = OpExtInst  %4  %1 UMin %66 %72
%74 = OpImageQuerySizeLod  %10  %69 %73
%76 = OpISub  %10  %74 %75
%77 = OpExtInst  %10  %1 UMin %65 %76
%78 = OpImageFetch  %8  %69 %77 Lod %73
OpReturnValue %78
OpFunctionEnd
%83 = OpFunction  %8  None %84
%80 = OpFunctionParameter  %10
%81 = OpFunctionParameter  %4
%82 = OpFunctionParameter  %4
%79 = OpLabel
%85 = OpLoad  %11  %29
OpBranch %86
%86 = OpLabel
%87 = OpCompositeConstruct  %13  %80 %81
%88 = OpImageQueryLevels  %4  %85
%89 = OpISub  %4  %88 %57
%90 = OpExtInst  %4  %1 UMin %82 %89
%91 = OpImageQuerySizeLod  %13  %85 %90
%93 = OpISub  %13  %91 %92
%94 = OpExtInst  %13  %1 UMin %87 %93
%95 = OpImageFetch  %8  %85 %94 Lod %90
OpReturnValue %95
OpFunctionEnd
%99 = OpFunction  %8  None %100
%97 = OpFunctionParameter  %13
%98 = OpFunctionParameter  %4
%96 = OpLabel
%101 = OpLoad  %12  %31
OpBranch %102
%102 = OpLabel
%103 = OpImageQueryLevels  %4  %101
%104 = OpISub  %4  %103 %57
%105 = OpExtInst  %4  %1 UMin %98 %104
%106 = OpImageQuerySizeLod  %13  %101 %105
%108 = OpISub  %13  %106 %107
%109 = OpExtInst  %13  %1 UMin %97 %108
%110 = OpImageFetch  %8  %101 %109 Lod %105
OpReturnValue %110
OpFunctionEnd
%114 = OpFunction  %8  None %68
%112 = OpFunctionParameter  %10
%113 = OpFunctionParameter  %4
%111 = OpLabel
%115 = OpLoad  %14  %33
OpBranch %116
%116 = OpLabel
%117 = OpImageQuerySamples  %4  %115
%118 = OpISub  %4  %117 %57
%119 = OpExtInst  %4  %1 UMin %113 %118
%120 = OpImageQuerySize  %10  %115
%122 = OpISub  %10  %120 %121
%123 = OpExtInst  %10  %1 UMin %112 %122
%124 = OpImageFetch  %8  %115 %123 Sample %119
OpReturnValue %124
OpFunctionEnd
%128 = OpFunction  %6  None %129
%126 = OpFunctionParameter  %10
%127 = OpFunctionParameter  %4
%125 = OpLabel
%130 = OpLoad  %15  %35
OpBranch %131
%131 = OpLabel
%132 = OpImageQueryLevels  %4  %130
%133 = OpISub  %4  %132 %57
%134 = OpExtInst  %4  %1 UMin %127 %133
%135 = OpImageQuerySizeLod  %10  %130 %134
%137 = OpISub  %10  %135 %136
%138 = OpExtInst  %10  %1 UMin %126 %137
%139 = OpImageFetch  %8  %130 %138 Lod %134
%140 = OpCompositeExtract  %6  %139 0
OpReturnValue %140
OpFunctionEnd
%145 = OpFunction  %6  None %146
%142 = OpFunctionParameter  %10
%143 = OpFunctionParameter  %4
%144 = OpFunctionParameter  %4
%141 = OpLabel
%147 = OpLoad  %16  %37
OpBranch %148
%148 = OpLabel
%149 = OpCompositeConstruct  %13  %142 %143
%150 = OpImageQueryLevels  %4  %147
%151 = OpISub  %4  %150 %57
%152 = OpExtInst  %4  %1 UMin %144 %151
%153 = OpImageQuerySizeLod  %13  %147 %152
%155 = OpISub  %13  %153 %154
%156 = OpExtInst  %13  %1 UMin %149 %155
%157 = OpImageFetch  %8  %147 %156 Lod %152
%158 = OpCompositeExtract  %6  %157 0
OpReturnValue %158
OpFunctionEnd
%162 = OpFunction  %6  None %129
%160 = OpFunctionParameter  %10
%161 = OpFunctionParameter  %4
%159 = OpLabel
%163 = OpLoad  %17  %39
OpBranch %164
%164 = OpLabel
%165 = OpImageQuerySamples  %4  %163
%166 = OpISub  %4  %165 %57
%167 = OpExtInst  %4  %1 UMin %161 %166
%168 = OpImageQuerySize  %10  %163
%170 = OpISub  %10  %168 %169
%171 = OpExtInst  %10  %1 UMin %160 %170
%172 = OpImageFetch  %8  %163 %171 Sample %167
%173 = OpCompositeExtract  %6  %172 0
OpReturnValue %173
OpFunctionEnd
%177 = OpFunction  %2  None %178
%175 = OpFunctionParameter  %4
%176 = OpFunctionParameter  %8
%174 = OpLabel
%179 = OpLoad  %18  %41
OpBranch %180
%180 = OpLabel
%181 = OpImageQuerySize  %4  %179
%182 = OpISub  %4  %181 %57
%183 = OpExtInst  %4  %1 UMin %175 %182
OpImageWrite %179 %183 %176
OpReturn
OpFunctionEnd
%187 = OpFunction  %2  None %188
%185 = OpFunctionParameter  %10
%186 = OpFunctionParameter  %8
%184 = OpLabel
%189 = OpLoad  %19  %43
OpBranch %190
%190 = OpLabel
%191 = OpImageQuerySize  %10  %189
%193 = OpISub  %10  %191 %192
%194 = OpExtInst  %10  %1 UMin %185 %193
OpImageWrite %189 %194 %186
OpReturn
OpFunctionEnd
%199 = OpFunction  %2  None %200
%196 = OpFunctionParameter  %10
%197 = OpFunctionParameter  %4
%198 = OpFunctionParameter  %8
%195 = OpLabel
%201 = OpLoad  %20  %45
OpBranch %202
%202 = OpLabel
%203 = OpCompositeConstruct  %13  %196 %197
%204 = OpImageQuerySize  %13  %201
%206 = OpISub  %13  %204 %205
%207 = OpExtInst  %13  %1 UMin %203 %206
OpImageWrite %201 %207 %198
OpReturn
OpFunctionEnd
%211 = OpFunction  %2  None %212
%209 = OpFunctionParameter  %13
%210 = OpFunctionParameter  %8
%208 = OpLabel
%213 = OpLoad  %21  %47
OpBranch %214
%214 = OpLabel
%215 = OpImageQuerySize  %13  %213
%217 = OpISub  %13  %215 %216
%218 = OpExtInst  %13  %1 UMin %209 %217
OpImageWrite %213 %218 %210
OpReturn
OpFunctionEnd
%222 = OpFunction  %2  None %223
%219 = OpLabel
%224 = OpLoad  %7  %25
%225 = OpLoad  %9  %27
%226 = OpLoad  %11  %29
%227 = OpLoad  %12  %31
%228 = OpLoad  %14  %33
%229 = OpLoad  %18  %41
%230 = OpLoad  %19  %43
%231 = OpLoad  %20  %45
%232 = OpLoad  %21  %47
OpBranch %233
%233 = OpLabel
%234 = OpFunctionCall  %8  %52 %3 %3
%235 = OpFunctionCall  %8  %67 %22 %3
%236 = OpFunctionCall  %8  %83 %22 %3 %3
%237 = OpFunctionCall  %8  %99 %23 %3
%238 = OpFunctionCall  %8  %114 %22 %3
%239 = OpFunctionCall  %2  %177 %3 %24
%240 = OpFunctionCall  %2  %187 %22 %24
%241 = OpFunctionCall  %2  %199 %22 %3 %24
%242 = OpFunctionCall  %2  %211 %23 %24
%243 = OpCompositeConstruct  %8  %5 %5 %5 %5
OpStore %220 %243
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/bounds-check-image-rzsw.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 274
OpCapability ImageQuery
OpCapability Image1D
OpCapability Shader
OpCapability Sampled1D
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Fragment %252 "fragment_shader" %250
OpExecutionMode %252 OriginUpperLeft
OpSource GLSL 450
OpName %25 "image_1d"
OpName %27 "image_2d"
OpName %29 "image_2d_array"
OpName %31 "image_3d"
OpName %33 "image_multisampled_2d"
OpName %35 "image_depth_2d"
OpName %37 "image_depth_2d_array"
OpName %39 "image_depth_multisampled_2d"
OpName %41 "image_storage_1d"
OpName %43 "image_storage_2d"
OpName %45 "image_storage_2d_array"
OpName %47 "image_storage_3d"
OpName %50 "coords"
OpName %51 "level"
OpName %52 "test_textureLoad_1d"
OpName %68 "coords"
OpName %69 "level"
OpName %70 "test_textureLoad_2d"
OpName %87 "coords"
OpName %88 "index"
OpName %89 "level"
OpName %90 "test_textureLoad_2d_array"
OpName %108 "coords"
OpName %109 "level"
OpName %110 "test_textureLoad_3d"
OpName %126 "coords"
OpName %127 "_sample"
OpName %128 "test_textureLoad_multisampled_2d"
OpName %143 "coords"
OpName %144 "level"
OpName %145 "test_textureLoad_depth_2d"
OpName %162 "coords"
OpName %163 "index"
OpName %164 "level"
OpName %165 "test_textureLoad_depth_2d_array"
OpName %183 "coords"
OpName %184 "_sample"
OpName %185 "test_textureLoad_depth_multisampled_2d"
OpName %201 "coords"
OpName %202 "value"
OpName %203 "test_textureStore_1d"
OpName %212 "coords"
OpName %213 "value"
OpName %214 "test_textureStore_2d"
OpName %224 "coords"
OpName %225 "array_index"
OpName %226 "value"
OpName %227 "test_textureStore_2d_array"
OpName %238 "coords"
OpName %239 "value"
OpName %240 "test_textureStore_3d"
OpName %252 "fragment_shader"
OpDecorate %25 DescriptorSet 0
OpDecorate %25 Binding 0
OpDecorate %27 DescriptorSet 0
OpDecorate %27 Binding 1
OpDecorate %29 DescriptorSet 0
OpDecorate %29 Binding 2
OpDecorate %31 DescriptorSet 0
OpDecorate %31 Binding 3
OpDecorate %33 DescriptorSet 0
OpDecorate %33 Binding 4
OpDecorate %35 DescriptorSet 0
OpDecorate %35 Binding 5
OpDecorate %37 DescriptorSet 0
OpDecorate %37 Binding 6
OpDecorate %39 DescriptorSet 0
OpDecorate %39 Binding 7
OpDecorate %41 NonReadable
OpDecorate %41 DescriptorSet 0
OpDecorate %41 Binding 8
OpDecorate %43 NonReadable
OpDecorate %43 DescriptorSet 0
OpDecorate %43 Binding 9
OpDecorate %45 NonReadable
OpDecorate %45 DescriptorSet 0
OpDecorate %45 Binding 10
OpDecorate %47 NonReadable
OpDecorate %47 DescriptorSet 0
OpDecorate %47 Binding 11
OpDecorate %250 Location 0
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  0
%6 = OpTypeFloat 32
%5 = OpConstant  %6  0.0
%7 = OpTypeImage %6 1D 0 0 0 1 Unknown
%8 = OpTypeVector %6 4
%9 = OpTypeImage %6 2D 0 0 0 1 Unknown
%10 = OpTypeVector %4 2
%11 = OpTypeImage %6 2D 0 1 0 1 Unknown
%12 = OpTypeImage %6 3D 0 0 0 1 Unknown
%13 = OpTypeVector %4 3
%14 = OpTypeImage %6 2D 0 0 1 1 Unknown
%15 = OpTypeImage %6 2D 1 0 0 1 Unknown
%16 = OpTypeImage %6 2D 1 1 0 1 Unknown
%17 = OpTypeImage %6 2D 1 0 1 1 Unknown
%18 = OpTypeImage %6 1D 0 0 0 2 Rgba8
%19 = OpTypeImage %6 2D 0 0 0 2 Rgba8
%20 = OpTypeImage %6 2D 0 1 0 2 Rgba8
%21 = OpTypeImage %6 3D 0 0 0 2 Rgba8
%22 = OpConstantComposite  %10  %3 %3
%23 = OpConstantComposite  %13  %3 %3 %3
%24 = OpConstantComposite  %8  %5 %5 %5 %5
%26 = OpTypePointer UniformConstant %7
%25 = OpVariable  %26  UniformConstant
%28 = OpTypePointer UniformConstant %9
%27 = OpVariable  %28  UniformConstant
%30 = OpTypePointer UniformConstant %11
%29 = OpVariable  %30  UniformConstant
%32 = OpTypePointer UniformConstant %12
%31 = OpVariable  %32  UniformConstant
%34 = OpTypePointer UniformConstant %14
%33 = OpVariable  %34  UniformConstant
%36 = OpTypePointer UniformConstant %15
%35 = OpVariable  %36  UniformConstant
%38 = OpTypePointer UniformConstant %16
%37 = OpVariable  %38  UniformConstant
%40 = OpTypePointer UniformConstant %17
%39 = OpVariable  %40  UniformConstant
%42 = OpTypePointer UniformConstant %18
%41 = OpVariable  %42  UniformConstant
%44 = OpTypePointer UniformConstant %19
%43 = OpVariable  %44  UniformConstant
%46 = OpTypePointer UniformConstant %20
%45 = OpVariable  %46  UniformConstant
%48 = OpTypePointer UniformConstant %21
%47 = OpVariable  %48  UniformConstant
%53 = OpTypeFunction %8 %4 %4
%56 = OpTypeBool
%57 = OpConstantNull  %8
%71 = OpTypeFunction %8 %10 %4
%74 = OpConstantNull  %8
%80 = OpTypeVector %56 2
%91 = OpTypeFunction %8 %10 %4 %4
%95 = OpConstantNull  %8
%101 = OpTypeVector %56 3
%111 = OpTypeFunction %8 %13 %4
%114 = OpConstantNull  %8
%131 = OpConstantNull  %8
%146 = OpTypeFunction %6 %10 %4
%149 = OpConstantNull  %8
%166 = OpTypeFunction %6 %10 %4 %4
%170 = OpConstantNull  %8
%188 = OpConstantNull  %8
%204 = OpTypeFunction %2 %4 %8
%215 = OpTypeFunction %2 %10 %8
%228 = OpTypeFunction %2 %10 %4 %8
%241 = OpTypeFunction %2 %13 %8
%251 = OpTypePointer Output %8
%250 = OpVariable  %251  Output
%253 = OpTypeFunction %2
%52 = OpFunction  %8  None %53
%50 = OpFunctionParameter  %4
%51 = OpFunctionParameter  %4
%49 = OpLabel
%54 = OpLoad  %7  %25
OpBranch %55
%55 = OpLabel
%58 = OpImageQueryLevels  %4  %54
%59 = OpULessThan  %56  %51 %58
OpSelectionMerge %60 None
OpBranchConditional %59 %61 %60
%61 = OpLabel
%62 = OpImageQuerySizeLod  %4  %54 %51
%63 = OpULessThan  %56  %50 %62
OpBranchConditional %63 %64 %60
%64 = OpLabel
%65 = OpImageFetch  %8  %54 %50 Lod %51
OpBranch %60
%60 = OpLabel
%66 = OpPhi  %8  %57 %55 %57 %61 %65 %64
OpReturnValue %66
OpFunctionEnd
%70 = OpFunction  %8  None %71
%68 = OpFunctionParameter  %10
%69 = OpFunctionParameter  %4
%67 = OpLabel
%72 = OpLoad  %9  %27
OpBranch %73
%73 = OpLabel
%75 = OpImageQueryLevels  %4  %72
%76 = OpULessThan  %56  %69 %75
OpSelectionMerge %77 None
OpBranchConditional %76 %78 %77
%78 = OpLabel
%79 = OpImageQuerySizeLod  %10  %72 %69
%81 = OpULessThan  %80  %68 %79
%82 = OpAll  %56  %81
OpBranchConditional %82 %83 %77
%83 = OpLabel
%84 = OpImageFetch  %8  %72 %68 Lod %69
OpBranch %77
%77 = OpLabel
%85 = OpPhi  %8  %74 %73 %74 %78 %84 %83
OpReturnValue %85
OpFunctionEnd
%90 = OpFunction  %8  None %91
%87 = OpFunctionParameter  %10
%88 = OpFunctionParameter  %4
%89 = OpFunctionParameter  %4
%86 = OpLabel
%92 = OpLoad  %11  %29
OpBranch %93
%93 = OpLabel
%94 = OpCompositeConstruct  %13  %87 %88
%96 = OpImageQueryLevels  %4  %92
%97 = OpULessThan  %56  %89 %96
OpSelectionMerge %98 None
OpBranchConditional %97 %99 %98
%99 = OpLabel
%100 = OpImageQuerySizeLod  %13  %92 %89
%102 = OpULessThan  %101  %94 %100
%103 = OpAll  %56  %102
OpBranchConditional %103 %104 %98
%104 = OpLabel
%105 = OpImageFetch  %8  %92 %94 Lod %89
OpBranch %98
%98 = OpLabel
%106 = OpPhi  %8  %95 %93 %95 %99 %105 %104
OpReturnValue %106
OpFunctionEnd
%110 = OpFunction  %8  None %111
%108 = OpFunctionParameter  %13
%109 = OpFunctionParameter  %4
%107 = OpLabel
%112 = OpLoad  %12  %31
OpBranch %113
%113 = OpLabel
%115 = OpImageQueryLevels  %4  %112
%116 = OpULessThan  %56  %109 %115
OpSelectionMerge %117 None
OpBranchConditional %116 %118 %117
%118 = OpLabel
%119 = OpImageQuerySizeLod  %13  %112 %109
%120 = OpULessThan  %101  %108 %119
%121 = OpAll  %56  %120
OpBranchConditional %121 %122 %117
%122 = OpLabel
%123 = OpImageFetch  %8  %112 %108 Lod %109
OpBranch %117
%117 = OpLabel
%124 = OpPhi  %8  %114 %113 %114 %118 %123 %122
OpReturnValue %124
OpFunctionEnd
%128 = OpFunction  %8  None %71
%126 = OpFunctionParameter  %10
%127 = OpFunctionParameter  %4
%125 = OpLabel
%129 = OpLoad  %14  %33
OpBranch %130
%130 = OpLabel
%132 = OpImageQuerySamples  %4  %129
%133 = OpULessThan  %56  %127 %132
OpSelectionMerge %134 None
OpBranchConditional %133 %135 %134
%135 = OpLabel
%136 = OpImageQuerySize  %10  %129
%137 = OpULessThan  %80  %126 %136
%138 = OpAll  %56  %137
OpBranchConditional %138 %139 %134
%139 = OpLabel
%140 = OpImageFetch  %8  %129 %126 Sample %127
OpBranch %134
%134 = OpLabel
%141 = OpPhi  %8  %131 %130 %131 %135 %140 %139
OpReturnValue %141
OpFunctionEnd
%145 = OpFunction  %6  None %146
%143 = OpFunctionParameter  %10
%144 = OpFunctionParameter  %4
%142 = OpLabel
%147 = OpLoad  %15  %35
OpBranch %148
%148 = OpLabel
%150 = OpImageQueryLevels  %4  %147
%151 = OpULessThan  %56  %144 %150
OpSelectionMerge %152 None
OpBranchConditional %151 %153 %152
%153 = OpLabel
%154 = OpImageQuerySizeLod  %10  %147 %144
%155 = OpULessThan  %80  %143 %154
%156 = OpAll  %56  %155
OpBranchConditional %156 %157 %152
%157 = OpLabel
%158 = OpImageFetch  %8  %147 %143 Lod %144
OpBranch %152
%152 = OpLabel
%159 = OpPhi  %8  %149 %148 %149 %153 %158 %157
%160 = OpCompositeExtract  %6  %159 0
OpReturnValue %160
OpFunctionEnd
%165 = OpFunction  %6  None %166
%162 = OpFunctionParameter  %10
%163 = OpFunctionParameter  %4
%164 = OpFunctionParameter  %4
%161 = OpLabel
%167 = OpLoad  %16  %37
OpBranch %168
%168 = OpLabel
%169 = OpCompositeConstruct  %13  %162 %163
%171 = OpImageQueryLevels  %4  %167
%172 = OpULessThan  %56  %164 %171
OpSelectionMerge %173 None
OpBranchConditional %172 %174 %173
%174 = OpLabel
%175 = OpImageQuerySizeLod  %13  %167 %164
%176 = OpULessThan  %101  %169 %175
%177 = OpAll  %56  %176
OpBranchConditional %177 %178 %173
%178 = OpLabel
%179 = OpImageFetch  %8  %167 %169 Lod %164
OpBranch %173
%173 = OpLabel
%180 = OpPhi  %8  %170 %168 %170 %174 %179 %178
%181 = OpCompositeExtract  %6  %180 0
OpReturnValue %181
OpFunctionEnd
%185 = OpFunction  %6  None %146
%183 = OpFunctionParameter  %10
%184 = OpFunctionParameter  %4
%182 = OpLabel
%186 = OpLoad  %17  %39
OpBranch %187
%187 = OpLabel
%189 = OpImageQuerySamples  %4  %186
%190 = OpULessThan  %56  %184 %189
OpSelectionMerge %191 None
OpBranchConditional %190 %192 %191
%192 = OpLabel
%193 = OpImageQuerySize  %10  %186
%194 = OpULessThan  %80  %183 %193
%195 = OpAll  %56  %194
OpBranchConditional %195 %196 %191
%196 = OpLabel
%197 = OpImageFetch  %8  %186 %183 Sample %184
OpBranch %191
%191 = OpLabel
%198 = OpPhi  %8  %188 %187 %188 %192 %197 %196
%199 = OpCompositeExtract  %6  %198 0
OpReturnValue %199
OpFunctionEnd
%203 = OpFunction  %2  None %204
%201 = OpFunctionParameter  %4
%202 = OpFunctionParameter  %8
%200 = OpLabel
%205 = OpLoad  %18  %41
OpBranch %206
%206 = OpLabel
%207 = OpImageQuerySize  %4  %205
%208 = OpULessThan  %56  %201 %207
OpSelectionMerge %209 None
OpBranchConditional %208 %210 %209
%210 = OpLabel
OpImageWrite %205 %201 %202
OpBranch %209
%209 = OpLabel
OpReturn
OpFunctionEnd
%214 = OpFunction  %2  None %215
%212 = OpFunctionParameter  %10
%213 = OpFunctionParameter  %8
%211 = OpLabel
%216 = OpLoad  %19  %43
OpBranch %217
%217 = OpLabel
%218 = OpImageQuerySize  %10  %216
%219 = OpULessThan  %80  %212 %218
%220 = OpAll  %56  %219
OpSelectionMerge %221 None
OpBranchConditional %220 %222 %221
%222 = OpLabel
OpImageWrite %216 %212 %213
OpBranch %221
%221 = OpLabel
OpReturn
OpFunctionEnd
%227 = OpFunction  %2  None %228
%224 = OpFunctionParameter  %10
%225 = OpFunctionParameter  %4
%226 = OpFunctionParameter  %8
%223 = OpLabel
%229 = OpLoad  %20  %45
OpBranch %230
%230 = OpLabel
%231 = OpCompositeConstruct  %13  %224 %225
%232 = OpImageQuerySize  %13  %229
%233 = OpULessThan  %101  %231 %232
%234 = OpAll  %56  %233
OpSelectionMerge %235 None
OpBranchConditional %234 %236 %235
%236 = OpLabel
OpImageWrite %229 %231 %226
OpBranch %235
%235 = OpLabel
OpReturn
OpFunctionEnd
%240 = OpFunction  %2  None %241
%238 = OpFunctionParameter  %13
%239 = OpFunctionParameter  %8
%237 = OpLabel
%242 = OpLoad  %21  %47
OpBranch %243
%243 = OpLabel
%244 = OpImageQuerySize  %13  %242
%245 = OpULessThan  %101  %238 %244
%246 = OpAll  %56  %245
OpSelectionMerge %247 None
OpBranchConditional %246 %248 %247
%248 = OpLabel
OpImageWrite %242 %238 %239
OpBranch %247
%247 = OpLabel
OpReturn
OpFunctionEnd
%252 = OpFunction  %2  None %253
%249 = OpLabel
%254 = OpLoad  %7  %25
%255 = OpLoad  %9  %27
%256 = OpLoad  %11  %29
%257 = OpLoad  %12  %31
%258 = OpLoad  %14  %33
%259 = OpLoad  %18  %41
%260 = OpLoad  %19  %43
%261 = OpLoad  %20  %45
%262 = OpLoad  %21  %47
OpBranch %263
%263 = OpLabel
%264 = OpFunctionCall  %8  %52 %3 %3
%265 = OpFunctionCall  %8  %70 %22 %3
%266 = OpFunctionCall  %8  %90 %22 %3 %3
%267 = OpFunctionCall  %8  %110 %23 %3
%268 = OpFunctionCall  %8  %128 %22 %3
%269 = OpFunctionCall  %2  %203 %3 %24
%270 = OpFunctionCall  %2  %214 %22 %24
%271 = OpFunctionCall  %2  %227 %22 %3 %24
%272 = OpFunctionCall  %2  %240 %23 %24
%273 = OpCompositeConstruct  %8  %5 %5 %5 %5
OpStore %250 %273
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/bounds-check-restrict.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 166
OpCapability Shader
OpCapability Linkage
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpDecorate %10 ArrayStride 4
OpDecorate %13 ArrayStride 4
OpMemberDecorate %14 0 Offset 0
OpMemberDecorate %14 1 Offset 48
OpMemberDecorate %14 2 Offset 64
OpMemberDecorate %14 2 ColMajor
OpMemberDecorate %14 2 MatrixStride 16
OpMemberDecorate %14 3 Offset 112
OpDecorate %15 DescriptorSet 0
OpDecorate %15 Binding 0
OpDecorate %14 Block
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  10
%6 = OpTypeFloat 32
%5 = OpConstant  %6  100.0
%7 = OpConstant  %4  9
%8 = OpConstant  %4  3
%9 = OpConstant  %4  2
%10 = OpTypeArray %6 %3
%11 = OpTypeVector %6 4
%12 = OpTypeMatrix %11 3
%13 = OpTypeRuntimeArray %6
%14 = OpTypeStruct %10 %11 %12 %13
%16 = OpTypePointer StorageBuffer %14
%15 = OpVariable  %16  StorageBuffer
%20 = OpTypeFunction %6 %4
%22 = OpTypePointer StorageBuffer %10
%23 = OpTypePointer StorageBuffer %6
%25 = OpTypeInt 32 0
%24 = OpConstant  %25  9
%27 = OpConstant  %25  0
%34 = OpTypePointer StorageBuffer %13
%36 = OpConstant  %25  1
%39 = OpConstant  %25  3
%46 = OpTypePointer StorageBuffer %11
%47 = OpTypePointer StorageBuffer %6
%55 = OpTypeFunction %6 %11 %4
%62 = OpTypeFunction %11 %4
%64 = OpTypePointer StorageBuffer %12
%65 = OpTypePointer StorageBuffer %11
%66 = OpConstant  %25  2
%74 = OpTypeFunction %6 %4 %4
%94 = OpTypeFunction %6
%108 = OpTypeFunction %2 %4 %6
%132 = OpTypeFunction %2 %4 %11
%141 = OpTypeFunction %2 %4 %4 %6
%161 = OpTypeFunction %2 %6
%19 = OpFunction  %6  None %20
%18 = OpFunctionParameter  %4
%17 = OpLabel
OpBranch %21
%21 = OpLabel
%26 = OpExtInst  %25  %1 UMin %18 %24
%28 = OpAccessChain  %23  %15 %27 %26
%29 = OpLoad  %6  %28
OpReturnValue %29
OpFunctionEnd
%32 = OpFunction  %6  None %20
%31 = OpFunctionParameter  %4
%30 = OpLabel
OpBranch %33
%33 = OpLabel
%35 = OpArrayLength  %25  %15 3
%37 = OpISub  %25  %35 %36
%38 = OpExtInst  %25  %1 UMin %31 %37
%40 = OpAccessChain  %23  %15 %39 %38
%41 = OpLoad  %6  %40
OpReturnValue %41
OpFunctionEnd
%44 = OpFunction  %6  None %20
%43 = OpFunctionParameter  %4
%42 = OpLabel
OpBranch %45
%45 = OpLabel
%48 = OpExtInst  %25  %1 UMin %43 %39
%49 = OpAccessChain  %47  %15 %36 %48
%50 = OpLoad  %6  %49
OpReturnValue %50
OpFunctionEnd
%54 = OpFunction  %6  None %55
%52 = OpFunctionParameter  %11
%53 = OpFunctionParameter  %4
%51 = OpLabel
OpBranch %56
%56 = OpLabel
%57 = OpExtInst  %25  %1 UMin %53 %39
%58 = OpVectorExtractDynamic  %6  %52 %57
OpReturnValue %58
OpFunctionEnd
%61 = OpFunction  %11  None %62
%60 = OpFunctionParameter  %4
%59 = OpLabel
OpBranch %63
%63 = OpLabel
%67 = OpExtInst  %25  %1 UMin %60 %66
%68 = OpAccessChain  %65  %15 %66 %67
%69 = OpLoad  %11  %68
OpReturnValue %69
OpFunctionEnd
%73 = OpFunction  %6  None %74
%71 = OpFunctionParameter  %4
%72 = OpFunctionParameter  %4
%70 = OpLabel
OpBranch %75
%75 = OpLabel
%76 = OpExtInst  %25  %1 UMin %72 %39
%77 = OpExtInst  %25  %1 UMin %71 %66
%78 = OpAccessChain  %47  %15 %66 %77 %76
%79 = OpLoad  %6  %78
OpReturnValue %79
OpFunctionEnd
%82 = OpFunction  %6  None %20
%81 = OpFunctionParameter  %4
%80 = OpLabel
OpBranch %83
%83 = OpLabel
%84 = OpConvertSToF  %6  %81
%85 = OpFDiv  %6  %84 %5
%86 = OpExtInst  %6  %1 Sin %85
%87 = OpFMul  %6  %86 %5
%88 = OpConvertFToS  %4  %87
%89 = OpExtInst  %25  %1 UMin %88 %24
%90 = OpAccessChain  %23  %15 %27 %89
%91 = OpLoad  %6  %90
OpReturnValue %91
OpFunctionEnd
%93 = OpFunction  %6  None %94
%92 = OpLabel
OpBranch %95
%95 = OpLabel
%96 = OpAccessChain  %23  %15 %27 %24
%97 = OpLoad  %6  %96
%98 = OpAccessChain  %47  %15 %36 %39
%99 = OpLoad  %6  %98
%100 = OpFAdd  %6  %97 %99
%101 = OpAccessChain  %47  %15 %66 %66 %39
%102 = OpLoad  %6  %101
%103 = OpFAdd  %6  %100 %102
OpReturnValue %103
OpFunctionEnd
%107 = OpFunction  %2  None %108
%105 = OpFunctionParameter  %4
%106 = OpFunctionParameter  %6
%104 = OpLabel
OpBranch %109
%109 = OpLabel
%110 = OpExtInst  %25  %1 UMin %105 %24
%111 = OpAccessChain  %23  %15 %27 %110
OpStore %111 %106
OpReturn
OpFunctionEnd
%115 = OpFunction  %2  None %108
%113 = OpFunctionParameter  %4
%114 = OpFunctionParameter  %6
%112 = OpLabel
OpBranch %116
%116 = OpLabel
%117 = OpArrayLength  %25  %15 3
%118 = OpISub  %25  %117 %36
%119 = OpExtInst  %25  %1 UMin %113 %118
%120 = OpAccessChain  %23  %15 %39 %119
OpStore %120 %114
OpReturn
OpFunctionEnd
%124 = OpFunction  %2  None %108
%122 = OpFunctionParameter  %4
%123 = OpFunctionParameter  %6
%121 = OpLabel
OpBranch %125
%125 = OpLabel
%126 = OpExtInst  %25  %1 UMin %122 %39
%127 = OpAccessChain  %47  %15 %36 %126
OpStore %127 %123
OpReturn
OpFunctionEnd
%131 = OpFunction  %2  None %132
%129 = OpFunctionParameter  %4
%130 = OpFunctionParameter  %11
%128 = OpLabel
OpBranch %133
%133 = OpLabel
%134 = OpExtInst  %25  %1 UMin %129 %66
%135 = OpAccessChain  %65  %15 %66 %134
OpStore %135 %130
OpReturn
OpFunctionEnd
%140 = OpFunction  %2  None %141
%137 = OpFunctionParameter  %4
%138 = OpFunctionParameter  %4
%139 = OpFunctionParameter  %6
%136 = OpLabel
OpBranch %142
%142 = OpLabel
%143 = OpExtInst  %25  %1 UMin %138 %39
%144 = OpExtInst  %25  %1 UMin %137 %66
%145 = OpAccessChain  %47  %15 %66 %144 %143
OpStore %145 %139
OpReturn
OpFunctionEnd
%149 = OpFunction  %2  None %108
%147 = OpFunctionParameter  %4
%148 = OpFunctionParameter  %6
%146 = OpLabel
OpBranch %150
%150 = OpLabel
%151 = OpConvertSToF  %6  %147
%152 = OpFDiv  %6  %151 %5
%153 = OpExtInst  %6  %1 Sin %152
%154 = OpFMul  %6  %153 %5
%155 = OpConvertFToS  %4  %154
%156 = OpExtInst  %25  %1 UMin %155 %24
%157 = OpAccessChain  %23  %15 %27 %156
OpStore %157 %148
OpReturn
OpFunctionEnd
%160 = OpFunction  %2  None %161
%159 = OpFunctionParameter  %6
%158 = OpLabel
OpBranch %162
%162 = OpLabel
%163 = OpAccessChain  %23  %15 %27 %24
OpStore %163 %159
%164 = OpAccessChain  %47  %15 %36 %39
OpStore %164 %159
%165 = OpAccessChain  %47  %15 %66 %66 %39
OpStore %165 %159
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/bounds-check-zero.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 209
OpCapability Shader
OpCapability Linkage
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpDecorate %10 ArrayStride 4
OpDecorate %13 ArrayStride 4
OpMemberDecorate %14 0 Offset 0
OpMemberDecorate %14 1 Offset 48
OpMemberDecorate %14 2 Offset 64
OpMemberDecorate %14 2 ColMajor
OpMemberDecorate %14 2 MatrixStride 16
OpMemberDecorate %14 3 Offset 112
OpDecorate %15 DescriptorSet 0
OpDecorate %15 Binding 0
OpDecorate %14 Block
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  10
%6 = OpTypeFloat 32
%5 = OpConstant  %6  100.0
%7 = OpConstant  %4  9
%8 = OpConstant  %4  3
%9 = OpConstant  %4  2
%10 = OpTypeArray %6 %3
%11 = OpTypeVector %6 4
%12 = OpTypeMatrix %11 3
%13 = OpTypeRuntimeArray %6
%14 = OpTypeStruct %10 %11 %12 %13
%16 = OpTypePointer StorageBuffer %14
%15 = OpVariable  %16  StorageBuffer
%20 = OpTypeFunction %6 %4
%22 = OpTypePointer StorageBuffer %10
%23 = OpTypePointer StorageBuffer %6
%25 = OpTypeInt 32 0
%24 = OpConstant  %25  10
%27 = OpTypeBool
%28 = OpConstant  %25  0
%30 = OpConstantNull  %6
%39 = OpTypePointer StorageBuffer %13
%42 = OpConstant  %25  3
%44 = OpConstantNull  %6
%53 = OpTypePointer StorageBuffer %11
%54 = OpTypePointer StorageBuffer %6
%55 = OpConstant  %25  4
%57 = OpConstant  %25  1
%59 = OpConstantNull  %6
%68 = OpTypeFunction %6 %11 %4
%71 = OpConstantNull  %6
%79 = OpTypeFunction %11 %4
%81 = OpTypePointer StorageBuffer %12
%82 = OpTypePointer StorageBuffer %11
%84 = OpConstant  %25  2
%86 = OpConstantNull  %11
%95 = OpTypeFunction %6 %4 %4
%101 = OpConstantNull  %6
%117 = OpConstantNull  %6
%124 = OpTypeFunction %6
%126 = OpConstant  %25  9
%139 = OpTypeFunction %2 %4 %6
%168 = OpTypeFunction %2 %4 %11
%179 = OpTypeFunction %2 %4 %4 %6
%204 = OpTypeFunction %2 %6
%19 = OpFunction  %6  None %20
%18 = OpFunctionParameter  %4
%17 = OpLabel
OpBranch %21
%21 = OpLabel
%26 = OpULessThan  %27  %18 %24
OpSelectionMerge %31 None
OpBranchConditional %26 %32 %31
%32 = OpLabel
%29 = OpAccessChain  %23  %15 %28 %18
%33 = OpLoad  %6  %29
OpBranch %31
%31 = OpLabel
%34 = OpPhi  %6  %30 %21 %33 %32
OpReturnValue %34
OpFunctionEnd
%37 = OpFunction  %6  None %20
%36 = OpFunctionParameter  %4
%35 = OpLabel
OpBranch %38
%38 = OpLabel
%40 = OpArrayLength  %25  %15 3
%41 = OpULessThan  %27  %36 %40
OpSelectionMerge %45 None
OpBranchConditional %41 %46 %45
%46 = OpLabel
%43 = OpAccessChain  %23  %15 %42 %36
%47 = OpLoad  %6  %43
OpBranch %45
%45 = OpLabel
%48 = OpPhi  %6  %44 %38 %47 %46
OpReturnValue %48
OpFunctionEnd
%51 = OpFunction  %6  None %20
%50 = OpFunctionParameter  %4
%49 = OpLabel
OpBranch %52
%52 = OpLabel
%56 = OpULessThan  %27  %50 %55
OpSelectionMerge %60 None
OpBranchConditional %56 %61 %60
%61 = OpLabel
%58 = OpAccessChain  %54  %15 %57 %50
%62 = OpLoad  %6  %58
OpBranch %60
%60 = OpLabel
%63 = OpPhi  %6  %59 %52 %62 %61
OpReturnValue %63
OpFunctionEnd
%67 = OpFunction  %6  None %68
%65 = OpFunctionParameter  %11
%66 = OpFunctionParameter  %4
%64 = OpLabel
OpBranch %69
%69 = OpLabel
%70 = OpULessThan  %27  %66 %55
OpSelectionMerge %72 None
OpBranchConditional %70 %73 %72
%73 = OpLabel
%74 = OpVectorExtractDynamic  %6  %65 %66
OpBranch %72
%72 = OpLabel
%75 = OpPhi  %6  %71 %69 %74 %73
OpReturnValue %75
OpFunctionEnd
%78 = OpFunction  %11  None %79
%77 = OpFunctionParameter  %4
%76 = OpLabel
OpBranch %80
%80 = OpLabel
%83 = OpULessThan  %27  %77 %42
OpSelectionMerge %87 None
OpBranchConditional %83 %88 %87
%88 = OpLabel
%85 = OpAccessChain  %82  %15 %84 %77
%89 = OpLoad  %11  %85
OpBranch %87
%87 = OpLabel
%90 = OpPhi  %11  %86 %80 %89 %88
OpReturnValue %90
OpFunctionEnd
%94 = OpFunction  %6  None %95
%92 = OpFunctionParameter  %4
%93 = OpFunctionParameter  %4
%91 = OpLabel
OpBranch %96
%96 = OpLabel
%97 = OpULessThan  %27  %93 %55
%98 = OpULessThan  %27  %92 %42
%99 = OpLogicalAnd  %27  %97 %98
OpSelectionMerge %102 None
OpBranchConditional %99 %103 %102
%103 = OpLabel
%100 = OpAccessChain  %54  %15 %84 %92 %93
%104 = OpLoad  %6  %100
OpBranch %102
%102 = OpLabel
%105 = OpPhi  %6  %101 %96 %104 %103
OpReturnValue %105
OpFunctionEnd
%108 = OpFunction  %6  None %20
%107 = OpFunctionParameter  %4
%106 = OpLabel
OpBranch %109
%109 = OpLabel
%110 = OpConvertSToF  %6  %107
%111 = OpFDiv  %6  %110 %5
%112 = OpExtInst  %6  %1 Sin %111
%113 = OpFMul  %6  %112 %5
%114 = OpConvertFToS  %4  %113
%115 = OpULessThan  %27  %114 %24
OpSelectionMerge %118 None
OpBranchConditional %115 %119 %118
%119 = OpLabel
%116 = OpAccessChain  %23  %15 %28 %114
%120 = OpLoad  %6  %116
OpBranch %118
%118 = OpLabel
%121 = OpPhi  %6  %117 %109 %120 %119
OpReturnValue %121
OpFunctionEnd
%123 = OpFunction  %6  None %124
%122 = OpLabel
OpBranch %125
%125 = OpLabel
%127 = OpAccessChain  %23  %15 %28 %126
%128 = OpLoad  %6  %127
%129 = OpAccessChain  %54  %15 %57 %42
%130 = OpLoad  %6  %129
%131 = OpFAdd  %6  %128 %130
%132 = OpAccessChain  %54  %15 %84 %84 %42
%133 = OpLoad  %6  %132
%134 = OpFAdd  %6  %131 %133
OpReturnValue %134
OpFunctionEnd
%138 = OpFunction  %2  None %139
%136 = OpFunctionParameter  %4
%137 = OpFunctionParameter  %6
%135 = OpLabel
OpBranch %140
%140 = OpLabel
%141 = OpULessThan  %27  %136 %24
OpSelectionMerge %143 None
OpBranchConditional %141 %144 %143
%144 = OpLabel
%142 = OpAccessChain  %23  %15 %28 %136
OpStore %142 %137
OpBranch %143
%143 = OpLabel
OpReturn
OpFunctionEnd
%148 = OpFunction  %2  None %139
%146 = OpFunctionParameter  %4
%147 = OpFunctionParameter  %6
%145 = OpLabel
OpBranch %149
%149 = OpLabel
%150 = OpArrayLength  %25  %15 3
%151 = OpULessThan  %27  %146 %150
OpSelectionMerge %153 None
OpBranchConditional %151 %154 %153
%154 = OpLabel
%152 = OpAccessChain  %23  %15 %42 %146
OpStore %152 %147
OpBranch %153
%153 = OpLabel
OpReturn
OpFunctionEnd
%158 = OpFunction  %2  None %139
%156 = OpFunctionParameter  %4
%157 = OpFunctionParameter  %6
%155 = OpLabel
OpBranch %159
%159 = OpLabel
%160 = OpULessThan  %27  %156 %55
OpSelectionMerge %162 None
OpBranchConditional %160 %163 %162
%163 = OpLabel
%161 = OpAccessChain  %54  %15 %57 %156
OpStore %161 %157
OpBranch %162
%162 = OpLabel
OpReturn
OpFunctionEnd
%167 = OpFunction  %2  None %168
%165 = OpFunctionParameter  %4
%166 = OpFunctionParameter  %11
%164 = OpLabel
OpBranch %169
%169 = OpLabel
%170 = OpULessThan  %27  %165 %42
OpSelectionMerge %172 None
OpBranchConditional %170 %173 %172
%173 = OpLabel
%171 = OpAccessChain  %82  %15 %84 %165
OpStore %171 %166
OpBranch %172
%172 = OpLabel
OpReturn
OpFunctionEnd
%178 = OpFunction  %2  None %179
%175 = OpFunctionParameter  %4
%176 = OpFunctionParameter  %4
%177 = OpFunctionParameter  %6
%174 = OpLabel
OpBranch %180
%180 = OpLabel
%181 = OpULessThan  %27  %176 %55
%182 = OpULessThan  %27  %175 %42
%183 = OpLogicalAnd  %27  %181 %182
OpSelectionMerge %185 None
OpBranchConditional %183 %186 %185
%186 = OpLabel
%184 = OpAccessChain  %54  %15 %84 %175 %176
OpStore %184 %177
OpBranch %185
%185 = OpLabel
OpReturn
OpFunctionEnd
%190 = OpFunction  %2  None %139
%188 = OpFunctionParameter  %4
%189 = OpFunctionParameter  %6
%187 = OpLabel
OpBranch %191
%191 = OpLabel
%192 = OpConvertSToF  %6  %188
%193 = OpFDiv  %6  %192 %5
%194 = OpExtInst  %6  %1 Sin %193
%195 = OpFMul  %6  %194 %5
%196 = OpConvertFToS  %4  %195
%197 = OpULessThan  %27  %196 %24
OpSelectionMerge %199 None
OpBranchConditional %197 %200 %199
%200 = OpLabel
%198 = OpAccessChain  %23  %15 %28 %196
OpStore %198 %189
OpBranch %199
%199 = OpLabel
OpReturn
OpFunctionEnd
%203 = OpFunction  %2  None %204
%202 = OpFunctionParameter  %6
%201 = OpLabel
OpBranch %205
%205 = OpLabel
%206 = OpAccessChain  %23  %15 %28 %126
OpStore %206 %202
%207 = OpAccessChain  %54  %15 %57 %42
OpStore %207 %202
%208 = OpAccessChain  %54  %15 %84 %84 %42
OpStore %208 %202
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/break-if.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 50
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %48 "main"
OpExecutionMode %48 LocalSize 1 1 1
%2 = OpTypeVoid
%4 = OpTypeBool
%3 = OpConstantTrue  %4
%7 = OpTypeFunction %2
%14 = OpTypePointer Function %4
%15 = OpConstantNull  %4
%17 = OpConstantNull  %4
%21 = OpTypeFunction %2 %4
%32 = OpConstantNull  %4
%34 = OpConstantNull  %4
%6 = OpFunction  %2  None %7
%5 = OpLabel
OpBranch %8
%8 = OpLabel
OpBranch %9
%9 = OpLabel
OpLoopMerge %10 %12 None
OpBranch %11
%11 = OpLabel
OpBranch %12
%12 = OpLabel
OpBranchConditional %3 %10 %9
%10 = OpLabel
OpReturn
OpFunctionEnd
%20 = OpFunction  %2  None %21
%19 = OpFunctionParameter  %4
%18 = OpLabel
%13 = OpVariable  %14  Function %15
%16 = OpVariable  %14  Function %17
OpBranch %22
%22 = OpLabel
OpBranch %23
%23 = OpLabel
OpLoopMerge %24 %26 None
OpBranch %25
%25 = OpLabel
OpBranch %26
%26 = OpLabel
OpStore %13 %19
%27 = OpLoad  %4  %13
%28 = OpLogicalNotEqual  %4  %19 %27
OpStore %16 %28
%29 = OpLoad  %4  %16
%30 = OpLogicalEqual  %4  %19 %29
OpBranchConditional %30 %24 %23
%24 = OpLabel
OpReturn
OpFunctionEnd
%37 = OpFunction  %2  None %21
%36 = OpFunctionParameter  %4
%35 = OpLabel
%31 = OpVariable  %14  Function %32
%33 = OpVariable  %14  Function %34
OpBranch %38
%38 = OpLabel
OpBranch %39
%39 = OpLabel
OpLoopMerge %40 %42 None
OpBranch %41
%41 = OpLabel
OpStore %31 %36
%43 = OpLoad  %4  %31
%44 = OpLogicalNotEqual  %4  %36 %43
OpStore %33 %44
OpBranch %42
%42 = OpLabel
%45 = OpLoad  %4  %33
%46 = OpLogicalEqual  %4  %36 %45
OpBranchConditional %46 %40 %39
%40 = OpLabel
OpReturn
OpFunctionEnd
%48 = OpFunction  %2  None %7
%47 = OpLabel
OpBranch %49
%49 = OpLabel
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/collatz.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 60
OpCapability Shader
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %49 "main" %46
OpExecutionMode %49 LocalSize 1 1 1
OpSource GLSL 450
OpMemberName %9 0 "data"
OpName %9 "PrimeIndices"
OpName %11 "v_indices"
OpName %13 "n"
OpName %16 "i"
OpName %18 "n_base"
OpName %19 "collatz_iterations"
OpName %46 "global_id"
OpName %49 "main"
OpDecorate %8 ArrayStride 4
OpMemberDecorate %9 0 Offset 0
OpDecorate %11 DescriptorSet 0
OpDecorate %11 Binding 0
OpDecorate %9 Block
OpDecorate %46 BuiltIn GlobalInvocationId
%2 = OpTypeVoid
%4 = OpTypeInt 32 0
%3 = OpConstant  %4  0
%5 = OpConstant  %4  1
%6 = OpConstant  %4  2
%7 = OpConstant  %4  3
%8 = OpTypeRuntimeArray %4
%9 = OpTypeStruct %8
%10 = OpTypeVector %4 3
%12 = OpTypePointer StorageBuffer %9
%11 = OpVariable  %12  StorageBuffer
%14 = OpTypePointer Function %4
%15 = OpConstantNull  %4
%20 = OpTypeFunction %4 %4
%27 = OpTypeBool
%47 = OpTypePointer Input %10
%46 = OpVariable  %47  Input
%50 = OpTypeFunction %2
%52 = OpTypePointer StorageBuffer %8
%54 = OpTypePointer StorageBuffer %4
%19 = OpFunction  %4  None %20
%18 = OpFunctionParameter  %4
%17 = OpLabel
%13 = OpVariable  %14  Function %15
%16 = OpVariable  %14  Function %3
OpBranch %21
%21 = OpLabel
OpStore %13 %18
OpBranch %22
%22 = OpLabel
OpLoopMerge %23 %25 None
OpBranch %24
%24 = OpLabel
%26 = OpLoad  %4  %13
%28 = OpUGreaterThan  %27  %26 %5
OpSelectionMerge %29 None
OpBranchConditional %28 %29 %30
%30 = OpLabel
OpBranch %23
%29 = OpLabel
%31 = OpLoad  %4  %13
%32 = OpUMod  %4  %31 %6
%33 = OpIEqual  %27  %32 %3
OpSelectionMerge %34 None
OpBranchConditional %33 %35 %36
%35 = OpLabel
%37 = OpLoad  %4  %13
%38 = OpUDiv  %4  %37 %6
OpStore %13 %38
OpBranch %34
%36 = OpLabel
%39 = OpLoad  %4  %13
%40 = OpIMul  %4  %7 %39
%41 = OpIAdd  %4  %40 %5
OpStore %13 %41
OpBranch %34
%34 = OpLabel
%42 = OpLoad  %4  %16
%43 = OpIAdd  %4  %42 %5
OpStore %16 %43
OpBranch %25
%25 = OpLabel
OpBranch %22
%23 = OpLabel
%44 = OpLoad  %4  %16
OpReturnValue %44
OpFunctionEnd
%49 = OpFunction  %2  None %50
%45 = OpLabel
%48 = OpLoad  %10  %46
OpBranch %51
%51 = OpLabel
%53 = OpCompositeExtract  %4  %48 0
%55 = OpCompositeExtract  %4  %48 0
%56 = OpAccessChain  %54  %11 %3 %55
%57 = OpLoad  %4  %56
%58 = OpFunctionCall  %4  %19 %57
%59 = OpAccessChain  %54  %11 %3 %53
OpStore %59 %58
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/control-flow.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 69
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %44 "main" %41
OpExecutionMode %44 LocalSize 1 1 1
OpDecorate %41 BuiltIn GlobalInvocationId
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  1
%5 = OpConstant  %4  0
%6 = OpConstant  %4  2
%7 = OpConstant  %4  3
%8 = OpConstant  %4  4
%10 = OpTypeInt 32 0
%9 = OpConstant  %10  0
%11 = OpTypeVector %10 3
%15 = OpTypeFunction %2 %4
%21 = OpTypeFunction %2
%38 = OpTypePointer Function %4
%39 = OpConstantNull  %4
%42 = OpTypePointer Input %11
%41 = OpVariable  %42  Input
%46 = OpConstant  %10  2
%47 = OpConstant  %10  1
%48 = OpConstant  %10  72
%49 = OpConstant  %10  264
%14 = OpFunction  %2  None %15
%13 = OpFunctionParameter  %4
%12 = OpLabel
OpBranch %16
%16 = OpLabel
OpSelectionMerge %17 None
OpSwitch %13 %18
%18 = OpLabel
OpBranch %17
%17 = OpLabel
OpReturn
OpFunctionEnd
%20 = OpFunction  %2  None %21
%19 = OpLabel
OpBranch %22
%22 = OpLabel
OpSelectionMerge %23 None
OpSwitch %5 %24 0 %25
%25 = OpLabel
OpBranch %23
%24 = OpLabel
OpBranch %23
%23 = OpLabel
OpReturn
OpFunctionEnd
%28 = OpFunction  %2  None %15
%27 = OpFunctionParameter  %4
%26 = OpLabel
OpBranch %29
%29 = OpLabel
OpBranch %30
%30 = OpLabel
OpLoopMerge %31 %33 None
OpBranch %32
%32 = OpLabel
OpSelectionMerge %34 None
OpSwitch %27 %35 1 %36
%36 = OpLabel
OpBranch %33
%35 = OpLabel
OpBranch %34
%34 = OpLabel
OpBranch %33
%33 = OpLabel
OpBranch %30
%31 = OpLabel
OpReturn
OpFunctionEnd
%44 = OpFunction  %2  None %21
%40 = OpLabel
%37 = OpVariable  %38  Function %39
%43 = OpLoad  %11  %41
OpBranch %45
%45 = OpLabel
OpControlBarrier %46 %47 %48
OpControlBarrier %46 %46 %49
OpSelectionMerge %50 None
OpSwitch %3 %51
%51 = OpLabel
OpStore %37 %3
OpBranch %50
%50 = OpLabel
%52 = OpLoad  %4  %37
OpSelectionMerge %53 None
OpSwitch %52 %54 1 %55 2 %56 3 %57 4 %58
%55 = OpLabel
OpStore %37 %5
OpBranch %53
%56 = OpLabel
OpStore %37 %3
OpBranch %53
%57 = OpLabel
OpStore %37 %6
OpBranch %58
%58 = OpLabel
OpStore %37 %7
OpBranch %54
%54 = OpLabel
OpStore %37 %8
OpBranch %53
%53 = OpLabel
OpSelectionMerge %59 None
OpSwitch %9 %60 0 %61
%61 = OpLabel
OpBranch %59
%60 = OpLabel
OpBranch %59
%59 = OpLabel
%62 = OpLoad  %4  %37
OpSelectionMerge %63 None
OpSwitch %62 %64 1 %65 2 %66 3 %67 4 %68
%65 = OpLabel
OpStore %37 %5
OpBranch %63
%66 = OpLabel
OpStore %37 %3
OpReturn
%67 = OpLabel
OpStore %37 %6
OpBranch %68
%68 = OpLabel
OpReturn
%64 = OpLabel
OpStore %37 %7
OpReturn
%63 = OpLabel
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/empty.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 7
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %4 "main"
OpExecutionMode %4 LocalSize 1 1 1
%2 = OpTypeVoid
%5 = OpTypeFunction %2
%4 = OpFunction  %2  None %5
%3 = OpLabel
OpBranch %6
%6 = OpLabel
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/extra.spvasm
================================================
; SPIR-V
; Version: 1.2
; Generator: rspirv
; Bound: 48
OpCapability Shader
OpCapability Float64
OpCapability Geometry
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Fragment %24 "main" %16 %19 %22
OpExecutionMode %24 OriginUpperLeft
OpMemberDecorate %8 0 Offset 0
OpMemberDecorate %8 1 Offset 16
OpMemberDecorate %10 0 Offset 0
OpMemberDecorate %10 1 Offset 16
OpDecorate %12 Block
OpMemberDecorate %12 0 Offset 0
OpDecorate %16 Location 0
OpDecorate %19 BuiltIn PrimitiveId
OpDecorate %19 Flat
OpDecorate %22 Location 0
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  1.0
%5 = OpTypeInt 32 0
%7 = OpTypeFloat 64
%6 = OpTypeVector %7 2
%8 = OpTypeStruct %5 %6
%9 = OpTypeVector %4 4
%10 = OpTypeStruct %9 %5
%12 = OpTypeStruct %8
%13 = OpTypePointer PushConstant %12
%11 = OpVariable  %13  PushConstant
%17 = OpTypePointer Input %9
%16 = OpVariable  %17  Input
%20 = OpTypePointer Input %5
%19 = OpVariable  %20  Input
%23 = OpTypePointer Output %9
%22 = OpVariable  %23  Output
%25 = OpTypeFunction %2
%26 = OpTypePointer PushConstant %8
%27 = OpConstant  %5  0
%31 = OpTypePointer PushConstant %5
%34 = OpTypeBool
%40 = OpTypeVector %4 3
%24 = OpFunction  %2  None %25
%14 = OpLabel
%18 = OpLoad  %9  %16
%21 = OpLoad  %5  %19
%15 = OpCompositeConstruct  %10  %18 %21
%28 = OpAccessChain  %26  %11 %27
OpBranch %29
%29 = OpLabel
%30 = OpCompositeExtract  %5  %15 1
%32 = OpAccessChain  %31  %28 %27
%33 = OpLoad  %5  %32
%35 = OpIEqual  %34  %30 %33
OpSelectionMerge %36 None
OpBranchConditional %35 %37 %38
%37 = OpLabel
%39 = OpCompositeExtract  %9  %15 0
OpStore %22 %39
OpReturn
%38 = OpLabel
%41 = OpCompositeConstruct  %40  %3 %3 %3
%42 = OpCompositeExtract  %9  %15 0
%43 = OpVectorShuffle  %40  %42 %42 0 1 2
%44 = OpFSub  %40  %41 %43
%45 = OpCompositeExtract  %9  %15 0
%46 = OpCompositeExtract  %4  %45 3
%47 = OpCompositeConstruct  %9  %44 %46
OpStore %22 %47
OpReturn
%36 = OpLabel
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/functions.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 79
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %74 "main"
OpExecutionMode %74 LocalSize 1 1 1
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  2.0
%5 = OpConstant  %4  0.5
%7 = OpTypeInt 32 1
%6 = OpConstant  %7  1
%9 = OpTypeInt 32 0
%8 = OpConstant  %9  1
%10 = OpConstant  %7  4
%11 = OpConstant  %7  2
%12 = OpTypeVector %4 2
%15 = OpTypeFunction %12
%23 = OpTypeFunction %7
%25 = OpTypeVector %7 2
%37 = OpTypeVector %9 3
%53 = OpTypeVector %7 4
%75 = OpTypeFunction %2
%29 = OpConstantNull  %7
%41 = OpConstantNull  %9
%57 = OpConstantNull  %7
%14 = OpFunction  %12  None %15
%13 = OpLabel
OpBranch %16
%16 = OpLabel
%17 = OpCompositeConstruct  %12  %3 %3
%18 = OpCompositeConstruct  %12  %5 %5
%19 = OpCompositeConstruct  %12  %5 %5
%20 = OpExtInst  %12  %1 Fma %17 %18 %19
OpReturnValue %20
OpFunctionEnd
%22 = OpFunction  %7  None %23
%21 = OpLabel
OpBranch %24
%24 = OpLabel
%26 = OpCompositeConstruct  %25  %6 %6
%27 = OpCompositeConstruct  %25  %6 %6
%30 = OpCompositeExtract  %7  %26 0
%31 = OpCompositeExtract  %7  %27 0
%32 = OpIMul  %7  %30 %31
%33 = OpIAdd  %7  %29 %32
%34 = OpCompositeExtract  %7  %26 1
%35 = OpCompositeExtract  %7  %27 1
%36 = OpIMul  %7  %34 %35
%28 = OpIAdd  %7  %33 %36
%38 = OpCompositeConstruct  %37  %8 %8 %8
%39 = OpCompositeConstruct  %37  %8 %8 %8
%42 = OpCompositeExtract  %9  %38 0
%43 = OpCompositeExtract  %9  %39 0
%44 = OpIMul  %9  %42 %43
%45 = OpIAdd  %9  %41 %44
%46 = OpCompositeExtract  %9  %38 1
%47 = OpCompositeExtract  %9  %39 1
%48 = OpIMul  %9  %46 %47
%49 = OpIAdd  %9  %45 %48
%50 = OpCompositeExtract  %9  %38 2
%51 = OpCompositeExtract  %9  %39 2
%52 = OpIMul  %9  %50 %51
%40 = OpIAdd  %9  %49 %52
%54 = OpCompositeConstruct  %53  %10 %10 %10 %10
%55 = OpCompositeConstruct  %53  %11 %11 %11 %11
%58 = OpCompositeExtract  %7  %54 0
%59 = OpCompositeExtract  %7  %55 0
%60 = OpIMul  %7  %58 %59
%61 = OpIAdd  %7  %57 %60
%62 = OpCompositeExtract  %7  %54 1
%63 = OpCompositeExtract  %7  %55 1
%64 = OpIMul  %7  %62 %63
%65 = OpIAdd  %7  %61 %64
%66 = OpCompositeExtract  %7  %54 2
%67 = OpCompositeExtract  %7  %55 2
%68 = OpIMul  %7  %66 %67
%69 = OpIAdd  %7  %65 %68
%70 = OpCompositeExtract  %7  %54 3
%71 = OpCompositeExtract  %7  %55 3
%72 = OpIMul  %7  %70 %71
%56 = OpIAdd  %7  %69 %72
OpReturnValue %56
OpFunctionEnd
%74 = OpFunction  %2  None %75
%73 = OpLabel
OpBranch %76
%76 = OpLabel
%77 = OpFunctionCall  %12  %14
%78 = OpFunctionCall  %7  %22
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/globals.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 169
OpCapability Shader
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %114 "main"
OpExecutionMode %114 LocalSize 1 1 1
OpDecorate %25 ArrayStride 4
OpMemberDecorate %27 0 Offset 0
OpMemberDecorate %27 1 Offset 12
OpDecorate %29 ArrayStride 8
OpDecorate %31 ArrayStride 16
OpDecorate %34 ArrayStride 32
OpDecorate %35 ArrayStride 64
OpDecorate %37 ArrayStride 32
OpDecorate %38 ArrayStride 64
OpDecorate %46 DescriptorSet 0
OpDecorate %46 Binding 1
OpDecorate %47 Block
OpMemberDecorate %47 0 Offset 0
OpDecorate %49 NonWritable
OpDecorate %49 DescriptorSet 0
OpDecorate %49 Binding 2
OpDecorate %50 Block
OpMemberDecorate %50 0 Offset 0
OpDecorate %52 DescriptorSet 0
OpDecorate %52 Binding 3
OpDecorate %53 Block
OpMemberDecorate %53 0 Offset 0
OpDecorate %55 DescriptorSet 0
OpDecorate %55 Binding 4
OpDecorate %56 Block
OpMemberDecorate %56 0 Offset 0
OpDecorate %58 DescriptorSet 0
OpDecorate %58 Binding 5
OpDecorate %59 Block
OpMemberDecorate %59 0 Offset 0
OpMemberDecorate %59 0 ColMajor
OpMemberDecorate %59 0 MatrixStride 8
OpDecorate %61 DescriptorSet 0
OpDecorate %61 Binding 6
OpDecorate %62 Block
OpMemberDecorate %62 0 Offset 0
OpDecorate %64 DescriptorSet 0
OpDecorate %64 Binding 7
OpDecorate %65 Block
OpMemberDecorate %65 0 Offset 0
%2 = OpTypeVoid
%4 = OpTypeBool
%3 = OpConstantTrue  %4
%6 = OpTypeInt 32 0
%5 = OpConstant  %6  10
%8 = OpTypeInt 32 1
%7 = OpConstant  %8  20
%9 = OpConstant  %8  2
%11 = OpTypeFloat 32
%10 = OpConstant  %11  1.0
%12 = OpConstant  %8  1
%13 = OpConstant  %8  0
%14 = OpConstant  %11  2.0
%15 = OpConstant  %11  3.0
%16 = OpConstant  %11  0.0
%17 = OpConstant  %8  7
%18 = OpConstant  %8  6
%19 = OpConstant  %8  5
%20 = OpConstant  %8  4
%21 = OpConstant  %8  3
%22 = OpConstant  %11  4.0
%23 = OpConstant  %6  2
%24 = OpConstantTrue  %4
%25 = OpTypeArray %11 %5
%26 = OpTypeVector %11 3
%27 = OpTypeStruct %26 %11
%28 = OpTypeVector %11 2
%29 = OpTypeRuntimeArray %28
%30 = OpTypeVector %11 4
%31 = OpTypeArray %30 %7
%32 = OpTypeMatrix %28 3
%33 = OpTypeMatrix %30 2
%34 = OpTypeArray %33 %9
%35 = OpTypeArray %34 %9
%36 = OpTypeMatrix %28 4
%37 = OpTypeArray %36 %9
%38 = OpTypeArray %37 %9
%39 = OpTypeMatrix %26 3
%40 = OpConstantComposite  %26  %16 %16 %16
%41 = OpConstantComposite  %39  %40 %40 %40
%43 = OpTypePointer Workgroup %25
%42 = OpVariable  %43  Workgroup
%45 = OpTypePointer Workgroup %6
%44 = OpVariable  %45  Workgroup
%47 = OpTypeStruct %27
%48 = OpTypePointer StorageBuffer %47
%46 = OpVariable  %48  StorageBuffer
%50 = OpTypeStruct %29
%51 = OpTypePointer StorageBuffer %50
%49 = OpVariable  %51  StorageBuffer
%53 = OpTypeStruct %31
%54 = OpTypePointer Uniform %53
%52 = OpVariable  %54  Uniform
%56 = OpTypeStruct %26
%57 = OpTypePointer Uniform %56
%55 = OpVariable  %57  Uniform
%59 = OpTypeStruct %32
%60 = OpTypePointer Uniform %59
%58 = OpVariable  %60  Uniform
%62 = OpTypeStruct %35
%63 = OpTypePointer Uniform %62
%61 = OpVariable  %63  Uniform
%65 = OpTypeStruct %38
%66 = OpTypePointer Uniform %65
%64 = OpVariable  %66  Uniform
%70 = OpTypeFunction %2 %26
%71 = OpTypePointer StorageBuffer %29
%72 = OpTypePointer Uniform %26
%73 = OpTypePointer StorageBuffer %27
%74 = OpTypePointer Uniform %35
%75 = OpTypePointer Uniform %31
%76 = OpTypePointer Uniform %38
%77 = OpTypePointer Uniform %32
%80 = OpTypePointer Function %8
%83 = OpTypeFunction %2
%84 = OpConstant  %6  0
%87 = OpTypePointer StorageBuffer %26
%90 = OpTypePointer StorageBuffer %11
%110 = OpTypePointer Function %11
%112 = OpTypePointer Function %4
%124 = OpTypePointer Workgroup %11
%125 = OpTypePointer Uniform %37
%126 = OpTypePointer Uniform %36
%129 = OpTypePointer Uniform %34
%130 = OpTypePointer Uniform %33
%131 = OpTypePointer Uniform %30
%136 = OpConstant  %6  7
%142 = OpConstant  %6  6
%144 = OpTypePointer StorageBuffer %28
%145 = OpConstant  %6  1
%148 = OpConstant  %6  5
%150 = OpTypePointer Uniform %30
%151 = OpTypePointer Uniform %11
%152 = OpConstant  %6  3
%155 = OpConstant  %6  4
%157 = OpTypePointer StorageBuffer %11
%168 = OpConstant  %6  256
%69 = OpFunction  %2  None %70
%68 = OpFunctionParameter  %26
%67 = OpLabel
OpBranch %78
%78 = OpLabel
OpReturn
OpFunctionEnd
%82 = OpFunction  %2  None %83
%81 = OpLabel
%79 = OpVariable  %80  Function %12
%85 = OpAccessChain  %73  %46 %84
OpBranch %86
%86 = OpLabel
%88 = OpCompositeConstruct  %26  %10 %10 %10
%89 = OpAccessChain  %87  %85 %84
OpStore %89 %88
%91 = OpAccessChain  %90  %85 %84 %84
OpStore %91 %10
%92 = OpAccessChain  %90  %85 %84 %84
OpStore %92 %14
%93 = OpLoad  %8  %79
%94 = OpAccessChain  %90  %85 %84 %93
OpStore %94 %15
%95 = OpLoad  %27  %85
%96 = OpCompositeExtract  %26  %95 0
%97 = OpCompositeExtract  %26  %95 0
%98 = OpVectorShuffle  %28  %97 %97 2 0
%99 = OpCompositeExtract  %26  %95 0
%100 = OpFunctionCall  %2  %69 %99
%101 = OpCompositeExtract  %26  %95 0
%102 = OpVectorTimesMatrix  %26  %101 %41
%103 = OpCompositeExtract  %26  %95 0
%104 = OpMatrixTimesVector  %26  %41 %103
%105 = OpCompositeExtract  %26  %95 0
%106 = OpVectorTimesScalar  %26  %105 %14
%107 = OpCompositeExtract  %26  %95 0
%108 = OpVectorTimesScalar  %26  %107 %14
OpReturn
OpFunctionEnd
%114 = OpFunction  %2  None %83
%113 = OpLabel
%109 = OpVariable  %110  Function %10
%111 = OpVariable  %112  Function %24
%115 = OpAccessChain  %73  %46 %84
%116 = OpAccessChain  %71  %49 %84
%117 = OpAccessChain  %75  %52 %84
%118 = OpAccessChain  %72  %55 %84
%119 = OpAccessChain  %77  %58 %84
%120 = OpAccessChain  %74  %61 %84
%121 = OpAccessChain  %76  %64 %84
OpBranch %122
%122 = OpLabel
%123 = OpFunctionCall  %2  %82
%127 = OpAccessChain  %126  %121 %84 %84
%128 = OpLoad  %36  %127
%132 = OpAccessChain  %131  %120 %84 %84 %84
%133 = OpLoad  %30  %132
%134 = OpMatrixTimesVector  %28  %128 %133
%135 = OpCompositeExtract  %11  %134 0
%137 = OpAccessChain  %124  %42 %136
OpStore %137 %135
%138 = OpLoad  %32  %119
%139 = OpLoad  %26  %118
%140 = OpMatrixTimesVector  %28  %138 %139
%141 = OpCompositeExtract  %11  %140 0
%143 = OpAccessChain  %124  %42 %142
OpStore %143 %141
%146 = OpAccessChain  %90  %116 %145 %145
%147 = OpLoad  %11  %146
%149 = OpAccessChain  %124  %42 %148
OpStore %149 %147
%153 = OpAccessChain  %151  %117 %84 %152
%154 = OpLoad  %11  %153
%156 = OpAccessChain  %124  %42 %155
OpStore %156 %154
%158 = OpAccessChain  %157  %115 %145
%159 = OpLoad  %11  %158
%160 = OpAccessChain  %124  %42 %152
OpStore %160 %159
%161 = OpAccessChain  %90  %115 %84 %84
%162 = OpLoad  %11  %161
%163 = OpAccessChain  %124  %42 %23
OpStore %163 %162
%164 = OpAccessChain  %157  %115 %145
OpStore %164 %22
%165 = OpArrayLength  %6  %49 0
%166 = OpConvertUToF  %11  %165
%167 = OpAccessChain  %124  %42 %145
OpStore %167 %166
OpAtomicStore %44 %9 %168 %23
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/image.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 306
OpCapability SampledCubeArray
OpCapability ImageQuery
OpCapability Image1D
OpCapability Shader
OpCapability Sampled1D
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %76 "main" %73
OpEntryPoint GLCompute %121 "depth_load" %119
OpEntryPoint Vertex %142 "queries" %140
OpEntryPoint Vertex %194 "levels_queries" %193
OpEntryPoint Fragment %223 "texture_sample" %222
OpEntryPoint Fragment %252 "texture_sample_comparison" %250
OpEntryPoint Fragment %272 "gather" %271
OpEntryPoint Fragment %294 "depth_no_comparison" %293
OpExecutionMode %76 LocalSize 16 1 1
OpExecutionMode %121 LocalSize 16 1 1
OpExecutionMode %223 OriginUpperLeft
OpExecutionMode %252 OriginUpperLeft
OpExecutionMode %272 OriginUpperLeft
OpExecutionMode %294 OriginUpperLeft
OpSource GLSL 450
OpName %34 "image_mipmapped_src"
OpName %36 "image_multisampled_src"
OpName %38 "image_depth_multisampled_src"
OpName %40 "image_storage_src"
OpName %42 "image_array_src"
OpName %44 "image_dup_src"
OpName %46 "image_1d_src"
OpName %48 "image_dst"
OpName %50 "image_1d"
OpName %52 "image_2d"
OpName %54 "image_2d_array"
OpName %56 "image_cube"
OpName %58 "image_cube_array"
OpName %60 "image_3d"
OpName %62 "image_aa"
OpName %64 "sampler_reg"
OpName %66 "sampler_cmp"
OpName %68 "image_2d_depth"
OpName %70 "image_cube_depth"
OpName %73 "local_id"
OpName %76 "main"
OpName %119 "local_id"
OpName %121 "depth_load"
OpName %142 "queries"
OpName %194 "levels_queries"
OpName %223 "texture_sample"
OpName %252 "texture_sample_comparison"
OpName %272 "gather"
OpName %294 "depth_no_comparison"
OpDecorate %34 DescriptorSet 0
OpDecorate %34 Binding 0
OpDecorate %36 DescriptorSet 0
OpDecorate %36 Binding 3
OpDecorate %38 DescriptorSet 0
OpDecorate %38 Binding 4
OpDecorate %40 NonWritable
OpDecorate %40 DescriptorSet 0
OpDecorate %40 Binding 1
OpDecorate %42 DescriptorSet 0
OpDecorate %42 Binding 5
OpDecorate %44 NonWritable
OpDecorate %44 DescriptorSet 0
OpDecorate %44 Binding 6
OpDecorate %46 DescriptorSet 0
OpDecorate %46 Binding 7
OpDecorate %48 NonReadable
OpDecorate %48 DescriptorSet 0
OpDecorate %48 Binding 2
OpDecorate %50 DescriptorSet 0
OpDecorate %50 Binding 0
OpDecorate %52 DescriptorSet 0
OpDecorate %52 Binding 1
OpDecorate %54 DescriptorSet 0
OpDecorate %54 Binding 2
OpDecorate %56 DescriptorSet 0
OpDecorate %56 Binding 3
OpDecorate %58 DescriptorSet 0
OpDecorate %58 Binding 4
OpDecorate %60 DescriptorSet 0
OpDecorate %60 Binding 5
OpDecorate %62 DescriptorSet 0
OpDecorate %62 Binding 6
OpDecorate %64 DescriptorSet 1
OpDecorate %64 Binding 0
OpDecorate %66 DescriptorSet 1
OpDecorate %66 Binding 1
OpDecorate %68 DescriptorSet 1
OpDecorate %68 Binding 2
OpDecorate %70 DescriptorSet 1
OpDecorate %70 Binding 3
OpDecorate %73 BuiltIn LocalInvocationId
OpDecorate %119 BuiltIn LocalInvocationId
OpDecorate %140 BuiltIn Position
OpDecorate %193 BuiltIn Position
OpDecorate %222 Location 0
OpDecorate %250 Location 0
OpDecorate %271 Location 0
OpDecorate %293 Location 0
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  10
%5 = OpConstant  %4  20
%6 = OpConstant  %4  1
%8 = OpTypeFloat 32
%7 = OpConstant  %8  0.5
%9 = OpConstant  %8  2.3
%10 = OpConstant  %4  3
%11 = OpConstant  %8  2.0
%13 = OpTypeInt 32 0
%12 = OpTypeImage %13 2D 0 0 0 1 Unknown
%14 = OpTypeImage %13 2D 0 0 1 1 Unknown
%15 = OpTypeImage %8 2D 1 0 1 1 Unknown
%16 = OpTypeImage %13 2D 0 0 0 2 Rgba8ui
%17 = OpTypeImage %13 2D 0 1 0 1 Unknown
%18 = OpTypeImage %13 1D 0 0 0 2 R32ui
%19 = OpTypeImage %13 1D 0 0 0 1 Unknown
%20 = OpTypeVector %13 3
%21 = OpTypeVector %4 2
%22 = OpTypeImage %8 1D 0 0 0 1 Unknown
%23 = OpTypeImage %8 2D 0 0 0 1 Unknown
%24 = OpTypeImage %8 2D 0 1 0 1 Unknown
%25 = OpTypeImage %8 Cube 0 0 0 1 Unknown
%26 = OpTypeImage %8 Cube 0 1 0 1 Unknown
%27 = OpTypeImage %8 3D 0 0 0 1 Unknown
%28 = OpTypeImage %8 2D 0 0 1 1 Unknown
%29 = OpTypeVector %8 4
%30 = OpTypeSampler
%31 = OpTypeImage %8 2D 1 0 0 1 Unknown
%32 = OpTypeImage %8 Cube 1 0 0 1 Unknown
%33 = OpConstantComposite  %21  %10 %6
%35 = OpTypePointer UniformConstant %12
%34 = OpVariable  %35  UniformConstant
%37 = OpTypePointer UniformConstant %14
%36 = OpVariable  %37  UniformConstant
%39 = OpTypePointer UniformConstant %15
%38 = OpVariable  %39  UniformConstant
%41 = OpTypePointer UniformConstant %16
%40 = OpVariable  %41  UniformConstant
%43 = OpTypePointer UniformConstant %17
%42 = OpVariable  %43  UniformConstant
%45 = OpTypePointer UniformConstant %18
%44 = OpVariable  %45  UniformConstant
%47 = OpTypePointer UniformConstant %19
%46 = OpVariable  %47  UniformConstant
%49 = OpTypePointer UniformConstant %18
%48 = OpVariable  %49  UniformConstant
%51 = OpTypePointer UniformConstant %22
%50 = OpVariable  %51  UniformConstant
%53 = OpTypePointer UniformConstant %23
%52 = OpVariable  %53  UniformConstant
%55 = OpTypePointer UniformConstant %24
%54 = OpVariable  %55  UniformConstant
%57 = OpTypePointer UniformConstant %25
%56 = OpVariable  %57  UniformConstant
%59 = OpTypePointer UniformConstant %26
%58 = OpVariable  %59  UniformConstant
%61 = OpTypePointer UniformConstant %27
%60 = OpVariable  %61  UniformConstant
%63 = OpTypePointer UniformConstant %28
%62 = OpVariable  %63  UniformConstant
%65 = OpTypePointer UniformConstant %30
%64 = OpVariable  %65  UniformConstant
%67 = OpTypePointer UniformConstant %30
%66 = OpVariable  %67  UniformConstant
%69 = OpTypePointer UniformConstant %31
%68 = OpVariable  %69  UniformConstant
%71 = OpTypePointer UniformConstant %32
%70 = OpVariable  %71  UniformConstant
%74 = OpTypePointer Input %20
%73 = OpVariable  %74  Input
%77 = OpTypeFunction %2
%86 = OpTypeVector %13 2
%94 = OpTypeVector %13 4
%105 = OpTypeVector %4 3
%119 = OpVariable  %74  Input
%141 = OpTypePointer Output %29
%140 = OpVariable  %141  Output
%151 = OpConstant  %13  0
%193 = OpVariable  %141  Output
%222 = OpVariable  %141  Output
%228 = OpTypeVector %8 2
%231 = OpTypeSampledImage %22
%234 = OpTypeSampledImage %23
%251 = OpTypePointer Output %8
%250 = OpVariable  %251  Output
%258 = OpTypeSampledImage %31
%263 = OpConstant  %8  0.0
%264 = OpTypeVector %8 3
%266 = OpTypeSampledImage %32
%271 = OpVariable  %141  Output
%281 = OpConstant  %13  1
%284 = OpConstant  %13  3
%293 = OpVariable  %141  Output
%76 = OpFunction  %2  None %77
%72 = OpLabel
%75 = OpLoad  %20  %73
%78 = OpLoad  %12  %34
%79 = OpLoad  %14  %36
%80 = OpLoad  %16  %40
%81 = OpLoad  %17  %42
%82 = OpLoad  %19  %46
%83 = OpLoad  %18  %48
OpBranch %84
%84 = OpLabel
%85 = OpImageQuerySize  %21  %80
%87 = OpVectorShuffle  %86  %75 %75 0 1
%88 = OpBitcast  %21  %87
%89 = OpIMul  %21  %85 %88
%90 = OpCompositeConstruct  %21  %3 %5
%91 = OpSRem  %21  %89 %90
%92 = OpCompositeExtract  %13  %75 2
%93 = OpBitcast  %4  %92
%95 = OpImageFetch  %94  %78 %91 Lod %93
%96 = OpCompositeExtract  %13  %75 2
%97 = OpBitcast  %4  %96
%98 = OpImageFetch  %94  %79 %91 Sample %97
%99 = OpImageRead  %94  %80 %91
%100 = OpCompositeExtract  %13  %75 2
%101 = OpBitcast  %4  %100
%102 = OpCompositeExtract  %13  %75 2
%103 = OpBitcast  %4  %102
%104 = OpIAdd  %4  %103 %6
%106 = OpCompositeConstruct  %105  %91 %101
%107 = OpImageFetch  %94  %81 %106 Lod %104
%108 = OpCompositeExtract  %13  %75 0
%109 = OpBitcast  %4  %108
%110 = OpCompositeExtract  %13  %75 2
%111 = OpBitcast  %4  %110
%112 = OpImageFetch  %94  %82 %109 Lod %111
%113 = OpCompositeExtract  %4  %91 0
%114 = OpIAdd  %94  %95 %98
%115 = OpIAdd  %94  %114 %99
%116 = OpIAdd  %94  %115 %107
%117 = OpIAdd  %94  %116 %112
OpImageWrite %83 %113 %117
OpReturn
OpFunctionEnd
%121 = OpFunction  %2  None %77
%118 = OpLabel
%120 = OpLoad  %20  %119
%122 = OpLoad  %15  %38
%123 = OpLoad  %16  %40
%124 = OpLoad  %18  %48
OpBranch %125
%125 = OpLabel
%126 = OpImageQuerySize  %21  %123
%127 = OpVectorShuffle  %86  %120 %120 0 1
%128 = OpBitcast  %21  %127
%129 = OpIMul  %21  %126 %128
%130 = OpCompositeConstruct  %21  %3 %5
%131 = OpSRem  %21  %129 %130
%132 = OpCompositeExtract  %13  %120 2
%133 = OpBitcast  %4  %132
%134 = OpImageFetch  %29  %122 %131 Sample %133
%135 = OpCompositeExtract  %8  %134 0
%136 = OpCompositeExtract  %4  %131 0
%137 = OpConvertFToU  %13  %135
%138 = OpCompositeConstruct  %94  %137 %137 %137 %137
OpImageWrite %124 %136 %138
OpReturn
OpFunctionEnd
%142 = OpFunction  %2  None %77
%139 = OpLabel
%143 = OpLoad  %22  %50
%144 = OpLoad  %23  %52
%145 = OpLoad  %24  %54
%146 = OpLoad  %25  %56
%147 = OpLoad  %26  %58
%148 = OpLoad  %27  %60
%149 = OpLoad  %28  %62
OpBranch %150
%150 = OpLabel
%152 = OpImageQuerySizeLod  %4  %143 %151
%154 = OpImageQuerySizeLod  %4  %143 %152
%155 = OpImageQuerySizeLod  %21  %144 %151
%156 = OpImageQuerySizeLod  %21  %144 %6
%157 = OpImageQuerySizeLod  %105  %145 %151
%158 = OpVectorShuffle  %21  %157 %157 0 1
%159 = OpImageQuerySizeLod  %105  %145 %6
%160 = OpVectorShuffle  %21  %159 %159 0 1
%161 = OpImageQuerySizeLod  %21  %146 %151
%162 = OpImageQuerySizeLod  %21  %146 %6
%163 = OpImageQuerySizeLod  %105  %147 %151
%164 = OpVectorShuffle  %21  %163 %163 0 0
%165 = OpImageQuerySizeLod  %105  %147 %6
%166 = OpVectorShuffle  %21  %165 %165 0 0
%167 = OpImageQuerySizeLod  %105  %148 %151
%168 = OpImageQuerySizeLod  %105  %148 %6
%169 = OpImageQuerySize  %21  %149
%170 = OpCompositeExtract  %4  %155 1
%171 = OpIAdd  %4  %152 %170
%172 = OpCompositeExtract  %4  %156 1
%173 = OpIAdd  %4  %171 %172
%174 = OpCompositeExtract  %4  %158 1
%175 = OpIAdd  %4  %173 %174
%176 = OpCompositeExtract  %4  %160 1
%177 = OpIAdd  %4  %175 %176
%178 = OpCompositeExtract  %4  %161 1
%179 = OpIAdd  %4  %177 %178
%180 = OpCompositeExtract  %4  %162 1
%181 = OpIAdd  %4  %179 %180
%182 = OpCompositeExtract  %4  %164 1
%183 = OpIAdd  %4  %181 %182
%184 = OpCompositeExtract  %4  %166 1
%185 = OpIAdd  %4  %183 %184
%186 = OpCompositeExtract  %4  %167 2
%187 = OpIAdd  %4  %185 %186
%188 = OpCompositeExtract  %4  %168 2
%189 = OpIAdd  %4  %187 %188
%190 = OpConvertSToF  %8  %189
%191 = OpCompositeConstruct  %29  %190 %190 %190 %190
OpStore %140 %191
OpReturn
OpFunctionEnd
%194 = OpFunction  %2  None %77
%192 = OpLabel
%195 = OpLoad  %23  %52
%196 = OpLoad  %24  %54
%197 = OpLoad  %25  %56
%198 = OpLoad  %26  %58
%199 = OpLoad  %27  %60
%200 = OpLoad  %28  %62
OpBranch %201
%201 = OpLabel
%202 = OpImageQueryLevels  %4  %195
%203 = OpImageQueryLevels  %4  %196
%204 = OpImageQuerySizeLod  %105  %196 %151
%205 = OpCompositeExtract  %4  %204 2
%206 = OpImageQueryLevels  %4  %197
%207 = OpImageQueryLevels  %4  %198
%208 = OpImageQuerySizeLod  %105  %198 %151
%209 = OpCompositeExtract  %4  %208 2
%210 = OpImageQueryLevels  %4  %199
%211 = OpImageQuerySamples  %4  %200
%212 = OpIAdd  %4  %205 %209
%213 = OpIAdd  %4  %212 %211
%214 = OpIAdd  %4  %213 %202
%215 = OpIAdd  %4  %214 %203
%216 = OpIAdd  %4  %215 %210
%217 = OpIAdd  %4  %216 %206
%218 = OpIAdd  %4  %217 %207
%219 = OpConvertSToF  %8  %218
%220 = OpCompositeConstruct  %29  %219 %219 %219 %219
OpStore %193 %220
OpReturn
OpFunctionEnd
%223 = OpFunction  %2  None %77
%221 = OpLabel
%224 = OpLoad  %22  %50
%225 = OpLoad  %23  %52
%226 = OpLoad  %30  %64
OpBranch %227
%227 = OpLabel
%229 = OpCompositeConstruct  %228  %7 %7
%230 = OpCompositeExtract  %8  %229 0
%232 = OpSampledImage  %231  %224 %226
%233 = OpImageSampleImplicitLod  %29  %232 %230
%235 = OpSampledImage  %234  %225 %226
%236 = OpImageSampleImplicitLod  %29  %235 %229
%237 = OpSampledImage  %234  %225 %226
%238 = OpImageSampleImplicitLod  %29  %237 %229 ConstOffset %33
%239 = OpSampledImage  %234  %225 %226
%240 = OpImageSampleExplicitLod  %29  %239 %229 Lod %9
%241 = OpSampledImage  %234  %225 %226
%242 = OpImageSampleExplicitLod  %29  %241 %229 Lod|ConstOffset %9 %33
%243 = OpSampledImage  %234  %225 %226
%244 = OpImageSampleImplicitLod  %29  %243 %229 Bias|ConstOffset %11 %33
%245 = OpFAdd  %29  %233 %236
%246 = OpFAdd  %29  %245 %238
%247 = OpFAdd  %29  %246 %240
%248 = OpFAdd  %29  %247 %242
OpStore %222 %248
OpReturn
OpFunctionEnd
%252 = OpFunction  %2  None %77
%249 = OpLabel
%253 = OpLoad  %30  %66
%254 = OpLoad  %31  %68
%255 = OpLoad  %32  %70
OpBranch %256
%256 = OpLabel
%257 = OpCompositeConstruct  %228  %7 %7
%259 = OpSampledImage  %258  %254 %253
%260 = OpImageSampleDrefImplicitLod  %8  %259 %257 %7
%261 = OpSampledImage  %258  %254 %253
%262 = OpImageSampleDrefExplicitLod  %8  %261 %257 %7 Lod %263
%265 = OpCompositeConstruct  %264  %7 %7 %7
%267 = OpSampledImage  %266  %255 %253
%268 = OpImageSampleDrefExplicitLod  %8  %267 %265 %7 Lod %263
%269 = OpFAdd  %8  %260 %262
OpStore %250 %269
OpReturn
OpFunctionEnd
%272 = OpFunction  %2  None %77
%270 = OpLabel
%273 = OpLoad  %23  %52
%274 = OpLoad  %30  %64
%275 = OpLoad  %30  %66
%276 = OpLoad  %31  %68
OpBranch %277
%277 = OpLabel
%278 = OpCompositeConstruct  %228  %7 %7
%279 = OpSampledImage  %234  %273 %274
%280 = OpImageGather  %29  %279 %278 %281
%282 = OpSampledImage  %234  %273 %274
%283 = OpImageGather  %29  %282 %278 %284 ConstOffset %33
%285 = OpSampledImage  %258  %276 %275
%286 = OpImageDrefGather  %29  %285 %278 %7
%287 = OpSampledImage  %258  %276 %275
%288 = OpImageDrefGather  %29  %287 %278 %7 ConstOffset %33
%289 = OpFAdd  %29  %280 %283
%290 = OpFAdd  %29  %289 %286
%291 = OpFAdd  %29  %290 %288
OpStore %271 %291
OpReturn
OpFunctionEnd
%294 = OpFunction  %2  None %77
%292 = OpLabel
%295 = OpLoad  %30  %64
%296 = OpLoad  %31  %68
OpBranch %297
%297 = OpLabel
%298 = OpCompositeConstruct  %228  %7 %7
%299 = OpSampledImage  %258  %296 %295
%300 = OpImageSampleImplicitLod  %29  %299 %298
%301 = OpCompositeExtract  %8  %300 0
%302 = OpSampledImage  %258  %296 %295
%303 = OpImageGather  %29  %302 %298 %151
%304 = OpCompositeConstruct  %29  %301 %301 %301 %301
%305 = OpFAdd  %29  %304 %303
OpStore %293 %305
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/interface.compute.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 49
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %35 "compute" %23 %26 %28 %31 %33
OpExecutionMode %35 LocalSize 1 1 1
OpMemberDecorate %13 0 Offset 0
OpMemberDecorate %13 1 Offset 16
OpMemberDecorate %14 0 Offset 0
OpMemberDecorate %14 1 Offset 4
OpMemberDecorate %14 2 Offset 8
OpDecorate %16 ArrayStride 4
OpMemberDecorate %18 0 Offset 0
OpMemberDecorate %19 0 Offset 0
OpDecorate %23 BuiltIn GlobalInvocationId
OpDecorate %26 BuiltIn LocalInvocationId
OpDecorate %28 BuiltIn LocalInvocationIndex
OpDecorate %31 BuiltIn WorkgroupId
OpDecorate %33 BuiltIn NumWorkgroups
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  1.0
%6 = OpTypeInt 32 0
%5 = OpConstant  %6  1
%7 = OpConstant  %4  0.0
%9 = OpTypeInt 32 1
%8 = OpConstant  %9  1
%10 = OpConstant  %9  0
%11 = OpConstant  %6  2
%12 = OpTypeVector %4 4
%13 = OpTypeStruct %12 %4
%14 = OpTypeStruct %4 %6 %4
%15 = OpTypeBool
%16 = OpTypeArray %6 %8
%17 = OpTypeVector %6 3
%18 = OpTypeStruct %6
%19 = OpTypeStruct %6
%21 = OpTypePointer Workgroup %16
%20 = OpVariable  %21  Workgroup
%24 = OpTypePointer Input %17
%23 = OpVariable  %24  Input
%26 = OpVariable  %24  Input
%29 = OpTypePointer Input %6
%28 = OpVariable  %29  Input
%31 = OpVariable  %24  Input
%33 = OpVariable  %24  Input
%36 = OpTypeFunction %2
%38 = OpTypePointer Workgroup %6
%47 = OpConstant  %6  0
%35 = OpFunction  %2  None %36
%22 = OpLabel
%25 = OpLoad  %17  %23
%27 = OpLoad  %17  %26
%30 = OpLoad  %6  %28
%32 = OpLoad  %17  %31
%34 = OpLoad  %17  %33
OpBranch %37
%37 = OpLabel
%39 = OpCompositeExtract  %6  %25 0
%40 = OpCompositeExtract  %6  %27 0
%41 = OpIAdd  %6  %39 %40
%42 = OpIAdd  %6  %41 %30
%43 = OpCompositeExtract  %6  %32 0
%44 = OpIAdd  %6  %42 %43
%45 = OpCompositeExtract  %6  %34 0
%46 = OpIAdd  %6  %44 %45
%48 = OpAccessChain  %38  %20 %47
OpStore %48 %46
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/interface.fragment.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 54
OpCapability Shader
OpCapability SampleRateShading
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Fragment %41 "fragment" %22 %25 %28 %31 %34 %36 %38 %40
OpExecutionMode %41 OriginUpperLeft
OpExecutionMode %41 DepthReplacing
OpMemberDecorate %13 0 Offset 0
OpMemberDecorate %13 1 Offset 16
OpMemberDecorate %14 0 Offset 0
OpMemberDecorate %14 1 Offset 4
OpMemberDecorate %14 2 Offset 8
OpDecorate %16 ArrayStride 4
OpMemberDecorate %18 0 Offset 0
OpMemberDecorate %19 0 Offset 0
OpDecorate %22 Invariant
OpDecorate %22 BuiltIn FragCoord
OpDecorate %25 Location 1
OpDecorate %28 BuiltIn FrontFacing
OpDecorate %28 Flat
OpDecorate %31 BuiltIn SampleId
OpDecorate %31 Flat
OpDecorate %34 BuiltIn SampleMask
OpDecorate %34 Flat
OpDecorate %36 BuiltIn FragDepth
OpDecorate %38 BuiltIn SampleMask
OpDecorate %40 Location 0
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  1.0
%6 = OpTypeInt 32 0
%5 = OpConstant  %6  1
%7 = OpConstant  %4  0.0
%9 = OpTypeInt 32 1
%8 = OpConstant  %9  1
%10 = OpConstant  %9  0
%11 = OpConstant  %6  2
%12 = OpTypeVector %4 4
%13 = OpTypeStruct %12 %4
%14 = OpTypeStruct %4 %6 %4
%15 = OpTypeBool
%16 = OpTypeArray %6 %8
%17 = OpTypeVector %6 3
%18 = OpTypeStruct %6
%19 = OpTypeStruct %6
%23 = OpTypePointer Input %12
%22 = OpVariable  %23  Input
%26 = OpTypePointer Input %4
%25 = OpVariable  %26  Input
%29 = OpTypePointer Input %15
%28 = OpVariable  %29  Input
%32 = OpTypePointer Input %6
%31 = OpVariable  %32  Input
%34 = OpVariable  %32  Input
%37 = OpTypePointer Output %4
%36 = OpVariable  %37  Output
%39 = OpTypePointer Output %6
%38 = OpVariable  %39  Output
%40 = OpVariable  %37  Output
%42 = OpTypeFunction %2
%41 = OpFunction  %2  None %42
%20 = OpLabel
%24 = OpLoad  %12  %22
%27 = OpLoad  %4  %25
%21 = OpCompositeConstruct  %13  %24 %27
%30 = OpLoad  %15  %28
%33 = OpLoad  %6  %31
%35 = OpLoad  %6  %34
OpBranch %43
%43 = OpLabel
%44 = OpShiftLeftLogical  %6  %5 %33
%45 = OpBitwiseAnd  %6  %35 %44
%46 = OpSelect  %4  %30 %3 %7
%47 = OpCompositeExtract  %4  %21 1
%48 = OpCompositeConstruct  %14  %47 %45 %46
%49 = OpCompositeExtract  %4  %48 0
OpStore %36 %49
%50 = OpLoad  %4  %36
%51 = OpExtInst  %4  %1 FClamp %50 %7 %3
OpStore %36 %51
%52 = OpCompositeExtract  %6  %48 1
OpStore %38 %52
%53 = OpCompositeExtract  %4  %48 2
OpStore %40 %53
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/interface.vertex.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 44
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %34 "vertex" %21 %24 %26 %28 %30 %32
OpMemberDecorate %13 0 Offset 0
OpMemberDecorate %13 1 Offset 16
OpMemberDecorate %14 0 Offset 0
OpMemberDecorate %14 1 Offset 4
OpMemberDecorate %14 2 Offset 8
OpDecorate %16 ArrayStride 4
OpMemberDecorate %18 0 Offset 0
OpMemberDecorate %19 0 Offset 0
OpDecorate %21 BuiltIn VertexIndex
OpDecorate %24 BuiltIn InstanceIndex
OpDecorate %26 Location 10
OpDecorate %28 Invariant
OpDecorate %28 BuiltIn Position
OpDecorate %30 Location 1
OpDecorate %32 BuiltIn PointSize
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  1.0
%6 = OpTypeInt 32 0
%5 = OpConstant  %6  1
%7 = OpConstant  %4  0.0
%9 = OpTypeInt 32 1
%8 = OpConstant  %9  1
%10 = OpConstant  %9  0
%11 = OpConstant  %6  2
%12 = OpTypeVector %4 4
%13 = OpTypeStruct %12 %4
%14 = OpTypeStruct %4 %6 %4
%15 = OpTypeBool
%16 = OpTypeArray %6 %8
%17 = OpTypeVector %6 3
%18 = OpTypeStruct %6
%19 = OpTypeStruct %6
%22 = OpTypePointer Input %6
%21 = OpVariable  %22  Input
%24 = OpVariable  %22  Input
%26 = OpVariable  %22  Input
%29 = OpTypePointer Output %12
%28 = OpVariable  %29  Output
%31 = OpTypePointer Output %4
%30 = OpVariable  %31  Output
%33 = OpTypePointer Output %4
%32 = OpVariable  %33  Output
%35 = OpTypeFunction %2
%34 = OpFunction  %2  None %35
%20 = OpLabel
%23 = OpLoad  %6  %21
%25 = OpLoad  %6  %24
%27 = OpLoad  %6  %26
OpStore %32 %3
OpBranch %36
%36 = OpLabel
%37 = OpIAdd  %6  %23 %25
%38 = OpIAdd  %6  %37 %27
%39 = OpCompositeConstruct  %12  %3 %3 %3 %3
%40 = OpConvertUToF  %4  %38
%41 = OpCompositeConstruct  %13  %39 %40
%42 = OpCompositeExtract  %12  %41 0
OpStore %28 %42
%43 = OpCompositeExtract  %4  %41 1
OpStore %30 %43
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/interface.vertex_two_structs.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 45
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %34 "vertex_two_structs" %24 %28 %30 %32
OpMemberDecorate %13 0 Offset 0
OpMemberDecorate %13 1 Offset 16
OpMemberDecorate %14 0 Offset 0
OpMemberDecorate %14 1 Offset 4
OpMemberDecorate %14 2 Offset 8
OpDecorate %16 ArrayStride 4
OpMemberDecorate %18 0 Offset 0
OpMemberDecorate %19 0 Offset 0
OpDecorate %24 BuiltIn VertexIndex
OpDecorate %28 BuiltIn InstanceIndex
OpDecorate %30 Invariant
OpDecorate %30 BuiltIn Position
OpDecorate %32 BuiltIn PointSize
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  1.0
%6 = OpTypeInt 32 0
%5 = OpConstant  %6  1
%7 = OpConstant  %4  0.0
%9 = OpTypeInt 32 1
%8 = OpConstant  %9  1
%10 = OpConstant  %9  0
%11 = OpConstant  %6  2
%12 = OpTypeVector %4 4
%13 = OpTypeStruct %12 %4
%14 = OpTypeStruct %4 %6 %4
%15 = OpTypeBool
%16 = OpTypeArray %6 %8
%17 = OpTypeVector %6 3
%18 = OpTypeStruct %6
%19 = OpTypeStruct %6
%21 = OpTypePointer Function %6
%25 = OpTypePointer Input %6
%24 = OpVariable  %25  Input
%28 = OpVariable  %25  Input
%31 = OpTypePointer Output %12
%30 = OpVariable  %31  Output
%33 = OpTypePointer Output %4
%32 = OpVariable  %33  Output
%35 = OpTypeFunction %2
%36 = OpTypePointer Workgroup %16
%34 = OpFunction  %2  None %35
%22 = OpLabel
%20 = OpVariable  %21  Function %11
%26 = OpLoad  %6  %24
%23 = OpCompositeConstruct  %18  %26
%29 = OpLoad  %6  %28
%27 = OpCompositeConstruct  %19  %29
OpStore %32 %3
OpBranch %37
%37 = OpLabel
%38 = OpCompositeExtract  %6  %23 0
%39 = OpConvertUToF  %4  %38
%40 = OpCompositeExtract  %6  %27 0
%41 = OpConvertUToF  %4  %40
%42 = OpLoad  %6  %20
%43 = OpConvertUToF  %4  %42
%44 = OpCompositeConstruct  %12  %39 %41 %43 %7
OpStore %30 %44
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/interpolate.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 111
OpCapability Shader
OpCapability SampleRateShading
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %46 "vert_main" %30 %32 %34 %36 %38 %40 %41 %42 %43
OpEntryPoint Fragment %109 "frag_main" %88 %91 %94 %97 %100 %103 %105 %107
OpExecutionMode %109 OriginUpperLeft
OpSource GLSL 450
OpMemberName %25 0 "position"
OpMemberName %25 1 "_flat"
OpMemberName %25 2 "_linear"
OpMemberName %25 3 "linear_centroid"
OpMemberName %25 4 "linear_sample"
OpMemberName %25 5 "perspective"
OpMemberName %25 6 "perspective_centroid"
OpMemberName %25 7 "perspective_sample"
OpName %25 "FragmentInput"
OpName %26 "out"
OpName %30 "position"
OpName %32 "_flat"
OpName %34 "_linear"
OpName %36 "linear_centroid"
OpName %38 "linear_sample"
OpName %40 "perspective"
OpName %41 "perspective_centroid"
OpName %42 "perspective_sample"
OpName %46 "vert_main"
OpName %88 "position"
OpName %91 "_flat"
OpName %94 "_linear"
OpName %97 "linear_centroid"
OpName %100 "linear_sample"
OpName %103 "perspective"
OpName %105 "perspective_centroid"
OpName %107 "perspective_sample"
OpName %109 "frag_main"
OpMemberDecorate %25 0 Offset 0
OpMemberDecorate %25 1 Offset 16
OpMemberDecorate %25 2 Offset 20
OpMemberDecorate %25 3 Offset 24
OpMemberDecorate %25 4 Offset 32
OpMemberDecorate %25 5 Offset 48
OpMemberDecorate %25 6 Offset 64
OpMemberDecorate %25 7 Offset 68
OpDecorate %30 BuiltIn Position
OpDecorate %32 Location 0
OpDecorate %32 Flat
OpDecorate %34 Location 1
OpDecorate %34 NoPerspective
OpDecorate %36 Location 2
OpDecorate %36 NoPerspective
OpDecorate %36 Centroid
OpDecorate %38 Location 3
OpDecorate %38 NoPerspective
OpDecorate %38 Sample
OpDecorate %40 Location 4
OpDecorate %41 Location 5
OpDecorate %41 Centroid
OpDecorate %42 Location 6
OpDecorate %42 Sample
OpDecorate %43 BuiltIn PointSize
OpDecorate %88 BuiltIn FragCoord
OpDecorate %91 Location 0
OpDecorate %91 Flat
OpDecorate %94 Location 1
OpDecorate %94 NoPerspective
OpDecorate %97 Location 2
OpDecorate %97 NoPerspective
OpDecorate %97 Centroid
OpDecorate %100 Location 3
OpDecorate %100 NoPerspective
OpDecorate %100 Sample
OpDecorate %103 Location 4
OpDecorate %105 Location 5
OpDecorate %105 Centroid
OpDecorate %107 Location 6
OpDecorate %107 Sample
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  2.0
%5 = OpConstant  %4  4.0
%6 = OpConstant  %4  5.0
%7 = OpConstant  %4  6.0
%9 = OpTypeInt 32 0
%8 = OpConstant  %9  8
%10 = OpConstant  %4  27.0
%11 = OpConstant  %4  64.0
%12 = OpConstant  %4  125.0
%13 = OpConstant  %4  216.0
%14 = OpConstant  %4  343.0
%15 = OpConstant  %4  512.0
%16 = OpConstant  %4  729.0
%17 = OpConstant  %4  1000.0
%18 = OpConstant  %4  1331.0
%19 = OpConstant  %4  1728.0
%20 = OpConstant  %4  2197.0
%21 = OpConstant  %4  2744.0
%22 = OpTypeVector %4 4
%23 = OpTypeVector %4 2
%24 = OpTypeVector %4 3
%25 = OpTypeStruct %22 %9 %4 %23 %24 %22 %4 %4
%27 = OpTypePointer Function %25
%28 = OpConstantNull  %25
%31 = OpTypePointer Output %22
%30 = OpVariable  %31  Output
%33 = OpTypePointer Output %9
%32 = OpVariable  %33  Output
%35 = OpTypePointer Output %4
%34 = OpVariable  %35  Output
%37 = OpTypePointer Output %23
%36 = OpVariable  %37  Output
%39 = OpTypePointer Output %24
%38 = OpVariable  %39  Output
%40 = OpVariable  %31  Output
%41 = OpVariable  %35  Output
%42 = OpVariable  %35  Output
%44 = OpTypePointer Output %4
%43 = OpVariable  %44  Output
%45 = OpConstant  %4  1.0
%47 = OpTypeFunction %2
%49 = OpTypePointer Function %22
%51 = OpConstant  %9  0
%53 = OpTypePointer Function %9
%54 = OpConstant  %9  1
%56 = OpTypePointer Function %4
%57 = OpConstant  %9  2
%59 = OpTypePointer Function %23
%61 = OpConstant  %9  3
%63 = OpTypePointer Function %24
%65 = OpConstant  %9  4
%68 = OpConstant  %9  5
%70 = OpConstant  %9  6
%72 = OpConstant  %9  7
%89 = OpTypePointer Input %22
%88 = OpVariable  %89  Input
%92 = OpTypePointer Input %9
%91 = OpVariable  %92  Input
%95 = OpTypePointer Input %4
%94 = OpVariable  %95  Input
%98 = OpTypePointer Input %23
%97 = OpVariable  %98  Input
%101 = OpTypePointer Input %24
%100 = OpVariable  %101  Input
%103 = OpVariable  %89  Input
%105 = OpVariable  %95  Input
%107 = OpVariable  %95  Input
%46 = OpFunction  %2  None %47
%29 = OpLabel
%26 = OpVariable  %27  Function %28
OpStore %43 %45
OpBranch %48
%48 = OpLabel
%50 = OpCompositeConstruct  %22  %3 %5 %6 %7
%52 = OpAccessChain  %49  %26 %51
OpStore %52 %50
%55 = OpAccessChain  %53  %26 %54
OpStore %55 %8
%58 = OpAccessChain  %56  %26 %57
OpStore %58 %10
%60 = OpCompositeConstruct  %23  %11 %12
%62 = OpAccessChain  %59  %26 %61
OpStore %62 %60
%64 = OpCompositeConstruct  %24  %13 %14 %15
%66 = OpAccessChain  %63  %26 %65
OpStore %66 %64
%67 = OpCompositeConstruct  %22  %16 %17 %18 %19
%69 = OpAccessChain  %49  %26 %68
OpStore %69 %67
%71 = OpAccessChain  %56  %26 %70
OpStore %71 %20
%73 = OpAccessChain  %56  %26 %72
OpStore %73 %21
%74 = OpLoad  %25  %26
%75 = OpCompositeExtract  %22  %74 0
OpStore %30 %75
%76 = OpAccessChain  %44  %30 %54
%77 = OpLoad  %4  %76
%78 = OpFNegate  %4  %77
OpStore %76 %78
%79 = OpCompositeExtract  %9  %74 1
OpStore %32 %79
%80 = OpCompositeExtract  %4  %74 2
OpStore %34 %80
%81 = OpCompositeExtract  %23  %74 3
OpStore %36 %81
%82 = OpCompositeExtract  %24  %74 4
OpStore %38 %82
%83 = OpCompositeExtract  %22  %74 5
OpStore %40 %83
%84 = OpCompositeExtract  %4  %74 6
OpStore %41 %84
%85 = OpCompositeExtract  %4  %74 7
OpStore %42 %85
OpReturn
OpFunctionEnd
%109 = OpFunction  %2  None %47
%86 = OpLabel
%90 = OpLoad  %22  %88
%93 = OpLoad  %9  %91
%96 = OpLoad  %4  %94
%99 = OpLoad  %23  %97
%102 = OpLoad  %24  %100
%104 = OpLoad  %22  %103
%106 = OpLoad  %4  %105
%108 = OpLoad  %4  %107
%87 = OpCompositeConstruct  %25  %90 %93 %96 %99 %102 %104 %106 %108
OpBranch %110
%110 = OpLabel
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/math-functions.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 36
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %13 "main"
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  1.0
%5 = OpConstant  %4  0.0
%7 = OpTypeInt 32 1
%6 = OpConstant  %7  0
%9 = OpTypeInt 32 0
%8 = OpConstant  %9  0
%10 = OpTypeVector %7 2
%11 = OpConstantComposite  %10  %6 %6
%14 = OpTypeFunction %2
%16 = OpTypeVector %4 4
%26 = OpConstantNull  %7
%13 = OpFunction  %2  None %14
%12 = OpLabel
OpBranch %15
%15 = OpLabel
%17 = OpCompositeConstruct  %16  %5 %5 %5 %5
%18 = OpExtInst  %4  %1 Degrees %3
%19 = OpExtInst  %4  %1 Radians %3
%20 = OpExtInst  %16  %1 Degrees %17
%21 = OpExtInst  %16  %1 Radians %17
%23 = OpCompositeConstruct  %16  %5 %5 %5 %5
%24 = OpCompositeConstruct  %16  %3 %3 %3 %3
%22 = OpExtInst  %16  %1 FClamp %17 %23 %24
%27 = OpCompositeExtract  %7  %11 0
%28 = OpCompositeExtract  %7  %11 0
%29 = OpIMul  %7  %27 %28
%30 = OpIAdd  %7  %26 %29
%31 = OpCompositeExtract  %7  %11 1
%32 = OpCompositeExtract  %7  %11 1
%33 = OpIMul  %7  %31 %32
%25 = OpIAdd  %7  %30 %33
%34 = OpCopyObject  %9  %8
%35 = OpExtInst  %9  %1 FindUMsb %34
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/multiview.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 11
OpCapability Shader
OpCapability MultiView
OpExtension "SPV_KHR_multiview"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %8 "main" %5
OpDecorate %5 BuiltIn ViewIndex
%2 = OpTypeVoid
%3 = OpTypeInt 32 1
%6 = OpTypePointer Input %3
%5 = OpVariable  %6  Input
%9 = OpTypeFunction %2
%8 = OpFunction  %2  None %9
%4 = OpLabel
%7 = OpLoad  %3  %5
OpBranch %10
%10 = OpLabel
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/operators.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 543
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint GLCompute %531 "main"
OpExecutionMode %531 LocalSize 1 1 1
OpMemberDecorate %31 0 Offset 0
OpMemberDecorate %31 1 Offset 16
OpDecorate %35 ArrayStride 32
OpDecorate %36 ArrayStride 4
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  1.0
%5 = OpConstant  %4  0.0
%6 = OpConstant  %4  0.5
%8 = OpTypeInt 32 1
%7 = OpConstant  %8  1
%10 = OpTypeBool
%9 = OpConstantTrue  %10
%11 = OpConstant  %8  0
%12 = OpConstantFalse  %10
%13 = OpConstant  %4  0.1
%14 = OpConstant  %4  2.0
%15 = OpConstant  %4  3.0
%16 = OpConstant  %4  4.0
%17 = OpConstant  %8  5
%18 = OpConstant  %8  2
%20 = OpTypeInt 32 0
%19 = OpConstant  %20  0
%21 = OpConstant  %8  3
%22 = OpConstant  %20  4
%23 = OpConstant  %4  -1.0
%24 = OpConstant  %20  2
%25 = OpConstant  %20  1
%26 = OpTypeVector %4 4
%27 = OpTypeVector %8 4
%28 = OpTypeVector %10 4
%29 = OpTypeVector %4 2
%30 = OpTypeVector %4 3
%31 = OpTypeStruct %26 %8
%32 = OpTypeMatrix %29 2
%33 = OpTypeMatrix %26 4
%34 = OpTypeVector %20 2
%35 = OpTypeArray %31 %21
%36 = OpTypeArray %8 %22
%37 = OpTypeMatrix %30 2
%38 = OpTypeMatrix %30 3
%39 = OpTypeMatrix %30 4
%40 = OpTypeMatrix %26 3
%41 = OpTypeVector %8 3
%42 = OpConstantComposite  %26  %3 %3 %3 %3
%43 = OpConstantComposite  %26  %5 %5 %5 %5
%44 = OpConstantComposite  %26  %6 %6 %6 %6
%45 = OpConstantComposite  %27  %7 %7 %7 %7
%46 = OpConstantComposite  %34  %19 %19
%47 = OpConstantComposite  %29  %5 %5
%48 = OpConstantComposite  %32  %47 %47
%49 = OpConstantComposite  %26  %5 %5 %5 %5
%50 = OpConstantComposite  %31  %49 %11
%51 = OpConstantComposite  %35  %50 %50 %50
%52 = OpConstantComposite  %30  %5 %5 %5
%53 = OpConstantComposite  %37  %52 %52
%54 = OpConstantComposite  %38  %52 %52 %52
%55 = OpConstantComposite  %39  %52 %52 %52 %52
%56 = OpConstantComposite  %40  %49 %49 %49
%57 = OpConstantComposite  %41  %11 %11 %11
%60 = OpTypeFunction %26
%100 = OpTypePointer Function %29
%101 = OpConstantNull  %29
%104 = OpTypeFunction %29
%120 = OpTypeFunction %30 %30
%122 = OpTypeVector %10 3
%129 = OpTypePointer Function %31
%130 = OpConstantNull  %31
%133 = OpTypeFunction %4
%158 = OpTypePointer Function %26
%159 = OpTypePointer Function %4
%164 = OpTypeFunction %2
%167 = OpTypeVector %10 2
%183 = OpTypeVector %8 2
%194 = OpTypeVector %20 3
%489 = OpTypePointer Function %8
%491 = OpTypePointer Function %41
%521 = OpTypePointer Function %8
%59 = OpFunction  %26  None %60
%58 = OpLabel
OpBranch %61
%61 = OpLabel
%62 = OpSelect  %8  %9 %7 %11
%64 = OpCompositeConstruct  %28  %9 %9 %9 %9
%63 = OpSelect  %26  %64 %42 %43
%65 = OpCompositeConstruct  %28  %12 %12 %12 %12
%66 = OpSelect  %26  %65 %43 %42
%67 = OpExtInst  %26  %1 FMix %43 %42 %44
%69 = OpCompositeConstruct  %26  %13 %13 %13 %13
%68 = OpExtInst  %26  %1 FMix %43 %42 %69
%70 = OpCompositeExtract  %8  %45 0
%71 = OpBitcast  %4  %70
%72 = OpBitcast  %26  %45
%73 = OpConvertFToS  %27  %43
%74 = OpCompositeConstruct  %27  %62 %62 %62 %62
%75 = OpIAdd  %27  %74 %73
%76 = OpConvertSToF  %26  %75
%77 = OpFAdd  %26  %76 %63
%78 = OpFAdd  %26  %77 %67
%79 = OpFAdd  %26  %78 %68
%80 = OpCompositeConstruct  %26  %71 %71 %71 %71
%81 = OpFAdd  %26  %79 %80
%82 = OpFAdd  %26  %81 %72
OpReturnValue %82
OpFunctionEnd
%84 = OpFunction  %26  None %60
%83 = OpLabel
OpBranch %85
%85 = OpLabel
%86 = OpCompositeConstruct  %29  %14 %14
%87 = OpCompositeConstruct  %29  %3 %3
%88 = OpFAdd  %29  %87 %86
%89 = OpCompositeConstruct  %29  %15 %15
%90 = OpFSub  %29  %88 %89
%91 = OpCompositeConstruct  %29  %16 %16
%92 = OpFDiv  %29  %90 %91
%93 = OpCompositeConstruct  %27  %17 %17 %17 %17
%94 = OpCompositeConstruct  %27  %18 %18 %18 %18
%95 = OpSRem  %27  %93 %94
%96 = OpVectorShuffle  %26  %92 %92 0 1 0 1
%97 = OpConvertSToF  %26  %95
%98 = OpFAdd  %26  %96 %97
OpReturnValue %98
OpFunctionEnd
%103 = OpFunction  %29  None %104
%102 = OpLabel
%99 = OpVariable  %100  Function %101
OpBranch %105
%105 = OpLabel
%106 = OpCompositeConstruct  %29  %14 %14
OpStore %99 %106
%107 = OpLoad  %29  %99
%108 = OpCompositeConstruct  %29  %3 %3
%109 = OpFAdd  %29  %107 %108
OpStore %99 %109
%110 = OpLoad  %29  %99
%111 = OpCompositeConstruct  %29  %15 %15
%112 = OpFSub  %29  %110 %111
OpStore %99 %112
%113 = OpLoad  %29  %99
%114 = OpCompositeConstruct  %29  %16 %16
%115 = OpFDiv  %29  %113 %114
OpStore %99 %115
%116 = OpLoad  %29  %99
OpReturnValue %116
OpFunctionEnd
%119 = OpFunction  %30  None %120
%118 = OpFunctionParameter  %30
%117 = OpLabel
OpBranch %121
%121 = OpLabel
%123 = OpCompositeConstruct  %30  %5 %5 %5
%124 = OpFUnordNotEqual  %122  %118 %123
%125 = OpCompositeConstruct  %30  %5 %5 %5
%126 = OpCompositeConstruct  %30  %3 %3 %3
%127 = OpSelect  %30  %124 %126 %125
OpReturnValue %127
OpFunctionEnd
%132 = OpFunction  %4  None %133
%131 = OpLabel
%128 = OpVariable  %129  Function %130
OpBranch %134
%134 = OpLabel
%135 = OpCompositeConstruct  %26  %3 %3 %3 %3
%136 = OpCompositeConstruct  %31  %135 %7
OpStore %128 %136
%137 = OpCompositeConstruct  %29  %3 %5
%138 = OpCompositeConstruct  %29  %5 %3
%139 = OpCompositeConstruct  %32  %137 %138
%140 = OpCompositeConstruct  %26  %3 %5 %5 %5
%141 = OpCompositeConstruct  %26  %5 %3 %5 %5
%142 = OpCompositeConstruct  %26  %5 %5 %3 %5
%143 = OpCompositeConstruct  %26  %5 %5 %5 %3
%144 = OpCompositeConstruct  %33  %140 %141 %142 %143
%145 = OpCompositeConstruct  %34  %19 %19
%146 = OpCompositeConstruct  %29  %5 %5
%147 = OpCompositeConstruct  %29  %5 %5
%148 = OpCompositeConstruct  %32  %146 %147
%149 = OpCompositeConstruct  %36  %11 %7 %18 %21
%155 = OpCopyObject  %37  %53
%157 = OpCopyObject  %37  %53
%160 = OpAccessChain  %159  %128 %19 %19
%161 = OpLoad  %4  %160
OpReturnValue %161
OpFunctionEnd
%163 = OpFunction  %2  None %164
%162 = OpLabel
OpBranch %165
%165 = OpLabel
%166 = OpLogicalNot  %10  %9
%168 = OpCompositeConstruct  %167  %9 %9
%169 = OpLogicalNot  %167  %168
%170 = OpLogicalOr  %10  %9 %12
%171 = OpLogicalAnd  %10  %9 %12
%172 = OpLogicalOr  %10  %9 %12
%173 = OpCompositeConstruct  %122  %9 %9 %9
%174 = OpCompositeConstruct  %122  %12 %12 %12
%175 = OpLogicalOr  %122  %173 %174
%176 = OpLogicalAnd  %10  %9 %12
%177 = OpCompositeConstruct  %28  %9 %9 %9 %9
%178 = OpCompositeConstruct  %28  %12 %12 %12 %12
%179 = OpLogicalAnd  %28  %177 %178
OpReturn
OpFunctionEnd
%181 = OpFunction  %2  None %164
%180 = OpLabel
OpBranch %182
%182 = OpLabel
%184 = OpCompositeConstruct  %183  %7 %7
%185 = OpSNegate  %183  %184
%186 = OpCompositeConstruct  %29  %3 %3
%187 = OpFNegate  %29  %186
%188 = OpIAdd  %8  %18 %7
%189 = OpIAdd  %20  %24 %25
%190 = OpFAdd  %4  %14 %3
%191 = OpCompositeConstruct  %183  %18 %18
%192 = OpCompositeConstruct  %183  %7 %7
%193 = OpIAdd  %183  %191 %192
%195 = OpCompositeConstruct  %194  %24 %24 %24
%196 = OpCompositeConstruct  %194  %25 %25 %25
%197 = OpIAdd  %194  %195 %196
%198 = OpCompositeConstruct  %26  %14 %14 %14 %14
%199 = OpCompositeConstruct  %26  %3 %3 %3 %3
%200 = OpFAdd  %26  %198 %199
%201 = OpISub  %8  %18 %7
%202 = OpISub  %20  %24 %25
%203 = OpFSub  %4  %14 %3
%204 = OpCompositeConstruct  %183  %18 %18
%205 = OpCompositeConstruct  %183  %7 %7
%206 = OpISub  %183  %204 %205
%207 = OpCompositeConstruct  %194  %24 %24 %24
%208 = OpCompositeConstruct  %194  %25 %25 %25
%209 = OpISub  %194  %207 %208
%210 = OpCompositeConstruct  %26  %14 %14 %14 %14
%211 = OpCompositeConstruct  %26  %3 %3 %3 %3
%212 = OpFSub  %26  %210 %211
%213 = OpIMul  %8  %18 %7
%214 = OpIMul  %20  %24 %25
%215 = OpFMul  %4  %14 %3
%216 = OpCompositeConstruct  %183  %18 %18
%217 = OpCompositeConstruct  %183  %7 %7
%218 = OpIMul  %183  %216 %217
%219 = OpCompositeConstruct  %194  %24 %24 %24
%220 = OpCompositeConstruct  %194  %25 %25 %25
%221 = OpIMul  %194  %219 %220
%222 = OpCompositeConstruct  %26  %14 %14 %14 %14
%223 = OpCompositeConstruct  %26  %3 %3 %3 %3
%224 = OpFMul  %26  %222 %223
%225 = OpSDiv  %8  %18 %7
%226 = OpUDiv  %20  %24 %25
%227 = OpFDiv  %4  %14 %3
%228 = OpCompositeConstruct  %183  %18 %18
%229 = OpCompositeConstruct  %183  %7 %7
%230 = OpSDiv  %183  %228 %229
%231 = OpCompositeConstruct  %194  %24 %24 %24
%232 = OpCompositeConstruct  %194  %25 %25 %25
%233 = OpUDiv  %194  %231 %232
%234 = OpCompositeConstruct  %26  %14 %14 %14 %14
%235 = OpCompositeConstruct  %26  %3 %3 %3 %3
%236 = OpFDiv  %26  %234 %235
%237 = OpSRem  %8  %18 %7
%238 = OpUMod  %20  %24 %25
%239 = OpFRem  %4  %14 %3
%240 = OpCompositeConstruct  %183  %18 %18
%241 = OpCompositeConstruct  %183  %7 %7
%242 = OpSRem  %183  %240 %241
%243 = OpCompositeConstruct  %194  %24 %24 %24
%244 = OpCompositeConstruct  %194  %25 %25 %25
%245 = OpUMod  %194  %243 %244
%246 = OpCompositeConstruct  %26  %14 %14 %14 %14
%247 = OpCompositeConstruct  %26  %3 %3 %3 %3
%248 = OpFRem  %26  %246 %247
%249 = OpCompositeConstruct  %183  %18 %18
%250 = OpCompositeConstruct  %183  %7 %7
%251 = OpIAdd  %183  %249 %250
%252 = OpCompositeConstruct  %183  %7 %7
%253 = OpCompositeConstruct  %183  %18 %18
%254 = OpIAdd  %183  %253 %252
%255 = OpCompositeConstruct  %34  %24 %24
%256 = OpCompositeConstruct  %34  %25 %25
%257 = OpIAdd  %34  %255 %256
%258 = OpCompositeConstruct  %34  %25 %25
%259 = OpCompositeConstruct  %34  %24 %24
%260 = OpIAdd  %34  %259 %258
%261 = OpCompositeConstruct  %29  %14 %14
%262 = OpCompositeConstruct  %29  %3 %3
%263 = OpFAdd  %29  %261 %262
%264 = OpCompositeConstruct  %29  %3 %3
%265 = OpCompositeConstruct  %29  %14 %14
%266 = OpFAdd  %29  %265 %264
%267 = OpCompositeConstruct  %183  %18 %18
%268 = OpCompositeConstruct  %183  %7 %7
%269 = OpISub  %183  %267 %268
%270 = OpCompositeConstruct  %183  %7 %7
%271 = OpCompositeConstruct  %183  %18 %18
%272 = OpISub  %183  %271 %270
%273 = OpCompositeConstruct  %34  %24 %24
%274 = OpCompositeConstruct  %34  %25 %25
%275 = OpISub  %34  %273 %274
%276 = OpCompositeConstruct  %34  %25 %25
%277 = OpCompositeConstruct  %34  %24 %24
%278 = OpISub  %34  %277 %276
%279 = OpCompositeConstruct  %29  %14 %14
%280 = OpCompositeConstruct  %29  %3 %3
%281 = OpFSub  %29  %279 %280
%282 = OpCompositeConstruct  %29  %3 %3
%283 = OpCompositeConstruct  %29  %14 %14
%284 = OpFSub  %29  %283 %282
%285 = OpCompositeConstruct  %183  %18 %18
%287 = OpCompositeConstruct  %183  %7 %7
%286 = OpIMul  %183  %285 %287
%288 = OpCompositeConstruct  %183  %7 %7
%290 = OpCompositeConstruct  %183  %18 %18
%289 = OpIMul  %183  %288 %290
%291 = OpCompositeConstruct  %34  %24 %24
%293 = OpCompositeConstruct  %34  %25 %25
%292 = OpIMul  %34  %291 %293
%294 = OpCompositeConstruct  %34  %25 %25
%296 = OpCompositeConstruct  %34  %24 %24
%295 = OpIMul  %34  %294 %296
%297 = OpCompositeConstruct  %29  %14 %14
%298 = OpVectorTimesScalar  %29  %297 %3
%299 = OpCompositeConstruct  %29  %3 %3
%300 = OpVectorTimesScalar  %29  %299 %14
%301 = OpCompositeConstruct  %183  %18 %18
%302 = OpCompositeConstruct  %183  %7 %7
%303 = OpSDiv  %183  %301 %302
%304 = OpCompositeConstruct  %183  %7 %7
%305 = OpCompositeConstruct  %183  %18 %18
%306 = OpSDiv  %183  %305 %304
%307 = OpCompositeConstruct  %34  %24 %24
%308 = OpCompositeConstruct  %34  %25 %25
%309 = OpUDiv  %34  %307 %308
%310 = OpCompositeConstruct  %34  %25 %25
%311 = OpCompositeConstruct  %34  %24 %24
%312 = OpUDiv  %34  %311 %310
%313 = OpCompositeConstruct  %29  %14 %14
%314 = OpCompositeConstruct  %29  %3 %3
%315 = OpFDiv  %29  %313 %314
%316 = OpCompositeConstruct  %29  %3 %3
%317 = OpCompositeConstruct  %29  %14 %14
%318 = OpFDiv  %29  %317 %316
%319 = OpCompositeConstruct  %183  %18 %18
%320 = OpCompositeConstruct  %183  %7 %7
%321 = OpSRem  %183  %319 %320
%322 = OpCompositeConstruct  %183  %7 %7
%323 = OpCompositeConstruct  %183  %18 %18
%324 = OpSRem  %183  %323 %322
%325 = OpCompositeConstruct  %34  %24 %24
%326 = OpCompositeConstruct  %34  %25 %25
%327 = OpUMod  %34  %325 %326
%328 = OpCompositeConstruct  %34  %25 %25
%329 = OpCompositeConstruct  %34  %24 %24
%330 = OpUMod  %34  %329 %328
%331 = OpCompositeConstruct  %29  %14 %14
%332 = OpCompositeConstruct  %29  %3 %3
%333 = OpFRem  %29  %331 %332
%334 = OpCompositeConstruct  %29  %3 %3
%335 = OpCompositeConstruct  %29  %14 %14
%336 = OpFRem  %29  %335 %334
%338 = OpCompositeExtract  %30  %54 0
%339 = OpCompositeExtract  %30  %54 0
%340 = OpFAdd  %30  %338 %339
%341 = OpCompositeExtract  %30  %54 1
%342 = OpCompositeExtract  %30  %54 1
%343 = OpFAdd  %30  %341 %342
%344 = OpCompositeExtract  %30  %54 2
%345 = OpCompositeExtract  %30  %54 2
%346 = OpFAdd  %30  %344 %345
%337 = OpCompositeConstruct  %38  %340 %343 %346
%348 = OpCompositeExtract  %30  %54 0
%349 = OpCompositeExtract  %30  %54 0
%350 = OpFSub  %30  %348 %349
%351 = OpCompositeExtract  %30  %54 1
%352 = OpCompositeExtract  %30  %54 1
%353 = OpFSub  %30  %351 %352
%354 = OpCompositeExtract  %30  %54 2
%355 = OpCompositeExtract  %30  %54 2
%356 = OpFSub  %30  %354 %355
%347 = OpCompositeConstruct  %38  %350 %353 %356
%357 = OpMatrixTimesScalar  %38  %54 %3
%358 = OpMatrixTimesScalar  %38  %54 %14
%359 = OpCompositeConstruct  %26  %3 %3 %3 %3
%360 = OpMatrixTimesVector  %30  %55 %359
%361 = OpCompositeConstruct  %30  %14 %14 %14
%362 = OpVectorTimesMatrix  %26  %361 %55
%363 = OpMatrixTimesMatrix  %38  %55 %56
OpReturn
OpFunctionEnd
%365 = OpFunction  %2  None %164
%364 = OpLabel
OpBranch %366
%366 = OpLabel
%367 = OpNot  %8  %7
%368 = OpNot  %20  %25
%369 = OpCompositeConstruct  %183  %7 %7
%370 = OpNot  %183  %369
%371 = OpCompositeConstruct  %194  %25 %25 %25
%372 = OpNot  %194  %371
%373 = OpBitwiseOr  %8  %18 %7
%374 = OpBitwiseOr  %20  %24 %25
%375 = OpCompositeConstruct  %183  %18 %18
%376 = OpCompositeConstruct  %183  %7 %7
%377 = OpBitwiseOr  %183  %375 %376
%378 = OpCompositeConstruct  %194  %24 %24 %24
%379 = OpCompositeConstruct  %194  %25 %25 %25
%380 = OpBitwiseOr  %194  %378 %379
%381 = OpBitwiseAnd  %8  %18 %7
%382 = OpBitwiseAnd  %20  %24 %25
%383 = OpCompositeConstruct  %183  %18 %18
%384 = OpCompositeConstruct  %183  %7 %7
%385 = OpBitwiseAnd  %183  %383 %384
%386 = OpCompositeConstruct  %194  %24 %24 %24
%387 = OpCompositeConstruct  %194  %25 %25 %25
%388 = OpBitwiseAnd  %194  %386 %387
%389 = OpBitwiseXor  %8  %18 %7
%390 = OpBitwiseXor  %20  %24 %25
%391 = OpCompositeConstruct  %183  %18 %18
%392 = OpCompositeConstruct  %183  %7 %7
%393 = OpBitwiseXor  %183  %391 %392
%394 = OpCompositeConstruct  %194  %24 %24 %24
%395 = OpCompositeConstruct  %194  %25 %25 %25
%396 = OpBitwiseXor  %194  %394 %395
%397 = OpShiftLeftLogical  %8  %18 %25
%398 = OpShiftLeftLogical  %20  %24 %25
%399 = OpCompositeConstruct  %183  %18 %18
%400 = OpCompositeConstruct  %34  %25 %25
%401 = OpShiftLeftLogical  %183  %399 %400
%402 = OpCompositeConstruct  %194  %24 %24 %24
%403 = OpCompositeConstruct  %194  %25 %25 %25
%404 = OpShiftLeftLogical  %194  %402 %403
%405 = OpShiftRightArithmetic  %8  %18 %25
%406 = OpShiftRightLogical  %20  %24 %25
%407 = OpCompositeConstruct  %183  %18 %18
%408 = OpCompositeConstruct  %34  %25 %25
%409 = OpShiftRightArithmetic  %183  %407 %408
%410 = OpCompositeConstruct  %194  %24 %24 %24
%411 = OpCompositeConstruct  %194  %25 %25 %25
%412 = OpShiftRightLogical  %194  %410 %411
OpReturn
OpFunctionEnd
%414 = OpFunction  %2  None %164
%413 = OpLabel
OpBranch %415
%415 = OpLabel
%416 = OpIEqual  %10  %18 %7
%417 = OpIEqual  %10  %24 %25
%418 = OpFOrdEqual  %10  %14 %3
%419 = OpCompositeConstruct  %183  %18 %18
%420 = OpCompositeConstruct  %183  %7 %7
%421 = OpIEqual  %167  %419 %420
%422 = OpCompositeConstruct  %194  %24 %24 %24
%423 = OpCompositeConstruct  %194  %25 %25 %25
%424 = OpIEqual  %122  %422 %423
%425 = OpCompositeConstruct  %26  %14 %14 %14 %14
%426 = OpCompositeConstruct  %26  %3 %3 %3 %3
%427 = OpFOrdEqual  %28  %425 %426
%428 = OpINotEqual  %10  %18 %7
%429 = OpINotEqual  %10  %24 %25
%430 = OpFOrdNotEqual  %10  %14 %3
%431 = OpCompositeConstruct  %183  %18 %18
%432 = OpCompositeConstruct  %183  %7 %7
%433 = OpINotEqual  %167  %431 %432
%434 = OpCompositeConstruct  %194  %24 %24 %24
%435 = OpCompositeConstruct  %194  %25 %25 %25
%436 = OpINotEqual  %122  %434 %435
%437 = OpCompositeConstruct  %26  %14 %14 %14 %14
%438 = OpCompositeConstruct  %26  %3 %3 %3 %3
%439 = OpFOrdNotEqual  %28  %437 %438
%440 = OpSLessThan  %10  %18 %7
%441 = OpULessThan  %10  %24 %25
%442 = OpFOrdLessThan  %10  %14 %3
%443 = OpCompositeConstruct  %183  %18 %18
%444 = OpCompositeConstruct  %183  %7 %7
%445 = OpSLessThan  %167  %443 %444
%446 = OpCompositeConstruct  %194  %24 %24 %24
%447 = OpCompositeConstruct  %194  %25 %25 %25
%448 = OpULessThan  %122  %446 %447
%449 = OpCompositeConstruct  %26  %14 %14 %14 %14
%450 = OpCompositeConstruct  %26  %3 %3 %3 %3
%451 = OpFOrdLessThan  %28  %449 %450
%452 = OpSLessThanEqual  %10  %18 %7
%453 = OpULessThanEqual  %10  %24 %25
%454 = OpFOrdLessThanEqual  %10  %14 %3
%455 = OpCompositeConstruct  %183  %18 %18
%456 = OpCompositeConstruct  %183  %7 %7
%457 = OpSLessThanEqual  %167  %455 %456
%458 = OpCompositeConstruct  %194  %24 %24 %24
%459 = OpCompositeConstruct  %194  %25 %25 %25
%460 = OpULessThanEqual  %122  %458 %459
%461 = OpCompositeConstruct  %26  %14 %14 %14 %14
%462 = OpCompositeConstruct  %26  %3 %3 %3 %3
%463 = OpFOrdLessThanEqual  %28  %461 %462
%464 = OpSGreaterThan  %10  %18 %7
%465 = OpUGreaterThan  %10  %24 %25
%466 = OpFOrdGreaterThan  %10  %14 %3
%467 = OpCompositeConstruct  %183  %18 %18
%468 = OpCompositeConstruct  %183  %7 %7
%469 = OpSGreaterThan  %167  %467 %468
%470 = OpCompositeConstruct  %194  %24 %24 %24
%471 = OpCompositeConstruct  %194  %25 %25 %25
%472 = OpUGreaterThan  %122  %470 %471
%473 = OpCompositeConstruct  %26  %14 %14 %14 %14
%474 = OpCompositeConstruct  %26  %3 %3 %3 %3
%475 = OpFOrdGreaterThan  %28  %473 %474
%476 = OpSGreaterThanEqual  %10  %18 %7
%477 = OpUGreaterThanEqual  %10  %24 %25
%478 = OpFOrdGreaterThanEqual  %10  %14 %3
%479 = OpCompositeConstruct  %183  %18 %18
%480 = OpCompositeConstruct  %183  %7 %7
%481 = OpSGreaterThanEqual  %167  %479 %480
%482 = OpCompositeConstruct  %194  %24 %24 %24
%483 = OpCompositeConstruct  %194  %25 %25 %25
%484 = OpUGreaterThanEqual  %122  %482 %483
%485 = OpCompositeConstruct  %26  %14 %14 %14 %14
%486 = OpCompositeConstruct  %26  %3 %3 %3 %3
%487 = OpFOrdGreaterThanEqual  %28  %485 %486
OpReturn
OpFunctionEnd
%493 = OpFunction  %2  None %164
%492 = OpLabel
%488 = OpVariable  %489  Function %7
%490 = OpVariable  %491  Function %57
OpBranch %494
%494 = OpLabel
%495 = OpLoad  %8  %488
%496 = OpIAdd  %8  %495 %7
OpStore %488 %496
%497 = OpLoad  %8  %488
%498 = OpISub  %8  %497 %7
OpStore %488 %498
%499 = OpLoad  %8  %488
%500 = OpLoad  %8  %488
%501 = OpIMul  %8  %499 %500
OpStore %488 %501
%502 = OpLoad  %8  %488
%503 = OpLoad  %8  %488
%504 = OpSDiv  %8  %502 %503
OpStore %488 %504
%505 = OpLoad  %8  %488
%506 = OpSRem  %8  %505 %7
OpStore %488 %506
%507 = OpLoad  %8  %488
%508 = OpBitwiseAnd  %8  %507 %11
OpStore %488 %508
%509 = OpLoad  %8  %488
%510 = OpBitwiseOr  %8  %509 %11
OpStore %488 %510
%511 = OpLoad  %8  %488
%512 = OpBitwiseXor  %8  %511 %11
OpStore %488 %512
%513 = OpLoad  %8  %488
%514 = OpShiftLeftLogical  %8  %513 %24
OpStore %488 %514
%515 = OpLoad  %8  %488
%516 = OpShiftRightArithmetic  %8  %515 %25
OpStore %488 %516
%517 = OpLoad  %8  %488
%518 = OpIAdd  %8  %517 %7
OpStore %488 %518
%519 = OpLoad  %8  %488
%520 = OpISub  %8  %519 %7
OpStore %488 %520
%522 = OpAccessChain  %521  %490 %25
%523 = OpLoad  %8  %522
%524 = OpIAdd  %8  %523 %7
%525 = OpAccessChain  %521  %490 %25
OpStore %525 %524
%526 = OpAccessChain  %521  %490 %25
%527 = OpLoad  %8  %526
%528 = OpISub  %8  %527 %7
%529 = OpAccessChain  %521  %490 %25
OpStore %529 %528
OpReturn
OpFunctionEnd
%531 = OpFunction  %2  None %164
%530 = OpLabel
OpBranch %532
%532 = OpLabel
%533 = OpFunctionCall  %26  %59
%534 = OpFunctionCall  %26  %84
%535 = OpVectorShuffle  %30  %42 %42 0 1 2
%536 = OpFunctionCall  %30  %119 %535
%537 = OpFunctionCall  %4  %132
%538 = OpFunctionCall  %2  %163
%539 = OpFunctionCall  %2  %181
%540 = OpFunctionCall  %2  %365
%541 = OpFunctionCall  %2  %414
%542 = OpFunctionCall  %2  %493
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/padding.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 50
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %27 "vertex" %25
OpSource GLSL 450
OpMemberName %8 0 "a"
OpName %8 "S"
OpMemberName %9 0 "a"
OpMemberName %9 1 "b"
OpName %9 "Test"
OpMemberName %11 0 "a"
OpMemberName %11 1 "b"
OpName %11 "Test2"
OpMemberName %13 0 "a"
OpMemberName %13 1 "b"
OpName %13 "Test3"
OpName %15 "input1"
OpName %18 "input2"
OpName %21 "input3"
OpName %27 "vertex"
OpMemberDecorate %8 0 Offset 0
OpMemberDecorate %9 0 Offset 0
OpMemberDecorate %9 1 Offset 16
OpDecorate %10 ArrayStride 16
OpMemberDecorate %11 0 Offset 0
OpMemberDecorate %11 1 Offset 32
OpMemberDecorate %13 0 Offset 0
OpMemberDecorate %13 0 ColMajor
OpMemberDecorate %13 0 MatrixStride 16
OpMemberDecorate %13 1 Offset 64
OpDecorate %15 DescriptorSet 0
OpDecorate %15 Binding 0
OpDecorate %16 Block
OpMemberDecorate %16 0 Offset 0
OpDecorate %18 DescriptorSet 0
OpDecorate %18 Binding 1
OpDecorate %19 Block
OpMemberDecorate %19 0 Offset 0
OpDecorate %21 DescriptorSet 0
OpDecorate %21 Binding 2
OpDecorate %22 Block
OpMemberDecorate %22 0 Offset 0
OpDecorate %25 BuiltIn Position
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  2
%6 = OpTypeFloat 32
%5 = OpConstant  %6  1.0
%7 = OpTypeVector %6 3
%8 = OpTypeStruct %7
%9 = OpTypeStruct %8 %6
%10 = OpTypeArray %7 %3
%11 = OpTypeStruct %10 %6
%12 = OpTypeMatrix %7 4
%13 = OpTypeStruct %12 %6
%14 = OpTypeVector %6 4
%16 = OpTypeStruct %9
%17 = OpTypePointer Uniform %16
%15 = OpVariable  %17  Uniform
%19 = OpTypeStruct %11
%20 = OpTypePointer Uniform %19
%18 = OpVariable  %20  Uniform
%22 = OpTypeStruct %13
%23 = OpTypePointer Uniform %22
%21 = OpVariable  %23  Uniform
%26 = OpTypePointer Output %14
%25 = OpVariable  %26  Output
%28 = OpTypeFunction %2
%29 = OpTypePointer Uniform %9
%31 = OpTypeInt 32 0
%30 = OpConstant  %31  0
%33 = OpTypePointer Uniform %11
%35 = OpTypePointer Uniform %13
%39 = OpTypePointer Uniform %6
%40 = OpConstant  %31  1
%27 = OpFunction  %2  None %28
%24 = OpLabel
%32 = OpAccessChain  %29  %15 %30
%34 = OpAccessChain  %33  %18 %30
%36 = OpAccessChain  %35  %21 %30
OpBranch %37
%37 = OpLabel
%38 = OpCompositeConstruct  %14  %5 %5 %5 %5
%41 = OpAccessChain  %39  %32 %40
%42 = OpLoad  %6  %41
%43 = OpVectorTimesScalar  %14  %38 %42
%44 = OpAccessChain  %39  %34 %40
%45 = OpLoad  %6  %44
%46 = OpVectorTimesScalar  %14  %43 %45
%47 = OpAccessChain  %39  %36 %40
%48 = OpLoad  %6  %47
%49 = OpVectorTimesScalar  %14  %46 %48
OpStore %25 %49
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/pointer-access.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 35
OpCapability Shader
OpCapability Linkage
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpSource GLSL 450
OpDecorate %12 ArrayStride 4
OpDecorate %14 ArrayStride 4
OpDecorate %15 Block
OpMemberDecorate %15 0 Offset 0
OpDecorate %17 DescriptorSet 0
OpDecorate %17 Binding 0
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  0
%5 = OpConstant  %4  1
%6 = OpConstant  %4  2
%7 = OpConstant  %4  3
%9 = OpTypeInt 32 0
%8 = OpConstant  %9  0
%10 = OpConstant  %9  7
%11 = OpTypePointer StorageBuffer %9
%12 = OpTypeArray %9 %10
%13 = OpTypePointer StorageBuffer %12
%14 = OpTypeRuntimeArray %9
%15 = OpTypeStruct %14
%16 = OpTypePointer StorageBuffer %15
%17 = OpVariable  %16  StorageBuffer
%22 = OpTypeFunction %9 %13 %9
%30 = OpTypeFunction %9 %16 %9
%32 = OpTypePointer StorageBuffer %14
%21 = OpFunction  %9  None %22
%19 = OpFunctionParameter  %13
%20 = OpFunctionParameter  %9
%18 = OpLabel
OpBranch %23
%23 = OpLabel
%24 = OpAccessChain  %11  %19 %20
%25 = OpLoad  %9  %24
OpReturnValue %25
OpFunctionEnd
%29 = OpFunction  %9  None %30
%27 = OpFunctionParameter  %16
%28 = OpFunctionParameter  %9
%26 = OpLabel
OpBranch %31
%31 = OpLabel
%33 = OpAccessChain  %11  %27 %8 %28
%34 = OpLoad  %9  %33
OpReturnValue %34
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/pointers.spvasm
================================================
; SPIR-V
; Version: 1.2
; Generator: rspirv
; Bound: 42
OpCapability Shader
OpCapability Linkage
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpSource GLSL 450
OpMemberName %8 0 "arr"
OpName %8 "DynamicArray"
OpName %11 "dynamic_array"
OpName %12 "v"
OpName %16 "f"
OpName %23 "i"
OpName %24 "v"
OpName %25 "index_unsized"
OpName %34 "i"
OpName %35 "v"
OpName %36 "index_dynamic_array"
OpDecorate %7 ArrayStride 4
OpMemberDecorate %8 0 Offset 0
OpDecorate %11 DescriptorSet 0
OpDecorate %11 Binding 0
OpDecorate %8 Block
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  10
%5 = OpTypeVector %4 2
%6 = OpTypeInt 32 0
%7 = OpTypeRuntimeArray %6
%8 = OpTypeStruct %7
%9 = OpTypePointer StorageBuffer %8
%10 = OpTypePointer StorageBuffer %7
%11 = OpVariable  %9  StorageBuffer
%13 = OpTypePointer Function %5
%14 = OpConstantNull  %5
%17 = OpTypeFunction %2
%19 = OpTypePointer Function %4
%20 = OpConstant  %6  0
%26 = OpTypeFunction %2 %4 %6
%28 = OpTypePointer StorageBuffer %6
%16 = OpFunction  %2  None %17
%15 = OpLabel
%12 = OpVariable  %13  Function %14
OpBranch %18
%18 = OpLabel
%21 = OpAccessChain  %19  %12 %20
OpStore %21 %3
OpReturn
OpFunctionEnd
%25 = OpFunction  %2  None %26
%23 = OpFunctionParameter  %4
%24 = OpFunctionParameter  %6
%22 = OpLabel
OpBranch %27
%27 = OpLabel
%29 = OpAccessChain  %28  %11 %20 %23
%30 = OpLoad  %6  %29
%31 = OpIAdd  %6  %30 %24
%32 = OpAccessChain  %28  %11 %20 %23
OpStore %32 %31
OpReturn
OpFunctionEnd
%36 = OpFunction  %2  None %26
%34 = OpFunctionParameter  %4
%35 = OpFunctionParameter  %6
%33 = OpLabel
OpBranch %37
%37 = OpLabel
%38 = OpAccessChain  %28  %11 %20 %34
%39 = OpLoad  %6  %38
%40 = OpIAdd  %6  %39 %35
%41 = OpAccessChain  %28  %11 %20 %34
OpStore %41 %40
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/policy-mix.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 101
OpCapability Shader
OpCapability ImageQuery
OpCapability Linkage
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpSource GLSL 450
OpMemberName %15 0 "a"
OpName %15 "InStorage"
OpMemberName %17 0 "a"
OpName %17 "InUniform"
OpName %23 "in_storage"
OpName %26 "in_uniform"
OpName %29 "image_2d_array"
OpName %31 "in_workgroup"
OpName %33 "in_private"
OpName %36 "in_function"
OpName %40 "c"
OpName %41 "i"
OpName %42 "l"
OpName %43 "mock_function"
OpDecorate %14 ArrayStride 16
OpMemberDecorate %15 0 Offset 0
OpDecorate %16 ArrayStride 16
OpMemberDecorate %17 0 Offset 0
OpDecorate %19 ArrayStride 4
OpDecorate %20 ArrayStride 4
OpDecorate %22 ArrayStride 16
OpDecorate %23 NonWritable
OpDecorate %23 DescriptorSet 0
OpDecorate %23 Binding 0
OpDecorate %24 Block
OpMemberDecorate %24 0 Offset 0
OpDecorate %26 DescriptorSet 0
OpDecorate %26 Binding 1
OpDecorate %27 Block
OpMemberDecorate %27 0 Offset 0
OpDecorate %29 DescriptorSet 0
OpDecorate %29 Binding 2
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  10
%5 = OpConstant  %4  20
%6 = OpConstant  %4  30
%7 = OpConstant  %4  40
%8 = OpConstant  %4  2
%10 = OpTypeFloat 32
%9 = OpConstant  %10  0.707
%11 = OpConstant  %10  0.0
%12 = OpConstant  %10  1.0
%13 = OpTypeVector %10 4
%14 = OpTypeArray %13 %3
%15 = OpTypeStruct %14
%16 = OpTypeArray %13 %5
%17 = OpTypeStruct %16
%18 = OpTypeImage %10 2D 0 1 0 1 Unknown
%19 = OpTypeArray %10 %6
%20 = OpTypeArray %10 %7
%21 = OpTypeVector %4 2
%22 = OpTypeArray %13 %8
%24 = OpTypeStruct %15
%25 = OpTypePointer StorageBuffer %24
%23 = OpVariable  %25  StorageBuffer
%27 = OpTypeStruct %17
%28 = OpTypePointer Uniform %27
%26 = OpVariable  %28  Uniform
%30 = OpTypePointer UniformConstant %18
%29 = OpVariable  %30  UniformConstant
%32 = OpTypePointer Workgroup %19
%31 = OpVariable  %32  Workgroup
%34 = OpTypePointer Private %20
%35 = OpConstantNull  %20
%33 = OpVariable  %34  Private %35
%37 = OpTypePointer Function %22
%38 = OpConstantNull  %22
%44 = OpTypeFunction %13 %21 %4 %4
%45 = OpTypePointer StorageBuffer %15
%47 = OpTypeInt 32 0
%46 = OpConstant  %47  0
%49 = OpTypePointer Uniform %17
%56 = OpTypePointer StorageBuffer %14
%57 = OpTypePointer StorageBuffer %13
%60 = OpTypePointer Uniform %16
%61 = OpTypePointer Uniform %13
%65 = OpTypeVector %4 3
%67 = OpTypeBool
%68 = OpConstantNull  %13
%74 = OpTypeVector %67 3
%81 = OpTypePointer Workgroup %10
%82 = OpConstant  %47  29
%88 = OpTypePointer Private %10
%89 = OpConstant  %47  39
%95 = OpTypePointer Function %13
%96 = OpConstant  %47  1
%43 = OpFunction  %13  None %44
%40 = OpFunctionParameter  %21
%41 = OpFunctionParameter  %4
%42 = OpFunctionParameter  %4
%39 = OpLabel
%36 = OpVariable  %37  Function %38
%48 = OpAccessChain  %45  %23 %46
%50 = OpAccessChain  %49  %26 %46
%51 = OpLoad  %18  %29
OpBranch %52
%52 = OpLabel
%53 = OpCompositeConstruct  %13  %9 %11 %11 %12
%54 = OpCompositeConstruct  %13  %11 %9 %11 %12
%55 = OpCompositeConstruct  %22  %53 %54
OpStore %36 %55
%58 = OpAccessChain  %57  %48 %46 %41
%59 = OpLoad  %13  %58
%62 = OpAccessChain  %61  %50 %46 %41
%63 = OpLoad  %13  %62
%64 = OpFAdd  %13  %59 %63
%66 = OpCompositeConstruct  %65  %40 %41
%69 = OpImageQueryLevels  %4  %51
%70 = OpULessThan  %67  %42 %69
OpSelectionMerge %71 None
OpBranchConditional %70 %72 %71
%72 = OpLabel
%73 = OpImageQuerySizeLod  %65  %51 %42
%75 = OpULessThan  %74  %66 %73
%76 = OpAll  %67  %75
OpBranchConditional %76 %77 %71
%77 = OpLabel
%78 = OpImageFetch  %13  %51 %66 Lod %42
OpBranch %71
%71 = OpLabel
%79 = OpPhi  %13  %68 %52 %68 %72 %78 %77
%80 = OpFAdd  %13  %64 %79
%83 = OpExtInst  %47  %1 UMin %41 %82
%84 = OpAccessChain  %81  %31 %83
%85 = OpLoad  %10  %84
%86 = OpCompositeConstruct  %13  %85 %85 %85 %85
%87 = OpFAdd  %13  %80 %86
%90 = OpExtInst  %47  %1 UMin %41 %89
%91 = OpAccessChain  %88  %33 %90
%92 = OpLoad  %10  %91
%93 = OpCompositeConstruct  %13  %92 %92 %92 %92
%94 = OpFAdd  %13  %87 %93
%97 = OpExtInst  %47  %1 UMin %41 %96
%98 = OpAccessChain  %95  %36 %97
%99 = OpLoad  %13  %98
%100 = OpFAdd  %13  %94 %99
OpReturnValue %100
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/quad.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 64
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %27 "vert_main" %18 %21 %23 %25
OpEntryPoint Fragment %45 "frag_main" %42 %44
OpEntryPoint Fragment %61 "fs_extra" %60
OpExecutionMode %45 OriginUpperLeft
OpExecutionMode %61 OriginUpperLeft
OpSource GLSL 450
OpName %3 "c_scale"
OpMemberName %10 0 "uv"
OpMemberName %10 1 "position"
OpName %10 "VertexOutput"
OpName %13 "u_texture"
OpName %15 "u_sampler"
OpName %18 "pos"
OpName %21 "uv"
OpName %23 "uv"
OpName %25 "position"
OpName %27 "vert_main"
OpName %42 "uv"
OpName %45 "frag_main"
OpName %61 "fs_extra"
OpMemberDecorate %10 0 Offset 0
OpMemberDecorate %10 1 Offset 16
OpDecorate %13 DescriptorSet 0
OpDecorate %13 Binding 0
OpDecorate %15 DescriptorSet 0
OpDecorate %15 Binding 1
OpDecorate %18 Location 0
OpDecorate %21 Location 1
OpDecorate %23 Location 0
OpDecorate %25 BuiltIn Position
OpDecorate %42 Location 0
OpDecorate %44 Location 0
OpDecorate %60 Location 0
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  1.2
%5 = OpConstant  %4  0.0
%6 = OpConstant  %4  1.0
%7 = OpConstant  %4  0.5
%8 = OpTypeVector %4 2
%9 = OpTypeVector %4 4
%10 = OpTypeStruct %8 %9
%11 = OpTypeImage %4 2D 0 0 0 1 Unknown
%12 = OpTypeSampler
%14 = OpTypePointer UniformConstant %11
%13 = OpVariable  %14  UniformConstant
%16 = OpTypePointer UniformConstant %12
%15 = OpVariable  %16  UniformConstant
%19 = OpTypePointer Input %8
%18 = OpVariable  %19  Input
%21 = OpVariable  %19  Input
%24 = OpTypePointer Output %8
%23 = OpVariable  %24  Output
%26 = OpTypePointer Output %9
%25 = OpVariable  %26  Output
%28 = OpTypeFunction %2
%35 = OpTypePointer Output %4
%37 = OpTypeInt 32 0
%36 = OpConstant  %37  1
%42 = OpVariable  %19  Input
%44 = OpVariable  %26  Output
%49 = OpTypeSampledImage %11
%53 = OpTypeBool
%60 = OpVariable  %26  Output
%27 = OpFunction  %2  None %28
%17 = OpLabel
%20 = OpLoad  %8  %18
%22 = OpLoad  %8  %21
OpBranch %29
%29 = OpLabel
%30 = OpVectorTimesScalar  %8  %20 %3
%31 = OpCompositeConstruct  %9  %30 %5 %6
%32 = OpCompositeConstruct  %10  %22 %31
%33 = OpCompositeExtract  %8  %32 0
OpStore %23 %33
%34 = OpCompositeExtract  %9  %32 1
OpStore %25 %34
%38 = OpAccessChain  %35  %25 %36
%39 = OpLoad  %4  %38
%40 = OpFNegate  %4  %39
OpStore %38 %40
OpReturn
OpFunctionEnd
%45 = OpFunction  %2  None %28
%41 = OpLabel
%43 = OpLoad  %8  %42
%46 = OpLoad  %11  %13
%47 = OpLoad  %12  %15
OpBranch %48
%48 = OpLabel
%50 = OpSampledImage  %49  %46 %47
%51 = OpImageSampleImplicitLod  %9  %50 %43
%52 = OpCompositeExtract  %4  %51 3
%54 = OpFOrdEqual  %53  %52 %5
OpSelectionMerge %55 None
OpBranchConditional %54 %56 %55
%56 = OpLabel
OpKill
%55 = OpLabel
%57 = OpCompositeExtract  %4  %51 3
%58 = OpVectorTimesScalar  %9  %51 %57
OpStore %44 %58
OpReturn
OpFunctionEnd
%61 = OpFunction  %2  None %28
%59 = OpLabel
OpBranch %62
%62 = OpLabel
%63 = OpCompositeConstruct  %9  %5 %7 %5 %7
OpStore %60 %63
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/shadow.spvasm
================================================
; SPIR-V
; Version: 1.2
; Generator: rspirv
; Bound: 262
OpCapability Shader
OpExtension "SPV_KHR_storage_buffer_storage_class"
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %94 "vs_main" %84 %87 %89 %91 %93
OpEntryPoint Fragment %148 "fs_main" %139 %142 %145 %147
OpEntryPoint Fragment %212 "fs_main_without_storage" %205 %207 %209 %211
OpExecutionMode %148 OriginUpperLeft
OpExecutionMode %212 OriginUpperLeft
OpSource GLSL 450
OpName %11 "c_max_lights"
OpMemberName %18 0 "view_proj"
OpMemberName %18 1 "num_lights"
OpName %18 "Globals"
OpMemberName %19 0 "world"
OpMemberName %19 1 "color"
OpName %19 "Entity"
OpMemberName %21 0 "proj_position"
OpMemberName %21 1 "world_normal"
OpMemberName %21 2 "world_position"
OpName %21 "VertexOutput"
OpMemberName %24 0 "proj"
OpMemberName %24 1 "pos"
OpMemberName %24 2 "color"
OpName %24 "Light"
OpName %30 "c_ambient"
OpName %31 "u_globals"
OpName %34 "u_entity"
OpName %37 "s_lights"
OpName %40 "u_lights"
OpName %43 "t_shadow"
OpName %45 "sampler_shadow"
OpName %48 "light_id"
OpName %49 "homogeneous_coords"
OpName %50 "fetch_shadow"
OpName %80 "out"
OpName %84 "position"
OpName %87 "normal"
OpName %89 "proj_position"
OpName %91 "world_normal"
OpName %93 "world_position"
OpName %94 "vs_main"
OpName %134 "color"
OpName %135 "i"
OpName %139 "proj_position"
OpName %142 "world_normal"
OpName %145 "world_position"
OpName %148 "fs_main"
OpName %201 "color"
OpName %202 "i"
OpName %205 "proj_position"
OpName %207 "world_normal"
OpName %209 "world_position"
OpName %212 "fs_main_without_storage"
OpMemberDecorate %18 0 Offset 0
OpMemberDecorate %18 0 ColMajor
OpMemberDecorate %18 0 MatrixStride 16
OpMemberDecorate %18 1 Offset 64
OpMemberDecorate %19 0 Offset 0
OpMemberDecorate %19 0 ColMajor
OpMemberDecorate %19 0 MatrixStride 16
OpMemberDecorate %19 1 Offset 64
OpMemberDecorate %21 0 Offset 0
OpMemberDecorate %21 1 Offset 16
OpMemberDecorate %21 2 Offset 32
OpMemberDecorate %24 0 Offset 0
OpMemberDecorate %24 0 ColMajor
OpMemberDecorate %24 0 MatrixStride 16
OpMemberDecorate %24 1 Offset 64
OpMemberDecorate %24 2 Offset 80
OpDecorate %25 ArrayStride 96
OpDecorate %26 ArrayStride 96
OpDecorate %31 DescriptorSet 0
OpDecorate %31 Binding 0
OpDecorate %32 Block
OpMemberDecorate %32 0 Offset 0
OpDecorate %34 DescriptorSet 1
OpDecorate %34 Binding 0
OpDecorate %35 Block
OpMemberDecorate %35 0 Offset 0
OpDecorate %37 NonWritable
OpDecorate %37 DescriptorSet 0
OpDecorate %37 Binding 1
OpDecorate %38 Block
OpMemberDecorate %38 0 Offset 0
OpDecorate %40 DescriptorSet 0
OpDecorate %40 Binding 1
OpDecorate %41 Block
OpMemberDecorate %41 0 Offset 0
OpDecorate %43 DescriptorSet 0
OpDecorate %43 Binding 2
OpDecorate %45 DescriptorSet 0
OpDecorate %45 Binding 3
OpDecorate %84 Location 0
OpDecorate %87 Location 1
OpDecorate %89 BuiltIn Position
OpDecorate %91 Location 0
OpDecorate %93 Location 1
OpDecorate %139 BuiltIn FragCoord
OpDecorate %142 Location 0
OpDecorate %145 Location 1
OpDecorate %147 Location 0
OpDecorate %205 BuiltIn FragCoord
OpDecorate %207 Location 0
OpDecorate %209 Location 1
OpDecorate %211 Location 0
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  10
%6 = OpTypeFloat 32
%5 = OpConstant  %6  0.0
%7 = OpConstant  %6  1.0
%8 = OpConstant  %6  0.5
%9 = OpConstant  %6  -0.5
%10 = OpConstant  %6  0.05
%12 = OpTypeInt 32 0
%11 = OpConstant  %12  10
%13 = OpConstant  %12  0
%14 = OpConstant  %12  1
%16 = OpTypeVector %6 4
%15 = OpTypeMatrix %16 4
%17 = OpTypeVector %12 4
%18 = OpTypeStruct %15 %17
%19 = OpTypeStruct %15 %16
%20 = OpTypeVector %6 3
%21 = OpTypeStruct %16 %20 %16
%22 = OpTypeVector %4 4
%23 = OpTypeMatrix %20 3
%24 = OpTypeStruct %15 %16 %16
%25 = OpTypeRuntimeArray %24
%26 = OpTypeArray %24 %3
%27 = OpTypeImage %6 2D 1 1 0 1 Unknown
%28 = OpTypeSampler
%29 = OpTypeVector %6 2
%30 = OpConstantComposite  %20  %10 %10 %10
%32 = OpTypeStruct %18
%33 = OpTypePointer Uniform %32
%31 = OpVariable  %33  Uniform
%35 = OpTypeStruct %19
%36 = OpTypePointer Uniform %35
%34 = OpVariable  %36  Uniform
%38 = OpTypeStruct %25
%39 = OpTypePointer StorageBuffer %38
%37 = OpVariable  %39  StorageBuffer
%41 = OpTypeStruct %26
%42 = OpTypePointer Uniform %41
%40 = OpVariable  %42  Uniform
%44 = OpTypePointer UniformConstant %27
%43 = OpVariable  %44  UniformConstant
%46 = OpTypePointer UniformConstant %28
%45 = OpVariable  %46  UniformConstant
%51 = OpTypeFunction %6 %12 %16
%54 = OpTypePointer Uniform %19
%55 = OpTypePointer Uniform %18
%56 = OpTypePointer Uniform %26
%57 = OpTypePointer StorageBuffer %25
%60 = OpTypeBool
%75 = OpTypeSampledImage %27
%81 = OpTypePointer Function %21
%82 = OpConstantNull  %21
%85 = OpTypePointer Input %22
%84 = OpVariable  %85  Input
%87 = OpVariable  %85  Input
%90 = OpTypePointer Output %16
%89 = OpVariable  %90  Output
%92 = OpTypePointer Output %20
%91 = OpVariable  %92  Output
%93 = OpVariable  %90  Output
%95 = OpTypeFunction %2
%99 = OpTypePointer Uniform %15
%106 = OpTypePointer Function %20
%114 = OpTypeVector %4 3
%119 = OpTypePointer Function %16
%120 = OpConstant  %12  2
%128 = OpTypePointer Output %6
%136 = OpTypePointer Function %12
%140 = OpTypePointer Input %16
%139 = OpVariable  %140  Input
%143 = OpTypePointer Input %20
%142 = OpVariable  %143  Input
%145 = OpVariable  %140  Input
%147 = OpVariable  %90  Output
%162 = OpTypePointer Uniform %17
%163 = OpTypePointer Uniform %12
%171 = OpTypePointer StorageBuffer %24
%197 = OpTypePointer Uniform %16
%205 = OpVariable  %140  Input
%207 = OpVariable  %143  Input
%209 = OpVariable  %140  Input
%211 = OpVariable  %90  Output
%233 = OpTypePointer Uniform %24
%50 = OpFunction  %6  None %51
%48 = OpFunctionParameter  %12
%49 = OpFunctionParameter  %16
%47 = OpLabel
%52 = OpLoad  %27  %43
%53 = OpLoad  %28  %45
OpBranch %58
%58 = OpLabel
%59 = OpCompositeExtract  %6  %49 3
%61 = OpFOrdLessThanEqual  %60  %59 %5
OpSelectionMerge %62 None
OpBranchConditional %61 %63 %62
%63 = OpLabel
OpReturnValue %7
%62 = OpLabel
%64 = OpCompositeConstruct  %29  %8 %9
%65 = OpCompositeExtract  %6  %49 3
%66 = OpFDiv  %6  %7 %65
%67 = OpVectorShuffle  %29  %49 %49 0 1
%68 = OpFMul  %29  %67 %64
%69 = OpVectorTimesScalar  %29  %68 %66
%70 = OpCompositeConstruct  %29  %8 %8
%71 = OpFAdd  %29  %69 %70
%72 = OpBitcast  %4  %48
%73 = OpCompositeExtract  %6  %49 2
%74 = OpFMul  %6  %73 %66
%76 = OpConvertUToF  %6  %72
%77 = OpCompositeConstruct  %20  %71 %76
%78 = OpSampledImage  %75  %52 %53
%79 = OpImageSampleDrefExplicitLod  %6  %78 %77 %74 Lod %5
OpReturnValue %79
OpFunctionEnd
%94 = OpFunction  %2  None %95
%83 = OpLabel
%80 = OpVariable  %81  Function %82
%86 = OpLoad  %22  %84
%88 = OpLoad  %22  %87
%96 = OpAccessChain  %55  %31 %13
%97 = OpAccessChain  %54  %34 %13
OpBranch %98
%98 = OpLabel
%100 = OpAccessChain  %99  %97 %13
%101 = OpLoad  %15  %100
%102 = OpAccessChain  %99  %97 %13
%103 = OpLoad  %15  %102
%104 = OpConvertSToF  %16  %86
%105 = OpMatrixTimesVector  %16  %103 %104
%107 = OpCompositeExtract  %16  %101 0
%108 = OpVectorShuffle  %20  %107 %107 0 1 2
%109 = OpCompositeExtract  %16  %101 1
%110 = OpVectorShuffle  %20  %109 %109 0 1 2
%111 = OpCompositeExtract  %16  %101 2
%112 = OpVectorShuffle  %20  %111 %111 0 1 2
%113 = OpCompositeConstruct  %23  %108 %110 %112
%115 = OpVectorShuffle  %114  %88 %88 0 1 2
%116 = OpConvertSToF  %20  %115
%117 = OpMatrixTimesVector  %20  %113 %116
%118 = OpAccessChain  %106  %80 %14
OpStore %118 %117
%121 = OpAccessChain  %119  %80 %120
OpStore %121 %105
%122 = OpAccessChain  %99  %96 %13
%123 = OpLoad  %15  %122
%124 = OpMatrixTimesVector  %16  %123 %105
%125 = OpAccessChain  %119  %80 %13
OpStore %125 %124
%126 = OpLoad  %21  %80
%127 = OpCompositeExtract  %16  %126 0
OpStore %89 %127
%129 = OpAccessChain  %128  %89 %14
%130 = OpLoad  %6  %129
%131 = OpFNegate  %6  %130
OpStore %129 %131
%132 = OpCompositeExtract  %20  %126 1
OpStore %91 %132
%133 = OpCompositeExtract  %16  %126 2
OpStore %93 %133
OpReturn
OpFunctionEnd
%148 = OpFunction  %2  None %95
%137 = OpLabel
%134 = OpVariable  %106  Function %30
%135 = OpVariable  %136  Function %13
%141 = OpLoad  %16  %139
%144 = OpLoad  %20  %142
%146 = OpLoad  %16  %145
%138 = OpCompositeConstruct  %21  %141 %144 %146
%149 = OpAccessChain  %55  %31 %13
%150 = OpAccessChain  %54  %34 %13
%151 = OpAccessChain  %57  %37 %13
%152 = OpLoad  %27  %43
%153 = OpLoad  %28  %45
OpBranch %154
%154 = OpLabel
%155 = OpCompositeExtract  %20  %138 1
%156 = OpExtInst  %20  %1 Normalize %155
OpBranch %157
%157 = OpLabel
OpLoopMerge %158 %160 None
OpBranch %159
%159 = OpLabel
%161 = OpLoad  %12  %135
%164 = OpAccessChain  %163  %149 %14 %13
%165 = OpLoad  %12  %164
%166 = OpExtInst  %12  %1 UMin %165 %11
%167 = OpULessThan  %60  %161 %166
OpSelectionMerge %168 None
OpBranchConditional %167 %168 %169
%169 = OpLabel
OpBranch %158
%168 = OpLabel
%170 = OpLoad  %12  %135
%172 = OpAccessChain  %171  %151 %170
%173 = OpLoad  %24  %172
%174 = OpLoad  %12  %135
%175 = OpCompositeExtract  %15  %173 0
%176 = OpCompositeExtract  %16  %138 2
%177 = OpMatrixTimesVector  %16  %175 %176
%178 = OpFunctionCall  %6  %50 %174 %177
%179 = OpCompositeExtract  %16  %173 1
%180 = OpVectorShuffle  %20  %179 %179 0 1 2
%181 = OpCompositeExtract  %16  %138 2
%182 = OpVectorShuffle  %20  %181 %181 0 1 2
%183 = OpFSub  %20  %180 %182
%184 = OpExtInst  %20  %1 Normalize %183
%185 = OpDot  %6  %156 %184
%186 = OpExtInst  %6  %1 FMax %5 %185
%187 = OpLoad  %20  %134
%188 = OpFMul  %6  %178 %186
%189 = OpCompositeExtract  %16  %173 2
%190 = OpVectorShuffle  %20  %189 %189 0 1 2
%191 = OpVectorTimesScalar  %20  %190 %188
%192 = OpFAdd  %20  %187 %191
OpStore %134 %192
OpBranch %160
%160 = OpLabel
%193 = OpLoad  %12  %135
%194 = OpIAdd  %12  %193 %14
OpStore %135 %194
OpBranch %157
%158 = OpLabel
%195 = OpLoad  %20  %134
%196 = OpCompositeConstruct  %16  %195 %7
%198 = OpAccessChain  %197  %150 %14
%199 = OpLoad  %16  %198
%200 = OpFMul  %16  %196 %199
OpStore %147 %200
OpReturn
OpFunctionEnd
%212 = OpFunction  %2  None %95
%203 = OpLabel
%201 = OpVariable  %106  Function %30
%202 = OpVariable  %136  Function %13
%206 = OpLoad  %16  %205
%208 = OpLoad  %20  %207
%210 = OpLoad  %16  %209
%204 = OpCompositeConstruct  %21  %206 %208 %210
%213 = OpAccessChain  %55  %31 %13
%214 = OpAccessChain  %54  %34 %13
%215 = OpAccessChain  %56  %40 %13
%216 = OpLoad  %27  %43
%217 = OpLoad  %28  %45
OpBranch %218
%218 = OpLabel
%219 = OpCompositeExtract  %20  %204 1
%220 = OpExtInst  %20  %1 Normalize %219
OpBranch %221
%221 = OpLabel
OpLoopMerge %222 %224 None
OpBranch %223
%223 = OpLabel
%225 = OpLoad  %12  %202
%226 = OpAccessChain  %163  %213 %14 %13
%227 = OpLoad  %12  %226
%228 = OpExtInst  %12  %1 UMin %227 %11
%229 = OpULessThan  %60  %225 %228
OpSelectionMerge %230 None
OpBranchConditional %229 %230 %231
%231 = OpLabel
OpBranch %222
%230 = OpLabel
%232 = OpLoad  %12  %202
%234 = OpAccessChain  %233  %215 %232
%235 = OpLoad  %24  %234
%236 = OpLoad  %12  %202
%237 = OpCompositeExtract  %15  %235 0
%238 = OpCompositeExtract  %16  %204 2
%239 = OpMatrixTimesVector  %16  %237 %238
%240 = OpFunctionCall  %6  %50 %236 %239
%241 = OpCompositeExtract  %16  %235 1
%242 = OpVectorShuffle  %20  %241 %241 0 1 2
%243 = OpCompositeExtract  %16  %204 2
%244 = OpVectorShuffle  %20  %243 %243 0 1 2
%245 = OpFSub  %20  %242 %244
%246 = OpExtInst  %20  %1 Normalize %245
%247 = OpDot  %6  %220 %246
%248 = OpExtInst  %6  %1 FMax %5 %247
%249 = OpLoad  %20  %201
%250 = OpFMul  %6  %240 %248
%251 = OpCompositeExtract  %16  %235 2
%252 = OpVectorShuffle  %20  %251 %251 0 1 2
%253 = OpVectorTimesScalar  %20  %252 %250
%254 = OpFAdd  %20  %249 %253
OpStore %201 %254
OpBranch %224
%224 = OpLabel
%255 = OpLoad  %12  %202
%256 = OpIAdd  %12  %255 %14
OpStore %202 %256
OpBranch %221
%222 = OpLabel
%257 = OpLoad  %20  %201
%258 = OpCompositeConstruct  %16  %257 %7
%259 = OpAccessChain  %197  %214 %14
%260 = OpLoad  %16  %259
%261 = OpFMul  %16  %258 %260
OpStore %211 %261
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/skybox.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 98
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Vertex %39 "vs_main" %32 %35 %37
OpEntryPoint Fragment %90 "fs_main" %83 %86 %89
OpExecutionMode %90 OriginUpperLeft
OpMemberDecorate %12 0 Offset 0
OpMemberDecorate %12 1 Offset 16
OpMemberDecorate %14 0 Offset 0
OpMemberDecorate %14 0 ColMajor
OpMemberDecorate %14 0 MatrixStride 16
OpMemberDecorate %14 1 Offset 64
OpMemberDecorate %14 1 ColMajor
OpMemberDecorate %14 1 MatrixStride 16
OpDecorate %19 DescriptorSet 0
OpDecorate %19 Binding 0
OpDecorate %20 Block
OpMemberDecorate %20 0 Offset 0
OpDecorate %22 DescriptorSet 0
OpDecorate %22 Binding 1
OpDecorate %24 DescriptorSet 0
OpDecorate %24 Binding 2
OpDecorate %32 BuiltIn VertexIndex
OpDecorate %35 BuiltIn Position
OpDecorate %37 Location 0
OpDecorate %83 BuiltIn FragCoord
OpDecorate %86 Location 0
OpDecorate %89 Location 0
%2 = OpTypeVoid
%4 = OpTypeInt 32 1
%3 = OpConstant  %4  2
%5 = OpConstant  %4  1
%7 = OpTypeFloat 32
%6 = OpConstant  %7  4.0
%8 = OpConstant  %7  1.0
%9 = OpConstant  %7  0.0
%10 = OpTypeVector %7 4
%11 = OpTypeVector %7 3
%12 = OpTypeStruct %10 %11
%13 = OpTypeMatrix %10 4
%14 = OpTypeStruct %13 %13
%15 = OpTypeInt 32 0
%16 = OpTypeMatrix %11 3
%17 = OpTypeImage %7 Cube 0 0 0 1 Unknown
%18 = OpTypeSampler
%20 = OpTypeStruct %14
%21 = OpTypePointer Uniform %20
%19 = OpVariable  %21  Uniform
%23 = OpTypePointer UniformConstant %17
%22 = OpVariable  %23  UniformConstant
%25 = OpTypePointer UniformConstant %18
%24 = OpVariable  %25  UniformConstant
%27 = OpTypePointer Function %4
%28 = OpConstantNull  %4
%30 = OpConstantNull  %4
%33 = OpTypePointer Input %15
%32 = OpVariable  %33  Input
%36 = OpTypePointer Output %10
%35 = OpVariable  %36  Output
%38 = OpTypePointer Output %11
%37 = OpVariable  %38  Output
%40 = OpTypeFunction %2
%41 = OpTypePointer Uniform %14
%42 = OpConstant  %15  0
%58 = OpTypePointer Uniform %13
%59 = OpTypePointer Uniform %10
%60 = OpConstant  %15  1
%67 = OpConstant  %15  2
%84 = OpTypePointer Input %10
%83 = OpVariable  %84  Input
%87 = OpTypePointer Input %11
%86 = OpVariable  %87  Input
%89 = OpVariable  %36  Output
%95 = OpTypeSampledImage %17
%39 = OpFunction  %2  None %40
%31 = OpLabel
%26 = OpVariable  %27  Function %28
%29 = OpVariable  %27  Function %30
%34 = OpLoad  %15  %32
%43 = OpAccessChain  %41  %19 %42
OpBranch %44
%44 = OpLabel
%45 = OpBitcast  %4  %34
%46 = OpSDiv  %4  %45 %3
OpStore %26 %46
%47 = OpBitcast  %4  %34
%48 = OpBitwiseAnd  %4  %47 %5
OpStore %29 %48
%49 = OpLoad  %4  %26
%50 = OpConvertSToF  %7  %49
%51 = OpFMul  %7  %50 %6
%52 = OpFSub  %7  %51 %8
%53 = OpLoad  %4  %29
%54 = OpConvertSToF  %7  %53
%55 = OpFMul  %7  %54 %6
%56 = OpFSub  %7  %55 %8
%57 = OpCompositeConstruct  %10  %52 %56 %9 %8
%61 = OpAccessChain  %59  %43 %60 %42
%62 = OpLoad  %10  %61
%63 = OpVectorShuffle  %11  %62 %62 0 1 2
%64 = OpAccessChain  %59  %43 %60 %60
%65 = OpLoad  %10  %64
%66 = OpVectorShuffle  %11  %65 %65 0 1 2
%68 = OpAccessChain  %59  %43 %60 %67
%69 = OpLoad  %10  %68
%70 = OpVectorShuffle  %11  %69 %69 0 1 2
%71 = OpCompositeConstruct  %16  %63 %66 %70
%72 = OpTranspose  %16  %71
%73 = OpAccessChain  %58  %43 %42
%74 = OpLoad  %13  %73
%75 = OpMatrixTimesVector  %10  %74 %57
%76 = OpVectorShuffle  %11  %75 %75 0 1 2
%77 = OpMatrixTimesVector  %11  %72 %76
%78 = OpCompositeConstruct  %12  %57 %77
%79 = OpCompositeExtract  %10  %78 0
OpStore %35 %79
%80 = OpCompositeExtract  %11  %78 1
OpStore %37 %80
OpReturn
OpFunctionEnd
%90 = OpFunction  %2  None %40
%81 = OpLabel
%85 = OpLoad  %10  %83
%88 = OpLoad  %11  %86
%82 = OpCompositeConstruct  %12  %85 %88
%91 = OpLoad  %17  %22
%92 = OpLoad  %18  %24
OpBranch %93
%93 = OpLabel
%94 = OpCompositeExtract  %11  %82 1
%96 = OpSampledImage  %95  %91 %92
%97 = OpImageSampleImplicitLod  %10  %96 %94
OpStore %89 %97
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/standard.spvasm
================================================
; SPIR-V
; Version: 1.1
; Generator: rspirv
; Bound: 19
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Fragment %11 "derivatives" %6 %9
OpExecutionMode %11 OriginUpperLeft
OpDecorate %6 BuiltIn FragCoord
OpDecorate %9 Location 0
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpTypeVector %4 4
%7 = OpTypePointer Input %3
%6 = OpVariable  %7  Input
%10 = OpTypePointer Output %3
%9 = OpVariable  %10  Output
%12 = OpTypeFunction %2
%11 = OpFunction  %2  None %12
%5 = OpLabel
%8 = OpLoad  %3  %6
OpBranch %13
%13 = OpLabel
%14 = OpDPdx  %3  %8
%15 = OpDPdy  %3  %8
%16 = OpFwidth  %3  %8
%17 = OpFAdd  %3  %14 %15
%18 = OpFMul  %3  %17 %16
OpStore %9 %18
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/spv/texture-arg.spvasm
================================================
; SPIR-V
; Version: 1.0
; Generator: rspirv
; Bound: 34
OpCapability Shader
%1 = OpExtInstImport "GLSL.std.450"
OpMemoryModel Logical GLSL450
OpEntryPoint Fragment %28 "main" %26
OpExecutionMode %28 OriginUpperLeft
OpSource GLSL 450
OpName %9 "Texture"
OpName %11 "Sampler"
OpName %14 "Passed_Texture"
OpName %16 "Passed_Sampler"
OpName %18 "test"
OpName %28 "main"
OpDecorate %9 DescriptorSet 0
OpDecorate %9 Binding 0
OpDecorate %11 DescriptorSet 0
OpDecorate %11 Binding 1
OpDecorate %26 Location 0
%2 = OpTypeVoid
%4 = OpTypeFloat 32
%3 = OpConstant  %4  0.0
%5 = OpTypeImage %4 2D 0 0 0 1 Unknown
%6 = OpTypeSampler
%7 = OpTypeVector %4 4
%8 = OpTypeVector %4 2
%10 = OpTypePointer UniformConstant %5
%9 = OpVariable  %10  UniformConstant
%12 = OpTypePointer UniformConstant %6
%11 = OpVariable  %12  UniformConstant
%19 = OpTypeFunction %7 %10 %12
%22 = OpTypeSampledImage %5
%27 = OpTypePointer Output %7
%26 = OpVariable  %27  Output
%29 = OpTypeFunction %2
%18 = OpFunction  %7  None %19
%14 = OpFunctionParameter  %10
%16 = OpFunctionParameter  %12
%13 = OpLabel
%15 = OpLoad  %5  %14
%17 = OpLoad  %6  %16
OpBranch %20
%20 = OpLabel
%21 = OpCompositeConstruct  %8  %3 %3
%23 = OpSampledImage  %22  %15 %17
%24 = OpImageSampleImplicitLod  %7  %23 %21
OpReturnValue %24
OpFunctionEnd
%28 = OpFunction  %2  None %29
%25 = OpLabel
%30 = OpLoad  %5  %9
%31 = OpLoad  %6  %11
OpBranch %32
%32 = OpLabel
%33 = OpFunctionCall  %7  %18 %9 %11
OpStore %26 %33
OpReturn
OpFunctionEnd

================================================
FILE: lib/naga/tests/out/wgsl/210-bevy-2d-shader-frag.wgsl
================================================
struct ColorMaterial_color {
    Color: vec4<f32>,
}

struct FragmentOutput {
    @location(0) o_Target: vec4<f32>,
}

var<private> v_Uv_1: vec2<f32>;
var<private> o_Target: vec4<f32>;
@group(1) @binding(0) 
var<uniform> global: ColorMaterial_color;

fn main_1() {
    var color: vec4<f32>;

    let _e4 = global.Color;
    color = _e4;
    let _e6 = color;
    o_Target = _e6;
    return;
}

@fragment 
fn main(@location(0) v_Uv: vec2<f32>) -> FragmentOutput {
    v_Uv_1 = v_Uv;
    main_1();
    let _e9 = o_Target;
    return FragmentOutput(_e9);
}


================================================
FILE: lib/naga/tests/out/wgsl/210-bevy-2d-shader-vert.wgsl
================================================
struct Camera {
    ViewProj: mat4x4<f32>,
}

struct Transform {
    Model: mat4x4<f32>,
}

struct Sprite_size {
    size: vec2<f32>,
}

struct VertexOutput {
    @location(0) v_Uv: vec2<f32>,
    @builtin(position) member: vec4<f32>,
}

var<private> Vertex_Position_1: vec3<f32>;
var<private> Vertex_Normal_1: vec3<f32>;
var<private> Vertex_Uv_1: vec2<f32>;
var<private> v_Uv: vec2<f32>;
@group(0) @binding(0) 
var<uniform> global: Camera;
@group(2) @binding(0) 
var<uniform> global_1: Transform;
@group(2) @binding(1) 
var<uniform> global_2: Sprite_size;
var<private> gl_Position: vec4<f32>;

fn main_1() {
    var position: vec3<f32>;

    let _e10 = Vertex_Uv_1;
    v_Uv = _e10;
    let _e11 = Vertex_Position_1;
    let _e12 = global_2.size;
    position = (_e11 * vec3<f32>(_e12.x, _e12.y, 1.0));
    let _e20 = global.ViewProj;
    let _e21 = global_1.Model;
    let _e23 = position;
    gl_Position = ((_e20 * _e21) * vec4<f32>(_e23.x, _e23.y, _e23.z, 1.0));
    return;
}

@vertex 
fn main(@location(0) Vertex_Position: vec3<f32>, @location(1) Vertex_Normal: vec3<f32>, @location(2) Vertex_Uv: vec2<f32>) -> VertexOutput {
    Vertex_Position_1 = Vertex_Position;
    Vertex_Normal_1 = Vertex_Normal;
    Vertex_Uv_1 = Vertex_Uv;
    _ = (&global.ViewProj);
    _ = (&global_1.Model);
    main_1();
    let _e21 = v_Uv;
    let _e23 = gl_Position;
    return VertexOutput(_e21, _e23);
}


================================================
FILE: lib/naga/tests/out/wgsl/210-bevy-shader-vert.wgsl
================================================
struct Camera {
    ViewProj: mat4x4<f32>,
}

struct Transform {
    Model: mat4x4<f32>,
}

struct VertexOutput {
    @location(0) v_Position: vec3<f32>,
    @location(1) v_Normal: vec3<f32>,
    @location(2) v_Uv: vec2<f32>,
    @builtin(position) member: vec4<f32>,
}

var<private> Vertex_Position_1: vec3<f32>;
var<private> Vertex_Normal_1: vec3<f32>;
var<private> Vertex_Uv_1: vec2<f32>;
var<private> v_Position: vec3<f32>;
var<private> v_Normal: vec3<f32>;
var<private> v_Uv: vec2<f32>;
@group(0) @binding(0) 
var<uniform> global: Camera;
@group(2) @binding(0) 
var<uniform> global_1: Transform;
var<private> gl_Position: vec4<f32>;

fn main_1() {
    let _e10 = global_1.Model;
    let _e11 = Vertex_Normal_1;
    v_Normal = (_e10 * vec4<f32>(_e11.x, _e11.y, _e11.z, 1.0)).xyz;
    let _e19 = global_1.Model;
    let _e29 = Vertex_Normal_1;
    v_Normal = (mat3x3<f32>(_e19[0].xyz, _e19[1].xyz, _e19[2].xyz) * _e29);
    let _e31 = global_1.Model;
    let _e32 = Vertex_Position_1;
    v_Position = (_e31 * vec4<f32>(_e32.x, _e32.y, _e32.z, 1.0)).xyz;
    let _e40 = Vertex_Uv_1;
    v_Uv = _e40;
    let _e42 = global.ViewProj;
    let _e43 = v_Position;
    gl_Position = (_e42 * vec4<f32>(_e43.x, _e43.y, _e43.z, 1.0));
    return;
}

@vertex 
fn main(@location(0) Vertex_Position: vec3<f32>, @location(1) Vertex_Normal: vec3<f32>, @location(2) Vertex_Uv: vec2<f32>) -> VertexOutput {
    Vertex_Position_1 = Vertex_Position;
    Vertex_Normal_1 = Vertex_Normal;
    Vertex_Uv_1 = Vertex_Uv;
    _ = (&global.ViewProj);
    main_1();
    let _e23 = v_Position;
    let _e25 = v_Normal;
    let _e27 = v_Uv;
    let _e29 = gl_Position;
    return VertexOutput(_e23, _e25, _e27, _e29);
}


================================================
FILE: lib/naga/tests/out/wgsl/246-collatz-comp.wgsl
================================================
struct PrimeIndices {
    indices: array<u32>,
}

@group(0) @binding(0) 
var<storage, read_write> global: PrimeIndices;
var<private> gl_GlobalInvocationID: vec3<u32>;

fn collatz_iterations(n: u32) -> u32 {
    var n_1: u32;
    var i: u32;

    _ = (&global.indices);
    n_1 = n;
    i = u32(0);
    loop {
        let _e7 = n_1;
        if !((_e7 != u32(1))) {
            break;
        }
        {
            _ = n_1;
            let _e14 = n_1;
            let _e15 = f32(_e14);
            let _e17 = f32(2);
            if ((_e15 - (floor((_e15 / _e17)) * _e17)) == f32(0)) {
                {
                    let _e25 = n_1;
                    n_1 = (_e25 / u32(2));
                }
            } else {
                {
                    let _e30 = n_1;
                    n_1 = ((u32(3) * _e30) + u32(1));
                }
            }
            let _e36 = i;
            i = (_e36 + 1u);
        }
    }
    let _e39 = i;
    return _e39;
}

fn main_1() {
    var index: u32;

    let _e3 = gl_GlobalInvocationID;
    index = _e3.x;
    let _e6 = index;
    let _e8 = index;
    _ = global.indices[_e8];
    let _e11 = index;
    let _e13 = global.indices[_e11];
    let _e14 = collatz_iterations(_e13);
    global.indices[_e6] = _e14;
    return;
}

@compute @workgroup_size(1, 1, 1) 
fn main(@builtin(global_invocation_id) param: vec3<u32>) {
    gl_GlobalInvocationID = param;
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/277-casting-vert.wgsl
================================================
fn main_1() {
    var a: f32;

    a = f32(1);
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/280-matrix-cast-vert.wgsl
================================================
fn main_1() {
    var a: mat4x4<f32>;

    let _e1 = f32(1);
    a = mat4x4<f32>(vec4<f32>(_e1, 0.0, 0.0, 0.0), vec4<f32>(0.0, _e1, 0.0, 0.0), vec4<f32>(0.0, 0.0, _e1, 0.0), vec4<f32>(0.0, 0.0, 0.0, _e1));
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/484-preprocessor-if-vert.wgsl
================================================
fn main_1() {
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/800-out-of-bounds-panic-vert.wgsl
================================================
struct Globals {
    view_matrix: mat4x4<f32>,
}

struct VertexPushConstants {
    world_matrix: mat4x4<f32>,
}

struct VertexOutput {
    @location(0) frag_color: vec4<f32>,
    @builtin(position) member: vec4<f32>,
}

@group(0) @binding(0) 
var<uniform> global: Globals;
var<push_constant> global_1: VertexPushConstants;
var<private> position_1: vec2<f32>;
var<private> color_1: vec4<f32>;
var<private> frag_color: vec4<f32>;
var<private> gl_Position: vec4<f32>;

fn main_1() {
    let _e7 = color_1;
    frag_color = _e7;
    let _e9 = global.view_matrix;
    let _e10 = global_1.world_matrix;
    let _e12 = position_1;
    gl_Position = ((_e9 * _e10) * vec4<f32>(_e12.x, _e12.y, 0.0, 1.0));
    let _e20 = gl_Position;
    let _e22 = gl_Position;
    gl_Position.z = ((_e20.z + _e22.w) / 2.0);
    return;
}

@vertex 
fn main(@location(0) position: vec2<f32>, @location(1) color: vec4<f32>) -> VertexOutput {
    position_1 = position;
    color_1 = color;
    _ = (&global.view_matrix);
    _ = (&global_1.world_matrix);
    main_1();
    let _e15 = frag_color;
    let _e17 = gl_Position;
    return VertexOutput(_e15, _e17);
}


================================================
FILE: lib/naga/tests/out/wgsl/896-push-constant-vert.wgsl
================================================
struct PushConstants {
    example: f32,
}

var<push_constant> c: PushConstants;

fn main_1() {
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/900-implicit-conversions-vert.wgsl
================================================
fn exact(a: f32) {
    var a_1: f32;

    a_1 = a;
    return;
}

fn exact_1(a_2: i32) {
    var a_3: i32;

    a_3 = a_2;
    return;
}

fn implicit(a_4: f32) {
    var a_5: f32;

    a_5 = a_4;
    return;
}

fn implicit_1(a_6: i32) {
    var a_7: i32;

    a_7 = a_6;
    return;
}

fn implicit_dims(v: f32) {
    var v_1: f32;

    v_1 = v;
    return;
}

fn implicit_dims_1(v_2: vec2<f32>) {
    var v_3: vec2<f32>;

    v_3 = v_2;
    return;
}

fn implicit_dims_2(v_4: vec3<f32>) {
    var v_5: vec3<f32>;

    v_5 = v_4;
    return;
}

fn implicit_dims_3(v_6: vec4<f32>) {
    var v_7: vec4<f32>;

    v_7 = v_6;
    return;
}

fn main_1() {
    exact_1(1);
    implicit(f32(1u));
    _ = vec3<i32>(1);
    implicit_dims_2(vec3<f32>(vec3<i32>(1)));
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/901-lhs-field-select-vert.wgsl
================================================
fn main_1() {
    var a: vec4<f32>;

    a = vec4<f32>(1.0);
    a.x = 2.0;
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/931-constant-emitting-vert.wgsl
================================================
fn function_() -> f32 {
    return 0.0;
}

fn main_1() {
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/932-for-loop-if-vert.wgsl
================================================
fn main_1() {
    var i: i32;

    i = 0;
    loop {
        let _e2 = i;
        if !((_e2 < 1)) {
            break;
        }
        {
        }
        continuing {
            let _e6 = i;
            i = (_e6 + 1);
        }
    }
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/access.wgsl
================================================
struct GlobalConst {
    a: u32,
    b: vec3<u32>,
    c: i32,
}

struct AlignedWrapper {
    value: i32,
}

struct Bar {
    _matrix: mat4x3<f32>,
    matrix_array: array<mat2x2<f32>,2>,
    atom: atomic<i32>,
    arr: array<vec2<u32>,2>,
    data: array<AlignedWrapper>,
}

struct Baz {
    m: mat3x2<f32>,
}

struct MatCx2InArray {
    am: array<mat4x2<f32>,2>,
}

var<private> global_const: GlobalConst = GlobalConst(0u, vec3<u32>(0u, 0u, 0u), 0);
@group(0) @binding(0) 
var<storage, read_write> bar: Bar;
@group(0) @binding(1) 
var<uniform> baz: Baz;
@group(0) @binding(2) 
var<storage, read_write> qux: vec2<i32>;
@group(0) @binding(3) 
var<uniform> nested_mat_cx2_: MatCx2InArray;
var<workgroup> val: u32;

fn test_matrix_within_struct_accesses() {
    var idx: i32 = 1;
    var t: Baz;

    let _e6 = idx;
    idx = (_e6 - 1);
    _ = baz.m;
    _ = baz.m[0];
    let _e16 = idx;
    _ = baz.m[_e16];
    _ = baz.m[0][1];
    let _e28 = idx;
    _ = baz.m[0][_e28];
    let _e32 = idx;
    _ = baz.m[_e32][1];
    let _e38 = idx;
    let _e40 = idx;
    _ = baz.m[_e38][_e40];
    t = Baz(mat3x2<f32>(vec2<f32>(1.0), vec2<f32>(2.0), vec2<f32>(3.0)));
    let _e52 = idx;
    idx = (_e52 + 1);
    t.m = mat3x2<f32>(vec2<f32>(6.0), vec2<f32>(5.0), vec2<f32>(4.0));
    t.m[0] = vec2<f32>(9.0);
    let _e69 = idx;
    t.m[_e69] = vec2<f32>(90.0);
    t.m[0][1] = 10.0;
    let _e82 = idx;
    t.m[0][_e82] = 20.0;
    let _e86 = idx;
    t.m[_e86][1] = 30.0;
    let _e92 = idx;
    let _e94 = idx;
    t.m[_e92][_e94] = 40.0;
    return;
}

fn test_matrix_within_array_within_struct_accesses() {
    var idx_1: i32 = 1;
    var t_1: MatCx2InArray;

    let _e7 = idx_1;
    idx_1 = (_e7 - 1);
    _ = nested_mat_cx2_.am;
    _ = nested_mat_cx2_.am[0];
    _ = nested_mat_cx2_.am[0][0];
    let _e25 = idx_1;
    _ = nested_mat_cx2_.am[0][_e25];
    _ = nested_mat_cx2_.am[0][0][1];
    let _e41 = idx_1;
    _ = nested_mat_cx2_.am[0][0][_e41];
    let _e47 = idx_1;
    _ = nested_mat_cx2_.am[0][_e47][1];
    let _e55 = idx_1;
    let _e57 = idx_1;
    _ = nested_mat_cx2_.am[0][_e55][_e57];
    t_1 = MatCx2InArray(array<mat4x2<f32>,2>(mat4x2<f32>(vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0)), mat4x2<f32>(vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0))));
    let _e63 = idx_1;
    idx_1 = (_e63 + 1);
    t_1.am = array<mat4x2<f32>,2>(mat4x2<f32>(vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0)), mat4x2<f32>(vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0), vec2<f32>(0.0, 0.0)));
    t_1.am[0] = mat4x2<f32>(vec2<f32>(8.0), vec2<f32>(7.0), vec2<f32>(6.0), vec2<f32>(5.0));
    t_1.am[0][0] = vec2<f32>(9.0);
    let _e90 = idx_1;
    t_1.am[0][_e90] = vec2<f32>(90.0);
    t_1.am[0][0][1] = 10.0;
    let _e107 = idx_1;
    t_1.am[0][0][_e107] = 20.0;
    let _e113 = idx_1;
    t_1.am[0][_e113][1] = 30.0;
    let _e121 = idx_1;
    let _e123 = idx_1;
    t_1.am[0][_e121][_e123] = 40.0;
    return;
}

fn read_from_private(foo_1: ptr<function, f32>) -> f32 {
    let _e6 = (*foo_1);
    return _e6;
}

fn test_arr_as_arg(a: array<array<f32,10>,5>) -> f32 {
    return a[4][9];
}

fn assign_through_ptr_fn(p: ptr<workgroup, u32>) {
    (*p) = 42u;
    return;
}

@vertex 
fn foo_vert(@builtin(vertex_index) vi: u32) -> @builtin(position) vec4<f32> {
    var foo: f32 = 0.0;
    var c: array<i32,5>;

    let baz_1 = foo;
    foo = 1.0;
    test_matrix_within_struct_accesses();
    test_matrix_within_array_within_struct_accesses();
    let _matrix = bar._matrix;
    let arr = bar.arr;
    let b = bar._matrix[3][0];
    let a_1 = bar.data[(arrayLength((&bar.data)) - 2u)].value;
    let c_1 = qux;
    let data_pointer = (&bar.data[0].value);
    let _e32 = read_from_private((&foo));
    c = array<i32,5>(a_1, i32(b), 3, 4, 5);
    c[(vi + 1u)] = 42;
    let value = c[vi];
    let _e46 = test_arr_as_arg(array<array<f32,10>,5>(array<f32,10>(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), array<f32,10>(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), array<f32,10>(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), array<f32,10>(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), array<f32,10>(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0)));
    return vec4<f32>((_matrix * vec4<f32>(vec4<i32>(value))), 2.0);
}

@fragment 
fn foo_frag() -> @location(0) vec4<f32> {
    bar._matrix[1][2] = 1.0;
    bar._matrix = mat4x3<f32>(vec3<f32>(0.0), vec3<f32>(1.0), vec3<f32>(2.0), vec3<f32>(3.0));
    bar.arr = array<vec2<u32>,2>(vec2<u32>(0u), vec2<u32>(1u));
    bar.data[1].value = 1;
    qux = vec2<i32>(0, 0);
    return vec4<f32>(0.0);
}

@compute @workgroup_size(1, 1, 1) 
fn atomics() {
    var tmp: i32;

    let value_1 = atomicLoad((&bar.atom));
    let _e10 = atomicAdd((&bar.atom), 5);
    tmp = _e10;
    let _e13 = atomicSub((&bar.atom), 5);
    tmp = _e13;
    let _e16 = atomicAnd((&bar.atom), 5);
    tmp = _e16;
    let _e19 = atomicOr((&bar.atom), 5);
    tmp = _e19;
    let _e22 = atomicXor((&bar.atom), 5);
    tmp = _e22;
    let _e25 = atomicMin((&bar.atom), 5);
    tmp = _e25;
    let _e28 = atomicMax((&bar.atom), 5);
    tmp = _e28;
    let _e31 = atomicExchange((&bar.atom), 5);
    tmp = _e31;
    atomicStore((&bar.atom), value_1);
    return;
}

@compute @workgroup_size(1, 1, 1) 
fn assign_through_ptr() {
    assign_through_ptr_fn((&val));
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/bevy-pbr-frag.wgsl
================================================
struct PointLight {
    pos: vec4<f32>,
    color: vec4<f32>,
    lightParams: vec4<f32>,
}

struct DirectionalLight {
    direction: vec4<f32>,
    color: vec4<f32>,
}

struct CameraViewProj {
    ViewProj: mat4x4<f32>,
}

struct CameraPosition {
    CameraPos: vec4<f32>,
}

struct Lights {
    AmbientColor: vec4<f32>,
    NumLights: vec4<u32>,
    PointLights: array<PointLight,10u>,
    DirectionalLights: array<DirectionalLight,1u>,
}

struct StandardMaterial_base_color {
    base_color: vec4<f32>,
}

struct StandardMaterial_roughness {
    perceptual_roughness: f32,
}

struct StandardMaterial_metallic {
    metallic: f32,
}

struct StandardMaterial_reflectance {
    reflectance: f32,
}

struct StandardMaterial_emissive {
    emissive: vec4<f32>,
}

struct FragmentOutput {
    @location(0) o_Target: vec4<f32>,
}

var<private> v_WorldPosition_1: vec3<f32>;
var<private> v_WorldNormal_1: vec3<f32>;
var<private> v_Uv_1: vec2<f32>;
var<private> v_WorldTangent_1: vec4<f32>;
var<private> o_Target: vec4<f32>;
@group(0) @binding(0) 
var<uniform> global: CameraViewProj;
@group(0) @binding(1) 
var<uniform> global_1: CameraPosition;
@group(1) @binding(0) 
var<uniform> global_2: Lights;
@group(3) @binding(0) 
var<uniform> global_3: StandardMaterial_base_color;
@group(3) @binding(1) 
var StandardMaterial_base_color_texture: texture_2d<f32>;
@group(3) @binding(2) 
var StandardMaterial_base_color_texture_sampler: sampler;
@group(3) @binding(3) 
var<uniform> global_4: StandardMaterial_roughness;
@group(3) @binding(4) 
var<uniform> global_5: StandardMaterial_metallic;
@group(3) @binding(5) 
var StandardMaterial_metallic_roughness_texture: texture_2d<f32>;
@group(3) @binding(6) 
var StandardMaterial_metallic_roughness_texture_sampler: sampler;
@group(3) @binding(7) 
var<uniform> global_6: StandardMaterial_reflectance;
@group(3) @binding(8) 
var StandardMaterial_normal_map: texture_2d<f32>;
@group(3) @binding(9) 
var StandardMaterial_normal_map_sampler: sampler;
@group(3) @binding(10) 
var StandardMaterial_occlusion_texture: texture_2d<f32>;
@group(3) @binding(11) 
var StandardMaterial_occlusion_texture_sampler: sampler;
@group(3) @binding(12) 
var<uniform> global_7: StandardMaterial_emissive;
@group(3) @binding(13) 
var StandardMaterial_emissive_texture: texture_2d<f32>;
@group(3) @binding(14) 
var StandardMaterial_emissive_texture_sampler: sampler;
var<private> gl_FrontFacing: bool;

fn pow5_(x: f32) -> f32 {
    var x_1: f32;
    var x2_: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    x_1 = x;
    let _e42 = x_1;
    let _e43 = x_1;
    x2_ = (_e42 * _e43);
    let _e46 = x2_;
    let _e47 = x2_;
    let _e49 = x_1;
    return ((_e46 * _e47) * _e49);
}

fn getDistanceAttenuation(distanceSquare: f32, inverseRangeSquared: f32) -> f32 {
    var distanceSquare_1: f32;
    var inverseRangeSquared_1: f32;
    var factor: f32;
    var smoothFactor: f32;
    var attenuation: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    distanceSquare_1 = distanceSquare;
    inverseRangeSquared_1 = inverseRangeSquared;
    let _e44 = distanceSquare_1;
    let _e45 = inverseRangeSquared_1;
    factor = (_e44 * _e45);
    let _e49 = factor;
    let _e50 = factor;
    _ = (1.0 - (_e49 * _e50));
    let _e56 = factor;
    let _e57 = factor;
    smoothFactor = clamp((1.0 - (_e56 * _e57)), 0.0, 1.0);
    let _e64 = smoothFactor;
    let _e65 = smoothFactor;
    attenuation = (_e64 * _e65);
    let _e68 = attenuation;
    _ = distanceSquare_1;
    let _e73 = distanceSquare_1;
    return ((_e68 * 1.0) / max(_e73, 0.0010000000474974513));
}

fn D_GGX(roughness: f32, NoH: f32, h: vec3<f32>) -> f32 {
    var roughness_1: f32;
    var NoH_1: f32;
    var oneMinusNoHSquared: f32;
    var a: f32;
    var k: f32;
    var d: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    roughness_1 = roughness;
    NoH_1 = NoH;
    let _e46 = NoH_1;
    let _e47 = NoH_1;
    oneMinusNoHSquared = (1.0 - (_e46 * _e47));
    let _e51 = NoH_1;
    let _e52 = roughness_1;
    a = (_e51 * _e52);
    let _e55 = roughness_1;
    let _e56 = oneMinusNoHSquared;
    let _e57 = a;
    let _e58 = a;
    k = (_e55 / (_e56 + (_e57 * _e58)));
    let _e63 = k;
    let _e64 = k;
    d = ((_e63 * _e64) * (1.0 / 3.1415927410125732));
    let _e70 = d;
    return _e70;
}

fn V_SmithGGXCorrelated(roughness_2: f32, NoV: f32, NoL: f32) -> f32 {
    var roughness_3: f32;
    var NoV_1: f32;
    var NoL_1: f32;
    var a2_: f32;
    var lambdaV: f32;
    var lambdaL: f32;
    var v: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    roughness_3 = roughness_2;
    NoV_1 = NoV;
    NoL_1 = NoL;
    let _e46 = roughness_3;
    let _e47 = roughness_3;
    a2_ = (_e46 * _e47);
    let _e50 = NoL_1;
    let _e51 = NoV_1;
    let _e52 = a2_;
    let _e53 = NoV_1;
    let _e56 = NoV_1;
    let _e58 = a2_;
    _ = (((_e51 - (_e52 * _e53)) * _e56) + _e58);
    let _e60 = NoV_1;
    let _e61 = a2_;
    let _e62 = NoV_1;
    let _e65 = NoV_1;
    let _e67 = a2_;
    lambdaV = (_e50 * sqrt((((_e60 - (_e61 * _e62)) * _e65) + _e67)));
    let _e72 = NoV_1;
    let _e73 = NoL_1;
    let _e74 = a2_;
    let _e75 = NoL_1;
    let _e78 = NoL_1;
    let _e80 = a2_;
    _ = (((_e73 - (_e74 * _e75)) * _e78) + _e80);
    let _e82 = NoL_1;
    let _e83 = a2_;
    let _e84 = NoL_1;
    let _e87 = NoL_1;
    let _e89 = a2_;
    lambdaL = (_e72 * sqrt((((_e82 - (_e83 * _e84)) * _e87) + _e89)));
    let _e95 = lambdaV;
    let _e96 = lambdaL;
    v = (0.5 / (_e95 + _e96));
    let _e100 = v;
    return _e100;
}

fn F_Schlick(f0_: vec3<f32>, f90_: f32, VoH: f32) -> vec3<f32> {
    var f90_1: f32;
    var VoH_1: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    f90_1 = f90_;
    VoH_1 = VoH;
    let _e45 = f90_1;
    let _e49 = VoH_1;
    _ = (1.0 - _e49);
    let _e52 = VoH_1;
    let _e54 = pow5_((1.0 - _e52));
    return (f0_ + ((vec3<f32>(_e45) - f0_) * _e54));
}

fn F_Schlick_1(f0_1: f32, f90_2: f32, VoH_2: f32) -> f32 {
    var f0_2: f32;
    var f90_3: f32;
    var VoH_3: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    f0_2 = f0_1;
    f90_3 = f90_2;
    VoH_3 = VoH_2;
    let _e46 = f0_2;
    let _e47 = f90_3;
    let _e48 = f0_2;
    let _e51 = VoH_3;
    _ = (1.0 - _e51);
    let _e54 = VoH_3;
    let _e56 = pow5_((1.0 - _e54));
    return (_e46 + ((_e47 - _e48) * _e56));
}

fn fresnel(f0_3: vec3<f32>, LoH: f32) -> vec3<f32> {
    var f0_4: vec3<f32>;
    var LoH_1: f32;
    var f90_4: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    f0_4 = f0_3;
    LoH_1 = LoH;
    _ = f0_4;
    _ = vec3<f32>((50.0 * 0.33000001311302185));
    let _e49 = f0_4;
    _ = dot(_e49, vec3<f32>((50.0 * 0.33000001311302185)));
    _ = f0_4;
    _ = vec3<f32>((50.0 * 0.33000001311302185));
    let _e62 = f0_4;
    f90_4 = clamp(dot(_e62, vec3<f32>((50.0 * 0.33000001311302185))), 0.0, 1.0);
    _ = f0_4;
    _ = f90_4;
    _ = LoH_1;
    let _e75 = f0_4;
    let _e76 = f90_4;
    let _e77 = LoH_1;
    let _e78 = F_Schlick(_e75, _e76, _e77);
    return _e78;
}

fn specular(f0_5: vec3<f32>, roughness_4: f32, h_1: vec3<f32>, NoV_2: f32, NoL_2: f32, NoH_2: f32, LoH_2: f32, specularIntensity: f32) -> vec3<f32> {
    var f0_6: vec3<f32>;
    var roughness_5: f32;
    var NoV_3: f32;
    var NoL_3: f32;
    var NoH_3: f32;
    var LoH_3: f32;
    var specularIntensity_1: f32;
    var D: f32;
    var V: f32;
    var F: vec3<f32>;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    f0_6 = f0_5;
    roughness_5 = roughness_4;
    NoV_3 = NoV_2;
    NoL_3 = NoL_2;
    NoH_3 = NoH_2;
    LoH_3 = LoH_2;
    specularIntensity_1 = specularIntensity;
    _ = roughness_5;
    _ = NoH_3;
    let _e57 = roughness_5;
    let _e58 = NoH_3;
    let _e59 = D_GGX(_e57, _e58, h_1);
    D = _e59;
    _ = roughness_5;
    _ = NoV_3;
    _ = NoL_3;
    let _e64 = roughness_5;
    let _e65 = NoV_3;
    let _e66 = NoL_3;
    let _e67 = V_SmithGGXCorrelated(_e64, _e65, _e66);
    V = _e67;
    _ = f0_6;
    _ = LoH_3;
    let _e71 = f0_6;
    let _e72 = LoH_3;
    let _e73 = fresnel(_e71, _e72);
    F = _e73;
    let _e75 = specularIntensity_1;
    let _e76 = D;
    let _e78 = V;
    let _e80 = F;
    return (((_e75 * _e76) * _e78) * _e80);
}

fn Fd_Burley(roughness_6: f32, NoV_4: f32, NoL_4: f32, LoH_4: f32) -> f32 {
    var roughness_7: f32;
    var NoV_5: f32;
    var NoL_5: f32;
    var LoH_5: f32;
    var f90_5: f32;
    var lightScatter: f32;
    var viewScatter: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    roughness_7 = roughness_6;
    NoV_5 = NoV_4;
    NoL_5 = NoL_4;
    LoH_5 = LoH_4;
    let _e50 = roughness_7;
    let _e52 = LoH_5;
    let _e54 = LoH_5;
    f90_5 = (0.5 + (((2.0 * _e50) * _e52) * _e54));
    _ = f90_5;
    _ = NoL_5;
    let _e62 = f90_5;
    let _e63 = NoL_5;
    let _e64 = F_Schlick_1(1.0, _e62, _e63);
    lightScatter = _e64;
    _ = f90_5;
    _ = NoV_5;
    let _e70 = f90_5;
    let _e71 = NoV_5;
    let _e72 = F_Schlick_1(1.0, _e70, _e71);
    viewScatter = _e72;
    let _e74 = lightScatter;
    let _e75 = viewScatter;
    return ((_e74 * _e75) * (1.0 / 3.1415927410125732));
}

fn EnvBRDFApprox(f0_7: vec3<f32>, perceptual_roughness: f32, NoV_6: f32) -> vec3<f32> {
    var f0_8: vec3<f32>;
    var perceptual_roughness_1: f32;
    var NoV_7: f32;
    var c0_: vec4<f32>;
    var c1_: vec4<f32>;
    var r: vec4<f32>;
    var a004_: f32;
    var AB: vec2<f32>;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    f0_8 = f0_7;
    perceptual_roughness_1 = perceptual_roughness;
    NoV_7 = NoV_6;
    c0_ = vec4<f32>(-(1.0), -(0.027499999850988388), -(0.5720000267028809), 0.02199999988079071);
    c1_ = vec4<f32>(1.0, 0.042500000447034836, 1.0399999618530273, -(0.03999999910593033));
    let _e62 = perceptual_roughness_1;
    let _e64 = c0_;
    let _e66 = c1_;
    r = ((vec4<f32>(_e62) * _e64) + _e66);
    let _e69 = r;
    let _e71 = r;
    _ = (_e69.x * _e71.x);
    let _e76 = NoV_7;
    _ = (-(9.279999732971191) * _e76);
    let _e80 = NoV_7;
    _ = exp2((-(9.279999732971191) * _e80));
    let _e83 = r;
    let _e85 = r;
    let _e90 = NoV_7;
    _ = (-(9.279999732971191) * _e90);
    let _e94 = NoV_7;
    let _e98 = r;
    let _e101 = r;
    a004_ = ((min((_e83.x * _e85.x), exp2((-(9.279999732971191) * _e94))) * _e98.x) + _e101.y);
    let _e109 = a004_;
    let _e112 = r;
    AB = ((vec2<f32>(-(1.0399999618530273), 1.0399999618530273) * vec2<f32>(_e109)) + _e112.zw);
    let _e116 = f0_8;
    let _e117 = AB;
    let _e121 = AB;
    return ((_e116 * vec3<f32>(_e117.x)) + vec3<f32>(_e121.y));
}

fn perceptualRoughnessToRoughness(perceptualRoughness: f32) -> f32 {
    var perceptualRoughness_1: f32;
    var clampedPerceptualRoughness: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    perceptualRoughness_1 = perceptualRoughness;
    _ = perceptualRoughness_1;
    let _e45 = perceptualRoughness_1;
    clampedPerceptualRoughness = clamp(_e45, 0.08900000154972076, 1.0);
    let _e50 = clampedPerceptualRoughness;
    let _e51 = clampedPerceptualRoughness;
    return (_e50 * _e51);
}

fn reinhard(color: vec3<f32>) -> vec3<f32> {
    var color_1: vec3<f32>;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    color_1 = color;
    let _e42 = color_1;
    let _e45 = color_1;
    return (_e42 / (vec3<f32>(1.0) + _e45));
}

fn reinhard_extended(color_2: vec3<f32>, max_white: f32) -> vec3<f32> {
    var color_3: vec3<f32>;
    var max_white_1: f32;
    var numerator: vec3<f32>;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    color_3 = color_2;
    max_white_1 = max_white;
    let _e44 = color_3;
    let _e47 = color_3;
    let _e48 = max_white_1;
    let _e49 = max_white_1;
    numerator = (_e44 * (vec3<f32>(1.0) + (_e47 / vec3<f32>((_e48 * _e49)))));
    let _e56 = numerator;
    let _e59 = color_3;
    return (_e56 / (vec3<f32>(1.0) + _e59));
}

fn luminance(v_1: vec3<f32>) -> f32 {
    var v_2: vec3<f32>;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    v_2 = v_1;
    _ = v_2;
    _ = vec3<f32>(0.2125999927520752, 0.7152000069618225, 0.0722000002861023);
    let _e47 = v_2;
    return dot(_e47, vec3<f32>(0.2125999927520752, 0.7152000069618225, 0.0722000002861023));
}

fn change_luminance(c_in: vec3<f32>, l_out: f32) -> vec3<f32> {
    var c_in_1: vec3<f32>;
    var l_out_1: f32;
    var l_in: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    c_in_1 = c_in;
    l_out_1 = l_out;
    _ = c_in_1;
    let _e45 = c_in_1;
    let _e46 = luminance(_e45);
    l_in = _e46;
    let _e48 = c_in_1;
    let _e49 = l_out_1;
    let _e50 = l_in;
    return (_e48 * (_e49 / _e50));
}

fn reinhard_luminance(color_4: vec3<f32>) -> vec3<f32> {
    var color_5: vec3<f32>;
    var l_old: f32;
    var l_new: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    color_5 = color_4;
    _ = color_5;
    let _e43 = color_5;
    let _e44 = luminance(_e43);
    l_old = _e44;
    let _e46 = l_old;
    let _e48 = l_old;
    l_new = (_e46 / (1.0 + _e48));
    _ = color_5;
    _ = l_new;
    let _e54 = color_5;
    let _e55 = l_new;
    let _e56 = change_luminance(_e54, _e55);
    return _e56;
}

fn reinhard_extended_luminance(color_6: vec3<f32>, max_white_l: f32) -> vec3<f32> {
    var color_7: vec3<f32>;
    var max_white_l_1: f32;
    var l_old_1: f32;
    var numerator_1: f32;
    var l_new_1: f32;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    color_7 = color_6;
    max_white_l_1 = max_white_l;
    _ = color_7;
    let _e45 = color_7;
    let _e46 = luminance(_e45);
    l_old_1 = _e46;
    let _e48 = l_old_1;
    let _e50 = l_old_1;
    let _e51 = max_white_l_1;
    let _e52 = max_white_l_1;
    numerator_1 = (_e48 * (1.0 + (_e50 / (_e51 * _e52))));
    let _e58 = numerator_1;
    let _e60 = l_old_1;
    l_new_1 = (_e58 / (1.0 + _e60));
    _ = color_7;
    _ = l_new_1;
    let _e66 = color_7;
    let _e67 = l_new_1;
    let _e68 = change_luminance(_e66, _e67);
    return _e68;
}

fn point_light(light: PointLight, roughness_8: f32, NdotV: f32, N: vec3<f32>, V_1: vec3<f32>, R: vec3<f32>, F0_: vec3<f32>, diffuseColor: vec3<f32>) -> vec3<f32> {
    var light_1: PointLight;
    var roughness_9: f32;
    var NdotV_1: f32;
    var N_1: vec3<f32>;
    var V_2: vec3<f32>;
    var R_1: vec3<f32>;
    var F0_1: vec3<f32>;
    var diffuseColor_1: vec3<f32>;
    var light_to_frag: vec3<f32>;
    var distance_square: f32;
    var rangeAttenuation: f32;
    var a_1: f32;
    var radius: f32;
    var centerToRay: vec3<f32>;
    var closestPoint: vec3<f32>;
    var LspecLengthInverse: f32;
    var normalizationFactor: f32;
    var specularIntensity_2: f32;
    var L: vec3<f32>;
    var H: vec3<f32>;
    var NoL_6: f32;
    var NoH_4: f32;
    var LoH_6: f32;
    var specular_1: vec3<f32>;
    var diffuse: vec3<f32>;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    light_1 = light;
    roughness_9 = roughness_8;
    NdotV_1 = NdotV;
    N_1 = N;
    V_2 = V_1;
    R_1 = R;
    F0_1 = F0_;
    diffuseColor_1 = diffuseColor;
    let _e57 = light_1.pos;
    let _e59 = v_WorldPosition_1;
    light_to_frag = (_e57.xyz - _e59.xyz);
    _ = light_to_frag;
    _ = light_to_frag;
    let _e65 = light_to_frag;
    let _e66 = light_to_frag;
    distance_square = dot(_e65, _e66);
    _ = distance_square;
    let _e71 = light_1.lightParams;
    _ = _e71.x;
    let _e73 = distance_square;
    let _e75 = light_1.lightParams;
    let _e77 = getDistanceAttenuation(_e73, _e75.x);
    rangeAttenuation = _e77;
    let _e79 = roughness_9;
    a_1 = _e79;
    let _e82 = light_1.lightParams;
    radius = _e82.y;
    _ = light_to_frag;
    _ = R_1;
    let _e87 = light_to_frag;
    let _e88 = R_1;
    let _e90 = R_1;
    let _e92 = light_to_frag;
    centerToRay = ((dot(_e87, _e88) * _e90) - _e92);
    let _e95 = light_to_frag;
    let _e96 = centerToRay;
    let _e97 = radius;
    _ = centerToRay;
    _ = centerToRay;
    let _e100 = centerToRay;
    let _e101 = centerToRay;
    _ = dot(_e100, _e101);
    _ = centerToRay;
    _ = centerToRay;
    let _e105 = centerToRay;
    let _e106 = centerToRay;
    _ = (_e97 * inverseSqrt(dot(_e105, _e106)));
    let _e112 = radius;
    _ = centerToRay;
    _ = centerToRay;
    let _e115 = centerToRay;
    let _e116 = centerToRay;
    _ = dot(_e115, _e116);
    _ = centerToRay;
    _ = centerToRay;
    let _e120 = centerToRay;
    let _e121 = centerToRay;
    closestPoint = (_e95 + (_e96 * clamp((_e112 * inverseSqrt(dot(_e120, _e121))), 0.0, 1.0)));
    _ = closestPoint;
    _ = closestPoint;
    let _e133 = closestPoint;
    let _e134 = closestPoint;
    _ = dot(_e133, _e134);
    _ = closestPoint;
    _ = closestPoint;
    let _e138 = closestPoint;
    let _e139 = closestPoint;
    LspecLengthInverse = inverseSqrt(dot(_e138, _e139));
    let _e143 = a_1;
    let _e144 = a_1;
    let _e145 = radius;
    let _e148 = LspecLengthInverse;
    _ = (_e144 + ((_e145 * 0.5) * _e148));
    let _e153 = a_1;
    let _e154 = radius;
    let _e157 = LspecLengthInverse;
    normalizationFactor = (_e143 / clamp((_e153 + ((_e154 * 0.5) * _e157)), 0.0, 1.0));
    let _e165 = normalizationFactor;
    let _e166 = normalizationFactor;
    specularIntensity_2 = (_e165 * _e166);
    let _e169 = closestPoint;
    let _e170 = LspecLengthInverse;
    L = (_e169 * _e170);
    let _e173 = L;
    let _e174 = V_2;
    _ = (_e173 + _e174);
    let _e176 = L;
    let _e177 = V_2;
    H = normalize((_e176 + _e177));
    _ = N_1;
    _ = L;
    let _e183 = N_1;
    let _e184 = L;
    _ = dot(_e183, _e184);
    _ = N_1;
    _ = L;
    let _e190 = N_1;
    let _e191 = L;
    NoL_6 = clamp(dot(_e190, _e191), 0.0, 1.0);
    _ = N_1;
    _ = H;
    let _e199 = N_1;
    let _e200 = H;
    _ = dot(_e199, _e200);
    _ = N_1;
    _ = H;
    let _e206 = N_1;
    let _e207 = H;
    NoH_4 = clamp(dot(_e206, _e207), 0.0, 1.0);
    _ = L;
    _ = H;
    let _e215 = L;
    let _e216 = H;
    _ = dot(_e215, _e216);
    _ = L;
    _ = H;
    let _e222 = L;
    let _e223 = H;
    LoH_6 = clamp(dot(_e222, _e223), 0.0, 1.0);
    _ = F0_1;
    _ = roughness_9;
    _ = H;
    _ = NdotV_1;
    _ = NoL_6;
    _ = NoH_4;
    _ = LoH_6;
    _ = specularIntensity_2;
    let _e237 = F0_1;
    let _e238 = roughness_9;
    let _e239 = H;
    let _e240 = NdotV_1;
    let _e241 = NoL_6;
    let _e242 = NoH_4;
    let _e243 = LoH_6;
    let _e244 = specularIntensity_2;
    let _e245 = specular(_e237, _e238, _e239, _e240, _e241, _e242, _e243, _e244);
    specular_1 = _e245;
    _ = light_to_frag;
    let _e248 = light_to_frag;
    L = normalize(_e248);
    let _e250 = L;
    let _e251 = V_2;
    _ = (_e250 + _e251);
    let _e253 = L;
    let _e254 = V_2;
    H = normalize((_e253 + _e254));
    _ = N_1;
    _ = L;
    let _e259 = N_1;
    let _e260 = L;
    _ = dot(_e259, _e260);
    _ = N_1;
    _ = L;
    let _e266 = N_1;
    let _e267 = L;
    NoL_6 = clamp(dot(_e266, _e267), 0.0, 1.0);
    _ = N_1;
    _ = H;
    let _e274 = N_1;
    let _e275 = H;
    _ = dot(_e274, _e275);
    _ = N_1;
    _ = H;
    let _e281 = N_1;
    let _e282 = H;
    NoH_4 = clamp(dot(_e281, _e282), 0.0, 1.0);
    _ = L;
    _ = H;
    let _e289 = L;
    let _e290 = H;
    _ = dot(_e289, _e290);
    _ = L;
    _ = H;
    let _e296 = L;
    let _e297 = H;
    LoH_6 = clamp(dot(_e296, _e297), 0.0, 1.0);
    let _e302 = diffuseColor_1;
    _ = roughness_9;
    _ = NdotV_1;
    _ = NoL_6;
    _ = LoH_6;
    let _e307 = roughness_9;
    let _e308 = NdotV_1;
    let _e309 = NoL_6;
    let _e310 = LoH_6;
    let _e311 = Fd_Burley(_e307, _e308, _e309, _e310);
    diffuse = (_e302 * _e311);
    let _e314 = diffuse;
    let _e315 = specular_1;
    let _e318 = light_1.color;
    let _e321 = rangeAttenuation;
    let _e322 = NoL_6;
    return (((_e314 + _e315) * _e318.xyz) * (_e321 * _e322));
}

fn dir_light(light_2: DirectionalLight, roughness_10: f32, NdotV_2: f32, normal: vec3<f32>, view: vec3<f32>, R_2: vec3<f32>, F0_2: vec3<f32>, diffuseColor_2: vec3<f32>) -> vec3<f32> {
    var light_3: DirectionalLight;
    var roughness_11: f32;
    var NdotV_3: f32;
    var normal_1: vec3<f32>;
    var view_1: vec3<f32>;
    var R_3: vec3<f32>;
    var F0_3: vec3<f32>;
    var diffuseColor_3: vec3<f32>;
    var incident_light: vec3<f32>;
    var half_vector: vec3<f32>;
    var NoL_7: f32;
    var NoH_5: f32;
    var LoH_7: f32;
    var diffuse_1: vec3<f32>;
    var specularIntensity_3: f32;
    var specular_2: vec3<f32>;

    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    light_3 = light_2;
    roughness_11 = roughness_10;
    NdotV_3 = NdotV_2;
    normal_1 = normal;
    view_1 = view;
    R_3 = R_2;
    F0_3 = F0_2;
    diffuseColor_3 = diffuseColor_2;
    let _e57 = light_3.direction;
    incident_light = _e57.xyz;
    let _e60 = incident_light;
    let _e61 = view_1;
    _ = (_e60 + _e61);
    let _e63 = incident_light;
    let _e64 = view_1;
    half_vector = normalize((_e63 + _e64));
    _ = normal_1;
    _ = incident_light;
    let _e70 = normal_1;
    let _e71 = incident_light;
    _ = dot(_e70, _e71);
    _ = normal_1;
    _ = incident_light;
    let _e77 = normal_1;
    let _e78 = incident_light;
    NoL_7 = clamp(dot(_e77, _e78), 0.0, 1.0);
    _ = normal_1;
    _ = half_vector;
    let _e86 = normal_1;
    let _e87 = half_vector;
    _ = dot(_e86, _e87);
    _ = normal_1;
    _ = half_vector;
    let _e93 = normal_1;
    let _e94 = half_vector;
    NoH_5 = clamp(dot(_e93, _e94), 0.0, 1.0);
    _ = incident_light;
    _ = half_vector;
    let _e102 = incident_light;
    let _e103 = half_vector;
    _ = dot(_e102, _e103);
    _ = incident_light;
    _ = half_vector;
    let _e109 = incident_light;
    let _e110 = half_vector;
    LoH_7 = clamp(dot(_e109, _e110), 0.0, 1.0);
    let _e116 = diffuseColor_3;
    _ = roughness_11;
    _ = NdotV_3;
    _ = NoL_7;
    _ = LoH_7;
    let _e121 = roughness_11;
    let _e122 = NdotV_3;
    let _e123 = NoL_7;
    let _e124 = LoH_7;
    let _e125 = Fd_Burley(_e121, _e122, _e123, _e124);
    diffuse_1 = (_e116 * _e125);
    specularIntensity_3 = 1.0;
    _ = F0_3;
    _ = roughness_11;
    _ = half_vector;
    _ = NdotV_3;
    _ = NoL_7;
    _ = NoH_5;
    _ = LoH_7;
    _ = specularIntensity_3;
    let _e138 = F0_3;
    let _e139 = roughness_11;
    let _e140 = half_vector;
    let _e141 = NdotV_3;
    let _e142 = NoL_7;
    let _e143 = NoH_5;
    let _e144 = LoH_7;
    let _e145 = specularIntensity_3;
    let _e146 = specular(_e138, _e139, _e140, _e141, _e142, _e143, _e144, _e145);
    specular_2 = _e146;
    let _e148 = specular_2;
    let _e149 = diffuse_1;
    let _e152 = light_3.color;
    let _e155 = NoL_7;
    return (((_e148 + _e149) * _e152.xyz) * _e155);
}

fn main_1() {
    var output_color: vec4<f32>;
    var metallic_roughness: vec4<f32>;
    var metallic: f32;
    var perceptual_roughness_2: f32;
    var roughness_12: f32;
    var N_2: vec3<f32>;
    var T: vec3<f32>;
    var B: vec3<f32>;
    var local: vec3<f32>;
    var local_1: vec3<f32>;
    var local_2: vec3<f32>;
    var TBN: mat3x3<f32>;
    var occlusion: f32;
    var emissive: vec4<f32>;
    var V_3: vec3<f32>;
    var NdotV_4: f32;
    var F0_4: vec3<f32>;
    var diffuseColor_4: vec3<f32>;
    var R_4: vec3<f32>;
    var light_accum: vec3<f32>;
    var i: i32;
    var i_1: i32;
    var diffuse_ambient: vec3<f32>;
    var specular_ambient: vec3<f32>;

    _ = (&global.ViewProj);
    let _e40 = global_3.base_color;
    output_color = _e40;
    let _e42 = output_color;
    _ = v_Uv_1;
    let _e44 = v_Uv_1;
    let _e45 = textureSample(StandardMaterial_base_color_texture, StandardMaterial_base_color_texture_sampler, _e44);
    output_color = (_e42 * _e45);
    _ = v_Uv_1;
    let _e48 = v_Uv_1;
    let _e49 = textureSample(StandardMaterial_metallic_roughness_texture, StandardMaterial_metallic_roughness_texture_sampler, _e48);
    metallic_roughness = _e49;
    let _e51 = global_5.metallic;
    let _e52 = metallic_roughness;
    metallic = (_e51 * _e52.z);
    let _e56 = global_4.perceptual_roughness;
    let _e57 = metallic_roughness;
    perceptual_roughness_2 = (_e56 * _e57.y);
    _ = perceptual_roughness_2;
    let _e62 = perceptual_roughness_2;
    let _e63 = perceptualRoughnessToRoughness(_e62);
    roughness_12 = _e63;
    _ = v_WorldNormal_1;
    let _e66 = v_WorldNormal_1;
    N_2 = normalize(_e66);
    let _e69 = v_WorldTangent_1;
    _ = _e69.xyz;
    let _e71 = v_WorldTangent_1;
    T = normalize(_e71.xyz);
    _ = N_2;
    _ = T;
    let _e77 = N_2;
    let _e78 = T;
    let _e80 = v_WorldTangent_1;
    B = (cross(_e77, _e78) * _e80.w);
    let _e85 = gl_FrontFacing;
    if _e85 {
        let _e86 = N_2;
        local = _e86;
    } else {
        let _e87 = N_2;
        local = -(_e87);
    }
    let _e90 = local;
    N_2 = _e90;
    let _e91 = gl_FrontFacing;
    if _e91 {
        let _e92 = T;
        local_1 = _e92;
    } else {
        let _e93 = T;
        local_1 = -(_e93);
    }
    let _e96 = local_1;
    T = _e96;
    let _e97 = gl_FrontFacing;
    if _e97 {
        let _e98 = B;
        local_2 = _e98;
    } else {
        let _e99 = B;
        local_2 = -(_e99);
    }
    let _e102 = local_2;
    B = _e102;
    let _e103 = T;
    let _e104 = B;
    let _e105 = N_2;
    TBN = mat3x3<f32>(vec3<f32>(_e103.x, _e103.y, _e103.z), vec3<f32>(_e104.x, _e104.y, _e104.z), vec3<f32>(_e105.x, _e105.y, _e105.z));
    let _e120 = TBN;
    _ = v_Uv_1;
    let _e122 = v_Uv_1;
    let _e123 = textureSample(StandardMaterial_normal_map, StandardMaterial_normal_map_sampler, _e122);
    _ = ((_e123.xyz * 2.0) - vec3<f32>(1.0));
    _ = v_Uv_1;
    let _e131 = v_Uv_1;
    let _e132 = textureSample(StandardMaterial_normal_map, StandardMaterial_normal_map_sampler, _e131);
    N_2 = (_e120 * normalize(((_e132.xyz * 2.0) - vec3<f32>(1.0))));
    _ = v_Uv_1;
    let _e142 = v_Uv_1;
    let _e143 = textureSample(StandardMaterial_occlusion_texture, StandardMaterial_occlusion_texture_sampler, _e142);
    occlusion = _e143.x;
    let _e146 = global_7.emissive;
    emissive = _e146;
    let _e148 = emissive;
    _ = _e148.xyz;
    let _e150 = emissive;
    _ = v_Uv_1;
    let _e153 = v_Uv_1;
    let _e154 = textureSample(StandardMaterial_emissive_texture, StandardMaterial_emissive_texture_sampler, _e153);
    let _e156 = (_e150.xyz * _e154.xyz);
    emissive.x = _e156.x;
    emissive.y = _e156.y;
    emissive.z = _e156.z;
    let _e163 = global_1.CameraPos;
    let _e165 = v_WorldPosition_1;
    _ = (_e163.xyz - _e165.xyz);
    let _e168 = global_1.CameraPos;
    let _e170 = v_WorldPosition_1;
    V_3 = normalize((_e168.xyz - _e170.xyz));
    _ = N_2;
    _ = V_3;
    let _e177 = N_2;
    let _e178 = V_3;
    _ = dot(_e177, _e178);
    _ = N_2;
    _ = V_3;
    let _e183 = N_2;
    let _e184 = V_3;
    NdotV_4 = max(dot(_e183, _e184), 0.0010000000474974513);
    let _e190 = global_6.reflectance;
    let _e192 = global_6.reflectance;
    let _e195 = metallic;
    let _e199 = output_color;
    let _e201 = metallic;
    F0_4 = (vec3<f32>((((0.1599999964237213 * _e190) * _e192) * (1.0 - _e195))) + (_e199.xyz * vec3<f32>(_e201)));
    let _e206 = output_color;
    let _e209 = metallic;
    diffuseColor_4 = (_e206.xyz * vec3<f32>((1.0 - _e209)));
    let _e214 = V_3;
    _ = -(_e214);
    _ = N_2;
    let _e217 = V_3;
    let _e219 = N_2;
    R_4 = reflect(-(_e217), _e219);
    light_accum = vec3<f32>(0.0);
    i = 0;
    loop {
        let _e227 = i;
        let _e228 = global_2.NumLights;
        let _e232 = i;
        if !(((_e227 < i32(_e228.x)) && (_e232 < 10))) {
            break;
        }
        {
            let _e239 = light_accum;
            let _e240 = i;
            _ = global_2.PointLights[_e240];
            _ = roughness_12;
            _ = NdotV_4;
            _ = N_2;
            _ = V_3;
            _ = R_4;
            _ = F0_4;
            _ = diffuseColor_4;
            let _e250 = i;
            let _e252 = global_2.PointLights[_e250];
            let _e253 = roughness_12;
            let _e254 = NdotV_4;
            let _e255 = N_2;
            let _e256 = V_3;
            let _e257 = R_4;
            let _e258 = F0_4;
            let _e259 = diffuseColor_4;
            let _e260 = point_light(_e252, _e253, _e254, _e255, _e256, _e257, _e258, _e259);
            light_accum = (_e239 + _e260);
        }
        continuing {
            let _e236 = i;
            i = (_e236 + 1);
        }
    }
    i_1 = 0;
    loop {
        let _e264 = i_1;
        let _e265 = global_2.NumLights;
        let _e269 = i_1;
        if !(((_e264 < i32(_e265.y)) && (_e269 < 1))) {
            break;
        }
        {
            let _e276 = light_accum;
            let _e277 = i_1;
            _ = global_2.DirectionalLights[_e277];
            _ = roughness_12;
            _ = NdotV_4;
            _ = N_2;
            _ = V_3;
            _ = R_4;
            _ = F0_4;
            _ = diffuseColor_4;
            let _e287 = i_1;
            let _e289 = global_2.DirectionalLights[_e287];
            let _e290 = roughness_12;
            let _e291 = NdotV_4;
            let _e292 = N_2;
            let _e293 = V_3;
            let _e294 = R_4;
            let _e295 = F0_4;
            let _e296 = diffuseColor_4;
            let _e297 = dir_light(_e289, _e290, _e291, _e292, _e293, _e294, _e295, _e296);
            light_accum = (_e276 + _e297);
        }
        continuing {
            let _e273 = i_1;
            i_1 = (_e273 + 1);
        }
    }
    _ = diffuseColor_4;
    _ = NdotV_4;
    let _e302 = diffuseColor_4;
    let _e304 = NdotV_4;
    let _e305 = EnvBRDFApprox(_e302, 1.0, _e304);
    diffuse_ambient = _e305;
    _ = F0_4;
    _ = perceptual_roughness_2;
    _ = NdotV_4;
    let _e310 = F0_4;
    let _e311 = perceptual_roughness_2;
    let _e312 = NdotV_4;
    let _e313 = EnvBRDFApprox(_e310, _e311, _e312);
    specular_ambient = _e313;
    let _e315 = output_color;
    _ = _e315.xyz;
    let _e317 = light_accum;
    output_color.x = _e317.x;
    output_color.y = _e317.y;
    output_color.z = _e317.z;
    let _e324 = output_color;
    _ = _e324.xyz;
    let _e326 = output_color;
    let _e328 = diffuse_ambient;
    let _e329 = specular_ambient;
    let _e331 = global_2.AmbientColor;
    let _e334 = occlusion;
    let _e336 = (_e326.xyz + (((_e328 + _e329) * _e331.xyz) * _e334));
    output_color.x = _e336.x;
    output_color.y = _e336.y;
    output_color.z = _e336.z;
    let _e343 = output_color;
    _ = _e343.xyz;
    let _e345 = output_color;
    let _e347 = emissive;
    let _e349 = output_color;
    let _e352 = (_e345.xyz + (_e347.xyz * _e349.w));
    output_color.x = _e352.x;
    output_color.y = _e352.y;
    output_color.z = _e352.z;
    let _e359 = output_color;
    _ = _e359.xyz;
    let _e361 = output_color;
    _ = _e361.xyz;
    let _e363 = output_color;
    let _e365 = reinhard_luminance(_e363.xyz);
    output_color.x = _e365.x;
    output_color.y = _e365.y;
    output_color.z = _e365.z;
    let _e372 = output_color;
    o_Target = _e372;
    return;
}

@fragment 
fn main(@location(0) v_WorldPosition: vec3<f32>, @location(1) v_WorldNormal: vec3<f32>, @location(2) v_Uv: vec2<f32>, @location(3) v_WorldTangent: vec4<f32>, @builtin(front_facing) param: bool) -> FragmentOutput {
    v_WorldPosition_1 = v_WorldPosition;
    v_WorldNormal_1 = v_WorldNormal;
    v_Uv_1 = v_Uv;
    v_WorldTangent_1 = v_WorldTangent;
    gl_FrontFacing = param;
    _ = (&global.ViewProj);
    _ = (&global_1.CameraPos);
    _ = (&global_2.AmbientColor);
    _ = (&global_2.NumLights);
    _ = (&global_2.PointLights);
    _ = (&global_2.DirectionalLights);
    _ = (&global_3.base_color);
    _ = (&global_4.perceptual_roughness);
    _ = (&global_5.metallic);
    _ = (&global_6.reflectance);
    _ = (&global_7.emissive);
    main_1();
    let _e72 = o_Target;
    return FragmentOutput(_e72);
}


================================================
FILE: lib/naga/tests/out/wgsl/bevy-pbr-vert.wgsl
================================================
struct CameraViewProj {
    ViewProj: mat4x4<f32>,
}

struct Transform {
    Model: mat4x4<f32>,
}

struct VertexOutput {
    @location(0) v_WorldPosition: vec3<f32>,
    @location(1) v_WorldNormal: vec3<f32>,
    @location(2) v_Uv: vec2<f32>,
    @location(3) v_WorldTangent: vec4<f32>,
    @builtin(position) member: vec4<f32>,
}

var<private> Vertex_Position_1: vec3<f32>;
var<private> Vertex_Normal_1: vec3<f32>;
var<private> Vertex_Uv_1: vec2<f32>;
var<private> Vertex_Tangent_1: vec4<f32>;
var<private> v_WorldPosition: vec3<f32>;
var<private> v_WorldNormal: vec3<f32>;
var<private> v_Uv: vec2<f32>;
@group(0) @binding(0) 
var<uniform> global: CameraViewProj;
var<private> v_WorldTangent: vec4<f32>;
@group(2) @binding(0) 
var<uniform> global_1: Transform;
var<private> gl_Position: vec4<f32>;

fn main_1() {
    var world_position: vec4<f32>;

    let _e12 = global_1.Model;
    let _e13 = Vertex_Position_1;
    world_position = (_e12 * vec4<f32>(_e13.x, _e13.y, _e13.z, 1.0));
    let _e21 = world_position;
    v_WorldPosition = _e21.xyz;
    let _e23 = global_1.Model;
    let _e33 = Vertex_Normal_1;
    v_WorldNormal = (mat3x3<f32>(_e23[0].xyz, _e23[1].xyz, _e23[2].xyz) * _e33);
    let _e35 = Vertex_Uv_1;
    v_Uv = _e35;
    let _e36 = global_1.Model;
    let _e46 = Vertex_Tangent_1;
    let _e48 = (mat3x3<f32>(_e36[0].xyz, _e36[1].xyz, _e36[2].xyz) * _e46.xyz);
    let _e49 = Vertex_Tangent_1;
    v_WorldTangent = vec4<f32>(_e48.x, _e48.y, _e48.z, _e49.w);
    let _e56 = global.ViewProj;
    let _e57 = world_position;
    gl_Position = (_e56 * _e57);
    return;
}

@vertex 
fn main(@location(0) Vertex_Position: vec3<f32>, @location(1) Vertex_Normal: vec3<f32>, @location(2) Vertex_Uv: vec2<f32>, @location(3) Vertex_Tangent: vec4<f32>) -> VertexOutput {
    Vertex_Position_1 = Vertex_Position;
    Vertex_Normal_1 = Vertex_Normal;
    Vertex_Uv_1 = Vertex_Uv;
    Vertex_Tangent_1 = Vertex_Tangent;
    _ = (&global.ViewProj);
    main_1();
    let _e29 = v_WorldPosition;
    let _e31 = v_WorldNormal;
    let _e33 = v_Uv;
    let _e35 = v_WorldTangent;
    let _e37 = gl_Position;
    return VertexOutput(_e29, _e31, _e33, _e35, _e37);
}


================================================
FILE: lib/naga/tests/out/wgsl/binding-arrays.wgsl
================================================
struct UniformIndex {
    index: u32,
}

struct FragmentIn {
    @location(0) index: u32,
}

@group(0) @binding(0) 
var texture_array_unbounded: binding_array<texture_2d<f32>>;
@group(0) @binding(1) 
var texture_array_bounded: binding_array<texture_2d<f32>,5>;
@group(0) @binding(2) 
var texture_array_2darray: binding_array<texture_2d_array<f32>,5>;
@group(0) @binding(3) 
var texture_array_multisampled: binding_array<texture_multisampled_2d<f32>,5>;
@group(0) @binding(4) 
var texture_array_depth: binding_array<texture_depth_2d,5>;
@group(0) @binding(5) 
var texture_array_storage: binding_array<texture_storage_2d<rgba32float,write>,5>;
@group(0) @binding(6) 
var samp: binding_array<sampler,5>;
@group(0) @binding(7) 
var samp_comp: binding_array<sampler_comparison,5>;
@group(0) @binding(8) 
var<uniform> uni: UniformIndex;

@fragment 
fn main(fragment_in: FragmentIn) -> @location(0) vec4<f32> {
    var i1_: i32 = 0;
    var i2_: vec2<i32>;
    var v1_: f32 = 0.0;
    var v4_: vec4<f32>;

    let uniform_index = uni.index;
    let non_uniform_index = fragment_in.index;
    i2_ = vec2<i32>(0);
    v4_ = vec4<f32>(0.0);
    let uv = vec2<f32>(0.0);
    let pix = vec2<i32>(0);
    let _e27 = i2_;
    let _e30 = textureDimensions(texture_array_unbounded[0]);
    i2_ = (_e27 + _e30);
    let _e32 = i2_;
    let _e34 = textureDimensions(texture_array_unbounded[uniform_index]);
    i2_ = (_e32 + _e34);
    let _e36 = i2_;
    let _e38 = textureDimensions(texture_array_unbounded[non_uniform_index]);
    i2_ = (_e36 + _e38);
    let _e40 = v4_;
    let _e45 = textureGather(0, texture_array_bounded[0], samp[0], uv);
    v4_ = (_e40 + _e45);
    let _e47 = v4_;
    let _e50 = textureGather(0, texture_array_bounded[uniform_index], samp[uniform_index], uv);
    v4_ = (_e47 + _e50);
    let _e52 = v4_;
    let _e55 = textureGather(0, texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv);
    v4_ = (_e52 + _e55);
    let _e57 = v4_;
    let _e63 = textureGatherCompare(texture_array_depth[0], samp_comp[0], uv, 0.0);
    v4_ = (_e57 + _e63);
    let _e65 = v4_;
    let _e69 = textureGatherCompare(texture_array_depth[uniform_index], samp_comp[uniform_index], uv, 0.0);
    v4_ = (_e65 + _e69);
    let _e71 = v4_;
    let _e75 = textureGatherCompare(texture_array_depth[non_uniform_index], samp_comp[non_uniform_index], uv, 0.0);
    v4_ = (_e71 + _e75);
    let _e77 = v4_;
    let _e81 = textureLoad(texture_array_unbounded[0], pix, 0);
    v4_ = (_e77 + _e81);
    let _e83 = v4_;
    let _e86 = textureLoad(texture_array_unbounded[uniform_index], pix, 0);
    v4_ = (_e83 + _e86);
    let _e88 = v4_;
    let _e91 = textureLoad(texture_array_unbounded[non_uniform_index], pix, 0);
    v4_ = (_e88 + _e91);
    let _e93 = i1_;
    let _e96 = textureNumLayers(texture_array_2darray[0]);
    i1_ = (_e93 + _e96);
    let _e98 = i1_;
    let _e100 = textureNumLayers(texture_array_2darray[uniform_index]);
    i1_ = (_e98 + _e100);
    let _e102 = i1_;
    let _e104 = textureNumLayers(texture_array_2darray[non_uniform_index]);
    i1_ = (_e102 + _e104);
    let _e106 = i1_;
    let _e109 = textureNumLevels(texture_array_bounded[0]);
    i1_ = (_e106 + _e109);
    let _e111 = i1_;
    let _e113 = textureNumLevels(texture_array_bounded[uniform_index]);
    i1_ = (_e111 + _e113);
    let _e115 = i1_;
    let _e117 = textureNumLevels(texture_array_bounded[non_uniform_index]);
    i1_ = (_e115 + _e117);
    let _e119 = i1_;
    let _e122 = textureNumSamples(texture_array_multisampled[0]);
    i1_ = (_e119 + _e122);
    let _e124 = i1_;
    let _e126 = textureNumSamples(texture_array_multisampled[uniform_index]);
    i1_ = (_e124 + _e126);
    let _e128 = i1_;
    let _e130 = textureNumSamples(texture_array_multisampled[non_uniform_index]);
    i1_ = (_e128 + _e130);
    let _e132 = v4_;
    let _e137 = textureSample(texture_array_bounded[0], samp[0], uv);
    v4_ = (_e132 + _e137);
    let _e139 = v4_;
    let _e142 = textureSample(texture_array_bounded[uniform_index], samp[uniform_index], uv);
    v4_ = (_e139 + _e142);
    let _e144 = v4_;
    let _e147 = textureSample(texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv);
    v4_ = (_e144 + _e147);
    let _e149 = v4_;
    let _e155 = textureSampleBias(texture_array_bounded[0], samp[0], uv, 0.0);
    v4_ = (_e149 + _e155);
    let _e157 = v4_;
    let _e161 = textureSampleBias(texture_array_bounded[uniform_index], samp[uniform_index], uv, 0.0);
    v4_ = (_e157 + _e161);
    let _e163 = v4_;
    let _e167 = textureSampleBias(texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv, 0.0);
    v4_ = (_e163 + _e167);
    let _e169 = v1_;
    let _e175 = textureSampleCompare(texture_array_depth[0], samp_comp[0], uv, 0.0);
    v1_ = (_e169 + _e175);
    let _e177 = v1_;
    let _e181 = textureSampleCompare(texture_array_depth[uniform_index], samp_comp[uniform_index], uv, 0.0);
    v1_ = (_e177 + _e181);
    let _e183 = v1_;
    let _e187 = textureSampleCompare(texture_array_depth[non_uniform_index], samp_comp[non_uniform_index], uv, 0.0);
    v1_ = (_e183 + _e187);
    let _e189 = v1_;
    let _e195 = textureSampleCompareLevel(texture_array_depth[0], samp_comp[0], uv, 0.0);
    v1_ = (_e189 + _e195);
    let _e197 = v1_;
    let _e201 = textureSampleCompareLevel(texture_array_depth[uniform_index], samp_comp[uniform_index], uv, 0.0);
    v1_ = (_e197 + _e201);
    let _e203 = v1_;
    let _e207 = textureSampleCompareLevel(texture_array_depth[non_uniform_index], samp_comp[non_uniform_index], uv, 0.0);
    v1_ = (_e203 + _e207);
    let _e209 = v4_;
    let _e214 = textureSampleGrad(texture_array_bounded[0], samp[0], uv, uv, uv);
    v4_ = (_e209 + _e214);
    let _e216 = v4_;
    let _e219 = textureSampleGrad(texture_array_bounded[uniform_index], samp[uniform_index], uv, uv, uv);
    v4_ = (_e216 + _e219);
    let _e221 = v4_;
    let _e224 = textureSampleGrad(texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv, uv, uv);
    v4_ = (_e221 + _e224);
    let _e226 = v4_;
    let _e232 = textureSampleLevel(texture_array_bounded[0], samp[0], uv, 0.0);
    v4_ = (_e226 + _e232);
    let _e234 = v4_;
    let _e238 = textureSampleLevel(texture_array_bounded[uniform_index], samp[uniform_index], uv, 0.0);
    v4_ = (_e234 + _e238);
    let _e240 = v4_;
    let _e244 = textureSampleLevel(texture_array_bounded[non_uniform_index], samp[non_uniform_index], uv, 0.0);
    v4_ = (_e240 + _e244);
    let _e248 = v4_;
    textureStore(texture_array_storage[0], pix, _e248);
    let _e250 = v4_;
    textureStore(texture_array_storage[uniform_index], pix, _e250);
    let _e252 = v4_;
    textureStore(texture_array_storage[non_uniform_index], pix, _e252);
    let _e253 = i2_;
    let _e254 = i1_;
    let v2_ = vec2<f32>((_e253 + vec2<i32>(_e254)));
    let _e258 = v4_;
    let _e265 = v1_;
    return ((_e258 + vec4<f32>(v2_.x, v2_.y, v2_.x, v2_.y)) + vec4<f32>(_e265));
}


================================================
FILE: lib/naga/tests/out/wgsl/binop-frag.wgsl
================================================
var<private> o_color: vec4<f32>;

fn testBinOpVecFloat(a: vec4<f32>, b: f32) {
    var a1: vec4<f32>;
    var b1: f32;
    var v: vec4<f32>;

    a1 = a;
    b1 = b;
    let e5: vec4<f32> = a1;
    v = (e5 * 2.0);
    let e8: vec4<f32> = a1;
    v = (e8 / vec4<f32>(2.0));
    let e12: vec4<f32> = a1;
    v = (e12 + vec4<f32>(2.0));
    let e16: vec4<f32> = a1;
    v = (e16 - vec4<f32>(2.0));
    return;
}

fn testBinOpFloatVec(a2: vec4<f32>, b2: f32) {
    var a3: vec4<f32>;
    var b3: f32;
    var v1: vec4<f32>;

    a3 = a2;
    b3 = b2;
    let e5: vec4<f32> = a3;
    let e6: f32 = b3;
    v1 = (e5 * e6);
    let e8: vec4<f32> = a3;
    let e9: f32 = b3;
    v1 = (e8 / vec4<f32>(e9));
    let e12: vec4<f32> = a3;
    let e13: f32 = b3;
    v1 = (e12 + vec4<f32>(e13));
    let e16: vec4<f32> = a3;
    let e17: f32 = b3;
    v1 = (e16 - vec4<f32>(e17));
    return;
}

fn testBinOpIVecInt(a4: vec4<i32>, b4: i32) {
    var a5: vec4<i32>;
    var b5: i32;
    var v2: vec4<i32>;

    a5 = a4;
    b5 = b4;
    let e5: vec4<i32> = a5;
    let e6: i32 = b5;
    v2 = (e5 * e6);
    let e8: vec4<i32> = a5;
    let e9: i32 = b5;
    v2 = (e8 / vec4<i32>(e9));
    let e12: vec4<i32> = a5;
    let e13: i32 = b5;
    v2 = (e12 + vec4<i32>(e13));
    let e16: vec4<i32> = a5;
    let e17: i32 = b5;
    v2 = (e16 - vec4<i32>(e17));
    let e20: vec4<i32> = a5;
    let e21: i32 = b5;
    v2 = (e20 & vec4<i32>(e21));
    let e24: vec4<i32> = a5;
    let e25: i32 = b5;
    v2 = (e24 | vec4<i32>(e25));
    let e28: vec4<i32> = a5;
    let e29: i32 = b5;
    v2 = (e28 ^ vec4<i32>(e29));
    let e32: vec4<i32> = a5;
    let e33: i32 = b5;
    v2 = (e32 >> vec4<u32>(u32(e33)));
    let e37: vec4<i32> = a5;
    let e38: i32 = b5;
    v2 = (e37 << vec4<u32>(u32(e38)));
    return;
}

fn testBinOpIntIVec(a6: i32, b6: vec4<i32>) {
    var a7: i32;
    var b7: vec4<i32>;
    var v3: vec4<i32>;

    a7 = a6;
    b7 = b6;
    let e5: i32 = a7;
    let e6: vec4<i32> = b7;
    v3 = (e5 * e6);
    let e8: i32 = a7;
    let e9: vec4<i32> = b7;
    v3 = (vec4<i32>(e8) + e9);
    let e12: i32 = a7;
    let e13: vec4<i32> = b7;
    v3 = (vec4<i32>(e12) - e13);
    let e16: i32 = a7;
    let e17: vec4<i32> = b7;
    v3 = (vec4<i32>(e16) & e17);
    let e20: i32 = a7;
    let e21: vec4<i32> = b7;
    v3 = (vec4<i32>(e20) | e21);
    let e24: i32 = a7;
    let e25: vec4<i32> = b7;
    v3 = (vec4<i32>(e24) ^ e25);
    return;
}

fn testBinOpUVecUint(a8: vec4<u32>, b8: u32) {
    var a9: vec4<u32>;
    var b9: u32;
    var v4: vec4<u32>;

    a9 = a8;
    b9 = b8;
    let e5: vec4<u32> = a9;
    let e6: u32 = b9;
    v4 = (e5 * e6);
    let e8: vec4<u32> = a9;
    let e9: u32 = b9;
    v4 = (e8 / vec4<u32>(e9));
    let e12: vec4<u32> = a9;
    let e13: u32 = b9;
    v4 = (e12 + vec4<u32>(e13));
    let e16: vec4<u32> = a9;
    let e17: u32 = b9;
    v4 = (e16 - vec4<u32>(e17));
    let e20: vec4<u32> = a9;
    let e21: u32 = b9;
    v4 = (e20 & vec4<u32>(e21));
    let e24: vec4<u32> = a9;
    let e25: u32 = b9;
    v4 = (e24 | vec4<u32>(e25));
    let e28: vec4<u32> = a9;
    let e29: u32 = b9;
    v4 = (e28 ^ vec4<u32>(e29));
    let e32: vec4<u32> = a9;
    let e33: u32 = b9;
    v4 = (e32 >> vec4<u32>(e33));
    let e36: vec4<u32> = a9;
    let e37: u32 = b9;
    v4 = (e36 << vec4<u32>(e37));
    return;
}

fn testBinOpUintUVec(a10: u32, b10: vec4<u32>) {
    var a11: u32;
    var b11: vec4<u32>;
    var v5: vec4<u32>;

    a11 = a10;
    b11 = b10;
    let e5: u32 = a11;
    let e6: vec4<u32> = b11;
    v5 = (e5 * e6);
    let e8: u32 = a11;
    let e9: vec4<u32> = b11;
    v5 = (vec4<u32>(e8) + e9);
    let e12: u32 = a11;
    let e13: vec4<u32> = b11;
    v5 = (vec4<u32>(e12) - e13);
    let e16: u32 = a11;
    let e17: vec4<u32> = b11;
    v5 = (vec4<u32>(e16) & e17);
    let e20: u32 = a11;
    let e21: vec4<u32> = b11;
    v5 = (vec4<u32>(e20) | e21);
    let e24: u32 = a11;
    let e25: vec4<u32> = b11;
    v5 = (vec4<u32>(e24) ^ e25);
    return;
}

fn main1() {
    let e1: vec4<f32> = o_color;
    let e4: vec4<f32> = vec4<f32>(1.0);
    o_color.x = e4.x;
    o_color.y = e4.y;
    o_color.z = e4.z;
    o_color.w = e4.w;
    return;
}

@fragment
fn main() {
    main1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/bitcast.wgsl
================================================
@compute @workgroup_size(1, 1, 1) 
fn main() {
    var i2_: vec2<i32>;
    var i3_: vec3<i32>;
    var i4_: vec4<i32>;
    var u2_: vec2<u32>;
    var u3_: vec3<u32>;
    var u4_: vec4<u32>;
    var f2_: vec2<f32>;
    var f3_: vec3<f32>;
    var f4_: vec4<f32>;

    i2_ = vec2<i32>(0);
    i3_ = vec3<i32>(0);
    i4_ = vec4<i32>(0);
    u2_ = vec2<u32>(0u);
    u3_ = vec3<u32>(0u);
    u4_ = vec4<u32>(0u);
    f2_ = vec2<f32>(0.0);
    f3_ = vec3<f32>(0.0);
    f4_ = vec4<f32>(0.0);
    let _e27 = i2_;
    u2_ = bitcast<vec2<u32>>(_e27);
    let _e29 = i3_;
    u3_ = bitcast<vec3<u32>>(_e29);
    let _e31 = i4_;
    u4_ = bitcast<vec4<u32>>(_e31);
    let _e33 = u2_;
    i2_ = bitcast<vec2<i32>>(_e33);
    let _e35 = u3_;
    i3_ = bitcast<vec3<i32>>(_e35);
    let _e37 = u4_;
    i4_ = bitcast<vec4<i32>>(_e37);
    let _e39 = i2_;
    f2_ = bitcast<vec2<f32>>(_e39);
    let _e41 = i3_;
    f3_ = bitcast<vec3<f32>>(_e41);
    let _e43 = i4_;
    f4_ = bitcast<vec4<f32>>(_e43);
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/bits.wgsl
================================================
@compute @workgroup_size(1, 1, 1) 
fn main() {
    var i: i32 = 0;
    var i2_: vec2<i32>;
    var i3_: vec3<i32>;
    var i4_: vec4<i32>;
    var u: u32 = 0u;
    var u2_: vec2<u32>;
    var u3_: vec3<u32>;
    var u4_: vec4<u32>;
    var f2_: vec2<f32>;
    var f4_: vec4<f32>;

    i2_ = vec2<i32>(0);
    i3_ = vec3<i32>(0);
    i4_ = vec4<i32>(0);
    u2_ = vec2<u32>(0u);
    u3_ = vec3<u32>(0u);
    u4_ = vec4<u32>(0u);
    f2_ = vec2<f32>(0.0);
    f4_ = vec4<f32>(0.0);
    let _e28 = f4_;
    u = pack4x8snorm(_e28);
    let _e30 = f4_;
    u = pack4x8unorm(_e30);
    let _e32 = f2_;
    u = pack2x16snorm(_e32);
    let _e34 = f2_;
    u = pack2x16unorm(_e34);
    let _e36 = f2_;
    u = pack2x16float(_e36);
    let _e38 = u;
    f4_ = unpack4x8snorm(_e38);
    let _e40 = u;
    f4_ = unpack4x8unorm(_e40);
    let _e42 = u;
    f2_ = unpack2x16snorm(_e42);
    let _e44 = u;
    f2_ = unpack2x16unorm(_e44);
    let _e46 = u;
    f2_ = unpack2x16float(_e46);
    let _e48 = i;
    let _e49 = i;
    i = insertBits(_e48, _e49, 5u, 10u);
    let _e53 = i2_;
    let _e54 = i2_;
    i2_ = insertBits(_e53, _e54, 5u, 10u);
    let _e58 = i3_;
    let _e59 = i3_;
    i3_ = insertBits(_e58, _e59, 5u, 10u);
    let _e63 = i4_;
    let _e64 = i4_;
    i4_ = insertBits(_e63, _e64, 5u, 10u);
    let _e68 = u;
    let _e69 = u;
    u = insertBits(_e68, _e69, 5u, 10u);
    let _e73 = u2_;
    let _e74 = u2_;
    u2_ = insertBits(_e73, _e74, 5u, 10u);
    let _e78 = u3_;
    let _e79 = u3_;
    u3_ = insertBits(_e78, _e79, 5u, 10u);
    let _e83 = u4_;
    let _e84 = u4_;
    u4_ = insertBits(_e83, _e84, 5u, 10u);
    let _e88 = i;
    i = extractBits(_e88, 5u, 10u);
    let _e92 = i2_;
    i2_ = extractBits(_e92, 5u, 10u);
    let _e96 = i3_;
    i3_ = extractBits(_e96, 5u, 10u);
    let _e100 = i4_;
    i4_ = extractBits(_e100, 5u, 10u);
    let _e104 = u;
    u = extractBits(_e104, 5u, 10u);
    let _e108 = u2_;
    u2_ = extractBits(_e108, 5u, 10u);
    let _e112 = u3_;
    u3_ = extractBits(_e112, 5u, 10u);
    let _e116 = u4_;
    u4_ = extractBits(_e116, 5u, 10u);
    let _e120 = i;
    i = firstTrailingBit(_e120);
    let _e122 = u2_;
    u2_ = firstTrailingBit(_e122);
    let _e124 = i3_;
    i3_ = firstLeadingBit(_e124);
    let _e126 = u;
    u = firstLeadingBit(_e126);
    let _e128 = i;
    i = countOneBits(_e128);
    let _e130 = i2_;
    i2_ = countOneBits(_e130);
    let _e132 = i3_;
    i3_ = countOneBits(_e132);
    let _e134 = i4_;
    i4_ = countOneBits(_e134);
    let _e136 = u;
    u = countOneBits(_e136);
    let _e138 = u2_;
    u2_ = countOneBits(_e138);
    let _e140 = u3_;
    u3_ = countOneBits(_e140);
    let _e142 = u4_;
    u4_ = countOneBits(_e142);
    let _e144 = i;
    i = reverseBits(_e144);
    let _e146 = i2_;
    i2_ = reverseBits(_e146);
    let _e148 = i3_;
    i3_ = reverseBits(_e148);
    let _e150 = i4_;
    i4_ = reverseBits(_e150);
    let _e152 = u;
    u = reverseBits(_e152);
    let _e154 = u2_;
    u2_ = reverseBits(_e154);
    let _e156 = u3_;
    u3_ = reverseBits(_e156);
    let _e158 = u4_;
    u4_ = reverseBits(_e158);
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/bits_glsl-frag.wgsl
================================================
fn main_1() {
    var i: i32;
    var i2_: vec2<i32>;
    var i3_: vec3<i32>;
    var i4_: vec4<i32>;
    var u: u32;
    var u2_: vec2<u32>;
    var u3_: vec3<u32>;
    var u4_: vec4<u32>;
    var f2_: vec2<f32>;
    var f4_: vec4<f32>;

    i = 0;
    i2_ = vec2<i32>(0);
    i3_ = vec3<i32>(0);
    i4_ = vec4<i32>(0);
    u = u32(0);
    u2_ = vec2<u32>(u32(0));
    u3_ = vec3<u32>(u32(0));
    u4_ = vec4<u32>(u32(0));
    f2_ = vec2<f32>(0.0);
    f4_ = vec4<f32>(0.0);
    _ = f4_;
    let _e33 = f4_;
    u = pack4x8snorm(_e33);
    _ = f4_;
    let _e36 = f4_;
    u = pack4x8unorm(_e36);
    _ = f2_;
    let _e39 = f2_;
    u = pack2x16unorm(_e39);
    _ = f2_;
    let _e42 = f2_;
    u = pack2x16snorm(_e42);
    _ = f2_;
    let _e45 = f2_;
    u = pack2x16float(_e45);
    _ = u;
    let _e48 = u;
    f4_ = unpack4x8snorm(_e48);
    _ = u;
    let _e51 = u;
    f4_ = unpack4x8unorm(_e51);
    _ = u;
    let _e54 = u;
    f2_ = unpack2x16snorm(_e54);
    _ = u;
    let _e57 = u;
    f2_ = unpack2x16unorm(_e57);
    _ = u;
    let _e60 = u;
    f2_ = unpack2x16float(_e60);
    _ = i;
    _ = i;
    let _e66 = i;
    let _e67 = i;
    _ = u32(10);
    i = insertBits(_e66, _e67, u32(5), u32(10));
    _ = i2_;
    _ = i2_;
    let _e77 = i2_;
    let _e78 = i2_;
    _ = u32(10);
    i2_ = insertBits(_e77, _e78, u32(5), u32(10));
    _ = i3_;
    _ = i3_;
    let _e88 = i3_;
    let _e89 = i3_;
    _ = u32(10);
    i3_ = insertBits(_e88, _e89, u32(5), u32(10));
    _ = i4_;
    _ = i4_;
    let _e99 = i4_;
    let _e100 = i4_;
    _ = u32(10);
    i4_ = insertBits(_e99, _e100, u32(5), u32(10));
    _ = u;
    _ = u;
    let _e110 = u;
    let _e111 = u;
    _ = u32(10);
    u = insertBits(_e110, _e111, u32(5), u32(10));
    _ = u2_;
    _ = u2_;
    let _e121 = u2_;
    let _e122 = u2_;
    _ = u32(10);
    u2_ = insertBits(_e121, _e122, u32(5), u32(10));
    _ = u3_;
    _ = u3_;
    let _e132 = u3_;
    let _e133 = u3_;
    _ = u32(10);
    u3_ = insertBits(_e132, _e133, u32(5), u32(10));
    _ = u4_;
    _ = u4_;
    let _e143 = u4_;
    let _e144 = u4_;
    _ = u32(10);
    u4_ = insertBits(_e143, _e144, u32(5), u32(10));
    _ = i;
    let _e153 = i;
    i = extractBits(_e153, u32(5), u32(10));
    _ = i2_;
    let _e162 = i2_;
    i2_ = extractBits(_e162, u32(5), u32(10));
    _ = i3_;
    let _e171 = i3_;
    i3_ = extractBits(_e171, u32(5), u32(10));
    _ = i4_;
    let _e180 = i4_;
    i4_ = extractBits(_e180, u32(5), u32(10));
    _ = u;
    let _e189 = u;
    u = extractBits(_e189, u32(5), u32(10));
    _ = u2_;
    let _e198 = u2_;
    u2_ = extractBits(_e198, u32(5), u32(10));
    _ = u3_;
    let _e207 = u3_;
    u3_ = extractBits(_e207, u32(5), u32(10));
    _ = u4_;
    let _e216 = u4_;
    u4_ = extractBits(_e216, u32(5), u32(10));
    _ = i;
    let _e223 = i;
    i = firstTrailingBit(_e223);
    _ = i2_;
    let _e226 = i2_;
    i2_ = firstTrailingBit(_e226);
    _ = i3_;
    let _e229 = i3_;
    i3_ = firstTrailingBit(_e229);
    _ = i4_;
    let _e232 = i4_;
    i4_ = firstTrailingBit(_e232);
    _ = u;
    let _e235 = u;
    i = i32(firstTrailingBit(_e235));
    _ = u2_;
    let _e239 = u2_;
    i2_ = vec2<i32>(firstTrailingBit(_e239));
    _ = u3_;
    let _e243 = u3_;
    i3_ = vec3<i32>(firstTrailingBit(_e243));
    _ = u4_;
    let _e247 = u4_;
    i4_ = vec4<i32>(firstTrailingBit(_e247));
    _ = i;
    let _e251 = i;
    i = firstLeadingBit(_e251);
    _ = i2_;
    let _e254 = i2_;
    i2_ = firstLeadingBit(_e254);
    _ = i3_;
    let _e257 = i3_;
    i3_ = firstLeadingBit(_e257);
    _ = i4_;
    let _e260 = i4_;
    i4_ = firstLeadingBit(_e260);
    _ = u;
    let _e263 = u;
    i = i32(firstLeadingBit(_e263));
    _ = u2_;
    let _e267 = u2_;
    i2_ = vec2<i32>(firstLeadingBit(_e267));
    _ = u3_;
    let _e271 = u3_;
    i3_ = vec3<i32>(firstLeadingBit(_e271));
    _ = u4_;
    let _e275 = u4_;
    i4_ = vec4<i32>(firstLeadingBit(_e275));
    return;
}

@fragment 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/boids.wgsl
================================================
struct Particle {
    pos: vec2<f32>,
    vel: vec2<f32>,
}

struct SimParams {
    deltaT: f32,
    rule1Distance: f32,
    rule2Distance: f32,
    rule3Distance: f32,
    rule1Scale: f32,
    rule2Scale: f32,
    rule3Scale: f32,
}

struct Particles {
    particles: array<Particle>,
}

let NUM_PARTICLES: u32 = 1500u;

@group(0) @binding(0) 
var<uniform> params: SimParams;
@group(0) @binding(1) 
var<storage> particlesSrc: Particles;
@group(0) @binding(2) 
var<storage, read_write> particlesDst: Particles;

@compute @workgroup_size(64, 1, 1) 
fn main(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    var vPos: vec2<f32>;
    var vVel: vec2<f32>;
    var cMass: vec2<f32>;
    var cVel: vec2<f32>;
    var colVel: vec2<f32>;
    var cMassCount: i32 = 0;
    var cVelCount: i32 = 0;
    var pos: vec2<f32>;
    var vel: vec2<f32>;
    var i: u32 = 0u;

    let index = global_invocation_id.x;
    if (index >= NUM_PARTICLES) {
        return;
    }
    let _e10 = particlesSrc.particles[index].pos;
    vPos = _e10;
    let _e15 = particlesSrc.particles[index].vel;
    vVel = _e15;
    cMass = vec2<f32>(0.0, 0.0);
    cVel = vec2<f32>(0.0, 0.0);
    colVel = vec2<f32>(0.0, 0.0);
    loop {
        let _e37 = i;
        if (_e37 >= NUM_PARTICLES) {
            break;
        }
        let _e39 = i;
        if (_e39 == index) {
            continue;
        }
        let _e42 = i;
        let _e45 = particlesSrc.particles[_e42].pos;
        pos = _e45;
        let _e47 = i;
        let _e50 = particlesSrc.particles[_e47].vel;
        vel = _e50;
        let _e51 = pos;
        let _e52 = vPos;
        let _e55 = params.rule1Distance;
        if (distance(_e51, _e52) < _e55) {
            let _e57 = cMass;
            let _e58 = pos;
            cMass = (_e57 + _e58);
            let _e60 = cMassCount;
            cMassCount = (_e60 + 1);
        }
        let _e63 = pos;
        let _e64 = vPos;
        let _e67 = params.rule2Distance;
        if (distance(_e63, _e64) < _e67) {
            let _e69 = colVel;
            let _e70 = pos;
            let _e71 = vPos;
            colVel = (_e69 - (_e70 - _e71));
        }
        let _e74 = pos;
        let _e75 = vPos;
        let _e78 = params.rule3Distance;
        if (distance(_e74, _e75) < _e78) {
            let _e80 = cVel;
            let _e81 = vel;
            cVel = (_e80 + _e81);
            let _e83 = cVelCount;
            cVelCount = (_e83 + 1);
        }
        continuing {
            let _e86 = i;
            i = (_e86 + 1u);
        }
    }
    let _e89 = cMassCount;
    if (_e89 > 0) {
        let _e92 = cMass;
        let _e93 = cMassCount;
        let _e97 = vPos;
        cMass = ((_e92 / vec2<f32>(f32(_e93))) - _e97);
    }
    let _e99 = cVelCount;
    if (_e99 > 0) {
        let _e102 = cVel;
        let _e103 = cVelCount;
        cVel = (_e102 / vec2<f32>(f32(_e103)));
    }
    let _e107 = vVel;
    let _e108 = cMass;
    let _e110 = params.rule1Scale;
    let _e113 = colVel;
    let _e115 = params.rule2Scale;
    let _e118 = cVel;
    let _e120 = params.rule3Scale;
    vVel = (((_e107 + (_e108 * _e110)) + (_e113 * _e115)) + (_e118 * _e120));
    let _e123 = vVel;
    let _e125 = vVel;
    vVel = (normalize(_e123) * clamp(length(_e125), 0.0, 0.10000000149011612));
    let _e131 = vPos;
    let _e132 = vVel;
    let _e134 = params.deltaT;
    vPos = (_e131 + (_e132 * _e134));
    let _e138 = vPos.x;
    if (_e138 < -1.0) {
        vPos.x = 1.0;
    }
    let _e144 = vPos.x;
    if (_e144 > 1.0) {
        vPos.x = -1.0;
    }
    let _e150 = vPos.y;
    if (_e150 < -1.0) {
        vPos.y = 1.0;
    }
    let _e156 = vPos.y;
    if (_e156 > 1.0) {
        vPos.y = -1.0;
    }
    let _e164 = vPos;
    particlesDst.particles[index].pos = _e164;
    let _e168 = vVel;
    particlesDst.particles[index].vel = _e168;
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/bool-select-frag.wgsl
================================================
struct FragmentOutput {
    @location(0) o_color: vec4<f32>,
}

var<private> o_color: vec4<f32>;

fn TevPerCompGT(a: f32, b: f32) -> f32 {
    var a_1: f32;
    var b_1: f32;

    a_1 = a;
    b_1 = b;
    let _e5 = a_1;
    let _e6 = b_1;
    return select(0.0, 1.0, (_e5 > _e6));
}

fn TevPerCompGT_1(a_2: vec3<f32>, b_2: vec3<f32>) -> vec3<f32> {
    var a_3: vec3<f32>;
    var b_3: vec3<f32>;

    a_3 = a_2;
    b_3 = b_2;
    _ = a_3;
    _ = b_3;
    let _e7 = a_3;
    let _e8 = b_3;
    return select(vec3<f32>(0.0), vec3<f32>(1.0), (_e7 > _e8));
}

fn main_1() {
    let _e1 = o_color;
    _ = _e1.xyz;
    _ = vec3<f32>(3.0);
    _ = vec3<f32>(5.0);
    let _e11 = TevPerCompGT_1(vec3<f32>(3.0), vec3<f32>(5.0));
    o_color.x = _e11.x;
    o_color.y = _e11.y;
    o_color.z = _e11.z;
    let _e23 = TevPerCompGT(3.0, 5.0);
    o_color.w = _e23;
    return;
}

@fragment 
fn main() -> FragmentOutput {
    main_1();
    let _e3 = o_color;
    return FragmentOutput(_e3);
}


================================================
FILE: lib/naga/tests/out/wgsl/break-if.wgsl
================================================
fn breakIfEmpty() {
    loop {
        continuing {
            break if true;
        }
    }
    return;
}

fn breakIfEmptyBody(a: bool) {
    var b: bool;
    var c: bool;

    loop {
        continuing {
            b = a;
            let _e2 = b;
            c = (a != _e2);
            let _e5 = c;
            _ = (a == _e5);
            break if (a == _e5);
        }
    }
    return;
}

fn breakIf(a_1: bool) {
    var d: bool;
    var e: bool;

    loop {
        d = a_1;
        let _e2 = d;
        e = (a_1 != _e2);
        continuing {
            let _e5 = e;
            _ = (a_1 == _e5);
            break if (a_1 == _e5);
        }
    }
    return;
}

@compute @workgroup_size(1, 1, 1) 
fn main() {
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/buffer-frag.wgsl
================================================
struct testBufferBlock {
    data: array<u32>,
}

struct testBufferWriteOnlyBlock {
    data: array<u32>,
}

struct testBufferReadOnlyBlock {
    data: array<u32>,
}

@group(0) @binding(0) 
var<storage, read_write> testBuffer: testBufferBlock;
@group(0) @binding(1) 
var<storage, read_write> testBufferWriteOnly: testBufferWriteOnlyBlock;
@group(0) @binding(2) 
var<storage> testBufferReadOnly: testBufferReadOnlyBlock;

fn main_1() {
    var a: u32;
    var b: u32;

    _ = (&testBuffer.data);
    _ = (&testBufferWriteOnly.data);
    _ = (&testBufferReadOnly.data);
    let _e12 = testBuffer.data[0];
    a = _e12;
    testBuffer.data[1] = u32(2);
    testBufferWriteOnly.data[1] = u32(2);
    let _e27 = testBufferReadOnly.data[0];
    b = _e27;
    return;
}

@fragment 
fn main() {
    _ = (&testBuffer.data);
    _ = (&testBufferWriteOnly.data);
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/clamp-splat-vert.wgsl
================================================
struct VertexOutput {
    @builtin(position) member: vec4<f32>,
}

var<private> a_pos_1: vec2<f32>;
var<private> gl_Position: vec4<f32>;

fn main_1() {
    _ = a_pos_1;
    let _e5 = a_pos_1;
    let _e10 = clamp(_e5, vec2<f32>(0.0), vec2<f32>(1.0));
    gl_Position = vec4<f32>(_e10.x, _e10.y, 0.0, 1.0);
    return;
}

@vertex 
fn main(@location(0) a_pos: vec2<f32>) -> VertexOutput {
    a_pos_1 = a_pos;
    main_1();
    let _e5 = gl_Position;
    return VertexOutput(_e5);
}


================================================
FILE: lib/naga/tests/out/wgsl/collatz.wgsl
================================================
struct PrimeIndices {
    data: array<u32>,
}

@group(0) @binding(0) 
var<storage, read_write> v_indices: PrimeIndices;

fn collatz_iterations(n_base: u32) -> u32 {
    var n: u32;
    var i: u32 = 0u;

    n = n_base;
    loop {
        let _e5 = n;
        if (_e5 > 1u) {
        } else {
            break;
        }
        let _e8 = n;
        if ((_e8 % 2u) == 0u) {
            let _e13 = n;
            n = (_e13 / 2u);
        } else {
            let _e17 = n;
            n = ((3u * _e17) + 1u);
        }
        let _e21 = i;
        i = (_e21 + 1u);
    }
    let _e24 = i;
    return _e24;
}

@compute @workgroup_size(1, 1, 1) 
fn main(@builtin(global_invocation_id) global_id: vec3<u32>) {
    let _e8 = v_indices.data[global_id.x];
    let _e9 = collatz_iterations(_e8);
    v_indices.data[global_id.x] = _e9;
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/constant-array-size-vert.wgsl
================================================
struct Data {
    vecs: array<vec4<f32>,42u>,
}

@group(1) @binding(0) 
var<uniform> global: Data;

fn function_() -> vec4<f32> {
    var sum: vec4<f32>;
    var i: i32;

    sum = vec4<f32>(f32(0));
    i = 0;
    loop {
        let _e9 = i;
        if !((_e9 < 42)) {
            break;
        }
        {
            let _e15 = sum;
            let _e16 = i;
            let _e18 = global.vecs[_e16];
            sum = (_e15 + _e18);
        }
        continuing {
            let _e12 = i;
            i = (_e12 + 1);
        }
    }
    let _e20 = sum;
    return _e20;
}

fn main_1() {
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/control-flow.wgsl
================================================
fn switch_default_break(i: i32) {
    switch i {
        default: {
            break;
        }
    }
}

fn switch_case_break() {
    switch 0 {
        case 0: {
            break;
        }
        default: {
        }
    }
    return;
}

fn loop_switch_continue(x: i32) {
    loop {
        switch x {
            case 1: {
                continue;
            }
            default: {
            }
        }
    }
    return;
}

@compute @workgroup_size(1, 1, 1) 
fn main(@builtin(global_invocation_id) global_id: vec3<u32>) {
    var pos: i32;

    storageBarrier();
    workgroupBarrier();
    switch 1 {
        default: {
            pos = 1;
        }
    }
    let _e4 = pos;
    switch _e4 {
        case 1: {
            pos = 0;
            break;
        }
        case 2: {
            pos = 1;
        }
        case 3: {
            pos = 2;
            fallthrough;
        }
        case 4: {
            pos = 3;
            fallthrough;
        }
        default: {
            pos = 4;
        }
    }
    switch 0u {
        case 0u: {
        }
        default: {
        }
    }
    let _e11 = pos;
    switch _e11 {
        case 1: {
            pos = 0;
            break;
        }
        case 2: {
            pos = 1;
            return;
        }
        case 3: {
            pos = 2;
            fallthrough;
        }
        case 4: {
            return;
        }
        default: {
            pos = 3;
            return;
        }
    }
}


================================================
FILE: lib/naga/tests/out/wgsl/declarations-vert.wgsl
================================================
struct VertexData {
    position: vec2<f32>,
    a: vec2<f32>,
}

struct FragmentData {
    position: vec2<f32>,
    a: vec2<f32>,
}

struct TestStruct {
    a: f32,
    b: f32,
}

struct VertexOutput {
    @location(0) position: vec2<f32>,
    @location(1) a: vec2<f32>,
    @location(2) out_array: vec4<f32>,
    @location(3) out_array_1: vec4<f32>,
}

var<private> vert: VertexData;
var<private> frag: FragmentData;
var<private> in_array_2: array<vec4<f32>,2u>;
var<private> out_array: array<vec4<f32>,2u>;
var<private> array_2d: array<array<f32,2u>,2u>;
var<private> array_toomanyd: array<array<array<array<array<array<array<f32,2u>,2u>,2u>,2u>,2u>,2u>,2u>;

fn main_1() {
    var positions: array<vec3<f32>,2u>;
    var strct: TestStruct;
    var from_input_array: vec4<f32>;
    var a_1: f32;
    var b: f32;

    _ = (&vert.position);
    _ = (&vert.a);
    _ = (&frag.position);
    _ = (&frag.a);
    positions = array<vec3<f32>,2u>(vec3<f32>(-(1.0), 1.0, 0.0), vec3<f32>(-(1.0), -(1.0), 0.0));
    strct = TestStruct(f32(1), f32(2));
    let _e35 = in_array_2[1];
    from_input_array = _e35;
    let _e41 = array_2d[0][0];
    a_1 = _e41;
    let _e57 = array_toomanyd[0][0][0][0][0][0][0];
    b = _e57;
    out_array[0] = vec4<f32>(2.0);
    return;
}

@vertex 
fn main(@location(0) position: vec2<f32>, @location(1) a: vec2<f32>, @location(2) in_array: vec4<f32>, @location(3) in_array_1: vec4<f32>) -> VertexOutput {
    vert.position = position;
    vert.a = a;
    in_array_2[0] = in_array;
    in_array_2[1] = in_array_1;
    _ = (&vert.position);
    _ = (&vert.a);
    _ = (&frag.position);
    _ = (&frag.a);
    main_1();
    let _e30 = frag.position;
    let _e32 = frag.a;
    let _e35 = out_array[0];
    let _e37 = out_array[1];
    return VertexOutput(_e30, _e32, _e35, _e37);
}


================================================
FILE: lib/naga/tests/out/wgsl/empty-global-name.wgsl
================================================
struct type_1 {
    member: i32,
}

@group(0) @binding(0) 
var<storage, read_write> unnamed: type_1;

fn function_() {
    let _e8 = unnamed.member;
    unnamed.member = (_e8 + 1);
    return;
}

@compute @workgroup_size(1, 1, 1) 
fn main() {
    function_();
}


================================================
FILE: lib/naga/tests/out/wgsl/empty.wgsl
================================================
@compute @workgroup_size(1, 1, 1) 
fn main() {
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/expressions-frag.wgsl
================================================
struct BST {
    data: i32,
}

struct a_buf {
    a: array<f32>,
}

struct FragmentOutput {
    @location(0) o_color: vec4<f32>,
}

var<private> global: f32;
@group(0) @binding(0) 
var<storage, read_write> global_1: a_buf;
var<private> o_color: vec4<f32>;

fn testBinOpVecFloat(a: vec4<f32>, b: f32) {
    var a_1: vec4<f32>;
    var b_1: f32;
    var v: vec4<f32>;

    a_1 = a;
    b_1 = b;
    let _e5 = a_1;
    v = (_e5 * 2.0);
    let _e8 = a_1;
    v = (_e8 / vec4<f32>(2.0));
    let _e12 = a_1;
    v = (_e12 + vec4<f32>(2.0));
    let _e16 = a_1;
    v = (_e16 - vec4<f32>(2.0));
    return;
}

fn testBinOpFloatVec(a_2: vec4<f32>, b_2: f32) {
    var a_3: vec4<f32>;
    var b_3: f32;
    var v_1: vec4<f32>;

    a_3 = a_2;
    b_3 = b_2;
    let _e5 = a_3;
    let _e6 = b_3;
    v_1 = (_e5 * _e6);
    let _e8 = a_3;
    let _e9 = b_3;
    v_1 = (_e8 / vec4<f32>(_e9));
    let _e12 = a_3;
    let _e13 = b_3;
    v_1 = (_e12 + vec4<f32>(_e13));
    let _e16 = a_3;
    let _e17 = b_3;
    v_1 = (_e16 - vec4<f32>(_e17));
    return;
}

fn testBinOpIVecInt(a_4: vec4<i32>, b_4: i32) {
    var a_5: vec4<i32>;
    var b_5: i32;
    var v_2: vec4<i32>;

    a_5 = a_4;
    b_5 = b_4;
    let _e5 = a_5;
    let _e6 = b_5;
    v_2 = (_e5 * _e6);
    let _e8 = a_5;
    let _e9 = b_5;
    v_2 = (_e8 / vec4<i32>(_e9));
    let _e12 = a_5;
    let _e13 = b_5;
    v_2 = (_e12 + vec4<i32>(_e13));
    let _e16 = a_5;
    let _e17 = b_5;
    v_2 = (_e16 - vec4<i32>(_e17));
    let _e20 = a_5;
    let _e21 = b_5;
    v_2 = (_e20 & vec4<i32>(_e21));
    let _e24 = a_5;
    let _e25 = b_5;
    v_2 = (_e24 | vec4<i32>(_e25));
    let _e28 = a_5;
    let _e29 = b_5;
    v_2 = (_e28 ^ vec4<i32>(_e29));
    let _e32 = a_5;
    let _e33 = b_5;
    v_2 = (_e32 >> vec4<u32>(u32(_e33)));
    let _e37 = a_5;
    let _e38 = b_5;
    v_2 = (_e37 << vec4<u32>(u32(_e38)));
    return;
}

fn testBinOpIntIVec(a_6: i32, b_6: vec4<i32>) {
    var a_7: i32;
    var b_7: vec4<i32>;
    var v_3: vec4<i32>;

    a_7 = a_6;
    b_7 = b_6;
    let _e5 = a_7;
    let _e6 = b_7;
    v_3 = (_e5 * _e6);
    let _e8 = a_7;
    let _e9 = b_7;
    v_3 = (vec4<i32>(_e8) + _e9);
    let _e12 = a_7;
    let _e13 = b_7;
    v_3 = (vec4<i32>(_e12) - _e13);
    let _e16 = a_7;
    let _e17 = b_7;
    v_3 = (vec4<i32>(_e16) & _e17);
    let _e20 = a_7;
    let _e21 = b_7;
    v_3 = (vec4<i32>(_e20) | _e21);
    let _e24 = a_7;
    let _e25 = b_7;
    v_3 = (vec4<i32>(_e24) ^ _e25);
    return;
}

fn testBinOpUVecUint(a_8: vec4<u32>, b_8: u32) {
    var a_9: vec4<u32>;
    var b_9: u32;
    var v_4: vec4<u32>;

    a_9 = a_8;
    b_9 = b_8;
    let _e5 = a_9;
    let _e6 = b_9;
    v_4 = (_e5 * _e6);
    let _e8 = a_9;
    let _e9 = b_9;
    v_4 = (_e8 / vec4<u32>(_e9));
    let _e12 = a_9;
    let _e13 = b_9;
    v_4 = (_e12 + vec4<u32>(_e13));
    let _e16 = a_9;
    let _e17 = b_9;
    v_4 = (_e16 - vec4<u32>(_e17));
    let _e20 = a_9;
    let _e21 = b_9;
    v_4 = (_e20 & vec4<u32>(_e21));
    let _e24 = a_9;
    let _e25 = b_9;
    v_4 = (_e24 | vec4<u32>(_e25));
    let _e28 = a_9;
    let _e29 = b_9;
    v_4 = (_e28 ^ vec4<u32>(_e29));
    let _e32 = a_9;
    let _e33 = b_9;
    v_4 = (_e32 >> vec4<u32>(_e33));
    let _e36 = a_9;
    let _e37 = b_9;
    v_4 = (_e36 << vec4<u32>(_e37));
    return;
}

fn testBinOpUintUVec(a_10: u32, b_10: vec4<u32>) {
    var a_11: u32;
    var b_11: vec4<u32>;
    var v_5: vec4<u32>;

    a_11 = a_10;
    b_11 = b_10;
    let _e5 = a_11;
    let _e6 = b_11;
    v_5 = (_e5 * _e6);
    let _e8 = a_11;
    let _e9 = b_11;
    v_5 = (vec4<u32>(_e8) + _e9);
    let _e12 = a_11;
    let _e13 = b_11;
    v_5 = (vec4<u32>(_e12) - _e13);
    let _e16 = a_11;
    let _e17 = b_11;
    v_5 = (vec4<u32>(_e16) & _e17);
    let _e20 = a_11;
    let _e21 = b_11;
    v_5 = (vec4<u32>(_e20) | _e21);
    let _e24 = a_11;
    let _e25 = b_11;
    v_5 = (vec4<u32>(_e24) ^ _e25);
    return;
}

fn testBinOpMatMat(a_12: mat3x3<f32>, b_12: mat3x3<f32>) {
    var a_13: mat3x3<f32>;
    var b_13: mat3x3<f32>;
    var v_6: mat3x3<f32>;
    var c: bool;

    a_13 = a_12;
    b_13 = b_12;
    let _e6 = a_13;
    let _e7 = b_13;
    v_6 = mat3x3<f32>((_e6[0] / _e7[0]), (_e6[1] / _e7[1]), (_e6[2] / _e7[2]));
    let _e18 = a_13;
    let _e19 = b_13;
    v_6 = (_e18 * _e19);
    let _e21 = a_13;
    let _e22 = b_13;
    v_6 = (_e21 + _e22);
    let _e24 = a_13;
    let _e25 = b_13;
    v_6 = (_e24 - _e25);
    let _e27 = a_13;
    let _e28 = b_13;
    c = (all((_e27[2] == _e28[2])) && (all((_e27[1] == _e28[1])) && all((_e27[0] == _e28[0]))));
    let _e43 = a_13;
    let _e44 = b_13;
    c = (any((_e43[2] != _e44[2])) || (any((_e43[1] != _e44[1])) || any((_e43[0] != _e44[0]))));
    return;
}

fn testBinOpMatFloat(a_14: f32, b_14: mat3x3<f32>) {
    var a_15: f32;
    var b_15: mat3x3<f32>;
    var v_7: mat3x3<f32>;

    a_15 = a_14;
    b_15 = b_14;
    let _e5 = a_15;
    let _e6 = b_15;
    let _e7 = vec3<f32>(_e5);
    v_7 = mat3x3<f32>((_e7 / _e6[0]), (_e7 / _e6[1]), (_e7 / _e6[2]));
    let _e15 = a_15;
    let _e16 = b_15;
    v_7 = (_e15 * _e16);
    let _e18 = a_15;
    let _e19 = b_15;
    let _e20 = vec3<f32>(_e18);
    v_7 = mat3x3<f32>((_e20 + _e19[0]), (_e20 + _e19[1]), (_e20 + _e19[2]));
    let _e28 = a_15;
    let _e29 = b_15;
    let _e30 = vec3<f32>(_e28);
    v_7 = mat3x3<f32>((_e30 - _e29[0]), (_e30 - _e29[1]), (_e30 - _e29[2]));
    let _e38 = b_15;
    let _e39 = a_15;
    let _e40 = vec3<f32>(_e39);
    v_7 = mat3x3<f32>((_e38[0] / _e40), (_e38[1] / _e40), (_e38[2] / _e40));
    let _e48 = b_15;
    let _e49 = a_15;
    v_7 = (_e48 * _e49);
    let _e51 = b_15;
    let _e52 = a_15;
    let _e53 = vec3<f32>(_e52);
    v_7 = mat3x3<f32>((_e51[0] + _e53), (_e51[1] + _e53), (_e51[2] + _e53));
    let _e61 = b_15;
    let _e62 = a_15;
    let _e63 = vec3<f32>(_e62);
    v_7 = mat3x3<f32>((_e61[0] - _e63), (_e61[1] - _e63), (_e61[2] - _e63));
    return;
}

fn testUnaryOpMat(a_16: mat3x3<f32>) {
    var a_17: mat3x3<f32>;
    var v_8: mat3x3<f32>;

    a_17 = a_16;
    let _e3 = a_17;
    v_8 = -(_e3);
    let _e5 = a_17;
    let _e7 = vec3<f32>(1.0);
    let _e9 = (_e5 - mat3x3<f32>(_e7, _e7, _e7));
    a_17 = _e9;
    v_8 = _e9;
    let _e10 = a_17;
    let _e12 = vec3<f32>(1.0);
    a_17 = (_e10 - mat3x3<f32>(_e12, _e12, _e12));
    v_8 = _e10;
    return;
}

fn testStructConstructor() {
    var tree: BST;

    tree = BST(1);
    return;
}

fn testNonScalarToScalarConstructor() {
    var f: f32;

    f = f32(mat2x2<f32>(vec2<f32>(1.0, 0.0), vec2<f32>(0.0, 1.0))[0].x);
    return;
}

fn testArrayConstructor() {
    var tree_1: array<f32,1u>;

    tree_1 = array<f32,1u>(0.0);
    return;
}

fn testFreestandingConstructor() {
    return;
}

fn testNonImplicitCastVectorCast() {
    var a_18: u32;
    var b_16: vec4<i32>;

    a_18 = u32(1);
    let _e3 = a_18;
    b_16 = vec4<i32>(i32(_e3));
    return;
}

fn privatePointer(a_19: ptr<function, f32>) {
    return;
}

fn ternary(a_20: bool) {
    var a_21: bool;
    var local: u32;
    var b_17: u32;
    var local_1: u32;
    var c_1: u32;
    var local_2: u32;
    var local_3: u32;
    var local_4: u32;
    var nested: u32;

    a_21 = a_20;
    let _e3 = a_21;
    if _e3 {
        local = u32(0);
    } else {
        local = 1u;
    }
    let _e8 = local;
    b_17 = _e8;
    let _e10 = a_21;
    if _e10 {
        local_1 = 0u;
    } else {
        local_1 = u32(1);
    }
    let _e15 = local_1;
    c_1 = _e15;
    let _e17 = a_21;
    if _e17 {
        let _e18 = a_21;
        if _e18 {
            let _e19 = a_21;
            if _e19 {
                local_2 = 2u;
            } else {
                local_2 = u32(3);
            }
            let _e24 = local_2;
            local_3 = _e24;
        } else {
            local_3 = 4u;
        }
        let _e27 = local_3;
        local_4 = _e27;
    } else {
        local_4 = u32(5);
    }
    let _e31 = local_4;
    nested = _e31;
    return;
}

fn testMatrixMultiplication(a_22: mat4x3<f32>, b_18: mat4x4<f32>) {
    var a_23: mat4x3<f32>;
    var b_19: mat4x4<f32>;
    var c_2: mat4x3<f32>;

    a_23 = a_22;
    b_19 = b_18;
    let _e5 = a_23;
    let _e6 = b_19;
    c_2 = (_e5 * _e6);
    return;
}

fn testLength() {
    var len: i32;

    len = i32(arrayLength((&global_1.a)));
    return;
}

fn testConstantLength(a_24: array<f32,4u>) {
    var a_25: array<f32,4u>;
    var len_1: i32;

    _ = (&global_1.a);
    a_25 = a_24;
    _ = a_25;
    len_1 = i32(4u);
    return;
}

fn main_1() {
    var local_5: f32;

    _ = (&global_1.a);
    _ = global;
    let _e5 = global;
    local_5 = _e5;
    privatePointer((&local_5));
    let _e7 = local_5;
    global = _e7;
    let _e8 = o_color;
    _ = _e8.xyzw;
    let _e11 = vec4<f32>(1.0);
    o_color.x = _e11.x;
    o_color.y = _e11.y;
    o_color.z = _e11.z;
    o_color.w = _e11.w;
    return;
}

@fragment 
fn main() -> FragmentOutput {
    _ = (&global_1.a);
    main_1();
    let _e7 = o_color;
    return FragmentOutput(_e7);
}


================================================
FILE: lib/naga/tests/out/wgsl/extra.wgsl
================================================
struct PushConstants {
    index: u32,
    double: vec2<f32>,
}

struct FragmentIn {
    @location(0) color: vec4<f32>,
    @builtin(primitive_index) primitive_index: u32,
}

var<push_constant> pc: PushConstants;

@fragment 
fn main(in: FragmentIn) -> @location(0) vec4<f32> {
    let _e4 = pc.index;
    if (in.primitive_index == _e4) {
        return in.color;
    } else {
        return vec4<f32>((vec3<f32>(1.0) - in.color.xyz), in.color.w);
    }
}


================================================
FILE: lib/naga/tests/out/wgsl/fma-frag.wgsl
================================================
struct Mat4x3_ {
    mx: vec4<f32>,
    my: vec4<f32>,
    mz: vec4<f32>,
}

struct FragmentOutput {
    @location(0) o_color: vec4<f32>,
}

var<private> o_color: vec4<f32>;

fn Fma(d: ptr<function, Mat4x3_>, m: Mat4x3_, s: f32) {
    var m_1: Mat4x3_;
    var s_1: f32;

    m_1 = m;
    s_1 = s;
    let _e7 = (*d).mx;
    let _e9 = m_1.mx;
    let _e10 = s_1;
    (*d).mx = (_e7 + (_e9 * _e10));
    let _e15 = (*d).my;
    let _e17 = m_1.my;
    let _e18 = s_1;
    (*d).my = (_e15 + (_e17 * _e18));
    let _e23 = (*d).mz;
    let _e25 = m_1.mz;
    let _e26 = s_1;
    (*d).mz = (_e23 + (_e25 * _e26));
    return;
}

fn main_1() {
    let _e1 = o_color;
    _ = _e1.xyzw;
    let _e4 = vec4<f32>(1.0);
    o_color.x = _e4.x;
    o_color.y = _e4.y;
    o_color.z = _e4.z;
    o_color.w = _e4.w;
    return;
}

@fragment 
fn main() -> FragmentOutput {
    main_1();
    let _e3 = o_color;
    return FragmentOutput(_e3);
}


================================================
FILE: lib/naga/tests/out/wgsl/functions.wgsl
================================================
fn test_fma() -> vec2<f32> {
    let a = vec2<f32>(2.0, 2.0);
    let b = vec2<f32>(0.5, 0.5);
    let c = vec2<f32>(0.5, 0.5);
    return fma(a, b, c);
}

fn test_integer_dot_product() -> i32 {
    let a_2_ = vec2<i32>(1);
    let b_2_ = vec2<i32>(1);
    let c_2_ = dot(a_2_, b_2_);
    let a_3_ = vec3<u32>(1u);
    let b_3_ = vec3<u32>(1u);
    let c_3_ = dot(a_3_, b_3_);
    let c_4_ = dot(vec4<i32>(4), vec4<i32>(2));
    return c_4_;
}

@compute @workgroup_size(1, 1, 1) 
fn main() {
    let _e0 = test_fma();
    let _e1 = test_integer_dot_product();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/global-constant-array-vert.wgsl
================================================
var<private> i: u32;

fn main_1() {
    var local: array<f32,2u> = array<f32,2u>(1.0, 2.0);

    let _e2 = i;
}

@vertex 
fn main() {
    _ = array<f32,2u>(1.0, 2.0);
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/globals.wgsl
================================================
struct Foo {
    v3_: vec3<f32>,
    v1_: f32,
}

let Foo_2: bool = true;

var<workgroup> wg: array<f32,10u>;
var<workgroup> at_1: atomic<u32>;
@group(0) @binding(1) 
var<storage, read_write> alignment: Foo;
@group(0) @binding(2) 
var<storage> dummy: array<vec2<f32>>;
@group(0) @binding(3) 
var<uniform> float_vecs: array<vec4<f32>,20>;
@group(0) @binding(4) 
var<uniform> global_vec: vec3<f32>;
@group(0) @binding(5) 
var<uniform> global_mat: mat3x2<f32>;
@group(0) @binding(6) 
var<uniform> global_nested_arrays_of_matrices_2x4_: array<array<mat2x4<f32>,2>,2>;
@group(0) @binding(7) 
var<uniform> global_nested_arrays_of_matrices_4x2_: array<array<mat4x2<f32>,2>,2>;

fn test_msl_packed_vec3_as_arg(arg: vec3<f32>) {
    return;
}

fn test_msl_packed_vec3_() {
    var idx: i32 = 1;

    alignment.v3_ = vec3<f32>(1.0);
    alignment.v3_.x = 1.0;
    alignment.v3_.x = 2.0;
    let _e23 = idx;
    alignment.v3_[_e23] = 3.0;
    let data = alignment;
    _ = data.v3_;
    _ = data.v3_.zx;
    test_msl_packed_vec3_as_arg(data.v3_);
    _ = (data.v3_ * mat3x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)));
    _ = (mat3x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)) * data.v3_);
    _ = (data.v3_ * 2.0);
    _ = (2.0 * data.v3_);
}

@compute @workgroup_size(1, 1, 1) 
fn main() {
    var Foo_1: f32 = 1.0;
    var at: bool = true;

    test_msl_packed_vec3_();
    let _e16 = global_nested_arrays_of_matrices_4x2_[0][0];
    let _e23 = global_nested_arrays_of_matrices_2x4_[0][0][0];
    wg[7] = (_e16 * _e23).x;
    let _e28 = global_mat;
    let _e29 = global_vec;
    wg[6] = (_e28 * _e29).x;
    let _e37 = dummy[1].y;
    wg[5] = _e37;
    let _e43 = float_vecs[0].w;
    wg[4] = _e43;
    let _e47 = alignment.v1_;
    wg[3] = _e47;
    let _e52 = alignment.v3_.x;
    wg[2] = _e52;
    alignment.v1_ = 4.0;
    wg[1] = f32(arrayLength((&dummy)));
    atomicStore((&at_1), 2u);
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/image.wgsl
================================================
@group(0) @binding(0) 
var image_mipmapped_src: texture_2d<u32>;
@group(0) @binding(3) 
var image_multisampled_src: texture_multisampled_2d<u32>;
@group(0) @binding(4) 
var image_depth_multisampled_src: texture_depth_multisampled_2d;
@group(0) @binding(1) 
var image_storage_src: texture_storage_2d<rgba8uint,read>;
@group(0) @binding(5) 
var image_array_src: texture_2d_array<u32>;
@group(0) @binding(6) 
var image_dup_src: texture_storage_1d<r32uint,read>;
@group(0) @binding(7) 
var image_1d_src: texture_1d<u32>;
@group(0) @binding(2) 
var image_dst: texture_storage_1d<r32uint,write>;
@group(0) @binding(0) 
var image_1d: texture_1d<f32>;
@group(0) @binding(1) 
var image_2d: texture_2d<f32>;
@group(0) @binding(2) 
var image_2d_array: texture_2d_array<f32>;
@group(0) @binding(3) 
var image_cube: texture_cube<f32>;
@group(0) @binding(4) 
var image_cube_array: texture_cube_array<f32>;
@group(0) @binding(5) 
var image_3d: texture_3d<f32>;
@group(0) @binding(6) 
var image_aa: texture_multisampled_2d<f32>;
@group(1) @binding(0) 
var sampler_reg: sampler;
@group(1) @binding(1) 
var sampler_cmp: sampler_comparison;
@group(1) @binding(2) 
var image_2d_depth: texture_depth_2d;
@group(1) @binding(3) 
var image_cube_depth: texture_depth_cube;

@compute @workgroup_size(16, 1, 1) 
fn main(@builtin(local_invocation_id) local_id: vec3<u32>) {
    let dim = textureDimensions(image_storage_src);
    let itc = ((dim * vec2<i32>(local_id.xy)) % vec2<i32>(10, 20));
    let value1_ = textureLoad(image_mipmapped_src, itc, i32(local_id.z));
    let value2_ = textureLoad(image_multisampled_src, itc, i32(local_id.z));
    let value4_ = textureLoad(image_storage_src, itc);
    let value5_ = textureLoad(image_array_src, itc, i32(local_id.z), (i32(local_id.z) + 1));
    let value6_ = textureLoad(image_1d_src, i32(local_id.x), i32(local_id.z));
    textureStore(image_dst, itc.x, ((((value1_ + value2_) + value4_) + value5_) + value6_));
    return;
}

@compute @workgroup_size(16, 1, 1) 
fn depth_load(@builtin(local_invocation_id) local_id_1: vec3<u32>) {
    let dim_1 = textureDimensions(image_storage_src);
    let itc_1 = ((dim_1 * vec2<i32>(local_id_1.xy)) % vec2<i32>(10, 20));
    let val = textureLoad(image_depth_multisampled_src, itc_1, i32(local_id_1.z));
    textureStore(image_dst, itc_1.x, vec4<u32>(u32(val)));
    return;
}

@vertex 
fn queries() -> @builtin(position) vec4<f32> {
    let dim_1d = textureDimensions(image_1d);
    let dim_1d_lod = textureDimensions(image_1d, i32(dim_1d));
    let dim_2d = textureDimensions(image_2d);
    let dim_2d_lod = textureDimensions(image_2d, 1);
    let dim_2d_array = textureDimensions(image_2d_array);
    let dim_2d_array_lod = textureDimensions(image_2d_array, 1);
    let dim_cube = textureDimensions(image_cube);
    let dim_cube_lod = textureDimensions(image_cube, 1);
    let dim_cube_array = textureDimensions(image_cube_array);
    let dim_cube_array_lod = textureDimensions(image_cube_array, 1);
    let dim_3d = textureDimensions(image_3d);
    let dim_3d_lod = textureDimensions(image_3d, 1);
    let dim_2s_ms = textureDimensions(image_aa);
    let sum = ((((((((((dim_1d + dim_2d.y) + dim_2d_lod.y) + dim_2d_array.y) + dim_2d_array_lod.y) + dim_cube.y) + dim_cube_lod.y) + dim_cube_array.y) + dim_cube_array_lod.y) + dim_3d.z) + dim_3d_lod.z);
    return vec4<f32>(f32(sum));
}

@vertex 
fn levels_queries() -> @builtin(position) vec4<f32> {
    let num_levels_2d = textureNumLevels(image_2d);
    let num_levels_2d_array = textureNumLevels(image_2d_array);
    let num_layers_2d = textureNumLayers(image_2d_array);
    let num_levels_cube = textureNumLevels(image_cube);
    let num_levels_cube_array = textureNumLevels(image_cube_array);
    let num_layers_cube = textureNumLayers(image_cube_array);
    let num_levels_3d = textureNumLevels(image_3d);
    let num_samples_aa = textureNumSamples(image_aa);
    let sum_1 = (((((((num_layers_2d + num_layers_cube) + num_samples_aa) + num_levels_2d) + num_levels_2d_array) + num_levels_3d) + num_levels_cube) + num_levels_cube_array);
    return vec4<f32>(f32(sum_1));
}

@fragment 
fn texture_sample() -> @location(0) vec4<f32> {
    let tc = vec2<f32>(0.5);
    let s1d = textureSample(image_1d, sampler_reg, tc.x);
    let s2d = textureSample(image_2d, sampler_reg, tc);
    let s2d_offset = textureSample(image_2d, sampler_reg, tc, vec2<i32>(3, 1));
    let s2d_level = textureSampleLevel(image_2d, sampler_reg, tc, 2.299999952316284);
    let s2d_level_offset = textureSampleLevel(image_2d, sampler_reg, tc, 2.299999952316284, vec2<i32>(3, 1));
    let s2d_bias_offset = textureSampleBias(image_2d, sampler_reg, tc, 2.0, vec2<i32>(3, 1));
    return ((((s1d + s2d) + s2d_offset) + s2d_level) + s2d_level_offset);
}

@fragment 
fn texture_sample_comparison() -> @location(0) f32 {
    let tc_1 = vec2<f32>(0.5);
    let s2d_depth = textureSampleCompare(image_2d_depth, sampler_cmp, tc_1, 0.5);
    let s2d_depth_level = textureSampleCompareLevel(image_2d_depth, sampler_cmp, tc_1, 0.5);
    let scube_depth_level = textureSampleCompareLevel(image_cube_depth, sampler_cmp, vec3<f32>(0.5), 0.5);
    return (s2d_depth + s2d_depth_level);
}

@fragment 
fn gather() -> @location(0) vec4<f32> {
    let tc_2 = vec2<f32>(0.5);
    let s2d_1 = textureGather(1, image_2d, sampler_reg, tc_2);
    let s2d_offset_1 = textureGather(3, image_2d, sampler_reg, tc_2, vec2<i32>(3, 1));
    let s2d_depth_1 = textureGatherCompare(image_2d_depth, sampler_cmp, tc_2, 0.5);
    let s2d_depth_offset = textureGatherCompare(image_2d_depth, sampler_cmp, tc_2, 0.5, vec2<i32>(3, 1));
    return (((s2d_1 + s2d_offset_1) + s2d_depth_1) + s2d_depth_offset);
}

@fragment 
fn depth_no_comparison() -> @location(0) vec4<f32> {
    let tc_3 = vec2<f32>(0.5);
    let s2d_2 = textureSample(image_2d_depth, sampler_reg, tc_3);
    let s2d_gather = textureGather(image_2d_depth, sampler_reg, tc_3);
    return (vec4<f32>(s2d_2) + s2d_gather);
}


================================================
FILE: lib/naga/tests/out/wgsl/images-frag.wgsl
================================================
@group(0) @binding(0) 
var img1D: texture_storage_1d<rgba8unorm,read_write>;
@group(0) @binding(1) 
var img2D: texture_storage_2d<rgba8unorm,read_write>;
@group(0) @binding(2) 
var img3D: texture_storage_3d<rgba8unorm,read_write>;
@group(0) @binding(4) 
var img1DArray: texture_storage_1d_array<rgba8unorm,read_write>;
@group(0) @binding(5) 
var img2DArray: texture_storage_2d_array<rgba8unorm,read_write>;
@group(0) @binding(7) 
var imgReadOnly: texture_storage_2d<rgba8unorm,read>;
@group(0) @binding(8) 
var imgWriteOnly: texture_storage_2d<rgba8unorm,write>;
@group(0) @binding(9) 
var imgWriteReadOnly: texture_storage_2d<rgba8unorm,write>;

fn testImg1D(coord: i32) {
    var coord_1: i32;
    var size: i32;
    var c: vec4<f32>;

    coord_1 = coord;
    let _e10 = textureDimensions(img1D);
    size = _e10;
    _ = coord_1;
    _ = vec4<f32>(f32(2));
    let _e16 = coord_1;
    textureStore(img1D, _e16, vec4<f32>(f32(2)));
    _ = coord_1;
    let _e21 = coord_1;
    let _e22 = textureLoad(img1D, _e21);
    c = _e22;
    return;
}

fn testImg1DArray(coord_2: vec2<i32>) {
    var coord_3: vec2<i32>;
    var size_1: vec2<f32>;
    var c_1: vec4<f32>;

    coord_3 = coord_2;
    let _e10 = textureDimensions(img1DArray);
    let _e11 = textureNumLayers(img1DArray);
    size_1 = vec2<f32>(vec2<i32>(_e10, _e11));
    _ = coord_3;
    let _e16 = coord_3;
    let _e19 = textureLoad(img1DArray, _e16.x, _e16.y);
    c_1 = _e19;
    _ = coord_3;
    _ = vec4<f32>(f32(2));
    let _e25 = coord_3;
    textureStore(img1DArray, _e25.x, _e25.y, vec4<f32>(f32(2)));
    return;
}

fn testImg2D(coord_4: vec2<i32>) {
    var coord_5: vec2<i32>;
    var size_2: vec2<f32>;
    var c_2: vec4<f32>;

    coord_5 = coord_4;
    let _e10 = textureDimensions(img2D);
    size_2 = vec2<f32>(_e10);
    _ = coord_5;
    let _e14 = coord_5;
    let _e15 = textureLoad(img2D, _e14);
    c_2 = _e15;
    _ = coord_5;
    _ = vec4<f32>(f32(2));
    let _e21 = coord_5;
    textureStore(img2D, _e21, vec4<f32>(f32(2)));
    return;
}

fn testImg2DArray(coord_6: vec3<i32>) {
    var coord_7: vec3<i32>;
    var size_3: vec3<f32>;
    var c_3: vec4<f32>;

    coord_7 = coord_6;
    let _e10 = textureDimensions(img2DArray);
    let _e13 = textureNumLayers(img2DArray);
    size_3 = vec3<f32>(vec3<i32>(_e10.x, _e10.y, _e13));
    _ = coord_7;
    let _e18 = coord_7;
    let _e21 = textureLoad(img2DArray, _e18.xy, _e18.z);
    c_3 = _e21;
    _ = coord_7;
    _ = vec4<f32>(f32(2));
    let _e27 = coord_7;
    textureStore(img2DArray, _e27.xy, _e27.z, vec4<f32>(f32(2)));
    return;
}

fn testImg3D(coord_8: vec3<i32>) {
    var coord_9: vec3<i32>;
    var size_4: vec3<f32>;
    var c_4: vec4<f32>;

    coord_9 = coord_8;
    let _e10 = textureDimensions(img3D);
    size_4 = vec3<f32>(_e10);
    _ = coord_9;
    let _e14 = coord_9;
    let _e15 = textureLoad(img3D, _e14);
    c_4 = _e15;
    _ = coord_9;
    _ = vec4<f32>(f32(2));
    let _e21 = coord_9;
    textureStore(img3D, _e21, vec4<f32>(f32(2)));
    return;
}

fn testImgReadOnly(coord_10: vec2<i32>) {
    var coord_11: vec2<i32>;
    var size_5: vec2<f32>;
    var c_5: vec4<f32>;

    coord_11 = coord_10;
    let _e10 = textureDimensions(img2D);
    size_5 = vec2<f32>(_e10);
    _ = coord_11;
    let _e14 = coord_11;
    let _e15 = textureLoad(imgReadOnly, _e14);
    c_5 = _e15;
    return;
}

fn testImgWriteOnly(coord_12: vec2<i32>) {
    var coord_13: vec2<i32>;
    var size_6: vec2<f32>;

    coord_13 = coord_12;
    let _e10 = textureDimensions(img2D);
    size_6 = vec2<f32>(_e10);
    _ = coord_13;
    _ = vec4<f32>(f32(2));
    let _e17 = coord_13;
    textureStore(imgWriteOnly, _e17, vec4<f32>(f32(2)));
    return;
}

fn testImgWriteReadOnly(coord_14: vec2<i32>) {
    var coord_15: vec2<i32>;
    var size_7: vec2<f32>;

    coord_15 = coord_14;
    let _e10 = textureDimensions(imgWriteReadOnly);
    size_7 = vec2<f32>(_e10);
    return;
}

fn main_1() {
    return;
}

@fragment 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/interface.wgsl
================================================
struct VertexOutput {
    @builtin(position) @invariant position: vec4<f32>,
    @location(1) _varying: f32,
}

struct FragmentOutput {
    @builtin(frag_depth) depth: f32,
    @builtin(sample_mask) sample_mask: u32,
    @location(0) color: f32,
}

struct Input1_ {
    @builtin(vertex_index) index: u32,
}

struct Input2_ {
    @builtin(instance_index) index: u32,
}

var<workgroup> output: array<u32,1>;

@vertex 
fn vertex(@builtin(vertex_index) vertex_index: u32, @builtin(instance_index) instance_index: u32, @location(10) color: u32) -> VertexOutput {
    let tmp: u32 = ((vertex_index + instance_index) + color);
    return VertexOutput(vec4<f32>(1.0), f32(tmp));
}

@fragment 
fn fragment(in: VertexOutput, @builtin(front_facing) front_facing: bool, @builtin(sample_index) sample_index: u32, @builtin(sample_mask) sample_mask: u32) -> FragmentOutput {
    let mask: u32 = (sample_mask & (1u << sample_index));
    let color_1: f32 = select(0.0, 1.0, front_facing);
    return FragmentOutput(in._varying, mask, color_1);
}

@compute @workgroup_size(1, 1, 1) 
fn compute(@builtin(global_invocation_id) global_id: vec3<u32>, @builtin(local_invocation_id) local_id: vec3<u32>, @builtin(local_invocation_index) local_index: u32, @builtin(workgroup_id) wg_id: vec3<u32>, @builtin(num_workgroups) num_wgs: vec3<u32>) {
    output[0] = ((((global_id.x + local_id.x) + local_index) + wg_id.x) + num_wgs.x);
    return;
}

@vertex 
fn vertex_two_structs(in1_: Input1_, in2_: Input2_) -> @builtin(position) @invariant vec4<f32> {
    var index: u32 = 2u;

    let _e9: u32 = index;
    return vec4<f32>(f32(in1_.index), f32(in2_.index), f32(_e9), 0.0);
}


================================================
FILE: lib/naga/tests/out/wgsl/interpolate.wgsl
================================================
struct FragmentInput {
    @builtin(position) position: vec4<f32>,
    @location(0) _flat: u32,
    @location(1) @interpolate(linear) _linear: f32,
    @location(2) @interpolate(linear, centroid) linear_centroid: vec2<f32>,
    @location(3) @interpolate(linear, sample) linear_sample: vec3<f32>,
    @location(4) perspective: vec4<f32>,
    @location(5) @interpolate(perspective, centroid) perspective_centroid: f32,
    @location(6) @interpolate(perspective, sample) perspective_sample: f32,
}

@vertex 
fn vert_main() -> FragmentInput {
    var out: FragmentInput;

    out.position = vec4<f32>(2.0, 4.0, 5.0, 6.0);
    out._flat = 8u;
    out._linear = 27.0;
    out.linear_centroid = vec2<f32>(64.0, 125.0);
    out.linear_sample = vec3<f32>(216.0, 343.0, 512.0);
    out.perspective = vec4<f32>(729.0, 1000.0, 1331.0, 1728.0);
    out.perspective_centroid = 2197.0;
    out.perspective_sample = 2744.0;
    let _e30 = out;
    return _e30;
}

@fragment 
fn frag_main(val: FragmentInput) {
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/inv-hyperbolic-trig-functions.wgsl
================================================
var<private> a: f32;

fn main_1() {
    var b: f32;
    var c: f32;
    var d: f32;

    let _e8 = a;
    b = log(_e8 + sqrt(_e8 * _e8 + 1.0));
    let _e10 = a;
    c = log(_e10 + sqrt(_e10 * _e10 - 1.0));
    let _e12 = a;
    d = 0.5 * log((1.0 + _e12) / (1.0 - _e12));
    return;
}

@vertex 
fn main() {
    main_1();
}


================================================
FILE: lib/naga/tests/out/wgsl/lexical-scopes.wgsl
================================================
fn blockLexicalScope(a: bool) {
    {
        {
        }
        let test = (2 == 3);
    }
    let test_1 = (1.0 == 2.0);
}

fn ifLexicalScope(a_1: bool) {
    if (1.0 == 1.0) {
    }
    let test_2 = (1.0 == 2.0);
}

fn loopLexicalScope(a_2: bool) {
    loop {
    }
    let test_3 = (1.0 == 2.0);
}

fn forLexicalScope(a_3: f32) {
    var a_4: i32 = 0;

    loop {
        let _e4 = a_4;
        if (_e4 < 1) {
        } else {
            break;
        }
        continuing {
            let _e7 = a_4;
            a_4 = (_e7 + 1);
        }
    }
    let test_4 = (false == true);
}

fn whileLexicalScope(a_5: i32) {
    loop {
        if (a_5 > 2) {
        } else {
            break;
        }
    }
    let test_5 = (a_5 == 1);
}

fn switchLexicalScope(a_6: i32) {
    switch a_6 {
        case 0: {
        }
        case 1: {
        }
        default: {
        }
    }
    let test_6 = (a_6 == 2);
}



================================================
FILE: lib/naga/tests/out/wgsl/long-form-matrix-vert.wgsl
================================================
fn main_1() {
    var splat: mat2x2<f32>;
    var normal: mat2x2<f32>;
    var from_matrix: mat2x4<f32>;
    var a: mat2x2<f32>;
    var b: mat2x2<f32>;
    var c: mat3x3<f32>;
    var d: mat3x3<f32>;
    var e: mat4x4<f32>;

    let _e1 = f32(1);
    splat = mat2x2<f32>(vec2<f32>(_e1, 0.0), vec2<f32>(0.0, _e1));
    let _e9 = vec2<f32>(f32(1));
    let _e12 = vec2<f32>(f32(2));
    normal = mat2x2<f32>(vec2<f32>(_e9.x, _e9.y), vec2<f32>(_e12.x, _e12.y));
    let _e26 = mat3x3<f32>(vec3<f32>(1.0, 0.0, 0.0), vec3<f32>(0.0, 1.0, 0.0), vec3<f32>(0.0, 0.0, 1.0));
    from_matrix = mat2x4<f32>(vec4<f32>(_e26[0].x, _e26[0].y, _e26[0].z, 0.0), vec4<f32>(_e26[1].x, _e26[1].y, _e26[1].z, 0.0));
    a = mat2x2<f32>(vec2<f32>(f32(1), f32(2)), vec2<f32>(f32(3), f32(4)));
    let _e58 = vec2<f32>(f32(2), f32(3));
    b = mat2x2<f32>(vec2<f32>(f32(1), _e58.x), vec2<f32>(_e58.y, f32(4)));
    let _e73 = vec3<f32>(f32(1));
    let _e76 = vec3<f32>(f32(1));
    c = mat3x3<f32>(vec3<f32>(f32(1), f32(2), f32(3)), vec3<f32>(_e73.x, _e73.y, _e73.z), vec3<f32>(_e76.x, _e76.y, _e76.z));
    let _e93 = vec2<f32>(f32(2));
    let _e97 = vec3<f32>(f32(1));
    let _e100 = vec3<f32>(f32(1));
    d = mat3x3<f32>(vec3<f32>(_e93.x, _e93.y, f32(1)), vec3<f32>(_e97.x, _e97.y, _e97.z), vec3<f32>(_e100.x, _e100.y, _e100.z));
    let _e117 = vec2<f32>(f32(2));
    let _e120 = vec4<f32>(f32(1));
    let _e123 = vec2<f32>(f32(2));
    let _e126 = vec4<f32>(f32(1));
    let _e129 = vec4<f32>(f32(1));
    e = mat4x4<f32>(vec4<f32>(_e117.x, _e117.y, _e120.x, _e120.y), vec4<f32>(_e120.z, _e120.w, _e123.x, _e123.y), vec4<f32>(_e126.x, _e126.y, _e126.z, _e126.w), vec4<f32>(_e129.x, _e129.y, _e129.z, _e129.w));
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/math-functions-vert.wgsl
================================================
fn main_1() {
    var a: vec4<f32>;
    var b: vec4<f32>;
    var m: mat4x4<f32>;
    var i: i32;
    var ceilOut: vec4<f32>;
    var roundOut: vec4<f32>;
    var floorOut: vec4<f32>;
    var fractOut: vec4<f32>;
    var truncOut: vec4<f32>;
    var sinOut: vec4<f32>;
    var absOut: vec4<f32>;
    var sqrtOut: vec4<f32>;
    var inversesqrtOut: vec4<f32>;
    var expOut: vec4<f32>;
    var exp2Out: vec4<f32>;
    var signOut: vec4<f32>;
    var transposeOut: mat4x4<f32>;
    var normalizeOut: vec4<f32>;
    var sinhOut: vec4<f32>;
    var cosOut: vec4<f32>;
    var coshOut: vec4<f32>;
    var tanOut: vec4<f32>;
    var tanhOut: vec4<f32>;
    var acosOut: vec4<f32>;
    var asinOut: vec4<f32>;
    var logOut: vec4<f32>;
    var log2Out: vec4<f32>;
    var lengthOut: f32;
    var determinantOut: f32;
    var bitCountOut: i32;
    var bitfieldReverseOut: i32;
    var atanOut: f32;
    var atan2Out: f32;
    var modOut: f32;
    var powOut: vec4<f32>;
    var dotOut: f32;
    var maxOut: vec4<f32>;
    var minOut: vec4<f32>;
    var reflectOut: vec4<f32>;
    var crossOut: vec3<f32>;
    var outerProductOut: mat4x4<f32>;
    var distanceOut: f32;
    var stepOut: vec4<f32>;
    var rad: vec4<f32>;
    var deg: f32;
    var smoothStepScalar: f32;
    var smoothStepVector: vec4<f32>;
    var smoothStepMixed: vec4<f32>;

    a = vec4<f32>(1.0);
    b = vec4<f32>(2.0);
    let _e6 = a;
    let _e7 = b;
    let _e8 = a;
    let _e9 = b;
    m = mat4x4<f32>(vec4<f32>(_e6.x, _e6.y, _e6.z, _e6.w), vec4<f32>(_e7.x, _e7.y, _e7.z, _e7.w), vec4<f32>(_e8.x, _e8.y, _e8.z, _e8.w), vec4<f32>(_e9.x, _e9.y, _e9.z, _e9.w));
    i = 5;
    _ = a;
    let _e35 = a;
    ceilOut = ceil(_e35);
    _ = a;
    let _e39 = a;
    roundOut = round(_e39);
    _ = a;
    let _e43 = a;
    floorOut = floor(_e43);
    _ = a;
    let _e47 = a;
    fractOut = fract(_e47);
    _ = a;
    let _e51 = a;
    truncOut = trunc(_e51);
    _ = a;
    let _e55 = a;
    sinOut = sin(_e55);
    _ = a;
    let _e59 = a;
    absOut = abs(_e59);
    _ = a;
    let _e63 = a;
    sqrtOut = sqrt(_e63);
    _ = a;
    let _e67 = a;
    inversesqrtOut = inverseSqrt(_e67);
    _ = a;
    let _e71 = a;
    expOut = exp(_e71);
    _ = a;
    let _e75 = a;
    exp2Out = exp2(_e75);
    _ = a;
    let _e79 = a;
    signOut = sign(_e79);
    _ = m;
    let _e83 = m;
    transposeOut = transpose(_e83);
    _ = a;
    let _e87 = a;
    normalizeOut = normalize(_e87);
    _ = a;
    let _e91 = a;
    sinhOut = sinh(_e91);
    _ = a;
    let _e95 = a;
    cosOut = cos(_e95);
    _ = a;
    let _e99 = a;
    coshOut = cosh(_e99);
    _ = a;
    let _e103 = a;
    tanOut = tan(_e103);
    _ = a;
    let _e107 = a;
    tanhOut = tanh(_e107);
    _ = a;
    let _e111 = a;
    acosOut = acos(_e111);
    _ = a;
    let _e115 = a;
    asinOut = asin(_e115);
    _ = a;
    let _e119 = a;
    logOut = log(_e119);
    _ = a;
    let _e123 = a;
    log2Out = log2(_e123);
    _ = a;
    let _e127 = a;
    lengthOut = length(_e127);
    _ = m;
    let _e131 = m;
    determinantOut = determinant(_e131);
    _ = i;
    let _e135 = i;
    bitCountOut = countOneBits(_e135);
    _ = i;
    let _e139 = i;
    bitfieldReverseOut = reverseBits(_e139);
    let _e142 = a;
    _ = _e142.x;
    let _e144 = a;
    atanOut = atan(_e144.x);
    let _e148 = a;
    _ = _e148.x;
    let _e150 = a;
    _ = _e150.y;
    let _e152 = a;
    let _e154 = a;
    atan2Out = atan2(_e152.x, _e154.y);
    let _e158 = a;
    _ = _e158.x;
    let _e160 = b;
    _ = _e160.x;
    let _e162 = a;
    let _e164 = b;
    modOut = (_e162.x - (floor((_e162.x / _e164.x)) * _e164.x));
    _ = a;
    _ = b;
    let _e173 = a;
    let _e174 = b;
    powOut = pow(_e173, _e174);
    _ = a;
    _ = b;
    let _e179 = a;
    let _e180 = b;
    dotOut = dot(_e179, _e180);
    _ = a;
    _ = b;
    let _e185 = a;
    let _e186 = b;
    maxOut = max(_e185, _e186);
    _ = a;
    _ = b;
    let _e191 = a;
    let _e192 = b;
    minOut = min(_e191, _e192);
    _ = a;
    _ = b;
    let _e197 = a;
    let _e198 = b;
    reflectOut = reflect(_e197, _e198);
    let _e201 = a;
    _ = _e201.xyz;
    let _e203 = b;
    _ = _e203.xyz;
    let _e205 = a;
    let _e207 = b;
    crossOut = cross(_e205.xyz, _e207.xyz);
    _ = a;
    _ = b;
    let _e213 = a;
    let _e214 = b;
    outerProductOut = outerProduct(_e213, _e214);
    _ = a;
    _ = b;
    let _e219 = a;
    let _e220 = b;
    distanceOut = distance(_e219, _e220);
    _ = a;
    _ = b;
    let _e225 = a;
    let _e226 = b;
    stepOut = step(_e225, _e226);
    _ = a;
    let _e230 = a;
    rad = radians(_e230);
    let _e233 = a;
    _ = _e233.x;
    let _e235 = a;
    deg = degrees(_e235.x);
    smoothStepScalar = smoothstep(0.0, 1.0, 0.5);
    _ = vec4<f32>(0.0);
    _ = vec4<f32>(1.0);
    _ = vec4<f32>(0.5);
    smoothStepVector = smoothstep(vec4<f32>(0.0), vec4<f32>(1.0), vec4<f32>(0.5));
    _ = vec4<f32>(0.5);
    smoothStepMixed = smoothstep(vec4<f32>(0.0), vec4<f32>(1.0), vec4<f32>(0.5));
    return;
}

@vertex 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/math-functions.wgsl
================================================
@vertex 
fn main() {
    let v = vec4<f32>(0.0);
    let a = degrees(1.0);
    let b = radians(1.0);
    let c = degrees(v);
    let d = radians(v);
    let e = saturate(v);
    let const_dot = dot(vec2<i32>(0, 0), vec2<i32>(0, 0));
    let first_leading_bit_abs = firstLeadingBit(abs(0u));
}


================================================
FILE: lib/naga/tests/out/wgsl/multiview.wgsl
================================================
@vertex 
fn main(@builtin(view_index) view_index: i32) {
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/operators.wgsl
================================================
struct Foo {
    a: vec4<f32>,
    b: i32,
}

let v_f32_one: vec4<f32> = vec4<f32>(1.0, 1.0, 1.0, 1.0);
let v_f32_zero: vec4<f32> = vec4<f32>(0.0, 0.0, 0.0, 0.0);
let v_f32_half: vec4<f32> = vec4<f32>(0.5, 0.5, 0.5, 0.5);
let v_i32_one: vec4<i32> = vec4<i32>(1, 1, 1, 1);
fn builtins() -> vec4<f32> {
    let s1_ = select(0, 1, true);
    let s2_ = select(vec4<f32>(0.0, 0.0, 0.0, 0.0), vec4<f32>(1.0, 1.0, 1.0, 1.0), true);
    let s3_ = select(vec4<f32>(1.0, 1.0, 1.0, 1.0), vec4<f32>(0.0, 0.0, 0.0, 0.0), vec4<bool>(false, false, false, false));
    let m1_ = mix(vec4<f32>(0.0, 0.0, 0.0, 0.0), vec4<f32>(1.0, 1.0, 1.0, 1.0), vec4<f32>(0.5, 0.5, 0.5, 0.5));
    let m2_ = mix(vec4<f32>(0.0, 0.0, 0.0, 0.0), vec4<f32>(1.0, 1.0, 1.0, 1.0), 0.10000000149011612);
    let b1_ = bitcast<f32>(vec4<i32>(1, 1, 1, 1).x);
    let b2_ = bitcast<vec4<f32>>(vec4<i32>(1, 1, 1, 1));
    let v_i32_zero = vec4<i32>(vec4<f32>(0.0, 0.0, 0.0, 0.0));
    return (((((vec4<f32>((vec4<i32>(s1_) + v_i32_zero)) + s2_) + m1_) + m2_) + vec4<f32>(b1_)) + b2_);
}

fn splat() -> vec4<f32> {
    let a_2 = (((vec2<f32>(1.0) + vec2<f32>(2.0)) - vec2<f32>(3.0)) / vec2<f32>(4.0));
    let b = (vec4<i32>(5) % vec4<i32>(2));
    return (a_2.xyxy + vec4<f32>(b));
}

fn splat_assignment() -> vec2<f32> {
    var a: vec2<f32>;

    a = vec2<f32>(2.0);
    let _e7 = a;
    a = (_e7 + vec2<f32>(1.0));
    let _e11 = a;
    a = (_e11 - vec2<f32>(3.0));
    let _e15 = a;
    a = (_e15 / vec2<f32>(4.0));
    let _e19 = a;
    return _e19;
}

fn bool_cast(x: vec3<f32>) -> vec3<f32> {
    let y = vec3<bool>(x);
    return vec3<f32>(y);
}

fn constructors() -> f32 {
    var foo: Foo;

    foo = Foo(vec4<f32>(1.0), 1);
    let mat2comp = mat2x2<f32>(vec2<f32>(1.0, 0.0), vec2<f32>(0.0, 1.0));
    let mat4comp = mat4x4<f32>(vec4<f32>(1.0, 0.0, 0.0, 0.0), vec4<f32>(0.0, 1.0, 0.0, 0.0), vec4<f32>(0.0, 0.0, 1.0, 0.0), vec4<f32>(0.0, 0.0, 0.0, 1.0));
    _ = vec2<u32>(0u);
    _ = mat2x2<f32>(vec2<f32>(0.0), vec2<f32>(0.0));
    _ = array<i32,4u>(0, 1, 2, 3);
    _ = bool(false);
    _ = i32(0);
    _ = u32(0u);
    _ = f32(0.0);
    _ = vec2<u32>(vec2<u32>(0u, 0u));
    _ = mat2x3<f32>(mat2x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)));
    _ = bitcast<vec2<u32>>(vec2<u32>(0u, 0u));
    _ = mat2x3<f32>(mat2x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)));
    let _e75 = foo.a.x;
    return _e75;
}

fn logical() {
    _ = !(true);
    _ = !(vec2<bool>(true));
    _ = (true || false);
    _ = (true && false);
    _ = (true | false);
    _ = (vec3<bool>(true) | vec3<bool>(false));
    _ = (true & false);
    _ = (vec4<bool>(true) & vec4<bool>(false));
}

fn arithmetic() {
    _ = -(vec2<i32>(1));
    _ = -(vec2<f32>(1.0));
    _ = (2 + 1);
    _ = (2u + 1u);
    _ = (2.0 + 1.0);
    _ = (vec2<i32>(2) + vec2<i32>(1));
    _ = (vec3<u32>(2u) + vec3<u32>(1u));
    _ = (vec4<f32>(2.0) + vec4<f32>(1.0));
    _ = (2 - 1);
    _ = (2u - 1u);
    _ = (2.0 - 1.0);
    _ = (vec2<i32>(2) - vec2<i32>(1));
    _ = (vec3<u32>(2u) - vec3<u32>(1u));
    _ = (vec4<f32>(2.0) - vec4<f32>(1.0));
    _ = (2 * 1);
    _ = (2u * 1u);
    _ = (2.0 * 1.0);
    _ = (vec2<i32>(2) * vec2<i32>(1));
    _ = (vec3<u32>(2u) * vec3<u32>(1u));
    _ = (vec4<f32>(2.0) * vec4<f32>(1.0));
    _ = (2 / 1);
    _ = (2u / 1u);
    _ = (2.0 / 1.0);
    _ = (vec2<i32>(2) / vec2<i32>(1));
    _ = (vec3<u32>(2u) / vec3<u32>(1u));
    _ = (vec4<f32>(2.0) / vec4<f32>(1.0));
    _ = (2 % 1);
    _ = (2u % 1u);
    _ = (2.0 % 1.0);
    _ = (vec2<i32>(2) % vec2<i32>(1));
    _ = (vec3<u32>(2u) % vec3<u32>(1u));
    _ = (vec4<f32>(2.0) % vec4<f32>(1.0));
    _ = (vec2<i32>(2) + vec2<i32>(1));
    _ = (vec2<i32>(2) + vec2<i32>(1));
    _ = (vec2<u32>(2u) + vec2<u32>(1u));
    _ = (vec2<u32>(2u) + vec2<u32>(1u));
    _ = (vec2<f32>(2.0) + vec2<f32>(1.0));
    _ = (vec2<f32>(2.0) + vec2<f32>(1.0));
    _ = (vec2<i32>(2) - vec2<i32>(1));
    _ = (vec2<i32>(2) - vec2<i32>(1));
    _ = (vec2<u32>(2u) - vec2<u32>(1u));
    _ = (vec2<u32>(2u) - vec2<u32>(1u));
    _ = (vec2<f32>(2.0) - vec2<f32>(1.0));
    _ = (vec2<f32>(2.0) - vec2<f32>(1.0));
    _ = (vec2<i32>(2) * 1);
    _ = (2 * vec2<i32>(1));
    _ = (vec2<u32>(2u) * 1u);
    _ = (2u * vec2<u32>(1u));
    _ = (vec2<f32>(2.0) * 1.0);
    _ = (2.0 * vec2<f32>(1.0));
    _ = (vec2<i32>(2) / vec2<i32>(1));
    _ = (vec2<i32>(2) / vec2<i32>(1));
    _ = (vec2<u32>(2u) / vec2<u32>(1u));
    _ = (vec2<u32>(2u) / vec2<u32>(1u));
    _ = (vec2<f32>(2.0) / vec2<f32>(1.0));
    _ = (vec2<f32>(2.0) / vec2<f32>(1.0));
    _ = (vec2<i32>(2) % vec2<i32>(1));
    _ = (vec2<i32>(2) % vec2<i32>(1));
    _ = (vec2<u32>(2u) % vec2<u32>(1u));
    _ = (vec2<u32>(2u) % vec2<u32>(1u));
    _ = (vec2<f32>(2.0) % vec2<f32>(1.0));
    _ = (vec2<f32>(2.0) % vec2<f32>(1.0));
    _ = (mat3x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)) + mat3x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)));
    _ = (mat3x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)) - mat3x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)));
    _ = (mat3x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)) * 1.0);
    _ = (2.0 * mat3x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)));
    _ = (mat4x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)) * vec4<f32>(1.0));
    _ = (vec3<f32>(2.0) * mat4x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)));
    _ = (mat4x3<f32>(vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0), vec3<f32>(0.0, 0.0, 0.0)) * mat3x4<f32>(vec4<f32>(0.0, 0.0, 0.0, 0.0), vec4<f32>(0.0, 0.0, 0.0, 0.0), vec4<f32>(0.0, 0.0, 0.0, 0.0)));
}

fn bit() {
    _ = ~(1);
    _ = ~(1u);
    _ = !(vec2<i32>(1));
    _ = !(vec3<u32>(1u));
    _ = (2 | 1);
    _ = (2u | 1u);
    _ = (vec2<i32>(2) | vec2<i32>(1));
    _ = (vec3<u32>(2u) | vec3<u32>(1u));
    _ = (2 & 1);
    _ = (2u & 1u);
    _ = (vec2<i32>(2) & vec2<i32>(1));
    _ = (vec3<u32>(2u) & vec3<u32>(1u));
    _ = (2 ^ 1);
    _ = (2u ^ 1u);
    _ = (vec2<i32>(2) ^ vec2<i32>(1));
    _ = (vec3<u32>(2u) ^ vec3<u32>(1u));
    _ = (2 << 1u);
    _ = (2u << 1u);
    _ = (vec2<i32>(2) << vec2<u32>(1u));
    _ = (vec3<u32>(2u) << vec3<u32>(1u));
    _ = (2 >> 1u);
    _ = (2u >> 1u);
    _ = (vec2<i32>(2) >> vec2<u32>(1u));
    _ = (vec3<u32>(2u) >> vec3<u32>(1u));
}

fn comparison() {
    _ = (2 == 1);
    _ = (2u == 1u);
    _ = (2.0 == 1.0);
    _ = (vec2<i32>(2) == vec2<i32>(1));
    _ = (vec3<u32>(2u) == vec3<u32>(1u));
    _ = (vec4<f32>(2.0) == vec4<f32>(1.0));
    _ = (2 != 1);
    _ = (2u != 1u);
    _ = (2.0 != 1.0);
    _ = (vec2<i32>(2) != vec2<i32>(1));
    _ = (vec3<u32>(2u) != vec3<u32>(1u));
    _ = (vec4<f32>(2.0) != vec4<f32>(1.0));
    _ = (2 < 1);
    _ = (2u < 1u);
    _ = (2.0 < 1.0);
    _ = (vec2<i32>(2) < vec2<i32>(1));
    _ = (vec3<u32>(2u) < vec3<u32>(1u));
    _ = (vec4<f32>(2.0) < vec4<f32>(1.0));
    _ = (2 <= 1);
    _ = (2u <= 1u);
    _ = (2.0 <= 1.0);
    _ = (vec2<i32>(2) <= vec2<i32>(1));
    _ = (vec3<u32>(2u) <= vec3<u32>(1u));
    _ = (vec4<f32>(2.0) <= vec4<f32>(1.0));
    _ = (2 > 1);
    _ = (2u > 1u);
    _ = (2.0 > 1.0);
    _ = (vec2<i32>(2) > vec2<i32>(1));
    _ = (vec3<u32>(2u) > vec3<u32>(1u));
    _ = (vec4<f32>(2.0) > vec4<f32>(1.0));
    _ = (2 >= 1);
    _ = (2u >= 1u);
    _ = (2.0 >= 1.0);
    _ = (vec2<i32>(2) >= vec2<i32>(1));
    _ = (vec3<u32>(2u) >= vec3<u32>(1u));
    _ = (vec4<f32>(2.0) >= vec4<f32>(1.0));
}

fn assignment() {
    var a_1: i32 = 1;
    var vec0_: vec3<i32> = vec3<i32>(0, 0, 0);

    let _e6 = a_1;
    a_1 = (_e6 + 1);
    let _e9 = a_1;
    a_1 = (_e9 - 1);
    let _e12 = a_1;
    let _e13 = a_1;
    a_1 = (_e12 * _e13);
    let _e15 = a_1;
    let _e16 = a_1;
    a_1 = (_e15 / _e16);
    let _e18 = a_1;
    a_1 = (_e18 % 1);
    let _e21 = a_1;
    a_1 = (_e21 & 0);
    let _e24 = a_1;
    a_1 = (_e24 | 0);
    let _e27 = a_1;
    a_1 = (_e27 ^ 0);
    let _e30 = a_1;
    a_1 = (_e30 << 2u);
    let _e33 = a_1;
    a_1 = (_e33 >> 1u);
    let _e36 = a_1;
    a_1 = (_e36 + 1);
    let _e39 = a_1;
    a_1 = (_e39 - 1);
    let _e46 = vec0_.y;
    vec0_.y = (_e46 + 1);
    let _e51 = vec0_.y;
    vec0_.y = (_e51 - 1);
    return;
}

@compute @workgroup_size(1, 1, 1) 
fn main() {
    let _e4 = builtins();
    let _e5 = splat();
    let _e7 = bool_cast(vec4<f32>(1.0, 1.0, 1.0, 1.0).xyz);
    let _e8 = constructors();
    logical();
    arithmetic();
    bit();
    comparison();
    assignment();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/padding.wgsl
================================================
struct S {
    a: vec3<f32>,
}

struct Test {
    a: S,
    b: f32,
}

struct Test2_ {
    a: array<vec3<f32>,2>,
    b: f32,
}

struct Test3_ {
    a: mat4x3<f32>,
    b: f32,
}

@group(0) @binding(0) 
var<uniform> input1_: Test;
@group(0) @binding(1) 
var<uniform> input2_: Test2_;
@group(0) @binding(2) 
var<uniform> input3_: Test3_;

@vertex 
fn vertex() -> @builtin(position) vec4<f32> {
    let _e6 = input1_.b;
    let _e9 = input2_.b;
    let _e12 = input3_.b;
    return (((vec4<f32>(1.0) * _e6) * _e9) * _e12);
}


================================================
FILE: lib/naga/tests/out/wgsl/pointers.wgsl
================================================
struct DynamicArray {
    arr: array<u32>,
}

@group(0) @binding(0) 
var<storage, read_write> dynamic_array: DynamicArray;

fn f() {
    var v: vec2<i32>;

    let px = (&v.x);
    (*px) = 10;
    return;
}

fn index_unsized(i: i32, v_1: u32) {
    let val = dynamic_array.arr[i];
    dynamic_array.arr[i] = (val + v_1);
    return;
}

fn index_dynamic_array(i_1: i32, v_2: u32) {
    let p = (&dynamic_array.arr);
    let val_1 = (*p)[i_1];
    (*p)[i_1] = (val_1 + v_2);
    return;
}



================================================
FILE: lib/naga/tests/out/wgsl/prepostfix-frag.wgsl
================================================
fn main_1() {
    var scalar_target: i32;
    var scalar: i32;
    var vec_target: vec2<u32>;
    var vec_: vec2<u32>;
    var mat_target: mat4x3<f32>;
    var mat_: mat4x3<f32>;

    scalar = 1;
    let _e3 = scalar;
    scalar = (_e3 + 1);
    scalar_target = _e3;
    let _e6 = scalar;
    let _e8 = (_e6 - 1);
    scalar = _e8;
    scalar_target = _e8;
    vec_ = vec2<u32>(u32(1));
    let _e14 = vec_;
    vec_ = (_e14 - vec2<u32>(1u));
    vec_target = _e14;
    let _e18 = vec_;
    let _e21 = (_e18 + vec2<u32>(1u));
    vec_ = _e21;
    vec_target = _e21;
    let _e24 = f32(1);
    mat_ = mat4x3<f32>(vec3<f32>(_e24, 0.0, 0.0), vec3<f32>(0.0, _e24, 0.0), vec3<f32>(0.0, 0.0, _e24), vec3<f32>(0.0, 0.0, 0.0));
    let _e32 = mat_;
    let _e34 = vec3<f32>(1.0);
    mat_ = (_e32 + mat4x3<f32>(_e34, _e34, _e34, _e34));
    mat_target = _e32;
    let _e37 = mat_;
    let _e39 = vec3<f32>(1.0);
    let _e41 = (_e37 - mat4x3<f32>(_e39, _e39, _e39, _e39));
    mat_ = _e41;
    mat_target = _e41;
    return;
}

@fragment 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/quad-vert.wgsl
================================================
struct gl_PerVertex {
    @builtin(position) gl_Position: vec4<f32>,
}

struct VertexOutput {
    @location(0) member: vec2<f32>,
    @builtin(position) gl_Position: vec4<f32>,
}

var<private> v_uv: vec2<f32>;
var<private> a_uv_1: vec2<f32>;
var<private> perVertexStruct: gl_PerVertex = gl_PerVertex(vec4<f32>(0.0, 0.0, 0.0, 1.0), );
var<private> a_pos_1: vec2<f32>;

fn main_1() {
    let _e12 = a_uv_1;
    v_uv = _e12;
    let _e13 = a_pos_1;
    perVertexStruct.gl_Position = vec4<f32>(_e13.x, _e13.y, 0.0, 1.0);
    return;
}

@vertex 
fn main(@location(1) a_uv: vec2<f32>, @location(0) a_pos: vec2<f32>) -> VertexOutput {
    a_uv_1 = a_uv;
    a_pos_1 = a_pos;
    main_1();
    let _e7 = v_uv;
    let _e8 = perVertexStruct.gl_Position;
    return VertexOutput(_e7, _e8);
}


================================================
FILE: lib/naga/tests/out/wgsl/quad.wgsl
================================================
struct VertexOutput {
    @location(0) uv: vec2<f32>,
    @builtin(position) position: vec4<f32>,
}

let c_scale: f32 = 1.2000000476837158;

@group(0) @binding(0) 
var u_texture: texture_2d<f32>;
@group(0) @binding(1) 
var u_sampler: sampler;

@vertex 
fn vert_main(@location(0) pos: vec2<f32>, @location(1) uv: vec2<f32>) -> VertexOutput {
    return VertexOutput(uv, vec4<f32>((c_scale * pos), 0.0, 1.0));
}

@fragment 
fn frag_main(@location(0) uv_1: vec2<f32>) -> @location(0) vec4<f32> {
    let color = textureSample(u_texture, u_sampler, uv_1);
    if (color.w == 0.0) {
        discard;
    }
    let premultiplied = (color.w * color);
    return premultiplied;
}

@fragment 
fn fs_extra() -> @location(0) vec4<f32> {
    return vec4<f32>(0.0, 0.5, 0.0, 0.5);
}


================================================
FILE: lib/naga/tests/out/wgsl/quad_glsl-frag.wgsl
================================================
struct FragmentOutput {
    @location(0) o_color: vec4<f32>,
}

var<private> v_uv_1: vec2<f32>;
var<private> o_color: vec4<f32>;

fn main_1() {
    o_color = vec4<f32>(1.0, 1.0, 1.0, 1.0);
    return;
}

@fragment 
fn main(@location(0) v_uv: vec2<f32>) -> FragmentOutput {
    v_uv_1 = v_uv;
    main_1();
    let _e7 = o_color;
    return FragmentOutput(_e7);
}


================================================
FILE: lib/naga/tests/out/wgsl/quad_glsl-vert.wgsl
================================================
struct VertexOutput {
    @location(0) v_uv: vec2<f32>,
    @builtin(position) member: vec4<f32>,
}

var<private> a_pos_1: vec2<f32>;
var<private> a_uv_1: vec2<f32>;
var<private> v_uv: vec2<f32>;
var<private> gl_Position: vec4<f32>;

fn main_1() {
    let _e4 = a_uv_1;
    v_uv = _e4;
    let _e6 = a_pos_1;
    let _e7 = (1.2000000476837158 * _e6);
    gl_Position = vec4<f32>(_e7.x, _e7.y, 0.0, 1.0);
    return;
}

@vertex 
fn main(@location(0) a_pos: vec2<f32>, @location(1) a_uv: vec2<f32>) -> VertexOutput {
    a_pos_1 = a_pos;
    a_uv_1 = a_uv;
    main_1();
    let _e14 = v_uv;
    let _e16 = gl_Position;
    return VertexOutput(_e14, _e16);
}


================================================
FILE: lib/naga/tests/out/wgsl/sampler-functions-frag.wgsl
================================================
fn CalcShadowPCF1_(T_P_t_TextureDepth: texture_depth_2d, S_P_t_TextureDepth: sampler_comparison, t_ProjCoord: vec3<f32>) -> f32 {
    var t_ProjCoord_1: vec3<f32>;
    var t_Res: f32;

    t_ProjCoord_1 = t_ProjCoord;
    t_Res = 0.0;
    let _e6 = t_Res;
    let _e7 = t_ProjCoord_1;
    _ = _e7.xyz;
    let _e9 = t_ProjCoord_1;
    let _e10 = _e9.xyz;
    let _e13 = textureSampleCompare(T_P_t_TextureDepth, S_P_t_TextureDepth, _e10.xy, _e10.z);
    t_Res = (_e6 + (_e13 * (1.0 / 5.0)));
    let _e19 = t_Res;
    return _e19;
}

fn CalcShadowPCF(T_P_t_TextureDepth_1: texture_depth_2d, S_P_t_TextureDepth_1: sampler_comparison, t_ProjCoord_2: vec3<f32>, t_Bias: f32) -> f32 {
    var t_ProjCoord_3: vec3<f32>;
    var t_Bias_1: f32;

    t_ProjCoord_3 = t_ProjCoord_2;
    t_Bias_1 = t_Bias;
    let _e7 = t_ProjCoord_3;
    let _e9 = t_Bias_1;
    t_ProjCoord_3.z = (_e7.z + _e9);
    let _e11 = t_ProjCoord_3;
    _ = _e11.xyz;
    let _e13 = t_ProjCoord_3;
    let _e15 = CalcShadowPCF1_(T_P_t_TextureDepth_1, S_P_t_TextureDepth_1, _e13.xyz);
    return _e15;
}

fn main_1() {
    return;
}

@fragment 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/samplers-frag.wgsl
================================================
@group(1) @binding(0) 
var tex1D: texture_1d<f32>;
@group(1) @binding(1) 
var tex1DArray: texture_1d_array<f32>;
@group(1) @binding(2) 
var tex2D: texture_2d<f32>;
@group(1) @binding(3) 
var tex2DArray: texture_2d_array<f32>;
@group(1) @binding(4) 
var texCube: texture_cube<f32>;
@group(1) @binding(5) 
var texCubeArray: texture_cube_array<f32>;
@group(1) @binding(6) 
var tex3D: texture_3d<f32>;
@group(1) @binding(7) 
var samp: sampler;
@group(1) @binding(12) 
var tex2DShadow: texture_depth_2d;
@group(1) @binding(13) 
var tex2DArrayShadow: texture_depth_2d_array;
@group(1) @binding(14) 
var texCubeShadow: texture_depth_cube;
@group(1) @binding(15) 
var texCubeArrayShadow: texture_depth_cube_array;
@group(1) @binding(16) 
var tex3DShadow: texture_3d<f32>;
@group(1) @binding(17) 
var sampShadow: sampler_comparison;
@group(0) @binding(18) 
var tex2DMS: texture_multisampled_2d<f32>;
@group(0) @binding(19) 
var tex2DMSArray: texture_multisampled_2d_array<f32>;

fn testTex1D(coord: f32) {
    var coord_1: f32;
    var size1D: i32;
    var c: vec4<f32>;

    coord_1 = coord;
    let _e20 = textureDimensions(tex1D, 0);
    size1D = _e20;
    _ = coord_1;
    let _e24 = coord_1;
    let _e25 = textureSample(tex1D, samp, _e24);
    c = _e25;
    _ = coord_1;
    let _e28 = coord_1;
    let _e30 = textureSampleBias(tex1D, samp, _e28, 2.0);
    c = _e30;
    _ = coord_1;
    let _e34 = coord_1;
    let _e37 = textureSampleGrad(tex1D, samp, _e34, 4.0, 4.0);
    c = _e37;
    _ = coord_1;
    let _e42 = coord_1;
    let _e46 = textureSampleGrad(tex1D, samp, _e42, 4.0, 4.0, 5);
    c = _e46;
    _ = coord_1;
    let _e49 = coord_1;
    let _e51 = textureSampleLevel(tex1D, samp, _e49, 3.0);
    c = _e51;
    _ = coord_1;
    let _e55 = coord_1;
    let _e58 = textureSampleLevel(tex1D, samp, _e55, 3.0, 5);
    c = _e58;
    _ = coord_1;
    let _e61 = coord_1;
    let _e63 = textureSample(tex1D, samp, _e61, 5);
    c = _e63;
    _ = coord_1;
    let _e67 = coord_1;
    let _e70 = textureSampleBias(tex1D, samp, _e67, 2.0, 5);
    c = _e70;
    let _e71 = coord_1;
    _ = vec2<f32>(_e71, 6.0);
    let _e74 = coord_1;
    let _e76 = vec2<f32>(_e74, 6.0);
    let _e80 = textureSample(tex1D, samp, (_e76.x / _e76.y));
    c = _e80;
    let _e81 = coord_1;
    _ = vec4<f32>(_e81, 0.0, 0.0, 6.0);
    let _e86 = coord_1;
    let _e90 = vec4<f32>(_e86, 0.0, 0.0, 6.0);
    let _e96 = textureSample(tex1D, samp, (_e90.xyz / vec3<f32>(_e90.w)).x);
    c = _e96;
    let _e97 = coord_1;
    _ = vec2<f32>(_e97, 6.0);
    let _e101 = coord_1;
    let _e103 = vec2<f32>(_e101, 6.0);
    let _e108 = textureSampleBias(tex1D, samp, (_e103.x / _e103.y), 2.0);
    c = _e108;
    let _e109 = coord_1;
    _ = vec4<f32>(_e109, 0.0, 0.0, 6.0);
    let _e115 = coord_1;
    let _e119 = vec4<f32>(_e115, 0.0, 0.0, 6.0);
    let _e126 = textureSampleBias(tex1D, samp, (_e119.xyz / vec3<f32>(_e119.w)).x, 2.0);
    c = _e126;
    let _e127 = coord_1;
    _ = vec2<f32>(_e127, 6.0);
    let _e132 = coord_1;
    let _e134 = vec2<f32>(_e132, 6.0);
    let _e140 = textureSampleGrad(tex1D, samp, (_e134.x / _e134.y), 4.0, 4.0);
    c = _e140;
    let _e141 = coord_1;
    _ = vec4<f32>(_e141, 0.0, 0.0, 6.0);
    let _e148 = coord_1;
    let _e152 = vec4<f32>(_e148, 0.0, 0.0, 6.0);
    let _e160 = textureSampleGrad(tex1D, samp, (_e152.xyz / vec3<f32>(_e152.w)).x, 4.0, 4.0);
    c = _e160;
    let _e161 = coord_1;
    _ = vec2<f32>(_e161, 6.0);
    let _e167 = coord_1;
    let _e169 = vec2<f32>(_e167, 6.0);
    let _e176 = textureSampleGrad(tex1D, samp, (_e169.x / _e169.y), 4.0, 4.0, 5);
    c = _e176;
    let _e177 = coord_1;
    _ = vec4<f32>(_e177, 0.0, 0.0, 6.0);
    let _e185 = coord_1;
    let _e189 = vec4<f32>(_e185, 0.0, 0.0, 6.0);
    let _e198 = textureSampleGrad(tex1D, samp, (_e189.xyz / vec3<f32>(_e189.w)).x, 4.0, 4.0, 5);
    c = _e198;
    let _e199 = coord_1;
    _ = vec2<f32>(_e199, 6.0);
    let _e203 = coord_1;
    let _e205 = vec2<f32>(_e203, 6.0);
    let _e210 = textureSampleLevel(tex1D, samp, (_e205.x / _e205.y), 3.0);
    c = _e210;
    let _e211 = coord_1;
    _ = vec4<f32>(_e211, 0.0, 0.0, 6.0);
    let _e217 = coord_1;
    let _e221 = vec4<f32>(_e217, 0.0, 0.0, 6.0);
    let _e228 = textureSampleLevel(tex1D, samp, (_e221.xyz / vec3<f32>(_e221.w)).x, 3.0);
    c = _e228;
    let _e229 = coord_1;
    _ = vec2<f32>(_e229, 6.0);
    let _e234 = coord_1;
    let _e236 = vec2<f32>(_e234, 6.0);
    let _e242 = textureSampleLevel(tex1D, samp, (_e236.x / _e236.y), 3.0, 5);
    c = _e242;
    let _e243 = coord_1;
    _ = vec4<f32>(_e243, 0.0, 0.0, 6.0);
    let _e250 = coord_1;
    let _e254 = vec4<f32>(_e250, 0.0, 0.0, 6.0);
    let _e262 = textureSampleLevel(tex1D, samp, (_e254.xyz / vec3<f32>(_e254.w)).x, 3.0, 5);
    c = _e262;
    let _e263 = coord_1;
    _ = vec2<f32>(_e263, 6.0);
    let _e267 = coord_1;
    let _e269 = vec2<f32>(_e267, 6.0);
    let _e274 = textureSample(tex1D, samp, (_e269.x / _e269.y), 5);
    c = _e274;
    let _e275 = coord_1;
    _ = vec4<f32>(_e275, 0.0, 0.0, 6.0);
    let _e281 = coord_1;
    let _e285 = vec4<f32>(_e281, 0.0, 0.0, 6.0);
    let _e292 = textureSample(tex1D, samp, (_e285.xyz / vec3<f32>(_e285.w)).x, 5);
    c = _e292;
    let _e293 = coord_1;
    _ = vec2<f32>(_e293, 6.0);
    let _e298 = coord_1;
    let _e300 = vec2<f32>(_e298, 6.0);
    let _e306 = textureSampleBias(tex1D, samp, (_e300.x / _e300.y), 2.0, 5);
    c = _e306;
    let _e307 = coord_1;
    _ = vec4<f32>(_e307, 0.0, 0.0, 6.0);
    let _e314 = coord_1;
    let _e318 = vec4<f32>(_e314, 0.0, 0.0, 6.0);
    let _e326 = textureSampleBias(tex1D, samp, (_e318.xyz / vec3<f32>(_e318.w)).x, 2.0, 5);
    c = _e326;
    let _e327 = coord_1;
    _ = i32(_e327);
    let _e330 = coord_1;
    let _e333 = textureLoad(tex1D, i32(_e330), 3);
    c = _e333;
    let _e334 = coord_1;
    _ = i32(_e334);
    let _e338 = coord_1;
    let _e342 = textureLoad(tex1D, i32(_e338), 3);
    c = _e342;
    return;
}

fn testTex1DArray(coord_2: vec2<f32>) {
    var coord_3: vec2<f32>;
    var size1DArray: vec2<i32>;
    var c_1: vec4<f32>;

    coord_3 = coord_2;
    let _e20 = textureDimensions(tex1DArray, 0);
    let _e21 = textureNumLayers(tex1DArray);
    size1DArray = vec2<i32>(_e20, _e21);
    _ = coord_3;
    let _e26 = coord_3;
    let _e30 = textureSample(tex1DArray, samp, _e26.x, i32(_e26.y));
    c_1 = _e30;
    _ = coord_3;
    let _e33 = coord_3;
    let _e38 = textureSampleBias(tex1DArray, samp, _e33.x, i32(_e33.y), 2.0);
    c_1 = _e38;
    _ = coord_3;
    let _e42 = coord_3;
    let _e48 = textureSampleGrad(tex1DArray, samp, _e42.x, i32(_e42.y), 4.0, 4.0);
    c_1 = _e48;
    _ = coord_3;
    let _e53 = coord_3;
    let _e60 = textureSampleGrad(tex1DArray, samp, _e53.x, i32(_e53.y), 4.0, 4.0, 5);
    c_1 = _e60;
    _ = coord_3;
    let _e63 = coord_3;
    let _e68 = textureSampleLevel(tex1DArray, samp, _e63.x, i32(_e63.y), 3.0);
    c_1 = _e68;
    _ = coord_3;
    let _e72 = coord_3;
    let _e78 = textureSampleLevel(tex1DArray, samp, _e72.x, i32(_e72.y), 3.0, 5);
    c_1 = _e78;
    _ = coord_3;
    let _e81 = coord_3;
    let _e86 = textureSample(tex1DArray, samp, _e81.x, i32(_e81.y), 5);
    c_1 = _e86;
    _ = coord_3;
    let _e90 = coord_3;
    let _e96 = textureSampleBias(tex1DArray, samp, _e90.x, i32(_e90.y), 2.0, 5);
    c_1 = _e96;
    let _e97 = coord_3;
    _ = vec2<i32>(_e97);
    let _e100 = coord_3;
    let _e101 = vec2<i32>(_e100);
    let _e105 = textureLoad(tex1DArray, _e101.x, _e101.y, 3);
    c_1 = _e105;
    let _e106 = coord_3;
    _ = vec2<i32>(_e106);
    let _e110 = coord_3;
    let _e111 = vec2<i32>(_e110);
    let _e116 = textureLoad(tex1DArray, _e111.x, _e111.y, 3);
    c_1 = _e116;
    return;
}

fn testTex2D(coord_4: vec2<f32>) {
    var coord_5: vec2<f32>;
    var size2D: vec2<i32>;
    var c_2: vec4<f32>;

    coord_5 = coord_4;
    let _e20 = textureDimensions(tex2D, 0);
    size2D = _e20;
    _ = coord_5;
    let _e24 = coord_5;
    let _e25 = textureSample(tex2D, samp, _e24);
    c_2 = _e25;
    _ = coord_5;
    let _e28 = coord_5;
    let _e30 = textureSampleBias(tex2D, samp, _e28, 2.0);
    c_2 = _e30;
    _ = coord_5;
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e36 = coord_5;
    let _e41 = textureSampleGrad(tex2D, samp, _e36, vec2<f32>(4.0), vec2<f32>(4.0));
    c_2 = _e41;
    _ = coord_5;
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e49 = coord_5;
    _ = vec2<i32>(5);
    let _e56 = textureSampleGrad(tex2D, samp, _e49, vec2<f32>(4.0), vec2<f32>(4.0), vec2<i32>(5, 5));
    c_2 = _e56;
    _ = coord_5;
    let _e59 = coord_5;
    let _e61 = textureSampleLevel(tex2D, samp, _e59, 3.0);
    c_2 = _e61;
    _ = coord_5;
    _ = vec2<i32>(5);
    let _e66 = coord_5;
    _ = vec2<i32>(5);
    let _e70 = textureSampleLevel(tex2D, samp, _e66, 3.0, vec2<i32>(5, 5));
    c_2 = _e70;
    _ = coord_5;
    _ = vec2<i32>(5);
    let _e74 = coord_5;
    _ = vec2<i32>(5);
    let _e77 = textureSample(tex2D, samp, _e74, vec2<i32>(5, 5));
    c_2 = _e77;
    _ = coord_5;
    _ = vec2<i32>(5);
    let _e82 = coord_5;
    _ = vec2<i32>(5);
    let _e86 = textureSampleBias(tex2D, samp, _e82, 2.0, vec2<i32>(5, 5));
    c_2 = _e86;
    let _e87 = coord_5;
    _ = vec3<f32>(_e87.x, _e87.y, 6.0);
    let _e92 = coord_5;
    let _e96 = vec3<f32>(_e92.x, _e92.y, 6.0);
    let _e101 = textureSample(tex2D, samp, (_e96.xy / vec2<f32>(_e96.z)));
    c_2 = _e101;
    let _e102 = coord_5;
    _ = vec4<f32>(_e102.x, _e102.y, 0.0, 6.0);
    let _e108 = coord_5;
    let _e113 = vec4<f32>(_e108.x, _e108.y, 0.0, 6.0);
    let _e119 = textureSample(tex2D, samp, (_e113.xyz / vec3<f32>(_e113.w)).xy);
    c_2 = _e119;
    let _e120 = coord_5;
    _ = vec3<f32>(_e120.x, _e120.y, 6.0);
    let _e126 = coord_5;
    let _e130 = vec3<f32>(_e126.x, _e126.y, 6.0);
    let _e136 = textureSampleBias(tex2D, samp, (_e130.xy / vec2<f32>(_e130.z)), 2.0);
    c_2 = _e136;
    let _e137 = coord_5;
    _ = vec4<f32>(_e137.x, _e137.y, 0.0, 6.0);
    let _e144 = coord_5;
    let _e149 = vec4<f32>(_e144.x, _e144.y, 0.0, 6.0);
    let _e156 = textureSampleBias(tex2D, samp, (_e149.xyz / vec3<f32>(_e149.w)).xy, 2.0);
    c_2 = _e156;
    let _e157 = coord_5;
    _ = vec3<f32>(_e157.x, _e157.y, 6.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e166 = coord_5;
    let _e170 = vec3<f32>(_e166.x, _e166.y, 6.0);
    let _e179 = textureSampleGrad(tex2D, samp, (_e170.xy / vec2<f32>(_e170.z)), vec2<f32>(4.0), vec2<f32>(4.0));
    c_2 = _e179;
    let _e180 = coord_5;
    _ = vec4<f32>(_e180.x, _e180.y, 0.0, 6.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e190 = coord_5;
    let _e195 = vec4<f32>(_e190.x, _e190.y, 0.0, 6.0);
    let _e205 = textureSampleGrad(tex2D, samp, (_e195.xyz / vec3<f32>(_e195.w)).xy, vec2<f32>(4.0), vec2<f32>(4.0));
    c_2 = _e205;
    let _e206 = coord_5;
    _ = vec3<f32>(_e206.x, _e206.y, 6.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e217 = coord_5;
    let _e221 = vec3<f32>(_e217.x, _e217.y, 6.0);
    _ = vec2<i32>(5);
    let _e232 = textureSampleGrad(tex2D, samp, (_e221.xy / vec2<f32>(_e221.z)), vec2<f32>(4.0), vec2<f32>(4.0), vec2<i32>(5, 5));
    c_2 = _e232;
    let _e233 = coord_5;
    _ = vec4<f32>(_e233.x, _e233.y, 0.0, 6.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e245 = coord_5;
    let _e250 = vec4<f32>(_e245.x, _e245.y, 0.0, 6.0);
    _ = vec2<i32>(5);
    let _e262 = textureSampleGrad(tex2D, samp, (_e250.xyz / vec3<f32>(_e250.w)).xy, vec2<f32>(4.0), vec2<f32>(4.0), vec2<i32>(5, 5));
    c_2 = _e262;
    let _e263 = coord_5;
    _ = vec3<f32>(_e263.x, _e263.y, 6.0);
    let _e269 = coord_5;
    let _e273 = vec3<f32>(_e269.x, _e269.y, 6.0);
    let _e279 = textureSampleLevel(tex2D, samp, (_e273.xy / vec2<f32>(_e273.z)), 3.0);
    c_2 = _e279;
    let _e280 = coord_5;
    _ = vec4<f32>(_e280.x, _e280.y, 0.0, 6.0);
    let _e287 = coord_5;
    let _e292 = vec4<f32>(_e287.x, _e287.y, 0.0, 6.0);
    let _e299 = textureSampleLevel(tex2D, samp, (_e292.xyz / vec3<f32>(_e292.w)).xy, 3.0);
    c_2 = _e299;
    let _e300 = coord_5;
    _ = vec3<f32>(_e300.x, _e300.y, 6.0);
    _ = vec2<i32>(5);
    let _e308 = coord_5;
    let _e312 = vec3<f32>(_e308.x, _e308.y, 6.0);
    _ = vec2<i32>(5);
    let _e320 = textureSampleLevel(tex2D, samp, (_e312.xy / vec2<f32>(_e312.z)), 3.0, vec2<i32>(5, 5));
    c_2 = _e320;
    let _e321 = coord_5;
    _ = vec4<f32>(_e321.x, _e321.y, 0.0, 6.0);
    _ = vec2<i32>(5);
    let _e330 = coord_5;
    let _e335 = vec4<f32>(_e330.x, _e330.y, 0.0, 6.0);
    _ = vec2<i32>(5);
    let _e344 = textureSampleLevel(tex2D, samp, (_e335.xyz / vec3<f32>(_e335.w)).xy, 3.0, vec2<i32>(5, 5));
    c_2 = _e344;
    let _e345 = coord_5;
    _ = vec3<f32>(_e345.x, _e345.y, 6.0);
    _ = vec2<i32>(5);
    let _e352 = coord_5;
    let _e356 = vec3<f32>(_e352.x, _e352.y, 6.0);
    _ = vec2<i32>(5);
    let _e363 = textureSample(tex2D, samp, (_e356.xy / vec2<f32>(_e356.z)), vec2<i32>(5, 5));
    c_2 = _e363;
    let _e364 = coord_5;
    _ = vec4<f32>(_e364.x, _e364.y, 0.0, 6.0);
    _ = vec2<i32>(5);
    let _e372 = coord_5;
    let _e377 = vec4<f32>(_e372.x, _e372.y, 0.0, 6.0);
    _ = vec2<i32>(5);
    let _e385 = textureSample(tex2D, samp, (_e377.xyz / vec3<f32>(_e377.w)).xy, vec2<i32>(5, 5));
    c_2 = _e385;
    let _e386 = coord_5;
    _ = vec3<f32>(_e386.x, _e386.y, 6.0);
    _ = vec2<i32>(5);
    let _e394 = coord_5;
    let _e398 = vec3<f32>(_e394.x, _e394.y, 6.0);
    _ = vec2<i32>(5);
    let _e406 = textureSampleBias(tex2D, samp, (_e398.xy / vec2<f32>(_e398.z)), 2.0, vec2<i32>(5, 5));
    c_2 = _e406;
    let _e407 = coord_5;
    _ = vec4<f32>(_e407.x, _e407.y, 0.0, 6.0);
    _ = vec2<i32>(5);
    let _e416 = coord_5;
    let _e421 = vec4<f32>(_e416.x, _e416.y, 0.0, 6.0);
    _ = vec2<i32>(5);
    let _e430 = textureSampleBias(tex2D, samp, (_e421.xyz / vec3<f32>(_e421.w)).xy, 2.0, vec2<i32>(5, 5));
    c_2 = _e430;
    let _e431 = coord_5;
    _ = vec2<i32>(_e431);
    let _e434 = coord_5;
    let _e437 = textureLoad(tex2D, vec2<i32>(_e434), 3);
    c_2 = _e437;
    let _e438 = coord_5;
    _ = vec2<i32>(_e438);
    _ = vec2<i32>(5);
    let _e443 = coord_5;
    _ = vec2<i32>(5);
    let _e448 = textureLoad(tex2D, vec2<i32>(_e443), 3);
    c_2 = _e448;
    return;
}

fn testTex2DShadow(coord_6: vec2<f32>) {
    var coord_7: vec2<f32>;
    var size2DShadow: vec2<i32>;
    var d: f32;

    coord_7 = coord_6;
    let _e20 = textureDimensions(tex2DShadow, 0);
    size2DShadow = _e20;
    let _e23 = coord_7;
    _ = vec3<f32>(_e23.x, _e23.y, 1.0);
    let _e28 = coord_7;
    let _e32 = vec3<f32>(_e28.x, _e28.y, 1.0);
    let _e35 = textureSampleCompare(tex2DShadow, sampShadow, _e32.xy, _e32.z);
    d = _e35;
    let _e36 = coord_7;
    _ = vec3<f32>(_e36.x, _e36.y, 1.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e45 = coord_7;
    let _e49 = vec3<f32>(_e45.x, _e45.y, 1.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e56 = textureSampleCompareLevel(tex2DShadow, sampShadow, _e49.xy, _e49.z);
    d = _e56;
    let _e57 = coord_7;
    _ = vec3<f32>(_e57.x, _e57.y, 1.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e68 = coord_7;
    let _e72 = vec3<f32>(_e68.x, _e68.y, 1.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e81 = textureSampleCompareLevel(tex2DShadow, sampShadow, _e72.xy, _e72.z, vec2<i32>(5, 5));
    d = _e81;
    let _e82 = coord_7;
    _ = vec3<f32>(_e82.x, _e82.y, 1.0);
    let _e88 = coord_7;
    let _e92 = vec3<f32>(_e88.x, _e88.y, 1.0);
    let _e96 = textureSampleCompareLevel(tex2DShadow, sampShadow, _e92.xy, _e92.z);
    d = _e96;
    let _e97 = coord_7;
    _ = vec3<f32>(_e97.x, _e97.y, 1.0);
    _ = vec2<i32>(5);
    let _e105 = coord_7;
    let _e109 = vec3<f32>(_e105.x, _e105.y, 1.0);
    _ = vec2<i32>(5);
    let _e115 = textureSampleCompareLevel(tex2DShadow, sampShadow, _e109.xy, _e109.z, vec2<i32>(5, 5));
    d = _e115;
    let _e116 = coord_7;
    _ = vec3<f32>(_e116.x, _e116.y, 1.0);
    _ = vec2<i32>(5);
    let _e123 = coord_7;
    let _e127 = vec3<f32>(_e123.x, _e123.y, 1.0);
    _ = vec2<i32>(5);
    let _e132 = textureSampleCompare(tex2DShadow, sampShadow, _e127.xy, _e127.z, vec2<i32>(5, 5));
    d = _e132;
    let _e133 = coord_7;
    _ = vec4<f32>(_e133.x, _e133.y, 1.0, 6.0);
    let _e139 = coord_7;
    let _e144 = vec4<f32>(_e139.x, _e139.y, 1.0, 6.0);
    let _e148 = (_e144.xyz / vec3<f32>(_e144.w));
    let _e151 = textureSampleCompare(tex2DShadow, sampShadow, _e148.xy, _e148.z);
    d = _e151;
    let _e152 = coord_7;
    _ = vec4<f32>(_e152.x, _e152.y, 1.0, 6.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e162 = coord_7;
    let _e167 = vec4<f32>(_e162.x, _e162.y, 1.0, 6.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e175 = (_e167.xyz / vec3<f32>(_e167.w));
    let _e178 = textureSampleCompareLevel(tex2DShadow, sampShadow, _e175.xy, _e175.z);
    d = _e178;
    let _e179 = coord_7;
    _ = vec4<f32>(_e179.x, _e179.y, 1.0, 6.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e191 = coord_7;
    let _e196 = vec4<f32>(_e191.x, _e191.y, 1.0, 6.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e206 = (_e196.xyz / vec3<f32>(_e196.w));
    let _e209 = textureSampleCompareLevel(tex2DShadow, sampShadow, _e206.xy, _e206.z, vec2<i32>(5, 5));
    d = _e209;
    let _e210 = coord_7;
    _ = vec4<f32>(_e210.x, _e210.y, 1.0, 6.0);
    let _e217 = coord_7;
    let _e222 = vec4<f32>(_e217.x, _e217.y, 1.0, 6.0);
    let _e227 = (_e222.xyz / vec3<f32>(_e222.w));
    let _e230 = textureSampleCompareLevel(tex2DShadow, sampShadow, _e227.xy, _e227.z);
    d = _e230;
    let _e231 = coord_7;
    _ = vec4<f32>(_e231.x, _e231.y, 1.0, 6.0);
    _ = vec2<i32>(5);
    let _e240 = coord_7;
    let _e245 = vec4<f32>(_e240.x, _e240.y, 1.0, 6.0);
    _ = vec2<i32>(5);
    let _e252 = (_e245.xyz / vec3<f32>(_e245.w));
    let _e255 = textureSampleCompareLevel(tex2DShadow, sampShadow, _e252.xy, _e252.z, vec2<i32>(5, 5));
    d = _e255;
    let _e256 = coord_7;
    _ = vec4<f32>(_e256.x, _e256.y, 1.0, 6.0);
    _ = vec2<i32>(5);
    let _e264 = coord_7;
    let _e269 = vec4<f32>(_e264.x, _e264.y, 1.0, 6.0);
    _ = vec2<i32>(5);
    let _e275 = (_e269.xyz / vec3<f32>(_e269.w));
    let _e278 = textureSampleCompare(tex2DShadow, sampShadow, _e275.xy, _e275.z, vec2<i32>(5, 5));
    d = _e278;
    return;
}

fn testTex2DArray(coord_8: vec3<f32>) {
    var coord_9: vec3<f32>;
    var size2DArray: vec3<i32>;
    var c_3: vec4<f32>;

    coord_9 = coord_8;
    let _e20 = textureDimensions(tex2DArray, 0);
    let _e23 = textureNumLayers(tex2DArray);
    size2DArray = vec3<i32>(_e20.x, _e20.y, _e23);
    _ = coord_9;
    let _e28 = coord_9;
    let _e32 = textureSample(tex2DArray, samp, _e28.xy, i32(_e28.z));
    c_3 = _e32;
    _ = coord_9;
    let _e35 = coord_9;
    let _e40 = textureSampleBias(tex2DArray, samp, _e35.xy, i32(_e35.z), 2.0);
    c_3 = _e40;
    _ = coord_9;
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e46 = coord_9;
    let _e54 = textureSampleGrad(tex2DArray, samp, _e46.xy, i32(_e46.z), vec2<f32>(4.0), vec2<f32>(4.0));
    c_3 = _e54;
    _ = coord_9;
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e62 = coord_9;
    _ = vec2<i32>(5);
    let _e72 = textureSampleGrad(tex2DArray, samp, _e62.xy, i32(_e62.z), vec2<f32>(4.0), vec2<f32>(4.0), vec2<i32>(5, 5));
    c_3 = _e72;
    _ = coord_9;
    let _e75 = coord_9;
    let _e80 = textureSampleLevel(tex2DArray, samp, _e75.xy, i32(_e75.z), 3.0);
    c_3 = _e80;
    _ = coord_9;
    _ = vec2<i32>(5);
    let _e85 = coord_9;
    _ = vec2<i32>(5);
    let _e92 = textureSampleLevel(tex2DArray, samp, _e85.xy, i32(_e85.z), 3.0, vec2<i32>(5, 5));
    c_3 = _e92;
    _ = coord_9;
    _ = vec2<i32>(5);
    let _e96 = coord_9;
    _ = vec2<i32>(5);
    let _e102 = textureSample(tex2DArray, samp, _e96.xy, i32(_e96.z), vec2<i32>(5, 5));
    c_3 = _e102;
    _ = coord_9;
    _ = vec2<i32>(5);
    let _e107 = coord_9;
    _ = vec2<i32>(5);
    let _e114 = textureSampleBias(tex2DArray, samp, _e107.xy, i32(_e107.z), 2.0, vec2<i32>(5, 5));
    c_3 = _e114;
    let _e115 = coord_9;
    _ = vec3<i32>(_e115);
    let _e118 = coord_9;
    let _e119 = vec3<i32>(_e118);
    let _e123 = textureLoad(tex2DArray, _e119.xy, _e119.z, 3);
    c_3 = _e123;
    let _e124 = coord_9;
    _ = vec3<i32>(_e124);
    _ = vec2<i32>(5);
    let _e129 = coord_9;
    let _e130 = vec3<i32>(_e129);
    _ = vec2<i32>(5);
    let _e136 = textureLoad(tex2DArray, _e130.xy, _e130.z, 3);
    c_3 = _e136;
    return;
}

fn testTex2DArrayShadow(coord_10: vec3<f32>) {
    var coord_11: vec3<f32>;
    var size2DArrayShadow: vec3<i32>;
    var d_1: f32;

    coord_11 = coord_10;
    let _e20 = textureDimensions(tex2DArrayShadow, 0);
    let _e23 = textureNumLayers(tex2DArrayShadow);
    size2DArrayShadow = vec3<i32>(_e20.x, _e20.y, _e23);
    let _e27 = coord_11;
    _ = vec4<f32>(_e27.x, _e27.y, _e27.z, 1.0);
    let _e33 = coord_11;
    let _e38 = vec4<f32>(_e33.x, _e33.y, _e33.z, 1.0);
    let _e43 = textureSampleCompare(tex2DArrayShadow, sampShadow, _e38.xy, i32(_e38.z), _e38.w);
    d_1 = _e43;
    let _e44 = coord_11;
    _ = vec4<f32>(_e44.x, _e44.y, _e44.z, 1.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e54 = coord_11;
    let _e59 = vec4<f32>(_e54.x, _e54.y, _e54.z, 1.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    let _e68 = textureSampleCompareLevel(tex2DArrayShadow, sampShadow, _e59.xy, i32(_e59.z), _e59.w);
    d_1 = _e68;
    let _e69 = coord_11;
    _ = vec4<f32>(_e69.x, _e69.y, _e69.z, 1.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e81 = coord_11;
    let _e86 = vec4<f32>(_e81.x, _e81.y, _e81.z, 1.0);
    _ = vec2<f32>(4.0);
    _ = vec2<f32>(4.0);
    _ = vec2<i32>(5);
    let _e97 = textureSampleCompareLevel(tex2DArrayShadow, sampShadow, _e86.xy, i32(_e86.z), _e86.w, vec2<i32>(5, 5));
    d_1 = _e97;
    let _e98 = coord_11;
    _ = vec4<f32>(_e98.x, _e98.y, _e98.z, 1.0);
    _ = vec2<i32>(5);
    let _e106 = coord_11;
    let _e111 = vec4<f32>(_e106.x, _e106.y, _e106.z, 1.0);
    _ = vec2<i32>(5);
    let _e118 = textureSampleCompare(tex2DArrayShadow, sampShadow, _e111.xy, i32(_e111.z), _e111.w, vec2<i32>(5, 5));
    d_1 = _e118;
    return;
}

fn testTexCube(coord_12: vec3<f32>) {
    var coord_13: vec3<f32>;
    var sizeCube: vec2<i32>;
    var c_4: vec4<f32>;

    coord_13 = coord_12;
    let _e20 = textureDimensions(texCube, 0);
    sizeCube = _e20;
    _ = coord_13;
    let _e24 = coord_13;
    let _e25 = textureSample(texCube, samp, _e24);
    c_4 = _e25;
    _ = coord_13;
    let _e28 = coord_13;
    let _e30 = textureSampleBias(texCube, samp, _e28, 2.0);
    c_4 = _e30;
    _ = coord_13;
    _ = vec3<f32>(4.0);
    _ = vec3<f32>(4.0);
    let _e36 = coord_13;
    let _e41 = textureSampleGrad(texCube, samp, _e36, vec3<f32>(4.0), vec3<f32>(4.0));
    c_4 = _e41;
    _ = coord_13;
    let _e44 = coord_13;
    let _e46 = textureSampleLevel(texCube, samp, _e44, 3.0);
    c_4 = _e46;
    return;
}

fn testTexCubeShadow(coord_14: vec3<f32>) {
    var coord_15: vec3<f32>;
    var sizeCubeShadow: vec2<i32>;
    var d_2: f32;

    coord_15 = coord_14;
    let _e20 = textureDimensions(texCubeShadow, 0);
    sizeCubeShadow = _e20;
    let _e23 = coord_15;
    _ = vec4<f32>(_e23.x, _e23.y, _e23.z, 1.0);
    let _e29 = coord_15;
    let _e34 = vec4<f32>(_e29.x, _e29.y, _e29.z, 1.0);
    let _e37 = textureSampleCompare(texCubeShadow, sampShadow, _e34.xyz, _e34.w);
    d_2 = _e37;
    let _e38 = coord_15;
    _ = vec4<f32>(_e38.x, _e38.y, _e38.z, 1.0);
    _ = vec3<f32>(4.0);
    _ = vec3<f32>(4.0);
    let _e48 = coord_15;
    let _e53 = vec4<f32>(_e48.x, _e48.y, _e48.z, 1.0);
    _ = vec3<f32>(4.0);
    _ = vec3<f32>(4.0);
    let _e60 = textureSampleCompareLevel(texCubeShadow, sampShadow, _e53.xyz, _e53.w);
    d_2 = _e60;
    return;
}

fn testTexCubeArray(coord_16: vec4<f32>) {
    var coord_17: vec4<f32>;
    var sizeCubeArray: vec3<i32>;
    var c_5: vec4<f32>;

    coord_17 = coord_16;
    let _e20 = textureDimensions(texCubeArray, 0);
    let _e23 = textureNumLayers(texCubeArray);
    sizeCubeArray = vec3<i32>(_e20.x, _e20.y, _e23);
    _ = coord_17;
    let _e28 = coord_17;
    let _e32 = textureSample(texCubeArray, samp, _e28.xyz, i32(_e28.w));
    c_5 = _e32;
    _ = coord_17;
    let _e35 = coord_17;
    let _e40 = textureSampleBias(texCubeArray, samp, _e35.xyz, i32(_e35.w), 2.0);
    c_5 = _e40;
    _ = coord_17;
    _ = vec3<f32>(4.0);
    _ = vec3<f32>(4.0);
    let _e46 = coord_17;
    let _e54 = textureSampleGrad(texCubeArray, samp, _e46.xyz, i32(_e46.w), vec3<f32>(4.0), vec3<f32>(4.0));
    c_5 = _e54;
    _ = coord_17;
    let _e57 = coord_17;
    let _e62 = textureSampleLevel(texCubeArray, samp, _e57.xyz, i32(_e57.w), 3.0);
    c_5 = _e62;
    return;
}

fn testTexCubeArrayShadow(coord_18: vec4<f32>) {
    var coord_19: vec4<f32>;
    var sizeCubeArrayShadow: vec3<i32>;
    var d_3: f32;

    coord_19 = coord_18;
    let _e20 = textureDimensions(texCubeArrayShadow, 0);
    let _e23 = textureNumLayers(texCubeArrayShadow);
    sizeCubeArrayShadow = vec3<i32>(_e20.x, _e20.y, _e23);
    _ = coord_19;
    let _e29 = coord_19;
    let _e34 = textureSampleCompare(texCubeArrayShadow, sampShadow, _e29.xyz, i32(_e29.w), 1.0);
    d_3 = _e34;
    return;
}

fn testTex3D(coord_20: vec3<f32>) {
    var coord_21: vec3<f32>;
    var size3D: vec3<i32>;
    var c_6: vec4<f32>;

    coord_21 = coord_20;
    let _e20 = textureDimensions(tex3D, 0);
    size3D = _e20;
    _ = coord_21;
    let _e24 = coord_21;
    let _e25 = textureSample(tex3D, samp, _e24);
    c_6 = _e25;
    _ = coord_21;
    let _e28 = coord_21;
    let _e30 = textureSampleBias(tex3D, samp, _e28, 2.0);
    c_6 = _e30;
    let _e31 = coord_21;
    _ = vec4<f32>(_e31.x, _e31.y, _e31.z, 6.0);
    let _e37 = coord_21;
    let _e42 = vec4<f32>(_e37.x, _e37.y, _e37.z, 6.0);
    let _e47 = textureSample(tex3D, samp, (_e42.xyz / vec3<f32>(_e42.w)));
    c_6 = _e47;
    let _e48 = coord_21;
    _ = vec4<f32>(_e48.x, _e48.y, _e48.z, 6.0);
    let _e55 = coord_21;
    let _e60 = vec4<f32>(_e55.x, _e55.y, _e55.z, 6.0);
    let _e66 = textureSampleBias(tex3D, samp, (_e60.xyz / vec3<f32>(_e60.w)), 2.0);
    c_6 = _e66;
    let _e67 = coord_21;
    _ = vec4<f32>(_e67.x, _e67.y, _e67.z, 6.0);
    _ = vec3<i32>(5);
    let _e75 = coord_21;
    let _e80 = vec4<f32>(_e75.x, _e75.y, _e75.z, 6.0);
    _ = vec3<i32>(5);
    let _e87 = textureSample(tex3D, samp, (_e80.xyz / vec3<f32>(_e80.w)), vec3<i32>(5, 5, 5));
    c_6 = _e87;
    let _e88 = coord_21;
    _ = vec4<f32>(_e88.x, _e88.y, _e88.z, 6.0);
    _ = vec3<i32>(5);
    let _e97 = coord_21;
    let _e102 = vec4<f32>(_e97.x, _e97.y, _e97.z, 6.0);
    _ = vec3<i32>(5);
    let _e110 = textureSampleBias(tex3D, samp, (_e102.xyz / vec3<f32>(_e102.w)), 2.0, vec3<i32>(5, 5, 5));
    c_6 = _e110;
    let _e111 = coord_21;
    _ = vec4<f32>(_e111.x, _e111.y, _e111.z, 6.0);
    let _e118 = coord_21;
    let _e123 = vec4<f32>(_e118.x, _e118.y, _e118.z, 6.0);
    let _e129 = textureSampleLevel(tex3D, samp, (_e123.xyz / vec3<f32>(_e123.w)), 3.0);
    c_6 = _e129;
    let _e130 = coord_21;
    _ = vec4<f32>(_e130.x, _e130.y, _e130.z, 6.0);
    _ = vec3<i32>(5);
    let _e139 = coord_21;
    let _e144 = vec4<f32>(_e139.x, _e139.y, _e139.z, 6.0);
    _ = vec3<i32>(5);
    let _e152 = textureSampleLevel(tex3D, samp, (_e144.xyz / vec3<f32>(_e144.w)), 3.0, vec3<i32>(5, 5, 5));
    c_6 = _e152;
    let _e153 = coord_21;
    _ = vec4<f32>(_e153.x, _e153.y, _e153.z, 6.0);
    _ = vec3<f32>(4.0);
    _ = vec3<f32>(4.0);
    let _e163 = coord_21;
    let _e168 = vec4<f32>(_e163.x, _e163.y, _e163.z, 6.0);
    let _e177 = textureSampleGrad(tex3D, samp, (_e168.xyz / vec3<f32>(_e168.w)), vec3<f32>(4.0), vec3<f32>(4.0));
    c_6 = _e177;
    let _e178 = coord_21;
    _ = vec4<f32>(_e178.x, _e178.y, _e178.z, 6.0);
    _ = vec3<f32>(4.0);
    _ = vec3<f32>(4.0);
    _ = vec3<i32>(5);
    let _e190 = coord_21;
    let _e195 = vec4<f32>(_e190.x, _e190.y, _e190.z, 6.0);
    _ = vec3<i32>(5);
    let _e206 = textureSampleGrad(tex3D, samp, (_e195.xyz / vec3<f32>(_e195.w)), vec3<f32>(4.0), vec3<f32>(4.0), vec3<i32>(5, 5, 5));
    c_6 = _e206;
    _ = coord_21;
    _ = vec3<f32>(4.0);
    _ = vec3<f32>(4.0);
    let _e212 = coord_21;
    let _e217 = textureSampleGrad(tex3D, samp, _e212, vec3<f32>(4.0), vec3<f32>(4.0));
    c_6 = _e217;
    _ = coord_21;
    _ = vec3<f32>(4.0);
    _ = vec3<f32>(4.0);
    _ = vec3<i32>(5);
    let _e225 = coord_21;
    _ = vec3<i32>(5);
    let _e232 = textureSampleGrad(tex3D, samp, _e225, vec3<f32>(4.0), vec3<f32>(4.0), vec3<i32>(5, 5, 5));
    c_6 = _e232;
    _ = coord_21;
    let _e235 = coord_21;
    let _e237 = textureSampleLevel(tex3D, samp, _e235, 3.0);
    c_6 = _e237;
    _ = coord_21;
    _ = vec3<i32>(5);
    let _e242 = coord_21;
    _ = vec3<i32>(5);
    let _e246 = textureSampleLevel(tex3D, samp, _e242, 3.0, vec3<i32>(5, 5, 5));
    c_6 = _e246;
    _ = coord_21;
    _ = vec3<i32>(5);
    let _e250 = coord_21;
    _ = vec3<i32>(5);
    let _e253 = textureSample(tex3D, samp, _e250, vec3<i32>(5, 5, 5));
    c_6 = _e253;
    _ = coord_21;
    _ = vec3<i32>(5);
    let _e258 = coord_21;
    _ = vec3<i32>(5);
    let _e262 = textureSampleBias(tex3D, samp, _e258, 2.0, vec3<i32>(5, 5, 5));
    c_6 = _e262;
    let _e263 = coord_21;
    _ = vec3<i32>(_e263);
    let _e266 = coord_21;
    let _e269 = textureLoad(tex3D, vec3<i32>(_e266), 3);
    c_6 = _e269;
    let _e270 = coord_21;
    _ = vec3<i32>(_e270);
    _ = vec3<i32>(5);
    let _e275 = coord_21;
    _ = vec3<i32>(5);
    let _e280 = textureLoad(tex3D, vec3<i32>(_e275), 3);
    c_6 = _e280;
    return;
}

fn testTex2DMS(coord_22: vec2<f32>) {
    var coord_23: vec2<f32>;
    var size2DMS: vec2<i32>;
    var c_7: vec4<f32>;

    coord_23 = coord_22;
    let _e18 = textureDimensions(tex2DMS);
    size2DMS = _e18;
    let _e21 = coord_23;
    _ = vec2<i32>(_e21);
    let _e24 = coord_23;
    let _e27 = textureLoad(tex2DMS, vec2<i32>(_e24), 3);
    c_7 = _e27;
    return;
}

fn testTex2DMSArray(coord_24: vec3<f32>) {
    var coord_25: vec3<f32>;
    var size2DMSArray: vec3<i32>;
    var c_8: vec4<f32>;

    coord_25 = coord_24;
    let _e18 = textureDimensions(tex2DMSArray);
    let _e21 = textureNumLayers(tex2DMSArray);
    size2DMSArray = vec3<i32>(_e18.x, _e18.y, _e21);
    let _e25 = coord_25;
    _ = vec3<i32>(_e25);
    let _e28 = coord_25;
    let _e29 = vec3<i32>(_e28);
    let _e33 = textureLoad(tex2DMSArray, _e29.xy, _e29.z, 3);
    c_8 = _e33;
    return;
}

fn main_1() {
    return;
}

@fragment 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/shadow.wgsl
================================================
struct Globals {
    view_proj: mat4x4<f32>,
    num_lights: vec4<u32>,
}

struct Entity {
    world: mat4x4<f32>,
    color: vec4<f32>,
}

struct VertexOutput {
    @builtin(position) proj_position: vec4<f32>,
    @location(0) world_normal: vec3<f32>,
    @location(1) world_position: vec4<f32>,
}

struct Light {
    proj: mat4x4<f32>,
    pos: vec4<f32>,
    color: vec4<f32>,
}

let c_ambient: vec3<f32> = vec3<f32>(0.05000000074505806, 0.05000000074505806, 0.05000000074505806);
let c_max_lights: u32 = 10u;

@group(0) @binding(0) 
var<uniform> u_globals: Globals;
@group(1) @binding(0) 
var<uniform> u_entity: Entity;
@group(0) @binding(1) 
var<storage> s_lights: array<Light>;
@group(0) @binding(1) 
var<uniform> u_lights: array<Light,10>;
@group(0) @binding(2) 
var t_shadow: texture_depth_2d_array;
@group(0) @binding(3) 
var sampler_shadow: sampler_comparison;

fn fetch_shadow(light_id: u32, homogeneous_coords: vec4<f32>) -> f32 {
    if (homogeneous_coords.w <= 0.0) {
        return 1.0;
    }
    let flip_correction = vec2<f32>(0.5, -0.5);
    let proj_correction = (1.0 / homogeneous_coords.w);
    let light_local = (((homogeneous_coords.xy * flip_correction) * proj_correction) + vec2<f32>(0.5, 0.5));
    let _e28 = textureSampleCompareLevel(t_shadow, sampler_shadow, light_local, i32(light_id), (homogeneous_coords.z * proj_correction));
    return _e28;
}

@vertex 
fn vs_main(@location(0) position: vec4<i32>, @location(1) normal: vec4<i32>) -> VertexOutput {
    var out: VertexOutput;

    let w = u_entity.world;
    let _e7 = u_entity.world;
    let world_pos = (_e7 * vec4<f32>(position));
    out.world_normal = (mat3x3<f32>(w[0].xyz, w[1].xyz, w[2].xyz) * vec3<f32>(normal.xyz));
    out.world_position = world_pos;
    let _e25 = u_globals.view_proj;
    out.proj_position = (_e25 * world_pos);
    let _e27 = out;
    return _e27;
}

@fragment 
fn fs_main(in: VertexOutput) -> @location(0) vec4<f32> {
    var color: vec3<f32> = vec3<f32>(0.05000000074505806, 0.05000000074505806, 0.05000000074505806);
    var i: u32 = 0u;

    let normal_1 = normalize(in.world_normal);
    loop {
        let _e14 = i;
        let _e17 = u_globals.num_lights.x;
        if (_e14 < min(_e17, c_max_lights)) {
        } else {
            break;
        }
        let _e23 = i;
        let light = s_lights[_e23];
        let _e26 = i;
        let _e30 = fetch_shadow(_e26, (light.proj * in.world_position));
        let light_dir = normalize((light.pos.xyz - in.world_position.xyz));
        let diffuse = max(0.0, dot(normal_1, light_dir));
        let _e40 = color;
        color = (_e40 + ((_e30 * diffuse) * light.color.xyz));
        continuing {
            let _e20 = i;
            i = (_e20 + 1u);
        }
    }
    let _e46 = color;
    let _e50 = u_entity.color;
    return (vec4<f32>(_e46, 1.0) * _e50);
}

@fragment 
fn fs_main_without_storage(in_1: VertexOutput) -> @location(0) vec4<f32> {
    var color_1: vec3<f32> = vec3<f32>(0.05000000074505806, 0.05000000074505806, 0.05000000074505806);
    var i_1: u32 = 0u;

    let normal_2 = normalize(in_1.world_normal);
    loop {
        let _e14 = i_1;
        let _e17 = u_globals.num_lights.x;
        if (_e14 < min(_e17, c_max_lights)) {
        } else {
            break;
        }
        let _e23 = i_1;
        let light_1 = u_lights[_e23];
        let _e26 = i_1;
        let _e30 = fetch_shadow(_e26, (light_1.proj * in_1.world_position));
        let light_dir_1 = normalize((light_1.pos.xyz - in_1.world_position.xyz));
        let diffuse_1 = max(0.0, dot(normal_2, light_dir_1));
        let _e40 = color_1;
        color_1 = (_e40 + ((_e30 * diffuse_1) * light_1.color.xyz));
        continuing {
            let _e20 = i_1;
            i_1 = (_e20 + 1u);
        }
    }
    let _e46 = color_1;
    let _e50 = u_entity.color;
    return (vec4<f32>(_e46, 1.0) * _e50);
}


================================================
FILE: lib/naga/tests/out/wgsl/skybox.wgsl
================================================
struct VertexOutput {
    @builtin(position) position: vec4<f32>,
    @location(0) uv: vec3<f32>,
}

struct Data {
    proj_inv: mat4x4<f32>,
    view: mat4x4<f32>,
}

@group(0) @binding(0) 
var<uniform> r_data: Data;
@group(0) @binding(1) 
var r_texture: texture_cube<f32>;
@group(0) @binding(2) 
var r_sampler: sampler;

@vertex 
fn vs_main(@builtin(vertex_index) vertex_index: u32) -> VertexOutput {
    var tmp1_: i32;
    var tmp2_: i32;

    tmp1_ = (i32(vertex_index) / 2);
    tmp2_ = (i32(vertex_index) & 1);
    let _e10 = tmp1_;
    let _e16 = tmp2_;
    let pos = vec4<f32>(((f32(_e10) * 4.0) - 1.0), ((f32(_e16) * 4.0) - 1.0), 0.0, 1.0);
    let _e27 = r_data.view[0];
    let _e31 = r_data.view[1];
    let _e35 = r_data.view[2];
    let inv_model_view = transpose(mat3x3<f32>(_e27.xyz, _e31.xyz, _e35.xyz));
    let _e40 = r_data.proj_inv;
    let unprojected = (_e40 * pos);
    return VertexOutput(pos, (inv_model_view * unprojected.xyz));
}

@fragment 
fn fs_main(in: VertexOutput) -> @location(0) vec4<f32> {
    let _e5 = textureSample(r_texture, r_sampler, in.uv);
    return _e5;
}


================================================
FILE: lib/naga/tests/out/wgsl/standard.wgsl
================================================
@fragment 
fn derivatives(@builtin(position) foo: vec4<f32>) -> @location(0) vec4<f32> {
    let x = dpdx(foo);
    let y = dpdy(foo);
    let z = fwidth(foo);
    return ((x + y) * z);
}


================================================
FILE: lib/naga/tests/out/wgsl/statements-frag.wgsl
================================================
fn switchEmpty(a: i32) {
    var a_1: i32;

    a_1 = a;
    let _e2 = a_1;
    switch _e2 {
        default: {
        }
    }
    return;
}

fn switchNoDefault(a_2: i32) {
    var a_3: i32;

    a_3 = a_2;
    let _e2 = a_3;
    switch _e2 {
        case 0: {
        }
        default: {
        }
    }
    return;
}

fn switchNoLastBreak(a_4: i32) {
    var a_5: i32;
    var b: i32;

    a_5 = a_4;
    let _e2 = a_5;
    switch _e2 {
        default: {
            let _e3 = a_5;
            b = _e3;
        }
    }
    return;
}

fn main_1() {
    return;
}

@fragment 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/swizzle_write-frag.wgsl
================================================
fn foo(p: ptr<function, vec2<f32>>) {
    return;
}

fn main_1() {
    var x: vec3<f32>;
    var local: vec2<f32>;

    x = vec3<f32>(2.0);
    let _e3 = x;
    _ = _e3.zxy;
    _ = _e3.zx;
    let _e8 = vec2<f32>(3.0, 4.0);
    x.z = _e8.x;
    x.x = _e8.y;
    let _e13 = x;
    _ = _e13.xy;
    let _e15 = x;
    let _e18 = (_e15.xy * 5.0);
    x.x = _e18.x;
    x.y = _e18.y;
    let _e23 = x;
    let _e27 = (_e23.zy + vec2<f32>(1.0));
    x.z = _e27.x;
    x.y = _e27.y;
    let _e32 = x;
    _ = _e32.xz;
    let _e34 = x;
    local = _e34.xz;
    foo((&local));
    let _e41 = local.x;
    x.x = _e41;
    let _e42 = local.y;
    x.z = _e42;
    return;
}

@fragment 
fn main() {
    main_1();
    return;
}


================================================
FILE: lib/naga/tests/out/wgsl/texture-arg.wgsl
================================================
@group(0) @binding(0) 
var Texture: texture_2d<f32>;
@group(0) @binding(1) 
var Sampler: sampler;

fn test(Passed_Texture: texture_2d<f32>, Passed_Sampler: sampler) -> vec4<f32> {
    let _e7 = textureSample(Passed_Texture, Passed_Sampler, vec2<f32>(0.0, 0.0));
    return _e7;
}

@fragment 
fn main() -> @location(0) vec4<f32> {
    let _e2 = test(Texture, Sampler);
    return _e2;
}


================================================
FILE: lib/naga/tests/snapshots.rs
================================================
// A lot of the code can be unused based on configuration flags,
// the corresponding warnings aren't helpful.
#![allow(dead_code)]

use std::{fs, path::PathBuf};

const BASE_DIR_IN: &str = "tests/in";
const BASE_DIR_OUT: &str = "tests/out";

bitflags::bitflags! {
    struct Targets: u32 {
        const IR = 0x1;
        const ANALYSIS = 0x2;
        const SPIRV = 0x4;
        const METAL = 0x8;
        const GLSL = 0x10;
        const DOT = 0x20;
        const HLSL = 0x40;
        const WGSL = 0x80;
    }
}

#[derive(serde::Deserialize)]
struct SpvOutVersion(u8, u8);
impl Default for SpvOutVersion {
    fn default() -> Self {
        SpvOutVersion(1, 1)
    }
}

#[derive(Default, serde::Deserialize)]
struct SpirvOutParameters {
    version: SpvOutVersion,
    #[serde(default)]
    capabilities: naga::FastHashSet<spirv::Capability>,
    #[serde(default)]
    debug: bool,
    #[serde(default)]
    adjust_coordinate_space: bool,
    #[serde(default)]
    force_point_size: bool,
    #[serde(default)]
    clamp_frag_depth: bool,
    #[serde(default)]
    separate_entry_points: bool,
    #[serde(default)]
    #[cfg(all(feature = "deserialize", feature = "spv-out"))]
    binding_map: naga::back::spv::BindingMap,
}

#[derive(Default, serde::Deserialize)]
struct WgslOutParameters {
    #[serde(default)]
    explicit_types: bool,
}

#[derive(Default, serde::Deserialize)]
struct Parameters {
    #[serde(default)]
    god_mode: bool,
    #[cfg(feature = "deserialize")]
    #[serde(default)]
    bounds_check_policies: naga::proc::BoundsCheckPolicies,
    #[serde(default)]
    spv: SpirvOutParameters,
    #[cfg(all(feature = "deserialize", feature = "msl-out"))]
    #[serde(default)]
    msl: naga::back::msl::Options,
    #[cfg(all(feature = "deserialize", feature = "msl-out"))]
    #[serde(default)]
    msl_pipeline: naga::back::msl::PipelineOptions,
    #[cfg(all(feature = "deserialize", feature = "glsl-out"))]
    #[serde(default)]
    glsl: naga::back::glsl::Options,
    #[serde(default)]
    glsl_exclude_list: naga::FastHashSet<String>,
    #[cfg(all(feature = "deserialize", feature = "hlsl-out"))]
    #[serde(default)]
    hlsl: naga::back::hlsl::Options,
    #[serde(default)]
    wgsl: WgslOutParameters,
    #[cfg(all(feature = "deserialize", feature = "glsl-out"))]
    #[serde(default)]
    glsl_multiview: Option<std::num::NonZeroU32>,
}

#[allow(unused_variables)]
fn check_targets(module: &naga::Module, name: &str, targets: Targets) {
    let root = env!("CARGO_MANIFEST_DIR");
    let params = match fs::read_to_string(format!("{}/{}/{}.param.ron", root, BASE_DIR_IN, name)) {
        Ok(string) => ron::de::from_str(&string).expect("Couldn't parse param file"),
        Err(_) => Parameters::default(),
    };

    let capabilities = if params.god_mode {
        naga::valid::Capabilities::all()
    } else {
        naga::valid::Capabilities::empty()
    };

    let dest = PathBuf::from(root).join(BASE_DIR_OUT);

    #[cfg(feature = "serialize")]
    {
        if targets.contains(Targets::IR) {
            let config = ron::ser::PrettyConfig::default().new_line("\n".to_string());
            let string = ron::ser::to_string_pretty(module, config).unwrap();
            fs::write(dest.join(format!("ir/{}.ron", name)), string).unwrap();
        }
    }

    let info = naga::valid::Validator::new(naga::valid::ValidationFlags::all(), capabilities)
        .validate(module)
        .expect("Naga module validation failed");

    #[cfg(feature = "serialize")]
    {
        if targets.contains(Targets::ANALYSIS) {
            let config = ron::ser::PrettyConfig::default().new_line("\n".to_string());
            let string = ron::ser::to_string_pretty(&info, config).unwrap();
            fs::write(dest.join(format!("analysis/{}.info.ron", name)), string).unwrap();
        }
    }

    #[cfg(all(feature = "deserialize", feature = "spv-out"))]
    {
        if targets.contains(Targets::SPIRV) {
            write_output_spv(
                module,
                &info,
                &dest,
                name,
                &params.spv,
                params.bounds_check_policies,
            );
        }
    }
    #[cfg(all(feature = "deserialize", feature = "msl-out"))]
    {
        if targets.contains(Targets::METAL) {
            write_output_msl(
                module,
                &info,
                &dest,
                name,
                &params.msl,
                &params.msl_pipeline,
                params.bounds_check_policies,
            );
        }
    }
    #[cfg(all(feature = "deserialize", feature = "glsl-out"))]
    {
        if targets.contains(Targets::GLSL) {
            for ep in module.entry_points.iter() {
                if params.glsl_exclude_list.contains(&ep.name) {
                    continue;
                }
                write_output_glsl(
                    module,
                    &info,
                    &dest,
                    name,
                    ep.stage,
                    &ep.name,
                    &params.glsl,
                    params.bounds_check_policies,
                    params.glsl_multiview,
                );
            }
        }
    }
    #[cfg(feature = "dot-out")]
    {
        if targets.contains(Targets::DOT) {
            let string = naga::back::dot::write(module, Some(&info), Default::default()).unwrap();
            fs::write(dest.join(format!("dot/{}.dot", name)), string).unwrap();
        }
    }
    #[cfg(all(feature = "deserialize", feature = "hlsl-out"))]
    {
        if targets.contains(Targets::HLSL) {
            write_output_hlsl(module, &info, &dest, name, &params.hlsl);
        }
    }
    #[cfg(all(feature = "deserialize", feature = "wgsl-out"))]
    {
        if targets.contains(Targets::WGSL) {
            write_output_wgsl(module, &info, &dest, name, &params.wgsl);
        }
    }
}

#[cfg(feature = "spv-out")]
fn write_output_spv(
    module: &naga::Module,
    info: &naga::valid::ModuleInfo,
    destination: &PathBuf,
    file_name: &str,
    params: &SpirvOutParameters,
    bounds_check_policies: naga::proc::BoundsCheckPolicies,
) {
    use naga::back::spv;
    use rspirv::binary::Disassemble;

    println!("writing SPIR-V");

    let mut flags = spv::WriterFlags::LABEL_VARYINGS;
    flags.set(spv::WriterFlags::DEBUG, params.debug);
    flags.set(
        spv::WriterFlags::ADJUST_COORDINATE_SPACE,
        params.adjust_coordinate_space,
    );
    flags.set(spv::WriterFlags::FORCE_POINT_SIZE, params.force_point_size);
    flags.set(spv::WriterFlags::CLAMP_FRAG_DEPTH, params.clamp_frag_depth);

    let options = spv::Options {
        lang_version: (params.version.0, params.version.1),
        flags,
        capabilities: if params.capabilities.is_empty() {
            None
        } else {
            Some(params.capabilities.clone())
        },
        bounds_check_policies,
        binding_map: params.binding_map.clone(),
        ..spv::Options::default()
    };

    if params.separate_entry_points {
        for ep in module.entry_points.iter() {
            let pipeline_options = spv::PipelineOptions {
                entry_point: ep.name.clone(),
                shader_stage: ep.stage,
            };
            let spv = spv::write_vec(module, info, &options, Some(&pipeline_options)).unwrap();
            let dis = rspirv::dr::load_words(spv)
                .expect("Produced invalid SPIR-V")
                .disassemble();
            let path = format!("spv/{}.{}.spvasm", file_name, ep.name);
            fs::write(destination.join(path), dis).unwrap();
        }
    } else {
        let spv = spv::write_vec(module, info, &options, None).unwrap();
        let dis = rspirv::dr::load_words(spv)
            .expect("Produced invalid SPIR-V")
            .disassemble();
        fs::write(destination.join(format!("spv/{}.spvasm", file_name)), dis).unwrap();
    }
}

#[cfg(feature = "msl-out")]
fn write_output_msl(
    module: &naga::Module,
    info: &naga::valid::ModuleInfo,
    destination: &PathBuf,
    file_name: &str,
    options: &naga::back::msl::Options,
    pipeline_options: &naga::back::msl::PipelineOptions,
    bounds_check_policies: naga::proc::BoundsCheckPolicies,
) {
    use naga::back::msl;

    println!("writing MSL");

    let mut options = options.clone();
    options.bounds_check_policies = bounds_check_policies;
    let (string, tr_info) = msl::write_string(module, info, &options, pipeline_options)
        .unwrap_or_else(|err| panic!("Metal write failed: {}", err));

    for (ep, result) in module.entry_points.iter().zip(tr_info.entry_point_names) {
        if let Err(error) = result {
            panic!("Failed to translate '{}': {}", ep.name, error);
        }
    }

    fs::write(destination.join(format!("msl/{}.msl", file_name)), string).unwrap();
}

#[cfg(feature = "glsl-out")]
fn write_output_glsl(
    module: &naga::Module,
    info: &naga::valid::ModuleInfo,
    destination: &PathBuf,
    file_name: &str,
    stage: naga::ShaderStage,
    ep_name: &str,
    options: &naga::back::glsl::Options,
    bounds_check_policies: naga::proc::BoundsCheckPolicies,
    multiview: Option<std::num::NonZeroU32>,
) {
    use naga::back::glsl;

    println!("writing GLSL");

    let pipeline_options = glsl::PipelineOptions {
        shader_stage: stage,
        entry_point: ep_name.to_string(),
        multiview,
    };

    let mut buffer = String::new();
    let mut writer = glsl::Writer::new(
        &mut buffer,
        module,
        info,
        options,
        &pipeline_options,
        bounds_check_policies,
    )
    .expect("GLSL init failed");
    writer.write().expect("GLSL write failed");

    fs::write(
        destination.join(format!("glsl/{}.{}.{:?}.glsl", file_name, ep_name, stage)),
        buffer,
    )
    .unwrap();
}

#[cfg(feature = "hlsl-out")]
fn write_output_hlsl(
    module: &naga::Module,
    info: &naga::valid::ModuleInfo,
    destination: &PathBuf,
    file_name: &str,
    options: &naga::back::hlsl::Options,
) {
    use naga::back::hlsl;
    use std::fmt::Write as _;

    println!("writing HLSL");

    let mut buffer = String::new();
    let mut writer = hlsl::Writer::new(&mut buffer, options);
    let reflection_info = writer.write(module, info).expect("HLSL write failed");

    fs::write(destination.join(format!("hlsl/{}.hlsl", file_name)), buffer).unwrap();

    // We need a config file for validation script
    // This file contains an info about profiles (shader stages) contains inside generated shader
    // This info will be passed to dxc
    let mut config_str = String::new();
    let mut vertex_str = String::from("vertex=(");
    let mut fragment_str = String::from("fragment=(");
    let mut compute_str = String::from("compute=(");
    for (index, ep) in module.entry_points.iter().enumerate() {
        let name = match reflection_info.entry_point_names[index] {
            Ok(ref name) => name,
            Err(_) => continue,
        };
        match ep.stage {
            naga::ShaderStage::Vertex => {
                write!(
                    vertex_str,
                    "{}:{}_{} ",
                    name,
                    ep.stage.to_hlsl_str(),
                    options.shader_model.to_str(),
                )
                .unwrap();
            }
            naga::ShaderStage::Fragment => {
                write!(
                    fragment_str,
                    "{}:{}_{} ",
                    name,
                    ep.stage.to_hlsl_str(),
                    options.shader_model.to_str(),
                )
                .unwrap();
            }
            naga::ShaderStage::Compute => {
                write!(
                    compute_str,
                    "{}:{}_{} ",
                    name,
                    ep.stage.to_hlsl_str(),
                    options.shader_model.to_str(),
                )
                .unwrap();
            }
        }
    }

    writeln!(
        config_str,
        "{})\n{})\n{})",
        vertex_str, fragment_str, compute_str
    )
    .unwrap();

    fs::write(
        destination.join(format!("hlsl/{}.hlsl.config", file_name)),
        config_str,
    )
    .unwrap();
}

#[cfg(feature = "wgsl-out")]
fn write_output_wgsl(
    module: &naga::Module,
    info: &naga::valid::ModuleInfo,
    destination: &PathBuf,
    file_name: &str,
    params: &WgslOutParameters,
) {
    use naga::back::wgsl;

    println!("writing WGSL");

    let mut flags = wgsl::WriterFlags::empty();
    flags.set(wgsl::WriterFlags::EXPLICIT_TYPES, params.explicit_types);

    let string = wgsl::write_string(module, info, flags).expect("WGSL write failed");

    fs::write(destination.join(format!("wgsl/{}.wgsl", file_name)), string).unwrap();
}

#[cfg(feature = "wgsl-in")]
#[test]
fn convert_wgsl() {
    let _ = env_logger::try_init();

    let root = env!("CARGO_MANIFEST_DIR");
    let inputs = [
        (
            "empty",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        (
            "quad",
            Targets::SPIRV
                | Targets::METAL
                | Targets::GLSL
                | Targets::DOT
                | Targets::HLSL
                | Targets::WGSL,
        ),
        (
            "bits",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::WGSL,
        ),
        (
            "bitcast",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::WGSL,
        ),
        (
            "boids",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        (
            "skybox",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        (
            "collatz",
            Targets::SPIRV
                | Targets::METAL
                | Targets::IR
                | Targets::ANALYSIS
                | Targets::HLSL
                | Targets::WGSL,
        ),
        (
            "shadow",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        (
            "image",
            Targets::SPIRV | Targets::METAL | Targets::HLSL | Targets::WGSL | Targets::GLSL,
        ),
        ("extra", Targets::SPIRV | Targets::METAL | Targets::WGSL),
        ("push-constants", Targets::GLSL | Targets::HLSL),
        (
            "operators",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        (
            "functions",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        ("functions-webgl", Targets::GLSL),
        (
            "interpolate",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        (
            "access",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        (
            "padding",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        ("pointers", Targets::SPIRV | Targets::WGSL),
        (
            "control-flow",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        (
            "standard",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        //TODO: GLSL https://github.com/gfx-rs/naga/issues/874
        (
            "interface",
            Targets::SPIRV | Targets::METAL | Targets::HLSL | Targets::WGSL,
        ),
        (
            "globals",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        ("bounds-check-zero", Targets::SPIRV | Targets::METAL),
        ("bounds-check-zero-atomic", Targets::METAL),
        ("bounds-check-restrict", Targets::SPIRV | Targets::METAL),
        (
            "bounds-check-image-restrict",
            Targets::SPIRV | Targets::METAL | Targets::GLSL,
        ),
        (
            "bounds-check-image-rzsw",
            Targets::SPIRV | Targets::METAL | Targets::GLSL,
        ),
        ("policy-mix", Targets::SPIRV | Targets::METAL),
        (
            "texture-arg",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        ("cubeArrayShadow", Targets::GLSL),
        (
            "math-functions",
            Targets::SPIRV | Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
        ),
        ("cubeArrayShadow", Targets::GLSL),
        (
            "binding-arrays",
            Targets::WGSL | Targets::HLSL | Targets::METAL | Targets::SPIRV,
        ),
        ("multiview", Targets::SPIRV | Targets::GLSL | Targets::WGSL),
        ("multiview_webgl", Targets::GLSL),
        (
            "break-if",
            Targets::WGSL | Targets::GLSL | Targets::SPIRV | Targets::HLSL | Targets::METAL,
        ),
        ("lexical-scopes", Targets::WGSL),
    ];

    for &(name, targets) in inputs.iter() {
        println!("Processing '{}'", name);
        // WGSL shaders lives in root dir as a privileged.
        let file = fs::read_to_string(format!("{}/{}/{}.wgsl", root, BASE_DIR_IN, name))
            .expect("Couldn't find wgsl file");
        match naga::front::wgsl::parse_str(&file) {
            Ok(module) => check_targets(&module, name, targets),
            Err(e) => panic!("{}", e.emit_to_string(&file)),
        }
    }
}

#[cfg(feature = "spv-in")]
fn convert_spv(name: &str, adjust_coordinate_space: bool, targets: Targets) {
    let _ = env_logger::try_init();

    let root = env!("CARGO_MANIFEST_DIR");
    let module = naga::front::spv::parse_u8_slice(
        &fs::read(format!("{}/{}/spv/{}.spv", root, BASE_DIR_IN, name))
            .expect("Couldn't find spv file"),
        &naga::front::spv::Options {
            adjust_coordinate_space,
            strict_capabilities: false,
            block_ctx_dump_prefix: None,
        },
    )
    .unwrap();
    check_targets(&module, name, targets);
    naga::valid::Validator::new(
        naga::valid::ValidationFlags::all(),
        naga::valid::Capabilities::empty(),
    )
    .validate(&module)
    .unwrap();
}

#[cfg(feature = "spv-in")]
#[test]
fn convert_spv_all() {
    convert_spv(
        "quad-vert",
        false,
        Targets::METAL | Targets::GLSL | Targets::HLSL | Targets::WGSL,
    );
    convert_spv("shadow", true, Targets::IR | Targets::ANALYSIS);
    convert_spv(
        "inv-hyperbolic-trig-functions",
        true,
        Targets::HLSL | Targets::WGSL,
    );
    convert_spv(
        "empty-global-name",
        true,
        Targets::HLSL | Targets::WGSL | Targets::METAL,
    );
    convert_spv(
        "empty-global-name",
        true,
        Targets::HLSL | Targets::WGSL | Targets::METAL,
    );
    convert_spv("degrees", false, Targets::empty());
}

#[cfg(feature = "glsl-in")]
#[test]
fn convert_glsl_variations_check() {
    let root = env!("CARGO_MANIFEST_DIR");
    let file = fs::read_to_string(format!("{}/{}/variations.glsl", root, BASE_DIR_IN))
        .expect("Couldn't find glsl file");
    let mut parser = naga::front::glsl::Parser::default();
    let module = parser
        .parse(
            &naga::front::glsl::Options {
                stage: naga::ShaderStage::Fragment,
                defines: Default::default(),
            },
            &file,
        )
        .unwrap();
    check_targets(&module, "variations-glsl", Targets::GLSL);
}

#[cfg(feature = "glsl-in")]
#[allow(unused_variables)]
#[test]
fn convert_glsl_folder() {
    let _ = env_logger::try_init();

    let root = env!("CARGO_MANIFEST_DIR");

    for entry in std::fs::read_dir(format!("{}/{}/glsl", root, BASE_DIR_IN)).unwrap() {
        let entry = entry.unwrap();
        let file_name = entry.file_name().into_string().unwrap();

        if file_name.ends_with(".ron") {
            // No needed to validate ron files
            continue;
        }
        println!("Processing {}", file_name);

        let mut parser = naga::front::glsl::Parser::default();
        let module = parser
            .parse(
                &naga::front::glsl::Options {
                    stage: match entry.path().extension().and_then(|s| s.to_str()).unwrap() {
                        "vert" => naga::ShaderStage::Vertex,
                        "frag" => naga::ShaderStage::Fragment,
                        "comp" => naga::ShaderStage::Compute,
                        ext => panic!("Unknown extension for glsl file {}", ext),
                    },
                    defines: Default::default(),
                },
                &fs::read_to_string(entry.path()).expect("Couldn't find glsl file"),
            )
            .unwrap();

        let info = naga::valid::Validator::new(
            naga::valid::ValidationFlags::all(),
            naga::valid::Capabilities::all(),
        )
        .validate(&module)
        .unwrap();

        #[cfg(feature = "wgsl-out")]
        {
            let dest = PathBuf::from(root).join(BASE_DIR_OUT);
            write_output_wgsl(
                &module,
                &info,
                &dest,
                &file_name.replace(".", "-"),
                &WgslOutParameters::default(),
            );
        }
    }
}


================================================
FILE: lib/naga/tests/spirv-capabilities.rs
================================================
/*!
Test SPIR-V backend capability checks.
*/

#![cfg(all(feature = "wgsl-in", feature = "spv-out"))]

use spirv::Capability as Ca;

fn capabilities_used(source: &str) -> naga::FastHashSet<Ca> {
    use naga::back::spv;
    use naga::valid;

    let module = naga::front::wgsl::parse_str(source).unwrap_or_else(|e| {
        panic!(
            "expected WGSL to parse successfully:\n{}",
            e.emit_to_string(source)
        );
    });

    let info = valid::Validator::new(valid::ValidationFlags::all(), valid::Capabilities::all())
        .validate(&module)
        .expect("validation failed");

    let mut words = vec![];
    let mut writer = spv::Writer::new(&spv::Options::default()).unwrap();
    writer.write(&module, &info, None, &mut words).unwrap();
    writer.get_capabilities_used().clone()
}

fn require(capabilities: &[Ca], source: &str) {
    require_and_forbid(capabilities, &[], source);
}

fn require_and_forbid(required: &[Ca], forbidden: &[Ca], source: &str) {
    let caps_used = capabilities_used(source);

    let missing_caps: Vec<_> = required
        .iter()
        .filter(|cap| !caps_used.contains(cap))
        .cloned()
        .collect();
    if !missing_caps.is_empty() {
        panic!(
            "shader code should have requested these caps: {:?}\n\n{}",
            missing_caps, source
        );
    }

    let forbidden_caps: Vec<_> = forbidden
        .iter()
        .filter(|cap| caps_used.contains(cap))
        .cloned()
        .collect();
    if !forbidden_caps.is_empty() {
        panic!(
            "shader code should not have requested these caps: {:?}\n\n{}",
            forbidden_caps, source
        );
    }
}

#[test]
fn sampler1d() {
    require(
        &[Ca::Sampled1D],
        r#"
        @group(0) @binding(0)
        var image_1d: texture_1d<f32>;
    "#,
    );
}

#[test]
fn storage1d() {
    require(
        &[Ca::Image1D],
        r#"
        @group(0) @binding(0)
        var image_1d: texture_storage_1d<rgba8unorm,write>;
    "#,
    );
}

#[test]
fn cube_array() {
    // ImageCubeArray is only for storage cube array images, which WGSL doesn't
    // support
    require_and_forbid(
        &[Ca::SampledCubeArray],
        &[Ca::ImageCubeArray],
        r#"
        @group(0) @binding(0)
        var image_cube: texture_cube_array<f32>;
    "#,
    );
}

#[test]
fn image_queries() {
    require(
        &[Ca::ImageQuery],
        r#"
        fn f(i: texture_2d<f32>) -> vec2<i32> {
            return textureDimensions(i);
        }
    "#,
    );
    require(
        &[Ca::ImageQuery],
        r#"
        fn f(i: texture_2d_array<f32>) -> i32 {
            return textureNumLayers(i);
        }
    "#,
    );
    require(
        &[Ca::ImageQuery],
        r#"
        fn f(i: texture_2d<f32>) -> i32 {
            return textureNumLevels(i);
        }
    "#,
    );
    require(
        &[Ca::ImageQuery],
        r#"
        fn f(i: texture_multisampled_2d<f32>) -> i32 {
            return textureNumSamples(i);
        }
    "#,
    );
}

#[test]
fn sample_rate_shading() {
    require(
        &[Ca::SampleRateShading],
        r#"
        @fragment
        fn f(@location(0) @interpolate(perspective, sample) x: f32) { }
    "#,
    );

    require(
        &[Ca::SampleRateShading],
        r#"
        @fragment
        fn f(@builtin(sample_index) x: u32) { }
    "#,
    );
}

#[test]
fn geometry() {
    require(
        &[Ca::Geometry],
        r#"
        @fragment
        fn f(@builtin(primitive_index) x: u32) { }
    "#,
    );
}

#[test]
fn storage_image_formats() {
    require_and_forbid(
        &[Ca::Shader],
        &[Ca::StorageImageExtendedFormats],
        r#"
            @group(0) @binding(0)
            var image_rg32f: texture_storage_2d<rgba16uint, read>;
        "#,
    );

    require(
        &[Ca::StorageImageExtendedFormats],
        r#"
            @group(0) @binding(0)
            var image_rg32f: texture_storage_2d<rg32float, read>;
        "#,
    );
}


================================================
FILE: lib/naga/tests/wgsl-errors.rs
================================================
/*!
Tests for the WGSL front end.
*/
#![cfg(feature = "wgsl-in")]

fn check(input: &str, snapshot: &str) {
    let output = naga::front::wgsl::parse_str(input)
        .expect_err("expected parser error")
        .emit_to_string(input);
    if output != snapshot {
        for diff in diff::lines(&output, snapshot) {
            match diff {
                diff::Result::Left(l) => println!("-{}", l),
                diff::Result::Both(l, _) => println!(" {}", l),
                diff::Result::Right(r) => println!("+{}", r),
            }
        }
        panic!("Error snapshot failed");
    }
}

#[test]
fn reserved_identifier_prefix() {
    check(
        "var __bad;",
        r###"error: Identifier starts with a reserved prefix: '__bad'
  ┌─ wgsl:1:5
  │
1 │ var __bad;
  │     ^^^^^ invalid identifier

"###,
    );
}

#[test]
fn function_without_identifier() {
    check(
        "fn () {}",
        r###"error: expected identifier, found '('
  ┌─ wgsl:1:4
  │
1 │ fn () {}
  │    ^ expected identifier

"###,
    );
}

#[test]
fn invalid_integer() {
    check(
        "fn foo([location(1.)] x: i32) {}",
        r###"error: expected identifier, found '['
  ┌─ wgsl:1:8
  │
1 │ fn foo([location(1.)] x: i32) {}
  │        ^ expected identifier

"###,
    );
}

#[test]
fn invalid_float() {
    check(
        "let scale: f32 = 1.1.;",
        r###"error: expected ';', found '.'
  ┌─ wgsl:1:21
  │
1 │ let scale: f32 = 1.1.;
  │                     ^ expected ';'

"###,
    );
}

#[test]
fn invalid_texture_sample_type() {
    check(
        "let x: texture_2d<f16>;",
        r###"error: texture sample type must be one of f32, i32 or u32, but found f16
  ┌─ wgsl:1:19
  │
1 │ let x: texture_2d<f16>;
  │                   ^^^ must be one of f32, i32 or u32

"###,
    );
}

#[test]
fn unknown_identifier() {
    check(
        r###"
              fn f(x: f32) -> f32 {
                  return x * schmoo;
              }
          "###,
        r###"error: no definition in scope for identifier: 'schmoo'
  ┌─ wgsl:3:30
  │
3 │                   return x * schmoo;
  │                              ^^^^^^ unknown identifier

"###,
    );
}

#[test]
fn negative_index() {
    check(
        r#"
            fn main() -> f32 {
                let a = array<f32, 3>(0., 1., 2.);
                return a[-1];
            }
        "#,
        r#"error: expected unsigned integer constant expression, found `-1`
  ┌─ wgsl:4:26
  │
4 │                 return a[-1];
  │                          ^^ expected unsigned integer

"#,
    );
}

#[test]
fn bad_texture() {
    check(
        r#"
            @group(0) @binding(0) var sampler1 : sampler;

            @fragment
            fn main() -> @location(0) vec4<f32> {
                let a = 3;
                return textureSample(a, sampler1, vec2<f32>(0.0));
            }
        "#,
        r#"error: expected an image, but found 'a' which is not an image
  ┌─ wgsl:7:38
  │
7 │                 return textureSample(a, sampler1, vec2<f32>(0.0));
  │                                      ^ not an image

"#,
    );
}

#[test]
fn bad_type_cast() {
    check(
        r#"
            fn x() -> i32 {
                return i32(vec2<f32>(0.0));
            }
        "#,
        r#"error: cannot cast a vec2<f32> to a i32
  ┌─ wgsl:3:28
  │
3 │                 return i32(vec2<f32>(0.0));
  │                            ^^^^^^^^^^^^^^ cannot cast a vec2<f32> to a i32

"#,
    );
}

#[test]
fn type_not_constructible() {
    check(
        r#"
            fn x() {
                _ = atomic<i32>(0);
            }
        "#,
        r#"error: type `atomic` is not constructible
  ┌─ wgsl:3:21
  │
3 │                 _ = atomic<i32>(0);
  │                     ^^^^^^ type is not constructible

"#,
    );
}

#[test]
fn type_not_inferrable() {
    check(
        r#"
            fn x() {
                _ = vec2();
            }
        "#,
        r#"error: type can't be inferred
  ┌─ wgsl:3:21
  │
3 │                 _ = vec2();
  │                     ^^^^ type can't be inferred

"#,
    );
}

#[test]
fn unexpected_constructor_parameters() {
    check(
        r#"
            fn x() {
                _ = i32(0, 1);
            }
        "#,
        r#"error: unexpected components
  ┌─ wgsl:3:27
  │
3 │                 _ = i32(0, 1);
  │                           ^^ unexpected components

"#,
    );
}

#[test]
fn constructor_parameter_type_mismatch() {
    check(
        r#"
            fn x() {
                _ = mat2x2<f32>(array(0, 1), vec2(2, 3));
            }
        "#,
        r#"error: invalid type for constructor component at index [0]
  ┌─ wgsl:3:33
  │
3 │                 _ = mat2x2<f32>(array(0, 1), vec2(2, 3));
  │                                 ^^^^^^^^^^^ invalid component type

"#,
    );
}

#[test]
fn bad_texture_sample_type() {
    check(
        r#"
            @group(0) @binding(0) var sampler1 : sampler;
            @group(0) @binding(1) var texture : texture_2d<bool>;

            @fragment
            fn main() -> @location(0) vec4<f32> {
                return textureSample(texture, sampler1, vec2<f32>(0.0));
            }
        "#,
        r#"error: texture sample type must be one of f32, i32 or u32, but found bool
  ┌─ wgsl:3:60
  │
3 │             @group(0) @binding(1) var texture : texture_2d<bool>;
  │                                                            ^^^^ must be one of f32, i32 or u32

"#,
    );
}

#[test]
fn bad_for_initializer() {
    check(
        r#"
            fn x() {
                for ({};;) {}
            }
        "#,
        r#"error: for(;;) initializer is not an assignment or a function call: '{}'
  ┌─ wgsl:3:22
  │
3 │                 for ({};;) {}
  │                      ^^ not an assignment or function call

"#,
    );
}

#[test]
fn unknown_storage_class() {
    check(
        r#"
            @group(0) @binding(0) var<bad> texture: texture_2d<f32>;
        "#,
        r#"error: unknown address space: 'bad'
  ┌─ wgsl:2:39
  │
2 │             @group(0) @binding(0) var<bad> texture: texture_2d<f32>;
  │                                       ^^^ unknown address space

"#,
    );
}

#[test]
fn unknown_attribute() {
    check(
        r#"
            @a
            fn x() {}
        "#,
        r#"error: unknown attribute: 'a'
  ┌─ wgsl:2:14
  │
2 │             @a
  │              ^ unknown attribute

"#,
    );
}

#[test]
fn unknown_built_in() {
    check(
        r#"
            fn x(@builtin(unknown_built_in) y: u32) {}
        "#,
        r#"error: unknown builtin: 'unknown_built_in'
  ┌─ wgsl:2:27
  │
2 │             fn x(@builtin(unknown_built_in) y: u32) {}
  │                           ^^^^^^^^^^^^^^^^ unknown builtin

"#,
    );
}

#[test]
fn unknown_access() {
    check(
        r#"
            var<storage,unknown_access> x: array<u32>;
        "#,
        r#"error: unknown access: 'unknown_access'
  ┌─ wgsl:2:25
  │
2 │             var<storage,unknown_access> x: array<u32>;
  │                         ^^^^^^^^^^^^^^ unknown access

"#,
    );
}

#[test]
fn unknown_ident() {
    check(
        r#"
            fn main() {
                let a = b;
            }
        "#,
        r#"error: no definition in scope for identifier: 'b'
  ┌─ wgsl:3:25
  │
3 │                 let a = b;
  │                         ^ unknown identifier

"#,
    );
}

#[test]
fn unknown_scalar_type() {
    check(
        r#"
            let a: vec2<something>;
        "#,
        r#"error: unknown scalar type: 'something'
  ┌─ wgsl:2:25
  │
2 │             let a: vec2<something>;
  │                         ^^^^^^^^^ unknown scalar type
  │
  = note: Valid scalar types are f16, f32, f64, i8, i16, i32, i64, u8, u16, u32, u64, bool

"#,
    );
}

#[test]
fn unknown_type() {
    check(
        r#"
            let a: Vec<f32>;
        "#,
        r#"error: unknown type: 'Vec'
  ┌─ wgsl:2:20
  │
2 │             let a: Vec<f32>;
  │                    ^^^ unknown type

"#,
    );
}

#[test]
fn unknown_storage_format() {
    check(
        r#"
            let storage1: texture_storage_1d<rgba>;
        "#,
        r#"error: unknown storage format: 'rgba'
  ┌─ wgsl:2:46
  │
2 │             let storage1: texture_storage_1d<rgba>;
  │                                              ^^^^ unknown storage format

"#,
    );
}

#[test]
fn unknown_conservative_depth() {
    check(
        r#"
            @early_depth_test(abc) fn main() {}
        "#,
        r#"error: unknown conservative depth: 'abc'
  ┌─ wgsl:2:31
  │
2 │             @early_depth_test(abc) fn main() {}
  │                               ^^^ unknown conservative depth

"#,
    );
}

#[test]
fn struct_member_size_too_low() {
    check(
        r#"
            struct Bar {
                @size(0) data: array<f32>
            }
        "#,
        r#"error: struct member size must be at least 4
  ┌─ wgsl:3:23
  │
3 │                 @size(0) data: array<f32>
  │                       ^ must be at least 4

"#,
    );
}

#[test]
fn struct_member_align_too_low() {
    check(
        r#"
            struct Bar {
                @align(8) data: vec3<f32>
            }
        "#,
        r#"error: struct member alignment must be at least 16
  ┌─ wgsl:3:24
  │
3 │                 @align(8) data: vec3<f32>
  │                        ^ must be at least 16

"#,
    );
}

#[test]
fn struct_member_non_po2_align() {
    check(
        r#"
            struct Bar {
                @align(7) data: array<f32>
            }
        "#,
        r#"error: struct member alignment must be a power of 2
  ┌─ wgsl:3:24
  │
3 │                 @align(7) data: array<f32>
  │                        ^ must be a power of 2

"#,
    );
}

#[test]
fn inconsistent_binding() {
    check(
        r#"
        fn foo(@builtin(vertex_index) @location(0) x: u32) {}
        "#,
        r#"error: input/output binding is not consistent
  ┌─ wgsl:2:16
  │
2 │         fn foo(@builtin(vertex_index) @location(0) x: u32) {}
  │                ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ input/output binding is not consistent

"#,
    );
}

#[test]
fn unknown_local_function() {
    check(
        r#"
            fn x() {
                for (a();;) {}
            }
        "#,
        r#"error: unknown local function `a`
  ┌─ wgsl:3:22
  │
3 │                 for (a();;) {}
  │                      ^ unknown local function

"#,
    );
}

#[test]
fn let_type_mismatch() {
    check(
        r#"
            let x: i32 = 1.0;
        "#,
        r#"error: the type of `x` is expected to be `f32`
  ┌─ wgsl:2:17
  │
2 │             let x: i32 = 1.0;
  │                 ^ definition of `x`

"#,
    );

    check(
        r#"
            fn foo() {
                let x: f32 = true;
            }
        "#,
        r#"error: the type of `x` is expected to be `bool`
  ┌─ wgsl:3:21
  │
3 │                 let x: f32 = true;
  │                     ^ definition of `x`

"#,
    );
}

#[test]
fn var_type_mismatch() {
    check(
        r#"
            let x: f32 = 1;
        "#,
        r#"error: the type of `x` is expected to be `i32`
  ┌─ wgsl:2:17
  │
2 │             let x: f32 = 1;
  │                 ^ definition of `x`

"#,
    );

    check(
        r#"
            fn foo() {
                var x: f32 = 1u32;
            }
        "#,
        r#"error: the type of `x` is expected to be `u32`
  ┌─ wgsl:3:21
  │
3 │                 var x: f32 = 1u32;
  │                     ^ definition of `x`

"#,
    );
}

#[test]
fn local_var_missing_type() {
    check(
        r#"
            fn foo() {
                var x;
            }
        "#,
        r#"error: variable `x` needs a type
  ┌─ wgsl:3:21
  │
3 │                 var x;
  │                     ^ definition of `x`

"#,
    );
}

#[test]
fn postfix_pointers() {
    check(
        r#"
            fn main() {
                var v: vec4<f32> = vec4<f32>(1.0, 1.0, 1.0, 1.0);
                let pv = &v;
                let a = *pv[3]; // Problematic line
            }
        "#,
        r#"error: the value indexed by a `[]` subscripting expression must not be a pointer
  ┌─ wgsl:5:26
  │
5 │                 let a = *pv[3]; // Problematic line
  │                          ^^ expression is a pointer

"#,
    );

    check(
        r#"
            struct S { m: i32 };
            fn main() {
                var s: S = S(42);
                let ps = &s;
                let a = *ps.m; // Problematic line
            }
        "#,
        r#"error: the value accessed by a `.member` expression must not be a pointer
  ┌─ wgsl:6:26
  │
6 │                 let a = *ps.m; // Problematic line
  │                          ^^ expression is a pointer

"#,
    );
}

#[test]
fn reserved_keyword() {
    // global var
    check(
        r#"
            var bool: bool = true;
        "#,
        r###"error: name `bool: bool = true;` is a reserved keyword
  ┌─ wgsl:2:17
  │
2 │             var bool: bool = true;
  │                 ^^^^^^^^^^^^^^^^^^ definition of `bool: bool = true;`

"###,
    );

    // global constant
    check(
        r#"
            let break: bool = true;
            fn foo() {
                var foo = break;
            }
        "#,
        r###"error: name `break` is a reserved keyword
  ┌─ wgsl:2:17
  │
2 │             let break: bool = true;
  │                 ^^^^^ definition of `break`

"###,
    );

    // local let
    check(
        r#"
            fn foo() {
                let atomic: f32 = 1.0;
            }
        "#,
        r###"error: name `atomic` is a reserved keyword
  ┌─ wgsl:3:21
  │
3 │                 let atomic: f32 = 1.0;
  │                     ^^^^^^ definition of `atomic`

"###,
    );

    // local var
    check(
        r#"
            fn foo() {
                var sampler: f32 = 1.0;
            }
        "#,
        r###"error: name `sampler` is a reserved keyword
  ┌─ wgsl:3:21
  │
3 │                 var sampler: f32 = 1.0;
  │                     ^^^^^^^ definition of `sampler`

"###,
    );

    // fn name
    check(
        r#"
            fn break() {}
        "#,
        r###"error: name `break` is a reserved keyword
  ┌─ wgsl:2:16
  │
2 │             fn break() {}
  │                ^^^^^ definition of `break`

"###,
    );

    // struct
    check(
        r#"
            struct array {}
        "#,
        r###"error: name `array` is a reserved keyword
  ┌─ wgsl:2:20
  │
2 │             struct array {}
  │                    ^^^^^ definition of `array`

"###,
    );

    // struct member
    check(
        r#"
            struct Foo { sampler: f32 }
        "#,
        r###"error: name `sampler` is a reserved keyword
  ┌─ wgsl:2:26
  │
2 │             struct Foo { sampler: f32 }
  │                          ^^^^^^^ definition of `sampler`

"###,
    );
}

#[test]
fn module_scope_identifier_redefinition() {
    // let
    check(
        r#"
            let foo: bool = true;
            let foo: bool = true;
        "#,
        r###"error: redefinition of `foo`
  ┌─ wgsl:2:17
  │
2 │             let foo: bool = true;
  │                 ^^^ previous definition of `foo`
3 │             let foo: bool = true;
  │                 ^^^ redefinition of `foo`

"###,
    );
    // var
    check(
        r#"
            var foo: bool = true;
            var foo: bool = true;
        "#,
        r###"error: redefinition of `foo: bool = true;`
  ┌─ wgsl:2:17
  │
2 │             var foo: bool = true;
  │                 ^^^^^^^^^^^^^^^^^ previous definition of `foo: bool = true;`
3 │             var foo: bool = true;
  │                 ^^^^^^^^^^^^^^^^^ redefinition of `foo: bool = true;`

"###,
    );

    // let and var
    check(
        r#"
            var foo: bool = true;
            let foo: bool = true;
        "#,
        r###"error: redefinition of `foo`
  ┌─ wgsl:2:17
  │
2 │             var foo: bool = true;
  │                 ^^^^^^^^^^^^^^^^^ previous definition of `foo: bool = true;`
3 │             let foo: bool = true;
  │                 ^^^ redefinition of `foo`

"###,
    );

    // function
    check(
        r#"fn foo() {}
                fn bar() {}
                fn foo() {}"#,
        r###"error: redefinition of `foo`
  ┌─ wgsl:1:4
  │
1 │ fn foo() {}
  │    ^^^ previous definition of `foo`
2 │                 fn bar() {}
3 │                 fn foo() {}
  │                    ^^^ redefinition of `foo`

"###,
    );

    // let and function
    check(
        r#"
            let foo: bool = true;
            fn foo() {}
        "#,
        r###"error: redefinition of `foo`
  ┌─ wgsl:2:17
  │
2 │             let foo: bool = true;
  │                 ^^^ previous definition of `foo`
3 │             fn foo() {}
  │                ^^^ redefinition of `foo`

"###,
    );
}

#[test]
fn matrix_with_bad_type() {
    check(
        r#"
            fn main() {
                let m = mat2x2<i32>();
            }
        "#,
        r#"error: matrix scalar type must be floating-point, but found `i32`
  ┌─ wgsl:3:32
  │
3 │                 let m = mat2x2<i32>();
  │                                ^^^ must be floating-point (e.g. `f32`)

"#,
    );

    check(
        r#"
            fn main() {
                let m: mat3x3<i32>;
            }
        "#,
        r#"error: matrix scalar type must be floating-point, but found `i32`
  ┌─ wgsl:3:31
  │
3 │                 let m: mat3x3<i32>;
  │                               ^^^ must be floating-point (e.g. `f32`)

"#,
    );
}

/// Check the result of validating a WGSL program against a pattern.
///
/// Unless you are generating code programmatically, the
/// `check_validation_error` macro will probably be more convenient to
/// use.
macro_rules! check_one_validation {
    ( $source:expr, $pattern:pat $( if $guard:expr )? ) => {
        let source = $source;
        let error = validation_error($source);
        if ! matches!(&error, $pattern $( if $guard )? ) {
            eprintln!("validation error does not match pattern:\n\
                       source code: {}\n\
                       \n\
                       actual result:\n\
                       {:#?}\n\
                       \n\
                       expected match for pattern:\n\
                       {}",
                      &source,
                      error,
                      stringify!($pattern));
            $( eprintln!("if {}", stringify!($guard)); )?
            panic!("validation error does not match pattern");
        }
    }
}

macro_rules! check_validation {
    // We want to support an optional guard expression after the pattern, so
    // that we can check values we can't match against, like strings.
    // Unfortunately, we can't simply include `$( if $guard:expr )?` in the
    // pattern, because Rust treats `?` as a repetition operator, and its count
    // (0 or 1) will not necessarily match `$source`.
    ( $( $source:literal ),* : $pattern:pat ) => {
        $(
            check_one_validation!($source, $pattern);
        )*
    };
    ( $( $source:literal ),* : $pattern:pat if $guard:expr ) => {
        $(
            check_one_validation!($source, $pattern if $guard);
        )*
    }
}

fn validation_error(source: &str) -> Result<naga::valid::ModuleInfo, naga::valid::ValidationError> {
    let module = match naga::front::wgsl::parse_str(source) {
        Ok(module) => module,
        Err(err) => {
            eprintln!("WGSL parse failed:");
            panic!("{}", err.emit_to_string(source));
        }
    };
    naga::valid::Validator::new(
        naga::valid::ValidationFlags::all(),
        naga::valid::Capabilities::empty(),
    )
    .validate(&module)
    .map_err(|e| e.into_inner()) // TODO: Add tests for spans, too?
}

#[test]
fn invalid_arrays() {
    check_validation! {
        "type Bad = array<array<f32>, 4>;",
        "type Bad = array<sampler, 4>;",
        "type Bad = array<texture_2d<f32>, 4>;":
        Err(naga::valid::ValidationError::Type {
            error: naga::valid::TypeError::InvalidArrayBaseType(_),
            ..
        })
    }

    check_validation! {
        "type Bad = array<f32, true>;",
        r#"
            let length: f32 = 2.718;
            type Bad = array<f32, length>;
        "#:
        Err(naga::valid::ValidationError::Type {
            error: naga::valid::TypeError::InvalidArraySizeConstant(_),
            ..
        })
    }

    check_validation! {
        "type Bad = array<f32, 0>;",
        "type Bad = array<f32, -1>;":
        Err(naga::valid::ValidationError::Type {
            error: naga::valid::TypeError::NonPositiveArrayLength(_),
            ..
        })
    }
}

#[test]
fn invalid_structs() {
    check_validation! {
        "struct Bad { data: sampler }",
        "struct Bad { data: texture_2d<f32> }":
        Err(naga::valid::ValidationError::Type {
            error: naga::valid::TypeError::InvalidData(_),
            ..
        })
    }

    check_validation! {
        "struct Bad { data: array<f32>, other: f32, }":
        Err(naga::valid::ValidationError::Type {
            error: naga::valid::TypeError::InvalidDynamicArray(_, _),
            ..
        })
    }

    check_validation! {
        "struct Empty {}":
        Err(naga::valid::ValidationError::Type {
            error: naga::valid::TypeError::EmptyStruct,
            ..
        })
    }
}

#[test]
fn invalid_functions() {
    check_validation! {
        "fn unacceptable_unsized(arg: array<f32>) { }",
        "
        struct Unsized { data: array<f32> }
        fn unacceptable_unsized(arg: Unsized) { }
        ":
        Err(naga::valid::ValidationError::Function {
            name: function_name,
            error: naga::valid::FunctionError::InvalidArgumentType {
                index: 0,
                name: argument_name,
            },
            ..
        })
        if function_name == "unacceptable_unsized" && argument_name == "arg"
    }

    // Pointer's address space cannot hold unsized data.
    check_validation! {
        "fn unacceptable_unsized(arg: ptr<workgroup, array<f32>>) { }",
        "
        struct Unsized { data: array<f32> }
        fn unacceptable_unsized(arg: ptr<workgroup, Unsized>) { }
        ":
        Err(naga::valid::ValidationError::Type {
            error: naga::valid::TypeError::InvalidPointerToUnsized {
                base: _,
                space: naga::AddressSpace::WorkGroup { .. },
            },
            ..
        })
    }

    // Pointers of these storage classes cannot be passed as arguments.
    check_validation! {
        "fn unacceptable_ptr_space(arg: ptr<storage, array<f32>>) { }":
        Err(naga::valid::ValidationError::Function {
            name: function_name,
            error: naga::valid::FunctionError::InvalidArgumentPointerSpace {
                index: 0,
                name: argument_name,
                space: naga::AddressSpace::Storage { .. },
            },
            ..
        })
        if function_name == "unacceptable_ptr_space" && argument_name == "arg"
    }

    check_validation! {
        "fn unacceptable_ptr_space(arg: ptr<uniform, f32>) { }":
        Err(naga::valid::ValidationError::Function {
            name: function_name,
            error: naga::valid::FunctionError::InvalidArgumentPointerSpace {
                index: 0,
                name: argument_name,
                space: naga::AddressSpace::Uniform,
            },
            ..
        })
        if function_name == "unacceptable_ptr_space" && argument_name == "arg"
    }

    check_validation! {
        "
        struct AFloat {
          said_float: f32
        };
        @group(0) @binding(0)
        var<storage> float: AFloat;

        fn return_pointer() -> ptr<storage, f32> {
           return &float.said_float;
        }
        ":
        Err(naga::valid::ValidationError::Function {
            name: function_name,
            error: naga::valid::FunctionError::NonConstructibleReturnType,
            ..
        })
        if function_name == "return_pointer"
    }

    check_validation! {
        "
        @group(0) @binding(0)
        var<storage> atom: atomic<u32>;

        fn return_atomic() -> atomic<u32> {
           return atom;
        }
        ":
        Err(naga::valid::ValidationError::Function {
            name: function_name,
            error: naga::valid::FunctionError::NonConstructibleReturnType,
            ..
        })
        if function_name == "return_atomic"
    }
}

#[test]
fn pointer_type_equivalence() {
    check_validation! {
        r#"
            fn f(pv: ptr<function, vec2<f32>>, pf: ptr<function, f32>) { }

            fn g() {
               var m: mat2x2<f32>;
               let pv: ptr<function, vec2<f32>> = &m.x;
               let pf: ptr<function, f32> = &m.x.x;

               f(pv, pf);
            }
        "#:
        Ok(_)
    }
}

#[test]
fn missing_bindings() {
    check_validation! {
        "
        @vertex
        fn vertex(_input: vec4<f32>) -> @location(0) vec4<f32> {
           return _input;
        }
        ":
        Err(naga::valid::ValidationError::EntryPoint {
            stage: naga::ShaderStage::Vertex,
            error: naga::valid::EntryPointError::Argument(
                0,
                naga::valid::VaryingError::MissingBinding,
            ),
            ..
        })
    }

    check_validation! {
        "
        @vertex
        fn vertex(@location(0) _input: vec4<f32>, more_input: f32) -> @location(0) vec4<f32> {
           return _input + more_input;
        }
        ":
        Err(naga::valid::ValidationError::EntryPoint {
            stage: naga::ShaderStage::Vertex,
            error: naga::valid::EntryPointError::Argument(
                1,
                naga::valid::VaryingError::MissingBinding,
            ),
            ..
        })
    }

    check_validation! {
        "
        @vertex
        fn vertex(@location(0) _input: vec4<f32>) -> vec4<f32> {
           return _input;
        }
        ":
        Err(naga::valid::ValidationError::EntryPoint {
            stage: naga::ShaderStage::Vertex,
            error: naga::valid::EntryPointError::Result(
                naga::valid::VaryingError::MissingBinding,
            ),
            ..
        })
    }

    check_validation! {
        "
        struct VertexIn {
          @location(0) pos: vec4<f32>,
          uv: vec2<f32>
        }

        @vertex
        fn vertex(_input: VertexIn) -> @location(0) vec4<f32> {
           return _input.pos;
        }
        ":
        Err(naga::valid::ValidationError::EntryPoint {
            stage: naga::ShaderStage::Vertex,
            error: naga::valid::EntryPointError::Argument(
                0,
                naga::valid::VaryingError::MemberMissingBinding(1),
            ),
            ..
        })
    }
}

#[test]
fn invalid_access() {
    check_validation! {
        "
        fn array_by_value(a: array<i32, 5>, i: i32) -> i32 {
            return a[i];
        }
        ",
        "
        fn matrix_by_value(m: mat4x4<f32>, i: i32) -> vec4<f32> {
            return m[i];
        }
        ":
        Err(naga::valid::ValidationError::Function {
            error: naga::valid::FunctionError::Expression {
                error: naga::valid::ExpressionError::IndexMustBeConstant(_),
                ..
            },
            ..
        })
    }

    check_validation! {
        r#"
            fn main() -> f32 {
                let a = array<f32, 3>(0., 1., 2.);
                return a[3];
            }
        "#:
        Err(naga::valid::ValidationError::Function {
            error: naga::valid::FunctionError::Expression {
                error: naga::valid::ExpressionError::IndexOutOfBounds(_, _),
                ..
            },
            ..
        })
    }
}

#[test]
fn valid_access() {
    check_validation! {
        "
        fn vector_by_value(v: vec4<i32>, i: i32) -> i32 {
            return v[i];
        }
        ",
        "
        fn matrix_dynamic(m: mat4x4<f32>, i: i32, j: i32) -> f32 {
            var temp: mat4x4<f32> = m;
            // Dynamically indexing the column vector applies
            // `Access` to a `ValuePointer`.
            return temp[i][j];
        }
        ",
        "
        fn main() {
            var v: vec4<f32> = vec4<f32>(1.0, 1.0, 1.0, 1.0);
            let pv = &v;
            let a = (*pv)[3];
        }
        ":
        Ok(_)
    }
}

#[test]
fn invalid_local_vars() {
    check_validation! {
        "
        struct Unsized { data: array<f32> }
        fn local_ptr_dynamic_array(okay: ptr<storage, Unsized>) {
            var not_okay: ptr<storage, array<f32>> = &(*okay).data;
        }
        ":
        Err(naga::valid::ValidationError::Function {
            error: naga::valid::FunctionError::LocalVariable {
                name: local_var_name,
                error: naga::valid::LocalVariableError::InvalidType(_),
                ..
            },
            ..
        })
        if local_var_name == "not_okay"
    }
}

#[test]
fn dead_code() {
    check_validation! {
        "
        fn dead_code_after_if(condition: bool) -> i32 {
            if (condition) {
                return 1;
            } else {
                return 2;
            }
            return 3;
        }
        ":
        Ok(_)
    }
    check_validation! {
        "
        fn dead_code_after_block() -> i32 {
            {
                return 1;
            }
            return 2;
        }
        ":
        Err(naga::valid::ValidationError::Function {
            error: naga::valid::FunctionError::InstructionsAfterReturn,
            ..
        })
    }
}

#[test]
fn invalid_runtime_sized_arrays() {
    // You can't have structs whose last member is an unsized struct. An unsized
    // array may only appear as the last member of a struct used directly as a
    // variable's store type.
    check_validation! {
        "
        struct Unsized {
            arr: array<f32>
        }

        struct Outer {
            legit: i32,
            _unsized: Unsized
        }

        @group(0) @binding(0) var<storage> outer: Outer;

        fn fetch(i: i32) -> f32 {
           return outer._unsized.arr[i];
        }
        ":
        Err(naga::valid::ValidationError::Type {
            name: struct_name,
            error: naga::valid::TypeError::InvalidDynamicArray(member_name, _),
            ..
        })
        if struct_name == "Outer" && member_name == "_unsized"
    }
}

#[test]
fn select() {
    check_validation! {
        "
        fn select_pointers(which: bool) -> i32 {
            var x: i32 = 1;
            var y: i32 = 2;
            let p = select(&x, &y, which);
            return *p;
        }
        ",
        "
        fn select_arrays(which: bool) -> i32 {
            var x: array<i32, 4>;
            var y: array<i32, 4>;
            let s = select(x, y, which);
            return s[0];
        }
        ",
        "
        struct S { member: i32 }
        fn select_structs(which: bool) -> S {
            var x: S = S(1);
            var y: S = S(2);
            let s = select(x, y, which);
            return s;
        }
        ":
        Err(
            naga::valid::ValidationError::Function {
                name,
                error: naga::valid::FunctionError::Expression {
                    error: naga::valid::ExpressionError::InvalidSelectTypes,
                    ..
                },
                ..
            },
        )
        if name.starts_with("select_")
    }
}

#[test]
fn last_case_falltrough() {
    check_validation! {
        "
        fn test_falltrough() {
          switch(0) {
            default: {}
            case 0: {
              fallthrough;
            }
          }
        }
        ":
        Err(
            naga::valid::ValidationError::Function {
                error: naga::valid::FunctionError::LastCaseFallTrough,
                ..
            },
        )
    }
}

#[test]
fn missing_default_case() {
    check_validation! {
        "
        fn test_missing_default_case() {
          switch(0) {
            case 0: {}
          }
        }
        ":
        Err(
            naga::valid::ValidationError::Function {
                error: naga::valid::FunctionError::MissingDefaultCase,
                ..
            },
        )
    }
}

#[test]
fn wrong_access_mode() {
    // The assignments to `global.i` should be forbidden, because they are in
    // variables whose access mode is `read`, not `read_write`.
    check_validation! {
        "
            struct Globals {
                i: i32
            }

            @group(0) @binding(0)
            var<storage> globals: Globals;

            fn store(v: i32) {
                globals.i = v;
            }
        ",
        "
            struct Globals {
                i: i32
            }

            @group(0) @binding(0)
            var<uniform> globals: Globals;

            fn store(v: i32) {
                globals.i = v;
            }
        ":
        Err(
            naga::valid::ValidationError::Function {
                name,
                error: naga::valid::FunctionError::InvalidStorePointer(_),
                ..
            },
        )
            if name == "store"
    }
}

#[test]
fn io_shareable_types() {
    for numeric in "i32 u32 f32".split_whitespace() {
        let types = format!(
            "{} vec2<{}> vec3<{}> vec4<{}>",
            numeric, numeric, numeric, numeric
        );
        for ty in types.split_whitespace() {
            check_one_validation! {
                &format!("@vertex
                          fn f(@location(0) arg: {}) -> @builtin(position) vec4<f32>
                          {{ return vec4<f32>(0.0); }}",
                         ty),
                Ok(_module)
            }
        }
    }

    for ty in "bool
               vec2<bool> vec3<bool> vec4<bool>
               array<f32,4>
               mat2x2<f32>
               ptr<function,f32>"
        .split_whitespace()
    {
        check_one_validation! {
            &format!("@vertex
                          fn f(@location(0) arg: {}) -> @builtin(position) vec4<f32>
                          {{ return vec4<f32>(0.0); }}",
                     ty),
            Err(
                naga::valid::ValidationError::EntryPoint {
                    stage: naga::ShaderStage::Vertex,
                    name,
                    error: naga::valid::EntryPointError::Argument(
                        0,
                        naga::valid::VaryingError::NotIOShareableType(
                            _,
                        ),
                    ),
                },
            )
            if name == "f"
        }
    }
}

#[test]
fn host_shareable_types() {
    // Host-shareable, constructible types.
    let types = "i32 u32 f32
                 vec2<i32> vec3<u32> vec4<f32>
                 mat4x4<f32>
                 array<mat4x4<f32>,4>
                 AStruct";
    for ty in types.split_whitespace() {
        check_one_validation! {
            &format!("struct AStruct {{ member: array<mat4x4<f32>, 8> }};
                      @group(0) @binding(0) var<uniform> ubuf: {};
                      @group(0) @binding(1) var<storage> sbuf: {};",
                     ty, ty),
            Ok(_module)
        }
    }

    // Host-shareable but not constructible types.
    let types = "atomic<i32> atomic<u32>
                 array<atomic<u32>,4>
                 array<u32>
                 AStruct";
    for ty in types.split_whitespace() {
        check_one_validation! {
            &format!("struct AStruct {{ member: array<atomic<u32>, 8> }};
                      @group(0) @binding(1) var<storage> sbuf: {};",
                     ty),
            Ok(_module)
        }
    }

    // Types that are neither host-shareable nor constructible.
    for ty in "bool ptr<storage,i32>".split_whitespace() {
        check_one_validation! {
            &format!("@group(0) @binding(0) var<storage> sbuf: {};", ty),
            Err(
                naga::valid::ValidationError::GlobalVariable {
                    name,
                    handle: _,
                    error: naga::valid::GlobalVariableError::MissingTypeFlags { .. },
                },
            )
            if name == "sbuf"
        }

        check_one_validation! {
            &format!("@group(0) @binding(0) var<uniform> ubuf: {};", ty),
            Err(naga::valid::ValidationError::GlobalVariable {
                    name,
                    handle: _,
                    error: naga::valid::GlobalVariableError::MissingTypeFlags { .. },
                },
            )
            if name == "ubuf"
        }
    }
}

#[test]
fn misplaced_break_if() {
    check(
        "
        fn test_misplaced_break_if() {
            loop {
                break if true;
            }
        }
        ",
        r###"error: A break if is only allowed in a continuing block
  ┌─ wgsl:4:17
  │
4 │                 break if true;
  │                 ^^^^^^^^ not in a continuing block

"###,
    );
}

#[test]
fn break_if_bad_condition() {
    check_validation! {
        "
        fn test_break_if_bad_condition() {
            loop {
                continuing {
                    break if 1;
                }
            }
        }
        ":
        Err(
            naga::valid::ValidationError::Function {
                error: naga::valid::FunctionError::InvalidIfType(_),
                ..
            },
        )
    }
}

#[test]
fn swizzle_assignment() {
    check(
        "
        fn f() {
            var v = vec2(0);
            v.xy = vec2(1);
        }
    ",
        r###"error: invalid left-hand side of assignment
  ┌─ wgsl:4:13
  │
4 │             v.xy = vec2(1);
  │             ^^^^ cannot assign to this expression
  │
  = note: WGSL does not support assignments to swizzles
  = note: consider assigning each component individually

"###,
    );
}

#[test]
fn binary_statement() {
    check(
        "
        fn f() {
            3 + 5;
        }
    ",
        r###"error: expected assignment or increment/decrement, found '3 + 5'
  ┌─ wgsl:3:13
  │
3 │             3 + 5;
  │             ^^^^^ expected assignment or increment/decrement

"###,
    );
}

#[test]
fn assign_to_expr() {
    check(
        "
        fn f() {
            3 + 5 = 10;
        }
        ",
        r###"error: invalid left-hand side of assignment
  ┌─ wgsl:3:13
  │
3 │             3 + 5 = 10;
  │             ^^^^^ cannot assign to this expression

"###,
    );
}

#[test]
fn assign_to_let() {
    check(
        "
        fn f() {
            let a = 10;
	        a = 20;
        }
        ",
        r###"error: invalid left-hand side of assignment
  ┌─ wgsl:4:10
  │
4 │             a = 20;
  │             ^ cannot assign to this expression
  │
  = note: 'a' is an immutable binding
  = note: consider declaring it with `var` instead of `let`

"###,
    );
}


================================================
FILE: resources/Info.plist
================================================
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
<plist version="1.0">
<dict>
	<key>LSMinimumSystemVersion</key>
	<string>10.13</string>
	<key>CFBundleExecutable</key>
	<string>GraphPU_Launcher</string>
	<key>CFBundleDisplayName</key>
	<string>GraphPU</string>
	<key>CFBundleGetInfoString</key>
	<string>0.5.0 2023-03-03, Wlab</string>
	<key>CFBundleIconFile</key>
	<string>app.icns</string>
	<key>CFBundleIdentifier</key>
	<string>org.ioclab.graphpu</string>
	<key>CFBundleInfoDictionaryVersion</key>
	<string>6.0</string>
	<key>CFBundleName</key>
	<string>GraphPU</string>
	<key>CFBundlePackageType</key>
	<string>APPL</string>
	<key>CFBundleShortVersionString</key>
	<string>0.5.0</string>
	<key>CFBundleSignature</key>
	<string>????</string>
	<key>CFBundleVersion</key>
	<string>0.5.0 2023-03-03</string>
	<key>NSPrincipalClass</key>
	<string>NSApplication</string>
	<key>NSHighResolutionCapable</key>
	<true/>
	<key>LSApplicationCategoryType</key>
	<string>public.app-category.graphics-design</string>
</dict>
</plist>


================================================
FILE: scripts/create-dmg-1.1.0/.editorconfig
================================================
# EditorConfig for create-dmg project
# EditorConfig is awesome: https://EditorConfig.org

root = true

[*]
end_of_line = lf
insert_final_newline = true
charset = utf-8

# We use tabs in our own code
[{create-dmg,*.applescript,*.sh}]
indent_style = tab
indent_size = 2

# But the Python code we pull in from pyhacker uses spaces
[*.py]
indent_style = space
indent_size = 4


================================================
FILE: scripts/create-dmg-1.1.0/.gitignore
================================================
.svn
.vscode

*.dmg
.DS_Store


================================================
FILE: scripts/create-dmg-1.1.0/.this-is-the-create-dmg-repo
================================================
This is just a dummy file so create-dmg can tell whether it's being run from
inside the Git repo or from an installed location.


================================================
FILE: scripts/create-dmg-1.1.0/LICENSE
================================================
The MIT License (MIT)

Copyright (c) 2008-2014 Andrey Tarantsov
Copyright (c) 2020 Andrew Janke

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.


================================================
FILE: scripts/create-dmg-1.1.0/Makefile
================================================
# Makefile for Cowsay

PACKAGE_TARNAME = create-dmg

prefix = /usr/local
exec_prefix = ${prefix}
bindir = ${exec_prefix}/bin
datarootdir = ${prefix}/share
datadir = ${datarootdir}
docdir = ${datarootdir}/doc/${PACKAGE_TARNAME}
sysconfdir = ${prefix}/etc
mandir=${datarootdir}/man
srcdir = .

SHELL = /bin/sh
INSTALL = install
INSTALL_PROGRAM = $(INSTALL)
INSTALL_DATA = ${INSTALL} -m 644

.PHONY: install uninstall

install: create-dmg
	$(INSTALL) -d $(DESTDIR)$(prefix)
	$(INSTALL) -d $(DESTDIR)$(bindir)
	$(INSTALL_PROGRAM) create-dmg $(DESTDIR)$(bindir)/create-dmg
	$(INSTALL) -d $(DESTDIR)$(datadir)/$(PACKAGE_TARNAME)
	cp -R support $(DESTDIR)$(datadir)/$(PACKAGE_TARNAME)
	cp -R examples $(DESTDIR)$(datadir)/$(PACKAGE_TARNAME)
	cp -R tests $(DESTDIR)$(datadir)/$(PACKAGE_TARNAME)

uninstall:
	rm -f $(DESTDIR)$(bindir)/create-dmg
	rm -rf $(DESTDIR)$(datadir)/$(PACKAGE_TARNAME)


================================================
FILE: scripts/create-dmg-1.1.0/README.md
================================================
create-dmg
==========

A shell script to build fancy DMGs.

Status and contribution policy
------------------------------

Create-dmg is mostly maintained by [@aonez](https://github.com/aonez) and the contributors who send pull requests.
The project home page is <https://github.com/create-dmg/create-dmg>.

We will merge any pull request that adds something useful and does not break existing things.

If you're an active user and want to be a maintainer, or just want to chat, please ping us on Gitter at [gitter.im/create-dmg/Lobby](https://gitter.im/create-dmg/Lobby), or [email Andrew directly](floss@apjanke.net).

Create-dmg was originally created by [Andrey Tarantsov](https://github.com/andreyvit).
In May 2020 [Andrew Janke](https://github.com/apjanke) helped vastly with the project.

Installation
------------

- You can install this script using [Homebrew](https://brew.sh):

  ```sh
  brew install create-dmg
  ```

- You can download the [latest release](https://github.com/create-dmg/create-dmg/releases/latest) and install it from there:

  ```sh
  make install
  ```

- You can also clone the entire repository and run it locally from there:

  ```sh
  git clone https://github.com/create-dmg/create-dmg.git
  ```

Usage
-----

```sh
create-dmg [options ...] <output_name.dmg> <source_folder>
```

All contents of source\_folder will be copied into the disk image.

**Options:**

- **--volname \<name\>:** set volume name (displayed in the Finder sidebar and window title)
- **--volicon \<icon.icns\>:** set volume icon
- **--background \<pic.png\>:** set folder background image (provide png, gif, jpg)
- **--window-pos \<x\> \<y\>:** set position the folder window
- **--window-size \<width\> \<height\>:** set size of the folder window
- **--text-size \<text_size\>:** set window text size (10-16)
- **--icon-size \<icon_size\>:** set window icons size (up to 128)
- **--icon \<file_name\> \<x\> \<y\>:** set position of the file's icon
- **--hide-extension \<file_name\>:** hide the extension of file
- **--custom-icon \<file_name|custom_icon|sample_file\> \<x\> \<y\>:** set position and -tom icon
- **--app-drop-link \<x\> \<y\>:** make a drop link to Applications, at location x, y
- **--ql-drop-link \<x\> \<y\>:** make a drop link to /Library/QuickLook, at location x, y
- **--eula \<eula_file\>:** attach a license file to the dmg
- **--rez \<rez_path\>:** specify custom path to Rez tool used to include license file
- **--no-internet-enable:** disable automatic mount&copy
- **--format:** specify the final image format (UDZO|UDBZ|ULFO|ULMO) (default is UDZO) 
- **--add-file \<target_name\> \<file|folder\> \<x\> \<y\>:** add additional file or folder (can be used multiple times)
- **--disk-image-size \<x\>:** set the disk image size manually to x MB
- **--hdiutil-verbose:** execute hdiutil in verbose mode
- **--hdiutil-quiet:** execute hdiutil in quiet mode
- **--bless:** bless the mount folder (deprecated, needs macOS 12.2.1 or older, [#127](https://github.com/create-dmg/create-dmg/pull/127))
- **--codesign \<signature\>:** codesign the disk image with the specified signature
- **--notarize \<credentials>:** notarize the disk image (waits and staples) with the keychain stored credentials
    For more information check [Apple's documentation](https://developer.apple.com/documentation/security/notarizing_macos_software_before_distribution/customizing_the_notarization_workflow)
- **--skip-jenkins:** skip Finder-prettifying AppleScript, useful in Sandbox and non-GUI environments, [#72](https://github.com/create-dmg/create-dmg/pull/72)
- **--sandbox-safe:** hdiutil with sandbox compatibility, do not bless and do not execute the cosmetic AppleScript
- **--version:** show tool version number
- **-h, --help:** display the help

Example
-------

```sh
#!/bin/sh
test -f Application-Installer.dmg && rm Application-Installer.dmg
create-dmg \
  --volname "Application Installer" \
  --volicon "application_icon.icns" \
  --background "installer_background.png" \
  --window-pos 200 120 \
  --window-size 800 400 \
  --icon-size 100 \
  --icon "Application.app" 200 190 \
  --hide-extension "Application.app" \
  --app-drop-link 600 185 \
  "Application-Installer.dmg" \
  "source_folder/"
```

See the `examples` folder in the source tree for more examples.

Requirements
------------

Nothing except a standard installation of macOS/OS X is required.

We think this works in OS X 10.6 Snow Leopard and later.

We'd like to keep it working in as many versions as possible, but unfortunately, we just don't have test boxes running old versions of OS X adequate to make this happen. Development and testing mostly happens in the last 3-5 years' worth of macOS releases; as of 2020, this means macOS 10.12 and later.

But if you find a bug in an older version, go ahead and report it! We'll try to work with you to get it fixed.

If you're running OS X 10.5 or later, you're SOL. That's just too hard to deal with in 2020. ;)

Alternatives
------------

- [node-appdmg](https://github.com/LinusU/node-appdmg)
- [dmgbuild](https://pypi.python.org/pypi/dmgbuild)
- see the [StackOverflow question](http://stackoverflow.com/questions/96882/how-do-i-create-a-nice-looking-dmg-for-mac-os-x-using-command-line-tools)


================================================
FILE: scripts/create-dmg-1.1.0/builder/create-dmg.builder
================================================
SET	app_name	create-dmg

VERSION	create-dmg.cur	create-dmg	heads/master

NEWDIR	build.dir	temp	%-build	-

NEWFILE	create-dmg.zip	featured	%.zip	%


COPYTO	[build.dir]
	INTO	create-dmg	[create-dmg.cur]/create-dmg
	INTO	sample	[create-dmg.cur]/sample
	INTO	support	[create-dmg.cur]/support
	
SUBSTVARS	[build.dir<alter>]/create-dmg	[[]]


ZIP	[create-dmg.zip]
	INTO	[build-files-prefix]	[build.dir]


PUT	megabox-builds	create-dmg.zip
PUT	megabox-builds	build.log

PUT	s3-builds	create-dmg.zip
PUT	s3-builds	build.log


================================================
FILE: scripts/create-dmg-1.1.0/create-dmg
================================================
#!/usr/bin/env bash

# Create a read-only disk image of the contents of a folder

# Bail out on any unhandled errors
set -e;

CDMG_VERSION='1.1.0'

# The full path to the "support/" directory this script is using
# (This will be set up by code later in the script.)
CDMG_SUPPORT_DIR=""

WINX=10
WINY=60
WINW=500
WINH=350
ICON_SIZE=128
TEXT_SIZE=16
FORMAT="UDZO"
ADD_FILE_SOURCES=()
ADD_FILE_TARGETS=()
IMAGEKEY=""
HDIUTIL_VERBOSITY=""
SANDBOX_SAFE=0
BLESS=0
SKIP_JENKINS=0
MAXIMUM_UNMOUNTING_ATTEMPTS=3
SIGNATURE=""
NOTARIZE=""

function pure_version() {
	echo "$CDMG_VERSION"
}

function version() {
	echo "create-dmg $(pure_version)"
}

function usage() {
	version
	cat <<EOHELP

Creates a fancy DMG file.

Usage:  $(basename $0) [options] <output_name.dmg> <source_folder>

All contents of <source_folder> will be copied into the disk image.

Options:
  --volname <name>
      set volume name (displayed in the Finder sidebar and window title)
  --volicon <icon.icns>
      set volume icon
  --background <pic.png>
      set folder background image (provide png, gif, or jpg)
  --window-pos <x> <y>
      set position the folder window
  --window-size <width> <height>
      set size of the folder window
  --text-size <text_size>
      set window text size (10-16)
  --icon-size <icon_size>
      set window icons size (up to 128)
  --icon file_name <x> <y>
      set position of the file's icon
  --hide-extension <file_name>
      hide the extension of file
  --app-drop-link <x> <y>
      make a drop link to Applications, at location x,y
  --ql-drop-link <x> <y>
      make a drop link to user QuickLook install dir, at location x,y
  --eula <eula_file>
      attach a license file to the dmg (plain text or RTF)
  --no-internet-enable
      disable automatic mount & copy
  --format <format>
      specify the final disk image format (UDZO|UDBZ|ULFO|ULMO) (default is UDZO)
  --add-file <target_name> <file>|<folder> <x> <y>
      add additional file or folder (can be used multiple times)
  --disk-image-size <x>
      set the disk image size manually to x MB
  --hdiutil-verbose
      execute hdiutil in verbose mode
  --hdiutil-quiet
      execute hdiutil in quiet mode
  --bless
      bless the mount folder (deprecated, needs macOS 12.2.1 or older)
  --codesign <signature>
      codesign the disk image with the specified signature
  --notarize <credentials>
      notarize the disk image (waits and staples) with the keychain stored credentials
  --sandbox-safe
      execute hdiutil with sandbox compatibility and do not bless
  --version
	    show create-dmg version number
  -h, --help
	    display this help screen

EOHELP
	exit 0
}

# Argument parsing

while [[ "${1:0:1}" = "-" ]]; do
	case $1 in
		--volname)
			VOLUME_NAME="$2"
			shift; shift;;
		--volicon)
			VOLUME_ICON_FILE="$2"
			shift; shift;;
		--background)
			BACKGROUND_FILE="$2"
			BACKGROUND_FILE_NAME="$(basename "$BACKGROUND_FILE")"
			BACKGROUND_CLAUSE="set background picture of opts to file \".background:$BACKGROUND_FILE_NAME\""
			REPOSITION_HIDDEN_FILES_CLAUSE="set position of every item to {theBottomRightX + 100, 100}"
			shift; shift;;
		--icon-size)
			ICON_SIZE="$2"
			shift; shift;;
		--text-size)
			TEXT_SIZE="$2"
			shift; shift;;
		--window-pos)
			WINX=$2; WINY=$3
			shift; shift; shift;;
		--window-size)
			WINW=$2; WINH=$3
			shift; shift; shift;;
		--icon)
			POSITION_CLAUSE="${POSITION_CLAUSE}set position of item \"$2\" to {$3, $4}
			"
			shift; shift; shift; shift;;
		--hide-extension)
			HIDING_CLAUSE="${HIDING_CLAUSE}set the extension hidden of item \"$2\" to true
			"
			shift; shift;;
		-h | --help)
			usage;;
		--version)
			version; exit 0;;
		--pure-version)
			pure_version; exit 0;;
		--ql-drop-link)
			QL_LINK=$2
			QL_CLAUSE="set position of item \"QuickLook\" to {$2, $3}
			"
			shift; shift; shift;;
		--app-drop-link)
			APPLICATION_LINK=$2
			APPLICATION_CLAUSE="set position of item \"Applications\" to {$2, $3}
			"
			shift; shift; shift;;
		--eula)
			EULA_RSRC=$2
			shift; shift;;
		--no-internet-enable)
			NOINTERNET=1
			shift;;
		--format)
			FORMAT="$2"
			shift; shift;;
		--add-file | --add-folder)
			ADD_FILE_TARGETS+=("$2")
			ADD_FILE_SOURCES+=("$3")
			POSITION_CLAUSE="${POSITION_CLAUSE}
			set position of item \"$2\" to {$4, $5}
			"
			shift; shift; shift; shift; shift;;
		--disk-image-size)
			DISK_IMAGE_SIZE="$2"
			shift; shift;;
		--hdiutil-verbose)
			HDIUTIL_VERBOSITY='-verbose'
			shift;;
		--hdiutil-quiet)
			HDIUTIL_VERBOSITY='-quiet'
			shift;;
		--codesign)
			SIGNATURE="$2"
			shift; shift;;
		--notarize)
			NOTARIZE="$2"
			shift; shift;;
		--sandbox-safe)
			SANDBOX_SAFE=1
			shift;;
		--bless)
			BLESS=1
			shift;;
		--rez)
			echo "REZ is no more directly used. You can remove the --rez argument."
			shift; shift;;
		--skip-jenkins)
			SKIP_JENKINS=1
			shift;;
		-*)
			echo "Unknown option: $1. Run 'create-dmg --help' for help."
			exit 1;;
	esac
	case $FORMAT in
		UDZO)
			IMAGEKEY="-imagekey zlib-level=9";;
		UDBZ)
			IMAGEKEY="-imagekey bzip2-level=9";;
		ULFO)
			;;
		ULMO)
			;;
		*)
			echo >&2 "Unknown disk image format: $FORMAT"
			exit 1;;
	esac
done

if [[ -z "$2" ]]; then
	echo "Not enough arguments. Run 'create-dmg --help' for help."
	exit 1
fi

DMG_PATH="$1"
SRC_FOLDER="$(cd "$2" > /dev/null; pwd)"

# Argument validation checks

if [[ "${DMG_PATH: -4}" != ".dmg" ]]; then
	echo "Output file name must end with a .dmg extension. Run 'create-dmg --help' for help."
	exit 1
fi

# Main script logic

SCRIPT_DIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" && pwd )"
DMG_DIRNAME="$(dirname "$DMG_PATH")"
DMG_DIR="$(cd "$DMG_DIRNAME" > /dev/null; pwd)"
DMG_NAME="$(basename "$DMG_PATH")"
DMG_TEMP_NAME="$DMG_DIR/rw.${DMG_NAME}"

# Detect where we're running from

sentinel_file="$SCRIPT_DIR/.this-is-the-create-dmg-repo"
if [[ -f "$sentinel_file" ]]; then
	# We're running from inside a repo
	CDMG_SUPPORT_DIR="$SCRIPT_DIR/support"
else
	# We're running inside an installed location
	bin_dir="$SCRIPT_DIR"
	prefix_dir=$(dirname "$bin_dir")
	CDMG_SUPPORT_DIR="$prefix_dir/share/create-dmg/support"
fi

if [[ -z "$VOLUME_NAME" ]]; then
	VOLUME_NAME="$(basename "$DMG_PATH" .dmg)"
fi

if [[ ! -d "$CDMG_SUPPORT_DIR" ]]; then
	echo >&2 "Cannot find support/ directory: expected at: $CDMG_SUPPORT_DIR"
	exit 1
fi

if [[ -f "$SRC_FOLDER/.DS_Store" ]]; then
	echo "Deleting .DS_Store found in source folder"
	rm "$SRC_FOLDER/.DS_Store"
fi

# Create the image
echo "Creating disk image..."
if [[ -f "${DMG_TEMP_NAME}" ]]; then
	rm -f "${DMG_TEMP_NAME}"
fi

# Use Megabytes since hdiutil fails with very large byte numbers
function blocks_to_megabytes() {
	# Add 1 extra MB, since there's no decimal retention here
	MB_SIZE=$((($1 * 512 / 1000 / 1000) + 1))
	echo $MB_SIZE
}

function get_size() {
	# Get block size in disk
	bytes_size=$(du -s "$1" | sed -e 's/	.*//g')
	echo $(blocks_to_megabytes $bytes_size)
}

# Create the DMG with the specified size or the hdiutil estimation
CUSTOM_SIZE=''
if [[ -n "$DISK_IMAGE_SIZE" ]]; then
	CUSTOM_SIZE="-size ${DISK_IMAGE_SIZE}m"
fi

if [[ $SANDBOX_SAFE -eq 0 ]]; then
	hdiutil create ${HDIUTIL_VERBOSITY} -srcfolder "$SRC_FOLDER" -volname "${VOLUME_NAME}" \
		-fs HFS+ -fsargs "-c c=64,a=16,e=16" -format UDRW ${CUSTOM_SIZE} "${DMG_TEMP_NAME}"
else	
	hdiutil makehybrid ${HDIUTIL_VERBOSITY} -default-volume-name "${VOLUME_NAME}" -hfs -o "${DMG_TEMP_NAME}" "$SRC_FOLDER"
	hdiutil convert -format UDRW -ov -o "${DMG_TEMP_NAME}" "${DMG_TEMP_NAME}"
	DISK_IMAGE_SIZE_CUSTOM=$DISK_IMAGE_SIZE
fi

# Get the created DMG actual size
DISK_IMAGE_SIZE=$(get_size "${DMG_TEMP_NAME}")

# Use the custom size if bigger
if [[ $SANDBOX_SAFE -eq 1 ]] && [[ ! -z "$DISK_IMAGE_SIZE_CUSTOM" ]] && [[ $DISK_IMAGE_SIZE_CUSTOM -gt $DISK_IMAGE_SIZE ]]; then
	DISK_IMAGE_SIZE=$DISK_IMAGE_SIZE_CUSTOM
fi

# Estimate the additional sources size
if [[ -n "$ADD_FILE_SOURCES" ]]; then
	for i in "${!ADD_FILE_SOURCES[@]}"; do
		SOURCE_SIZE=$(get_size "${ADD_FILE_SOURCES[$i]}")
		DISK_IMAGE_SIZE=$(expr $DISK_IMAGE_SIZE + $SOURCE_SIZE)
	done
fi

# Add extra space for additional resources
DISK_IMAGE_SIZE=$(expr $DISK_IMAGE_SIZE + 20)

# Make sure target image size is within limits
MIN_DISK_IMAGE_SIZE=$(hdiutil resize -limits "${DMG_TEMP_NAME}" | awk 'NR=1{print int($1/2048+1)}')
if [ $MIN_DISK_IMAGE_SIZE -gt $DISK_IMAGE_SIZE ]; then
       DISK_IMAGE_SIZE=$MIN_DISK_IMAGE_SIZE
fi

# Resize the image for the extra stuff
hdiutil resize ${HDIUTIL_VERBOSITY} -size ${DISK_IMAGE_SIZE}m "${DMG_TEMP_NAME}"

# Mount the new DMG

MOUNT_DIR="/Volumes/${VOLUME_NAME}"

# Unmount leftover dmg if it was mounted previously (e.g. developer mounted dmg, installed app and forgot to unmount it)
if [[ -d "${MOUNT_DIR}" ]]; then
	echo "Unmounting old disk image from $MOUNT_DIR..."
	DEV_NAME=$(hdiutil info | grep -E --color=never '^/dev/' | sed 1q | awk '{print $1}')
	hdiutil detach "${DEV_NAME}"
fi

echo "Mounting disk image..."

echo "Mount directory: $MOUNT_DIR"
DEV_NAME=$(hdiutil attach -readwrite -noverify -noautoopen "${DMG_TEMP_NAME}" | grep -E --color=never '^/dev/' | sed 1q | awk '{print $1}')
echo "Device name:     $DEV_NAME"

if [[ -n "$BACKGROUND_FILE" ]]; then
	echo "Copying background file '$BACKGROUND_FILE'..."
	[[ -d "$MOUNT_DIR/.background" ]] || mkdir "$MOUNT_DIR/.background"
	cp "$BACKGROUND_FILE" "$MOUNT_DIR/.background/$BACKGROUND_FILE_NAME"
fi

if [[ -n "$APPLICATION_LINK" ]]; then
	echo "Making link to Applications dir..."
	echo $MOUNT_DIR
	ln -s /Applications "$MOUNT_DIR/Applications"
fi

if [[ -n "$QL_LINK" ]]; then
	echo "Making link to QuickLook install dir..."
	echo $MOUNT_DIR
	ln -s "/Library/QuickLook" "$MOUNT_DIR/QuickLook"
fi

if [[ -n "$VOLUME_ICON_FILE" ]]; then
	echo "Copying volume icon file '$VOLUME_ICON_FILE'..."
	cp "$VOLUME_ICON_FILE" "$MOUNT_DIR/.VolumeIcon.icns"
	SetFile -c icnC "$MOUNT_DIR/.VolumeIcon.icns"
fi

if [[ -n "$ADD_FILE_SOURCES" ]]; then
	echo "Copying custom files..."
	for i in "${!ADD_FILE_SOURCES[@]}"; do
		echo "${ADD_FILE_SOURCES[$i]}"
		cp -a "${ADD_FILE_SOURCES[$i]}" "$MOUNT_DIR/${ADD_FILE_TARGETS[$i]}"
	done
fi

# Run AppleScript to do all the Finder cosmetic stuff
APPLESCRIPT_FILE=$(mktemp -t createdmg.tmp.XXXXXXXXXX)
if [[ $SANDBOX_SAFE -eq 1 ]]; then
	echo "Skipping Finder-prettifying AppleScript because we are in Sandbox..."
else
	if [[ $SKIP_JENKINS -eq 0 ]]; then
		cat "$CDMG_SUPPORT_DIR/template.applescript" \
			| sed -e "s/WINX/$WINX/g" -e "s/WINY/$WINY/g" -e "s/WINW/$WINW/g" \
					-e "s/WINH/$WINH/g" -e "s/BACKGROUND_CLAUSE/$BACKGROUND_CLAUSE/g" \
					-e "s/REPOSITION_HIDDEN_FILES_CLAUSE/$REPOSITION_HIDDEN_FILES_CLAUSE/g" \
					-e "s/ICON_SIZE/$ICON_SIZE/g" -e "s/TEXT_SIZE/$TEXT_SIZE/g" \
			| perl -pe "s/POSITION_CLAUSE/$POSITION_CLAUSE/g" \
			| perl -pe "s/QL_CLAUSE/$QL_CLAUSE/g" \
			| perl -pe "s/APPLICATION_CLAUSE/$APPLICATION_CLAUSE/g" \
			| perl -pe "s/HIDING_CLAUSE/$HIDING_CLAUSE/" \
			> "$APPLESCRIPT_FILE"
		sleep 2 # pause to workaround occasional "Can’t get disk" (-1728) issues  
		echo "Running AppleScript to make Finder stuff pretty: /usr/bin/osascript \"${APPLESCRIPT_FILE}\" \"${VOLUME_NAME}\""
		if /usr/bin/osascript "${APPLESCRIPT_FILE}" "${VOLUME_NAME}"; then
			# Okay, we're cool
			true
		else
			echo >&2 "Failed running AppleScript"
			hdiutil detach "${DEV_NAME}"
			exit 64
		fi
		echo "Done running the AppleScript..."
		sleep 4
		rm "$APPLESCRIPT_FILE"
	fi
fi

# Make sure it's not world writeable
echo "Fixing permissions..."
chmod -Rf go-w "${MOUNT_DIR}" &> /dev/null || true
echo "Done fixing permissions"

# Make the top window open itself on mount:
if [[ $BLESS -eq 1 && $SANDBOX_SAFE -eq 0 ]]; then
	echo "Blessing started"
	bless --folder "${MOUNT_DIR}" --openfolder "${MOUNT_DIR}"
	echo "Blessing finished"
else
	echo "Skipping blessing on sandbox"
fi

if [[ -n "$VOLUME_ICON_FILE" ]]; then
	# Tell the volume that it has a special file attribute
	SetFile -a C "$MOUNT_DIR"
fi

# Delete unnecessary file system events log if possible
echo "Deleting .fseventsd"
rm -rf "${MOUNT_DIR}/.fseventsd" || true

# Unmount
unmounting_attempts=0
until
  echo "Unmounting disk image..."
  (( unmounting_attempts++ ))
  hdiutil detach "${DEV_NAME}"
	exit_code=$?
	(( exit_code ==  0 )) && break            # nothing goes wrong
	(( exit_code != 16 )) && exit $exit_code  # exit with the original exit code
	# The above statement returns 1 if test failed (exit_code == 16).
	#   It can make the code in the {do... done} block to be executed
do
  (( unmounting_attempts == MAXIMUM_UNMOUNTING_ATTEMPTS )) && exit 16  # patience exhausted, exit with code EBUSY
	echo "Wait a moment..."
  sleep $(( 1 * (2 ** unmounting_attempts) ))
done
unset unmounting_attempts

# Compress image
echo "Compressing disk image..."
hdiutil convert ${HDIUTIL_VERBOSITY} "${DMG_TEMP_NAME}" -format ${FORMAT} ${IMAGEKEY} -o "${DMG_DIR}/${DMG_NAME}"
rm -f "${DMG_TEMP_NAME}"

# Adding EULA resources
if [[ -n "${EULA_RSRC}" && "${EULA_RSRC}" != "-null-" ]]; then
	echo "Adding EULA resources..."
	#
	# Use udifrez instead flatten/rez/unflatten
	# https://github.com/create-dmg/create-dmg/issues/109
	#
	# Based on a thread from dawn2dusk & peterguy
	# https://developer.apple.com/forums/thread/668084
	#
	EULA_RESOURCES_FILE=$(mktemp -t createdmg.tmp.XXXXXXXXXX)
	EULA_FORMAT=$(file -b ${EULA_RSRC})
	if [[ ${EULA_FORMAT} == 'Rich Text Format data'* ]] ; then
		EULA_FORMAT='RTF '
	else
		EULA_FORMAT='TEXT'
	fi
	# Encode the EULA to base64
	# Replace 'openssl base64' with 'base64' if Mac OS X 10.6 support is no more needed
	# EULA_DATA="$(base64 -b 52 "${EULA_RSRC}" | sed s$'/^\(.*\)$/\t\t\t\\1/')"
	EULA_DATA="$(openssl base64 -in "${EULA_RSRC}" | tr -d '\n' | awk '{gsub(/.{52}/,"&\n")}1' | sed s$'/^\(.*\)$/\t\t\t\\1/')"
	# Fill the template with the custom EULA contents
	eval "cat > \"${EULA_RESOURCES_FILE}\" <<EOF                                                                                                                  
	$(<${CDMG_SUPPORT_DIR}/eula-resources-template.xml)
	EOF
	"
	# Apply the resources
	hdiutil udifrez -xml "${EULA_RESOURCES_FILE}" '' -quiet "${DMG_DIR}/${DMG_NAME}" || {
		echo "Failed to add the EULA license"
		exit 1
	}
	echo "Successfully added the EULA license"
fi

# Enable "internet", whatever that is
if [[ ! -z "${NOINTERNET}" && "${NOINTERNET}" == 1 ]]; then
	echo "Not setting 'internet-enable' on the dmg, per caller request"
else
	# Check if hdiutil supports internet-enable
	# Support was removed in macOS 10.15. See https://github.com/andreyvit/create-dmg/issues/76
	if hdiutil internet-enable -help >/dev/null 2>/dev/null; then
		hdiutil internet-enable -yes "${DMG_DIR}/${DMG_NAME}"
	else
		echo "hdiutil does not support internet-enable. Note it was removed in macOS 10.15."
	fi
fi

if [[ -n "${SIGNATURE}" && "${SIGNATURE}" != "-null-" ]]; then
	echo "Codesign started"	
	codesign -s "${SIGNATURE}" "${DMG_DIR}/${DMG_NAME}"
	dmgsignaturecheck="$(codesign --verify --deep --verbose=2 --strict "${DMG_DIR}/${DMG_NAME}" 2>&1 >/dev/null)"
	if [ $? -eq 0 ]; then
		echo "The disk image is now codesigned"
	else
		echo "The signature seems invalid${NC}"
		exit 1
	fi
fi

if [[ -n "${NOTARIZE}" && "${NOTARIZE}" != "-null-" ]]; then
	echo "Notarization started"	
	xcrun notarytool submit "${DMG_DIR}/${DMG_NAME}" --keychain-profile "${NOTARIZE}" --wait
	echo "Stapling the notarization ticket"
	staple="$(xcrun stapler staple "${DMG_DIR}/${DMG_NAME}")"
	if [ $? -eq 0 ]; then
		echo "The disk image is now notarized"
	else
		echo "$staple"
		echo "The notarization failed with error $?"
		exit 1
	fi
fi

# All done!
echo "Disk image done"
exit 0


================================================
FILE: scripts/create-dmg-1.1.0/doc-project/Developer Notes.md
================================================
# create-dmg Developer Notes

## Repo layout

- `create-dmg` in the root of the repo is the main program
- `support/` contains auxiliary scripts used by `create-dmg`; it must be at that relative position to `create-dmg`
- `builder/` contains ????
- `examples/` contains user-facing examples
- `tests/` contains regression tests for developers
- `doc-project/` contains developer-facing documentation about this project

### tests/

The `tests/` folder contains regression tests for developers.

Each test is in its own subfolder.
Each subfolder name should start with a 3-digit number that is the number of the corresponding bug report in create-dmg's GitHub issue tracker.

The tests are to be run manually, with the results examined manually.
There's no automated script to run them as a suite and check their results.
That might be nice to have.

### examples/

Each example is in its own subfolder.
The subfolder prefix number is arbitrary; these numbers should roughly be in order of "advancedness" of examples, so it makes sense for users to go through them in order.

## Versioning

As of May 2020, we're using SemVer versioning.
The old version numbers were 4-parters, like "1.0.0.7".
Now we use 3-part SemVer versions, like "1.0.8".
This change happened after version 1.0.0.7; 1.0.8 is the next release after 1.0.0.7.

The suffix "-SNAPSHOT" is used to denote a version that is still under development.


================================================
FILE: scripts/create-dmg-1.1.0/doc-project/Release Checklist.md
================================================
# Release Checklist

- Update the version in `create-dmg`'s `pure_version` function
  - Remove the "-SNAPSHOT" suffix
- Commit
- Tag the release as `vX.X.X`
- `git push --tags`
- Create a release on the GitHub project page
- Open development on the next release
  - Bump the version number and add a "-SNAPSHOT" suffix to it


================================================
FILE: scripts/create-dmg-1.1.0/examples/01-main-example/sample
================================================
#!/usr/bin/env bash

if [[ -e ../../create-dmg ]]; then
  # We're running from the repo
  CREATE_DMG=../../create-dmg
else
  # We're running from an installation under a prefix
  CREATE_DMG=../../../../bin/create-dmg
fi

# Since create-dmg does not clobber, be sure to delete previous DMG
[[ -f Application-Installer.dmg ]] && rm Application-Installer.dmg

# Create the DMG
$CREATE_DMG \
  --volname "Application Installer" \
  --background "installer_background.png" \
  --window-pos 200 120 \
  --window-size 800 400 \
  --icon-size 100 \
  --icon "Application.app" 200 190 \
  --hide-extension "Application.app" \
  --app-drop-link 600 185 \
  "Application-Installer.dmg" \
  "source_folder/"


================================================
FILE: scripts/create-dmg-1.1.0/examples/01-main-example/source_folder/Application.app
================================================


================================================
FILE: scripts/create-dmg-1.1.0/support/eula-resources-template.xml
================================================
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
<plist version="1.0">
<dict>
	<key>LPic</key>
	<array>
		<dict>
			<key>Attributes</key>
			<string>0x0000</string>
			<key>Data</key>
			<data>
			AAAAAgAAAAAAAAAAAAQAAA==
			</data>
			<key>ID</key>
			<string>5000</string>
			<key>Name</key>
			<string></string>
		</dict>
	</array>
	<key>STR#</key>
	<array>
		<dict>
			<key>Attributes</key>
			<string>0x0000</string>
			<key>Data</key>
			<data>
			AAYNRW5nbGlzaCB0ZXN0MQVBZ3JlZQhEaXNhZ3JlZQVQcmludAdT
			YXZlLi4ueklmIHlvdSBhZ3JlZSB3aXRoIHRoZSB0ZXJtcyBvZiB0
			aGlzIGxpY2Vuc2UsIGNsaWNrICJBZ3JlZSIgdG8gYWNjZXNzIHRo
			ZSBzb2Z0d2FyZS4gIElmIHlvdSBkbyBub3QgYWdyZWUsIHByZXNz
			ICJEaXNhZ3JlZS4i
			</data>
			<key>ID</key>
			<string>5000</string>
			<key>Name</key>
			<string>English buttons</string>
		</dict>
		<dict>
			<key>Attributes</key>
			<string>0x0000</string>
			<key>Data</key>
			<data>
			AAYHRW5nbGlzaAVBZ3JlZQhEaXNhZ3JlZQVQcmludAdTYXZlLi4u
			e0lmIHlvdSBhZ3JlZSB3aXRoIHRoZSB0ZXJtcyBvZiB0aGlzIGxp
			Y2Vuc2UsIHByZXNzICJBZ3JlZSIgdG8gaW5zdGFsbCB0aGUgc29m
			dHdhcmUuICBJZiB5b3UgZG8gbm90IGFncmVlLCBwcmVzcyAiRGlz
			YWdyZWUiLg==
			</data>
			<key>ID</key>
			<string>5002</string>
			<key>Name</key>
			<string>English</string>
		</dict>
	</array>
	<key>${EULA_FORMAT}</key>
	<array>
		<dict>
			<key>Attributes</key>
			<string>0x0000</string>
			<key>Data</key>
			<data>
${EULA_DATA}
			</data>
			<key>ID</key>
			<string>5000</string>
			<key>Name</key>
			<string>English</string>
		</dict>
	</array>
	<key>TMPL</key>
	<array>
		<dict>
			<key>Attributes</key>
			<string>0x0000</string>
			<key>Data</key>
			<data>
			E0RlZmF1bHQgTGFuZ3VhZ2UgSUREV1JEBUNvdW50T0NOVAQqKioq
			TFNUQwtzeXMgbGFuZyBJRERXUkQebG9jYWwgcmVzIElEIChvZmZz
			ZXQgZnJvbSA1MDAwRFdSRBAyLWJ5dGUgbGFuZ3VhZ2U/RFdSRAQq
			KioqTFNURQ==
			</data>
			<key>ID</key>
			<string>128</string>
			<key>Name</key>
			<string>LPic</string>
		</dict>
	</array>
	<key>styl</key>
	<array>
		<dict>
			<key>Attributes</key>
			<string>0x0000</string>
			<key>Data</key>
			<data>
			AAMAAAAAAAwACQAUAAAAAAAAAAAAAAAAACcADAAJABQBAAAAAAAA
			AAAAAAAAKgAMAAkAFAAAAAAAAAAAAAA=
			</data>
			<key>ID</key>
			<string>5000</string>
			<key>Name</key>
			<string>English</string>
		</dict>
	</array>
</dict>
</plist>


================================================
FILE: scripts/create-dmg-1.1.0/support/template.applescript
================================================
on run (volumeName)
	tell application "Finder"
		tell disk (volumeName as string)
			open

			set theXOrigin to WINX
			set theYOrigin to WINY
			set theWidth to WINW
			set theHeight to WINH

			set theBottomRightX to (theXOrigin + theWidth)
			set theBottomRightY to (theYOrigin + theHeight)
			set dsStore to "\"" & "/Volumes/" & volumeName & "/" & ".DS_STORE\""

			tell container window
				set current view to icon view
				set toolbar visible to false
				set statusbar visible to false
				set the bounds to {theXOrigin, theYOrigin, theBottomRightX, theBottomRightY}
				set statusbar visible to false
				REPOSITION_HIDDEN_FILES_CLAUSE
			end tell

			set opts to the icon view options of container window
			tell opts
				set icon size to ICON_SIZE
				set text size to TEXT_SIZE
				set arrangement to not arranged
			end tell
			BACKGROUND_CLAUSE

			-- Positioning
			POSITION_CLAUSE

			-- Hiding
			HIDING_CLAUSE

			-- Application and QL Link Clauses
			APPLICATION_CLAUSE
			QL_CLAUSE
			close
			open
			-- Force saving of the size
			delay 1

			tell container window
				set statusbar visible to false
				set the bounds to {theXOrigin, theYOrigin, theBottomRightX - 10, theBottomRightY - 10}
			end tell
		end tell

		delay 1

		tell disk (volumeName as string)
			tell container window
				set statusbar visible to false
				set the bounds to {theXOrigin, theYOrigin, theBottomRightX, theBottomRightY}
			end tell
		end tell

		--give the finder some time to write the .DS_Store file
		delay 3

		set waitTime to 0
		set ejectMe to false
		repeat while ejectMe is false
			delay 1
			set waitTime to waitTime + 1
			
			if (do shell script "[ -f " & dsStore & " ]; echo $?") = "0" then set ejectMe to true
		end repeat
		log "waited " & waitTime & " seconds for .DS_STORE to be created."
	end tell
end run


================================================
FILE: scripts/create-dmg-1.1.0/tests/007-space-in-dir-name/my files/hello.txt
================================================
Hello world


================================================
FILE: scripts/create-dmg-1.1.0/tests/007-space-in-dir-name/run-test
================================================
#!/usr/bin/env bash

# Test for https://github.com/create-dmg/create-dmg/issues/7 - spaces in folder names

../../create-dmg "my disk image.dmg" "my files"

================================================
FILE: scripts/macos_build.sh
================================================
#!/bin/bash

set -e

ARCH=x86_64-apple-darwin
ARCH_NAME=x86_64

rustup target add x86_64-apple-darwin

if [ $# -ne 0 ]; then
    echo "$1"
    if [ "$1" = "-a" ]; then
        echo "222"
        ARCH=aarch64-apple-darwin
        ARCH_NAME=arm64
        rustup target add aarch64-apple-darwin
    fi
fi

MACOS_DMG_NAME=graphpu-0.5.0-macos-${ARCH_NAME}

APP_NAME=graphpu
MACOS_BIN_NAME=GraphPU
MACOS_APP_NAME=GraphPU
MACOS_APP_NAME_APP=$MACOS_APP_NAME.app
MACOS_APP_DIR_PREFIX=app_${ARCH_NAME}
MACOS_APP_DIR=${MACOS_APP_DIR_PREFIX}/${MACOS_APP_NAME_APP}

cd ../

mkdir -p macos_build
cd macos_build

echo "Creating app directory structure"
rm -rf $MACOS_APP_NAME
rm -rf $MACOS_APP_DIR
mkdir -p $MACOS_APP_DIR/Contents/MacOS

cargo rustc \
    --release \
    --target=$ARCH \
    --features exe
#    --verbose \

echo "Copying binary"
MACOS_APP_BIN=$MACOS_APP_DIR/Contents/MacOS/$MACOS_BIN_NAME
cp ../target/$ARCH/release/$APP_NAME $MACOS_APP_BIN
chmod 777 $MACOS_APP_BIN

echo "Copying resources directory"
cp -r ../resources $MACOS_APP_DIR/Contents/MacOS

echo "Copying launcher"
cp ../scripts/macos_launch.sh $MACOS_APP_DIR/Contents/MacOS/${MACOS_APP_NAME}_Launcher
chmod 777 $MACOS_APP_DIR/Contents/MacOS/${MACOS_APP_NAME}_Launcher

echo "Copying Icon"
mkdir -p $MACOS_APP_DIR/Contents/Resources
cp ../resources/Info.plist $MACOS_APP_DIR/Contents/
cp ../resources/app.icns $MACOS_APP_DIR/Contents/Resources/

echo "Code Signing"
codesign -s "5BW8DTZV3H" --deep -v -f -o runtime $MACOS_APP_DIR

echo "Creating dmg"
# mkdir -p $MACOS_APP_NAME
# cp -r $MACOS_APP_DIR $MACOS_APP_NAME/
# rm -rf $MACOS_APP_NAME/.Trashes

# FULL_NAME=$MACOS_APP_NAME

# hdiutil create $FULL_NAME.dmg -srcfolder $MACOS_APP_NAME -ov
# rm -rf $MACOS_APP_NAME


# Since create-dmg does not clobber, be sure to delete previous DMG
[[ -f $MACOS_DMG_NAME.dmg ]] && rm $MACOS_DMG_NAME.dmg

# Create the DMG
../scripts/create-dmg-1.1.0/create-dmg \
  --volname $MACOS_DMG_NAME \
  --volicon "../resources/app.icns" \
  --background "../scripts/installer_background.jpg" \
  --window-pos 200 120 \
  --window-size 540 375 \
  --icon-size 120 \
  --hide-extension $MACOS_APP_NAME_APP \
  --text-size 12 \
  --icon $MACOS_APP_NAME_APP 140 190 \
  --hide-extension $MACOS_APP_NAME_APP \
  --app-drop-link 400 190 \
  $MACOS_DMG_NAME.dmg \
  "./${MACOS_APP_DIR_PREFIX}"


xcrun notarytool submit $MACOS_DMG_NAME.dmg \
    --keychain-profile "nhciao" \
    --wait

xcrun stapler staple $MACOS_DMG_NAME.dmg

cd ../
cd ./scripts/

================================================
FILE: scripts/macos_build_entry.sh
================================================
#!/bin/bash

. ./macos_build.sh
. ./macos_build.sh -a

================================================
FILE: scripts/macos_cross_compile.sh
================================================
#!/bin/bash

brew install mingw-w64

. ./windows_build.sh

================================================
FILE: scripts/macos_launch.sh
================================================
#!/bin/bash

DIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" && pwd )"
BIN=GraphPU

"${DIR}/${BIN}"

================================================
FILE: scripts/windows_build.sh
================================================
#!/bin/bash

cd ../

BUILD_DIR=windows_build
APP_BUNDLE_NAME=graphpu-0.5.0-windows-x86_64
APP_BUNDLE_DIR=${BUILD_DIR}/${APP_BUNDLE_NAME}
ARCH=x86_64-pc-windows-msvc

rm -rf ${APP_BUNDLE_DIR}
rustup target add ${ARCH}
cargo build --release --features exe --target ${ARCH}
mkdir -p ${APP_BUNDLE_DIR}/

cp target/${ARCH}/release/graphpu.exe ${APP_BUNDLE_DIR}/GraphPU.exe
cp -r resources ${APP_BUNDLE_DIR}/
#cd windows_build
#rcedit "Graphpu.exe" --set-icon "resources\\app_icon.ico"

================================================
FILE: src/app.rs
================================================
use crate::components::detail_view::show_message;
use crate::components::dock_view::DockView;
use crate::components::drawer_view::DrawerView;
use crate::components::shortcuts::Shortcut;
use crate::constant::{FONT_SIZE_BODY, FONT_SIZE_HEADING};
use crate::models::app_model::DockStage;
use crate::{
    components::{
        detail_view::DetailView, export_modal_view::ExportModal, graphics_view::GraphicsView,
        import_modal_view::ImportModal, inspector_view::InspectorView, menubar_view::MenuBarView,
        table_view::TableView, AppView,
    },
    models::{
        app_model::{AppModel, MainStage},
        data_model::DataModel,
        graphics_model::GraphicsModel,
        Models,
    },
};
use egui::{Color32, TextStyle};

pub struct MainApp {
    pub models: Models,
    inspector_view: InspectorView,
    drawer_view: DrawerView,
    import_modal: ImportModal,
    export_modal: ExportModal,
}

impl MainApp {
    pub fn new(cc: &eframe::CreationContext<'_>) -> Self {
        let mut style = (*cc.egui_ctx.style()).clone();
        style.visuals.widgets.active.fg_stroke.color = Color32::from_white_alpha(220);
        style.visuals.widgets.inactive.fg_stroke.color = Color32::from_white_alpha(190);
        style.visuals.widgets.noninteractive.fg_stroke.color = Color32::from_white_alpha(170);
        // style.visuals.widgets.noninteractive.bg_stroke.color = Color32::from_gray(0);
        style.visuals.selection.bg_fill = Color32::from_rgb(86, 89, 225);
        style.visuals.selection.stroke.color = Color32::from_white_alpha(240);

        style.visuals.widgets.hovered.bg_stroke.width = 0.0;
        style.visuals.widgets.hovered.expansion = 0.0;
        style.visuals.widgets.active.bg_stroke.width = 0.0;
        style.visuals.widgets.active.expansion = 0.0;

        // style.visuals.collapsing_header_frame = true;

        style.spacing.icon_width = 12.0;
        style.spacing.indent = 16.0;

        style.text_styles.get_mut(&TextStyle::Body).unwrap().size = FONT_SIZE_BODY;
        style.text_styles.get_mut(&TextStyle::Button).unwrap().size = FONT_SIZE_BODY;
        style.text_styles.get_mut(&TextStyle::Heading).unwrap().size = FONT_SIZE_HEADING;

        // style.text_styles = [
        //     (Heading, FontId::new(30.0, Proportional)),
        //     (Name("Heading2".into()), FontId::new(25.0, Proportional)),
        //     (Name("Context".into()), FontId::new(23.0, Proportional)),
        //     (Body, FontId::new(18.0, Proportional)),
        //     (Monospace, FontId::new(14.0, Proportional)),
        //     (Button, FontId::new(14.0, Proportional)),
        //     (Small, FontId::new(10.0, Proportional)),
        // ].into();

        style.spacing.button_padding = egui::vec2(8.0, 1.0);

        cc.egui_ctx.set_style(style);

        let mut fonts = egui::FontDefinitions::default();

        fonts.font_data.insert(
            "prop_font".to_owned(),
            egui::FontData::from_static(include_bytes!("./assets/fonts/droidsans.ttf")),
        );

        fonts.font_data.insert(
            "mono_font".to_owned(),
            egui::FontData::from_static(include_bytes!("./assets/fonts/bmonofont-i18n.ttf")),
        ); // .ttf and .otf supported

        fonts
            .families
            .get_mut(&egui::FontFamily::Proportional)
            .unwrap()
            .insert(0, "prop_font".to_owned());

        fonts
            .families
            .get_mut(&egui::FontFamily::Monospace)
            .unwrap()
            .insert(0, "mono_font".to_owned());
        // .push("mono_font".to_owned());

        cc.egui_ctx.set_fonts(fonts);

        // cc.egui_ctx.set_debug_on_hover(true);

        let mut main_app = MainApp {
            models: Models {
                graphics_model: GraphicsModel::init(cc),
                data_model: DataModel::default(),
                app_model: AppModel::default(),
            },
            inspector_view: Default::default(),
            drawer_view: Default::default(),
            import_modal: ImportModal::default(),
            export_modal: ExportModal::default(),
        };

        if let Some(pixels_per_point) = cc.integration_info.native_pixels_per_point {
            main_app.models.app_model.pixels_per_point = pixels_per_point;
        }

        main_app
    }
}

impl eframe::App for MainApp {
    fn update(&mut self, ctx: &egui::Context, frame: &mut eframe::Frame) {
        self.models.app_model.ui_frame_count += 1u32;

        egui::CentralPanel::default()
            .frame(egui::Frame::none())
            .show(ctx, |ui| {
                ui.spacing_mut().item_spacing = egui::vec2(0.0, 0.0);
                // ui.set_enabled(false);

                Shortcut::default().apply(&mut self.models, ui, frame);

                if !self.models.app_model.is_fullscreen_graphics {
                    MenuBarView::default().show(&mut self.models, ui, frame);
                    DetailView::default().show(&mut self.models, ui, frame);
                    self.inspector_view.show(&mut self.models, ui, frame);
                    DockView::default().show(&mut self.models, ui, frame);
                    if self.models.app_model.dock_stage != DockStage::None {
                        self.drawer_view.show(&mut self.models, ui, frame);
                    }
                    match self.models.app_model.main_stage {
                        MainStage::Graphics => {
                            GraphicsView::default().show(&mut self.models, ui, frame)
                        }
                        MainStage::Table => TableView::default().show(&mut self.models, ui, frame),
                    };
                } else {
                    GraphicsView::default().show(&mut self.models, ui, frame);
                    show_message(&mut self.models, ui, frame, 2);
                }
            });

        if self.models.app_model.is_import_visible {
            self.import_modal.show(ctx, &mut self.models);
        }

        if self.models.app_model.is_export_visible {
            self.export_modal.show(ctx, &mut self.models);
        }
    }
}


================================================
FILE: src/assets/shaders/CS_graph_solver.wgsl
================================================
struct Node {
    position: vec3<f32>,
    _empty_1: i32,
    force: vec3<f32>,
    _empty_2: i32,
    prev_force: vec3<f32>,
    mass: atomic<u32>,
};

struct Uniforms {
    frame_num: u32,
    node_count: u32,
    edge_count: u32,
    edge_sort_count: u32,
    tree_node_count: u32,
    bounding_count: u32,
    kernel_status_count: u32,
};

struct Bound {
    bound_min: vec3<f32>,
    bound_max: vec3<f32>,
}

struct BHTree {
    max_depth: atomic<u32>,
    bottom: atomic<u32>,
    radius: f32,
    _empty: i32,
}

struct BHTreeNode {
    position: vec3<f32>,
    _empty: i32,
    mass: atomic<i32>,
    count: i32,
    start: atomic<i32>,
    sort: i32,
}

struct Kvp {
    sort_key: f32,
    index: u32,
}

struct KvpParam {
    dim: u32,
    block_count: u32,
}

struct Transform {
    view: mat4x4<f32>,
    projection: mat4x4<f32>,
    time: vec4<f32>,
    screen: vec4<f32>,
    camera: vec4<f32>,
}

struct NodeEdgeSortRange {
    min: atomic<u32>,
    max: atomic<u32>,
}

@group(0) @binding(0)  var<uniform>             uniforms:               Uniforms;
@group(0) @binding(1)  var<storage, read_write> node_src:               array<Node>;
@group(0) @binding(2)  var<storage, read>       edge_src:               array<vec2<u32>>;
@group(0) @binding(3)  var<storage, read_write> spring_force_src:       array<vec3<f32>>;
@group(0) @binding(4)  var<storage, read_write> bounding:               array<Bound>;
@group(0) @binding(5)  var<storage, read_write> bhTree:                 BHTree;
@group(0) @binding(6)  var<storage, read_write> tree_node_src:          array<BHTreeNode>;
@group(0) @binding(7)  var<storage, read_write> tree_child_src:         array<atomic<i32>>;
@group(0) @binding(8)  var<storage, read_write> kvps:                   array<Kvp>;
@group(0) @binding(9)  var<uniform>             kvps_param:             KvpParam;
@group(0) @binding(10) var<uniform>             transform:              Transform;
@group(0) @binding(11) var<storage, read_write> kernel_status:          array<i32>;
@group(0) @binding(12) var<storage, read_write> edge_sort_node:         array<vec2<u32>>;
@group(0) @binding(13) var<storage, read_write> edge_sort_dir:          array<vec3<f32>>;
@group(0) @binding(14) var<storage, read_write> node_edge_sort_range:   array<NodeEdgeSortRange>;
@group(0) @binding(15) var<storage, read_write> node_copy_src:          array<f32>;

fn hash(s: u32) -> u32 {
    var t : u32 = s;
    t ^= 2747636419u;
    t *= 2654435769u;
    t ^= t >> 16u;
    t *= 2654435769u;
    t ^= t >> 16u;
    t *= 2654435769u;
    return t;
}

fn random(seed: u32) -> f32 {
    return f32(hash(seed)) / 4294967295.0; // 2^32-1
}

fn random_xy(seed_x: u32, seed_y: u32) -> f32 {
    return f32(hash(hash(seed_x) + seed_y)) / 4294967295.0; // 2^32-1
}


@compute
@workgroup_size(256)
fn init_kernel_status(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {

    let total = uniforms.kernel_status_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    kernel_status[index] = 0;

}


@compute
@workgroup_size(256)
fn gen_node(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {

    let total = uniforms.node_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var vPos : vec3<f32> = node_src[index].position;

    vPos.x = random_xy(index, 0u + 3u * uniforms.frame_num) * 2.0 - 1.0;
    vPos.y = random_xy(index, 1u + 3u * uniforms.frame_num) * 2.0 - 1.0;
    vPos.z = random_xy(index, 2u + 3u * uniforms.frame_num) * 2.0 - 1.0;
//    vPos.x = 0.0;
//    vPos.y = 0.0;
//    vPos.z = 0.0;

    // Write back
    node_src[index].position = vPos;
    node_src[index].force = vec3<f32>(0.0);
    node_src[index].prev_force = vec3<f32>(0.0);
    node_src[index].mass = 1u;
    spring_force_src[index] = vec3<f32>(0.0);

    atomicStore(&node_edge_sort_range[index].min, 0u);
    atomicStore(&node_edge_sort_range[index].max, 0u);

}


@compute
@workgroup_size(256)
fn cal_mass(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.edge_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var edge = edge_src[index];
    let source_node: u32 = edge[0];
    let target_node: u32 = edge[1];

    atomicAdd(&node_src[source_node].mass, 1u);
    atomicAdd(&node_src[target_node].mass, 1u);
}


@compute
@workgroup_size(256)
fn cal_gravity_force(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.node_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    // TODO: Global Param
    let strong_gravity = true;
    let k_gravity = 1.0;

    let pos = node_src[index].position;
    let mass = f32(atomicLoad(&node_src[index].mass));
    var gravity_force: f32;
    if (strong_gravity) {
        gravity_force =  k_gravity * mass;
    } else {
        if (pos.x != 0.0 || pos.y != 0.0 || pos.z != 0.0) {
            gravity_force = k_gravity * mass * inverseSqrt(dot(pos, pos));
        }
        else {
            gravity_force = 0.0;
        }
    }
//    node_src[index].force +=  -pos * gravity_force;
//    node_src[index].force +=  -pos * min(gravity_force, 1.0);

    node_src[index].force +=  -pos * 0.5;
}

@compute
@workgroup_size(256)
fn prepare_edge_sort(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.edge_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var edge = edge_src[index];

    edge_sort_node[index * 2u] = edge;
    edge_sort_node[index * 2u + 1u] = vec2<u32>(edge[1], edge[0]);
}

@compute
@workgroup_size(256)
fn sort_edge(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let i = global_invocation_id.x;
    var j = i ^ kvps_param.block_count;

    if (kvps_param.block_count == kvps_param.dim >> 1u) {
        j = i ^ (kvps_param.block_count * 2u - 1u);
    }

    let total = uniforms.edge_sort_count;
    if (j < i || i >= total || j >= total) {
        return;
    }

    let edge_i = edge_sort_node[i];
    let edge_j = edge_sort_node[j];

    if (edge_j[0] < edge_i[0]) {
        edge_sort_node[i] = edge_j;
        edge_sort_node[j] = edge_i;
    }
}

@compute
@workgroup_size(256)
fn compute_node_edge_sort_range(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let i = global_invocation_id.x;

    let total = uniforms.edge_sort_count;
    if (i >= total) {
        return;
    }

    let node_index = edge_sort_node[i][0];

    atomicStore(&node_edge_sort_range[node_index].min, i);
    atomicStore(&node_edge_sort_range[node_index].max, i + 1u);

}
@compute
@workgroup_size(256)
fn compute_node_edge_sort_range_2(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let i = global_invocation_id.x;

    let total = uniforms.edge_sort_count;
    if (i >= total) {
        return;
    }

    let node_index = edge_sort_node[i][0];

    atomicMin(&node_edge_sort_range[node_index].min, i);
    atomicMax(&node_edge_sort_range[node_index].max, i + 1u);

}


var<workgroup> local_sum: array<vec3<f32>, 256>;

@compute
@workgroup_size(256)
fn spring_force_reduction(
    @builtin(local_invocation_index) local_index: u32,
    @builtin(global_invocation_id) global_id: vec3<u32>,
    @builtin(workgroup_id) group_id: vec3<u32>,
) {

    var skip = false;

    var index = global_id.x;
    let total = uniforms.edge_sort_count;
    if (index >= total) {
        index = total - 1u;
    }

    var edge = edge_sort_node[index];
    let source_node: u32 = edge[0];
    let target_node: u32 = edge[1];
    var dir = node_src[target_node].position - node_src[source_node].position;
    local_sum[local_index] = dir;

    if (index >= total) {
        skip = true;
        local_sum[local_index] = vec3<f32>(0.0);
    }

    let range_min = atomicLoad(&node_edge_sort_range[source_node].min);
    let range_max = atomicLoad(&node_edge_sort_range[source_node].max);

    if (range_min >= range_max) {
        skip = true;
    }

    var node_relative_index: i32 = i32(index) - i32(range_min);
    let min_relative_index:  i32 = i32(local_index) - node_relative_index;
    let max_relative_index:  i32 = min_relative_index - i32(range_min) + i32(range_max);

    workgroupBarrier();

    var start = u32(max(min_relative_index, 0));
    var end = u32(min(max_relative_index, 256));

    for (var s = 256u / 2u; s > 0u; s >>= 1u) {

        if (!skip && local_index < start + s) {
            let k = local_index + s;
            if (k < end) {
                local_sum[local_index] += local_sum[k];
            }
        }
        workgroupBarrier();
    }

    if (skip) {
        return;
    }

    if (local_index == start) {
//        node_src[source_node].position += vec3<f32>(0.005, 0.0, 0.0);
//        let dir_sum = local_sum[local_index];
//        edge_sort_src[index].dir = dir_sum;
    }
        let dir_sum = local_sum[local_index];
        edge_sort_dir[index] = dir_sum;
}

@compute
@workgroup_size(256)
fn spring_force(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.node_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    let range_min = atomicLoad(&node_edge_sort_range[index].min);
    let range_max = atomicLoad(&node_edge_sort_range[index].max);

    if (range_min >= range_max) {
        return;
    }

    spring_force_src[index] += edge_sort_dir[range_min];
    for (var i = u32(range_min) - (u32(range_min) % 256u) + 256u; i < u32(range_max); i += 256u) {
        spring_force_src[index] += edge_sort_dir[i];
    }

}

var<workgroup> smin: array<vec3<f32>, 256>;
var<workgroup> smax: array<vec3<f32>, 256>;


@compute
@workgroup_size(256)
fn reduction_bounding(
    @builtin(local_invocation_index) local_index: u32,
    @builtin(global_invocation_id) global_id: vec3<u32>,
    @builtin(workgroup_id) group_id: vec3<u32>,
) {

    var index = global_id.x;
    let total = uniforms.node_count;
    if (index >= total) {
        index = total - 1u;
    }

    smin[local_index] = node_src[index].position;
    smax[local_index] = node_src[index].position;
    workgroupBarrier();

    for (var s = 256u / 2u; s > 0u; s >>= 1u) {
        if (local_index < s) {
            let k = local_index + s;
            smin[local_index] = min(smin[local_index], smin[k]);
            smax[local_index] = max(smax[local_index], smax[k]);
        }
        workgroupBarrier();
    }

    if (local_index == 0u) {
        bounding[group_id.x].bound_min = smin[0];
        bounding[group_id.x].bound_max = smax[0];
    }
}

// 5
@compute
@workgroup_size(256)
fn reduction_bounding_2(
    @builtin(local_invocation_index) local_index: u32,
    @builtin(global_invocation_id) global_id: vec3<u32>,
    @builtin(workgroup_id) group_id: vec3<u32>,
) {

    var index = global_id.x;
    let total = uniforms.bounding_count;
    if (index >= total) {
        index = total - 1u;
    }

    smin[local_index] = bounding[index].bound_min;
    smax[local_index] = bounding[index].bound_max;
    workgroupBarrier();

    for (var s = 256u / 2u; s > 0u; s >>= 1u) {
        if (local_index < s) {
            let k = local_index + s;
            smin[local_index] = min(smin[local_index], smin[k]);
            smax[local_index] = max(smax[local_index], smax[k]);
        }
        workgroupBarrier();
    }

    if (local_index == 0u) {
        bounding[group_id.x].bound_min = smin[0];
        bounding[group_id.x].bound_max = smax[0];
    }
}

// 6
@compute
@workgroup_size(1)
fn bounding_box() {
    var bound_min_min = bounding[0].bound_min;
    var bound_max_max = bounding[0].bound_max;

    let box = bound_max_max - bound_min_min;
    let tree_node_count = uniforms.tree_node_count - 1u;
    bhTree.radius = max(max(box.x, box.y), box.z) * 0.5;
    atomicStore(&bhTree.bottom, tree_node_count);
    atomicStore(&bhTree.max_depth, 0u);
    atomicStore(&tree_node_src[tree_node_count].mass, -1);
    atomicStore(&tree_node_src[tree_node_count].start, 0);
    tree_node_src[tree_node_count].position = (bound_min_min + bound_max_max) * 0.5;
    tree_node_src[tree_node_count].count = -1;
    tree_node_src[tree_node_count].sort = -1;
}

// 7
@compute
@workgroup_size(256)
fn clear_1(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.tree_node_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    for (var i = 0u; i < 8u; i++) {
        atomicStore(&tree_child_src[index * 8u + i], -1);
    }
}

// 8
@compute
@workgroup_size(256)
fn tree_building(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    var index = global_invocation_id.x;
    let node_count = uniforms.node_count;
    let tree_node_count = uniforms.tree_node_count - 1u;
    let root_pos = tree_node_src[tree_node_count].position;
    let inc = min(node_count, 16384u); // should change

    var skip = 1;
    var pos: vec3<f32>;
    var dp: vec3<f32>;
    var rdp: vec3<f32>;
    var n = tree_node_count;
    var depth = 1u;
    var local_max_depth = 1u;
    var j = 0u;
    var root_r = bhTree.radius;
    var r = root_r * 0.5;

    var loop_limit_count = 1000;

    while (index < node_count) {

        if (loop_limit_count < 0) {
            kernel_status[1] = -101;
            break;
        }
        loop_limit_count--;

        if (skip != 0) {
            skip = 0;
            pos = node_src[index].position;

            n = tree_node_count;
            r = root_r * 0.5;
            depth = 1u;

            let compare = step(root_pos, pos);
            j = (u32(compare.x) << 0u) | (u32(compare.y) << 1u) + (u32(compare.z) << 2u); // 八个象限
            dp = -r + compare * (2.0 * r);
            rdp = root_pos + dp; // 所在象限的原点
        }

        // atomicAdd(&tree_child_src[n * 8u + j], 0); // ...
        var ch = atomicLoad(&tree_child_src[n * 8u + j]);

        // 迭代至叶节点
        while (ch >= i32(node_count)) {
            n = u32(ch);
            depth++;
            r *= 0.5;

            let compare = step(rdp, pos);
            j = (u32(compare.x) << 0u) | (u32(compare.y) << 1u) + (u32(compare.z) << 2u);
            dp = -r + compare * (2.0 * r);

            rdp += dp;
            ch = atomicLoad(&tree_child_src[n * 8u + j]);
        }

        let locked = n * 8u + j;
        var locked_ch = -1;

        // 非 lock 状态
        if (ch != -2) {
            if (ch == -1) {
                var v = -1;
                let origin = atomicCompareExchangeWeak(&tree_child_src[locked], v, i32(index));
                if (origin == -1) {
                    local_max_depth = max(depth, local_max_depth);
                    index += inc;
                    skip = 1;
                } else {
                     skip = 0;
                 }
            } else {
                // 格子已被占用，将其设置为 lock 状态
                var v = ch;
                let origin = atomicCompareExchangeWeak(&tree_child_src[locked], v, -2);
                if (ch == origin) {
                    // lock 成功，如果两个点的位置相同，做一点微小偏移就行了
                    if (all(node_src[ch].position == pos)) {
                        node_src[index].position += vec3<f32>(random_xy(index, 0u + 3u * uniforms.frame_num), random_xy(index, 1u + 3u * uniforms.frame_num), random_xy(index, 2u + 3u * uniforms.frame_num)) * 0.2 - 0.1;
                        skip = 0;
                        atomicStore(&tree_child_src[locked], ch);
                        kernel_status[0] = -3;
                        break;
                    }

                    // 两个点位置不同，则开始分裂
                    locked_ch = -1;
                    loop {

                        // 1. create new cell
                        let cell = atomicSub(&bhTree.bottom, 1u) - 1u;
                        if (cell <= node_count) {
                            return;
                        }

                        if (locked_ch != -1) {
                            atomicStore(&tree_child_src[n * 8u + j], i32(cell));
                        }
                        locked_ch = max(locked_ch, i32(cell));

                        // 2. make newly created cell current
                        depth++;
                        n = cell;
                        r *= 0.5;

                        // 3. insert old body into current quadrant
                        let compare = step(rdp, node_src[ch].position);
                        j = (u32(compare.x) << 0u) | (u32(compare.y) << 1u) + (u32(compare.z) << 2u);

                        atomicStore(&tree_child_src[cell * 8u + j], ch);

                        // 4. determin center + quadrant for cell of new body
                        let compare = step(rdp, pos);
                        j = (u32(compare.x) << 0u) | (u32(compare.y) << 1u) + (u32(compare.z) << 2u);
                        dp = -r + compare * (2.0 * r);

                        rdp += dp;

                        // 5. visit this cell/chec if in use (possibly by old body)
                        ch = atomicLoad(&tree_child_src[n * 8u + j]);

                        if (ch < 0) {
                            break;
                        }

                    };
                    atomicStore(&tree_child_src[n * 8u + j], i32(index));
                    local_max_depth = max(depth, local_max_depth);
                    index += inc;
                    skip = 2;
                }
            }
        }
        workgroupBarrier();
        if (skip == 2) {
            atomicStore(&tree_child_src[locked], locked_ch);
        }
    }
    atomicMax(&bhTree.max_depth, local_max_depth);
}

// 9
@compute
@workgroup_size(256)
fn clear_2(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.tree_node_count - 1u;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }
    tree_node_src[index].position = vec3<f32>(0.0);
    tree_node_src[index].count = -1;
    tree_node_src[index].sort = -1;
    atomicStore(&tree_node_src[index].start, -1);
    atomicStore(&tree_node_src[index].mass, -1);
}

// 10
@compute
@workgroup_size(256)
fn summarization(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let bottom = atomicLoad(&bhTree.bottom);
    let tree_node_count = uniforms.tree_node_count - 1u;
    let node_count = uniforms.node_count;
    let inc = min(node_count, 16384u);
    var index = u32((i32(bottom) & -32) + i32(global_invocation_id.x));
    if (index < bottom) {
        index += inc;
    }

    // TODO: ch bounds check
    var schild: array<u32, 8>;
    var smass: array<i32, 8>;
    let restart = index;

    var loop_limit_count = 10000;

    for (var j = 0; j < 5; j++) {

        while (index <= tree_node_count) {

            if (loop_limit_count < 0) {
                kernel_status[2] = 500 + j;
                break;
            }
            loop_limit_count--;

            if (atomicLoad(&tree_node_src[index].mass) < 0) {
                var ch = 0u;
                var i = 0u;
                for (i = 0u; i < 8u; i++) {
                    ch = u32(atomicLoad(&tree_child_src[index * 8u + i]));
                    schild[i] = ch;
                    // atomicAdd(&tree_node_src[ch].mass, 0);
                    smass[i] = atomicLoad(&tree_node_src[ch].mass);
                    if (ch >= node_count && smass[i] < 0) {
                        break;
                    }
                }
                if (i == 8u) {
                    var cm = 0;
                    var pos = vec3<f32>(0.0);
                    var cnt = 0;
                    for (i = 0u; i < 8u; i++) {
                        ch = schild[i];
                        if (ch >= node_count) {
                            let m = smass[i];
                            cnt += tree_node_src[ch].count;
                            pos += tree_node_src[ch].position * f32(m);
                            cm += m;
                        } else {
                            let m = i32(atomicLoad(&node_src[ch].mass));
                            cnt += 1;
                            pos += node_src[ch].position * f32(m);
                            cm += m;
                        }
                    }
                    tree_node_src[index].count = cnt;
                    tree_node_src[index].position = pos / f32(cm);
                    // workgroupBarrier();
                    atomicStore(&tree_node_src[index].mass, cm);
                }
            }
            index += inc;
        }
        index = restart;
    }

    var j = 0;
    var flag = false;
    while (index <= tree_node_count) {

        if (loop_limit_count < 0) {
            kernel_status[2] = 101;
            break;
        }
        loop_limit_count--;

        var cm = 0;
        if (index < node_count) {
            index += inc;
        } else if (index >= node_count && atomicLoad(&tree_node_src[index].mass) >= 0) {
            index += inc;
        } else {
            if (j == 0) {
                j = 8;
                for (var i = 0u; i < 8u; i++) {
                    let ch = u32(atomicLoad(&tree_child_src[index * 8u + i]));
                    schild[i] = ch;
                    smass[i] = atomicLoad(&tree_node_src[ch].mass);
                    if (ch < node_count || smass[i] >= 0) {
                        j--;
                    }
                }
            } else {
                j = 8;
                for (var i = 0u; i < 8u; i++) {
                    let ch = schild[i];
                    let old_mass = smass[i];
                    smass[i] = atomicLoad(&tree_node_src[ch].mass);
                    if (ch < node_count || old_mass >= 0 || smass[i] >= 0) {
                        j--;
                    }
                }
            }

            if (j == 0) {
                cm = 0;
                var pos = vec3<f32>(0.0);
                var cnt = 0;
                for (var i = 0u; i < 8u; i++) {
                    let ch = schild[i];
                    if (ch >= node_count) {
                        let m = smass[i];
                        cnt += tree_node_src[ch].count;
                        pos += tree_node_src[ch].position * f32(m);
                        cm += m;
                    } else {
                        let m = i32(atomicLoad(&node_src[ch].mass));
                        cnt += 1;
                        pos += node_src[ch].position * f32(m);
                        cm += m;
                    }
                }
                tree_node_src[index].count = cnt;
                tree_node_src[index].position = pos / f32(cm);
                flag = true;
            }
        }
        // workgroupBarrier();
        if (flag) {
            if (index < node_count) {
                atomicStore(&node_src[index].mass, u32(cm));
            } else {
                atomicStore(&tree_node_src[index].mass, cm);
            }
            index += inc;
            flag = false;
        }
    }
}

// 11
@compute
@workgroup_size(256)
fn sort(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let tree_node_count = uniforms.tree_node_count - 1u;
    let bottom = atomicLoad(&bhTree.bottom);
    let node_count = uniforms.node_count;
    let inc = min(node_count, 16384u);
    var index = tree_node_count + 1u - inc + global_invocation_id.x;

    var loop_limit_count = 1000;

    while (index >= bottom) {

        if (loop_limit_count < 0) {
            kernel_status[3] = -101;
            break;
        }
        loop_limit_count--;

        workgroupBarrier();
        var start = atomicLoad(&tree_node_src[index].start);

        if (start >= 0) {
            var j = 0u;
            for (var i = 0u; i < 8u; i++) {
                let ch = atomicLoad(&tree_child_src[index * 8u + i]);
                if (ch >= 0) {
                    // 把子节点集中到开头
                    if (i != j) {
                        atomicStore(&tree_child_src[index * 8u + i], -1);
                        atomicStore(&tree_child_src[index * 8u + j], ch);
                    }
                    j++;
                    if (ch >= i32(node_count)) {
                        atomicStore(&tree_node_src[ch].start, start);
                        start += tree_node_src[ch].count;
                    } else {
                        tree_node_src[start].sort = ch;
                        start++;
                    }
                }
            }
            if (index < inc) {
                break;
            }
            index -= inc;
        }
//            if (index < inc) {
//                break;
//            }
//            index -= inc;
    }
}

// 12
@compute
@workgroup_size(256)
fn electron_force(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let tree_node_count = uniforms.tree_node_count - 1u;
    let node_count = uniforms.node_count;
    let inc = min(node_count, 16384u);

    // TODO: Global Param
    let scale = 0.0003;

    var spos: array<u32, 48>;
    var snode: array<u32, 48>;
    var sdq: array<f32, 48>;

    let itolsq = 1.0;
    let epssq = 0.05 * 0.05;
    let diameter = bhTree.radius * 2.0;
    let max_depth = atomicLoad(&bhTree.max_depth);
    sdq[0] = diameter * diameter * itolsq;
    for (var j = 1u; j < max_depth; j++) {
        sdq[j] = sdq[j - 1u] * 0.25;
        sdq[j - 1u] += epssq;
    }
    sdq[max_depth - 1u] += epssq;

    var loop_limit_count = 5000 * i32(node_count / inc);

    if (max_depth < 48u) {
        for (var index = global_invocation_id.x; index < node_count; index += inc) {
            var order = tree_node_src[index].sort;
            if (order < 0) { continue; }

            let pos = node_src[order].position;
            var af = vec3<f32>(0.0);

            var depth = 0u;
            spos[0] = 0u;
            snode[0] = tree_node_count;

            loop {

                if (loop_limit_count < 0) {
                    kernel_status[4] = 101;
                    break;
                }
                loop_limit_count--;

                var pd = spos[depth];
                var nd = snode[depth];
                while (pd < 8u) {

                    if (loop_limit_count < 0) {
                        kernel_status[4] = 101;
                        break;
                    }
                    loop_limit_count--;

                    let n_i32 = atomicLoad(&tree_child_src[nd * 8u + pd]);
                    pd++;

                    if (n_i32 >= 0) {
                        let n = u32(n_i32);
                        var dp: vec3<f32>;
                        if (n < node_count) {
                            dp = pos - node_src[n].position;
                        } else {
                            dp = pos - tree_node_src[n].position;
                        }
                        let dist2 = dot(dp, dp);

                        if (n < node_count) {
                            if (dist2 > 0.0) {
                                let factor = scale * f32(atomicLoad(&node_src[order].mass)) * f32(atomicLoad(&node_src[n].mass)) / dist2;
                                af += dp * factor;
                            }
                        } else if (dist2 >= sdq[depth]) {
                            if (dist2 > 0.0) {
                                let factor = scale * f32(atomicLoad(&node_src[order].mass)) * f32(atomicLoad(&tree_node_src[n].mass)) / dist2;
                                af += dp * factor;
                            }
                        } else {
                            spos[depth] = pd;
                            snode[depth] = nd;
                            depth++;
                            pd = 0u;
                            nd = n;
                        }
                    } else {
                        pd = 8u;
                    }
                }
                if (depth == 0u) {
                    break;
                }
                depth--;
            }
            node_src[order].force += af * 0.25;
        }
    }
}

// 13
@compute
@workgroup_size(256)
fn main(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.node_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    let vPos: vec3<f32> = node_src[index].position;
    let mass = f32(atomicLoad(&node_src[index].mass));

    // TODO: Global Param
    let scaling_ratio = 0.0002;

    var spring_force = spring_force_src[index];
    spring_force_src[index] = vec3<f32>(0.0);
    spring_force *= 100.0;

    node_src[index].force += spring_force;
}

// 14
@compute
@workgroup_size(256)
fn displacement(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.node_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    // TODO: Global Param
    let global_speed = 1.0;

    let d_force = node_src[index].force - node_src[index].prev_force;
    let swg = sqrt(dot(d_force, d_force));
    let factor = global_speed / (1.0 + sqrt(global_speed * swg)) / f32(node_src[index].mass);

    let force = node_src[index].force;
    node_src[index].force = vec3<f32>(0.0);
    node_src[index].prev_force = force;

//    if (index == 0u) {
//        return;
//    }

    node_src[index].position += force * factor * 0.01;
}

// 15
@compute
@workgroup_size(256)
fn randomize(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.node_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var vPos : vec3<f32> = node_src[index].position;

    vPos.x = random_xy(index, 0u + 3u * uniforms.frame_num) * 2.0 - 1.0;
    vPos.y = random_xy(index, 1u + 3u * uniforms.frame_num) * 2.0 - 1.0;
    vPos.z = random_xy(index, 2u + 3u * uniforms.frame_num) * 2.0 - 1.0;

    // Write back
    node_src[index].position = vPos;
    node_src[index].force = vec3<f32>(0.0);
    node_src[index].prev_force = vec3<f32>(0.0);
}

// 16
@compute
@workgroup_size(256)
fn copy(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let total = uniforms.node_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var vPos : vec3<f32> = node_src[index].position;

    node_copy_src[3u * index     ] = vPos.x;
    node_copy_src[3u * index + 1u] = vPos.y;
    node_copy_src[3u * index + 2u] = vPos.z;
}

// 17
@compute
@workgroup_size(256)
fn cal_depth(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {

    let total = uniforms.node_count;
    let index = global_invocation_id.x;
    if (index >= total) {
        return;
    }

    var vPos : vec3<f32> = node_src[index].position;

    var clip_pos = transform.projection * transform.view * vec4<f32>(vPos, 1.0);

    kvps[index].index = index;
    kvps[index].sort_key = clip_pos.z;

}

// 18
@compute
@workgroup_size(256)
fn sort_by_depth(@builtin(global_invocation_id) global_invocation_id: vec3<u32>) {
    let i = global_invocation_id.x;
    var j = i ^ kvps_param.block_count;

    if (kvps_param.block_count == kvps_param.dim >> 1u) {
        j = i ^ (kvps_param.block_count * 2u - 1u);
    }
    
    let total = uniforms.node_count;
    if (j < i || i >= total || j >= total) {
        return;
    }


    let index_i= kvps[i].index;
    let index_j = kvps[j].index;
    let key_i = kvps[index_i].sort_key;
    let key_j = kvps[index_j].sort_key;
    
    var diff = key_j - key_i;

    if (diff > 0.0) {
        kvps[i].index = index_j;
        kvps[j].index = index_i;
    }
}

================================================
FILE: src/assets/shaders/S_axis.wgsl
================================================
struct Input {
    @builtin(vertex_index) vertex_index: u32,
    @builtin(instance_index) instance_index: u32,
}

struct Varing {
    @builtin(position) position: vec4<f32>,
    @location(0) tex_coords: vec2<f32>,
    @location(1) color: vec3<f32>,
};

struct Transform {
    view: mat4x4<f32>,
    projection: mat4x4<f32>,
    time: vec4<f32>,
    screen: vec4<f32>,
    camera: vec4<f32>,
}

@group(0) @binding(0) var<uniform> transform: Transform;

@vertex
fn main_vs(
    @location(0) quad_pos: vec2<f32>,
    i: Input
) -> Varing {

    var v: Varing;

    var has_x = f32(i.instance_index);
    var has_z = 1.0 - f32(i.instance_index);

    var length = quad_pos.x * 10000000.0;

    v.position = vec4<f32>(vec3<f32>(length * has_x, 0.0, length * has_z), 1.0);
    v.position = transform.projection * transform.view * v.position;

    var dir = transform.projection * transform.view * vec4<f32>(0.01 * has_x, 0.0, 0.01 * has_z, 1.0);
    var center = transform.projection * transform.view * vec4<f32>(0.0, 0.0, 0.0, 1.0);

    var cast_position = center + (dir - center) / (dir.z - center.z) * (transform.camera.z * 0.001 - center.z);

    if v.position.w < transform.camera.z {
        v.position = cast_position;
    }

    var ratio = transform.camera.x;
    var dir_normal = normalize(vec2<f32>(dir.y / ratio / ratio, -dir.x));

    v.position = v.position / abs(v.position.w);
    v.position += vec4<f32>(dir_normal * quad_pos.y * (1.5 / transform.screen.y), 0.0, 0.0);

    v.tex_coords = quad_pos;

    // Yellow / Blue
    var colors = array<vec3<f32>, 2>(vec3<f32>(.98, .47, .08), vec3<f32>(.272, .866, .855));
    v.color = colors[i.instance_index];

    return v;
}

@fragment
fn main_fs(v: Varing) -> @location(0) vec4<f32> {

    var color = v.color;
    var x = v.position.z * 0.5 + 0.5;
    var lerp = (1.0 - pow(x, 10000.0)) * 1.2;
    color *= lerp;

    let alpha = 1.0;

    return vec4<f32>(color, alpha);
}


================================================
FILE: src/assets/shaders/S_bounding_box.wgsl
================================================
struct Input {
    @builtin(vertex_index) vertex_index: u32,
    @builtin(instance_index) instance_index: u32,
}

struct Varing {
    @builtin(position) position: vec4<f32>,
};

struct Transform {
    view: mat4x4<f32>,
    projection: mat4x4<f32>,
    time: vec4<f32>,
    screen: vec4<f32>,
    camera: vec4<f32>,
}

struct Bound {
    bound_min: vec3<f32>,
    bound_max: vec3<f32>,
}

@group(0) @binding(0) var<uniform> transform: Transform;

@group(1) @binding(0) var<storage, read> boundSrc : array<Bound>;

@vertex
fn main_vs(
    @location(0) bound_pos: vec3<f32>,
    i: Input
) -> Varing {
    var bound = boundSrc[0];

    var bound_center = (bound.bound_min + bound.bound_max) / 2.0;
    var bound_radius = (bound.bound_max - bound.bound_min) / 2.0;

    var v: Varing;
    v.position = vec4<f32>(bound_center + bound_pos * bound_radius, 1.0);
    v.position = transform.projection * transform.view * v.position;

    return v;
}

@fragment
fn main_fs(v: Varing) -> @location(0) vec4<f32> {

    var out_color = vec4<f32>(1.0, 1.0, 1.0, 1.0);

    return out_color;
}


================================================
FILE: src/assets/shaders/S_edge.wgsl
================================================


struct Input {
    @builtin(vertex_index) vertex_index: u32,
    @builtin(instance_index) instance_index: u32,
}

struct Varing {
    @location(0) tex_coords: vec2<f32>,
    @builtin(position) position: vec4<f32>,
};

struct Node {
    position: vec3<f32>,
    force: vec3<f32>,
    prev_force: vec3<f32>,
    mass: u32,
};

struct Transform {
    view: mat4x4<f32>,
    projection: mat4x4<f32>,
    time: vec4<f32>,
    screen: vec4<f32>,
    camera: vec4<f32>,
}

@group(0) @binding(0) var<uniform> transform: Transform;

@group(1) @binding(0) var<storage, read> node_src : array<Node>;
@group(1) @binding(1) var<storage, read> edge_src : array<vec2<u32>>;

fn vs_transform(
    node_pos_a: vec3<f32>,
    node_pos_b: vec3<f32>,
    node_pos: vec3<f32>,
    quad_pos: vec2<f32>
) -> vec4<f32> {
    let node_a = transform.projection * transform.view * vec4<f32>(node_pos_a, 1.0);
    let node_b = transform.projection * transform.view * vec4<f32>(node_pos_b, 1.0);
    var dir = node_a / node_a.w - node_b / node_b.w;
    dir.y = dir.y / transform.camera.x;
    let quad_dir = normalize(vec2<f32>(dir.y, -dir.x));

    var position = vec4<f32>(node_pos, 1.0);
    position = transform.view * position;
    position += vec4<f32>(quad_pos.y * quad_dir * 0.01 * 0.03, 0.0, 0.0);
    position = transform.projection * position;

    var quad_pos_ratio = quad_pos.y * quad_dir;
    quad_pos_ratio.x /= transform.camera.x;
    position += vec4<f32>(quad_pos_ratio * (0.5 / transform.screen.y) * position.w, 0.0, 0.0);
    return position;
}

@vertex
fn main_vs(
    @location(0) quad_pos: vec2<f32>,
    i: Input
) -> Varing {
    let edge = edge_src[i.instance_index];

    var v: Varing;

    v.position = vs_transform(
        node_src[edge[0]].position,
        node_src[edge[1]].position,
        node_src[edge[i.vertex_index % 2u]].position,
        quad_pos
    );

    v.tex_coords = vec2<f32>(0.0);

    return v;
}

@fragment
fn main_fs(v: Varing) -> @location(0) vec4<f32> {

    let out_color = vec4<f32>(1.0, 1.0, 1.0, 0.02);

    return out_color;
}



struct CastVaring {
    @builtin(position) position: vec4<f32>,
    @location(0) id: u32,
    @location(1) nodes: vec2<u32>,
};

@vertex
fn cast_vs(
    @location(0) quad_pos: vec2<f32>,
    i: Input
) -> CastVaring {
    let edge = edge_src[i.instance_index];

    var v: CastVaring;

    v.position = vs_transform(
        node_src[edge[0]].position,
        node_src[edge[1]].position,
        node_src[edge[i.vertex_index % 2u]].position,
        quad_pos
    );

    v.position /= abs(v.position.w);
    v.position.x = (v.position.x + 1.0) / 2.0 * transform.screen.x - transform.screen.z;
    v.position.y = (-v.position.y + 1.0) / 2.0 * transform.screen.y - transform.screen.w;

    v.id = i.instance_index;
    v.nodes = edge;

    return v;
}

@fragment
fn cast_fs(v: CastVaring) -> @location(0) vec4<u32> {

    var out_color = vec4<u32>(2u, v.id, v.nodes);

    return out_color;
}

================================================
FILE: src/assets/shaders/S_node.wgsl
================================================
struct Input {
    @builtin(vertex_index) vertex_index: u32,
    @builtin(instance_index) instance_index: u32,
}

struct Varing {
    @location(0) tex_coords: vec2<f32>,
    @builtin(position) position: vec4<f32>,
    @location(1) color: vec3<f32>,
};

struct Node {
    position: vec3<f32>,
    force: vec3<f32>,
    prev_force: vec3<f32>,
    mass: u32,
};

struct Transform {
    view: mat4x4<f32>,
    projection: mat4x4<f32>,
    time: vec4<f32>,
    screen: vec4<f32>,
    camera: vec4<f32>,
}

struct Kvp {
    sort_key: f32,
    index: u32,
}

@group(0) @binding(0) var<uniform> transform: Transform;

@group(1) @binding(0) var<storage, read> node_src : array<Node>;
@group(1) @binding(1) var<storage, read> kvps: array<Kvp>;

fn vs_transform(
    node_position: vec3<f32>,
    quad_pos: vec2<f32>
) -> vec4<f32> {
    var position = vec4<f32>(node_position, 1.0);

    position = transform.view * position;
    position += vec4<f32>(quad_pos * 0.0025, 0.0, 0.0);

    position = transform.projection * position;
    var quad_pos_ratio = quad_pos;
    quad_pos_ratio.x /= transform.camera.x;
    position += vec4<f32>(quad_pos_ratio * (1.5 / transform.screen.y) * position.w, 0.0, 0.0);
    return position;
}

@vertex
fn main_vs(
    @location(0) quad_pos: vec2<f32>,
    i: Input
) -> Varing {
    var node = node_src[kvps[i.instance_index].index];
    var kvp = kvps[i.instance_index];

    var v: Varing;
    v.position = vs_transform(node.position, quad_pos);
    v.tex_coords = quad_pos;
    v.color = mix(vec3<f32>(0.0, 1.0, 0.0), vec3<f32>(1.0, 0.0, 0.0), f32(i.instance_index) / f32(arrayLength(&node_src)));
    if (kvp.index == 0u) { v.color = vec3<f32>(1.0); }

    return v;
}

@fragment
fn main_fs(v: Varing) -> @location(0) vec4<f32> {

    let sdf = dot(v.tex_coords, v.tex_coords);
    let clip = step(sdf, 1.0);

    var out_color = vec4<f32>(v.color, 1.0);

    if clip < 0.5 {
        discard;
    }

    return out_color;
}




struct CastVaring {
    @location(0) tex_coords: vec2<f32>,
    @builtin(position) position: vec4<f32>,
    @location(1) id: u32,
};

@vertex
fn cast_vs(
    @location(0) quad_pos: vec2<f32>,
    i: Input
) -> CastVaring {
    var node = node_src[kvps[i.instance_index].index];
    var kvp = kvps[i.instance_index];

    var v: CastVaring;
    v.position = vs_transform(node.position, quad_pos);
    v.position /= v.position.w;
    v.position.x = (v.position.x + 1.0) / 2.0 * transform.screen.x - transform.screen.z;
    v.position.y = (-v.position.y + 1.0) / 2.0 * transform.screen.y - transform.screen.w;

    v.tex_coords = quad_pos;
    v.id = kvp.index;

    return v;
}

@fragment
fn cast_fs(v: CastVaring) -> @location(0) vec4<u32> {

    let sdf = dot(v.tex_coords, v.tex_coords);
    let clip = step(sdf, 1.0);

    var out_color = vec4<u32>(1u, v.id, 0u, 0u);

    if clip < 0.5 {
        discard;
    }

    return out_color;
}



================================================
FILE: src/bootstrap.rs
================================================
use eframe::AppCreator;

use crate::{MainApp, APP_VERSION, utils::file::get_resource_path};

pub struct Config {
    native_options: eframe::NativeOptions,
    app_creator: AppCreator,
    app_name: String,
}

pub struct ConfigBuilder {
    native_options: eframe::NativeOptions,
    app_creator: AppCreator,
    app_name: String,
}

impl Default for ConfigBuilder {
    fn default() -> Self {
        let native_options = eframe::NativeOptions {
            initial_window_size: Some(egui::Vec2::new(1200.0, 720.0)),
            min_window_size: Some(egui::Vec2::new(960.0, 640.0)),
            drag_and_drop_support: true,
            renderer: eframe::Renderer::Wgpu,
            follow_system_theme: false,
            default_theme: eframe::Theme::Dark,
            icon_data: Some(load_icon("app_bar_icon.ico")),
            // #[cfg(target_os = "macos")]
            // fullsize_content: true,
            ..Default::default()
        };

        Self {
            native_options,
            app_creator: Box::new(|cc| Box::new(MainApp::new(cc))),
            app_name: format!("GraphPU - Dev Demo - {}", APP_VERSION),
        }
    }
}

impl ConfigBuilder {
    pub fn native_options(mut self, native_options: eframe::NativeOptions) -> Self {
        self.native_options = native_options;
        self
    }

    pub fn app_creator(mut self, app_creator: AppCreator) -> Self {
        self.app_creator = app_creator;
        self
    }

    pub fn app_name(mut self, app_name: String) -> Self {
        self.app_name = app_name;
        self
    }

    pub fn build(self) -> Config {
        Config {
            native_options: self.native_options,
            app_creator: self.app_creator,
            app_name: self.app_name,
        }
    }
}

fn load_icon(path: &str) -> eframe::IconData {
    let path = get_resource_path(path);
    let (icon_rgba, icon_width, icon_height) = {
        let image = image::open(path).expect("Failed to open icon path").into_rgba8();
        let (width, height) = image.dimensions();
        let rgba = image.into_raw();
        (rgba, width, height)
    };

    eframe::IconData {
        rgba: icon_rgba,
        width: icon_width,
        height: icon_height,
    }
}

pub fn start_frame(config: Config) {
    eframe::run_native(
        &config.app_name,
        config.native_options,
        config.app_creator,
    );
}


================================================
FILE: src/components/detail_view.rs
================================================
use chrono::Utc;
use egui::{Sense, Ui};
use crate::constant::FONT_SIZE_BODY;
use crate::models::app_model::DockStage;

use crate::models::Models;
use crate::utils::message::messenger;

use super::AppView;

#[derive(Default)]
pub struct DetailView;

impl AppView for DetailView {
    fn show(&mut self, models: &mut Models, ui: &mut Ui, _frame: &mut eframe::Frame) {
        egui::TopBottomPanel::bottom("detail")
            .show_inside(ui, |ui| {

            ui.horizontal(|ui| {
                ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {
                    ui.label(
                        egui::RichText::new(
                            format!(
                                "Nodes: {}  |  Edges: {}",
                                models.data_model.status.node_count,
                                models.data_model.status.edge_count
                            )
                        ).weak()
                    );

                    ui.add_space(30.0);

                    ui.allocate_ui_with_layout(
                        ui.available_size(),
                        egui::Layout::left_to_right(egui::Align::Center),
                        |ui| {
                            show_message(models, ui, _frame, -1);
                        },
                    );

                });

            });
        });
    }
}

pub fn show_message(models: &mut Models, ui: &mut Ui, _frame: &mut eframe::Frame, max_time: i32) {
    let messages = messenger();
    if messages.len() > 0 {
        let message = &messages[messages.len() - 1];
        if max_time > 0 && Utc::now().timestamp() - message.time > max_time.into() { return; };
        let message = message.to_string();

        let (rect, response) = if max_time > 0 {

            let rect = ui.available_rect_before_wrap();
            (rect, None)
        } else {

            let (rect, response) = ui.allocate_exact_size(ui.available_size(), Sense::click());
            (rect, Some(response))
        };

        ui.allocate_ui_at_rect(rect, |ui| {
            ui.vertical(|ui| {
                ui.add_space(3.0);

                let mut job = egui::text::LayoutJob::single_section(message.to_owned(), egui::TextFormat {
                    font_id: egui::FontId::new(FONT_SIZE_BODY, Default::default()),
                    color: egui::Color32::from_gray(120),
                    ..Default::default()
                });
                job.wrap = egui::epaint::text::TextWrapping {
                    max_rows: 1,
                    break_anywhere: true,
                    overflow_character: Some('…'),
                    ..Default::default()
                };
                ui.label(job);
            });
            // ui.label(egui::RichText::new(format!("{}", messages[0])).weak())
        });

        if let Some(response) = response {
            response.clicked().then(||{ models.app_model.dock_stage = DockStage::Messages });
        }

    }
}

================================================
FILE: src/components/dock_view.rs
================================================
use std::borrow::BorrowMut;
use egui::{Ui, Vec2};
use crate::constant::FONT_SIZE_BODY;
use crate::models::app_model::DockStage;

use crate::models::Models;
use crate::utils::message::messenger;
use crate::widgets::frames::dock_frame;

use super::AppView;

#[derive(Default)]
pub struct DockView;

impl AppView for DockView {
    fn show(&mut self, models: &mut Models, ui: &mut Ui, _frame: &mut eframe::Frame) {
        egui::TopBottomPanel::bottom("dock")
            .frame(dock_frame(ui.style()))
            .default_height(0.0)
            .show_inside(ui, |ui| {
                ui.with_layout(egui::Layout::from_main_dir_and_cross_align(egui::Direction::LeftToRight, egui::Align::Center), |ui| {

                    ui.set_style(models.app_model.dock_style.clone());
                    ui.spacing_mut().item_spacing = Vec2::ZERO;
                    ui.style_mut().text_styles.get_mut(&egui::TextStyle::Button).unwrap().size = FONT_SIZE_BODY;

                    dock_button(ui, models, DockStage::Messages, format!("🕫 Messages({})", messenger().len()));
                    dock_button(ui, models, DockStage::Timeline, "🕙 Timeline");
                    dock_button(ui, models, DockStage::Kernel, "✱ Kernels");


                    ui.allocate_ui_with_layout(
                        ui.available_size(),
                        egui::Layout::right_to_left(egui::Align::Center),
                        |ui| {

                            toggle_button(ui, &mut models.graphics_model.graphics_resources.render_options.is_showing_debug, "ℹ State");


                        },
                    );

            });
        });
    }
}

fn dock_button(ui: &mut egui::Ui, models: &mut Models, current: DockStage, text: impl Into<egui::WidgetText>) {
    let checked = models.app_model.dock_stage == current;
    if ui.selectable_label(checked, text).clicked() {
        if checked {
            models.app_model.dock_stage = DockStage::None;
        } else {
            models.app_model.dock_stage = current;
        }
    }
}

fn toggle_button(ui: &mut egui::Ui, selected: &mut bool, text: impl Into<egui::WidgetText>) -> egui::Response {

    ui.toggle_value(selected.borrow_mut(), text)
}

================================================
FILE: src/components/drawer_view.rs
================================================
use egui::{Response, Ui, Vec2};
use crate::components::drawers::{KernelView, MessageView};
use crate::constant::FONT_SIZE_TITLE;
use crate::models::app_model::DockStage;

use crate::models::Models;
use crate::widgets::frames::{drawer_frame, drawer_title_frame};

use super::AppView;

#[derive(Default)]
pub struct DrawerView {
    kernel_view: KernelView,
}

impl AppView for DrawerView {
    fn show(&mut self, models: &mut Models, ui: &mut Ui, frame: &mut eframe::Frame) {
        egui::TopBottomPanel::bottom("drawer")
            .resizable(true)
            .default_height(220.0)
            .height_range(100.0..=350.0)
            .frame(drawer_frame(ui.style()))
            .show_inside(ui, |ui| {

                drawer_title_frame(ui.style()).show(ui, |ui| {

                    ui.horizontal(|ui| {
                        ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {

                            let (egui_id, rect) = ui.allocate_space(Vec2::splat(15.0));
                            if close_button(ui, egui_id, rect).clicked() {
                                models.app_model.dock_stage = DockStage::None;
                            };


                            ui.allocate_ui_with_layout(
                                ui.available_size(),
                                egui::Layout::left_to_right(egui::Align::Center),
                                |ui| {

                                    let title = match models.app_model.dock_stage {
                                        DockStage::None => "None",
                                        DockStage::Messages => "Messages",
                                        DockStage::Timeline => "Timeline",
                                        DockStage::Kernel => "Kernels",
                                    };

                                    ui.style_mut().text_styles.get_mut(&egui::TextStyle::Body).unwrap().size = FONT_SIZE_TITLE;
                                    ui.label(egui::RichText::new(format!("{}", title)).strong());

                                },
                            );

                        });

                    });

                });


                ui.add( egui::Separator::default().spacing(0.0) );

                match models.app_model.dock_stage {
                    DockStage::Messages => {
                        MessageView::default().show(models, ui, frame);
                    },
                    DockStage::Kernel => {
                        self.kernel_view.show(models, ui, frame);
                    },
                    _ => {
                        ui.centered_and_justified(|ui| {
                            ui.set_min_height(100.0);
                            ui.label(egui::RichText::new("Drawer View").weak());
                        });
                    }
                }

        });
    }
}


fn close_button(ui: &mut Ui, id: egui::Id, rect: egui::Rect) -> Response {
    let response = ui.interact(rect, id, egui::Sense::click());
    ui.expand_to_include_rect(response.rect);

    let visuals = ui.style().interact(&response);
    let rect = rect.shrink(2.0).expand(visuals.expansion);
    let stroke = visuals.fg_stroke;
    ui.painter() // paints \
        .line_segment([rect.left_top(), rect.right_bottom()], stroke);
    ui.painter() // paints /
        .line_segment([rect.right_top(), rect.left_bottom()], stroke);
    response
}


================================================
FILE: src/components/drawers/kernel_view.rs
================================================

use egui::{Color32, Ui};
use crate::components::AppView;
use crate::constant::FONT_SIZE_BODY;
use crate::models::graphics_model::KERNEL_NAMES;

use crate::models::Models;
use crate::widgets::frames::{drawer_kernel_content_frame};


#[derive(Default)]
pub struct KernelView {
    pub selected_kernel: usize,
}

fn get_kernel_status_desc(code: i32) -> &'static str {
    match code {
        -1  => "Uninitialized",
        0   => "Running",
        _   => ""
    }
}

impl AppView for KernelView {
    fn show(&mut self, _models: &mut Models, ui: &mut Ui, _frame: &mut eframe::Frame) {
        drawer_kernel_content_frame(ui.style()).show(ui, |ui| {

            ui.set_style(ui.ctx().style());
            ui.spacing_mut().item_spacing = egui::vec2(4.0, 4.0);

            ui.horizontal_wrapped(|ui| {
                if let Some(graph_resources) = &mut _models.graphics_model.graphics_resources.graph_resources {

                    for (index, &name) in KERNEL_NAMES.iter().enumerate() {
                        kernel_label(ui, &mut self.selected_kernel ,index, name, graph_resources.kernel_status_codes[index]);
                    }
                }
            });

            ui.separator();

            egui::ScrollArea::vertical()
                // .always_show_scroll(true)
                .auto_shrink([false; 2])
                .id_source("kernel")
                .show(ui, |ui| {

                    let mut code = 0;

                    if let Some(graph_resources) = &mut _models.graphics_model.graphics_resources.graph_resources {
                        code = graph_resources.kernel_status_codes[self.selected_kernel];
                    }

                    inspector_grid("kernel_grid")
                        .show(ui, |ui| {
                            grid_label(ui, "Kernel ID");
                            grid_content(ui, format!("{}", self.selected_kernel).as_str());

                            ui.end_row();

                            grid_label(ui, "Kernel name");
                            grid_content(ui, KERNEL_NAMES[self.selected_kernel]);

                            ui.end_row();

                            grid_label(ui, "Kernel status code");
                            grid_content(ui, format!("{}", code).as_str());

                            ui.end_row();

                            grid_label(ui, "Status code description");
                            grid_content(ui, get_kernel_status_desc(code));
                        });

                });

            // ui.centered_and_justified(|ui| {
            //     ui.set_min_height(100.0);
            //     ui.label(egui::RichText::new("Error 503"));
            // });

        });
    }
}

fn inspector_grid(id: &str) -> egui::Grid {
    egui::Grid::new(id)
        .num_columns(2)
        .spacing([10.0, 4.0])
        .min_col_width(65.)
        .min_row_height(10.)
}

fn kernel_label(ui: &mut egui::Ui, selected_kernel: &mut usize, kernel_index: usize, kernel_name: &str, kernel_code: i32) {

    let size = egui::Vec2::new(150., 18.);
    let (rect, _response) = ui.allocate_exact_size(size, egui::Sense::hover());
    ui.allocate_ui_at_rect(rect, |ui| {
        ui.set_min_width(150.);

        let mut job = egui::text::LayoutJob::single_section("✱ ".parse().unwrap(), egui::TextFormat {
            font_id: egui::FontId::new(FONT_SIZE_BODY, Default::default()),
            color: match kernel_code {
                x if x < 0 => Color32::from_rgb(255, 255, 0),
                0 => Color32::from_rgb(0, 255, 0),
                x if x > 0 => Color32::from_rgb(255, 0, 0),
                _ => Color32::from_rgb(255, 0, 0)

            },
            valign: egui::Align::Center,
            ..Default::default()
        });
        job.append(&*format!("[{}] {} ", kernel_index, kernel_name), 0.0, egui::TextFormat {
            font_id: egui::FontId::new(FONT_SIZE_BODY, Default::default()),
            color: egui::Color32::from_gray(220),
            valign: egui::Align::Center,
            ..Default::default()
        });
        ui.selectable_value(selected_kernel, kernel_index, job);

    });
    // ui.painter()
    //     .circle_filled(rect.center(), r, ui.visuals().text_color());

}

fn grid_label(ui: &mut egui::Ui, title: &str) {
    let label = format!("{}: ", title);
    ui.set_width(250.);
    ui.add(
        egui::Label::new(egui::RichText::new(label))
    );
}

fn grid_content(ui: &mut egui::Ui, title: &str) {
    let label = format!("{}", title);
    ui.add(
        egui::Label::new(egui::RichText::new(label)).wrap(true)
    );
}

================================================
FILE: src/components/drawers/message_view.rs
================================================
use egui::{Color32, epaint, Ui, Vec2};
use crate::components::AppView;
use crate::constant::FONT_SIZE_BODY;

use crate::models::Models;
use crate::utils::message::{MessageLevel, messenger};
use crate::widgets::frames::{drawer_message_content_frame};


#[derive(Default)]
pub struct MessageView;

impl AppView for MessageView {
    fn show(&mut self, _models: &mut Models, ui: &mut Ui, _frame: &mut eframe::Frame) {
        drawer_message_content_frame(ui.style()).show(ui, |ui| {

            let messages = messenger();
            let row_height = 52.0;
            let num_rows = messages.len();


            ui.spacing_mut().interact_size = Vec2::new(4.0, 4.0);

            egui::ScrollArea::vertical().stick_to_bottom(true).auto_shrink([false; 2]).show_rows(
                ui,
                row_height,
                num_rows,
                |ui, row_range| {
                    for row in row_range {
                        let message = &messages[row];
                        let title_text = egui::RichText::new(&message.title);
                        let time_text = egui::RichText::new(message.display_time()).weak();
                        let content_text = &message.content;
                        ui.vertical(|ui| {

                            ui.set_height(row_height);

                            if row != 0 {
                                ui.add( egui::Separator::default().spacing(0.0) );
                            }

                            ui.with_layout(egui::Layout::from_main_dir_and_cross_align(egui::Direction::LeftToRight, egui::Align::Min), |ui| {

                                message_icon(ui, &message.level);

                                ui.vertical(|ui| {

                                    ui.add_space(5.5);

                                    ui.horizontal(|ui| {
                                        ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {
                                            ui.add_space(6.0);
                                            ui.label(time_text);
                                            ui.allocate_ui_with_layout(ui.available_size(), egui::Layout::left_to_right(egui::Align::Center), |ui| {
                                                ui.label(title_text);
                                            });
                                        })
                                    });

                                    let mut job = egui::text::LayoutJob::single_section(content_text.to_owned(), egui::TextFormat {
                                        font_id: egui::FontId::new(FONT_SIZE_BODY, Default::default()),
                                        color: egui::Color32::from_gray(120),
                                        ..Default::default()
                                    });
                                    job.wrap = epaint::text::TextWrapping {
                                        max_rows: 2,
                                        break_anywhere: false,
                                        overflow_character: Some('…'),
                                        ..Default::default()
                                    };
                                    ui.label(job);
                                    // ui.label(content_text);
                                });
                            });
                        });
                    }
                },
            );
        });
    }
}

fn message_icon(ui: &mut egui::Ui, icon_type: &MessageLevel) {
    let (label, color) = match icon_type {
        MessageLevel::Info => ("ℹ", Color32::GRAY),
        MessageLevel::Warning => ("⚠", Color32::YELLOW),
        MessageLevel::Error => ("！", Color32::RED),
    };
    let job = egui::text::LayoutJob::single_section(label.to_owned(), egui::TextFormat {
        font_id: egui::FontId::new(24.0, Default::default()),
        color: color,
        ..Default::default()
    });
    ui.vertical(|ui| {
        ui.set_width(30.);
        ui.add_space(5.0);
        ui.add(
            egui::Label::new(job)
        )
    });
}

================================================
FILE: src/components/drawers/mod.rs
================================================
mod message_view;
mod kernel_view;

pub use {
    message_view::MessageView,
    kernel_view::KernelView
};

================================================
FILE: src/components/export_modal_view.rs
================================================
use std::{fs::File, io::Write};
use std::default::Default;

use egui::{Context, Widget};
use rayon::prelude::*;

use crate::{
    models::Models,
    utils::file::{path_to_string, pick_folder},
    widgets::{
        frames::{inner_panel_frame, DEFAULT_BUTTON_PADDING},
        modal::Modal,
    },
};
use crate::constant::ACCENT_COLOR;
use crate::utils::message::message_info;

pub struct ExportModal {
    directory_path: String,
    file_name: String,
    is_cast_to_float: bool,
}

const DEFAULT_FILE_NAME: &'static str = "graph";

impl Default for ExportModal {
    fn default() -> Self {
        Self {
            directory_path: "".to_string(),
            file_name: "".to_string(),
            is_cast_to_float: false,
        }
    }
}

impl ExportModal {
    pub fn show(&mut self, ctx: &Context, models: &mut Models) {
        Modal::new(String::from("export_modal_view")).show(ctx, |ui| {
            ui.set_width(400.0);
            ui.set_height(250.0);

            egui::CentralPanel::default()
                .frame(inner_panel_frame(ui.style()))
                .show_inside(ui, |ui| {

                    ui.set_style(ui.ctx().style());
                    ui.spacing_mut().item_spacing = egui::vec2(8.0, 8.0);

                    ui.heading("Export Data");

                    ui.horizontal(|ui| {
                        ui.selectable_value(&mut 0, 0, "PCACHE");
                        ui.selectable_value(&mut 0, 1, "CSV");
                    });

                    ui.separator();

                    egui::Grid::new("my_grid")
                        .num_columns(2)
                        .spacing([20.0, 8.0])
                        .show(ui, |ui| {
                            ui.add(egui::Label::new("Directory"));
                            ui.horizontal(|ui| {
                                ui.with_layout(
                                    egui::Layout::right_to_left(egui::Align::Center),
                                    |ui| {
                                        ui.spacing_mut().button_padding = DEFAULT_BUTTON_PADDING;

                                        if ui.button("•••").clicked() {
                                            self.directory_path = path_to_string(&pick_folder())
                                                .unwrap_or(self.directory_path.clone());
                                        }

                                        ui.vertical_centered_justified(|ui| {
                                            ui.add(
                                                egui::TextEdit::singleline(
                                                    &mut self.directory_path,
                                                )
                                                .hint_text("")
                                                .desired_width(200.),
                                            );
                                        });
                                    },
                                );
                            });

                            ui.end_row();

                            ui.add(egui::Label::new("File name"));
                            ui.horizontal(|ui| {

                                let text = ui.add(
                                    egui::TextEdit::singleline(
                                        &mut self.file_name,
                                    )
                                        .hint_text("graph")
                                        .desired_width(150.)
                                );
                                let file_name = if self.file_name.len() != 0 { &self.file_name } else { DEFAULT_FILE_NAME };
                                text.on_hover_text(egui::RichText::new(format!("{0}_node.pcache \n{0}_edge.pcache", file_name)).weak());
                            });

                            ui.end_row();

                            ui.add(egui::Label::new(""));
                            ui.checkbox(&mut self.is_cast_to_float, "Cast uint to float")
                                .on_hover_text("For Unity VFX Graph");


                        })
                });

            egui::TopBottomPanel::bottom("v")
                .frame(inner_panel_frame(ui.style()))
                .show_inside(ui, |ui| {
                    ui.set_style(ui.ctx().style());
                    ui.spacing_mut().item_spacing = egui::vec2(8.0, 8.0);
                    ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {
                        ui.add_enabled_ui(self.directory_path.len() != 0, |ui| {
                            if egui::Button::new("   Done   ").fill(ACCENT_COLOR).ui(ui).clicked() {
                                self.on_click_done(models).expect("TODO: panic message");
                                models.app_model.is_export_visible = false;
                            }
                        });
                        if ui.button("   Cancel   ").clicked() {
                            models.app_model.is_export_visible = false;
                        }
                    });
                })
        });
    }

    fn on_click_done(&mut self, models: &mut Models) -> std::io::Result<()> {
        let file_name = if self.file_name.len() != 0 { &self.file_name } else { DEFAULT_FILE_NAME };
        let path_prefix = self.directory_path.clone() + "/" + file_name;
        let node_path = path_prefix.clone() + "_node.pcache";
        let edge_path = path_prefix + "_edge.pcache";

        let graphics_resource = &mut models.graphics_model.graphics_resources;
        graphics_resource.debug();
        if let Some(graph_resources) = &graphics_resource.graph_resources {

            let mut file = File::create(&node_path)?;
            file.write_all(b"pcache\n")?;
            file.write_all(b"comment Node PCACHE file Exported from GraphPU\n")?;
            file.write_all(b"format binary 1.0\n")?;
            file.write_fmt(format_args!("elements {}\n", graph_resources.status.node_count))?;

            file.write_fmt(format_args!("property {} {}\n", "float", "position.x"))?;
            file.write_fmt(format_args!("property {} {}\n", "float", "position.y"))?;
            file.write_fmt(format_args!("property {} {}\n", "float", "position.z"))?;

            file.write_all(b"end_header\n")?;
            file.write_all(bytemuck::cast_slice(graph_resources.buffer_bytes.as_ref().unwrap()))?;
        }


        if let Some(source_target_list) = &models.data_model.source_target_list {

            let result: Vec<u8> = if self.is_cast_to_float {
                let par_iter = source_target_list.par_iter().map(|x| *x as f32);
                let doubles: Vec<f32> = par_iter.collect();
                bytemuck::cast_slice(&doubles).to_vec()
            } else {
                bytemuck::cast_slice(&source_target_list).to_vec()
            };

            let mut file = File::create(&edge_path)?;
            file.write_all(b"pcache\n")?;
            file.write_all(b"comment Edge PCACHE file Exported from GraphPU\n")?;
            file.write_all(b"format binary 1.0\n")?;
            file.write_fmt(format_args!("elements {}\n", models.data_model.status.edge_count))?;

            let type_string = if self.is_cast_to_float { "float" } else { "uint" };
            file.write_fmt(format_args!("property {} {}\n", type_string, "source"))?;
            file.write_fmt(format_args!("property {} {}\n", type_string, "target"))?;

            file.write_all(b"end_header\n")?;
            file.write_all(bytemuck::cast_slice(&result))?;
        }

        let text = format!(
            "Node file: {}  \nEdge file: {}",
            node_path,
            edge_path
        );
        message_info("Export PCACHE Data Succeeded", text.as_str());
        Ok(())
    }
}


================================================
FILE: src/components/graphics_view.rs
================================================
use std::borrow::BorrowMut;
use std::ops::Mul;
use egui::{InnerResponse, PointerButton, Response, Ui, Vec2, Widget, WidgetText};
use crate::models::app_model::Tool;
use crate::models::graphics_model::{CastType, GraphicsResources};

use crate::models::Models;
use crate::widgets::frames::{button_group_style, DEFAULT_BUTTON_PADDING, graphics_frame, graphics_hover_frame, TOOL_BUTTON_PADDING, tool_item_group_style, toolbar_inner_frame, toolbar_inner_frame_bottom, toolbar_inner_frame_top};

use super::AppView;

#[derive(Default)]
pub struct GraphicsView;

impl AppView for GraphicsView {
    fn show(&mut self, models: &mut Models, ui: &mut Ui, _frame: &mut eframe::Frame) {

        if let Some(graph_resources) = &mut models.graphics_model.graphics_resources.graph_resources {

            if graph_resources.is_kernel_error {
                models.graphics_model.set_computing(false);
            }
        }

        // 获取是否持续计算、下一帧是否 Dispatch
        let is_computing = models.graphics_model.is_computing;
        let is_dispatching = models.graphics_model.is_dispatching;

        // 无论当前帧是否 Dispatch，下一帧都停止 Dispatch
        models.graphics_model.set_dispatching(false);
    
        egui::CentralPanel::default()
            .frame(graphics_frame(ui.style(), true))
            .show_inside(ui, |ui| {

                let max_rect = ui.max_rect();

                // 新建一个空 Frame，用于存放 Image

                ui.allocate_ui_at_rect(max_rect, |ui| {

                    graphics_frame(ui.style(), models.app_model.is_fullscreen_graphics)
                        .show(ui, |ui| {

                            // 如果 Compute Model 已经初始化，即数据导入完成，可以开始渲染
                            // 则获取 Compute Resource
                            let compute_resources = &mut models.graphics_model.graphics_resources;

                            // let graph_resources = compute_resources.graph_resources.as_mut().unwrap();

                                // if graph_resources.is_kernel_error { }

                                // 如果正在持续计算，则计算一次
                                if is_computing {
                                    compute_resources.compute();
                                }

                                // 如果当前帧需要 Dispatch，则 Dispatch 一次
                                if is_dispatching {
                                    compute_resources.randomize();
                                }

                                // 更新 Viewport，用于处理窗口 resize
                                // update_viewport 方法会判断传入的 Viewport 大小和之前的是否一致
                                // 若发生变化，则更新材质视图，注册 egui 材质 ID，并返回 true
                                // 若无变化，不更新材质视图，返回 false
                                // 其中，pixels_per_point 代表当前每点像素密度

                                compute_resources.update_viewport(
                                    max_rect.size().mul(Vec2::from([models.app_model.pixels_per_point; 2]))
                                );

                                compute_resources.update_control(ui, models.graphics_model.is_hover_graphics_view, models.app_model.pixels_per_point);
                                if compute_resources.control.pointer_pos.is_some() {
                                    if ui.input().pointer.button_double_clicked(PointerButton::Primary) {
                                        if !models.app_model.is_fullscreen_graphics {
                                            models.app_model.is_fullscreen_graphics = true;
                                            _frame.set_fullscreen(true);
                                        } else {
                                            models.app_model.is_fullscreen_graphics = false;
                                            if !models.app_model.is_fullscreen {
                                                _frame.set_fullscreen(false);
                                            }
                                        }
                                    }
                                }

                                // 若有任何变化，渲染并请求 egui UI 更新
                                if is_computing || is_dispatching || compute_resources.need_update {
                                    compute_resources.render();
                                    compute_resources.need_update = false;
                                    ui.ctx().request_repaint();
                                }

                                if models.app_model.current_tool == Tool::Select && compute_resources.control.is_pointer_update {
                                    compute_resources.render_cast();
                                    compute_resources.control.is_pointer_update = false;
                                }

                                // 获取已经注册的 wgpu 材质的 egui 材质 ID
                                let texture_id = compute_resources.viewport_texture_id;

                                // 通过材质 ID 绘制 Image
                                // ui.image(texture_id, max_rect.size());

                                ui.allocate_ui_at_rect(max_rect, |ui| {
                                    let response = egui::Image::new(texture_id, max_rect.size())
                                        .sense(egui::Sense::click_and_drag()).ui(ui);

                                    models.graphics_model.is_hover_graphics_view = response.hovered();
                                });




                        });
                });

                let compute_resources = &mut models.graphics_model.graphics_resources;

                if models.app_model.current_tool == Tool::Select && models.graphics_model.is_hover_graphics_view {
                    if let Some(cast_type) = &compute_resources.cast_type {

                        let pos = if let Some(pos) = ui.input().pointer.interact_pos() { pos + egui::Vec2::new(0.0, 20.0) } else { egui::Pos2::ZERO };
                        ui.allocate_ui_at_rect(egui::Rect::from_min_size(pos, egui::Vec2::new(200.0, 200.0)), |ui| {
                            graphics_hover_frame(ui.style())
                                .show(ui, |ui| {
                                    ui.horizontal(|ui| {
                                        ui.label(
                                            match cast_type {
                                                CastType::Node => "Node ",
                                                CastType::Edge => "Edge "
                                            }
                                        );
                                        ui.label(egui::RichText::new(format!("{}", compute_resources.cast_value)).weak());
                                    });
                                });
                        });
                    }
                };


                if models.app_model.is_fullscreen_graphics { return; }

                ui.allocate_ui_at_rect(max_rect, |ui| {

                    egui::SidePanel::left("toolbar-left-11")
                        .frame(toolbar_inner_frame(ui.style()))
                        .show_separator_line(false)
                        .width_range(0.0..=0.0)
                        .resizable(false)
                        .show_inside(ui, |ui| {
                            ui.set_style(ui.ctx().style());
                            ui.spacing_mut().item_spacing = egui::vec2(4.0, 4.0);
                            ui.spacing_mut().button_padding = TOOL_BUTTON_PADDING;

                            tool_item_group_style(ui.style()).show(ui, |ui| {
                                ui.vertical(|ui| {

                                    ui.spacing_mut().item_spacing = egui::vec2(0.0, 2.0);

                                    tool_item_box(ui, |ui| {
                                        let button = ui.selectable_label(
                                            models.app_model.current_tool == Tool::Select,
                                            egui::RichText::new("☉").size(24.0)
                                        ).on_hover_text("Select");
                                        if button.clicked() {
                                            models.app_model.current_tool = Tool::Select;
                                        }
                                    });

                                    tool_item_box(ui, |ui| {
                                        let button = ui.selectable_label(
                                            models.app_model.current_tool == Tool::Handle,
                                            egui::RichText::new("🕂").size(24.0)
                                        ).on_hover_text("Handle");
                                        if button.clicked() {
                                            models.app_model.current_tool = Tool::Handle;
                                        }
                                    });

                                    tool_item_box(ui, |ui| {
                                        let button = ui.selectable_label(
                                            models.app_model.current_tool == Tool::View,
                                            egui::RichText::new("🎥").size(24.0)
                                        ).on_hover_text("View");
                                        if button.clicked() {
                                            models.app_model.current_tool = Tool::View;
                                        }
                                    });

                                });
                            });


                        });

                    egui::TopBottomPanel::top("toolbar-top")
                        .frame(toolbar_inner_frame_top(ui.style()))
                        .show_separator_line(false)
                        .show_inside(ui, |ui| {
                            ui.set_style(ui.ctx().style());
                            ui.spacing_mut().item_spacing = egui::vec2(4.0, 4.0);
                            ui.spacing_mut().button_padding = DEFAULT_BUTTON_PADDING;

                            ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {
                                ui.horizontal(|ui| {
                                    let graphics_resources = &mut models.graphics_model.graphics_resources;

                                    let fullscreen_btn = ui.button("🗖");
                                    // let fullscreen = _frame.info().window_info.fullscreen;

                                    fullscreen_btn.clicked().then(|| {
                                        models.app_model.is_fullscreen_graphics = true;
                                        _frame.set_fullscreen(true);
                                    });


                                    toggle_button(ui, &mut graphics_resources.render_options.is_rendering_bounding_box, "⛶")
                                        .on_hover_text("Toggle Bounding Box")
                                        .clicked().then(|| { need_update(ui, graphics_resources) });

                                    toggle_button(ui, &mut graphics_resources.render_options.is_rendering_axis, "×")
                                        .on_hover_text("Toggle Axes")
                                        .clicked().then(|| { need_update(ui, graphics_resources) });

                                    toggle_button(ui, &mut graphics_resources.render_options.is_rendering_edge, "➖")
                                        .on_hover_text("Toggle Edges")
                                        .clicked().then(|| { need_update(ui, graphics_resources) });

                                    toggle_button(ui, &mut graphics_resources.render_options.is_rendering_node, "⚫")
                                        .on_hover_text("Toggle Nodes")
                                        .clicked().then(|| { need_update(ui, graphics_resources) });


                                });
                            });

                        });

                    let graphics_resources = &mut models.graphics_model.graphics_resources;
                    if !graphics_resources.render_options.is_showing_debug {
                        ui.set_visible(false);
                    }

                    egui::TopBottomPanel::bottom("toolbar-top-2")
                        .frame(toolbar_inner_frame_bottom(ui.style()))
                        .show_separator_line(false)
                        .show_inside(ui, |ui| {
                            ui.set_style(ui.ctx().style());
                            ui.spacing_mut().item_spacing = egui::vec2(4.0, 0.0);
                            ui.spacing_mut().button_padding = DEFAULT_BUTTON_PADDING;
                            ui.spacing_mut().interact_size = Vec2::new(4.0, 4.0);

                            ui.with_layout(egui::Layout::from_main_dir_and_cross_align(egui::Direction::TopDown, egui::Align::Max), |ui| {

                                ui.horizontal(|ui| {
                                    ui.label(format!("{:.1}", graphics_resources.frames_per_second));
                                    ui.label(egui::RichText::new("FPS: ").weak());
                                });

                                ui.horizontal(|ui| {
                                    ui.label(format!("{:06}", graphics_resources.compute_frame_count));
                                    ui.label(egui::RichText::new("Compute frames: ").weak());
                                });

                                ui.horizontal(|ui| {
                                    ui.label(format!("{:06}", graphics_resources.render_frame_count));
                                    ui.label(egui::RichText::new("Render frames: ").weak());
                                });

                                ui.horizontal(|ui| {
                                    ui.label(format!("{:06}", models.app_model.ui_frame_count));
                                    ui.label(egui::RichText::new("UI frames: ").weak());
                                });

                            });

                        });




                });


            });




    }
}


fn toggle_button(ui: &mut egui::Ui, selected: &mut bool, text: impl Into<WidgetText>) -> Response {
    button_group_style(ui.style()).show(ui, |ui| {
        ui.toggle_value(selected.borrow_mut(), text)
            // .clicked().then(||{ graphics_resources.need_update = true; ui.ctx().request_repaint(); });
    }).inner
}

fn need_update(ui: &mut egui::Ui, graphics_resources: &mut GraphicsResources) {
    graphics_resources.need_update = true;
    ui.ctx().request_repaint()
}

fn tool_item_box<R>(
    ui: &mut egui::Ui,
    add_contents: impl FnOnce(&mut Ui) -> R,
) -> InnerResponse<R> {

    ui.allocate_ui(Vec2::splat(40.0), |ui| {
        button_group_style(ui.style()).show(ui, |ui| {
            ui.centered_and_justified(|ui| {
                add_contents(ui)
            }).inner
        }).inner
    })

}

================================================
FILE: src/components/import_modal_view/config_page.rs
================================================
use egui::Ui;

use crate::models::Models;

use super::ImportModal;

pub fn show(parent: &mut ImportModal, models: &mut Models, ui: &mut Ui) {

    ui.set_style(ui.ctx().style());
    ui.spacing_mut().item_spacing = egui::vec2(8.0, 8.0);

    ui.heading("Configuration");

    ui.separator();

    egui::Grid::new("my_grid")
        .num_columns(2)
        .spacing([20.0, 8.0])
        .show(ui, |ui| {
            ui.add(egui::Label::new("Edge Source*"));
            ui.horizontal(|ui| {
                egui::ComboBox::from_id_source("Edge Source")
                    .selected_text(&models.data_model.edge_data.headers_index_str[parent.edge_source])
                    .show_ui(ui, |ui| {
                        for (i, s) in models.data_model.edge_data.headers_index_str.iter().enumerate() {
                            ui.selectable_value(&mut parent.edge_source, i, s);
                        }
                    });
            });

            ui.end_row();

            ui.add(egui::Label::new("Edge Target*"));
            ui.horizontal(|ui| {
                egui::ComboBox::from_id_source("Edge Target")
                    .selected_text(&models.data_model.edge_data.headers_index_str[parent.edge_target])
                    .show_ui(ui, |ui| {
                        for (i, s) in models.data_model.edge_data.headers_index_str.iter().enumerate() {
                            ui.selectable_value(&mut parent.edge_target, i, s);
                        }
                    });
            });

            ui.end_row();
        });
}


================================================
FILE: src/components/import_modal_view/file_picker_page.rs
================================================
use egui::Ui;

use crate::models::{Models};
use crate::utils::file::{path_to_string, pick_csv};
use crate::widgets::frames::DEFAULT_BUTTON_PADDING;

use super::ImportModal;

pub fn show(parent: &mut ImportModal, _: &mut Models, ui: &mut Ui) {

    ui.set_style(ui.ctx().style());
    ui.spacing_mut().item_spacing = egui::vec2(8.0, 8.0);

    ui.heading("Import Data");

    ui.horizontal(|ui| {
        ui.selectable_value(&mut 0, 0, "CSV");
        ui.selectable_value(&mut 0, 1, "GraphML");
        ui.selectable_value(&mut 0, 2, "DOT");
    });

    ui.separator();

    egui::Grid::new("my_grid")
        .num_columns(2)
        .spacing([20.0, 8.0])
        .show(ui, |ui| {
            ui.add(egui::Label::new("Node File"));
            ui.horizontal(|ui| {
                ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {

                    ui.spacing_mut().button_padding = DEFAULT_BUTTON_PADDING;

                    if ui.button("•••").clicked() {
                        parent.node_file_path = path_to_string(&pick_csv()).unwrap_or(parent.node_file_path.clone());
                    }

                    ui.vertical_centered_justified(|ui| {
                        ui.add(
                            egui::TextEdit::singleline(&mut parent.node_file_path)
                            .hint_text("")
                            .desired_width(200.)
                        );
                    });
                });
            });

            ui.end_row();

            ui.add(egui::Label::new("Edge File*"));
            ui.horizontal(|ui| {
                ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {

                    ui.spacing_mut().button_padding = DEFAULT_BUTTON_PADDING;

                    if ui.button("•••").clicked() {
                        parent.edge_file_path = path_to_string(&pick_csv()).unwrap_or(parent.edge_file_path.clone());
                    }

                    ui.vertical_centered_justified(|ui| {
                        ui.add(egui::TextEdit::singleline(&mut parent.edge_file_path)
                            .hint_text("")
                            .desired_width(200.),
                        );
                    });
                });
            });

            ui.end_row();
        });
}


================================================
FILE: src/components/import_modal_view.rs
================================================
mod config_page;
mod file_picker_page;

use std::path::PathBuf;
use std::sync::mpsc::{self, Receiver};

use egui::{Context, Widget};
use tokio::task::JoinHandle;
use crate::constant::ACCENT_COLOR;

use crate::models::app_model::ImportState;
use crate::models::data_model::ExternalData;
use crate::models::{Models, ImportedData};
use crate::utils::csv_loader::{read_headers_from_csv, load_data};
use crate::widgets::frames::inner_panel_frame;
use crate::widgets::modal::Modal;

#[derive(Default, PartialEq)]
enum Page {
    #[default]
    FilePicker,
    Config,
}

#[derive(Default)]
pub struct ImportModal {
    page_index: Page,
    node_file_path: String,
    edge_file_path: String,
    edge_source: usize,
    edge_target: usize,
    import_promise: Option<Receiver<Result<ImportedData, String>>>,
    import_join_handle: Option<JoinHandle<()>>,
}

impl ImportModal {
    pub fn show(&mut self, ctx: &Context, models: &mut Models) {
        Modal::new(String::from("import_modal_view")).show(ctx, |ui| {
            ui.set_width(400.0);
            ui.set_height(250.0);

            egui::CentralPanel::default()
                .frame(inner_panel_frame(ui.style()))
                .show_inside(ui, |ui| match self.page_index {
                    Page::FilePicker => file_picker_page::show(self, models, ui),
                    Page::Config => config_page::show(self, models, ui),
                });

            egui::TopBottomPanel::bottom("v")
                .frame(inner_panel_frame(ui.style()))
                .show_inside(ui, |ui| {
                    ui.set_style(ui.ctx().style());
                    ui.spacing_mut().item_spacing = egui::vec2(8.0, 8.0);

                    ui.horizontal(|ui| {
                        if let ImportState::Error(message) = &models.app_model.import_state {
                            ui.label(message);
                        }
                        ui.allocate_ui_with_layout(
                            ui.available_size(),
                            egui::Layout::right_to_left(egui::Align::Center),
                            |ui| match self.page_index {
                                Page::FilePicker => {
                                    ui.add_enabled_ui(!self.edge_file_path.is_empty(), |ui| {
                                        if egui::Button::new("   Next   ").fill(ACCENT_COLOR).ui(ui).clicked() {
                                            self.on_click_next(models);
                                        }
                                    });
                                    if ui.button("   Cancel   ").clicked() {
                                        models.app_model.is_import_visible = false;
                                    }
                                }
                                Page::Config => {
                                    if egui::Button::new("   Done   ").fill(ACCENT_COLOR).ui(ui).clicked() {
                                        self.on_click_done();
                                    }
                                    let reimport_data_button = ui.button("   Back   ");
                                    if reimport_data_button.clicked() {
                                        self.reset_import_promise();
                                        self.page_index = Page::FilePicker;
                                    }
                                    if self.check_import_done(models) {
                                        ui.spinner();
                                    }
                                }
                            },
                        );
                    });
                });
        });
    }

    fn on_click_next(&mut self, models: &mut Models) {
        match self.load_edge_headers(models) {
            Ok(_) => {
                let edge_data_headers = &models.data_model.edge_data.headers_index_str;
                self.edge_source = edge_data_headers.iter().position(|s| s == "source").unwrap_or(0);
                self.edge_target = edge_data_headers.iter().position(|s| s == "target").unwrap_or(1);
                self.page_index = Page::Config;
                models.app_model.import_state = ImportState::Initial;
            }
            Err(s) => {
                models.app_model.import_state =
                    ImportState::Error(s);
            }
        }
    }

    #[allow(unused_must_use)]
    fn on_click_done(&mut self) {
        let node_file_path = self.node_file_path.clone();
        let edge_file_path = self.edge_file_path.clone();
        let edge_source = self.edge_source;
        let edge_target = self.edge_target;
        let (sender, recv) = mpsc::channel();
        let join_handle = tokio::task::spawn(async move {
            sender.send(load_data(&node_file_path, &edge_file_path, edge_source, edge_target));
        });
        self.import_promise = Some(recv);
        self.import_join_handle = Some(join_handle);
    }

    fn check_import_done(&mut self, models: &mut Models) -> bool {
        if let Some(promise) = self.import_promise.take() {
            match promise.try_recv() {
                Ok(result) => {
                    match result {
                        Ok(data) => {
                            models.setup_data(data);
                            self.reset_import_promise();
                            self.page_index = Page::FilePicker;
                        },
                        Err(s) => {
                            models.data_model.node_data = ExternalData::default();
                            models.data_model.edge_data = ExternalData {
                                headers_str_index: models.data_model.edge_data.headers_str_index.clone(),
                                headers_index_str: models.data_model.edge_data.headers_index_str.clone(),
                                data: Vec::default(),
                            };
                            models.app_model.import_state = ImportState::Error(s);
                        }
                    }
                },
                Err(_) => {
                    self.import_promise = Some(promise);
                    return true;
                }
            }
        }
        false
    }

    fn load_edge_headers(&mut self, models: &mut Models) -> Result<(), String> {
        let (headers_str_index, headers_index_str) = read_headers_from_csv(&Some(PathBuf::from(self.edge_file_path.clone())))?;
        models.data_model.edge_data.headers_str_index = headers_str_index;
        models.data_model.edge_data.headers_index_str = headers_index_str;

        // validate edge data
        if models.data_model.edge_data.headers_str_index.len() < 2 {
            Err("The edge file must contain source and target node IDs".to_owned())
        } else {
            Ok(())
        }
    }

    fn reset_import_promise(&mut self) {
        if let Some(join_handle) = &self.import_join_handle {
            join_handle.abort();
        }
        self.import_promise = None;
        self.import_join_handle = None;
    }
}


================================================
FILE: src/components/inspector_view.rs
================================================
use std::hash::Hash;

use egui::{CollapsingHeader, CollapsingResponse, Color32, Ui};

use crate::models::Models;
use crate::models::app_model::{ImportState, InspectorTab};
use crate::models::graphics_model::ComputeMethod;
use crate::models::graphics_model::ComputeMethodType;
use crate::models::data_model::{ColorType, ColorRamp, ColorPalette, SizeType};
use crate::utils::file::{path_to_string, pick_folder, system_open_directory};
use crate::widgets::frames::{button_group_style, DEFAULT_BUTTON_PADDING, inspector_frame, inspector_inner_frame};

use super::AppView;

#[derive(Default)]
pub struct InspectorView;

impl AppView for InspectorView {
    fn show(&mut self, models: &mut Models, ui: &mut Ui, _frame: &mut eframe::Frame) {
        egui::SidePanel::right("inspector_view")
            .frame(inspector_frame(ui.style()))
            .default_width(320.0)
            .width_range(150.0..=400.0)
            .resizable(false)
            .show_inside(ui, |ui| {

                // Render Section
                egui::TopBottomPanel::bottom("render")
                    .frame(inspector_inner_frame(ui.style()))
                    .show_separator_line(false)
                    .show_inside(ui, |ui| {
                        ui.set_style(ui.ctx().style());
                        ui.spacing_mut().item_spacing = egui::vec2(4.0, 4.0);
                        ui.spacing_mut().button_padding = DEFAULT_BUTTON_PADDING;

                        if models.app_model.import_state != ImportState::Success {
                            ui.set_enabled(false);
                        }

                        ui.with_layout(
                            egui::Layout::right_to_left(egui::Align::Center),
                            |ui| {
                                let folder_open = ui.button("🗁");
                                if folder_open.clicked() {
                                    Models::pick_output_folder_and_then(&mut models.app_model.output_folder, |folder| {
                                        system_open_directory(folder);
                                    });
                                }
                                ui.vertical_centered_justified(|ui| {
                                    let render_button = ui.button("Render Image");
                                    if render_button.clicked() {
                                        models.render_output();
                                    }
                                });
                            },
                        );
                });

                // Main Section
                egui::CentralPanel::default()
                    .frame(inspector_inner_frame(ui.style()))
                    .show_inside(ui, |ui| {
                        ui.set_style(ui.ctx().style());
                        ui.spacing_mut().item_spacing = egui::vec2(4.0, 4.0);

                        // Import Section / File Section
                        if matches!(models.app_model.import_state, ImportState::Success) {
                            ui.horizontal(|ui| {
                                ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {

                                    ui.spacing_mut().button_padding = DEFAULT_BUTTON_PADDING;
                                    let remove_data_button = ui.button("🗑");
                                    if remove_data_button.clicked() {
                                        models.clear_data()
                                    }
                                    ui.with_layout(
                                        egui::Layout::top_down(egui::Align::LEFT).with_cross_align(egui::Align::Min),
                                        |ui| {
                                            let node_file_name = models.app_model.node_file_name().unwrap_or("");
                                            let edge_file_name = models.app_model.edge_file_name().unwrap_or("");
                                            ui.label(egui::RichText::new(format!("Node File: {}\nEdge File: {}", node_file_name, edge_file_name)).strong());
                                        },
                                    );
                                });
                            });
                        } else {
                            ui.vertical_centered_justified(|ui| {
                                let import_data_button = ui.button("Import Data");
                                if import_data_button.clicked() {
                                    models.app_model.is_import_visible = true;
                                }
                            });
                        }

                        ui.separator();

                        if models.app_model.import_state != ImportState::Success {
                            ui.set_enabled(false);
                        }

                        // Node Edge Inspector Switch
                        button_group_style(ui.style()).show(ui, |ui| {
                            ui.set_style(ui.ctx().style());
                            ui.spacing_mut().item_spacing = egui::vec2(0.0, 0.0);
                            ui.columns(5, |columns| {
                                columns[0].vertical_centered_justified(|ui| {
                                    ui.selectable_value(&mut models.app_model.inspector_tab, InspectorTab::Graph, "Graph");
                                });
                                columns[1].vertical_centered_justified(|ui| {
                                    ui.selectable_value(&mut models.app_model.inspector_tab, InspectorTab::Node, "Node");
                                });
                                columns[2].vertical_centered_justified(|ui| {
                                    ui.selectable_value(&mut models.app_model.inspector_tab, InspectorTab::Edge, "Edge");
                                });
                                columns[3].vertical_centered_justified(|ui| {
                                    ui.selectable_value(&mut models.app_model.inspector_tab, InspectorTab::Camera, "Camera");
                                });
                                columns[4].vertical_centered_justified(|ui| {
                                    ui.selectable_value(&mut models.app_model.inspector_tab, InspectorTab::Options, "Options");
                                });
                            });
                        });

                        ui.add_space(6.0);

                        // Node Edge Inspector
                        egui::ScrollArea::vertical()
                            // .always_show_scroll(true)
                            .auto_shrink([false, false])
                            .id_source("source")
                            .show(ui, |ui| {
                                match models.app_model.inspector_tab {
                                    InspectorTab::Graph => self.graph_inspector(models, ui),
                                    InspectorTab::Node => self.node_inspector(models, ui),
                                    InspectorTab::Edge => self.edge_inspector(models, ui),
                                    InspectorTab::Camera => self.camera_inspector(models, ui),
                                    InspectorTab::Options => self.options_inspector(models, ui),
                                };

                            });

                        ui.separator();
                });

            });
    }
}

impl InspectorView {
    fn graph_inspector(&mut self, models: &mut Models, ui: &mut Ui) {
        let node_settings = &mut models.data_model.node_settings;

        inspector_section(ui, true, "Transform", |ui| {
            grid_label(ui, "");

            ui.end_row();
        });

        inspector_section(ui, true, "Layout", |ui| {

            grid_label(ui, "Method");
            egui::ComboBox::from_id_source("Position Compute")
                .selected_text(node_settings.position_compute.0)
                .show_ui(ui, |ui| {
                    ui.selectable_value(&mut node_settings.position_compute, ComputeMethod::FORCE_ATLAS2, ComputeMethod::FORCE_ATLAS2.0);
                    ui.separator();
                    ui.selectable_value(&mut node_settings.position_compute, ComputeMethod::RANDOMIZE, ComputeMethod::RANDOMIZE.0);
                });
            ui.end_row();

            grid_label(ui, "");

            if node_settings.position_compute.1 == ComputeMethodType::Continuous {
                let continuous_button = ui.button(if !models.graphics_model.is_computing { "Start Computing" } else { "Pause Computing" });
                if continuous_button.clicked() {
                    models.graphics_model.switch_computing();
                }
            } else {
                models.graphics_model.set_computing(false);
                let one_step_button = ui.button("⏩ Dispatch");
                if one_step_button.clicked() {
                    models.graphics_model.set_dispatching(true);
                }
            }
            ui.end_row();
        });

    }

    fn node_inspector(&mut self, models: &mut Models, ui: &mut Ui) {
        let node_settings = &mut models.data_model.node_settings;

        inspector_section(ui, true, "Color", |ui| {
            grid_label(ui, "Type");
            egui::ComboBox::from_id_source("Color Type")
                .selected_text(&node_settings.color_type.to_string())
                .show_ui(ui, |ui| {
                    ui.selectable_value(&mut node_settings.color_type, ColorType::Constant, "Constant");
                    ui.selectable_value(&mut node_settings.color_type, ColorType::Ramp, "Ramp");
                    ui.selectable_value(&mut node_settings.color_type, ColorType::Partition, "Partition");
                });
            ui.end_row();

            match node_settings.color_type {
                ColorType::Constant => {
                    grid_label(ui, "Value");
                    ui.color_edit_button_srgba(&mut node_settings.color_constant);
                    ui.end_row();
                },
                ColorType::Ramp => {
                    let (source, ramp) = &mut node_settings.color_ramp;
                    source_combox("Source", &models.data_model.node_data.headers_index_str, source, ui);
                    grid_label(ui, "Picker");
                    egui::ComboBox::from_id_source("Color Ramp")
                        .selected_text(&ramp.to_string())
                        .show_ui(ui, |ui| {
                            ui.selectable_value(ramp, ColorRamp::Ramp1, "Ramp1");
                            ui.selectable_value(ramp, ColorRamp::Ramp2, "Ramp2");
                        });
                    ui.end_row();

                    grid_label(ui, "");
                    let _ = ui.button("Set Color");
                    ui.end_row();
                },
                ColorType::Partition => {
                    let (source, platte) = &mut node_settings.color_partition;
                    source_combox("Color Partition Source", &models.data_model.node_data.headers_index_str, source, ui);
                    grid_label(ui, "Platte");
                    egui::ComboBox::from_id_source("Color Partition")
                        .selected_text(&platte.to_string())
                        .show_ui(ui, |ui| {
                            ui.selectable_value(platte, ColorPalette::Palette1, "Palette1");
                            ui.selectable_value(platte, ColorPalette::Palette2, "Palette2");
                        });
                    ui.end_row();

                    grid_label(ui, "");
                    let _ = ui.button("Set Color");
                    ui.end_row();
                },
            }
        });

        inspector_section(ui, true, "Size", |ui| {
            grid_label(ui, "Type");
            egui::ComboBox::from_id_source("Size Type")
                .selected_text(&node_settings.size_type.to_string())
                .show_ui(ui, |ui| {
                    ui.selectable_value(&mut node_settings.size_type, SizeType::Constant, "Constant");
                    ui.selectable_value(&mut node_settings.size_type, SizeType::Ramp, "Ramp");
                });
            ui.end_row();

            match node_settings.size_type {
                SizeType::Constant => {
                    grid_label(ui, "Value");
                    ui.add(egui::Slider::new(&mut node_settings.size_constant, 0.1..=10.0));
                    ui.end_row();
                },
                SizeType::Ramp => {
                    let (source, _) = &mut node_settings.size_ramp;
                    source_combox("Source", &models.data_model.node_data.headers_index_str, source, ui);
                    grid_label(ui, "Range");
                    ui.horizontal(|ui| {
                        ui.add(egui::DragValue::new(&mut node_settings.size_ramp.1[0]).speed(0.1));
                        ui.label("—");
                        ui.add(egui::DragValue::new(&mut node_settings.size_ramp.1[1]).speed(0.1));
                    });
                    ui.end_row();

                    grid_label(ui, "");
                    let _ = ui.button("Set Size");
                    ui.end_row();
                }
            }
        });

        inspector_section(ui, false, "Position", |ui| {
            let (source, _) = &mut node_settings.size_ramp;
            source_combox("Source", &models.data_model.node_data.headers_index_str, source, ui);
            grid_label(ui, "");
            let _ = ui.button("Set Position");
            ui.end_row();

        });
    }

    fn edge_inspector(&mut self, _models: &mut Models, ui: &mut Ui) {
        inspector_section(ui, true, "Color", |ui| {
            grid_label(ui, "Value");
            ui.color_edit_button_srgba(&mut Color32::from_rgb(255, 255, 255));
            ui.end_row();
        });

        inspector_section(ui, true, "Width", |ui| {
            grid_label(ui, "Value");
            ui.add(egui::Slider::new(&mut 1.0, 0.1..=10.0));
            ui.end_row();
        });
    }

    fn camera_inspector(&mut self, _models: &mut Models, ui: &mut Ui) {
        let camera_settings = &mut _models.data_model.camera_settings;
        inspector_section(ui, true, "Transform", |ui| {

            grid_label(ui, "Look at");
            ui.horizontal(|ui| {
                ui.add(egui::DragValue::new(&mut camera_settings.look_at.0).speed(0.1));
                ui.add(egui::DragValue::new(&mut camera_settings.look_at.1).speed(0.1));
                ui.add(egui::DragValue::new(&mut camera_settings.look_at.2).speed(0.1));
            });
            ui.end_row();


            grid_label(ui, "Rotation");
            ui.horizontal(|ui| {
                ui.add(egui::DragValue::new(&mut camera_settings.rotation.0).speed(0.1));
                ui.add(egui::DragValue::new(&mut camera_settings.rotation.1).speed(0.1));
                ui.add(egui::DragValue::new(&mut camera_settings.rotation.2).speed(0.1));
            });
            ui.end_row();

            grid_label(ui, "Distance");
            ui.horizontal(|ui| {
                ui.add(egui::DragValue::new(&mut camera_settings.distance).speed(0.1));
            });
            ui.end_row();
        });
        inspector_section(ui, true, "View", |ui| {
            ui.end_row();
        });
        inspector_section(ui, true, "Composite", |ui| {
            ui.end_row();
        });
    }

    fn options_inspector(&mut self, models: &mut Models, ui: &mut Ui) {

        inspector_section(ui, true, "Output", |ui| {
            grid_label(ui, "Folder");
            ui.horizontal(|ui| {
                ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {

                    ui.spacing_mut().button_padding = DEFAULT_BUTTON_PADDING;

                    if ui.button("•••").clicked() {
                        models.app_model.output_folder = path_to_string(&pick_folder()).unwrap_or(models.app_model.output_folder.clone());
                    }

                    ui.vertical_centered_justified(|ui| {
                        ui.add(
                            egui::TextEdit::singleline(&mut models.app_model.output_folder)
                                // .hint_text("未识别的路径")
                                .desired_width(200.)
                        );
                    });

                });
            });
            ui.end_row();

        });

    }
}

fn source_combox(id_source: impl Hash, data_hearders: &Vec<String>, current_value: &mut String, ui: &mut Ui) {
    grid_label(ui, "Source");
    egui::ComboBox::from_id_source(id_source)
        .selected_text(current_value.to_string())
        .show_ui(ui, |ui| {
            ui.selectable_value(current_value, String::from("None"), String::from("None"));
            for value in data_hearders {
                ui.selectable_value(current_value, value.clone(), value);
            }
        });
    ui.end_row();
}

fn inspector_grid(id: &str) -> egui::Grid {
    egui::Grid::new(id)
        .num_columns(2)
        .spacing([10.0, 4.0])
        .min_col_width(65.)
        .min_row_height(10.)
}

fn grid_label(ui: &mut egui::Ui, title: &str) {
    let label = format!("{}", title);
    ui.horizontal(|ui| {
        ui.set_width(100.);
        ui.with_layout(egui::Layout::right_to_left(egui::Align::Center), |ui| {
            ui.add(
                egui::Label::new(egui::RichText::new(label)).wrap(true)
            )
        });
    });
}


fn inspector_section<R>(ui: &mut Ui, default_open: bool, title: &str, add_contents: impl FnOnce(&mut Ui) -> R ) -> CollapsingResponse<R> {
    CollapsingHeader::new(title)
        .default_open(default_open)
        .show(ui, |ui| {
            // ui.add_space(6.0);
            let r = inspector_grid(title)
                .show(ui, |ui| {
                    add_contents(ui)
                }).inner;
            // ui.add_space(6.0);

            r
        })
}

================================================
FILE: src/components/menubar_view.rs
================================================
use egui::Ui;

use crate::widgets::frames::menu_panel_style;
use crate::{
    models::{
        app_model::{ImportState, MainStage},
        Models,
    },
    widgets::frames::button_group_style,
};

use super::AppView;

pub struct MenuBarView;

impl Default for MenuBarView {
    fn default() -> Self {
        Self {}
    }
}

impl AppView for MenuBarView {
    fn show(&mut self, models: &mut Models, ui: &mut Ui, frame: &mut eframe::Frame) {
        egui::TopBottomPanel::top("menubar_view")
            .frame(menu_panel_style(
                ui.style(),
                frame.info().window_info.fullscreen,
            ))
            .show_separator_line(false)
            .show_inside(ui, |ui| {
                ui.set_style(ui.ctx().style());
                egui::menu::bar(ui, |ui| {
                    spacing_ui(ui);
                    ui.menu_button("File", |ui| {
                        spacing_ui_start(ui);
                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("New");
                            let _ = ui.button("Open");
                        });

                        ui.separator();

                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("Close");
                            let _ = ui.button("Save");
                        });

                        ui.separator();

                        match models.app_model.import_state {
                            ImportState::Initial => {
                                if ui.button("Import Data").clicked() {
                                    models.app_model.is_import_visible = true;
                                    ui.close_menu();
                                }
                            }
                            ImportState::Success => {
                                if ui.button("Reimport Data").clicked() {
                                    models.clear_data();
                                    models.app_model.is_import_visible = true;
                                    ui.close_menu();
                                }
                            }
                            _ => {}
                        }

                        ui.add_enabled_ui(
                            models.app_model.import_state == ImportState::Success,
                            |ui| {
                                if ui.button("Export Data").clicked() {
                                    models.app_model.is_export_visible = true;
                                    ui.close_menu();
                                }
                            },
                        );

                        ui.separator();

                        if ui.button("Quit").clicked() {
                            frame.close();
                        }
                        spacing_ui_end(ui);
                    });
                    ui.menu_button("Edit", |ui| {
                        spacing_ui_start(ui);

                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("Undo");
                            let _ = ui.button("Redo");
                        });

                        ui.separator();

                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("Preference");
                        });

                        spacing_ui_end(ui);
                    });
                    ui.menu_button("Render", |ui| {
                        spacing_ui_start(ui);

                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("Render Image");
                        });

                        ui.separator();

                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("Show Result");
                        });
                        spacing_ui_end(ui);
                    });
                    ui.menu_button("Window", |ui| {
                        spacing_ui_start(ui);

                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("Fullscreen");
                        });

                        ui.separator();

                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("Save Screenshot");
                        });
                        spacing_ui_end(ui);
                    });
                    ui.menu_button("Help", |ui| {
                        spacing_ui_start(ui);

                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("Official Website");
                            let _ = ui.button("Manual");
                            let _ = ui.button("Tutorial");
                        });

                        ui.separator();

                        ui.add_enabled_ui(false, |ui| {
                            let _ = ui.button("Report a Bug");
                        });
                        spacing_ui_end(ui);
                    });

                    ui.add_space(12.0);

                    button_group_style(ui.style()).show(ui, |ui| {
                        ui.set_style(ui.ctx().style());
                        ui.spacing_mut().item_spacing = egui::vec2(0.0, 0.0);
                        ui.selectable_value(
                            &mut models.app_model.main_stage,
                            MainStage::Graphics,
                            "  Graphics  ",
                        );
                        ui.selectable_value(
                            &mut models.app_model.main_stage,
                            MainStage::Table,
                            "  Table  ",
                        );
                    });
                });
            });
    }
}

fn spacing_ui(ui: &mut Ui) {
    ui.spacing_mut().item_spacing = egui::vec2(0.0, 2.0);
    ui.spacing_mut().button_padding = egui::vec2(8.0, 1.0);
}

fn spacing_ui_start(ui: &mut Ui) {
    ui.spacing_mut().item_spacing = egui::vec2(0.0, 2.0);
    ui.spacing_mut().button_padding = egui::vec2(6.0, 0.0);
    ui.add_space(2.0);
    // ui.add_space(4.0);
}

fn spacing_ui_end(_ui: &mut Ui) {
    // ui.add_space(2.0);
}


================================================
FILE: src/components/mod.rs
================================================
use egui::Ui;

use crate::models::Models;

pub mod detail_view;
pub mod dock_view;
pub mod drawer_view;
pub mod drawers;
pub mod export_modal_view;
pub mod graphics_view;
pub mod import_modal_view;
pub mod inspector_view;
pub mod menubar_view;
pub mod shortcuts;
pub mod table_view;

pub trait AppView {
    fn show(&mut self, models: &mut Models, ui: &mut Ui, frame: &mut eframe::Frame);
}


================================================
FILE: src/components/shortcuts.rs
================================================
use egui::{Modifiers, Ui};
use crate::models::graphics_model::ComputeMethodType;
use crate::models::Models;

#[derive(Default)]
pub struct Shortcut;

impl Shortcut {
    pub fn apply(&mut self, models: &mut Models, ui: &mut Ui, _frame: &mut eframe::Frame) {
        let organize_shortcut =
            egui::KeyboardShortcut::new(Modifiers::COMMAND, egui::Key::R);
        let organize_shortcut2 =
            egui::KeyboardShortcut::new(Modifiers::NONE, egui::Key::F2);

        let mut should_switch_compute = false;
        if ui.input_mut().consume_shortcut(&organize_shortcut) { should_switch_compute = true }
        if ui.input_mut().consume_shortcut(&organize_shortcut2) { should_switch_compute = true }

        if should_switch_compute {
            let node_settings = &mut models.data_model.node_settings;
            if node_settings.position_compute.1 == ComputeMethodType::Continuous {
                models.graphics_model.switch_computing();
            } else {
                models.graphics_model.set_dispatching(true);
            }
        }

        let organize_shortcut =
            egui::KeyboardShortcut::new(Modifiers::COMMAND, egui::Key::S);

        if ui.input_mut().consume_shortcut(&organize_shortcut) {
            models.render_output();
        }

        let organize_shortcut =
            egui::KeyboardShortcut::new(Modifiers::NONE, egui::Key::Escape);

        if ui.input_mut().consume_shortcut(&organize_shortcut) {
            models.app_model.is_fullscreen_graphics = false;
            if !models.app_model.is_fullscreen {
                _frame.set_fullscreen(false);
            }
        }
    }
}

================================================
FILE: src/components/table_view.rs
================================================
use egui_extras::{TableBuilder, Column};

use crate::{
    models::{app_model::TableTab, data_model::ExternalData, Models},
    widgets::frames::button_group_style,
};
use crate::models::app_model::ImportState;
use crate::widgets::frames::central_panel_frame;

use super::AppView;

#[derive(Default)]
pub struct TableView;

impl AppView for TableView {
    fn show(&mut self, models: &mut Models, ui: &mut egui::Ui, _frame: &mut eframe::Frame) {
        let style = (*ui.style()).clone();
        egui::CentralPanel::default()
            .frame(central_panel_frame(&style))
            .show_inside(ui, |ui| {
                ui.spacing_mut().item_spacing = egui::vec2(4.0, 4.0);

                ui.horizontal_top(|ui| {
                    button_group_style(ui.style()).show(ui, |ui| {
                        ui.set_style(ui.ctx().style());
                        ui.spacing_mut().item_spacing = egui::vec2(0.0, 0.0);
                        ui.selectable_value(&mut models.app_model.table_tab, TableTab::Node, "  Node Data  ");
                        ui.selectable_value(&mut models.app_model.table_tab, TableTab::Edge, "  Edge Data  ");
                    });
                });

                ui.separator();

                let ExternalData { headers_index_str: data_headers, data, .. } = match models.app_model.table_tab {
                    TableTab::Node => &models.data_model.node_data,
                    TableTab::Edge => &models.data_model.edge_data,
                };

                if models.app_model.import_state != ImportState::Success {
                    ui.centered_and_justified(|ui| {
                        let empty_hint_text = match models.app_model.table_tab {
                            TableTab::Node => "Import node data to display.",
                            TableTab::Edge => "Import edge data to display.",
                        };
                        ui.label(egui::RichText::new(empty_hint_text).weak());
                    });
                    return;
                }

                let text_height = egui::TextStyle::Body.resolve(ui.style()).size + 2.0;

                egui::ScrollArea::horizontal()
                    // .always_show_scroll(true)
                    .auto_shrink([false, false])
                    .id_source("table_scroll")
                    .show(ui, |ui| {
                        TableBuilder::new(ui)
                            .striped(true)
                            .max_scroll_height(1600.0)
                            .cell_layout(egui::Layout::left_to_right(egui::Align::Center))
                            .columns(Column::initial(100.0).at_least(60.0), if data_headers.len() > 0 { data_headers.len() } else { 0 })
                            .columns(Column::remainder().at_least(60.0), 1)
                            .resizable(true)
                            .header(20.0, |mut header| {
                                header.col(|ui| {
                                    ui.label(egui::RichText::new("Index").weak());
                                });
                                for col in data_headers.iter() {
                                    header.col(|ui| {
                                        ui.label(egui::RichText::new(col).strong());
                                    });
                                }
                            })
                            .body(|body| {
                                body.rows(text_height, models.data_model.status.node_count, |row_index, mut row| {
                                    row.col(|ui| {
                                        ui.label(egui::RichText::new(row_index.to_string()).weak());
                                    });
                                    if row_index >= data.len() {
                                        for _data_col in data_headers {
                                            row.col(|ui| {
                                                ui.label(egui::RichText::new("N/A").weak());
                                            });
                                        }
                                    } else {
                                        let data_row = &data[row_index];
                                        for data_col in data_row {
                                            row.col(|ui| {
                                                ui.label(data_col);
                                            });
                                        }
                                    }

                                })
                            });
                    });

            });
    }
}


================================================
FILE: src/lib.rs
================================================
#[macro_use]
extern crate lazy_static;

mod app;
pub mod widgets;
pub mod components;
pub mod models;
pub mod utils;
pub mod bootstrap;

pub use app::MainApp;

pub const APP_VERSION: &str = env!("CARGO_PKG_VERSION");

pub use {
    utils::constant
};

================================================
FILE: src/main.rs
================================================
#![cfg_attr(not(debug_assertions), windows_subsystem = "windows")]

use graphpu::bootstrap::{start_frame, ConfigBuilder};

#[tokio::main]
async fn main() {
    start_frame(ConfigBuilder::default().build());
}


================================================
FILE: src/models/app_model.rs
================================================
use crate::utils::file::desktop_dir_or_empty;
use egui::style::{Selection, Spacing, WidgetVisuals, Widgets};
use egui::{Color32, Rounding, Stroke, Style, Vec2, Visuals};
use std::path::PathBuf;
use std::sync::Arc;

#[derive(Debug, Default, PartialEq)]
pub enum ImportState {
    #[default]
    Initial,
    Error(String),
    Success,
}

#[derive(Default, PartialEq)]
pub enum MainStage {
    #[default]
    Graphics,
    Table,
}

#[derive(Default, PartialEq)]
pub enum DockStage {
    #[default]
    None,
    Messages,
    Timeline,
    Kernel,
}

#[derive(Default, PartialEq)]
pub enum TableTab {
    #[default]
    Node,
    Edge,
}

#[derive(Default, PartialEq)]
pub enum InspectorTab {
    #[default]
    Graph,
    Node,
    Edge,
    Camera,
    Options,
}

#[derive(Default, PartialEq)]
pub enum Tool {
    Select,
    Handle,
    #[default]
    View,
}

pub struct AppModel {
    pub is_import_visible: bool,
    pub is_export_visible: bool,
    pub is_timeline_expand: bool,
    pub is_fullscreen: bool,
    pub is_fullscreen_graphics: bool,
    pub import_state: ImportState,
    pub node_file_path: Option<PathBuf>,
    pub edge_file_path: Option<PathBuf>,
    pub output_folder: String,
    pub main_stage: MainStage,
    pub dock_stage: DockStage,
    pub table_tab: TableTab,
    pub inspector_tab: InspectorTab,
    pub pixels_per_point: f32,
    pub current_tool: Tool,
    pub ui_frame_count: u32,
    pub dock_style: Arc<Style>,
}

impl Default for AppModel {
    fn default() -> Self {
        let dock_style = Style {
            spacing: Spacing {
                button_padding: Vec2::from([8.0, 3.0]),
                interact_size: Vec2::from([0.0, 0.0]),
                ..Default::default()
            },
            visuals: Visuals {
                widgets: Widgets {
                    inactive: WidgetVisuals {
                        bg_fill: Color32::from_gray(60), // button background
                        bg_stroke: Default::default(),
                        fg_stroke: Stroke::new(1.0, Color32::from_white_alpha(120)), // button text
                        rounding: Rounding::none(),
                        expansion: 0.5,
                    },
                    hovered: WidgetVisuals {
                        bg_fill: Color32::from_gray(45),
                        bg_stroke: Stroke::NONE, // e.g. hover over window edge or button
                        fg_stroke: Stroke::new(1.5, Color32::from_gray(240)),
                        rounding: Rounding::none(),
                        expansion: 0.5,
                    },
                    active: WidgetVisuals {
                        bg_fill: Color32::from_gray(70),
                        bg_stroke: Stroke::NONE,
                        fg_stroke: Stroke::new(2.0, Color32::WHITE),
                        rounding: Rounding::none(),
                        expansion: 0.5,
                    },

                    ..Default::default()
                },
                selection: Selection {
                    bg_fill: Color32::from_gray(60),
                    stroke: Stroke::new(1.0, Color32::from_white_alpha(220)), // button text
                },
                ..Default::default()
            },
            ..Default::default()
        };

        Self {
            is_import_visible: false,
            is_export_visible: false,
            is_timeline_expand: false,
            is_fullscreen: false,
            is_fullscreen_graphics: false,
            import_state: Default::default(),
            node_file_path: None,
            edge_file_path: None,
            output_folder: desktop_dir_or_empty(),
            main_stage: Default::default(),
            dock_stage: Default::default(),
            table_tab: Default::default(),
            inspector_tab: Default::default(),
            pixels_per_point: 1.0,
            current_tool: Default::default(),
            ui_frame_count: 0,
            dock_style: Arc::new(dock_style),
        }
    }
}

impl AppModel {
    pub fn node_file_name(&self) -> Option<&str> {
        self.node_file_path
            .as_ref()?
            .file_name()
            .and_then(|s| s.to_str())
    }

    pub fn edge_file_name(&self) -> Option<&str> {
        self.edge_file_path
            .as_ref()?
            .file_name()
            .and_then(|s| s.to_str())
    }
}


================================================
FILE: src/models/data_model.rs
================================================
use std::collections::HashMap;
use eframe::epaint::Color32;

use strum::Display;

use super::graphics_model::ComputeMethod;

#[derive(Debug, Default)]
pub struct ExternalData {
    pub headers_str_index: HashMap<String, usize>,
    pub headers_index_str: Vec<String>,
    pub data: Vec<Vec<String>>,
}

#[derive(Debug, Default, Clone)]
pub struct GraphicsStatus {
    pub node_count: usize,
    pub edge_count: usize,
    pub node_data_length: usize,
    pub edge_data_length: usize,
}

#[derive(Display, PartialEq)]
pub enum PositionType {
    Compute,
    Set,
}

#[derive(Display, PartialEq)]
pub enum ColorRamp {
    Ramp1,
    Ramp2,
}

#[derive(Display, PartialEq)]
pub enum ColorPalette {
    Palette1,
    Palette2,
}

#[derive(Display, PartialEq)]
pub enum ColorType {
    Constant,
    Ramp,
    Partition,
}

#[derive(Display, PartialEq)]
pub enum SizeType {
    Constant,
    Ramp,
}

pub struct NodeSettings {
    pub position_type: PositionType,
    pub position_compute: ComputeMethod,
    pub position_set: (f32, f32, f32),
    
    pub color_type: ColorType,
    pub color_constant: Color32,
    pub color_ramp: (String, ColorRamp),
    pub color_partition: (String, ColorPalette),
    
    pub size_type: SizeType,
    pub size_constant: f32,
    pub size_ramp: (String, [f32; 2]),
}

pub struct CameraSettings {
    pub look_at: (f32, f32, f32),
    pub rotation: (f32, f32, f32),
    pub distance: f32,
}



impl Default for CameraSettings {
    fn default() -> Self {
        Self {
            look_at: (0.0, 0.0, 0.0),
            rotation: (0.0, 0.0, 0.0),
            distance: 10.0
        }
    }
}

impl Default for NodeSettings {
    fn default() -> Self {
        Self {
            position_type: PositionType::Compute,
            position_compute: ComputeMethod::FORCE_ATLAS2,
            position_set: (0.0, 0.0, 0.0),
            color_type: ColorType::Constant,
            color_constant: Color32::WHITE,
            color_ramp: (String::from("None"), ColorRamp::Ramp1),
            color_partition: (String::from("None"), ColorPalette::Palette1),
            size_type: SizeType::Constant,
            size_constant: 1.0,
            size_ramp: (String::from("None"), [0.5, 2.0]),
        }
    }
}

pub struct DataModel {
    pub node_data: ExternalData,
    pub edge_data: ExternalData,
    pub edge_source: Option<usize>,
    pub edge_target: Option<usize>,
    pub source_target_list: Option<Vec<u32>>,
    pub max_id: u32,
    pub status: GraphicsStatus,
    pub node_settings: NodeSettings,
    pub camera_settings: CameraSettings,
}

impl Default for DataModel {
    fn default() -> Self {
        Self {
            node_data: ExternalData::default(),
            edge_data: ExternalData::default(),
            edge_source: None,
            edge_target: None,
            source_target_list: None,
            max_id: 0,
            status: GraphicsStatus::default(),
            node_settings: NodeSettings::default(),
            camera_settings: Default::default()
        }
    }
}

impl DataModel {
    pub fn set_status(&mut self) {
        self.status.node_count =
            std::cmp::max(
                self.node_data.data.len(),
                if self.edge_data.data.len() > 0 { (self.max_id + 1) as usize } else { 0 }
            );
        self.status.edge_count = self.edge_data.data.len();
        self.status.node_data_length = self.node_data.data.len();
        self.status.edge_data_length = self.edge_data.data.len();
    }

    pub fn clear_source_target_list(&mut self) {
        // self.source_target_list = None;
    }
}

================================================
FILE: src/models/graphics_lib/bind_group_layout.rs
================================================


pub struct BindGroupLayout {
    pub bing_group_layout: wgpu::BindGroupLayout,
}

impl BindGroupLayout {

    pub fn create_node_render_bind_group_layout( device: &wgpu::Device ) -> Self {

        let bing_group_layout = device.create_bind_group_layout(&wgpu::BindGroupLayoutDescriptor {
            entries: &[
                wgpu::BindGroupLayoutEntry {
                    binding: 0,
                    visibility: wgpu::ShaderStages::VERTEX_FRAGMENT,
                    ty: wgpu::BindingType::Buffer {
                        ty: wgpu::BufferBindingType::Storage { read_only: true },
                        has_dynamic_offset: false,
                        min_binding_size: None,
                    },
                    count: None,
                },
                wgpu::BindGroupLayoutEntry {
                    binding: 1,
                    visibility: wgpu::ShaderStages::VERTEX_FRAGMENT,
                    ty: wgpu::BindingType::Buffer {
                        ty: wgpu::BufferBindingType::Storage { read_only: true },
                        has_dynamic_offset: false,
                        min_binding_size: None,
                    },
                    count: None,
                },
            ],
            label: None,
        });

        Self {
            bing_group_layout
        }
    }

    pub fn create_edge_render_bind_group_layout( device: &wgpu::Device ) -> Self {

        let bing_group_layout = device.create_bind_group_layout(&wgpu::BindGroupLayoutDescriptor {
            entries: &[
                wgpu::BindGroupLayoutEntry {
                    binding: 0,
                    visibility: wgpu::ShaderStages::VERTEX_FRAGMENT,
                    ty: wgpu::BindingType::Buffer {
                        ty: wgpu::BufferBindingType::Storage { read_only: true },
                        has_dynamic_offset: false,
                        min_binding_size: None,
                    },
                    count: None,
                },
                wgpu::BindGroupLayoutEntry {
                    binding: 1,
                    visibility: wgpu::ShaderStages::VERTEX_FRAGMENT,
                    ty: wgpu::BindingType::Buffer {
                        ty: wgpu::BufferBindingType::Storage { read_only: true },
                        has_dynamic_offset: false,
                        min_binding_size: None,
                    },
                    count: None,
                },
            ],
            label: None,
        });

        Self {
            bing_group_layout
        }
    }

    pub fn create_bounding_box_render_bind_group_layout(device: &wgpu::Device ) -> Self {

        let bing_group_layout = device.create_bind_group_layout(&wgpu::BindGroupLayoutDescriptor {
            entries: &[
                wgpu::BindGroupLayoutEntry {
                    binding: 0,
                    visibility: wgpu::ShaderStages::VERTEX_FRAGMENT,
                    ty: wgpu::BindingType::Buffer {
                        ty: wgpu::BufferBindingType::Storage { read_only: true },
                        has_dynamic_offset: false,
                        min_binding_size: None,
                    },
                    count: None,
                },
            ],
            label: None,
        });

        Self {
            bing_group_layout
        }
    }

    pub fn create_render_uniform_bind_group_layout( device: &wgpu::Device ) -> Self {

        let bing_group_layout = device.create_bind_group_layout(&wgpu::BindGroupLayoutDescriptor {
            entries: &[
                wgpu::BindGroupLayoutEntry {
                    binding: 0,
                    visibility: wgpu::ShaderStages::VERTEX_FRAGMENT,
                    ty: wgpu::BindingType::Buffer {
                        ty: wgpu::BufferBindingType::Uniform,
                        has_dynamic_offset: false,
                        min_binding_size: None,
                    },
                    count: None,
                },
            ],
            label: None,
        });

        Self {
            bing_group_layout
        }
    }

}

================================================
FILE: src/models/graphics_lib/buffer_dimensions.rs
================================================


pub struct BufferDimensions {
    pub width: usize,
    pub height: usize,
    pub unpadded_bytes_per_row: usize,
    pub padded_bytes_per_row: usize,
}

impl BufferDimensions {
    pub fn new(width: usize, height: usize, bytes_per_pixel: usize) -> Self {
        let unpadded_bytes_per_row = width * bytes_per_pixel;
        let align = wgpu::COPY_BYTES_PER_ROW_ALIGNMENT as usize;
        let padded_bytes_per_row_padding = (align - unpadded_bytes_per_row % align) % align;
        let padded_bytes_per_row = unpadded_bytes_per_row + padded_bytes_per_row_padding;
        Self {
            width,
            height,
            unpadded_bytes_per_row,
            padded_bytes_per_row,
        }
    }
}

================================================
FILE: src/models/graphics_lib/camera.rs
================================================

use std::f32::consts;
use std::f32::consts::FRAC_PI_2;

#[derive(Debug, Default)]
pub struct Camera {
    pub position: glam::Vec3,
    pub center: glam::Vec3,
    pub aspect_ratio: f32,
    pub view_matrix: glam::Mat4,
    pub projection_matrix: glam::Mat4,
    pub is_updated: bool,
    pub near_far: glam::Vec2,
    pub zoom_factor: f32,
}

impl Camera {
    pub fn from(position: glam::Vec3) -> Self {
        let mut camera = Self {
            position,
            aspect_ratio: 1.0,
            near_far: glam::Vec2::new(0.01, 10000.0),
            ..Default::default()
        };

        camera.update_projection_matrix();

        camera
    }
}

impl Camera {

    pub fn set_aspect_ratio(&mut self, aspect_ratio: f32) {
        self.aspect_ratio = aspect_ratio;
        self.is_updated = true;
    }

    pub fn set_position(&mut self, position: glam::Vec3) {
        self.position = position;
        self.is_updated = true;
    }

    pub fn zoom(&mut self, zoom_factor: f32) {

        let dir = self.position - self.center;
        let ( mut length, norm_dir ) = ( dir.length(), dir.normalize() );

        length = f32::clamp(length * zoom_factor, 0.1, 1000.0);

        self.position = length * norm_dir + self.center;
        self.is_updated = true;
    }

    pub fn rotate(&mut self, delta_angles: glam::Vec2) {

        let (mut angles, length) = pos_to_angles_length(self.position - self.center);

        angles += glam::Vec2::new(-delta_angles.x, delta_angles.y);
        angles.y = f32::clamp(angles.y, -0.9 * FRAC_PI_2, 0.9 * FRAC_PI_2);

        self.position = angles_length_to_pos(angles, length) + self.center;

        self.is_updated = true;
    }

    pub fn update_projection_matrix(&mut self) {
        self.zoom_factor = if self.aspect_ratio > 1.0 { 1.0 / self.aspect_ratio } else { 1.0 };
        let projection = glam::Mat4::perspective_rh(consts::FRAC_PI_4 * self.zoom_factor, self.aspect_ratio, self.near_far.x, self.near_far.y);
        let view = glam::Mat4::look_at_rh(
            self.position,
            self.center,
            glam::Vec3::Y,
        );
        self.view_matrix = view;
        self.projection_matrix = projection;
    }
}

fn pos_to_angles_length(pos: glam::Vec3) -> (glam::Vec2, f32) {
    let length = pos.length();

    let angle_x = f32::atan2(pos.x, pos.z);
    let angle_y = f32::atan2(pos.y, f32::sqrt(pos.x * pos.x + pos.z * pos.z));

    return (glam::Vec2::new(angle_x, angle_y), length)


}

fn angles_length_to_pos(angles: glam::Vec2, length: f32) -> glam::Vec3 {

    let pos_y = f32::sin(angles.y);
    let pos_xz_factor = f32::cos(angles.y);

    let pos_x = pos_xz_factor * f32::sin(angles.x);
    let pos_z = pos_xz_factor * f32::cos(angles.x);

    let pos = glam::Vec3::new(pos_x, pos_y, pos_z) * length;

    pos

}

================================================
FILE: src/models/graphics_lib/camera_controls.rs
================================================
use std::f32::consts::{PI};
use egui::{Key, Pos2, Ui, Vec2};
use crate::models::graphics_lib::Camera;

pub struct Controls {

    // 鼠标指针位置，存在时为 Some
    pub pointer_pos: Option<Pos2>,

    is_pointer_press_inside: bool,

    // 鼠标事件
    primary_clicked: bool,
    primary_down: bool,
    secondary_down: bool,

    // 滚轮 delta
    scroll_delta: Vec2,

    // 鼠标指针 delta
    pointer_delta: Vec2,

    // 视图大小
    viewport_size: Vec2,

    pub is_update: bool,
    pub is_pointer_update: bool,

}

impl Controls {

    pub fn new() -> Self {
        Self {
            pointer_pos: None,
            is_pointer_press_inside: false,
            primary_clicked: false,
            primary_down: false,
            secondary_down: false,
            scroll_delta: Vec2::ZERO,
            pointer_delta: Vec2::ZERO,
            viewport_size: Vec2::ZERO,
            is_update: true,
            is_pointer_update: false,
        }
    }

}

impl Controls {

    // 传入 egui Ui，更新交互
    // 该函数在 viewport 更新后，渲染开始前调用
    pub fn update_interaction(&mut self, ui: &mut Ui, is_hover: bool) {

        // 归零参数
        self.pointer_pos = None;
        self.primary_clicked = false;

        // 记录滚动 delta、指针位置 delta
        self.scroll_delta = ui.input().scroll_delta;
        self.pointer_delta = ui.input().pointer.delta();

        // 从当前的 Ui 中获取 viewport_rect
        // viewport_rect 记录了绘图区域的左上角、右下角
        let viewport_rect = ui.max_rect();
        self.viewport_size = viewport_rect.size();

        // 如果鼠标指针在应用区域内，获取指针位置
        // 注：egui 的 interact_pos 是 Option<Pos2> 类型
        // 仅当鼠标指针在应用窗口范围内，或拖动至 native 应用外是为 Some
        if let Some(pos) = ui.input().pointer.interact_pos() {

            let mut is_pointer_press_inside = false;

            // 如果鼠标指针在绘图区域内
            if viewport_rect.contains(pos) && is_hover {

                // 记录鼠标指针在绘图区域的相对位置
                // 范围是 0, 0 至 width, height
                let new_pos = pos - viewport_rect.min.to_vec2();
                if self.pointer_pos != Some(new_pos) {
                    self.pointer_pos = Some(new_pos);
                    self.is_pointer_update = true;
                }

                is_pointer_press_inside = true;

            }

            // 鼠标事件记录
            // 若有事件，标记交互已更新

            if ui.input().pointer.primary_clicked() {
                self.primary_clicked = true;
            }

            if ui.input().pointer.primary_down() {
                if !self.primary_down {
                    self.is_pointer_press_inside = is_pointer_press_inside;
                    self.primary_down = true;
                }
            }

            if ui.input().pointer.secondary_down() {
                if !self.secondary_down {
                    self.is_pointer_press_inside = is_pointer_press_inside;
                    self.secondary_down = true;
                }
            }

        }

        // 鼠标事件归零

        if !ui.input().pointer.primary_down() {
            self.primary_down = false;
        }

        if !ui.input().pointer.secondary_down() {
            self.secondary_down = false;
        }

    }

    pub fn update_camera(&mut self, ui: &mut Ui, camera: &mut Camera) {

        // 滚轮缩放
        // 如果鼠标指针在绘图区域内，且当前帧滚轮纵向 delta 不为零
        // 用滚轮纵向 delta 缩放相机
        if self.pointer_pos.is_some() && self.scroll_delta.y != 0.0 {

            // 相机 zoom 函数的传入参数为缩放比例
            // 须满足偏移量累加时缩放比例累乘，故偏移量为常量的指数
            camera.zoom(f32::powf(1.2, -self.scroll_delta.y * 0.03) );
            self.is_update = true;

        }

        if ui.input().key_down(Key::Minus) {
            camera.zoom(f32::powf(1.2, 0.03) );
            self.is_update = true;
        }
        if ui.input().key_pressed(Key::Minus) && ui.input().key_released(Key::Minus) {
            camera.zoom(f32::powf(1.2, 1.0) );
            self.is_update = true;
        }
        if ui.input().key_down(Key::PlusEquals) {
            camera.zoom(f32::powf(1.2, -0.03) );
            self.is_update = true;
        }
        if ui.input().key_pressed(Key::PlusEquals) && ui.input().key_released(Key::PlusEquals) {
            camera.zoom(f32::powf(1.2, -1.0) );
            self.is_update = true;
        }
        if ui.input().key_pressed(Key::Num9) {
            camera.rotate(glam::Vec2::new(0.03, 0.0) * PI);
            self.is_update = true;
        }
        if ui.input().key_pressed(Key::Num0) {
            camera.rotate(glam::Vec2::new(-0.03, 0.0) * PI);
            self.is_update = true;
        }

        if !self.is_pointer_press_inside { return; }

        // 右键上下缩放
        // 如果鼠标右键在绘图区域内按下，且鼠标指针纵向 delta 不为零
        // 用鼠标指针纵向 delta 缩放相机
        if self.secondary_down && self.pointer_delta.y != 0.0 {

            // 原理同滚轮缩放
            camera.zoom(f32::powf(1.2, -self.pointer_delta.y * 0.03) );
            self.is_update = true;

        }

        // 左键旋转
        // 如果鼠标左键在绘图区域内按下
        // 用鼠标指针的 x、y delta 在绘图区域的占比计算旋转角度，旋转相机
        if self.primary_down && (self.pointer_delta.x != 0.0 || self.pointer_delta.y != 0.0) {

            let mut angles = glam::Vec2::new(self.pointer_delta.x, self.pointer_delta.y);

            // 从绘图区域的最左拖动至最右，相机绕 y 轴旋转 PI
            // 从绘图区域的中央拖动至上中，相机绕 x 轴旋转 PI * 0.5
            angles = angles / glam::Vec2::new(self.viewport_size.x, self.viewport_size.y) * PI;

            camera.rotate(angles);
            self.is_update = true;

        }
    }

}

================================================
FILE: src/models/graphics_lib/compute_shader.rs
================================================
use std::sync::Arc;
use egui::epaint::ahash::HashMap;
use wgpu::{Device, ShaderModule, BindGroupLayoutEntry};

pub struct ComputeShader {
    pub shader: ShaderModule,
    pub device: Arc<Device>,
    pub kernels: HashMap<String, ComputeKernel>
}

pub struct ComputeBuffer<'a> {
    pub(crate) binding:        u32,
    pub(crate) buffer_type:    ComputeBufferType,
    pub(crate) buffer:         wgpu::BindingResource<'a>
}

pub enum ComputeBufferType {
    Storage,
    Uniform,
    StorageReadOnly,
}

impl ComputeShader {
    // pub fn create_pipeline(&mut self, entry_point: &str) -> ComputePipeline {
    //     let compute_pipeline = self.device.create_compute_pipeline(&wgpu::ComputePipelineDescriptor {
    //         label: Some("Gen Node Pipeline"),
    //         layout: Some(&self.pipeline_layout),
    //         module: &self.shader,
    //         entry_point,
    //     });
    //
    //     compute_pipeline
    // }

    pub fn create_compute_kernel(&mut self, entry_point: &str, buffers: Vec<ComputeBuffer>) {

        let bind_group_layout = self.device.create_bind_group_layout(&wgpu::BindGroupLayoutDescriptor {
            entries: buffers.iter().map(|compute_buffer| BindGroupLayoutEntry {
                binding: compute_buffer.binding,
                visibility: wgpu::ShaderStages::COMPUTE,
                ty: wgpu::BindingType::Buffer {
                    ty: match compute_buffer.buffer_type {
                        ComputeBufferType::Storage => wgpu::BufferBindingType::Storage { read_only: false },
                        ComputeBufferType::Uniform => wgpu::BufferBindingType::Uniform,
                        ComputeBufferType::StorageReadOnly => wgpu::BufferBindingType::Storage { read_only: true },
                    },
                    has_dynamic_offset: false,
                    min_binding_size: None,
                },
                count: None,
            })
            .collect::<Vec<_>>()
            .as_slice(),
            label: None,
        });

        let bind_group = self.device.create_bind_group(&wgpu::BindGroupDescriptor {
            layout: &bind_group_layout,
            entries: buffers.iter().map(|compute_buffer| wgpu::BindGroupEntry {
                binding: compute_buffer.binding,
                resource: compute_buffer.buffer.clone(),
            })
            .collect::<Vec<_>>()
            .as_slice(),
            label: None,
        });

        let pipeline_layout = self.device.create_pipeline_layout(&wgpu::PipelineLayoutDescriptor {
            label: Some(&*(entry_point.to_owned() + " pipeline layout")),
            bind_group_layouts: &[&bind_group_layout],
            push_constant_ranges: &[],
        });

        let compute_pipeline = self.device.create_compute_pipeline(&wgpu::ComputePipelineDescriptor {
            label: Some(&*(entry_point.to_owned() + " pipeline")),
            layout: Some(&pipeline_layout),
            module: &self.shader,
            entry_point,
        });

        let compute_kernel = ComputeKernel {
            bind_group,
            compute_pipeline
        };

        self.kernels.insert(
            entry_point.parse().unwrap(),
            compute_kernel
        );

    }
}

pub struct ComputeKernel {
    pub bind_group: wgpu::BindGroup,
    pub compute_pipeline: wgpu::ComputePipeline
}

================================================
FILE: src/models/graphics_lib/mod.rs
================================================
pub mod camera;
pub mod texture;
pub mod camera_controls;
pub mod render_pipeline;
pub mod buffer_dimensions;
pub mod bind_group_layout;
pub mod compute_shader;
pub mod unifrom;

pub use {
    camera::Camera,
    texture::Texture,
    camera_controls::Controls,
    render_pipeline::RenderPipeline,
    buffer_dimensions::BufferDimensions,
};

================================================
FILE: src/models/graphics_lib/render_pipeline.rs
================================================
use crate::constant::{CAST_TEXTURE_FORMAT, DEPTH_FORMAT, MULTISAMPLE_STATE, TEXTURE_FORMAT};

pub struct RenderPipeline {
    pub render_pipeline: wgpu::RenderPipeline,
}

impl RenderPipeline {

    pub fn create_node_render_pipeline( device: &wgpu::Device, layouts: &[&wgpu::BindGroupLayout], node_shader: &wgpu::ShaderModule, is_cast: bool ) -> Self {

        let node_render_pipeline_layout = device.create_pipeline_layout(&wgpu::PipelineLayoutDescriptor {
            label: Some("node render"),
            bind_group_layouts: layouts,
            push_constant_ranges: &[],
        });

        let render_pipeline = device.create_render_pipeline(&wgpu::RenderPipelineDescriptor {
            label: None,
            layout: Some(&node_render_pipeline_layout),
            vertex: wgpu::VertexState {
                module: &node_shader,
                entry_point: if !is_cast { "main_vs" } else { "cast_vs" },
                buffers: &[
                    wgpu::VertexBufferLayout {
                        array_stride: 2 * 4,
                        step_mode: wgpu::VertexStepMode::Vertex,
                        attributes: &wgpu::vertex_attr_array![0 => Float32x2],
                    },
                ],
            },
            fragment: Some(wgpu::FragmentState {
                module: &node_shader,
                entry_point: if !is_cast { "main_fs" } else { "cast_fs" },
                targets: &[Some(wgpu::ColorTargetState {
                    format: if !is_cast { TEXTURE_FORMAT } else { CAST_TEXTURE_FORMAT },
                    blend: if !is_cast { Some(wgpu::BlendState {
                        color: wgpu::BlendComponent {
                            src_factor: wgpu::BlendFactor::SrcAlpha,
                            dst_factor: wgpu::BlendFactor::OneMinusSrcAlpha,
                            operation: wgpu::BlendOperation::Add,
                        },
                        alpha: wgpu::BlendComponent {
                            src_factor: wgpu::BlendFactor::One,
                            dst_factor: wgpu::BlendFactor::OneMinusSrcAlpha,
                            operation: wgpu::BlendOperation::Add,
                        },
                    }) } else { None },
                    write_mask: wgpu::ColorWrites::ALL,
                })],
            }),
            primitive: wgpu::PrimitiveState {
                topology: wgpu::PrimitiveTopology::TriangleStrip,
                front_face: wgpu::FrontFace::Ccw,
                ..Default::default()
            },
            depth_stencil: Some(wgpu::DepthStencilState {
                format: DEPTH_FORMAT,
                // depth_write_enabled: false,
                // depth_compare: wgpu::CompareFunction::Always, // 1.
                depth_write_enabled: true,
                depth_compare: wgpu::CompareFunction::Less, // 1.
                stencil: wgpu::StencilState::default(), // 2.
                bias: wgpu::DepthBiasState::default(),
            }),
            multisample: if !is_cast { MULTISAMPLE_STATE } else { wgpu::MultisampleState::default() },
            multiview: None,
        });

        Self {
            render_pipeline,
        }

    }

    pub fn create_edge_render_pipeline( device: &wgpu::Device, layouts: &[&wgpu::BindGroupLayout],  edge_shader: &wgpu::ShaderModule, is_cast: bool ) -> Self {

        let edge_render_pipeline_layout = device.create_pipeline_layout(&wgpu::PipelineLayoutDescriptor {
            label: Some("edge render"),
            bind_group_layouts: layouts,
            push_constant_ranges: &[],
        });

        let render_pipeline = device.create_render_pipeline(&wgpu::RenderPipelineDescriptor {
            label: None,
            layout: Some(&edge_render_pipeline_layout),
            vertex: wgpu::VertexState {
                module: &edge_shader,
                entry_point: if !is_cast { "main_vs" } else { "cast_vs" },
                buffers: &[
                    wgpu::VertexBufferLayout {
                        array_stride: 2 * 4,
                        step_mode: wgpu::VertexStepMode::Vertex,
                        attributes: &wgpu::vertex_attr_array![0 => Float32x2],
                    },
                ],
            },
            fragment: Some(wgpu::FragmentState {
                module: &edge_shader,
                entry_point: if !is_cast { "main_fs" } else { "cast_fs" },
                targets: &[Some(wgpu::ColorTargetState {
                    format: if !is_cast { TEXTURE_FORMAT } else { CAST_TEXTURE_FORMAT },
                    blend: if !is_cast { Some(wgpu::BlendState {
                        color: wgpu::BlendComponent {
                            src_factor: wgpu::BlendFactor::SrcAlpha,
                            dst_factor: wgpu::BlendFactor::OneMinusSrcAlpha,
                            operation: wgpu::BlendOperation::Add,
                        },
                        alpha: wgpu::BlendComponent {
                            src_factor: wgpu::BlendFactor::One,
                            dst_factor: wgpu::BlendFactor::OneMinusSrcAlpha,
                            operation: wgpu::BlendOperation::Add,
                        },
                    }) } else { None },
                    write_mask: wgpu::ColorWrites::ALL,
                })],
            }),
            primitive: wgpu::PrimitiveState {
                topology: wgpu::PrimitiveTopology::TriangleStrip,
                front_face: wgpu::FrontFace::Ccw,
                ..Default::default()
            },
            depth_stencil: Some(wgpu::DepthStencilState {
                format: DEPTH_FORMAT,
                depth_write_enabled: false,
                depth_compare: wgpu::CompareFunction::Less, // 1.
                stencil: wgpu::StencilState::default(), // 2.
                bias: wgpu::DepthBiasState::default(),
            }),
            multisample: if !is_cast { MULTISAMPLE_STATE } else { wgpu::MultisampleState::default() },
            multiview: None,
        });

        Self {
            render_pipeline,
        }

    }

    pub fn create_axis_render_pipeline( device: &wgpu::Device, layouts: &[&wgpu::BindGroupLayout], axis_shader: &wgpu::ShaderModule ) -> Self {

        let axis_render_pipeline_layout = device.create_pipeline_layout(&wgpu::PipelineLayoutDescriptor {
            label: Some("axis render"),
            bind_group_layouts: layouts,
            push_constant_ranges: &[],
        });

        let render_pipeline = device.create_render_pipeline(&wgpu::RenderPipelineDescriptor {
            label: None,
            layout: Some(&axis_render_pipeline_layout),
            vertex: wgpu::VertexState {
                module: &axis_shader,
                entry_point: "main_vs",
                buffers: &[
                    wgpu::VertexBufferLayout {
                        array_stride: 2 * 4,
                        step_mode: wgpu::VertexStepMode::Vertex,
                        attributes: &wgpu::vertex_attr_array![0 => Float32x2],
                    },
                ],
            },
            fragment: Some(wgpu::FragmentState {
                module: &axis_shader,
                entry_point: "main_fs",
                targets: &[Some(wgpu::ColorTargetState {
                    format: TEXTURE_FORMAT,
                    blend: Some(wgpu::BlendState {
                        color: wgpu::BlendComponent {
                            src_factor: wgpu::BlendFactor::SrcAlpha,
                            dst_factor: wgpu::BlendFactor::OneMinusSrcAlpha,
                            operation: wgpu::BlendOperation::Add,
                        },
                        alpha: wgpu::BlendComponent {
                            src_factor: wgpu::BlendFactor::SrcAlpha,
                            dst_factor: wgpu::BlendFactor::OneMinusSrcAlpha,
                            operation: wgpu::BlendOperation::Add,
                        },
                        // alpha: wgpu::BlendComponent::OVER,
                    }),
                    write_mask: wgpu::ColorWrites::ALL,
                })],
            }),
            primitive: wgpu::PrimitiveState {
                topology: wgpu::PrimitiveTopology::TriangleStrip,
                front_face: wgpu::FrontFace::Ccw,
                ..Default::default()
            },
            depth_stencil: Some(wgpu::DepthStencilState {
                format: DEPTH_FORMAT,
                depth_write_enabled: true,
                depth_compare: wgpu::CompareFunction::Less, // 1.
                stencil: wgpu::StencilState::default(), // 2.
                bias: wgpu::DepthBiasState::default(),
            }),
            // depth_stencil: None,
            multisample: MULTISAMPLE_STATE,
            multiview: None,
        });

        Self {
            render_pipeline,
        }

    }

    pub fn create_bounding_box_render_pipeline( device: &wgpu::Device, layouts: &[&wgpu::BindGroupLayout], bounding_box_shader: &wgpu::ShaderModule ) -> Self {

        let render_pipeline_layout = device.create_pipeline_layout(&wgpu::PipelineLayoutDescriptor {
            label: Some("bound render"),
            bind_group_layouts: layouts,
            push_constant_ranges: &[],
        });

        let render_pipeline = device.create_render_pipeline(&wgpu::RenderPipelineDescriptor {
            label: None,
            layout: Some(&render_pipeline_layout),
            vertex: wgpu::VertexState {
                module: &bounding_box_shader,
                entry_point: "main_vs",
                buffers: &[
                    wgpu::VertexBufferLayout {
                        array_stride: 3 * 4,
                        step_mode: wgpu::VertexStepMode::Vertex,
                        attributes: &wgpu::vertex_attr_array![0 => Float32x3],
                    },
                ],
            },
            fragment: Some(wgpu::FragmentState {
                module: &bounding_box_shader,
                entry_point: "main_fs",
                targets: &[Some(wgpu::ColorTargetState {
                    format: TEXTURE_FORMAT,
                    blend: Some(wgpu::BlendState {
                        color: wgpu::BlendComponent {
                            src_factor: wgpu::BlendFactor::SrcAlpha,
                            dst_factor: wgpu::BlendFactor::OneMinusSrcAlpha,
                            operation: wgpu::BlendOperation::Add,
                        },
                        alpha: wgpu::BlendComponent {
                            src_factor: wgpu::BlendFactor::One,
                            dst_factor: wgpu::BlendFactor::OneMinusSrcAlpha,
                            operation: wgpu::BlendOperation::Add,
                        },
                        // alpha: wgpu::BlendComponent::OVER,
                    }),
                    write_mask: wgpu::ColorWrites::ALL,
                })],
            }),
            primitive: wgpu::PrimitiveState {
                topology: wgpu::PrimitiveTopology::LineList,
                front_face: wgpu::FrontFace::Ccw,
                ..Default::default()
            },
            depth_stencil: Some(wgpu::DepthStencilState {
                format: DEPTH_FORMAT,
                depth_write_enabled: true,
                depth_compare: wgpu::CompareFunction::Less, // 1.
                stencil: wgpu::StencilState::default(), // 2.
                bias: wgpu::DepthBiasState::default(),
            }),
            // depth_stencil: None,
            multisample: MULTISAMPLE_STATE,
            multiview: None,
        });

        Self {
            render_pipeline,
        }

    }

}

================================================
FILE: src/models/graphics_lib/texture.rs
================================================
use crate::constant::{CAST_TEXTURE_FORMAT, DEPTH_FORMAT, TEXTURE_FORMAT};

pub struct Texture {
    pub texture: wgpu::Texture,
    pub view: wgpu::TextureView,
    pub sampler: Option<wgpu::Sampler>,
}

impl Texture {

    pub fn create_depth_texture(device: &wgpu::Device, size: &wgpu::Extent3d, label: &str, is_multisample: bool) -> Self {
        let size = wgpu::Extent3d { // 2.
            width: size.width,
            height: size.height,
            depth_or_array_layers: 1,
        };
        let desc = wgpu::TextureDescriptor {
            label: Some(label),
            size,
            mip_level_count: 1,
            sample_count: if is_multisample { 4 } else { 1 },
            dimension: wgpu::TextureDimension::D2,
            format: DEPTH_FORMAT,
            usage: wgpu::TextureUsages::RENDER_ATTACHMENT // 3.
                | wgpu::TextureUsages::TEXTURE_BINDING,
        };
        let texture = device.create_texture(&desc);

        let view = texture.create_view(&wgpu::TextureViewDescriptor::default());
        let sampler = device.create_sampler(
            &wgpu::SamplerDescriptor { // 4.
                address_mode_u: wgpu::AddressMode::ClampToEdge,
                address_mode_v: wgpu::AddressMode::ClampToEdge,
                address_mode_w: wgpu::AddressMode::ClampToEdge,
                mag_filter: wgpu::FilterMode::Linear,
                min_filter: wgpu::FilterMode::Linear,
                mipmap_filter: wgpu::FilterMode::Nearest,
                compare: Some(wgpu::CompareFunction::LessEqual), // 5.
                lod_min_clamp: -100.0,
                lod_max_clamp: 100.0,
                ..Default::default()
            }
        );

        Self { texture, view, sampler: Some(sampler) }
    }

    pub fn create_texture(device: &wgpu::Device, size: &wgpu::Extent3d, sample_count: u32, is_cast: bool) -> Self {
        let size = wgpu::Extent3d { // 2.
            width: size.width,
            height: size.height,
            depth_or_array_layers: 1,
        };
        let desc = wgpu::TextureDescriptor {
            size,
            mip_level_count: 1,
            sample_count,
            dimension: wgpu::TextureDimension::D2,
            format: if !is_cast { TEXTURE_FORMAT} else { CAST_TEXTURE_FORMAT },
            usage: wgpu::TextureUsages::RENDER_ATTACHMENT
                | wgpu::TextureUsages::COPY_SRC
                | wgpu::TextureUsages::TEXTURE_BINDING,
            label: None,
        };

        let texture = device.create_texture(&desc);

        let view = texture.create_view(&wgpu::TextureViewDescriptor::default());

        Self { texture, view, sampler: None }
    }

}

================================================
FILE: src/models/graphics_lib/unifrom.rs
================================================
use bytemuck::{Pod, Zeroable};
use crate::models::graphics_lib::Camera;

#[repr(C)]
#[derive(Copy, Clone, Debug, PartialEq, Pod, Zeroable)]
pub struct Uniforms {
    view:       [f32; 16],
    projection: [f32; 16],
    time:       [f32; 4],
    screen:     [f32; 4],
    camera:     [f32; 4],
}

pub fn generate_uniforms(
    camera: &Camera,
    viewport_size: glam::Vec2,
    pointer_pos: glam::Vec2
) -> Uniforms {
    Uniforms {
        view:       *camera.view_matrix.as_ref(),
        projection: *camera.projection_matrix.as_ref(),
        time:       [0.0, 0.0, 0.0, 0.0],
        screen:
        [
            viewport_size.x as f32,
            viewport_size.y as f32,
            pointer_pos.x,
            pointer_pos.y,
        ],
        camera:
        [
            camera.aspect_ratio as f32,
            camera.zoom_factor  as f32,
            camera.near_far.x,
            camera.near_far.y
        ],
    }
}


================================================
FILE: src/models/graphics_model.rs
================================================
#![allow(dead_code)]
#![allow(unused_variables)]

use std::borrow::{Cow};
use std::mem;
use chrono::{Local, Utc};
use egui::{Ui, Vec2};
use glam::Vec3;
use wgpu::{Queue, ShaderModule, ComputePass};
use wgpu::util::DeviceExt;
use crate::models::data_model::GraphicsStatus;
use crate::models::graphics_lib::{BufferDimensions, Camera, Controls, RenderPipeline, Texture};

use rayon::prelude::*;
use crate::models::graphics_lib::bind_group_layout::BindGroupLayout;
use crate::models::graphics_lib::compute_shader::{ComputeBuffer, ComputeBufferType, ComputeKernel, ComputeShader};
use crate::models::graphics_lib::unifrom::{generate_uniforms, Uniforms};
use crate::utils::file::create_png;

use super::data_model::DataModel;
use bytemuck::{Pod, Zeroable};
use crate::utils::message::{message_error, message_warning};

// 须同步修改 Compute WGSL 中每一个函数的 @workgroup_size
// WGSL 中没有宏，不能使用类似 HLSL 的 #define 方法
const PARTICLES_PER_GROUP: u32 = 256;


// 须同步修改各个 WGSL 中的 Node struct
#[repr(C)]
pub struct Node {
    _position:      [f32; 3],
    _force:         [f32; 3],
    _prev_force:    [f32; 3],
    _mass:          u32,
}

#[repr(C)]
pub struct Bound {
    _bound_min: [f32; 3],
    _bound_max: [f32; 3],
}

#[repr(C)]
pub struct BHTree {
    _max_depth: u32,
    _bottom:    u32,
    _radius:    f32,
    _empty:     i32,
}

#[repr(C)]
#[derive(Clone, Copy, bytemuck::Zeroable, bytemuck::Pod)]
pub struct BHTreeNode {
    _position:  [f32; 4],
    _mass:      i32,
    _count:     i32,
    _start:     i32,
    _sort:      i32,
}

#[repr(C)]
#[derive(Copy, Clone, Debug, PartialEq, Pod, Zeroable)]
pub struct ComputeUniforms {
    frame_num:          u32,
    node_count:         u32,
    edge_count:         u32,
    edge_sort_count:    u32,
    tree_node_count:    u32,
    bounding_count:     u32,
    kernel_status_count: u32,
}

#[repr(C)]
#[derive(Copy, Clone, Debug, PartialEq, Pod, Zeroable)]
pub struct EdgeSort {
    _node:      [u32; 4],
    _force:     [f32; 4],
}

pub const KERNEL_STATUS_COUNT: usize = 5;
pub const KERNEL_NAMES: [&str; KERNEL_STATUS_COUNT] = [
    "attractive_force",
    "tree_building",
    "summarization",
    "sort",
    "electron_force",
];

// 计算方法的类型
// Continuous 为需要连续迭代模拟的方法，如 Force Atlas 2
// OneStep 为单次方法，如 Randomize
#[derive(PartialEq)]
pub enum ComputeMethodType {
    Continuous,
    OneStep,
}

// ComputeMethod 结构体，包含名字、类型
#[derive(PartialEq)]
pub struct ComputeMethod(pub &'static str, pub ComputeMethodType);

// 计算方法列表
impl ComputeMethod {
    pub const FORCE_ATLAS2: ComputeMethod = ComputeMethod("Force Atlas 2", ComputeMethodType::Continuous);
    pub const RANDOMIZE: ComputeMethod = ComputeMethod("Randomize", ComputeMethodType::OneStep);
}

// 绘图 Model，存放计算状态与计算资源
pub struct GraphicsModel {
    pub is_computing: bool,
    pub is_dispatching: bool,
    pub is_hover_graphics_view: bool,
    pub compute_render_state: egui_wgpu::RenderState,
    pub graphics_resources: GraphicsResources,
}

impl GraphicsModel {

    // 初始化计算 Model，传入 eframe 初始化中的 render_state
    // 仅启动时调用一次
    pub fn init(cc: &eframe::CreationContext) -> Self {
        Self {
            is_computing: false,
            is_dispatching: false,
            is_hover_graphics_view: false,
            compute_render_state: cc.wgpu_render_state.as_ref().unwrap().clone(),
            graphics_resources: GraphicsResources::new(cc.wgpu_render_state.as_ref().unwrap().clone()),
        }
    }

    // 重置计算 Model，dispose 并删除计算资源
    pub fn reset(&mut self) {
        self.graphics_resources.dispose();
    }
}

impl GraphicsModel {

    // 切换是否持续计算
    // 仅对 ComputeMethodType::Continuous 生效
    pub fn switch_computing(&mut self) {
        self.is_computing = !self.is_computing;
        if self.is_computing { self.cancel_error_state() }
    }

    // 设置是否持续计算
    // 仅对 ComputeMethodType::Continuous 生效
    pub fn set_computing(&mut self, state: bool) {
        self.is_computing = state;
        if state { self.cancel_error_state() }
    }

    // 设置下一帧是否 Dispatch
    // 仅对 ComputeMethodType::OneStep 生效
    pub fn set_dispatching(&mut self, state: bool) {
        self.is_dispatching = state;
    }

    pub fn cancel_error_state(&mut self) {
        if self.graphics_resources.graph_resources.is_some() {
            self.graphics_resources.graph_resources.as_mut().unwrap().is_kernel_error = false
        }
    }

    pub fn render_output(&mut self, out_folder:String) {
        let graphics_resources = &mut self.graphics_resources;

        graphics_resources.prepare_output();
        graphics_resources.render();
        graphics_resources.output_png_after_render(out_folder.to_owned());

    }
}

pub struct RenderOptions {
    pub is_rendering_node: bool,
    pub is_rendering_edge: bool,
    pub is_rendering_axis: bool,
    pub is_rendering_bounding_box: bool,
    pub is_showing_debug:  bool,
}

pub struct ComputePipelines {
    gen_node:              ComputeKernel,
    cal_mass:              ComputeKernel,
    cal_gravity:           ComputeKernel,
    attractive_force:      ComputeKernel,
    reduction_bounding:    ComputeKernel,
    reduction_bounding_2:  ComputeKernel,
    bounding_box:          ComputeKernel,
    clear_1:               ComputeKernel,
    tree_building:         ComputeKernel,
    clear_2:               ComputeKernel,
    summarization:         ComputeKernel,
    sort:                  ComputeKernel,
    electron_force:        ComputeKernel,
    compute:               ComputeKernel,
    displacement:          ComputeKernel,
    randomize:             ComputeKernel,
    copy:                  ComputeKernel,
    cal_depth:             ComputeKernel,
    sort_by_depth:         ComputeKernel,
}

pub enum CastType {
    Node,
    Edge
}

// 绘图资源 Model，存放和计算和绘图相关的一切资源
pub struct GraphicsResources {

    // 包含 Device、Queue、target_format 和 egui_rpass
    render_state:                   egui_wgpu::RenderState,

    // 视口大小
    viewport_size:                  egui::Vec2,

    viewport_texture_extent:        wgpu::Extent3d,
    viewport_texture:               Option<Texture>,
    viewport_msaa_texture:          Option<Texture>,
    viewport_depth_texture:         Option<Texture>,

    pub viewport_texture_id:        egui::TextureId,

    is_render_output:               bool,

    output_texture_extent:          wgpu::Extent3d,
    output_texture:                 Option<Texture>,
    output_msaa_texture:            Option<Texture>,
    output_depth_texture:           Option<Texture>,

    cast_texture_extent:          wgpu::Extent3d,
    cast_texture:                 Option<Texture>,
    cast_depth_texture:           Option<Texture>,

    axis_render_pipeline:           wgpu::RenderPipeline,

    // 相机
    camera:                         Camera,
    pub control:                    Controls,

    // Buffers
    quad_buffer:                    wgpu::Buffer,
    render_uniform_buffer:          wgpu::Buffer,
    bounding_box_vertex_buffer:     wgpu::Buffer,
    bounding_box_index_buffer:      wgpu::Buffer,

    render_uniform_bind_group_layout: wgpu::BindGroupLayout,
    render_uniform_bind_group:      wgpu::BindGroup,

    pub compute_frame_count:        u32,                      // 帧计数器
    pub render_frame_count:         u32,                      // 帧计数器
    last_time:                      i64,                      // 上次记录时间
    last_frame:                     u32,                      // 上次记录帧数
    pub frames_per_second:          f64,                      // FPS

    pub render_options:             RenderOptions,
    pub need_update:                bool,

    pub cast_type:                  Option<CastType>,
    pub cast_value:                 u32,

    pub shaders:                    Vec<ShaderModule>,
    pub compute_shader:             ComputeShader,

    pub graph_resources:            Option<GraphResources>,
}

pub struct GraphResources {

    // 包含 Node / Edge Count
    pub status:                     GraphicsStatus,

    uniform_buffer:                 wgpu::Buffer,
    node_buffer:                    wgpu::Buffer,
    node_copy_buffer:               wgpu::Buffer,
    node_edge_sort_range_buffer:    wgpu::Buffer,
    edge_buffer:                    wgpu::Buffer,
    edge_sort_node_buffer:          wgpu::Buffer,
    edge_sort_dir_buffer:           wgpu::Buffer,
    bounding_buffer:                wgpu::Buffer,
    tree_buffer:                    wgpu::Buffer,
    tree_node_buffer:               wgpu::Buffer,
    tree_child_buffer:              wgpu::Buffer,
    depth_sort_buffer:              wgpu::Buffer,
    depth_sort_param_buffer:        wgpu::Buffer,
    kernel_status_buffer:           wgpu::Buffer,

    // Bind Group
    node_render_bind_group:         wgpu::BindGroup,
    edge_render_bind_group:         wgpu::BindGroup,
    bounding_box_render_bind_group: wgpu::BindGroup,


    pub debugger:                   GraphicsDebugger,
    pub buffer_bytes:               Option<Vec<u8>>,

    node_render_pipeline:           wgpu::RenderPipeline,
    node_cast_render_pipeline:      wgpu::RenderPipeline,
    edge_render_pipeline:           wgpu::RenderPipeline,
    edge_cast_render_pipeline:      wgpu::RenderPipeline,
    bounding_box_render_pipeline:   wgpu::RenderPipeline,

    // 计算管线
    pub kernel_status_codes:        Vec<i32>,
    pub is_kernel_error:            bool,

    // 线程组数 = 线程数 / 每组线程数
    node_work_group_count:          u32,
    edge_work_group_count:          u32,
    edge_sort_work_group_count:     u32,
    tree_node_work_group_count:     u32,
    step_work_group_count:          u32,
    bb_work_group_count:            u32,
}

pub struct GraphicsDebugger {
    debug_buffer:    wgpu::Buffer,
    buffer_size:     u32,
}

impl GraphicsResources {

    // 在导入数据后调用的方法，初始化计算和绘图的资源
    pub fn new(render_state: egui_wgpu::RenderState) -> Self {


        // 从 render_state 中获取 wgpu 的 device 和 queue
        let device = &render_state.device;
        let _queue = &render_state.queue;

        // 从文件中创建 Shader

        let shader_files = [
            include_str!("../assets/shaders/S_node.wgsl"),
            include_str!("../assets/shaders/S_edge.wgsl"),
            include_str!("../assets/shaders/S_axis.wgsl"),
            include_str!("../assets/shaders/S_bounding_box.wgsl"),
            include_str!("../assets/shaders/CS_graph_solver.wgsl"),
        ];

        let mut shaders = shader_files.par_iter().map(|shader_file| unsafe {

            let shader = device.create_shader_module_unchecked(wgpu::ShaderModuleDescriptor {
                label: None,
                source: wgpu::ShaderSource::Wgsl(Cow::Borrowed(shader_file)),
            });

            shader

        }).collect::<Vec<ShaderModule>>();

        let compute_shader = shaders.pop().unwrap();

        let render_uniform_bind_group_layout =      BindGroupLayout::create_render_uniform_bind_group_layout(device).bing_group_layout;

        let axis_shader = &shaders[2];

        let axis_render_pipeline = RenderPipeline::create_axis_render_pipeline(
            device,
            &[&render_uniform_bind_group_layout],
            axis_shader
        ).render_pipeline;



        // Quad 顶点数据
        let vertex_buffer_data =
            [
                // 0
                -1.0f32, -1.0,
                // 1
                1.0, -1.0,
                // 2
                -1.0, 1.0,
                // 3
                1.0, 1.0,
            ];

        // 创建 Quad Buffer 并传入数据
        let quad_buffer = device.create_buffer_init(&wgpu::util::BufferInitDescriptor {
            label: Some("Vertex Buffer"),
            contents: bytemuck::bytes_of(&vertex_buffer_data),
            usage: wgpu::BufferUsages::VERTEX | wgpu::BufferUsages::COPY_DST,
        });

        let vertex_buffer_data: &[f32] = &[
                -1.0, -1.0, -1.0,
                 1.0, -1.0, -1.0,
                -1.0,  1.0, -1.0,
                 1.0,  1.0, -1.0,
                -1.0, -1.0,  1.0,
                 1.0, -1.0,  1.0,
                -1.0,  1.0,  1.0,
                 1.0,  1.0,  1.0,
            ];

        let index_buffer_data: &[u16] = &[
            0, 1, 1, 3, 3, 2, 2, 0,
            0, 4, 1, 5, 2, 6, 3, 7,
            4, 5, 5, 7, 7, 6, 6, 4,
        ];

        let bounding_box_vertex_buffer = device.create_buffer_init(&wgpu::util::BufferInitDescriptor {
            label: Some("Vertex Buffer"),
            contents: bytemuck::cast_slice(&vertex_buffer_data),
            usage: wgpu::BufferUsages::VERTEX,
        });

        let bounding_box_index_buffer = device.create_buffer_init(&wgpu::util::BufferInitDescriptor {
            label: Some("Index Buffer"),
            contents: bytemuck::cast_slice(&index_buffer_data),
            usage: wgpu::BufferUsages::INDEX,
        });


        let camera = Camera::from(Vec3::new(3.0, 3.0, 6.0));
        let control = Controls::new();

        //
        let render_uniform_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Render Uniform Buffer"),
            size: mem::size_of::<Uniforms>() as _,
            usage: wgpu::BufferUsages::UNIFORM | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false
        });

        let render_uniform_bind_group = device.create_bind_group(&wgpu::BindGroupDescriptor {
            layout: &render_uniform_bind_group_layout,
            entries: &[
                wgpu::BindGroupEntry {
                    binding: 0,
                    resource: render_uniform_buffer.as_entire_binding(),
                },
            ],
            label: None,
        });

        let compute_shader = ComputeShader {
            shader: compute_shader,
            device: device.clone(),
            kernels: Default::default()
        };


        let graphics_resources = GraphicsResources {
            render_state,
            viewport_depth_texture: None,
            output_depth_texture: None,
            cast_texture_extent: Default::default(),
            cast_texture: None,
            viewport_texture: None,
            viewport_msaa_texture: None,
            output_texture: None,
            output_msaa_texture: None,
            viewport_texture_id: Default::default(),
            viewport_size: Default::default(),
            viewport_texture_extent: Default::default(),
            output_texture_extent: Default::default(),
            is_render_output: false,
            camera,
            control,
            quad_buffer,
            bounding_box_vertex_buffer,
            bounding_box_index_buffer,
            render_uniform_buffer,
            render_uniform_bind_group,
            axis_render_pipeline,
            compute_frame_count: 0,
            render_frame_count: 0,
            last_time: 0,
            last_frame: 0,
            frames_per_second: 0.0,
            render_options: RenderOptions {
                is_rendering_node: true,
                is_rendering_edge: true,
                is_rendering_axis: false,
                is_rendering_bounding_box: false,
                is_showing_debug: false
            },
            need_update: true,
            cast_depth_texture: None,
            cast_type: None,
            cast_value: 0,
            shaders,
            compute_shader,
            graph_resources: None,
            render_uniform_bind_group_layout
        };

        graphics_resources

    }

    pub fn init_data(&mut self, render_state: egui_wgpu::RenderState, model: &mut DataModel) {

        let device = &render_state.device;
        let _queue = &render_state.queue;

        let status = model.status.clone();


        // 从 Graphics Model 中获取 Node 和 Edge 的数量
        let node_count = model.status.node_count as u32;
        let edge_count = model.status.edge_count as u32;
        let edge_sort_count = (model.status.edge_count * 2) as u32;
        let tree_node_count = get_tree_node_count(&node_count);

        // Node 和 Edge 结构体的占内存大小，用于计算 Buffer 长度
        let node_struct_size = mem::size_of::<Node>();

        let shaders = &self.shaders;

        let node_shader = &shaders[0];
        let edge_shader = &shaders[1];
        let axis_shader = &shaders[2];
        let bounding_box_shader = &shaders[3];


        // Bind Group Layout
        // Bind Group 的布局，允许在布局不变的情况下更换 Bind Group 绑定的 Buffer

        let node_render_bind_group_layout =         BindGroupLayout::create_node_render_bind_group_layout(device).bing_group_layout;
        let edge_render_bind_group_layout =         BindGroupLayout::create_edge_render_bind_group_layout(device).bing_group_layout;
        let bounding_box_render_bind_group_layout = BindGroupLayout::create_bounding_box_render_bind_group_layout(device).bing_group_layout;


        // Render Pipeline
        // 渲染管线

        let node_render_pipeline = RenderPipeline::create_node_render_pipeline(
            device,
            &[&self.render_uniform_bind_group_layout, &node_render_bind_group_layout],
            node_shader,
            false,
        ).render_pipeline;

        let node_cast_render_pipeline = RenderPipeline::create_node_render_pipeline(
            device,
            &[&self.render_uniform_bind_group_layout, &node_render_bind_group_layout],
            node_shader,
            true,
        ).render_pipeline;

        let edge_render_pipeline = RenderPipeline::create_edge_render_pipeline(
            device,
            &[&self.render_uniform_bind_group_layout, &edge_render_bind_group_layout],
            edge_shader,
            false,
        ).render_pipeline;

        let edge_cast_render_pipeline = RenderPipeline::create_edge_render_pipeline(
            device,
            &[&self.render_uniform_bind_group_layout, &edge_render_bind_group_layout],
            edge_shader,
            true,
        ).render_pipeline;

        let bounding_box_render_pipeline = RenderPipeline::create_bounding_box_render_pipeline(
            device,
            &[&self.render_uniform_bind_group_layout, &bounding_box_render_bind_group_layout],
            bounding_box_shader
        ).render_pipeline;


        // 计算线程组数
        // 线程组数 = 线程数 / 每组线程数（取整）

        let node_work_group_count =
            ((node_count as f32) / (PARTICLES_PER_GROUP as f32)).ceil() as u32;

        let edge_work_group_count =
            ((edge_count as f32) / (PARTICLES_PER_GROUP as f32)).ceil() as u32;

        let edge_sort_work_group_count =
            ((edge_sort_count as f32) / (PARTICLES_PER_GROUP as f32)).ceil() as u32;

        let tree_node_work_group_count =
            (tree_node_count as f32 / (PARTICLES_PER_GROUP as f32)).ceil() as u32;

        let step_work_group_count =
            (std::cmp::min(node_count, 16384) as f32 / PARTICLES_PER_GROUP as f32).ceil() as u32;

        let bb_work_group_count =
            ((node_work_group_count as f32) / (PARTICLES_PER_GROUP as f32)).ceil() as u32;

        // Buffer 创建

        let compute_uniform = ComputeUniforms {
            frame_num: 0,
            node_count,
            edge_count,
            edge_sort_count,
            tree_node_count,
            bounding_count: node_work_group_count,
            kernel_status_count: KERNEL_NAMES.len() as u32,
        };

        // 创建 Uniform Buffer
        let uniform_buffer = device.create_buffer_init(&wgpu::util::BufferInitDescriptor {
            label: None,
            contents: bytemuck::cast_slice(&[compute_uniform]),
            usage: wgpu::BufferUsages::UNIFORM |
                wgpu::BufferUsages::COPY_DST,
        });


        // 计算对齐后的 Node Buffer 大小
        let node_buffer_size = pad_size(node_struct_size, node_count);

        // 指定大小，创建 Node Buffer，不初始化数据
        let node_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Node Buffer"),
            size: node_buffer_size,
            usage: wgpu::BufferUsages::VERTEX
                | wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false
        });

        // 计算对齐后的 Node Buffer 大小
        let node_copy_buffer_size = node_count * 3 * 4;

        // 指定大小，创建 Node Buffer，不初始化数据
        let node_copy_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Node Copy Buffer"),
            size: node_copy_buffer_size as _,
            usage: wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST
                | wgpu::BufferUsages::COPY_SRC,
            mapped_at_creation: false
        });

        let node_edge_sort_range_buffer_size = node_count * 2 * 4;

        let node_edge_sort_range_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Node Edge Sort Range Buffer"),
            size: node_edge_sort_range_buffer_size as _,
            usage: wgpu::BufferUsages::VERTEX
                | wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST
                | wgpu::BufferUsages::COPY_SRC,
            mapped_at_creation: false
        });

        let spring_force_buffer_size = node_count * 4 * 4;

        let spring_force_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Node Buffer"),
            size: spring_force_buffer_size as wgpu::BufferAddress,
            usage: wgpu::BufferUsages::VERTEX
                | wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false
        });

        let bounding_buffer_size = node_work_group_count * 8 * 4;

        let bounding_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Bounding Buffer"),
            size: bounding_buffer_size as wgpu::BufferAddress,
            usage: wgpu::BufferUsages::VERTEX
                | wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false
        });

        let depth_sort_buffer_size = node_count * 2 * 4;

        let depth_sort_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Depth Sort Buffer"),
            size: depth_sort_buffer_size as wgpu::BufferAddress,
            usage: wgpu::BufferUsages::VERTEX
                | wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false
        });

        let depth_sort_param_buffer_size = 2 * 4;

        let depth_sort_param_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Depth Sort Param Buffer"),
            size: depth_sort_param_buffer_size as wgpu::BufferAddress,
            usage: wgpu::BufferUsages::UNIFORM | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false
        });

        // 新建 Edge Buffer 并传入数据
        let edge_buffer = device.create_buffer_init(&wgpu::util::BufferInitDescriptor {
            label: Some("Edge Buffer"),
            contents: bytemuck::cast_slice(model.source_target_list.as_ref().unwrap()),
            usage: wgpu::BufferUsages::VERTEX
                | wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST,
        });

        let edge_sort_node_buffer_size = edge_sort_count * 2 * 4;

        let edge_sort_node_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Edge Sort Node Buffer"),
            size: edge_sort_node_buffer_size as _,
            usage: wgpu::BufferUsages::VERTEX
                | wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST
                | wgpu::BufferUsages::COPY_SRC,
            mapped_at_creation: false
        });

        let edge_sort_dir_buffer_size = edge_sort_count * 4 * 4;

        let edge_sort_dir_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Edge Sort Dir Buffer"),
            size: edge_sort_dir_buffer_size as _,
            usage: wgpu::BufferUsages::VERTEX
                | wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST
                | wgpu::BufferUsages::COPY_SRC,
            mapped_at_creation: false
        });

        // Tree Buffer
        let tree_buffer_size = pad_size(mem::size_of::<BHTree>(), 1);
        let tree_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Tree Buffer"),
            size: tree_buffer_size,
            usage: wgpu::BufferUsages::STORAGE | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false
        });

        // Tree Node Buffer
        let tree_node_buffer_size = 4 * ((tree_node_count + 1) * 8);
        let tree_node_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Tree Node Buffer"),
            size: tree_node_buffer_size as _,
            usage: wgpu::BufferUsages::STORAGE | wgpu::BufferUsages::COPY_DST | wgpu::BufferUsages::COPY_SRC,
            mapped_at_creation: false
        });

        // Tree Child Buffer
        let tree_child_buffer_size = 4 * ((tree_node_count + 1) * 8);
        let tree_child_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Tree Child Buffer"),
            size: tree_child_buffer_size as _,
            usage: wgpu::BufferUsages::STORAGE | wgpu::BufferUsages::COPY_DST | wgpu::BufferUsages::COPY_SRC,
            mapped_at_creation: false
        });

        // 清空 Model 中的 Source Target List
        model.clear_source_target_list();


        // Bind Group
        // 用于绑定 Buffer 与 Bind Group Layout，后连接 Pipeline Layout 和 Pipeline
        // 需与 Bind Group Layout 保持索引和容量一致

        // Node Render Bind Group
        let node_render_bind_group = device.create_bind_group(&wgpu::BindGroupDescriptor {
            layout: &node_render_bind_group_layout,
            entries: &[
                wgpu::BindGroupEntry {
                    binding: 0,
                    resource: node_buffer.as_entire_binding(),
                },
                wgpu::BindGroupEntry {
                    binding: 1,
                    resource: depth_sort_buffer.as_entire_binding(),
                },
            ],
            label: None,
        });

        // Edge Render Bind Group
        let edge_render_bind_group = device.create_bind_group(&wgpu::BindGroupDescriptor {
            layout: &edge_render_bind_group_layout,
            entries: &[
                wgpu::BindGroupEntry {
                    binding: 0,
                    resource: node_buffer.as_entire_binding(),
                },
                wgpu::BindGroupEntry {
                    binding: 1,
                    resource: edge_buffer.as_entire_binding(),
                },
            ],
            label: None,
        });

        // Edge Render Bind Group
        let bounding_box_render_bind_group = device.create_bind_group(&wgpu::BindGroupDescriptor {
            layout: &bounding_box_render_bind_group_layout,
            entries: &[
                wgpu::BindGroupEntry {
                    binding: 0,
                    resource: bounding_buffer.as_entire_binding(),
                },
            ],
            label: None,
        });


        let kernel_status_buffer_size = KERNEL_STATUS_COUNT * 4;
        let kernel_status_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Kernel Status Buffer"),
            size: kernel_status_buffer_size as wgpu::BufferAddress,
            usage: wgpu::BufferUsages::STORAGE
                | wgpu::BufferUsages::COPY_DST
                | wgpu::BufferUsages::COPY_SRC,
            mapped_at_creation: false
        });


        let debug_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Debug Buffer"),
            size: kernel_status_buffer_size as _,
            usage: wgpu::BufferUsages::MAP_READ | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false,
        });

        let debugger = GraphicsDebugger {
            debug_buffer,
            buffer_size: kernel_status_buffer_size as _,
        };

        let graph_compute = &mut self.compute_shader;

        graph_compute.create_compute_kernel("init_kernel_status", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 11,
                buffer_type: ComputeBufferType::Storage,
                buffer: kernel_status_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("gen_node", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 3,
                buffer_type: ComputeBufferType::Storage,
                buffer: spring_force_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 13,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_edge_sort_range_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 14,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_edge_sort_range_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("cal_mass", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 2,
                buffer_type: ComputeBufferType::StorageReadOnly,
                buffer: edge_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("cal_gravity_force", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
        ]);

        graph_compute.create_compute_kernel("prepare_edge_sort", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 12,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 13,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_dir_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 2,
                buffer_type: ComputeBufferType::StorageReadOnly,
                buffer: edge_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("sort_edge", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 12,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 13,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_dir_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 9,
                buffer_type: ComputeBufferType::Uniform,
                buffer: depth_sort_param_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("compute_node_edge_sort_range", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 12,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 13,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_dir_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 14,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_edge_sort_range_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("compute_node_edge_sort_range_2", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 12,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 13,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_dir_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 14,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_edge_sort_range_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("spring_force_reduction", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 3,
                buffer_type: ComputeBufferType::Storage,
                buffer: spring_force_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 12,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 13,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_dir_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 14,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_edge_sort_range_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 11,
                buffer_type: ComputeBufferType::Storage,
                buffer: kernel_status_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("spring_force", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 3,
                buffer_type: ComputeBufferType::Storage,
                buffer: spring_force_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 13,
                buffer_type: ComputeBufferType::Storage,
                buffer: edge_sort_dir_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 14,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_edge_sort_range_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("reduction_bounding", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 4,
                buffer_type: ComputeBufferType::Storage,
                buffer: bounding_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("reduction_bounding_2", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 4,
                buffer_type: ComputeBufferType::Storage,
                buffer: bounding_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("bounding_box", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 4,
                buffer_type: ComputeBufferType::Storage,
                buffer: bounding_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 5,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 6,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_node_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("clear_1", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 7,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_child_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("tree_building", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 5,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 6,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 7,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_child_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 11,
                buffer_type: ComputeBufferType::Storage,
                buffer: kernel_status_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("clear_2", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 6,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_node_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("summarization", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 5,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 6,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 7,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_child_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 11,
                buffer_type: ComputeBufferType::Storage,
                buffer: kernel_status_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("sort", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 5,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 6,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 7,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_child_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 11,
                buffer_type: ComputeBufferType::Storage,
                buffer: kernel_status_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("electron_force", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 5,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 6,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 7,
                buffer_type: ComputeBufferType::Storage,
                buffer: tree_child_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 11,
                buffer_type: ComputeBufferType::Storage,
                buffer: kernel_status_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("main", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 3,
                buffer_type: ComputeBufferType::Storage,
                buffer: spring_force_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("displacement", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("randomize", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("copy", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 15,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_copy_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("cal_depth", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 1,
                buffer_type: ComputeBufferType::Storage,
                buffer: node_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 8,
                buffer_type: ComputeBufferType::Storage,
                buffer: depth_sort_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 10,
                buffer_type: ComputeBufferType::Uniform,
                buffer: self.render_uniform_buffer.as_entire_binding(),
            },
        ]);
        graph_compute.create_compute_kernel("sort_by_depth", vec![
            ComputeBuffer {
                binding: 0,
                buffer_type: ComputeBufferType::Uniform,
                buffer: uniform_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 8,
                buffer_type: ComputeBufferType::Storage,
                buffer: depth_sort_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 9,
                buffer_type: ComputeBufferType::Uniform,
                buffer: depth_sort_param_buffer.as_entire_binding(),
            },
            ComputeBuffer {
                binding: 11,
                buffer_type: ComputeBufferType::Storage,
                buffer: kernel_status_buffer.as_entire_binding(),
            },
        ]);

        let graph_resources = GraphResources {
            status,
            uniform_buffer,
            node_buffer,
            node_copy_buffer,
            node_edge_sort_range_buffer,
            edge_buffer,
            edge_sort_node_buffer,
            edge_sort_dir_buffer,
            bounding_buffer,
            tree_buffer,
            tree_node_buffer,
            tree_child_buffer,
            depth_sort_buffer,
            depth_sort_param_buffer,
            kernel_status_buffer,
            node_render_bind_group,
            edge_render_bind_group,
            bounding_box_render_bind_group,
            debugger,
            buffer_bytes: None,
            node_render_pipeline,
            node_cast_render_pipeline,
            edge_render_pipeline,
            edge_cast_render_pipeline,
            bounding_box_render_pipeline,
            kernel_status_codes: vec![-1; KERNEL_STATUS_COUNT],
            is_kernel_error: false,
            node_work_group_count,
            edge_work_group_count,
            edge_sort_work_group_count,
            tree_node_work_group_count,
            step_work_group_count,
            bb_work_group_count
        };

        self.graph_resources = Some(graph_resources);

        self.gen_node();
        self.prepare_cast();
        self.need_update = true;

    }

    pub fn compute(&mut self) {

        if self.graph_resources.is_none() { return; }
        let graph_resources = self.graph_resources.as_ref().unwrap();

        let device = self.render_state.device.clone();
        let queue = self.render_state.queue.clone();

        let mut command_encoder =
            device.create_command_encoder(&wgpu::CommandEncoderDescriptor { label: None });
        command_encoder.push_debug_group("compute render movement");
        {
            // compute pass
            let mut cpass =
                command_encoder.begin_compute_pass(&wgpu::ComputePassDescriptor { label: None });

            Self::dispatch_compute_kernel(&self, &mut cpass, "init_kernel_status", 1);

            Self::dispatch_compute_kernel(&self, &mut cpass, "cal_gravity_force", graph_resources.node_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "spring_force_reduction", graph_resources.edge_sort_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "spring_force", graph_resources.node_work_group_count);

            Self::calc_bounding_box(&self, &mut cpass);

            Self::dispatch_compute_kernel(&self, &mut cpass, "bounding_box", 1);

            Self::dispatch_compute_kernel(&self, &mut cpass, "clear_1", graph_resources.tree_node_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "tree_building", graph_resources.step_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "clear_2", graph_resources.tree_node_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "summarization", graph_resources.step_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "sort", graph_resources.step_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "electron_force", graph_resources.step_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "main", graph_resources.node_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "displacement", graph_resources.node_work_group_count);

        }

        // Self::debug(self);

        // queue.submit(Some(command_encoder.finish()));
        self.compute_frame_count += 1;
        // device.poll(wgpu::Maintain::Wait);

        let graph_resources = self.graph_resources.as_mut().unwrap();

        let debugger = &mut graph_resources.debugger;
        command_encoder.copy_buffer_to_buffer(&graph_resources.kernel_status_buffer, 0, &debugger.debug_buffer, 0, debugger.buffer_size as _);
        queue.submit(Some(command_encoder.finish()));

        let (sender, receiver) = futures_intrusive::channel::shared::oneshot_channel();
        let buffer_slice = debugger.debug_buffer.slice(..);
        buffer_slice.map_async(wgpu::MapMode::Read, move |v| sender.send(v).unwrap());
        device.poll(wgpu::Maintain::Wait);

        pollster::block_on(async {
            if let Some(Ok(())) = receiver.receive().await {
                let data = buffer_slice.get_mapped_range();
                let result: Vec<i32> = bytemuck::cast_slice(&data).to_vec();

                let content = format!("{:?}", &result);

                if *result.par_iter().max().unwrap() > 0 {
                    message_error("Kernel Error", content.as_str());
                    graph_resources.is_kernel_error = true;
                } else {
                    graph_resources.is_kernel_error = false;
                    if *result.par_iter().min().unwrap() < 0 {
                        message_warning("Kernel Warning", content.as_str());
                    }
                }

                if result.len() == KERNEL_STATUS_COUNT {
                    graph_resources.kernel_status_codes = result;
                }

                drop(data);
                debugger.debug_buffer.unmap();


            } else {
                panic!("failed to run compute on gpu!")
            }
        });

    }

    pub fn debug<'a>(&'a mut self) {


        let device = &self.render_state.device;
        let queue = &self.render_state.queue;

        let graph_resources = self.graph_resources.as_ref().unwrap();

        let debug_buffer_size = graph_resources.status.node_count * 3 * 4;
        let debug_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: Some("Debug Buffer"),
            size: debug_buffer_size as _,
            usage: wgpu::BufferUsages::MAP_READ | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false,
        });

        let mut command_encoder =
            device.create_command_encoder(&wgpu::CommandEncoderDescriptor { label: None });

        {
            let mut cpass =
                command_encoder.begin_compute_pass(&wgpu::ComputePassDescriptor { label: None });
            Self::dispatch_compute_kernel(&self, &mut cpass, "copy", graph_resources.node_work_group_count);
        }
        queue.submit(Some(command_encoder.finish()));

        let mut command_encoder_2 =
            device.create_command_encoder(&wgpu::CommandEncoderDescriptor { label: None });

        command_encoder_2.copy_buffer_to_buffer(&graph_resources.node_copy_buffer, 0, &debug_buffer, 0, debug_buffer_size as _);
        queue.submit(Some(command_encoder_2.finish()));

        let (sender, receiver) = futures_intrusive::channel::shared::oneshot_channel();
        let buffer_slice = debug_buffer.slice(..);
        buffer_slice.map_async(wgpu::MapMode::Read, move |v| sender.send(v).unwrap());
        device.poll(wgpu::Maintain::Wait);

        let graph_resources = self.graph_resources.as_mut().unwrap();
        pollster::block_on(async {
            if let Some(Ok(())) = receiver.receive().await {
                let data = buffer_slice.get_mapped_range();
                let result: Vec<u8> = bytemuck::cast_slice(&data).to_vec();

                // let content = format!("{:?}", &result);
                // println!("{}", content);
                // println!("{}", result.len());
                graph_resources.buffer_bytes = Some(result);

            } else {
                panic!("failed to run compute on gpu!")
            }
        });

    }

    pub fn calc_bounding_box<'a>(&'a self, cpass: &mut ComputePass<'a>) {
        let graph_resources = self.graph_resources.as_ref().unwrap();
        Self::dispatch_compute_kernel(&self, cpass, "reduction_bounding", graph_resources.node_work_group_count);


        let mut bound_range = graph_resources.bb_work_group_count;

        loop {
            Self::dispatch_compute_kernel(&self, cpass, "reduction_bounding_2", bound_range);

            if bound_range <= 1 { break; }
            bound_range = ((bound_range as f32) / (PARTICLES_PER_GROUP as f32)).ceil() as u32;

        }
    }

    pub fn dispatch_compute_kernel<'a>(&'a self, cpass: &mut ComputePass<'a>, kernel_name: &'a str, work_group_count: u32) {
        cpass.set_pipeline(&self.compute_shader.kernels.get(kernel_name).unwrap().compute_pipeline);
        cpass.set_bind_group(0, &self.compute_shader.kernels.get(kernel_name).unwrap().bind_group, &[]);
        cpass.dispatch_workgroups(work_group_count, 1, 1);
    }


    pub fn gen_node(&mut self) {

        let device = &self.render_state.device;
        let queue = &self.render_state.queue;

        let graph_resources = &self.graph_resources.as_ref().unwrap();

        let mut command_encoder =
            device.create_command_encoder(&wgpu::CommandEncoderDescriptor { label: None });
        command_encoder.push_debug_group("Gen Node");
        {
            // compute pass
            let mut cpass = command_encoder.begin_compute_pass(&wgpu::ComputePassDescriptor { label: None });
            Self::dispatch_compute_kernel(&self, &mut cpass, "gen_node", graph_resources.node_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "cal_mass", graph_resources.edge_work_group_count);

            Self::calc_bounding_box(&self, &mut cpass);
        }
        command_encoder.pop_debug_group();
        queue.submit(Some(command_encoder.finish()));


        // calc depth
        let command_buffer = {
            let mut command_encoder = device.create_command_encoder(&wgpu::CommandEncoderDescriptor::default());
            {
                let mut cpass = command_encoder.begin_compute_pass(&wgpu::ComputePassDescriptor { label: None });

                Self::dispatch_compute_kernel(&self, &mut cpass, "prepare_edge_sort", graph_resources.edge_work_group_count);

            }
            command_encoder.finish()
        };
        queue.submit(Some(command_buffer));

        // sort
        {
            let mut dim = 2;
            while dim < (graph_resources.status.edge_count * 2) * 2 {
                let mut block_count = dim >> 1;
                queue.write_buffer(&graph_resources.depth_sort_param_buffer, 0, bytemuck::cast_slice(&[dim as u32]));
                while block_count > 0 {
                    queue.write_buffer(&graph_resources.depth_sort_param_buffer, 4, bytemuck::cast_slice(&[block_count as u32]));
                    let mut command_encoder = device.create_command_encoder(&wgpu::CommandEncoderDescriptor::default());
                    {
                        let mut cpass = command_encoder.begin_compute_pass(&wgpu::ComputePassDescriptor { label: None });
                        Self::dispatch_compute_kernel(&self, &mut cpass, "sort_edge", graph_resources.edge_sort_work_group_count);
                    }
                    queue.submit(Some(command_encoder.finish()));
                    block_count = block_count >> 1;
                }
                dim = dim << 1;
            }
        };

        let mut command_encoder =
            device.create_command_encoder(&wgpu::CommandEncoderDescriptor { label: None });
        command_encoder.push_debug_group("compute_node_edge_sort_range");
        {
            // compute pass
            let mut cpass = command_encoder.begin_compute_pass(&wgpu::ComputePassDescriptor { label: None });

            Self::dispatch_compute_kernel(&self, &mut cpass, "compute_node_edge_sort_range", graph_resources.edge_sort_work_group_count);
            Self::dispatch_compute_kernel(&self, &mut cpass, "compute_node_edge_sort_range_2", graph_resources.edge_sort_work_group_count);
        }
        command_encoder.pop_debug_group();
        queue.submit(Some(command_encoder.finish()));

        self.compute_frame_count += 1;
    }

    pub fn randomize(&mut self) {

        let device = &self.render_state.device;
        let queue = &self.render_state.queue;

        let graph_resources = self.graph_resources.as_ref().unwrap();

        let mut command_encoder =
            device.create_command_encoder(&wgpu::CommandEncoderDescriptor { label: None });

        queue.write_buffer(&graph_resources.uniform_buffer, 0, bytemuck::cast_slice(&[self.compute_frame_count as u32]));
        command_encoder.push_debug_group("randomize render position");
        {
            // compute pass
            let mut cpass = command_encoder.begin_compute_pass(&wgpu::ComputePassDescriptor { label: None });

            Self::dispatch_compute_kernel(&self, &mut cpass, "randomize", graph_resources.node_work_group_count);

            Self::dispatch_compute_kernel(&self, &mut cpass, "copy", graph_resources.node_work_group_count);

            Self::calc_bounding_box(&self, &mut cpass);
        }
        command_encoder.pop_debug_group();
        queue.submit(Some(command_encoder.finish()));
        self.compute_frame_count += 1;
    }

    pub fn render(&mut self) {

        let is_graph_resources = self.graph_resources.is_some();

        let new_time = Utc::now().timestamp_millis();
        let delta_time = new_time - self.last_time;
        if delta_time >= 300 {
            self.frames_per_second = (1000 * (self.render_frame_count - self.last_frame)) as f64 / delta_time as f64;
            self.last_time = new_time;
            self.last_frame = self.render_frame_count;
        }

        self.render_frame_count += 1u32;

        let device = &self.render_state.device;
        let queue = &self.render_state.queue;

        let is_render_output = self.is_render_output;
        self.is_render_output = false;

        let
            (
                resolve_target,
                view,
                depth_view
            )
            = if !is_render_output
        {
            (
                Some(&self.viewport_texture.as_ref().unwrap().view),
                &self.viewport_msaa_texture.as_ref().unwrap().view,
                &self.viewport_depth_texture.as_ref().unwrap().view
            )
        } else {
            (
                Some(&self.output_texture.as_ref().unwrap().view),
                &self.output_msaa_texture.as_ref().unwrap().view,
                &self.output_depth_texture.as_ref().unwrap().view
            )
        };

        let color_attachment;

        color_attachment = Some(wgpu::RenderPassColorAttachment {
            view,
            resolve_target,
            ops: wgpu::Operations {
                load: wgpu::LoadOp::Clear(if !is_render_output { wgpu::Color::TRANSPARENT } else { wgpu::Color::BLACK }),
                store: false,
            },
        });

        let render_pass_descriptor = wgpu::RenderPassDescriptor {
            label: None,
            color_attachments: &[color_attachment],
            depth_stencil_attachment: Some(wgpu::RenderPassDepthStencilAttachment {
                view: &depth_view,
                depth_ops: Some(wgpu::Operations {
                    load: wgpu::LoadOp::Clear(1.0),
                    store: true,
                }),
                stencil_ops: None,
            }),
        };

        if self.render_options.is_rendering_node && is_graph_resources {
            let graph_resources = self.graph_resources.as_ref().unwrap();

            // calc depth
            let command_buffer = {
                let mut command_encoder = device.create_command_encoder(&wgpu::CommandEncoderDescriptor::default());
                {
                    let mut cpass = command_encoder.begin_compute_pass(&wgpu::ComputePassDescriptor { label: None });

                    Self::dispatch_compute_kernel(&self, &mut cpass, "cal_depth", graph_resources.node_work_group_count);

                }
                command_encoder.finish()
            };
            queue.submit(Some(command_buffer));

            // sort
            {
                let mut dim = 2;
                while dim < graph_resources.status.node_count * 2 {
                    let mut block_count = dim >> 1;
                    queue.write_buffer(&graph_resources.depth_sort_param_buffer, 0, bytemuck::cast_slice(&[dim as u32]));
                    while block_count > 0 {
                        queue.write_buffer(&graph_resources.depth_sort_param_buffer, 4, bytemuck::cast_slice(&[block_count as u32]));
                        let mut command_encoder = device.create_command_encoder(&wgpu::CommandEncoderDescriptor::default());
                        {
                            let mut cpass = command_encoder.begin_compute_pass(&wgpu::ComputePassDescriptor { label: None });
                            Self::dispatch_compute_kernel(&self, &mut cpass, "sort_by_depth", graph_resources.node_work_group_count);
                        }
                        queue.submit(Some(command_encoder.finish()));
                        block_count = block_count >> 1;
                    }
                    dim = dim << 1;
                }
            };

        }

        // render
        let command_buffer = {
            let mut command_encoder = device.create_command_encoder(&wgpu::CommandEncoderDescriptor::default());
            {
                let mut rpass = command_encoder.begin_render_pass(&render_pass_descriptor);
                if !is_render_output {
                    if self.render_options.is_rendering_axis {
                        rpass.set_pipeline(&self.axis_render_pipeline);
                        rpass.set_bind_group(0, &self.render_uniform_bind_group, &[]);
                        rpass.set_vertex_buffer(0, self.quad_buffer.slice(..));
                        rpass.draw(0..4, 0..2);
                    }
                }
                if is_graph_resources {
                    let graph_resources = self.graph_resources.as_ref().unwrap();

                    if !is_render_output {

                        if self.render_options.is_rendering_bounding_box {
                            rpass.set_pipeline(&graph_resources.bounding_box_render_pipeline);
                            rpass.set_bind_group(0, &self.render_uniform_bind_group, &[]);
                            rpass.set_bind_group(1, &graph_resources.bounding_box_render_bind_group, &[]);
                            rpass.set_index_buffer(self.bounding_box_index_buffer.slice(..), wgpu::IndexFormat::Uint16);
                            rpass.set_vertex_buffer(0, self.bounding_box_vertex_buffer.slice(..));
                            rpass.draw_indexed(0..24, 0, 0..1);
                        }
                    }

                    if self.render_options.is_rendering_node {
                        rpass.set_pipeline(&graph_resources.node_render_pipeline);
                        rpass.set_bind_group(0, &self.render_uniform_bind_group, &[]);
                        rpass.set_bind_group(1, &graph_resources.node_render_bind_group, &[]);
                        rpass.set_vertex_buffer(0, self.quad_buffer.slice(..));
                        rpass.draw(0..4, 0..graph_resources.status.node_count as u32);
                    }


                    if self.render_options.is_rendering_edge {
                        rpass.set_pipeline(&graph_resources.edge_render_pipeline);
                        rpass.set_bind_group(0, &self.render_uniform_bind_group, &[]);
                        rpass.set_bind_group(1, &graph_resources.edge_render_bind_group, &[]);
                        rpass.set_vertex_buffer(0, self.quad_buffer.slice(..));
                        rpass.draw(0..4, 0..graph_resources.status.edge_count as u32);
                    }
                }
            }
            command_encoder.finish()
        };
        queue.submit(Some(command_buffer));

    }

    pub fn update_viewport(&mut self, new_size: Vec2) {

        let device = &self.render_state.device;
        let _queue = &self.render_state.queue;

        if self.viewport_size != new_size {
            self.viewport_size = new_size;

            self.camera.set_aspect_ratio(new_size.x / new_size.y as f32);

            let texture_extent = wgpu::Extent3d {
                width: self.viewport_size.x as u32,
                height: self.viewport_size.y as u32,
                depth_or_array_layers: 1,
            };

            let texture = Texture::create_texture(device, &texture_extent, 1, false);
            let msaa_texture = Texture::create_texture(device, &texture_extent, 4, false);
            let depth_texture = Texture::create_depth_texture(&device, &texture_extent, "depth_texture", true);

            if self.viewport_texture.is_some() {
                self.render_state.renderer.write().free_texture(&self.viewport_texture_id);
            }
            let texture_id = self.render_state.renderer.write().register_native_texture(device, &texture.view, wgpu::FilterMode::Linear);

            self.viewport_texture_extent = texture_extent;
            self.viewport_texture = Some(texture);
            self.viewport_msaa_texture = Some(msaa_texture);
            self.viewport_depth_texture = Some(depth_texture);
            self.viewport_texture_id = texture_id;

            self.need_update = true;
        }
    }


    pub fn prepare_cast(&mut self) {

        let device = &self.render_state.device;
        let _queue = &self.render_state.queue;

        let cast_texture_extent = wgpu::Extent3d {
            width: 1 as _,
            height: 1 as _,
            depth_or_array_layers: 1,
        };

        let cast_texture = Texture::create_texture(device, &cast_texture_extent, 1, true);
        let cast_depth_texture = Texture::create_depth_texture(&device, &cast_texture_extent, "cast_depth_texture", false);

        self.cast_texture_extent = cast_texture_extent;
        self.cast_texture = Some(cast_texture);
        self.cast_depth_texture = Some(cast_depth_texture);

    }


    pub fn render_cast(&mut self) {

        if self.graph_resources.is_none() { return; }
        let graph_resources = self.graph_resources.as_ref().unwrap();

        if self.control.pointer_pos.is_none() { return; }

        let device = &self.render_state.device;
        let queue = &self.render_state.queue;

        let view = &self.cast_texture.as_ref().unwrap().view;
        let depth_view = &self.cast_depth_texture.as_ref().unwrap().view;

        let color_attachment = Some(wgpu::RenderPassColorAttachment {
            view,
            resolve_target: None,
            ops: wgpu::Operations {
                load: wgpu::LoadOp::Clear(wgpu::Color::TRANSPARENT),
                store: true,
            },
        });

        let render_pass_descriptor = wgpu::RenderPassDescriptor {
            label: None,
            color_attachments: &[color_attachment],
            depth_stencil_attachment: Some(wgpu::RenderPassDepthStencilAttachment {
                view: &depth_view,
                depth_ops: Some(wgpu::Operations {
                    load: wgpu::LoadOp::Clear(1.0),
                    store: true,
                }),
                stencil_ops: None,
            }),
        };

        // render
        let command_buffer = {
            let mut command_encoder = device.create_command_encoder(&wgpu::CommandEncoderDescriptor::default());
            {
                let mut rpass = command_encoder.begin_render_pass(&render_pass_descriptor);

                if self.render_options.is_rendering_node {
                    rpass.set_pipeline(&graph_resources.node_cast_render_pipeline);
                    rpass.set_bind_group(0, &self.render_uniform_bind_group, &[]);
                    rpass.set_bind_group(1, &graph_resources.node_render_bind_group, &[]);
                    rpass.set_vertex_buffer(0, self.quad_buffer.slice(..));
                    rpass.draw(0..4, 0..graph_resources.status.node_count as u32);
                }

                if self.render_options.is_rendering_edge {
                    rpass.set_pipeline(&graph_resources.edge_cast_render_pipeline);
                    rpass.set_bind_group(0, &self.render_uniform_bind_group, &[]);
                    rpass.set_bind_group(1, &graph_resources.edge_render_bind_group, &[]);
                    rpass.set_vertex_buffer(0, self.quad_buffer.slice(..));
                    rpass.draw(0..4, 0..graph_resources.status.edge_count as u32);
                }
            }
            command_encoder.finish()
        };
        queue.submit(Some(command_buffer));


        self.copy_cast_data();
    }


    pub fn copy_cast_data(&mut self) {

        let device = &self.render_state.device;
        let queue = &self.render_state.queue;

        let buffer_dimensions = BufferDimensions::new(
            self.cast_texture_extent.width as usize,
            self.cast_texture_extent.height as usize,
            16
        );

        let output_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: None,
            size: (buffer_dimensions.padded_bytes_per_row * buffer_dimensions.height) as _,
            usage: wgpu::BufferUsages::MAP_READ | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false,
        });

        let command_buffer = {
            let mut encoder =
                device.create_command_encoder(&wgpu::CommandEncoderDescriptor { label: None });

            encoder.copy_texture_to_buffer(
                self.cast_texture.as_ref().unwrap().texture.as_image_copy(),
                wgpu::ImageCopyBuffer {
                    buffer: &output_buffer,
                    layout: wgpu::ImageDataLayout {
                        offset: 0,
                        bytes_per_row: Some(
                            std::num::NonZeroU32::new(buffer_dimensions.padded_bytes_per_row as u32)
                                .unwrap(),
                        ),
                        rows_per_image: None,
                    },
                },
                self.cast_texture_extent,
            );

            encoder.finish()
        };

        let submission_index = queue.submit(Some(command_buffer));

        let (sender, receiver) = futures_intrusive::channel::shared::oneshot_channel();
        let buffer_slice = output_buffer.slice(..16);
        buffer_slice.map_async(wgpu::MapMode::Read, move |v| sender.send(v).unwrap());

        device.poll(wgpu::Maintain::WaitForSubmissionIndex(submission_index));

        pollster::block_on(async {
            if let Some(Ok(())) = receiver.receive().await {
                let data = buffer_slice.get_mapped_range();
                let result: Vec<u32> = bytemuck::cast_slice(&data).to_vec();

                match result[0] {
                    1 => {
                        self.cast_type = Some(CastType::Node);
                        self.cast_value = result[1];
                    }
                    2 => {
                        self.cast_type = Some(CastType::Edge);
                        self.cast_value = result[1];
                    }
                    _ => {
                        self.cast_type = None;
                        self.cast_value = 0;
                    }
                }

                let content = format!("{:?}", &result);
                // println!("{}", content);
                // println!("{}", result.len());

            } else {
                panic!("failed to run compute on gpu!")
            }
        });

    }

    pub fn prepare_output(&mut self) {

        self.is_render_output = true;

        let device = &self.render_state.device;
        let _queue = &self.render_state.queue;

        let output_texture_extent = wgpu::Extent3d {
            width: (self.viewport_texture_extent.width * 2) as u32,
            height: (self.viewport_texture_extent.height * 2) as u32,
            depth_or_array_layers: 1,
        };

        let output_texture = Texture::create_texture(device, &output_texture_extent, 1, false);
        let msaa_output_texture = Texture::create_texture(device, &output_texture_extent, 4, false);
        let output_depth_texture = Texture::create_depth_texture(&device, &output_texture_extent, "depth_texture", true);

        self.output_texture_extent = output_texture_extent;
        self.output_texture = Some(output_texture);
        self.output_msaa_texture = Some(msaa_output_texture);
        self.output_depth_texture = Some(output_depth_texture);

    }

    pub fn output_png_after_render(&mut self, out_folder: String) {

        let device = &self.render_state.device;
        let queue = &self.render_state.queue;

        let buffer_dimensions = BufferDimensions::new(
            self.output_texture_extent.width as usize,
            self.output_texture_extent.height as usize,
            4
        );

        let output_buffer = device.create_buffer(&wgpu::BufferDescriptor {
            label: None,
            size: (buffer_dimensions.padded_bytes_per_row * buffer_dimensions.height) as u64,
            usage: wgpu::BufferUsages::MAP_READ | wgpu::BufferUsages::COPY_DST,
            mapped_at_creation: false,
        });

        let command_buffer = {
            let mut encoder =
                device.create_command_encoder(&wgpu::CommandEncoderDescriptor { label: None });

            encoder.copy_texture_to_buffer(
                self.output_texture.as_ref().unwrap().texture.as_image_copy(),
                wgpu::ImageCopyBuffer {
                    buffer: &output_buffer,
                    layout: wgpu::ImageDataLayout {
                        offset: 0,
                        bytes_per_row: Some(
                            std::num::NonZeroU32::new(buffer_dimensions.padded_bytes_per_row as u32)
                                .unwrap(),
                        ),
                        rows_per_image: None,
                    },
                },
                self.output_texture_extent,
            );

            encoder.finish()
        };

        let index = queue.submit(Some(command_buffer));

        let mut output_path = out_folder;
        let formatted_time = Local::now().format("%Y.%m.%d_%H.%M.%S");
        let png_name = format!("/graphpu_render_{}_{}.png", formatted_time, self.render_frame_count);
        output_path += &png_name;
        pollster::block_on(create_png(output_path, device, output_buffer, &buffer_dimensions, index));
    }

    pub fn update_control(&mut self, ui: &mut Ui, is_hover: bool, scale: f32) {

        self.control.update_interaction(ui, is_hover);
        self.control.update_camera(ui, &mut self.camera);

        if self.control.is_update {
            self.need_update = true;
        }

        if self.need_update || self.control.is_pointer_update {

            let pointer_pos = if let Some(pos) = self.control.pointer_pos {
                Some(glam::Vec2::new(pos.x * scale, pos.y * scale) )
            } else {
                None
            };
            update_render_uniforms(
                &self.render_state.queue,
                &mut self.camera,
                &self.render_uniform_buffer,
                glam::Vec2::new(self.viewport_size.x, self.viewport_size.y),
                pointer_pos,
                self.control.is_pointer_update
            );
        }

        self.control.is_update = false;

    }

    pub fn dispose(&mut self) {

        let graph_resources = self.graph_resources.as_mut().unwrap();
        graph_resources.node_buffer.destroy();
        graph_resources.edge_buffer.destroy();
        graph_resources.bounding_buffer.destroy();
        graph_resources.tree_buffer.destroy();
        graph_resources.tree_node_buffer.destroy();
        graph_resources.tree_child_buffer.destroy();
        graph_resources.depth_sort_buffer.destroy();
        graph_resources.depth_sort_param_buffer.destroy();

        self.graph_resources = None;
        self.need_update = true;
        // self.render();
    }


}

fn update_render_uniforms(
    queue: &Queue,
    camera: &mut Camera,
    render_uniform_buffer: &wgpu::Buffer,
    viewport_size: glam::Vec2,
    pointer_pos: Option<glam::Vec2>,
    is_pointer_update: bool,
) {

    let pos = if let Some(pos) = pointer_pos {
        pos
    } else {
        glam::Vec2::ZERO
    };

    if camera.is_updated {

        camera.update_projection_matrix();

        let uniform = generate_uniforms(camera, viewport_size, pos);

        queue.write_buffer(&render_uniform_buffer, 0, bytemuck::cast_slice(&[uniform]));
        camera.is_updated = false;

    } else if pointer_pos.is_some() && is_pointer_update {

        let uniform = generate_uniforms(camera, viewport_size, pos);
        queue.write_buffer(&render_uniform_buffer, 0, bytemuck::cast_slice(&[uniform]));

    }

}

// 计算对齐后的 Buffer 长度
// 结构体 Buffer 须向 16 byte 对齐，也就是 4 个 32 位变量
fn pad_size(node_struct_size: usize, num_particles: u32) -> wgpu::BufferAddress {

    let align_mask = wgpu::COPY_BUFFER_ALIGNMENT * 4 - 1;
    let padded_size = ((node_struct_size as u64 + align_mask) & !align_mask).max(wgpu::COPY_BUFFER_ALIGNMENT);
    let padded_size = (padded_size * num_particles as u64) as wgpu::BufferAddress;

    padded_size
}

fn get_tree_node_count(node_count: &u32) -> u32 {
    let mut tree_node_count = node_count * 2;
    // println!("{}", node_count);
    while tree_node_count & (PARTICLES_PER_GROUP - 1) != 0 {
        tree_node_count += 1;
    }
    // println!("{}", tree_node_count - 1);
    tree_node_count - 1
}

// fn dispatch_compute_kernel(cpass: &mut wgpu::ComputePass, compute_kernel: &ComputeKernel, work_group_count: u32) {
//
//     cpass.set_pipeline(&compute_kernel.compute_pipeline);
//     cpass.set_bind_group(0, &compute_kernel.bind_group, &[]);
//     cpass.dispatch_workgroups(work_group_count, 1, 1);
// }

================================================
FILE: src/models/mod.rs
================================================
use crate::models::data_model::GraphicsStatus;
use std::path::PathBuf;
use crate::utils::file::{path_to_string, pick_folder};
use crate::utils::message::message_info;

use self::{app_model::ImportState, data_model::ExternalData};

pub mod app_model;
pub mod data_model;
pub mod graphics_lib;
pub mod graphics_model;

pub struct Models {
    pub graphics_model: graphics_model::GraphicsModel,
    pub data_model: data_model::DataModel,
    pub app_model: app_model::AppModel,
}

#[derive(Debug)]
pub struct ImportedData {
    pub node_file_path: String,
    pub edge_file_path: String,
    pub node_data: ExternalData,
    pub edge_data: ExternalData,
    pub source_index: usize,
    pub target_index: usize,
    pub source_target_list: Vec<u32>,
    pub max_id: u32,
}

unsafe impl Send for ImportedData {}

impl Models {
    pub fn setup_data(&mut self, data: ImportedData) {
        let ImportedData {
            node_file_path,
            edge_file_path,
            node_data,
            edge_data,
            source_index,
            target_index,
            source_target_list,
            max_id,
        } = data;
        self.data_model.node_data = node_data;
        self.data_model.edge_data = edge_data;
        self.data_model.edge_source = Some(source_index);
        self.data_model.edge_target = Some(target_index);
        self.data_model.source_target_list = Some(source_target_list);
        self.data_model.max_id = max_id;
        self.data_model.set_status();
        self.app_model.node_file_path = Some(PathBuf::from(node_file_path));
        self.app_model.edge_file_path = Some(PathBuf::from(edge_file_path));
        self.app_model.import_state = ImportState::Success;
        self.app_model.is_import_visible = false;
        self.graphics_model.graphics_resources.init_data(
            self.graphics_model.compute_render_state.clone(),
            &mut self.data_model,
        );
        let text = format!(
            "Node file: {}  \nEdge file: {}",
            self.app_model.node_file_name().unwrap_or(""),
            self.app_model.edge_file_name().unwrap_or("")
        );
        message_info("Import CSV Data Succeeded", text.as_str());
    }

    pub fn clear_data(&mut self) {
        self.app_model.import_state = ImportState::Initial;
        self.app_model.node_file_path = None;
        self.app_model.edge_file_path = None;
        self.data_model.node_data = ExternalData::default();
        self.data_model.edge_data = ExternalData::default();
        self.data_model.max_id = 0;
        self.graphics_model.reset();
        self.data_model.status = GraphicsStatus::default();
    }

    pub fn pick_output_folder_and_then(output_folder: &mut String, mut then: impl FnMut(&str) -> ()) {
        if output_folder.is_empty() {
            *output_folder = path_to_string(&pick_folder()).unwrap_or(output_folder.clone());
        }
        if !output_folder.is_empty() {
            then(output_folder);
        }
    }

    pub fn render_output(&mut self) {
        Self::pick_output_folder_and_then(&mut self.app_model.output_folder, |folder| {
            self.graphics_model.render_output(String::from(folder));
        });
    }
}


================================================
FILE: src/utils/constant.rs
================================================


pub const FONT_SIZE_BODY: f32 = 11.0;
pub const FONT_SIZE_TITLE: f32 = 13.0;
pub const FONT_SIZE_HEADING: f32 = 18.0;

pub const ACCENT_COLOR: egui::Color32 = egui::Color32::from_rgb(86, 89, 225);

pub const MULTISAMPLE_STATE: wgpu::MultisampleState = wgpu::MultisampleState {
    count: 4,
    mask: !0,
    alpha_to_coverage_enabled: false
};

pub const TEXTURE_FORMAT:       wgpu::TextureFormat = wgpu::TextureFormat::Rgba8UnormSrgb;
pub const CAST_TEXTURE_FORMAT:  wgpu::TextureFormat = wgpu::TextureFormat::Rgba32Uint;
pub const DEPTH_FORMAT:         wgpu::TextureFormat = wgpu::TextureFormat::Depth32Float;

================================================
FILE: src/utils/csv_loader.rs
================================================
use std::{collections::HashMap, path::PathBuf};

use rayon::prelude::{IntoParallelIterator, IntoParallelRefIterator, ParallelIterator};

use crate::models::{data_model::ExternalData, ImportedData};

pub fn read_headers_from_csv(
    path: &Option<PathBuf>,
) -> Result<(HashMap<String, usize>, Vec<String>), String> {
    let path = path.as_deref().ok_or("Can't find file")?;
    let err_fomatter = |err| format!("{}", err);

    let mut rdr = csv::Reader::from_path(path).map_err(err_fomatter)?;
    let headers_index_str: Vec<_> = rdr
        .headers()
        .map_err(err_fomatter)?
        .into_iter()
        .map(|s| s.to_string())
        .collect();
    let headers_str_index: HashMap<_, _> = headers_index_str
        .iter()
        .enumerate()
        .map(|(index, value)| (value.clone(), index))
        .collect();
    Ok((headers_str_index, headers_index_str))
}

pub fn read_from_csv(path: &Option<PathBuf>) -> Result<ExternalData, String> {
    let path = path.as_deref().ok_or("Can't find file")?;
    let err_fomatter = |err| format!("{}", err);

    let mut rdr = csv::Reader::from_path(path).map_err(err_fomatter)?;
    let headers_str_index: HashMap<_, _> = rdr
        .headers()
        .map_err(err_fomatter)?
        .into_iter()
        .enumerate()
        .map(|(index, s)| (s.to_string(), index))
        .collect();
    let headers_index_str: Vec<_> = headers_str_index
        .keys()
        .map(|key| key.to_string())
        .collect();
    let data: Vec<Vec<_>> = rdr
        .records()
        .into_iter()
        .map(|record| record.unwrap().into_iter().map(str::to_string).collect())
        .collect();
    Ok(ExternalData {
        headers_str_index,
        headers_index_str,
        data,
    })
}

pub fn load_data(
    node_file_path: &str,
    edge_file_path: &str,
    source_index: usize,
    target_index: usize,
) -> Result<ImportedData, String> {
    let node_data =
        read_from_csv(&Some(PathBuf::from(node_file_path))).unwrap_or(ExternalData::default());
    let edge_data = read_from_csv(&Some(PathBuf::from(edge_file_path)))?;
    let err_mapper = |_| String::from("Source and target isn't uint");
    let source_target_list  = (0..edge_data.data.len() * 2).into_par_iter()
        .map::<_, Result<u32, String>>(|index| {
            let item = &edge_data.data[index / 2];
            if index % 2 == 0 {
                item[source_index].parse::<u32>().map_err(err_mapper)
            } else {
                item[target_index].parse::<u32>().map_err(err_mapper)
            }
        })
        .collect::<Result<Vec<u32>, String>>()?;
    let max_id = *source_target_list.par_iter().max().unwrap();
    Ok(ImportedData {
        node_file_path: node_file_path.to_string(),
        edge_file_path: edge_file_path.to_string(),
        node_data,
        edge_data,
        source_target_list,
        source_index,
        target_index,
        max_id,
    })
}


================================================
FILE: src/utils/file.rs
================================================
use crate::models::graphics_lib::BufferDimensions;
use crate::utils::message::{message_error, message_info};
use directories::UserDirs;
use std::fs::File;
use std::io::Write;
use std::sync::Arc;
use std::{path::PathBuf, process::Command};

pub fn pick_folder() -> Option<PathBuf> {
    let dir = desktop_dir_or_empty();

    rfd::FileDialog::new().set_directory(dir).pick_folder()
}

pub fn pick_csv() -> Option<PathBuf> {
    rfd::FileDialog::new()
        .add_filter("Text File", &["txt", "csv"])
        .pick_file()
}

pub fn path_to_string(path: &Option<PathBuf>) -> Option<String> {
    path.as_ref().map(|path| path.display().to_string())
}

pub fn system_open_directory(output_directory: &str) {
    if cfg!(windows) {
        Command::new("explorer")
            .arg(output_directory) // <- Specify the directory you'd like to open.
            .spawn()
            .unwrap();
    } else if cfg!(unix) {
        Command::new("open")
            .arg(output_directory) // <- Specify the directory you'd like to open.
            .spawn()
            .unwrap();
    }
}

pub fn desktop_dir_or_empty() -> String {
    let mut dir = String::from("");
    if let Some(user_dirs) = UserDirs::new() {
        if let Some(desktop_dir) = user_dirs.desktop_dir() {
            dir = desktop_dir.display().to_string();
        }
    }
    dir
}

pub fn get_resource_path(relative_path: &str) -> PathBuf {
    #[cfg(feature = "exe")]
    let base = match std::env::current_exe() {
        Ok(mut p) => {
            p.pop();
            p
        }
        Err(_) => PathBuf::new(),
    };

    #[cfg(not(feature = "exe"))]
    let base = PathBuf::from(env!("CARGO_MANIFEST_DIR"));

    base.join("resources").join(relative_path)
}

pub async fn create_png(
    png_output_path: String,
    device: &Arc<wgpu::Device>,
    output_buffer: wgpu::Buffer,
    buffer_dimensions: &BufferDimensions,
    submission_index: wgpu::SubmissionIndex,
) {
    // Note that we're not calling `.await` here.
    let buffer_slice = output_buffer.slice(..);
    // Sets the buffer up for mapping, sending over the result of the mapping back to us when it is finished.
    let (sender, receiver) = futures_intrusive::channel::shared::oneshot_channel();
    buffer_slice.map_async(wgpu::MapMode::Read, move |v| sender.send(v).unwrap());

    // Poll the device in a blocking manner so that our future resolves.
    // In an actual application, `device.poll(...)` should
    // be called in an event loop or on another thread.
    //
    // We pass our submission index so we don't need to wait for any other possible submissions.
    device.poll(wgpu::Maintain::WaitForSubmissionIndex(submission_index));
    // If a file system is available, write the buffer as a PNG
    let has_file_system_available = cfg!(not(target_arch = "wasm32"));
    if !has_file_system_available {
        return;
    }

    if let Some(Ok(())) = receiver.receive().await {
        let padded_buffer = buffer_slice.get_mapped_range();

        match File::create(&png_output_path) {
            Ok(file) => {
                let mut png_encoder = png::Encoder::new(
                    file,
                    buffer_dimensions.width as u32,
                    buffer_dimensions.height as u32,
                );
                png_encoder.set_depth(png::BitDepth::Eight);
                png_encoder.set_color(png::ColorType::Rgba);
                // png_encoder.set_source_gamma(png::ScaledFloat::new(1.0));
                // png_encoder.set_srgb(png::SrgbRenderingIntent::AbsoluteColorimetric);
                let mut png_writer = png_encoder
                    .write_header()
                    .unwrap()
                    .into_stream_writer_with_size(buffer_dimensions.unpadded_bytes_per_row)
                    .unwrap();

                // from the padded_buffer we write just the unpadded bytes into the image
                for chunk in padded_buffer.chunks(buffer_dimensions.padded_bytes_per_row) {
                    png_writer
                        .write_all(&chunk[..buffer_dimensions.unpadded_bytes_per_row])
                        .unwrap();
                }
                png_writer.finish().unwrap();

                // With the current interface, we have to make sure all mapped views are
                // dropped before we unmap the buffer.
                drop(padded_buffer);

                output_buffer.unmap();

                message_info("Output Succeeded", png_output_path.to_owned().as_str())
            }
            Err(err) => {
                message_error("create_png", &err.to_string());
            }
        }
    }
}


================================================
FILE: src/utils/message.rs
================================================
use std::{fmt::Display, sync::{Mutex, MutexGuard}};

use chrono::{DateTime, Local, Timelike, Utc};

use strum::Display;

#[derive(Display, PartialEq)]
pub enum MessageLevel {
    Info,
    Warning,
    Error,
}

pub struct Message {
    pub level: MessageLevel,
    pub title: String,
    pub content: String,
    pub time: i64,
}

impl Message {
    fn new(level: MessageLevel, title: &str, content: &str) -> Self {
        Self {
            level,
            title: String::from(title),
            content: String::from(content),
            time: Utc::now().timestamp(),
        }
    }

    fn info(title: &str, content: &str) -> Self {
        Self::new(MessageLevel::Info, title, content)
    }

    fn warning(title: &str, content: &str) -> Self {
        Self::new(MessageLevel::Warning, title, content)
    }

    fn error(title: &str, content: &str) -> Self {
        Self::new(MessageLevel::Error, title, content)
    }
}

impl Display for Message {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        let format_message = match self.level {
            MessageLevel::Info => format!("[INFO]  {}  {}", self.title, self.content),
            MessageLevel::Warning => format!("[WARNING]  {}  {}", self.title, self.content),
            MessageLevel::Error => format!("[ERROR]  {}  {}", self.title, self.content),
        }
            .replace("\n", "  ");
        f.write_str(&format_message)
    }
}

impl Message {
    pub fn display_time(&self) -> String {
        let time = chrono::NaiveDateTime::from_timestamp_opt(self.time, 0).unwrap();
        let time: DateTime<Local> = DateTime::from_utc(time, Local::now().offset().to_owned());
        let time_text = format!("{:02}:{:02}:{:02}", time.hour(), time.minute(), time.second());

        time_text
    }
}

lazy_static! {
    static ref MESSAGE_LIST: Mutex<Vec<Message>> = Mutex::new(Vec::new());
}

pub fn messenger() -> MutexGuard<'static, Vec<Message>> {
    MESSAGE_LIST.lock().unwrap()
}

pub fn message_info(title: &str, content: &str) {
    messenger().push(Message::info(title, content));
}

pub fn message_warning(title: &str, content: &str) {
    messenger().push(Message::warning(title, content));
}

pub fn message_error(title: &str, content: &str) {
    messenger().push(Message::error(title, content));
}

================================================
FILE: src/utils/mod.rs
================================================
pub mod csv_loader;
pub mod file;
pub mod message;
pub mod constant;

================================================
FILE: src/widgets/frames.rs
================================================
use eframe::epaint::Stroke;
use egui::{Color32, Vec2};

pub const DEFAULT_BUTTON_PADDING: Vec2 = egui::vec2(4.0, 1.0);
pub const TOOL_BUTTON_PADDING: Vec2 = egui::vec2(0.0, 0.0);

pub fn window_frame(style: &egui::Style) -> egui::Frame {
  egui::Frame {
      inner_margin: egui::style::Margin::symmetric(0.0, 0.0),
      rounding: egui::Rounding::same(8.0),
      fill: style.visuals.window_fill(),
      stroke: style.visuals.window_stroke(),
      ..Default::default()
  }
}

pub fn menu_panel_style(_style: &egui::Style, _is_fullscreen: bool) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin {
            left: 8.0,
            // left: if cfg!(target_os = "macos") && !is_fullscreen { 72.0 } else { 8.0 },
            right: 8.0,
            top: 3.5,
            bottom: 3.5
        },
        outer_margin: egui::style::Margin {
            bottom: 1.0,
            ..Default::default()
        },
        rounding: egui::Rounding::none(),
        fill: Color32::from_gray(56),
        // fill: style.visuals.window_fill(),
        // stroke: style.visuals.window_stroke(),
        ..Default::default()
    }
}

pub fn central_panel_frame(style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(8.0, 8.0),
        rounding: egui::Rounding::none(),
        fill: style.visuals.window_fill(),
        // stroke: style.visuals.window_stroke(),
        ..Default::default()
    }
}

pub fn inner_panel_frame(_: &egui::Style) -> egui::Frame {
  egui::Frame {
      inner_margin: egui::style::Margin::symmetric(16.0, 16.0),
      rounding: egui::Rounding::none(),
      ..Default::default()
  }
}

pub fn button_group_style(_: &egui::Style) -> egui::Frame {
  egui::Frame {
      inner_margin: egui::style::Margin::symmetric(0.0, 0.0),
      rounding: egui::Rounding::same(2.0),
      fill: Color32::from_gray(60),
      stroke: egui::Stroke::NONE,
      ..Default::default()
  }
}

pub fn tool_item_group_style(_style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(0.0, 0.0),
        rounding: egui::Rounding::same(2.0),
        fill: Color32::from_gray(30),
        stroke: Stroke {
            width: 4.0,
            color: Color32::from_gray(30),
        },
        ..Default::default()
    }
}

pub fn inspector_frame(style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(0.0, 0.0),
        rounding: egui::Rounding::none(),
        fill: style.visuals.window_fill(),
        // stroke: style.visuals.window_stroke(),
        ..Default::default()
    }
}

pub fn inspector_inner_frame(_style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(8.0, 8.0),
        rounding: egui::Rounding::none(),
        ..Default::default()
    }
}

pub fn graphics_frame(_style: &egui::Style, is_fullscreen: bool) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(0.5, 0.5),
        rounding: egui::Rounding::none(),
        fill: if is_fullscreen { Color32::TRANSPARENT } else { Color32::from_gray(20) },
        ..Default::default()
    }
}

pub fn graphics_hover_frame(style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(8.0, 4.0),
        // rounding: egui::Rounding::none(),
        rounding: egui::Rounding::same(8.0),
        fill: Color32::from_gray(20),
        stroke: style.visuals.window_stroke(),
        ..Default::default()
    }
}

pub fn toolbar_inner_frame(_style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(8.0, 8.0),
        rounding: egui::Rounding::none(),
        ..Default::default()
    }
}

pub fn toolbar_inner_frame_bottom(_style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin {
            left:   8.0,
            right:  8.0,
            top:    0.0,
            bottom: 8.0,
        },
        rounding: egui::Rounding::none(),
        ..Default::default()
    }
}

pub fn toolbar_inner_frame_top(_style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin {
            left:   8.0,
            right:  8.0,
            top:    8.0,
            bottom: 0.0,
        },
        rounding: egui::Rounding::none(),
        ..Default::default()
    }
}

pub fn toolbar_timeline_frame(style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(8.0, 8.0),
        rounding: egui::Rounding::same(4.0),
        fill: style.visuals.window_fill(),
        stroke: Stroke {
            width: 1.0,
            color: Color32::from_white_alpha(10),
        },
        ..Default::default()
    }
}

pub fn dock_frame(style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin {
            left: 8.0,
            right: 8.0,
            top: 2.0,
            bottom: 0.0
        },
        rounding: egui::Rounding::none(),
        fill: style.visuals.window_fill(),
        // stroke: style.visuals.window_stroke(),
        ..Default::default()
    }
}

pub fn drawer_frame(style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(0.0, 0.0),
        rounding: egui::Rounding::none(),
        fill: style.visuals.window_fill(),
        // stroke: style.visuals.window_stroke(),
        ..Default::default()
    }
}

pub fn drawer_title_frame(_style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin {
            left: 12.0,
            right: 12.0,
            top: 6.0,
            bottom: 6.0
        },
        rounding: egui::Rounding::none(),
        ..Default::default()
    }
}

pub fn drawer_message_content_frame(_style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin {
            left: 12.0,
            right: 6.0,
            top: 3.0,
            bottom: 3.0
        },
        ..Default::default()
    }
}

pub fn drawer_kernel_content_frame(_style: &egui::Style) -> egui::Frame {
    egui::Frame {
        inner_margin: egui::style::Margin::symmetric(6.0, 6.0),
        ..Default::default()
    }
}

================================================
FILE: src/widgets/mod.rs
================================================
// use crate::models::Models;

pub mod modal;
pub mod frames;


================================================
FILE: src/widgets/modal.rs
================================================
use egui::{Color32, Context, Id, InnerResponse, Pos2, Shape, Ui};

pub struct Modal {
    wrapper_id: Id,
    inner_id: Id,
}

impl Modal {
    pub fn new(id_source: String) -> Self {
        let wrapper_id = id_source.clone() + "_wrapper";
        Self {
            wrapper_id: Id::new(wrapper_id),
            inner_id: Id::new(id_source),
        }
    }

    pub fn show<R>(
        self,
        ctx: &Context,
        add_contents: impl FnOnce(&mut Ui) -> R,
    ) -> InnerResponse<R> {
        egui::Area::new(self.wrapper_id)
            .fixed_pos(Pos2::ZERO)
            .show(ctx, |ui| {
                let interceptor_rect = ui.ctx().input().screen_rect();
                ui.allocate_response(interceptor_rect.size(), egui::Sense::hover());
                ui.allocate_ui_at_rect(interceptor_rect, |ui| {
                    ui.painter().add(Shape::rect_filled(
                        interceptor_rect,
                        0.,
                        Color32::from_black_alpha(180),
                    ));

                    egui::Area::new(self.inner_id)
                        .anchor(egui::Align2::CENTER_CENTER, [0., 0.])
                        .order(egui::Order::Foreground)
                        .show(ui.ctx(), |ui| {
                            crate::widgets::frames::window_frame(&ui.style())
                                .show(ui, |ui| add_contents(ui))
                                .inner
                        })
                        .inner
                })
                .inner
            })
    }
}