/* * Simple IDCT * * Copyright (c) 2001 Michael Niedermayer * * This file is part of FFmpeg. * * FFmpeg 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 2.1 of the License, or (at your option) any later version. * * FFmpeg 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 FFmpeg; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ /** * @file libavcodec/simple_idct.c * simpleidct in C. */ /* based upon some outcommented c code from mpeg2dec (idct_mmx.c written by Aaron Holtzman ) */ #include "avcodec.h" #include "dsputil.h" #include "mathops.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 static inline void idctRowCondDC (DCTELEM * row) { int a0, a1, a2, a3, b0, b1, b2, b3; #if HAVE_FAST_64BIT uint64_t temp; #else uint32_t temp; #endif #if HAVE_FAST_64BIT #ifdef WORDS_BIGENDIAN #define ROW0_MASK 0xffff000000000000LL #else #define ROW0_MASK 0xffffLL #endif if(sizeof(DCTELEM)==2){ if ( ((((uint64_t *)row)[0] & ~ROW0_MASK) | ((uint64_t *)row)[1]) == 0) { temp = (row[0] << 3) & 0xffff; temp += temp << 16; temp += temp << 32; ((uint64_t *)row)[0] = temp; ((uint64_t *)row)[1] = temp; return; } }else{ if (!(row[1]|row[2]|row[3]|row[4]|row[5]|row[6]|row[7])) { row[0]=row[1]=row[2]=row[3]=row[4]=row[5]=row[6]=row[7]= row[0] << 3; return; } } #else if(sizeof(DCTELEM)==2){ if (!(((uint32_t*)row)[1] | ((uint32_t*)row)[2] | ((uint32_t*)row)[3] | row[1])) { temp = (row[0] << 3) & 0xffff; temp += temp << 16; ((uint32_t*)row)[0]=((uint32_t*)row)[1] = ((uint32_t*)row)[2]=((uint32_t*)row)[3] = temp; return; } }else{ if (!(row[1]|row[2]|row[3]|row[4]|row[5]|row[6]|row[7])) { row[0]=row[1]=row[2]=row[3]=row[4]=row[5]=row[6]=row[7]= row[0] << 3; return; } } #endif a0 = (W4 * row[0]) + (1 << (ROW_SHIFT - 1)); a1 = a0; a2 = a0; a3 = a0; /* no need to optimize : gcc does it */ a0 += W2 * row[2]; a1 += W6 * row[2]; a2 -= W6 * row[2]; a3 -= W2 * row[2]; b0 = MUL16(W1, row[1]); MAC16(b0, W3, row[3]); b1 = MUL16(W3, row[1]); MAC16(b1, -W7, row[3]); b2 = MUL16(W5, row[1]); MAC16(b2, -W1, row[3]); b3 = MUL16(W7, row[1]); MAC16(b3, -W5, row[3]); #if HAVE_FAST_64BIT temp = ((uint64_t*)row)[1]; #else temp = ((uint32_t*)row)[2] | ((uint32_t*)row)[3]; #endif if (temp != 0) { a0 += W4*row[4] + W6*row[6]; a1 += - W4*row[4] - W2*row[6]; a2 += - W4*row[4] + W2*row[6]; a3 += W4*row[4] - W6*row[6]; MAC16(b0, W5, row[5]); MAC16(b0, W7, row[7]); MAC16(b1, -W1, row[5]); MAC16(b1, -W5, row[7]); MAC16(b2, W7, row[5]); MAC16(b2, W3, row[7]); MAC16(b3, W3, row[5]); MAC16(b3, -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; } static inline void idctSparseColPut (uint8_t *dest, int line_size, DCTELEM * col) { int a0, a1, a2, a3, b0, b1, b2, b3; uint8_t *cm = ff_cropTbl + MAX_NEG_CROP; /* XXX: I did that only to give same values as previous code */ a0 = W4 * (col[8*0] + ((1<<(COL_SHIFT-1))/W4)); a1 = a0; a2 = a0; a3 = a0; a0 += + W2*col[8*2]; a1 += + W6*col[8*2]; a2 += - W6*col[8*2]; a3 += - W2*col[8*2]; b0 = MUL16(W1, col[8*1]); b1 = MUL16(W3, col[8*1]); b2 = MUL16(W5, col[8*1]); b3 = MUL16(W7, col[8*1]); MAC16(b0, + W3, col[8*3]); MAC16(b1, - W7, col[8*3]); MAC16(b2, - W1, col[8*3]); MAC16(b3, - W5, col[8*3]); 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*5]) { MAC16(b0, + W5, col[8*5]); MAC16(b1, - W1, col[8*5]); MAC16(b2, + W7, col[8*5]); MAC16(b3, + W3, col[8*5]); } 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*7]) { MAC16(b0, + W7, col[8*7]); MAC16(b1, - W5, col[8*7]); MAC16(b2, + W3, col[8*7]); MAC16(b3, - W1, col[8*7]); } dest[0] = cm[(a0 + b0) >> COL_SHIFT]; dest += line_size; dest[0] = cm[(a1 + b1) >> COL_SHIFT]; dest += line_size; dest[0] = cm[(a2 + b2) >> COL_SHIFT]; dest += line_size; dest[0] = cm[(a3 + b3) >> COL_SHIFT]; dest += line_size; dest[0] = cm[(a3 - b3) >> COL_SHIFT]; dest += line_size; dest[0] = cm[(a2 - b2) >> COL_SHIFT]; dest += line_size; dest[0] = cm[(a1 - b1) >> COL_SHIFT]; dest += line_size; dest[0] = cm[(a0 - b0) >> COL_SHIFT]; } static inline void idctSparseColAdd (uint8_t *dest, int line_size, DCTELEM * col) { int a0, a1, a2, a3, b0, b1, b2, b3; uint8_t *cm = ff_cropTbl + MAX_NEG_CROP; /* XXX: I did that only to give same values as previous code */ a0 = W4 * (col[8*0] + ((1<<(COL_SHIFT-1))/W4)); a1 = a0; a2 = a0; a3 = a0; a0 += + W2*col[8*2]; a1 += + W6*col[8*2]; a2 += - W6*col[8*2]; a3 += - W2*col[8*2]; b0 = MUL16(W1, col[8*1]); b1 = MUL16(W3, col[8*1]); b2 = MUL16(W5, col[8*1]); b3 = MUL16(W7, col[8*1]); MAC16(b0, + W3, col[8*3]); MAC16(b1, - W7, col[8*3]); MAC16(b2, - W1, col[8*3]); MAC16(b3, - W5, col[8*3]); 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*5]) { MAC16(b0, + W5, col[8*5]); MAC16(b1, - W1, col[8*5]); MAC16(b2, + W7, col[8*5]); MAC16(b3, + W3, col[8*5]); } 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*7]) { MAC16(b0, + W7, col[8*7]); MAC16(b1, - W5, col[8*7]); MAC16(b2, + W3, col[8*7]); MAC16(b3, - W1, col[8*7]); } dest[0] = cm[dest[0] + ((a0 + b0) >> COL_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((a1 + b1) >> COL_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((a2 + b2) >> COL_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((a3 + b3) >> COL_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((a3 - b3) >> COL_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((a2 - b2) >> COL_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((a1 - b1) >> COL_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((a0 - b0) >> COL_SHIFT)]; } static inline void idctSparseCol (DCTELEM * col) { int a0, a1, a2, a3, b0, b1, b2, b3; /* XXX: I did that only to give same values as previous code */ a0 = W4 * (col[8*0] + ((1<<(COL_SHIFT-1))/W4)); a1 = a0; a2 = a0; a3 = a0; a0 += + W2*col[8*2]; a1 += + W6*col[8*2]; a2 += - W6*col[8*2]; a3 += - W2*col[8*2]; b0 = MUL16(W1, col[8*1]); b1 = MUL16(W3, col[8*1]); b2 = MUL16(W5, col[8*1]); b3 = MUL16(W7, col[8*1]); MAC16(b0, + W3, col[8*3]); MAC16(b1, - W7, col[8*3]); MAC16(b2, - W1, col[8*3]); MAC16(b3, - W5, col[8*3]); 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*5]) { MAC16(b0, + W5, col[8*5]); MAC16(b1, - W1, col[8*5]); MAC16(b2, + W7, col[8*5]); MAC16(b3, + W3, col[8*5]); } 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*7]) { MAC16(b0, + W7, col[8*7]); MAC16(b1, - W5, col[8*7]); MAC16(b2, + W3, col[8*7]); MAC16(b3, - W1, col[8*7]); } col[0 ] = ((a0 + b0) >> COL_SHIFT); col[8 ] = ((a1 + b1) >> COL_SHIFT); col[16] = ((a2 + b2) >> COL_SHIFT); col[24] = ((a3 + b3) >> COL_SHIFT); col[32] = ((a3 - b3) >> COL_SHIFT); col[40] = ((a2 - b2) >> COL_SHIFT); col[48] = ((a1 - b1) >> COL_SHIFT); col[56] = ((a0 - b0) >> COL_SHIFT); } void ff_simple_idct_put(uint8_t *dest, int line_size, DCTELEM *block) { int i; for(i=0; i<8; i++) idctRowCondDC(block + i*8); for(i=0; i<8; i++) idctSparseColPut(dest + i, line_size, block + i); } void ff_simple_idct_add(uint8_t *dest, int line_size, DCTELEM *block) { int i; for(i=0; i<8; i++) idctRowCondDC(block + i*8); for(i=0; i<8; i++) idctSparseColAdd(dest + i, line_size, block + i); } void ff_simple_idct(DCTELEM *block) { int i; for(i=0; i<8; i++) idctRowCondDC(block + i*8); for(i=0; i<8; i++) idctSparseCol(block + i); } /* 2x4x8 idct */ #define CN_SHIFT 12 #define C_FIX(x) ((int)((x) * (1 << CN_SHIFT) + 0.5)) #define C1 C_FIX(0.6532814824) #define C2 C_FIX(0.2705980501) /* row idct is multiple by 16 * sqrt(2.0), col idct4 is normalized, and the butterfly must be multiplied by 0.5 * sqrt(2.0) */ #define C_SHIFT (4+1+12) static inline void idct4col_put(uint8_t *dest, int line_size, const DCTELEM *col) { int c0, c1, c2, c3, a0, a1, a2, a3; const uint8_t *cm = ff_cropTbl + MAX_NEG_CROP; a0 = col[8*0]; a1 = col[8*2]; a2 = col[8*4]; a3 = col[8*6]; c0 = ((a0 + a2) << (CN_SHIFT - 1)) + (1 << (C_SHIFT - 1)); c2 = ((a0 - a2) << (CN_SHIFT - 1)) + (1 << (C_SHIFT - 1)); c1 = a1 * C1 + a3 * C2; c3 = a1 * C2 - a3 * C1; dest[0] = cm[(c0 + c1) >> C_SHIFT]; dest += line_size; dest[0] = cm[(c2 + c3) >> C_SHIFT]; dest += line_size; dest[0] = cm[(c2 - c3) >> C_SHIFT]; dest += line_size; dest[0] = cm[(c0 - c1) >> C_SHIFT]; } #define BF(k) \ {\ int a0, a1;\ a0 = ptr[k];\ a1 = ptr[8 + k];\ ptr[k] = a0 + a1;\ ptr[8 + k] = a0 - a1;\ } /* only used by DV codec. The input must be interlaced. 128 is added to the pixels before clamping to avoid systematic error (1024*sqrt(2)) offset would be needed otherwise. */ /* XXX: I think a 1.0/sqrt(2) normalization should be needed to compensate the extra butterfly stage - I don't have the full DV specification */ void ff_simple_idct248_put(uint8_t *dest, int line_size, DCTELEM *block) { int i; DCTELEM *ptr; /* butterfly */ ptr = block; for(i=0;i<4;i++) { BF(0); BF(1); BF(2); BF(3); BF(4); BF(5); BF(6); BF(7); ptr += 2 * 8; } /* IDCT8 on each line */ for(i=0; i<8; i++) { idctRowCondDC(block + i*8); } /* IDCT4 and store */ for(i=0;i<8;i++) { idct4col_put(dest + i, 2 * line_size, block + i); idct4col_put(dest + line_size + i, 2 * line_size, block + 8 + i); } } /* 8x4 & 4x8 WMV2 IDCT */ #undef CN_SHIFT #undef C_SHIFT #undef C_FIX #undef C1 #undef C2 #define CN_SHIFT 12 #define C_FIX(x) ((int)((x) * 1.414213562 * (1 << CN_SHIFT) + 0.5)) #define C1 C_FIX(0.6532814824) #define C2 C_FIX(0.2705980501) #define C3 C_FIX(0.5) #define C_SHIFT (4+1+12) static inline void idct4col_add(uint8_t *dest, int line_size, const DCTELEM *col) { int c0, c1, c2, c3, a0, a1, a2, a3; const uint8_t *cm = ff_cropTbl + MAX_NEG_CROP; a0 = col[8*0]; a1 = col[8*1]; a2 = col[8*2]; a3 = col[8*3]; c0 = (a0 + a2)*C3 + (1 << (C_SHIFT - 1)); c2 = (a0 - a2)*C3 + (1 << (C_SHIFT - 1)); c1 = a1 * C1 + a3 * C2; c3 = a1 * C2 - a3 * C1; dest[0] = cm[dest[0] + ((c0 + c1) >> C_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((c2 + c3) >> C_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((c2 - c3) >> C_SHIFT)]; dest += line_size; dest[0] = cm[dest[0] + ((c0 - c1) >> C_SHIFT)]; } #define RN_SHIFT 15 #define R_FIX(x) ((int)((x) * 1.414213562 * (1 << RN_SHIFT) + 0.5)) #define R1 R_FIX(0.6532814824) #define R2 R_FIX(0.2705980501) #define R3 R_FIX(0.5) #define R_SHIFT 11 static inline void idct4row(DCTELEM *row) { int c0, c1, c2, c3, a0, a1, a2, a3; //const uint8_t *cm = ff_cropTbl + MAX_NEG_CROP; a0 = row[0]; a1 = row[1]; a2 = row[2]; a3 = row[3]; c0 = (a0 + a2)*R3 + (1 << (R_SHIFT - 1)); c2 = (a0 - a2)*R3 + (1 << (R_SHIFT - 1)); c1 = a1 * R1 + a3 * R2; c3 = a1 * R2 - a3 * R1; row[0]= (c0 + c1) >> R_SHIFT; row[1]= (c2 + c3) >> R_SHIFT; row[2]= (c2 - c3) >> R_SHIFT; row[3]= (c0 - c1) >> R_SHIFT; } void ff_simple_idct84_add(uint8_t *dest, int line_size, DCTELEM *block) { int i; /* IDCT8 on each line */ for(i=0; i<4; i++) { idctRowCondDC(block + i*8); } /* IDCT4 and store */ for(i=0;i<8;i++) { idct4col_add(dest + i, line_size, block + i); } } void ff_simple_idct48_add(uint8_t *dest, int line_size, DCTELEM *block) { int i; /* IDCT4 on each line */ for(i=0; i<8; i++) { idct4row(block + i*8); } /* IDCT8 and store */ for(i=0; i<4; i++){ idctSparseColAdd(dest + i, line_size, block + i); } } void ff_simple_idct44_add(uint8_t *dest, int line_size, DCTELEM *block) { int i; /* IDCT4 on each line */ for(i=0; i<4; i++) { idct4row(block + i*8); } /* IDCT4 and store */ for(i=0; i<4; i++){ idct4col_add(dest + i, line_size, block + i); } }