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/*
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* Copyright (c) 2003-2013 Loren Merritt
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110 USA
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*/
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/*
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* tiny_ssim.c
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* Computes the Structural Similarity Metric between two rawYV12 video files.
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* original algorithm:
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* Z. Wang, A. C. Bovik, H. R. Sheikh and E. P. Simoncelli,
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* "Image quality assessment: From error visibility to structural similarity,"
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* IEEE Transactions on Image Processing, vol. 13, no. 4, pp. 600-612, Apr. 2004.
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*
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* To improve speed, this implementation uses the standard approximation of
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* overlapped 8x8 block sums, rather than the original gaussian weights.
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*/
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#include "config.h"
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#include <inttypes.h>
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#include <limits.h>
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#include <math.h>
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#include <stdio.h>
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#include <stdlib.h>
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#define FFSWAP(type,a,b) do{type SWAP_tmp= b; b= a; a= SWAP_tmp;}while(0)
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#define FFMIN(a,b) ((a) > (b) ? (b) : (a))
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#define BIT_DEPTH 8
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#define PIXEL_MAX ((1 << BIT_DEPTH)-1)
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typedef uint8_t pixel;
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/****************************************************************************
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* structural similarity metric
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****************************************************************************/
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static void ssim_4x4x2_core( const pixel *pix1, intptr_t stride1,
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const pixel *pix2, intptr_t stride2,
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int sums[2][4] )
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{
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int x,y,z;
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for( z = 0; z < 2; z++ )
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{
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uint32_t s1 = 0, s2 = 0, ss = 0, s12 = 0;
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for( y = 0; y < 4; y++ )
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for( x = 0; x < 4; x++ )
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{
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int a = pix1[x+y*stride1];
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int b = pix2[x+y*stride2];
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s1 += a;
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s2 += b;
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ss += a*a;
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ss += b*b;
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s12 += a*b;
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}
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sums[z][0] = s1;
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sums[z][1] = s2;
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sums[z][2] = ss;
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sums[z][3] = s12;
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pix1 += 4;
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pix2 += 4;
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}
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}
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static float ssim_end1( int s1, int s2, int ss, int s12 )
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{
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/* Maximum value for 10-bit is: ss*64 = (2^10-1)^2*16*4*64 = 4286582784, which will overflow in some cases.
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* s1*s1, s2*s2, and s1*s2 also obtain this value for edge cases: ((2^10-1)*16*4)^2 = 4286582784.
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* Maximum value for 9-bit is: ss*64 = (2^9-1)^2*16*4*64 = 1069551616, which will not overflow. */
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#if BIT_DEPTH > 9
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#define type float
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static const float ssim_c1 = .01*.01*PIXEL_MAX*PIXEL_MAX*64;
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static const float ssim_c2 = .03*.03*PIXEL_MAX*PIXEL_MAX*64*63;
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#else
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#define type int
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static const int ssim_c1 = (int)(.01*.01*PIXEL_MAX*PIXEL_MAX*64 + .5);
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static const int ssim_c2 = (int)(.03*.03*PIXEL_MAX*PIXEL_MAX*64*63 + .5);
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#endif
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type fs1 = s1;
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type fs2 = s2;
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type fss = ss;
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type fs12 = s12;
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type vars = fss*64 - fs1*fs1 - fs2*fs2;
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type covar = fs12*64 - fs1*fs2;
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return (float)(2*fs1*fs2 + ssim_c1) * (float)(2*covar + ssim_c2)
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/ ((float)(fs1*fs1 + fs2*fs2 + ssim_c1) * (float)(vars + ssim_c2));
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#undef type
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}
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static float ssim_end4( int sum0[5][4], int sum1[5][4], int width )
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{
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float ssim = 0.0;
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int i;
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for( i = 0; i < width; i++ )
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ssim += ssim_end1( sum0[i][0] + sum0[i+1][0] + sum1[i][0] + sum1[i+1][0],
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sum0[i][1] + sum0[i+1][1] + sum1[i][1] + sum1[i+1][1],
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sum0[i][2] + sum0[i+1][2] + sum1[i][2] + sum1[i+1][2],
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sum0[i][3] + sum0[i+1][3] + sum1[i][3] + sum1[i+1][3] );
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return ssim;
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}
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float ssim_plane(
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pixel *pix1, intptr_t stride1,
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pixel *pix2, intptr_t stride2,
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int width, int height, void *buf, int *cnt )
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{
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int z = 0;
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int x, y;
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float ssim = 0.0;
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int (*sum0)[4] = buf;
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int (*sum1)[4] = sum0 + (width >> 2) + 3;
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width >>= 2;
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height >>= 2;
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for( y = 1; y < height; y++ )
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{
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for( ; z <= y; z++ )
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{
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FFSWAP( void*, sum0, sum1 );
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for( x = 0; x < width; x+=2 )
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ssim_4x4x2_core( &pix1[4*(x+z*stride1)], stride1, &pix2[4*(x+z*stride2)], stride2, &sum0[x] );
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}
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for( x = 0; x < width-1; x += 4 )
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ssim += ssim_end4( sum0+x, sum1+x, FFMIN(4,width-x-1) );
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}
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// *cnt = (height-1) * (width-1);
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return ssim / ((height-1) * (width-1));
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}
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uint64_t ssd_plane( const uint8_t *pix1, const uint8_t *pix2, int size )
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{
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uint64_t ssd = 0;
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int i;
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for( i=0; i<size; i++ )
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{
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int d = pix1[i] - pix2[i];
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ssd += d*d;
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}
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return ssd;
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}
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static double ssd_to_psnr( uint64_t ssd, uint64_t denom )
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{
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return -10*log((double)ssd/(denom*255*255))/log(10);
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}
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static double ssim_db( double ssim, double weight )
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{
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return 10*(log(weight)/log(10)-log(weight-ssim)/log(10));
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}
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static void print_results(uint64_t ssd[3], double ssim[3], int frames, int w, int h)
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{
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printf( "PSNR Y:%.3f U:%.3f V:%.3f All:%.3f | ",
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ssd_to_psnr( ssd[0], (uint64_t)frames*w*h ),
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ssd_to_psnr( ssd[1], (uint64_t)frames*w*h/4 ),
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ssd_to_psnr( ssd[2], (uint64_t)frames*w*h/4 ),
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ssd_to_psnr( ssd[0] + ssd[1] + ssd[2], (uint64_t)frames*w*h*3/2 ) );
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printf( "SSIM Y:%.5f U:%.5f V:%.5f All:%.5f (%.5f)",
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ssim[0] / frames,
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ssim[1] / frames,
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ssim[2] / frames,
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(ssim[0]*4 + ssim[1] + ssim[2]) / (frames*6),
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ssim_db(ssim[0] * 4 + ssim[1] + ssim[2], frames*6));
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}
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int main(int argc, char* argv[])
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{
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FILE *f[2];
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uint8_t *buf[2], *plane[2][3];
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int *temp;
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uint64_t ssd[3] = {0,0,0};
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double ssim[3] = {0,0,0};
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int frame_size, w, h;
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int frames, seek;
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int i;
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if( argc<4 || 2 != sscanf(argv[3], "%dx%d", &w, &h) )
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{
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printf("tiny_ssim <file1.yuv> <file2.yuv> <width>x<height> [<seek>]\n");
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return -1;
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}
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f[0] = fopen(argv[1], "rb");
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f[1] = fopen(argv[2], "rb");
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sscanf(argv[3], "%dx%d", &w, &h);
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if (w<=0 || h<=0 || w*(int64_t)h >= INT_MAX/3 || 2LL*w+12 >= INT_MAX / sizeof(*temp)) {
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fprintf(stderr, "Dimensions are too large, or invalid\n");
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return -2;
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}
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frame_size = w*h*3LL/2;
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for( i=0; i<2; i++ )
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{
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buf[i] = malloc(frame_size);
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plane[i][0] = buf[i];
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plane[i][1] = plane[i][0] + w*h;
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plane[i][2] = plane[i][1] + w*h/4;
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}
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temp = malloc((2*w+12)*sizeof(*temp));
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seek = argc<5 ? 0 : atoi(argv[4]);
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fseek(f[seek<0], seek < 0 ? -seek : seek, SEEK_SET);
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for( frames=0;; frames++ )
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{
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uint64_t ssd_one[3];
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double ssim_one[3];
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if( fread(buf[0], frame_size, 1, f[0]) != 1) break;
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if( fread(buf[1], frame_size, 1, f[1]) != 1) break;
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for( i=0; i<3; i++ )
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{
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ssd_one[i] = ssd_plane ( plane[0][i], plane[1][i], w*h>>2*!!i );
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ssim_one[i] = ssim_plane( plane[0][i], w>>!!i,
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plane[1][i], w>>!!i,
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w>>!!i, h>>!!i, temp, NULL );
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ssd[i] += ssd_one[i];
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ssim[i] += ssim_one[i];
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}
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printf("Frame %d | ", frames);
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print_results(ssd_one, ssim_one, 1, w, h);
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printf(" \r");
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fflush(stdout);
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}
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if( !frames ) return 0;
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printf("Total %d frames | ", frames);
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print_results(ssd, ssim, frames, w, h);
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printf("\n");
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return 0;
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}
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