ref: 32c4a0c96e239bee7623aef8ae592a5c7f7ec753
dir: /src/analysis.c/
/* Copyright (c) 2011 Xiph.Org Foundation
Written by Jean-Marc Valin */
/*
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
- Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
- Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR
CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifdef HAVE_CONFIG_H
#include "config.h"
#endif
#include "kiss_fft.h"
#include "celt.h"
#include "modes.h"
#include "arch.h"
#include "quant_bands.h"
#include <stdio.h>
#include "analysis.h"
#include "mlp.h"
extern const MLP net;
#ifndef M_PI
#define M_PI 3.141592653
#endif
static const float dct_table[128] = {
0.250000f, 0.250000f, 0.250000f, 0.250000f, 0.250000f, 0.250000f, 0.250000f, 0.250000f,
0.250000f, 0.250000f, 0.250000f, 0.250000f, 0.250000f, 0.250000f, 0.250000f, 0.250000f,
0.351851f, 0.338330f, 0.311806f, 0.273300f, 0.224292f, 0.166664f, 0.102631f, 0.034654f,
-0.034654f,-0.102631f,-0.166664f,-0.224292f,-0.273300f,-0.311806f,-0.338330f,-0.351851f,
0.346760f, 0.293969f, 0.196424f, 0.068975f,-0.068975f,-0.196424f,-0.293969f,-0.346760f,
-0.346760f,-0.293969f,-0.196424f,-0.068975f, 0.068975f, 0.196424f, 0.293969f, 0.346760f,
0.338330f, 0.224292f, 0.034654f,-0.166664f,-0.311806f,-0.351851f,-0.273300f,-0.102631f,
0.102631f, 0.273300f, 0.351851f, 0.311806f, 0.166664f,-0.034654f,-0.224292f,-0.338330f,
0.326641f, 0.135299f,-0.135299f,-0.326641f,-0.326641f,-0.135299f, 0.135299f, 0.326641f,
0.326641f, 0.135299f,-0.135299f,-0.326641f,-0.326641f,-0.135299f, 0.135299f, 0.326641f,
0.311806f, 0.034654f,-0.273300f,-0.338330f,-0.102631f, 0.224292f, 0.351851f, 0.166664f,
-0.166664f,-0.351851f,-0.224292f, 0.102631f, 0.338330f, 0.273300f,-0.034654f,-0.311806f,
0.293969f,-0.068975f,-0.346760f,-0.196424f, 0.196424f, 0.346760f, 0.068975f,-0.293969f,
-0.293969f, 0.068975f, 0.346760f, 0.196424f,-0.196424f,-0.346760f,-0.068975f, 0.293969f,
0.273300f,-0.166664f,-0.338330f, 0.034654f, 0.351851f, 0.102631f,-0.311806f,-0.224292f,
0.224292f, 0.311806f,-0.102631f,-0.351851f,-0.034654f, 0.338330f, 0.166664f,-0.273300f,
};
static const float analysis_window[240] = {
0.000043f, 0.000171f, 0.000385f, 0.000685f, 0.001071f, 0.001541f, 0.002098f, 0.002739f,
0.003466f, 0.004278f, 0.005174f, 0.006156f, 0.007222f, 0.008373f, 0.009607f, 0.010926f,
0.012329f, 0.013815f, 0.015385f, 0.017037f, 0.018772f, 0.020590f, 0.022490f, 0.024472f,
0.026535f, 0.028679f, 0.030904f, 0.033210f, 0.035595f, 0.038060f, 0.040604f, 0.043227f,
0.045928f, 0.048707f, 0.051564f, 0.054497f, 0.057506f, 0.060591f, 0.063752f, 0.066987f,
0.070297f, 0.073680f, 0.077136f, 0.080665f, 0.084265f, 0.087937f, 0.091679f, 0.095492f,
0.099373f, 0.103323f, 0.107342f, 0.111427f, 0.115579f, 0.119797f, 0.124080f, 0.128428f,
0.132839f, 0.137313f, 0.141849f, 0.146447f, 0.151105f, 0.155823f, 0.160600f, 0.165435f,
0.170327f, 0.175276f, 0.180280f, 0.185340f, 0.190453f, 0.195619f, 0.200838f, 0.206107f,
0.211427f, 0.216797f, 0.222215f, 0.227680f, 0.233193f, 0.238751f, 0.244353f, 0.250000f,
0.255689f, 0.261421f, 0.267193f, 0.273005f, 0.278856f, 0.284744f, 0.290670f, 0.296632f,
0.302628f, 0.308658f, 0.314721f, 0.320816f, 0.326941f, 0.333097f, 0.339280f, 0.345492f,
0.351729f, 0.357992f, 0.364280f, 0.370590f, 0.376923f, 0.383277f, 0.389651f, 0.396044f,
0.402455f, 0.408882f, 0.415325f, 0.421783f, 0.428254f, 0.434737f, 0.441231f, 0.447736f,
0.454249f, 0.460770f, 0.467298f, 0.473832f, 0.480370f, 0.486912f, 0.493455f, 0.500000f,
0.506545f, 0.513088f, 0.519630f, 0.526168f, 0.532702f, 0.539230f, 0.545751f, 0.552264f,
0.558769f, 0.565263f, 0.571746f, 0.578217f, 0.584675f, 0.591118f, 0.597545f, 0.603956f,
0.610349f, 0.616723f, 0.623077f, 0.629410f, 0.635720f, 0.642008f, 0.648271f, 0.654508f,
0.660720f, 0.666903f, 0.673059f, 0.679184f, 0.685279f, 0.691342f, 0.697372f, 0.703368f,
0.709330f, 0.715256f, 0.721144f, 0.726995f, 0.732807f, 0.738579f, 0.744311f, 0.750000f,
0.755647f, 0.761249f, 0.766807f, 0.772320f, 0.777785f, 0.783203f, 0.788573f, 0.793893f,
0.799162f, 0.804381f, 0.809547f, 0.814660f, 0.819720f, 0.824724f, 0.829673f, 0.834565f,
0.839400f, 0.844177f, 0.848895f, 0.853553f, 0.858151f, 0.862687f, 0.867161f, 0.871572f,
0.875920f, 0.880203f, 0.884421f, 0.888573f, 0.892658f, 0.896677f, 0.900627f, 0.904508f,
0.908321f, 0.912063f, 0.915735f, 0.919335f, 0.922864f, 0.926320f, 0.929703f, 0.933013f,
0.936248f, 0.939409f, 0.942494f, 0.945503f, 0.948436f, 0.951293f, 0.954072f, 0.956773f,
0.959396f, 0.961940f, 0.964405f, 0.966790f, 0.969096f, 0.971321f, 0.973465f, 0.975528f,
0.977510f, 0.979410f, 0.981228f, 0.982963f, 0.984615f, 0.986185f, 0.987671f, 0.989074f,
0.990393f, 0.991627f, 0.992778f, 0.993844f, 0.994826f, 0.995722f, 0.996534f, 0.997261f,
0.997902f, 0.998459f, 0.998929f, 0.999315f, 0.999615f, 0.999829f, 0.999957f, 1.000000f,
};
static const int tbands[NB_TBANDS+1] = {
2, 4, 6, 8, 10, 12, 14, 16, 20, 24, 28, 32, 40, 48, 56, 68, 80, 96, 120
};
static const int extra_bands[NB_TOT_BANDS+1] = {
0, 2, 4, 6, 8, 10, 12, 14, 16, 20, 24, 28, 32, 40, 48, 56, 68, 80, 96, 120, 160, 200
};
/*static const float tweight[NB_TBANDS+1] = {
.3, .4, .5, .6, .7, .8, .9, 1., 1., 1., 1., 1., 1., 1., .8, .7, .6, .5
};*/
#define NB_TONAL_SKIP_BANDS 9
#define cA 0.43157974f
#define cB 0.67848403f
#define cC 0.08595542f
#define cE ((float)M_PI/2)
static inline float fast_atan2f(float y, float x) {
float x2, y2;
/* Should avoid underflow on the values we'll get */
if (ABS16(x)+ABS16(y)<1e-9f)
{
x*=1e12f;
y*=1e12f;
}
x2 = x*x;
y2 = y*y;
if(x2<y2){
float den = (y2 + cB*x2) * (y2 + cC*x2);
if (den!=0)
return -x*y*(y2 + cA*x2) / den + (y<0 ? -cE : cE);
else
return (y<0 ? -cE : cE);
}else{
float den = (x2 + cB*y2) * (x2 + cC*y2);
if (den!=0)
return x*y*(x2 + cA*y2) / den + (y<0 ? -cE : cE) - (x*y<0 ? -cE : cE);
else
return (y<0 ? -cE : cE) - (x*y<0 ? -cE : cE);
}
}
void tonality_analysis(TonalityAnalysisState *tonal, AnalysisInfo *info, CELTEncoder *celt_enc, const opus_val16 *x, int C, int lsb_depth)
{
int i, b;
const CELTMode *mode;
const kiss_fft_state *kfft;
kiss_fft_cpx in[480], out[480];
int N = 480, N2=240;
float * OPUS_RESTRICT A = tonal->angle;
float * OPUS_RESTRICT dA = tonal->d_angle;
float * OPUS_RESTRICT d2A = tonal->d2_angle;
float tonality[240];
float noisiness[240];
float band_tonality[NB_TBANDS];
float logE[NB_TBANDS];
float BFCC[8];
float features[100];
float frame_tonality;
float max_frame_tonality;
/*float tw_sum=0;*/
float frame_noisiness;
const float pi4 = (float)(M_PI*M_PI*M_PI*M_PI);
float slope=0;
float frame_stationarity;
float relativeE;
float frame_prob;
float alpha, alphaE, alphaE2;
float frame_loudness;
float bandwidth_mask;
int bandwidth=0;
float maxE = 0;
float noise_floor;
celt_encoder_ctl(celt_enc, CELT_GET_MODE(&mode));
tonal->last_transition++;
alpha = 1.f/IMIN(20, 1+tonal->count);
alphaE = 1.f/IMIN(50, 1+tonal->count);
alphaE2 = 1.f/IMIN(6000, 1+tonal->count);
if (tonal->count<4)
tonal->music_prob = .5;
kfft = mode->mdct.kfft[0];
if (C==1)
{
for (i=0;i<N2;i++)
{
float w = analysis_window[i];
in[i].r = MULT16_16(w, x[i]);
in[i].i = MULT16_16(w, x[N-N2+i]);
in[N-i-1].r = MULT16_16(w, x[N-i-1]);
in[N-i-1].i = MULT16_16(w, x[2*N-N2-i-1]);
}
} else {
for (i=0;i<N2;i++)
{
float w = analysis_window[i];
in[i].r = MULT16_16(w, x[2*i]+x[2*i+1]);
in[i].i = MULT16_16(w, x[2*(N-N2+i)]+x[2*(N-N2+i)+1]);
in[N-i-1].r = MULT16_16(w, x[2*(N-i-1)]+x[2*(N-i-1)+1]);
in[N-i-1].i = MULT16_16(w, x[2*(2*N-N2-i-1)]+x[2*(2*N-N2-i-1)+1]);
}
}
opus_fft(kfft, in, out);
for (i=1;i<N2;i++)
{
float X1r, X2r, X1i, X2i;
float angle, d_angle, d2_angle;
float angle2, d_angle2, d2_angle2;
float mod1, mod2, avg_mod;
X1r = out[i].r+out[N-i].r;
X1i = out[i].i-out[N-i].i;
X2r = out[i].i+out[N-i].i;
X2i = out[N-i].r-out[i].r;
angle = (float)(.5f/M_PI)*fast_atan2f(X1i, X1r);
d_angle = angle - A[i];
d2_angle = d_angle - dA[i];
angle2 = (float)(.5f/M_PI)*fast_atan2f(X2i, X2r);
d_angle2 = angle2 - angle;
d2_angle2 = d_angle2 - d_angle;
mod1 = d2_angle - (float)floor(.5+d2_angle);
noisiness[i] = ABS16(mod1);
mod1 *= mod1;
mod1 *= mod1;
mod2 = d2_angle2 - (float)floor(.5+d2_angle2);
noisiness[i] += ABS16(mod2);
mod2 *= mod2;
mod2 *= mod2;
avg_mod = .25f*(d2A[i]+2.f*mod1+mod2);
tonality[i] = 1.f/(1.f+40.f*16.f*pi4*avg_mod)-.015f;
A[i] = angle2;
dA[i] = d_angle2;
d2A[i] = mod2;
}
frame_tonality = 0;
max_frame_tonality = 0;
/*tw_sum = 0;*/
info->activity = 0;
frame_noisiness = 0;
frame_stationarity = 0;
if (!tonal->count)
{
for (b=0;b<NB_TBANDS;b++)
{
tonal->lowE[b] = 1e10;
tonal->highE[b] = -1e10;
}
}
relativeE = 0;
frame_loudness = 0;
bandwidth_mask = 0;
for (b=0;b<NB_TBANDS;b++)
{
float E=0, tE=0, nE=0;
float L1, L2;
float stationarity;
for (i=tbands[b];i<tbands[b+1];i++)
{
float binE = out[i].r*out[i].r + out[N-i].r*out[N-i].r
+ out[i].i*out[i].i + out[N-i].i*out[N-i].i;
E += binE;
tE += binE*tonality[i];
nE += binE*2.f*(.5f-noisiness[i]);
}
tonal->E[tonal->E_count][b] = E;
frame_noisiness += nE/(1e-15f+E);
frame_loudness += celt_sqrt(E+1e-10f);
logE[b] = (float)log(E+1e-10f);
tonal->lowE[b] = MIN32(logE[b], tonal->lowE[b]+.01f);
tonal->highE[b] = MAX32(logE[b], tonal->highE[b]-.1f);
if (tonal->highE[b] < tonal->lowE[b]+1.f)
{
tonal->highE[b]+=.5f;
tonal->lowE[b]-=.5f;
}
relativeE += (logE[b]-tonal->lowE[b])/(EPSILON+tonal->highE[b]-tonal->lowE[b]);
L1=L2=0;
for (i=0;i<NB_FRAMES;i++)
{
L1 += celt_sqrt(tonal->E[i][b]);
L2 += tonal->E[i][b];
}
stationarity = MIN16(0.99f,L1/celt_sqrt(EPSILON+NB_FRAMES*L2));
stationarity *= stationarity;
stationarity *= stationarity;
frame_stationarity += stationarity;
/*band_tonality[b] = tE/(1e-15+E)*/;
band_tonality[b] = MAX16(tE/(EPSILON+E), stationarity*tonal->prev_band_tonality[b]);
#if 0
if (b>=NB_TONAL_SKIP_BANDS)
{
frame_tonality += tweight[b]*band_tonality[b];
tw_sum += tweight[b];
}
#else
frame_tonality += band_tonality[b];
if (b>=NB_TBANDS-NB_TONAL_SKIP_BANDS)
frame_tonality -= band_tonality[b-NB_TBANDS+NB_TONAL_SKIP_BANDS];
#endif
max_frame_tonality = MAX16(max_frame_tonality, (1.f+.03f*(b-NB_TBANDS))*frame_tonality);
slope += band_tonality[b]*(b-8);
/*printf("%f %f ", band_tonality[b], stationarity);*/
tonal->prev_band_tonality[b] = band_tonality[b];
}
bandwidth_mask = 0;
bandwidth = 0;
for (b=0;b<NB_TOT_BANDS;b++)
maxE = MAX32(maxE, tonal->meanE[b]);
noise_floor = 5.7e-4f/(1<<(IMAX(0,lsb_depth-8)));
noise_floor *= noise_floor;
for (b=0;b<NB_TOT_BANDS;b++)
{
float E=0;
int band_start, band_end;
/* Keep a margin of 300 Hz for aliasing */
band_start = extra_bands[b]+3;
band_end = extra_bands[b+1]+3;
for (i=band_start;i<band_end;i++)
{
float binE = out[i].r*out[i].r + out[N-i].r*out[N-i].r
+ out[i].i*out[i].i + out[N-i].i*out[N-i].i;
E += binE;
}
E /= (band_end-band_start);
maxE = MAX32(maxE, E);
if (tonal->count>2)
{
tonal->meanE[b] = (1-alphaE2)*tonal->meanE[b] + alphaE2*E;
} else {
tonal->meanE[b] = E;
}
E = MAX32(E, tonal->meanE[b]);
/* 13 dB slope for spreading function */
bandwidth_mask = MAX32(.05f*bandwidth_mask, E);
/* Checks if band looks like stationary noise or if it's below a (trivial) masking curve */
if (E>.1*bandwidth_mask && E*1e10f > maxE && E > noise_floor)
bandwidth = b;
}
if (tonal->count<=2)
bandwidth = 20;
frame_loudness = 20*(float)log10(frame_loudness);
tonal->Etracker = MAX32(tonal->Etracker-.03f, frame_loudness);
tonal->lowECount *= (1-alphaE);
if (frame_loudness < tonal->Etracker-30)
tonal->lowECount += alphaE;
for (i=0;i<8;i++)
{
float sum=0;
for (b=0;b<16;b++)
sum += dct_table[i*16+b]*logE[b];
BFCC[i] = sum;
}
frame_stationarity /= NB_TBANDS;
relativeE /= NB_TBANDS;
if (tonal->count<10)
relativeE = .5;
frame_noisiness /= NB_TBANDS;
#if 1
info->activity = frame_noisiness + (1-frame_noisiness)*relativeE;
#else
info->activity = .5*(1+frame_noisiness-frame_stationarity);
#endif
frame_tonality = (max_frame_tonality/(NB_TBANDS-NB_TONAL_SKIP_BANDS));
frame_tonality = MAX16(frame_tonality, tonal->prev_tonality*.8f);
tonal->prev_tonality = frame_tonality;
slope /= 8*8;
info->tonality_slope = slope;
tonal->E_count = (tonal->E_count+1)%NB_FRAMES;
tonal->count++;
info->tonality = frame_tonality;
for (i=0;i<4;i++)
features[i] = -0.12299f*(BFCC[i]+tonal->mem[i+24]) + 0.49195f*(tonal->mem[i]+tonal->mem[i+16]) + 0.69693f*tonal->mem[i+8] - 1.4349f*tonal->cmean[i];
for (i=0;i<4;i++)
tonal->cmean[i] = (1-alpha)*tonal->cmean[i] + alpha*BFCC[i];
for (i=0;i<4;i++)
features[4+i] = 0.63246f*(BFCC[i]-tonal->mem[i+24]) + 0.31623f*(tonal->mem[i]-tonal->mem[i+16]);
for (i=0;i<3;i++)
features[8+i] = 0.53452f*(BFCC[i]+tonal->mem[i+24]) - 0.26726f*(tonal->mem[i]+tonal->mem[i+16]) -0.53452f*tonal->mem[i+8];
if (tonal->count > 5)
{
for (i=0;i<9;i++)
tonal->std[i] = (1-alpha)*tonal->std[i] + alpha*features[i]*features[i];
}
for (i=0;i<8;i++)
{
tonal->mem[i+24] = tonal->mem[i+16];
tonal->mem[i+16] = tonal->mem[i+8];
tonal->mem[i+8] = tonal->mem[i];
tonal->mem[i] = BFCC[i];
}
for (i=0;i<9;i++)
features[11+i] = celt_sqrt(tonal->std[i]);
features[20] = info->tonality;
features[21] = info->activity;
features[22] = frame_stationarity;
features[23] = info->tonality_slope;
features[24] = tonal->lowECount;
#ifndef FIXED_POINT
mlp_process(&net, features, &frame_prob);
frame_prob = .5f*(frame_prob+1);
/* Curve fitting between the MLP probability and the actual probability */
frame_prob = .01f + 1.21f*frame_prob*frame_prob - .23f*(float)pow(frame_prob, 10);
/*printf("%f\n", frame_prob);*/
{
float tau, beta;
float p0, p1;
float max_certainty;
/* One transition every 3 minutes */
tau = .00005f;
beta = .1f;
max_certainty = .01f+1.f/(20.f+.5f*tonal->last_transition);
p0 = (1-tonal->music_prob)*(1-tau) + tonal->music_prob *tau;
p1 = tonal->music_prob *(1-tau) + (1-tonal->music_prob)*tau;
p0 *= (float)pow(1-frame_prob, beta);
p1 *= (float)pow(frame_prob, beta);
tonal->music_prob = MAX16(max_certainty, MIN16(1-max_certainty, p1/(p0+p1)));
info->music_prob = tonal->music_prob;
/*printf("%f %f\n", frame_prob, info->music_prob);*/
}
if (tonal->last_music != (tonal->music_prob>.5f))
tonal->last_transition=0;
tonal->last_music = tonal->music_prob>.5f;
#else
info->music_prob = 0;
#endif
/*for (i=0;i<25;i++)
printf("%f ", features[i]);
printf("\n");*/
if (bandwidth<=12 || (bandwidth==13 && tonal->opus_bandwidth == OPUS_BANDWIDTH_NARROWBAND))
tonal->opus_bandwidth = OPUS_BANDWIDTH_NARROWBAND;
else if (bandwidth<=14 || (bandwidth==15 && tonal->opus_bandwidth == OPUS_BANDWIDTH_MEDIUMBAND))
tonal->opus_bandwidth = OPUS_BANDWIDTH_MEDIUMBAND;
else if (bandwidth<=16 || (bandwidth==17 && tonal->opus_bandwidth == OPUS_BANDWIDTH_WIDEBAND))
tonal->opus_bandwidth = OPUS_BANDWIDTH_WIDEBAND;
else if (bandwidth<=18)
tonal->opus_bandwidth = OPUS_BANDWIDTH_SUPERWIDEBAND;
else
tonal->opus_bandwidth = OPUS_BANDWIDTH_FULLBAND;
info->bandwidth = bandwidth;
info->opus_bandwidth = tonal->opus_bandwidth;
/*printf("%d %d\n", info->bandwidth, info->opus_bandwidth);*/
info->noisiness = frame_noisiness;
info->valid = 1;
}