Repository: keijiro/BurstFFT
Branch: main
Commit: a9d6ae0d838e
Files: 50
Total size: 79.3 KB
Directory structure:
gitextract_jh05flra/
├── .gitattributes
├── .gitignore
├── Assets/
│ ├── BurstDft.cs
│ ├── BurstDft.cs.meta
│ ├── BurstFft.cs
│ ├── BurstFft.cs.meta
│ ├── IDft.cs
│ ├── IDft.cs.meta
│ ├── NaiveDft.cs
│ ├── NaiveDft.cs.meta
│ ├── Test.cs
│ ├── Test.cs.meta
│ ├── Test.unity
│ ├── Test.unity.meta
│ ├── UI/
│ │ ├── DefaultTheme.tss
│ │ ├── DefaultTheme.tss.meta
│ │ ├── PanelSettings.asset
│ │ ├── PanelSettings.asset.meta
│ │ ├── Test.uxml
│ │ └── Test.uxml.meta
│ ├── UI.meta
│ ├── Utils.cs
│ └── Utils.cs.meta
├── LICENSE
├── Packages/
│ ├── manifest.json
│ └── packages-lock.json
├── ProjectSettings/
│ ├── AudioManager.asset
│ ├── ClusterInputManager.asset
│ ├── DynamicsManager.asset
│ ├── EditorBuildSettings.asset
│ ├── EditorSettings.asset
│ ├── GraphicsSettings.asset
│ ├── InputManager.asset
│ ├── MemorySettings.asset
│ ├── MultiplayerManager.asset
│ ├── NavMeshAreas.asset
│ ├── PackageManagerSettings.asset
│ ├── Physics2DSettings.asset
│ ├── PresetManager.asset
│ ├── ProjectSettings.asset
│ ├── ProjectVersion.txt
│ ├── QualitySettings.asset
│ ├── SceneTemplateSettings.json
│ ├── TagManager.asset
│ ├── TimeManager.asset
│ ├── UnityConnectSettings.asset
│ ├── VFXManager.asset
│ ├── VersionControlSettings.asset
│ └── XRSettings.asset
└── README.md
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FILE CONTENTS
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FILE: .gitattributes
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* -text
*.cs text eol=lf diff=csharp
*.shader text eol=lf
*.cginc text eol=lf
*.hlsl text eol=lf
*.compute text eol=lf
*.meta text eol=lf
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FILE: .gitignore
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Thumbs.db
Desktop.ini
.DS_Store
*.swp
/GeneratedAssets
/Library
/Logs
/Recordings
/Temp
/UIElementsSchema
/UserSettings
/.utmp
/mono_crash.*.json
/Xcode
/Web
/*.app
/*.exe
/*.apk
/*_DoNotShip
/*.tgz
================================================
FILE: Assets/BurstDft.cs
================================================
using System.Linq;
using Unity.Collections;
using Unity.Jobs;
using Unity.Mathematics;
// Naive DFT vectorized/parallelized with the Burst compiler
public sealed class BurstDft : IDft, System.IDisposable
{
#region Public properties and methods
public NativeArray<float> Spectrum => _buffer;
public BurstDft(int width)
{
// DFT coefficients
var coeffs = Enumerable.Range(0, width / 2 * width).
Select(i => (k: i / width, n: i % width)).
Select(I => 2 * math.PI / width * I.k * I.n);
var coeffs_r = coeffs.Select(x => math.cos(x));
var coeffs_i = coeffs.Select(x => math.sin(x));
_coeffs_r = PersistentMemory.New<float>(coeffs_r);
_coeffs_i = PersistentMemory.New<float>(coeffs_i);
// Output buffer
_buffer = PersistentMemory.New<float>(width / 2);
}
public void Dispose()
{
if (_coeffs_r.IsCreated) _coeffs_r.Dispose();
if (_coeffs_i.IsCreated) _coeffs_i.Dispose();
if (_buffer.IsCreated) _buffer.Dispose();
}
public void Transform(NativeArray<float> input)
{
// Dispatch and complete the DFT jobs with the input.
new DftJob
{ I = input.Reinterpret<float4>(4),
Cr = _coeffs_r.Reinterpret<float4>(4),
Ci = _coeffs_i.Reinterpret<float4>(4),
O = _buffer }
.Schedule(input.Length / 2, 1).Complete();
}
#endregion
#region Private members
NativeArray<float> _coeffs_r;
NativeArray<float> _coeffs_i;
NativeArray<float> _buffer;
#endregion
#region DFT job
[Unity.Burst.BurstCompile(CompileSynchronously = true)]
struct DftJob : IJobParallelFor
{
[ReadOnly] public NativeArray<float4> I;
[ReadOnly] public NativeArray<float4> Cr;
[ReadOnly] public NativeArray<float4> Ci;
[WriteOnly] public NativeArray<float> O;
public void Execute(int i)
{
var N = I.Length;
var offs = i * N;
var rl = 0.0f;
var im = 0.0f;
for (var n = 0; n < N; n++)
{
var x = I[n];
rl += math.dot(x, Cr[offs + n]);
im -= math.dot(x, Ci[offs + n]);
}
O[i] = math.sqrt(rl * rl + im * im) * 0.5f / N;
}
}
#endregion
}
================================================
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================================================
FILE: Assets/BurstFft.cs
================================================
#define SINGLE_THREAD
using System.Linq;
using Unity.Collections;
using Unity.Mathematics;
using Unity.Jobs;
// Cooley–Tukey FFT vectorized/parallelized with the Burst compiler
public sealed class BurstFft : IDft, System.IDisposable
{
#region Public properties and methods
public NativeArray<float> Spectrum => _O;
public BurstFft(int width)
{
_N = width;
_logN = (int)math.log2(width);
BuildPermutationTable();
BuildTwiddleFactors();
_O = PersistentMemory.New<float>(_N);
}
public void Dispose()
{
if (_P.IsCreated) _P.Dispose();
if (_T.IsCreated) _T.Dispose();
if (_O.IsCreated) _O.Dispose();
}
#if SINGLE_THREAD
public void Transform(NativeArray<float> input)
{
var X = TempJobMemory.New<float4>(_N / 2);
// Bit-reversal permutation and first DFT pass
new FirstPassJob { I = input, P = _P, X = X }.Run(_N / 2);
// 2nd and later DFT passes
for (var i = 0; i < _logN - 1; i++)
{
var T_slice = new NativeSlice<TFactor>(_T, _N / 4 * i);
new DftPassJob { T = T_slice, X = X }.Run(_N / 4);
}
// Postprocess (power spectrum calculation)
var O2 = _O.Reinterpret<float2>(sizeof(float));
new PostprocessJob { X = X, O = O2, s = 2.0f / _N }.Run(_N / 2);
X.Dispose();
}
#else
public void Transform(NativeArray<float> input)
{
var X = TempJobMemory.New<float4>(_N / 2);
// Bit-reversal permutation and first DFT pass
var handle = new FirstPassJob { I = input, P = _P, X = X }
.Schedule(_N / 2, 32);
// 2nd and later DFT passes
for (var i = 0; i < _logN - 1; i++)
{
var T_slice = new NativeSlice<TFactor>(_T, _N / 4 * i);
handle = new DftPassJob { T = T_slice, X = X }
.Schedule(_N / 4, 32, handle);
}
// Postprocess (power spectrum calculation)
var O2 = _O.Reinterpret<float2>(sizeof(float));
handle = new PostprocessJob { X = X, O = O2, s = 2.0f / _N }
.Schedule(_N / 2, 32, handle);
handle.Complete();
X.Dispose();
}
#endif
#endregion
#region Private members
readonly int _N;
readonly int _logN;
NativeArray<float> _O;
#endregion
#region Bit-reversal permutation table
NativeArray<int2> _P;
void BuildPermutationTable()
{
_P = PersistentMemory.New<int2>(_N / 2);
for (var i = 0; i < _N; i += 2)
_P[i / 2] = math.int2(Permutate(i), Permutate(i + 1));
}
int Permutate(int x)
=> Enumerable.Range(0, _logN)
.Aggregate(0, (acc, i) => acc += ((x >> i) & 1) << (_logN - 1 - i));
#endregion
#region Precalculated twiddle factors
struct TFactor
{
public int2 I;
public float2 W;
public int i1 => I.x;
public int i2 => I.y;
public float4 W4
=> math.float4(W.x, math.sqrt(1 - W.x * W.x),
W.y, math.sqrt(1 - W.y * W.y));
}
NativeArray<TFactor> _T;
void BuildTwiddleFactors()
{
_T = PersistentMemory.New<TFactor>((_logN - 1) * (_N / 4));
var i = 0;
for (var m = 4; m <= _N; m <<= 1)
for (var k = 0; k < _N; k += m)
for (var j = 0; j < m / 2; j += 2)
_T[i++] = new TFactor
{ I = math.int2((k + j) / 2, (k + j + m / 2) / 2),
W = math.cos(-2 * math.PI / m * math.float2(j, j + 1)) };
}
#endregion
#region First pass job
[Unity.Burst.BurstCompile(CompileSynchronously = true)]
struct FirstPassJob : IJobParallelFor
{
[ReadOnly] public NativeArray<float> I;
[ReadOnly] public NativeArray<int2> P;
[WriteOnly] public NativeArray<float4> X;
public void Execute(int i)
{
var a1 = I[P[i].x];
var a2 = I[P[i].y];
X[i] = math.float4(a1 + a2, 0, a1 - a2, 0);
}
}
#endregion
#region DFT pass job
[Unity.Burst.BurstCompile(CompileSynchronously = true)]
struct DftPassJob : IJobParallelFor
{
[ReadOnly] public NativeSlice<TFactor> T;
[NativeDisableParallelForRestriction] public NativeArray<float4> X;
static float4 Mulc(float4 a, float4 b)
=> a.xxzz * b.xyzw + math.float4(-1, 1, -1, 1) * a.yyww * b.yxwz;
public void Execute(int i)
{
var t = T[i];
var e = X[t.i1];
var o = Mulc(t.W4, X[t.i2]);
X[t.i1] = e + o;
X[t.i2] = e - o;
}
}
#endregion
#region Postprocess Job
[Unity.Burst.BurstCompile(CompileSynchronously = true)]
struct PostprocessJob : IJobParallelFor
{
[ReadOnly] public NativeArray<float4> X;
[WriteOnly] public NativeArray<float2> O;
public float s;
public void Execute(int i)
{
var x = X[i];
O[i] = math.float2(math.length(x.xy), math.length(x.zw)) * s;
}
}
#endregion
}
================================================
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================================================
FILE: Assets/IDft.cs
================================================
using Unity.Collections;
public interface IDft
{
NativeArray<float> Spectrum { get; }
void Transform(NativeArray<float> input);
}
================================================
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================================================
FILE: Assets/NaiveDft.cs
================================================
using Unity.Collections;
using Unity.Mathematics;
// Naive DFT implementation
public sealed class NaiveDft : IDft, System.IDisposable
{
public NativeArray<float> Spectrum => _buffer;
NativeArray<float> _buffer;
public NaiveDft(int width)
=> _buffer = PersistentMemory.New<float>(width / 2);
public void Dispose()
{
if (_buffer.IsCreated) _buffer.Dispose();
}
public void Transform(NativeArray<float> input)
{
var N = _buffer.Length * 2;
for (var k = 0; k < N / 2; k++)
{
var acc = float2.zero;
for (var n = 0; n < N; n++)
{
var x = input[n];
var t = 2 * math.PI / N * k * n;
acc += math.float2(math.cos(t) * x, -math.sin(t) * x);
}
_buffer[k] = math.length(acc) * 2 / N;
}
}
}
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FILE: Assets/Test.cs
================================================
using System.Collections.Generic;
using System.Linq;
using UnityEngine;
using UnityEngine.UIElements;
using Unity.Collections;
using Unity.Mathematics;
using Stopwatch = System.Diagnostics.Stopwatch;
sealed class Test : MonoBehaviour
{
const int Width = 1024;
IEnumerable<float> TestData
=> Enumerable.Range(0, Width)
.Select(i => (float)i / Width)
.Select(x => 5 * noise.snoise(math.float2(0.324f, x * 1000))
+ math.sin(x * 33)
+ math.sin(x * 300)
+ math.sin(x * 900));
Texture2D Benchmark<TDft>(TDft dft, NativeArray<float> input)
where TDft : IDft, System.IDisposable
{
var texture = new Texture2D(Width / 2, 1, TextureFormat.RFloat, false);
// We reject the first test.
dft.Transform(input);
var sw = new System.Diagnostics.Stopwatch();
// Benchmark
const int iteration = 32;
sw.Start();
for (var i = 0; i < iteration; i++) dft.Transform(input);
sw.Stop();
// Show the average time.
var us = 1000.0 * 1000 * sw.ElapsedTicks / Stopwatch.Frequency;
Debug.Log(us / iteration);
texture.LoadRawTextureData(dft.Spectrum);
texture.Apply();
return texture;
}
Texture2D _dft1;
Texture2D _dft2;
Texture2D _fft;
void Start()
{
using (var data = TempJobMemory.New<float>(TestData))
{
using (var ft = new NaiveDft(Width)) _dft1 = Benchmark(ft, data);
using (var ft = new BurstDft(Width)) _dft2 = Benchmark(ft, data);
using (var ft = new BurstFft(Width)) _fft = Benchmark(ft, data);
}
var root = GetComponent<UIDocument>().rootVisualElement;
root.Q("image1").style.backgroundImage = _dft1;
root.Q("image2").style.backgroundImage = _dft2;
root.Q("image3").style.backgroundImage = _fft;
}
}
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FILE: Assets/Utils.cs
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using System.Collections.Generic;
using System.Linq;
using Unity.Collections;
public static class TempJobMemory
{
public static NativeArray<T> New<T>(IEnumerable<T> e) where T : unmanaged
=> new NativeArray<T>(e.ToArray(), Allocator.TempJob);
public static NativeArray<T> New<T>(int size) where T : unmanaged
=> new NativeArray<T>(size, Allocator.TempJob,
NativeArrayOptions.UninitializedMemory);
}
public static class PersistentMemory
{
public static NativeArray<T> New<T>(IEnumerable<T> e) where T : unmanaged
=> new NativeArray<T>(e.ToArray(), Allocator.Persistent);
public static NativeArray<T> New<T>(int size) where T : unmanaged
=> new NativeArray<T>(size, Allocator.Persistent,
NativeArrayOptions.UninitializedMemory);
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FILE: LICENSE
================================================
This is free and unencumbered software released into the public domain.
Anyone is free to copy, modify, publish, use, compile, sell, or
distribute this software, either in source code form or as a compiled
binary, for any purpose, commercial or non-commercial, and by any
means.
In jurisdictions that recognize copyright laws, the author or authors
of this software dedicate any and all copyright interest in the
software to the public domain. We make this dedication for the benefit
of the public at large and to the detriment of our heirs and
successors. We intend this dedication to be an overt act of
relinquishment in perpetuity of all present and future rights to this
software under copyright law.
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 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.
For more information, please refer to <https://unlicense.org>
================================================
FILE: Packages/manifest.json
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{
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BurstFFT
========
**BurstFFT** is an FFT (Fast Fourier Transform) implementation in
high-performance C# with Unity's Burst compiler.
This repository contains the following three variants of Fourier transform
implementation.
- NaiveDFT: Unoptimized naive C# implementation of DFT
- BurstDFT: Vectorized/parallelized DFT implementation, optimized with Burst
- BurstFFT: Vectorized Cooley-Tukey FFT implementation, optimized with Burst
You can also enable parallelization on BurstFFT by disabling the `SINGLE_THREAD`
symbol in `BurstFft.cs`.
Results
-------
### Windows Desktop (Ryzen 7 3700X, 3.6GHz, 8 cores)
### MacBook Pro 15 Late 2013 (Core i7, 2.3GHz, 4 cores)
Thoughts and Findings
---------------------
- It's quite easy to parallelize DFT with Unity's C# Job System. The more cores
it has, the faster it runs.
- Although the parallelized DFT runs quite fast compared to the unoptimized one,
it never beat the single-threaded FFT.
- The traditional Cooley-Tukey FFT is hard to parallelize in a performant way.
The results above show that the 8-core BurstFFT runs slower than the 4-core
one.
gitextract_jh05flra/ ├── .gitattributes ├── .gitignore ├── Assets/ │ ├── BurstDft.cs │ ├── BurstDft.cs.meta │ ├── BurstFft.cs │ ├── BurstFft.cs.meta │ ├── IDft.cs │ ├── IDft.cs.meta │ ├── NaiveDft.cs │ ├── NaiveDft.cs.meta │ ├── Test.cs │ ├── Test.cs.meta │ ├── Test.unity │ ├── Test.unity.meta │ ├── UI/ │ │ ├── DefaultTheme.tss │ │ ├── DefaultTheme.tss.meta │ │ ├── PanelSettings.asset │ │ ├── PanelSettings.asset.meta │ │ ├── Test.uxml │ │ └── Test.uxml.meta │ ├── UI.meta │ ├── Utils.cs │ └── Utils.cs.meta ├── LICENSE ├── Packages/ │ ├── manifest.json │ └── packages-lock.json ├── ProjectSettings/ │ ├── AudioManager.asset │ ├── ClusterInputManager.asset │ ├── DynamicsManager.asset │ ├── EditorBuildSettings.asset │ ├── EditorSettings.asset │ ├── GraphicsSettings.asset │ ├── InputManager.asset │ ├── MemorySettings.asset │ ├── MultiplayerManager.asset │ ├── NavMeshAreas.asset │ ├── PackageManagerSettings.asset │ ├── Physics2DSettings.asset │ ├── PresetManager.asset │ ├── ProjectSettings.asset │ ├── ProjectVersion.txt │ ├── QualitySettings.asset │ ├── SceneTemplateSettings.json │ ├── TagManager.asset │ ├── TimeManager.asset │ ├── UnityConnectSettings.asset │ ├── VFXManager.asset │ ├── VersionControlSettings.asset │ └── XRSettings.asset └── README.md
SYMBOL INDEX (37 symbols across 6 files)
FILE: Assets/BurstDft.cs
class BurstDft (line 8) | public sealed class BurstDft : IDft, System.IDisposable
method BurstDft (line 14) | public BurstDft(int width)
method Dispose (line 31) | public void Dispose()
method Transform (line 38) | public void Transform(NativeArray<float> input)
type DftJob (line 61) | [Unity.Burst.BurstCompile(CompileSynchronously = true)]
method Execute (line 69) | public void Execute(int i)
FILE: Assets/BurstFft.cs
class BurstFft (line 10) | public sealed class BurstFft : IDft, System.IDisposable
method BurstFft (line 16) | public BurstFft(int width)
method Dispose (line 27) | public void Dispose()
method Transform (line 36) | public void Transform(NativeArray<float> input)
method Transform (line 59) | public void Transform(NativeArray<float> input)
method BuildPermutationTable (line 100) | void BuildPermutationTable()
method Permutate (line 107) | int Permutate(int x)
type TFactor (line 115) | struct TFactor
method BuildTwiddleFactors (line 130) | void BuildTwiddleFactors()
type FirstPassJob (line 147) | [Unity.Burst.BurstCompile(CompileSynchronously = true)]
method Execute (line 154) | public void Execute(int i)
type DftPassJob (line 166) | [Unity.Burst.BurstCompile(CompileSynchronously = true)]
method Mulc (line 172) | static float4 Mulc(float4 a, float4 b)
method Execute (line 175) | public void Execute(int i)
type PostprocessJob (line 189) | [Unity.Burst.BurstCompile(CompileSynchronously = true)]
method Execute (line 196) | public void Execute(int i)
FILE: Assets/IDft.cs
type IDft (line 3) | public interface IDft
method Transform (line 6) | void Transform(NativeArray<float> input);
FILE: Assets/NaiveDft.cs
class NaiveDft (line 6) | public sealed class NaiveDft : IDft, System.IDisposable
method NaiveDft (line 12) | public NaiveDft(int width)
method Dispose (line 15) | public void Dispose()
method Transform (line 20) | public void Transform(NativeArray<float> input)
FILE: Assets/Test.cs
class Test (line 9) | sealed class Test : MonoBehaviour
method Benchmark (line 21) | Texture2D Benchmark<TDft>(TDft dft, NativeArray<float> input)
method Start (line 51) | void Start()
FILE: Assets/Utils.cs
class TempJobMemory (line 5) | public static class TempJobMemory
method New (line 7) | public static NativeArray<T> New<T>(IEnumerable<T> e) where T : unmanaged
method New (line 10) | public static NativeArray<T> New<T>(int size) where T : unmanaged
class PersistentMemory (line 15) | public static class PersistentMemory
method New (line 17) | public static NativeArray<T> New<T>(IEnumerable<T> e) where T : unmanaged
method New (line 20) | public static NativeArray<T> New<T>(int size) where T : unmanaged
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About this extraction
This page contains the full source code of the keijiro/BurstFFT GitHub repository, extracted and formatted as plain text for AI agents and large language models (LLMs). The extraction includes 50 files (79.3 KB), approximately 28.8k tokens, and a symbol index with 37 extracted functions, classes, methods, constants, and types. Use this with OpenClaw, Claude, ChatGPT, Cursor, Windsurf, or any other AI tool that accepts text input. You can copy the full output to your clipboard or download it as a .txt file.
Extracted by GitExtract — free GitHub repo to text converter for AI. Built by Nikandr Surkov.