ref: 6ba69782fca5fa8ad528c65e7e99bd48b1fe5afb
dir: /libcelt/vq.c/
/* (C) 2007 Jean-Marc Valin, CSIRO
*/
/*
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.
- Neither the name of the Xiph.org Foundation nor the names of its
contributors may be used to endorse or promote products derived from
this software without specific prior written permission.
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 <math.h>
#include <stdlib.h>
#include "mathops.h"
#include "cwrs.h"
#include "vq.h"
#include "arch.h"
#include "os_support.h"
/* Enable this or define your own implementation if you want to speed up the
VQ search (used in inner loop only) */
#if 0
#include <xmmintrin.h>
static inline float approx_sqrt(float x)
{
_mm_store_ss(&x, _mm_sqrt_ss(_mm_set_ss(x)));
return x;
}
static inline float approx_inv(float x)
{
_mm_store_ss(&x, _mm_rcp_ss(_mm_set_ss(x)));
return x;
}
#else
#define approx_sqrt(x) (sqrt(x))
#define approx_inv(x) (1.f/(x))
#endif
#ifdef FIXED_POINT
#else
#define celt_sqrt sqrt
#endif
/** Takes the pitch vector and the decoded residual vector (non-compressed),
applies the compression in the pitch direction, computes the gain that will
give ||p+g*y||=1 and mixes the residual with the pitch. */
static void mix_pitch_and_residual(int *iy, celt_norm_t *X, int N, int K, celt_norm_t *P, celt_word16_t alpha)
{
int i;
celt_word32_t Ryp, Ryy, Rpp;
celt_word32_t g;
VARDECL(celt_norm_t *y);
#ifdef FIXED_POINT
int yshift = 14-EC_ILOG(K);
#endif
ALLOC(y, N, celt_norm_t);
/*for (i=0;i<N;i++)
printf ("%d ", iy[i]);*/
Rpp = 0;
for (i=0;i<N;i++)
Rpp = MAC16_16(Rpp,P[i],P[i]);
Ryp = 0;
for (i=0;i<N;i++)
Ryp = MAC16_16(Ryp,SHL16(iy[i],yshift),P[i]);
/* Remove part of the pitch component to compute the real residual from
the encoded (int) one */
for (i=0;i<N;i++)
y[i] = SUB16(SHL16(iy[i],yshift),
MULT16_16_Q15(alpha,MULT16_16_Q14(EXTRACT16(SHR32(Ryp,14)),P[i])));
/* Recompute after the projection (I think it's right) */
Ryp = 0;
for (i=0;i<N;i++)
Ryp = MAC16_16(Ryp,y[i],P[i]);
Ryy = 0;
for (i=0;i<N;i++)
Ryy = MAC16_16(Ryy, y[i],y[i]);
/* g = (sqrt(Ryp^2 + Ryy - Rpp*Ryy)-Ryp)/Ryy */
g = DIV32(SHL32(celt_sqrt(MULT16_16(PSHR32(Ryp,14),PSHR32(Ryp,14)) + Ryy - MULT16_16(PSHR32(Ryy,14),PSHR32(Rpp,14))) - PSHR32(Ryp,14),14),PSHR32(Ryy,14));
for (i=0;i<N;i++)
X[i] = P[i] + MULT16_32_Q14(y[i], g);
}
/** All the info necessary to keep track of a hypothesis during the search */
struct NBest {
float score;
float gain;
int sign;
int pos;
int orig;
float xy;
float yy;
float yp;
};
void alg_quant(celt_norm_t *X, celt_mask_t *W, int N, int K, celt_norm_t *P, celt_word16_t alpha, ec_enc *enc)
{
int L = 3;
VARDECL(float *x);
VARDECL(float *p);
VARDECL(float *_y);
VARDECL(float *_ny);
VARDECL(int *_iy);
VARDECL(int *_iny);
VARDECL(float **y);
VARDECL(float **ny);
VARDECL(int **iy);
VARDECL(int **iny);
int i, j, k, m;
int pulsesLeft;
VARDECL(float *xy);
VARDECL(float *yy);
VARDECL(float *yp);
VARDECL(struct NBest *_nbest);
VARDECL(struct NBest **nbest);
float Rpp=0, Rxp=0;
int maxL = 1;
float _alpha = Q15_ONE_1*alpha;
ALLOC(x, N, float);
ALLOC(p, N, float);
ALLOC(_y, L*N, float);
ALLOC(_ny, L*N, float);
ALLOC(_iy, L*N, int);
ALLOC(_iny, L*N, int);
ALLOC(y, L*N, float*);
ALLOC(ny, L*N, float*);
ALLOC(iy, L*N, int*);
ALLOC(iny, L*N, int*);
ALLOC(xy, L, float);
ALLOC(yy, L, float);
ALLOC(yp, L, float);
ALLOC(_nbest, L, struct NBest);
ALLOC(nbest, L, struct NBest *);
for (j=0;j<N;j++)
{
x[j] = X[j]*NORM_SCALING_1;
p[j] = P[j]*NORM_SCALING_1;
}
for (m=0;m<L;m++)
nbest[m] = &_nbest[m];
for (m=0;m<L;m++)
{
ny[m] = &_ny[m*N];
iny[m] = &_iny[m*N];
y[m] = &_y[m*N];
iy[m] = &_iy[m*N];
}
for (j=0;j<N;j++)
{
Rpp += p[j]*p[j];
Rxp += x[j]*p[j];
}
if (Rpp>1)
celt_fatal("Rpp > 1");
/* We only need to initialise the zero because the first iteration only uses that */
for (i=0;i<N;i++)
y[0][i] = 0;
for (i=0;i<N;i++)
iy[0][i] = 0;
xy[0] = yy[0] = yp[0] = 0;
pulsesLeft = K;
while (pulsesLeft > 0)
{
int pulsesAtOnce=1;
int Lupdate = L;
int L2 = L;
/* Decide on complexity strategy */
pulsesAtOnce = pulsesLeft/N;
if (pulsesAtOnce<1)
pulsesAtOnce = 1;
if (pulsesLeft-pulsesAtOnce > 3 || N > 30)
Lupdate = 1;
/*printf ("%d %d %d/%d %d\n", Lupdate, pulsesAtOnce, pulsesLeft, K, N);*/
L2 = Lupdate;
if (L2>maxL)
{
L2 = maxL;
maxL *= N;
}
for (m=0;m<Lupdate;m++)
nbest[m]->score = -1e10f;
for (m=0;m<L2;m++)
{
for (j=0;j<N;j++)
{
int sign;
/*if (x[j]>0) sign=1; else sign=-1;*/
for (sign=-1;sign<=1;sign+=2)
{
/*fprintf (stderr, "%d/%d %d/%d %d/%d\n", i, K, m, L2, j, N);*/
float tmp_xy, tmp_yy, tmp_yp;
float score;
float g;
float s = sign*pulsesAtOnce;
/* All pulses at one location must have the same sign. */
if (iy[m][j]*sign < 0)
continue;
/* Updating the sums of the new pulse(s) */
tmp_xy = xy[m] + s*x[j] - _alpha*s*p[j]*Rxp;
tmp_yy = yy[m] + 2.f*s*y[m][j] + s*s +s*s*_alpha*_alpha*p[j]*p[j]*Rpp - 2.f*_alpha*s*p[j]*yp[m] - 2.f*s*s*_alpha*p[j]*p[j];
tmp_yp = yp[m] + s*p[j] *(1.f-_alpha*Rpp);
/* Compute the gain such that ||p + g*y|| = 1 */
g = (approx_sqrt(tmp_yp*tmp_yp + tmp_yy - tmp_yy*Rpp) - tmp_yp)*approx_inv(tmp_yy);
/* Knowing that gain, what the error: (x-g*y)^2
(result is negated and we discard x^2 because it's constant) */
score = 2.f*g*tmp_xy - g*g*tmp_yy;
if (score>nbest[Lupdate-1]->score)
{
int k;
int id = Lupdate-1;
struct NBest *tmp_best;
/* Save some pointers that would be deleted and use them for the current entry*/
tmp_best = nbest[Lupdate-1];
while (id > 0 && score > nbest[id-1]->score)
id--;
for (k=Lupdate-1;k>id;k--)
nbest[k] = nbest[k-1];
nbest[id] = tmp_best;
nbest[id]->score = score;
nbest[id]->pos = j;
nbest[id]->orig = m;
nbest[id]->sign = sign;
nbest[id]->gain = g;
nbest[id]->xy = tmp_xy;
nbest[id]->yy = tmp_yy;
nbest[id]->yp = tmp_yp;
}
}
}
}
if (!(nbest[0]->score > -1e10f))
celt_fatal("Could not find any match in VQ codebook. Something got corrupted somewhere.");
/* Only now that we've made the final choice, update ny/iny and others */
for (k=0;k<Lupdate;k++)
{
int n;
int is;
float s;
is = nbest[k]->sign*pulsesAtOnce;
s = is;
for (n=0;n<N;n++)
ny[k][n] = y[nbest[k]->orig][n] - _alpha*s*p[nbest[k]->pos]*p[n];
ny[k][nbest[k]->pos] += s;
for (n=0;n<N;n++)
iny[k][n] = iy[nbest[k]->orig][n];
iny[k][nbest[k]->pos] += is;
xy[k] = nbest[k]->xy;
yy[k] = nbest[k]->yy;
yp[k] = nbest[k]->yp;
}
/* Swap ny/iny with y/iy */
for (k=0;k<Lupdate;k++)
{
float *tmp_ny;
int *tmp_iny;
tmp_ny = ny[k];
ny[k] = y[k];
y[k] = tmp_ny;
tmp_iny = iny[k];
iny[k] = iy[k];
iy[k] = tmp_iny;
}
pulsesLeft -= pulsesAtOnce;
}
#if 0
if (0) {
float err=0;
for (i=0;i<N;i++)
err += (x[i]-nbest[0]->gain*y[0][i])*(x[i]-nbest[0]->gain*y[0][i]);
/*if (N<=10)
printf ("%f %d %d\n", err, K, N);*/
}
/* Sanity checks, don't bother */
if (0) {
for (i=0;i<N;i++)
x[i] = p[i]+nbest[0]->gain*y[0][i];
float E=1e-15;
int ABS = 0;
for (i=0;i<N;i++)
ABS += abs(iy[0][i]);
/*if (K != ABS)
printf ("%d %d\n", K, ABS);*/
for (i=0;i<N;i++)
E += x[i]*x[i];
/*printf ("%f\n", E);*/
E = 1/sqrt(E);
for (i=0;i<N;i++)
x[i] *= E;
}
#endif
encode_pulses(iy[0], N, K, enc);
/* Recompute the gain in one pass to reduce the encoder-decoder mismatch
due to the recursive computation used in quantisation.
Not quite sure whether we need that or not */
mix_pitch_and_residual(iy[0], X, N, K, P, alpha);
}
/** Decode pulse vector and combine the result with the pitch vector to produce
the final normalised signal in the current band. */
void alg_unquant(celt_norm_t *X, int N, int K, celt_norm_t *P, celt_word16_t alpha, ec_dec *dec)
{
VARDECL(int *iy);
ALLOC(iy, N, int);
decode_pulses(iy, N, K, dec);
mix_pitch_and_residual(iy, X, N, K, P, alpha);
}
static const float pg[11] = {1.f, .75f, .65f, 0.6f, 0.6f, .6f, .55f, .55f, .5f, .5f, .5f};
void intra_prediction(celt_norm_t *x, celt_mask_t *W, int N, int K, celt_norm_t *Y, celt_norm_t *P, int B, int N0, ec_enc *enc)
{
int i,j;
int best=0;
float best_score=0;
float s = 1;
int sign;
float E;
float pred_gain;
int max_pos = N0-N/B;
if (max_pos > 32)
max_pos = 32;
for (i=0;i<max_pos*B;i+=B)
{
int j;
float xy=0, yy=0;
float score;
for (j=0;j<N;j++)
{
xy += 1.f*x[j]*Y[i+N-j-1];
yy += 1.f*Y[i+N-j-1]*Y[i+N-j-1];
}
score = xy*xy/(.001+yy);
if (score > best_score)
{
best_score = score;
best = i;
if (xy>0)
s = 1;
else
s = -1;
}
}
if (s<0)
sign = 1;
else
sign = 0;
/*printf ("%d %d ", sign, best);*/
ec_enc_uint(enc,sign,2);
ec_enc_uint(enc,best/B,max_pos);
/*printf ("%d %f\n", best, best_score);*/
if (K>10)
pred_gain = pg[10];
else
pred_gain = pg[K];
E = 1e-10;
for (j=0;j<N;j++)
{
P[j] = s*Y[best+N-j-1];
E += NORM_SCALING_1*NORM_SCALING_1*P[j]*P[j];
}
E = pred_gain/sqrt(E);
for (j=0;j<N;j++)
P[j] *= E;
if (K>0)
{
for (j=0;j<N;j++)
x[j] -= P[j];
} else {
for (j=0;j<N;j++)
x[j] = P[j];
}
/*printf ("quant ");*/
/*for (j=0;j<N;j++) printf ("%f ", P[j]);*/
}
void intra_unquant(celt_norm_t *x, int N, int K, celt_norm_t *Y, celt_norm_t *P, int B, int N0, ec_dec *dec)
{
int j;
int sign;
float s;
int best;
float E;
float pred_gain;
int max_pos = N0-N/B;
if (max_pos > 32)
max_pos = 32;
sign = ec_dec_uint(dec, 2);
if (sign == 0)
s = 1;
else
s = -1;
best = B*ec_dec_uint(dec, max_pos);
/*printf ("%d %d ", sign, best);*/
if (K>10)
pred_gain = pg[10];
else
pred_gain = pg[K];
E = 1e-10;
for (j=0;j<N;j++)
{
P[j] = s*Y[best+N-j-1];
E += NORM_SCALING_1*NORM_SCALING_1*P[j]*P[j];
}
E = pred_gain/sqrt(E);
for (j=0;j<N;j++)
P[j] *= E;
if (K==0)
{
for (j=0;j<N;j++)
x[j] = P[j];
}
}
void intra_fold(celt_norm_t *x, int N, celt_norm_t *Y, celt_norm_t *P, int B, int N0, int Nmax)
{
int i, j;
float E;
E = 1e-10;
if (N0 >= Nmax/2)
{
for (i=0;i<B;i++)
{
for (j=0;j<N/B;j++)
{
P[j*B+i] = Y[(Nmax-N0-j-1)*B+i];
E += NORM_SCALING_1*NORM_SCALING_1*P[j*B+i]*P[j*B+i];
}
}
} else {
for (j=0;j<N;j++)
{
P[j] = Y[j];
E += NORM_SCALING_1*NORM_SCALING_1*P[j]*P[j];
}
}
E = 1.f/sqrt(E);
for (j=0;j<N;j++)
P[j] *= E;
for (j=0;j<N;j++)
x[j] = P[j];
}