1/* 2 * Template for the Discrete Cosine Transform for 32 samples 3 * Copyright (c) 2001, 2002 Fabrice Bellard 4 * 5 * This file is part of Libav. 6 * 7 * Libav is free software; you can redistribute it and/or 8 * modify it under the terms of the GNU Lesser General Public 9 * License as published by the Free Software Foundation; either 10 * version 2.1 of the License, or (at your option) any later version. 11 * 12 * Libav is distributed in the hope that it will be useful, 13 * but WITHOUT ANY WARRANTY; without even the implied warranty of 14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 15 * Lesser General Public License for more details. 16 * 17 * You should have received a copy of the GNU Lesser General Public 18 * License along with Libav; if not, write to the Free Software 19 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA 20 */ 21 22#include "dct32.h" 23#include "mathops.h" 24 25#if DCT32_FLOAT 26# define dct32 ff_dct32_float 27# define FIXHR(x) ((float)(x)) 28# define MULH3(x, y, s) ((s)*(y)*(x)) 29# define INTFLOAT float 30#else 31# define dct32 ff_dct32_fixed 32# define FIXHR(a) ((int)((a) * (1LL<<32) + 0.5)) 33# define MULH3(x, y, s) MULH((s)*(x), y) 34# define INTFLOAT int 35#endif 36 37 38/* tab[i][j] = 1.0 / (2.0 * cos(pi*(2*k+1) / 2^(6 - j))) */ 39 40/* cos(i*pi/64) */ 41 42#define COS0_0 FIXHR(0.50060299823519630134/2) 43#define COS0_1 FIXHR(0.50547095989754365998/2) 44#define COS0_2 FIXHR(0.51544730992262454697/2) 45#define COS0_3 FIXHR(0.53104259108978417447/2) 46#define COS0_4 FIXHR(0.55310389603444452782/2) 47#define COS0_5 FIXHR(0.58293496820613387367/2) 48#define COS0_6 FIXHR(0.62250412303566481615/2) 49#define COS0_7 FIXHR(0.67480834145500574602/2) 50#define COS0_8 FIXHR(0.74453627100229844977/2) 51#define COS0_9 FIXHR(0.83934964541552703873/2) 52#define COS0_10 FIXHR(0.97256823786196069369/2) 53#define COS0_11 FIXHR(1.16943993343288495515/4) 54#define COS0_12 FIXHR(1.48416461631416627724/4) 55#define COS0_13 FIXHR(2.05778100995341155085/8) 56#define COS0_14 FIXHR(3.40760841846871878570/8) 57#define COS0_15 FIXHR(10.19000812354805681150/32) 58 59#define COS1_0 FIXHR(0.50241928618815570551/2) 60#define COS1_1 FIXHR(0.52249861493968888062/2) 61#define COS1_2 FIXHR(0.56694403481635770368/2) 62#define COS1_3 FIXHR(0.64682178335999012954/2) 63#define COS1_4 FIXHR(0.78815462345125022473/2) 64#define COS1_5 FIXHR(1.06067768599034747134/4) 65#define COS1_6 FIXHR(1.72244709823833392782/4) 66#define COS1_7 FIXHR(5.10114861868916385802/16) 67 68#define COS2_0 FIXHR(0.50979557910415916894/2) 69#define COS2_1 FIXHR(0.60134488693504528054/2) 70#define COS2_2 FIXHR(0.89997622313641570463/2) 71#define COS2_3 FIXHR(2.56291544774150617881/8) 72 73#define COS3_0 FIXHR(0.54119610014619698439/2) 74#define COS3_1 FIXHR(1.30656296487637652785/4) 75 76#define COS4_0 FIXHR(0.70710678118654752439/2) 77 78/* butterfly operator */ 79#define BF(a, b, c, s)\ 80{\ 81 tmp0 = val##a + val##b;\ 82 tmp1 = val##a - val##b;\ 83 val##a = tmp0;\ 84 val##b = MULH3(tmp1, c, 1<<(s));\ 85} 86 87#define BF0(a, b, c, s)\ 88{\ 89 tmp0 = tab[a] + tab[b];\ 90 tmp1 = tab[a] - tab[b];\ 91 val##a = tmp0;\ 92 val##b = MULH3(tmp1, c, 1<<(s));\ 93} 94 95#define BF1(a, b, c, d)\ 96{\ 97 BF(a, b, COS4_0, 1);\ 98 BF(c, d,-COS4_0, 1);\ 99 val##c += val##d;\ 100} 101 102#define BF2(a, b, c, d)\ 103{\ 104 BF(a, b, COS4_0, 1);\ 105 BF(c, d,-COS4_0, 1);\ 106 val##c += val##d;\ 107 val##a += val##c;\ 108 val##c += val##b;\ 109 val##b += val##d;\ 110} 111 112#define ADD(a, b) val##a += val##b 113 114/* DCT32 without 1/sqrt(2) coef zero scaling. */ 115void dct32(INTFLOAT *out, const INTFLOAT *tab) 116{ 117 INTFLOAT tmp0, tmp1; 118 119 INTFLOAT val0 , val1 , val2 , val3 , val4 , val5 , val6 , val7 , 120 val8 , val9 , val10, val11, val12, val13, val14, val15, 121 val16, val17, val18, val19, val20, val21, val22, val23, 122 val24, val25, val26, val27, val28, val29, val30, val31; 123 124 /* pass 1 */ 125 BF0( 0, 31, COS0_0 , 1); 126 BF0(15, 16, COS0_15, 5); 127 /* pass 2 */ 128 BF( 0, 15, COS1_0 , 1); 129 BF(16, 31,-COS1_0 , 1); 130 /* pass 1 */ 131 BF0( 7, 24, COS0_7 , 1); 132 BF0( 8, 23, COS0_8 , 1); 133 /* pass 2 */ 134 BF( 7, 8, COS1_7 , 4); 135 BF(23, 24,-COS1_7 , 4); 136 /* pass 3 */ 137 BF( 0, 7, COS2_0 , 1); 138 BF( 8, 15,-COS2_0 , 1); 139 BF(16, 23, COS2_0 , 1); 140 BF(24, 31,-COS2_0 , 1); 141 /* pass 1 */ 142 BF0( 3, 28, COS0_3 , 1); 143 BF0(12, 19, COS0_12, 2); 144 /* pass 2 */ 145 BF( 3, 12, COS1_3 , 1); 146 BF(19, 28,-COS1_3 , 1); 147 /* pass 1 */ 148 BF0( 4, 27, COS0_4 , 1); 149 BF0(11, 20, COS0_11, 2); 150 /* pass 2 */ 151 BF( 4, 11, COS1_4 , 1); 152 BF(20, 27,-COS1_4 , 1); 153 /* pass 3 */ 154 BF( 3, 4, COS2_3 , 3); 155 BF(11, 12,-COS2_3 , 3); 156 BF(19, 20, COS2_3 , 3); 157 BF(27, 28,-COS2_3 , 3); 158 /* pass 4 */ 159 BF( 0, 3, COS3_0 , 1); 160 BF( 4, 7,-COS3_0 , 1); 161 BF( 8, 11, COS3_0 , 1); 162 BF(12, 15,-COS3_0 , 1); 163 BF(16, 19, COS3_0 , 1); 164 BF(20, 23,-COS3_0 , 1); 165 BF(24, 27, COS3_0 , 1); 166 BF(28, 31,-COS3_0 , 1); 167 168 169 170 /* pass 1 */ 171 BF0( 1, 30, COS0_1 , 1); 172 BF0(14, 17, COS0_14, 3); 173 /* pass 2 */ 174 BF( 1, 14, COS1_1 , 1); 175 BF(17, 30,-COS1_1 , 1); 176 /* pass 1 */ 177 BF0( 6, 25, COS0_6 , 1); 178 BF0( 9, 22, COS0_9 , 1); 179 /* pass 2 */ 180 BF( 6, 9, COS1_6 , 2); 181 BF(22, 25,-COS1_6 , 2); 182 /* pass 3 */ 183 BF( 1, 6, COS2_1 , 1); 184 BF( 9, 14,-COS2_1 , 1); 185 BF(17, 22, COS2_1 , 1); 186 BF(25, 30,-COS2_1 , 1); 187 188 /* pass 1 */ 189 BF0( 2, 29, COS0_2 , 1); 190 BF0(13, 18, COS0_13, 3); 191 /* pass 2 */ 192 BF( 2, 13, COS1_2 , 1); 193 BF(18, 29,-COS1_2 , 1); 194 /* pass 1 */ 195 BF0( 5, 26, COS0_5 , 1); 196 BF0(10, 21, COS0_10, 1); 197 /* pass 2 */ 198 BF( 5, 10, COS1_5 , 2); 199 BF(21, 26,-COS1_5 , 2); 200 /* pass 3 */ 201 BF( 2, 5, COS2_2 , 1); 202 BF(10, 13,-COS2_2 , 1); 203 BF(18, 21, COS2_2 , 1); 204 BF(26, 29,-COS2_2 , 1); 205 /* pass 4 */ 206 BF( 1, 2, COS3_1 , 2); 207 BF( 5, 6,-COS3_1 , 2); 208 BF( 9, 10, COS3_1 , 2); 209 BF(13, 14,-COS3_1 , 2); 210 BF(17, 18, COS3_1 , 2); 211 BF(21, 22,-COS3_1 , 2); 212 BF(25, 26, COS3_1 , 2); 213 BF(29, 30,-COS3_1 , 2); 214 215 /* pass 5 */ 216 BF1( 0, 1, 2, 3); 217 BF2( 4, 5, 6, 7); 218 BF1( 8, 9, 10, 11); 219 BF2(12, 13, 14, 15); 220 BF1(16, 17, 18, 19); 221 BF2(20, 21, 22, 23); 222 BF1(24, 25, 26, 27); 223 BF2(28, 29, 30, 31); 224 225 /* pass 6 */ 226 227 ADD( 8, 12); 228 ADD(12, 10); 229 ADD(10, 14); 230 ADD(14, 9); 231 ADD( 9, 13); 232 ADD(13, 11); 233 ADD(11, 15); 234 235 out[ 0] = val0; 236 out[16] = val1; 237 out[ 8] = val2; 238 out[24] = val3; 239 out[ 4] = val4; 240 out[20] = val5; 241 out[12] = val6; 242 out[28] = val7; 243 out[ 2] = val8; 244 out[18] = val9; 245 out[10] = val10; 246 out[26] = val11; 247 out[ 6] = val12; 248 out[22] = val13; 249 out[14] = val14; 250 out[30] = val15; 251 252 ADD(24, 28); 253 ADD(28, 26); 254 ADD(26, 30); 255 ADD(30, 25); 256 ADD(25, 29); 257 ADD(29, 27); 258 ADD(27, 31); 259 260 out[ 1] = val16 + val24; 261 out[17] = val17 + val25; 262 out[ 9] = val18 + val26; 263 out[25] = val19 + val27; 264 out[ 5] = val20 + val28; 265 out[21] = val21 + val29; 266 out[13] = val22 + val30; 267 out[29] = val23 + val31; 268 out[ 3] = val24 + val20; 269 out[19] = val25 + val21; 270 out[11] = val26 + val22; 271 out[27] = val27 + val23; 272 out[ 7] = val28 + val18; 273 out[23] = val29 + val19; 274 out[15] = val30 + val17; 275 out[31] = val31; 276} 277