source: src/spectral/fft.c @ 4ac4ebc

sampler
Last change on this file since 4ac4ebc was a206edf, checked in by Paul Brossier <piem@piem.org>, 8 years ago

src/spectral/fft.c: use prefixed aubio_ooura_rdft
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File size: 13.4 KB
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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#error "Using aubio in double precision with fftw3 in single precision"
68#endif /* HAVE_AUBIO_DOUBLE */
69#define real_t float
70#elif defined (HAVE_FFTW3) /* HAVE_FFTW3F */
71#if !HAVE_AUBIO_DOUBLE
72#error "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#if !HAVE_AUBIO_DOUBLE
86#define aubio_vDSP_ctoz                vDSP_ctoz
87#define aubio_vDSP_fft_zrip            vDSP_fft_zrip
88#define aubio_vDSP_ztoc                vDSP_ztoc
89#define aubio_vDSP_zvmags              vDSP_zvmags
90#define aubio_vDSP_zvphas              vDSP_zvphas
91#define aubio_vDSP_vsadd               vDSP_vsadd
92#define aubio_vDSP_vsmul               vDSP_vsmul
93#define aubio_vDSP_create_fftsetup     vDSP_create_fftsetup
94#define aubio_vDSP_destroy_fftsetup    vDSP_destroy_fftsetup
95#define aubio_DSPComplex               DSPComplex
96#define aubio_DSPSplitComplex          DSPSplitComplex
97#define aubio_FFTSetup                 FFTSetup
98#define aubio_vvsqrt                   vvsqrtf
99#else
100#define aubio_vDSP_ctoz                vDSP_ctozD
101#define aubio_vDSP_fft_zrip            vDSP_fft_zripD
102#define aubio_vDSP_ztoc                vDSP_ztocD
103#define aubio_vDSP_zvmags              vDSP_zvmagsD
104#define aubio_vDSP_zvphas              vDSP_zvphasD
105#define aubio_vDSP_vsadd               vDSP_vsaddD
106#define aubio_vDSP_vsmul               vDSP_vsmulD
107#define aubio_vDSP_create_fftsetup     vDSP_create_fftsetupD
108#define aubio_vDSP_destroy_fftsetup    vDSP_destroy_fftsetupD
109#define aubio_DSPComplex               DSPDoubleComplex
110#define aubio_DSPSplitComplex          DSPDoubleSplitComplex
111#define aubio_FFTSetup                 FFTSetupD
112#define aubio_vvsqrt                   vvsqrt
113#endif /* HAVE_AUBIO_DOUBLE */
114
115#else                         // using OOURA
116// let's use ooura instead
117extern void aubio_ooura_rdft(int, int, smpl_t *, int *, smpl_t *);
118
119#endif /* HAVE_ACCELERATE */
120#endif /* HAVE_FFTW3 */
121
122struct _aubio_fft_t {
123  uint_t winsize;
124  uint_t fft_size;
125#ifdef HAVE_FFTW3             // using FFTW3
126  real_t *in, *out;
127  fftw_plan pfw, pbw;
128  fft_data_t * specdata;      /* complex spectral data */
129#else
130#ifdef HAVE_ACCELERATE        // using ACCELERATE
131  int log2fftsize;
132  aubio_FFTSetup fftSetup;
133  aubio_DSPSplitComplex spec;
134  smpl_t *in, *out;
135#else                         // using OOURA
136  smpl_t *in, *out;
137  smpl_t *w;
138  int *ip;
139#endif /* HAVE_ACCELERATE */
140#endif /* HAVE_FFTW3 */
141  fvec_t * compspec;
142};
143
144aubio_fft_t * new_aubio_fft (uint_t winsize) {
145  aubio_fft_t * s = AUBIO_NEW(aubio_fft_t);
146  if ((sint_t)winsize < 2) {
147    AUBIO_ERR("fft: got winsize %d, but can not be < 2\n", winsize);
148    goto beach;
149  }
150#ifdef HAVE_FFTW3
151  uint_t i;
152  s->winsize  = winsize;
153  /* allocate memory */
154  s->in       = AUBIO_ARRAY(real_t,winsize);
155  s->out      = AUBIO_ARRAY(real_t,winsize);
156  s->compspec = new_fvec(winsize);
157  /* create plans */
158  pthread_mutex_lock(&aubio_fftw_mutex);
159#ifdef HAVE_COMPLEX_H
160  s->fft_size = winsize/2 + 1;
161  s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size);
162  s->pfw = fftw_plan_dft_r2c_1d(winsize, s->in,  s->specdata, FFTW_ESTIMATE);
163  s->pbw = fftw_plan_dft_c2r_1d(winsize, s->specdata, s->out, FFTW_ESTIMATE);
164#else
165  s->fft_size = winsize;
166  s->specdata = (fft_data_t*)fftw_malloc(sizeof(fft_data_t)*s->fft_size);
167  s->pfw = fftw_plan_r2r_1d(winsize, s->in,  s->specdata, FFTW_R2HC, FFTW_ESTIMATE);
168  s->pbw = fftw_plan_r2r_1d(winsize, s->specdata, s->out, FFTW_HC2R, FFTW_ESTIMATE);
169#endif
170  pthread_mutex_unlock(&aubio_fftw_mutex);
171  for (i = 0; i < s->winsize; i++) {
172    s->in[i] = 0.;
173    s->out[i] = 0.;
174  }
175  for (i = 0; i < s->fft_size; i++) {
176    s->specdata[i] = 0.;
177  }
178#else
179#ifdef HAVE_ACCELERATE        // using ACCELERATE
180  s->winsize = winsize;
181  s->fft_size = winsize;
182  s->compspec = new_fvec(winsize);
183  s->log2fftsize = (uint_t)log2f(s->fft_size);
184  s->in = AUBIO_ARRAY(smpl_t, s->fft_size);
185  s->out = AUBIO_ARRAY(smpl_t, s->fft_size);
186  s->spec.realp = AUBIO_ARRAY(smpl_t, s->fft_size/2);
187  s->spec.imagp = AUBIO_ARRAY(smpl_t, s->fft_size/2);
188  s->fftSetup = aubio_vDSP_create_fftsetup(s->log2fftsize, FFT_RADIX2);
189#else                         // using OOURA
190  if (aubio_is_power_of_two(winsize) != 1) {
191    AUBIO_ERR("fft: can only create with sizes power of two, requested %d,"
192        " try recompiling aubio with --enable-fftw3\n", winsize);
193    goto beach;
194  }
195  s->winsize = winsize;
196  s->fft_size = winsize / 2 + 1;
197  s->compspec = new_fvec(winsize);
198  s->in    = AUBIO_ARRAY(smpl_t, s->winsize);
199  s->out   = AUBIO_ARRAY(smpl_t, s->winsize);
200  s->ip    = AUBIO_ARRAY(int   , s->fft_size);
201  s->w     = AUBIO_ARRAY(smpl_t, s->fft_size);
202  s->ip[0] = 0;
203#endif /* HAVE_ACCELERATE */
204#endif /* HAVE_FFTW3 */
205  return s;
206beach:
207  AUBIO_FREE(s);
208  return NULL;
209}
210
211void del_aubio_fft(aubio_fft_t * s) {
212  /* destroy data */
213  del_fvec(s->compspec);
214#ifdef HAVE_FFTW3             // using FFTW3
215  pthread_mutex_lock(&aubio_fftw_mutex);
216  fftw_destroy_plan(s->pfw);
217  fftw_destroy_plan(s->pbw);
218  fftw_free(s->specdata);
219  pthread_mutex_unlock(&aubio_fftw_mutex);
220#else /* HAVE_FFTW3 */
221#ifdef HAVE_ACCELERATE        // using ACCELERATE
222  AUBIO_FREE(s->spec.realp);
223  AUBIO_FREE(s->spec.imagp);
224  aubio_vDSP_destroy_fftsetup(s->fftSetup);
225#else                         // using OOURA
226  AUBIO_FREE(s->w);
227  AUBIO_FREE(s->ip);
228#endif /* HAVE_ACCELERATE */
229#endif /* HAVE_FFTW3 */
230  AUBIO_FREE(s->out);
231  AUBIO_FREE(s->in);
232  AUBIO_FREE(s);
233}
234
235void aubio_fft_do(aubio_fft_t * s, const fvec_t * input, cvec_t * spectrum) {
236  aubio_fft_do_complex(s, input, s->compspec);
237  aubio_fft_get_spectrum(s->compspec, spectrum);
238}
239
240void aubio_fft_rdo(aubio_fft_t * s, const cvec_t * spectrum, fvec_t * output) {
241  aubio_fft_get_realimag(spectrum, s->compspec);
242  aubio_fft_rdo_complex(s, s->compspec, output);
243}
244
245void aubio_fft_do_complex(aubio_fft_t * s, const fvec_t * input, fvec_t * compspec) {
246  uint_t i;
247#ifndef HAVE_MEMCPY_HACKS
248  for (i=0; i < s->winsize; i++) {
249    s->in[i] = input->data[i];
250  }
251#else
252  memcpy(s->in, input->data, s->winsize * sizeof(smpl_t));
253#endif /* HAVE_MEMCPY_HACKS */
254#ifdef HAVE_FFTW3             // using FFTW3
255  fftw_execute(s->pfw);
256#ifdef HAVE_COMPLEX_H
257  compspec->data[0] = REAL(s->specdata[0]);
258  for (i = 1; i < s->fft_size -1 ; i++) {
259    compspec->data[i] = REAL(s->specdata[i]);
260    compspec->data[compspec->length - i] = IMAG(s->specdata[i]);
261  }
262  compspec->data[s->fft_size-1] = REAL(s->specdata[s->fft_size-1]);
263#else /* HAVE_COMPLEX_H  */
264  for (i = 0; i < s->fft_size; i++) {
265    compspec->data[i] = s->specdata[i];
266  }
267#endif /* HAVE_COMPLEX_H */
268#else /* HAVE_FFTW3 */
269#ifdef HAVE_ACCELERATE        // using ACCELERATE
270  // convert real data to even/odd format used in vDSP
271  aubio_vDSP_ctoz((aubio_DSPComplex*)s->in, 2, &s->spec, 1, s->fft_size/2);
272  // compute the FFT
273  aubio_vDSP_fft_zrip(s->fftSetup, &s->spec, 1, s->log2fftsize, FFT_FORWARD);
274  // convert from vDSP complex split to [ r0, r1, ..., rN, iN-1, .., i2, i1]
275  compspec->data[0] = s->spec.realp[0];
276  compspec->data[s->fft_size / 2] = s->spec.imagp[0];
277  for (i = 1; i < s->fft_size / 2; i++) {
278    compspec->data[i] = s->spec.realp[i];
279    compspec->data[s->fft_size - i] = s->spec.imagp[i];
280  }
281  // apply scaling
282  smpl_t scale = 1./2.;
283  aubio_vDSP_vsmul(compspec->data, 1, &scale, compspec->data, 1, s->fft_size);
284#else                         // using OOURA
285  aubio_ooura_rdft(s->winsize, 1, s->in, s->ip, s->w);
286  compspec->data[0] = s->in[0];
287  compspec->data[s->winsize / 2] = s->in[1];
288  for (i = 1; i < s->fft_size - 1; i++) {
289    compspec->data[i] = s->in[2 * i];
290    compspec->data[s->winsize - i] = - s->in[2 * i + 1];
291  }
292#endif /* HAVE_ACCELERATE */
293#endif /* HAVE_FFTW3 */
294}
295
296void aubio_fft_rdo_complex(aubio_fft_t * s, const fvec_t * compspec, fvec_t * output) {
297  uint_t i;
298#ifdef HAVE_FFTW3
299  const smpl_t renorm = 1./(smpl_t)s->winsize;
300#ifdef HAVE_COMPLEX_H
301  s->specdata[0] = compspec->data[0];
302  for (i=1; i < s->fft_size - 1; i++) {
303    s->specdata[i] = compspec->data[i] +
304      I * compspec->data[compspec->length - i];
305  }
306  s->specdata[s->fft_size - 1] = compspec->data[s->fft_size - 1];
307#else
308  for (i=0; i < s->fft_size; i++) {
309    s->specdata[i] = compspec->data[i];
310  }
311#endif
312  fftw_execute(s->pbw);
313  for (i = 0; i < output->length; i++) {
314    output->data[i] = s->out[i]*renorm;
315  }
316#else /* HAVE_FFTW3 */
317#ifdef HAVE_ACCELERATE        // using ACCELERATE
318  // convert from real imag  [ r0, r1, ..., rN, iN-1, .., i2, i1]
319  // to vDSP packed format   [ r0, rN, r1, i1, ..., rN-1, iN-1 ]
320  s->out[0] = compspec->data[0];
321  s->out[1] = compspec->data[s->winsize / 2];
322  for (i = 1; i < s->fft_size / 2; i++) {
323    s->out[2 * i] = compspec->data[i];
324    s->out[2 * i + 1] = compspec->data[s->winsize - i];
325  }
326  // convert to split complex format used in vDSP
327  aubio_vDSP_ctoz((aubio_DSPComplex*)s->out, 2, &s->spec, 1, s->fft_size/2);
328  // compute the FFT
329  aubio_vDSP_fft_zrip(s->fftSetup, &s->spec, 1, s->log2fftsize, FFT_INVERSE);
330  // convert result to real output
331  aubio_vDSP_ztoc(&s->spec, 1, (aubio_DSPComplex*)output->data, 2, s->fft_size/2);
332  // apply scaling
333  smpl_t scale = 1.0 / s->winsize;
334  aubio_vDSP_vsmul(output->data, 1, &scale, output->data, 1, s->fft_size);
335#else                         // using OOURA
336  smpl_t scale = 2.0 / s->winsize;
337  s->out[0] = compspec->data[0];
338  s->out[1] = compspec->data[s->winsize / 2];
339  for (i = 1; i < s->fft_size - 1; i++) {
340    s->out[2 * i] = compspec->data[i];
341    s->out[2 * i + 1] = - compspec->data[s->winsize - i];
342  }
343  aubio_ooura_rdft(s->winsize, -1, s->out, s->ip, s->w);
344  for (i=0; i < s->winsize; i++) {
345    output->data[i] = s->out[i] * scale;
346  }
347#endif /* HAVE_ACCELERATE */
348#endif /* HAVE_FFTW3 */
349}
350
351void aubio_fft_get_spectrum(const fvec_t * compspec, cvec_t * spectrum) {
352  aubio_fft_get_phas(compspec, spectrum);
353  aubio_fft_get_norm(compspec, spectrum);
354}
355
356void aubio_fft_get_realimag(const cvec_t * spectrum, fvec_t * compspec) {
357  aubio_fft_get_imag(spectrum, compspec);
358  aubio_fft_get_real(spectrum, compspec);
359}
360
361void aubio_fft_get_phas(const fvec_t * compspec, cvec_t * spectrum) {
362  uint_t i;
363  if (compspec->data[0] < 0) {
364    spectrum->phas[0] = PI;
365  } else {
366    spectrum->phas[0] = 0.;
367  }
368  for (i=1; i < spectrum->length - 1; i++) {
369    spectrum->phas[i] = ATAN2(compspec->data[compspec->length-i],
370        compspec->data[i]);
371  }
372  if (compspec->data[compspec->length/2] < 0) {
373    spectrum->phas[spectrum->length - 1] = PI;
374  } else {
375    spectrum->phas[spectrum->length - 1] = 0.;
376  }
377}
378
379void aubio_fft_get_norm(const fvec_t * compspec, cvec_t * spectrum) {
380  uint_t i = 0;
381  spectrum->norm[0] = ABS(compspec->data[0]);
382  for (i=1; i < spectrum->length - 1; i++) {
383    spectrum->norm[i] = SQRT(SQR(compspec->data[i])
384        + SQR(compspec->data[compspec->length - i]) );
385  }
386  spectrum->norm[spectrum->length-1] =
387    ABS(compspec->data[compspec->length/2]);
388}
389
390void aubio_fft_get_imag(const cvec_t * spectrum, fvec_t * compspec) {
391  uint_t i;
392  for (i = 1; i < ( compspec->length + 1 ) / 2 /*- 1 + 1*/; i++) {
393    compspec->data[compspec->length - i] =
394      spectrum->norm[i]*SIN(spectrum->phas[i]);
395  }
396}
397
398void aubio_fft_get_real(const cvec_t * spectrum, fvec_t * compspec) {
399  uint_t i;
400  for (i = 0; i < compspec->length / 2 + 1; i++) {
401    compspec->data[i] =
402      spectrum->norm[i]*COS(spectrum->phas[i]);
403  }
404}
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