source: src/spectral/fft.c @ 130b651

feature/autosinkfeature/cnnfeature/cnn_orgfeature/constantqfeature/crepefeature/crepe_orgfeature/pitchshiftfeature/pydocstringsfeature/timestretchfix/ffmpeg5pitchshiftsamplertimestretchyinfft+
Last change on this file since 130b651 was 3c6f584, checked in by Paul Brossier <piem@piem.org>, 9 years ago

src/spectral/fft.c: if Ooura is used, make sure the fft size is a power of two

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1/*
2  Copyright (C) 2003-2009 Paul Brossier <piem@aubio.org>
3
4  This file is part of aubio.
5
6  aubio is free software: you can redistribute it and/or modify
7  it under the terms of the GNU General Public License as published by
8  the Free Software Foundation, either version 3 of the License, or
9  (at your option) any later version.
10
11  aubio is distributed in the hope that it will be useful,
12  but WITHOUT ANY WARRANTY; without even the implied warranty of
13  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14  GNU General Public License for more details.
15
16  You should have received a copy of the GNU General Public License
17  along with aubio.  If not, see <http://www.gnu.org/licenses/>.
18
19*/
20
21#include "aubio_priv.h"
22#include "fvec.h"
23#include "cvec.h"
24#include "mathutils.h"
25#include "spectral/fft.h"
26
27#ifdef HAVE_FFTW3             // using FFTW3
28/* note that <complex.h> is not included here but only in aubio_priv.h, so that
29 * c++ projects can still use their own complex definition. */
30#include <fftw3.h>
31#include <pthread.h>
32
33#ifdef HAVE_COMPLEX_H
34#ifdef HAVE_FFTW3F
35/** fft data type with complex.h and fftw3f */
36#define FFTW_TYPE fftwf_complex
37#else
38/** fft data type with complex.h and fftw3 */
39#define FFTW_TYPE fftw_complex
40#endif
41#else
42#ifdef HAVE_FFTW3F
43/** fft data type without complex.h and with fftw3f */
44#define FFTW_TYPE float
45#else
46/** fft data type without complex.h and with fftw */
47#define FFTW_TYPE double
48#endif
49#endif
50
51/** fft data type */
52typedef FFTW_TYPE fft_data_t;
53
54#ifdef HAVE_FFTW3F
55#define fftw_malloc            fftwf_malloc
56#define fftw_free              fftwf_free
57#define fftw_execute           fftwf_execute
58#define fftw_plan_dft_r2c_1d   fftwf_plan_dft_r2c_1d
59#define fftw_plan_dft_c2r_1d   fftwf_plan_dft_c2r_1d
60#define fftw_plan_r2r_1d       fftwf_plan_r2r_1d
61#define fftw_plan              fftwf_plan
62#define fftw_destroy_plan      fftwf_destroy_plan
63#endif
64
65#ifdef HAVE_FFTW3F
66#if HAVE_AUBIO_DOUBLE
67#warning "Using aubio in double precision with fftw3 in single precision"
68#endif /* HAVE_AUBIO_DOUBLE */
69#define real_t float
70#else /* HAVE_FFTW3F */
71#if !HAVE_AUBIO_DOUBLE
72#warning "Using aubio in single precision with fftw3 in double precision"
73#endif /* HAVE_AUBIO_DOUBLE */
74#define real_t double
75#endif /* HAVE_FFTW3F */
76
77// a global mutex for FFTW thread safety
78pthread_mutex_t aubio_fftw_mutex = PTHREAD_MUTEX_INITIALIZER;
79
80#else
81#ifdef HAVE_ACCELERATE        // using ACCELERATE
82// https://developer.apple.com/library/mac/#documentation/Accelerate/Reference/vDSPRef/Reference/reference.html
83#include <Accelerate/Accelerate.h>
84
85#else                         // using OOURA
86// let's use ooura instead
87extern void rdft(int, int, smpl_t *, int *, smpl_t *);
88
89#endif /* HAVE_ACCELERATE */
90#endif /* HAVE_FFTW3 */
91
92struct _aubio_fft_t {
93  uint_t winsize;
94  uint_t fft_size;
95#ifdef HAVE_FFTW3             // using FFTW3
96  real_t *in, *out;
97  fftw_plan pfw, pbw;
98  fft_data_t * specdata;     /* complex spectral data */
99#else
100#ifdef HAVE_ACCELERATE        // using ACCELERATE
101  int log2fftsize;
102#if !HAVE_AUBIO_DOUBLE
103  FFTSetup fftSetup;
104  DSPSplitComplex spec;
105  float *in, *out;
106#else
107  FFTSetupD fftSetup;
108  DSPDoubleSplitComplex spec;
109  double *in, *out;
110#endif
111#else                         // using OOURA
112  smpl_t *in, *out;
113  smpl_t *w;
114  int *ip;
115#endif /* HAVE_ACCELERATE */
116#endif /* HAVE_FFTW3 */
117  fvec_t * compspec;
118};
119
120aubio_fft_t * new_aubio_fft (uint_t winsize) {
121  aubio_fft_t * s = AUBIO_NEW(aubio_fft_t);
122#ifdef HAVE_FFTW3
123  uint_t i;
124  s->winsize  = winsize;
125  /* allocate memory */
126  s->in       = AUBIO_ARRAY(real_t,winsize);
127  s->out      = AUBIO_ARRAY(real_t,winsize);
128  s->compspec = new_fvec(winsize);
129  /* create plans */
130  pthread_mutex_lock(&aubio_fftw_mutex);
131#ifdef HAVE_COMPLEX_H
132  s->fft_size = winsize/2 + 1;
133  s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size);
134  s->pfw = fftw_plan_dft_r2c_1d(winsize, s->in,  s->specdata, FFTW_ESTIMATE);
135  s->pbw = fftw_plan_dft_c2r_1d(winsize, s->specdata, s->out, FFTW_ESTIMATE);
136#else
137  s->fft_size = winsize;
138  s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size);
139  s->pfw = fftw_plan_r2r_1d(winsize, s->in,  s->specdata, FFTW_R2HC, FFTW_ESTIMATE);
140  s->pbw = fftw_plan_r2r_1d(winsize, s->specdata, s->out, FFTW_HC2R, FFTW_ESTIMATE);
141#endif
142  pthread_mutex_unlock(&aubio_fftw_mutex);
143  for (i = 0; i < s->winsize; i++) {
144    s->in[i] = 0.;
145    s->out[i] = 0.;
146  }
147  for (i = 0; i < s->fft_size; i++) {
148    s->specdata[i] = 0.;
149  }
150#else
151#ifdef HAVE_ACCELERATE        // using ACCELERATE
152  s->winsize = winsize;
153  s->fft_size = winsize;
154  s->compspec = new_fvec(winsize);
155  s->log2fftsize = (uint_t)log2f(s->fft_size);
156#if !HAVE_AUBIO_DOUBLE
157  s->in = AUBIO_ARRAY(float, s->fft_size);
158  s->out = AUBIO_ARRAY(float, s->fft_size);
159  s->spec.realp = AUBIO_ARRAY(float, s->fft_size/2);
160  s->spec.imagp = AUBIO_ARRAY(float, s->fft_size/2);
161  s->fftSetup = vDSP_create_fftsetup(s->log2fftsize, FFT_RADIX2);
162#else
163  s->in = AUBIO_ARRAY(double, s->fft_size);
164  s->out = AUBIO_ARRAY(double, s->fft_size);
165  s->spec.realp = AUBIO_ARRAY(double, s->fft_size/2);
166  s->spec.imagp = AUBIO_ARRAY(double, s->fft_size/2);
167  s->fftSetup = vDSP_create_fftsetupD(s->log2fftsize, FFT_RADIX2);
168#endif
169#else                         // using OOURA
170  if (aubio_is_power_of_two(winsize) != 1) {
171    AUBIO_ERR("fft: can only create with sizes power of two,"
172              " requested %d\n", winsize);
173    return NULL;
174  }
175  s->winsize = winsize;
176  s->fft_size = winsize / 2 + 1;
177  s->compspec = new_fvec(winsize);
178  s->in    = AUBIO_ARRAY(smpl_t, s->winsize);
179  s->out   = AUBIO_ARRAY(smpl_t, s->winsize);
180  s->ip    = AUBIO_ARRAY(int   , s->fft_size);
181  s->w     = AUBIO_ARRAY(smpl_t, s->fft_size);
182  s->ip[0] = 0;
183#endif /* HAVE_ACCELERATE */
184#endif /* HAVE_FFTW3 */
185  return s;
186}
187
188void del_aubio_fft(aubio_fft_t * s) {
189  /* destroy data */
190  del_fvec(s->compspec);
191#ifdef HAVE_FFTW3             // using FFTW3
192  fftw_destroy_plan(s->pfw);
193  fftw_destroy_plan(s->pbw);
194  fftw_free(s->specdata);
195#else /* HAVE_FFTW3 */
196#ifdef HAVE_ACCELERATE        // using ACCELERATE
197  AUBIO_FREE(s->spec.realp);
198  AUBIO_FREE(s->spec.imagp);
199#if !HAVE_AUBIO_DOUBLE
200  vDSP_destroy_fftsetup(s->fftSetup);
201#else
202  vDSP_destroy_fftsetupD(s->fftSetup);
203#endif
204#else                         // using OOURA
205  AUBIO_FREE(s->w);
206  AUBIO_FREE(s->ip);
207#endif /* HAVE_ACCELERATE */
208#endif /* HAVE_FFTW3 */
209  AUBIO_FREE(s->out);
210  AUBIO_FREE(s->in);
211  AUBIO_FREE(s);
212}
213
214void aubio_fft_do(aubio_fft_t * s, fvec_t * input, cvec_t * spectrum) {
215  aubio_fft_do_complex(s, input, s->compspec);
216  aubio_fft_get_spectrum(s->compspec, spectrum);
217}
218
219void aubio_fft_rdo(aubio_fft_t * s, cvec_t * spectrum, fvec_t * output) {
220  aubio_fft_get_realimag(spectrum, s->compspec);
221  aubio_fft_rdo_complex(s, s->compspec, output);
222}
223
224void aubio_fft_do_complex(aubio_fft_t * s, fvec_t * input, fvec_t * compspec) {
225  uint_t i;
226  for (i=0; i < s->winsize; i++) {
227    s->in[i] = input->data[i];
228  }
229#ifdef HAVE_FFTW3             // using FFTW3
230  fftw_execute(s->pfw);
231#ifdef HAVE_COMPLEX_H
232  compspec->data[0] = REAL(s->specdata[0]);
233  for (i = 1; i < s->fft_size -1 ; i++) {
234    compspec->data[i] = REAL(s->specdata[i]);
235    compspec->data[compspec->length - i] = IMAG(s->specdata[i]);
236  }
237  compspec->data[s->fft_size-1] = REAL(s->specdata[s->fft_size-1]);
238#else /* HAVE_COMPLEX_H  */
239  for (i = 0; i < s->fft_size; i++) {
240    compspec->data[i] = s->specdata[i];
241  }
242#endif /* HAVE_COMPLEX_H */
243#else /* HAVE_FFTW3 */
244#ifdef HAVE_ACCELERATE        // using ACCELERATE
245#if !HAVE_AUBIO_DOUBLE
246  // convert real data to even/odd format used in vDSP
247  vDSP_ctoz((DSPComplex*)s->in, 2, &s->spec, 1, s->fft_size/2);
248  // compute the FFT
249  vDSP_fft_zrip(s->fftSetup, &s->spec, 1, s->log2fftsize, FFT_FORWARD);
250#else
251  // convert real data to even/odd format used in vDSP
252  vDSP_ctozD((DSPDoubleComplex*)s->in, 2, &s->spec, 1, s->fft_size/2);
253  // compute the FFT
254  vDSP_fft_zripD(s->fftSetup, &s->spec, 1, s->log2fftsize, FFT_FORWARD);
255#endif
256  // convert from vDSP complex split to [ r0, r1, ..., rN, iN-1, .., i2, i1]
257  compspec->data[0] = s->spec.realp[0];
258  compspec->data[s->fft_size / 2] = s->spec.imagp[0];
259  for (i = 1; i < s->fft_size / 2; i++) {
260    compspec->data[i] = s->spec.realp[i];
261    compspec->data[s->fft_size - i] = s->spec.imagp[i];
262  }
263  // apply scaling
264  smpl_t scale = 1./2.;
265#if !HAVE_AUBIO_DOUBLE
266  vDSP_vsmul(compspec->data, 1, &scale, compspec->data, 1, s->fft_size);
267#else
268  vDSP_vsmulD(compspec->data, 1, &scale, compspec->data, 1, s->fft_size);
269#endif
270#else                         // using OOURA
271  rdft(s->winsize, 1, s->in, s->ip, s->w);
272  compspec->data[0] = s->in[0];
273  compspec->data[s->winsize / 2] = s->in[1];
274  for (i = 1; i < s->fft_size - 1; i++) {
275    compspec->data[i] = s->in[2 * i];
276    compspec->data[s->winsize - i] = - s->in[2 * i + 1];
277  }
278#endif /* HAVE_ACCELERATE */
279#endif /* HAVE_FFTW3 */
280}
281
282void aubio_fft_rdo_complex(aubio_fft_t * s, fvec_t * compspec, fvec_t * output) {
283  uint_t i;
284#ifdef HAVE_FFTW3
285  const smpl_t renorm = 1./(smpl_t)s->winsize;
286#ifdef HAVE_COMPLEX_H
287  s->specdata[0] = compspec->data[0];
288  for (i=1; i < s->fft_size - 1; i++) {
289    s->specdata[i] = compspec->data[i] +
290      I * compspec->data[compspec->length - i];
291  }
292  s->specdata[s->fft_size - 1] = compspec->data[s->fft_size - 1];
293#else
294  for (i=0; i < s->fft_size; i++) {
295    s->specdata[i] = compspec->data[i];
296  }
297#endif
298  fftw_execute(s->pbw);
299  for (i = 0; i < output->length; i++) {
300    output->data[i] = s->out[i]*renorm;
301  }
302#else /* HAVE_FFTW3 */
303#ifdef HAVE_ACCELERATE        // using ACCELERATE
304  // convert from real imag  [ r0, r1, ..., rN, iN-1, .., i2, i1]
305  // to vDSP packed format   [ r0, rN, r1, i1, ..., rN-1, iN-1 ]
306  s->out[0] = compspec->data[0];
307  s->out[1] = compspec->data[s->winsize / 2];
308  for (i = 1; i < s->fft_size / 2; i++) {
309    s->out[2 * i] = compspec->data[i];
310    s->out[2 * i + 1] = compspec->data[s->winsize - i];
311  }
312#if !HAVE_AUBIO_DOUBLE
313  // convert to split complex format used in vDSP
314  vDSP_ctoz((DSPComplex*)s->out, 2, &s->spec, 1, s->fft_size/2);
315  // compute the FFT
316  vDSP_fft_zrip(s->fftSetup, &s->spec, 1, s->log2fftsize, FFT_INVERSE);
317  // convert result to real output
318  vDSP_ztoc(&s->spec, 1, (DSPComplex*)output->data, 2, s->fft_size/2);
319  // apply scaling
320  smpl_t scale = 1.0 / s->winsize;
321  vDSP_vsmul(output->data, 1, &scale, output->data, 1, s->fft_size);
322#else
323  // convert to split complex format used in vDSP
324  vDSP_ctozD((DSPDoubleComplex*)s->out, 2, &s->spec, 1, s->fft_size/2);
325  // compute the FFT
326  vDSP_fft_zripD(s->fftSetup, &s->spec, 1, s->log2fftsize, FFT_INVERSE);
327  // convert result to real output
328  vDSP_ztocD(&s->spec, 1, (DSPDoubleComplex*)output->data, 2, s->fft_size/2);
329  // apply scaling
330  smpl_t scale = 1.0 / s->winsize;
331  vDSP_vsmulD(output->data, 1, &scale, output->data, 1, s->fft_size);
332#endif
333#else                         // using OOURA
334  smpl_t scale = 2.0 / s->winsize;
335  s->out[0] = compspec->data[0];
336  s->out[1] = compspec->data[s->winsize / 2];
337  for (i = 1; i < s->fft_size - 1; i++) {
338    s->out[2 * i] = compspec->data[i];
339    s->out[2 * i + 1] = - compspec->data[s->winsize - i];
340  }
341  rdft(s->winsize, -1, s->out, s->ip, s->w);
342  for (i=0; i < s->winsize; i++) {
343    output->data[i] = s->out[i] * scale;
344  }
345#endif /* HAVE_ACCELERATE */
346#endif /* HAVE_FFTW3 */
347}
348
349void aubio_fft_get_spectrum(fvec_t * compspec, cvec_t * spectrum) {
350  aubio_fft_get_phas(compspec, spectrum);
351  aubio_fft_get_norm(compspec, spectrum);
352}
353
354void aubio_fft_get_realimag(cvec_t * spectrum, fvec_t * compspec) {
355  aubio_fft_get_imag(spectrum, compspec);
356  aubio_fft_get_real(spectrum, compspec);
357}
358
359void aubio_fft_get_phas(fvec_t * compspec, cvec_t * spectrum) {
360  uint_t i;
361  if (compspec->data[0] < 0) {
362    spectrum->phas[0] = PI;
363  } else {
364    spectrum->phas[0] = 0.;
365  }
366  for (i=1; i < spectrum->length - 1; i++) {
367    spectrum->phas[i] = ATAN2(compspec->data[compspec->length-i],
368        compspec->data[i]);
369  }
370  if (compspec->data[compspec->length/2] < 0) {
371    spectrum->phas[spectrum->length - 1] = PI;
372  } else {
373    spectrum->phas[spectrum->length - 1] = 0.;
374  }
375}
376
377void aubio_fft_get_norm(fvec_t * compspec, cvec_t * spectrum) {
378  uint_t i = 0;
379  spectrum->norm[0] = ABS(compspec->data[0]);
380  for (i=1; i < spectrum->length - 1; i++) {
381    spectrum->norm[i] = SQRT(SQR(compspec->data[i])
382        + SQR(compspec->data[compspec->length - i]) );
383  }
384  spectrum->norm[spectrum->length-1] =
385    ABS(compspec->data[compspec->length/2]);
386}
387
388void aubio_fft_get_imag(cvec_t * spectrum, fvec_t * compspec) {
389  uint_t i;
390  for (i = 1; i < ( compspec->length + 1 ) / 2 /*- 1 + 1*/; i++) {
391    compspec->data[compspec->length - i] =
392      spectrum->norm[i]*SIN(spectrum->phas[i]);
393  }
394}
395
396void aubio_fft_get_real(cvec_t * spectrum, fvec_t * compspec) {
397  uint_t i;
398  for (i = 0; i < compspec->length / 2 + 1; i++) {
399    compspec->data[i] = 
400      spectrum->norm[i]*COS(spectrum->phas[i]);
401  }
402}
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