ref: 7778f394a03c8b1d72a7a3accfc3b8e5d5039f7b
dir: /src/spectral/fft.c/
/*
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 "fvec.h"
#include "cvec.h"
#include "mathutils.h"
#include "spectral/fft.h"
/* note that <complex.h> is not included here but only in aubio_priv.h, so that
* c++ projects can still use their own complex definition. */
#include <fftw3.h>
#ifdef HAVE_COMPLEX_H
#if HAVE_FFTW3F
/** fft data type with complex.h and fftw3f */
#define FFTW_TYPE fftwf_complex
#else
/** fft data type with complex.h and fftw3 */
#define FFTW_TYPE fftw_complex
#endif
#else
#if HAVE_FFTW3F
/** fft data type without complex.h and with fftw3f */
#define FFTW_TYPE float
#else
/** fft data type without complex.h and with fftw */
#define FFTW_TYPE double
#endif
#endif
/** fft data type */
typedef FFTW_TYPE fft_data_t;
#if HAVE_FFTW3F
#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 HAVE_FFTW3F
#if HAVE_AUBIO_DOUBLE
#warning "Using aubio in double precision with fftw3 in single precision"
#endif /* HAVE_AUBIO_DOUBLE */
#define real_t float
#else /* HAVE_FFTW3F */
#if !HAVE_AUBIO_DOUBLE
#warning "Using aubio in single precision with fftw3 in double precision"
#endif /* HAVE_AUBIO_DOUBLE */
#define real_t double
#endif /* HAVE_FFTW3F */
struct _aubio_fft_t {
uint_t winsize;
uint_t channels;
uint_t fft_size;
real_t *in, *out;
fftw_plan pfw, pbw;
fft_data_t * specdata; /* complex spectral data */
fvec_t * compspec;
};
aubio_fft_t * new_aubio_fft(uint_t winsize, uint_t channels) {
aubio_fft_t * s = AUBIO_NEW(aubio_fft_t);
uint_t i;
s->winsize = winsize;
s->channels = channels;
/* allocate memory */
s->in = AUBIO_ARRAY(real_t,winsize);
s->out = AUBIO_ARRAY(real_t,winsize);
s->compspec = new_fvec(winsize,channels);
/* create plans */
#ifdef HAVE_COMPLEX_H
s->fft_size = winsize/2 + 1;
s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size);
s->pfw = fftw_plan_dft_r2c_1d(winsize, s->in, s->specdata, FFTW_ESTIMATE);
s->pbw = fftw_plan_dft_c2r_1d(winsize, s->specdata, s->out, FFTW_ESTIMATE);
#else
s->fft_size = winsize;
s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size);
s->pfw = fftw_plan_r2r_1d(winsize, s->in, s->specdata, FFTW_R2HC, FFTW_ESTIMATE);
s->pbw = fftw_plan_r2r_1d(winsize, s->specdata, s->out, FFTW_HC2R, FFTW_ESTIMATE);
#endif
for (i = 0; i < s->winsize; i++) {
s->in[i] = 0.;
s->out[i] = 0.;
}
for (i = 0; i < s->fft_size; i++) {
s->specdata[i] = 0.;
}
return s;
}
void del_aubio_fft(aubio_fft_t * s) {
/* destroy data */
del_fvec(s->compspec);
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(aubio_fft_t * s, fvec_t * input, cvec_t * spectrum) {
aubio_fft_do_complex(s, input, s->compspec);
aubio_fft_get_spectrum(s->compspec, spectrum);
}
void aubio_fft_rdo(aubio_fft_t * s, cvec_t * spectrum, fvec_t * output) {
aubio_fft_get_realimag(spectrum, s->compspec);
aubio_fft_rdo_complex(s, s->compspec, output);
}
void aubio_fft_do_complex(aubio_fft_t * s, fvec_t * input, fvec_t * compspec) {
uint_t i, j;
for (i = 0; i < s->channels; i++) {
for (j=0; j < s->winsize; j++) {
s->in[j] = input->data[i][j];
}
fftw_execute(s->pfw);
#ifdef HAVE_COMPLEX_H
compspec->data[i][0] = REAL(s->specdata[0]);
for (j = 1; j < s->fft_size -1 ; j++) {
compspec->data[i][j] = REAL(s->specdata[j]);
compspec->data[i][compspec->length - j] = IMAG(s->specdata[j]);
}
compspec->data[i][s->fft_size-1] = REAL(s->specdata[s->fft_size-1]);
#else
for (j = 0; j < s->fft_size; j++) {
compspec->data[i][j] = s->specdata[j];
}
#endif
}
}
void aubio_fft_rdo_complex(aubio_fft_t * s, fvec_t * compspec, fvec_t * output) {
uint_t i, j;
const smpl_t renorm = 1./(smpl_t)s->winsize;
for (i = 0; i < compspec->channels; i++) {
#ifdef HAVE_COMPLEX_H
s->specdata[0] = compspec->data[i][0];
for (j=1; j < s->fft_size - 1; j++) {
s->specdata[j] = compspec->data[i][j] +
I * compspec->data[i][compspec->length - j];
}
s->specdata[s->fft_size - 1] = compspec->data[i][s->fft_size - 1];
#else
for (j=0; j < s->fft_size; j++) {
s->specdata[j] = compspec->data[i][j];
}
#endif
fftw_execute(s->pbw);
for (j = 0; j < output->length; j++) {
output->data[i][j] = s->out[j]*renorm;
}
}
}
void aubio_fft_get_spectrum(fvec_t * compspec, cvec_t * spectrum) {
aubio_fft_get_phas(compspec, spectrum);
aubio_fft_get_norm(compspec, spectrum);
}
void aubio_fft_get_realimag(cvec_t * spectrum, fvec_t * compspec) {
aubio_fft_get_imag(spectrum, compspec);
aubio_fft_get_real(spectrum, compspec);
}
void aubio_fft_get_phas(fvec_t * compspec, cvec_t * spectrum) {
uint_t i, j;
for (i = 0; i < spectrum->channels; i++) {
if (compspec->data[i][0] < 0) {
spectrum->phas[i][0] = PI;
} else {
spectrum->phas[i][0] = 0.;
}
for (j=1; j < spectrum->length - 1; j++) {
spectrum->phas[i][j] = ATAN2(compspec->data[i][compspec->length-j],
compspec->data[i][j]);
}
if (compspec->data[i][compspec->length/2] < 0) {
spectrum->phas[i][spectrum->length - 1] = PI;
} else {
spectrum->phas[i][spectrum->length - 1] = 0.;
}
}
}
void aubio_fft_get_norm(fvec_t * compspec, cvec_t * spectrum) {
uint_t i, j = 0;
for (i = 0; i < spectrum->channels; i++) {
spectrum->norm[i][0] = ABS(compspec->data[i][0]);
for (j=1; j < spectrum->length - 1; j++) {
spectrum->norm[i][j] = SQRT(SQR(compspec->data[i][j])
+ SQR(compspec->data[i][compspec->length - j]) );
}
spectrum->norm[i][spectrum->length-1] =
ABS(compspec->data[i][compspec->length/2]);
}
}
void aubio_fft_get_imag(cvec_t * spectrum, fvec_t * compspec) {
uint_t i, j;
for (i = 0; i < compspec->channels; i++) {
for (j = 1; j < ( compspec->length + 1 ) / 2 /*- 1 + 1*/; j++) {
compspec->data[i][compspec->length - j] =
spectrum->norm[i][j]*SIN(spectrum->phas[i][j]);
}
}
}
void aubio_fft_get_real(cvec_t * spectrum, fvec_t * compspec) {
uint_t i, j;
for (i = 0; i < compspec->channels; i++) {
for (j = 0; j < compspec->length / 2 + 1; j++) {
compspec->data[i][j] =
spectrum->norm[i][j]*COS(spectrum->phas[i][j]);
}
}
}