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## Setup
```shell
mkdir build
cd pocketfft
gcc -std=c99 -O2 -W -Wall -fPIC -shared *.c -lm -o libpocketfft.dylib # libpocketfft.so for linux
cp libpocketfft.dylib ../build
cd ..
dotnet publish -c Release -o build ./src/pocketfft-demo.csproj
./build/Demo.PocketFFT
```

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Microsoft Visual Studio Solution File, Format Version 12.00
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "pocketfft-demo", "src\pocketfft-demo.csproj", "{65F8496F-AC3F-4440-9CFC-644E3E570203}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|Any CPU = Debug|Any CPU
Release|Any CPU = Release|Any CPU
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{65F8496F-AC3F-4440-9CFC-644E3E570203}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
{65F8496F-AC3F-4440-9CFC-644E3E570203}.Debug|Any CPU.Build.0 = Debug|Any CPU
{65F8496F-AC3F-4440-9CFC-644E3E570203}.Release|Any CPU.ActiveCfg = Release|Any CPU
{65F8496F-AC3F-4440-9CFC-644E3E570203}.Release|Any CPU.Build.0 = Release|Any CPU
EndGlobalSection
EndGlobal

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<wpf:ResourceDictionary xml:space="preserve" xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml" xmlns:s="clr-namespace:System;assembly=mscorlib" xmlns:ss="urn:shemas-jetbrains-com:settings-storage-xaml" xmlns:wpf="http://schemas.microsoft.com/winfx/2006/xaml/presentation">
<s:Boolean x:Key="/Default/UserDictionary/Words/=rfft/@EntryIndexedValue">True</s:Boolean></wpf:ResourceDictionary>

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/*
* This file is part of pocketfft.
* Licensed under a 3-clause BSD style license - see LICENSE.md
*/
/*! \file pocketfft.h
* Public interface of the pocketfft library
*
* Copyright (C) 2008-2018 Max-Planck-Society
* \author Martin Reinecke
*/
#ifndef POCKETFFT_H
#define POCKETFFT_H
#include <stdlib.h>
struct cfft_plan_i;
typedef struct cfft_plan_i * cfft_plan;
cfft_plan make_cfft_plan (size_t length);
void destroy_cfft_plan (cfft_plan plan);
int cfft_backward(cfft_plan plan, double c[], double fct);
int cfft_forward(cfft_plan plan, double c[], double fct);
size_t cfft_length(cfft_plan plan);
struct rfft_plan_i;
typedef struct rfft_plan_i * rfft_plan;
rfft_plan make_rfft_plan (size_t length);
void destroy_rfft_plan (rfft_plan plan);
int rfft_backward(rfft_plan plan, double c[], double fct);
int rfft_forward(rfft_plan plan, double c[], double fct);
size_t rfft_length(rfft_plan plan);
#endif

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using Demo.PocketFFT;
const int fftLength = 8;
var signal = new double[fftLength];
RfftPlanSafeHandle plan = new(fftLength);
// we'll use an impulse for the signal
// the FFT of an impulse is flat frequency spectrum
signal[0] = 20;
int result = Rfft.Forward(plan, signal, 1);
if (result != 0)
{
Console.WriteLine($"RFFT Forward failed with code: {result}");
return;
}
double[] freq = RfftFreq(fftLength); // the frequency are relatives to the sampling freq
double[] mag = RfftMag(signal);
Console.WriteLine("signal: " + string.Join(", ", signal.Select(d => d.ToString("F2"))));
Console.WriteLine("freq,amplitude");
for (int i = 0; i < mag.Length; i++)
{
Console.WriteLine($"{freq[i]},{mag[i]}");
}
// destroy the handle
plan.Dispose();
return;
static double[] RfftMag(double[] fftOutput)
{
int n = fftOutput.Length;
if (n == 0)
{
throw new ArgumentException("Input array cannot be empty.", nameof(fftOutput));
}
// The number of unique frequency bins is N/2 + 1 for even N,
// and (N+1)/2 for odd N. This formula works for both cases.
int numAmplitudes = (n / 2) + 1;
double[] amplitudes = new double[numAmplitudes];
// handle the DC component (frequency 0)
amplitudes[0] = fftOutput[0];
if (n % 2 == 0)
{
// The complex pairs go up to the bin before the Nyquist frequency.
for (int k = 1; k < n / 2; k++)
{
double real = fftOutput[2 * k - 1];
double imag = fftOutput[2 * k];
double magnitude = Math.Sqrt(real * real + imag * imag);
amplitudes[k] = magnitude;
}
// The Nyquist frequency (at bin N/2) is real and not mirrored.
// It's located at the last index of the packed FFT output.
double nyquistMagnitude = Math.Abs(fftOutput[n - 1]);
amplitudes[n / 2] = nyquistMagnitude;
}
else
{
// There is no Nyquist frequency. The complex pairs go to the end.
for (int k = 1; k <= (n - 1) / 2; k++)
{
double real = fftOutput[2 * k - 1];
double imag = fftOutput[2 * k];
double magnitude = Math.Sqrt(real * real + imag * imag);
amplitudes[k] = magnitude;
}
}
return amplitudes;
}
static double[] RfftFreq(int n, double d = 1.0)
{
if (n <= 0)
{
throw new ArgumentException("Window length n must be a positive integer.", nameof(n));
}
double val = 1.0 / (n * d);
int outputLength = n / 2 + 1;
double[] results = new double[outputLength];
for (int i = 0; i < outputLength; i++)
{
results[i] = i * val;
}
return results;
}

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namespace Demo.PocketFFT;
internal static class Rfft
{
public static int Forward(RfftPlanSafeHandle handle, double[] data, double factor = 1.0)
{
return handle.IsClosed
? throw new ObjectDisposedException(nameof(RfftPlanSafeHandle))
: RfftInterop.RfftForward(handle, data, factor);
}
public static int Backward(RfftPlanSafeHandle handle, double[] data, double factor = 1.0)
{
return handle.IsClosed
? throw new ObjectDisposedException(nameof(RfftPlanSafeHandle))
: RfftInterop.RfftBackward(handle, data, factor);
}
}

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using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
namespace Demo.PocketFFT;
internal static partial class RfftInterop
{
private const string DllName = "pocketfft";
[LibraryImport(DllName, EntryPoint = "make_rfft_plan")]
[UnmanagedCallConv(CallConvs = new[] { typeof(CallConvCdecl) })]
public static partial IntPtr MakeRfftPlan(nuint length);
[LibraryImport(DllName, EntryPoint = "destroy_rfft_plan")]
[UnmanagedCallConv(CallConvs = new[] { typeof(CallConvCdecl) })]
public static partial void DestroyRfftPlan(IntPtr plan); // Keep as IntPtr for ReleaseHandle
[LibraryImport(DllName, EntryPoint = "rfft_backward")]
[UnmanagedCallConv(CallConvs = new[] { typeof(CallConvCdecl) })]
public static partial int RfftBackward(RfftPlanSafeHandle plan, Span<double> c, double fct);
[LibraryImport(DllName, EntryPoint = "rfft_forward")]
[UnmanagedCallConv(CallConvs = new[] { typeof(CallConvCdecl) })]
public static partial int RfftForward(RfftPlanSafeHandle plan, Span<double> c, double fct);
[LibraryImport(DllName, EntryPoint = "rfft_length")]
[UnmanagedCallConv(CallConvs = new[] { typeof(CallConvCdecl) })]
public static partial nuint RfftLength(RfftPlanSafeHandle plan);
}

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using System.Runtime.InteropServices;
namespace Demo.PocketFFT;
internal sealed class RfftPlanSafeHandle : SafeHandle
{
public RfftPlanSafeHandle(int length) : base(RfftInterop.MakeRfftPlan((nuint)length), true)
{
}
public override bool IsInvalid => handle == IntPtr.Zero;
protected override bool ReleaseHandle()
{
// Call the native C function to destroy the plan.
RfftInterop.DestroyRfftPlan(handle);
return true;
}
}

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<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>net8.0</TargetFramework>
<ImplicitUsings>enable</ImplicitUsings>
<Nullable>enable</Nullable>
<AssemblyName>Demo.PocketFFT</AssemblyName>
<RootNamespace>Demo.PocketFFT</RootNamespace>
<LangVersion>10</LangVersion>
<AllowUnsafeBlocks>true</AllowUnsafeBlocks>
</PropertyGroup>
</Project>