Search code examples
c++audiokissfft

Applying Kiss FFT on audio samples and getting NaN output?


The title explains my problem.

What I am trying to do is quite simple:

  • Load MP3 track (via libmpg123)
  • Read samples
  • Apply Kiss FFT on the samples

What I have tried so far

inline float scale(kiss_fft_scalar val)
{
    int g = 0;
    return val < 0 ? val*(1/32768.0f ) : val*(1/32767.0f);
}

void main()
{
    mpg123_handle *m = NULL;
    int  channels = 0, encoding = 0;
    long rate = 0;
    int err = MPG123_OK;

    err = mpg123_init();        
    m = mpg123_new(NULL, &err);
    mpg123_open(m, "L:\\audio-io\\audio-analysis\\samples\\zero.mp3");
    mpg123_getformat(m, &rate, &channels, &encoding);

    err = mpg123_format_none(m);
    err = mpg123_format(m, rate, channels, encoding);

    // Get 2048 samples
    const int TIME = 2048;

    // 16-bit integer encoded in bytes, hence x2 size
    unsigned char* buffer = new unsigned char[TIME*2];
    size_t done = 0;
    err = mpg123_read(m, buffer, TIME*2, &done);

    short* samples = new short[done/2];
    int index = 0;

    // Iterate 2 bytes at a time
    for (int i = 0; i < done; i += 2)
    {
        unsigned char first = buffer[i];
        unsigned char second = buffer[i + 1];
        samples[index++] = (first | (second << 8));
    }

    // Array to store the calculated data
    int speclen = TIME / 2 + 1;
    float* output = new float[speclen];

    kiss_fftr_cfg config;
    kiss_fft_cpx* spectrum;

    config = kiss_fftr_alloc(TIME, 0, NULL, NULL);
    spectrum = (kiss_fft_cpx*) malloc(sizeof(kiss_fft_cpx) * TIME);

    // Right here...
    kiss_fftr(config, (kiss_fft_scalar*) samples, spectrum);

    for (int i = 0; i < speclen; i++)
    {
        float re = scale(spectrum[i].r) * TIME;
        float im = scale(spectrum[i].i) * TIME;

        output[i] = sqrtf(re*re + im*im);
    }

    return;
}

The problem occurs at this line kiss_fftr(config, (kiss_fft_scalar*) samples, spectrum); Where samples contains the audio samples (16 bit), and spectrum is suppose to hold the output data.

After the function completes, here is what's happening in the debugger window.

https://i.sstatic.net/K5Wtd.png

Can someone give me a simple example of how to apply Kiss FFT functions on audio (16 bit encoded) samples?


Solution

  • You need to find the bug(s) in your code. My test code appears to work just fine.

    Complex-valued forward FFT with floats:

    #include <stdio.h>
    #include <stdlib.h>
    #include <math.h>
    #include "kiss_fft.h"
    
    #ifndef M_PI
    #define M_PI 3.14159265358979324
    #endif
    
    #define N 16
    
    void TestFft(const char* title, const kiss_fft_cpx in[N], kiss_fft_cpx out[N])
    {
      kiss_fft_cfg cfg;
    
      printf("%s\n", title);
    
      if ((cfg = kiss_fft_alloc(N, 0/*is_inverse_fft*/, NULL, NULL)) != NULL)
      {
        size_t i;
    
        kiss_fft(cfg, in, out);
        free(cfg);
    
        for (i = 0; i < N; i++)
          printf(" in[%2zu] = %+f , %+f    "
                 "out[%2zu] = %+f , %+f\n",
                 i, in[i].r, in[i].i,
                 i, out[i].r, out[i].i);
      }
      else
      {
        printf("not enough memory?\n");
        exit(-1);
      }
    }
    
    int main(void)
    {
      kiss_fft_cpx in[N], out[N];
      size_t i;
    
      for (i = 0; i < N; i++)
        in[i].r = in[i].i = 0;
      TestFft("Zeroes (complex)", in, out);
    
      for (i = 0; i < N; i++)
        in[i].r = 1, in[i].i = 0;
      TestFft("Ones (complex)", in, out);
    
      for (i = 0; i < N; i++)
        in[i].r = sin(2 * M_PI * 4 * i / N), in[i].i = 0;
      TestFft("SineWave (complex)", in, out);
    
      return 0;
    }
    

    Output:

    Zeroes (complex)
     in[ 0] = +0.000000 , +0.000000    out[ 0] = +0.000000 , +0.000000
     in[ 1] = +0.000000 , +0.000000    out[ 1] = +0.000000 , +0.000000
     in[ 2] = +0.000000 , +0.000000    out[ 2] = +0.000000 , +0.000000
     in[ 3] = +0.000000 , +0.000000    out[ 3] = +0.000000 , +0.000000
     in[ 4] = +0.000000 , +0.000000    out[ 4] = +0.000000 , +0.000000
     in[ 5] = +0.000000 , +0.000000    out[ 5] = +0.000000 , +0.000000
     in[ 6] = +0.000000 , +0.000000    out[ 6] = +0.000000 , +0.000000
     in[ 7] = +0.000000 , +0.000000    out[ 7] = +0.000000 , +0.000000
     in[ 8] = +0.000000 , +0.000000    out[ 8] = +0.000000 , +0.000000
     in[ 9] = +0.000000 , +0.000000    out[ 9] = +0.000000 , +0.000000
     in[10] = +0.000000 , +0.000000    out[10] = +0.000000 , +0.000000
     in[11] = +0.000000 , +0.000000    out[11] = +0.000000 , +0.000000
     in[12] = +0.000000 , +0.000000    out[12] = +0.000000 , +0.000000
     in[13] = +0.000000 , +0.000000    out[13] = +0.000000 , +0.000000
     in[14] = +0.000000 , +0.000000    out[14] = +0.000000 , +0.000000
     in[15] = +0.000000 , +0.000000    out[15] = +0.000000 , +0.000000
    Ones (complex)
     in[ 0] = +1.000000 , +0.000000    out[ 0] = +16.000000 , +0.000000
     in[ 1] = +1.000000 , +0.000000    out[ 1] = +0.000000 , +0.000000
     in[ 2] = +1.000000 , +0.000000    out[ 2] = +0.000000 , +0.000000
     in[ 3] = +1.000000 , +0.000000    out[ 3] = +0.000000 , +0.000000
     in[ 4] = +1.000000 , +0.000000    out[ 4] = +0.000000 , +0.000000
     in[ 5] = +1.000000 , +0.000000    out[ 5] = +0.000000 , +0.000000
     in[ 6] = +1.000000 , +0.000000    out[ 6] = +0.000000 , +0.000000
     in[ 7] = +1.000000 , +0.000000    out[ 7] = +0.000000 , +0.000000
     in[ 8] = +1.000000 , +0.000000    out[ 8] = +0.000000 , +0.000000
     in[ 9] = +1.000000 , +0.000000    out[ 9] = +0.000000 , +0.000000
     in[10] = +1.000000 , +0.000000    out[10] = +0.000000 , +0.000000
     in[11] = +1.000000 , +0.000000    out[11] = +0.000000 , +0.000000
     in[12] = +1.000000 , +0.000000    out[12] = +0.000000 , +0.000000
     in[13] = +1.000000 , +0.000000    out[13] = +0.000000 , +0.000000
     in[14] = +1.000000 , +0.000000    out[14] = +0.000000 , +0.000000
     in[15] = +1.000000 , +0.000000    out[15] = +0.000000 , +0.000000
    SineWave (complex)
     in[ 0] = +0.000000 , +0.000000    out[ 0] = +0.000000 , +0.000000
     in[ 1] = +1.000000 , +0.000000    out[ 1] = +0.000000 , +0.000000
     in[ 2] = +0.000000 , +0.000000    out[ 2] = +0.000000 , +0.000000
     in[ 3] = -1.000000 , +0.000000    out[ 3] = +0.000000 , +0.000000
     in[ 4] = +0.000000 , +0.000000    out[ 4] = +0.000000 , -8.000000
     in[ 5] = +1.000000 , +0.000000    out[ 5] = +0.000000 , +0.000000
     in[ 6] = +0.000000 , +0.000000    out[ 6] = +0.000000 , +0.000000
     in[ 7] = -1.000000 , +0.000000    out[ 7] = +0.000000 , +0.000000
     in[ 8] = +0.000000 , +0.000000    out[ 8] = +0.000000 , +0.000000
     in[ 9] = +1.000000 , +0.000000    out[ 9] = +0.000000 , +0.000000
     in[10] = +0.000000 , +0.000000    out[10] = +0.000000 , +0.000000
     in[11] = -1.000000 , +0.000000    out[11] = +0.000000 , +0.000000
     in[12] = +0.000000 , +0.000000    out[12] = +0.000000 , +8.000000
     in[13] = +1.000000 , +0.000000    out[13] = +0.000000 , +0.000000
     in[14] = +0.000000 , +0.000000    out[14] = +0.000000 , +0.000000
     in[15] = -1.000000 , +0.000000    out[15] = +0.000000 , +0.000000
    

    Real-valued forward FFT with floats:

    #include <stdio.h>
    #include <stdlib.h>
    #include <math.h>
    #include "kiss_fftr.h"
    
    #ifndef M_PI
    #define M_PI 3.14159265358979324
    #endif
    
    #define N 16
    
    void TestFftReal(const char* title, const kiss_fft_scalar in[N], kiss_fft_cpx out[N / 2 + 1])
    {
      kiss_fftr_cfg cfg;
    
      printf("%s\n", title);
    
      if ((cfg = kiss_fftr_alloc(N, 0/*is_inverse_fft*/, NULL, NULL)) != NULL)
      {
        size_t i;
    
        kiss_fftr(cfg, in, out);
        free(cfg);
    
        for (i = 0; i < N; i++)
        {
          printf(" in[%2zu] = %+f    ",
                 i, in[i]);
          if (i < N / 2 + 1)
            printf("out[%2zu] = %+f , %+f",
                   i, out[i].r, out[i].i);
          printf("\n");
        }
      }
      else
      {
        printf("not enough memory?\n");
        exit(-1);
      }
    }
    
    int main(void)
    {
      kiss_fft_scalar in[N];
      kiss_fft_cpx out[N / 2 + 1];
      size_t i;
    
      for (i = 0; i < N; i++)
        in[i] = 0;
      TestFftReal("Zeroes (real)", in, out);
    
      for (i = 0; i < N; i++)
        in[i] = 1;
      TestFftReal("Ones (real)", in, out);
    
      for (i = 0; i < N; i++)
        in[i] = sin(2 * M_PI * 4 * i / N);
      TestFftReal("SineWave (real)", in, out);
    
      return 0;
    }
    

    Output:

    Zeroes (real)
     in[ 0] = +0.000000    out[ 0] = +0.000000 , +0.000000
     in[ 1] = +0.000000    out[ 1] = +0.000000 , +0.000000
     in[ 2] = +0.000000    out[ 2] = +0.000000 , +0.000000
     in[ 3] = +0.000000    out[ 3] = +0.000000 , +0.000000
     in[ 4] = +0.000000    out[ 4] = +0.000000 , +0.000000
     in[ 5] = +0.000000    out[ 5] = +0.000000 , +0.000000
     in[ 6] = +0.000000    out[ 6] = +0.000000 , +0.000000
     in[ 7] = +0.000000    out[ 7] = +0.000000 , +0.000000
     in[ 8] = +0.000000    out[ 8] = +0.000000 , +0.000000
     in[ 9] = +0.000000    
     in[10] = +0.000000    
     in[11] = +0.000000    
     in[12] = +0.000000    
     in[13] = +0.000000    
     in[14] = +0.000000    
     in[15] = +0.000000    
    Ones (real)
     in[ 0] = +1.000000    out[ 0] = +16.000000 , +0.000000
     in[ 1] = +1.000000    out[ 1] = +0.000000 , +0.000000
     in[ 2] = +1.000000    out[ 2] = +0.000000 , +0.000000
     in[ 3] = +1.000000    out[ 3] = +0.000000 , +0.000000
     in[ 4] = +1.000000    out[ 4] = +0.000000 , +0.000000
     in[ 5] = +1.000000    out[ 5] = +0.000000 , +0.000000
     in[ 6] = +1.000000    out[ 6] = +0.000000 , +0.000000
     in[ 7] = +1.000000    out[ 7] = +0.000000 , +0.000000
     in[ 8] = +1.000000    out[ 8] = +0.000000 , +0.000000
     in[ 9] = +1.000000    
     in[10] = +1.000000    
     in[11] = +1.000000    
     in[12] = +1.000000    
     in[13] = +1.000000    
     in[14] = +1.000000    
     in[15] = +1.000000    
    SineWave (real)
     in[ 0] = +0.000000    out[ 0] = +0.000000 , +0.000000
     in[ 1] = +1.000000    out[ 1] = +0.000000 , +0.000000
     in[ 2] = +0.000000    out[ 2] = +0.000000 , +0.000000
     in[ 3] = -1.000000    out[ 3] = +0.000000 , +0.000000
     in[ 4] = +0.000000    out[ 4] = +0.000000 , -8.000000
     in[ 5] = +1.000000    out[ 5] = +0.000000 , +0.000000
     in[ 6] = +0.000000    out[ 6] = +0.000000 , +0.000000
     in[ 7] = -1.000000    out[ 7] = +0.000000 , +0.000000
     in[ 8] = +0.000000    out[ 8] = +0.000000 , +0.000000
     in[ 9] = +1.000000    
     in[10] = +0.000000    
     in[11] = -1.000000    
     in[12] = +0.000000    
     in[13] = +1.000000    
     in[14] = +0.000000    
     in[15] = -1.000000