Repository: pkinney/topo Branch: master Commit: 80c7d98f9f5c Files: 77 Total size: 12.7 MB Directory structure: gitextract_y9kxi1oa/ ├── .formatter.exs ├── .github/ │ └── workflows/ │ └── ci.yaml ├── .gitignore ├── .tool-versions ├── .travis.yml ├── CHANGELOG.md ├── LICENSE ├── README.md ├── bench/ │ ├── line_polygon_bench.exs │ ├── point_polygon_bench.exs │ ├── polygon_polygon_bench.exs │ └── shapes/ │ ├── cities.json │ ├── counties.json │ ├── interstates.json │ └── states.json ├── config/ │ └── config.exs ├── coveralls.json ├── doc/ │ ├── .build │ ├── 404.html │ ├── Topo.html │ ├── api-reference.html │ ├── dist/ │ │ ├── handlebars.runtime-NWIB6V2M.js │ │ ├── handlebars.templates-K7URE6B4.js │ │ ├── html-BHYOTRCH.js │ │ ├── html-elixir-CDEHVNM4.css │ │ ├── search_data-6BAA9AEB.js │ │ └── sidebar_items-E095BA35.js │ ├── index.html │ ├── search.html │ └── topo.epub ├── lib/ │ ├── mix/ │ │ └── tasks/ │ │ ├── generate_validation_suite.ex │ │ └── validation_cases.json │ ├── topo/ │ │ ├── cleaner.ex │ │ ├── contains.ex │ │ ├── intersects.ex │ │ ├── line_line.ex │ │ ├── line_ring.ex │ │ ├── point_line.ex │ │ ├── point_ring.ex │ │ ├── ring_ring.ex │ │ └── util.ex │ └── topo.ex ├── mix.exs └── test/ ├── fixtures/ │ └── poly.geo.json ├── input_format_test.exs ├── linestring_polygon_test.exs ├── multipoint_multipoint_test.exs ├── multipoint_multipolygon_test.exs ├── multipoint_polygon_test.exs ├── point_linestring_test.exs ├── point_multipoint_test.exs ├── point_multipolygon_test.exs ├── point_point_test.exs ├── point_polygon_test.exs ├── polygon_polygon_test.exs ├── test_helper.exs ├── topo_test.exs ├── util/ │ ├── clean_linestring_test.exs │ └── clean_polygon_test.exs └── validation/ ├── line_complex_a_test.exs ├── line_line_a_test.exs ├── line_line_b_test.exs ├── line_line_precision_test.exs ├── line_polygon_a_test.exs ├── line_polygon_b_test.exs ├── line_polygon_precision_test.exs ├── point_line_a_test.exs ├── point_line_b_test.exs ├── point_line_precision_test.exs ├── point_point_a_test.exs ├── point_point_b_test.exs ├── point_polygon_a_test.exs ├── point_polygon_b_test.exs ├── polygon_complex_a_test.exs ├── polygon_polygon_a_test.exs ├── polygon_polygon_b_test.exs └── polygon_polygon_precision_test.exs ================================================ FILE CONTENTS ================================================ ================================================ FILE: .formatter.exs ================================================ [ inputs: ["mix.exs", "{config,lib,test}/**/*.{ex,exs}"] ] ================================================ FILE: .github/workflows/ci.yaml ================================================ name: CI on: [push, pull_request] jobs: format: name: Validation of source code runs-on: ubuntu-latest steps: - uses: actions/checkout@v2.3.1 - name: Install OTP and Elixir uses: erlef/setup-beam@v1 with: otp-version: 26.0 elixir-version: 1.14.5 - name: Install dependencies run: mix deps.get - name: Run validations run: mix validate test: name: Test (Elixir ${{matrix.elixir}} | Erlang/OTP ${{matrix.otp}}) runs-on: ubuntu-latest strategy: fail-fast: false matrix: include: - elixir: 1.18.x otp: 27 - elixir: 1.18.x otp: 26 - elixir: 1.18.x otp: 25 - elixir: 1.17.x otp: 27 - elixir: 1.17.x otp: 26 - elixir: 1.17.x otp: 25 - elixir: 1.16.x otp: 26 - elixir: 1.16.x otp: 25 - elixir: 1.15.x otp: 26 - elixir: 1.15.x otp: 25 - elixir: 1.14.x otp: 26 - elixir: 1.14.x otp: 25 - elixir: 1.13.x otp: 24 - elixir: 1.12.x otp: 24 env: MIX_ENV: test steps: - uses: actions/checkout@v1 - name: Install OTP and Elixir uses: erlef/setup-beam@v1 with: otp-version: ${{matrix.otp}} elixir-version: ${{matrix.elixir}} - name: Install dependencies run: mix deps.get --only test - name: Run tests run: mix test --trace ================================================ FILE: .gitignore ================================================ /_build /cover /deps /docs erl_crash.dump *.ez .elixir_ls /.elixir-tools ================================================ FILE: .tool-versions ================================================ elixir 1.14.5-otp-26 erlang 26.0 ================================================ FILE: .travis.yml ================================================ language: elixir elixir: - 1.6 - 1.7 - 1.8 otp_release: - 19.3 - 20.3 - 21.0 matrix: exclude: - elixir: 1.7 otp_release: 19.3 - elixir: 1.7 otp_release: 20.3 - elixir: 1.8 otp_release: 19.3 - elixir: 1.8 otp_release: 20.3 script: - elixir -e "Version.match?(System.version, ~s(~> 1.6)) || System.halt(0)" -S mix format --check-formatted - mix test - mix dialyzer --halt-exit-status ================================================ FILE: CHANGELOG.md ================================================ # Change Log ## [1.0.2] - 2024-09-30 ### Changed - Fix warning about matching `0.0` vs `0` ## [1.0.1] - 2024-09-27 ### Changed - Updated Geo dependency to allow for 4.0 ## [1.0.0] - 2023-05-31 ### Added - Config option `:epsilon` that provides tolerance for float precision errors. ## [0.5.0] - 2022-02-26 ### Fixed - Fixes issue where linestrings that had a segment outside of a ring were incorrectly reported as contained. ### Changed - Uses Github Actions instead of TravisCI ## [0.4.0] - 2019-11-16 ### Fixed - Fixes bug where floating point coordinates were not evaluating as equivalent to themselves ================================================ FILE: LICENSE ================================================ The MIT License (MIT) Copyright (c) 2016 Powell Kinney 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: README.md ================================================ # Geometry Library for Elixir ![Build Status](https://github.com/pkinney/topo/actions/workflows/ci.yaml/badge.svg) [![Hex.pm](https://img.shields.io/hexpm/v/topo.svg)](https://hex.pm/packages/topo) A Geometry library for Elixir that calculates spatial relationships between two geometries. Geometries can be of any of the following types: - Point - LineString - Polygon - MultiPoint - MultiLineString - MultiPolygon ## Installation ```elixir defp deps do [{:topo, "~> 1.0"}] end ``` ## Usage **[Full Documentation](https://hexdocs.pm/topo/Topo.html)** The `Topo` module provides functions for determining the relationship between two geometries. Each function returns a boolean and accepts any combination of Point, LineString, Polygon, MultiPoint, MultiLineString, or MultiPolygon. - **`intersects?`** - Geometries **A** and **B** share at least one point in common. - **`disjoint?`** - Disjoint geometries share no points in common. This is the direct opposite of the `intersects?` result. - **`contains?`** - All points of geometry **B** lie within **A**. See section below on [Contains]. - **`within?`** - This is the direct inverse of `contains?`. All points of geometry **A** lie within geometry **B**. - **`equals?`** - Geometries **A** and **B** are equivalent and cover the exact same set of points. By definition, **A** and **B** are equal if **A** contains **B** and **B** contains **A**. Equality does not necessarily mean that the geometries are of the same type. A Point **A** is equal to a MultiPoint that contains only the same Point **A**. Each of these functions can be passed any two Geometries in either a Map with a `:type` and `:coordinates` keys or as a struct generated via the [Geo library](https://github.com/bryanjos/geo). Coordinates are represented as atoms `{x, y}` and multiple coordinates as Lists. ```elixir a = %{type: "Polygon", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} b = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} Topo.equals? a, b # => true ``` Instead of a Point geometry, just a single coordinate can be used. ```elixir a = %{type: "Polygon", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} Topo.intersects? a, {4, 6} # => true ``` The `Topo` library's functions will automatically attempt to "clean" geometries passed to them: - Linear Rings (including Polygons) will be reordered to a counter-clockwise direction. - Polygon's Linear Rings will automatically be closed if the first point is not repeated as the last point. - Points that are equal or collinear with surrounding points are removed from LineStrings or Polygons. ## A note on `contains?` There are a few non-obvious special cases that are worth mentioning: - A Polygon does not contain its own boundary. Specifically a LineString that is the exact same as a Polygon's exterior Linear ring is not contained within a that Polygon. ```elixir a = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} b = %Geo.LineString{coordinates: [{2, 2}, {20, 2}, {11, 11}, {2, 2}]} Topo.contains? a, b # => false Topo.intersects? a, b # => true ``` - A LineString does not contain it's own first and last point (unless those points are the same, as in a LinearRing) ```elixir a = %Geo.LineString{coordinates: [{1, 3}, {2, -1}, {0, -1}]} b = %Geo.LineString{coordinates: [{1, 3}, {2, -1}, {0, -1}, {1, 3}]} Topo.contains? a, {1, 3} # => false Topo.intersects? a, {1, 3} # => true Topo.contains? b, {1, 3} # => true ``` ## Float Precision Issues It is possible that floating point math imprecision can cause incorrect results for certain inputs. This is often encountered during the line segment comparison (see [LineStringPolygonTest](https://github.com/pkinney/topo/blob/master/test/linestring_polygon_test.exs) for an example). By default, `Topo` is strict on intersection math; however, if you with to allow a less strict requirement for line segment intersection, you can set an `:epsilon` value at compile time, which will be passed to the [SegSeg](https://github.com/pkinney/segseg_ex) library (see [here](https://github.com/pkinney/segseg_ex#float-precision-issues) for a more detailed explanation). In your application's config file add ```elixir config :topo, epsilon: true ``` Topo uses the `Application.config_env/3` function to avoid querying the value on each computation, so you may have to clean and recompile the dependencies of your application after changing. The default value is `false` will will apply strict comparison to the resulting floating point numbers used in calculating line segment relationships. ## Tests ```bash > mix test ``` ================================================ FILE: bench/line_polygon_bench.exs ================================================ defmodule LinePolygonBench do use Benchfella import Topo @states Path.join([ "bench", "shapes", "states.json" ]) |> File.read! |> Poison.decode! |> Map.fetch!("features") |> Enum.map(&(&1["geometry"])) |> Enum.map(&Geo.JSON.decode/1) @interstates Path.join([ "bench", "shapes", "interstates.json" ]) |> File.read! |> Poison.decode! |> Map.fetch!("features") |> Enum.map(&(&1["geometry"])) |> Enum.map(&Geo.JSON.decode/1) bench "Interstates in States" do [state] = Enum.take_random(@states, 1) [interstates] = Enum.take_random(@interstates, 1) Topo.intersects?(state, interstates) :ok end bench "Interstates in States with Envelope check" do [state] = Enum.take_random(@states, 1) [interstates] = Enum.take_random(@interstates, 1) case Envelope.intersects?(Envelope.from_geo(state), Envelope.from_geo(interstates)) do true -> Topo.intersects?(state, interstates) false -> false end :ok end end ================================================ FILE: bench/point_polygon_bench.exs ================================================ defmodule PointPolygonBench do use Benchfella import Topo @values -1..13 @points (for x <- @values, y <- @values, do: %Geo.Point{coordinates: {x, y}}) @multipoint %Geo.MultiPoint{coordinates: (for x <- @values, y <- @values, do: {x, y})} @polygon Path.join([ "test", "fixtures", "poly.geo.json" ]) |> File.read! |> Poison.decode! |> Geo.JSON.decode bench "Point / Polygon intersects" do Enum.each @points, fn point -> intersects? point, @polygon end end bench "Point inside Polygon" do intersects? {6, 7}, @polygon end bench "Point on vertex of Polygon" do intersects? {5, 7}, @polygon end bench "Point on edge of Polygon" do intersects? {5.5, 6.5}, @polygon end bench "Point outside of Polygon" do intersects? {5.5, 7}, @polygon end bench "Point way outside of Polygon" do intersects? {25, 37}, @polygon end bench "Point way outside of Polygon with envelope check" do case Envelope.contains?(Envelope.from_geo(@polygon), {25, 37}) do true -> Topo.intersects?(@polygon, {25, 37}) false -> false end end bench "MultiPoint / Polygon intersects" do intersects? @multipoint, @polygon end bench "Polygon / MultiPoint contains" do contains? @polygon, @multipoint end @states Path.join([ "bench", "shapes", "states.json" ]) |> File.read! |> Poison.decode! |> Map.fetch!("features") |> Enum.map(&(&1["geometry"])) |> Enum.map(&Geo.JSON.decode/1) @cities Path.join([ "bench", "shapes", "cities.json" ]) |> File.read! |> Poison.decode! |> Map.fetch!("features") |> Enum.map(&(&1["geometry"])) |> Enum.map(&Geo.JSON.decode/1) bench "Cities in States" do [state] = Enum.take_random(@states, 1) [city] = Enum.take_random(@cities, 1) Topo.contains?(state, city) :ok end bench "Cities in States with Envelope check" do [state] = Enum.take_random(@states, 1) [%{coordinates: {lon, lat}}] = Enum.take_random(@cities, 1) case Envelope.contains?(Envelope.from_geo(state), {lon, lat}) do true -> Topo.contains?(state, {lon, lat}) false -> false end :ok end end ================================================ FILE: bench/polygon_polygon_bench.exs ================================================ defmodule PolygonPolygonBench do use Benchfella import Topo @states Path.join([ "bench", "shapes", "states.json" ]) |> File.read! |> Poison.decode! |> Map.fetch!("features") |> Enum.map(&(&1["geometry"])) |> Enum.map(&Geo.JSON.decode/1) @counties Path.join([ "bench", "shapes", "counties.json" ]) |> File.read! |> Poison.decode! |> Map.fetch!("features") |> Enum.map(&(&1["geometry"])) |> Enum.map(&Geo.JSON.decode/1) bench "Polygon / Polygon equal" do a = "POLYGON((400 70,270 160,450 30,260 160,420 30,250 160,390 30,240 160,370 30,230 160,360 30,230 150,330 50,240 130,330 30,230 130,310 30,220 130,280 30,230 100,270 40,220 110,250 30,210 130,240 30,210 100,220 40,200 90,200 20,190 100,180 30,20 20,180 40,20 30,180 50,20 50,180 60,30 60,180 70,20 70,170 80,80 80,170 90,20 80,180 100,40 100,200 110,60 110,200 120,120 120,190 140,190 140,140 130,200 160,130 150,210 170,130 170,210 180,120 190,220 200,120 200,250 210,120 210,250 220,120 220,250 230,120 240,230 240,120 250,240 260,120 260,240 270,120 270,270 290,120 290,230 300,150 310,250 310,180 320,250 320,200 360,260 330,240 360,280 320,290 370,290 320,320 360,310 320,360 360,310 310,380 340,310 290,390 330,310 280,410 310,310 270,420 280,310 260,430 250,300 250,440 240,300 240,450 230,280 220,440 220,280 210,440 210,300 200,430 190,300 190,440 180,330 180,430 150,320 180,420 130,300 180,410 120,280 180,400 110,280 170,390 90,280 160,400 70))" |> Geo.WKT.decode b = "POLYGON((280 170,390 90,280 160,400 70,270 160,450 30,260 160,420 30,250 160,390 30,240 160,370 30,230 160,360 30,230 150,330 50,240 130,330 30,230 130,310 30,220 130,280 30,230 100,270 40,220 110,250 30,210 130,240 30,210 100,220 40,200 90,200 20,190 100,180 30,20 20,180 40,20 30,180 50,20 50,180 60,30 60,180 70,20 70,170 80,80 80,170 90,20 80,180 100,40 100,200 110,60 110,200 120,120 120,190 140,190 140,140 130,200 160,130 150,210 170,130 170,210 180,120 190,220 200,120 200,250 210,120 210,250 220,120 220,250 230,120 240,230 240,120 250,240 260,120 260,240 270,120 270,270 290,120 290,230 300,150 310,250 310,180 320,250 320,200 360,260 330,240 360,280 320,290 370,290 320,320 360,310 320,360 360,310 310,380 340,310 290,390 330,310 280,410 310,310 270,420 280,310 260,430 250,300 250,440 240,300 240,450 230,280 220,440 220,280 210,440 210,300 200,430 190,300 190,440 180,330 180,430 150,320 180,420 130,300 180,410 120,280 180,400 110,280 170))" |> Geo.WKT.decode equals? a, b end bench "Counties in States" do [state] = Enum.take_random(@states, 1) [county] = Enum.take_random(@counties, 1) Topo.intersects?(state, county) :ok end bench "Counties in States with Envelope check" do [state] = Enum.take_random(@states, 1) [county] = Enum.take_random(@counties, 1) case Envelope.intersects?(Envelope.from_geo(state), Envelope.from_geo(county)) do true -> Topo.intersects?(state, county) false -> false end :ok end end ================================================ FILE: bench/shapes/cities.json ================================================ { "type": "FeatureCollection", "crs": { "type": "name", "properties": { "name": "urn:ogc:def:crs:OGC:1.3:CRS84" } }, "features": [ { "type": "Feature", "properties": { "AREANAME": "Ewa Beach", "CLASS": "CDP", "ST": "HI", "STFIPS": "15", "PLACEFIP": "07450", "CAPITAL": "N", "AREALAND": 1.417000, "AREAWATER": 0.449000, "POP_CL": 6, "POP2000": 14650, "WHITE": 1633, "BLACK": 96, "AMERI_ES": 16, "ASIAN": 7199, "HAWN_PI": 1556, "OTHER": 151, "MULT_RACE": 3999, "HISPANIC": 1421, "MALES": 7358, "FEMALES": 7292, "AGE_UNDER5": 1052, "AGE_5_17": 3221, "AGE_18_21": 881, "AGE_22_29": 1620, "AGE_30_39": 2122, "AGE_40_49": 1920, "AGE_50_64": 2246, "AGE_65_UP": 1588, "MED_AGE": 32.700000, "MED_AGE_M": 31.600000, "MED_AGE_F": 33.800000, "HOUSEHOLDS": 3305, "AVE_HH_SZ": 4.390000, "HSEHLD_1_M": 124, "HSEHLD_1_F": 123, "MARHH_CHD": 941, "MARHH_NO_C": 1216, "MHH_CHILD": 83, "FHH_CHILD": 227, "FAMILIES": 2941, "AVE_FAM_SZ": 4.470000, "HSE_UNITS": 3515, "VACANT": 210, "OWNER_OCC": 2278, "RENTER_OCC": 1027 }, "geometry": { "type": "Point", "coordinates": [ -65.713972864386349, 59.480967182957691 ] } }, { "type": "Feature", "properties": { "AREANAME": "Halawa", "CLASS": "CDP", "ST": "HI", "STFIPS": "15", "PLACEFIP": "10000", "CAPITAL": "N", "AREALAND": 2.325000, "AREAWATER": 0.000000, "POP_CL": 6, "POP2000": 13891, "WHITE": 2153, "BLACK": 254, "AMERI_ES": 28, "ASIAN": 7070, "HAWN_PI": 1449, "OTHER": 116, "MULT_RACE": 2821, "HISPANIC": 905, "MALES": 6905, "FEMALES": 6986, "AGE_UNDER5": 779, "AGE_5_17": 2470, "AGE_18_21": 780, "AGE_22_29": 1574, "AGE_30_39": 1908, "AGE_40_49": 2080, "AGE_50_64": 2108, "AGE_65_UP": 2192, "MED_AGE": 37.400000, "MED_AGE_M": 35.800000, "MED_AGE_F": 38.800000, "HOUSEHOLDS": 4142, "AVE_HH_SZ": 3.280000, "HSEHLD_1_M": 289, "HSEHLD_1_F": 354, "MARHH_CHD": 955, "MARHH_NO_C": 1533, "MHH_CHILD": 71, "FHH_CHILD": 231, "FAMILIES": 3277, "AVE_FAM_SZ": 3.640000, "HSE_UNITS": 4289, "VACANT": 147, "OWNER_OCC": 2657, "RENTER_OCC": 1485 }, "geometry": { "type": "Point", "coordinates": [ -67.619289865934391, 58.60629490103927 ] } }, { "type": "Feature", "properties": { "AREANAME": "Hilo", "CLASS": "CDP", "ST": "HI", "STFIPS": "15", "PLACEFIP": "14650", "CAPITAL": "N", "AREALAND": 54.289000, "AREAWATER": 4.147000, "POP_CL": 6, "POP2000": 40759, "WHITE": 6976, "BLACK": 183, "AMERI_ES": 137, "ASIAN": 15610, "HAWN_PI": 5348, "OTHER": 385, "MULT_RACE": 12120, "HISPANIC": 3579, "MALES": 19950, "FEMALES": 20809, "AGE_UNDER5": 2301, "AGE_5_17": 7764, "AGE_18_21": 2663, "AGE_22_29": 3722, "AGE_30_39": 4738, "AGE_40_49": 6176, "AGE_50_64": 6572, 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-100.000381, 34.746461 ] ] ] ] } } ] } ================================================ FILE: config/config.exs ================================================ # This file is responsible for configuring your application # and its dependencies with the aid of the Mix.Config module. import Config # This configuration is loaded before any dependency and is restricted # to this project. If another project depends on this project, this # file won't be loaded nor affect the parent project. For this reason, # if you want to provide default values for your application for # 3rd-party users, it should be done in your "mix.exs" file. # You can configure for your application as: # # config :topo, key: :value # # And access this configuration in your application as: # # Application.get_env(:topo, :key) # # Or configure a 3rd-party app: # # config :logger, level: :info # # It is also possible to import configuration files, relative to this # directory. For example, you can emulate configuration per environment # by uncommenting the line below and defining dev.exs, test.exs and such. # Configuration from the imported file will override the ones defined # here (which is why it is important to import them last). # if Mix.env() == :test do config :topo, epsilon: true end ================================================ FILE: coveralls.json ================================================ { "skip_files": [ "lib/mix/tasks" ] } ================================================ FILE: doc/.build ================================================ 404.html Topo.html api-reference.html dist/handlebars.runtime-NWIB6V2M.js dist/handlebars.templates-K7URE6B4.js dist/html-BHYOTRCH.js dist/html-elixir-CDEHVNM4.css dist/inconsolata-latin-400-normal-RGKDDNDD.woff2 dist/inconsolata-latin-700-normal-DTS2D7TO.woff2 dist/inconsolata-latin-ext-400-normal-K7HVGTP7.woff2 dist/inconsolata-latin-ext-700-normal-4MPBLFZC.woff2 dist/inconsolata-vietnamese-400-normal-IGQPHHJH.woff2 dist/inconsolata-vietnamese-700-normal-LHEGSN35.woff2 dist/lato-latin-300-normal-YUMVEFOL.woff2 dist/lato-latin-400-normal-W7754I4D.woff2 dist/lato-latin-700-normal-2XVSBPG4.woff2 dist/lato-latin-ext-300-normal-VPGGJKJL.woff2 dist/lato-latin-ext-400-normal-N27NCBWW.woff2 dist/lato-latin-ext-700-normal-Q2L5DVMW.woff2 dist/remixicon-NKANDIL5.woff2 dist/search_data-6BAA9AEB.js dist/sidebar_items-E095BA35.js index.html search.html ================================================ FILE: doc/404.html ================================================ 404 — Topo v1.0.3

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================================================ FILE: doc/Topo.html ================================================ Topo — Topo v1.0.3

View Source Topo (Topo v1.0.3)

A Geometry library for Elixir that calculates relationships between two geometries. Geometries can be of any of the following types:

  • Point
  • LineString
  • Polygon
  • MultiPoint
  • MultiLineString
  • MultiPolygon

Each of these functions can be passed any two Geometries in either a Map with a :type and :coordinates keys or as a struct generated via the Geo library (https://github.com/bryanjos/geo). Coordinates are represented as atoms {x, y} and multiple coordinates as Lists.

a = %{type: "Polygon", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]}
b = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]}

Topo.equals? a, b # => true

Instead of a Point geometry, just a single coordinate can be used.

a = %{type: "Polygon", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]}

Topo.intersects? a, {4, 6} # => true

The Topo library's functions will automatically attempt to "clean" geometries passed to them:

  • Linear Rings (including Polygons) will be reordered to a counter-clockwise direction.
  • Polygon's Linear Rings will automatically be closed if the first point is not repeated as the last point.
  • Points that are equal or collinear with surrounding points are removed from LineStrings or Polygons.

Summary

Types

geometry()

Functions

contains?(a, b)

Returns true if all points of geometry B lie within A.

disjoint?(a, b)

Returns true if geometries A and B do not have any points in common.

equals?(a, b)

Geometries A and B are equivalent and cover the exact same set of points. By definition, A and B are equal if A contains B and B contains A. Equality does not necessarily mean that the geometries are of the same type. A Point A is equal to a MultiPoint that contains only the same Point A.

intersects?(a, b)

Returns true if geometries A and B share at least one point in common.

within?(a, b)

This is the direct converse of contains?. All points of geometry A lie within geometry B.

Types

Link to this type

geometry()

View Source 
@type geometry() ::
  {number(), number()}
  | %{type: String.t(), coordinates: list()}
  | %Geo.Point{coordinates: term(), properties: term(), srid: term()}
  | %Geo.MultiPoint{coordinates: term(), properties: term(), srid: term()}
  | %Geo.LineString{coordinates: term(), properties: term(), srid: term()}
  | %Geo.MultiLineString{coordinates: term(), properties: term(), srid: term()}
  | %Geo.Polygon{coordinates: term(), properties: term(), srid: term()}
  | %Geo.MultiPolygon{coordinates: term(), properties: term(), srid: term()}

Functions

Link to this function

contains?(a, b)

View Source 
@spec contains?(geometry(), geometry()) :: boolean()

Returns true if all points of geometry B lie within A.

There are a few non-obvious special cases that are worth mentioning:

  • A Polygon does not contain its own boundary. Specifically a LineString that is the exact same as a Polygon's exterior Linear ring is not contained within a that Polygon.
  a = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]}
  b = %Geo.LineString{coordinates: [{2, 2}, {20, 2}, {11, 11}, {2, 2}]}

  Topo.contains? a, b # => false
  Topo.intersects? a, b  # => true
  • A LineString does not contain it's own first and last point (unless those points are the same, as in a LinearRing)
  a = %Geo.LineString{coordinates: [{1, 3}, {2, -1}, {0, -1}]}
  b = %Geo.LineString{coordinates: [{1, 3}, {2, -1}, {0, -1}, {1, 3}]}

  Topo.contains? a, {1, 3} # => false
  Topo.intersects? a, {1, 3} # => true
  Topo.contains? b, {1, 3} # => true

Examples 

iex> Topo.contains?(
...>   %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]},
...>   %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]}
...> )
true

iex> Topo.contains?(
...>   %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]},
...>   %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]}
...> )
false
Link to this function

disjoint?(a, b)

View Source 
@spec disjoint?(geometry(), geometry()) :: boolean()

Returns true if geometries A and B do not have any points in common.

Examples 

iex> Topo.disjoint?({1, -3}, %{type: "MultiPoint", coordinates: [{70, 35}, {100, 80}]})
true

iex> Topo.disjoint?(
...>   %{type: "Polygon", coordinates: [
...>     [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}],
...>     [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}]]},
...>   %Geo.MultiPoint{coordinates: [{70, 35}, {100, 80}]}
...> )
true
Link to this function

equals?(a, b)

View Source 
@spec equals?(geometry(), geometry()) :: boolean()

Geometries A and B are equivalent and cover the exact same set of points. By definition, A and B are equal if A contains B and B contains A. Equality does not necessarily mean that the geometries are of the same type. A Point A is equal to a MultiPoint that contains only the same Point A.

Examples 

iex> Topo.equals?(
...>   %{type: "Point", coordinates: {2, -3}},
...>   %{type: "MultiPoint", coordinates: [{2, -3}]}
...> )
true

iex> Topo.equals?(
...>   %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]},
...>   %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]}
...> )
false
Link to this function

intersects?(a, b)

View Source 
@spec intersects?(geometry(), geometry()) :: boolean()

Returns true if geometries A and B share at least one point in common.

Examples 

iex> Topo.intersects?(
...>   %{type: "Polygon", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]},
...>   %{type: "LineString", coordinates: [{11, 10}, {4, 2.5}, {16, 2.5}, {11, 10}]}
...> )
true

iex> Topo.intersects?(
...>   %{type: "Polygon", coordinates: [
...>     [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}],
...>     [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}]]},
...>   %{type: "MultiPoint", coordinates: [{70, 35}, {100, 80}]}
...> )
false
Link to this function

within?(a, b)

View Source 
@spec within?(geometry(), geometry()) :: boolean()

This is the direct converse of contains?. All points of geometry A lie within geometry B.

Examples 

iex> Topo.within?(
...>   %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]},
...>   %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]}
...> )
false

iex> Topo.within?(
...>   %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]},
...>   %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]}
...> )
true
================================================ FILE: doc/api-reference.html ================================================ API Reference — Topo v1.0.3

View Source API Reference Topo v1.0.3

Modules

Topo

A Geometry library for Elixir that calculates relationships between two geometries. Geometries can be of any of the following types

================================================ FILE: doc/dist/handlebars.runtime-NWIB6V2M.js ================================================ /**! @license handlebars v4.7.7 Copyright (C) 2011-2019 by Yehuda Katz 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. 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  • Use WORD^NUMBER (such as foo^2) to boost the given word
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Please type something into the search bar to perform a search.

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Bundled license information: normalize.css/normalize.css: (*! normalize.css v8.0.1 | MIT License | github.com/necolas/normalize.css *) */ ================================================ FILE: doc/dist/search_data-6BAA9AEB.js ================================================ searchData={"items":[{"type":"module","title":"Topo","doc":"A Geometry library for Elixir that calculates relationships between two\ngeometries. Geometries can be of any of the following types:\n\n* Point\n* LineString\n* Polygon\n* MultiPoint\n* MultiLineString\n* MultiPolygon\n\nEach of these functions can be passed any two Geometries in either a Map with a\n`:type` and `:coordinates` keys or as a struct generated via the Geo library\n(https://github.com/bryanjos/geo). Coordinates are represented as atoms `{x, y}`\nand multiple coordinates as Lists.\n\n```elixir\na = %{type: \"Polygon\", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]}\nb = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]}\n\nTopo.equals? a, b # => true\n```\n\nInstead of a Point geometry, just a single coordinate can be used.\n\n```elixir\na = %{type: \"Polygon\", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]}\n\nTopo.intersects? a, {4, 6} # => true\n```\n\nThe `Topo` library's functions will automatically attempt to \"clean\" geometries\npassed to them:\n\n* Linear Rings (including Polygons) will be reordered to a counter-clockwise\ndirection.\n* Polygon's Linear Rings will automatically be closed if the first point is not\nrepeated as the last point.\n* Points that are equal or collinear with surrounding points are removed from\nLineStrings or Polygons.","ref":"Topo.html"},{"type":"function","title":"Topo.contains?/2","doc":"Returns `true` if all points of geometry **B** lie within **A**.\n\nThere are a few non-obvious special cases that are worth mentioning:\n\n - A Polygon does not contain its own boundary. Specifically a LineString that\n is the exact same as a Polygon's exterior Linear ring is not contained within a\n that Polygon.\n\n ```elixir\n a = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]}\n b = %Geo.LineString{coordinates: [{2, 2}, {20, 2}, {11, 11}, {2, 2}]}\n\n Topo.contains? a, b # => false\n Topo.intersects? a, b # => true\n ```\n\n - A LineString does not contain it's own first and last point (unless those\n points are the same, as in a LinearRing)\n\n ```elixir\n a = %Geo.LineString{coordinates: [{1, 3}, {2, -1}, {0, -1}]}\n b = %Geo.LineString{coordinates: [{1, 3}, {2, -1}, {0, -1}, {1, 3}]}\n\n Topo.contains? a, {1, 3} # => false\n Topo.intersects? a, {1, 3} # => true\n Topo.contains? b, {1, 3} # => true\n ```","ref":"Topo.html#contains?/2"},{"type":"function","title":"Examples - Topo.contains?/2","doc":"iex> Topo.contains?(\n ...> %{type: \"Polygon\", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]},\n ...> %{type: \"Polygon\", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]}\n ...> )\n true\n\n iex> Topo.contains?(\n ...> %{type: \"Polygon\", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]},\n ...> %{type: \"Polygon\", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]}\n ...> )\n false","ref":"Topo.html#contains?/2-examples"},{"type":"function","title":"Topo.disjoint?/2","doc":"Returns `true` if geometries **A** and **B** do not have any points in\ncommon.","ref":"Topo.html#disjoint?/2"},{"type":"function","title":"Examples - Topo.disjoint?/2","doc":"iex> Topo.disjoint?({1, -3}, %{type: \"MultiPoint\", coordinates: [{70, 35}, {100, 80}]})\n true\n\n iex> Topo.disjoint?(\n ...> %{type: \"Polygon\", coordinates: [\n ...> [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}],\n ...> [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}]]},\n ...> %Geo.MultiPoint{coordinates: [{70, 35}, {100, 80}]}\n ...> )\n true","ref":"Topo.html#disjoint?/2-examples"},{"type":"function","title":"Topo.equals?/2","doc":"Geometries **A** and **B** are equivalent and cover the exact\nsame set of points. By definition, **A** and **B** are equal if **A** contains\n**B** and **B** contains **A**. Equality does not necessarily mean that the\ngeometries are of the same type. A Point **A** is equal to a MultiPoint that\ncontains only the same Point **A**.","ref":"Topo.html#equals?/2"},{"type":"function","title":"Examples - Topo.equals?/2","doc":"iex> Topo.equals?(\n ...> %{type: \"Point\", coordinates: {2, -3}},\n ...> %{type: \"MultiPoint\", coordinates: [{2, -3}]}\n ...> )\n true\n\n iex> Topo.equals?(\n ...> %{type: \"Polygon\", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]},\n ...> %{type: \"Polygon\", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]}\n ...> )\n false","ref":"Topo.html#equals?/2-examples"},{"type":"function","title":"Topo.intersects?/2","doc":"Returns `true` if geometries **A** and **B** share at least one point in\ncommon.","ref":"Topo.html#intersects?/2"},{"type":"function","title":"Examples - Topo.intersects?/2","doc":"iex> Topo.intersects?(\n ...> %{type: \"Polygon\", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]},\n ...> %{type: \"LineString\", coordinates: [{11, 10}, {4, 2.5}, {16, 2.5}, {11, 10}]}\n ...> )\n true\n\n iex> Topo.intersects?(\n ...> %{type: \"Polygon\", coordinates: [\n ...> [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}],\n ...> [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}]]},\n ...> %{type: \"MultiPoint\", coordinates: [{70, 35}, {100, 80}]}\n ...> )\n false","ref":"Topo.html#intersects?/2-examples"},{"type":"function","title":"Topo.within?/2","doc":"This is the direct converse of `contains?`. All points of\ngeometry **A** lie within geometry **B**.","ref":"Topo.html#within?/2"},{"type":"function","title":"Examples - Topo.within?/2","doc":"iex> Topo.within?(\n ...> %{type: \"Polygon\", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]},\n ...> %{type: \"Polygon\", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]}\n ...> )\n false\n\n iex> Topo.within?(\n ...> %{type: \"Polygon\", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]},\n ...> %{type: \"Polygon\", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]}\n ...> )\n true","ref":"Topo.html#within?/2-examples"},{"type":"type","title":"Topo.geometry/0","doc":"","ref":"Topo.html#t:geometry/0"}],"content_type":"text/markdown","producer":{"name":"ex_doc","version":[48,46,51,50,46,50]}} ================================================ FILE: doc/dist/sidebar_items-E095BA35.js ================================================ sidebarNodes={"modules":[{"id":"Topo","deprecated":false,"group":"","title":"Topo","sections":[],"nodeGroups":[{"name":"Types","nodes":[{"id":"geometry/0","deprecated":false,"title":"geometry()","anchor":"t:geometry/0"}],"key":"types"},{"name":"Functions","nodes":[{"id":"contains?/2","deprecated":false,"title":"contains?(a, b)","anchor":"contains?/2"},{"id":"disjoint?/2","deprecated":false,"title":"disjoint?(a, b)","anchor":"disjoint?/2"},{"id":"equals?/2","deprecated":false,"title":"equals?(a, b)","anchor":"equals?/2"},{"id":"intersects?/2","deprecated":false,"title":"intersects?(a, b)","anchor":"intersects?/2"},{"id":"within?/2","deprecated":false,"title":"within?(a, b)","anchor":"within?/2"}],"key":"functions"}]}],"tasks":[],"extras":[{"id":"api-reference","group":"","title":"API Reference","headers":[{"id":"Modules","anchor":"modules"}]}]} ================================================ FILE: doc/index.html ================================================ Topo v1.0.3 — Documentation ================================================ FILE: doc/search.html ================================================ Search — Topo v1.0.3
    ================================================ FILE: lib/mix/tasks/generate_validation_suite.ex ================================================ defmodule Mix.Tasks.Validation.Gen do @moduledoc false use Mix.Task @shortdoc "Generates the ExUnit tests to cover the validation suite" @skip ~w{05-033 05-034 05-037 05-038 05-042 06-001 06-002 06-003 06-004} @groups %{ "TestRelatePP" => %{file_name: "point_point_a", module_name: "PointPointA"}, "TestRelatePL" => %{file_name: "point_line_a", module_name: "PointLineA"}, "TestRelatePA" => %{file_name: "point_polygon_a", module_name: "PointPolygonA"}, "TestRelateLL" => %{file_name: "line_line_a", module_name: "LineLineA"}, "TestRelateLA" => %{file_name: "line_polygon_a", module_name: "LinePolygonA"}, "TestRelateLC" => %{file_name: "line_complex_a", module_name: "LineComplexA"}, "TestRelateAA" => %{file_name: "polygon_polygon_a", module_name: "PolygonPolygonA"}, "TestRelateAC" => %{file_name: "polygon_complex_a", module_name: "PolygonComplexA"}, "TestFunctionPP" => %{file_name: "point_point_b", module_name: "PointPointB"}, "TestFunctionPL" => %{file_name: "point_line_b", module_name: "PointLineB"}, "TestFunctionPA" => %{file_name: "point_polygon_b", module_name: "PointPolygonB"}, "TestFunctionLL" => %{file_name: "line_line_b", module_name: "LineLineB"}, "TestFunctionLA" => %{file_name: "line_polygon_b", module_name: "LinePolygonB"}, "TestFunctionAA" => %{file_name: "polygon_polygon_b", module_name: "PolygonPolygonB"}, "TestFunctionPLPrec" => %{ file_name: "point_line_precision", module_name: "PointLinePrecision" }, "TestFunctionLLPrec" => %{file_name: "line_line_precision", module_name: "LineLinePrecision"}, "TestFunctionLAPrec" => %{ file_name: "line_polygon_precision", module_name: "LinePolygonPrecision" }, "TestFunctionAAPrec" => %{ file_name: "polygon_polygon_precision", module_name: "PolygonPolygonPrecision" } } @spec run(any) :: atom def run(_) do cases = test_cases() Enum.each(Map.keys(@groups), fn group -> group_cases = Enum.filter(cases, &(&1["group"] == group)) write_test_file( group_cases, @groups[group].module_name <> "Test", "test/validation2/#{@groups[group].file_name}_test.exs" ) end) :ok end defp test_cases() do ["lib", "mix", "tasks", "validation_cases.json"] |> Path.join() |> File.read!() |> Poison.decode!() |> Map.get("cases") |> Enum.filter(& &1["b"]) end defp write_test_file(cases, module_name, filename) do s = ~s""" defmodule Intersect.Validation.#{module_name} do use ExUnit.Case #{cases |> Enum.map(&generate_test/1)}end """ File.write!(filename, s) end defp generate_test(test_case) do title = test_case["title"] |> String.replace(~r{\[.*\]}, "") |> String.trim() tags = if test_case["id"] in @skip do "@tag :validation\n @tag :skip" else "@tag :validation" end build_test(test_case, title, tags) end defp build_test(test_case, title, tag_str) do ~s""" #{tag_str} test "#{test_case["id"]} - #{title}" do a = "#{test_case["a"]["wkt"]}" |> Geo.WKT.decode! b = "#{test_case["b"]["wkt"]}" |> Geo.WKT.decode! #{build_assertions(test_case)} end #{tag_str} test "#{test_case["id"]} - #{title} (float)" do a = "#{test_case["a"]["wkt"] |> convert_to_float()}" |> Geo.WKT.decode! b = "#{test_case["b"]["wkt"] |> convert_to_float()}" |> Geo.WKT.decode! #{build_assertions(test_case)} end """ end defp build_assertions(test_case) do build_symetric_assertion(test_case, "intersects") <> build_symetric_assertion(test_case, "disjoint") <> build_asymetric_assertion(test_case, "contains") <> build_asymetric_assertion(test_case, "within") <> build_symetric_assertion(test_case, "equals") end defp build_asymetric_assertion(test_case, relationship) do ~s""" assert Topo.#{relationship}?(a, b) == #{test_case["relationship"][relationship]} """ end defp build_symetric_assertion(test_case, relationship) do ~s""" assert Topo.#{relationship}?(a, b) == #{test_case["relationship"][relationship]} assert Topo.#{relationship}?(b, a) == #{test_case["relationship"][relationship]} """ end defp convert_to_float(wkt) when is_binary(wkt) do geometry = Geo.WKT.decode!(wkt) Geo.WKT.encode!(%{geometry | coordinates: convert_to_float(geometry.coordinates)}) end defp convert_to_float([value]), do: [convert_to_float(value)] defp convert_to_float([value | rest]), do: [convert_to_float(value)] ++ convert_to_float(rest) defp convert_to_float({a, b}), do: {a * 1.0, b * 1.0} end ================================================ FILE: lib/mix/tasks/validation_cases.json ================================================ { "cases": [ { "group": "TestRelatePP", "category": "relate", "title": "P/P: same point [dim(0){A.P.Int = B.P.Int}]", "id": "01-001", "a": { "wkt": "POINT (20 20)", "geometry": { "type": "Point", "coordinates": [ 20, 20 ] } }, "b": { "wkt": "POINT (20 20)", "geometry": { "type": "Point", "coordinates": [ 20, 20 ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "0FFFFFFF2" } }, { "group": "TestRelatePP", "category": "relate", "title": "P/P: different point [dim(0){A.P.Int = B.P.Ext}]", "id": "01-002", "a": { "wkt": "POINT (20 20)", "geometry": { "type": "Point", "coordinates": [ 20, 20 ] } }, "b": { "wkt": "POINT (40 60)", "geometry": { "type": "Point", "coordinates": [ 40, 60 ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF0F2" } }, { "group": "TestRelatePP", "category": "relate", "title": "P/mP: different points [dim(0){A.P.Int = B.3P.Ext}]", "id": "01-003", "a": { "wkt": "POINT (40 40)", "geometry": { "type": "Point", "coordinates": [ 40, 40 ] } }, "b": { "wkt": "MULTIPOINT (20 20, 80 80, 20 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 20 ], [ 80, 80 ], [ 20, 120 ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF0F2" } }, { "group": "TestRelatePP", "category": "relate", "title": "P/mP: point A within one of B points [dim(0){A.P.Int = B.3P1.Int}]", "id": "01-004", "a": { "wkt": "POINT (20 20)", "geometry": { "type": "Point", "coordinates": [ 20, 20 ] } }, "b": { "wkt": "MULTIPOINT (20 20, 80 80, 20 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 20 ], [ 80, 80 ], [ 20, 120 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "0FFFFF0F2" } }, { "group": "TestRelatePP", "category": "relate", "title": "mP/mP-1-1: same points [dim(0){A.3P1.Int = B.3P1.Int}, dim(0){A.3P2.Int = B.3P2.Int}, dim(0){A.3P3.Int = B.3P3.Int}]", "id": "01-005", "a": { "wkt": "MULTIPOINT (40 40, 80 60, 120 100)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 40, 40 ], [ 80, 60 ], [ 120, 100 ] ] } }, "b": { "wkt": "MULTIPOINT (40 40, 80 60, 120 100)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 40, 40 ], [ 80, 60 ], [ 120, 100 ] ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "0FFFFFFF2" } }, { "group": "TestRelatePP", "category": "relate", "title": "mP/mP-1-2: same but different sequence of points [dim(0){A.3P1.Int = B.3P1.Int}, dim(0){A.3P1.Int = B.3P3.Int}, dim(0){A.3P3.Int = B.3P2.Int}]", "id": "01-006", "a": { "wkt": "MULTIPOINT (40 40, 80 60, 120 100)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 40, 40 ], [ 80, 60 ], [ 120, 100 ] ] } }, "b": { "wkt": "MULTIPOINT (40 40, 120 100, 80 60)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 40, 40 ], [ 120, 100 ], [ 80, 60 ] ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "0FFFFFFF2" } }, { "group": "TestRelatePP", "category": "relate", "title": "mP/mP-2: different points [dim(0){A.4P.Int = B.4P.Ext}]", "id": "01-007", "a": { "wkt": "MULTIPOINT (40 40, 60 100, 100 60, 120 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 40, 40 ], [ 60, 100 ], [ 100, 60 ], [ 120, 120 ] ] } }, "b": { "wkt": "MULTIPOINT (20 120, 60 60, 100 100, 140 40)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 120 ], [ 60, 60 ], [ 100, 100 ], [ 140, 40 ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF0F2" } }, { "group": "TestRelatePP", "category": "relate", "title": "mP/mP-5-1: same points [dim(0){A.4P.Int = B.4P.Int}]", "id": "01-008", "a": { "wkt": "MULTIPOINT (20 20, 80 70, 140 120, 200 170)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 20 ], [ 80, 70 ], [ 140, 120 ], [ 200, 170 ] ] } }, "b": { "wkt": "MULTIPOINT (20 20, 80 70, 140 120, 200 170)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 20 ], [ 80, 70 ], [ 140, 120 ], [ 200, 170 ] ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "0FFFFFFF2" } }, { "group": "TestRelatePP", "category": "relate", "title": "mP/mP-5-2: same points but different sequence [dim(0){A.4P.Int = B.4P.Int}]", "id": "01-009", "a": { "wkt": "MULTIPOINT (20 20, 140 120, 80 70, 200 170)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 20 ], [ 140, 120 ], [ 80, 70 ], [ 200, 170 ] ] } }, "b": { "wkt": "MULTIPOINT (80 70, 20 20, 200 170, 140 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 80, 70 ], [ 20, 20 ], [ 200, 170 ], [ 140, 120 ] ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "0FFFFFFF2" } }, { "group": "TestRelatePP", "category": "relate", "title": "mP/mP-5-3: some points same [dim(0){A.4P2.Int = B.2P1.Int}, dim(0){A.4P3.Int = B.2P2.Int}]", "id": "01-010", "a": { "wkt": "MULTIPOINT (20 20, 80 70, 140 120, 200 170)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 20 ], [ 80, 70 ], [ 140, 120 ], [ 200, 170 ] ] } }, "b": { "wkt": "MULTIPOINT (80 70, 140 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 80, 70 ], [ 140, 120 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": true, "overlaps": false, "de9im": "0F0FFFFF2" } }, { "group": "TestRelatePP", "category": "relate", "title": "mP/mP-5-4: some points same, in a different sequence [dim(0){A.4P1.Int = B.2P2.Int}, dim(0){A.4P4.Int = B.2P1.Int}]", "id": "01-011", "a": { "wkt": "MULTIPOINT (80 70, 20 20, 200 170, 140 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 80, 70 ], [ 20, 20 ], [ 200, 170 ], [ 140, 120 ] ] } }, "b": { "wkt": "MULTIPOINT (140 120, 80 70)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 140, 120 ], [ 80, 70 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": true, "overlaps": false, "de9im": "0F0FFFFF2" } }, { "group": "TestRelatePP", "category": "relate", "title": "mP/mP-6-1: some points same, some different [dim(0){A.4P4.Int = B.3P2.Int}]", "id": "01-012", "a": { "wkt": "MULTIPOINT (80 70, 20 20, 200 170, 140 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 80, 70 ], [ 20, 20 ], [ 200, 170 ], [ 140, 120 ] ] } }, "b": { "wkt": "MULTIPOINT (80 170, 140 120, 200 80)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 80, 170 ], [ 140, 120 ], [ 200, 80 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": true, "de9im": "0F0FFF0F2" } }, { "group": "TestRelatePP", "category": "relate", "title": "mP/mP-6-2: dim(0){A.4P1.Int = B.4P4.Int}, dim(0){A.4P4.Int = B.4P2.Int}", "id": "01-013", "a": { "wkt": "MULTIPOINT (80 70, 20 20, 200 170, 140 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 80, 70 ], [ 20, 20 ], [ 200, 170 ], [ 140, 120 ] ] } }, "b": { "wkt": "MULTIPOINT (80 170, 140 120, 200 80, 80 70)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 80, 170 ], [ 140, 120 ], [ 200, 80 ], [ 80, 70 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": true, "de9im": "0F0FFF0F2" } }, { "group": "TestRelatePL", "category": "relate", "title": "P/L-2: a point and a line disjoint [dim(0){A.P.Int = B.L.Ext}]", "id": "02-001", "a": { "wkt": "POINT (110 200)", "geometry": { "type": 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300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-3-1: one of the points intersecting the start point of a line [dim(0){A.3P2.Int = B.L.Bdy.SP}]", "id": "02-085", "a": { "wkt": "MULTIPOINT (50 120, 90 80, 130 40)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 50, 120 ], [ 90, 80 ], [ 130, 40 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F00FFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-3-2: one of the points intersecting the end point of a line [dim(0){A.3P2 = B.L.Bdy.EP}]", "id": "02-086", "a": { "wkt": "MULTIPOINT (300 280, 340 240, 380 200)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 300, 280 ], [ 340, 240 ], [ 380, 200 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F00FFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-4-1: one of the points intersecting the interior of a line at a non-vertex (points on one side of the line) [dim(0){A.3P1.Int = B.L.Int.NV]", "id": "02-087", "a": { "wkt": "MULTIPOINT (230 150, 260 120, 290 90)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 230, 150 ], [ 260, 120 ], [ 290, 90 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F0FFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-4-2: one of the points intersecting the interior of a line at a non-vertex (points over the line) [dim(0){A.3P2.Int = B.L.Int.NV]", "id": "02-088", "a": { "wkt": "MULTIPOINT (200 190, 240 150, 270 110)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 200, 190 ], [ 240, 150 ], [ 270, 110 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F0FFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-4-3: one of the points intersecting the interior of a line at a vertex (points on one side of the line) [dim(0){A.3P1.Int = B.L.Int.V]", "id": "02-089", "a": { "wkt": "MULTIPOINT (160 150, 190 120, 220 90)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 160, 150 ], [ 190, 120 ], [ 220, 90 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F0FFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-4-4: one of the points intersecting the interior of a line at a vertex (points over the line) [dim(0){A.3P2.Int = B.L.Int.V]", "id": "02-090", "a": { "wkt": "MULTIPOINT (120 190, 160 150, 200 110)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 120, 190 ], [ 160, 150 ], [ 200, 110 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F0FFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-5-1: all the points on a line [dim(0){A.3P1.Int = B.L.Bdy.SP}, dim(0){A.3P2.Int = B.L.Int.V}, dim(0){A.3P3.Int = B.Bdy.EP}]", "id": "02-091", "a": { "wkt": "MULTIPOINT (90 80, 160 150, 340 240)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 340, 240 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "00FFFF1F2" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-5-2: all the points on a line [dim(0){A.3P1.Int = B.L.Bdy.SP}, dim(0){A.3P2.Int = B.L.Int.V}, dim(0){A.3P3.Int = B.Int.V}]", "id": "02-092", "a": { "wkt": "MULTIPOINT (90 80, 160 150, 300 150)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "00FFFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-5-3: all the points on a line [dim(0){A.3P1.Int = B.L.Bdy.SP}, dim(0){A.3P2.Int = B.L.Int.V}, dim(0){A.3P3.Int = B.Int.NV}]", "id": "02-093", "a": { "wkt": "MULTIPOINT (90 80, 160 150, 240 150)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 240, 150 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "00FFFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-5-4: all the points on a line [dim(0){A.3P1.Int = B.L.Bdy.SP}, dim(0){A.3P2.Int = B.L.Int.NV}, dim(0){A.3P3.Int = B.Int.NV}]", "id": "02-094", "a": { "wkt": "MULTIPOINT (90 80, 130 120, 210 150)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 90, 80 ], [ 130, 120 ], [ 210, 150 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "00FFFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-5-5: all the points on a line [dim(0){A.3P1.Int = B.L.Int.NV}, dim(0){A.3P2.Int = B.L.Int.NV}, dim(0){A.3P3.Int = B.Int.NV}]", "id": "02-095", "a": { "wkt": "MULTIPOINT (130 120, 210 150, 340 200)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 130, 120 ], [ 210, 150 ], [ 340, 200 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "0FFFFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-5-6: all the points on a line [dim(0){A.3P1.Int = B.L.Int.V}, dim(0){A.3P2.Int = B.L.Int.V}, dim(0){A.3P3.Int = B.Int.NV}]", "id": "02-096", "a": { "wkt": "MULTIPOINT (160 150, 240 150, 340 210)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 160, 150 ], [ 240, 150 ], [ 340, 210 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "0FFFFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-5-7: all the points on a line [dim(0){A.3P1.Int = B.L.Int.V}, dim(0){A.3P2.Int = B.L.Int.V}, dim(0){A.3P3.Int = B.Int.V}]", "id": "02-097", "a": { "wkt": "MULTIPOINT (160 150, 300 150, 340 150)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 160, 150 ], [ 300, 150 ], [ 340, 150 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "0FFFFF102" } }, { "group": "TestRelatePL", "category": "relate", "title": "mP/L-5-8: all the points on a line [dim(0){A.3P1.Int = B.L.Int.V}, dim(0){A.3P2.Int = B.L.Int.NV}, dim(0){A.3P3.Int = B.Bdy.EP}]", "id": "02-098", "a": { "wkt": "MULTIPOINT (160 150, 240 150, 340 240)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 160, 150 ], [ 240, 150 ], [ 340, 240 ] ] } }, "b": { "wkt": "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 80 ], [ 160, 150 ], [ 300, 150 ], [ 340, 150 ], [ 340, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "00FFFF102" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-2-1: a point outside a polygon [dim(0){A.P.Int = B.A.Ext}]", "id": "03-001", "a": { "wkt": "POINT (20 20)", "geometry": { "type": "Point", "coordinates": [ 20, 20 ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-2-2: a point outside a converx polygon [dim(0){A.P.Int = B.A.Ext}]", "id": "03-002", "a": { "wkt": "POINT (70 170)", "geometry": { "type": "Point", "coordinates": [ 70, 170 ] } }, "b": { "wkt": "POLYGON ((110 230, 80 160, 20 160, 20 20, 200 20, 200 160, 140 160, 110 230))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 110, 230 ], [ 80, 160 ], [ 20, 160 ], [ 20, 20 ], [ 200, 20 ], [ 200, 160 ], [ 140, 160 ], [ 110, 230 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-2-3: a point outside a concave polygon [dim(0){A.P.Int = B.A.Ext}]", "id": "03-003", "a": { "wkt": "POINT (110 130)", "geometry": { "type": "Point", "coordinates": [ 110, 130 ] } }, "b": { "wkt": "POLYGON ((20 160, 80 160, 110 100, 140 160, 200 160, 200 20, 20 20, 20 160))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 20, 160 ], [ 80, 160 ], [ 110, 100 ], [ 140, 160 ], [ 200, 160 ], [ 200, 20 ], [ 20, 20 ], [ 20, 160 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-2-4: dim(0){A.P.Int = B.A.Ext}", "id": "03-004", "a": { "wkt": "POINT (100 70)", "geometry": { "type": "Point", "coordinates": [ 100, 70 ] } }, "b": { "wkt": "POLYGON ((20 150, 100 150, 40 50, 170 50, 110 150, 190 150, 190 20, 20 20, 20 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 20, 150 ], [ 100, 150 ], [ 40, 50 ], [ 170, 50 ], [ 110, 150 ], [ 190, 150 ], [ 190, 20 ], [ 20, 20 ], [ 20, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-2-5: a point outside a concave polygon [dim(0){A.P.Int = B.A.Ext}]", "id": "03-005", "a": { "wkt": "POINT (100 70)", "geometry": { "type": "Point", "coordinates": [ 100, 70 ] } }, "b": { "wkt": "POLYGON ((20 150, 100 150, 40 50, 160 50, 100 150, 180 150, 180 20, 20 20, 20 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 20, 150 ], [ 100, 150 ], [ 40, 50 ], [ 160, 50 ], [ 100, 150 ], [ 180, 150 ], [ 180, 20 ], [ 20, 20 ], [ 20, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-3-1: a point on the closing point of a polygon [dim(0){A.P.Int = B.A.Bdy.CP}]", "id": "03-006", "a": { "wkt": "POINT (60 120)", "geometry": { "type": "Point", "coordinates": [ 60, 120 ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-3-2: a point on the boudary of a polygon at a non-vertex [dim(0){A.P.Int = B.A.Bdy.NV}]", "id": "03-007", "a": { "wkt": "POINT (110 120)", "geometry": { "type": "Point", "coordinates": [ 110, 120 ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-3-3: a point on the boundary of a polygon at a vertex [dim(0){A.P.Int = B.A.Bdy.V]", "id": "03-008", "a": { "wkt": "POINT (160 120)", "geometry": { "type": "Point", "coordinates": [ 160, 120 ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-3-4: a point on the touching point of boudary [dim(0){A.P.Int = B.A.Bdy.TP}]", "id": "03-009", "a": { "wkt": "POINT (100 150)", "geometry": { "type": "Point", "coordinates": [ 100, 150 ] } }, "b": { "wkt": "POLYGON ((20 150, 100 150, 40 50, 160 50, 100 150, 180 150, 180 20, 20 20, 20 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 20, 150 ], [ 100, 150 ], [ 40, 50 ], [ 160, 50 ], [ 100, 150 ], [ 180, 150 ], [ 180, 20 ], [ 20, 20 ], [ 20, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A-5: a point on the interior of a polygon [dim(0){A.P.Int = B.A.Int}]", "id": "03-010", "a": { "wkt": "POINT (100 80)", "geometry": { "type": "Point", "coordinates": [ 100, 80 ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "0FFFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/Ah-2-1: a point outside of polygon with a hole [dim(0){A.P.Int = B.A.Ext}]", "id": "03-011", "a": { "wkt": "POINT (60 160)", "geometry": { "type": "Point", "coordinates": [ 60, 160 ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/Ah-2-2: a point inside the hole of the polygon [dim(0){A.P.Int = B.A.Ext.h}]", "id": "03-012", "a": { "wkt": "POINT (190 90)", "geometry": { "type": "Point", "coordinates": [ 190, 90 ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/Ah-3-1: a point on the closing point of the outer boundary of a polygon with a hole [dim(0){A.P.Int = B.A.oBdy.CP}]", "id": "03-013", "a": { "wkt": "POINT (190 190)", "geometry": { "type": "Point", "coordinates": [ 190, 190 ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/Ah-3-2: a point on the outer boundary of a polygon at a vertex [dim(0){A.P.Int = B.A.oBdy.V}]", "id": "03-014", "a": { "wkt": "POINT (360 20)", "geometry": { "type": "Point", "coordinates": [ 360, 20 ] } }, "b": { "wkt": "POLYGON 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false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/Ah-3-4: a point on the closing point of the inner boundary of a polygon [dim(0){A.P.Int = B.A.iBdy.CP}]", "id": "03-016", "a": { "wkt": "POINT (280 50)", "geometry": { "type": "Point", "coordinates": [ 280, 50 ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/Ah-3-5: a point on the inner boundary of a polygon at a non-vertex [dim(0){A.P.Int = B.A.iBdy.NV}]", "id": "03-017", "a": { "wkt": "POINT (150 100)", "geometry": { "type": "Point", "coordinates": [ 150, 100 ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/Ah-3-6: a point on the inner boundary of a polygon at a vertex [dim(0){A.P.Int = B.A.iBdy.V}]", "id": "03-018", "a": { "wkt": "POINT (100 50)", "geometry": { "type": "Point", "coordinates": [ 100, 50 ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/Ah-5: a point inside the interior of a polygon with a hole [dim(0){A.P.Int = B.A.Int}]", "id": "03-019", "a": { "wkt": "POINT (140 120)", "geometry": { "type": "Point", "coordinates": [ 140, 120 ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "0FFFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A2h-3-1: a point on the touching point of two holes in a polygon [dim(0){A.P.Int = B.A.iBdy.TP}]", "id": "03-020", "a": { "wkt": "POINT (190 50)", "geometry": { "type": "Point", "coordinates": [ 190, 50 ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(90 50, 150 110, 190 50, 90 50),(190 50, 230 110, 290 50, 190 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 90, 50 ], [ 150, 110 ], [ 190, 50 ], [ 90, 50 ] ], [ [ 190, 50 ], [ 230, 110 ], [ 290, 50 ], [ 190, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/A2h-3-2: a point on the touching point of two holes in a polygon [dim(0){A.P.Int = B.A.iBdy.TP}]", "id": "03-021", "a": { "wkt": "POINT (180 90)", "geometry": { "type": "Point", "coordinates": [ 180, 90 ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(180 140, 180 40, 80 40, 180 140),(180 90, 210 140, 310 40, 230 40, 180 90))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 180, 140 ], [ 180, 40 ], [ 80, 40 ], [ 180, 140 ] ], [ [ 180, 90 ], [ 210, 140 ], [ 310, 40 ], [ 230, 40 ], [ 180, 90 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-2: 3 points outside a polygon [dim(0){A.2P.Int = B.A.Ext}]", "id": "03-022", "a": { "wkt": "MULTIPOINT (20 80, 110 160, 20 160)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 80 ], [ 110, 160 ], [ 20, 160 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-3-1: one of 3 points on the closing point of the boundary of a polygon [dim(0){A.3P1.Int = B.A.Bdy.CP}]", "id": "03-023", "a": { "wkt": "MULTIPOINT (20 80, 60 120, 20 160)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 80 ], [ 60, 120 ], [ 20, 160 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F00FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-3-2: one of 3 points on the boundary of a polygon at a non-vertex [dim(0){A.3P3 = B.A.Bdy.NV}]", "id": "03-024", "a": { "wkt": "MULTIPOINT (10 80, 110 170, 110 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 10, 80 ], [ 110, 170 ], [ 110, 120 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F00FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-3-3: one of 3 points on the boundary of a polygon at a vertex [dim(0){A.3P1.Int = B.A.Bdy.V}]", "id": "03-025", "a": { "wkt": "MULTIPOINT (10 80, 110 170, 160 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 10, 80 ], [ 110, 170 ], [ 160, 120 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F00FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-3-4: 3 of the 5 points on the boundary of a polygon [dim(0){A.5P2.Int = B.A.Bdy.CP}, dim(0){A.5P3.Int = B.A.Bdy.NV}, dim(0){A.5P4.Int = B.A.Bdy.V}]", "id": "03-026", "a": { "wkt": "MULTIPOINT (20 120, 60 120, 110 120, 160 120, 200 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 120 ], [ 60, 120 ], [ 110, 120 ], [ 160, 120 ], [ 200, 120 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F00FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-3-5: all 3 points on the boundary of a polygon [dim(0){A.3P1.Int = B.A.Bdy.CP}, dim(0){A.3P2.Int = B.A.Bdy.NV}, dim(0){A.3P3.Int = B.A.Bdy.V}]", "id": "03-027", "a": { "wkt": "MULTIPOINT (60 120, 110 120, 160 120)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 60, 120 ], [ 110, 120 ], [ 160, 120 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-3-6: all 4 points on the boundary of a polygon [dim(0){A.4P = B.A.Bdy}]", "id": "03-028", "a": { "wkt": "MULTIPOINT (60 120, 160 120, 160 40, 60 40)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 60, 120 ], [ 160, 120 ], [ 160, 40 ], [ 60, 40 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-4-1: 1 point outside a polygon, 1 point on the boundary and 1 point inside [dim(0){A.3P1.Int = B.A.Ext}, dim(0){A.3P2.Int = B.A.Bdy.CP}, dim(0){A.3P3.Int = B.A.Int}]", "id": "03-029", "a": { "wkt": "MULTIPOINT (20 150, 60 120, 110 80)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 20, 150 ], [ 60, 120 ], [ 110, 80 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "000FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-4-2: 1 point outside a polygon, 1 point on the boundary and 1 point inside [dim(0){A.3P1.Int = B.A.Ext}, dim(0){A.3P2.Int = B.A.Bdy.V}, dim(0){A.3P3.Int = B.A.Int}]", "id": "03-030", "a": { "wkt": "MULTIPOINT (110 80, 160 120, 200 160)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 110, 80 ], [ 160, 120 ], [ 200, 160 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "000FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-4-3: 1 point outside a polygon, 1 point on the boundary and 1 point inside [dim(0){A.3P1.Int = B.A.Ext}, dim(0){A.3P2.Int = B.A.Bdy.NV}, dim(0){A.3P3.Int = B.A.Int}]", "id": "03-031", "a": { "wkt": "MULTIPOINT (110 80, 110 120, 110 160)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 110, 80 ], [ 110, 120 ], [ 110, 160 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "000FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-4-4: 1 point outside a polygon, 1 point inside [dim(0){A.2P1.Int = B.A.Ext}, dim(0){A.2P2.Int = B.A.Int}]", "id": "03-032", "a": { "wkt": "MULTIPOINT (110 170, 110 80)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 110, 170 ], [ 110, 80 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-4-5: 1 point outside a polygon, 2 points on the boundary and 1 point inside [dim(0){A.4P1.Int = B.A.Ext}, dim(0){A.4P2.Int = B.A.Bdy.CP}, dim(0){A.4P3.Int = B.A.Bdy.V}, dim(0){A.4P4.Int = B.A.Int}]", "id": "03-033", "a": { "wkt": "MULTIPOINT (60 120, 160 120, 110 80, 110 170)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 60, 120 ], [ 160, 120 ], [ 110, 80 ], [ 110, 170 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "000FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-5-1: 2 points within a polygon [dim(0){A.2P.Int = B.A.Int]", "id": "03-034", "a": { "wkt": "MULTIPOINT (90 80, 130 80)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 90, 80 ], [ 130, 80 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "0FFFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/A-5-2: 1 point on the boundary and 1 point inside a polygon [dim(0){A.2P1.Int = B.A.Bdy.CP}, dim(0){A.2P2.Int = B.A.Int}]", "id": "03-035", "a": { "wkt": "MULTIPOINT (60 120, 160 120, 110 80)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 60, 120 ], [ 160, 120 ], [ 110, 80 ] ] } }, "b": { "wkt": "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 60, 120 ], [ 60, 40 ], [ 160, 40 ], [ 160, 120 ], [ 60, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "00FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/Ah-2-1: 3 points outside a polygon [dim(0){A.3P.Int = B.Ah.Ext}]", "id": "03-036", "a": { "wkt": "MULTIPOINT (40 170, 40 90, 130 170)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 40, 170 ], [ 40, 90 ], [ 130, 170 ] ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/Ah-2-2: 2 points outside a polygon and 1 point inside the hole of the polygon [dim(0){A.3P1.Int = B.Ah.Ext}, dim(0){A.3P2.Int = B.Ah.Ext}, dim(0){A.3P3.Int = B.Ah.Ext.h}]", "id": "03-037", "a": { "wkt": "MULTIPOINT (90 170, 280 170, 190 90)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 90, 170 ], [ 280, 170 ], [ 190, 90 ] ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "mP/Ah-2-3: all 3 points in polygon's hole [dim(0){A.3P.Int = B.Ah.Ext.h}]", "id": "03-038", "a": { "wkt": "MULTIPOINT (190 110, 150 70, 230 70)", "geometry": { "type": "MultiPoint", "coordinates": [ [ 190, 110 ], [ 150, 70 ], [ 230, 70 ] ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 280, 50 ], [ 100, 50 ], [ 190, 140 ], [ 280, 50 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF0FFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/mA-3-1: a point on the touching point of two polygons [dim(0){A.P.Int = B.2A.Bdy}]", "id": "03-039", "a": { "wkt": "POINT (100 100)", "geometry": { "type": "Point", "coordinates": [ 100, 100 ] } }, "b": { "wkt": "MULTIPOLYGON (((20 100, 20 20, 100 20, 100 100, 20 100)),((100 180, 100 100, 180 100, 180 180, 100 180)))", "geometry": { "type": "MultiPolygon", "coordinates": [ [ [ [ 20, 100 ], [ 20, 20 ], [ 100, 20 ], [ 100, 100 ], [ 20, 100 ] ] ], [ [ [ 100, 180 ], [ 100, 100 ], [ 180, 100 ], [ 180, 180 ], [ 100, 180 ] ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/mA-3-2: a point on the boundary of one of the 2 polygons [dim(0){A.P.Int = B.2A1.Bdy.CP}]", "id": "03-040", "a": { "wkt": "POINT (20 100)", "geometry": { "type": "Point", "coordinates": [ 20, 100 ] } }, "b": { "wkt": "MULTIPOLYGON (((20 100, 20 20, 100 20, 100 100, 20 100)),((100 180, 100 100, 180 100, 180 180, 100 180)))", "geometry": { "type": "MultiPolygon", "coordinates": [ [ [ [ 20, 100 ], [ 20, 20 ], [ 100, 20 ], [ 100, 100 ], [ 20, 100 ] ] ], [ [ [ 100, 180 ], [ 100, 100 ], [ 180, 100 ], [ 180, 180 ], [ 100, 180 ] ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/mA-3-3: a point on the boundary of one of the 2 polygons [dim(0){A.P.Int = B.2A1.Bdy.V}]", "id": "03-041", "a": { "wkt": "POINT (60 100)", "geometry": { "type": "Point", "coordinates": [ 60, 100 ] } }, "b": { "wkt": "MULTIPOLYGON (((20 100, 20 20, 100 20, 100 100, 20 100)),((100 180, 100 100, 180 100, 180 180, 100 180)))", "geometry": { "type": "MultiPolygon", "coordinates": [ [ [ [ 20, 100 ], [ 20, 20 ], [ 100, 20 ], [ 100, 100 ], [ 20, 100 ] ] ], [ [ [ 100, 180 ], [ 100, 100 ], [ 180, 100 ], [ 180, 180 ], [ 100, 180 ] ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelatePA", "category": "relate", "title": "P/mA-3-4: a point touching a polygon's boundary where the boundaries touch at a point [dim(0){A.P.Int = B.2A.Bdy.TP}]", "id": "03-042", "a": { "wkt": "POINT (110 110)", "geometry": { "type": "Point", "coordinates": [ 110, 110 ] } }, "b": { "wkt": "MULTIPOLYGON (((110 110, 20 200, 200 200, 110 110),(110 110, 80 180, 140 180, 110 110)),((110 110, 20 20, 200 20, 110 110),(110 110, 80 40, 140 40, 110 110)))", "geometry": { "type": "MultiPolygon", "coordinates": [ [ [ [ 110, 110 ], [ 20, 200 ], [ 200, 200 ], [ 110, 110 ] ], [ [ 110, 110 ], [ 80, 180 ], [ 140, 180 ], [ 110, 110 ] ] ], [ [ [ 110, 110 ], [ 20, 20 ], [ 200, 20 ], [ 110, 110 ] ], [ [ 110, 110 ], [ 80, 40 ], [ 140, 40 ], [ 110, 110 ] ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F0FFFF212" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-3-1: touching at the start points of two lines [dim(0){A.L.Bdy.SP = B.L.Bdy.SP}]", "id": "04-001", "a": { "wkt": "LINESTRING (40 40, 120 120)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 120, 120 ] ] } }, "b": { "wkt": "LINESTRING (40 40, 60 120)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 60, 120 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-3-2: start point of one line touching end point of another line [dim(0){A.L.Bdy.SP = B.L.Bdy.EP}]", "id": "04-002", "a": { "wkt": "LINESTRING (40 40, 120 120)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 120, 120 ] ] } }, "b": { "wkt": "LINESTRING (60 240, 40 40)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 240 ], [ 40, 40 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-3-3: start point of a line touching the interior of another line at a non-vertex [dim(0){A.L.Bdy.SP = B.L.Int.NV}]", "id": "04-003", "a": { "wkt": "LINESTRING (40 40, 180 180)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 180, 180 ] ] } }, "b": { "wkt": "LINESTRING (120 120, 20 200)", "geometry": { "type": "LineString", "coordinates": [ [ 120, 120 ], [ 20, 200 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-3-4: touching at the end points of two lines [dim(0){A.L.Bdy.EP = B.L.Bdy.EP}]", "id": "04-004", "a": { "wkt": "LINESTRING (40 40, 120 120)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 120, 120 ] ] } }, "b": { "wkt": "LINESTRING (60 240, 120 120)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 240 ], [ 120, 120 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-3-5: end point of a line touching the interior of another line at a non-vertex [dim(0){A.L.Bdy.EP = B.L.Int.NV}]", "id": "04-005", "a": { "wkt": "LINESTRING (40 40, 180 180)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 180, 180 ] ] } }, "b": { "wkt": "LINESTRING (20 180, 140 140)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 180 ], [ 140, 140 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-4-1: two lines crossing at non-vertex [dim(0){A.L.Int.NV = B.L.Int.NV}]", "id": "04-006", "a": { "wkt": "LINESTRING (40 40, 120 120)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 120, 120 ] ] } }, "b": { "wkt": "LINESTRING (40 120, 120 40)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 120 ], [ 120, 40 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-1-1: equal pointwise [dim(1){A.L.Int.SP-EP = B.L.Int.SP-EP}]", "id": "04-007", "a": { "wkt": "LINESTRING (40 40, 100 100)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ] ] } }, "b": { "wkt": "LINESTRING (40 40, 100 100)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ] ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "1FFF0FFF2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-1-2: equal lines but points in reverse sequence [dim(1){A.L.Int.SP-EP = B.L.Int.EP-SP}]", "id": "04-008", "a": { "wkt": "LINESTRING (40 40, 100 100)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ] ] } }, "b": { "wkt": "LINESTRING (100 100, 40 40)", "geometry": { "type": "LineString", "coordinates": [ [ 100, 100 ], [ 40, 40 ] ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "1FFF0FFF2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-2-1: dim(1){A.L.Int.SP-EP = B.L.Ext}", "id": "04-009", "a": { "wkt": "LINESTRING (40 40, 120 120)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 120, 120 ] ] } }, "b": { "wkt": "LINESTRING (40 120, 120 160)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 120 ], [ 120, 160 ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-5-1: line A containing line B [dim(1){A.L.Int.SP-EP = B.L.Int.SP-EP}]", "id": "04-010", "a": { "wkt": "LINESTRING (20 20, 180 180)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 20 ], [ 180, 180 ] ] } }, "b": { "wkt": "LINESTRING (20 20, 180 180)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 20 ], [ 180, 180 ] ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "1FFF0FFF2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-5-2: line B is part of line A [dim(1){A.L.Int.SP-NV) = B.L.Int.SP-EP}]", "id": "04-011", "a": { "wkt": "LINESTRING (20 20, 180 180)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 20 ], [ 180, 180 ] ] } }, "b": { "wkt": "LINESTRING (20 20, 110 110)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 20 ], [ 110, 110 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": true, "overlaps": false, "de9im": "101F00FF2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-5-3: Line B is part of line A (in the middle portion) [dim(1){A.L.Int.NV-NV = B.L.Int.SP-EP}]", "id": "04-012", "a": { "wkt": "LINESTRING (20 20, 180 180)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 20 ], [ 180, 180 ] ] } }, "b": { "wkt": "LINESTRING (50 50, 140 140)", "geometry": { "type": "LineString", "coordinates": [ [ 50, 50 ], [ 140, 140 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": true, "overlaps": false, "de9im": "101FF0FF2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-6-1: start portions of two lines overlapping [dim(1){A.L.Int.SP-NV = B.L.Int.SP-NV]", "id": "04-013", "a": { "wkt": "LINESTRING (180 180, 40 40)", "geometry": { "type": "LineString", "coordinates": [ [ 180, 180 ], [ 40, 40 ] ] } }, "b": { "wkt": "LINESTRING (120 120, 260 260)", "geometry": { "type": "LineString", "coordinates": [ [ 120, 120 ], [ 260, 260 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": true, "de9im": "1010F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-6-2: end portions of two lines overlapping [dim(1){A.L.Int.NV-EP = B.L.Int.NV-EP]", "id": "04-014", "a": { "wkt": "LINESTRING (40 40, 180 180)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 180, 180 ] ] } }, "b": { "wkt": "LINESTRING (260 260, 120 120)", "geometry": { "type": "LineString", "coordinates": [ [ 260, 260 ], [ 120, 120 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": true, "de9im": "1010F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.1-6-3: end portion of line A overlapping the start portion of line B [dim(1){A.L.Int.NV-EP = B.L.Int.SP-NV]", "id": "04-015", "a": { "wkt": "LINESTRING (40 40, 180 180)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 180, 180 ] ] } }, "b": { "wkt": "LINESTRING (120 120, 260 260)", "geometry": { "type": "LineString", "coordinates": [ [ 120, 120 ], [ 260, 260 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": true, "de9im": "1010F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-1: two LineStrings touching at start points [dim(0){A.L.Bdy.SP = B.L.Bdy.SP}]", "id": "04-016", "a": { "wkt": "LINESTRING (40 40, 100 100, 200 120, 80 240)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ], [ 200, 120 ], [ 80, 240 ] ] } }, "b": { "wkt": "LINESTRING (40 40, 20 100, 40 160, 20 200)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 20, 100 ], [ 40, 160 ], [ 20, 200 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-2: start point of LineStrings A touching the end point of LineString B [dim(0){A.L.Bdy.SP = B.L.Bdy.EP}]", "id": "04-017", "a": { "wkt": "LINESTRING (40 40, 100 100, 200 120, 80 240)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ], [ 200, 120 ], [ 80, 240 ] ] } }, "b": { "wkt": "LINESTRING (20 200, 40 160, 20 100, 40 40)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 200 ], [ 40, 160 ], [ 20, 100 ], [ 40, 40 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-3: two LineStrings touching at end points [dim(0){A.L.Bdy.EP = B.L.Bdy.EP}]", "id": "04-018", "a": { "wkt": "LINESTRING (80 240, 200 120, 100 100, 40 40)", "geometry": { "type": "LineString", "coordinates": [ [ 80, 240 ], [ 200, 120 ], [ 100, 100 ], [ 40, 40 ] ] } }, "b": { "wkt": "LINESTRING (20 200, 40 160, 20 100, 40 40)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 200 ], [ 40, 160 ], [ 20, 100 ], [ 40, 40 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-4: both the start and end points of LineString A touching the interior of LineString B at two vertices [dim(0){A.L.Bdy.SP = B.L.Int.V}, dim(0){A.L.Bdy.EP = B.L.Int.V}]", "id": "04-019", "a": { "wkt": "LINESTRING (60 60, 60 230, 140 230, 250 160)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 60 ], [ 60, 230 ], [ 140, 230 ], [ 250, 160 ] ] } }, "b": { "wkt": "LINESTRING (20 20, 60 60, 250 160, 310 230)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 20 ], [ 60, 60 ], [ 250, 160 ], [ 310, 230 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF10FF102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-5: both the start and end points of LineString A touching the interior of LineString B at two non-vertices [dim(0){A.L.Bdy.SP = B.L.Int.NV}, dim(0){A.L.Bdy.EP = B.L.Int.NV}]", "id": "04-020", "a": { "wkt": "LINESTRING (60 60, 60 230, 140 230, 250 160)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 60 ], [ 60, 230 ], [ 140, 230 ], [ 250, 160 ] ] } }, "b": { "wkt": "LINESTRING (20 20, 110 110, 200 110, 320 230)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 20 ], [ 110, 110 ], [ 200, 110 ], [ 320, 230 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF10FF102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-6: the start and end points of two LineStrings touching each other [dim(0){A.L.Bdy.SP = B.L.Bdy.SP}, dim(0){A.L.Bdy.EP = B.L.Bdy.EP}]", "id": "04-021", "a": { "wkt": "LINESTRING (60 110, 60 250, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 60, 250 ], [ 360, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F0F1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-7: the start and end points of two LineStrings touching each other [dim(0){A.L.Bdy.SP = B.L.Bdy.EP}, dim(0){A.L.Bdy.EP = B.L.Bdy.SP}]", "id": "04-022", "a": { "wkt": "LINESTRING (60 110, 60 250, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 60, 250 ], [ 360, 210 ] ] } }, "b": { "wkt": "LINESTRING (360 210, 310 160, 110 160, 60 110)", "geometry": { "type": "LineString", "coordinates": [ [ 360, 210 ], [ 310, 160 ], [ 110, 160 ], [ 60, 110 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F0F1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-8: start point of LineString B touching LineString A at a non-vertex [dim(0){A.L.Int.NV = B.L.Bdy.SP}]", "id": "04-023", "a": { "wkt": "LINESTRING (40 40, 100 100, 200 120, 80 240)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ], [ 200, 120 ], [ 80, 240 ] ] } }, "b": { "wkt": "LINESTRING (160 160, 240 240)", "geometry": { "type": "LineString", "coordinates": [ [ 160, 160 ], [ 240, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-9: end point of LineString B touching LineString A at a non-vertex [dim(0){A.L.Int.NV = B.L.Bdy.EP}]", "id": "04-024", "a": { "wkt": "LINESTRING (40 40, 100 100, 200 120, 80 240)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ], [ 200, 120 ], [ 80, 240 ] ] } }, "b": { "wkt": "LINESTRING (240 240, 160 160)", "geometry": { "type": "LineString", "coordinates": [ [ 240, 240 ], [ 160, 160 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-10: both the start and end points of LineString B touching the interior of LineString A at two non-vertices [dim(0){A.L.Int.NV = B.L.Bdy.SP}, dim(0){A.L.Int.NV = B.L.Bdy.EP}]", "id": "04-025", "a": { "wkt": "LINESTRING (60 60, 60 230, 140 230, 250 160)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 60 ], [ 60, 230 ], [ 140, 230 ], [ 250, 160 ] ] } }, "b": { "wkt": "LINESTRING (60 150, 110 100, 170 100, 110 230)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 150 ], [ 110, 100 ], [ 170, 100 ], [ 110, 230 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF01F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-11: the start point of LineString B touching the interior of LineString A at a non-vertex and the end point of LineString A touching the interior of LineString B at a vertex [dim(0){A.L.Int.NV = B.L.Bdy.SP}, dim(0){A.L.Bdy.EP = B.L.Int.V}]", "id": "04-026", "a": { "wkt": "LINESTRING (60 60, 60 230, 140 230, 250 160)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 60 ], [ 60, 230 ], [ 140, 230 ], [ 250, 160 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F010F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-12: start point of LineString B touching LineString A at a vertex [dim(0){A.L.Int.V = B.L.Bdy.SP}]", "id": "04-027", "a": { "wkt": "LINESTRING (40 40, 100 100, 200 120, 80 240)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ], [ 200, 120 ], [ 80, 240 ] ] } }, "b": { "wkt": "LINESTRING (200 120, 200 190, 150 240, 200 240)", "geometry": { "type": "LineString", "coordinates": [ [ 200, 120 ], [ 200, 190 ], [ 150, 240 ], [ 200, 240 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-13: end point of LineString B touching LineString A at a vertex [dim(0){A.L.Int.V = B.L.Bdy.EP}]", "id": "04-028", "a": { "wkt": "LINESTRING (40 40, 100 100, 200 120, 80 240)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ], [ 200, 120 ], [ 80, 240 ] ] } }, "b": { "wkt": "LINESTRING (200 240, 150 240, 200 200, 200 120)", "geometry": { "type": "LineString", "coordinates": [ [ 200, 240 ], [ 150, 240 ], [ 200, 200 ], [ 200, 120 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-3-14: both the start and end points of LineString B touching the interior of LineString A at two vertices [dim(0){A.L.Int.V = B.L.Bdy.SP}, dim(0){A.L.Int.V = B.L.Bdy.EP}]", "id": "04-029", "a": { "wkt": "LINESTRING (60 60, 60 230, 140 230, 250 160)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 60 ], [ 60, 230 ], [ 140, 230 ], [ 250, 160 ] ] } }, "b": { "wkt": "LINESTRING (60 230, 80 140, 120 140, 140 230)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 230 ], [ 80, 140 ], [ 120, 140 ], [ 140, 230 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF01F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-1: two LineStrings crossing at two points [dim(0){A.L.Bdy.SP = B.L.Bdy.SP}, dim(0){A.L.Int.V = B.L.Int.V}]", "id": "04-030", "a": { "wkt": "LINESTRING (60 110, 200 110, 250 160, 300 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 200, 110 ], [ 250, 160 ], [ 300, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1F00102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-2: two LineStrings crossing at two points [dim(0){A.L.Bdy.SP = B.L.Int.SP}, dim(0){A.L.Int.V = B.L.Int.V}, dim(0){A.L.Bdy.EP = B.L.Int.EP}]", "id": "04-031", "a": { "wkt": "LINESTRING (60 110, 200 110, 250 160, 300 210, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 200, 110 ], [ 250, 160 ], [ 300, 210 ], [ 360, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1F0F1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-3: two LineStrings crossing on one side [dim(0){A.L.Bdy.SP = B.L.Bdy.SP}, dim(0){A.L.Int.V = B.L.Int.V}]", "id": "04-032", "a": { "wkt": "LINESTRING (60 110, 220 110, 250 160, 280 110)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 220, 110 ], [ 250, 160 ], [ 280, 110 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1F00102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-4: two LineStrings crossing on one side [dim(0){A.L.Bdy.SP = B.L.Int.SP}, dim(0){A.L.Int.V = B.L.Int.NV}, dim(0){A.L.Bdy.EP = B.L.Int.EP}]", "id": "04-033", "a": { "wkt": "LINESTRING (60 110, 150 110, 200 160, 250 110, 360 110, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 150, 110 ], [ 200, 160 ], [ 250, 110 ], [ 360, 110 ], [ 360, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1F0F1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-5: two LineStrings crossing at two points [dim(0){A.L.Bdy.SP = B.L.Int.NV}, dim(0){A.L.Int.V = B.L.Int.V}]", "id": "04-034", "a": { "wkt": "LINESTRING (130 160, 160 110, 220 110, 250 160, 250 210)", "geometry": { "type": "LineString", "coordinates": [ [ 130, 160 ], [ 160, 110 ], [ 220, 110 ], [ 250, 160 ], [ 250, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F10F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-6: two LineStrings crossing at two points [dim(0){A.L.Bdy.SP = B.L.Int.NV}, dim(0){A.L.Int.NV = B.L.Int.NV}]", "id": "04-035", "a": { "wkt": "LINESTRING (130 160, 160 110, 190 110, 230 210)", "geometry": { "type": "LineString", "coordinates": [ [ 130, 160 ], [ 160, 110 ], [ 190, 110 ], [ 230, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F10F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-7: two LineStrings crossing at two points [dim(0){A.L.Bdy.SP = B.L.Int.NV}, dim(0){A.L.Int.V = B.L.Int.NV}, dim(0){A.L.Bdy.SP = B.L.Bdy.EP}]", "id": "04-036", "a": { "wkt": "LINESTRING (130 160, 160 110, 200 110, 230 160, 260 210, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 130, 160 ], [ 160, 110 ], [ 200, 110 ], [ 230, 160 ], [ 260, 210 ], [ 360, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F100F102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-8: two LineStrings crossing at two points [dim(0){A.L.Bdy.SP = B.L.Int.NV}, dim(0){A.L.Int.V = B.L.Int.NV}, dim(0){A.L.Int.V = B.L.Bdy.EP}]", "id": "04-037", "a": { "wkt": "LINESTRING (130 160, 160 110, 200 110, 230 160, 260 210, 360 210, 380 210)", "geometry": { "type": "LineString", "coordinates": [ [ 130, 160 ], [ 160, 110 ], [ 200, 110 ], [ 230, 160 ], [ 260, 210 ], [ 360, 210 ], [ 380, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0010F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-9: two LineStrings crossing at three points [dim(0){A.L.Bdy.SP = B.L.Int.NV}, dim(0){A.L.Int.V = B.L.Int.NV}, dim(0){A.L.Int.NV = B.L.Bdy.EP}]", "id": "04-038", "a": { "wkt": "LINESTRING (130 160, 160 110, 200 110, 230 160, 260 210, 380 210)", "geometry": { "type": "LineString", "coordinates": [ [ 130, 160 ], [ 160, 110 ], [ 200, 110 ], [ 230, 160 ], [ 260, 210 ], [ 380, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0010F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-10: two LineStrings crossing at two points [dim(0){A.L.Bdy.SP = B.L.Int.V}, dim(0){A.L.Int.V = B.L.Int.V}]", "id": "04-039", "a": { "wkt": "LINESTRING (110 160, 160 110, 200 110, 250 160, 250 210)", "geometry": { "type": "LineString", "coordinates": [ [ 110, 160 ], [ 160, 110 ], [ 200, 110 ], [ 250, 160 ], [ 250, 210 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F10F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-11: two LineStrings crossing on one side [dim(0){A.L.Bdy.SP = B.L.Int.V}, dim(0){A.L.Int.V = B.L.Int.V}]", "id": "04-040", "a": { "wkt": "LINESTRING (110 160, 180 110, 250 160, 320 110)", "geometry": { "type": "LineString", "coordinates": [ [ 110, 160 ], [ 180, 110 ], [ 250, 160 ], [ 320, 110 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F10F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-12: two LineStrings crossing on one side [dim(0){A.L.Bdy.SP = B.L.Int.NV}, dim(0){A.L.Int.V = B.L.Int.NV}]", "id": "04-041", "a": { "wkt": "LINESTRING (140 160, 180 80, 220 160, 250 80)", "geometry": { "type": "LineString", "coordinates": [ [ 140, 160 ], [ 180, 80 ], [ 220, 160 ], [ 250, 80 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F10F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-13: two LineStrings crossing at a vertex for one of the LineStrings [dim(0){A.L.Int.V = B.L.Int.NV}]", "id": "04-042", "a": { "wkt": "LINESTRING (40 40, 100 100, 200 120, 130 190)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ], [ 200, 120 ], [ 130, 190 ] ] } }, "b": { "wkt": "LINESTRING (20 130, 70 130, 160 40)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 130 ], [ 70, 130 ], [ 160, 40 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-14: two LineStrings crossing at non-vertices for both of the LineStrings [dim(0){A.L.Int.NV = B.L.Int.NV}]", "id": "04-043", "a": { "wkt": "LINESTRING (40 40, 100 100, 200 120, 130 190)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ], [ 200, 120 ], [ 130, 190 ] ] } }, "b": { "wkt": "LINESTRING (40 160, 40 100, 110 40, 170 40)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 160 ], [ 40, 100 ], [ 110, 40 ], [ 170, 40 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-15: two LineStrings crossing on one side [dim(0){A.L.Int.V = B.L.Int.NV}, dim(0){A.L.Int.V = B.L.Int.NV}]", "id": "04-044", "a": { "wkt": "LINESTRING (130 110, 180 160, 230 110, 280 160, 330 110)", "geometry": { "type": "LineString", "coordinates": [ [ 130, 110 ], [ 180, 160 ], [ 230, 110 ], [ 280, 160 ], [ 330, 110 ] ] } }, "b": { "wkt": "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 110 ], [ 110, 160 ], [ 250, 160 ], [ 310, 160 ], [ 360, 210 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/L.2-4-16: two LineStrings crossing at vertices for both LineString [dim(0){A.L.Int.V = B.L.Int.V}]", "id": "04-045", "a": { "wkt": "LINESTRING (40 40, 100 100, 200 120, 130 190)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 40 ], [ 100, 100 ], [ 200, 120 ], [ 130, 190 ] ] } }, "b": { "wkt": "LINESTRING (30 140, 80 140, 100 100, 200 30)", "geometry": { "type": "LineString", "coordinates": [ [ 30, 140 ], [ 80, 140 ], [ 100, 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{ "wkt": "LINESTRING (200 200, 20 20, 200 20, 20 200, 20 130, 90 130)", "geometry": { "type": "LineString", "coordinates": [ [ 200, 200 ], [ 20, 20 ], [ 200, 20 ], [ 20, 200 ], [ 20, 130 ], [ 90, 130 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": true, "de9im": "101FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "L/mL-3-1: a line's end point touching a non-vertex with crossing line segments of a MultiLineString [dim(0){A.L.Bdy.SP = B.mL.Int.NVx]", "id": "04-106", "a": { "wkt": "LINESTRING (80 80, 150 80, 210 80)", "geometry": { "type": "LineString", "coordinates": [ [ 80, 80 ], [ 150, 80 ], [ 210, 80 ] ] } }, "b": { "wkt": "MULTILINESTRING ((20 20, 140 140),(20 140, 140 20))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 20, 20 ], [ 140, 140 ] ], [ [ 20, 140 ], [ 140, 20 ] ] ] } }, "relationship": { "equals": false, "disjoint": 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40, 80 ], [ 100, 140 ] ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "1FFFFFFF2" } }, { "group": "TestRelateLL", "category": "relate", "title": "LR/LR-4-1: two LinearRings crossing at closing points [dim(0){A.LR.Int.CP = B.LR.Int.CP}]", "id": "04-111", "a": { "wkt": "LINESTRING (100 100, 180 20, 20 20, 100 100)", "geometry": { "type": "LineString", "coordinates": [ [ 100, 100 ], [ 180, 20 ], [ 20, 20 ], [ 100, 100 ] ] } }, "b": { "wkt": "LINESTRING (100 100, 180 180, 20 180, 100 100)", "geometry": { "type": "LineString", "coordinates": [ [ 100, 100 ], [ 180, 180 ], [ 20, 180 ], [ 100, 100 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FFF1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "LR/LR-4-2: two 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100, 100 ], [ 180, 20 ], [ 20, 20 ], [ 100, 100 ] ] } }, "b": { "wkt": "LINESTRING (180 100, 20 100, 100 180, 180 100)", "geometry": { "type": "LineString", "coordinates": [ [ 180, 100 ], [ 20, 100 ], [ 100, 180 ], [ 180, 100 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FFF1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "LR/LR-4-4: two LinearRings crossing at the closing and a vertex [dim(0){A.LR.Int.CP = B.LR.Int.V}]", "id": "04-114", "a": { "wkt": "LINESTRING (100 100, 180 20, 20 20, 100 100)", "geometry": { "type": "LineString", "coordinates": [ [ 100, 100 ], [ 180, 20 ], [ 20, 20 ], [ 100, 100 ] ] } }, "b": { "wkt": "LINESTRING (180 180, 100 100, 20 180, 180 180)", "geometry": { "type": "LineString", "coordinates": [ [ 180, 180 ], [ 100, 100 ], [ 20, 180 ], [ 180, 180 ] ] } }, "relationship": { "equals": false, "disjoint": 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false, "overlaps": true, "de9im": "1F1FFF1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "LR/LR-6-3: two LinearRings overlapping [dim(1){A.LR.Int.(V-V-V-EP) = B.LR.Int.(NV-V-V-SP)}]", "id": "04-119", "a": { "wkt": "LINESTRING (40 150, 40 40, 150 40, 150 150, 40 150)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 150 ], [ 40, 40 ], [ 150, 40 ], [ 150, 150 ], [ 40, 150 ] ] } }, "b": { "wkt": "LINESTRING (40 150, 150 150, 150 40, 20 40, 20 150, 40 150)", "geometry": { "type": "LineString", "coordinates": [ [ 40, 150 ], [ 150, 150 ], [ 150, 40 ], [ 20, 40 ], [ 20, 150 ], [ 40, 150 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": true, "de9im": "1F1FFF1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "LR/nsL-3-1: a LinearRing touching a non-simple LineString [dim(0){A.nsL.Int.CP = B.nsL.Bdy.SPb}]", "id": "04-120", "a": { 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[dim(0){A.nsL.Int.NVx = B.nsL.Int.NVx}]", "id": "04-128", "a": { "wkt": "LINESTRING (20 200, 200 200, 20 20, 200 20, 20 200)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 200 ], [ 200, 200 ], [ 20, 20 ], [ 200, 20 ], [ 20, 200 ] ] } }, "b": { "wkt": "LINESTRING (20 110, 200 110, 200 160, 20 60, 20 110)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 110 ], [ 200, 110 ], [ 200, 160 ], [ 20, 60 ], [ 20, 110 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FFF1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "nsL/nsL-4-5: non-simple LineStrings crossing at vertices [dim(0){A.nsL.Int.V = B.nsL.Int.V}]", "id": "04-129", "a": { "wkt": "LINESTRING (20 110, 110 110, 20 20, 110 20, 20 110)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 110 ], [ 110, 110 ], [ 20, 20 ], [ 110, 20 ], [ 20, 110 ] ] } }, "b": { "wkt": "LINESTRING (200 200, 110 110, 200 110, 110 200, 200 200)", "geometry": { "type": "LineString", "coordinates": [ [ 200, 200 ], [ 110, 110 ], [ 200, 110 ], [ 110, 200 ], [ 200, 200 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FFF1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "nsL/nsL-4-6: non-simple LineStrings crossing at two points with vertices [dim(0){A.nsL.Int.V = B.nsL.Int.V}]", "id": "04-130", "a": { "wkt": "LINESTRING (20 120, 120 120, 20 20, 120 20, 20 120)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 120 ], [ 120, 120 ], [ 20, 20 ], [ 120, 20 ], [ 20, 120 ] ] } }, "b": { "wkt": "LINESTRING (220 120, 120 20, 220 20, 120 120, 220 120)", "geometry": { "type": "LineString", "coordinates": [ [ 220, 120 ], [ 120, 20 ], [ 220, 20 ], [ 120, 120 ], [ 220, 120 ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FFF1F2" } }, { "group": "TestRelateLL", "category": "relate", "title": "mL/mL-1: MultiLineString [dim(1){A.mL.Int.SP-EP = B.mL.Int.SP-EP}]", "id": "04-131", "a": { "wkt": "MULTILINESTRING ((70 20, 20 90, 70 170),(70 170, 120 90, 70 20))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 70, 20 ], [ 20, 90 ], [ 70, 170 ] ], [ [ 70, 170 ], [ 120, 90 ], [ 70, 20 ] ] ] } }, "b": { "wkt": "MULTILINESTRING ((70 20, 20 90, 70 170),(70 170, 120 90, 70 20))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 70, 20 ], [ 20, 90 ], [ 70, 170 ] ], [ [ 70, 170 ], [ 120, 90 ], [ 70, 20 ] ] ] } }, "relationship": { "equals": true, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": true, "overlaps": false, "de9im": "1FFFFFFF2" } }, { "group": "TestRelateLL", "category": "relate", 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} }, "b": { "wkt": "MULTILINESTRING ((90 20, 170 100, 170 140),(170 60, 90 20, 20 60),(130 100, 130 60, 90 20, 50 90))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 90, 20 ], [ 170, 100 ], [ 170, 140 ] ], [ [ 170, 60 ], [ 90, 20 ], [ 20, 60 ] ], [ [ 130, 100 ], [ 130, 60 ], [ 90, 20 ], [ 50, 90 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00102" } }, { "group": "TestRelateLL", "category": "relate", "title": "mL/mL-3-2: non-simple MultiLineStrings touching at boundaries [dim(0){A.mL.Bdy.SPx = B.mL.Bdy.SPo}]", "id": "04-135", "a": { "wkt": "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 20, 20 ], [ 90, 20 ], [ 170, 20 ] ], [ [ 90, 20 ], [ 90, 80 ], [ 90, 140 ] ] ] } }, "b": { "wkt": "MULTILINESTRING ((90 20, 170 100, 170 140),(130 140, 130 60, 90 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false, "de9im": "FF10F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "mL/mL-3-6: non-simple MultiLineStrings touching at boundaries [dim(0){A.mL.Bdy.SPx = B.mL.Int.SPb}]", "id": "04-139", "a": { "wkt": "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 20, 20 ], [ 90, 20 ], [ 170, 20 ] ], [ [ 90, 20 ], [ 90, 80 ], [ 90, 140 ] ] ] } }, "b": { "wkt": "MULTILINESTRING ((90 20, 170 100, 170 140),(170 60, 90 20, 20 60),(120 100, 170 100, 90 20))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 90, 20 ], [ 170, 100 ], [ 170, 140 ] ], [ [ 170, 60 ], [ 90, 20 ], [ 20, 60 ] ], [ [ 120, 100 ], [ 170, 100 ], [ 90, 20 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF10F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "mL/mL-3-7: 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"MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 20, 20 ], [ 90, 20 ], [ 170, 20 ] ], [ [ 90, 20 ], [ 90, 80 ], [ 90, 140 ] ] ] } }, "b": { "wkt": "MULTILINESTRING ((90 20, 170 100, 170 140),(170 60, 90 20, 20 60, 20 140, 90 20))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 90, 20 ], [ 170, 100 ], [ 170, 140 ] ], [ [ 170, 60 ], [ 90, 20 ], [ 20, 60 ], [ 20, 140 ], [ 90, 20 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF10F0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "mL/mL-4-1: non-simple MultiLineStrings crossing [dim(0){A.mL.Int.Vx = B.mL.Int.Vb}]", "id": "04-142", "a": { "wkt": "MULTILINESTRING ((20 20, 90 90, 20 160),(90 160, 90 20))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 20, 20 ], [ 90, 90 ], [ 20, 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"MultiLineString", "coordinates": [ [ [ 160, 160 ], [ 90, 90 ], [ 160, 20 ] ], [ [ 160, 120 ], [ 120, 120 ], [ 90, 90 ], [ 120, 60 ], [ 160, 60 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FF0102" } }, { "group": "TestRelateLL", "category": "relate", "title": "mL/mL-4-3: non-simple MultiLineStrings crossing [dim(0){A.mL.Int.Vx = B.mL.Int.Vx}]", "id": "04-144", "a": { "wkt": "MULTILINESTRING ((20 20, 90 90, 20 160),(90 160, 90 20))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 20, 20 ], [ 90, 90 ], [ 20, 160 ] ], [ [ 90, 160 ], [ 90, 20 ] ] ] } }, "b": { "wkt": "MULTILINESTRING ((160 160, 90 90, 160 20),(160 120, 90 90, 160 60))", "geometry": { "type": "MultiLineString", "coordinates": [ [ [ 160, 160 ], [ 90, 90 ], [ 160, 20 ] ], [ [ 160, 120 ], [ 90, 90 ], [ 160, 60 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "0F1FF0102" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-3-1: a line touching the closing point of a polygon [dim(0){A.L.Bdy.SP = B.oBdy.CP}]", "id": "05-001", "a": { "wkt": "LINESTRING (150 150, 40 230)", "geometry": { "type": "LineString", "coordinates": [ [ 150, 150 ], [ 40, 230 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-3-2: the start and end points of a LineString touching the boundary (at non-vertices) of a polygon 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150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-3-4: an entire LineString touching the boundary (at non-vertices) of a polygon [dim(1){A.L.Int.SP-EP = B.oBdy.NV-NV}]", "id": "05-004", "a": { "wkt": "LINESTRING (210 150, 330 150)", "geometry": { "type": "LineString", "coordinates": [ [ 210, 150 ], [ 330, 150 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F1FF0F212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-3-5: the start portion of a LineString touching the boundary (at non-vertices) of a polygon [dim(1){A.L.Int.SP-V = B.oBdy.NV-NV}]", "id": "05-005", "a": { "wkt": "LINESTRING (200 150, 310 150, 360 220)", "geometry": { "type": "LineString", "coordinates": [ [ 200, 150 ], [ 310, 150 ], [ 360, 220 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F11F00212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-3-6: the start portion and the end point of a LineString touching the boundary of a polygon [dim(1){A.L.Int.SP-V = B.oBdy.NV-NV}, dim(0){A.L.Bdy.EP = B.A.oBdy.V}]", "id": "05-006", "a": { "wkt": "LINESTRING (180 150, 250 150, 230 250, 370 250, 410 150)", "geometry": { "type": "LineString", "coordinates": [ [ 180, 150 ], [ 250, 150 ], [ 230, 250 ], [ 370, 250 ], [ 410, 150 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F11F0F212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-3-7: the middle portion of a LineString touching the boundary (at non-vertices) of a polygon [dim(1){A.L.Int.V-V = B.oBdy.NV-NV}]", "id": "05-007", "a": { "wkt": "LINESTRING (210 210, 220 150, 320 150, 370 210)", "geometry": { "type": "LineString", "coordinates": [ [ 210, 210 ], [ 220, 150 ], [ 320, 150 ], [ 370, 210 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F11FF0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-4-1: a line at non-vertex crossing non-vertex boundary of polygon [dim(0){A.L.Int.NV = B.A.oBdy.NV}, dim(1){A.L.Int.NV-EP = B.A.Int}]", "id": "05-008", "a": { "wkt": "LINESTRING (20 60, 150 60)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 60 ], [ 150, 60 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "1010F0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-4-2: a line at non-vertex crossing non-vertex boundaries of polygon twice [dim(0){A.L.Int.NV = B.A.oBdy.NV}, dim(1){A.L.Int.NV-NV = B.A.Int}]", "id": "05-009", "a": { "wkt": "LINESTRING (60 90, 310 180)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 90 ], [ 310, 180 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "101FF0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-4-3: a line at non-vertex crossing vertex boundary of polygon [dim(0){A.L.Int.NV = B.A.oBdy.V}, dim(1){A.L.Int.NV-EP = B.A.Int}]", "id": "05-010", "a": { "wkt": "LINESTRING (90 210, 210 90)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 210 ], [ 210, 90 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "1010F0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-4-4: a line at non-vertex crossing vertex boundaries of polygon twice [dim(0){A.L.Int.NV = B.A.oBdy.V}, dim(1){A.L.Int.NV-NV = B.A.Int}, dim(0){A.L.Int.NV = B.A.oBdy.CP}]", "id": "05-011", "a": { "wkt": "LINESTRING (290 10, 130 170)", "geometry": { "type": "LineString", "coordinates": [ [ 290, 10 ], [ 130, 170 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "101FF0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-4-5: a line at vertex crossing non-vertex boundary of polygon [dim(0){A.L.Int.V = B.A.oBdy.NV}, dim(1){A.L.Int.V-EP = B.A.Int}]", "id": "05-012", "a": { "wkt": "LINESTRING (30 100, 100 100, 180 100)", "geometry": { "type": "LineString", "coordinates": [ [ 30, 100 ], [ 100, 100 ], [ 180, 100 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "1010F0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-4-6: a line at vertex crossing non-vertex boundaries of polygon twice [dim(0){A.L.Int.V = B.A.oBdy.NV}, dim(1){A.L.Int.V-V = B.A.Int}]", "id": "05-013", "a": { "wkt": "LINESTRING (20 100, 100 100, 360 100, 410 100)", "geometry": { "type": "LineString", "coordinates": [ [ 20, 100 ], [ 100, 100 ], [ 360, 100 ], [ 410, 100 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "101FF0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-4-7: a line at vertex crossing vertex boundary of polygon [dim(0){A.L.Int.V = B.A.oBdy.V}, dim(1){A.L.Int.V-EP = B.A.Int}]", "id": "05-014", "a": { "wkt": "LINESTRING (90 210, 150 150, 210 90)", "geometry": { "type": "LineString", "coordinates": [ [ 90, 210 ], [ 150, 150 ], [ 210, 90 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": true, "within": false, "contains": false, "overlaps": false, "de9im": "1010F0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-5-1: an entire line within a polygon [dim(1){A.L.Int.SP-EP = B.A.Int}]", "id": "05-015", "a": { "wkt": "LINESTRING (180 90, 280 120)", "geometry": { "type": "LineString", "coordinates": [ [ 180, 90 ], [ 280, 120 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "1FF0FF212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-5-2: a line within a polygon but the line's both ends touching the boundary of the polygon [dim(1){A.L.Int.SP-EP = B.A.Int}, dim(0){A.L.Bdy.SP = B.oBdy.NV}, dim(0){A.L.Bdy.EP = B.oBdy.NV}]", "id": "05-016", "a": { "wkt": "LINESTRING (70 70, 80 20)", "geometry": { "type": "LineString", "coordinates": [ [ 70, 70 ], [ 80, 20 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "1FFF0F212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-5-3: a line within a polygon but the line's start point touching the boundary of the polygon [dim(1){A.L.Int.SP-EP = B.A.Int}, dim(0){A.L.Bdy.SP = B.oBdy.NV}]", "id": "05-017", "a": { "wkt": "LINESTRING (130 20, 150 60)", "geometry": { "type": "LineString", "coordinates": [ [ 130, 20 ], [ 150, 60 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "1FF00F212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-5-4: a line within a polygon but the line's start point and middle portion touching the boundary of the polygon [dim(1){A.L.Int.SP-V = B.A.Int}, dim(1){A.L.Int.V-V = B.oBdy.NV-NV}, dim(1){A.L.Int.V-EP = B.A.Int}, dim(0){A.L.Bdy.SP = B.A.oBdy.NV}]", "id": "05-018", "a": { "wkt": "LINESTRING (70 70, 80 20, 140 20, 150 60)", "geometry": { "type": "LineString", "coordinates": [ [ 70, 70 ], [ 80, 20 ], [ 140, 20 ], [ 150, 60 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "11F00F212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/A-5-5: a line within a polygon but the line's middle portion touching the boundary of the polygon [dim(1){A.L.Int.SP-V = B.A.Int}, dim(1){A.L.Int.V-V = B.A.oBdy.NV-NV}, dim(1){A.L.Int.V-EP = B.A.Int}]", "id": "05-019", "a": { "wkt": "LINESTRING (170 50, 170 20, 240 20, 260 60)", "geometry": { "type": "LineString", "coordinates": [ [ 170, 50 ], [ 170, 20 ], [ 240, 20 ], [ 260, 60 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "11F0FF212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/Ah-2-1: a line outside a polygon [dim(1){A.L.Int.SP-EP = B.A.Ext}]", "id": "05-020", "a": { "wkt": "LINESTRING (50 100, 140 190, 280 190)", "geometry": { "type": "LineString", "coordinates": [ [ 50, 100 ], [ 140, 190 ], [ 280, 190 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1FF0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/Ah-2-2: a line inside a polygon's hole [dim(1){A.L.Int.SP-EP = B.A.Ext.h}]", "id": "05-021", "a": { "wkt": "LINESTRING (140 60, 180 100, 290 100)", "geometry": { "type": "LineString", "coordinates": [ [ 140, 60 ], [ 180, 100 ], [ 290, 100 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": true, "intersects": false, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1FF0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/Ah-3-1: the start point of a line touching the inner boundary of a polygon [dim(0){A.L.Bdy.SP = B.A.iBdy.CP}, dim(1){A.L.Int.SP-EP = B.A.Ext.h}]", "id": "05-022", "a": { "wkt": "LINESTRING (170 120, 210 80, 270 80)", "geometry": { "type": "LineString", "coordinates": [ [ 170, 120 ], [ 210, 80 ], [ 270, 80 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F00212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/Ah-3-2: both ends of a line touching the inner boundary of a polygon [dim(0){A.L.Bdy.SP = B.A.iBdy.CP}, dim(1){A.L.Int.SP-EP = B.A.Ext.h}, dim(0){A.L.Bdy.SP = B.A.iBdy.CP}]", "id": "05-023", "a": { "wkt": "LINESTRING (170 120, 260 50)", "geometry": { "type": "LineString", "coordinates": [ [ 170, 120 ], [ 260, 50 ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF1F0F212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/Ah-3-1: both ends of a line touching the inner boundary of a polygon [dim(0){A.L.Int.NV = B.A.Bdy.TP}]", "id": "05-024", "a": { "wkt": "LINESTRING (190 90, 190 270)", "geometry": { "type": "LineString", "coordinates": [ [ 190, 90 ], [ 190, 270 ] ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(190 190, 280 50, 100 50, 190 190))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 190, 190 ], [ 280, 50 ], [ 100, 50 ], [ 190, 190 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/Ah-3-2: a line at a non-vertex crossing the boundary of a polygon where the closing point of the hole touches the shell at a non-vertex [dim(0){A.L.Int.NV = B.A.Bdy.TP}]", "id": "05-025", "a": { "wkt": "LINESTRING (60 160, 150 70)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 160 ], [ 150, 70 ] ] } }, "b": { "wkt": "POLYGON ((190 190, 360 20, 20 20, 190 190),(110 110, 250 100, 140 30, 110 110))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 190 ], [ 360, 20 ], [ 20, 20 ], [ 190, 190 ] ], [ [ 110, 110 ], [ 250, 100 ], [ 140, 30 ], [ 110, 110 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "F01FF0212" } }, { "group": "TestRelateLA", "category": "relate", "title": "L/Ah-3-3: a line at a non-vertex crossing the boundary of a polygon where the hole at a vertex touches the shell at a non-vertex [dim(0){A.L.Int.NV = B.A.Bdy.TP}]", "id": "05-026", "a": { "wkt": "LINESTRING (60 160, 150 70)", "geometry": { "type": "LineString", "coordinates": [ [ 60, 160 ], [ 150, 70 ] ] } }, "b": { 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false, "within": false, "contains": false, "overlaps": true, "de9im": "212111212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/A-6-26: two polygons overlapping [dim(2){A.A.Int = B.A.Int}, dim(0){A.A.Bdy.NV = B.A.Bdy.NV}]", "id": "07-078", "a": { "wkt": "POLYGON ((16 319, 150 39, 25 302, 160 20, 265 20, 127 317, 16 319))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 16, 319 ], [ 150, 39 ], [ 25, 302 ], [ 160, 20 ], [ 265, 20 ], [ 127, 317 ], [ 16, 319 ] ] ] } }, "b": { "wkt": "POLYGON ((10 307, 22 307, 153 34, 22 34, 10 307))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 10, 307 ], [ 22, 307 ], [ 153, 34 ], [ 22, 34 ], [ 10, 307 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": false, "contains": false, "overlaps": true, "de9im": "212101212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-3-1: the closing point of a polygon touching the closing 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80, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 170, 120 ], [ 260, 100 ], [ 240, 60 ], [ 150, 80 ], [ 170, 120 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF2F01212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-3-5: the boundary of a polygon touching the inner boundary of another polygon at one spot [dim(2){A.A.Int = B.A.Ext.h}, dim(0){A.A.oBdy.SP = B.A.iBdy.NV}]", "id": "07-083", "a": { "wkt": "POLYGON ((220 120, 270 80, 200 60, 160 100, 220 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 220, 120 ], [ 270, 80 ], [ 200, 60 ], [ 160, 100 ], [ 220, 120 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF2F01212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-3-6: the boundary of a polygon touching the inner boundary of another polygon at one spot [dim(2){A.A.Int = B.A.Ext.h}, dim(0){A.A.oBdy.SP = B.A.iBdy.V}]", "id": "07-084", "a": { "wkt": "POLYGON ((260 50, 180 70, 180 110, 260 90, 260 50))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 260, 50 ], [ 180, 70 ], [ 180, 110 ], [ 260, 90 ], [ 260, 50 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF2F01212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-3-7: the boundary of a polygon touching the inner boundary of another polygon at two spots [dim(2){A.A.Int = B.A.Ext.h}, dim(0){A.A.oBdy.V = B.A.iBdy.NV}, dim(0){A.A.oBdy.V = B.A.iBdy.NV}]", "id": "07-085", "a": { "wkt": "POLYGON ((230 110, 290 80, 190 60, 140 90, 230 110))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 230, 110 ], [ 290, 80 ], [ 190, 60 ], [ 140, 90 ], [ 230, 110 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF2F01212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-3-8: the boundary of a polygon touching the inner boundary of another polygon [dim(2){A.A.Int = B.A.Ext.h}, dim(1){A.A.oBdy.SP-EP = B.A.iBdy.SP-EP}]", "id": "07-086", "a": { "wkt": "POLYGON ((170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF2F1F212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-3-9: part of the boundary of a polygon touching part of the inner boundary of another polygon [dim(2){A.A.Int = B.A.Ext.h}, dim(1){A.A.oBdy.SP-V = B.A.iBdy.SP-NV}, dim(1){A.A.oBdy.V-EP = B.A.iBdy.NV-EP}]", "id": "07-087", "a": { "wkt": "POLYGON ((170 120, 330 120, 280 70, 120 70, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 170, 120 ], [ 330, 120 ], [ 280, 70 ], [ 120, 70 ], [ 170, 120 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF2F11212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-3-10: part of the boundary of a polygon touching part of the inner boundary of another polygon [dim(2){A.A.Int = B.A.Ext.h}, dim(1){A.A.oBdy.SP-V = B.A.iBdy.SP-NV}, dim(1){A.A.oBdy.V-EP = B.A.iBdy.NV-EP}]", "id": "07-088", "a": { "wkt": "POLYGON ((170 120, 300 120, 250 70, 120 70, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 170, 120 ], [ 300, 120 ], [ 250, 70 ], [ 120, 70 ], [ 170, 120 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF2F11212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-3-11: part of the boundary of a polygon touching part of the inner boundary of another polygon [dim(2){A.A.Int = B.A.Ext.h}, dim(1){A.A.oBdy.V-V-V = B.A.iBdy.NV-V-NV}]", "id": "07-089", "a": { "wkt": "POLYGON ((190 100, 310 100, 260 50, 140 50, 190 100))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 190, 100 ], [ 310, 100 ], [ 260, 50 ], [ 140, 50 ], [ 190, 100 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 330, 120 ], [ 260, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": true, "crosses": false, "within": false, "contains": false, "overlaps": false, "de9im": "FF2F11212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-5-1: an entire polygon within another polygon which has a hole [dim(2){A.A.Ext = B.A.Int}, dim(2){A.A.Int = B.A.Int}]", "id": "07-090", "a": { "wkt": "POLYGON ((280 130, 360 130, 270 40, 190 40, 280 130))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 280, 130 ], [ 360, 130 ], [ 270, 40 ], [ 190, 40 ], [ 280, 130 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 250, 120 ], [ 180, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "2FF1FF212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-5-2: an entire polygon within another polygon which has a hole [dim(2){A.A.Int = B.A.Int}, dim(2){A.A.Ext = B.A.Int}]", "id": "07-091", "a": { "wkt": "POLYGON ((220 80, 180 40, 80 40, 170 130, 270 130, 230 90, 300 90, 250 30, 280 30, 390 140, 150 140, 40 30, 230 30, 280 80, 220 80))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 220, 80 ], [ 180, 40 ], [ 80, 40 ], [ 170, 130 ], [ 270, 130 ], [ 230, 90 ], [ 300, 90 ], [ 250, 30 ], [ 280, 30 ], [ 390, 140 ], [ 150, 140 ], [ 40, 30 ], [ 230, 30 ], [ 280, 80 ], [ 220, 80 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 250, 120 ], [ 180, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "2FF1FF212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-5-3: polygon A within polygon B, the boundary of A touching the inner boundary of B [dim(2){A.A.Int = B.A.Int}, dim(2){A.A.Ext = B.A.Int}, dim(1){A.A.Bdy.NV-NV = B.A.iBdy.V-V}]", "id": "07-092", "a": { "wkt": "POLYGON ((260 130, 360 130, 280 40, 170 40, 260 130))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 260, 130 ], [ 360, 130 ], [ 280, 40 ], [ 170, 40 ], [ 260, 130 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 150 ], [ 280, 20 ], [ 20, 20 ], [ 150, 150 ] ], [ [ 170, 120 ], [ 250, 120 ], [ 180, 50 ], [ 100, 50 ], [ 170, 120 ] ] ] } }, "relationship": { "equals": false, "disjoint": false, "intersects": true, "touches": false, "crosses": false, "within": true, "contains": false, "overlaps": false, "de9im": "2FF11F212" } }, { "group": "TestRelateAA", "category": "relate", "title": "A/Ah-5-4: polygon A within polygon B, the boundary of A touching the inner boundary of B [dim(2){A.A.Int = B.A.Int}, dim(2){A.A.Ext = B.A.Int}, dim(1){A.A.Bdy.V-V = B.A.iBdy.NV-NV}]", "id": "07-093", "a": { "wkt": "POLYGON ((240 110, 340 110, 290 60, 190 60, 240 110))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 240, 110 ], [ 340, 110 ], [ 290, 60 ], [ 190, 60 ], [ 240, 110 ] ] ] } }, "b": { "wkt": "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 150, 150 ], [ 410, 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340 130, 340 130), POLYGON ((210 340, 220 260, 150 270, 230 220, 230 140, 270 210, 360 240, 260 250, 260 280, 240 270, 210 340),(230 270, 230 250, 200 250, 240 220, 240 190, 260 220, 290 230, 250 230, 230 270)))", "geometry": { "type": "GeometryCollection", "geometries": [ { "type": "Point", "coordinates": [ 110, 300 ] }, { "type": "Point", "coordinates": [ 100, 110 ] }, { "type": "Point", "coordinates": [ 130, 210 ] }, { "type": "Point", "coordinates": [ 150, 210 ] }, { "type": "Point", "coordinates": [ 150, 180 ] }, { "type": "Point", "coordinates": [ 130, 170 ] }, { "type": "Point", "coordinates": [ 140, 190 ] }, { "type": "Point", "coordinates": [ 130, 200 ] }, { "type": "LineString", "coordinates": [ [ 240, 50 ], [ 210, 120 ], [ 270, 80 ], [ 250, 140 ], [ 330, 70 ], [ 300, 160 ], [ 340, 130 ], [ 340, 130 ] ] }, { "type": "Polygon", "coordinates": [ [ [ 210, 340 ], [ 220, 260 ], [ 150, 270 ], [ 230, 220 ], [ 230, 140 ], [ 270, 210 ], [ 360, 240 ], [ 260, 250 ], [ 260, 280 ], [ 240, 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], [ 110, 320 ], [ 80, 320 ] ] } }, "functions": { "convexHull": { "wkt": "POLYGON ((50 120, 50 320, 140 320, 210 180, 210 120, 50 120))", "geometry": { "type": "Polygon", "coordinates": [ [ [ 50, 120 ], [ 50, 320 ], [ 140, 320 ], [ 210, 180 ], [ 210, 120 ], [ 50, 120 ] ] ] } } } } ] } ================================================ FILE: lib/topo/cleaner.ex ================================================ defmodule Topo.Cleaner do @moduledoc false import Topo.Util @type geometry :: {number, number} | %{type: String.t(), coordinates: list} | %Geo.Point{} | %Geo.MultiPoint{} | %Geo.LineString{} | %Geo.MultiLineString{} | %Geo.Polygon{} | %Geo.MultiPolygon{} @spec clean(geometry) :: geometry def clean({x, y}), do: %Geo.Point{coordinates: {x, y}} def clean(%Geo.LineString{coordinates: a}) do %Geo.LineString{coordinates: do_clean_line(a)} end def clean(%Geo.Polygon{} = a) do %Geo.Polygon{coordinates: Enum.map(a.coordinates, &do_clean_ring/1)} end def clean(%Geo.MultiLineString{} = a) do %Geo.MultiLineString{coordinates: Enum.map(a.coordinates, &do_clean_line/1)} end def clean(%Geo.MultiPolygon{} = a) do %Geo.MultiPolygon{ coordinates: Enum.map(a.coordinates, fn poly -> Enum.map(poly, &do_clean_ring/1) end) } end def clean(%{type: "Point", coordinates: coords}), do: clean(%Geo.Point{coordinates: coords}) def clean(%{type: "MultiPoint", coordinates: coords}), do: clean(%Geo.MultiPoint{coordinates: coords}) def clean(%{type: "LineString", coordinates: coords}), do: clean(%Geo.LineString{coordinates: coords}) def clean(%{type: "MultiLineString", coordinates: coords}), do: clean(%Geo.MultiLineString{coordinates: coords}) def clean(%{type: "Polygon", coordinates: coords}), do: clean(%Geo.Polygon{coordinates: coords}) def clean(%{type: "MultiPolygon", coordinates: coords}), do: clean(%Geo.MultiPolygon{coordinates: coords}) def clean(a), do: a defp do_clean_line(line) do if List.first(line) == List.last(line) do do_clean_ring(line) else line |> Enum.dedup() |> assert_no_collinear end end defp do_clean_ring(ring) do ring |> Enum.dedup() |> assert_closed |> assert_direction |> assert_no_collinear |> assert_no_collinear_over_closure end defp area([a, b, c, d | rest]) do cross(a, b, c) + area([a, c, d | rest]) end defp area(_), do: 0 defp assert_closed([a | rest]) do case List.last(rest) do ^a -> [a | rest] _ -> [a | rest] ++ [a] end end defp assert_direction(ring) do ring |> area |> reverse_if_negative_area(ring) end defp reverse_if_negative_area(area, ring) when area >= 0, do: ring defp reverse_if_negative_area(_, ring), do: Enum.reverse(ring) defp assert_no_collinear_over_closure(ring) when length(ring) < 4, do: ring defp assert_no_collinear_over_closure([b, c | rest]) do a = Enum.at(rest, -2) if collinear?(a, c, b) && between?(a, c, b) do [c | Enum.drop(rest, -1)] ++ [c] else [b, c | rest] end end end ================================================ FILE: lib/topo/contains.ex ================================================ defmodule Topo.Contains do @moduledoc false import Topo.Intersects alias Topo.PointRing alias Topo.LineLine alias Topo.LineRing alias Topo.RingRing @type geo_struct :: %Geo.Point{} | %Geo.MultiPoint{} | %Geo.LineString{} | %Geo.MultiLineString{} | %Geo.Polygon{} | %Geo.MultiPolygon{} @spec contains?(geo_struct, geo_struct) :: boolean def contains?(%Geo.Point{} = a, %Geo.Point{} = b), do: a == b def contains?(%Geo.Point{} = a, %Geo.MultiPoint{} = b), do: contains_all?(a, b, Geo.Point) def contains?(%Geo.Point{}, _), do: false def contains?(%Geo.MultiPoint{} = a, %Geo.Point{} = b), do: any_contain?(a, b, Geo.Point) def contains?(%Geo.MultiPoint{} = a, %Geo.MultiPoint{} = b), do: contains_all?(a, b, Geo.Point) def contains?(%Geo.MultiPoint{}, _), do: false def contains?(%Geo.LineString{} = a, %Geo.Point{} = b) do cond do List.first(a.coordinates) == List.last(a.coordinates) -> intersects?(a, b) intersects?(a, b) -> b.coordinates != List.first(a.coordinates) && b.coordinates != List.last(a.coordinates) true -> false end end def contains?(%Geo.LineString{} = a, %Geo.MultiPoint{} = b), do: intersects_all?(a, b, Geo.Point) && contains_any?(a, b, Geo.Point) def contains?(%Geo.LineString{coordinates: a}, %Geo.LineString{coordinates: b}) do LineLine.contains?(a, b) end def contains?(%Geo.LineString{} = a, %Geo.MultiLineString{} = b), do: contains_all?(a, b, Geo.LineString) def contains?(%Geo.LineString{}, %Geo.Polygon{}), do: false def contains?(%Geo.LineString{}, %Geo.MultiPolygon{}), do: false def contains?(%Geo.MultiLineString{} = a, %Geo.Point{} = b), do: any_contain?(a, b, Geo.LineString) def contains?(%Geo.MultiLineString{} = a, %Geo.MultiPoint{} = b), do: intersects_all?(a, b, Geo.Point) && contains_any?(a, b, Geo.Point) def contains?(%Geo.MultiLineString{} = a, %Geo.LineString{} = b), do: any_contain?(a, b, Geo.LineString) def contains?(%Geo.MultiLineString{} = a, %Geo.MultiLineString{} = b), do: contains_all?(a, b, Geo.LineString) def contains?(%Geo.MultiLineString{}, %Geo.Polygon{}), do: false def contains?(%Geo.MultiLineString{}, %Geo.MultiPolygon{}), do: false def contains?(%Geo.Polygon{coordinates: [exterior | holes]}, %Geo.Point{coordinates: point}) do PointRing.relate(exterior, point) === :interior && PointRing.relate_multi(holes, point) === :disjoint end def contains?(%Geo.Polygon{} = a, %Geo.MultiPoint{} = b) do contains_any?(a, b, Geo.Point) && intersects_all?(a, b, Geo.Point) end def contains?(%Geo.Polygon{coordinates: [a_exterior | a_holes]}, %Geo.LineString{} = b) do LineRing.contains?(a_exterior, b.coordinates) && LineRing.line_exterior_to_all?(a_holes, b.coordinates) end def contains?(%Geo.Polygon{} = a, %Geo.MultiLineString{} = b), do: contains_all?(a, b, Geo.LineString) def contains?(%Geo.Polygon{coordinates: [a_exterior | a_holes]}, %Geo.Polygon{ coordinates: [b_exterior | b_holes] }) do RingRing.contains?(a_exterior, b_exterior) && holes_contained?(a_holes, b_exterior, b_holes) end def contains?(%Geo.Polygon{} = a, %Geo.MultiPolygon{} = b), do: contains_all?(a, b, Geo.Polygon) def contains?(%Geo.MultiPolygon{} = a, %Geo.Point{} = b), do: any_contain?(a, b, Geo.Polygon) def contains?(%Geo.MultiPolygon{} = a, %Geo.MultiPoint{} = b), do: intersects_all?(a, b, Geo.Point) && contains_any?(a, b, Geo.Point) def contains?(%Geo.MultiPolygon{} = a, %Geo.LineString{} = b), do: any_contain?(a, b, Geo.Polygon) def contains?(%Geo.MultiPolygon{} = a, %Geo.MultiLineString{} = b), do: contains_all?(a, b, Geo.LineString) def contains?(%Geo.MultiPolygon{} = a, %Geo.Polygon{} = b), do: any_contain?(a, b, Geo.Polygon) def contains?(%Geo.MultiPolygon{} = a, %Geo.MultiPolygon{} = b), do: contains_all?(a, b, Geo.Polygon) defp contains_all?(a, b, component_struct) do Enum.all?(b.coordinates, fn b_comp -> contains?(a, struct(component_struct, %{coordinates: b_comp})) end) end defp contains_any?(a, b, component_struct) do Enum.any?(b.coordinates, fn b_comp -> contains?(a, struct(component_struct, %{coordinates: b_comp})) end) end defp any_contain?(a, b, component_struct) do Enum.any?(a.coordinates, fn a_comp -> contains?(struct(component_struct, %{coordinates: a_comp}), b) end) end defp intersects_all?(a, b, component_struct) do Enum.all?(b.coordinates, fn b_comp -> intersects?(a, struct(component_struct, %{coordinates: b_comp})) end) end defp holes_contained?(a_holes, b_exterior, []) do !Enum.any?(a_holes, fn hole -> RingRing.overlaps?(hole, b_exterior) || RingRing.contains?(hole, b_exterior) end) end defp holes_contained?(a_holes, b_exterior, b_holes) do holes_intersecting_b = Enum.filter(a_holes, &RingRing.overlaps?(&1, b_exterior)) Enum.all?(holes_intersecting_b, fn a_hole -> RingRing.contains?(b_exterior, a_hole) && Enum.any?(b_holes, &RingRing.contains?(&1, a_hole)) end) end end ================================================ FILE: lib/topo/intersects.ex ================================================ defmodule Topo.Intersects do @moduledoc false alias Topo.PointLine alias Topo.PointRing alias Topo.LineLine alias Topo.LineRing alias Topo.RingRing @type geo_struct :: %Geo.Point{} | %Geo.MultiPoint{} | %Geo.LineString{} | %Geo.MultiLineString{} | %Geo.Polygon{} | %Geo.MultiPolygon{} @spec intersects?(geo_struct, geo_struct) :: boolean def intersects?(%Geo.Point{coordinates: c}, %Geo.Point{coordinates: c}), do: true def intersects?(%Geo.Point{}, %Geo.Point{}), do: false def intersects?(%Geo.Point{} = a, %Geo.MultiPoint{} = b), do: intersects_any?(a, b, Geo.Point) def intersects?(%Geo.Point{coordinates: a}, %Geo.LineString{coordinates: b}), do: PointLine.relate(b, a) != :disjoint def intersects?(%Geo.Point{} = a, %Geo.MultiLineString{} = b), do: intersects_any?(a, b, Geo.LineString) def intersects?(%Geo.Point{} = a, %Geo.Polygon{coordinates: [exterior | holes]}) do case PointRing.relate(exterior, a.coordinates) do :interior -> PointRing.relate_multi(holes, a.coordinates) !== :interior :disjoint -> false _ -> true end end def intersects?(%Geo.Point{} = a, %Geo.MultiPolygon{} = b), do: intersects_any?(a, b, Geo.Polygon) def intersects?(%Geo.MultiPoint{} = a, %Geo.Point{} = b), do: intersects?(b, a) def intersects?(%Geo.MultiPoint{} = a, %Geo.MultiPoint{} = b), do: intersects_any?(a, b, Geo.Point) def intersects?(%Geo.MultiPoint{} = a, %Geo.LineString{} = b), do: intersects_any?(b, a, Geo.Point) def intersects?(%Geo.MultiPoint{} = a, %Geo.MultiLineString{} = b), do: intersects_any?(a, b, Geo.LineString) def intersects?(%Geo.MultiPoint{} = a, %Geo.Polygon{} = b), do: intersects_any?(b, a, Geo.Point) def intersects?(%Geo.MultiPoint{} = a, %Geo.MultiPolygon{} = b), do: intersects_any?(a, b, Geo.Polygon) def intersects?(%Geo.LineString{} = a, %Geo.Point{} = b), do: intersects?(b, a) def intersects?(%Geo.LineString{} = a, %Geo.MultiPoint{} = b), do: intersects?(b, a) def intersects?(%Geo.LineString{coordinates: a}, %Geo.LineString{coordinates: b}), do: LineLine.relate(a, b) != :disjoint def intersects?(%Geo.LineString{} = a, %Geo.MultiLineString{} = b), do: intersects_any?(a, b, Geo.LineString) def intersects?(%Geo.LineString{} = a, %Geo.Polygon{coordinates: [b_exterior | b_holes]}) do LineRing.intersects?(b_exterior, a.coordinates) && LineRing.none_contain_line?(b_holes, a.coordinates) end def intersects?(%Geo.LineString{} = a, %Geo.MultiPolygon{} = b), do: intersects_any?(a, b, Geo.Polygon) def intersects?(%Geo.MultiLineString{} = a, %Geo.Point{} = b), do: intersects?(b, a) def intersects?(%Geo.MultiLineString{} = a, %Geo.MultiPoint{} = b), do: intersects?(b, a) def intersects?(%Geo.MultiLineString{} = a, %Geo.LineString{} = b), do: intersects?(b, a) def intersects?(%Geo.MultiLineString{} = a, %Geo.MultiLineString{} = b), do: intersects_any?(a, b, Geo.LineString) def intersects?(%Geo.MultiLineString{} = a, %Geo.Polygon{} = b), do: intersects_any?(b, a, Geo.LineString) def intersects?(%Geo.MultiLineString{} = a, %Geo.MultiPolygon{} = b), do: intersects_any?(a, b, Geo.Polygon) def intersects?(%Geo.Polygon{} = a, %Geo.Point{} = b), do: intersects?(b, a) def intersects?(%Geo.Polygon{} = a, %Geo.MultiPoint{} = b), do: intersects?(b, a) def intersects?(%Geo.Polygon{} = a, %Geo.LineString{} = b), do: intersects?(b, a) def intersects?(%Geo.Polygon{} = a, %Geo.MultiLineString{} = b), do: intersects?(b, a) def intersects?(%Geo.Polygon{coordinates: [a_exterior | a_holes]}, %Geo.Polygon{ coordinates: [b_exterior | b_holes] }) do RingRing.intersects?(a_exterior, b_exterior) && RingRing.none_contain_ring?(a_holes, b_exterior) && RingRing.none_contain_ring?(b_holes, a_exterior) end def intersects?(%Geo.Polygon{} = a, %Geo.MultiPolygon{} = b), do: intersects_any?(a, b, Geo.Polygon) def intersects?(%Geo.MultiPolygon{} = a, %Geo.Point{} = b), do: intersects?(b, a) def intersects?(%Geo.MultiPolygon{} = a, %Geo.MultiPoint{} = b), do: intersects?(b, a) def intersects?(%Geo.MultiPolygon{} = a, %Geo.LineString{} = b), do: intersects?(b, a) def intersects?(%Geo.MultiPolygon{} = a, %Geo.MultiLineString{} = b), do: intersects?(b, a) def intersects?(%Geo.MultiPolygon{} = a, %Geo.Polygon{} = b), do: intersects?(b, a) def intersects?(%Geo.MultiPolygon{} = a, %Geo.MultiPolygon{} = b), do: intersects_any?(a, b, Geo.Polygon) defp intersects_any?(a, b, component_struct) do Enum.any?(b.coordinates, fn b_comp -> intersects?(a, struct(component_struct, %{coordinates: b_comp})) end) end end ================================================ FILE: lib/topo/line_line.ex ================================================ defmodule Topo.LineLine do @moduledoc false alias Topo.Util @spec relate(list, list) :: atom def relate(a, b) do do_linestring_intersects_linestring(a, b) end @spec contains?(list, list) :: boolean def contains?([], _), do: false def contains?([_], _), do: false def contains?([a1, a2 | rest], [b1, b2]) do (Util.collinear?(a1, a2, b1) && Util.between?(a1, a2, b1) && Util.collinear?(a1, a2, b2) && Util.between?(a1, a2, b2)) || contains?([a2 | rest], [b1, b2]) end def contains?(a, b) do do_contains?(a, b) || do_contains?(Enum.reverse(a), b) end defp do_contains?(a, b) do cond do List.first(a) == List.last(a) && List.first(b) === List.last(b) -> ring_contains_ring?(Enum.drop(a, 1), Enum.drop(b, 1)) List.first(a) == List.last(a) -> ring_contains_line?(Enum.drop(a, 1), b) !contiguous_subset?(a, b |> Enum.drop(1) |> Enum.drop(-1)) -> false first_and_last_on_line?(a, b) -> true true -> false end end defp ring_contains_ring?(a, b, offset \\ 0) do cond do offset >= length(b) -> false Enum.drop(b, offset) ++ Enum.take(b, offset) == a -> true true -> ring_contains_ring?(a, b, offset + 1) end end defp ring_contains_line?(_, _, offset \\ 0) defp ring_contains_line?(a, _, offset) when offset >= length(a), do: false defp ring_contains_line?(a, b, offset) do spin = Enum.drop(a, offset) ++ Enum.take(a, offset) cond do !contiguous_subset?(spin, b |> Enum.drop(1) |> Enum.drop(-1)) -> ring_contains_line?(a, b, offset + 1) first_and_last_on_line?(spin, b) -> true true -> ring_contains_line?(a, b, offset + 1) end end defp contiguous_subset?(a, b) do Enum.take(line_up_head(a, b), length(b)) == b || Enum.take(line_up_head(Enum.reverse(a), b), length(b)) == b end defp line_up_head([], _), do: [] defp line_up_head([a | rest], [b | _]) when a == b, do: [a | rest] defp line_up_head([_ | rest], b), do: line_up_head(rest, b) defp first_and_last_on_line?(a, b) do i1 = Enum.find_index(a, &(&1 == Enum.at(b, 1))) in1 = length(a) - Enum.find_index(Enum.reverse(a), &(&1 == Enum.at(b, -2))) - 1 cond do i1 < in1 -> on_line_before?(a, List.first(b), i1) && on_line_after?(a, List.last(b), in1) i1 > in1 -> on_line_after?(a, List.first(b), i1) && on_line_before?(a, List.last(b), in1) i1 == in1 -> (on_line_after?(a, List.first(b), i1) && on_line_before?(a, List.last(b), in1)) || (on_line_before?(a, List.first(b), i1) && on_line_after?(a, List.last(b), in1)) end end defp on_line_before?(_, _, i) when i < 1, do: false defp on_line_before?(e, p, i) do a = Enum.at(e, i - 1) b = Enum.at(e, i) Util.collinear?(a, b, p) && Util.between?(a, b, p) end defp on_line_after?(e, _, i) when i + 1 >= length(e), do: false defp on_line_after?(e, p, i) do a = Enum.at(e, i + 1) b = Enum.at(e, i) Util.collinear?(a, b, p) && Util.between?(a, b, p) end defp do_linestring_intersects_linestring([], _), do: :disjoint defp do_linestring_intersects_linestring([_], _), do: :disjoint defp do_linestring_intersects_linestring([a, b | rest], ls) do case do_linestring_intersects_segment(ls, {a, b}) do :disjoint -> do_linestring_intersects_linestring([b | rest], ls) :edge -> :edge _ -> case do_linestring_intersects_linestring([b | rest], ls) do :edge -> :edge _ -> :interior end end end defp do_linestring_intersects_segment([], _), do: :disjoint defp do_linestring_intersects_segment([_], _), do: :disjoint defp do_linestring_intersects_segment([a, b | rest], {p1, p2}) do case SegSeg.intersection(a, b, p1, p2, epsilon: Util.epsilon()) do {_, :disjoint, _} -> do_linestring_intersects_segment([b | rest], {p1, p2}) {_, :edge, _} -> :edge _ -> case do_linestring_intersects_segment([b | rest], {p1, p2}) do :edge -> :edge _ -> :interior end end end end ================================================ FILE: lib/topo/line_ring.ex ================================================ defmodule Topo.LineRing do @moduledoc false alias Topo.PointRing alias Topo.Util @spec intersects?(list, list) :: boolean def intersects?(ring, line) do Util.any_edge_pair_not?(ring, line, :disjoint) || contains?(ring, line) end @spec contains?(list, list) :: boolean def contains?(ring, line) do (PointRing.any_point?(ring, line, :interior) || any_midpoint_interior?(ring, line)) && !PointRing.any_point?(ring, line, :disjoint) && !any_segment?(ring, line, :interior) end defp any_midpoint_interior?(_, [_]), do: false defp any_midpoint_interior?(a, [b1, b2 | rest]) do PointRing.relate(a, Util.midpoint(b1, b2)) == :interior || any_midpoint_interior?(a, [b2 | rest]) end defp any_segment?(_, [_], _), do: false defp any_segment?(a, [b1, b2 | rest], relation) do any_ring_segment?(a, b1, b2, relation) || any_segment?(a, [b2 | rest], relation) end defp any_ring_segment?([_], _, _, _), do: false defp any_ring_segment?([a1, a2 | rest], b1, b2, relation) do SegSeg.intersection(a1, a2, b1, b2, epsilon: Util.epsilon()) |> elem(1) == relation || any_ring_segment?([a2 | rest], b1, b2, relation) end @spec none_contain_line?(list, list) :: boolean def none_contain_line?(rings, line) do !Enum.any?(rings, fn ring -> !Util.any_edge_pair_not?(ring, line, :disjoint) && contains?(ring, line) end) end @spec line_exterior_to_all?(list, list) :: boolean def line_exterior_to_all?(rings, line) do Enum.all?(rings, fn ring -> !Util.any_edge_pair?(ring, line, :interior) && PointRing.any_point?(ring, line, :disjoint) end) end end ================================================ FILE: lib/topo/point_line.ex ================================================ defmodule Topo.PointLine do @moduledoc false @spec relate(list, {number, number}) :: atom def relate([_], _), do: :disjoint def relate([a, b | rest], p) do cond do a == p -> :vertex b == p -> :vertex Topo.Util.collinear?(a, b, p) && Topo.Util.between?(a, b, p) -> :edge true -> relate([b | rest], p) end end end ================================================ FILE: lib/topo/point_ring.ex ================================================ defmodule Topo.PointRing do @moduledoc false @type point :: {number, number} @spec relate(list, point) :: atom def relate(ring, {px, py}) do ring = for {x, y} <- ring, do: {x - px, y - py} {left_crosses, right_crosses} = count_crossing(ring) cond do right_crosses == :vertex -> :vertex rem(right_crosses, 2) != rem(left_crosses, 2) -> :edge rem(right_crosses, 2) == 1 -> :interior true -> :disjoint end end @spec relate_multi(list, point) :: atom def relate_multi([], _), do: :disjoint def relate_multi([a | rest], point) do case relate(a, point) do :disjoint -> relate_multi(rest, point) res -> res end end @spec any_point?(list, list, atom) :: boolean def any_point?(ring, points, rel) do Enum.any?(points, fn p -> relate(ring, p) == rel end) end defp count_crossing(ring) do count_crossing(ring, {0, 0}) end defp count_crossing([{x, y} | _], _) when x == 0 and y == 0, do: {:vertex, :vertex} defp count_crossing([a, b | rest], crosses) do crosses = calc_crosses(a, b, crosses) count_crossing([b | rest], crosses) end defp count_crossing(_, crosses) do crosses end defp calc_crosses({ax, ay}, {bx, by}, {left_crosses, right_crosses}) do cond do left_crosses == :vertex -> {:vertex, :vertex} ay > 0 != by > 0 && (ax * by - bx * ay) / (by - ay) > 0 -> {left_crosses, right_crosses + 1} ay < 0 != by < 0 && (ax * by - bx * ay) / (by - ay) < 0 -> {left_crosses + 1, right_crosses} true -> {left_crosses, right_crosses} end end end ================================================ FILE: lib/topo/ring_ring.ex ================================================ defmodule Topo.RingRing do @moduledoc false alias Topo.Util alias Topo.PointRing @spec intersects?(list, list) :: boolean def intersects?(a, b) do Util.any_edge_pair_not?(a, b, :disjoint) || !PointRing.any_point?(a, b, :disjoint) || !PointRing.any_point?(b, a, :disjoint) end @spec overlaps?(list, list) :: boolean def overlaps?(a, b) do Util.any_edge_pair?(a, b, :interior) || (PointRing.any_point?(a, b, :interior) || PointRing.any_point?(b, a, :interior)) end @spec contains?(list, list) :: boolean def contains?(a, b) do !Util.any_edge_pair?(a, b, :interior) && !PointRing.any_point?(a, b, :disjoint) end @spec none_contain_ring?(list, list) :: boolean def none_contain_ring?(rings, b) do Enum.all?(rings, fn ring -> Util.any_edge_pair_not?(ring, b, :disjoint) || PointRing.any_point?(ring, b, :disjoint) end) end end ================================================ FILE: lib/topo/util.ex ================================================ defmodule Topo.Util do @moduledoc false @epsilon Application.compile_env(:topo, :epsilon, false) @type point :: {number, number} @spec cross(point, point, point) :: number def cross({ax, ay}, {bx, by}, {cx, cy}) do {ax - cx, ay - cy} |> Vector.cross({bx - cx, by - cy}) |> Vector.component(:z) end @spec collinear?(point, point, point) :: boolean def collinear?(a, b, c) do cross(a, b, c) == 0 end @spec between?(point, point, point) :: boolean def between?({ax, ay}, {bx, by}, {px, py}) when ax == bx and ay == by and (px != ax and py != ay), do: false def between?({ax, ay}, {bx, by}, {_, py}) when ax == bx and ay != by, do: (ay <= py && py <= by) || (ay >= py && py >= by) def between?({ax, _}, {bx, _}, {px, _}), do: (ax <= px && px <= bx) || (ax >= px && px >= bx) @spec assert_no_collinear(list) :: list def assert_no_collinear([a, b, c | rest]) do if collinear?(a, c, b) && between?(a, c, b) do assert_no_collinear([a, c | rest]) else [a] ++ assert_no_collinear([b, c | rest]) end end def assert_no_collinear(ring), do: ring @spec midpoint(point, point) :: point def midpoint(a, b) do Vector.divide(Vector.add(a, b), 2) end @spec any_edge_pair_not?(list, list, atom) :: boolean def any_edge_pair_not?(a, b, rel) do do_any_edge_pair?(a, b, fn a1, a2, b1, b2 -> elem( SegSeg.intersection(a1, a2, b1, b2, epsilon: epsilon()), 1 ) != rel end) end @spec any_edge_pair?(list, list, atom) :: boolean def any_edge_pair?(a, b, rel) do do_any_edge_pair?(a, b, fn a1, a2, b1, b2 -> elem( SegSeg.intersection(a1, a2, b1, b2, epsilon: epsilon()), 1 ) == rel end) end @spec do_any_edge_pair?(list, list, function) :: boolean defp do_any_edge_pair?(_, [_], _), do: false defp do_any_edge_pair?(a, [b1, b2 | rest], fun) do any_edge?(a, [b1, b2], fun) || do_any_edge_pair?(a, [b2 | rest], fun) end @spec any_edge?(list, list, function) :: boolean defp any_edge?([_], _, _), do: false defp any_edge?([a1, a2 | rest], [b1, b2], fun) do fun.(a1, a2, b1, b2) || any_edge?([a2 | rest], [b1, b2], fun) end @spec epsilon() :: term() def epsilon(), do: @epsilon end ================================================ FILE: lib/topo.ex ================================================ defmodule Topo do alias Topo.Intersects alias Topo.Contains alias Topo.Cleaner @moduledoc ~S""" A Geometry library for Elixir that calculates relationships between two geometries. Geometries can be of any of the following types: * Point * LineString * Polygon * MultiPoint * MultiLineString * MultiPolygon Each of these functions can be passed any two Geometries in either a Map with a `:type` and `:coordinates` keys or as a struct generated via the Geo library (https://github.com/bryanjos/geo). Coordinates are represented as atoms `{x, y}` and multiple coordinates as Lists. ```elixir a = %{type: "Polygon", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} b = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} Topo.equals? a, b # => true ``` Instead of a Point geometry, just a single coordinate can be used. ```elixir a = %{type: "Polygon", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} Topo.intersects? a, {4, 6} # => true ``` The `Topo` library's functions will automatically attempt to "clean" geometries passed to them: * Linear Rings (including Polygons) will be reordered to a counter-clockwise direction. * Polygon's Linear Rings will automatically be closed if the first point is not repeated as the last point. * Points that are equal or collinear with surrounding points are removed from LineStrings or Polygons. """ @type geometry :: {number, number} | %{type: String.t(), coordinates: list} | %Geo.Point{} | %Geo.MultiPoint{} | %Geo.LineString{} | %Geo.MultiLineString{} | %Geo.Polygon{} | %Geo.MultiPolygon{} @doc ~S""" Returns `true` if geometries **A** and **B** share at least one point in common. ## Examples iex> Topo.intersects?( ...> %{type: "Polygon", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]}, ...> %{type: "LineString", coordinates: [{11, 10}, {4, 2.5}, {16, 2.5}, {11, 10}]} ...> ) true iex> Topo.intersects?( ...> %{type: "Polygon", coordinates: [ ...> [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}], ...> [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}]]}, ...> %{type: "MultiPoint", coordinates: [{70, 35}, {100, 80}]} ...> ) false """ @spec intersects?(geometry, geometry) :: boolean def intersects?(a, b), do: Intersects.intersects?(Cleaner.clean(a), Cleaner.clean(b)) @doc ~S""" Returns `true` if geometries **A** and **B** do not have any points in common. ## Examples iex> Topo.disjoint?({1, -3}, %{type: "MultiPoint", coordinates: [{70, 35}, {100, 80}]}) true iex> Topo.disjoint?( ...> %{type: "Polygon", coordinates: [ ...> [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}], ...> [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}]]}, ...> %Geo.MultiPoint{coordinates: [{70, 35}, {100, 80}]} ...> ) true """ @spec disjoint?(geometry, geometry) :: boolean def disjoint?(a, b), do: !Intersects.intersects?(Cleaner.clean(a), Cleaner.clean(b)) @doc ~S""" Returns `true` if all points of geometry **B** lie within **A**. There are a few non-obvious special cases that are worth mentioning: - A Polygon does not contain its own boundary. Specifically a LineString that is the exact same as a Polygon's exterior Linear ring is not contained within a that Polygon. ```elixir a = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} b = %Geo.LineString{coordinates: [{2, 2}, {20, 2}, {11, 11}, {2, 2}]} Topo.contains? a, b # => false Topo.intersects? a, b # => true ``` - A LineString does not contain it's own first and last point (unless those points are the same, as in a LinearRing) ```elixir a = %Geo.LineString{coordinates: [{1, 3}, {2, -1}, {0, -1}]} b = %Geo.LineString{coordinates: [{1, 3}, {2, -1}, {0, -1}, {1, 3}]} Topo.contains? a, {1, 3} # => false Topo.intersects? a, {1, 3} # => true Topo.contains? b, {1, 3} # => true ``` ## Examples iex> Topo.contains?( ...> %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]}, ...> %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]} ...> ) true iex> Topo.contains?( ...> %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]}, ...> %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]} ...> ) false """ @spec contains?(geometry, geometry) :: boolean def contains?(a, b), do: Contains.contains?(Cleaner.clean(a), Cleaner.clean(b)) @doc ~S""" This is the direct converse of `contains?`. All points of geometry **A** lie within geometry **B**. ## Examples iex> Topo.within?( ...> %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]}, ...> %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]} ...> ) false iex> Topo.within?( ...> %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]}, ...> %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]} ...> ) true """ @spec within?(geometry, geometry) :: boolean def within?(a, b), do: Contains.contains?(Cleaner.clean(b), Cleaner.clean(a)) @doc ~S""" Geometries **A** and **B** are equivalent and cover the exact same set of points. By definition, **A** and **B** are equal if **A** contains **B** and **B** contains **A**. Equality does not necessarily mean that the geometries are of the same type. A Point **A** is equal to a MultiPoint that contains only the same Point **A**. ## Examples iex> Topo.equals?( ...> %{type: "Point", coordinates: {2, -3}}, ...> %{type: "MultiPoint", coordinates: [{2, -3}]} ...> ) true iex> Topo.equals?( ...> %{type: "Polygon", coordinates: [[{160, 60}, {20, 20}, {100, 140}, {160, 60}]]}, ...> %{type: "Polygon", coordinates: [[{20, 20}, {20, 180}, {220, 180}, {220, 20}, {20, 20}]]} ...> ) false """ @spec equals?(geometry, geometry) :: boolean def equals?(a, b), do: do_equals?(Cleaner.clean(a), Cleaner.clean(b)) defp do_equals?(a, b), do: Contains.contains?(a, b) && Contains.contains?(b, a) end ================================================ FILE: mix.exs ================================================ defmodule Topo.Mixfile do use Mix.Project def project do [ app: :topo, version: "1.0.3", elixir: "~> 1.12", description: description(), package: package(), build_embedded: Mix.env() == :prod, start_permanent: Mix.env() == :prod, test_coverage: [tool: ExCoveralls], dialyzer: [plt_add_apps: [:poison, :mix]], deps: deps(), aliases: aliases(), # Docs name: "Topo", docs: [ main: "Topo", source_url: "https://github.com/pkinney/topo", source_ref: "master" ] ] end def application do [applications: [:logger, :geo, :seg_seg, :vector]] end defp deps do [ {:geo, "~> 3.1 or ~> 4.0"}, {:seg_seg, "~> 1.0"}, {:vector, "~> 1.0"}, {:poison, "~> 5.0", only: [:test, :dev]}, {:benchfella, "~> 0.3.0", only: :dev}, {:excoveralls, "~> 0.8", only: :test}, {:envelope, "~> 1.0", only: :dev}, {:earmark, "~> 1.2", only: :dev}, {:ex_doc, "~> 0.19", only: :dev}, {:credo, "~> 1.6", only: [:dev], runtime: false}, {:dialyxir, "~> 1.3", only: [:dev], runtime: false} ] end defp description do """ Geometry library for determining spatial relationships between geometries """ end defp package do [ files: ["lib/topo.ex", "lib/topo", "mix.exs", "README*"], maintainers: ["Powell Kinney"], licenses: ["MIT"], links: %{"GitHub" => "https://github.com/pkinney/topo"} ] end defp aliases do [ validate: [ "clean", "compile --warnings-as-error", "format --check-formatted", "credo", "dialyzer" ] ] end end ================================================ FILE: test/fixtures/poly.geo.json ================================================ { "type": "Polygon", "coordinates": [[[0, 0], [2, 0], [2, 2], [3, 1], [4, 2], [5, 2], [3, 3], [3, 2], [2, 4], [6, 3], [7, 4], [7, 2], [8, 5], [8, 7], [7, 7], [8, 8], [5, 9], [6, 6], [5, 7], [4, 6], [4, 8], [3, 7], [2, 7], [3, 6], [4, 4], [0, 7], [2, 3], [0, 2], [0, 0]]] } ================================================ FILE: test/input_format_test.exs ================================================ defmodule InputFormatTest do use ExUnit.Case test "should accept a Point as a single tuple" do assert Topo.equals?(%Geo.Point{coordinates: {2, -1}}, {2, -1}) end test "should accept a Point as a GeoJSON-like geometry" do assert Topo.equals?(%{type: "Point", coordinates: {2, -1}}, {2, -1}) end test "should accept a MultiPoint in GeoJSON-like format" do a = %{type: "MultiPoint", coordinates: [{2, 2}, {20, 2}, {11, 11}]} b = %Geo.MultiPoint{coordinates: [{2, 2}, {20, 2}, {11, 11}]} assert Topo.equals?(a, b) end test "should accept a LineString in GeoJSON-like format" do a = %{type: "LineString", coordinates: [{2, 2}, {20, 2}, {11, 11}, {2, 2}]} b = %Geo.LineString{coordinates: [{2, 2}, {20, 2}, {11, 11}, {2, 2}]} assert Topo.equals?(a, b) end test "should accept a MultiLineString in GeoJSON-like format" do a = %{ type: "MultiLineString", coordinates: [ [{2, 2}, {20, 2}, {11, 11}], [{1, -2}, {3, 1}] ] } b = %Geo.MultiLineString{ coordinates: [ [{2, 2}, {20, 2}, {11, 11}], [{1, -2}, {3, 1}] ] } assert Topo.equals?(a, b) end test "should accept a Polygon in GeoJSON-like format" do a = %{type: "Polygon", coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} b = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} assert Topo.equals?(a, b) end test "should accept a MultiPolygon in GeoJSON-like format" do a = %{ type: "MultiPolygon", coordinates: [ [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]], [[{1, -2}, {3, 1}, {0, 0}]] ] } b = %Geo.MultiPolygon{ coordinates: [ [[{2, 2}, {20, 2}, {11, 11}]], [[{1, -2}, {3, 1}, {0, 0}, {1, -2}]] ] } assert Topo.equals?(a, b) end end ================================================ FILE: test/linestring_polygon_test.exs ================================================ defmodule LineStringPolygonTest do use ExUnit.Case @exterior [{2, 2}, {20, 2}, {11, 11}, {2, 2}] @hole [{11, 9}, {5, 3}, {17, 3}, {11, 9}] @linestring %Geo.LineString{coordinates: @exterior} @hole_linestring %Geo.LineString{coordinates: @hole} @polygon %Geo.Polygon{coordinates: [@exterior]} @polygon_with_hole %Geo.Polygon{coordinates: [@exterior, @hole]} test "polygon should intersect its own exterior linear ring" do assert Topo.intersects?(@polygon, @linestring) assert Topo.intersects?(@linestring, @polygon) end test "polygon should not contain its own exterior linear ring" do refute Topo.contains?(@polygon, @linestring) end test "polygon should intersect its own hole's linear ring" do assert Topo.intersects?(@polygon_with_hole, @hole_linestring) assert Topo.intersects?(@hole_linestring, @polygon_with_hole) end test "polygon should not contain its own hole's linear ring" do refute Topo.contains?(@polygon_with_hole, @hole_linestring) end test "polygon should intersect and contain linestring that shares a vertex and is within the polygon" do b = %Geo.LineString{coordinates: Enum.take(@exterior, 1) ++ Enum.take(@hole, 1)} assert Topo.intersects?(@polygon, b) assert Topo.contains?(@polygon, b) end test "polygon should intersect but not contain linestring that shares a vertex and is outside the polygon" do b = %Geo.LineString{coordinates: Enum.take(@exterior, 1) ++ [{0, 0}]} assert Topo.intersects?(@polygon, b) refute Topo.contains?(@polygon, b) end test "line that crosses hole inside of polygon" do b = %Geo.LineString{coordinates: [{11, 10}, {4, 2.5}, {16, 2.5}, {11, 10}]} assert Topo.intersects?(@polygon_with_hole, b) assert Topo.contains?(@polygon, b) refute Topo.contains?(@polygon_with_hole, b) end test "line that crosses hole inside of polygon but the midpoint is still outside the hole" do a = %Geo.Polygon{coordinates: [@exterior, [{11, 4}, {5, 3}, {17, 3}, {11, 4}]]} b = %Geo.LineString{coordinates: [{11, 10}, {4, 2.5}, {16, 2.5}, {11, 10}]} assert Topo.intersects?(@polygon_with_hole, b) assert Topo.contains?(@polygon, b) refute Topo.contains?(a, b) end test "line within a polygon only touching the boundary" do a = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150)" |> Geo.WKT.decode!() b = "LINESTRING (70 70, 80 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) assert Topo.contains?(a, b) end test "line outside a polygon only touching the boundary" do a = "POLYGON ((150 150, 0 0, 280 20, 20 20, 150 150)" |> Geo.WKT.decode!() b = "LINESTRING (70 70, 80 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) end test "line within a polygon with hole only touching the boundary but crosses a hole" do a = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 140 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) end test "line within hole that touches two edges" do a = "POLYGON((0 0, 10 0, 10 10, 0 10, 0 0),(3 3, 6 3, 8 5, 6 7, 3 7, 3 3))" |> Geo.WKT.decode!() b = "LINESTRING(7 6, 7 4)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) end test "line outside of hole that touches two edges" do a = "POLYGON((0 0, 10 0, 10 10, 0 10, 0 0),(3 3, 8 3, 6 5, 8 7, 3 7, 3 3))" |> Geo.WKT.decode!() b = "LINESTRING(7 6, 7 4)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) end test "line with endpoints in polygon but traversing outside of polygon" do a = "POLYGON((-5.101858494086758 -11.626978433639922,-6.083357021603929 1.3948583572266788,2.7612355354927542 1.618714536326428,11.47787952519244 7.668167122436479,1.0000000000000002 18.5,-1.5 16.0,6.52212047480756 8.33183287756352,1.2387644645072458 6.3812854636735725,-9.916642978396071 4.6051416427733205,-8.626978433639922 -11.898141505913241,-5.101858494086758 -11.626978433639922))" |> Geo.WKT.decode!() b = "LINESTRING(-2.7 2.2,-6.5 -3.1)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) end test "line with endpoints in polygon but traversing outside of polygon not at a midpoint" do a = "POLYGON((-5.101858494086758 -11.626978433639922,-6.083357021603929 1.3948583572266788,2.7612355354927542 1.618714536326428,11.47787952519244 7.668167122436479,1.0000000000000002 18.5,-1.5 16.0,6.52212047480756 8.33183287756352,1.2387644645072458 6.3812854636735725,-9.916642978396071 4.6051416427733205,-8.626978433639922 -11.898141505913241,-5.101858494086758 -11.626978433639922))" |> Geo.WKT.decode!() b = "LINESTRING(-6.5 0.3, 9 8.5)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) end test "line with endpoints in polygon but one leg traversing outside of polygon" do a = "POLYGON((-5.101858494086758 -11.626978433639922,-6.083357021603929 1.3948583572266788,2.7612355354927542 1.618714536326428,11.47787952519244 7.668167122436479,1.0000000000000002 18.5,-1.5 16.0,6.52212047480756 8.33183287756352,1.2387644645072458 6.3812854636735725,-9.916642978396071 4.6051416427733205,-8.626978433639922 -11.898141505913241,-5.101858494086758 -11.626978433639922))" |> Geo.WKT.decode!() b = "LINESTRING(-6.5 0.3, 9 8.5, 7 9.5)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) end test "line that touches a corner but stays internal to a polygon (only works when epsilon is set to true)" do a = "POLYGON((0 0,10 0,10 3,4 3,4 7,10 7,10 10,0 10,0 0))" |> Geo.WKT.decode!() b = "LINESTRING(6.05 9.05,3.95 6.95,1.05 1.05)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) assert Topo.contains?(a, b) end end ================================================ FILE: test/multipoint_multipoint_test.exs ================================================ defmodule MultiPointMultPointTest do use ExUnit.Case @multi_point %Geo.MultiPoint{coordinates: [{-1, 2}, {3, -5}, {2, 0}]} test "MultiPoint should intersect itself" do assert Topo.intersects?(@multi_point, @multi_point) end test "MultiPoint should not be disjoint from itself" do refute Topo.disjoint?(@multi_point, @multi_point) end test "MultiPoint should contain itself" do assert Topo.contains?(@multi_point, @multi_point) end test "MultiPoint should be within itself" do assert Topo.within?(@multi_point, @multi_point) end test "MultiPoint should equal itself" do assert Topo.equals?(@multi_point, @multi_point) end test "MultiPoint pair that share at least on point" do b = %Geo.MultiPoint{coordinates: [{3, -5}, {1, 2}, {0, -1}]} assert Topo.intersects?(@multi_point, b) assert Topo.intersects?(b, @multi_point) refute Topo.disjoint?(@multi_point, b) refute Topo.disjoint?(b, @multi_point) refute Topo.contains?(@multi_point, b) refute Topo.within?(@multi_point, b) refute Topo.equals?(@multi_point, b) end test "MultiPoint pair that share no points" do b = %Geo.MultiPoint{coordinates: [{-1, -5}, {1, -1}]} refute Topo.intersects?(@multi_point, b) refute Topo.intersects?(b, @multi_point) assert Topo.disjoint?(@multi_point, b) assert Topo.disjoint?(b, @multi_point) refute Topo.contains?(@multi_point, b) refute Topo.within?(@multi_point, b) refute Topo.equals?(@multi_point, b) end test "MultiPoint pair where one is a subset of the other" do b = %Geo.MultiPoint{coordinates: [{-1, 2}, {2, 0}]} assert Topo.intersects?(@multi_point, b) assert Topo.intersects?(b, @multi_point) refute Topo.disjoint?(@multi_point, b) refute Topo.disjoint?(b, @multi_point) assert Topo.contains?(@multi_point, b) refute Topo.within?(@multi_point, b) refute Topo.equals?(@multi_point, b) end end ================================================ FILE: test/multipoint_multipolygon_test.exs ================================================ defmodule MultiPointMultiPolygonTest do use ExUnit.Case @multipolygon %Geo.MultiPolygon{ coordinates: [ [ [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}], [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}] ], [[{70, 10}, {100, 10}, {90, 25}, {60, 20}, {70, 10}]] ] } test "One Point in one polygon of a MultiPolygons" do b = %Geo.MultiPoint{coordinates: [{70, 50}, {100, 80}]} assert Topo.intersects?(@multipolygon, b) assert Topo.intersects?(b, @multipolygon) refute Topo.contains?(@multipolygon, b) end test "Both Points outside of a MultiPolygons" do b = %Geo.MultiPoint{coordinates: [{70, 35}, {100, 80}]} refute Topo.intersects?(@multipolygon, b) refute Topo.intersects?(b, @multipolygon) refute Topo.contains?(@multipolygon, b) end test "Both Points inside of a MultiPolygons" do b = %Geo.MultiPoint{coordinates: [{70, 50}, {80, 15}]} assert Topo.intersects?(@multipolygon, b) assert Topo.intersects?(b, @multipolygon) assert Topo.contains?(@multipolygon, b) end end ================================================ FILE: test/multipoint_polygon_test.exs ================================================ defmodule MultiPointPolygonTest do use ExUnit.Case @polygon %Geo.MultiPolygon{ coordinates: [ [ [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}], [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}] ] ] } test "One Point in a Polygon" do b = %Geo.MultiPoint{coordinates: [{70, 50}, {100, 80}]} assert Topo.intersects?(@polygon, b) assert Topo.intersects?(b, @polygon) refute Topo.contains?(@polygon, b) end test "Both Points outside of a Polygon" do b = %Geo.MultiPoint{coordinates: [{70, 35}, {100, 80}]} refute Topo.intersects?(@polygon, b) refute Topo.intersects?(b, @polygon) refute Topo.contains?(@polygon, b) end test "Both Points inside of a Polygon" do b = %Geo.MultiPoint{coordinates: [{70, 50}, {71, 55}]} assert Topo.intersects?(@polygon, b) assert Topo.intersects?(b, @polygon) assert Topo.contains?(@polygon, b) end end ================================================ FILE: test/point_linestring_test.exs ================================================ defmodule PointLineStringTest do use ExUnit.Case @point %Geo.Point{coordinates: {14, 18}} @linestring %Geo.LineString{ coordinates: [{4, 2}, {4, 4}, {10, 10}, {15, 10}, {20, 12}, {8, 24}, {12, 24}] } @multilinestring %Geo.MultiLineString{ coordinates: [ [{4, 2}, {4, 4}, {10, 10}, {15, 10}, {20, 12}, {8, 24}, {12, 24}], [{1, 3}, {2, -1}, {0, -1}, {1, 3}] ] } test "point should intersect a linestring that it lies on" do assert Topo.intersects?(@point, @linestring) assert Topo.intersects?(@linestring, @point) end test "point should not be disjoint from a linestring that contains itself" do refute Topo.disjoint?(@point, @linestring) refute Topo.disjoint?(@linestring, @point) end test "point should not contain a linestring" do refute Topo.contains?(@point, @linestring) end test "point should be within a linestring that it lies on" do assert Topo.within?(@point, @linestring) end test "point should not equal a linestring" do refute Topo.equals?(@point, @linestring) end test "point on the first point of a linestring" do b = %Geo.Point{coordinates: List.first(@linestring.coordinates)} assert Topo.intersects?(@linestring, b) assert Topo.intersects?(b, @linestring) refute Topo.disjoint?(@linestring, b) refute Topo.disjoint?(b, @linestring) refute Topo.contains?(@linestring, b) refute Topo.within?(@linestring, b) refute Topo.equals?(@linestring, b) end test "a LineString does not contain it's endpoints" do a = %Geo.Point{coordinates: List.first(@linestring.coordinates)} b = %Geo.Point{coordinates: List.last(@linestring.coordinates)} refute Topo.contains?(@linestring, a) refute Topo.contains?(@linestring, b) end test "point on one of the points in a LineString" do b = %Geo.Point{coordinates: Enum.at(@linestring.coordinates, 2)} assert Topo.intersects?(@linestring, b) assert Topo.intersects?(b, @linestring) refute Topo.disjoint?(@linestring, b) refute Topo.disjoint?(b, @linestring) assert Topo.contains?(@linestring, b) refute Topo.within?(@linestring, b) refute Topo.equals?(@linestring, b) end test "point not on a LineString" do b = %Geo.Point{coordinates: {12, 5}} refute Topo.intersects?(@linestring, b) refute Topo.intersects?(b, @linestring) assert Topo.disjoint?(@linestring, b) assert Topo.disjoint?(b, @linestring) refute Topo.contains?(@linestring, b) refute Topo.within?(@linestring, b) refute Topo.equals?(@linestring, b) end test "point not on a MultiLineString" do b = %Geo.Point{coordinates: {12, 5}} refute Topo.intersects?(@multilinestring, b) refute Topo.intersects?(b, @multilinestring) assert Topo.disjoint?(@multilinestring, b) assert Topo.disjoint?(b, @multilinestring) refute Topo.contains?(@multilinestring, b) refute Topo.within?(@multilinestring, b) refute Topo.equals?(@multilinestring, b) end test "point on one linestring of a MultiLineString" do assert Topo.intersects?(@multilinestring, @point) assert Topo.intersects?(@point, @multilinestring) refute Topo.disjoint?(@multilinestring, @point) refute Topo.disjoint?(@point, @multilinestring) assert Topo.contains?(@multilinestring, @point) refute Topo.within?(@multilinestring, @point) refute Topo.equals?(@multilinestring, @point) end end ================================================ FILE: test/point_multipoint_test.exs ================================================ defmodule PointMultiPointTest do use ExUnit.Case @point %Geo.Point{coordinates: {3, -5}} @multi_point %Geo.MultiPoint{coordinates: [{-1, 2}, {3, -5}]} test "point should intersect a multipoint that contains itself" do assert Topo.intersects?(@point, @multi_point) assert Topo.intersects?(@multi_point, @point) end test "point should not be disjoint from a multipoint that contains itself" do refute Topo.disjoint?(@point, @multi_point) refute Topo.disjoint?(@multi_point, @point) end test "point should not contain a multipoint that contains any other point" do refute Topo.contains?(@point, @multi_point) end test "point should be within a multipoint that contains itself" do assert Topo.within?(@point, @multi_point) end test "point should not equal a multipoint that contains any other point" do refute Topo.equals?(@point, @multi_point) end test "point should contain a multipoint that contains only that point" do assert Topo.contains?(@point, %Geo.MultiPoint{coordinates: [@point.coordinates]}) end test "point should be within a multipoint that contains only that point" do assert Topo.within?(@point, %Geo.MultiPoint{coordinates: [@point.coordinates]}) end test "point should equal a multipoint that contains only that point" do assert Topo.equals?(@point, %Geo.MultiPoint{coordinates: [@point.coordinates]}) end end ================================================ FILE: test/point_multipolygon_test.exs ================================================ defmodule PointMultiPolygonTest do use ExUnit.Case @multipolygon %Geo.MultiPolygon{ coordinates: [ [ [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}], [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}] ], [[{70, 10}, {100, 10}, {90, 25}, {60, 20}, {70, 10}]] ] } test "Point in one polygon of a MultiPolygons" do assert Topo.intersects?(@multipolygon, {70, 50}) assert Topo.intersects?({70, 50}, @multipolygon) assert Topo.intersects?(@multipolygon, {80, 15}) assert Topo.intersects?({80, 15}, @multipolygon) assert Topo.contains?(@multipolygon, {70, 50}) assert Topo.contains?(@multipolygon, {80, 15}) end test "Point outside both polygons of a MultiPolygons" do refute Topo.intersects?(@multipolygon, {70, 35}) refute Topo.contains?(@multipolygon, {70, 35}) end test "Point inside the hole of a polygon of a MultiPolygons" do refute Topo.intersects?(@multipolygon, {100, 80}) refute Topo.contains?(@multipolygon, {100, 80}) end end ================================================ FILE: test/point_point_test.exs ================================================ defmodule PointPointTest do use ExUnit.Case @point %Geo.Point{coordinates: {3, -5}} test "point should intersect itself" do assert Topo.intersects?(@point, @point) end test "point should intersect in coordinates only" do assert Topo.intersects?(@point, %{@point | properties: %{foo: :bar}}) end test "point should not be disjoint from itself" do refute Topo.disjoint?(@point, @point) end test "point should contain itself" do assert Topo.contains?(@point, @point) end test "point should be within itself" do assert Topo.within?(@point, @point) end test "point should equal itself" do assert Topo.equals?(@point, @point) end test "point should not intersect a different point" do refute Topo.intersects?(@point, %Geo.Point{coordinates: {-1, 2}}) end test "point should be disjoint a different point" do assert Topo.disjoint?(@point, %Geo.Point{coordinates: {-1, 2}}) end test "point should not contain a different point" do refute Topo.contains?(@point, %Geo.Point{coordinates: {-1, 2}}) end test "point should not be within a different point" do refute Topo.within?(@point, %Geo.Point{coordinates: {-1, 2}}) end test "point should not equal a different point" do refute Topo.equals?(@point, %Geo.Point{coordinates: {-1, 2}}) end end ================================================ FILE: test/point_polygon_test.exs ================================================ defmodule PointPolygonTest do use ExUnit.Case @convex %Geo.Polygon{coordinates: [[{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}]]} @concave Path.join(["test", "fixtures", "poly.geo.json"]) |> File.read!() |> Poison.decode!() |> Geo.JSON.decode!() @with_hole %Geo.Polygon{ coordinates: [ [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}], [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}] ] } test "Point inside a convex polygon" do assert Topo.intersects?(@convex, {100, 70}) assert Topo.contains?(@convex, {100, 70}) end test "Point inside a concave polygon" do assert Topo.intersects?(@concave, {3.5, 6.5}) assert Topo.intersects?(@concave, {1, 2}) end test "Point outside a convex polygon" do refute Topo.intersects?(@convex, {0, 0}) refute Topo.contains?(@convex, {0, 0}) end test "Point outside a concave polygon" do refute Topo.intersects?(@concave, {3, 5}) refute Topo.contains?(@concave, {3, 5}) end test "Point on the edge of a polygon" do assert Topo.intersects?(@convex, {60, 80}) refute Topo.contains?(@convex, {60, 80}) assert Topo.intersects?(@concave, {2.5, 7}) refute Topo.contains?(@concave, {2.5, 7}) end test "Point on a vertex of a polygon" do assert Topo.intersects?(@convex, {160, 40}) refute Topo.contains?(@convex, {160, 40}) assert Topo.intersects?(@convex, {60, 120}) refute Topo.contains?(@convex, {60, 120}) assert Topo.intersects?(@concave, {3, 2}) refute Topo.contains?(@concave, {3, 2}) end test "Point inside the exterior of a polygon" do assert Topo.intersects?(@with_hole, {70, 50}) assert Topo.contains?(@with_hole, {70, 50}) end test "Point inside the hole of a polygon" do refute Topo.intersects?(@with_hole, {100, 80}) refute Topo.contains?(@with_hole, {100, 80}) end test "Point on a vertex of the hole of a polygon" do assert Topo.intersects?(@with_hole, {80, 100}) refute Topo.contains?(@with_hole, {80, 100}) end test "Point on an edge of the hole of a polygon" do assert Topo.intersects?(@with_hole, {80, 70}) refute Topo.contains?(@with_hole, {80, 70}) end end ================================================ FILE: test/polygon_polygon_test.exs ================================================ defmodule PolygonPolygonTest do use ExUnit.Case @polygon Path.join(["test", "fixtures", "poly.geo.json"]) |> File.read!() |> Poison.decode!() |> Geo.JSON.decode!() @polygon_with_hole "POLYGON ((15 15, 41 15, 28 2, 2 2, 15 15),(17 12, 33 12, 26 5, 10 5, 17 12))" |> Geo.WKT.decode!() test "Polygon should intersect itself" do assert Topo.intersects?(@polygon, @polygon) end test "Polygon should contain itself" do assert Topo.contains?(@polygon, @polygon) end test "Polygon should contain itself both with floating-point and integer coordinates" do triangle_int = %Geo.Polygon{coordinates: [[{2, 2}, {20, 2}, {11, 11}, {2, 2}]]} triangle_float = %Geo.Polygon{ coordinates: [[{2.0, 2.0}, {20.0, 2.0}, {11.0, 11.0}, {2.0, 2.0}]] } assert Topo.contains?(triangle_int, triangle_int) assert Topo.contains?(triangle_float, triangle_int) assert Topo.contains?(triangle_int, triangle_float) assert Topo.contains?(triangle_float, triangle_float) assert Topo.equals?(triangle_int, triangle_int) assert Topo.equals?(triangle_float, triangle_int) assert Topo.equals?(triangle_int, triangle_float) assert Topo.equals?(triangle_float, triangle_float) end test "Polygon with holes should intersect itself" do assert Topo.intersects?(@polygon_with_hole, @polygon_with_hole) end test "Polygon with holes should contain itself" do assert Topo.contains?(@polygon_with_hole, @polygon_with_hole) end test "Polygon with holes should intersect its exterior" do b = %Geo.Polygon{coordinates: [List.first(@polygon_with_hole.coordinates)]} assert Topo.intersects?(@polygon_with_hole, b) assert Topo.intersects?(b, @polygon_with_hole) end test "Polygon with holes should not contain its exterior" do b = %Geo.Polygon{coordinates: [List.first(@polygon_with_hole.coordinates)]} refute Topo.contains?(@polygon_with_hole, b) assert Topo.contains?(b, @polygon_with_hole) end test "Polygon should intersect an overlapping polygon" do a = %Geo.Polygon{coordinates: [[{-1, -1}, {7, -2}, {3, 8}, {-1, -1}]]} assert Topo.intersects?(@polygon, a) end test "Different polygons that don't touch or overlap should not intersect" do a = %Geo.Polygon{coordinates: [[{-1, -1}, {-7, -2}, {-3, -8}, {-1, -1}]]} refute Topo.intersects?(@polygon, a) refute Topo.contains?(@polygon, a) refute Topo.contains?(a, @polygon) end test "polygons touching on closing point" do a = %Geo.Polygon{coordinates: [[{0, 0}, {-7, -2}, {-3, -8}, {0, 0}]]} assert Topo.intersects?(@polygon, a) refute Topo.contains?(@polygon, a) refute Topo.contains?(a, @polygon) end test "polygon fully inside the hole of another polygon" do a = "POLYGON ((15 15, 41 15, 28 2, 2 2, 15 15),(17 12, 33 12, 26 5, 10 5, 17 12))" |> Geo.WKT.decode!() b = "POLYGON ((19 10, 29 10, 26 7, 16 7, 19 10))" |> Geo.WKT.decode!() refute Topo.intersects?(a, b) refute Topo.intersects?(b, a) refute Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon inside the hole of another polygon but touching one edge of the hole" do a = "POLYGON ((15 15, 41 15, 28 2, 2 2, 15 15),(17 12, 33 12, 26 5, 10 5, 17 12))" |> Geo.WKT.decode!() b = "POLYGON ((19 10, 23 12, 29 10, 26 7, 16 7, 19 10))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon exactly inside the hole of another polygon" do a = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() b = "POLYGON ((170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon inside the hole of another polygon touching the closing point" do a = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() b = "POLYGON ((170 120, 230 120, 290 100, 260 70, 160 70, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon inside the hole of another polygon touching the closing point of the hole and exterior" do a = "POLYGON ((170 120, 410 150, 280 20, 20 20, 170 120),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() b = "POLYGON ((170 120, 230 120, 290 100, 260 70, 160 70, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon inside another polygon that has a hole" do a = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))" |> Geo.WKT.decode!() b = "POLYGON ((280 130, 360 130, 270 40, 190 40, 280 130))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) assert Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon overlapping hole with midpoint in hole" do a = "POLYGON((0 0, 10 0, 10 10, 0 10, 0 0),(2 3,6 3, 6 7, 2 7, 2 3))" |> Geo.WKT.decode!() b = "POLYGON((5 1, 5 9, 8 9, 8 1, 5 1))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon overlapping hole with midpoint outside the hole" do a = "POLYGON((0 0, 10 0, 10 10, 0 10, 0 0),(2 3,6 3, 6 4, 2 4, 2 3))" |> Geo.WKT.decode!() b = "POLYGON((5 1, 5 9, 8 9, 8 1, 5 1))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon with overlapping hole that only touches on the endpoints of the hole" do a = "POLYGON((0 0, 10 0, 10 10, 0 10, 0 0),(7 2, 7 7, 2 7, 2 2, 7 2))" |> Geo.WKT.decode!() b = "POLYGON((8 1, 1 8, 8 8, 8 1))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon with overlapping hole that only touches on the endpoints of the hole with the midpoint outside of the hole" do a = "POLYGON((0 0, 10 0, 10 10, 0 10, 0 0),(7 2, 7 3, 6 3, 6 2, 7 2))" |> Geo.WKT.decode!() b = "POLYGON((8 1, 1 8, 8 8, 8 1))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) refute Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon contained in polygon with touching hole that only touches on the endpoints of the hole" do a = "POLYGON((0 0, 10 0, 10 10, 0 10, 0 0),(7 2, 3 3, 2 7, 2 2, 7 2))" |> Geo.WKT.decode!() b = "POLYGON((8 1, 1 8, 8 8, 8 1))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) assert Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon with touching hole that only touches on the endpoints of the hole but one touch is at the midpoint" do a = "POLYGON((0 0, 10 0, 10 10, 0 10, 0 0),(7 3, 4 3, 5 5, 2 2, 7 2))" |> Geo.WKT.decode!() b = "POLYGON((8 2, 2 8, 8 8, 8 2))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) assert Topo.contains?(a, b) refute Topo.contains?(b, a) end test "polygon with hole inside polygon with touching hole that only touches on the endpoints of the hole but one touch is at the midpoint" do a = "POLYGON((0 0, 10 0, 10 10, 0 10, 0 0),(7 3, 4 3, 5 5, 2 2, 7 2))" |> Geo.WKT.decode!() b = "POLYGON((8 2, 2 8, 8 8, 8 2),(6 5, 6 7, 5 7, 6 5))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) assert Topo.intersects?(b, a) assert Topo.contains?(a, b) refute Topo.contains?(b, a) end end ================================================ FILE: test/test_helper.exs ================================================ ExUnit.start() ================================================ FILE: test/topo_test.exs ================================================ defmodule TopoTest do use ExUnit.Case doctest Topo test "the truth" do assert 1 + 1 == 2 end end ================================================ FILE: test/util/clean_linestring_test.exs ================================================ defmodule CleanLineStringTest do use ExUnit.Case @valid_line [{60, 120}, {60, 40}, {160, 40}] test "remove a duplicate point" do b = %Geo.LineString{coordinates: List.insert_at(@valid_line, 1, Enum.at(@valid_line, 1))} assert Topo.Cleaner.clean(b).coordinates === @valid_line end test "remove a collinear point" do b = %Geo.LineString{coordinates: List.insert_at(@valid_line, 1, {60, 73})} assert Topo.Cleaner.clean(b).coordinates === @valid_line end test "remove a duplicate point from a MultiLineString" do b = %Geo.MultiLineString{ coordinates: [ List.insert_at(@valid_line, 1, Enum.at(@valid_line, 1)), List.insert_at(@valid_line, 0, Enum.at(@valid_line, 0)) ] } assert Topo.Cleaner.clean(b).coordinates === [@valid_line, @valid_line] end end ================================================ FILE: test/util/clean_polygon_test.exs ================================================ defmodule CleanPolygonTest do use ExUnit.Case @valid_ring [{60, 120}, {60, 40}, {160, 40}, {160, 120}, {60, 120}] @valid_hole [{140, 100}, {80, 100}, {80, 60}, {140, 60}, {140, 100}] @exterior {20, 20} @interior {70, 70} @in_hole {100, 80} test "reverse an incorrect exterior" do polygon = %Geo.Polygon{ coordinates: [ Enum.reverse(@valid_ring), @valid_hole ] } refute Topo.intersects?(polygon, @exterior) assert Topo.intersects?(polygon, @interior) refute Topo.intersects?(polygon, @in_hole) end test "reverse an incorrect hole" do polygon = %Geo.Polygon{ coordinates: [ @valid_ring, Enum.reverse(@valid_hole) ] } refute Topo.intersects?(polygon, @exterior) assert Topo.intersects?(polygon, @interior) refute Topo.intersects?(polygon, @in_hole) end test "repeat the first point at the end of the exterior" do polygon = %Geo.Polygon{ coordinates: [ Enum.drop(@valid_ring, -1), @valid_hole ] } refute Topo.intersects?(polygon, @exterior) assert Topo.intersects?(polygon, @interior) refute Topo.intersects?(polygon, @in_hole) end test "repeat the first point at the end of the hole" do polygon = %Geo.Polygon{ coordinates: [ @valid_ring, Enum.drop(@valid_hole, -1) ] } refute Topo.intersects?(polygon, @exterior) assert Topo.intersects?(polygon, @interior) refute Topo.intersects?(polygon, @in_hole) end test "repeat the first point at the end of the hole in a MultiPolygon" do polygon = %Geo.MultiPolygon{ coordinates: [ [ @valid_ring, Enum.drop(@valid_hole, -1) ], [ [{6, 12}, {6, 4}, {16, 4}, {16, 12}, {6, 12}] ] ] } refute Topo.intersects?(polygon, @exterior) assert Topo.intersects?(polygon, @interior) refute Topo.intersects?(polygon, @in_hole) end test "repeat the first point at the end of the hole in a MultiPolygon 2" do polygon = %Geo.MultiPolygon{ coordinates: [ [ [{6, 12}, {6, 4}, {16, 4}, {16, 12}, {6, 12}] ], [ @valid_ring, Enum.drop(@valid_hole, -1) ] ] } refute Topo.intersects?(polygon, @exterior) assert Topo.intersects?(polygon, @interior) refute Topo.intersects?(polygon, @in_hole) end test "clean a GeoJSON-like map" do polygon = %{ type: "MultiPolygon", coordinates: [ [ [{6, 12}, {6, 4}, {16, 4}, {16, 12}, {6, 12}] ], [ @valid_ring, Enum.drop(@valid_hole, -1) ] ] } refute Topo.intersects?(polygon, @exterior) assert Topo.intersects?(polygon, @interior) refute Topo.intersects?(polygon, @in_hole) end end ================================================ FILE: test/validation/line_complex_a_test.exs ================================================ defmodule Intersect.Validation.LineComplexATest do use ExUnit.Case @tag :validation @tag :skip test "06-001 - LC - topographically equal with no boundary" do a = "LINESTRING (0 0, 0 50, 50 50, 50 0, 0 0)" |> Geo.WKT.decode!() b = "MULTILINESTRING ((0 0, 0 50),(0 50, 50 50),(50 50, 50 0),(50 0, 0 0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation @tag :skip test "06-001 - LC - topographically equal with no boundary (float)" do a = "LINESTRING(0.0 0.0,0.0 50.0,50.0 50.0,50.0 0.0,0.0 0.0)" |> Geo.WKT.decode!() b = "MULTILINESTRING((0.0 0.0,0.0 50.0),(0.0 50.0,50.0 50.0),(50.0 50.0,50.0 0.0),(50.0 0.0,0.0 0.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation @tag :skip test "06-002 - LC - intersection (containment) along mod-2 A-Int line segment" do a = "LINESTRING (40 180, 140 180)" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((20 320, 180 320, 180 180, 20 180, 20 320)),((20 180, 20 80, 180 80, 180 180, 20 180)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "06-002 - LC - intersection (containment) along mod-2 A-Int line segment (float)" do a = "LINESTRING(40.0 180.0,140.0 180.0)" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((20.0 320.0,180.0 320.0,180.0 180.0,20.0 180.0,20.0 320.0)),((20.0 180.0,20.0 80.0,180.0 80.0,180.0 180.0,20.0 180.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "06-003 - LC - intersection (overlap) along mod-2 A-Int line segment" do a = "LINESTRING (40 180, 140 180)" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((20 320, 180 320, 180 180, 20 180, 20 320)),((60 180, 60 80, 180 80, 180 180, 60 180)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "06-003 - LC - intersection (overlap) along mod-2 A-Int line segment (float)" do a = "LINESTRING(40.0 180.0,140.0 180.0)" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((20.0 320.0,180.0 320.0,180.0 180.0,20.0 180.0,20.0 320.0)),((60.0 180.0,60.0 80.0,180.0 80.0,180.0 180.0,60.0 180.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "06-004 - LC - equal with boundary intersection" do a = "LINESTRING (0 0, 60 0, 60 60, 60 0, 120 0)" |> Geo.WKT.decode!() b = "MULTILINESTRING ((0 0, 60 0),(60 0, 120 0),(60 0, 60 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation @tag :skip test "06-004 - LC - equal with boundary intersection (float)" do a = "LINESTRING(0.0 0.0,60.0 0.0,60.0 60.0,60.0 0.0,120.0 0.0)" |> Geo.WKT.decode!() b = "MULTILINESTRING((0.0 0.0,60.0 0.0),(60.0 0.0,120.0 0.0),(60.0 0.0,60.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end end ================================================ FILE: test/validation/line_line_a_test.exs ================================================ defmodule Intersect.Validation.LineLineATest do use ExUnit.Case @tag :validation test "04-001 - L/L.1-3-1: touching at the start points of two lines" do a = "LINESTRING (40 40, 120 120)" |> Geo.WKT.decode!() b = "LINESTRING (40 40, 60 120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-001 - L/L.1-3-1: touching at the start points of two lines (float)" do a = "LINESTRING(40.0 40.0,120.0 120.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 40.0,60.0 120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-002 - L/L.1-3-2: start point of one line touching end point of another line" do a = "LINESTRING (40 40, 120 120)" |> Geo.WKT.decode!() b = "LINESTRING (60 240, 40 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-002 - L/L.1-3-2: start point of one line touching end point of another line (float)" do a = "LINESTRING(40.0 40.0,120.0 120.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 240.0,40.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-003 - L/L.1-3-3: start point of a line touching the interior of another line at a non-vertex" do a = "LINESTRING (40 40, 180 180)" |> Geo.WKT.decode!() b = "LINESTRING (120 120, 20 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-003 - L/L.1-3-3: start point of a line touching the interior of another line at a non-vertex (float)" do a = "LINESTRING(40.0 40.0,180.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(120.0 120.0,20.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-004 - L/L.1-3-4: touching at the end points of two lines" do a = "LINESTRING (40 40, 120 120)" |> Geo.WKT.decode!() b = "LINESTRING (60 240, 120 120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-004 - L/L.1-3-4: touching at the end points of two lines (float)" do a = "LINESTRING(40.0 40.0,120.0 120.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 240.0,120.0 120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-005 - L/L.1-3-5: end point of a line touching the interior of another line at a non-vertex" do a = "LINESTRING (40 40, 180 180)" |> Geo.WKT.decode!() b = "LINESTRING (20 180, 140 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-005 - L/L.1-3-5: end point of a line touching the interior of another line at a non-vertex (float)" do a = "LINESTRING(40.0 40.0,180.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 180.0,140.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-006 - L/L.1-4-1: two lines crossing at non-vertex" do a = "LINESTRING (40 40, 120 120)" |> Geo.WKT.decode!() b = "LINESTRING (40 120, 120 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-006 - L/L.1-4-1: two lines crossing at non-vertex (float)" do a = "LINESTRING(40.0 40.0,120.0 120.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 120.0,120.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-007 - L/L.1-1-1: equal pointwise" do a = "LINESTRING (40 40, 100 100)" |> Geo.WKT.decode!() b = "LINESTRING (40 40, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-007 - L/L.1-1-1: equal pointwise (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 40.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-008 - L/L.1-1-2: equal lines but points in reverse sequence" do a = "LINESTRING (40 40, 100 100)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 40 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-008 - L/L.1-1-2: equal lines but points in reverse sequence (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,40.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-009 - L/L.1-2-1: dim(1){A.L.Int.SP-EP = B.L.Ext}" do a = "LINESTRING (40 40, 120 120)" |> Geo.WKT.decode!() b = "LINESTRING (40 120, 120 160)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-009 - L/L.1-2-1: dim(1){A.L.Int.SP-EP = B.L.Ext} (float)" do a = "LINESTRING(40.0 40.0,120.0 120.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 120.0,120.0 160.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-010 - L/L.1-5-1: line A containing line B" do a = "LINESTRING (20 20, 180 180)" |> Geo.WKT.decode!() b = "LINESTRING (20 20, 180 180)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-010 - L/L.1-5-1: line A containing line B (float)" do a = "LINESTRING(20.0 20.0,180.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 20.0,180.0 180.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-011 - L/L.1-5-2: line B is part of line A" do a = "LINESTRING (20 20, 180 180)" |> Geo.WKT.decode!() b = "LINESTRING (20 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-011 - L/L.1-5-2: line B is part of line A (float)" do a = "LINESTRING(20.0 20.0,180.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-012 - L/L.1-5-3: Line B is part of line A (in the middle portion)" do a = "LINESTRING (20 20, 180 180)" |> Geo.WKT.decode!() b = "LINESTRING (50 50, 140 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-012 - L/L.1-5-3: Line B is part of line A (in the middle portion) (float)" do a = "LINESTRING(20.0 20.0,180.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(50.0 50.0,140.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-013 - L/L.1-6-1: start portions of two lines overlapping" do a = "LINESTRING (180 180, 40 40)" |> Geo.WKT.decode!() b = "LINESTRING (120 120, 260 260)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-013 - L/L.1-6-1: start portions of two lines overlapping (float)" do a = "LINESTRING(180.0 180.0,40.0 40.0)" |> Geo.WKT.decode!() b = "LINESTRING(120.0 120.0,260.0 260.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-014 - L/L.1-6-2: end portions of two lines overlapping" do a = "LINESTRING (40 40, 180 180)" |> Geo.WKT.decode!() b = "LINESTRING (260 260, 120 120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-014 - L/L.1-6-2: end portions of two lines overlapping (float)" do a = "LINESTRING(40.0 40.0,180.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(260.0 260.0,120.0 120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-015 - L/L.1-6-3: end portion of line A overlapping the start portion of line B" do a = "LINESTRING (40 40, 180 180)" |> Geo.WKT.decode!() b = "LINESTRING (120 120, 260 260)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-015 - L/L.1-6-3: end portion of line A overlapping the start portion of line B (float)" do a = "LINESTRING(40.0 40.0,180.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(120.0 120.0,260.0 260.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-016 - L/L.2-3-1: two LineStrings touching at start points" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (40 40, 20 100, 40 160, 20 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-016 - L/L.2-3-1: two LineStrings touching at start points (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 40.0,20.0 100.0,40.0 160.0,20.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-017 - L/L.2-3-2: start point of LineStrings A touching the end point of LineString B" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 40 160, 20 100, 40 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-017 - L/L.2-3-2: start point of LineStrings A touching the end point of LineString B (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,40.0 160.0,20.0 100.0,40.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-018 - L/L.2-3-3: two LineStrings touching at end points" do a = "LINESTRING (80 240, 200 120, 100 100, 40 40)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 40 160, 20 100, 40 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-018 - L/L.2-3-3: two LineStrings touching at end points (float)" do a = "LINESTRING(80.0 240.0,200.0 120.0,100.0 100.0,40.0 40.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,40.0 160.0,20.0 100.0,40.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-019 - L/L.2-3-4: both the start and end points of LineString A touching the interior of LineString B at two vertices" do a = "LINESTRING (60 60, 60 230, 140 230, 250 160)" |> Geo.WKT.decode!() b = "LINESTRING (20 20, 60 60, 250 160, 310 230)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-019 - L/L.2-3-4: both the start and end points of LineString A touching the interior of LineString B at two vertices (float)" do a = "LINESTRING(60.0 60.0,60.0 230.0,140.0 230.0,250.0 160.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 20.0,60.0 60.0,250.0 160.0,310.0 230.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-020 - L/L.2-3-5: both the start and end points of LineString A touching the interior of LineString B at two non-vertices" do a = "LINESTRING (60 60, 60 230, 140 230, 250 160)" |> Geo.WKT.decode!() b = "LINESTRING (20 20, 110 110, 200 110, 320 230)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-020 - L/L.2-3-5: both the start and end points of LineString A touching the interior of LineString B at two non-vertices (float)" do a = "LINESTRING(60.0 60.0,60.0 230.0,140.0 230.0,250.0 160.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 20.0,110.0 110.0,200.0 110.0,320.0 230.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-021 - L/L.2-3-6: the start and end points of two LineStrings touching each other" do a = "LINESTRING (60 110, 60 250, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-021 - L/L.2-3-6: the start and end points of two LineStrings touching each other (float)" do a = "LINESTRING(60.0 110.0,60.0 250.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-022 - L/L.2-3-7: the start and end points of two LineStrings touching each other" do a = "LINESTRING (60 110, 60 250, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (360 210, 310 160, 110 160, 60 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-022 - L/L.2-3-7: the start and end points of two LineStrings touching each other (float)" do a = "LINESTRING(60.0 110.0,60.0 250.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(360.0 210.0,310.0 160.0,110.0 160.0,60.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-023 - L/L.2-3-8: start point of LineString B touching LineString A at a non-vertex" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (160 160, 240 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-023 - L/L.2-3-8: start point of LineString B touching LineString A at a non-vertex (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(160.0 160.0,240.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-024 - L/L.2-3-9: end point of LineString B touching LineString A at a non-vertex" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (240 240, 160 160)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-024 - L/L.2-3-9: end point of LineString B touching LineString A at a non-vertex (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(240.0 240.0,160.0 160.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-025 - L/L.2-3-10: both the start and end points of LineString B touching the interior of LineString A at two non-vertices" do a = "LINESTRING (60 60, 60 230, 140 230, 250 160)" |> Geo.WKT.decode!() b = "LINESTRING (60 150, 110 100, 170 100, 110 230)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-025 - L/L.2-3-10: both the start and end points of LineString B touching the interior of LineString A at two non-vertices (float)" do a = "LINESTRING(60.0 60.0,60.0 230.0,140.0 230.0,250.0 160.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 150.0,110.0 100.0,170.0 100.0,110.0 230.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-026 - L/L.2-3-11: the start point of LineString B touching the interior of LineString A at a non-vertex and the end point of LineString A touching the interior of LineString B at a vertex" do a = "LINESTRING (60 60, 60 230, 140 230, 250 160)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-026 - L/L.2-3-11: the start point of LineString B touching the interior of LineString A at a non-vertex and the end point of LineString A touching the interior of LineString B at a vertex (float)" do a = "LINESTRING(60.0 60.0,60.0 230.0,140.0 230.0,250.0 160.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-027 - L/L.2-3-12: start point of LineString B touching LineString A at a vertex" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (200 120, 200 190, 150 240, 200 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-027 - L/L.2-3-12: start point of LineString B touching LineString A at a vertex (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 120.0,200.0 190.0,150.0 240.0,200.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-028 - L/L.2-3-13: end point of LineString B touching LineString A at a vertex" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (200 240, 150 240, 200 200, 200 120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-028 - L/L.2-3-13: end point of LineString B touching LineString A at a vertex (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 240.0,150.0 240.0,200.0 200.0,200.0 120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-029 - L/L.2-3-14: both the start and end points of LineString B touching the interior of LineString A at two vertices" do a = "LINESTRING (60 60, 60 230, 140 230, 250 160)" |> Geo.WKT.decode!() b = "LINESTRING (60 230, 80 140, 120 140, 140 230)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-029 - L/L.2-3-14: both the start and end points of LineString B touching the interior of LineString A at two vertices (float)" do a = "LINESTRING(60.0 60.0,60.0 230.0,140.0 230.0,250.0 160.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 230.0,80.0 140.0,120.0 140.0,140.0 230.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-030 - L/L.2-4-1: two LineStrings crossing at two points" do a = "LINESTRING (60 110, 200 110, 250 160, 300 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-030 - L/L.2-4-1: two LineStrings crossing at two points (float)" do a = "LINESTRING(60.0 110.0,200.0 110.0,250.0 160.0,300.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-031 - L/L.2-4-2: two LineStrings crossing at two points" do a = "LINESTRING (60 110, 200 110, 250 160, 300 210, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-031 - L/L.2-4-2: two LineStrings crossing at two points (float)" do a = "LINESTRING(60.0 110.0,200.0 110.0,250.0 160.0,300.0 210.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-032 - L/L.2-4-3: two LineStrings crossing on one side" do a = "LINESTRING (60 110, 220 110, 250 160, 280 110)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-032 - L/L.2-4-3: two LineStrings crossing on one side (float)" do a = "LINESTRING(60.0 110.0,220.0 110.0,250.0 160.0,280.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-033 - L/L.2-4-4: two LineStrings crossing on one side" do a = "LINESTRING (60 110, 150 110, 200 160, 250 110, 360 110, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-033 - L/L.2-4-4: two LineStrings crossing on one side (float)" do a = "LINESTRING(60.0 110.0,150.0 110.0,200.0 160.0,250.0 110.0,360.0 110.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-034 - L/L.2-4-5: two LineStrings crossing at two points" do a = "LINESTRING (130 160, 160 110, 220 110, 250 160, 250 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-034 - L/L.2-4-5: two LineStrings crossing at two points (float)" do a = "LINESTRING(130.0 160.0,160.0 110.0,220.0 110.0,250.0 160.0,250.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-035 - L/L.2-4-6: two LineStrings crossing at two points" do a = "LINESTRING (130 160, 160 110, 190 110, 230 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-035 - L/L.2-4-6: two LineStrings crossing at two points (float)" do a = "LINESTRING(130.0 160.0,160.0 110.0,190.0 110.0,230.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-036 - L/L.2-4-7: two LineStrings crossing at two points" do a = "LINESTRING (130 160, 160 110, 200 110, 230 160, 260 210, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-036 - L/L.2-4-7: two LineStrings crossing at two points (float)" do a = "LINESTRING(130.0 160.0,160.0 110.0,200.0 110.0,230.0 160.0,260.0 210.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-037 - L/L.2-4-8: two LineStrings crossing at two points" do a = "LINESTRING (130 160, 160 110, 200 110, 230 160, 260 210, 360 210, 380 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-037 - L/L.2-4-8: two LineStrings crossing at two points (float)" do a = "LINESTRING(130.0 160.0,160.0 110.0,200.0 110.0,230.0 160.0,260.0 210.0,360.0 210.0,380.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-038 - L/L.2-4-9: two LineStrings crossing at three points" do a = "LINESTRING (130 160, 160 110, 200 110, 230 160, 260 210, 380 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-038 - L/L.2-4-9: two LineStrings crossing at three points (float)" do a = "LINESTRING(130.0 160.0,160.0 110.0,200.0 110.0,230.0 160.0,260.0 210.0,380.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-039 - L/L.2-4-10: two LineStrings crossing at two points" do a = "LINESTRING (110 160, 160 110, 200 110, 250 160, 250 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-039 - L/L.2-4-10: two LineStrings crossing at two points (float)" do a = "LINESTRING(110.0 160.0,160.0 110.0,200.0 110.0,250.0 160.0,250.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-040 - L/L.2-4-11: two LineStrings crossing on one side" do a = "LINESTRING (110 160, 180 110, 250 160, 320 110)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-040 - L/L.2-4-11: two LineStrings crossing on one side (float)" do a = "LINESTRING(110.0 160.0,180.0 110.0,250.0 160.0,320.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-041 - L/L.2-4-12: two LineStrings crossing on one side" do a = "LINESTRING (140 160, 180 80, 220 160, 250 80)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-041 - L/L.2-4-12: two LineStrings crossing on one side (float)" do a = "LINESTRING(140.0 160.0,180.0 80.0,220.0 160.0,250.0 80.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-042 - L/L.2-4-13: two LineStrings crossing at a vertex for one of the LineStrings" do a = "LINESTRING (40 40, 100 100, 200 120, 130 190)" |> Geo.WKT.decode!() b = "LINESTRING (20 130, 70 130, 160 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-042 - L/L.2-4-13: two LineStrings crossing at a vertex for one of the LineStrings (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,130.0 190.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 130.0,70.0 130.0,160.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-043 - L/L.2-4-14: two LineStrings crossing at non-vertices for both of the LineStrings" do a = "LINESTRING (40 40, 100 100, 200 120, 130 190)" |> Geo.WKT.decode!() b = "LINESTRING (40 160, 40 100, 110 40, 170 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-043 - L/L.2-4-14: two LineStrings crossing at non-vertices for both of the LineStrings (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,130.0 190.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 160.0,40.0 100.0,110.0 40.0,170.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-044 - L/L.2-4-15: two LineStrings crossing on one side" do a = "LINESTRING (130 110, 180 160, 230 110, 280 160, 330 110)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-044 - L/L.2-4-15: two LineStrings crossing on one side (float)" do a = "LINESTRING(130.0 110.0,180.0 160.0,230.0 110.0,280.0 160.0,330.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-045 - L/L.2-4-16: two LineStrings crossing at vertices for both LineString" do a = "LINESTRING (40 40, 100 100, 200 120, 130 190)" |> Geo.WKT.decode!() b = "LINESTRING (30 140, 80 140, 100 100, 200 30)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-045 - L/L.2-4-16: two LineStrings crossing at vertices for both LineString (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,130.0 190.0)" |> Geo.WKT.decode!() b = "LINESTRING(30.0 140.0,80.0 140.0,100.0 100.0,200.0 30.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-046 - L/L.2-4-17: two LineStrings crossing on one side" do a = "LINESTRING (110 110, 110 160, 180 110, 250 160, 250 110)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-046 - L/L.2-4-17: two LineStrings crossing on one side (float)" do a = "LINESTRING(110.0 110.0,110.0 160.0,180.0 110.0,250.0 160.0,250.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-047 - L/L.2-4-18: multiple crossings" do a = "LINESTRING (20 20, 80 80, 160 80, 240 80, 300 140)" |> Geo.WKT.decode!() b = "LINESTRING (20 60, 60 60, 60 140, 80 80, 100 20, 140 140, 180 20, 200 80, 220 20, 240 80, 300 80, 270 110, 200 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-047 - L/L.2-4-18: multiple crossings (float)" do a = "LINESTRING(20.0 20.0,80.0 80.0,160.0 80.0,240.0 80.0,300.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 60.0,60.0 60.0,60.0 140.0,80.0 80.0,100.0 20.0,140.0 140.0,180.0 20.0,200.0 80.0,220.0 20.0,240.0 80.0,300.0 80.0,270.0 110.0,200.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-048 - L/L.2-4-19: spiky LineStrings with multiple crossing" do a = "LINESTRING (20 20, 230 20, 20 30, 170 30, 20 40, 230 40, 20 50, 230 60, 60 60, 230 70, 20 70, 180 80, 60 80, 230 90, 20 90, 230 100, 30 100, 210 110, 20 110, 80 120, 20 130, 170 130, 90 120, 230 130, 170 140, 230 140, 80 150, 160 140, 20 140, 70 150, 20 150, 230 160, 80 160, 230 170, 20 160, 180 170, 20 170, 230 180, 20 180, 40 190, 230 190, 20 200, 230 200)" |> Geo.WKT.decode!() b = "LINESTRING (30 210, 30 60, 40 210, 40 30, 50 190, 50 20, 60 160, 60 50, 70 220, 70 50, 80 20, 80 210, 90 50, 90 150, 100 30, 100 210, 110 20, 110 190, 120 50, 120 180, 130 210, 120 20, 140 210, 130 50, 150 210, 130 20, 160 210, 140 30, 170 210, 150 20, 180 210, 160 20, 190 210, 180 80, 170 50, 170 20, 180 70, 180 20, 190 190, 190 30, 200 210, 200 30, 210 210, 210 20, 220 150, 220 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-048 - L/L.2-4-19: spiky LineStrings with multiple crossing (float)" do a = "LINESTRING(20.0 20.0,230.0 20.0,20.0 30.0,170.0 30.0,20.0 40.0,230.0 40.0,20.0 50.0,230.0 60.0,60.0 60.0,230.0 70.0,20.0 70.0,180.0 80.0,60.0 80.0,230.0 90.0,20.0 90.0,230.0 100.0,30.0 100.0,210.0 110.0,20.0 110.0,80.0 120.0,20.0 130.0,170.0 130.0,90.0 120.0,230.0 130.0,170.0 140.0,230.0 140.0,80.0 150.0,160.0 140.0,20.0 140.0,70.0 150.0,20.0 150.0,230.0 160.0,80.0 160.0,230.0 170.0,20.0 160.0,180.0 170.0,20.0 170.0,230.0 180.0,20.0 180.0,40.0 190.0,230.0 190.0,20.0 200.0,230.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(30.0 210.0,30.0 60.0,40.0 210.0,40.0 30.0,50.0 190.0,50.0 20.0,60.0 160.0,60.0 50.0,70.0 220.0,70.0 50.0,80.0 20.0,80.0 210.0,90.0 50.0,90.0 150.0,100.0 30.0,100.0 210.0,110.0 20.0,110.0 190.0,120.0 50.0,120.0 180.0,130.0 210.0,120.0 20.0,140.0 210.0,130.0 50.0,150.0 210.0,130.0 20.0,160.0 210.0,140.0 30.0,170.0 210.0,150.0 20.0,180.0 210.0,160.0 20.0,190.0 210.0,180.0 80.0,170.0 50.0,170.0 20.0,180.0 70.0,180.0 20.0,190.0 190.0,190.0 30.0,200.0 210.0,200.0 30.0,210.0 210.0,210.0 20.0,220.0 150.0,220.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-049 - L/L.2-1-1: two equal LineStrings with equal pointwise" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-049 - L/L.2-1-1: two equal LineStrings with equal pointwise (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-050 - L/L.2-1-2: two equal LineStrings with points in reverse sequence" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (80 240, 200 120, 100 100, 40 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-050 - L/L.2-1-2: two equal LineStrings with points in reverse sequence (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 240.0,200.0 120.0,100.0 100.0,40.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-051 - L/L.2-1-3: two equal LineStrings with different number of points" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (80 240, 120 200, 200 120, 100 100, 80 80, 40 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-051 - L/L.2-1-3: two equal LineStrings with different number of points (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 240.0,120.0 200.0,200.0 120.0,100.0 100.0,80.0 80.0,40.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-052 - L/L.2-2-1: disjoint" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (260 210, 240 130, 280 120, 260 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-052 - L/L.2-2-1: disjoint (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(260.0 210.0,240.0 130.0,280.0 120.0,260.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-053 - L/L.2-2-2: wrapping around but still disjoint" do a = "LINESTRING (100 20, 20 20, 20 160, 210 160, 210 20, 110 20, 50 120, 120 150, 200 150)" |> Geo.WKT.decode!() b = "LINESTRING (140 130, 100 110, 120 60, 170 60)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-053 - L/L.2-2-2: wrapping around but still disjoint (float)" do a = "LINESTRING(100.0 20.0,20.0 20.0,20.0 160.0,210.0 160.0,210.0 20.0,110.0 20.0,50.0 120.0,120.0 150.0,200.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 130.0,100.0 110.0,120.0 60.0,170.0 60.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-054 - L/L.2-5-1: LineString A containing LineString B, same pointwise" do a = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-054 - L/L.2-5-1: LineString A containing LineString B, same pointwise (float)" do a = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-055 - L/L.2-5-2: LineString A containing LineString B, LineString A with less points" do a = "LINESTRING (60 110, 110 160, 310 160, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-055 - L/L.2-5-2: LineString A containing LineString B, LineString A with less points (float)" do a = "LINESTRING(60.0 110.0,110.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-056 - L/L.2-5-3: LineString A containing LineString B" do a = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (60 110, 110 160, 250 160)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-056 - L/L.2-5-3: LineString A containing LineString B (float)" do a = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-057 - L/L.2-5-4: LineString A containing LineString B" do a = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (110 160, 310 160, 340 190)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-057 - L/L.2-5-4: LineString A containing LineString B (float)" do a = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 160.0,310.0 160.0,340.0 190.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-058 - L/L.2-5-5: LineString A containing LineString B" do a = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (140 160, 250 160, 310 160, 340 190)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-058 - L/L.2-5-5: LineString A containing LineString B (float)" do a = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 160.0,250.0 160.0,310.0 160.0,340.0 190.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-059 - L/L.2-5-6: LineString A containing LineString B" do a = "LINESTRING (60 110, 110 160, 250 160, 310 160, 360 210)" |> Geo.WKT.decode!() b = "LINESTRING (110 160, 250 160, 310 160)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-059 - L/L.2-5-6: LineString A containing LineString B (float)" do a = "LINESTRING(60.0 110.0,110.0 160.0,250.0 160.0,310.0 160.0,360.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 160.0,250.0 160.0,310.0 160.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-060 - L/L.2-6-1: start portions of two LineStrings overlapping" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (200 120, 100 100, 40 40, 140 80, 200 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-060 - L/L.2-6-1: start portions of two LineStrings overlapping (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 120.0,100.0 100.0,40.0 40.0,140.0 80.0,200.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-061 - L/L.2-6-2: start portion of LineString A overlapping end portion of LineString B, intersecting at the middle of LineString A" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (280 240, 240 140, 200 120, 100 100, 40 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-061 - L/L.2-6-2: start portion of LineString A overlapping end portion of LineString B, intersecting at the middle of LineString A (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(280.0 240.0,240.0 140.0,200.0 120.0,100.0 100.0,40.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-062 - L/L.2-6-3: start portion of LineString A overlapping end portion of LineString B, intersecting at the middle of LineString A" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (80 190, 140 140, 40 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-062 - L/L.2-6-3: start portion of LineString A overlapping end portion of LineString B, intersecting at the middle of LineString A (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 190.0,140.0 140.0,40.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-063 - L/L.2-6-4: end portions of two LineStrings overlapping" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (240 200, 200 260, 80 240, 140 180)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-063 - L/L.2-6-4: end portions of two LineStrings overlapping (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(240.0 200.0,200.0 260.0,80.0 240.0,140.0 180.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-064 - L/L.2-6-5: end portion of LineString A overlapping start portion of LineString B" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (140 180, 80 240, 200 260, 240 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-064 - L/L.2-6-5: end portion of LineString A overlapping start portion of LineString B (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 180.0,80.0 240.0,200.0 260.0,240.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-065 - L/L.2-6-6: end portion of LineString A overlapping end portion of LineString B, intersecting at the middle of LineString A" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (280 240, 240 140, 200 120, 80 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-065 - L/L.2-6-6: end portion of LineString A overlapping end portion of LineString B, intersecting at the middle of LineString A (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(280.0 240.0,240.0 140.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-066 - L/L.2-6-7: middle portions of two LineStrings overlapping" do a = "LINESTRING (20 20, 80 80, 160 80, 240 80, 300 140)" |> Geo.WKT.decode!() b = "LINESTRING (20 80, 120 80, 200 80, 260 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-066 - L/L.2-6-7: middle portions of two LineStrings overlapping (float)" do a = "LINESTRING(20.0 20.0,80.0 80.0,160.0 80.0,240.0 80.0,300.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 80.0,120.0 80.0,200.0 80.0,260.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-067 - L/L.2-6-8: middle portion of LineString A overlapping start portion of LineString B" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 200 120, 240 140, 280 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-067 - L/L.2-6-8: middle portion of LineString A overlapping start portion of LineString B (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,200.0 120.0,240.0 140.0,280.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-068 - L/L.2-6-9: middle portion of LineString A overlapping end portion of LineString B" do a = "LINESTRING (40 40, 100 100, 200 120, 80 240)" |> Geo.WKT.decode!() b = "LINESTRING (280 240, 240 140, 200 120, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-068 - L/L.2-6-9: middle portion of LineString A overlapping end portion of LineString B (float)" do a = "LINESTRING(40.0 40.0,100.0 100.0,200.0 120.0,80.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(280.0 240.0,240.0 140.0,200.0 120.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-069 - L/L.2-6-10: middle portions of two LineStrings overlapping" do a = "LINESTRING (20 20, 80 80, 160 80, 240 80, 300 140)" |> Geo.WKT.decode!() b = "LINESTRING (80 20, 80 80, 240 80, 300 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-069 - L/L.2-6-10: middle portions of two LineStrings overlapping (float)" do a = "LINESTRING(20.0 20.0,80.0 80.0,160.0 80.0,240.0 80.0,300.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 20.0,80.0 80.0,240.0 80.0,300.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-070 - L/L.2-6-11: middle portions of two LineStrings overlapping, multiple intersects" do a = "LINESTRING (20 20, 80 80, 160 80, 240 80, 300 140)" |> Geo.WKT.decode!() b = "LINESTRING (20 80, 80 80, 120 80, 140 140, 160 80, 200 80, 220 20, 240 80, 270 110, 300 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-070 - L/L.2-6-11: middle portions of two LineStrings overlapping, multiple intersects (float)" do a = "LINESTRING(20.0 20.0,80.0 80.0,160.0 80.0,240.0 80.0,300.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 80.0,80.0 80.0,120.0 80.0,140.0 140.0,160.0 80.0,200.0 80.0,220.0 20.0,240.0 80.0,270.0 110.0,300.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-071 - L/LR-3-1: a LineString touching a LinearRing" do a = "LINESTRING (100 100, 20 180, 180 180)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-071 - L/LR-3-1: a LineString touching a LinearRing (float)" do a = "LINESTRING(100.0 100.0,20.0 180.0,180.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-072 - L/LR-4-1: a LineString crossing a LinearRing" do a = "LINESTRING (20 100, 180 100, 100 180)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-072 - L/LR-4-1: a LineString crossing a LinearRing (float)" do a = "LINESTRING(20.0 100.0,180.0 100.0,100.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-073 - L/LR-4-2: a LineString crossing a LinearRing" do a = "LINESTRING (100 40, 100 160, 180 160)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-073 - L/LR-4-2: a LineString crossing a LinearRing (float)" do a = "LINESTRING(100.0 40.0,100.0 160.0,180.0 160.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-074 - L/LR-4-3: a LineString crossing a LinearRing" do a = "LINESTRING (20 100, 100 100, 180 100, 100 180)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-074 - L/LR-4-3: a LineString crossing a LinearRing (float)" do a = "LINESTRING(20.0 100.0,100.0 100.0,180.0 100.0,100.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-075 - L/LR-5-1: a LineString within a LinearRing" do a = "LINESTRING (100 100, 160 40)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-075 - L/LR-5-1: a LineString within a LinearRing (float)" do a = "LINESTRING(100.0 100.0,160.0 40.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-076 - L/LR-5-2: a LineString within a LinearRing" do a = "LINESTRING (100 100, 180 20)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-076 - L/LR-5-2: a LineString within a LinearRing (float)" do a = "LINESTRING(100.0 100.0,180.0 20.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-077 - L/LR-5-3: a LineString within a LinearRing" do a = "LINESTRING (60 60, 100 100, 140 60)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-077 - L/LR-5-3: a LineString within a LinearRing (float)" do a = "LINESTRING(60.0 60.0,100.0 100.0,140.0 60.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-078 - L/LR-6-1: a LineString crossing a LinearRing" do a = "LINESTRING (100 100, 190 10, 190 100)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-078 - L/LR-6-1: a LineString crossing a LinearRing (float)" do a = "LINESTRING(100.0 100.0,190.0 10.0,190.0 100.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-079 - L/LR-6-2: a LineString crossing a LinearRing" do a = "LINESTRING (100 100, 160 40, 160 100)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-079 - L/LR-6-2: a LineString crossing a LinearRing (float)" do a = "LINESTRING(100.0 100.0,160.0 40.0,160.0 100.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-080 - L/LR-6-3: a LineString crossing a LinearRing" do a = "LINESTRING (60 140, 160 40, 160 140)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-080 - L/LR-6-3: a LineString crossing a LinearRing (float)" do a = "LINESTRING(60.0 140.0,160.0 40.0,160.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-081 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's end point with both crossing and overlapping line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (80 80, 20 80, 140 80, 80 20, 80 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-081 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's end point with both crossing and overlapping line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 80.0,20.0 80.0,140.0 80.0,80.0 20.0,80.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-082 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's end point with overlapping line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (80 80, 20 80, 140 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-082 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's end point with overlapping line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 80.0,20.0 80.0,140.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-083 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's end point with crossing line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (80 80, 140 80, 80 20, 80 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-083 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's end point with crossing line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 80.0,140.0 80.0,80.0 20.0,80.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-084 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's closing point with both crossing and overlapping line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (80 80, 20 80, 140 80, 80 20, 80 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-084 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's closing point with both crossing and overlapping line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 80.0,20.0 80.0,140.0 80.0,80.0 20.0,80.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-085 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's closing point with overlapping line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (80 80, 20 80, 140 80, 80 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-085 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's closing point with overlapping line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 80.0,20.0 80.0,140.0 80.0,80.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-086 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's closing point with crossing line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (80 80, 20 80, 20 140, 140 20, 80 20, 80 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-086 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's closing point with crossing line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 80.0,20.0 80.0,20.0 140.0,140.0 20.0,80.0 20.0,80.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-087 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a non-vertex" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (20 140, 140 20, 100 20, 100 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-087 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a non-vertex (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 140.0,140.0 20.0,100.0 20.0,100.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-088 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a non-vertex with both crossing and overlapping line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (140 80, 20 80, 120 80, 80 20, 80 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-088 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a non-vertex with both crossing and overlapping line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 80.0,20.0 80.0,120.0 80.0,80.0 20.0,80.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-089 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a non-vertex with overlapping line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (140 80, 20 80, 140 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-089 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a non-vertex with overlapping line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 80.0,20.0 80.0,140.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-090 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a non-vertex with crossing line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (140 80, 20 80, 80 140, 80 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-090 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a non-vertex with crossing line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 80.0,20.0 80.0,80.0 140.0,80.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-091 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a vertex" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (140 80, 80 80, 20 80, 50 140, 50 60)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-091 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a vertex (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 80.0,80.0 80.0,20.0 80.0,50.0 140.0,50.0 60.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-092 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a vertex with both crossing and overlapping line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (140 80, 20 80, 120 80, 80 20, 80 80, 80 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-092 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a vertex with both crossing and overlapping line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 80.0,20.0 80.0,120.0 80.0,80.0 20.0,80.0 80.0,80.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-093 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a vertex with overlapping line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (140 80, 20 80, 80 80, 140 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-093 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a vertex with overlapping line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 80.0,20.0 80.0,80.0 80.0,140.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-094 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a vertex with crossing line segments" do a = "LINESTRING (20 20, 140 140)" |> Geo.WKT.decode!() b = "LINESTRING (140 80, 20 80, 80 140, 80 80, 80 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-094 - L/nsL: A line's interior at a non-vertex intersecting a non-simple linestring's interior at a vertex with crossing line segments (float)" do a = "LINESTRING(20.0 20.0,140.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(140.0 80.0,20.0 80.0,80.0 140.0,80.0 80.0,80.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-095 - L/nsL.1-3-1: start point of a LineString touching the self-intersecting point of a non-simple LineString" do a = "LINESTRING (130 150, 220 150, 220 240)" |> Geo.WKT.decode!() b = "LINESTRING (130 240, 130 150, 220 20, 50 20, 130 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-095 - L/nsL.1-3-1: start point of a LineString touching the self-intersecting point of a non-simple LineString (float)" do a = "LINESTRING(130.0 150.0,220.0 150.0,220.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(130.0 240.0,130.0 150.0,220.0 20.0,50.0 20.0,130.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-096 - L/nsL.1-3-2: the interior of a LineString touching the self-intersecting point of a non-simple LineString" do a = "LINESTRING (30 150, 130 150, 250 150)" |> Geo.WKT.decode!() b = "LINESTRING (130 240, 130 150, 220 20, 50 20, 130 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-096 - L/nsL.1-3-2: the interior of a LineString touching the self-intersecting point of a non-simple LineString (float)" do a = "LINESTRING(30.0 150.0,130.0 150.0,250.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(130.0 240.0,130.0 150.0,220.0 20.0,50.0 20.0,130.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-097 - L/nsL.1-3-3: the interior of a LineString touching the self-intersecting point of a non-simple LineString" do a = "LINESTRING (30 150, 250 150)" |> Geo.WKT.decode!() b = "LINESTRING (130 240, 130 150, 220 20, 50 20, 130 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-097 - L/nsL.1-3-3: the interior of a LineString touching the self-intersecting point of a non-simple LineString (float)" do a = "LINESTRING(30.0 150.0,250.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(130.0 240.0,130.0 150.0,220.0 20.0,50.0 20.0,130.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-098 - L/nsL.1-3-4: the interior of a LineString touching the self-intersecting point of a non-simple LineString" do a = "LINESTRING (30 150, 130 150, 250 150)" |> Geo.WKT.decode!() b = "LINESTRING (130 240, 130 20, 30 20, 130 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-098 - L/nsL.1-3-4: the interior of a LineString touching the self-intersecting point of a non-simple LineString (float)" do a = "LINESTRING(30.0 150.0,130.0 150.0,250.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(130.0 240.0,130.0 20.0,30.0 20.0,130.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-099 - L/nsL.1-4: a Line crossing a non-simple LineString at non-vertices" do a = "LINESTRING (30 150, 250 150)" |> Geo.WKT.decode!() b = "LINESTRING (120 240, 120 20, 20 20, 120 170)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-099 - L/nsL.1-4: a Line crossing a non-simple LineString at non-vertices (float)" do a = "LINESTRING(30.0 150.0,250.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(120.0 240.0,120.0 20.0,20.0 20.0,120.0 170.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-100 - nsL.5/L-3-1: switching the geometries for case L/nsL.5-3-1" do a = "LINESTRING (200 200, 20 20, 200 20, 110 110, 20 200, 110 200, 110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-100 - nsL.5/L-3-1: switching the geometries for case L/nsL.5-3-1 (float)" do a = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-101 - L/nsL.5-3-2: the start point of a line touching the self-intersecting and self-crossing point of a non-simple LineString" do a = "LINESTRING (110 110, 200 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 110 110, 20 200, 110 200, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-101 - L/nsL.5-3-2: the start point of a line touching the self-intersecting and self-crossing point of a non-simple LineString (float)" do a = "LINESTRING(110.0 110.0,200.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-102 - L/nsL.5-3-3: the interior of a line touching the self-intersecting and self-crossing point of a non-simple LineString" do a = "LINESTRING (20 110, 200 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 110 110, 20 200, 110 200, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-102 - L/nsL.5-3-3: the interior of a line touching the self-intersecting and self-crossing point of a non-simple LineString (float)" do a = "LINESTRING(20.0 110.0,200.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-103 - nsL.5/L-3-4 touches dim(0){A.nsL.Bdy.EPx = B.L.Int.NV}" do a = "LINESTRING (200 200, 20 20, 200 20, 110 110, 20 200, 110 200, 110 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 110, 200 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-103 - nsL.5/L-3-4 touches dim(0){A.nsL.Bdy.EPx = B.L.Int.NV} (float)" do a = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 110.0,200.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-104 - L/nsL.10-6-1: the middle portion of a line overlapping from the self-intersecting to the self-crossing a non-simple LineString" do a = "LINESTRING (90 200, 90 130, 110 110, 150 200)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 20 200, 20 130, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-104 - L/nsL.10-6-1: the middle portion of a line overlapping from the self-intersecting to the self-crossing a non-simple LineString (float)" do a = "LINESTRING(90.0 200.0,90.0 130.0,110.0 110.0,150.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,20.0 200.0,20.0 130.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-105 - L/nsL.10-6-2: the middle portion of a line overlapping from the self-intersecting to the self-crossing a non-simple LineString" do a = "LINESTRING (200 110, 110 110, 90 130, 90 200)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 20 200, 20 130, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-105 - L/nsL.10-6-2: the middle portion of a line overlapping from the self-intersecting to the self-crossing a non-simple LineString (float)" do a = "LINESTRING(200.0 110.0,110.0 110.0,90.0 130.0,90.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,20.0 200.0,20.0 130.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-106 - L/mL-3-1: a line's end point touching a non-vertex with crossing line segments of a MultiLineString" do a = "LINESTRING (80 80, 150 80, 210 80)" |> Geo.WKT.decode!() b = "MULTILINESTRING ((20 20, 140 140),(20 140, 140 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-106 - L/mL-3-1: a line's end point touching a non-vertex with crossing line segments of a MultiLineString (float)" do a = "LINESTRING(80.0 80.0,150.0 80.0,210.0 80.0)" |> Geo.WKT.decode!() b = "MULTILINESTRING((20.0 20.0,140.0 140.0),(20.0 140.0,140.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-107 - LR/LR-1-1: two equal LinearRings, pointwise" do a = "LINESTRING (40 80, 160 200, 260 20, 40 80)" |> Geo.WKT.decode!() b = "LINESTRING (40 80, 160 200, 260 20, 40 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-107 - LR/LR-1-1: two equal LinearRings, pointwise (float)" do a = "LINESTRING(40.0 80.0,160.0 200.0,260.0 20.0,40.0 80.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 80.0,160.0 200.0,260.0 20.0,40.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-108 - LR/LR-1-2: two equal LinearRings with points in reverse sequence" do a = "LINESTRING (40 80, 160 200, 260 20, 40 80)" |> Geo.WKT.decode!() b = "LINESTRING (40 80, 260 20, 160 200, 40 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-108 - LR/LR-1-2: two equal LinearRings with points in reverse sequence (float)" do a = "LINESTRING(40.0 80.0,160.0 200.0,260.0 20.0,40.0 80.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 80.0,260.0 20.0,160.0 200.0,40.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-109 - LR/LR-1-3: two equal LinearRings with points in different sequence" do a = "LINESTRING (40 80, 160 200, 260 20, 40 80)" |> Geo.WKT.decode!() b = "LINESTRING (260 20, 40 80, 160 200, 260 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-109 - LR/LR-1-3: two equal LinearRings with points in different sequence (float)" do a = "LINESTRING(40.0 80.0,160.0 200.0,260.0 20.0,40.0 80.0)" |> Geo.WKT.decode!() b = "LINESTRING(260.0 20.0,40.0 80.0,160.0 200.0,260.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-110 - LR/LR-1-4: two equal LinearRings with different number of points" do a = "LINESTRING (40 80, 160 200, 260 20, 40 80)" |> Geo.WKT.decode!() b = "LINESTRING (100 140, 160 200, 260 20, 40 80, 100 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-110 - LR/LR-1-4: two equal LinearRings with different number of points (float)" do a = "LINESTRING(40.0 80.0,160.0 200.0,260.0 20.0,40.0 80.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 140.0,160.0 200.0,260.0 20.0,40.0 80.0,100.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-111 - LR/LR-4-1: two LinearRings crossing at closing points" do a = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() b = "LINESTRING (100 100, 180 180, 20 180, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-111 - LR/LR-4-1: two LinearRings crossing at closing points (float)" do a = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 100.0,180.0 180.0,20.0 180.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-112 - LR/LR-4-2: two LinearRings crossing at two points" do a = "LINESTRING (40 150, 40 40, 150 40, 150 150, 40 150)" |> Geo.WKT.decode!() b = "LINESTRING (40 150, 150 40, 170 20, 170 190, 40 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-112 - LR/LR-4-2: two LinearRings crossing at two points (float)" do a = "LINESTRING(40.0 150.0,40.0 40.0,150.0 40.0,150.0 150.0,40.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 150.0,150.0 40.0,170.0 20.0,170.0 190.0,40.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-113 - LR/LR-4-3: two LinearRings crossing at the closing and a non-vertex" do a = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() b = "LINESTRING (180 100, 20 100, 100 180, 180 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-113 - LR/LR-4-3: two LinearRings crossing at the closing and a non-vertex (float)" do a = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() b = "LINESTRING(180.0 100.0,20.0 100.0,100.0 180.0,180.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-114 - LR/LR-4-4: two LinearRings crossing at the closing and a vertex" do a = "LINESTRING (100 100, 180 20, 20 20, 100 100)" |> Geo.WKT.decode!() b = "LINESTRING (180 180, 100 100, 20 180, 180 180)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-114 - LR/LR-4-4: two LinearRings crossing at the closing and a vertex (float)" do a = "LINESTRING(100.0 100.0,180.0 20.0,20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() b = "LINESTRING(180.0 180.0,100.0 100.0,20.0 180.0,180.0 180.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-115 - LR/LR-4-5: two LinearRings crossing at a vertex and a non-vertex" do a = "LINESTRING (20 180, 100 100, 20 20, 20 180)" |> Geo.WKT.decode!() b = "LINESTRING (100 20, 100 180, 180 100, 100 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-115 - LR/LR-4-5: two LinearRings crossing at a vertex and a non-vertex (float)" do a = "LINESTRING(20.0 180.0,100.0 100.0,20.0 20.0,20.0 180.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 20.0,100.0 180.0,180.0 100.0,100.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-116 - LR/LR-4-6: two LinearRings crossing at two points" do a = "LINESTRING (40 150, 40 40, 150 40, 150 150, 40 150)" |> Geo.WKT.decode!() b = "LINESTRING (170 20, 20 170, 170 170, 170 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-116 - LR/LR-4-6: two LinearRings crossing at two points (float)" do a = "LINESTRING(40.0 150.0,40.0 40.0,150.0 40.0,150.0 150.0,40.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(170.0 20.0,20.0 170.0,170.0 170.0,170.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-117 - LR/LR-6-1: two LinearRings overlapping" do a = "LINESTRING (40 150, 40 40, 150 40, 150 150, 40 150)" |> Geo.WKT.decode!() b = "LINESTRING (40 150, 150 150, 90 210, 40 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-117 - LR/LR-6-1: two LinearRings overlapping (float)" do a = "LINESTRING(40.0 150.0,40.0 40.0,150.0 40.0,150.0 150.0,40.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 150.0,150.0 150.0,90.0 210.0,40.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-118 - LR/LR-6-2: two LinearRings overlapping" do a = "LINESTRING (40 150, 40 40, 150 40, 150 150, 40 150)" |> Geo.WKT.decode!() b = "LINESTRING (20 150, 170 150, 90 230, 20 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-118 - LR/LR-6-2: two LinearRings overlapping (float)" do a = "LINESTRING(40.0 150.0,40.0 40.0,150.0 40.0,150.0 150.0,40.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 150.0,170.0 150.0,90.0 230.0,20.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-119 - LR/LR-6-3: two LinearRings overlapping" do a = "LINESTRING (40 150, 40 40, 150 40, 150 150, 40 150)" |> Geo.WKT.decode!() b = "LINESTRING (40 150, 150 150, 150 40, 20 40, 20 150, 40 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-119 - LR/LR-6-3: two LinearRings overlapping (float)" do a = "LINESTRING(40.0 150.0,40.0 40.0,150.0 40.0,150.0 150.0,40.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(40.0 150.0,150.0 150.0,150.0 40.0,20.0 40.0,20.0 150.0,40.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-120 - LR/nsL-3-1: a LinearRing touching a non-simple LineString" do a = "LINESTRING (110 110, 200 20, 20 20, 110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 200, 110 110, 20 200, 20 110, 200 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-120 - LR/nsL-3-1: a LinearRing touching a non-simple LineString (float)" do a = "LINESTRING(110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 200.0,110.0 110.0,20.0 200.0,20.0 110.0,200.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-121 - LR/nsL-3-1: a LinearRing touching a non-simple LineString" do a = "LINESTRING (110 110, 200 20, 20 20, 110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 20 110, 200 110, 50 110, 110 170)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-121 - LR/nsL-3-1: a LinearRing touching a non-simple LineString (float)" do a = "LINESTRING(110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,20.0 110.0,200.0 110.0,50.0 110.0,110.0 170.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-122 - LR/nsL-3-1: a LinearRing touching a non-simple LineString" do a = "LINESTRING (110 110, 200 20, 20 20, 110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 20 200, 110 200, 110 110, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-122 - LR/nsL-3-1: a LinearRing touching a non-simple LineString (float)" do a = "LINESTRING(110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-123 - LR/nsL-6-1: a LinearRing and a non-simple LineString overlapping" do a = "LINESTRING (110 110, 200 20, 20 20, 110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 20, 20 200, 200 200, 110 110, 110 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-123 - LR/nsL-6-1: a LinearRing and a non-simple LineString overlapping (float)" do a = "LINESTRING(110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 20.0,20.0 200.0,200.0 200.0,110.0 110.0,110.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-124 - LR/nsL-6-2: a LinearRing and a non-simple LineString overlapping" do a = "LINESTRING (110 110, 200 20, 20 20, 110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 20, 20 200, 200 200, 20 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-124 - LR/nsL-6-2: a LinearRing and a non-simple LineString overlapping (float)" do a = "LINESTRING(110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 20.0,20.0 200.0,200.0 200.0,20.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-125 - nsL/nsL-4-1: non-simple LineStrings crossing at closing points" do a = "LINESTRING (110 110, 20 110, 110 20, 20 20, 110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 200, 110 200, 200 110, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-125 - nsL/nsL-4-1: non-simple LineStrings crossing at closing points (float)" do a = "LINESTRING(110.0 110.0,20.0 110.0,110.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 200.0,110.0 200.0,200.0 110.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-126 - nsL/nsL-4-2: non-simple LineStrings crossing at two points without vertices" do a = "LINESTRING (20 120, 120 120, 20 20, 120 20, 20 120)" |> Geo.WKT.decode!() b = "LINESTRING (170 100, 70 100, 170 170, 70 170, 170 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-126 - nsL/nsL-4-2: non-simple LineStrings crossing at two points without vertices (float)" do a = "LINESTRING(20.0 120.0,120.0 120.0,20.0 20.0,120.0 20.0,20.0 120.0)" |> Geo.WKT.decode!() b = "LINESTRING(170.0 100.0,70.0 100.0,170.0 170.0,70.0 170.0,170.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-127 - nsL/nsL-4-3: non-simple LineStrings crossing at a point" do a = "LINESTRING (20 110, 110 110, 20 20, 110 20, 20 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 160, 70 110, 60 160, 20 130, 110 160)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-127 - nsL/nsL-4-3: non-simple LineStrings crossing at a point (float)" do a = "LINESTRING(20.0 110.0,110.0 110.0,20.0 20.0,110.0 20.0,20.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 160.0,70.0 110.0,60.0 160.0,20.0 130.0,110.0 160.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-128 - nsL/nsL-4-4: non-simple LineStrings crossing at self-crossing points" do a = "LINESTRING (20 200, 200 200, 20 20, 200 20, 20 200)" |> Geo.WKT.decode!() b = "LINESTRING (20 110, 200 110, 200 160, 20 60, 20 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-128 - nsL/nsL-4-4: non-simple LineStrings crossing at self-crossing points (float)" do a = "LINESTRING(20.0 200.0,200.0 200.0,20.0 20.0,200.0 20.0,20.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 110.0,200.0 110.0,200.0 160.0,20.0 60.0,20.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-129 - nsL/nsL-4-5: non-simple LineStrings crossing at vertices" do a = "LINESTRING (20 110, 110 110, 20 20, 110 20, 20 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 110 110, 200 110, 110 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-129 - nsL/nsL-4-5: non-simple LineStrings crossing at vertices (float)" do a = "LINESTRING(20.0 110.0,110.0 110.0,20.0 20.0,110.0 20.0,20.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,110.0 110.0,200.0 110.0,110.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-130 - nsL/nsL-4-6: non-simple LineStrings crossing at two points with vertices" do a = "LINESTRING (20 120, 120 120, 20 20, 120 20, 20 120)" |> Geo.WKT.decode!() b = "LINESTRING (220 120, 120 20, 220 20, 120 120, 220 120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-130 - nsL/nsL-4-6: non-simple LineStrings crossing at two points with vertices (float)" do a = "LINESTRING(20.0 120.0,120.0 120.0,20.0 20.0,120.0 20.0,20.0 120.0)" |> Geo.WKT.decode!() b = "LINESTRING(220.0 120.0,120.0 20.0,220.0 20.0,120.0 120.0,220.0 120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-131 - mL/mL-1: MultiLineString" do a = "MULTILINESTRING ((70 20, 20 90, 70 170),(70 170, 120 90, 70 20))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((70 20, 20 90, 70 170),(70 170, 120 90, 70 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-131 - mL/mL-1: MultiLineString (float)" do a = "MULTILINESTRING((70.0 20.0,20.0 90.0,70.0 170.0),(70.0 170.0,120.0 90.0,70.0 20.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((70.0 20.0,20.0 90.0,70.0 170.0),(70.0 170.0,120.0 90.0,70.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-132 - mL/mL-1-1: non-simple MultiLineString" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-132 - mL/mL-1-1: non-simple MultiLineString (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-133 - mL/mL-1-2: equal non-simple MultiLineString with different sequence of lines and points" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((90 140, 90 60, 90 20),(170 20, 130 20, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-133 - mL/mL-1-2: equal non-simple MultiLineString with different sequence of lines and points (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((90.0 140.0,90.0 60.0,90.0 20.0),(170.0 20.0,130.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "04-134 - mL/mL-3-1: non-simple MultiLineStrings touching at boundaries" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((90 20, 170 100, 170 140),(170 60, 90 20, 20 60),(130 100, 130 60, 90 20, 50 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-134 - mL/mL-3-1: non-simple MultiLineStrings touching at boundaries (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((90.0 20.0,170.0 100.0,170.0 140.0),(170.0 60.0,90.0 20.0,20.0 60.0),(130.0 100.0,130.0 60.0,90.0 20.0,50.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-135 - mL/mL-3-2: non-simple MultiLineStrings touching at boundaries" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((90 20, 170 100, 170 140),(130 140, 130 60, 90 20, 20 90, 90 20, 130 60, 170 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-135 - mL/mL-3-2: non-simple MultiLineStrings touching at boundaries (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((90.0 20.0,170.0 100.0,170.0 140.0),(130.0 140.0,130.0 60.0,90.0 20.0,20.0 90.0,90.0 20.0,130.0 60.0,170.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-136 - mL/mL-3-3: non-simple MultiLineStrings touching at boundaries" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((90 20, 170 100, 170 140),(170 60, 90 20, 20 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-136 - mL/mL-3-3: non-simple MultiLineStrings touching at boundaries (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((90.0 20.0,170.0 100.0,170.0 140.0),(170.0 60.0,90.0 20.0,20.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-137 - mL/mL-3-4: non-simple MultiLineStrings touching at boundaries" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((90 20, 170 100, 170 140),(170 60, 90 20, 20 60),(130 100, 90 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-137 - mL/mL-3-4: non-simple MultiLineStrings touching at boundaries (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((90.0 20.0,170.0 100.0,170.0 140.0),(170.0 60.0,90.0 20.0,20.0 60.0),(130.0 100.0,90.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-138 - mL/mL-3-5: non-simple MultiLineStrings touching at boundaries" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((90 20, 170 100, 170 140),(170 60, 90 20, 20 60),(120 100, 170 100, 90 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-138 - mL/mL-3-5: non-simple MultiLineStrings touching at boundaries (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((90.0 20.0,170.0 100.0,170.0 140.0),(170.0 60.0,90.0 20.0,20.0 60.0),(120.0 100.0,170.0 100.0,90.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-139 - mL/mL-3-6: non-simple MultiLineStrings touching at boundaries" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((90 20, 170 100, 170 140),(170 60, 90 20, 20 60),(120 100, 170 100, 90 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-139 - mL/mL-3-6: non-simple MultiLineStrings touching at boundaries (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((90.0 20.0,170.0 100.0,170.0 140.0),(170.0 60.0,90.0 20.0,20.0 60.0),(120.0 100.0,170.0 100.0,90.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-140 - mL/mL-3-7: non-simple MultiLineStrings touching at boundaries" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((90 20, 170 100, 170 140),(130 140, 130 60, 90 20, 20 90, 90 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-140 - mL/mL-3-7: non-simple MultiLineStrings touching at boundaries (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((90.0 20.0,170.0 100.0,170.0 140.0),(130.0 140.0,130.0 60.0,90.0 20.0,20.0 90.0,90.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-141 - mL/mL-3-8: non-simple MultiLineStrings touching at boundaries" do a = "MULTILINESTRING ((20 20, 90 20, 170 20),(90 20, 90 80, 90 140))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((90 20, 170 100, 170 140),(170 60, 90 20, 20 60, 20 140, 90 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-141 - mL/mL-3-8: non-simple MultiLineStrings touching at boundaries (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 20.0,170.0 20.0),(90.0 20.0,90.0 80.0,90.0 140.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((90.0 20.0,170.0 100.0,170.0 140.0),(170.0 60.0,90.0 20.0,20.0 60.0,20.0 140.0,90.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-142 - mL/mL-4-1: non-simple MultiLineStrings crossing" do a = "MULTILINESTRING ((20 20, 90 90, 20 160),(90 160, 90 20))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((160 160, 90 90, 160 20),(160 120, 120 120, 90 90, 160 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-142 - mL/mL-4-1: non-simple MultiLineStrings crossing (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 90.0,20.0 160.0),(90.0 160.0,90.0 20.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((160.0 160.0,90.0 90.0,160.0 20.0),(160.0 120.0,120.0 120.0,90.0 90.0,160.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-143 - mL/mL-4-2: non-simple MultiLineStrings crossing" do a = "MULTILINESTRING ((20 20, 90 90, 20 160),(90 160, 90 20))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((160 160, 90 90, 160 20),(160 120, 120 120, 90 90, 120 60, 160 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-143 - mL/mL-4-2: non-simple MultiLineStrings crossing (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 90.0,20.0 160.0),(90.0 160.0,90.0 20.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((160.0 160.0,90.0 90.0,160.0 20.0),(160.0 120.0,120.0 120.0,90.0 90.0,120.0 60.0,160.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-144 - mL/mL-4-3: non-simple MultiLineStrings crossing" do a = "MULTILINESTRING ((20 20, 90 90, 20 160),(90 160, 90 20))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((160 160, 90 90, 160 20),(160 120, 90 90, 160 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "04-144 - mL/mL-4-3: non-simple MultiLineStrings crossing (float)" do a = "MULTILINESTRING((20.0 20.0,90.0 90.0,20.0 160.0),(90.0 160.0,90.0 20.0))" |> Geo.WKT.decode!() b = "MULTILINESTRING((160.0 160.0,90.0 90.0,160.0 20.0),(160.0 120.0,90.0 90.0,160.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/line_line_b_test.exs ================================================ defmodule Intersect.Validation.LineLineBTest do use ExUnit.Case @tag :validation test "12-001 - LL - A crosses B" do a = "LINESTRING (0 0, 100 100)" |> Geo.WKT.decode!() b = "LINESTRING (0 100, 100 0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-001 - LL - A crosses B (float)" do a = "LINESTRING(0.0 0.0,100.0 100.0)" |> Geo.WKT.decode!() b = "LINESTRING(0.0 100.0,100.0 0.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-002 - LL - A shares one segment with B" do a = "LINESTRING (0 0, 100 100, 200 0)" |> Geo.WKT.decode!() b = "LINESTRING (0 0, 100 100, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-002 - LL - A shares one segment with B (float)" do a = "LINESTRING(0.0 0.0,100.0 100.0,200.0 0.0)" |> Geo.WKT.decode!() b = "LINESTRING(0.0 0.0,100.0 100.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-003 - LL - A and B disjoint" do a = "LINESTRING (40 360, 40 220, 120 360)" |> Geo.WKT.decode!() b = "LINESTRING (120 340, 60 220, 140 220, 140 360)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-003 - LL - A and B disjoint (float)" do a = "LINESTRING(40.0 360.0,40.0 220.0,120.0 360.0)" |> Geo.WKT.decode!() b = "LINESTRING(120.0 340.0,60.0 220.0,140.0 220.0,140.0 360.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-004 - LL - A and B intersect frequently" do a = "LINESTRING (220 240, 200 220, 60 320, 40 300, 180 200, 160 180, 20 280)" |> Geo.WKT.decode!() b = "LINESTRING (220 240, 140 160, 120 180, 220 280, 200 300, 100 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-004 - LL - A and B intersect frequently (float)" do a = "LINESTRING(220.0 240.0,200.0 220.0,60.0 320.0,40.0 300.0,180.0 200.0,160.0 180.0,20.0 280.0)" |> Geo.WKT.decode!() b = "LINESTRING(220.0 240.0,140.0 160.0,120.0 180.0,220.0 280.0,200.0 300.0,100.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-005 - LL - A and B equal" do a = "LINESTRING (80 320, 220 320, 220 160, 80 300)" |> Geo.WKT.decode!() b = "LINESTRING (80 320, 220 320, 220 160, 80 300)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "12-005 - LL - A and B equal (float)" do a = "LINESTRING(80.0 320.0,220.0 320.0,220.0 160.0,80.0 300.0)" |> Geo.WKT.decode!() b = "LINESTRING(80.0 320.0,220.0 320.0,220.0 160.0,80.0 300.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "12-006 - LL - A and B touch ends" do a = "LINESTRING (60 200, 60 260, 140 200)" |> Geo.WKT.decode!() b = "LINESTRING (60 200, 60 140, 140 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-006 - LL - A and B touch ends (float)" do a = "LINESTRING(60.0 200.0,60.0 260.0,140.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(60.0 200.0,60.0 140.0,140.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-007 - LL - intersecting rings" do a = "LINESTRING (180 200, 100 280, 20 200, 100 120, 180 200)" |> Geo.WKT.decode!() b = "LINESTRING (100 200, 220 200, 220 80, 100 80, 100 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "12-007 - LL - intersecting rings (float)" do a = "LINESTRING(180.0 200.0,100.0 280.0,20.0 200.0,100.0 120.0,180.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(100.0 200.0,220.0 200.0,220.0 80.0,100.0 80.0,100.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/line_line_precision_test.exs ================================================ defmodule Intersect.Validation.LineLinePrecisionTest do use ExUnit.Case @tag :validation test "16-001 - LL - narrow V" do a = "LINESTRING (0 10, 620 10, 0 11)" |> Geo.WKT.decode!() b = "LINESTRING (400 60, 400 10)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "16-001 - LL - narrow V (float)" do a = "LINESTRING(0.0 10.0,620.0 10.0,0.0 11.0)" |> Geo.WKT.decode!() b = "LINESTRING(400.0 60.0,400.0 10.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/line_polygon_a_test.exs ================================================ defmodule Intersect.Validation.LinePolygonATest do use ExUnit.Case @tag :validation test "05-001 - L/A-3-1: a line touching the closing point of a polygon" do a = "LINESTRING (150 150, 40 230)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-001 - L/A-3-1: a line touching the closing point of a polygon (float)" do a = "LINESTRING(150.0 150.0,40.0 230.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-002 - L/A-3-2: the start and end points of a LineString touching the boundary (at non-vertices) of a polygon" do a = "LINESTRING (40 40, 50 130, 130 130)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-002 - L/A-3-2: the start and end points of a LineString touching the boundary (at non-vertices) of a polygon (float)" do a = "LINESTRING(40.0 40.0,50.0 130.0,130.0 130.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-003 - L/A-3-3: the end point of a line touching the closing point of a polygon" do a = "LINESTRING (40 230, 150 150)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-003 - L/A-3-3: the end point of a line touching the closing point of a polygon (float)" do a = "LINESTRING(40.0 230.0,150.0 150.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-004 - L/A-3-4: an entire LineString touching the boundary (at non-vertices) of a polygon" do a = "LINESTRING (210 150, 330 150)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-004 - L/A-3-4: an entire LineString touching the boundary (at non-vertices) of a polygon (float)" do a = "LINESTRING(210.0 150.0,330.0 150.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-005 - L/A-3-5: the start portion of a LineString touching the boundary (at non-vertices) of a polygon" do a = "LINESTRING (200 150, 310 150, 360 220)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-005 - L/A-3-5: the start portion of a LineString touching the boundary (at non-vertices) of a polygon (float)" do a = "LINESTRING(200.0 150.0,310.0 150.0,360.0 220.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-006 - L/A-3-6: the start portion and the end point of a LineString touching the boundary of a polygon" do a = "LINESTRING (180 150, 250 150, 230 250, 370 250, 410 150)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-006 - L/A-3-6: the start portion and the end point of a LineString touching the boundary of a polygon (float)" do a = "LINESTRING(180.0 150.0,250.0 150.0,230.0 250.0,370.0 250.0,410.0 150.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-007 - L/A-3-7: the middle portion of a LineString touching the boundary (at non-vertices) of a polygon" do a = "LINESTRING (210 210, 220 150, 320 150, 370 210)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-007 - L/A-3-7: the middle portion of a LineString touching the boundary (at non-vertices) of a polygon (float)" do a = "LINESTRING(210.0 210.0,220.0 150.0,320.0 150.0,370.0 210.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-008 - L/A-4-1: a line at non-vertex crossing non-vertex boundary of polygon" do a = "LINESTRING (20 60, 150 60)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-008 - L/A-4-1: a line at non-vertex crossing non-vertex boundary of polygon (float)" do a = "LINESTRING(20.0 60.0,150.0 60.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-009 - L/A-4-2: a line at non-vertex crossing non-vertex boundaries of polygon twice" do a = "LINESTRING (60 90, 310 180)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-009 - L/A-4-2: a line at non-vertex crossing non-vertex boundaries of polygon twice (float)" do a = "LINESTRING(60.0 90.0,310.0 180.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-010 - L/A-4-3: a line at non-vertex crossing vertex boundary of polygon" do a = "LINESTRING (90 210, 210 90)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-010 - L/A-4-3: a line at non-vertex crossing vertex boundary of polygon (float)" do a = "LINESTRING(90.0 210.0,210.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-011 - L/A-4-4: a line at non-vertex crossing vertex boundaries of polygon twice" do a = "LINESTRING (290 10, 130 170)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-011 - L/A-4-4: a line at non-vertex crossing vertex boundaries of polygon twice (float)" do a = "LINESTRING(290.0 10.0,130.0 170.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-012 - L/A-4-5: a line at vertex crossing non-vertex boundary of polygon" do a = "LINESTRING (30 100, 100 100, 180 100)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-012 - L/A-4-5: a line at vertex crossing non-vertex boundary of polygon (float)" do a = "LINESTRING(30.0 100.0,100.0 100.0,180.0 100.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-013 - L/A-4-6: a line at vertex crossing non-vertex boundaries of polygon twice" do a = "LINESTRING (20 100, 100 100, 360 100, 410 100)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-013 - L/A-4-6: a line at vertex crossing non-vertex boundaries of polygon twice (float)" do a = "LINESTRING(20.0 100.0,100.0 100.0,360.0 100.0,410.0 100.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-014 - L/A-4-7: a line at vertex crossing vertex boundary of polygon" do a = "LINESTRING (90 210, 150 150, 210 90)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-014 - L/A-4-7: a line at vertex crossing vertex boundary of polygon (float)" do a = "LINESTRING(90.0 210.0,150.0 150.0,210.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-015 - L/A-5-1: an entire line within a polygon" do a = "LINESTRING (180 90, 280 120)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-015 - L/A-5-1: an entire line within a polygon (float)" do a = "LINESTRING(180.0 90.0,280.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-016 - L/A-5-2: a line within a polygon but the line's both ends touching the boundary of the polygon" do a = "LINESTRING (70 70, 80 20)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-016 - L/A-5-2: a line within a polygon but the line's both ends touching the boundary of the polygon (float)" do a = "LINESTRING(70.0 70.0,80.0 20.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-017 - L/A-5-3: a line within a polygon but the line's start point touching the boundary of the polygon" do a = "LINESTRING (130 20, 150 60)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-017 - L/A-5-3: a line within a polygon but the line's start point touching the boundary of the polygon (float)" do a = "LINESTRING(130.0 20.0,150.0 60.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-018 - L/A-5-4: a line within a polygon but the line's start point and middle portion touching the boundary of the polygon" do a = "LINESTRING (70 70, 80 20, 140 20, 150 60)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-018 - L/A-5-4: a line within a polygon but the line's start point and middle portion touching the boundary of the polygon (float)" do a = "LINESTRING(70.0 70.0,80.0 20.0,140.0 20.0,150.0 60.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-019 - L/A-5-5: a line within a polygon but the line's middle portion touching the boundary of the polygon" do a = "LINESTRING (170 50, 170 20, 240 20, 260 60)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-019 - L/A-5-5: a line within a polygon but the line's middle portion touching the boundary of the polygon (float)" do a = "LINESTRING(170.0 50.0,170.0 20.0,240.0 20.0,260.0 60.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-020 - L/Ah-2-1: a line outside a polygon" do a = "LINESTRING (50 100, 140 190, 280 190)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-020 - L/Ah-2-1: a line outside a polygon (float)" do a = "LINESTRING(50.0 100.0,140.0 190.0,280.0 190.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-021 - L/Ah-2-2: a line inside a polygon's hole" do a = "LINESTRING (140 60, 180 100, 290 100)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-021 - L/Ah-2-2: a line inside a polygon's hole (float)" do a = "LINESTRING(140.0 60.0,180.0 100.0,290.0 100.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-022 - L/Ah-3-1: the start point of a line touching the inner boundary of a polygon" do a = "LINESTRING (170 120, 210 80, 270 80)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-022 - L/Ah-3-1: the start point of a line touching the inner boundary of a polygon (float)" do a = "LINESTRING(170.0 120.0,210.0 80.0,270.0 80.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-023 - L/Ah-3-2: both ends of a line touching the inner boundary of a polygon" do a = "LINESTRING (170 120, 260 50)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-023 - L/Ah-3-2: both ends of a line touching the inner boundary of a polygon (float)" do a = "LINESTRING(170.0 120.0,260.0 50.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-024 - L/Ah-3-1: both ends of a line touching the inner boundary of a polygon" do a = "LINESTRING (190 90, 190 270)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(190 190, 280 50, 100 50, 190 190))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-024 - L/Ah-3-1: both ends of a line touching the inner boundary of a polygon (float)" do a = "LINESTRING(190.0 90.0,190.0 270.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(190.0 190.0,280.0 50.0,100.0 50.0,190.0 190.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-025 - L/Ah-3-2: a line at a non-vertex crossing the boundary of a polygon where the closing point of the hole touches the shell at a non-vertex" do a = "LINESTRING (60 160, 150 70)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(110 110, 250 100, 140 30, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-025 - L/Ah-3-2: a line at a non-vertex crossing the boundary of a polygon where the closing point of the hole touches the shell at a non-vertex (float)" do a = "LINESTRING(60.0 160.0,150.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(110.0 110.0,250.0 100.0,140.0 30.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-026 - L/Ah-3-3: a line at a non-vertex crossing the boundary of a polygon where the hole at a vertex touches the shell at a non-vertex" do a = "LINESTRING (60 160, 150 70)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 20 20, 360 20, 190 190),(250 100, 110 110, 140 30, 250 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-026 - L/Ah-3-3: a line at a non-vertex crossing the boundary of a polygon where the hole at a vertex touches the shell at a non-vertex (float)" do a = "LINESTRING(60.0 160.0,150.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,20.0 20.0,360.0 20.0,190.0 190.0),(250.0 100.0,110.0 110.0,140.0 30.0,250.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-027 - L/Ah-3-4: a line at a non-vertex crossing the boundary of a polygon where the hole at a vertex touches the shell at a vertex" do a = "LINESTRING (60 160, 150 70)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 20 20, 360 20, 190 190),(250 100, 110 110, 140 30, 250 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-027 - L/Ah-3-4: a line at a non-vertex crossing the boundary of a polygon where the hole at a vertex touches the shell at a vertex (float)" do a = "LINESTRING(60.0 160.0,150.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,20.0 20.0,360.0 20.0,190.0 190.0),(250.0 100.0,110.0 110.0,140.0 30.0,250.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-028 - L/Ah-3-5: a line crossing polygon boundary where the closing point of the hole touches the shell at a vertex" do a = "LINESTRING (190 90, 190 190, 190 270)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(190 190, 280 50, 100 50, 190 190))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-028 - L/Ah-3-5: a line crossing polygon boundary where the closing point of the hole touches the shell at a vertex (float)" do a = "LINESTRING(190.0 90.0,190.0 190.0,190.0 270.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(190.0 190.0,280.0 50.0,100.0 50.0,190.0 190.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-029 - L/Ah-3-6: a line at a vertex crossing the boundary of a polygon where closing point of the hole touches the shell at a non-vertex" do a = "LINESTRING (60 160, 110 110, 150 70)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(110 110, 250 100, 140 30, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-029 - L/Ah-3-6: a line at a vertex crossing the boundary of a polygon where closing point of the hole touches the shell at a non-vertex (float)" do a = "LINESTRING(60.0 160.0,110.0 110.0,150.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(110.0 110.0,250.0 100.0,140.0 30.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-030 - L/Ah-3-7: a line at a vertex crossing the boundary of a polygon where the hole at a vertex touches the shell at a non-vertex" do a = "LINESTRING (60 160, 110 110, 150 70)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 20 20, 360 20, 190 190),(250 100, 110 110, 140 30, 250 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-030 - L/Ah-3-7: a line at a vertex crossing the boundary of a polygon where the hole at a vertex touches the shell at a non-vertex (float)" do a = "LINESTRING(60.0 160.0,110.0 110.0,150.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,20.0 20.0,360.0 20.0,190.0 190.0),(250.0 100.0,110.0 110.0,140.0 30.0,250.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-031 - L/Ah-3-8: a line at a non-vertex crossing the boundary of a polygon where the hole at a vertex touches the shell at a vertex" do a = "LINESTRING (60 160, 110 110, 150 70)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 110 110, 20 20, 360 20, 190 190),(250 100, 110 110, 140 30, 250 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-031 - L/Ah-3-8: a line at a non-vertex crossing the boundary of a polygon where the hole at a vertex touches the shell at a vertex (float)" do a = "LINESTRING(60.0 160.0,110.0 110.0,150.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,110.0 110.0,20.0 20.0,360.0 20.0,190.0 190.0),(250.0 100.0,110.0 110.0,140.0 30.0,250.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-032 - L/A2h-3-1: the start point a line touching the closing points of two connected holes in a polygon" do a = "LINESTRING (130 110, 180 110, 190 60)" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 240 200, 240 20, 20 20, 20 200),(130 110, 60 180, 60 40, 130 110),(130 110, 200 40, 200 180, 130 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-032 - L/A2h-3-1: the start point a line touching the closing points of two connected holes in a polygon (float)" do a = "LINESTRING(130.0 110.0,180.0 110.0,190.0 60.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,240.0 200.0,240.0 20.0,20.0 20.0,20.0 200.0),(130.0 110.0,60.0 180.0,60.0 40.0,130.0 110.0),(130.0 110.0,200.0 40.0,200.0 180.0,130.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-033 - L/A2h-3-2: the interior (at a non-vertex) of a line touching the closing points of two connected holes in a polygon" do a = "LINESTRING (80 110, 180 110)" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 240 200, 240 20, 20 20, 20 200),(130 110, 60 180, 60 40, 130 110),(130 110, 200 40, 200 180, 130 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-033 - L/A2h-3-2: the interior (at a non-vertex) of a line touching the closing points of two connected holes in a polygon (float)" do a = "LINESTRING(80.0 110.0,180.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,240.0 200.0,240.0 20.0,20.0 20.0,20.0 200.0),(130.0 110.0,60.0 180.0,60.0 40.0,130.0 110.0),(130.0 110.0,200.0 40.0,200.0 180.0,130.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-034 - L/A2h-3-3: the interior (at a non-vertex) of a line touching the closing point and at a vertex of two connected holes in a polygon" do a = "LINESTRING (80 110, 180 110)" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 20 20, 240 20, 240 200, 20 200),(60 180, 130 110, 60 40, 60 180),(130 110, 200 40, 200 180, 130 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-034 - L/A2h-3-3: the interior (at a non-vertex) of a line touching the closing point and at a vertex of two connected holes in a polygon (float)" do a = "LINESTRING(80.0 110.0,180.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,20.0 20.0,240.0 20.0,240.0 200.0,20.0 200.0),(60.0 180.0,130.0 110.0,60.0 40.0,60.0 180.0),(130.0 110.0,200.0 40.0,200.0 180.0,130.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-035 - L/A2h-3-4: the interior (at a non-vertex) of a line touching the closing point and at a non-vertex of two connected holes in a polygon" do a = "LINESTRING (80 110, 170 110)" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 20 20, 240 20, 240 200, 20 200),(130 110, 60 40, 60 180, 130 110),(130 180, 130 40, 200 110, 130 180))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-035 - L/A2h-3-4: the interior (at a non-vertex) of a line touching the closing point and at a non-vertex of two connected holes in a polygon (float)" do a = "LINESTRING(80.0 110.0,170.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,20.0 20.0,240.0 20.0,240.0 200.0,20.0 200.0),(130.0 110.0,60.0 40.0,60.0 180.0,130.0 110.0),(130.0 180.0,130.0 40.0,200.0 110.0,130.0 180.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-036 - L/A2h-3-5: the start point a line touching the closing point and a non-vertex of two connected holes in a polygon" do a = "LINESTRING (80 110, 130 110, 170 110)" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 20 20, 240 20, 240 200, 20 200),(130 110, 60 40, 60 180, 130 110),(130 180, 130 40, 200 110, 130 180))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-036 - L/A2h-3-5: the start point a line touching the closing point and a non-vertex of two connected holes in a polygon (float)" do a = "LINESTRING(80.0 110.0,130.0 110.0,170.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,20.0 20.0,240.0 20.0,240.0 200.0,20.0 200.0),(130.0 110.0,60.0 40.0,60.0 180.0,130.0 110.0),(130.0 180.0,130.0 40.0,200.0 110.0,130.0 180.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-037 - L/A2h-3-6: the interior (at a vertex) of a line touching the closing points of two connected holes in a polygon" do a = "LINESTRING (80 110, 130 110, 180 110)" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 240 200, 240 20, 20 20, 20 200),(130 110, 60 180, 60 40, 130 110),(130 110, 200 40, 200 180, 130 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-037 - L/A2h-3-6: the interior (at a vertex) of a line touching the closing points of two connected holes in a polygon (float)" do a = "LINESTRING(80.0 110.0,130.0 110.0,180.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,240.0 200.0,240.0 20.0,20.0 20.0,20.0 200.0),(130.0 110.0,60.0 180.0,60.0 40.0,130.0 110.0),(130.0 110.0,200.0 40.0,200.0 180.0,130.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-038 - L/A2h-3-7: the interior (at a vertex) of a line touching the closing point and at a vertex of two connected holes in a polygon" do a = "LINESTRING (80 110, 130 110, 180 110)" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 20 20, 240 20, 240 200, 20 200),(60 180, 130 110, 60 40, 60 180),(130 110, 200 40, 200 180, 130 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-038 - L/A2h-3-7: the interior (at a vertex) of a line touching the closing point and at a vertex of two connected holes in a polygon (float)" do a = "LINESTRING(80.0 110.0,130.0 110.0,180.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,20.0 20.0,240.0 20.0,240.0 200.0,20.0 200.0),(60.0 180.0,130.0 110.0,60.0 40.0,60.0 180.0),(130.0 110.0,200.0 40.0,200.0 180.0,130.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-039 - L/A2h-3-8: the interior (at a vertex) of a line touching the closing point and at a non-vertex of two connected holes in a polygon" do a = "LINESTRING (80 110, 130 110, 170 110)" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 20 20, 240 20, 240 200, 20 200),(130 110, 60 40, 60 180, 130 110),(130 180, 130 40, 200 110, 130 180))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-039 - L/A2h-3-8: the interior (at a vertex) of a line touching the closing point and at a non-vertex of two connected holes in a polygon (float)" do a = "LINESTRING(80.0 110.0,130.0 110.0,170.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,20.0 20.0,240.0 20.0,240.0 200.0,20.0 200.0),(130.0 110.0,60.0 40.0,60.0 180.0,130.0 110.0),(130.0 180.0,130.0 40.0,200.0 110.0,130.0 180.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-040 - L/mA-4-1: a line intersecting the interior and exterior of MultiPolygon" do a = "LINESTRING (160 70, 320 230)" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((140 110, 260 110, 170 20, 50 20, 140 110)),((300 270, 420 270, 340 190, 220 190, 300 270)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-040 - L/mA-4-1: a line intersecting the interior and exterior of MultiPolygon (float)" do a = "LINESTRING(160.0 70.0,320.0 230.0)" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((140.0 110.0,260.0 110.0,170.0 20.0,50.0 20.0,140.0 110.0)),((300.0 270.0,420.0 270.0,340.0 190.0,220.0 190.0,300.0 270.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-041 - L/mA-4-2: a line intersecting the interior and exterior of MultiPolygon" do a = "LINESTRING (160 70, 200 110, 280 190, 320 230)" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((140 110, 260 110, 170 20, 50 20, 140 110)),((300 270, 420 270, 340 190, 220 190, 300 270)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-041 - L/mA-4-2: a line intersecting the interior and exterior of MultiPolygon (float)" do a = "LINESTRING(160.0 70.0,200.0 110.0,280.0 190.0,320.0 230.0)" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((140.0 110.0,260.0 110.0,170.0 20.0,50.0 20.0,140.0 110.0)),((300.0 270.0,420.0 270.0,340.0 190.0,220.0 190.0,300.0 270.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-042 - L/mA-5-1: a line within two connected polygons" do a = "LINESTRING (70 50, 70 150)" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((0 0, 0 100, 140 100, 140 0, 0 0)),((20 170, 70 100, 130 170, 20 170)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "05-042 - L/mA-5-1: a line within two connected polygons (float)" do a = "LINESTRING(70.0 50.0,70.0 150.0)" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((0.0 0.0,0.0 100.0,140.0 100.0,140.0 0.0,0.0 0.0)),((20.0 170.0,70.0 100.0,130.0 170.0,20.0 170.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-043 - RL/A-3-1: a LinearRing touching a polygon's closing point" do a = "LINESTRING (110 110, 20 200, 200 200, 110 110)" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 200 20, 110 110, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-043 - RL/A-3-1: a LinearRing touching a polygon's closing point (float)" do a = "LINESTRING(110.0 110.0,20.0 200.0,200.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,200.0 20.0,110.0 110.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-044 - RL/A-3-2: a LinearRing touching a polygon's boundary at a non-vertex" do a = "LINESTRING (150 70, 160 110, 200 60, 150 70)" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 200 20, 110 110, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-044 - RL/A-3-2: a LinearRing touching a polygon's boundary at a non-vertex (float)" do a = "LINESTRING(150.0 70.0,160.0 110.0,200.0 60.0,150.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,200.0 20.0,110.0 110.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-045 - RL/A-3-3: a LinearRing touching a polygon's boundary at a non-vertex" do a = "LINESTRING (80 60, 120 40, 120 70, 80 60)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110),(110 90, 50 30, 170 30, 110 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-045 - RL/A-3-3: a LinearRing touching a polygon's boundary at a non-vertex (float)" do a = "LINESTRING(80.0 60.0,120.0 40.0,120.0 70.0,80.0 60.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 90.0,50.0 30.0,170.0 30.0,110.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-046 - RL/A-3-4: a LinearRing on the boundary of a polygon" do a = "LINESTRING (20 20, 200 20, 110 110, 20 20)" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 200 20, 110 110, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-046 - RL/A-3-4: a LinearRing on the boundary of a polygon (float)" do a = "LINESTRING(20.0 20.0,200.0 20.0,110.0 110.0,20.0 20.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,200.0 20.0,110.0 110.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-047 - RL/A-3-5: a LinearRing on the inner boundary of a polygon" do a = "LINESTRING (110 90, 170 30, 50 30, 110 90)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110),(110 90, 50 30, 170 30, 110 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-047 - RL/A-3-5: a LinearRing on the inner boundary of a polygon (float)" do a = "LINESTRING(110.0 90.0,170.0 30.0,50.0 30.0,110.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 90.0,50.0 30.0,170.0 30.0,110.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-048 - RL/A-3-6: a LinearRing on the inner boundary of a polygon" do a = "LINESTRING (110 110, 170 50, 170 110, 110 110)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110),(110 90, 50 30, 170 30, 110 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-048 - RL/A-3-6: a LinearRing on the inner boundary of a polygon (float)" do a = "LINESTRING(110.0 110.0,170.0 50.0,170.0 110.0,110.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 90.0,50.0 30.0,170.0 30.0,110.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-049 - RL/A-3-7: a LinearRing on the inner boundary of a polygon" do a = "LINESTRING (110 90, 70 50, 130 50, 110 90)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110),(110 90, 50 30, 170 30, 110 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-049 - RL/A-3-7: a LinearRing on the inner boundary of a polygon (float)" do a = "LINESTRING(110.0 90.0,70.0 50.0,130.0 50.0,110.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 90.0,50.0 30.0,170.0 30.0,110.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-050 - RL/A-4-1: a LinearRing crossing a polygon" do a = "LINESTRING (110 60, 20 150, 200 150, 110 60)" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 200 20, 110 110, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-050 - RL/A-4-1: a LinearRing crossing a polygon (float)" do a = "LINESTRING(110.0 60.0,20.0 150.0,200.0 150.0,110.0 60.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,200.0 20.0,110.0 110.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-051 - RL/A-4-2: a LinearRing crossing a polygon with a hole" do a = "LINESTRING (110 130, 110 70, 200 100, 110 130)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110),(110 90, 50 30, 170 30, 110 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-051 - RL/A-4-2: a LinearRing crossing a polygon with a hole (float)" do a = "LINESTRING(110.0 130.0,110.0 70.0,200.0 100.0,110.0 130.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 90.0,50.0 30.0,170.0 30.0,110.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-052 - RL/A-5-1: a LinearRing within a polygon" do a = "LINESTRING (110 90, 160 40, 60 40, 110 90)" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 200 20, 110 110, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-052 - RL/A-5-1: a LinearRing within a polygon (float)" do a = "LINESTRING(110.0 90.0,160.0 40.0,60.0 40.0,110.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,200.0 20.0,110.0 110.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-053 - RL/A-5-2: a LinearRing within a polygon with a hole" do a = "LINESTRING (110 100, 40 30, 180 30, 110 100)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110),(110 90, 60 40, 160 40, 110 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-053 - RL/A-5-2: a LinearRing within a polygon with a hole (float)" do a = "LINESTRING(110.0 100.0,40.0 30.0,180.0 30.0,110.0 100.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 90.0,60.0 40.0,160.0 40.0,110.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-054 - RL/A-5-3: a LinearRing within a polygon with a hole" do a = "LINESTRING (110 110, 180 30, 40 30, 110 110)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110),(110 90, 60 40, 160 40, 110 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-054 - RL/A-5-3: a LinearRing within a polygon with a hole (float)" do a = "LINESTRING(110.0 110.0,180.0 30.0,40.0 30.0,110.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 90.0,60.0 40.0,160.0 40.0,110.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-055 - RL/A-5-4: a LinearRing within a polygon with a hole" do a = "LINESTRING (110 90, 180 30, 40 30, 110 90)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110),(110 90, 60 40, 160 40, 110 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-055 - RL/A-5-4: a LinearRing within a polygon with a hole (float)" do a = "LINESTRING(110.0 90.0,180.0 30.0,40.0 30.0,110.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 90.0,60.0 40.0,160.0 40.0,110.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-056 - RL/A-5-5: a LinearRing within a polygon with a hole" do a = "LINESTRING (110 90, 50 30, 180 30, 110 90)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110),(110 90, 60 40, 160 40, 110 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-056 - RL/A-5-5: a LinearRing within a polygon with a hole (float)" do a = "LINESTRING(110.0 90.0,50.0 30.0,180.0 30.0,110.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 90.0,60.0 40.0,160.0 40.0,110.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-057 - nsL/A-3-1: a non-simple LineString touching a polygon" do a = "LINESTRING (110 110, 200 200, 200 110, 110 200)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-057 - nsL/A-3-1: a non-simple LineString touching a polygon (float)" do a = "LINESTRING(110.0 110.0,200.0 200.0,200.0 110.0,110.0 200.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-058 - nsL/A-3-2: a non-simple LineString touching a polygon" do a = "LINESTRING (110 110, 200 200, 110 110, 20 200, 20 110, 200 110)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-058 - nsL/A-3-2: a non-simple LineString touching a polygon (float)" do a = "LINESTRING(110.0 110.0,200.0 200.0,110.0 110.0,20.0 200.0,20.0 110.0,200.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-059 - nsL/A-3-3: a non-simple LineString touching a polygon" do a = "LINESTRING (110 110, 20 110, 200 110, 50 110, 110 170)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-059 - nsL/A-3-3: a non-simple LineString touching a polygon (float)" do a = "LINESTRING(110.0 110.0,20.0 110.0,200.0 110.0,50.0 110.0,110.0 170.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-060 - nsL/A-3-4: a non-simple LineString touching a polygon" do a = "LINESTRING (110 110, 20 200, 110 200, 110 110, 200 200)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-060 - nsL/A-3-4: a non-simple LineString touching a polygon (float)" do a = "LINESTRING(110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0,200.0 200.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-061 - nsL/A-3-5: a non-simple LineString touching a polygon" do a = "LINESTRING (110 110, 170 50, 20 200, 20 110, 200 110)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-061 - nsL/A-3-5: a non-simple LineString touching a polygon (float)" do a = "LINESTRING(110.0 110.0,170.0 50.0,20.0 200.0,20.0 110.0,200.0 110.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-062 - nsL/A-4-1: a non-simple LineString crossing a polygon" do a = "LINESTRING (110 110, 180 40, 110 40, 110 180)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-062 - nsL/A-4-1: a non-simple LineString crossing a polygon (float)" do a = "LINESTRING(110.0 110.0,180.0 40.0,110.0 40.0,110.0 180.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-063 - nsL/A-5-1: a non-simple LineString within a polygon" do a = "LINESTRING (110 60, 50 30, 170 30, 90 70)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-063 - nsL/A-5-1: a non-simple LineString within a polygon (float)" do a = "LINESTRING(110.0 60.0,50.0 30.0,170.0 30.0,90.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-064 - nsL/A-5-2: a non-simple LineString within a polygon" do a = "LINESTRING (110 110, 180 40, 110 40, 110 110, 70 40)" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-064 - nsL/A-5-2: a non-simple LineString within a polygon (float)" do a = "LINESTRING(110.0 110.0,180.0 40.0,110.0 40.0,110.0 110.0,70.0 40.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-065 - nsL/Ah: the self-crossing point of a non-simple LineString touching the closing point of the inner boundary of a polygon" do a = "LINESTRING (230 70, 170 120, 190 60, 140 60, 170 120, 270 90)" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-065 - nsL/Ah: the self-crossing point of a non-simple LineString touching the closing point of the inner boundary of a polygon (float)" do a = "LINESTRING(230.0 70.0,170.0 120.0,190.0 60.0,140.0 60.0,170.0 120.0,270.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-066 - mL/A-3-1: MultiLineString touching a polygon's closing point" do a = "MULTILINESTRING ((20 110, 200 110),(200 200, 110 110, 20 210, 110 110))" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-066 - mL/A-3-1: MultiLineString touching a polygon's closing point (float)" do a = "MULTILINESTRING((20.0 110.0,200.0 110.0),(200.0 200.0,110.0 110.0,20.0 210.0,110.0 110.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-067 - mL/A-3-2: MultiLineString touching a polygon's closing point" do a = "MULTILINESTRING ((20 110, 200 110),(60 180, 60 110, 160 110, 110 110))" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-067 - mL/A-3-2: MultiLineString touching a polygon's closing point (float)" do a = "MULTILINESTRING((20.0 110.0,200.0 110.0),(60.0 180.0,60.0 110.0,160.0 110.0,110.0 110.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-068 - mL/A-3-3: MultiLineString touching a polygon's closing point" do a = "MULTILINESTRING ((20 110, 200 110),(200 200, 110 110, 20 200, 110 200, 110 110))" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-068 - mL/A-3-3: MultiLineString touching a polygon's closing point (float)" do a = "MULTILINESTRING((20.0 110.0,200.0 110.0),(200.0 200.0,110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-069 - mL/A-4-1: MultiLineString crossing a polygon" do a = "MULTILINESTRING ((20 110, 200 110),(110 50, 110 170, 110 70, 110 150, 200 150))" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-069 - mL/A-4-1: MultiLineString crossing a polygon (float)" do a = "MULTILINESTRING((20.0 110.0,200.0 110.0),(110.0 50.0,110.0 170.0,110.0 70.0,110.0 150.0,200.0 150.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-070 - mL/A-4-2: MultiLineString crossing a polygon" do a = "MULTILINESTRING ((20 110, 200 110),(50 110, 170 110, 110 170, 110 50, 110 170, 110 50))" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-070 - mL/A-4-2: MultiLineString crossing a polygon (float)" do a = "MULTILINESTRING((20.0 110.0,200.0 110.0),(50.0 110.0,170.0 110.0,110.0 170.0,110.0 50.0,110.0 170.0,110.0 50.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-071 - mL/A-4-3: MultiLineString crossing a polygon" do a = "MULTILINESTRING ((20 110, 200 110),(110 60, 110 160, 200 160))" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-071 - mL/A-4-3: MultiLineString crossing a polygon (float)" do a = "MULTILINESTRING((20.0 110.0,200.0 110.0),(110.0 60.0,110.0 160.0,200.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-072 - mL/A-4-4: MultiLineString crossing a polygon" do a = "MULTILINESTRING ((20 110, 200 110),(110 60, 110 160, 200 160))" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-072 - mL/A-4-4: MultiLineString crossing a polygon (float)" do a = "MULTILINESTRING((20.0 110.0,200.0 110.0),(110.0 60.0,110.0 160.0,200.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-073 - mL/A-5-1: MultiLineString within a polygon" do a = "MULTILINESTRING ((110 100, 40 30, 180 30),(170 30, 110 90, 50 30))" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-073 - mL/A-5-1: MultiLineString within a polygon (float)" do a = "MULTILINESTRING((110.0 100.0,40.0 30.0,180.0 30.0),(170.0 30.0,110.0 90.0,50.0 30.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-074 - mL/A-5-2: MultiLineString within a polygon" do a = "MULTILINESTRING ((110 110, 60 40, 70 20, 150 20, 170 40),(180 30, 40 30, 110 80))" |> Geo.WKT.decode!() b = "POLYGON ((110 110, 200 20, 20 20, 110 110))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-074 - mL/A-5-2: MultiLineString within a polygon (float)" do a = "MULTILINESTRING((110.0 110.0,60.0 40.0,70.0 20.0,150.0 20.0,170.0 40.0),(180.0 30.0,40.0 30.0,110.0 80.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-075 - mL/mA-3-1: MultiLineString within a MultiPolygon" do a = "MULTILINESTRING ((20 110, 200 110, 200 160),(110 110, 200 110, 200 70, 20 150))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 20 20, 200 20, 110 110)),((110 110, 20 200, 200 200, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-075 - mL/mA-3-1: MultiLineString within a MultiPolygon (float)" do a = "MULTILINESTRING((20.0 110.0,200.0 110.0,200.0 160.0),(110.0 110.0,200.0 110.0,200.0 70.0,20.0 150.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0)),((110.0 110.0,20.0 200.0,200.0 200.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-076 - mL/mA-3-2: MultiLineString within a MultiPolygon" do a = "MULTILINESTRING ((20 160, 70 110, 150 110, 200 160),(110 110, 20 110, 50 80, 70 110, 200 110))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 20 20, 200 20, 110 110)),((110 110, 20 200, 200 200, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-076 - mL/mA-3-2: MultiLineString within a MultiPolygon (float)" do a = "MULTILINESTRING((20.0 160.0,70.0 110.0,150.0 110.0,200.0 160.0),(110.0 110.0,20.0 110.0,50.0 80.0,70.0 110.0,200.0 110.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0)),((110.0 110.0,20.0 200.0,200.0 200.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-077 - mL/mA-3-3: MultiLineString within a MultiPolygon" do a = "MULTILINESTRING ((20 110, 200 110),(110 110, 20 170, 20 130, 200 90))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 20 20, 200 20, 110 110)),((110 110, 20 200, 200 200, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "05-077 - mL/mA-3-3: MultiLineString within a MultiPolygon (float)" do a = "MULTILINESTRING((20.0 110.0,200.0 110.0),(110.0 110.0,20.0 170.0,20.0 130.0,200.0 90.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0)),((110.0 110.0,20.0 200.0,200.0 200.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/line_polygon_b_test.exs ================================================ defmodule Intersect.Validation.LinePolygonBTest do use ExUnit.Case @tag :validation test "13-001 - LA - A and B simple" do a = "LINESTRING (240 190, 120 120)" |> Geo.WKT.decode!() b = "POLYGON ((110 240, 50 80, 240 70, 110 240))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-001 - LA - A and B simple (float)" do a = "LINESTRING(240.0 190.0,120.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 240.0,50.0 80.0,240.0 70.0,110.0 240.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-002 - LA - A intersects B-hole" do a = "LINESTRING (0 100, 100 100, 200 200)" |> Geo.WKT.decode!() b = "POLYGON ((30 240, 260 30, 30 30, 30 240),(80 140, 80 80, 140 80, 80 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-002 - LA - A intersects B-hole (float)" do a = "LINESTRING(0.0 100.0,100.0 100.0,200.0 200.0)" |> Geo.WKT.decode!() b = "POLYGON((30.0 240.0,260.0 30.0,30.0 30.0,30.0 240.0),(80.0 140.0,80.0 80.0,140.0 80.0,80.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-003 - LA - A intersects B-hole #2" do a = "LINESTRING (40 340, 200 250, 120 180, 160 110, 270 40)" |> Geo.WKT.decode!() b = "POLYGON ((160 330, 60 260, 20 150, 60 40, 190 20, 270 130, 260 250, 160 330),(140 240, 80 190, 90 100, 160 70, 210 130, 210 210, 140 240))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-003 - LA - A intersects B-hole #2 (float)" do a = "LINESTRING(40.0 340.0,200.0 250.0,120.0 180.0,160.0 110.0,270.0 40.0)" |> Geo.WKT.decode!() b = "POLYGON((160.0 330.0,60.0 260.0,20.0 150.0,60.0 40.0,190.0 20.0,270.0 130.0,260.0 250.0,160.0 330.0),(140.0 240.0,80.0 190.0,90.0 100.0,160.0 70.0,210.0 130.0,210.0 210.0,140.0 240.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-004 - mLmA - A and B complex, disjoint" do a = "MULTIPOLYGON (((60 320, 60 80, 300 80, 60 320),(80 280, 80 100, 260 100, 80 280)),((120 160, 140 160, 140 140, 120 160)))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((100 240, 100 180, 160 180, 160 120, 220 120),(40 360, 40 60, 340 60, 40 360, 40 20),(120 120, 120 140, 100 140, 100 120, 140 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-004 - mLmA - A and B complex, disjoint (float)" do a = "MULTIPOLYGON(((60.0 320.0,60.0 80.0,300.0 80.0,60.0 320.0),(80.0 280.0,80.0 100.0,260.0 100.0,80.0 280.0)),((120.0 160.0,140.0 160.0,140.0 140.0,120.0 160.0)))" |> Geo.WKT.decode!() b = "MULTILINESTRING((100.0 240.0,100.0 180.0,160.0 180.0,160.0 120.0,220.0 120.0),(40.0 360.0,40.0 60.0,340.0 60.0,40.0 360.0,40.0 20.0),(120.0 120.0,120.0 140.0,100.0 140.0,100.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-005 - mLmA - A and B complex, overlapping and touching #1" do a = "MULTIPOLYGON (((60 260, 60 120, 220 120, 220 260, 60 260),(80 240, 80 140, 200 140, 200 240, 80 240)),((100 220, 100 160, 180 160, 180 220, 100 220),(120 200, 120 180, 160 180, 160 200, 120 200)))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((40 260, 240 260, 240 240, 40 240, 40 220, 240 220),(120 300, 120 80, 140 80, 140 300, 140 80, 120 80, 120 320))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-005 - mLmA - A and B complex, overlapping and touching #1 (float)" do a = "MULTIPOLYGON(((60.0 260.0,60.0 120.0,220.0 120.0,220.0 260.0,60.0 260.0),(80.0 240.0,80.0 140.0,200.0 140.0,200.0 240.0,80.0 240.0)),((100.0 220.0,100.0 160.0,180.0 160.0,180.0 220.0,100.0 220.0),(120.0 200.0,120.0 180.0,160.0 180.0,160.0 200.0,120.0 200.0)))" |> Geo.WKT.decode!() b = "MULTILINESTRING((40.0 260.0,240.0 260.0,240.0 240.0,40.0 240.0,40.0 220.0,240.0 220.0),(120.0 300.0,120.0 80.0,140.0 80.0,140.0 300.0,140.0 80.0,120.0 80.0,120.0 320.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-006 - mLmA - A and B complex, overlapping and touching #2" do a = "MULTIPOLYGON (((60 320, 60 120, 280 120, 280 320, 60 320),(120 260, 120 180, 240 180, 240 260, 120 260)),((280 400, 320 400, 320 360, 280 360, 280 400)),((300 240, 300 220, 320 220, 320 240, 300 240)))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((80 300, 80 160, 260 160, 260 300, 80 300, 80 140),(220 360, 220 240, 300 240, 300 360))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-006 - mLmA - A and B complex, overlapping and touching #2 (float)" do a = "MULTIPOLYGON(((60.0 320.0,60.0 120.0,280.0 120.0,280.0 320.0,60.0 320.0),(120.0 260.0,120.0 180.0,240.0 180.0,240.0 260.0,120.0 260.0)),((280.0 400.0,320.0 400.0,320.0 360.0,280.0 360.0,280.0 400.0)),((300.0 240.0,300.0 220.0,320.0 220.0,320.0 240.0,300.0 240.0)))" |> Geo.WKT.decode!() b = "MULTILINESTRING((80.0 300.0,80.0 160.0,260.0 160.0,260.0 300.0,80.0 300.0,80.0 140.0),(220.0 360.0,220.0 240.0,300.0 240.0,300.0 360.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-007 - mLmA - A and B complex, overlapping and touching #3" do a = "MULTIPOLYGON (((120 180, 60 80, 180 80, 120 180)),((100 240, 140 240, 120 220, 100 240)))" |> Geo.WKT.decode!() b = "MULTILINESTRING ((180 260, 120 180, 60 260, 180 260),(60 300, 60 40),(100 100, 140 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "13-007 - mLmA - A and B complex, overlapping and touching #3 (float)" do a = "MULTIPOLYGON(((120.0 180.0,60.0 80.0,180.0 80.0,120.0 180.0)),((100.0 240.0,140.0 240.0,120.0 220.0,100.0 240.0)))" |> Geo.WKT.decode!() b = "MULTILINESTRING((180.0 260.0,120.0 180.0,60.0 260.0,180.0 260.0),(60.0 300.0,60.0 40.0),(100.0 100.0,140.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/line_polygon_precision_test.exs ================================================ defmodule Intersect.Validation.LinePolygonPrecisionTest do use ExUnit.Case @tag :validation test "17-001 - LA - line and sliver intersecting, dimensional collapse" do a = "POLYGON ((95 9, 81 414, 87 414, 95 9))" |> Geo.WKT.decode!() b = "LINESTRING (93 13, 96 13)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "17-001 - LA - line and sliver intersecting, dimensional collapse (float)" do a = "POLYGON((95.0 9.0,81.0 414.0,87.0 414.0,95.0 9.0))" |> Geo.WKT.decode!() b = "LINESTRING(93.0 13.0,96.0 13.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/point_line_a_test.exs ================================================ defmodule Intersect.Validation.PointLineATest do use ExUnit.Case @tag :validation test "02-001 - P/L-2: a point and a line disjoint" do a = "POINT (110 200)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-001 - P/L-2: a point and a line disjoint (float)" do a = "POINT(110.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-002 - P/L-3-1: a point touching the start point of a line" do a = "POINT (90 80)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-002 - P/L-3-1: a point touching the start point of a line (float)" do a = "POINT(90.0 80.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-003 - P/L-3-2: a point touching the end point of a line" do a = "POINT (340 240)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-003 - P/L-3-2: a point touching the end point of a line (float)" do a = "POINT(340.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-004 - P/L-5-1: a point on the line at a non-vertex" do a = "POINT (230 150)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-004 - P/L-5-1: a point on the line at a non-vertex (float)" do a = "POINT(230.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-005 - P/L-5-2: a point on the line at a vertex" do a = "POINT (160 150)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-005 - P/L-5-2: a point on the line at a vertex (float)" do a = "POINT(160.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-006 - P/LR-2-1: a point outside a LinearRing" do a = "POINT (90 150)" |> Geo.WKT.decode!() b = "LINESTRING (150 150, 20 20, 280 20, 150 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-006 - P/LR-2-1: a point outside a LinearRing (float)" do a = "POINT(90.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(150.0 150.0,20.0 20.0,280.0 20.0,150.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-007 - P/LR-2-2: a point inside a LinearRing" do a = "POINT (150 80)" |> Geo.WKT.decode!() b = "LINESTRING (150 150, 20 20, 280 20, 150 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-007 - P/LR-2-2: a point inside a LinearRing (float)" do a = "POINT(150.0 80.0)" |> Geo.WKT.decode!() b = "LINESTRING(150.0 150.0,20.0 20.0,280.0 20.0,150.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-008 - P/LR-5-1: a point on the closing point of a LinearRing" do a = "POINT (150 150)" |> Geo.WKT.decode!() b = "LINESTRING (150 150, 20 20, 280 20, 150 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-008 - P/LR-5-1: a point on the closing point of a LinearRing (float)" do a = "POINT(150.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(150.0 150.0,20.0 20.0,280.0 20.0,150.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-009 - P/LR-5-2: a point on a LinearRing at a non-vertex" do a = "POINT (100 20)" |> Geo.WKT.decode!() b = "LINESTRING (150 150, 20 20, 280 20, 150 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-009 - P/LR-5-2: a point on a LinearRing at a non-vertex (float)" do a = "POINT(100.0 20.0)" |> Geo.WKT.decode!() b = "LINESTRING(150.0 150.0,20.0 20.0,280.0 20.0,150.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-010 - P/LR-5-3: a point on a LinearRing at a vertex" do a = "POINT (20 20)" |> Geo.WKT.decode!() b = "LINESTRING (150 150, 20 20, 280 20, 150 150)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-010 - P/LR-5-3: a point on a LinearRing at a vertex (float)" do a = "POINT(20.0 20.0)" |> Geo.WKT.decode!() b = "LINESTRING(150.0 150.0,20.0 20.0,280.0 20.0,150.0 150.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-011 - P/nsL.1-3-1: a point on a non-simple LineString's end point" do a = "POINT (220 220)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 220 20, 20 20, 110 110, 220 220)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-011 - P/nsL.1-3-1: a point on a non-simple LineString's end point (float)" do a = "POINT(220.0 220.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,220.0 20.0,20.0 20.0,110.0 110.0,220.0 220.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-012 - P/nsL.1-5-1: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 220 20, 20 20, 110 110, 220 220)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-012 - P/nsL.1-5-1: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,220.0 20.0,20.0 20.0,110.0 110.0,220.0 220.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-013 - P/nsL.1-5-2: a point a non-simple LineString's start point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 220 20, 20 20, 220 220)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-013 - P/nsL.1-5-2: a point a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,220.0 20.0,20.0 20.0,220.0 220.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-014 - P/nsL.1-5-3: a point on a non-simple LineString's interior at a non-vertex" do a = "POINT (110 20)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 220 20, 20 20, 220 220)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-014 - P/nsL.1-5-3: a point on a non-simple LineString's interior at a non-vertex (float)" do a = "POINT(110.0 20.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,220.0 20.0,20.0 20.0,220.0 220.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-015 - P/nsL.1-5-4: a point on a non-simple LineString's interior at a vertex" do a = "POINT (220 20)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 220 20, 20 20, 220 220)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-015 - P/nsL.1-5-4: a point on a non-simple LineString's interior at a vertex (float)" do a = "POINT(220.0 20.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,220.0 20.0,20.0 20.0,220.0 220.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-016 - P/nsL.2-5-2: a point on a non-simple LineString's interior at a vertex" do a = "POINT (110 20)" |> Geo.WKT.decode!() b = "LINESTRING (220 220, 20 20, 220 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-016 - P/nsL.2-5-2: a point on a non-simple LineString's interior at a vertex (float)" do a = "POINT(110.0 20.0)" |> Geo.WKT.decode!() b = "LINESTRING(220.0 220.0,20.0 20.0,220.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-017 - P/nsL.2-5-3: a point on a non-simple LineString's interior at a vertex" do a = "POINT (20 20)" |> Geo.WKT.decode!() b = "LINESTRING (220 220, 20 20, 220 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-017 - P/nsL.2-5-3: a point on a non-simple LineString's interior at a vertex (float)" do a = "POINT(20.0 20.0)" |> Geo.WKT.decode!() b = "LINESTRING(220.0 220.0,20.0 20.0,220.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-018 - P/nsL.2-5-4: a point on a non-simple LineString's interior at a vertex with crossing line segments" do a = "POINT (20 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 20 20, 110 20, 20 110, 110 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-018 - P/nsL.2-5-4: a point on a non-simple LineString's interior at a vertex with crossing line segments (float)" do a = "POINT(20.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,20.0 20.0,110.0 20.0,20.0 110.0,110.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-019 - P/nsL.3-3-1: a point on a non-simple LineString's start point" do a = "POINT (20 200)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 200 20, 20 20, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-019 - P/nsL.3-3-1: a point on a non-simple LineString's start point (float)" do a = "POINT(20.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-020 - P/nsL.3-5-1: a point on a non-simple LineString's interior at a non-vertex with overlapping line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 200 20, 140 20, 140 80, 80 140, 20 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-020 - P/nsL.3-5-1: a point on a non-simple LineString's interior at a non-vertex with overlapping line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,200.0 20.0,140.0 20.0,140.0 80.0,80.0 140.0,20.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-021 - P/nsL.3-5-2: a point on a non-simple LineString's interior at a non-vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 200 20, 20 20, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-021 - P/nsL.3-5-2: a point on a non-simple LineString's interior at a non-vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-022 - P/nsL.3-5-3: a point on a non-simple LineString's interior at a vertex with both crossing and overlapping line segments" do a = "POINT (80 140)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 110 110, 200 20, 140 20, 140 80, 110 110, 80 140, 20 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-022 - P/nsL.3-5-3: a point on a non-simple LineString's interior at a vertex with both crossing and overlapping line segments (float)" do a = "POINT(80.0 140.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,110.0 110.0,200.0 20.0,140.0 20.0,140.0 80.0,110.0 110.0,80.0 140.0,20.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-023 - P/nsL.3-5-4: a point on a non-simple LineString's interior at a two-vertex point with overlapping line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 110 110, 200 20, 140 20, 140 80, 110 110, 80 140, 20 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-023 - P/nsL.3-5-4: a point on a non-simple LineString's interior at a two-vertex point with overlapping line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,110.0 110.0,200.0 20.0,140.0 20.0,140.0 80.0,110.0 110.0,80.0 140.0,20.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-024 - P/nsL.3-5-5: a point on a non-simple LineString's interior at a vertex with overlapping line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 200 20, 140 20, 140 80, 110 110, 80 140, 20 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-024 - P/nsL.3-5-5: a point on a non-simple LineString's interior at a vertex with overlapping line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,200.0 20.0,140.0 20.0,140.0 80.0,110.0 110.0,80.0 140.0,20.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-025 - P/nsL.3-5-6: a point on a non-simple LineString's interior at a two-vertex point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 110 110, 200 20, 20 20, 110 110, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-025 - P/nsL.3-5-6: a point on a non-simple LineString's interior at a two-vertex point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-026 - P/nsL.3-5-7: a point on a non-simple LineString's interior at a vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 200 20, 20 20, 110 110, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-026 - P/nsL.3-5-7: a point on a non-simple LineString's interior at a vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-027 - P/nsL.3-5-8: a point on a non-simple LineString's interior at a two-vertex point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 110 110, 20 20, 200 20, 110 110, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-027 - P/nsL.3-5-8: a point on a non-simple LineString's interior at a two-vertex point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-028 - P/nsL.4-3-1: a point on a non-simple LineString's start point with crossing and overlapping line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 110 200, 20 200, 110 110, 200 20, 140 20, 140 80, 110 110, 80 140, 20 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-028 - P/nsL.4-3-1: a point on a non-simple LineString's start point with crossing and overlapping line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,110.0 200.0,20.0 200.0,110.0 110.0,200.0 20.0,140.0 20.0,140.0 80.0,110.0 110.0,80.0 140.0,20.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-029 - P/nsL.4-3-2: a point on a non-simple LineString's start point with crossing and overlapping line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 110 200, 20 200, 200 20, 140 20, 140 80, 110 110, 80 140, 20 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-029 - P/nsL.4-3-2: a point on a non-simple LineString's start point with crossing and overlapping line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,110.0 200.0,20.0 200.0,200.0 20.0,140.0 20.0,140.0 80.0,110.0 110.0,80.0 140.0,20.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-030 - P/nsL.4-3-3:a point on a non-simple LineString's start point with crossing and overlapping line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 110 200, 20 200, 200 20, 140 20, 140 80, 80 140, 20 140)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-030 - P/nsL.4-3-3:a point on a non-simple LineString's start point with crossing and overlapping line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,110.0 200.0,20.0 200.0,200.0 20.0,140.0 20.0,140.0 80.0,80.0 140.0,20.0 140.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-031 - P/nsL.4-3-4: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 110 200, 20 200, 110 110, 200 20, 20 20, 110 110, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-031 - P/nsL.4-3-4: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,110.0 200.0,20.0 200.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-032 - P/nsL.4-3-5: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 110 200, 20 200, 200 20, 20 20, 110 110, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-032 - P/nsL.4-3-5: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,110.0 200.0,20.0 200.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-033 - P/nsL.4-3-6: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 110 200, 20 200, 200 20, 20 20, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-033 - P/nsL.4-3-6: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,110.0 200.0,20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-034 - P/nsL.4-3-7: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 110 200, 20 200, 110 110, 20 20, 200 20, 110 110, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-034 - P/nsL.4-3-7: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,110.0 200.0,20.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-035 - P/nsL.4-3-8: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 110 200, 20 200, 200 20, 200 110, 110 110, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-035 - P/nsL.4-3-8: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,110.0 200.0,20.0 200.0,200.0 20.0,200.0 110.0,110.0 110.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-036 - P/nsL.5-3-1: a point on a non-simple LineString's end point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 110 110, 20 20, 200 20, 110 110, 20 200, 110 200, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-036 - P/nsL.5-3-1: a point on a non-simple LineString's end point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-037 - P/nsL.5-3-2: a point on a non-simple LineString's end point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 110 110, 20 200, 110 200, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-037 - P/nsL.5-3-2: a point on a non-simple LineString's end point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-038 - P/nsL.5-3-3: a point on a non-simple LineString's end point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 20 200, 110 200, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-038 - P/nsL.5-3-3: a point on a non-simple LineString's end point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,20.0 200.0,110.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-039 - P/nsL.5-3-4: a point on a non-simple LineString's end point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 110 110, 200 20, 20 20, 110 110, 20 200, 110 200, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-039 - P/nsL.5-3-4: a point on a non-simple LineString's end point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-040 - P/nsL.5-3-5: a point on a non-simple LineString's end point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 20 110, 110 110, 20 200, 110 200, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-040 - P/nsL.5-3-5: a point on a non-simple LineString's end point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,20.0 110.0,110.0 110.0,20.0 200.0,110.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-041 - P/nsL.6-3-1: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (110 160)" |> Geo.WKT.decode!() b = "LINESTRING (110 160, 200 250, 110 250, 110 160, 110 110, 110 20, 20 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-041 - P/nsL.6-3-1: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(110.0 160.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 160.0,200.0 250.0,110.0 250.0,110.0 160.0,110.0 110.0,110.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-042 - P/nsL.6-3-2: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (110 160)" |> Geo.WKT.decode!() b = "LINESTRING (110 160, 200 250, 110 250, 110 110, 110 20, 20 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-042 - P/nsL.6-3-2: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(110.0 160.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 160.0,200.0 250.0,110.0 250.0,110.0 110.0,110.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-043 - P/nsL.6-3-3: a point on a non-simple LineString's end point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 160, 200 250, 110 250, 110 160, 110 110, 110 20, 20 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-043 - P/nsL.6-3-3: a point on a non-simple LineString's end point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 160.0,200.0 250.0,110.0 250.0,110.0 160.0,110.0 110.0,110.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-044 - P/nsL.6-3-4: a point on a non-simple LineString's end point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 160, 200 250, 110 250, 110 160, 110 20, 20 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-044 - P/nsL.6-3-4: a point on a non-simple LineString's end point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 160.0,200.0 250.0,110.0 250.0,110.0 160.0,110.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-045 - P/nsL.7-5-1: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 200, 110 200, 110 110, 110 20, 20 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-045 - P/nsL.7-5-1: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 200.0,110.0 200.0,110.0 110.0,110.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-046 - P/nsL.7-5-2: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 200, 110 200, 110 20, 20 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-046 - P/nsL.7-5-2: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 200.0,110.0 200.0,110.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-047 - P/nsL.7-5-3: a point on a closed non-simple LineString's interior at a non-vertex" do a = "POINT (140 200)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 200, 110 200, 110 110, 110 20, 20 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-047 - P/nsL.7-5-3: a point on a closed non-simple LineString's interior at a non-vertex (float)" do a = "POINT(140.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 200.0,110.0 200.0,110.0 110.0,110.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-048 - P/nsL.7-5-4: a point on a closed non-simple LineString's interior at a vertex" do a = "POINT (110 200)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 200, 110 200, 110 110, 110 20, 20 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-048 - P/nsL.7-5-4: a point on a closed non-simple LineString's interior at a vertex (float)" do a = "POINT(110.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 200.0,110.0 200.0,110.0 110.0,110.0 20.0,20.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-049 - P/nsL.8-5-1: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 200, 110 200, 110 110, 110 20, 200 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-049 - P/nsL.8-5-1: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 200.0,110.0 200.0,110.0 110.0,110.0 20.0,200.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-050 - P/nsL.8-5-2: a point on the interior (at a non-vertex) of a closed non-simple LineString" do a = "POINT (140 200)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 200, 110 200, 110 110, 110 20, 200 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-050 - P/nsL.8-5-2: a point on the interior (at a non-vertex) of a closed non-simple LineString (float)" do a = "POINT(140.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 200.0,110.0 200.0,110.0 110.0,110.0 20.0,200.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-051 - P/nsL.8-5-3: a point on a closed non-simple LineString's interior at a vertex" do a = "POINT (110 200)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 200 200, 110 200, 110 110, 110 20, 200 20, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-051 - P/nsL.8-5-3: a point on a closed non-simple LineString's interior at a vertex (float)" do a = "POINT(110.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,200.0 200.0,110.0 200.0,110.0 110.0,110.0 20.0,200.0 20.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-052 - P/nsL.9-3-1: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 20 130, 20 200, 90 130, 200 20, 20 20, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-052 - P/nsL.9-3-1: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,20.0 130.0,20.0 200.0,90.0 130.0,200.0 20.0,20.0 20.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-053 - P/nsL.9-5-1: a point on a non-simple LineString's interior at a non-vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 20 130, 20 200, 90 130, 200 20, 20 20, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-053 - P/nsL.9-5-1: a point on a non-simple LineString's interior at a non-vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,20.0 130.0,20.0 200.0,90.0 130.0,200.0 20.0,20.0 20.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-054 - P/nsL.10-3-1: a point on a non-simple LineString's start point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 20 130, 20 200, 200 20, 20 20, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-054 - P/nsL.10-3-1: a point on a non-simple LineString's start point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,20.0 130.0,20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-055 - P/nsL.10-5-1: a point on a non-simple LineString's interior at a non-vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 20 130, 20 200, 200 20, 20 20, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-055 - P/nsL.10-5-1: a point on a non-simple LineString's interior at a non-vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,20.0 130.0,20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-056 - P/nsL.11-3-1: a point on a closed non-simple LineString's end point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 90 130, 20 200, 20 130, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-056 - P/nsL.11-3-1: a point on a closed non-simple LineString's end point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,90.0 130.0,20.0 200.0,20.0 130.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-057 - P/nsL.11-5-1: a point on a closed non-simple LineString's interior at a non-vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 90 130, 20 200, 20 130, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-057 - P/nsL.11-5-1: a point on a closed non-simple LineString's interior at a non-vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,90.0 130.0,20.0 200.0,20.0 130.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-058 - P/nsL.12-3-1: a point on a closed non-simple LineString's end point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 20 200, 20 130, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-058 - P/nsL.12-3-1: a point on a closed non-simple LineString's end point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,20.0 200.0,20.0 130.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-059 - P/nsL.12-5-1: a point on a closed non-simple LineString's interior at a non-vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 20 200, 20 130, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-059 - P/nsL.12-5-1: a point on a closed non-simple LineString's interior at a non-vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,20.0 200.0,20.0 130.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-060 - P/nsL.13-5-1: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 20 130, 20 200, 110 110, 200 20, 20 20, 110 110, 200 200, 200 130, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-060 - P/nsL.13-5-1: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,20.0 130.0,20.0 200.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0,200.0 130.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-061 - P/nsL.13-5-2: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 20 130, 20 200, 200 20, 20 20, 200 200, 200 130, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-061 - P/nsL.13-5-2: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,20.0 130.0,20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0,200.0 130.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-062 - P/nsL.14-5-1: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 80 200, 20 200, 110 110, 200 20, 20 20, 110 110, 200 200, 140 200, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-062 - P/nsL.14-5-1: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,80.0 200.0,20.0 200.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0,140.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-063 - P/nsL.14-5-2: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 110, 80 200, 20 200, 200 20, 20 20, 200 200, 140 200, 110 110)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-063 - P/nsL.14-5-2: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 110.0,80.0 200.0,20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0,140.0 200.0,110.0 110.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-064 - P/nsL.15-5-1: a point on a closed non-simple LineString's interior at a non-vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 20 20, 200 20, 20 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-064 - P/nsL.15-5-1: a point on a closed non-simple LineString's interior at a non-vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,20.0 20.0,200.0 20.0,20.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-065 - P/nsL.15-5-2: a point on a closed non-simple LineString's interior at a vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 110 110, 20 20, 200 20, 110 110, 20 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-065 - P/nsL.15-5-2: a point on a closed non-simple LineString's interior at a vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,20.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-066 - P/nsL.15-5-3: a point on a closed non-simple LineString's interior at a vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (200 200, 110 110, 200 20, 20 20, 110 110, 20 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-066 - P/nsL.15-5-3: a point on a closed non-simple LineString's interior at a vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(200.0 200.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,20.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-067 - P/nsL.16-5-1: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 20 130, 20 200, 90 130, 110 110, 200 20, 20 20, 110 110, 200 200, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-067 - P/nsL.16-5-1: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,20.0 130.0,20.0 200.0,90.0 130.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-068 - P/nsL.16-5-2: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 20 130, 20 200, 110 110, 200 20, 20 20, 110 110, 200 200, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-068 - P/nsL.16-5-2: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,20.0 130.0,20.0 200.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-069 - P/nsL.17-5-1: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 90 200, 20 200, 90 130, 110 110, 200 20, 20 20, 110 110, 200 200, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-069 - P/nsL.17-5-1: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,90.0 200.0,20.0 200.0,90.0 130.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-070 - P/nsL.17-5-2: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 90 200, 20 200, 200 20, 20 20, 200 200, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-070 - P/nsL.17-5-2: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,90.0 200.0,20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-071 - P/nsL.17-5-3: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 90 200, 20 200, 110 110, 200 20, 20 20, 110 110, 200 200, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-071 - P/nsL.17-5-3: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,90.0 200.0,20.0 200.0,110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0,200.0 200.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-072 - P/nsL.17-5-4: a point on a closed non-simple LineString's closing point with crossing line segments" do a = "POINT (90 130)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 90 200, 20 200, 200 20, 20 20, 200 200, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-072 - P/nsL.17-5-4: a point on a closed non-simple LineString's closing point with crossing line segments (float)" do a = "POINT(90.0 130.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,90.0 200.0,20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-073 - P/nsL.17-5-5: a point on a closed non-simple LineString's interior at a non-vertex with crossing line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (90 130, 90 200, 20 200, 200 20, 20 20, 200 200, 90 130)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-073 - P/nsL.17-5-5: a point on a closed non-simple LineString's interior at a non-vertex with crossing line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 130.0,90.0 200.0,20.0 200.0,200.0 20.0,20.0 20.0,200.0 200.0,90.0 130.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-074 - P/nsL.18-5-1: a point on a non-simple LineString's start point with both crossing and overlapping line segments" do a = "POINT (110 200)" |> Geo.WKT.decode!() b = "LINESTRING (110 200, 110 110, 20 20, 200 20, 110 110, 110 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-074 - P/nsL.18-5-1: a point on a non-simple LineString's start point with both crossing and overlapping line segments (float)" do a = "POINT(110.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,110.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-075 - P/nsL.18-5-2: a point on a non-simple LineString's interior at a non-vertex with overlapping line segments" do a = "POINT (110 150)" |> Geo.WKT.decode!() b = "LINESTRING (110 200, 110 110, 20 20, 200 20, 110 110, 110 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-075 - P/nsL.18-5-2: a point on a non-simple LineString's interior at a non-vertex with overlapping line segments (float)" do a = "POINT(110.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,110.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-076 - P/nsL.18-5-3: a point on a non-simple LineString's interior at a vertex with both crossing and overlapping line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 200, 110 110, 20 20, 200 20, 110 110, 110 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-076 - P/nsL.18-5-3: a point on a non-simple LineString's interior at a vertex with both crossing and overlapping line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,110.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-077 - P/nsL.19-5-1: a point on a non-simple LineString's closing point with overlapping line segments" do a = "POINT (110 200)" |> Geo.WKT.decode!() b = "LINESTRING (110 200, 110 110, 20 20, 200 20, 110 110, 110 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-077 - P/nsL.19-5-1: a point on a non-simple LineString's closing point with overlapping line segments (float)" do a = "POINT(110.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,110.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-078 - P/nsL.19-5-2: a point on a non-simple LineString's interior at a non-vertex overlapping line segments" do a = "POINT (110 150)" |> Geo.WKT.decode!() b = "LINESTRING (110 200, 110 110, 20 20, 200 20, 110 110, 110 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-078 - P/nsL.19-5-2: a point on a non-simple LineString's interior at a non-vertex overlapping line segments (float)" do a = "POINT(110.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,110.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-079 - P/nsL.19-5-3: a point on a non-simple LineString interior at a vertex with both crossing and overlapping line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (110 200, 110 110, 20 20, 200 20, 110 110, 110 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-079 - P/nsL.19-5-3: a point on a non-simple LineString interior at a vertex with both crossing and overlapping line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(110.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,110.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-080 - P/nsL.20-5-1: a point on a non-simple LineString's interior at a non-vertex with overlapping line segments" do a = "POINT (110 150)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 110 200, 110 110, 20 20, 200 20, 110 110, 110 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-080 - P/nsL.20-5-1: a point on a non-simple LineString's interior at a non-vertex with overlapping line segments (float)" do a = "POINT(110.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,110.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,110.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-081 - P/nsL.20-5-2: a point on a non-simple LineString's interior at a vertex with both crossing and overlapping line segments" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 110 200, 110 110, 20 20, 200 20, 110 110, 110 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-081 - P/nsL.20-5-2: a point on a non-simple LineString's interior at a vertex with both crossing and overlapping line segments (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,110.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,110.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-082 - P/nsl.20-5-3: a point on a non-simple LineString's interior at a vertex with both crossing and overlapping line segments" do a = "POINT (110 200)" |> Geo.WKT.decode!() b = "LINESTRING (20 200, 110 200, 110 110, 20 20, 200 20, 110 110, 110 200, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-082 - P/nsl.20-5-3: a point on a non-simple LineString's interior at a vertex with both crossing and overlapping line segments (float)" do a = "POINT(110.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 200.0,110.0 200.0,110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0,110.0 200.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-083 - mP/L-2-1: MultiPoint and a line disjoint (points on one side of the line)" do a = "MULTIPOINT (50 250, 90 220, 130 190)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-083 - mP/L-2-1: MultiPoint and a line disjoint (points on one side of the line) (float)" do a = "MULTIPOINT(50.0 250.0,90.0 220.0,130.0 190.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-084 - mP/L-2-2: MultiPoint and a line disjoint (points over the line but no intersection)" do a = "MULTIPOINT (180 180, 230 130, 280 80)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-084 - mP/L-2-2: MultiPoint and a line disjoint (points over the line but no intersection) (float)" do a = "MULTIPOINT(180.0 180.0,230.0 130.0,280.0 80.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-085 - mP/L-3-1: one of the points intersecting the start point of a line" do a = "MULTIPOINT (50 120, 90 80, 130 40)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-085 - mP/L-3-1: one of the points intersecting the start point of a line (float)" do a = "MULTIPOINT(50.0 120.0,90.0 80.0,130.0 40.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-086 - mP/L-3-2: one of the points intersecting the end point of a line" do a = "MULTIPOINT (300 280, 340 240, 380 200)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-086 - mP/L-3-2: one of the points intersecting the end point of a line (float)" do a = "MULTIPOINT(300.0 280.0,340.0 240.0,380.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-087 - mP/L-4-1: one of the points intersecting the interior of a line at a non-vertex (points on one side of the line)" do a = "MULTIPOINT (230 150, 260 120, 290 90)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-087 - mP/L-4-1: one of the points intersecting the interior of a line at a non-vertex (points on one side of the line) (float)" do a = "MULTIPOINT(230.0 150.0,260.0 120.0,290.0 90.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-088 - mP/L-4-2: one of the points intersecting the interior of a line at a non-vertex (points over the line)" do a = "MULTIPOINT (200 190, 240 150, 270 110)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-088 - mP/L-4-2: one of the points intersecting the interior of a line at a non-vertex (points over the line) (float)" do a = "MULTIPOINT(200.0 190.0,240.0 150.0,270.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-089 - mP/L-4-3: one of the points intersecting the interior of a line at a vertex (points on one side of the line)" do a = "MULTIPOINT (160 150, 190 120, 220 90)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-089 - mP/L-4-3: one of the points intersecting the interior of a line at a vertex (points on one side of the line) (float)" do a = "MULTIPOINT(160.0 150.0,190.0 120.0,220.0 90.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-090 - mP/L-4-4: one of the points intersecting the interior of a line at a vertex (points over the line)" do a = "MULTIPOINT (120 190, 160 150, 200 110)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-090 - mP/L-4-4: one of the points intersecting the interior of a line at a vertex (points over the line) (float)" do a = "MULTIPOINT(120.0 190.0,160.0 150.0,200.0 110.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-091 - mP/L-5-1: all the points on a line" do a = "MULTIPOINT (90 80, 160 150, 340 240)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-091 - mP/L-5-1: all the points on a line (float)" do a = "MULTIPOINT(90.0 80.0,160.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-092 - mP/L-5-2: all the points on a line" do a = "MULTIPOINT (90 80, 160 150, 300 150)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-092 - mP/L-5-2: all the points on a line (float)" do a = "MULTIPOINT(90.0 80.0,160.0 150.0,300.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-093 - mP/L-5-3: all the points on a line" do a = "MULTIPOINT (90 80, 160 150, 240 150)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-093 - mP/L-5-3: all the points on a line (float)" do a = "MULTIPOINT(90.0 80.0,160.0 150.0,240.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-094 - mP/L-5-4: all the points on a line" do a = "MULTIPOINT (90 80, 130 120, 210 150)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-094 - mP/L-5-4: all the points on a line (float)" do a = "MULTIPOINT(90.0 80.0,130.0 120.0,210.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-095 - mP/L-5-5: all the points on a line" do a = "MULTIPOINT (130 120, 210 150, 340 200)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-095 - mP/L-5-5: all the points on a line (float)" do a = "MULTIPOINT(130.0 120.0,210.0 150.0,340.0 200.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-096 - mP/L-5-6: all the points on a line" do a = "MULTIPOINT (160 150, 240 150, 340 210)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-096 - mP/L-5-6: all the points on a line (float)" do a = "MULTIPOINT(160.0 150.0,240.0 150.0,340.0 210.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-097 - mP/L-5-7: all the points on a line" do a = "MULTIPOINT (160 150, 300 150, 340 150)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-097 - mP/L-5-7: all the points on a line (float)" do a = "MULTIPOINT(160.0 150.0,300.0 150.0,340.0 150.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-098 - mP/L-5-8: all the points on a line" do a = "MULTIPOINT (160 150, 240 150, 340 240)" |> Geo.WKT.decode!() b = "LINESTRING (90 80, 160 150, 300 150, 340 150, 340 240)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "02-098 - mP/L-5-8: all the points on a line (float)" do a = "MULTIPOINT(160.0 150.0,240.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() b = "LINESTRING(90.0 80.0,160.0 150.0,300.0 150.0,340.0 150.0,340.0 240.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/point_line_b_test.exs ================================================ defmodule Intersect.Validation.PointLineBTest do use ExUnit.Case @tag :validation test "10-001 - mPL - points in I and E of line" do a = "MULTIPOINT (40 90, 20 20, 70 70)" |> Geo.WKT.decode!() b = "LINESTRING (20 20, 100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "10-001 - mPL - points in I and E of line (float)" do a = "MULTIPOINT(40.0 90.0,20.0 20.0,70.0 70.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 20.0,100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "10-002 - mPL - points in I and E of line, line self-intersecting" do a = "MULTIPOINT (40 90, 20 20, 70 70)" |> Geo.WKT.decode!() b = "LINESTRING (20 20, 110 110, 170 50, 130 10, 70 70)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "10-002 - mPL - points in I and E of line, line self-intersecting (float)" do a = "MULTIPOINT(40.0 90.0,20.0 20.0,70.0 70.0)" |> Geo.WKT.decode!() b = "LINESTRING(20.0 20.0,110.0 110.0,170.0 50.0,130.0 10.0,70.0 70.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "10-003 - mPmL - points in I, B and E of lines, lines overlap, points overlap" do a = "MULTILINESTRING ((100 320, 100 220),(100 180, 200 180),(220 180, 220 320),(220 320, 160 320),(100 320, 100 220),(100 180, 200 180),(220 180, 220 320),(220 320, 160 320),(100 220, 100 320))" |> Geo.WKT.decode!() b = "MULTIPOINT (100 320, 100 260, 100 220, 100 200, 100 180, 120 180, 200 180, 220 180, 220 260, 220 320, 200 320, 160 320, 140 320, 120 320, 100 320, 100 260, 100 220, 100 200, 100 180, 120 180, 200 180, 220 180, 220 260, 220 320, 200 320, 160 320, 140 320, 120 320)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "10-003 - mPmL - points in I, B and E of lines, lines overlap, points overlap (float)" do a = "MULTILINESTRING((100.0 320.0,100.0 220.0),(100.0 180.0,200.0 180.0),(220.0 180.0,220.0 320.0),(220.0 320.0,160.0 320.0),(100.0 320.0,100.0 220.0),(100.0 180.0,200.0 180.0),(220.0 180.0,220.0 320.0),(220.0 320.0,160.0 320.0),(100.0 220.0,100.0 320.0))" |> Geo.WKT.decode!() b = "MULTIPOINT(100.0 320.0,100.0 260.0,100.0 220.0,100.0 200.0,100.0 180.0,120.0 180.0,200.0 180.0,220.0 180.0,220.0 260.0,220.0 320.0,200.0 320.0,160.0 320.0,140.0 320.0,120.0 320.0,100.0 320.0,100.0 260.0,100.0 220.0,100.0 200.0,100.0 180.0,120.0 180.0,200.0 180.0,220.0 180.0,220.0 260.0,220.0 320.0,200.0 320.0,160.0 320.0,140.0 320.0,120.0 320.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "10-004 - mPmL - points in I, B and E of lines, lines overlap, points overlap, x <0, y < 0" do a = "MULTILINESTRING ((-500 -140, -500 -280, -320 -280, -320 -140, -500 -140, -500 -340),(-500 -140, -320 -140, -500 -140, -320 -140, -500 -140))" |> Geo.WKT.decode!() b = "MULTIPOINT (-560 -180, -420 -180, -500 -220, -500 -340, -500 -280, -500 -140, -320 -140, -420 -140, -320 -180, -280 -140, -320 -120, -560 -180, -420 -180, -500 -220, -500 -340, -500 -280, -500 -140, -320 -140, -420 -140, -320 -180, -280 -140, -320 -120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "10-004 - mPmL - points in I, B and E of lines, lines overlap, points overlap, x <0, y < 0 (float)" do a = "MULTILINESTRING((-500.0 -140.0,-500.0 -280.0,-320.0 -280.0,-320.0 -140.0,-500.0 -140.0,-500.0 -340.0),(-500.0 -140.0,-320.0 -140.0,-500.0 -140.0,-320.0 -140.0,-500.0 -140.0))" |> Geo.WKT.decode!() b = "MULTIPOINT(-560.0 -180.0,-420.0 -180.0,-500.0 -220.0,-500.0 -340.0,-500.0 -280.0,-500.0 -140.0,-320.0 -140.0,-420.0 -140.0,-320.0 -180.0,-280.0 -140.0,-320.0 -120.0,-560.0 -180.0,-420.0 -180.0,-500.0 -220.0,-500.0 -340.0,-500.0 -280.0,-500.0 -140.0,-320.0 -140.0,-420.0 -140.0,-320.0 -180.0,-280.0 -140.0,-320.0 -120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "10-006 - mPmL - points in I, B and E of lines, lines overlap, points overlap" do a = "MULTILINESTRING ((100 320, 100 220),(100 180, 200 180),(220 180, 220 320),(220 320, 160 320),(100 320, 100 220),(100 180, 200 180),(220 180, 220 320),(220 320, 160 320),(100 220, 100 320))" |> Geo.WKT.decode!() b = "MULTIPOINT (100 320, 100 260, 100 220, 100 200, 100 180, 120 180, 200 180, 220 180, 220 260, 220 320, 200 320, 160 320, 140 320, 120 320, 100 320, 100 260, 100 220, 100 200, 100 180, 120 180, 200 180, 220 180, 220 260, 220 320, 200 320, 160 320, 140 320, 120 320)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "10-006 - mPmL - points in I, B and E of lines, lines overlap, points overlap (float)" do a = "MULTILINESTRING((100.0 320.0,100.0 220.0),(100.0 180.0,200.0 180.0),(220.0 180.0,220.0 320.0),(220.0 320.0,160.0 320.0),(100.0 320.0,100.0 220.0),(100.0 180.0,200.0 180.0),(220.0 180.0,220.0 320.0),(220.0 320.0,160.0 320.0),(100.0 220.0,100.0 320.0))" |> Geo.WKT.decode!() b = "MULTIPOINT(100.0 320.0,100.0 260.0,100.0 220.0,100.0 200.0,100.0 180.0,120.0 180.0,200.0 180.0,220.0 180.0,220.0 260.0,220.0 320.0,200.0 320.0,160.0 320.0,140.0 320.0,120.0 320.0,100.0 320.0,100.0 260.0,100.0 220.0,100.0 200.0,100.0 180.0,120.0 180.0,200.0 180.0,220.0 180.0,220.0 260.0,220.0 320.0,200.0 320.0,160.0 320.0,140.0 320.0,120.0 320.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/point_line_precision_test.exs ================================================ defmodule Intersect.Validation.PointLinePrecisionTest do use ExUnit.Case @tag :validation test "15-001 - PP - Point just off line. Causes non-robust algorithms to fail." do a = "LINESTRING (-123456789 -40, 381039468754763 123456789)" |> Geo.WKT.decode!() b = "POINT (0 0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation @tag :skip test "15-001 - PP - Point just off line. Causes non-robust algorithms to fail. (float)" do a = "LINESTRING(-123456789.0 -40.0,381039468754763.0 123456789.0)" |> Geo.WKT.decode!() b = "POINT(0.0 0.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/point_point_a_test.exs ================================================ defmodule Intersect.Validation.PointPointATest do use ExUnit.Case @tag :validation test "01-001 - P/P: same point" do a = "POINT (20 20)" |> Geo.WKT.decode!() b = "POINT (20 20)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-001 - P/P: same point (float)" do a = "POINT(20.0 20.0)" |> Geo.WKT.decode!() b = "POINT(20.0 20.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-002 - P/P: different point" do a = "POINT (20 20)" |> Geo.WKT.decode!() b = "POINT (40 60)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-002 - P/P: different point (float)" do a = "POINT(20.0 20.0)" |> Geo.WKT.decode!() b = "POINT(40.0 60.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-003 - P/mP: different points" do a = "POINT (40 40)" |> Geo.WKT.decode!() b = "MULTIPOINT (20 20, 80 80, 20 120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-003 - P/mP: different points (float)" do a = "POINT(40.0 40.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(20.0 20.0,80.0 80.0,20.0 120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-004 - P/mP: point A within one of B points" do a = "POINT (20 20)" |> Geo.WKT.decode!() b = "MULTIPOINT (20 20, 80 80, 20 120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-004 - P/mP: point A within one of B points (float)" do a = "POINT(20.0 20.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(20.0 20.0,80.0 80.0,20.0 120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-005 - mP/mP-1-1: same points" do a = "MULTIPOINT (40 40, 80 60, 120 100)" |> Geo.WKT.decode!() b = "MULTIPOINT (40 40, 80 60, 120 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-005 - mP/mP-1-1: same points (float)" do a = "MULTIPOINT(40.0 40.0,80.0 60.0,120.0 100.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(40.0 40.0,80.0 60.0,120.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-006 - mP/mP-1-2: same but different sequence of points" do a = "MULTIPOINT (40 40, 80 60, 120 100)" |> Geo.WKT.decode!() b = "MULTIPOINT (40 40, 120 100, 80 60)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-006 - mP/mP-1-2: same but different sequence of points (float)" do a = "MULTIPOINT(40.0 40.0,80.0 60.0,120.0 100.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(40.0 40.0,120.0 100.0,80.0 60.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-007 - mP/mP-2: different points" do a = "MULTIPOINT (40 40, 60 100, 100 60, 120 120)" |> Geo.WKT.decode!() b = "MULTIPOINT (20 120, 60 60, 100 100, 140 40)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-007 - mP/mP-2: different points (float)" do a = "MULTIPOINT(40.0 40.0,60.0 100.0,100.0 60.0,120.0 120.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(20.0 120.0,60.0 60.0,100.0 100.0,140.0 40.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-008 - mP/mP-5-1: same points" do a = "MULTIPOINT (20 20, 80 70, 140 120, 200 170)" |> Geo.WKT.decode!() b = "MULTIPOINT (20 20, 80 70, 140 120, 200 170)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-008 - mP/mP-5-1: same points (float)" do a = "MULTIPOINT(20.0 20.0,80.0 70.0,140.0 120.0,200.0 170.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(20.0 20.0,80.0 70.0,140.0 120.0,200.0 170.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-009 - mP/mP-5-2: same points but different sequence" do a = "MULTIPOINT (20 20, 140 120, 80 70, 200 170)" |> Geo.WKT.decode!() b = "MULTIPOINT (80 70, 20 20, 200 170, 140 120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-009 - mP/mP-5-2: same points but different sequence (float)" do a = "MULTIPOINT(20.0 20.0,140.0 120.0,80.0 70.0,200.0 170.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(80.0 70.0,20.0 20.0,200.0 170.0,140.0 120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "01-010 - mP/mP-5-3: some points same" do a = "MULTIPOINT (20 20, 80 70, 140 120, 200 170)" |> Geo.WKT.decode!() b = "MULTIPOINT (80 70, 140 120)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-010 - mP/mP-5-3: some points same (float)" do a = "MULTIPOINT(20.0 20.0,80.0 70.0,140.0 120.0,200.0 170.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(80.0 70.0,140.0 120.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-011 - mP/mP-5-4: some points same, in a different sequence" do a = "MULTIPOINT (80 70, 20 20, 200 170, 140 120)" |> Geo.WKT.decode!() b = "MULTIPOINT (140 120, 80 70)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-011 - mP/mP-5-4: some points same, in a different sequence (float)" do a = "MULTIPOINT(80.0 70.0,20.0 20.0,200.0 170.0,140.0 120.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(140.0 120.0,80.0 70.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-012 - mP/mP-6-1: some points same, some different" do a = "MULTIPOINT (80 70, 20 20, 200 170, 140 120)" |> Geo.WKT.decode!() b = "MULTIPOINT (80 170, 140 120, 200 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-012 - mP/mP-6-1: some points same, some different (float)" do a = "MULTIPOINT(80.0 70.0,20.0 20.0,200.0 170.0,140.0 120.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(80.0 170.0,140.0 120.0,200.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-013 - mP/mP-6-2: dim(0){A.4P1.Int = B.4P4.Int}, dim(0){A.4P4.Int = B.4P2.Int}" do a = "MULTIPOINT (80 70, 20 20, 200 170, 140 120)" |> Geo.WKT.decode!() b = "MULTIPOINT (80 170, 140 120, 200 80, 80 70)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "01-013 - mP/mP-6-2: dim(0){A.4P1.Int = B.4P4.Int}, dim(0){A.4P4.Int = B.4P2.Int} (float)" do a = "MULTIPOINT(80.0 70.0,20.0 20.0,200.0 170.0,140.0 120.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(80.0 170.0,140.0 120.0,200.0 80.0,80.0 70.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/point_point_b_test.exs ================================================ defmodule Intersect.Validation.PointPointBTest do use ExUnit.Case @tag :validation test "09-001 - PP - point contained in both A and B" do a = "POINT (100 100)" |> Geo.WKT.decode!() b = "POINT (100 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "09-001 - PP - point contained in both A and B (float)" do a = "POINT(100.0 100.0)" |> Geo.WKT.decode!() b = "POINT(100.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "09-002 - PP - A different from B" do a = "POINT (100 100)" |> Geo.WKT.decode!() b = "POINT (200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-002 - PP - A different from B (float)" do a = "POINT(100.0 100.0)" |> Geo.WKT.decode!() b = "POINT(200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-003 - PmP - point in A contained in B" do a = "POINT (100 100)" |> Geo.WKT.decode!() b = "MULTIPOINT (100 100, 200 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-003 - PmP - point in A contained in B (float)" do a = "POINT(100.0 100.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(100.0 100.0,200.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-004 - mPmP - points in A only, B only, and in both" do a = "MULTIPOINT (100 100, 200 200, 300 300, 500 500)" |> Geo.WKT.decode!() b = "MULTIPOINT (100 100, 200 200, 400 400, 600 600)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-004 - mPmP - points in A only, B only, and in both (float)" do a = "MULTIPOINT(100.0 100.0,200.0 200.0,300.0 300.0,500.0 500.0)" |> Geo.WKT.decode!() b = "MULTIPOINT(100.0 100.0,200.0 200.0,400.0 400.0,600.0 600.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-005 - PP - point contained in both A and B" do a = "POINT (80 200)" |> Geo.WKT.decode!() b = "POINT (80 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "09-005 - PP - point contained in both A and B (float)" do a = "POINT(80.0 200.0)" |> Geo.WKT.decode!() b = "POINT(80.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "09-006 - PP - A different from B" do a = "POINT (80 200)" |> Geo.WKT.decode!() b = "POINT (260 80)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-006 - PP - A different from B (float)" do a = "POINT(80.0 200.0)" |> Geo.WKT.decode!() b = "POINT(260.0 80.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-007 - PP - A different from B, same y" do a = "POINT (60 260)" |> Geo.WKT.decode!() b = "POINT (120 260)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-007 - PP - A different from B, same y (float)" do a = "POINT(60.0 260.0)" |> Geo.WKT.decode!() b = "POINT(120.0 260.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-008 - PP - A different from B, same x" do a = "POINT (80 80)" |> Geo.WKT.decode!() b = "POINT (80 280)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "09-008 - PP - A different from B, same x (float)" do a = "POINT(80.0 80.0)" |> Geo.WKT.decode!() b = "POINT(80.0 280.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/point_polygon_a_test.exs ================================================ defmodule Intersect.Validation.PointPolygonATest do use ExUnit.Case @tag :validation test "03-001 - P/A-2-1: a point outside a polygon" do a = "POINT (20 20)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-001 - P/A-2-1: a point outside a polygon (float)" do a = "POINT(20.0 20.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-002 - P/A-2-2: a point outside a converx polygon" do a = "POINT (70 170)" |> Geo.WKT.decode!() b = "POLYGON ((110 230, 80 160, 20 160, 20 20, 200 20, 200 160, 140 160, 110 230))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-002 - P/A-2-2: a point outside a converx polygon (float)" do a = "POINT(70.0 170.0)" |> Geo.WKT.decode!() b = "POLYGON((110.0 230.0,80.0 160.0,20.0 160.0,20.0 20.0,200.0 20.0,200.0 160.0,140.0 160.0,110.0 230.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-003 - P/A-2-3: a point outside a concave polygon" do a = "POINT (110 130)" |> Geo.WKT.decode!() b = "POLYGON ((20 160, 80 160, 110 100, 140 160, 200 160, 200 20, 20 20, 20 160))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-003 - P/A-2-3: a point outside a concave polygon (float)" do a = "POINT(110.0 130.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 160.0,80.0 160.0,110.0 100.0,140.0 160.0,200.0 160.0,200.0 20.0,20.0 20.0,20.0 160.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-004 - P/A-2-4: dim(0){A.P.Int = B.A.Ext}" do a = "POINT (100 70)" |> Geo.WKT.decode!() b = "POLYGON ((20 150, 100 150, 40 50, 170 50, 110 150, 190 150, 190 20, 20 20, 20 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-004 - P/A-2-4: dim(0){A.P.Int = B.A.Ext} (float)" do a = "POINT(100.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 150.0,100.0 150.0,40.0 50.0,170.0 50.0,110.0 150.0,190.0 150.0,190.0 20.0,20.0 20.0,20.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-005 - P/A-2-5: a point outside a concave polygon" do a = "POINT (100 70)" |> Geo.WKT.decode!() b = "POLYGON ((20 150, 100 150, 40 50, 160 50, 100 150, 180 150, 180 20, 20 20, 20 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-005 - P/A-2-5: a point outside a concave polygon (float)" do a = "POINT(100.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 150.0,100.0 150.0,40.0 50.0,160.0 50.0,100.0 150.0,180.0 150.0,180.0 20.0,20.0 20.0,20.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-006 - P/A-3-1: a point on the closing point of a polygon" do a = "POINT (60 120)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-006 - P/A-3-1: a point on the closing point of a polygon (float)" do a = "POINT(60.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-007 - P/A-3-2: a point on the boudary of a polygon at a non-vertex" do a = "POINT (110 120)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-007 - P/A-3-2: a point on the boudary of a polygon at a non-vertex (float)" do a = "POINT(110.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-008 - P/A-3-3: a point on the boundary of a polygon at a vertex" do a = "POINT (160 120)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-008 - P/A-3-3: a point on the boundary of a polygon at a vertex (float)" do a = "POINT(160.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-009 - P/A-3-4: a point on the touching point of boudary" do a = "POINT (100 150)" |> Geo.WKT.decode!() b = "POLYGON ((20 150, 100 150, 40 50, 160 50, 100 150, 180 150, 180 20, 20 20, 20 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-009 - P/A-3-4: a point on the touching point of boudary (float)" do a = "POINT(100.0 150.0)" |> Geo.WKT.decode!() b = "POLYGON((20.0 150.0,100.0 150.0,40.0 50.0,160.0 50.0,100.0 150.0,180.0 150.0,180.0 20.0,20.0 20.0,20.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-010 - P/A-5: a point on the interior of a polygon" do a = "POINT (100 80)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-010 - P/A-5: a point on the interior of a polygon (float)" do a = "POINT(100.0 80.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-011 - P/Ah-2-1: a point outside of polygon with a hole" do a = "POINT (60 160)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-011 - P/Ah-2-1: a point outside of polygon with a hole (float)" do a = "POINT(60.0 160.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-012 - P/Ah-2-2: a point inside the hole of the polygon" do a = "POINT (190 90)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-012 - P/Ah-2-2: a point inside the hole of the polygon (float)" do a = "POINT(190.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-013 - P/Ah-3-1: a point on the closing point of the outer boundary of a polygon with a hole" do a = "POINT (190 190)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-013 - P/Ah-3-1: a point on the closing point of the outer boundary of a polygon with a hole (float)" do a = "POINT(190.0 190.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-014 - P/Ah-3-2: a point on the outer boundary of a polygon at a vertex" do a = "POINT (360 20)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-014 - P/Ah-3-2: a point on the outer boundary of a polygon at a vertex (float)" do a = "POINT(360.0 20.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-015 - P/Ah-3-3: a point on the outer boundary of a polygon at a non-vertex" do a = "POINT (130 130)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-015 - P/Ah-3-3: a point on the outer boundary of a polygon at a non-vertex (float)" do a = "POINT(130.0 130.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-016 - P/Ah-3-4: a point on the closing point of the inner boundary of a polygon" do a = "POINT (280 50)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-016 - P/Ah-3-4: a point on the closing point of the inner boundary of a polygon (float)" do a = "POINT(280.0 50.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-017 - P/Ah-3-5: a point on the inner boundary of a polygon at a non-vertex" do a = "POINT (150 100)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-017 - P/Ah-3-5: a point on the inner boundary of a polygon at a non-vertex (float)" do a = "POINT(150.0 100.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-018 - P/Ah-3-6: a point on the inner boundary of a polygon at a vertex" do a = "POINT (100 50)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-018 - P/Ah-3-6: a point on the inner boundary of a polygon at a vertex (float)" do a = "POINT(100.0 50.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-019 - P/Ah-5: a point inside the interior of a polygon with a hole" do a = "POINT (140 120)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-019 - P/Ah-5: a point inside the interior of a polygon with a hole (float)" do a = "POINT(140.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-020 - P/A2h-3-1: a point on the touching point of two holes in a polygon" do a = "POINT (190 50)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(90 50, 150 110, 190 50, 90 50),(190 50, 230 110, 290 50, 190 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-020 - P/A2h-3-1: a point on the touching point of two holes in a polygon (float)" do a = "POINT(190.0 50.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(90.0 50.0,150.0 110.0,190.0 50.0,90.0 50.0),(190.0 50.0,230.0 110.0,290.0 50.0,190.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-021 - P/A2h-3-2: a point on the touching point of two holes in a polygon" do a = "POINT (180 90)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(180 140, 180 40, 80 40, 180 140),(180 90, 210 140, 310 40, 230 40, 180 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-021 - P/A2h-3-2: a point on the touching point of two holes in a polygon (float)" do a = "POINT(180.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(180.0 140.0,180.0 40.0,80.0 40.0,180.0 140.0),(180.0 90.0,210.0 140.0,310.0 40.0,230.0 40.0,180.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-022 - mP/A-2: 3 points outside a polygon" do a = "MULTIPOINT (20 80, 110 160, 20 160)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-022 - mP/A-2: 3 points outside a polygon (float)" do a = "MULTIPOINT(20.0 80.0,110.0 160.0,20.0 160.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-023 - mP/A-3-1: one of 3 points on the closing point of the boundary of a polygon" do a = "MULTIPOINT (20 80, 60 120, 20 160)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-023 - mP/A-3-1: one of 3 points on the closing point of the boundary of a polygon (float)" do a = "MULTIPOINT(20.0 80.0,60.0 120.0,20.0 160.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-024 - mP/A-3-2: one of 3 points on the boundary of a polygon at a non-vertex" do a = "MULTIPOINT (10 80, 110 170, 110 120)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-024 - mP/A-3-2: one of 3 points on the boundary of a polygon at a non-vertex (float)" do a = "MULTIPOINT(10.0 80.0,110.0 170.0,110.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-025 - mP/A-3-3: one of 3 points on the boundary of a polygon at a vertex" do a = "MULTIPOINT (10 80, 110 170, 160 120)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-025 - mP/A-3-3: one of 3 points on the boundary of a polygon at a vertex (float)" do a = "MULTIPOINT(10.0 80.0,110.0 170.0,160.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-026 - mP/A-3-4: 3 of the 5 points on the boundary of a polygon" do a = "MULTIPOINT (20 120, 60 120, 110 120, 160 120, 200 120)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-026 - mP/A-3-4: 3 of the 5 points on the boundary of a polygon (float)" do a = "MULTIPOINT(20.0 120.0,60.0 120.0,110.0 120.0,160.0 120.0,200.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-027 - mP/A-3-5: all 3 points on the boundary of a polygon" do a = "MULTIPOINT (60 120, 110 120, 160 120)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-027 - mP/A-3-5: all 3 points on the boundary of a polygon (float)" do a = "MULTIPOINT(60.0 120.0,110.0 120.0,160.0 120.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-028 - mP/A-3-6: all 4 points on the boundary of a polygon" do a = "MULTIPOINT (60 120, 160 120, 160 40, 60 40)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-028 - mP/A-3-6: all 4 points on the boundary of a polygon (float)" do a = "MULTIPOINT(60.0 120.0,160.0 120.0,160.0 40.0,60.0 40.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-029 - mP/A-4-1: 1 point outside a polygon, 1 point on the boundary and 1 point inside" do a = "MULTIPOINT (20 150, 60 120, 110 80)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-029 - mP/A-4-1: 1 point outside a polygon, 1 point on the boundary and 1 point inside (float)" do a = "MULTIPOINT(20.0 150.0,60.0 120.0,110.0 80.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-030 - mP/A-4-2: 1 point outside a polygon, 1 point on the boundary and 1 point inside" do a = "MULTIPOINT (110 80, 160 120, 200 160)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-030 - mP/A-4-2: 1 point outside a polygon, 1 point on the boundary and 1 point inside (float)" do a = "MULTIPOINT(110.0 80.0,160.0 120.0,200.0 160.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-031 - mP/A-4-3: 1 point outside a polygon, 1 point on the boundary and 1 point inside" do a = "MULTIPOINT (110 80, 110 120, 110 160)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-031 - mP/A-4-3: 1 point outside a polygon, 1 point on the boundary and 1 point inside (float)" do a = "MULTIPOINT(110.0 80.0,110.0 120.0,110.0 160.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-032 - mP/A-4-4: 1 point outside a polygon, 1 point inside" do a = "MULTIPOINT (110 170, 110 80)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-032 - mP/A-4-4: 1 point outside a polygon, 1 point inside (float)" do a = "MULTIPOINT(110.0 170.0,110.0 80.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-033 - mP/A-4-5: 1 point outside a polygon, 2 points on the boundary and 1 point inside" do a = "MULTIPOINT (60 120, 160 120, 110 80, 110 170)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-033 - mP/A-4-5: 1 point outside a polygon, 2 points on the boundary and 1 point inside (float)" do a = "MULTIPOINT(60.0 120.0,160.0 120.0,110.0 80.0,110.0 170.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-034 - mP/A-5-1: 2 points within a polygon" do a = "MULTIPOINT (90 80, 130 80)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-034 - mP/A-5-1: 2 points within a polygon (float)" do a = "MULTIPOINT(90.0 80.0,130.0 80.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-035 - mP/A-5-2: 1 point on the boundary and 1 point inside a polygon" do a = "MULTIPOINT (60 120, 160 120, 110 80)" |> Geo.WKT.decode!() b = "POLYGON ((60 120, 60 40, 160 40, 160 120, 60 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-035 - mP/A-5-2: 1 point on the boundary and 1 point inside a polygon (float)" do a = "MULTIPOINT(60.0 120.0,160.0 120.0,110.0 80.0)" |> Geo.WKT.decode!() b = "POLYGON((60.0 120.0,60.0 40.0,160.0 40.0,160.0 120.0,60.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-036 - mP/Ah-2-1: 3 points outside a polygon" do a = "MULTIPOINT (40 170, 40 90, 130 170)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-036 - mP/Ah-2-1: 3 points outside a polygon (float)" do a = "MULTIPOINT(40.0 170.0,40.0 90.0,130.0 170.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-037 - mP/Ah-2-2: 2 points outside a polygon and 1 point inside the hole of the polygon" do a = "MULTIPOINT (90 170, 280 170, 190 90)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-037 - mP/Ah-2-2: 2 points outside a polygon and 1 point inside the hole of the polygon (float)" do a = "MULTIPOINT(90.0 170.0,280.0 170.0,190.0 90.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-038 - mP/Ah-2-3: all 3 points in polygon's hole" do a = "MULTIPOINT (190 110, 150 70, 230 70)" |> Geo.WKT.decode!() b = "POLYGON ((190 190, 360 20, 20 20, 190 190),(280 50, 100 50, 190 140, 280 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-038 - mP/Ah-2-3: all 3 points in polygon's hole (float)" do a = "MULTIPOINT(190.0 110.0,150.0 70.0,230.0 70.0)" |> Geo.WKT.decode!() b = "POLYGON((190.0 190.0,360.0 20.0,20.0 20.0,190.0 190.0),(280.0 50.0,100.0 50.0,190.0 140.0,280.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-039 - P/mA-3-1: a point on the touching point of two polygons" do a = "POINT (100 100)" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((20 100, 20 20, 100 20, 100 100, 20 100)),((100 180, 100 100, 180 100, 180 180, 100 180)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-039 - P/mA-3-1: a point on the touching point of two polygons (float)" do a = "POINT(100.0 100.0)" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((20.0 100.0,20.0 20.0,100.0 20.0,100.0 100.0,20.0 100.0)),((100.0 180.0,100.0 100.0,180.0 100.0,180.0 180.0,100.0 180.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-040 - P/mA-3-2: a point on the boundary of one of the 2 polygons" do a = "POINT (20 100)" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((20 100, 20 20, 100 20, 100 100, 20 100)),((100 180, 100 100, 180 100, 180 180, 100 180)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-040 - P/mA-3-2: a point on the boundary of one of the 2 polygons (float)" do a = "POINT(20.0 100.0)" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((20.0 100.0,20.0 20.0,100.0 20.0,100.0 100.0,20.0 100.0)),((100.0 180.0,100.0 100.0,180.0 100.0,180.0 180.0,100.0 180.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-041 - P/mA-3-3: a point on the boundary of one of the 2 polygons" do a = "POINT (60 100)" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((20 100, 20 20, 100 20, 100 100, 20 100)),((100 180, 100 100, 180 100, 180 180, 100 180)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-041 - P/mA-3-3: a point on the boundary of one of the 2 polygons (float)" do a = "POINT(60.0 100.0)" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((20.0 100.0,20.0 20.0,100.0 20.0,100.0 100.0,20.0 100.0)),((100.0 180.0,100.0 100.0,180.0 100.0,180.0 180.0,100.0 180.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-042 - P/mA-3-4: a point touching a polygon's boundary where the boundaries touch at a point" do a = "POINT (110 110)" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 20 200, 200 200, 110 110),(110 110, 80 180, 140 180, 110 110)),((110 110, 20 20, 200 20, 110 110),(110 110, 80 40, 140 40, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "03-042 - P/mA-3-4: a point touching a polygon's boundary where the boundaries touch at a point (float)" do a = "POINT(110.0 110.0)" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,20.0 200.0,200.0 200.0,110.0 110.0),(110.0 110.0,80.0 180.0,140.0 180.0,110.0 110.0)),((110.0 110.0,20.0 20.0,200.0 20.0,110.0 110.0),(110.0 110.0,80.0 40.0,140.0 40.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/point_polygon_b_test.exs ================================================ defmodule Intersect.Validation.PointPolygonBTest do use ExUnit.Case @tag :validation test "11-001 - PA - point contained in simple polygon" do a = "POINT (100 100)" |> Geo.WKT.decode!() b = "POLYGON ((50 50, 200 50, 200 200, 50 200, 50 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "11-001 - PA - point contained in simple polygon (float)" do a = "POINT(100.0 100.0)" |> Geo.WKT.decode!() b = "POLYGON((50.0 50.0,200.0 50.0,200.0 200.0,50.0 200.0,50.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "11-002 - mPmA - points on I, B and E of touching triangles" do a = "MULTIPOLYGON (((120 320, 180 200, 240 320, 120 320)),((180 200, 240 80, 300 200, 180 200)))" |> Geo.WKT.decode!() b = "MULTIPOINT (120 320, 180 260, 180 320, 180 200, 300 200, 200 220)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "11-002 - mPmA - points on I, B and E of touching triangles (float)" do a = "MULTIPOLYGON(((120.0 320.0,180.0 200.0,240.0 320.0,120.0 320.0)),((180.0 200.0,240.0 80.0,300.0 200.0,180.0 200.0)))" |> Geo.WKT.decode!() b = "MULTIPOINT(120.0 320.0,180.0 260.0,180.0 320.0,180.0 200.0,300.0 200.0,200.0 220.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "11-003 - mPmA - points on I, B and E of concentric doughnuts" do a = "MULTIPOLYGON (((120 80, 420 80, 420 340, 120 340, 120 80),(160 300, 160 120, 380 120, 380 300, 160 300)),((200 260, 200 160, 340 160, 340 260, 200 260),(240 220, 240 200, 300 200, 300 220, 240 220)))" |> Geo.WKT.decode!() b = "MULTIPOINT (200 360, 420 340, 400 100, 340 120, 200 140, 200 160, 220 180, 260 200, 200 360, 420 340, 400 100, 340 120, 200 140, 200 160, 220 180, 260 200)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "11-003 - mPmA - points on I, B and E of concentric doughnuts (float)" do a = "MULTIPOLYGON(((120.0 80.0,420.0 80.0,420.0 340.0,120.0 340.0,120.0 80.0),(160.0 300.0,160.0 120.0,380.0 120.0,380.0 300.0,160.0 300.0)),((200.0 260.0,200.0 160.0,340.0 160.0,340.0 260.0,200.0 260.0),(240.0 220.0,240.0 200.0,300.0 200.0,300.0 220.0,240.0 220.0)))" |> Geo.WKT.decode!() b = "MULTIPOINT(200.0 360.0,420.0 340.0,400.0 100.0,340.0 120.0,200.0 140.0,200.0 160.0,220.0 180.0,260.0 200.0,200.0 360.0,420.0 340.0,400.0 100.0,340.0 120.0,200.0 140.0,200.0 160.0,220.0 180.0,260.0 200.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/polygon_complex_a_test.exs ================================================ defmodule Intersect.Validation.PolygonComplexATest do use ExUnit.Case @tag :validation test "08-001 - AC A-shells overlapping B-shell at A-vertex" do a = "POLYGON ((100 60, 140 100, 100 140, 60 100, 100 60))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((80 40, 120 40, 120 80, 80 80, 80 40)),((120 80, 160 80, 160 120, 120 120, 120 80)),((80 120, 120 120, 120 160, 80 160, 80 120)),((40 80, 80 80, 80 120, 40 120, 40 80)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "08-001 - AC A-shells overlapping B-shell at A-vertex (float)" do a = "POLYGON((100.0 60.0,140.0 100.0,100.0 140.0,60.0 100.0,100.0 60.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((80.0 40.0,120.0 40.0,120.0 80.0,80.0 80.0,80.0 40.0)),((120.0 80.0,160.0 80.0,160.0 120.0,120.0 120.0,120.0 80.0)),((80.0 120.0,120.0 120.0,120.0 160.0,80.0 160.0,80.0 120.0)),((40.0 80.0,80.0 80.0,80.0 120.0,40.0 120.0,40.0 80.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/polygon_polygon_a_test.exs ================================================ defmodule Intersect.Validation.PolygonPolygonATest do use ExUnit.Case @tag :validation test "07-001 - A/A-1-1: same polygons" do a = "POLYGON ((20 20, 20 100, 120 100, 140 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 20 100, 120 100, 140 20, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-001 - A/A-1-1: same polygons (float)" do a = "POLYGON((20.0 20.0,20.0 100.0,120.0 100.0,140.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,20.0 100.0,120.0 100.0,140.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-002 - A/A-1-2: same polygons with reverse sequence of points" do a = "POLYGON ((20 20, 20 100, 120 100, 140 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 140 20, 120 100, 20 100, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-002 - A/A-1-2: same polygons with reverse sequence of points (float)" do a = "POLYGON((20.0 20.0,20.0 100.0,120.0 100.0,140.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,140.0 20.0,120.0 100.0,20.0 100.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-003 - A/A-1-3: same polygons with different sequence of points" do a = "POLYGON ((20 20, 20 100, 120 100, 140 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((120 100, 140 20, 20 20, 20 100, 120 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-003 - A/A-1-3: same polygons with different sequence of points (float)" do a = "POLYGON((20.0 20.0,20.0 100.0,120.0 100.0,140.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((120.0 100.0,140.0 20.0,20.0 20.0,20.0 100.0,120.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-004 - A/A-1-4: same polygons with different number of points" do a = "POLYGON ((20 20, 20 100, 120 100, 140 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 100, 60 100, 120 100, 140 20, 80 20, 20 20, 20 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-004 - A/A-1-4: same polygons with different number of points (float)" do a = "POLYGON((20.0 20.0,20.0 100.0,120.0 100.0,140.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 100.0,60.0 100.0,120.0 100.0,140.0 20.0,80.0 20.0,20.0 20.0,20.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-005 - A/A-2: different polygons" do a = "POLYGON ((0 0, 80 0, 80 80, 0 80, 0 0))" |> Geo.WKT.decode!() b = "POLYGON ((100 200, 100 140, 180 140, 180 200, 100 200))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-005 - A/A-2: different polygons (float)" do a = "POLYGON((0.0 0.0,80.0 0.0,80.0 80.0,0.0 80.0,0.0 0.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 200.0,100.0 140.0,180.0 140.0,180.0 200.0,100.0 200.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == false assert Topo.intersects?(b, a) == false assert Topo.disjoint?(a, b) == true assert Topo.disjoint?(b, a) == true assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-006 - A/A-3-1-1: the closing point of a polygon touching the closing point of another polygon" do a = "POLYGON ((140 120, 160 20, 20 20, 20 120, 140 120))" |> Geo.WKT.decode!() b = "POLYGON ((140 120, 140 200, 240 200, 240 120, 140 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-006 - A/A-3-1-1: the closing point of a polygon touching the closing point of another polygon (float)" do a = "POLYGON((140.0 120.0,160.0 20.0,20.0 20.0,20.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((140.0 120.0,140.0 200.0,240.0 200.0,240.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-007 - A/A-3-1-2: the closing point of a polygon touching the boundary (at a non-vertex) of another polygon" do a = "POLYGON ((140 120, 160 20, 20 20, 20 120, 140 120))" |> Geo.WKT.decode!() b = "POLYGON ((80 180, 140 260, 260 200, 200 60, 80 180))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-007 - A/A-3-1-2: the closing point of a polygon touching the boundary (at a non-vertex) of another polygon (float)" do a = "POLYGON((140.0 120.0,160.0 20.0,20.0 20.0,20.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((80.0 180.0,140.0 260.0,260.0 200.0,200.0 60.0,80.0 180.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-008 - A/A-3-1-3: the closing point of a polygon touching the boundary (at a vertex) of another polygon" do a = "POLYGON ((140 120, 160 20, 20 20, 20 120, 140 120))" |> Geo.WKT.decode!() b = "POLYGON ((240 80, 140 120, 180 240, 280 200, 240 80))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-008 - A/A-3-1-3: the closing point of a polygon touching the boundary (at a vertex) of another polygon (float)" do a = "POLYGON((140.0 120.0,160.0 20.0,20.0 20.0,20.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((240.0 80.0,140.0 120.0,180.0 240.0,280.0 200.0,240.0 80.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-009 - A/A-3-1-4: the boundary (at a non-vertex) of a polygon touching the closing point of another polygon" do a = "POLYGON ((140 160, 20 20, 270 20, 150 160, 230 40, 60 40, 140 160))" |> Geo.WKT.decode!() b = "POLYGON ((140 40, 180 80, 120 100, 140 40))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-009 - A/A-3-1-4: the boundary (at a non-vertex) of a polygon touching the closing point of another polygon (float)" do a = "POLYGON((140.0 160.0,20.0 20.0,270.0 20.0,150.0 160.0,230.0 40.0,60.0 40.0,140.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((140.0 40.0,180.0 80.0,120.0 100.0,140.0 40.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-010 - A/A-3-1-5: the boundary (at a non-vertex) of a polygon touching the boundary (at a vertex) of another polygon" do a = "POLYGON ((140 160, 20 20, 270 20, 150 160, 230 40, 60 40, 140 160))" |> Geo.WKT.decode!() b = "POLYGON ((120 100, 180 80, 130 40, 120 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-010 - A/A-3-1-5: the boundary (at a non-vertex) of a polygon touching the boundary (at a vertex) of another polygon (float)" do a = "POLYGON((140.0 160.0,20.0 20.0,270.0 20.0,150.0 160.0,230.0 40.0,60.0 40.0,140.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((120.0 100.0,180.0 80.0,130.0 40.0,120.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-011 - A/A-3-1-6: the boundary (at a vertex) of a polygon touching the boundary (at a non-vertex) of another polygon" do a = "POLYGON ((20 20, 180 20, 140 140, 20 140, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((180 100, 80 200, 180 280, 260 200, 180 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-011 - A/A-3-1-6: the boundary (at a vertex) of a polygon touching the boundary (at a non-vertex) of another polygon (float)" do a = "POLYGON((20.0 20.0,180.0 20.0,140.0 140.0,20.0 140.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((180.0 100.0,80.0 200.0,180.0 280.0,260.0 200.0,180.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-012 - A/A-3-1-7: the boundary (at a vertex) of a polygon touching the boundary (at a vertex) of another polygon" do a = "POLYGON ((140 120, 160 20, 20 20, 20 120, 140 120))" |> Geo.WKT.decode!() b = "POLYGON ((140 140, 20 120, 0 220, 120 240, 140 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-012 - A/A-3-1-7: the boundary (at a vertex) of a polygon touching the boundary (at a vertex) of another polygon (float)" do a = "POLYGON((140.0 120.0,160.0 20.0,20.0 20.0,20.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((140.0 140.0,20.0 120.0,0.0 220.0,120.0 240.0,140.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-013 - A/A-3-1-8: the closing point of a polygon touching the boundary of another polygon where the closing point touching the boundary at a vertex" do a = "POLYGON ((160 200, 210 70, 120 70, 160 200))" |> Geo.WKT.decode!() b = "POLYGON ((160 200, 260 40, 70 40, 160 200, 20 20, 310 20, 160 200))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-013 - A/A-3-1-8: the closing point of a polygon touching the boundary of another polygon where the closing point touching the boundary at a vertex (float)" do a = "POLYGON((160.0 200.0,210.0 70.0,120.0 70.0,160.0 200.0))" |> Geo.WKT.decode!() b = "POLYGON((160.0 200.0,260.0 40.0,70.0 40.0,160.0 200.0,20.0 20.0,310.0 20.0,160.0 200.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-014 - A/A-3-1-9: the closing point of a polygon touching the boundary of another polygon where the closing point intersecting the boundary at a non-vertex" do a = "POLYGON ((110 140, 200 70, 200 160, 110 140))" |> Geo.WKT.decode!() b = "POLYGON ((110 140, 110 50, 60 50, 60 90, 160 190, 20 110, 20 20, 200 20, 110 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-014 - A/A-3-1-9: the closing point of a polygon touching the boundary of another polygon where the closing point intersecting the boundary at a non-vertex (float)" do a = "POLYGON((110.0 140.0,200.0 70.0,200.0 160.0,110.0 140.0))" |> Geo.WKT.decode!() b = "POLYGON((110.0 140.0,110.0 50.0,60.0 50.0,60.0 90.0,160.0 190.0,20.0 110.0,20.0 20.0,200.0 20.0,110.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-015 - A/A-3-2-1: two polygons touching at multiple points" do a = "POLYGON ((20 120, 20 20, 260 20, 260 120, 200 40, 140 120, 80 40, 20 120))" |> Geo.WKT.decode!() b = "POLYGON ((20 120, 20 240, 260 240, 260 120, 200 200, 140 120, 80 200, 20 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-015 - A/A-3-2-1: two polygons touching at multiple points (float)" do a = "POLYGON((20.0 120.0,20.0 20.0,260.0 20.0,260.0 120.0,200.0 40.0,140.0 120.0,80.0 40.0,20.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 120.0,20.0 240.0,260.0 240.0,260.0 120.0,200.0 200.0,140.0 120.0,80.0 200.0,20.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-016 - A/A-3-2-2: two polygons touching at multiple points" do a = "POLYGON ((20 120, 20 20, 260 20, 260 120, 180 40, 140 120, 100 40, 20 120))" |> Geo.WKT.decode!() b = "POLYGON ((20 120, 300 120, 140 240, 20 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-016 - A/A-3-2-2: two polygons touching at multiple points (float)" do a = "POLYGON((20.0 120.0,20.0 20.0,260.0 20.0,260.0 120.0,180.0 40.0,140.0 120.0,100.0 40.0,20.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 120.0,300.0 120.0,140.0 240.0,20.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-017 - A/A-3-2-3: two polygons touching at multiple points" do a = "POLYGON ((20 20, 20 300, 280 300, 280 260, 220 260, 60 100, 60 60, 280 60, 280 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((100 140, 160 80, 280 180, 200 240, 220 160, 160 200, 180 120, 100 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-017 - A/A-3-2-3: two polygons touching at multiple points (float)" do a = "POLYGON((20.0 20.0,20.0 300.0,280.0 300.0,280.0 260.0,220.0 260.0,60.0 100.0,60.0 60.0,280.0 60.0,280.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 140.0,160.0 80.0,280.0 180.0,200.0 240.0,220.0 160.0,160.0 200.0,180.0 120.0,100.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-018 - A/A-3-2-4: two polygons touching at multiple points" do a = "POLYGON ((20 20, 20 300, 280 300, 280 260, 220 260, 60 100, 60 60, 280 60, 280 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((260 200, 180 80, 120 160, 200 160, 180 220, 260 200))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-018 - A/A-3-2-4: two polygons touching at multiple points (float)" do a = "POLYGON((20.0 20.0,20.0 300.0,280.0 300.0,280.0 260.0,220.0 260.0,60.0 100.0,60.0 60.0,280.0 60.0,280.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((260.0 200.0,180.0 80.0,120.0 160.0,200.0 160.0,180.0 220.0,260.0 200.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-019 - A/A-3-2-5: two polygons touching at multiple points" do a = "POLYGON ((20 20, 280 20, 280 140, 220 60, 140 140, 80 60, 20 140, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((0 140, 300 140, 140 240, 0 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-019 - A/A-3-2-5: two polygons touching at multiple points (float)" do a = "POLYGON((20.0 20.0,280.0 20.0,280.0 140.0,220.0 60.0,140.0 140.0,80.0 60.0,20.0 140.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((0.0 140.0,300.0 140.0,140.0 240.0,0.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-020 - A/A-3-2-6: two polygons touching at multiple points" do a = "POLYGON ((20 20, 280 20, 280 140, 220 60, 140 140, 80 60, 20 140, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 240, 20 140, 320 140, 180 240, 20 240))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-020 - A/A-3-2-6: two polygons touching at multiple points (float)" do a = "POLYGON((20.0 20.0,280.0 20.0,280.0 140.0,220.0 60.0,140.0 140.0,80.0 60.0,20.0 140.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 240.0,20.0 140.0,320.0 140.0,180.0 240.0,20.0 240.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-021 - A/A-3-2-7: two polygons touching at multiple points" do a = "POLYGON ((20 20, 280 20, 280 140, 220 60, 140 140, 80 60, 20 140, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 240, 20 140, 80 180, 140 140, 220 180, 280 140, 280 240, 20 240))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-021 - A/A-3-2-7: two polygons touching at multiple points (float)" do a = "POLYGON((20.0 20.0,280.0 20.0,280.0 140.0,220.0 60.0,140.0 140.0,80.0 60.0,20.0 140.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 240.0,20.0 140.0,80.0 180.0,140.0 140.0,220.0 180.0,280.0 140.0,280.0 240.0,20.0 240.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-022 - A/A-3-3-1: two polygons touching along a boundary" do a = "POLYGON ((120 120, 180 60, 20 20, 20 120, 120 120))" |> Geo.WKT.decode!() b = "POLYGON ((120 120, 220 20, 280 20, 240 160, 120 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-022 - A/A-3-3-1: two polygons touching along a boundary (float)" do a = "POLYGON((120.0 120.0,180.0 60.0,20.0 20.0,20.0 120.0,120.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((120.0 120.0,220.0 20.0,280.0 20.0,240.0 160.0,120.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-023 - A/A-3-3-2: two polygons touching along a boundary" do a = "POLYGON ((140 120, 160 20, 20 20, 20 120, 140 120))" |> Geo.WKT.decode!() b = "POLYGON ((140 120, 160 20, 260 120, 220 200, 140 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-023 - A/A-3-3-2: two polygons touching along a boundary (float)" do a = "POLYGON((140.0 120.0,160.0 20.0,20.0 20.0,20.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((140.0 120.0,160.0 20.0,260.0 120.0,220.0 200.0,140.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-024 - A/A-3-3-3: two polygons touching along a boundary" do a = "POLYGON ((20 140, 120 40, 20 40, 20 140))" |> Geo.WKT.decode!() b = "POLYGON ((190 140, 190 20, 140 20, 20 140, 190 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-024 - A/A-3-3-3: two polygons touching along a boundary (float)" do a = "POLYGON((20.0 140.0,120.0 40.0,20.0 40.0,20.0 140.0))" |> Geo.WKT.decode!() b = "POLYGON((190.0 140.0,190.0 20.0,140.0 20.0,20.0 140.0,190.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-025 - A/A-3-3-4: two polygons touching along a boundary" do a = "POLYGON ((120 120, 180 60, 20 20, 20 120, 120 120))" |> Geo.WKT.decode!() b = "POLYGON ((300 20, 220 20, 120 120, 260 160, 300 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-025 - A/A-3-3-4: two polygons touching along a boundary (float)" do a = "POLYGON((120.0 120.0,180.0 60.0,20.0 20.0,20.0 120.0,120.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((300.0 20.0,220.0 20.0,120.0 120.0,260.0 160.0,300.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-026 - A/A-3-3-5: two polygons touching along a boundary" do a = "POLYGON ((140 120, 160 20, 20 20, 20 120, 140 120))" |> Geo.WKT.decode!() b = "POLYGON ((140 120, 240 160, 280 60, 160 20, 140 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-026 - A/A-3-3-5: two polygons touching along a boundary (float)" do a = "POLYGON((140.0 120.0,160.0 20.0,20.0 20.0,20.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((140.0 120.0,240.0 160.0,280.0 60.0,160.0 20.0,140.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-027 - A/A-3-3-6: two polygons touching along a boundary" do a = "POLYGON ((120 120, 180 60, 20 20, 20 120, 120 120))" |> Geo.WKT.decode!() b = "POLYGON ((280 60, 180 60, 120 120, 260 180, 280 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-027 - A/A-3-3-6: two polygons touching along a boundary (float)" do a = "POLYGON((120.0 120.0,180.0 60.0,20.0 20.0,20.0 120.0,120.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((280.0 60.0,180.0 60.0,120.0 120.0,260.0 180.0,280.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-028 - A/A-3-3-7: two polygons touching along a boundary" do a = "POLYGON ((140 120, 160 20, 20 20, 20 120, 140 120))" |> Geo.WKT.decode!() b = "POLYGON ((120 200, 120 120, 40 120, 40 200, 120 200))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-028 - A/A-3-3-7: two polygons touching along a boundary (float)" do a = "POLYGON((140.0 120.0,160.0 20.0,20.0 20.0,20.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((120.0 200.0,120.0 120.0,40.0 120.0,40.0 200.0,120.0 200.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-029 - A/A-3-3-8: two polygons touching along a boundary" do a = "POLYGON ((140 120, 160 20, 20 20, 20 120, 140 120))" |> Geo.WKT.decode!() b = "POLYGON ((160 220, 140 120, 60 120, 40 220, 160 220))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-029 - A/A-3-3-8: two polygons touching along a boundary (float)" do a = "POLYGON((140.0 120.0,160.0 20.0,20.0 20.0,20.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((160.0 220.0,140.0 120.0,60.0 120.0,40.0 220.0,160.0 220.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-030 - A/A-3-3-9: two polygons touching along a boundary" do a = "POLYGON ((140 120, 160 20, 20 20, 20 120, 140 120))" |> Geo.WKT.decode!() b = "POLYGON ((140 120, 20 120, 20 220, 140 220, 140 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-030 - A/A-3-3-9: two polygons touching along a boundary (float)" do a = "POLYGON((140.0 120.0,160.0 20.0,20.0 20.0,20.0 120.0,140.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((140.0 120.0,20.0 120.0,20.0 220.0,140.0 220.0,140.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-031 - A/A-3-3-10: two polygons touching along a boundary" do a = "POLYGON ((120 120, 180 60, 20 20, 20 120, 120 120))" |> Geo.WKT.decode!() b = "POLYGON ((320 20, 220 20, 80 160, 240 140, 320 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-031 - A/A-3-3-10: two polygons touching along a boundary (float)" do a = "POLYGON((120.0 120.0,180.0 60.0,20.0 20.0,20.0 120.0,120.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((320.0 20.0,220.0 20.0,80.0 160.0,240.0 140.0,320.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-032 - A/A-5-1: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((60 40, 60 140, 180 140, 180 40, 60 40))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-032 - A/A-5-1: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((60.0 40.0,60.0 140.0,180.0 140.0,180.0 40.0,60.0 40.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-033 - A/A-5-2-1: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 80 140, 160 60, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-033 - A/A-5-2-1: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,80.0 140.0,160.0 60.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-034 - A/A-5-2-2: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((160 60, 20 20, 100 140, 160 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-034 - A/A-5-2-2: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((160.0 60.0,20.0 20.0,100.0 140.0,160.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-035 - A/A-5-2-3: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 100, 140 160, 160 40, 20 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-035 - A/A-5-2-3: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 100.0,140.0 160.0,160.0 40.0,20.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-036 - A/A-5-2-4: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((160 40, 20 100, 160 160, 160 40))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-036 - A/A-5-2-4: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((160.0 40.0,20.0 100.0,160.0 160.0,160.0 40.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-037 - A/A-5-2-5: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 180, 180 120, 80 40, 20 180))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-037 - A/A-5-2-5: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 180.0,180.0 120.0,80.0 40.0,20.0 180.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-038 - A/A-5-2-6: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((180 120, 100 40, 20 180, 180 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-038 - A/A-5-2-6: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((180.0 120.0,100.0 40.0,20.0 180.0,180.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-039 - A/A-5-3-1: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 140 40, 140 120, 20 160, 80 80, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-039 - A/A-5-3-1: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,140.0 40.0,140.0 120.0,20.0 160.0,80.0 80.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-040 - A/A-5-3-2: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 140 40, 140 140, 20 180, 80 100, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-040 - A/A-5-3-2: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,140.0 40.0,140.0 140.0,20.0 180.0,80.0 100.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-041 - A/A-5-3-3: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((40 180, 60 100, 180 100, 200 180, 120 120, 40 180))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-041 - A/A-5-3-3: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((40.0 180.0,60.0 100.0,180.0 100.0,200.0 180.0,120.0 120.0,40.0 180.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-042 - A/A-5-3-4: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 180, 60 80, 180 80, 220 180, 120 120, 20 180))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-042 - A/A-5-3-4: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 180.0,60.0 80.0,180.0 80.0,220.0 180.0,120.0 120.0,20.0 180.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-043 - A/A-5-3-5: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((40 60, 20 180, 100 100, 140 180, 160 120, 220 100, 140 40, 40 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-043 - A/A-5-3-5: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((40.0 60.0,20.0 180.0,100.0 100.0,140.0 180.0,160.0 120.0,220.0 100.0,140.0 40.0,40.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-044 - A/A-5-3-6: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((60 100, 180 100, 220 180, 120 140, 20 180, 60 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-044 - A/A-5-3-6: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((60.0 100.0,180.0 100.0,220.0 180.0,120.0 140.0,20.0 180.0,60.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-045 - A/A-5-4-1: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 20 140, 120 120, 120 40, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-045 - A/A-5-4-1: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,20.0 140.0,120.0 120.0,120.0 40.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-046 - A/A-5-4-2: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 20 180, 140 140, 140 60, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-046 - A/A-5-4-2: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,20.0 180.0,140.0 140.0,140.0 60.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-047 - A/A-5-4-3: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 120 40, 120 120, 20 140, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-047 - A/A-5-4-3: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,120.0 40.0,120.0 120.0,20.0 140.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-048 - A/A-5-4-4: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((120 40, 20 20, 20 140, 120 120, 120 40))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-048 - A/A-5-4-4: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((120.0 40.0,20.0 20.0,20.0 140.0,120.0 120.0,120.0 40.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-049 - A/A-5-4-5: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 140 60, 140 140, 20 180, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-049 - A/A-5-4-5: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,140.0 60.0,140.0 140.0,20.0 180.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-050 - A/A-5-4-6: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((140 60, 20 20, 20 180, 140 140, 140 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-050 - A/A-5-4-6: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((140.0 60.0,20.0 20.0,20.0 180.0,140.0 140.0,140.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-051 - A/A-5-4-7: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 60 120, 140 120, 180 20, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-051 - A/A-5-4-7: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,60.0 120.0,140.0 120.0,180.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-052 - A/A-5-4-8: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 40, 120 40, 120 120, 20 140, 20 40))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-052 - A/A-5-4-8: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 40.0,120.0 40.0,120.0 120.0,20.0 140.0,20.0 40.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-053 - A/A-5-5-1: a polygon containing another polygon" do a = "POLYGON ((20 20, 20 180, 220 180, 220 20, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 20 180, 60 120, 100 180, 140 120, 220 180, 200 120, 140 60, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-053 - A/A-5-5-1: a polygon containing another polygon (float)" do a = "POLYGON((20.0 20.0,20.0 180.0,220.0 180.0,220.0 20.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,20.0 180.0,60.0 120.0,100.0 180.0,140.0 120.0,220.0 180.0,200.0 120.0,140.0 60.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-054 - A/A-6-1: a polygon overlapping another polygon" do a = "POLYGON ((150 150, 330 150, 250 70, 70 70, 150 150))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 270 150, 140 20, 20 20, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-054 - A/A-6-1: a polygon overlapping another polygon (float)" do a = "POLYGON((150.0 150.0,330.0 150.0,250.0 70.0,70.0 70.0,150.0 150.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,270.0 150.0,140.0 20.0,20.0 20.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-055 - A/A-6-2: a polygon overlapping another polygon" do a = "POLYGON ((150 150, 270 150, 330 150, 250 70, 190 70, 70 70, 150 150))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 270 150, 190 70, 140 20, 20 20, 70 70, 150 150))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-055 - A/A-6-2: a polygon overlapping another polygon (float)" do a = "POLYGON((150.0 150.0,270.0 150.0,330.0 150.0,250.0 70.0,190.0 70.0,70.0 70.0,150.0 150.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,270.0 150.0,190.0 70.0,140.0 20.0,20.0 20.0,70.0 70.0,150.0 150.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-056 - A/A-6-3: spiky polygons overlapping; boundary <-> boundary intersecting at 0 dimension" do a = "POLYGON ((20 20, 60 50, 20 40, 60 70, 20 60, 60 90, 20 90, 70 110, 20 130, 80 130, 20 150, 80 160, 20 170, 80 180, 20 200, 80 200, 30 240, 80 220, 50 260, 100 220, 100 260, 120 220, 130 260, 140 220, 150 280, 150 190, 160 280, 170 190, 180 280, 190 190, 200 280, 210 190, 220 280, 230 190, 240 260, 250 230, 260 260, 260 220, 290 270, 290 220, 330 260, 300 210, 340 240, 290 180, 340 210, 290 170, 350 170, 240 150, 350 150, 240 140, 350 130, 240 120, 350 120, 240 110, 350 110, 240 100, 350 100, 240 90, 350 90, 240 80, 350 80, 300 70, 340 60, 290 60, 340 40, 300 50, 340 20, 270 60, 310 20, 250 60, 270 20, 230 60, 240 20, 210 60, 210 20, 190 70, 190 20, 180 90, 170 20, 160 90, 150 20, 140 90, 130 20, 120 90, 110 20, 100 90, 100 20, 90 60, 80 20, 70 40, 20 20))" |> Geo.WKT.decode!() b = "POLYGON ((190 140, 140 130, 200 160, 130 150, 210 170, 130 170, 210 180, 120 190, 220 200, 120 200, 250 210, 120 210, 250 220, 120 220, 250 230, 120 240, 230 240, 120 250, 240 260, 120 260, 240 270, 120 270, 270 290, 120 290, 230 300, 150 310, 250 310, 180 320, 250 320, 200 360, 260 330, 240 360, 280 320, 290 370, 290 320, 320 360, 310 320, 360 360, 310 310, 380 340, 310 290, 390 330, 310 280, 410 310, 310 270, 420 280, 310 260, 430 250, 300 250, 440 240, 300 240, 450 230, 280 220, 440 220, 280 210, 440 210, 300 200, 430 190, 300 190, 440 180, 330 180, 430 150, 320 180, 420 130, 300 180, 410 120, 280 180, 400 110, 280 170, 390 90, 280 160, 400 70, 270 160, 450 30, 260 160, 420 30, 250 160, 390 30, 240 160, 370 30, 230 160, 360 30, 230 150, 330 50, 240 130, 330 30, 230 130, 310 30, 220 130, 280 30, 230 100, 270 40, 220 110, 250 30, 210 130, 240 30, 210 100, 220 40, 200 90, 200 20, 190 100, 180 30, 20 20, 180 40, 20 30, 180 50, 20 50, 180 60, 30 60, 180 70, 20 70, 170 80, 80 80, 170 90, 20 80, 180 100, 40 100, 200 110, 60 110, 200 120, 120 120, 190 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-056 - A/A-6-3: spiky polygons overlapping; boundary <-> boundary intersecting at 0 dimension (float)" do a = "POLYGON((20.0 20.0,60.0 50.0,20.0 40.0,60.0 70.0,20.0 60.0,60.0 90.0,20.0 90.0,70.0 110.0,20.0 130.0,80.0 130.0,20.0 150.0,80.0 160.0,20.0 170.0,80.0 180.0,20.0 200.0,80.0 200.0,30.0 240.0,80.0 220.0,50.0 260.0,100.0 220.0,100.0 260.0,120.0 220.0,130.0 260.0,140.0 220.0,150.0 280.0,150.0 190.0,160.0 280.0,170.0 190.0,180.0 280.0,190.0 190.0,200.0 280.0,210.0 190.0,220.0 280.0,230.0 190.0,240.0 260.0,250.0 230.0,260.0 260.0,260.0 220.0,290.0 270.0,290.0 220.0,330.0 260.0,300.0 210.0,340.0 240.0,290.0 180.0,340.0 210.0,290.0 170.0,350.0 170.0,240.0 150.0,350.0 150.0,240.0 140.0,350.0 130.0,240.0 120.0,350.0 120.0,240.0 110.0,350.0 110.0,240.0 100.0,350.0 100.0,240.0 90.0,350.0 90.0,240.0 80.0,350.0 80.0,300.0 70.0,340.0 60.0,290.0 60.0,340.0 40.0,300.0 50.0,340.0 20.0,270.0 60.0,310.0 20.0,250.0 60.0,270.0 20.0,230.0 60.0,240.0 20.0,210.0 60.0,210.0 20.0,190.0 70.0,190.0 20.0,180.0 90.0,170.0 20.0,160.0 90.0,150.0 20.0,140.0 90.0,130.0 20.0,120.0 90.0,110.0 20.0,100.0 90.0,100.0 20.0,90.0 60.0,80.0 20.0,70.0 40.0,20.0 20.0))" |> Geo.WKT.decode!() b = "POLYGON((190.0 140.0,140.0 130.0,200.0 160.0,130.0 150.0,210.0 170.0,130.0 170.0,210.0 180.0,120.0 190.0,220.0 200.0,120.0 200.0,250.0 210.0,120.0 210.0,250.0 220.0,120.0 220.0,250.0 230.0,120.0 240.0,230.0 240.0,120.0 250.0,240.0 260.0,120.0 260.0,240.0 270.0,120.0 270.0,270.0 290.0,120.0 290.0,230.0 300.0,150.0 310.0,250.0 310.0,180.0 320.0,250.0 320.0,200.0 360.0,260.0 330.0,240.0 360.0,280.0 320.0,290.0 370.0,290.0 320.0,320.0 360.0,310.0 320.0,360.0 360.0,310.0 310.0,380.0 340.0,310.0 290.0,390.0 330.0,310.0 280.0,410.0 310.0,310.0 270.0,420.0 280.0,310.0 260.0,430.0 250.0,300.0 250.0,440.0 240.0,300.0 240.0,450.0 230.0,280.0 220.0,440.0 220.0,280.0 210.0,440.0 210.0,300.0 200.0,430.0 190.0,300.0 190.0,440.0 180.0,330.0 180.0,430.0 150.0,320.0 180.0,420.0 130.0,300.0 180.0,410.0 120.0,280.0 180.0,400.0 110.0,280.0 170.0,390.0 90.0,280.0 160.0,400.0 70.0,270.0 160.0,450.0 30.0,260.0 160.0,420.0 30.0,250.0 160.0,390.0 30.0,240.0 160.0,370.0 30.0,230.0 160.0,360.0 30.0,230.0 150.0,330.0 50.0,240.0 130.0,330.0 30.0,230.0 130.0,310.0 30.0,220.0 130.0,280.0 30.0,230.0 100.0,270.0 40.0,220.0 110.0,250.0 30.0,210.0 130.0,240.0 30.0,210.0 100.0,220.0 40.0,200.0 90.0,200.0 20.0,190.0 100.0,180.0 30.0,20.0 20.0,180.0 40.0,20.0 30.0,180.0 50.0,20.0 50.0,180.0 60.0,30.0 60.0,180.0 70.0,20.0 70.0,170.0 80.0,80.0 80.0,170.0 90.0,20.0 80.0,180.0 100.0,40.0 100.0,200.0 110.0,60.0 110.0,200.0 120.0,120.0 120.0,190.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-057 - A/A-6-4: spiky polygons overlapping; boundary <-> boundary intersecting at 1 dimension at a few locations" do a = "POLYGON ((70 150, 20 160, 110 160, 20 180, 100 200, 20 200, 190 210, 20 210, 160 220, 20 220, 150 230, 60 240, 180 250, 20 260, 170 260, 60 270, 160 270, 100 310, 170 280, 200 260, 180 230, 210 260, 130 330, 230 250, 210 290, 240 250, 230 210, 260 300, 250 230, 270 300, 270 240, 300 340, 280 250, 320 330, 290 250, 340 350, 290 240, 350 360, 270 190, 350 340, 290 200, 350 330, 300 190, 360 320, 310 190, 360 300, 320 200, 360 280, 330 200, 360 260, 340 200, 370 260, 340 180, 390 290, 340 170, 400 260, 350 170, 400 250, 350 160, 410 240, 350 150, 400 170, 350 140, 310 170, 340 140, 270 180, 330 140, 260 170, 310 140, 240 170, 290 140, 200 190, 270 140, 180 190, 260 140, 170 190, 260 130, 170 180, 250 130, 170 170, 240 120, 170 160, 210 120, 170 150, 210 110, 340 130, 230 110, 420 140, 220 100, 410 130, 220 90, 400 120, 220 80, 390 110, 220 70, 420 110, 240 70, 420 100, 260 70, 420 90, 280 70, 430 80, 230 60, 430 60, 270 50, 450 40, 210 50, 370 40, 260 40, 460 30, 160 40, 210 60, 200 110, 190 60, 190 120, 170 50, 180 130, 150 30, 170 130, 140 20, 160 120, 130 20, 160 150, 120 20, 160 170, 110 20, 160 190, 100 20, 150 190, 90 20, 140 180, 80 20, 120 140, 70 20, 120 150, 60 20, 110 150, 50 20, 100 140, 50 30, 90 130, 40 30, 80 120, 30 30, 80 130, 30 40, 80 140, 20 40, 70 140, 40 90, 60 130, 20 90, 60 140, 20 130, 70 150))" |> Geo.WKT.decode!() b = "POLYGON ((190 140, 140 130, 200 160, 130 150, 210 170, 130 170, 210 180, 120 190, 220 200, 120 200, 250 210, 120 210, 250 220, 120 220, 250 230, 120 240, 230 240, 120 250, 240 260, 120 260, 240 270, 120 270, 270 290, 120 290, 230 300, 150 310, 250 310, 180 320, 250 320, 200 360, 260 330, 240 360, 280 320, 290 370, 290 320, 320 360, 310 320, 360 360, 310 310, 380 340, 310 290, 390 330, 310 280, 410 310, 310 270, 420 280, 310 260, 430 250, 300 250, 440 240, 300 240, 450 230, 280 220, 440 220, 280 210, 440 210, 300 200, 430 190, 300 190, 440 180, 330 180, 430 150, 320 180, 420 130, 300 180, 410 120, 280 180, 400 110, 280 170, 390 90, 280 160, 400 70, 270 160, 450 30, 260 160, 420 30, 250 160, 390 30, 240 160, 370 30, 230 160, 360 30, 230 150, 330 50, 240 130, 330 30, 230 130, 310 30, 220 130, 280 30, 230 100, 270 40, 220 110, 250 30, 210 130, 240 30, 210 100, 220 40, 200 90, 200 20, 190 100, 180 30, 20 20, 180 40, 20 30, 180 50, 20 50, 180 60, 30 60, 180 70, 20 70, 170 80, 80 80, 170 90, 20 80, 180 100, 40 100, 200 110, 60 110, 200 120, 120 120, 190 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-057 - A/A-6-4: spiky polygons overlapping; boundary <-> boundary intersecting at 1 dimension at a few locations (float)" do a = "POLYGON((70.0 150.0,20.0 160.0,110.0 160.0,20.0 180.0,100.0 200.0,20.0 200.0,190.0 210.0,20.0 210.0,160.0 220.0,20.0 220.0,150.0 230.0,60.0 240.0,180.0 250.0,20.0 260.0,170.0 260.0,60.0 270.0,160.0 270.0,100.0 310.0,170.0 280.0,200.0 260.0,180.0 230.0,210.0 260.0,130.0 330.0,230.0 250.0,210.0 290.0,240.0 250.0,230.0 210.0,260.0 300.0,250.0 230.0,270.0 300.0,270.0 240.0,300.0 340.0,280.0 250.0,320.0 330.0,290.0 250.0,340.0 350.0,290.0 240.0,350.0 360.0,270.0 190.0,350.0 340.0,290.0 200.0,350.0 330.0,300.0 190.0,360.0 320.0,310.0 190.0,360.0 300.0,320.0 200.0,360.0 280.0,330.0 200.0,360.0 260.0,340.0 200.0,370.0 260.0,340.0 180.0,390.0 290.0,340.0 170.0,400.0 260.0,350.0 170.0,400.0 250.0,350.0 160.0,410.0 240.0,350.0 150.0,400.0 170.0,350.0 140.0,310.0 170.0,340.0 140.0,270.0 180.0,330.0 140.0,260.0 170.0,310.0 140.0,240.0 170.0,290.0 140.0,200.0 190.0,270.0 140.0,180.0 190.0,260.0 140.0,170.0 190.0,260.0 130.0,170.0 180.0,250.0 130.0,170.0 170.0,240.0 120.0,170.0 160.0,210.0 120.0,170.0 150.0,210.0 110.0,340.0 130.0,230.0 110.0,420.0 140.0,220.0 100.0,410.0 130.0,220.0 90.0,400.0 120.0,220.0 80.0,390.0 110.0,220.0 70.0,420.0 110.0,240.0 70.0,420.0 100.0,260.0 70.0,420.0 90.0,280.0 70.0,430.0 80.0,230.0 60.0,430.0 60.0,270.0 50.0,450.0 40.0,210.0 50.0,370.0 40.0,260.0 40.0,460.0 30.0,160.0 40.0,210.0 60.0,200.0 110.0,190.0 60.0,190.0 120.0,170.0 50.0,180.0 130.0,150.0 30.0,170.0 130.0,140.0 20.0,160.0 120.0,130.0 20.0,160.0 150.0,120.0 20.0,160.0 170.0,110.0 20.0,160.0 190.0,100.0 20.0,150.0 190.0,90.0 20.0,140.0 180.0,80.0 20.0,120.0 140.0,70.0 20.0,120.0 150.0,60.0 20.0,110.0 150.0,50.0 20.0,100.0 140.0,50.0 30.0,90.0 130.0,40.0 30.0,80.0 120.0,30.0 30.0,80.0 130.0,30.0 40.0,80.0 140.0,20.0 40.0,70.0 140.0,40.0 90.0,60.0 130.0,20.0 90.0,60.0 140.0,20.0 130.0,70.0 150.0))" |> Geo.WKT.decode!() b = "POLYGON((190.0 140.0,140.0 130.0,200.0 160.0,130.0 150.0,210.0 170.0,130.0 170.0,210.0 180.0,120.0 190.0,220.0 200.0,120.0 200.0,250.0 210.0,120.0 210.0,250.0 220.0,120.0 220.0,250.0 230.0,120.0 240.0,230.0 240.0,120.0 250.0,240.0 260.0,120.0 260.0,240.0 270.0,120.0 270.0,270.0 290.0,120.0 290.0,230.0 300.0,150.0 310.0,250.0 310.0,180.0 320.0,250.0 320.0,200.0 360.0,260.0 330.0,240.0 360.0,280.0 320.0,290.0 370.0,290.0 320.0,320.0 360.0,310.0 320.0,360.0 360.0,310.0 310.0,380.0 340.0,310.0 290.0,390.0 330.0,310.0 280.0,410.0 310.0,310.0 270.0,420.0 280.0,310.0 260.0,430.0 250.0,300.0 250.0,440.0 240.0,300.0 240.0,450.0 230.0,280.0 220.0,440.0 220.0,280.0 210.0,440.0 210.0,300.0 200.0,430.0 190.0,300.0 190.0,440.0 180.0,330.0 180.0,430.0 150.0,320.0 180.0,420.0 130.0,300.0 180.0,410.0 120.0,280.0 180.0,400.0 110.0,280.0 170.0,390.0 90.0,280.0 160.0,400.0 70.0,270.0 160.0,450.0 30.0,260.0 160.0,420.0 30.0,250.0 160.0,390.0 30.0,240.0 160.0,370.0 30.0,230.0 160.0,360.0 30.0,230.0 150.0,330.0 50.0,240.0 130.0,330.0 30.0,230.0 130.0,310.0 30.0,220.0 130.0,280.0 30.0,230.0 100.0,270.0 40.0,220.0 110.0,250.0 30.0,210.0 130.0,240.0 30.0,210.0 100.0,220.0 40.0,200.0 90.0,200.0 20.0,190.0 100.0,180.0 30.0,20.0 20.0,180.0 40.0,20.0 30.0,180.0 50.0,20.0 50.0,180.0 60.0,30.0 60.0,180.0 70.0,20.0 70.0,170.0 80.0,80.0 80.0,170.0 90.0,20.0 80.0,180.0 100.0,40.0 100.0,200.0 110.0,60.0 110.0,200.0 120.0,120.0 120.0,190.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-058 - A/A-6-5: a polygon overlapping another polygon" do a = "POLYGON ((60 160, 220 160, 220 20, 60 20, 60 160))" |> Geo.WKT.decode!() b = "POLYGON ((60 160, 20 200, 260 200, 220 160, 140 80, 60 160))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-058 - A/A-6-5: a polygon overlapping another polygon (float)" do a = "POLYGON((60.0 160.0,220.0 160.0,220.0 20.0,60.0 20.0,60.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((60.0 160.0,20.0 200.0,260.0 200.0,220.0 160.0,140.0 80.0,60.0 160.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-059 - A/A-6-6: a polygon overlapping another polygon" do a = "POLYGON ((60 160, 220 160, 220 20, 60 20, 60 160))" |> Geo.WKT.decode!() b = "POLYGON ((60 160, 20 200, 260 200, 140 80, 60 160))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-059 - A/A-6-6: a polygon overlapping another polygon (float)" do a = "POLYGON((60.0 160.0,220.0 160.0,220.0 20.0,60.0 20.0,60.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((60.0 160.0,20.0 200.0,260.0 200.0,140.0 80.0,60.0 160.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-060 - A/A-6-7: a polygon overlapping another polygon" do a = "POLYGON ((60 160, 220 160, 220 20, 60 20, 60 160))" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 140 80, 260 200, 20 200))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-060 - A/A-6-7: a polygon overlapping another polygon (float)" do a = "POLYGON((60.0 160.0,220.0 160.0,220.0 20.0,60.0 20.0,60.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,140.0 80.0,260.0 200.0,20.0 200.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-061 - A/A-6-8: a polygon overlapping another polygon" do a = "POLYGON ((60 160, 220 160, 220 20, 60 20, 60 160))" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 60 160, 140 80, 220 160, 260 200, 20 200))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-061 - A/A-6-8: a polygon overlapping another polygon (float)" do a = "POLYGON((60.0 160.0,220.0 160.0,220.0 20.0,60.0 20.0,60.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,60.0 160.0,140.0 80.0,220.0 160.0,260.0 200.0,20.0 200.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-062 - A/A-6-9: a polygon overlapping another polygon" do a = "POLYGON ((60 160, 220 160, 220 20, 60 20, 60 160))" |> Geo.WKT.decode!() b = "POLYGON ((20 200, 60 160, 140 80, 260 200, 20 200))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-062 - A/A-6-9: a polygon overlapping another polygon (float)" do a = "POLYGON((60.0 160.0,220.0 160.0,220.0 20.0,60.0 20.0,60.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 200.0,60.0 160.0,140.0 80.0,260.0 200.0,20.0 200.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-063 - A/A-6-10: a polygon overlapping a skinny polygon" do a = "POLYGON ((0 0, 0 200, 200 200, 200 0, 0 0))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 1000000 110, 10000000 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-063 - A/A-6-10: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((0.0 0.0,0.0 200.0,200.0 200.0,200.0 0.0,0.0 0.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,1.0e6 110.0,1.0e7 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-064 - A/A-6-11: a polygon overlapping a skinny polygon" do a = "POLYGON ((100 0, 100 200, 200 200, 200 0, 100 0))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 1000000 110, 10000000 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-064 - A/A-6-11: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((100.0 0.0,100.0 200.0,200.0 200.0,200.0 0.0,100.0 0.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,1.0e6 110.0,1.0e7 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-065 - A/A-6-12: a polygon overlapping a skinny polygon" do a = "POLYGON ((120 0, 120 200, 200 200, 200 0, 120 0))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 1000000 110, 10000000 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-065 - A/A-6-12: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((120.0 0.0,120.0 200.0,200.0 200.0,200.0 0.0,120.0 0.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,1.0e6 110.0,1.0e7 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-066 - A/A-6-13: a polygon overlapping a skinny polygon" do a = "POLYGON ((0 0, 0 200, 110 200, 110 0, 0 0))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 1000000 110, 10000000 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-066 - A/A-6-13: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((0.0 0.0,0.0 200.0,110.0 200.0,110.0 0.0,0.0 0.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,1.0e6 110.0,1.0e7 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-067 - A/A-6-14: a polygon overlapping a skinny polygon" do a = "POLYGON ((100 100, 100 200, 200 200, 200 100, 100 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 2100 110, 2100 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-067 - A/A-6-14: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((100.0 100.0,100.0 200.0,200.0 200.0,200.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,2.1e3 110.0,2.1e3 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-068 - A/A-6-15: a polygon overlapping a skinny polygon" do a = "POLYGON ((100 100, 100 200, 200 200, 200 100, 100 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 2101 110, 2101 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-068 - A/A-6-15: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((100.0 100.0,100.0 200.0,200.0 200.0,200.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,2101.0 110.0,2101.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-069 - A/A-6-16: two skinny polygons overlapping" do a = "POLYGON ((100 100, 200 200, 200 100, 100 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 2101 110, 2101 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-069 - A/A-6-16: two skinny polygons overlapping (float)" do a = "POLYGON((100.0 100.0,200.0 200.0,200.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,2101.0 110.0,2101.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-070 - A/A-6-17: a polygon overlapping a skinny polygon" do a = "POLYGON ((100 100, 100 200, 200 200, 200 100, 100 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 1000000 110, 1000000 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-070 - A/A-6-17: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((100.0 100.0,100.0 200.0,200.0 200.0,200.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,1.0e6 110.0,1.0e6 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-071 - A/A-6-19: a polygon overlapping a skinny polygon" do a = "POLYGON ((120 100, 120 200, 200 200, 200 100, 120 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 500 110, 500 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-071 - A/A-6-19: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((120.0 100.0,120.0 200.0,200.0 200.0,200.0 100.0,120.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,500.0 110.0,500.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-072 - A/A-6-20: a polygon overlapping a skinny polygon" do a = "POLYGON ((120 100, 120 200, 200 200, 200 100, 120 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 501 110, 501 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-072 - A/A-6-20: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((120.0 100.0,120.0 200.0,200.0 200.0,200.0 100.0,120.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,501.0 110.0,501.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-073 - A/A-6-21: a polygon overlapping a skinny polygon" do a = "POLYGON ((120 100, 130 200, 200 200, 200 100, 120 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 501 110, 501 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-073 - A/A-6-21: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((120.0 100.0,130.0 200.0,200.0 200.0,200.0 100.0,120.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,501.0 110.0,501.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-074 - A/A-6-22: a polygon overlapping a skinny polygon" do a = "POLYGON ((120 100, 17 200, 200 200, 200 100, 120 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 501 110, 501 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-074 - A/A-6-22: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((120.0 100.0,17.0 200.0,200.0 200.0,200.0 100.0,120.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,501.0 110.0,501.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-075 - A/A-6-23: a polygon overlapping a skinny polygon" do a = "POLYGON ((120 100, 120 200, 200 200, 200 100, 120 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 1000000 110, 1000000 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-075 - A/A-6-23: a polygon overlapping a skinny polygon (float)" do a = "POLYGON((120.0 100.0,120.0 200.0,200.0 200.0,200.0 100.0,120.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,1.0e6 110.0,1.0e6 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-076 - A/A-6-25: two skinny polygons overlapping" do a = "POLYGON ((101 99, 101 1000000, 102 1000000, 101 99))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 1000000 110, 1000000 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-076 - A/A-6-25: two skinny polygons overlapping (float)" do a = "POLYGON((101.0 99.0,101.0 1.0e6,102.0 1.0e6,101.0 99.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,1.0e6 110.0,1.0e6 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-077 - A/A-6-26: two skinny polygons overlapping" do a = "POLYGON ((100 100, 200 101, 200 100, 100 100))" |> Geo.WKT.decode!() b = "POLYGON ((100 100, 2101 110, 2101 100, 100 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-077 - A/A-6-26: two skinny polygons overlapping (float)" do a = "POLYGON((100.0 100.0,200.0 101.0,200.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((100.0 100.0,2101.0 110.0,2101.0 100.0,100.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-078 - A/A-6-26: two polygons overlapping" do a = "POLYGON ((16 319, 150 39, 25 302, 160 20, 265 20, 127 317, 16 319))" |> Geo.WKT.decode!() b = "POLYGON ((10 307, 22 307, 153 34, 22 34, 10 307))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-078 - A/A-6-26: two polygons overlapping (float)" do a = "POLYGON((16.0 319.0,150.0 39.0,25.0 302.0,160.0 20.0,265.0 20.0,127.0 317.0,16.0 319.0))" |> Geo.WKT.decode!() b = "POLYGON((10.0 307.0,22.0 307.0,153.0 34.0,22.0 34.0,10.0 307.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-079 - A/Ah-3-1: the closing point of a polygon touching the closing points of another polygon and its hole" do a = "POLYGON ((160 200, 210 70, 120 70, 160 200))" |> Geo.WKT.decode!() b = "POLYGON ((160 200, 310 20, 20 20, 160 200),(160 200, 260 40, 70 40, 160 200))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-079 - A/Ah-3-1: the closing point of a polygon touching the closing points of another polygon and its hole (float)" do a = "POLYGON((160.0 200.0,210.0 70.0,120.0 70.0,160.0 200.0))" |> Geo.WKT.decode!() b = "POLYGON((160.0 200.0,310.0 20.0,20.0 20.0,160.0 200.0),(160.0 200.0,260.0 40.0,70.0 40.0,160.0 200.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-080 - A/Ah-3-2: the boundary of a polygon touching the inner boundary of another polygon at two spots" do a = "POLYGON ((170 120, 240 100, 260 50, 190 70, 170 120))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-080 - A/Ah-3-2: the boundary of a polygon touching the inner boundary of another polygon at two spots (float)" do a = "POLYGON((170.0 120.0,240.0 100.0,260.0 50.0,190.0 70.0,170.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-081 - A/Ah-3-3: the boundary of a polygon touching the inner boundary of another polygon at two spots" do a = "POLYGON ((270 90, 200 50, 150 80, 210 120, 270 90))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-081 - A/Ah-3-3: the boundary of a polygon touching the inner boundary of another polygon at two spots (float)" do a = "POLYGON((270.0 90.0,200.0 50.0,150.0 80.0,210.0 120.0,270.0 90.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-082 - A/Ah-3-4: the boundary of a polygon touching the inner boundary of another polygon at one spot" do a = "POLYGON ((170 120, 260 100, 240 60, 150 80, 170 120))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-082 - A/Ah-3-4: the boundary of a polygon touching the inner boundary of another polygon at one spot (float)" do a = "POLYGON((170.0 120.0,260.0 100.0,240.0 60.0,150.0 80.0,170.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-083 - A/Ah-3-5: the boundary of a polygon touching the inner boundary of another polygon at one spot" do a = "POLYGON ((220 120, 270 80, 200 60, 160 100, 220 120))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-083 - A/Ah-3-5: the boundary of a polygon touching the inner boundary of another polygon at one spot (float)" do a = "POLYGON((220.0 120.0,270.0 80.0,200.0 60.0,160.0 100.0,220.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-084 - A/Ah-3-6: the boundary of a polygon touching the inner boundary of another polygon at one spot" do a = "POLYGON ((260 50, 180 70, 180 110, 260 90, 260 50))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-084 - A/Ah-3-6: the boundary of a polygon touching the inner boundary of another polygon at one spot (float)" do a = "POLYGON((260.0 50.0,180.0 70.0,180.0 110.0,260.0 90.0,260.0 50.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-085 - A/Ah-3-7: the boundary of a polygon touching the inner boundary of another polygon at two spots" do a = "POLYGON ((230 110, 290 80, 190 60, 140 90, 230 110))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-085 - A/Ah-3-7: the boundary of a polygon touching the inner boundary of another polygon at two spots (float)" do a = "POLYGON((230.0 110.0,290.0 80.0,190.0 60.0,140.0 90.0,230.0 110.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-086 - A/Ah-3-8: the boundary of a polygon touching the inner boundary of another polygon" do a = "POLYGON ((170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-086 - A/Ah-3-8: the boundary of a polygon touching the inner boundary of another polygon (float)" do a = "POLYGON((170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-087 - A/Ah-3-9: part of the boundary of a polygon touching part of the inner boundary of another polygon" do a = "POLYGON ((170 120, 330 120, 280 70, 120 70, 170 120))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-087 - A/Ah-3-9: part of the boundary of a polygon touching part of the inner boundary of another polygon (float)" do a = "POLYGON((170.0 120.0,330.0 120.0,280.0 70.0,120.0 70.0,170.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-088 - A/Ah-3-10: part of the boundary of a polygon touching part of the inner boundary of another polygon" do a = "POLYGON ((170 120, 300 120, 250 70, 120 70, 170 120))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-088 - A/Ah-3-10: part of the boundary of a polygon touching part of the inner boundary of another polygon (float)" do a = "POLYGON((170.0 120.0,300.0 120.0,250.0 70.0,120.0 70.0,170.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-089 - A/Ah-3-11: part of the boundary of a polygon touching part of the inner boundary of another polygon" do a = "POLYGON ((190 100, 310 100, 260 50, 140 50, 190 100))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 330 120, 260 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-089 - A/Ah-3-11: part of the boundary of a polygon touching part of the inner boundary of another polygon (float)" do a = "POLYGON((190.0 100.0,310.0 100.0,260.0 50.0,140.0 50.0,190.0 100.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,330.0 120.0,260.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-090 - A/Ah-5-1: an entire polygon within another polygon which has a hole" do a = "POLYGON ((280 130, 360 130, 270 40, 190 40, 280 130))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-090 - A/Ah-5-1: an entire polygon within another polygon which has a hole (float)" do a = "POLYGON((280.0 130.0,360.0 130.0,270.0 40.0,190.0 40.0,280.0 130.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,250.0 120.0,180.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-091 - A/Ah-5-2: an entire polygon within another polygon which has a hole" do a = "POLYGON ((220 80, 180 40, 80 40, 170 130, 270 130, 230 90, 300 90, 250 30, 280 30, 390 140, 150 140, 40 30, 230 30, 280 80, 220 80))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-091 - A/Ah-5-2: an entire polygon within another polygon which has a hole (float)" do a = "POLYGON((220.0 80.0,180.0 40.0,80.0 40.0,170.0 130.0,270.0 130.0,230.0 90.0,300.0 90.0,250.0 30.0,280.0 30.0,390.0 140.0,150.0 140.0,40.0 30.0,230.0 30.0,280.0 80.0,220.0 80.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,250.0 120.0,180.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-092 - A/Ah-5-3: polygon A within polygon B, the boundary of A touching the inner boundary of B" do a = "POLYGON ((260 130, 360 130, 280 40, 170 40, 260 130))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-092 - A/Ah-5-3: polygon A within polygon B, the boundary of A touching the inner boundary of B (float)" do a = "POLYGON((260.0 130.0,360.0 130.0,280.0 40.0,170.0 40.0,260.0 130.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,250.0 120.0,180.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-093 - A/Ah-5-4: polygon A within polygon B, the boundary of A touching the inner boundary of B" do a = "POLYGON ((240 110, 340 110, 290 60, 190 60, 240 110))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-093 - A/Ah-5-4: polygon A within polygon B, the boundary of A touching the inner boundary of B (float)" do a = "POLYGON((240.0 110.0,340.0 110.0,290.0 60.0,190.0 60.0,240.0 110.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,250.0 120.0,180.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-094 - A/Ah-5-5: polygon A within polygon B, the boundary of A touching the inner boundary of B" do a = "POLYGON ((250 120, 350 120, 280 50, 180 50, 250 120))" |> Geo.WKT.decode!() b = "POLYGON ((150 150, 410 150, 280 20, 20 20, 150 150),(170 120, 250 120, 180 50, 100 50, 170 120))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-094 - A/Ah-5-5: polygon A within polygon B, the boundary of A touching the inner boundary of B (float)" do a = "POLYGON((250.0 120.0,350.0 120.0,280.0 50.0,180.0 50.0,250.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((150.0 150.0,410.0 150.0,280.0 20.0,20.0 20.0,150.0 150.0),(170.0 120.0,250.0 120.0,180.0 50.0,100.0 50.0,170.0 120.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-095 - Ah/Ah-1-1: same polygons (with a hole)" do a = "POLYGON ((230 210, 230 20, 20 20, 20 210, 230 210),(120 180, 50 50, 200 50, 120 180))" |> Geo.WKT.decode!() b = "POLYGON ((230 210, 230 20, 20 20, 20 210, 230 210),(120 180, 50 50, 200 50, 120 180))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-095 - Ah/Ah-1-1: same polygons (with a hole) (float)" do a = "POLYGON((230.0 210.0,230.0 20.0,20.0 20.0,20.0 210.0,230.0 210.0),(120.0 180.0,50.0 50.0,200.0 50.0,120.0 180.0))" |> Geo.WKT.decode!() b = "POLYGON((230.0 210.0,230.0 20.0,20.0 20.0,20.0 210.0,230.0 210.0),(120.0 180.0,50.0 50.0,200.0 50.0,120.0 180.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-096 - A2h/A2h-1-1: same polygons (with two holes)" do a = "POLYGON ((230 210, 230 20, 20 20, 20 210, 230 210),(140 40, 40 40, 40 170, 140 40),(110 190, 210 190, 210 50, 110 190))" |> Geo.WKT.decode!() b = "POLYGON ((230 210, 230 20, 20 20, 20 210, 230 210),(140 40, 40 40, 40 170, 140 40),(110 190, 210 190, 210 50, 110 190))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-096 - A2h/A2h-1-1: same polygons (with two holes) (float)" do a = "POLYGON((230.0 210.0,230.0 20.0,20.0 20.0,20.0 210.0,230.0 210.0),(140.0 40.0,40.0 40.0,40.0 170.0,140.0 40.0),(110.0 190.0,210.0 190.0,210.0 50.0,110.0 190.0))" |> Geo.WKT.decode!() b = "POLYGON((230.0 210.0,230.0 20.0,20.0 20.0,20.0 210.0,230.0 210.0),(140.0 40.0,40.0 40.0,40.0 170.0,140.0 40.0),(110.0 190.0,210.0 190.0,210.0 50.0,110.0 190.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == true assert Topo.equals?(a, b) == true assert Topo.equals?(b, a) == true end @tag :validation test "07-097 - A/mA-3-1: a polygon touching multipolygon at two points" do a = "POLYGON ((280 190, 330 150, 200 110, 150 150, 280 190))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((140 110, 260 110, 170 20, 50 20, 140 110)),((300 270, 420 270, 340 190, 220 190, 300 270)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-097 - A/mA-3-1: a polygon touching multipolygon at two points (float)" do a = "POLYGON((280.0 190.0,330.0 150.0,200.0 110.0,150.0 150.0,280.0 190.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((140.0 110.0,260.0 110.0,170.0 20.0,50.0 20.0,140.0 110.0)),((300.0 270.0,420.0 270.0,340.0 190.0,220.0 190.0,300.0 270.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-098 - A/mA-3-2: a polygon touching multipolygon at two points" do a = "POLYGON ((80 190, 220 190, 140 110, 0 110, 80 190))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((140 110, 260 110, 170 20, 50 20, 140 110)),((300 270, 420 270, 340 190, 220 190, 300 270)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-098 - A/mA-3-2: a polygon touching multipolygon at two points (float)" do a = "POLYGON((80.0 190.0,220.0 190.0,140.0 110.0,0.0 110.0,80.0 190.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((140.0 110.0,260.0 110.0,170.0 20.0,50.0 20.0,140.0 110.0)),((300.0 270.0,420.0 270.0,340.0 190.0,220.0 190.0,300.0 270.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-099 - A/mA-3-3: a polygon touching multipolygon at two points" do a = "POLYGON ((330 150, 200 110, 150 150, 280 190, 330 150))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((140 110, 260 110, 170 20, 50 20, 140 110)),((300 270, 420 270, 340 190, 220 190, 300 270)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-099 - A/mA-3-3: a polygon touching multipolygon at two points (float)" do a = "POLYGON((330.0 150.0,200.0 110.0,150.0 150.0,280.0 190.0,330.0 150.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((140.0 110.0,260.0 110.0,170.0 20.0,50.0 20.0,140.0 110.0)),((300.0 270.0,420.0 270.0,340.0 190.0,220.0 190.0,300.0 270.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-100 - A/mA-3-4: a polygon touching multipolygon at one spoint" do a = "POLYGON ((290 190, 340 150, 220 120, 170 170, 290 190))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((140 110, 260 110, 170 20, 50 20, 140 110)),((300 270, 420 270, 340 190, 220 190, 300 270)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-100 - A/mA-3-4: a polygon touching multipolygon at one spoint (float)" do a = "POLYGON((290.0 190.0,340.0 150.0,220.0 120.0,170.0 170.0,290.0 190.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((140.0 110.0,260.0 110.0,170.0 20.0,50.0 20.0,140.0 110.0)),((300.0 270.0,420.0 270.0,340.0 190.0,220.0 190.0,300.0 270.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-101 - A/mA-3-5: a polygon touching multipolygon along boundaries" do a = "POLYGON ((220 190, 340 190, 260 110, 140 110, 220 190))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((140 110, 260 110, 170 20, 50 20, 140 110)),((300 270, 420 270, 340 190, 220 190, 300 270)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-101 - A/mA-3-5: a polygon touching multipolygon along boundaries (float)" do a = "POLYGON((220.0 190.0,340.0 190.0,260.0 110.0,140.0 110.0,220.0 190.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((140.0 110.0,260.0 110.0,170.0 20.0,50.0 20.0,140.0 110.0)),((300.0 270.0,420.0 270.0,340.0 190.0,220.0 190.0,300.0 270.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-102 - A/mA-3-6: a polygon touching multipolygon along boundaries and at a point" do a = "POLYGON ((140 190, 220 190, 100 70, 20 70, 140 190))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((140 110, 260 110, 170 20, 50 20, 140 110)),((300 270, 420 270, 340 190, 220 190, 300 270)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-102 - A/mA-3-6: a polygon touching multipolygon along boundaries and at a point (float)" do a = "POLYGON((140.0 190.0,220.0 190.0,100.0 70.0,20.0 70.0,140.0 190.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((140.0 110.0,260.0 110.0,170.0 20.0,50.0 20.0,140.0 110.0)),((300.0 270.0,420.0 270.0,340.0 190.0,220.0 190.0,300.0 270.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-103 - A/mA-6-1: a polygon overlapping multipolygon" do a = "POLYGON ((140 220, 60 140, 140 60, 220 140, 140 220))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((100 20, 180 20, 180 100, 100 100, 100 20)),((20 100, 100 100, 100 180, 20 180, 20 100)),((100 180, 180 180, 180 260, 100 260, 100 180)),((180 100, 260 100, 260 180, 180 180, 180 100)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-103 - A/mA-6-1: a polygon overlapping multipolygon (float)" do a = "POLYGON((140.0 220.0,60.0 140.0,140.0 60.0,220.0 140.0,140.0 220.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((100.0 20.0,180.0 20.0,180.0 100.0,100.0 100.0,100.0 20.0)),((20.0 100.0,100.0 100.0,100.0 180.0,20.0 180.0,20.0 100.0)),((100.0 180.0,180.0 180.0,180.0 260.0,100.0 260.0,100.0 180.0)),((180.0 100.0,260.0 100.0,260.0 180.0,180.0 180.0,180.0 100.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-104 - mA/mA-3-1: MultiPolygon touching MultiPolygon" do a = "MULTIPOLYGON (((110 110, 70 200, 150 200, 110 110)),((110 110, 150 20, 70 20, 110 110)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 160 160, 210 110, 160 60, 110 110)),((110 110, 60 60, 10 110, 60 160, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-104 - mA/mA-3-1: MultiPolygon touching MultiPolygon (float)" do a = "MULTIPOLYGON(((110.0 110.0,70.0 200.0,150.0 200.0,110.0 110.0)),((110.0 110.0,150.0 20.0,70.0 20.0,110.0 110.0)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,160.0 160.0,210.0 110.0,160.0 60.0,110.0 110.0)),((110.0 110.0,60.0 60.0,10.0 110.0,60.0 160.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-105 - mAh/mAh-3-1: MultiPolygon touching MultiPolygon" do a = "MULTIPOLYGON (((110 110, 70 200, 150 200, 110 110),(110 110, 100 180, 120 180, 110 110)),((110 110, 150 20, 70 20, 110 110),(110 110, 120 40, 100 40, 110 110)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 160 160, 210 110, 160 60, 110 110),(110 110, 160 130, 160 90, 110 110)),((110 110, 60 60, 10 110, 60 160, 110 110),(110 110, 60 90, 60 130, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-105 - mAh/mAh-3-1: MultiPolygon touching MultiPolygon (float)" do a = "MULTIPOLYGON(((110.0 110.0,70.0 200.0,150.0 200.0,110.0 110.0),(110.0 110.0,100.0 180.0,120.0 180.0,110.0 110.0)),((110.0 110.0,150.0 20.0,70.0 20.0,110.0 110.0),(110.0 110.0,120.0 40.0,100.0 40.0,110.0 110.0)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,160.0 160.0,210.0 110.0,160.0 60.0,110.0 110.0),(110.0 110.0,160.0 130.0,160.0 90.0,110.0 110.0)),((110.0 110.0,60.0 60.0,10.0 110.0,60.0 160.0,110.0 110.0),(110.0 110.0,60.0 90.0,60.0 130.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-106 - mAh/mAh-3-2: MultiPolygon touching MultiPolygon" do a = "MULTIPOLYGON (((110 110, 70 200, 200 200, 110 110),(110 110, 100 180, 120 180, 110 110)),((110 110, 200 20, 70 20, 110 110),(110 110, 120 40, 100 40, 110 110)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 160 160, 210 110, 160 60, 110 110),(110 110, 160 130, 160 90, 110 110)),((110 110, 60 60, 10 110, 60 160, 110 110),(110 110, 60 90, 60 130, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-106 - mAh/mAh-3-2: MultiPolygon touching MultiPolygon (float)" do a = "MULTIPOLYGON(((110.0 110.0,70.0 200.0,200.0 200.0,110.0 110.0),(110.0 110.0,100.0 180.0,120.0 180.0,110.0 110.0)),((110.0 110.0,200.0 20.0,70.0 20.0,110.0 110.0),(110.0 110.0,120.0 40.0,100.0 40.0,110.0 110.0)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,160.0 160.0,210.0 110.0,160.0 60.0,110.0 110.0),(110.0 110.0,160.0 130.0,160.0 90.0,110.0 110.0)),((110.0 110.0,60.0 60.0,10.0 110.0,60.0 160.0,110.0 110.0),(110.0 110.0,60.0 90.0,60.0 130.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-107 - mAh/mAh-3-3: MultiPolygon touching MultiPolygon" do a = "MULTIPOLYGON (((110 110, 20 200, 200 200, 110 110),(110 110, 100 180, 120 180, 110 110)),((110 110, 200 20, 20 20, 110 110),(110 110, 120 40, 100 40, 110 110)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 160 160, 210 110, 160 60, 110 110),(110 110, 160 130, 160 90, 110 110)),((110 110, 60 60, 10 110, 60 160, 110 110),(110 110, 60 90, 60 130, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-107 - mAh/mAh-3-3: MultiPolygon touching MultiPolygon (float)" do a = "MULTIPOLYGON(((110.0 110.0,20.0 200.0,200.0 200.0,110.0 110.0),(110.0 110.0,100.0 180.0,120.0 180.0,110.0 110.0)),((110.0 110.0,200.0 20.0,20.0 20.0,110.0 110.0),(110.0 110.0,120.0 40.0,100.0 40.0,110.0 110.0)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,160.0 160.0,210.0 110.0,160.0 60.0,110.0 110.0),(110.0 110.0,160.0 130.0,160.0 90.0,110.0 110.0)),((110.0 110.0,60.0 60.0,10.0 110.0,60.0 160.0,110.0 110.0),(110.0 110.0,60.0 90.0,60.0 130.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-108 - mAh/mAh-6-1: MultiPolygon touching MultiPolygon" do a = "MULTIPOLYGON (((110 110, 70 200, 200 200, 110 110),(110 110, 100 180, 120 180, 110 110)),((110 110, 200 20, 70 20, 110 110),(110 110, 120 40, 100 40, 110 110)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 160 160, 210 110, 160 60, 110 110),(110 110, 160 130, 160 90, 110 110)),((110 110, 60 60, 10 110, 60 160, 110 110),(110 110, 60 90, 60 130, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-108 - mAh/mAh-6-1: MultiPolygon touching MultiPolygon (float)" do a = "MULTIPOLYGON(((110.0 110.0,70.0 200.0,200.0 200.0,110.0 110.0),(110.0 110.0,100.0 180.0,120.0 180.0,110.0 110.0)),((110.0 110.0,200.0 20.0,70.0 20.0,110.0 110.0),(110.0 110.0,120.0 40.0,100.0 40.0,110.0 110.0)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,160.0 160.0,210.0 110.0,160.0 60.0,110.0 110.0),(110.0 110.0,160.0 130.0,160.0 90.0,110.0 110.0)),((110.0 110.0,60.0 60.0,10.0 110.0,60.0 160.0,110.0 110.0),(110.0 110.0,60.0 90.0,60.0 130.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-109 - mAh/mAh-6-2: MultiPolygon touching MultiPolygon" do a = "MULTIPOLYGON (((110 110, 70 200, 200 200, 110 110),(110 110, 100 180, 120 180, 110 110)),((110 110, 200 20, 70 20, 110 110),(110 110, 120 40, 100 40, 110 110)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((110 110, 70 200, 210 110, 70 20, 110 110),(110 110, 110 140, 150 110, 110 80, 110 110)),((110 110, 60 60, 10 110, 60 160, 110 110),(110 110, 60 90, 60 130, 110 110)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "07-109 - mAh/mAh-6-2: MultiPolygon touching MultiPolygon (float)" do a = "MULTIPOLYGON(((110.0 110.0,70.0 200.0,200.0 200.0,110.0 110.0),(110.0 110.0,100.0 180.0,120.0 180.0,110.0 110.0)),((110.0 110.0,200.0 20.0,70.0 20.0,110.0 110.0),(110.0 110.0,120.0 40.0,100.0 40.0,110.0 110.0)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((110.0 110.0,70.0 200.0,210.0 110.0,70.0 20.0,110.0 110.0),(110.0 110.0,110.0 140.0,150.0 110.0,110.0 80.0,110.0 110.0)),((110.0 110.0,60.0 60.0,10.0 110.0,60.0 160.0,110.0 110.0),(110.0 110.0,60.0 90.0,60.0 130.0,110.0 110.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/polygon_polygon_b_test.exs ================================================ defmodule Intersect.Validation.PolygonPolygonBTest do use ExUnit.Case @tag :validation test "14-001 - AA - simple polygons" do a = "POLYGON ((10 10, 100 10, 100 100, 10 100, 10 10))" |> Geo.WKT.decode!() b = "POLYGON ((50 50, 200 50, 200 200, 50 200, 50 50))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-001 - AA - simple polygons (float)" do a = "POLYGON((10.0 10.0,100.0 10.0,100.0 100.0,10.0 100.0,10.0 10.0))" |> Geo.WKT.decode!() b = "POLYGON((50.0 50.0,200.0 50.0,200.0 200.0,50.0 200.0,50.0 50.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-002 - AA - A with hole intersecting B" do a = "POLYGON ((20 20, 20 160, 160 160, 160 20, 20 20),(140 140, 40 140, 40 40, 140 40, 140 140))" |> Geo.WKT.decode!() b = "POLYGON ((80 100, 220 100, 220 240, 80 240, 80 100))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-002 - AA - A with hole intersecting B (float)" do a = "POLYGON((20.0 20.0,20.0 160.0,160.0 160.0,160.0 20.0,20.0 20.0),(140.0 140.0,40.0 140.0,40.0 40.0,140.0 40.0,140.0 140.0))" |> Geo.WKT.decode!() b = "POLYGON((80.0 100.0,220.0 100.0,220.0 240.0,80.0 240.0,80.0 100.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-003 - AA - simple polygons #2" do a = "POLYGON ((20 340, 330 380, 50 40, 20 340))" |> Geo.WKT.decode!() b = "POLYGON ((210 320, 140 270, 0 270, 140 220, 210 320))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-003 - AA - simple polygons #2 (float)" do a = "POLYGON((20.0 340.0,330.0 380.0,50.0 40.0,20.0 340.0))" |> Geo.WKT.decode!() b = "POLYGON((210.0 320.0,140.0 270.0,0.0 270.0,140.0 220.0,210.0 320.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-004 - AA - simple polygons intersecting in P, L and A" do a = "POLYGON ((0 0, 110 0, 110 60, 40 60, 180 140, 40 220, 110 260, 0 260, 0 0))" |> Geo.WKT.decode!() b = "POLYGON ((220 0, 110 0, 110 60, 180 60, 40 140, 180 220, 110 260, 220 260, 220 0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-004 - AA - simple polygons intersecting in P, L and A (float)" do a = "POLYGON((0.0 0.0,110.0 0.0,110.0 60.0,40.0 60.0,180.0 140.0,40.0 220.0,110.0 260.0,0.0 260.0,0.0 0.0))" |> Geo.WKT.decode!() b = "POLYGON((220.0 0.0,110.0 0.0,110.0 60.0,180.0 60.0,40.0 140.0,180.0 220.0,110.0 260.0,220.0 260.0,220.0 0.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-005 - AA - simple polygons with two touching holes in their symDifference" do a = "POLYGON ((0 0, 120 0, 120 50, 50 50, 120 100, 50 150, 120 150, 120 190, 0 190, 0 0))" |> Geo.WKT.decode!() b = "POLYGON ((230 0, 120 0, 120 50, 190 50, 120 100, 190 150, 120 150, 120 190, 230 190, 230 0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-005 - AA - simple polygons with two touching holes in their symDifference (float)" do a = "POLYGON((0.0 0.0,120.0 0.0,120.0 50.0,50.0 50.0,120.0 100.0,50.0 150.0,120.0 150.0,120.0 190.0,0.0 190.0,0.0 0.0))" |> Geo.WKT.decode!() b = "POLYGON((230.0 0.0,120.0 0.0,120.0 50.0,190.0 50.0,120.0 100.0,190.0 150.0,120.0 150.0,120.0 190.0,230.0 190.0,230.0 0.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-006 - AmA - A simple, symDiff contains inversion" do a = "POLYGON ((0 0, 210 0, 210 230, 0 230, 0 0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((40 20, 0 0, 20 40, 60 60, 40 20)),((60 90, 60 60, 90 60, 90 90, 60 90)),((70 120, 90 90, 100 120, 70 120)),((120 70, 90 90, 120 100, 120 70)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-006 - AmA - A simple, symDiff contains inversion (float)" do a = "POLYGON((0.0 0.0,210.0 0.0,210.0 230.0,0.0 230.0,0.0 0.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((40.0 20.0,0.0 0.0,20.0 40.0,60.0 60.0,40.0 20.0)),((60.0 90.0,60.0 60.0,90.0 60.0,90.0 90.0,60.0 90.0)),((70.0 120.0,90.0 90.0,100.0 120.0,70.0 120.0)),((120.0 70.0,90.0 90.0,120.0 100.0,120.0 70.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-007 - AmA - A simple, B connected multiPolygon touching A at vertex" do a = "POLYGON ((0 0, 340 0, 340 300, 0 300, 0 0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((40 20, 0 0, 20 40, 60 60, 40 20)),((60 100, 60 60, 100 60, 100 100, 60 100)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-007 - AmA - A simple, B connected multiPolygon touching A at vertex (float)" do a = "POLYGON((0.0 0.0,340.0 0.0,340.0 300.0,0.0 300.0,0.0 0.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((40.0 20.0,0.0 0.0,20.0 40.0,60.0 60.0,40.0 20.0)),((60.0 100.0,60.0 60.0,100.0 60.0,100.0 100.0,60.0 100.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-008 - AmA - A simple, B connected multiPolygon touching A at interior of edge" do a = "POLYGON ((0 0, 120 0, 120 120, 0 120, 0 0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((60 20, 0 20, 60 60, 60 20)),((60 100, 60 60, 100 60, 100 100, 60 100)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-008 - AmA - A simple, B connected multiPolygon touching A at interior of edge (float)" do a = "POLYGON((0.0 0.0,120.0 0.0,120.0 120.0,0.0 120.0,0.0 0.0))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((60.0 20.0,0.0 20.0,60.0 60.0,60.0 20.0)),((60.0 100.0,60.0 60.0,100.0 60.0,100.0 100.0,60.0 100.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == true assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-009 - AA - simple polygons with holes" do a = "POLYGON ((160 330, 60 260, 20 150, 60 40, 190 20, 270 130, 260 250, 160 330),(140 240, 80 190, 90 100, 160 70, 210 130, 210 210, 140 240))" |> Geo.WKT.decode!() b = "POLYGON ((300 330, 190 270, 150 170, 150 110, 250 30, 380 50, 380 250, 300 330),(290 240, 240 200, 240 110, 290 80, 330 170, 290 240))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-009 - AA - simple polygons with holes (float)" do a = "POLYGON((160.0 330.0,60.0 260.0,20.0 150.0,60.0 40.0,190.0 20.0,270.0 130.0,260.0 250.0,160.0 330.0),(140.0 240.0,80.0 190.0,90.0 100.0,160.0 70.0,210.0 130.0,210.0 210.0,140.0 240.0))" |> Geo.WKT.decode!() b = "POLYGON((300.0 330.0,190.0 270.0,150.0 170.0,150.0 110.0,250.0 30.0,380.0 50.0,380.0 250.0,300.0 330.0),(290.0 240.0,240.0 200.0,240.0 110.0,290.0 80.0,330.0 170.0,290.0 240.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-010 - mAmA - complex polygons touching and overlapping" do a = "MULTIPOLYGON (((120 340, 120 200, 140 200, 140 280, 160 280, 160 200, 180 200, 180 280, 200 280, 200 200, 220 200, 220 340, 120 340)),((360 200, 220 200, 220 180, 300 180, 300 160, 220 160, 220 140, 300 140, 300 120, 220 120, 220 100, 360 100, 360 200)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((100 220, 100 200, 300 200, 300 220, 100 220)),((280 180, 280 160, 300 160, 300 180, 280 180)),((220 140, 220 120, 240 120, 240 140, 220 140)),((180 220, 160 240, 200 240, 180 220)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-010 - mAmA - complex polygons touching and overlapping (float)" do a = "MULTIPOLYGON(((120.0 340.0,120.0 200.0,140.0 200.0,140.0 280.0,160.0 280.0,160.0 200.0,180.0 200.0,180.0 280.0,200.0 280.0,200.0 200.0,220.0 200.0,220.0 340.0,120.0 340.0)),((360.0 200.0,220.0 200.0,220.0 180.0,300.0 180.0,300.0 160.0,220.0 160.0,220.0 140.0,300.0 140.0,300.0 120.0,220.0 120.0,220.0 100.0,360.0 100.0,360.0 200.0)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((100.0 220.0,100.0 200.0,300.0 200.0,300.0 220.0,100.0 220.0)),((280.0 180.0,280.0 160.0,300.0 160.0,300.0 180.0,280.0 180.0)),((220.0 140.0,220.0 120.0,240.0 120.0,240.0 140.0,220.0 140.0)),((180.0 220.0,160.0 240.0,200.0 240.0,180.0 220.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-011 - mAmA - complex polygons touching" do a = "MULTIPOLYGON (((100 200, 100 180, 120 180, 120 200, 100 200)),((60 240, 60 140, 220 140, 220 160, 160 160, 160 180, 200 180, 200 200, 160 200, 160 220, 220 220, 220 240, 60 240),(80 220, 80 160, 140 160, 140 220, 80 220)),((280 220, 240 180, 260 160, 300 200, 280 220)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON (((80 220, 80 160, 140 160, 140 220, 80 220),(100 200, 100 180, 120 180, 120 200, 100 200)),((220 240, 220 220, 160 220, 160 200, 220 200, 220 180, 160 180, 160 160, 220 160, 220 140, 320 140, 320 240, 220 240),(240 220, 240 160, 300 160, 300 220, 240 220)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-011 - mAmA - complex polygons touching (float)" do a = "MULTIPOLYGON(((100.0 200.0,100.0 180.0,120.0 180.0,120.0 200.0,100.0 200.0)),((60.0 240.0,60.0 140.0,220.0 140.0,220.0 160.0,160.0 160.0,160.0 180.0,200.0 180.0,200.0 200.0,160.0 200.0,160.0 220.0,220.0 220.0,220.0 240.0,60.0 240.0),(80.0 220.0,80.0 160.0,140.0 160.0,140.0 220.0,80.0 220.0)),((280.0 220.0,240.0 180.0,260.0 160.0,300.0 200.0,280.0 220.0)))" |> Geo.WKT.decode!() b = "MULTIPOLYGON(((80.0 220.0,80.0 160.0,140.0 160.0,140.0 220.0,80.0 220.0),(100.0 200.0,100.0 180.0,120.0 180.0,120.0 200.0,100.0 200.0)),((220.0 240.0,220.0 220.0,160.0 220.0,160.0 200.0,220.0 200.0,220.0 180.0,160.0 180.0,160.0 160.0,220.0 160.0,220.0 140.0,320.0 140.0,320.0 240.0,220.0 240.0),(240.0 220.0,240.0 160.0,300.0 160.0,300.0 220.0,240.0 220.0)))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-012 - AA - hole intersecting boundary to produce line" do a = "POLYGON ((60 160, 140 160, 140 60, 60 60, 60 160))" |> Geo.WKT.decode!() b = "POLYGON ((160 160, 100 160, 100 100, 160 100, 160 160),(140 140, 120 140, 120 120, 140 120, 140 140))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "14-012 - AA - hole intersecting boundary to produce line (float)" do a = "POLYGON((60.0 160.0,140.0 160.0,140.0 60.0,60.0 60.0,60.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((160.0 160.0,100.0 160.0,100.0 100.0,160.0 100.0,160.0 160.0),(140.0 140.0,120.0 140.0,120.0 120.0,140.0 120.0,140.0 140.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end ================================================ FILE: test/validation/polygon_polygon_precision_test.exs ================================================ defmodule Intersect.Validation.PolygonPolygonPrecisionTest do use ExUnit.Case @tag :validation test "18-001 - AA - sliver triangle, cut by polygon" do a = "POLYGON ((10 10, 100 10, 10 11, 10 10))" |> Geo.WKT.decode!() b = "POLYGON ((90 0, 200 0, 200 200, 90 200, 90 0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-001 - AA - sliver triangle, cut by polygon (float)" do a = "POLYGON((10.0 10.0,100.0 10.0,10.0 11.0,10.0 10.0))" |> Geo.WKT.decode!() b = "POLYGON((90.0 0.0,200.0 0.0,200.0 200.0,90.0 200.0,90.0 0.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-002 - AA - polygon with outward sliver, cut by polygon" do a = "POLYGON ((100 10, 10 10, 90 11, 90 20, 100 20, 100 10))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 0 20, 0 0, 20 0, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-002 - AA - polygon with outward sliver, cut by polygon (float)" do a = "POLYGON((100.0 10.0,10.0 10.0,90.0 11.0,90.0 20.0,100.0 20.0,100.0 10.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,0.0 20.0,0.0 0.0,20.0 0.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-003 - AA - narrow wedge in polygon" do a = "POLYGON ((10 10, 50 10, 50 50, 10 50, 10 31, 49 30, 10 30, 10 10))" |> Geo.WKT.decode!() b = "POLYGON ((60 40, 40 40, 40 20, 60 20, 60 40))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-003 - AA - narrow wedge in polygon (float)" do a = "POLYGON((10.0 10.0,50.0 10.0,50.0 50.0,10.0 50.0,10.0 31.0,49.0 30.0,10.0 30.0,10.0 10.0))" |> Geo.WKT.decode!() b = "POLYGON((60.0 40.0,40.0 40.0,40.0 20.0,60.0 20.0,60.0 40.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-004 - AA - hole close to shell" do a = "POLYGON ((10 100, 10 10, 100 10, 100 100, 10 100),(90 90, 11 90, 10 10, 90 11, 90 90))" |> Geo.WKT.decode!() b = "POLYGON ((0 30, 0 0, 30 0, 30 30, 0 30))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-004 - AA - hole close to shell (float)" do a = "POLYGON((10.0 100.0,10.0 10.0,100.0 10.0,100.0 100.0,10.0 100.0),(90.0 90.0,11.0 90.0,10.0 10.0,90.0 11.0,90.0 90.0))" |> Geo.WKT.decode!() b = "POLYGON((0.0 30.0,0.0 0.0,30.0 0.0,30.0 30.0,0.0 30.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-005 - mAA - shells close together" do a = "MULTIPOLYGON (((0 0, 100 0, 100 20, 0 20, 0 0)),((0 40, 0 21, 100 20, 100 40, 0 40)))" |> Geo.WKT.decode!() b = "POLYGON ((110 30, 90 30, 90 10, 110 10, 110 30))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-005 - mAA - shells close together (float)" do a = "MULTIPOLYGON(((0.0 0.0,100.0 0.0,100.0 20.0,0.0 20.0,0.0 0.0)),((0.0 40.0,0.0 21.0,100.0 20.0,100.0 40.0,0.0 40.0)))" |> Geo.WKT.decode!() b = "POLYGON((110.0 30.0,90.0 30.0,90.0 10.0,110.0 10.0,110.0 30.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-006 - AA - A sliver triangle cutting all the way across B" do a = "POLYGON ((100 10, 0 10, 100 11, 100 10))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 0 20, 0 0, 20 0, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-006 - AA - A sliver triangle cutting all the way across B (float)" do a = "POLYGON((100.0 10.0,0.0 10.0,100.0 11.0,100.0 10.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,0.0 20.0,0.0 0.0,20.0 0.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-007 - AA - A polygon with sliver cutting all the way across B" do a = "POLYGON ((100 10, 0 10, 90 11, 90 20, 100 20, 100 10))" |> Geo.WKT.decode!() b = "POLYGON ((20 20, 0 20, 0 0, 20 0, 20 20))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-007 - AA - A polygon with sliver cutting all the way across B (float)" do a = "POLYGON((100.0 10.0,0.0 10.0,90.0 11.0,90.0 20.0,100.0 20.0,100.0 10.0))" |> Geo.WKT.decode!() b = "POLYGON((20.0 20.0,0.0 20.0,0.0 0.0,20.0 0.0,20.0 20.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-008 - AA - hole close to shell, B coincident with A" do a = "POLYGON ((10 100, 10 10, 100 10, 100 100, 10 100),(90 90, 11 90, 10 10, 90 11, 90 90))" |> Geo.WKT.decode!() b = "POLYGON ((10 30, 10 0, 30 10, 30 30, 10 30))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-008 - AA - hole close to shell, B coincident with A (float)" do a = "POLYGON((10.0 100.0,10.0 10.0,100.0 10.0,100.0 100.0,10.0 100.0),(90.0 90.0,11.0 90.0,10.0 10.0,90.0 11.0,90.0 90.0))" |> Geo.WKT.decode!() b = "POLYGON((10.0 30.0,10.0 0.0,30.0 10.0,30.0 30.0,10.0 30.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-009 - AA - A hole close to shell, B coincident with A" do a = "POLYGON ((10 100, 10 10, 100 10, 100 100, 10 100),(90 90, 11 90, 10 10, 90 11, 90 90))" |> Geo.WKT.decode!() b = "POLYGON ((10 30, 10 10, 30 10, 30 30, 10 30))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-009 - AA - A hole close to shell, B coincident with A (float)" do a = "POLYGON((10.0 100.0,10.0 10.0,100.0 10.0,100.0 100.0,10.0 100.0),(90.0 90.0,11.0 90.0,10.0 10.0,90.0 11.0,90.0 90.0))" |> Geo.WKT.decode!() b = "POLYGON((10.0 30.0,10.0 10.0,30.0 10.0,30.0 30.0,10.0 30.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-010 - AA - B hole close to shell, A coincident with B" do a = "POLYGON ((10 30, 10 10, 30 10, 30 30, 10 30))" |> Geo.WKT.decode!() b = "POLYGON ((10 100, 10 10, 100 10, 100 100, 10 100),(90 90, 11 90, 10 10, 90 11, 90 90))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-010 - AA - B hole close to shell, A coincident with B (float)" do a = "POLYGON((10.0 30.0,10.0 10.0,30.0 10.0,30.0 30.0,10.0 30.0))" |> Geo.WKT.decode!() b = "POLYGON((10.0 100.0,10.0 10.0,100.0 10.0,100.0 100.0,10.0 100.0),(90.0 90.0,11.0 90.0,10.0 10.0,90.0 11.0,90.0 90.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-011 - AA - B sliver crossing A triangle in line segment with length < 1" do a = "POLYGON ((0 0, 200 0, 0 198, 0 0))" |> Geo.WKT.decode!() b = "POLYGON ((280 60, 139 60, 280 70, 280 60))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-011 - AA - B sliver crossing A triangle in line segment with length < 1 (float)" do a = "POLYGON((0.0 0.0,200.0 0.0,0.0 198.0,0.0 0.0))" |> Geo.WKT.decode!() b = "POLYGON((280.0 60.0,139.0 60.0,280.0 70.0,280.0 60.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-012 - AA - sliver triangles, at angle to each other" do a = "POLYGON ((0 0, 140 10, 0 20, 0 0))" |> Geo.WKT.decode!() b = "POLYGON ((280 0, 139 10, 280 1, 280 0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-012 - AA - sliver triangles, at angle to each other (float)" do a = "POLYGON((0.0 0.0,140.0 10.0,0.0 20.0,0.0 0.0))" |> Geo.WKT.decode!() b = "POLYGON((280.0 0.0,139.0 10.0,280.0 1.0,280.0 0.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-013 - AA - sliver triangle with multiple intersecting boxes" do a = "MULTIPOLYGON (((1 4, 1 1, 2 1, 2 4, 1 4)),((3 4, 3 1, 4 1, 4 4, 3 4)),((5 4, 5 1, 6 1, 6 4, 5 4)),((7 4, 7 1, 8 1, 8 4, 7 4)),((9 4, 9 1, 10 1, 10 4, 9 4)))" |> Geo.WKT.decode!() b = "POLYGON ((0 2, 11 3, 11 2, 0 2))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-013 - AA - sliver triangle with multiple intersecting boxes (float)" do a = "MULTIPOLYGON(((1.0 4.0,1.0 1.0,2.0 1.0,2.0 4.0,1.0 4.0)),((3.0 4.0,3.0 1.0,4.0 1.0,4.0 4.0,3.0 4.0)),((5.0 4.0,5.0 1.0,6.0 1.0,6.0 4.0,5.0 4.0)),((7.0 4.0,7.0 1.0,8.0 1.0,8.0 4.0,7.0 4.0)),((9.0 4.0,9.0 1.0,10.0 1.0,10.0 4.0,9.0 4.0)))" |> Geo.WKT.decode!() b = "POLYGON((0.0 2.0,11.0 3.0,11.0 2.0,0.0 2.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-014 - AA - Polygon with hole with outward sliver, cut by polygon" do a = "POLYGON ((20 40, 20 200, 180 200, 180 40, 20 40),(180 120, 120 120, 120 160, 60 120, 120 80, 120 119, 180 120))" |> Geo.WKT.decode!() b = "POLYGON ((200 160, 160 160, 160 80, 200 80, 200 160))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-014 - AA - Polygon with hole with outward sliver, cut by polygon (float)" do a = "POLYGON((20.0 40.0,20.0 200.0,180.0 200.0,180.0 40.0,20.0 40.0),(180.0 120.0,120.0 120.0,120.0 160.0,60.0 120.0,120.0 80.0,120.0 119.0,180.0 120.0))" |> Geo.WKT.decode!() b = "POLYGON((200.0 160.0,160.0 160.0,160.0 80.0,200.0 80.0,200.0 160.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-015 - AA - Polygon with hole with outward sliver, cut by line" do a = "POLYGON ((20 40, 20 200, 180 200, 180 40, 20 40),(180 120, 120 120, 120 160, 60 120, 120 80, 120 119, 180 120))" |> Geo.WKT.decode!() b = "LINESTRING (160 140, 160 100)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-015 - AA - Polygon with hole with outward sliver, cut by line (float)" do a = "POLYGON((20.0 40.0,20.0 200.0,180.0 200.0,180.0 40.0,20.0 40.0),(180.0 120.0,120.0 120.0,120.0 160.0,60.0 120.0,120.0 80.0,120.0 119.0,180.0 120.0))" |> Geo.WKT.decode!() b = "LINESTRING(160.0 140.0,160.0 100.0)" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-016 - AA - Polygon with inward sliver touching hole, cut by polygon" do a = "POLYGON ((20 40, 20 200, 180 200, 180 120, 140 120, 180 119, 180 40, 20 40),(140 160, 80 120, 140 80, 140 160))" |> Geo.WKT.decode!() b = "POLYGON ((200 160, 150 160, 150 80, 200 80, 200 160))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-016 - AA - Polygon with inward sliver touching hole, cut by polygon (float)" do a = "POLYGON((20.0 40.0,20.0 200.0,180.0 200.0,180.0 120.0,140.0 120.0,180.0 119.0,180.0 40.0,20.0 40.0),(140.0 160.0,80.0 120.0,140.0 80.0,140.0 160.0))" |> Geo.WKT.decode!() b = "POLYGON((200.0 160.0,150.0 160.0,150.0 80.0,200.0 80.0,200.0 160.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-017 - AA - intersecting slivers, dimensional collapse" do a = "POLYGON ((83 33, 62 402, 68 402, 83 33))" |> Geo.WKT.decode!() b = "POLYGON ((78 39, 574 76, 576 60, 78 39))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end @tag :validation test "18-017 - AA - intersecting slivers, dimensional collapse (float)" do a = "POLYGON((83.0 33.0,62.0 402.0,68.0 402.0,83.0 33.0))" |> Geo.WKT.decode!() b = "POLYGON((78.0 39.0,574.0 76.0,576.0 60.0,78.0 39.0))" |> Geo.WKT.decode!() assert Topo.intersects?(a, b) == true assert Topo.intersects?(b, a) == true assert Topo.disjoint?(a, b) == false assert Topo.disjoint?(b, a) == false assert Topo.contains?(a, b) == false assert Topo.within?(a, b) == false assert Topo.equals?(a, b) == false assert Topo.equals?(b, a) == false end end