| 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 |
| 23 | * @brief |
| 24 | * Floating point AAN DCT |
| 25 | * @author Michael Niedermayer <michaelni@gmx.at> |
| 26 | */ |
| 27 | |
| 28 | #include "faandct.h" |
| 29 | #include "libavutil/internal.h" |
| 30 | #include "libavutil/libm.h" |
| 31 | |
| 32 | #define FLOAT float |
| 33 | |
| 34 | //numbers generated by simple c code (not as accurate as they could be) |
| 35 | /* |
| 36 | for(i=0; i<8; i++){ |
| 37 | printf("#define B%d %1.20llf\n", i, (long double)1.0/(cosl(i*acosl(-1.0)/(long double)16.0)*sqrtl(2))); |
| 38 | } |
| 39 | */ |
| 40 | #define B0 1.00000000000000000000 |
| 41 | #define B1 0.72095982200694791383 // (cos(pi*1/16)sqrt(2))^-1 |
| 42 | #define B2 0.76536686473017954350 // (cos(pi*2/16)sqrt(2))^-1 |
| 43 | #define B3 0.85043009476725644878 // (cos(pi*3/16)sqrt(2))^-1 |
| 44 | #define B4 1.00000000000000000000 // (cos(pi*4/16)sqrt(2))^-1 |
| 45 | #define B5 1.27275858057283393842 // (cos(pi*5/16)sqrt(2))^-1 |
| 46 | #define B6 1.84775906502257351242 // (cos(pi*6/16)sqrt(2))^-1 |
| 47 | #define B7 3.62450978541155137218 // (cos(pi*7/16)sqrt(2))^-1 |
| 48 | |
| 49 | |
| 50 | #define A1 0.70710678118654752438 // cos(pi*4/16) |
| 51 | #define A2 0.54119610014619698435 // cos(pi*6/16)sqrt(2) |
| 52 | #define A5 0.38268343236508977170 // cos(pi*6/16) |
| 53 | #define A4 1.30656296487637652774 // cos(pi*2/16)sqrt(2) |
| 54 | |
| 55 | static const FLOAT postscale[64]={ |
| 56 | B0*B0, B0*B1, B0*B2, B0*B3, B0*B4, B0*B5, B0*B6, B0*B7, |
| 57 | B1*B0, B1*B1, B1*B2, B1*B3, B1*B4, B1*B5, B1*B6, B1*B7, |
| 58 | B2*B0, B2*B1, B2*B2, B2*B3, B2*B4, B2*B5, B2*B6, B2*B7, |
| 59 | B3*B0, B3*B1, B3*B2, B3*B3, B3*B4, B3*B5, B3*B6, B3*B7, |
| 60 | B4*B0, B4*B1, B4*B2, B4*B3, B4*B4, B4*B5, B4*B6, B4*B7, |
| 61 | B5*B0, B5*B1, B5*B2, B5*B3, B5*B4, B5*B5, B5*B6, B5*B7, |
| 62 | B6*B0, B6*B1, B6*B2, B6*B3, B6*B4, B6*B5, B6*B6, B6*B7, |
| 63 | B7*B0, B7*B1, B7*B2, B7*B3, B7*B4, B7*B5, B7*B6, B7*B7, |
| 64 | }; |
| 65 | |
| 66 | static av_always_inline void row_fdct(FLOAT temp[64], int16_t *data) |
| 67 | { |
| 68 | FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; |
| 69 | FLOAT tmp10, tmp11, tmp12, tmp13; |
| 70 | FLOAT z2, z4, z11, z13; |
| 71 | int i; |
| 72 | |
| 73 | for (i=0; i<8*8; i+=8) { |
| 74 | tmp0= data[0 + i] + data[7 + i]; |
| 75 | tmp7= data[0 + i] - data[7 + i]; |
| 76 | tmp1= data[1 + i] + data[6 + i]; |
| 77 | tmp6= data[1 + i] - data[6 + i]; |
| 78 | tmp2= data[2 + i] + data[5 + i]; |
| 79 | tmp5= data[2 + i] - data[5 + i]; |
| 80 | tmp3= data[3 + i] + data[4 + i]; |
| 81 | tmp4= data[3 + i] - data[4 + i]; |
| 82 | |
| 83 | tmp10= tmp0 + tmp3; |
| 84 | tmp13= tmp0 - tmp3; |
| 85 | tmp11= tmp1 + tmp2; |
| 86 | tmp12= tmp1 - tmp2; |
| 87 | |
| 88 | temp[0 + i]= tmp10 + tmp11; |
| 89 | temp[4 + i]= tmp10 - tmp11; |
| 90 | |
| 91 | tmp12 += tmp13; |
| 92 | tmp12 *= A1; |
| 93 | temp[2 + i]= tmp13 + tmp12; |
| 94 | temp[6 + i]= tmp13 - tmp12; |
| 95 | |
| 96 | tmp4 += tmp5; |
| 97 | tmp5 += tmp6; |
| 98 | tmp6 += tmp7; |
| 99 | |
| 100 | #if 0 |
| 101 | { |
| 102 | FLOAT z5; |
| 103 | z5 = (tmp4 - tmp6) * A5; |
| 104 | z2 = tmp4 * A2 + z5; |
| 105 | z4 = tmp6 * A4 + z5; |
| 106 | } |
| 107 | #else |
| 108 | z2= tmp4*(A2+A5) - tmp6*A5; |
| 109 | z4= tmp6*(A4-A5) + tmp4*A5; |
| 110 | #endif |
| 111 | tmp5*=A1; |
| 112 | |
| 113 | z11= tmp7 + tmp5; |
| 114 | z13= tmp7 - tmp5; |
| 115 | |
| 116 | temp[5 + i]= z13 + z2; |
| 117 | temp[3 + i]= z13 - z2; |
| 118 | temp[1 + i]= z11 + z4; |
| 119 | temp[7 + i]= z11 - z4; |
| 120 | } |
| 121 | } |
| 122 | |
| 123 | void ff_faandct(int16_t *data) |
| 124 | { |
| 125 | FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; |
| 126 | FLOAT tmp10, tmp11, tmp12, tmp13; |
| 127 | FLOAT z2, z4, z11, z13; |
| 128 | FLOAT temp[64]; |
| 129 | int i; |
| 130 | |
| 131 | emms_c(); |
| 132 | |
| 133 | row_fdct(temp, data); |
| 134 | |
| 135 | for (i=0; i<8; i++) { |
| 136 | tmp0= temp[8*0 + i] + temp[8*7 + i]; |
| 137 | tmp7= temp[8*0 + i] - temp[8*7 + i]; |
| 138 | tmp1= temp[8*1 + i] + temp[8*6 + i]; |
| 139 | tmp6= temp[8*1 + i] - temp[8*6 + i]; |
| 140 | tmp2= temp[8*2 + i] + temp[8*5 + i]; |
| 141 | tmp5= temp[8*2 + i] - temp[8*5 + i]; |
| 142 | tmp3= temp[8*3 + i] + temp[8*4 + i]; |
| 143 | tmp4= temp[8*3 + i] - temp[8*4 + i]; |
| 144 | |
| 145 | tmp10= tmp0 + tmp3; |
| 146 | tmp13= tmp0 - tmp3; |
| 147 | tmp11= tmp1 + tmp2; |
| 148 | tmp12= tmp1 - tmp2; |
| 149 | |
| 150 | data[8*0 + i]= lrintf(postscale[8*0 + i] * (tmp10 + tmp11)); |
| 151 | data[8*4 + i]= lrintf(postscale[8*4 + i] * (tmp10 - tmp11)); |
| 152 | |
| 153 | tmp12 += tmp13; |
| 154 | tmp12 *= A1; |
| 155 | data[8*2 + i]= lrintf(postscale[8*2 + i] * (tmp13 + tmp12)); |
| 156 | data[8*6 + i]= lrintf(postscale[8*6 + i] * (tmp13 - tmp12)); |
| 157 | |
| 158 | tmp4 += tmp5; |
| 159 | tmp5 += tmp6; |
| 160 | tmp6 += tmp7; |
| 161 | |
| 162 | #if 0 |
| 163 | { |
| 164 | FLOAT z5; |
| 165 | z5 = (tmp4 - tmp6) * A5; |
| 166 | z2 = tmp4 * A2 + z5; |
| 167 | z4 = tmp6 * A4 + z5; |
| 168 | } |
| 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(postscale[8*5 + i] * (z13 + z2)); |
| 179 | data[8*3 + i]= lrintf(postscale[8*3 + i] * (z13 - z2)); |
| 180 | data[8*1 + i]= lrintf(postscale[8*1 + i] * (z11 + z4)); |
| 181 | data[8*7 + i]= lrintf(postscale[8*7 + i] * (z11 - z4)); |
| 182 | } |
| 183 | } |
| 184 | |
| 185 | void ff_faandct248(int16_t *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(postscale[8*0 + i] * (tmp10 + tmp11)); |
| 212 | data[8*4 + i] = lrintf(postscale[8*4 + i] * (tmp10 - tmp11)); |
| 213 | |
| 214 | tmp12 += tmp13; |
| 215 | tmp12 *= A1; |
| 216 | data[8*2 + i] = lrintf(postscale[8*2 + i] * (tmp13 + tmp12)); |
| 217 | data[8*6 + i] = lrintf(postscale[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(postscale[8*0 + i] * (tmp10 + tmp11)); |
| 225 | data[8*5 + i] = lrintf(postscale[8*4 + i] * (tmp10 - tmp11)); |
| 226 | |
| 227 | tmp12 += tmp13; |
| 228 | tmp12 *= A1; |
| 229 | data[8*3 + i] = lrintf(postscale[8*2 + i] * (tmp13 + tmp12)); |
| 230 | data[8*7 + i] = lrintf(postscale[8*6 + i] * (tmp13 - tmp12)); |
| 231 | } |
| 232 | } |