ref: 1c1d5c5baf527c08f3a98711aed987bd8265e791
dir: /vpx_dsp/psnrhvs.c/
/*
* Copyright (c) 2010 The WebM project authors. All Rights Reserved.
*
* Use of this source code is governed by a BSD-style license
* that can be found in the LICENSE file in the root of the source
* tree. An additional intellectual property rights grant can be found
* in the file PATENTS. All contributing project authors may
* be found in the AUTHORS file in the root of the source tree.
*
* This code was originally written by: Gregory Maxwell, at the Daala
* project.
*/
#include <assert.h>
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "./vpx_config.h"
#include "./vpx_dsp_rtcd.h"
#include "vpx_dsp/ssim.h"
#include "vpx_ports/system_state.h"
#include "vpx_dsp/psnr.h"
#if !defined(M_PI)
#define M_PI (3.141592653589793238462643)
#endif
#include <string.h>
static void od_bin_fdct8x8(tran_low_t *y, int ystride, const int16_t *x,
int xstride) {
int i, j;
(void)xstride;
vpx_fdct8x8(x, y, ystride);
for (i = 0; i < 8; i++)
for (j = 0; j < 8; j++)
*(y + ystride * i + j) = (*(y + ystride * i + j) + 4) >> 3;
}
#if CONFIG_VP9_HIGHBITDEPTH
static void hbd_od_bin_fdct8x8(tran_low_t *y, int ystride, const int16_t *x,
int xstride) {
int i, j;
(void)xstride;
vpx_highbd_fdct8x8(x, y, ystride);
for (i = 0; i < 8; i++)
for (j = 0; j < 8; j++)
*(y + ystride * i + j) = (*(y + ystride * i + j) + 4) >> 3;
}
#endif
/* Normalized inverse quantization matrix for 8x8 DCT at the point of
* transparency. This is not the JPEG based matrix from the paper,
this one gives a slightly higher MOS agreement.*/
static const double csf_y[8][8] = {
{ 1.6193873005, 2.2901594831, 2.08509755623, 1.48366094411, 1.00227514334,
0.678296995242, 0.466224900598, 0.3265091542 },
{ 2.2901594831, 1.94321815382, 2.04793073064, 1.68731108984, 1.2305666963,
0.868920337363, 0.61280991668, 0.436405793551 },
{ 2.08509755623, 2.04793073064, 1.34329019223, 1.09205635862, 0.875748795257,
0.670882927016, 0.501731932449, 0.372504254596 },
{ 1.48366094411, 1.68731108984, 1.09205635862, 0.772819797575, 0.605636379554,
0.48309405692, 0.380429446972, 0.295774038565 },
{ 1.00227514334, 1.2305666963, 0.875748795257, 0.605636379554, 0.448996256676,
0.352889268808, 0.283006984131, 0.226951348204 },
{ 0.678296995242, 0.868920337363, 0.670882927016, 0.48309405692,
0.352889268808, 0.27032073436, 0.215017739696, 0.17408067321 },
{ 0.466224900598, 0.61280991668, 0.501731932449, 0.380429446972,
0.283006984131, 0.215017739696, 0.168869545842, 0.136153931001 },
{ 0.3265091542, 0.436405793551, 0.372504254596, 0.295774038565,
0.226951348204, 0.17408067321, 0.136153931001, 0.109083846276 }
};
static const double csf_cb420[8][8] = {
{ 1.91113096927, 2.46074210438, 1.18284184739, 1.14982565193, 1.05017074788,
0.898018824055, 0.74725392039, 0.615105596242 },
{ 2.46074210438, 1.58529308355, 1.21363250036, 1.38190029285, 1.33100189972,
1.17428548929, 0.996404342439, 0.830890433625 },
{ 1.18284184739, 1.21363250036, 0.978712413627, 1.02624506078, 1.03145147362,
0.960060382087, 0.849823426169, 0.731221236837 },
{ 1.14982565193, 1.38190029285, 1.02624506078, 0.861317501629, 0.801821139099,
0.751437590932, 0.685398513368, 0.608694761374 },
{ 1.05017074788, 1.33100189972, 1.03145147362, 0.801821139099, 0.676555426187,
0.605503172737, 0.55002013668, 0.495804539034 },
{ 0.898018824055, 1.17428548929, 0.960060382087, 0.751437590932,
0.605503172737, 0.514674450957, 0.454353482512, 0.407050308965 },
{ 0.74725392039, 0.996404342439, 0.849823426169, 0.685398513368,
0.55002013668, 0.454353482512, 0.389234902883, 0.342353999733 },
{ 0.615105596242, 0.830890433625, 0.731221236837, 0.608694761374,
0.495804539034, 0.407050308965, 0.342353999733, 0.295530605237 }
};
static const double csf_cr420[8][8] = {
{ 2.03871978502, 2.62502345193, 1.26180942886, 1.11019789803, 1.01397751469,
0.867069376285, 0.721500455585, 0.593906509971 },
{ 2.62502345193, 1.69112867013, 1.17180569821, 1.3342742857, 1.28513006198,
1.13381474809, 0.962064122248, 0.802254508198 },
{ 1.26180942886, 1.17180569821, 0.944981930573, 0.990876405848,
0.995903384143, 0.926972725286, 0.820534991409, 0.706020324706 },
{ 1.11019789803, 1.3342742857, 0.990876405848, 0.831632933426, 0.77418706195,
0.725539939514, 0.661776842059, 0.587716619023 },
{ 1.01397751469, 1.28513006198, 0.995903384143, 0.77418706195, 0.653238524286,
0.584635025748, 0.531064164893, 0.478717061273 },
{ 0.867069376285, 1.13381474809, 0.926972725286, 0.725539939514,
0.584635025748, 0.496936637883, 0.438694579826, 0.393021669543 },
{ 0.721500455585, 0.962064122248, 0.820534991409, 0.661776842059,
0.531064164893, 0.438694579826, 0.375820256136, 0.330555063063 },
{ 0.593906509971, 0.802254508198, 0.706020324706, 0.587716619023,
0.478717061273, 0.393021669543, 0.330555063063, 0.285345396658 }
};
static double convert_score_db(double _score, double _weight, int bit_depth) {
int16_t pix_max = 255;
assert(_score * _weight >= 0.0);
if (bit_depth == 10)
pix_max = 1023;
else if (bit_depth == 12)
pix_max = 4095;
if (_weight * _score < pix_max * pix_max * 1e-10) return MAX_PSNR;
return 10 * (log10(pix_max * pix_max) - log10(_weight * _score));
}
static double calc_psnrhvs(const unsigned char *src, int _systride,
const unsigned char *dst, int _dystride, double _par,
int _w, int _h, int _step, const double _csf[8][8],
uint32_t bit_depth, uint32_t _shift) {
double ret;
const uint8_t *_src8 = src;
const uint8_t *_dst8 = dst;
const uint16_t *_src16 = CONVERT_TO_SHORTPTR(src);
const uint16_t *_dst16 = CONVERT_TO_SHORTPTR(dst);
DECLARE_ALIGNED(16, int16_t, dct_s[8 * 8]);
DECLARE_ALIGNED(16, int16_t, dct_d[8 * 8]);
DECLARE_ALIGNED(16, tran_low_t, dct_s_coef[8 * 8]);
DECLARE_ALIGNED(16, tran_low_t, dct_d_coef[8 * 8]);
double mask[8][8];
int pixels;
int x;
int y;
(void)_par;
ret = pixels = 0;
/*In the PSNR-HVS-M paper[1] the authors describe the construction of
their masking table as "we have used the quantization table for the
color component Y of JPEG [6] that has been also obtained on the
basis of CSF. Note that the values in quantization table JPEG have
been normalized and then squared." Their CSF matrix (from PSNR-HVS)
was also constructed from the JPEG matrices. I can not find any obvious
scheme of normalizing to produce their table, but if I multiply their
CSF by 0.3885746225901003 and square the result I get their masking table.
I have no idea where this constant comes from, but deviating from it
too greatly hurts MOS agreement.
[1] Nikolay Ponomarenko, Flavia Silvestri, Karen Egiazarian, Marco Carli,
Jaakko Astola, Vladimir Lukin, "On between-coefficient contrast masking
of DCT basis functions", CD-ROM Proceedings of the Third
International Workshop on Video Processing and Quality Metrics for Consumer
Electronics VPQM-07, Scottsdale, Arizona, USA, 25-26 January, 2007, 4 p.
Suggested in aomedia issue #2363:
0.3885746225901003 is a reciprocal of the maximum coefficient (2.573509)
of the old JPEG based matrix from the paper. Since you are not using that,
divide by actual maximum coefficient. */
for (x = 0; x < 8; x++)
for (y = 0; y < 8; y++)
mask[x][y] = (_csf[x][y] / _csf[1][0]) * (_csf[x][y] / _csf[1][0]);
for (y = 0; y < _h - 7; y += _step) {
for (x = 0; x < _w - 7; x += _step) {
int i;
int j;
double s_means[4];
double d_means[4];
double s_vars[4];
double d_vars[4];
double s_gmean = 0;
double d_gmean = 0;
double s_gvar = 0;
double d_gvar = 0;
double s_mask = 0;
double d_mask = 0;
for (i = 0; i < 4; i++)
s_means[i] = d_means[i] = s_vars[i] = d_vars[i] = 0;
for (i = 0; i < 8; i++) {
for (j = 0; j < 8; j++) {
int sub = ((i & 12) >> 2) + ((j & 12) >> 1);
if (bit_depth == 8 && _shift == 0) {
dct_s[i * 8 + j] = _src8[(y + i) * _systride + (j + x)];
dct_d[i * 8 + j] = _dst8[(y + i) * _dystride + (j + x)];
} else if (bit_depth == 10 || bit_depth == 12) {
dct_s[i * 8 + j] = _src16[(y + i) * _systride + (j + x)] >> _shift;
dct_d[i * 8 + j] = _dst16[(y + i) * _dystride + (j + x)] >> _shift;
}
s_gmean += dct_s[i * 8 + j];
d_gmean += dct_d[i * 8 + j];
s_means[sub] += dct_s[i * 8 + j];
d_means[sub] += dct_d[i * 8 + j];
}
}
s_gmean /= 64.f;
d_gmean /= 64.f;
for (i = 0; i < 4; i++) s_means[i] /= 16.f;
for (i = 0; i < 4; i++) d_means[i] /= 16.f;
for (i = 0; i < 8; i++) {
for (j = 0; j < 8; j++) {
int sub = ((i & 12) >> 2) + ((j & 12) >> 1);
s_gvar += (dct_s[i * 8 + j] - s_gmean) * (dct_s[i * 8 + j] - s_gmean);
d_gvar += (dct_d[i * 8 + j] - d_gmean) * (dct_d[i * 8 + j] - d_gmean);
s_vars[sub] += (dct_s[i * 8 + j] - s_means[sub]) *
(dct_s[i * 8 + j] - s_means[sub]);
d_vars[sub] += (dct_d[i * 8 + j] - d_means[sub]) *
(dct_d[i * 8 + j] - d_means[sub]);
}
}
s_gvar *= 1 / 63.f * 64;
d_gvar *= 1 / 63.f * 64;
for (i = 0; i < 4; i++) s_vars[i] *= 1 / 15.f * 16;
for (i = 0; i < 4; i++) d_vars[i] *= 1 / 15.f * 16;
if (s_gvar > 0)
s_gvar = (s_vars[0] + s_vars[1] + s_vars[2] + s_vars[3]) / s_gvar;
if (d_gvar > 0)
d_gvar = (d_vars[0] + d_vars[1] + d_vars[2] + d_vars[3]) / d_gvar;
#if CONFIG_VP9_HIGHBITDEPTH
if (bit_depth == 10 || bit_depth == 12) {
hbd_od_bin_fdct8x8(dct_s_coef, 8, dct_s, 8);
hbd_od_bin_fdct8x8(dct_d_coef, 8, dct_d, 8);
}
#endif
if (bit_depth == 8) {
od_bin_fdct8x8(dct_s_coef, 8, dct_s, 8);
od_bin_fdct8x8(dct_d_coef, 8, dct_d, 8);
}
for (i = 0; i < 8; i++)
for (j = (i == 0); j < 8; j++)
s_mask += dct_s_coef[i * 8 + j] * dct_s_coef[i * 8 + j] * mask[i][j];
for (i = 0; i < 8; i++)
for (j = (i == 0); j < 8; j++)
d_mask += dct_d_coef[i * 8 + j] * dct_d_coef[i * 8 + j] * mask[i][j];
s_mask = sqrt(s_mask * s_gvar) / 32.f;
d_mask = sqrt(d_mask * d_gvar) / 32.f;
if (d_mask > s_mask) s_mask = d_mask;
for (i = 0; i < 8; i++) {
for (j = 0; j < 8; j++) {
double err;
err = fabs((double)(dct_s_coef[i * 8 + j] - dct_d_coef[i * 8 + j]));
if (i != 0 || j != 0)
err = err < s_mask / mask[i][j] ? 0 : err - s_mask / mask[i][j];
ret += (err * _csf[i][j]) * (err * _csf[i][j]);
pixels++;
}
}
}
}
if (pixels <= 0) return 0;
ret /= pixels;
return ret;
}
double vpx_psnrhvs(const YV12_BUFFER_CONFIG *src,
const YV12_BUFFER_CONFIG *dest, double *y_psnrhvs,
double *u_psnrhvs, double *v_psnrhvs, uint32_t bd,
uint32_t in_bd) {
double psnrhvs;
const double par = 1.0;
const int step = 7;
uint32_t bd_shift = 0;
vpx_clear_system_state();
assert(bd == 8 || bd == 10 || bd == 12);
assert(bd >= in_bd);
bd_shift = bd - in_bd;
*y_psnrhvs = calc_psnrhvs(src->y_buffer, src->y_stride, dest->y_buffer,
dest->y_stride, par, src->y_crop_width,
src->y_crop_height, step, csf_y, bd, bd_shift);
*u_psnrhvs = calc_psnrhvs(src->u_buffer, src->uv_stride, dest->u_buffer,
dest->uv_stride, par, src->uv_crop_width,
src->uv_crop_height, step, csf_cb420, bd, bd_shift);
*v_psnrhvs = calc_psnrhvs(src->v_buffer, src->uv_stride, dest->v_buffer,
dest->uv_stride, par, src->uv_crop_width,
src->uv_crop_height, step, csf_cr420, bd, bd_shift);
psnrhvs = (*y_psnrhvs) * .8 + .1 * ((*u_psnrhvs) + (*v_psnrhvs));
return convert_score_db(psnrhvs, 1.0, in_bd);
}