ref: b24c909d7bc8da333e6baa1acc529e5d6e4869aa
dir: /src/pitch/pitchmcomb.c/
/*
Copyright (C) 2003-2009 Paul Brossier <piem@aubio.org>
This file is part of aubio.
aubio 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 3 of the License, or
(at your option) any later version.
aubio 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 aubio. If not, see <http://www.gnu.org/licenses/>.
*/
#include "aubio_priv.h"
#include "fvec.h"
#include "cvec.h"
#include "mathutils.h"
#include "pitch/pitchmcomb.h"
#define CAND_SWAP(a,b) { register aubio_spectralcandidate_t *t=(a);(a)=(b);(b)=t; }
typedef struct _aubio_spectralpeak_t aubio_spectralpeak_t;
typedef struct _aubio_spectralcandidate_t aubio_spectralcandidate_t;
uint_t aubio_pitchmcomb_get_root_peak (aubio_spectralpeak_t * peaks,
uint_t length);
uint_t aubio_pitchmcomb_quadpick (aubio_spectralpeak_t * spectral_peaks,
const fvec_t * X);
void aubio_pitchmcomb_spectral_pp (aubio_pitchmcomb_t * p, const fvec_t * oldmag);
void aubio_pitchmcomb_combdet (aubio_pitchmcomb_t * p, const fvec_t * newmag);
/* not used but useful : sort by amplitudes (or anything else)
* sort_pitchpeak(peaks, length);
*/
/** spectral_peak comparison function (must return signed int) */
static sint_t aubio_pitchmcomb_sort_peak_comp (const void *x, const void *y);
/** sort spectral_peak against their mag */
void aubio_pitchmcomb_sort_peak (aubio_spectralpeak_t * peaks, uint_t nbins);
/** select the best candidates */
uint_t aubio_pitch_cands (aubio_pitchmcomb_t * p, const cvec_t * fftgrain,
smpl_t * cands);
/** sort spectral_candidate against their comb ene */
void aubio_pitchmcomb_sort_cand_ene (aubio_spectralcandidate_t ** candidates,
uint_t nbins);
/** sort spectral_candidate against their frequency */
void aubio_pitchmcomb_sort_cand_freq (aubio_spectralcandidate_t ** candidates,
uint_t nbins);
struct _aubio_pitchmcomb_t
{
smpl_t threshold; /**< offset threshold [0.033 or 0.01] */
smpl_t alpha; /**< normalisation exponent [9] */
smpl_t cutoff; /**< low-pass filter cutoff [0.34, 1] */
smpl_t tol; /**< tolerance [0.05] */
// smpl_t tau; /**< frequency precision [44100/4096] */
uint_t win_post; /**< median filter window length */
uint_t win_pre; /**< median filter window */
uint_t ncand; /**< maximum number of candidates (combs) */
uint_t npartials; /**< maximum number of partials per combs */
uint_t count; /**< picked picks */
uint_t goodcandidate; /**< best candidate */
uint_t spec_partition; /**< spectrum partition to consider */
aubio_spectralpeak_t *peaks; /**< up to length win/spec_partition */
aubio_spectralcandidate_t **candidates; /** up to five candidates */
/* some scratch pads */
/** \bug (unnecessary copied from fftgrain?) */
fvec_t *newmag; /**< vec to store mag */
fvec_t *scratch; /**< vec to store modified mag */
fvec_t *scratch2; /**< vec to compute moving median */
fvec_t *theta; /**< vec to store phase */
smpl_t phasediff;
smpl_t phasefreq;
/** threshfn: name or handle of fn for computing adaptive threshold [median] */
/** aubio_thresholdfn_t thresholdfn; */
/** picker: name or handle of fn for picking event times [quadpick] */
/** aubio_pickerfn_t pickerfn; */
};
/** spectral peak object */
struct _aubio_spectralpeak_t
{
uint_t bin; /**< bin [0-(length-1)] */
smpl_t ebin; /**< estimated bin */
smpl_t mag; /**< peak magnitude */
};
/** spectral candidates array object */
struct _aubio_spectralcandidate_t
{
smpl_t ebin; /**< interpolated bin */
smpl_t *ecomb; /**< comb */
smpl_t ene; /**< candidate energy */
smpl_t len; /**< length */
};
void
aubio_pitchmcomb_do (aubio_pitchmcomb_t * p, const cvec_t * fftgrain, fvec_t * output)
{
uint_t j;
smpl_t instfreq;
fvec_t *newmag = (fvec_t *) p->newmag;
//smpl_t hfc; //fe=instfreq(theta1,theta,ops); //theta1=theta;
/* copy incoming grain to newmag */
for (j = 0; j < newmag->length; j++)
newmag->data[j] = fftgrain->norm[j];
/* detect only if local energy > 10. */
//if (aubio_level_lin (newmag) * newmag->length > 10.) {
//hfc = fvec_local_hfc(newmag); //not used
aubio_pitchmcomb_spectral_pp (p, newmag);
aubio_pitchmcomb_combdet (p, newmag);
//aubio_pitchmcomb_sort_cand_freq(p->candidates,p->ncand);
//return p->candidates[p->goodcandidate]->ebin;
j = (uint_t) FLOOR (p->candidates[p->goodcandidate]->ebin + .5);
instfreq = aubio_unwrap2pi (fftgrain->phas[j]
- p->theta->data[j] - j * p->phasediff);
instfreq *= p->phasefreq;
/* store phase for next run */
for (j = 0; j < p->theta->length; j++) {
p->theta->data[j] = fftgrain->phas[j];
}
//return p->candidates[p->goodcandidate]->ebin;
output->data[0] =
FLOOR (p->candidates[p->goodcandidate]->ebin + .5) + instfreq;
/*} else {
return -1.;
} */
}
uint_t
aubio_pitch_cands (aubio_pitchmcomb_t * p, const cvec_t * fftgrain, smpl_t * cands)
{
uint_t j;
uint_t k;
fvec_t *newmag = (fvec_t *) p->newmag;
aubio_spectralcandidate_t **scands =
(aubio_spectralcandidate_t **) (p->candidates);
//smpl_t hfc; //fe=instfreq(theta1,theta,ops); //theta1=theta;
/* copy incoming grain to newmag */
for (j = 0; j < newmag->length; j++)
newmag->data[j] = fftgrain->norm[j];
/* detect only if local energy > 10. */
if (aubio_level_lin (newmag) * newmag->length > 10.) {
/* hfc = fvec_local_hfc(newmag); do not use */
aubio_pitchmcomb_spectral_pp (p, newmag);
aubio_pitchmcomb_combdet (p, newmag);
aubio_pitchmcomb_sort_cand_freq (scands, p->ncand);
/* store ncand comb energies in cands[1:ncand] */
for (k = 0; k < p->ncand; k++)
cands[k] = p->candidates[k]->ene;
/* store ncand[end] freq in cands[end] */
cands[p->ncand] = p->candidates[p->ncand - 1]->ebin;
return 1;
} else {
for (k = 0; k < p->ncand; k++)
cands[k] = 0;
return 0;
}
}
void
aubio_pitchmcomb_spectral_pp (aubio_pitchmcomb_t * p, const fvec_t * newmag)
{
fvec_t *mag = (fvec_t *) p->scratch;
fvec_t *tmp = (fvec_t *) p->scratch2;
uint_t j;
uint_t length = mag->length;
/* copy newmag to mag (scracth) */
for (j = 0; j < length; j++) {
mag->data[j] = newmag->data[j];
}
fvec_min_removal (mag); /* min removal */
fvec_alpha_normalise (mag, p->alpha); /* alpha normalisation */
/* skipped *//* low pass filtering */
/** \bug fvec_moving_thres may write out of bounds */
fvec_adapt_thres (mag, tmp, p->win_post, p->win_pre); /* adaptative threshold */
fvec_add (mag, -p->threshold); /* fixed threshold */
{
aubio_spectralpeak_t *peaks = (aubio_spectralpeak_t *) p->peaks;
uint_t count;
/* return bin and ebin */
count = aubio_pitchmcomb_quadpick (peaks, mag);
for (j = 0; j < count; j++)
peaks[j].mag = newmag->data[peaks[j].bin];
/* reset non peaks */
for (j = count; j < length; j++)
peaks[j].mag = 0.;
p->peaks = peaks;
p->count = count;
}
}
void
aubio_pitchmcomb_combdet (aubio_pitchmcomb_t * p, const fvec_t * newmag)
{
aubio_spectralpeak_t *peaks = (aubio_spectralpeak_t *) p->peaks;
aubio_spectralcandidate_t **candidate =
(aubio_spectralcandidate_t **) p->candidates;
/* parms */
uint_t N = p->npartials; /* maximum number of partials to be considered 10 */
uint_t M = p->ncand; /* maximum number of combs to be considered 5 */
uint_t length = newmag->length;
uint_t count = p->count;
uint_t k;
uint_t l;
uint_t d;
uint_t curlen = 0;
smpl_t delta2;
smpl_t xx;
uint_t position = 0;
uint_t root_peak = 0;
uint_t tmpl = 0;
smpl_t tmpene = 0.;
/* get the biggest peak in the spectrum */
root_peak = aubio_pitchmcomb_get_root_peak (peaks, count);
/* not enough partials in highest notes, could be forced */
//if (peaks[root_peak].ebin >= aubio_miditofreq(85.)/p->tau) N=2;
//if (peaks[root_peak].ebin >= aubio_miditofreq(90.)/p->tau) N=1;
/* now calculate the energy of each of the 5 combs */
for (l = 0; l < M; l++) {
smpl_t scaler = (1. / (l + 1.));
candidate[l]->ene = 0.; /* reset ene and len sums */
candidate[l]->len = 0.;
candidate[l]->ebin = scaler * peaks[root_peak].ebin;
/* if less than N peaks available, curlen < N */
if (candidate[l]->ebin != 0.)
curlen = (uint_t) FLOOR (length / (candidate[l]->ebin));
curlen = (N < curlen) ? N : curlen;
/* fill candidate[l]->ecomb[k] with (k+1)*candidate[l]->ebin */
for (k = 0; k < curlen; k++)
candidate[l]->ecomb[k] = (candidate[l]->ebin) * (k + 1.);
for (k = curlen; k < length; k++)
candidate[l]->ecomb[k] = 0.;
/* for each in candidate[l]->ecomb[k] */
for (k = 0; k < curlen; k++) {
xx = 100000.;
/** get the candidate->ecomb the closer to peaks.ebin
* (to cope with the inharmonicity)*/
for (d = 0; d < count; d++) {
delta2 = ABS (candidate[l]->ecomb[k] - peaks[d].ebin);
if (delta2 <= xx) {
position = d;
xx = delta2;
}
}
/* for a Q factor of 17, maintaining "constant Q filtering",
* and sum energy and length over non null combs */
if (17. * xx < candidate[l]->ecomb[k]) {
candidate[l]->ecomb[k] = peaks[position].ebin;
candidate[l]->ene += /* ecomb rounded to nearest int */
POW (newmag->data[(uint_t) FLOOR (candidate[l]->ecomb[k] + .5)],
0.25);
candidate[l]->len += 1. / curlen;
} else
candidate[l]->ecomb[k] = 0.;
}
/* punishment */
/*if (candidate[l]->len<0.6)
candidate[l]->ene=0.; */
/* remember best candidate energy (in polyphonic, could check for
* tmpene*1.1 < candidate->ene to reduce jumps towards low frequencies) */
if (tmpene < candidate[l]->ene) {
tmpl = l;
tmpene = candidate[l]->ene;
}
}
//p->candidates=candidate;
//p->peaks=peaks;
p->goodcandidate = tmpl;
}
/** T=quadpick(X): return indices of elements of X which are peaks and positive
* exact peak positions are retrieved by quadratic interpolation
*
* \bug peak-picking too picky, sometimes counts too many peaks ?
*/
uint_t
aubio_pitchmcomb_quadpick (aubio_spectralpeak_t * spectral_peaks, const fvec_t * X)
{
uint_t j, ispeak, count = 0;
for (j = 1; j < X->length - 1; j++) {
ispeak = fvec_peakpick (X, j);
if (ispeak) {
count += ispeak;
spectral_peaks[count - 1].bin = j;
spectral_peaks[count - 1].ebin = fvec_quadratic_peak_pos (X, j);
}
}
return count;
}
/* get predominant partial */
uint_t
aubio_pitchmcomb_get_root_peak (aubio_spectralpeak_t * peaks, uint_t length)
{
uint_t i, pos = 0;
smpl_t tmp = 0.;
for (i = 0; i < length; i++)
if (tmp <= peaks[i].mag) {
pos = i;
tmp = peaks[i].mag;
}
return pos;
}
void
aubio_pitchmcomb_sort_peak (aubio_spectralpeak_t * peaks, uint_t nbins)
{
qsort (peaks, nbins, sizeof (aubio_spectralpeak_t),
aubio_pitchmcomb_sort_peak_comp);
}
static sint_t
aubio_pitchmcomb_sort_peak_comp (const void *x, const void *y)
{
return (((aubio_spectralpeak_t *) y)->mag -
((aubio_spectralpeak_t *) x)->mag);
}
void
aubio_pitchmcomb_sort_cand_ene (aubio_spectralcandidate_t ** candidates,
uint_t nbins)
{
uint_t cur = 0;
uint_t run = 0;
for (cur = 0; cur < nbins; cur++) {
for (run = cur + 1; run < nbins; run++) {
if (candidates[run]->ene > candidates[cur]->ene)
CAND_SWAP (candidates[run], candidates[cur]);
}
}
}
void
aubio_pitchmcomb_sort_cand_freq (aubio_spectralcandidate_t ** candidates,
uint_t nbins)
{
uint_t cur = 0;
uint_t run = 0;
for (cur = 0; cur < nbins; cur++) {
for (run = cur + 1; run < nbins; run++) {
if (candidates[run]->ebin < candidates[cur]->ebin)
CAND_SWAP (candidates[run], candidates[cur]);
}
}
}
aubio_pitchmcomb_t *
new_aubio_pitchmcomb (uint_t bufsize, uint_t hopsize)
{
aubio_pitchmcomb_t *p = AUBIO_NEW (aubio_pitchmcomb_t);
/* bug: should check if size / 8 > post+pre+1 */
uint_t i, j;
uint_t spec_size;
p->spec_partition = 2;
p->ncand = 5;
p->npartials = 5;
p->cutoff = 1.;
p->threshold = 0.01;
p->win_post = 8;
p->win_pre = 7;
// p->tau = samplerate/bufsize;
p->alpha = 9.;
p->goodcandidate = 0;
p->phasefreq = bufsize / hopsize / TWO_PI;
p->phasediff = TWO_PI * hopsize / bufsize;
spec_size = bufsize / p->spec_partition + 1;
//p->pickerfn = quadpick;
//p->biquad = new_biquad(0.1600,0.3200,0.1600, -0.5949, 0.2348);
/* allocate temp memory */
p->newmag = new_fvec (spec_size);
/* array for median */
p->scratch = new_fvec (spec_size);
/* array for phase */
p->theta = new_fvec (spec_size);
/* array for adaptative threshold */
p->scratch2 = new_fvec (p->win_post + p->win_pre + 1);
/* array of spectral peaks */
p->peaks = AUBIO_ARRAY (aubio_spectralpeak_t, spec_size);
for (i = 0; i < spec_size; i++) {
p->peaks[i].bin = 0.;
p->peaks[i].ebin = 0.;
p->peaks[i].mag = 0.;
}
/* array of pointers to spectral candidates */
p->candidates = AUBIO_ARRAY (aubio_spectralcandidate_t *, p->ncand);
for (i = 0; i < p->ncand; i++) {
p->candidates[i] = AUBIO_NEW (aubio_spectralcandidate_t);
p->candidates[i]->ecomb = AUBIO_ARRAY (smpl_t, spec_size);
for (j = 0; j < spec_size; j++) {
p->candidates[i]->ecomb[j] = 0.;
}
p->candidates[i]->ene = 0.;
p->candidates[i]->ebin = 0.;
p->candidates[i]->len = 0.;
}
return p;
}
void
del_aubio_pitchmcomb (aubio_pitchmcomb_t * p)
{
uint_t i;
del_fvec (p->newmag);
del_fvec (p->scratch);
del_fvec (p->theta);
del_fvec (p->scratch2);
AUBIO_FREE (p->peaks);
for (i = 0; i < p->ncand; i++) {
AUBIO_FREE (p->candidates[i]->ecomb);
AUBIO_FREE (p->candidates[i]);
}
AUBIO_FREE (p->candidates);
AUBIO_FREE (p);
}