source: src/fft.c @ 01af943

/*
   Copyright (C) 2003 Paul Brossier

   This program is free software; you can redistribute it and/or modify
   it under the terms of the GNU General Public License as published by
   the Free Software Foundation; either version 2 of the License, or
   (at your option) any later version.

   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.

   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.

*/

#include "aubio_priv.h"
#include "sample.h"
#include "mathutils.h"
#include "fft.h"

#if FFTW3F_SUPPORT
#define fftw_malloc             fftwf_malloc
#define fftw_free               fftwf_free
#define fftw_execute            fftwf_execute
#define fftw_plan_dft_r2c_1d    fftwf_plan_dft_r2c_1d
#define fftw_plan_dft_c2r_1d    fftwf_plan_dft_c2r_1d
#define fftw_plan_r2r_1d      fftwf_plan_r2r_1d
#define fftw_plan               fftwf_plan
#define fftw_destroy_plan       fftwf_destroy_plan
#endif

#if FFTW3F_SUPPORT
#define real_t smpl_t
#else
#define real_t lsmp_t
#endif

struct _aubio_fft_t {
        uint_t fft_size;
        uint_t channels;
        real_t          *in, *out;
        fft_data_t      *specdata;
        fftw_plan       pfw, pbw;
};

static void aubio_fft_getspectrum(fft_data_t * spectrum, smpl_t *norm, smpl_t * phas, uint_t size);

aubio_fft_t * new_aubio_fft(uint_t size) {
        aubio_fft_t * s = AUBIO_NEW(aubio_fft_t);
        /* allocate memory */
        s->in       = AUBIO_ARRAY(real_t,size);
        s->out      = AUBIO_ARRAY(real_t,size);
        /* create plans */
#ifdef HAVE_COMPLEX_H
  s->fft_size = size/2+1;
        s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size);
        s->pfw = fftw_plan_dft_r2c_1d(size, s->in,  s->specdata, FFTW_ESTIMATE);
        s->pbw = fftw_plan_dft_c2r_1d(size, s->specdata, s->out, FFTW_ESTIMATE);
#else
  s->fft_size = size;
        s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size);
        s->pfw = fftw_plan_r2r_1d(size, s->in,  s->specdata, FFTW_R2HC, FFTW_ESTIMATE);
        s->pbw = fftw_plan_r2r_1d(size, s->specdata, s->out, FFTW_HC2R, FFTW_ESTIMATE);
#endif
        return s;
}

void del_aubio_fft(aubio_fft_t * s) {
        /* destroy data */
        fftw_destroy_plan(s->pfw);
        fftw_destroy_plan(s->pbw);
        fftw_free(s->specdata);
        AUBIO_FREE(s->out);
        AUBIO_FREE(s->in );
        AUBIO_FREE(s);
}

void aubio_fft_do(const aubio_fft_t * s, 
                const smpl_t * data, fft_data_t * spectrum, 
                const uint_t size) {
        uint_t i;
        for (i=0;i<size;i++) s->in[i] = data[i];
        fftw_execute(s->pfw);
        for (i=0; i < s->fft_size; i++) spectrum[i] = s->specdata[i];
}

void aubio_fft_rdo(const aubio_fft_t * s, 
                const fft_data_t * spectrum, 
                smpl_t * data, 
                const uint_t size) {
        uint_t i;
        const smpl_t renorm = 1./(smpl_t)size;
        for (i=0; i < s->fft_size; i++) s->specdata[i] = spectrum[i];
        fftw_execute(s->pbw);
        for (i=0;i<size;i++) data[i] = s->out[i]*renorm;
}

#ifdef HAVE_COMPLEX_H

void aubio_fft_getnorm(smpl_t * norm, fft_data_t * spectrum, uint_t size) {
        uint_t i;
        for (i=0;i<size/2+1;i++) norm[i] = ABSC(spectrum[i]);
        //for (i=0;i<size/2+1;i++) AUBIO_DBG("%f\n", norm[i]);
}

void aubio_fft_getphas(smpl_t * phas, fft_data_t * spectrum, uint_t size) {
        uint_t i;
        for (i=0;i<size/2+1;i++) phas[i] = ARGC(spectrum[i]);
        //for (i=0;i<size/2+1;i++) AUBIO_DBG("%f\n", phas[i]);
}

void aubio_fft_getspectrum(fft_data_t * spectrum, smpl_t *norm, smpl_t * phas, uint_t size) {
  uint_t j;
  for (j=0; j<size/2+1; j++) {
    spectrum[j]  = CEXPC(I*phas[j]);
    spectrum[j] *= norm[j];
  }
}

#else

void aubio_fft_getnorm(smpl_t * norm, fft_data_t * spectrum, uint_t size) {
        uint_t i;
  norm[0] = SQR(spectrum[0]);
        for (i=1;i<size/2;i++) norm[i] = (SQR(spectrum[i]) + SQR(spectrum[size-i]));
        norm[size/2] = SQR(spectrum[size/2]);
        //for (i=0;i<size/2+1;i++) AUBIO_DBG("%f\n", norm[i]);
}

void aubio_fft_getphas(smpl_t * phas, fft_data_t * spectrum, uint_t size) {
        uint_t i;
  phas[0] = 0;
        for (i=1;i<size/2+1;i++) phas[i] = atan2f(spectrum[size-i] , spectrum[i]);
  phas[size/2] = 0;
        //for (i=0;i<size/2+1;i++) AUBIO_DBG("%f\n", phas[i]);
}

void aubio_fft_getspectrum(fft_data_t * spectrum, smpl_t *norm, smpl_t * phas, uint_t size) {
  uint_t j;
  for (j=0; j<size/2+1; j++) {
    spectrum[j]       = norm[j]*COS(phas[j]);
  }
  for (j=1; j<size/2+1; j++) {
    spectrum[size-j]  = norm[j]*SIN(phas[j]);
  }
}

#endif

/* new interface aubio_mfft */
struct _aubio_mfft_t {
        aubio_fft_t * fft;      /* fftw interface */
        fft_data_t ** spec;     /* complex spectral data */
        uint_t winsize;
        uint_t channels;
};

aubio_mfft_t * new_aubio_mfft(uint_t winsize, uint_t channels){
        uint_t i;
        aubio_mfft_t * fft = AUBIO_NEW(aubio_mfft_t);
        fft->winsize       = winsize;
        fft->channels      = channels;
        fft->fft           = new_aubio_fft(winsize);
        fft->spec          = AUBIO_ARRAY(fft_data_t*,channels);
        for (i=0; i < channels; i++)
                fft->spec[i] = AUBIO_ARRAY(fft_data_t,winsize);
        return fft;
}

/* execute stft */
void aubio_mfft_do (aubio_mfft_t * fft,fvec_t * in,cvec_t * fftgrain){
        uint_t i=0;
        /* execute stft */
        for (i=0; i < fft->channels; i++) {
                aubio_fft_do (fft->fft,in->data[i],fft->spec[i],fft->winsize);
                /* put norm and phase into fftgrain */
                aubio_fft_getnorm(fftgrain->norm[i], fft->spec[i], fft->winsize);
                aubio_fft_getphas(fftgrain->phas[i], fft->spec[i], fft->winsize);
        }
}

/* execute inverse fourier transform */
void aubio_mfft_rdo(aubio_mfft_t * fft,cvec_t * fftgrain, fvec_t * out){
        uint_t i=0;
        for (i=0; i < fft->channels; i++) {
                aubio_fft_getspectrum(fft->spec[i],fftgrain->norm[i],fftgrain->phas[i],fft->winsize);
                aubio_fft_rdo(fft->fft,fft->spec[i],out->data[i],fft->winsize);
        }
}

void del_aubio_mfft(aubio_mfft_t * fft) {
        uint_t i;
        for (i=0; i < fft->channels; i++)
                AUBIO_FREE(fft->spec[i]);
        AUBIO_FREE(fft->spec);
        del_aubio_fft(fft->fft);
        AUBIO_FREE(fft);        
}