| 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 FFmpeg. |
| 6 | * |
| 7 | * FFmpeg 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 | * FFmpeg 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 FFmpeg; 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. */ |
| 115 | void 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 | } |