2 Copyright (C) 2003-2014 Paul Brossier <piem@aubio.org>
4 This file is part of aubio.
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.
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.
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/>.
21 /* see in mathutils.h for doc */
23 #include "aubio_priv.h"
25 #include "mathutils.h"
26 #include "musicutils.h"
28 #if defined HAVE_INTEL_IPP
42 aubio_win_blackman_harris,
46 aubio_win_default = aubio_win_hanningz,
50 new_aubio_window (char_t * window_type, uint_t length)
52 fvec_t * win = new_fvec (length);
57 err = fvec_set_window (win, window_type);
65 uint_t fvec_set_window (fvec_t *win, char_t *window_type) {
66 smpl_t * w = win->data;
67 uint_t i, size = win->length;
68 aubio_window_type wintype;
69 if (window_type == NULL) {
70 AUBIO_ERR ("window type can not be null.\n");
72 } else if (strcmp (window_type, "rectangle") == 0)
73 wintype = aubio_win_rectangle;
74 else if (strcmp (window_type, "hamming") == 0)
75 wintype = aubio_win_hamming;
76 else if (strcmp (window_type, "hanning") == 0)
77 wintype = aubio_win_hanning;
78 else if (strcmp (window_type, "hanningz") == 0)
79 wintype = aubio_win_hanningz;
80 else if (strcmp (window_type, "blackman") == 0)
81 wintype = aubio_win_blackman;
82 else if (strcmp (window_type, "blackman_harris") == 0)
83 wintype = aubio_win_blackman_harris;
84 else if (strcmp (window_type, "gaussian") == 0)
85 wintype = aubio_win_gaussian;
86 else if (strcmp (window_type, "welch") == 0)
87 wintype = aubio_win_welch;
88 else if (strcmp (window_type, "parzen") == 0)
89 wintype = aubio_win_parzen;
90 else if (strcmp (window_type, "default") == 0)
91 wintype = aubio_win_default;
93 AUBIO_ERR ("unknown window type `%s`.\n", window_type);
97 case aubio_win_rectangle:
101 case aubio_win_hamming:
103 w[i] = 0.54 - 0.46 * COS(TWO_PI * i / (size));
105 case aubio_win_hanning:
107 w[i] = 0.5 - (0.5 * COS(TWO_PI * i / (size)));
109 case aubio_win_hanningz:
111 w[i] = 0.5 * (1.0 - COS(TWO_PI * i / (size)));
113 case aubio_win_blackman:
116 - 0.50 * COS( TWO_PI*i/(size-1.0))
117 + 0.08 * COS(2.0*TWO_PI*i/(size-1.0));
119 case aubio_win_blackman_harris:
122 - 0.48829 * COS( TWO_PI*i/(size-1.0))
123 + 0.14128 * COS(2.0*TWO_PI*i/(size-1.0))
124 - 0.01168 * COS(3.0*TWO_PI*i/(size-1.0));
126 case aubio_win_gaussian:
128 lsmp_t a, b, c = 0.5;
130 for (n = 0; n < size; n++)
132 a = (n-c*(size-1))/(SQR(c)*(size-1));
138 case aubio_win_welch:
140 w[i] = 1.0 - SQR((2.*i-size)/(size+1.0));
142 case aubio_win_parzen:
144 w[i] = 1.0 - ABS((2.f*i-size)/(size+1.0f));
153 aubio_unwrap2pi (smpl_t phase)
155 /* mod(phase+pi,-2pi)+pi */
156 return phase + TWO_PI * (1. + FLOOR (-(phase + PI) / TWO_PI));
160 fvec_mean (fvec_t * s)
163 #if defined(HAVE_INTEL_IPP)
164 #if HAVE_AUBIO_DOUBLE
165 ippsMean_64f(s->data, (int)s->length, &tmp);
167 ippsMean_32f(s->data, (int)s->length, &tmp, ippAlgHintFast);
170 #elif defined(HAVE_ACCELERATE)
171 aubio_vDSP_meanv(s->data, 1, &tmp, s->length);
175 for (j = 0; j < s->length; j++) {
178 return tmp / (smpl_t)(s->length);
183 fvec_sum (fvec_t * s)
186 #if defined(HAVE_INTEL_IPP)
187 #if HAVE_AUBIO_DOUBLE
188 ippsSum_64f(s->data, (int)s->length, &tmp);
190 ippsSum_32f(s->data, (int)s->length, &tmp, ippAlgHintFast);
192 #elif defined(HAVE_ACCELERATE)
193 aubio_vDSP_sve(s->data, 1, &tmp, s->length);
196 for (j = 0; j < s->length; j++) {
204 fvec_max (fvec_t * s)
206 #if defined(HAVE_INTEL_IPP)
208 #if HAVE_AUBIO_DOUBLE
209 ippsMax_64f( s->data, (int)s->length, &tmp);
211 ippsMax_32f( s->data, (int)s->length, &tmp);
213 #elif defined(HAVE_ACCELERATE)
215 aubio_vDSP_maxv( s->data, 1, &tmp, s->length );
218 smpl_t tmp = s->data[0];
219 for (j = 1; j < s->length; j++) {
220 tmp = (tmp > s->data[j]) ? tmp : s->data[j];
227 fvec_min (fvec_t * s)
229 #if defined(HAVE_INTEL_IPP)
231 #if HAVE_AUBIO_DOUBLE
232 ippsMin_64f(s->data, (int)s->length, &tmp);
234 ippsMin_32f(s->data, (int)s->length, &tmp);
236 #elif defined(HAVE_ACCELERATE)
238 aubio_vDSP_minv(s->data, 1, &tmp, s->length);
241 smpl_t tmp = s->data[0];
242 for (j = 1; j < s->length; j++) {
243 tmp = (tmp < s->data[j]) ? tmp : s->data[j];
250 fvec_min_elem (fvec_t * s)
252 #ifndef HAVE_ACCELERATE
254 smpl_t tmp = s->data[0];
255 for (j = 0; j < s->length; j++) {
256 pos = (tmp < s->data[j]) ? pos : j;
257 tmp = (tmp < s->data[j]) ? tmp : s->data[j];
262 aubio_vDSP_minvi(s->data, 1, &tmp, &pos, s->length);
268 fvec_max_elem (fvec_t * s)
270 #ifndef HAVE_ACCELERATE
273 for (j = 0; j < s->length; j++) {
274 pos = (tmp > s->data[j]) ? pos : j;
275 tmp = (tmp > s->data[j]) ? tmp : s->data[j];
280 aubio_vDSP_maxvi(s->data, 1, &tmp, &pos, s->length);
286 fvec_shift (fvec_t * s)
288 uint_t half = s->length / 2, start = half, j;
289 // if length is odd, middle element is moved to the end
290 if (2 * half < s->length) start ++;
292 for (j = 0; j < half; j++) {
293 ELEM_SWAP (s->data[j], s->data[j + start]);
296 aubio_cblas_swap(half, s->data, 1, s->data + start, 1);
299 for (j = 0; j < half; j++) {
300 ELEM_SWAP (s->data[j + start - 1], s->data[j + start]);
306 fvec_ishift (fvec_t * s)
308 uint_t half = s->length / 2, start = half, j;
309 // if length is odd, middle element is moved to the beginning
310 if (2 * half < s->length) start ++;
312 for (j = 0; j < half; j++) {
313 ELEM_SWAP (s->data[j], s->data[j + start]);
316 aubio_cblas_swap(half, s->data, 1, s->data + start, 1);
319 for (j = 0; j < half; j++) {
320 ELEM_SWAP (s->data[half], s->data[j]);
325 void fvec_push(fvec_t *in, smpl_t new_elem) {
327 for (i = 0; i < in->length - 1; i++) {
328 in->data[i] = in->data[i + 1];
330 in->data[in->length - 1] = new_elem;
333 void fvec_clamp(fvec_t *in, smpl_t absmax) {
335 for (i = 0; i < in->length; i++) {
336 if (in->data[i] > 0 && in->data[i] > ABS(absmax)) {
337 in->data[i] = absmax;
338 } else if (in->data[i] < 0 && in->data[i] < -ABS(absmax)) {
339 in->data[i] = -absmax;
345 aubio_level_lin (const fvec_t * f)
350 for (j = 0; j < f->length; j++) {
351 energy += SQR (f->data[j]);
354 energy = aubio_cblas_dot(f->length, f->data, 1, f->data, 1);
356 return energy / f->length;
360 fvec_local_hfc (fvec_t * v)
364 for (j = 0; j < v->length; j++) {
365 hfc += (j + 1) * v->data[j];
371 fvec_min_removal (fvec_t * v)
373 smpl_t v_min = fvec_min (v);
374 fvec_add (v, - v_min );
378 fvec_alpha_norm (fvec_t * o, smpl_t alpha)
382 for (j = 0; j < o->length; j++) {
383 tmp += POW (ABS (o->data[j]), alpha);
385 return POW (tmp / o->length, 1. / alpha);
389 fvec_alpha_normalise (fvec_t * o, smpl_t alpha)
392 smpl_t norm = fvec_alpha_norm (o, alpha);
393 for (j = 0; j < o->length; j++) {
399 fvec_add (fvec_t * o, smpl_t val)
402 for (j = 0; j < o->length; j++) {
407 void fvec_adapt_thres(fvec_t * vec, fvec_t * tmp,
408 uint_t post, uint_t pre) {
409 uint_t length = vec->length, j;
410 for (j=0;j<length;j++) {
411 vec->data[j] -= fvec_moving_thres(vec, tmp, post, pre, j);
416 fvec_moving_thres (fvec_t * vec, fvec_t * tmpvec,
417 uint_t post, uint_t pre, uint_t pos)
420 smpl_t *medar = (smpl_t *) tmpvec->data;
421 uint_t win_length = post + pre + 1;
422 uint_t length = vec->length;
423 /* post part of the buffer does not exist */
424 if (pos < post + 1) {
425 for (k = 0; k < post + 1 - pos; k++)
426 medar[k] = 0.; /* 0-padding at the beginning */
427 for (k = post + 1 - pos; k < win_length; k++)
428 medar[k] = vec->data[k + pos - post];
429 /* the buffer is fully defined */
430 } else if (pos + pre < length) {
431 for (k = 0; k < win_length; k++)
432 medar[k] = vec->data[k + pos - post];
433 /* pre part of the buffer does not exist */
435 for (k = 0; k < length - pos + post; k++)
436 medar[k] = vec->data[k + pos - post];
437 for (k = length - pos + post; k < win_length; k++)
438 medar[k] = 0.; /* 0-padding at the end */
440 return fvec_median (tmpvec);
443 smpl_t fvec_median (fvec_t * input) {
444 uint_t n = input->length;
445 smpl_t * arr = (smpl_t *) input->data;
448 uint_t middle, ll, hh;
450 low = 0 ; high = n-1 ; median = (low + high) / 2;
452 if (high <= low) /* One element only */
455 if (high == low + 1) { /* Two elements only */
456 if (arr[low] > arr[high])
457 ELEM_SWAP(arr[low], arr[high]) ;
461 /* Find median of low, middle and high items; swap into position low */
462 middle = (low + high) / 2;
463 if (arr[middle] > arr[high]) ELEM_SWAP(arr[middle], arr[high]);
464 if (arr[low] > arr[high]) ELEM_SWAP(arr[low], arr[high]);
465 if (arr[middle] > arr[low]) ELEM_SWAP(arr[middle], arr[low]) ;
467 /* Swap low item (now in position middle) into position (low+1) */
468 ELEM_SWAP(arr[middle], arr[low+1]) ;
470 /* Nibble from each end towards middle, swapping items when stuck */
474 do ll++; while (arr[low] > arr[ll]) ;
475 do hh--; while (arr[hh] > arr[low]) ;
480 ELEM_SWAP(arr[ll], arr[hh]) ;
483 /* Swap middle item (in position low) back into correct position */
484 ELEM_SWAP(arr[low], arr[hh]) ;
486 /* Re-set active partition */
494 smpl_t fvec_quadratic_peak_pos (const fvec_t * x, uint_t pos) {
495 smpl_t s0, s1, s2; uint_t x0, x2;
496 smpl_t half = .5, two = 2.;
497 if (pos == 0 || pos == x->length - 1) return pos;
498 x0 = (pos < 1) ? pos : pos - 1;
499 x2 = (pos + 1 < x->length) ? pos + 1 : pos;
500 if (x0 == pos) return (x->data[pos] <= x->data[x2]) ? pos : x2;
501 if (x2 == pos) return (x->data[pos] <= x->data[x0]) ? pos : x0;
505 return pos + half * (s0 - s2 ) / (s0 - two * s1 + s2);
508 smpl_t fvec_quadratic_peak_mag (fvec_t *x, smpl_t pos) {
510 uint_t index = (uint_t)(pos - .5) + 1;
511 if (pos >= x->length || pos < 0.) return 0.;
512 if ((smpl_t)index == pos) return x->data[index];
513 x0 = x->data[index - 1];
515 x2 = x->data[index + 1];
516 return x1 - .25 * (x0 - x2) * (pos - index);
519 uint_t fvec_peakpick(const fvec_t * onset, uint_t pos) {
521 tmp = (onset->data[pos] > onset->data[pos-1]
522 && onset->data[pos] > onset->data[pos+1]
523 && onset->data[pos] > 0.);
528 aubio_quadfrac (smpl_t s0, smpl_t s1, smpl_t s2, smpl_t pf)
531 s0 + (pf / 2.) * (pf * (s0 - 2. * s1 + s2) - 3. * s0 + 4. * s1 - s2);
536 aubio_freqtomidi (smpl_t freq)
539 if (freq < 2. || freq > 100000.) return 0.; // avoid nans and infs
540 /* log(freq/A-2)/log(2) */
542 midi = LOG (midi) / 0.69314718055995;
549 aubio_miditofreq (smpl_t midi)
552 if (midi > 140.) return 0.; // avoid infs
553 freq = (midi + 3.) / 12.;
554 freq = EXP (freq * 0.69314718055995);
560 aubio_bintofreq (smpl_t bin, smpl_t samplerate, smpl_t fftsize)
562 smpl_t freq = samplerate / fftsize;
563 return freq * MAX(bin, 0);
567 aubio_bintomidi (smpl_t bin, smpl_t samplerate, smpl_t fftsize)
569 smpl_t midi = aubio_bintofreq (bin, samplerate, fftsize);
570 return aubio_freqtomidi (midi);
574 aubio_freqtobin (smpl_t freq, smpl_t samplerate, smpl_t fftsize)
576 smpl_t bin = fftsize / samplerate;
577 return MAX(freq, 0) * bin;
581 aubio_miditobin (smpl_t midi, smpl_t samplerate, smpl_t fftsize)
583 smpl_t freq = aubio_miditofreq (midi);
584 return aubio_freqtobin (freq, samplerate, fftsize);
588 aubio_is_power_of_two (uint_t a)
590 if ((a & (a - 1)) == 0) {
598 aubio_next_power_of_two (uint_t a)
601 while (i < a) i <<= 1;
606 aubio_power_of_two_order (uint_t a)
609 int temp = aubio_next_power_of_two(a);
617 aubio_db_spl (const fvec_t * o)
619 return 10. * LOG10 (aubio_level_lin (o));
623 aubio_silence_detection (const fvec_t * o, smpl_t threshold)
625 return (aubio_db_spl (o) < threshold);
629 aubio_level_detection (const fvec_t * o, smpl_t threshold)
631 smpl_t db_spl = aubio_db_spl (o);
632 if (db_spl < threshold) {
640 aubio_zero_crossing_rate (fvec_t * input)
644 for (j = 1; j < input->length; j++) {
645 // previous was strictly negative
646 if (input->data[j - 1] < 0.) {
647 // current is positive or null
648 if (input->data[j] >= 0.) {
651 // previous was positive or null
653 // current is strictly negative
654 if (input->data[j] < 0.) {
659 return zcr / (smpl_t) input->length;
663 aubio_autocorr (const fvec_t * input, fvec_t * output)
665 uint_t i, j, length = input->length;
670 for (i = 0; i < length; i++) {
672 for (j = i; j < length; j++) {
673 tmp += data[j - i] * data[j];
675 acf[i] = tmp / (smpl_t) (length - i);
682 /* initialize intel IPP */
683 #ifdef HAVE_INTEL_IPP
684 IppStatus status = ippInit();
685 if (status != ippStsNoErr) {
686 fprintf (stderr, "Error: failed to initialize Intel IPP - status %d\n", status);