/* * Simple IDCT * * Copyright (c) 2001 Michael Niedermayer * * This library 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 2 of the License, or (at your option) any later version. * * This library 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 this library; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ /* based upon some outcommented c code from mpeg2dec (idct_mmx.c written by Aaron Holtzman ) */ #include "avcodec.h" #include "simple_idct.h" #if 0 #define W1 2841 /* 2048*sqrt (2)*cos (1*pi/16) */ #define W2 2676 /* 2048*sqrt (2)*cos (2*pi/16) */ #define W3 2408 /* 2048*sqrt (2)*cos (3*pi/16) */ #define W4 2048 /* 2048*sqrt (2)*cos (4*pi/16) */ #define W5 1609 /* 2048*sqrt (2)*cos (5*pi/16) */ #define W6 1108 /* 2048*sqrt (2)*cos (6*pi/16) */ #define W7 565 /* 2048*sqrt (2)*cos (7*pi/16) */ #define ROW_SHIFT 8 #define COL_SHIFT 17 #else #define W1 22725 //cos(i*M_PI/16)*sqrt(2)*(1<<14) + 0.5 #define W2 21407 //cos(i*M_PI/16)*sqrt(2)*(1<<14) + 0.5 #define W3 19266 //cos(i*M_PI/16)*sqrt(2)*(1<<14) + 0.5 #define W4 16383 //cos(i*M_PI/16)*sqrt(2)*(1<<14) + 0.5 #define W5 12873 //cos(i*M_PI/16)*sqrt(2)*(1<<14) + 0.5 #define W6 8867 //cos(i*M_PI/16)*sqrt(2)*(1<<14) + 0.5 #define W7 4520 //cos(i*M_PI/16)*sqrt(2)*(1<<14) + 0.5 #define ROW_SHIFT 11 #define COL_SHIFT 20 // 6 #endif /* 8x8 Matrix used to do a trivial (slow) 8 point IDCT */ static int coeff[64]={ W4, W4, W4, W4, W4, W4, W4, W4, W1, W3, W5, W7,-W7,-W5,-W3,-W1, W2, W6,-W6,-W2,-W2,-W6, W6, W2, W3,-W7,-W1,-W5, W5, W1, W7,-W3, W4,-W4,-W4, W4, W4,-W4,-W4, W4, W5,-W1, W7, W3,-W3,-W7, W1,-W5, W6,-W2, W2,-W6,-W6, W2,-W2, W6, W7,-W5, W3,-W1, W1,-W3, W5,-W7 }; static inline int idctRowCondZ (int16_t * row) { int a0, a1, a2, a3, b0, b1, b2, b3; if( !( ((uint32_t*)row)[0]|((uint32_t*)row)[1] |((uint32_t*)row)[2] |((uint32_t*)row)[3])) { /* row[0] = row[1] = row[2] = row[3] = row[4] = row[5] = row[6] = row[7] = 0;*/ return 0; } if(!( ((uint32_t*)row)[2] |((uint32_t*)row)[3] )){ a0 = W4*row[0] + W2*row[2] + (1<<(ROW_SHIFT-1)); a1 = W4*row[0] + W6*row[2] + (1<<(ROW_SHIFT-1)); a2 = W4*row[0] - W6*row[2] + (1<<(ROW_SHIFT-1)); a3 = W4*row[0] - W2*row[2] + (1<<(ROW_SHIFT-1)); b0 = W1*row[1] + W3*row[3]; b1 = W3*row[1] - W7*row[3]; b2 = W5*row[1] - W1*row[3]; b3 = W7*row[1] - W5*row[3]; }else{ a0 = W4*row[0] + W2*row[2] + W4*row[4] + W6*row[6] + (1<<(ROW_SHIFT-1)); a1 = W4*row[0] + W6*row[2] - W4*row[4] - W2*row[6] + (1<<(ROW_SHIFT-1)); a2 = W4*row[0] - W6*row[2] - W4*row[4] + W2*row[6] + (1<<(ROW_SHIFT-1)); a3 = W4*row[0] - W2*row[2] + W4*row[4] - W6*row[6] + (1<<(ROW_SHIFT-1)); b0 = W1*row[1] + W3*row[3] + W5*row[5] + W7*row[7]; b1 = W3*row[1] - W7*row[3] - W1*row[5] - W5*row[7]; b2 = W5*row[1] - W1*row[3] + W7*row[5] + W3*row[7]; b3 = W7*row[1] - W5*row[3] + W3*row[5] - W1*row[7]; } row[0] = (a0 + b0) >> ROW_SHIFT; row[1] = (a1 + b1) >> ROW_SHIFT; row[2] = (a2 + b2) >> ROW_SHIFT; row[3] = (a3 + b3) >> ROW_SHIFT; row[4] = (a3 - b3) >> ROW_SHIFT; row[5] = (a2 - b2) >> ROW_SHIFT; row[6] = (a1 - b1) >> ROW_SHIFT; row[7] = (a0 - b0) >> ROW_SHIFT; return 1; } #ifdef ARCH_ALPHA /* 0: all entries 0, 1: only first entry nonzero, 2: otherwise */ static inline int idctRowCondDC(int16_t *row) { int_fast32_t a0, a1, a2, a3, b0, b1, b2, b3; uint64_t *lrow = (uint64_t *) row; if (lrow[1] == 0) { if (lrow[0] == 0) return 0; if ((lrow[0] & ~0xffffULL) == 0) { uint64_t v; a0 = W4 * row[0]; a0 += 1 << (ROW_SHIFT - 1); a0 >>= ROW_SHIFT; v = (uint16_t) a0; v += v << 16; v += v << 32; lrow[0] = v; lrow[1] = v; return 1; } } a0 = W4 * row[0]; a1 = W4 * row[0]; a2 = W4 * row[0]; a3 = W4 * row[0]; if (row[2]) { a0 += W2 * row[2]; a1 += W6 * row[2]; a2 -= W6 * row[2]; a3 -= W2 * row[2]; } if (row[4]) { a0 += W4 * row[4]; a1 -= W4 * row[4]; a2 -= W4 * row[4]; a3 += W4 * row[4]; } if (row[6]) { a0 += W6 * row[6]; a1 -= W2 * row[6]; a2 += W2 * row[6]; a3 -= W6 * row[6]; } a0 += 1 << (ROW_SHIFT - 1); a1 += 1 << (ROW_SHIFT - 1); a2 += 1 << (ROW_SHIFT - 1); a3 += 1 << (ROW_SHIFT - 1); if (row[1]) { b0 = W1 * row[1]; b1 = W3 * row[1]; b2 = W5 * row[1]; b3 = W7 * row[1]; } else { b0 = 0; b1 = 0; b2 = 0; b3 = 0; } if (row[3]) { b0 += W3 * row[3]; b1 -= W7 * row[3]; b2 -= W1 * row[3]; b3 -= W5 * row[3]; } if (row[5]) { b0 += W5 * row[5]; b1 -= W1 * row[5]; b2 += W7 * row[5]; b3 += W3 * row[5]; } if (row[7]) { b0 += W7 * row[7]; b1 -= W5 * row[7]; b2 += W3 * row[7]; b3 -= W1 * row[7]; } row[0] = (a0 + b0) >> ROW_SHIFT; row[1] = (a1 + b1) >> ROW_SHIFT; row[2] = (a2 + b2) >> ROW_SHIFT; row[3] = (a3 + b3) >> ROW_SHIFT; row[4] = (a3 - b3) >> ROW_SHIFT; row[5] = (a2 - b2) >> ROW_SHIFT; row[6] = (a1 - b1) >> ROW_SHIFT; row[7] = (a0 - b0) >> ROW_SHIFT; return 2; } #else /* not ARCH_ALPHA */ static inline int idctRowCondDC (int16_t * row) { int a0, a1, a2, a3, b0, b1, b2, b3; if( !( ((uint32_t*)row)[1] |((uint32_t*)row)[2] |((uint32_t*)row)[3]| row[1])) { // row[0] = row[1] = row[2] = row[3] = row[4] = row[5] = row[6] = row[7] = row[0]<<3; uint16_t temp= row[0]<<3; ((uint32_t*)row)[0]=((uint32_t*)row)[1]= ((uint32_t*)row)[2]=((uint32_t*)row)[3]= temp + (temp<<16); return 0; } if(!( ((uint32_t*)row)[2] |((uint32_t*)row)[3] )){ a0 = W4*row[0] + W2*row[2] + (1<<(ROW_SHIFT-1)); a1 = W4*row[0] + W6*row[2] + (1<<(ROW_SHIFT-1)); a2 = W4*row[0] - W6*row[2] + (1<<(ROW_SHIFT-1)); a3 = W4*row[0] - W2*row[2] + (1<<(ROW_SHIFT-1)); b0 = W1*row[1] + W3*row[3]; b1 = W3*row[1] - W7*row[3]; b2 = W5*row[1] - W1*row[3]; b3 = W7*row[1] - W5*row[3]; }else{ a0 = W4*row[0] + W2*row[2] + W4*row[4] + W6*row[6] + (1<<(ROW_SHIFT-1)); a1 = W4*row[0] + W6*row[2] - W4*row[4] - W2*row[6] + (1<<(ROW_SHIFT-1)); a2 = W4*row[0] - W6*row[2] - W4*row[4] + W2*row[6] + (1<<(ROW_SHIFT-1)); a3 = W4*row[0] - W2*row[2] + W4*row[4] - W6*row[6] + (1<<(ROW_SHIFT-1)); b0 = W1*row[1] + W3*row[3] + W5*row[5] + W7*row[7]; b1 = W3*row[1] - W7*row[3] - W1*row[5] - W5*row[7]; b2 = W5*row[1] - W1*row[3] + W7*row[5] + W3*row[7]; b3 = W7*row[1] - W5*row[3] + W3*row[5] - W1*row[7]; } row[0] = (a0 + b0) >> ROW_SHIFT; row[7] = (a0 - b0) >> ROW_SHIFT; row[1] = (a1 + b1) >> ROW_SHIFT; row[6] = (a1 - b1) >> ROW_SHIFT; row[2] = (a2 + b2) >> ROW_SHIFT; row[5] = (a2 - b2) >> ROW_SHIFT; row[3] = (a3 + b3) >> ROW_SHIFT; row[4] = (a3 - b3) >> ROW_SHIFT; return 1; } #endif /* not ARCH_ALPHA */ static inline void idctCol (int16_t * col) { /* if( !(col[8*1] | col[8*2] |col[8*3] |col[8*4] |col[8*5] |col[8*6] | col[8*7])) { col[8*0] = col[8*1] = col[8*2] = col[8*3] = col[8*4] = col[8*5] = col[8*6] = col[8*7] = col[8*0]<<3; return; }*/ int a0, a1, a2, a3, b0, b1, b2, b3; col[0] += (1<<(COL_SHIFT-1))/W4; a0 = W4*col[8*0] + W2*col[8*2] + W4*col[8*4] + W6*col[8*6]; a1 = W4*col[8*0] + W6*col[8*2] - W4*col[8*4] - W2*col[8*6]; a2 = W4*col[8*0] - W6*col[8*2] - W4*col[8*4] + W2*col[8*6]; a3 = W4*col[8*0] - W2*col[8*2] + W4*col[8*4] - W6*col[8*6]; b0 = W1*col[8*1] + W3*col[8*3] + W5*col[8*5] + W7*col[8*7]; b1 = W3*col[8*1] - W7*col[8*3] - W1*col[8*5] - W5*col[8*7]; b2 = W5*col[8*1] - W1*col[8*3] + W7*col[8*5] + W3*col[8*7]; b3 = W7*col[8*1] - W5*col[8*3] + W3*col[8*5] - W1*col[8*7]; col[8*0] = (a0 + b0) >> COL_SHIFT; col[8*7] = (a0 - b0) >> COL_SHIFT; col[8*1] = (a1 + b1) >> COL_SHIFT; col[8*6] = (a1 - b1) >> COL_SHIFT; col[8*2] = (a2 + b2) >> COL_SHIFT; col[8*5] = (a2 - b2) >> COL_SHIFT; col[8*3] = (a3 + b3) >> COL_SHIFT; col[8*4] = (a3 - b3) >> COL_SHIFT; } static inline void idctSparseCol (int16_t * col) { int a0, a1, a2, a3, b0, b1, b2, b3; col[0] += (1<<(COL_SHIFT-1))/W4; a0 = W4*col[8*0]; a1 = W4*col[8*0]; a2 = W4*col[8*0]; a3 = W4*col[8*0]; if(col[8*2]){ a0 += + W2*col[8*2]; a1 += + W6*col[8*2]; a2 += - W6*col[8*2]; a3 += - W2*col[8*2]; } if(col[8*4]){ a0 += + W4*col[8*4]; a1 += - W4*col[8*4]; a2 += - W4*col[8*4]; a3 += + W4*col[8*4]; } if(col[8*6]){ a0 += + W6*col[8*6]; a1 += - W2*col[8*6]; a2 += + W2*col[8*6]; a3 += - W6*col[8*6]; } if(col[8*1]){ b0 = W1*col[8*1]; b1 = W3*col[8*1]; b2 = W5*col[8*1]; b3 = W7*col[8*1]; }else{ b0 = b1 = b2 = b3 = 0; } if(col[8*3]){ b0 += + W3*col[8*3]; b1 += - W7*col[8*3]; b2 += - W1*col[8*3]; b3 += - W5*col[8*3]; } if(col[8*5]){ b0 += + W5*col[8*5]; b1 += - W1*col[8*5]; b2 += + W7*col[8*5]; b3 += + W3*col[8*5]; } if(col[8*7]){ b0 += + W7*col[8*7]; b1 += - W5*col[8*7]; b2 += + W3*col[8*7]; b3 += - W1*col[8*7]; } #ifndef ARCH_ALPHA if(!(b0|b1|b2|b3)){ col[8*0] = (a0) >> COL_SHIFT; col[8*7] = (a0) >> COL_SHIFT; col[8*1] = (a1) >> COL_SHIFT; col[8*6] = (a1) >> COL_SHIFT; col[8*2] = (a2) >> COL_SHIFT; col[8*5] = (a2) >> COL_SHIFT; col[8*3] = (a3) >> COL_SHIFT; col[8*4] = (a3) >> COL_SHIFT; }else{ #endif col[8*0] = (a0 + b0) >> COL_SHIFT; col[8*7] = (a0 - b0) >> COL_SHIFT; col[8*1] = (a1 + b1) >> COL_SHIFT; col[8*6] = (a1 - b1) >> COL_SHIFT; col[8*2] = (a2 + b2) >> COL_SHIFT; col[8*5] = (a2 - b2) >> COL_SHIFT; col[8*3] = (a3 + b3) >> COL_SHIFT; col[8*4] = (a3 - b3) >> COL_SHIFT; #ifndef ARCH_ALPHA } #endif } static inline void idctSparse2Col (int16_t * col) { int a0, a1, a2, a3, b0, b1, b2, b3; col[0] += (1<<(COL_SHIFT-1))/W4; a0 = W4*col[8*0]; a1 = W4*col[8*0]; a2 = W4*col[8*0]; a3 = W4*col[8*0]; if(col[8*2]){ a0 += + W2*col[8*2]; a1 += + W6*col[8*2]; a2 += - W6*col[8*2]; a3 += - W2*col[8*2]; } if(col[8*4]){ a0 += + W4*col[8*4]; a1 += - W4*col[8*4]; a2 += - W4*col[8*4]; a3 += + W4*col[8*4]; } if(col[8*6]){ a0 += + W6*col[8*6]; a1 += - W2*col[8*6]; a2 += + W2*col[8*6]; a3 += - W6*col[8*6]; } if(col[8*1] || 1){ b0 = W1*col[8*1]; b1 = W3*col[8*1]; b2 = W5*col[8*1]; b3 = W7*col[8*1]; }else{ b0 = b1 = b2 = b3 = 0; } if(col[8*3]){ b0 += + W3*col[8*3]; b1 += - W7*col[8*3]; b2 += - W1*col[8*3]; b3 += - W5*col[8*3]; } if(col[8*5]){ b0 += + W5*col[8*5]; b1 += - W1*col[8*5]; b2 += + W7*col[8*5]; b3 += + W3*col[8*5]; } if(col[8*7]){ b0 += + W7*col[8*7]; b1 += - W5*col[8*7]; b2 += + W3*col[8*7]; b3 += - W1*col[8*7]; } col[8*0] = (a0 + b0) >> COL_SHIFT; col[8*7] = (a0 - b0) >> COL_SHIFT; col[8*1] = (a1 + b1) >> COL_SHIFT; col[8*6] = (a1 - b1) >> COL_SHIFT; col[8*2] = (a2 + b2) >> COL_SHIFT; col[8*5] = (a2 - b2) >> COL_SHIFT; col[8*3] = (a3 + b3) >> COL_SHIFT; col[8*4] = (a3 - b3) >> COL_SHIFT; } #ifdef ARCH_ALPHA /* If all rows but the first one are zero after row transformation, all rows will be identical after column transformation. */ static inline void idctCol2(int16_t *col) { int i; uint64_t l, r; uint64_t *lcol = (uint64_t *) col; for (i = 0; i < 8; ++i) { int a0 = col[0] + (1 << (COL_SHIFT - 1)) / W4; a0 *= W4; col[0] = a0 >> COL_SHIFT; ++col; } l = lcol[0]; r = lcol[1]; lcol[ 2] = l; lcol[ 3] = r; lcol[ 4] = l; lcol[ 5] = r; lcol[ 6] = l; lcol[ 7] = r; lcol[ 8] = l; lcol[ 9] = r; lcol[10] = l; lcol[11] = r; lcol[12] = l; lcol[13] = r; lcol[14] = l; lcol[15] = r; } #endif void simple_idct (short *block) { int i; #if 0 int nonZero[8]; int buffer[64]; int nNonZero=0; idctRowCondDC(block); for(i=1; i<8; i++) { nonZero[nNonZero]=i; nNonZero+= idctRowCondZ(block + i*8); } if(nNonZero==0) { for(i=0; i<8; i++) { block[i ]= block[i+8 ]= block[i+16]= block[i+24]= block[i+32]= block[i+40]= block[i+48]= block[i+56]= (W4*block[i] + (1<<(COL_SHIFT-1))) >> COL_SHIFT; } } else if(nNonZero==1) { int index= nonZero[0]*8; for(i=0; i<8; i++) { int bias= W4*block[i] + (1<<(COL_SHIFT-1)); int c= block[i + index]; block[i ]= (c*coeff[index ] + bias) >> COL_SHIFT; block[i+8 ]= (c*coeff[index+1] + bias) >> COL_SHIFT; block[i+16]= (c*coeff[index+2] + bias) >> COL_SHIFT; block[i+24]= (c*coeff[index+3] + bias) >> COL_SHIFT; block[i+32]= (c*coeff[index+4] + bias) >> COL_SHIFT; block[i+40]= (c*coeff[index+5] + bias) >> COL_SHIFT; block[i+48]= (c*coeff[index+6] + bias) >> COL_SHIFT; block[i+56]= (c*coeff[index+7] + bias) >> COL_SHIFT; } } /* else if(nNonZero==2) { int index1= nonZero[0]*8; int index2= nonZero[1]*8; for(i=0; i<8; i++) { int bias= W4*block[i] + (1<<(COL_SHIFT-1)); int c1= block[i + index1]; int c2= block[i + index2]; block[i ]= (c1*coeff[index1 ] + c2*coeff[index2 ] + bias) >> COL_SHIFT; block[i+8 ]= (c1*coeff[index1+1] + c2*coeff[index2+1] + bias) >> COL_SHIFT; block[i+16]= (c1*coeff[index1+2] + c2*coeff[index2+2] + bias) >> COL_SHIFT; block[i+24]= (c1*coeff[index1+3] + c2*coeff[index2+3] + bias) >> COL_SHIFT; block[i+32]= (c1*coeff[index1+4] + c2*coeff[index2+4] + bias) >> COL_SHIFT; block[i+40]= (c1*coeff[index1+5] + c2*coeff[index2+5] + bias) >> COL_SHIFT; block[i+48]= (c1*coeff[index1+6] + c2*coeff[index2+6] + bias) >> COL_SHIFT; block[i+56]= (c1*coeff[index1+7] + c2*coeff[index2+7] + bias) >> COL_SHIFT; } }*/ else { for(i=0; i<8; i++) idctSparse2Col(block + i); } #elif defined(ARCH_ALPHA) int rowsZero = 1; /* all rows except row 0 zero */ int rowsConstant = 1; /* all rows consist of a constant value */ for (i = 0; i < 8; i++) { int sparseness = idctRowCondDC(block + 8 * i); if (i > 0 && sparseness > 0) rowsZero = 0; if (sparseness == 2) rowsConstant = 0; } if (rowsZero) { idctCol2(block); } else if (rowsConstant) { uint64_t *lblock = (uint64_t *) block; idctSparseCol(block); for (i = 0; i < 8; i++) { uint64_t v = (uint16_t) block[i * 8]; v += v << 16; v += v << 32; lblock[0] = v; lblock[1] = v; lblock += 2; } } else { for (i = 0; i < 8; i++) idctSparseCol(block + i); } #else for(i=0; i<8; i++) idctRowCondDC(block + i*8); for(i=0; i<8; i++) idctSparseCol(block + i); #endif } #undef COL_SHIFT