1/* 2 * Floating point AAN DCT 3 * this implementation is based upon the IJG integer AAN DCT (see jfdctfst.c) 4 * 5 * Copyright (c) 2003 Michael Niedermayer <michaelni@gmx.at> 6 * Copyright (c) 2003 Roman Shaposhnik 7 * 8 * Permission to use, copy, modify, and/or distribute this software for any 9 * purpose with or without fee is hereby granted, provided that the above 10 * copyright notice and this permission notice appear in all copies. 11 * 12 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES 13 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF 14 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR 15 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES 16 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN 17 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF 18 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 19 */ 20 21/** 22 * @file libavcodec/faandct.c 23 * @brief 24 * Floating point AAN DCT 25 * @author Michael Niedermayer <michaelni@gmx.at> 26 */ 27 28#include "dsputil.h" 29#include "faandct.h" 30 31#define FLOAT float 32#ifdef FAAN_POSTSCALE 33# define SCALE(x) postscale[x] 34#else 35# define SCALE(x) 1 36#endif 37 38//numbers generated by simple c code (not as accurate as they could be) 39/* 40for(i=0; i<8; i++){ 41 printf("#define B%d %1.20llf\n", i, (long double)1.0/(cosl(i*acosl(-1.0)/(long double)16.0)*sqrtl(2))); 42} 43*/ 44#define B0 1.00000000000000000000 45#define B1 0.72095982200694791383 // (cos(pi*1/16)sqrt(2))^-1 46#define B2 0.76536686473017954350 // (cos(pi*2/16)sqrt(2))^-1 47#define B3 0.85043009476725644878 // (cos(pi*3/16)sqrt(2))^-1 48#define B4 1.00000000000000000000 // (cos(pi*4/16)sqrt(2))^-1 49#define B5 1.27275858057283393842 // (cos(pi*5/16)sqrt(2))^-1 50#define B6 1.84775906502257351242 // (cos(pi*6/16)sqrt(2))^-1 51#define B7 3.62450978541155137218 // (cos(pi*7/16)sqrt(2))^-1 52 53 54#define A1 0.70710678118654752438 // cos(pi*4/16) 55#define A2 0.54119610014619698435 // cos(pi*6/16)sqrt(2) 56#define A5 0.38268343236508977170 // cos(pi*6/16) 57#define A4 1.30656296487637652774 // cos(pi*2/16)sqrt(2) 58 59static const FLOAT postscale[64]={ 60B0*B0, B0*B1, B0*B2, B0*B3, B0*B4, B0*B5, B0*B6, B0*B7, 61B1*B0, B1*B1, B1*B2, B1*B3, B1*B4, B1*B5, B1*B6, B1*B7, 62B2*B0, B2*B1, B2*B2, B2*B3, B2*B4, B2*B5, B2*B6, B2*B7, 63B3*B0, B3*B1, B3*B2, B3*B3, B3*B4, B3*B5, B3*B6, B3*B7, 64B4*B0, B4*B1, B4*B2, B4*B3, B4*B4, B4*B5, B4*B6, B4*B7, 65B5*B0, B5*B1, B5*B2, B5*B3, B5*B4, B5*B5, B5*B6, B5*B7, 66B6*B0, B6*B1, B6*B2, B6*B3, B6*B4, B6*B5, B6*B6, B6*B7, 67B7*B0, B7*B1, B7*B2, B7*B3, B7*B4, B7*B5, B7*B6, B7*B7, 68}; 69 70static av_always_inline void row_fdct(FLOAT temp[64], DCTELEM * data) 71{ 72 FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; 73 FLOAT tmp10, tmp11, tmp12, tmp13; 74 FLOAT z2, z4, z11, z13; 75 FLOAT av_unused z5; 76 int i; 77 78 for (i=0; i<8*8; i+=8) { 79 tmp0= data[0 + i] + data[7 + i]; 80 tmp7= data[0 + i] - data[7 + i]; 81 tmp1= data[1 + i] + data[6 + i]; 82 tmp6= data[1 + i] - data[6 + i]; 83 tmp2= data[2 + i] + data[5 + i]; 84 tmp5= data[2 + i] - data[5 + i]; 85 tmp3= data[3 + i] + data[4 + i]; 86 tmp4= data[3 + i] - data[4 + i]; 87 88 tmp10= tmp0 + tmp3; 89 tmp13= tmp0 - tmp3; 90 tmp11= tmp1 + tmp2; 91 tmp12= tmp1 - tmp2; 92 93 temp[0 + i]= tmp10 + tmp11; 94 temp[4 + i]= tmp10 - tmp11; 95 96 tmp12 += tmp13; 97 tmp12 *= A1; 98 temp[2 + i]= tmp13 + tmp12; 99 temp[6 + i]= tmp13 - tmp12; 100 101 tmp4 += tmp5; 102 tmp5 += tmp6; 103 tmp6 += tmp7; 104 105#if 0 106 z5= (tmp4 - tmp6) * A5; 107 z2= tmp4*A2 + z5; 108 z4= tmp6*A4 + z5; 109#else 110 z2= tmp4*(A2+A5) - tmp6*A5; 111 z4= tmp6*(A4-A5) + tmp4*A5; 112#endif 113 tmp5*=A1; 114 115 z11= tmp7 + tmp5; 116 z13= tmp7 - tmp5; 117 118 temp[5 + i]= z13 + z2; 119 temp[3 + i]= z13 - z2; 120 temp[1 + i]= z11 + z4; 121 temp[7 + i]= z11 - z4; 122 } 123} 124 125void ff_faandct(DCTELEM * data) 126{ 127 FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; 128 FLOAT tmp10, tmp11, tmp12, tmp13; 129 FLOAT z2, z4, z11, z13; 130 FLOAT av_unused z5; 131 FLOAT temp[64]; 132 int i; 133 134 emms_c(); 135 136 row_fdct(temp, data); 137 138 for (i=0; i<8; i++) { 139 tmp0= temp[8*0 + i] + temp[8*7 + i]; 140 tmp7= temp[8*0 + i] - temp[8*7 + i]; 141 tmp1= temp[8*1 + i] + temp[8*6 + i]; 142 tmp6= temp[8*1 + i] - temp[8*6 + i]; 143 tmp2= temp[8*2 + i] + temp[8*5 + i]; 144 tmp5= temp[8*2 + i] - temp[8*5 + i]; 145 tmp3= temp[8*3 + i] + temp[8*4 + i]; 146 tmp4= temp[8*3 + i] - temp[8*4 + i]; 147 148 tmp10= tmp0 + tmp3; 149 tmp13= tmp0 - tmp3; 150 tmp11= tmp1 + tmp2; 151 tmp12= tmp1 - tmp2; 152 153 data[8*0 + i]= lrintf(SCALE(8*0 + i) * (tmp10 + tmp11)); 154 data[8*4 + i]= lrintf(SCALE(8*4 + i) * (tmp10 - tmp11)); 155 156 tmp12 += tmp13; 157 tmp12 *= A1; 158 data[8*2 + i]= lrintf(SCALE(8*2 + i) * (tmp13 + tmp12)); 159 data[8*6 + i]= lrintf(SCALE(8*6 + i) * (tmp13 - tmp12)); 160 161 tmp4 += tmp5; 162 tmp5 += tmp6; 163 tmp6 += tmp7; 164 165#if 0 166 z5= (tmp4 - tmp6) * A5; 167 z2= tmp4*A2 + z5; 168 z4= tmp6*A4 + z5; 169#else 170 z2= tmp4*(A2+A5) - tmp6*A5; 171 z4= tmp6*(A4-A5) + tmp4*A5; 172#endif 173 tmp5*=A1; 174 175 z11= tmp7 + tmp5; 176 z13= tmp7 - tmp5; 177 178 data[8*5 + i]= lrintf(SCALE(8*5 + i) * (z13 + z2)); 179 data[8*3 + i]= lrintf(SCALE(8*3 + i) * (z13 - z2)); 180 data[8*1 + i]= lrintf(SCALE(8*1 + i) * (z11 + z4)); 181 data[8*7 + i]= lrintf(SCALE(8*7 + i) * (z11 - z4)); 182 } 183} 184 185void ff_faandct248(DCTELEM * data) 186{ 187 FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; 188 FLOAT tmp10, tmp11, tmp12, tmp13; 189 FLOAT temp[64]; 190 int i; 191 192 emms_c(); 193 194 row_fdct(temp, data); 195 196 for (i=0; i<8; i++) { 197 tmp0 = temp[8*0 + i] + temp[8*1 + i]; 198 tmp1 = temp[8*2 + i] + temp[8*3 + i]; 199 tmp2 = temp[8*4 + i] + temp[8*5 + i]; 200 tmp3 = temp[8*6 + i] + temp[8*7 + i]; 201 tmp4 = temp[8*0 + i] - temp[8*1 + i]; 202 tmp5 = temp[8*2 + i] - temp[8*3 + i]; 203 tmp6 = temp[8*4 + i] - temp[8*5 + i]; 204 tmp7 = temp[8*6 + i] - temp[8*7 + i]; 205 206 tmp10 = tmp0 + tmp3; 207 tmp11 = tmp1 + tmp2; 208 tmp12 = tmp1 - tmp2; 209 tmp13 = tmp0 - tmp3; 210 211 data[8*0 + i] = lrintf(SCALE(8*0 + i) * (tmp10 + tmp11)); 212 data[8*4 + i] = lrintf(SCALE(8*4 + i) * (tmp10 - tmp11)); 213 214 tmp12 += tmp13; 215 tmp12 *= A1; 216 data[8*2 + i] = lrintf(SCALE(8*2 + i) * (tmp13 + tmp12)); 217 data[8*6 + i] = lrintf(SCALE(8*6 + i) * (tmp13 - tmp12)); 218 219 tmp10 = tmp4 + tmp7; 220 tmp11 = tmp5 + tmp6; 221 tmp12 = tmp5 - tmp6; 222 tmp13 = tmp4 - tmp7; 223 224 data[8*1 + i] = lrintf(SCALE(8*0 + i) * (tmp10 + tmp11)); 225 data[8*5 + i] = lrintf(SCALE(8*4 + i) * (tmp10 - tmp11)); 226 227 tmp12 += tmp13; 228 tmp12 *= A1; 229 data[8*3 + i] = lrintf(SCALE(8*2 + i) * (tmp13 + tmp12)); 230 data[8*7 + i] = lrintf(SCALE(8*6 + i) * (tmp13 - tmp12)); 231 } 232} 233