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fallback-dct.cc
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fallback-dct.cc
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/*
* H.265 video codec.
* Copyright (c) 2013-2014 struktur AG, Dirk Farin <[email protected]>
*
* This file is part of libde265.
*
* libde265 is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as
* published by the Free Software Foundation, either version 3 of
* the License, or (at your option) any later version.
*
* libde265 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 Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with libde265. If not, see <http://www.gnu.org/licenses/>.
*/
#include "fallback-dct.h"
#if defined(_MSC_VER) || defined(__MINGW32__)
# include <malloc.h>
#elif defined(HAVE_ALLOCA_H)
# include <alloca.h>
#endif
#include <assert.h>
#include <algorithm>
static void printMatrix(const char* name, const int16_t* v, int n)
{
printf("--- %s ---\n",name);
for (int r=0;r<n;r++) {
for (int c=0;c<n;c++) {
printf("%4d ",v[c+r*n]);
}
printf("\n");
}
}
void transform_skip_8_fallback(uint8_t *dst, const int16_t *coeffs, ptrdiff_t stride)
{
int nT = 4;
int bdShift2 = 20-8;
assert(0); // DEPRECATED, should not be used anymore because of fixed 4x4 size
for (int y=0;y<nT;y++)
for (int x=0;x<nT;x++) {
int32_t c = coeffs[x+y*nT] << 7;
c = (c+(1<<(bdShift2-1)))>>bdShift2;
dst[y*stride+x] = Clip1_8bit(dst[y*stride+x] + c);
}
}
void transform_skip_16_fallback(uint16_t *dst, const int16_t *coeffs, ptrdiff_t stride, int bit_depth)
{
int nT = 4;
int bdShift2 = 20-bit_depth;
assert(0); // DEPRECATED, should not be used anymore because of fixed 4x4 size
for (int y=0;y<nT;y++)
for (int x=0;x<nT;x++) {
int32_t c = coeffs[x+y*nT] << 7;
c = (c+(1<<(bdShift2-1)))>>bdShift2;
dst[y*stride+x] = Clip_BitDepth(dst[y*stride+x] + c, bit_depth);
}
}
void transform_skip_residual_fallback(int32_t *residual, const int16_t *coeffs, int nT,
int tsShift,int bdShift)
{
const int rnd = 1<<(bdShift-1);
for (int y=0;y<nT;y++)
for (int x=0;x<nT;x++) {
int32_t c = coeffs[x+y*nT] << tsShift;
residual[x+y*nT] = (c + rnd) >> bdShift;
}
}
void transform_skip_rdpcm_v_8_fallback(uint8_t *dst, const int16_t *coeffs, int log2nT, ptrdiff_t stride)
{
int bitDepth = 8;
int bdShift2 = 20-bitDepth;
int offset = (1<<(bdShift2-1));
int tsShift = 5 + log2nT; // TODO: extended_precision
int nT = 1<<log2nT;
for (int x=0;x<nT;x++) {
int32_t sum = 0;
for (int y=0;y<nT;y++) {
int c = coeffs[x+y*nT] << tsShift;
sum += (c+offset)>>bdShift2;
dst[y*stride+x] = Clip1_8bit(dst[y*stride+x] + sum);
}
}
}
void transform_skip_rdpcm_h_8_fallback(uint8_t *dst, const int16_t *coeffs, int log2nT, ptrdiff_t stride)
{
int bitDepth = 8;
int bdShift2 = 20-bitDepth;
int offset = (1<<(bdShift2-1));
int tsShift = 5 + log2nT; // TODO: extended_precision
int nT = 1<<log2nT;
for (int y=0;y<nT;y++) {
int32_t sum = 0;
for (int x=0;x<nT;x++) {
int c = coeffs[x+y*nT] << tsShift;
sum += (c+offset)>>bdShift2;
dst[y*stride+x] = Clip1_8bit(dst[y*stride+x] + sum);
}
}
}
void transform_bypass_rdpcm_v_8_fallback(uint8_t *dst, const int16_t *coeffs,int nT,ptrdiff_t stride)
{
for (int x=0;x<nT;x++) {
int32_t sum=0;
for (int y=0;y<nT;y++) {
sum += coeffs[x+y*nT];
dst[y*stride+x] = Clip1_8bit(dst[y*stride+x] + sum);
}
}
}
void transform_bypass_rdpcm_h_8_fallback(uint8_t *dst, const int16_t *coeffs,int nT,ptrdiff_t stride)
{
for (int y=0;y<nT;y++) {
int32_t sum=0;
for (int x=0;x<nT;x++) {
sum += coeffs[x+y*nT];
dst[y*stride+x] = Clip1_8bit(dst[y*stride+x] + sum);
}
}
}
void transform_bypass_rdpcm_v_fallback(int32_t *dst, const int16_t *coeffs,int nT)
{
for (int x=0;x<nT;x++) {
int32_t sum=0;
for (int y=0;y<nT;y++) {
sum += coeffs[x+y*nT];
dst[y*nT+x] = sum;
}
}
}
void transform_bypass_rdpcm_h_fallback(int32_t *dst, const int16_t *coeffs,int nT)
{
for (int y=0;y<nT;y++) {
int32_t sum=0;
for (int x=0;x<nT;x++) {
sum += coeffs[x+y*nT];
dst[y*nT+x] = sum;
}
}
}
void rdpcm_v_fallback(int32_t* residual, const int16_t* coeffs, int nT,int tsShift,int bdShift)
{
int rnd = (1<<(bdShift-1));
for (int x=0;x<nT;x++) {
int sum=0;
for (int y=0;y<nT;y++) {
int c = coeffs[x+y*nT] << tsShift;
sum += (c+rnd)>>bdShift;
residual[y*nT+x] = sum;
}
}
}
void rdpcm_h_fallback(int32_t* residual, const int16_t* coeffs, int nT,int tsShift,int bdShift)
{
int rnd = (1<<(bdShift-1));
for (int y=0;y<nT;y++) {
int sum=0;
for (int x=0;x<nT;x++) {
int c = coeffs[x+y*nT] << tsShift;
sum += (c+rnd)>>bdShift;
residual[y*nT+x] = sum;
}
}
}
void transform_bypass_fallback(int32_t *dst, const int16_t *coeffs, int nT)
{
for (int y=0;y<nT;y++)
for (int x=0;x<nT;x++) {
int32_t c = coeffs[x+y*nT];
dst[y*nT+x] = c;
}
}
void transform_bypass_8_fallback(uint8_t *dst, const int16_t *coeffs, int nT, ptrdiff_t stride)
{
for (int y=0;y<nT;y++)
for (int x=0;x<nT;x++) {
int32_t c = coeffs[x+y*nT];
dst[y*stride+x] = Clip1_8bit(dst[y*stride+x] + c);
}
}
void transform_bypass_16_fallback(uint16_t *dst, const int16_t *coeffs, int nT, ptrdiff_t stride, int bit_depth)
{
int bdShift2 = 20-bit_depth;
for (int y=0;y<nT;y++)
for (int x=0;x<nT;x++) {
int32_t c = coeffs[x+y*nT];
dst[y*stride+x] = Clip_BitDepth(dst[y*stride+x] + c, bit_depth);
}
}
void rotate_coefficients_fallback(int16_t *coeff, int nT)
{
for (int y=0;y<nT/2;y++)
for (int x=0;x<nT;x++) {
std::swap(coeff[y*nT+x], coeff[(nT-1-y)*nT + nT-1-x]);
}
}
static int8_t mat_8_357[4][4] = {
{ 29, 55, 74, 84 },
{ 74, 74, 0,-74 },
{ 84,-29,-74, 55 },
{ 55,-84, 74,-29 }
};
void transform_4x4_luma_add_8_fallback(uint8_t *dst, const int16_t *coeffs, ptrdiff_t stride)
{
int16_t g[4][4];
int postShift = 20-8; // 8 bit
int rndV = 1<<(7-1);
int rndH = 1<<(postShift-1);
// --- V ---
for (int c=0;c<4;c++) {
/*
logtrace(LogTransform,"DST-V: ");
for (int r=0;r<4;r++) {
logtrace(LogTransform,"%d ",coeffs[c+r*4]);
}
logtrace(LogTransform,"* -> ");
*/
for (int i=0;i<4;i++) {
int sum=0;
for (int j=0;j<4;j++) {
sum += mat_8_357[j][i] * coeffs[c+j*4];
}
g[i][c] = Clip3(-32768,32767, (sum+rndV)>>7);
}
/*
for (int y=0;y<4;y++) {
logtrace(LogTransform,"*%d ",g[y][c]);
}
logtrace(LogTransform,"*\n");
*/
}
// --- H ---
for (int y=0;y<4;y++) {
/*
logtrace(LogTransform,"DST-H: ");
for (int c=0;c<4;c++) {
logtrace(LogTransform,"%d ",g[y][c]);
}
logtrace(LogTransform,"* -> ");
*/
for (int i=0;i<4;i++) {
int sum=0;
for (int j=0;j<4;j++) {
sum += mat_8_357[j][i] * g[y][j];
}
int out = Clip3(-32768,32767, (sum+rndH)>>postShift);
dst[y*stride+i] = Clip1_8bit(dst[y*stride+i] + out);
logtrace(LogTransform,"*%d ",out);
}
logtrace(LogTransform,"*\n");
}
}
void transform_4x4_luma_add_16_fallback(uint16_t *dst, const int16_t *coeffs, ptrdiff_t stride,
int bit_depth)
{
int16_t g[4][4];
int postShift = 20-bit_depth;
int rndV = 1<<(7-1);
int rndH = 1<<(postShift-1);
// --- V ---
for (int c=0;c<4;c++) {
/*
logtrace(LogTransform,"DST-V: ");
for (int r=0;r<4;r++) {
logtrace(LogTransform,"%d ",coeffs[c+r*4]);
}
logtrace(LogTransform,"* -> ");
*/
for (int i=0;i<4;i++) {
int sum=0;
for (int j=0;j<4;j++) {
sum += mat_8_357[j][i] * coeffs[c+j*4];
}
g[i][c] = Clip3(-32768,32767, (sum+rndV)>>7);
}
/*
for (int y=0;y<4;y++) {
logtrace(LogTransform,"*%d ",g[y][c]);
}
logtrace(LogTransform,"*\n");
*/
}
// --- H ---
for (int y=0;y<4;y++) {
/*
logtrace(LogTransform,"DST-H: ");
for (int c=0;c<4;c++) {
logtrace(LogTransform,"%d ",g[y][c]);
}
logtrace(LogTransform,"* -> ");
*/
for (int i=0;i<4;i++) {
int sum=0;
for (int j=0;j<4;j++) {
sum += mat_8_357[j][i] * g[y][j];
}
int out = Clip3(-32768,32767, (sum+rndH)>>postShift);
dst[y*stride+i] = Clip_BitDepth(dst[y*stride+i] + out, bit_depth);
logtrace(LogTransform,"*%d ",out);
}
logtrace(LogTransform,"*\n");
}
}
void fdst_4x4_8_fallback(int16_t *coeffs, const int16_t *input, ptrdiff_t stride)
{
int16_t g[4*4];
int BD = 8;
int shift1 = Log2(4) + BD -9;
int shift2 = Log2(4) + 6;
int rnd1 = 1<<(shift1-1);
int rnd2 = 1<<(shift2-1);
// --- V ---
for (int c=0;c<4;c++) {
/*
logtrace(LogTransform,"DST-V: ");
for (int r=0;r<4;r++) {
logtrace(LogTransform,"%d ",coeffs[c+r*4]);
}
logtrace(LogTransform,"* -> ");
*/
for (int i=0;i<4;i++) {
int sum=0;
for (int j=0;j<4;j++) {
sum += mat_8_357[i][j] * input[c+j*stride];
}
g[c+4*i] = Clip3(-32768,32767, (sum+rnd1)>>shift1);
}
}
// --- H ---
for (int y=0;y<4;y++) {
for (int i=0;i<4;i++) {
int sum=0;
for (int j=0;j<4;j++) {
sum += mat_8_357[i][j] * g[y*4+j];
}
// TODO: do we need clipping ?
int out = (sum+rnd2)>>shift2; // Clip3(-32768,32767, (sum+rndH)>>postShift);
coeffs[y*4+i] = out;
logtrace(LogTransform,"*%d ",out);
}
logtrace(LogTransform,"*\n");
}
}
void transform_idst_4x4_fallback(int32_t *dst, const int16_t *coeffs, int bdShift, int max_coeff_bits)
{
int16_t g[4][4];
int rndV = 1<<(7-1);
int rndH = 1<<(bdShift-1);
int CoeffMax = (1<<max_coeff_bits)-1;
int CoeffMin = -(1<<max_coeff_bits);
// --- V ---
for (int c=0;c<4;c++) {
for (int i=0;i<4;i++) {
int sum=0;
for (int j=0;j<4;j++) {
sum += mat_8_357[j][i] * coeffs[c+j*4];
}
g[i][c] = Clip3(CoeffMin,CoeffMax, (sum+rndV)>>7);
}
}
// --- H ---
for (int y=0;y<4;y++) {
for (int i=0;i<4;i++) {
int sum=0;
for (int j=0;j<4;j++) {
sum += mat_8_357[j][i] * g[y][j];
}
dst[y*4+i] = (sum + rndH)>>bdShift;
}
}
}
static int8_t mat_dct[32][32] = {
{ 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64},
{ 90, 90, 88, 85, 82, 78, 73, 67, 61, 54, 46, 38, 31, 22, 13, 4, -4,-13,-22,-31,-38,-46,-54,-61,-67,-73,-78,-82,-85,-88,-90,-90},
{ 90, 87, 80, 70, 57, 43, 25, 9, -9,-25,-43,-57,-70,-80,-87,-90, -90,-87,-80,-70,-57,-43,-25, -9, 9, 25, 43, 57, 70, 80, 87, 90},
{ 90, 82, 67, 46, 22, -4,-31,-54,-73,-85,-90,-88,-78,-61,-38,-13, 13, 38, 61, 78, 88, 90, 85, 73, 54, 31, 4,-22,-46,-67,-82,-90},
{ 89, 75, 50, 18,-18,-50,-75,-89,-89,-75,-50,-18, 18, 50, 75, 89, 89, 75, 50, 18,-18,-50,-75,-89,-89,-75,-50,-18, 18, 50, 75, 89},
{ 88, 67, 31,-13,-54,-82,-90,-78,-46, -4, 38, 73, 90, 85, 61, 22, -22,-61,-85,-90,-73,-38, 4, 46, 78, 90, 82, 54, 13,-31,-67,-88},
{ 87, 57, 9,-43,-80,-90,-70,-25, 25, 70, 90, 80, 43, -9,-57,-87, -87,-57, -9, 43, 80, 90, 70, 25,-25,-70,-90,-80,-43, 9, 57, 87},
{ 85, 46,-13,-67,-90,-73,-22, 38, 82, 88, 54, -4,-61,-90,-78,-31, 31, 78, 90, 61, 4,-54,-88,-82,-38, 22, 73, 90, 67, 13,-46,-85},
{ 83, 36,-36,-83,-83,-36, 36, 83, 83, 36,-36,-83,-83,-36, 36, 83, 83, 36,-36,-83,-83,-36, 36, 83, 83, 36,-36,-83,-83,-36, 36, 83},
{ 82, 22,-54,-90,-61, 13, 78, 85, 31,-46,-90,-67, 4, 73, 88, 38, -38,-88,-73, -4, 67, 90, 46,-31,-85,-78,-13, 61, 90, 54,-22,-82},
{ 80, 9,-70,-87,-25, 57, 90, 43,-43,-90,-57, 25, 87, 70, -9,-80, -80, -9, 70, 87, 25,-57,-90,-43, 43, 90, 57,-25,-87,-70, 9, 80},
{ 78, -4,-82,-73, 13, 85, 67,-22,-88,-61, 31, 90, 54,-38,-90,-46, 46, 90, 38,-54,-90,-31, 61, 88, 22,-67,-85,-13, 73, 82, 4,-78},
{ 75,-18,-89,-50, 50, 89, 18,-75,-75, 18, 89, 50,-50,-89,-18, 75, 75,-18,-89,-50, 50, 89, 18,-75,-75, 18, 89, 50,-50,-89,-18, 75},
{ 73,-31,-90,-22, 78, 67,-38,-90,-13, 82, 61,-46,-88, -4, 85, 54, -54,-85, 4, 88, 46,-61,-82, 13, 90, 38,-67,-78, 22, 90, 31,-73},
{ 70,-43,-87, 9, 90, 25,-80,-57, 57, 80,-25,-90, -9, 87, 43,-70, -70, 43, 87, -9,-90,-25, 80, 57,-57,-80, 25, 90, 9,-87,-43, 70},
{ 67,-54,-78, 38, 85,-22,-90, 4, 90, 13,-88,-31, 82, 46,-73,-61, 61, 73,-46,-82, 31, 88,-13,-90, -4, 90, 22,-85,-38, 78, 54,-67},
{ 64,-64,-64, 64, 64,-64,-64, 64, 64,-64,-64, 64, 64,-64,-64, 64, 64,-64,-64, 64, 64,-64,-64, 64, 64,-64,-64, 64, 64,-64,-64, 64},
{ 61,-73,-46, 82, 31,-88,-13, 90, -4,-90, 22, 85,-38,-78, 54, 67, -67,-54, 78, 38,-85,-22, 90, 4,-90, 13, 88,-31,-82, 46, 73,-61},
{ 57,-80,-25, 90, -9,-87, 43, 70,-70,-43, 87, 9,-90, 25, 80,-57, -57, 80, 25,-90, 9, 87,-43,-70, 70, 43,-87, -9, 90,-25,-80, 57},
{ 54,-85, -4, 88,-46,-61, 82, 13,-90, 38, 67,-78,-22, 90,-31,-73, 73, 31,-90, 22, 78,-67,-38, 90,-13,-82, 61, 46,-88, 4, 85,-54},
{ 50,-89, 18, 75,-75,-18, 89,-50,-50, 89,-18,-75, 75, 18,-89, 50, 50,-89, 18, 75,-75,-18, 89,-50,-50, 89,-18,-75, 75, 18,-89, 50},
{ 46,-90, 38, 54,-90, 31, 61,-88, 22, 67,-85, 13, 73,-82, 4, 78, -78, -4, 82,-73,-13, 85,-67,-22, 88,-61,-31, 90,-54,-38, 90,-46},
{ 43,-90, 57, 25,-87, 70, 9,-80, 80, -9,-70, 87,-25,-57, 90,-43, -43, 90,-57,-25, 87,-70, -9, 80,-80, 9, 70,-87, 25, 57,-90, 43},
{ 38,-88, 73, -4,-67, 90,-46,-31, 85,-78, 13, 61,-90, 54, 22,-82, 82,-22,-54, 90,-61,-13, 78,-85, 31, 46,-90, 67, 4,-73, 88,-38},
{ 36,-83, 83,-36,-36, 83,-83, 36, 36,-83, 83,-36,-36, 83,-83, 36, 36,-83, 83,-36,-36, 83,-83, 36, 36,-83, 83,-36,-36, 83,-83, 36},
{ 31,-78, 90,-61, 4, 54,-88, 82,-38,-22, 73,-90, 67,-13,-46, 85, -85, 46, 13,-67, 90,-73, 22, 38,-82, 88,-54, -4, 61,-90, 78,-31},
{ 25,-70, 90,-80, 43, 9,-57, 87,-87, 57, -9,-43, 80,-90, 70,-25, -25, 70,-90, 80,-43, -9, 57,-87, 87,-57, 9, 43,-80, 90,-70, 25},
{ 22,-61, 85,-90, 73,-38, -4, 46,-78, 90,-82, 54,-13,-31, 67,-88, 88,-67, 31, 13,-54, 82,-90, 78,-46, 4, 38,-73, 90,-85, 61,-22},
{ 18,-50, 75,-89, 89,-75, 50,-18,-18, 50,-75, 89,-89, 75,-50, 18, 18,-50, 75,-89, 89,-75, 50,-18,-18, 50,-75, 89,-89, 75,-50, 18},
{ 13,-38, 61,-78, 88,-90, 85,-73, 54,-31, 4, 22,-46, 67,-82, 90, -90, 82,-67, 46,-22, -4, 31,-54, 73,-85, 90,-88, 78,-61, 38,-13},
{ 9,-25, 43,-57, 70,-80, 87,-90, 90,-87, 80,-70, 57,-43, 25, -9, -9, 25,-43, 57,-70, 80,-87, 90,-90, 87,-80, 70,-57, 43,-25, 9},
{ 4,-13, 22,-31, 38,-46, 54,-61, 67,-73, 78,-82, 85,-88, 90,-90, 90,-90, 88,-85, 82,-78, 73,-67, 61,-54, 46,-38, 31,-22, 13, -4}
};
template <class pixel_t>
void transform_idct_add(pixel_t *dst, ptrdiff_t stride,
int nT, const int16_t *coeffs, int bit_depth)
{
/*
The effective shift is
7 bits right for bit-depth 8,
6 bits right for bit-depth 9,
5 bits right for bit-depth 10.
Computation is independent of the block size.
Each multiplication with the table includes a left shift of 6 bits.
Hence, we have 2* 6 bits = 12 bits left shift.
V-pass has fixed 7 bit right shift.
H-pass has 20-BitDepth bit right shift;
Effective shift 's' means: residual value 1 gives DC-coeff (1<<s).
*/
int postShift = 20-bit_depth;
int rnd1 = 1<<(7-1);
int rnd2 = 1<<(postShift-1);
int fact = (1<<(5-Log2(nT)));
int16_t g[32*32]; // actually, only [nT*nT] used
// TODO: valgrind reports that dst[] contains uninitialized data.
// Probably from intra-prediction.
/*
for (int i=0;i<nT*nT;i++) {
printf("%d\n",coeffs[i]);
}
for (int y=0;y<nT;y++) {
for (int i=0;i<nT;i++) {
printf("%d ",dst[y*stride+i]);
}
}
printf("\n");
*/
/*
printf("--- input\n");
for (int r=0;r<nT;r++, printf("\n"))
for (int c=0;c<nT;c++) {
printf("%3d ",coeffs[c+r*nT]);
}
*/
for (int c=0;c<nT;c++) {
/*
logtrace(LogTransform,"DCT-V: ");
for (int i=0;i<nT;i++) {
logtrace(LogTransform,"*%d ",coeffs[c+i*nT]);
}
logtrace(LogTransform,"* -> ");
*/
// find last non-zero coefficient to reduce computations carried out in DCT
int lastCol = nT-1;
for (;lastCol>=0;lastCol--) {
if (coeffs[c+lastCol*nT]) { break; }
}
for (int i=0;i<nT;i++) {
int sum=0;
/*
printf("input: ");
for (int j=0;j<nT;j++) {
printf("%3d ",coeffs[c+j*nT]);
}
printf("\n");
printf("mat: ");
for (int j=0;j<nT;j++) {
printf("%3d ",mat_dct[fact*j][i]);
}
printf("\n");
*/
for (int j=0;j<=lastCol /*nT*/;j++) {
sum += mat_dct[fact*j][i] * coeffs[c+j*nT];
}
g[c+i*nT] = Clip3(-32768,32767, (sum+rnd1)>>7);
logtrace(LogTransform,"*%d ",g[c+i*nT]);
}
logtrace(LogTransform,"*\n");
}
/*
printf("--- temp\n");
for (int r=0;r<nT;r++, printf("\n"))
for (int c=0;c<nT;c++) {
printf("%3d ",g[c+r*nT]);
}
*/
for (int y=0;y<nT;y++) {
/*
logtrace(LogTransform,"DCT-H: ");
for (int i=0;i<nT;i++) {
logtrace(LogTransform,"*%d ",g[i+y*nT]);
}
logtrace(LogTransform,"* -> ");
*/
// find last non-zero coefficient to reduce computations carried out in DCT
int lastCol = nT-1;
for (;lastCol>=0;lastCol--) {
if (g[y*nT+lastCol]) { break; }
}
for (int i=0;i<nT;i++) {
int sum=0;
for (int j=0;j<=lastCol /*nT*/;j++) {
sum += mat_dct[fact*j][i] * g[y*nT+j];
}
//int out = Clip3(-32768,32767, (sum+rnd2)>>postShift);
int out = (sum+rnd2)>>postShift;
//fprintf(stderr,"%d*%d+%d = %d\n",y,stride,i,y*stride+i);
//fprintf(stderr,"[%p]=%d\n",&dst[y*stride+i], Clip1_8bit(dst[y*stride+i]));
dst[y*stride+i] = Clip_BitDepth(dst[y*stride+i] + out, bit_depth);
logtrace(LogTransform,"*%d ",out);
}
logtrace(LogTransform,"*\n");
}
}
void transform_idct_fallback(int32_t *dst, int nT, const int16_t *coeffs, int bdShift, int max_coeff_bits)
{
/*
The effective shift is
7 bits right for bit-depth 8,
6 bits right for bit-depth 9,
5 bits right for bit-depth 10.
One transformation with raw transform filter values increases range be 2048 (=32*64).
This equals 11 bits.
Computation is independent of the block size.
Each multiplication with the table includes a left shift of 6 bits.
Hence, we have 2* 6 bits = 12 bits left shift.
V-pass has fixed 7 bit right shift.
H-pass has 20-BitDepth bit right shift;
Effective shift 's' means: residual value 1 gives DC-coeff (1<<s).
*/
int rnd1 = 1<<(7-1);
int fact = (1<<(5-Log2(nT)));
//int bdShift = 20-bit_depth;
int rnd2 = 1<<(bdShift-1);
int16_t g[32*32]; // actually, only [nT*nT] used
int CoeffMax = (1<<max_coeff_bits)-1;
int CoeffMin = -(1<<max_coeff_bits);
// TODO: valgrind reports that dst[] contains uninitialized data.
// Probably from intra-prediction.
/*
for (int i=0;i<nT*nT;i++) {
printf("%d\n",coeffs[i]);
}
for (int y=0;y<nT;y++) {
for (int i=0;i<nT;i++) {
printf("%d ",dst[y*stride+i]);
}
}
printf("\n");
*/
/*
printf("--- input\n");
for (int r=0;r<nT;r++, printf("\n"))
for (int c=0;c<nT;c++) {
printf("%3d ",coeffs[c+r*nT]);
}
*/
for (int c=0;c<nT;c++) {
/*
logtrace(LogTransform,"DCT-V: ");
for (int i=0;i<nT;i++) {
logtrace(LogTransform,"*%d ",coeffs[c+i*nT]);
}
logtrace(LogTransform,"* -> ");
*/
// find last non-zero coefficient to reduce computations carried out in DCT
int lastCol = nT-1;
for (;lastCol>=0;lastCol--) {
if (coeffs[c+lastCol*nT]) { break; }
}
for (int i=0;i<nT;i++) {
int sum=0;
/*
printf("input: ");
for (int j=0;j<nT;j++) {
printf("%3d ",coeffs[c+j*nT]);
}
printf("\n");
printf("mat: ");
for (int j=0;j<nT;j++) {
printf("%3d ",mat_dct[fact*j][i]);
}
printf("\n");
*/
for (int j=0;j<=lastCol /*nT*/;j++) {
sum += mat_dct[fact*j][i] * coeffs[c+j*nT];
}
g[c+i*nT] = Clip3(CoeffMin,CoeffMax, (sum+rnd1)>>7);
logtrace(LogTransform,"*%d ",g[c+i*nT]);
}
logtrace(LogTransform,"*\n");
}
/*
printf("--- temp\n");
for (int r=0;r<nT;r++, printf("\n"))
for (int c=0;c<nT;c++) {
printf("%3d ",g[c+r*nT]);
}
*/
for (int y=0;y<nT;y++) {
/*
logtrace(LogTransform,"DCT-H: ");
for (int i=0;i<nT;i++) {
logtrace(LogTransform,"*%d ",g[i+y*nT]);
}
logtrace(LogTransform,"* -> ");
*/
// find last non-zero coefficient to reduce computations carried out in DCT
int lastCol = nT-1;
for (;lastCol>=0;lastCol--) {
if (g[y*nT+lastCol]) { break; }
}
for (int i=0;i<nT;i++) {
int sum=0;
for (int j=0;j<=lastCol /*nT*/;j++) {
sum += mat_dct[fact*j][i] * g[y*nT+j];
}
dst[y*nT+i] = (sum + rnd2)>>bdShift;
logtrace(LogTransform,"*%d ",sum);
}
logtrace(LogTransform,"*\n");
}
}
void transform_idct_4x4_fallback(int32_t *dst, const int16_t *coeffs, int bdShift, int max_coeff_bits)
{
transform_idct_fallback(dst,4,coeffs,bdShift,max_coeff_bits);
}
void transform_idct_8x8_fallback(int32_t *dst, const int16_t *coeffs, int bdShift, int max_coeff_bits)
{
transform_idct_fallback(dst,8,coeffs,bdShift,max_coeff_bits);
}
void transform_idct_16x16_fallback(int32_t *dst, const int16_t *coeffs,
int bdShift, int max_coeff_bits)
{
transform_idct_fallback(dst,16,coeffs,bdShift,max_coeff_bits);
}
void transform_idct_32x32_fallback(int32_t *dst, const int16_t *coeffs,
int bdShift, int max_coeff_bits)
{
transform_idct_fallback(dst,32,coeffs,bdShift,max_coeff_bits);
}
void transform_4x4_add_8_fallback(uint8_t *dst, const int16_t *coeffs, ptrdiff_t stride)
{
transform_idct_add<uint8_t>(dst,stride, 4, coeffs, 8);
}
void transform_8x8_add_8_fallback(uint8_t *dst, const int16_t *coeffs, ptrdiff_t stride)
{
transform_idct_add<uint8_t>(dst,stride, 8, coeffs, 8);
}
void transform_16x16_add_8_fallback(uint8_t *dst, const int16_t *coeffs, ptrdiff_t stride)
{
transform_idct_add<uint8_t>(dst,stride, 16, coeffs, 8);
}
void transform_32x32_add_8_fallback(uint8_t *dst, const int16_t *coeffs, ptrdiff_t stride)
{
transform_idct_add<uint8_t>(dst,stride, 32, coeffs, 8);
}
void transform_4x4_add_16_fallback(uint16_t *dst, const int16_t *coeffs, ptrdiff_t stride, int bit_depth)
{
transform_idct_add<uint16_t>(dst,stride, 4, coeffs, bit_depth);
}
void transform_8x8_add_16_fallback(uint16_t *dst, const int16_t *coeffs, ptrdiff_t stride, int bit_depth)
{
transform_idct_add<uint16_t>(dst,stride, 8, coeffs, bit_depth);
}
void transform_16x16_add_16_fallback(uint16_t *dst, const int16_t *coeffs, ptrdiff_t stride, int bit_depth)
{
transform_idct_add<uint16_t>(dst,stride, 16, coeffs, bit_depth);
}
void transform_32x32_add_16_fallback(uint16_t *dst, const int16_t *coeffs, ptrdiff_t stride, int bit_depth)
{
transform_idct_add<uint16_t>(dst,stride, 32, coeffs, bit_depth);
}
static void transform_fdct_8(int16_t* coeffs, int nT,
const int16_t *input, ptrdiff_t stride)
{
/*
Each sum over a basis vector sums nT elements, which is compensated by
shifting right by Log2(nT), effectively dividing by 2^Log2(nT) = nT.
Do this in each of the H/V passes.
Each multiplication with the table includes a left shift of 6 bits.
Hence, we have in total 2* 6 bits = 12 bits left shift because of the
multiplications.
We carry out shifts after each pass:
First (V) pass has BitDepth-9 bit right shift,
Second (H) pass has fixed 6 bit right shift.
For bit-depth 8, the total shift is 7 bits left.
For bit-depth 9, the total shift is 6 bits left.
For bit-depth 10, the total shift is 5 bits left.
I.e.: a constant residual value 1 gives DC-coeff (1<<s).
For 8-bit images in a 32x32 block, the input are 8 bits + 1 sign bit.
After the first pass, we need 9+5+6=20 bits for the intermediate sum
(9 bit input, 5 bit because we sum 2^5 elements, 6 bit because of multiplication with 64).
The first pass shift is Log2(32) - 1 -> 4 bits and we are down to 16 bits again.
After the second pass, we need 16+5+6=27 bits for the intermediate sum
(16 bit input, 5 bit because we sum 2^5 elements, 6 bit because of coefficient multiplication).
The second pass shift is Log2(32)+6 = 11 and we are down again to 16 bits.
For larger input bit-depths, the intermediate result after the first pass
will be wider accordingly, but the widths after the shifts are the same.
*/
int BitDepth = 8;
// / compensate everything | / effective word length |
int shift1 = Log2(nT) + 6 + BitDepth - 15;
int shift2 = Log2(nT) + 6;
int rnd1 = 1<<(shift1-1);
int rnd2 = 1<<(shift2-1);
int fact = (1<<(5-Log2(nT)));
int16_t g[32*32]; // actually, only [nT*nT] used
for (int c=0;c<nT;c++) {
for (int i=0;i<nT;i++) {
int sum=0;
for (int j=0;j<nT;j++) {
sum += mat_dct[fact*i][j] * input[c+j*stride];
}
g[c+i*nT] = (sum+rnd1)>>shift1; // clipping to -32768;32767 unnecessary
}
}
for (int y=0;y<nT;y++) {
for (int i=0;i<nT;i++) {
int sum=0;
for (int j=0;j<nT;j++) {
sum += mat_dct[fact*i][j] * g[y*nT+j];
}
// no clipping to -32768;32767 required
int out = (sum+rnd2)>>shift2;
coeffs[y*nT+i] = out;
}
}
}
void fdct_4x4_8_fallback(int16_t *coeffs, const int16_t *input, ptrdiff_t stride)
{
transform_fdct_8(coeffs, 4, input,stride);
}
void fdct_8x8_8_fallback(int16_t *coeffs, const int16_t *input, ptrdiff_t stride)
{
transform_fdct_8(coeffs, 8, input,stride);
}
void fdct_16x16_8_fallback(int16_t *coeffs, const int16_t *input, ptrdiff_t stride)
{
transform_fdct_8(coeffs, 16, input,stride);
}
void fdct_32x32_8_fallback(int16_t *coeffs, const int16_t *input, ptrdiff_t stride)
{