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| | 1 | /* |
| | 2 | * H.274 film grain synthesis |
| | 3 | * Copyright (c) 2021 Niklas Haas <ffmpeg@haasn.xyz> |
| | 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 | /** |
| | 23 | * @file |
| | 24 | * H.274 film grain synthesis. |
| | 25 | * @author Niklas Haas <ffmpeg@haasn.xyz> |
| | 26 | */ |
| | 27 | |
| | 28 | #include "libavutil/avassert.h" |
| | 29 | #include "libavutil/imgutils.h" |
| | 30 | |
| | 31 | #include "h274.h" |
| | 32 | |
| | 33 | // The code in this file has a lot of loops that vectorize very well, this is |
| | 34 | // about a 40% speedup for no obvious downside. |
| | 35 | #pragma GCC optimize("tree-vectorize") |
| | 36 | |
| | 37 | static const int8_t Gaussian_LUT[2048+256]; |
| | 38 | static const uint32_t Seed_LUT[256]; |
| | 39 | static const int8_t R64T[64][64]; |
| | 40 | |
| | 41 | static void prng_shift(uint32_t *state) |
| | 42 | { |
| | 43 | // Primitive polynomial x^31 + x^3 + 1 (modulo 2) |
| | 44 | uint32_t x = *state; |
| | 45 | uint8_t feedback = (x >> 2) ^ (x >> 30); |
| | 46 | *state = (x << 1) | (feedback & 1u); |
| | 47 | } |
| | 48 | |
| | 49 | static void init_slice_c(int8_t out[64][64], uint8_t h, uint8_t v, |
| | 50 | int16_t tmp[64][64]) |
| | 51 | { |
| | 52 | static const uint8_t deblock_factors[13] = { |
| | 53 | 64, 71, 77, 84, 90, 96, 103, 109, 116, 122, 128, 128, 128 |
| | 54 | }; |
| | 55 | |
| | 56 | const uint8_t deblock_coeff = deblock_factors[v]; |
| | 57 | const uint8_t freq_h = ((h + 3) << 2) - 1; |
| | 58 | const uint8_t freq_v = ((v + 3) << 2) - 1; |
| | 59 | uint32_t seed = Seed_LUT[h + v * 13]; |
| | 60 | |
| | 61 | // Initialize with random gaussian values, using the output array as a |
| | 62 | // temporary buffer for these intermediate values. |
| | 63 | // |
| | 64 | // Note: To make the subsequent matrix multiplication cache friendlier, we |
| | 65 | // store each *column* of the starting image in a *row* of `out` |
| | 66 | for (int y = 0; y <= freq_v; y++) { |
| | 67 | for (int x = 0; x <= freq_h; x += 4) { |
| | 68 | uint16_t offset = seed % 2048; |
| | 69 | out[x + 0][y] = Gaussian_LUT[offset + 0]; |
| | 70 | out[x + 1][y] = Gaussian_LUT[offset + 1]; |
| | 71 | out[x + 2][y] = Gaussian_LUT[offset + 2]; |
| | 72 | out[x + 3][y] = Gaussian_LUT[offset + 3]; |
| | 73 | prng_shift(&seed); |
| | 74 | } |
| | 75 | } |
| | 76 | |
| | 77 | out[0][0] = 0; |
| | 78 | |
| | 79 | // 64x64 inverse integer transform |
| | 80 | for (int y = 0; y < 64; y++) { |
| | 81 | for (int x = 0; x < 64; x++) { |
| | 82 | int32_t sum = 0; |
| | 83 | for (int p = 0; p < 64; p++) |
| | 84 | sum += R64T[y][p] * out[x][p]; |
| | 85 | tmp[y][x] = (sum + 128) >> 8; |
| | 86 | } |
| | 87 | } |
| | 88 | |
| | 89 | for (int y = 0; y < 64; y++) { |
| | 90 | for (int x = 0; x < 64; x++) { |
| | 91 | int32_t sum = 0; |
| | 92 | for (int p = 0; p < 64; p++) |
| | 93 | sum += tmp[y][p] * R64T[x][p]; // R64T^T = R64 |
| | 94 | // Renormalize and clip to [-127, 127] |
| | 95 | out[y][x] = av_clip((sum + 128) >> 8, -127, 127); |
| | 96 | } |
| | 97 | } |
| | 98 | |
| | 99 | // Deblock horizontal edges by simple attentuation of values |
| | 100 | for (int y = 0; y < 64; y += 8) { |
| | 101 | for (int x = 0; x < 64; x++) { |
| | 102 | out[y + 0][x] = (out[y + 0][x] * deblock_coeff) >> 7; |
| | 103 | out[y + 7][x] = (out[y + 7][x] * deblock_coeff) >> 7; |
| | 104 | } |
| | 105 | } |
| | 106 | } |
| | 107 | |
| | 108 | static void init_slice(H274FilmGrainDatabase *database, uint8_t h, uint8_t v) |
| | 109 | { |
| | 110 | if (database->residency[h] & (1 << v)) |
| | 111 | return; |
| | 112 | |
| | 113 | database->residency[h] |= (1 << v); |
| | 114 | init_slice_c(database->db[h][v], h, v, database->slice_tmp); |
| | 115 | } |
| | 116 | |
| | 117 | // Computes the average of an 8x8 block, right-shifted by 6 |
| | 118 | static uint16_t avg_8x8_c(const uint8_t *in, int in_stride) |
| | 119 | { |
| | 120 | uint16_t avg[8] = {0}; // summing over an array vectorizes better |
| | 121 | |
| | 122 | for (int y = 0; y < 8; y++) { |
| | 123 | for (int x = 0; x < 8; x++) |
| | 124 | avg[x] += in[x]; |
| | 125 | in += in_stride; |
| | 126 | } |
| | 127 | |
| | 128 | return (avg[0] + avg[1] + avg[2] + avg[3] + |
| | 129 | avg[4] + avg[5] + avg[6] + avg[7]) >> 6; |
| | 130 | } |
| | 131 | |
| | 132 | // Synthesize an 8x8 block of film grain by copying the pattern from `db` |
| | 133 | static void synth_grain_8x8_c(int8_t *out, const int out_stride, |
| | 134 | const int16_t scale, const uint8_t shift, |
| | 135 | const int8_t *db) |
| | 136 | { |
| | 137 | for (int y = 0; y < 8; y++) { |
| | 138 | for (int x = 0; x < 8; x++) |
| | 139 | out[x] = (scale * db[x]) >> shift; |
| | 140 | |
| | 141 | out += out_stride; |
| | 142 | db += 64; |
| | 143 | } |
| | 144 | } |
| | 145 | |
| | 146 | // Deblock vertical edges of an 8x8 block, mixing with the previous block |
| | 147 | static void deblock_8x8_c(int8_t *out, const int out_stride) |
| | 148 | { |
| | 149 | for (int y = 0; y < 8; y++) { |
| | 150 | const int8_t l1 = out[-2], l0 = out[-1]; |
| | 151 | const int8_t r0 = out[0], r1 = out[1]; |
| | 152 | out[0] = (l0 + (r0 << 1) + r1) >> 2; |
| | 153 | out[-1] = (r0 + (l0 << 1) + l1) >> 2; |
| | 154 | out += out_stride; |
| | 155 | } |
| | 156 | } |
| | 157 | |
| | 158 | // Generates a single 8x8 block of grain, optionally also applying the |
| | 159 | // deblocking step (note that this implies writing to the previous block). |
| | 160 | static av_always_inline void generate(int8_t *out, int out_stride, |
| | 161 | const uint8_t *in, int in_stride, |
| | 162 | H274FilmGrainDatabase *database, |
| | 163 | const AVFilmGrainH274Params *h274, |
| | 164 | int c, int invert, int deblock, |
| | 165 | int y_offset, int x_offset) |
| | 166 | { |
| | 167 | const uint8_t shift = h274->log2_scale_factor + 6; |
| | 168 | const uint16_t avg = avg_8x8_c(in, in_stride); |
| | 169 | int16_t scale; |
| | 170 | uint8_t h, v; |
| | 171 | int8_t s = -1; |
| | 172 | |
| | 173 | // FIXME: This logic only generates grain with a single |
| | 174 | // intensity interval. Strictly speaking, the H.274 specification allows |
| | 175 | // for overlapping intensity intervals, however SMPTE RDD 5-2006 (which |
| | 176 | // concerns the implementation of H.274 for H.264) forbids this as it |
| | 177 | // requires a nontrivial grain synthesis process (FFT). |
| | 178 | // |
| | 179 | // In principle, we should detect this possibility ahead of time and warn |
| | 180 | // the user that the output is unlikely to be correct, or alternatively |
| | 181 | // return an AVERROR_PATCHWELCOME. |
| | 182 | for (int i = 0; i < h274->num_intensity_intervals[c]; i++) { |
| | 183 | if (avg >= h274->intensity_interval_lower_bound[c][i] && |
| | 184 | avg <= h274->intensity_interval_upper_bound[c][i]) |
| | 185 | { |
| | 186 | s = i; |
| | 187 | break; |
| | 188 | } |
| | 189 | } |
| | 190 | |
| | 191 | if (s < 0) { |
| | 192 | // No matching intensity interval, synthesize blank film grain |
| | 193 | for (int y = 0; y < 8; y++) |
| | 194 | memset(out + y * out_stride, 0, sizeof(int8_t[8])); |
| | 195 | return; |
| | 196 | } |
| | 197 | |
| | 198 | h = av_clip(h274->comp_model_value[c][s][1], 2, 14) - 2; |
| | 199 | v = av_clip(h274->comp_model_value[c][s][2], 2, 14) - 2; |
| | 200 | init_slice(database, h, v); |
| | 201 | |
| | 202 | scale = h274->comp_model_value[c][s][0]; |
| | 203 | if (invert) |
| | 204 | scale = -scale; |
| | 205 | |
| | 206 | synth_grain_8x8_c(out, out_stride, scale, shift, |
| | 207 | &database->db[h][v][y_offset][x_offset]); |
| | 208 | |
| | 209 | if (deblock) |
| | 210 | deblock_8x8_c(out, out_stride); |
| | 211 | } |
| | 212 | |
| | 213 | // Saturating 8-bit sum of a+b |
| | 214 | static void add_8x8_clip_c(uint8_t *out, const uint8_t *a, const int8_t *b, |
| | 215 | int n) |
| | 216 | { |
| | 217 | for (int i = 0; i < n; i++) |
| | 218 | out[i] = av_clip_uint8(a[i] + b[i]); |
| | 219 | } |
| | 220 | |
| | 221 | int ff_h274_apply_film_grain(AVFrame *out_frame, const AVFrame *in_frame, |
| | 222 | H274FilmGrainDatabase *database, |
| | 223 | const AVFilmGrainParams *params) |
| | 224 | { |
| | 225 | AVFilmGrainH274Params h274 = params->codec.h274; |
| | 226 | av_assert1(params->type == AV_FILM_GRAIN_PARAMS_H274); |
| | 227 | if (h274.model_id != 0) |
| | 228 | return AVERROR_PATCHWELCOME; |
| | 229 | |
| | 230 | av_assert1(out_frame->format == in_frame->format); |
| | 231 | if (in_frame->format != AV_PIX_FMT_YUV420P) |
| | 232 | return AVERROR_PATCHWELCOME; |
| | 233 | |
| | 234 | for (int c = 0; c < 3; c++) { |
| | 235 | static const uint8_t color_offset[3] = { 0, 85, 170 }; |
| | 236 | uint32_t seed = Seed_LUT[(params->seed + color_offset[c]) % 256]; |
| | 237 | const int width = c > 0 ? AV_CEIL_RSHIFT(out_frame->width, 1) : out_frame->width; |
| | 238 | const int height = c > 0 ? AV_CEIL_RSHIFT(out_frame->height, 1) : out_frame->height; |
| | 239 | |
| | 240 | uint8_t * const out = out_frame->data[c]; |
| | 241 | const int out_stride = out_frame->linesize[c]; |
| | 242 | int8_t * const grain = out_frame->data[c]; // re-use output buffer for grain |
| | 243 | const int grain_stride = out_stride; |
| | 244 | const uint8_t * const in = in_frame->data[c]; |
| | 245 | const int in_stride = in_frame->linesize[c]; |
| | 246 | |
| | 247 | if (!h274.component_model_present[c]) { |
| | 248 | av_image_copy_plane(out, out_stride, in, in_stride, |
| | 249 | width * sizeof(uint8_t), height); |
| | 250 | continue; |
| | 251 | } |
| | 252 | |
| | 253 | if (c > 0) { |
| | 254 | // Adaptation for 4:2:0 chroma subsampling |
| | 255 | for (int i = 0; i < h274.num_intensity_intervals[c]; i++) { |
| | 256 | h274.comp_model_value[c][i][0] >>= 1; |
| | 257 | h274.comp_model_value[c][i][1] <<= 1; |
| | 258 | h274.comp_model_value[c][i][2] <<= 1; |
| | 259 | } |
| | 260 | } |
| | 261 | |
| | 262 | // Film grain synthesis is done in 8x8 blocks, but the PRNG state is |
| | 263 | // only advanced in 16x16 blocks, so use a nested loop |
| | 264 | for (int y = 0; y < height; y += 16) { |
| | 265 | for (int x = 0; x < width; x += 16) { |
| | 266 | uint16_t y_offset = (seed >> 16) % 52; |
| | 267 | uint16_t x_offset = (seed & 0xFFFF) % 56; |
| | 268 | const int invert = (seed & 0x1); |
| | 269 | y_offset &= 0xFFFC; |
| | 270 | x_offset &= 0xFFF8; |
| | 271 | prng_shift(&seed); |
| | 272 | |
| | 273 | for (int yy = 0; yy < 16 && y+yy < height; yy += 8) { |
| | 274 | for (int xx = 0; xx < 16 && x+xx < width; xx += 8) { |
| | 275 | generate(grain + (y+yy) * grain_stride + (x+xx), grain_stride, |
| | 276 | in + (y+yy) * in_stride + (x+xx), in_stride, |
| | 277 | database, &h274, c, invert, (x+xx) > 0, |
| | 278 | y_offset + yy, x_offset + xx); |
| | 279 | } |
| | 280 | } |
| | 281 | } |
| | 282 | } |
| | 283 | |
| | 284 | // Final output blend pass, done after grain synthesis is complete |
| | 285 | // because deblocking depends on previous grain values |
| | 286 | for (int y = 0; y < height; y++) { |
| | 287 | add_8x8_clip_c(out + y * out_stride, in + y * in_stride, |
| | 288 | grain + y * grain_stride, width); |
| | 289 | } |
| | 290 | } |
| | 291 | |
| | 292 | return 0; |
| | 293 | } |
| | 294 | |
| | 295 | // These tables are all taken from the SMPTE RDD 5-2006 specification |
| | 296 | static const int8_t Gaussian_LUT[2048+256] = { |
| | 297 | -11, 12, 103, -11, 42, -35, 12, 59, 77, 98, -87, 3, 65, -78, 45, 56, -51, 21, |
| | 298 | 13, -11, -20, -19, 33, -127, 17, -6, -105, 18, 19, 71, 48, -10, -38, 42, |
| | 299 | -2, 75, -67, 52, -90, 33, -47, 21, -3, -56, 49, 1, -57, -42, -1, 120, -127, |
| | 300 | -108, -49, 9, 14, 127, 122, 109, 52, 127, 2, 7, 114, 19, 30, 12, 77, 112, |
| | 301 | 82, -61, -127, 111, -52, -29, 2, -49, -24, 58, -29, -73, 12, 112, 67, 79, |
| | 302 | -3, -114, -87, -6, -5, 40, 58, -81, 49, -27, -31, -34, -105, 50, 16, -24, |
| | 303 | -35, -14, -15, -127, -55, -22, -55, -127, -112, 5, -26, -72, 127, 127, -2, |
| | 304 | 41, 87, -65, -16, 55, 19, 91, -81, -65, -64, 35, -7, -54, 99, -7, 88, 125, |
| | 305 | -26, 91, 0, 63, 60, -14, -23, 113, -33, 116, 14, 26, 51, -16, 107, -8, 53, |
| | 306 | 38, -34, 17, -7, 4, -91, 6, 63, 63, -15, 39, -36, 19, 55, 17, -51, 40, 33, |
| | 307 | -37, 126, -39, -118, 17, -30, 0, 19, 98, 60, 101, -12, -73, -17, -52, 98, |
| | 308 | 3, 3, 60, 33, -3, -2, 10, -42, -106, -38, 14, 127, 16, -127, -31, -86, -39, |
| | 309 | -56, 46, -41, 75, 23, -19, -22, -70, 74, -54, -2, 32, -45, 17, -92, 59, |
| | 310 | -64, -67, 56, -102, -29, -87, -34, -92, 68, 5, -74, -61, 93, -43, 14, -26, |
| | 311 | -38, -126, -17, 16, -127, 64, 34, 31, 93, 17, -51, -59, 71, 77, 81, 127, |
| | 312 | 127, 61, 33, -106, -93, 0, 0, 75, -69, 71, 127, -19, -111, 30, 23, 15, 2, |
| | 313 | 39, 92, 5, 42, 2, -6, 38, 15, 114, -30, -37, 50, 44, 106, 27, 119, 7, -80, |
| | 314 | 25, -68, -21, 92, -11, -1, 18, 41, -50, 79, -127, -43, 127, 18, 11, -21, |
| | 315 | 32, -52, 27, -88, -90, -39, -19, -10, 24, -118, 72, -24, -44, 2, 12, 86, |
| | 316 | -107, 39, -33, -127, 47, 51, -24, -22, 46, 0, 15, -35, -69, -2, -74, 24, |
| | 317 | -6, 0, 29, -3, 45, 32, -32, 117, -45, 79, -24, -17, -109, -10, -70, 88, |
| | 318 | -48, 24, -91, 120, -37, 50, -127, 58, 32, -82, -10, -17, -7, 46, -127, -15, |
| | 319 | 89, 127, 17, 98, -39, -33, 37, 42, -40, -32, -21, 105, -19, 19, 19, -59, |
| | 320 | -9, 30, 0, -127, 34, 127, -84, 75, 24, -40, -49, -127, -107, -14, 45, -75, |
| | 321 | 1, 30, -20, 41, -68, -40, 12, 127, -3, 5, 20, -73, -59, -127, -3, -3, -53, |
| | 322 | -6, -119, 93, 120, -80, -50, 0, 20, -46, 67, 78, -12, -22, -127, 36, -41, |
| | 323 | 56, 119, -5, -116, -22, 68, -14, -90, 24, -82, -44, -127, 107, -25, -37, |
| | 324 | 40, -7, -7, -82, 5, -87, 44, -34, 9, -127, 39, 70, 49, -63, 74, -49, 109, |
| | 325 | -27, -89, -47, -39, 44, 49, -4, 60, -42, 80, 9, -127, -9, -56, -49, 125, |
| | 326 | -66, 47, 36, 117, 15, -11, -96, 109, 94, -17, -56, 70, 8, -14, -5, 50, 37, |
| | 327 | -45, 120, -30, -76, 40, -46, 6, 3, 69, 17, -78, 1, -79, 6, 127, 43, 26, |
| | 328 | 127, -127, 28, -55, -26, 55, 112, 48, 107, -1, -77, -1, 53, -9, -22, -43, |
| | 329 | 123, 108, 127, 102, 68, 46, 5, 1, 123, -13, -55, -34, -49, 89, 65, -105, |
| | 330 | -5, 94, -53, 62, 45, 30, 46, 18, -35, 15, 41, 47, -98, -24, 94, -75, 127, |
| | 331 | -114, 127, -68, 1, -17, 51, -95, 47, 12, 34, -45, -75, 89, -107, -9, -58, |
| | 332 | -29, -109, -24, 127, -61, -13, 77, -45, 17, 19, 83, -24, 9, 127, -66, 54, |
| | 333 | 4, 26, 13, 111, 43, -113, -22, 10, -24, 83, 67, -14, 75, -123, 59, 127, |
| | 334 | -12, 99, -19, 64, -38, 54, 9, 7, 61, -56, 3, -57, 113, -104, -59, 3, -9, |
| | 335 | -47, 74, 85, -55, -34, 12, 118, 28, 93, -72, 13, -99, -72, -20, 30, 72, |
| | 336 | -94, 19, -54, 64, -12, -63, -25, 65, 72, -10, 127, 0, -127, 103, -20, -73, |
| | 337 | -112, -103, -6, 28, -42, -21, -59, -29, -26, 19, -4, -51, 94, -58, -95, |
| | 338 | -37, 35, 20, -69, 127, -19, -127, -22, -120, -53, 37, 74, -127, -1, -12, |
| | 339 | -119, -53, -28, 38, 69, 17, 16, -114, 89, 62, 24, 37, -23, 49, -101, -32, |
| | 340 | -9, -95, -53, 5, 93, -23, -49, -8, 51, 3, -75, -90, -10, -39, 127, -86, |
| | 341 | -22, 20, 20, 113, 75, 52, -31, 92, -63, 7, -12, 46, 36, 101, -43, -17, -53, |
| | 342 | -7, -38, -76, -31, -21, 62, 31, 62, 20, -127, 31, 64, 36, 102, -85, -10, |
| | 343 | 77, 80, 58, -79, -8, 35, 8, 80, -24, -9, 3, -17, 72, 127, 83, -87, 55, 18, |
| | 344 | -119, -123, 36, 10, 127, 56, -55, 113, 13, 26, 32, -13, -48, 22, -13, 5, |
| | 345 | 58, 27, 24, 26, -11, -36, 37, -92, 78, 81, 9, 51, 14, 67, -13, 0, 32, 45, |
| | 346 | -76, 32, -39, -22, -49, -127, -27, 31, -9, 36, 14, 71, 13, 57, 12, -53, |
| | 347 | -86, 53, -44, -35, 2, 127, 12, -66, -44, 46, -115, 3, 10, 56, -35, 119, |
| | 348 | -19, -61, 52, -59, -127, -49, -23, 4, -5, 17, -82, -6, 127, 25, 79, 67, 64, |
| | 349 | -25, 14, -64, -37, -127, -28, 21, -63, 66, -53, -41, 109, -62, 15, -22, 13, |
| | 350 | 29, -63, 20, 27, 95, -44, -59, -116, -10, 79, -49, 22, -43, -16, 46, -47, |
| | 351 | -120, -36, -29, -52, -44, 29, 127, -13, 49, -9, -127, 75, -28, -23, 88, 59, |
| | 352 | 11, -95, 81, -59, 58, 60, -26, 40, -92, -3, -22, -58, -45, -59, -22, -53, |
| | 353 | 71, -29, 66, -32, -23, 14, -17, -66, -24, -28, -62, 47, 38, 17, 16, -37, |
| | 354 | -24, -11, 8, -27, -19, 59, 45, -49, -47, -4, -22, -81, 30, -67, -127, 74, |
| | 355 | 102, 5, -18, 98, 34, -66, 42, -52, 7, -59, 24, -58, -19, -24, -118, -73, |
| | 356 | 91, 15, -16, 79, -32, -79, -127, -36, 41, 77, -83, 2, 56, 22, -75, 127, |
| | 357 | -16, -21, 12, 31, 56, -113, -127, 90, 55, 61, 12, 55, -14, -113, -14, 32, |
| | 358 | 49, -67, -17, 91, -10, 1, 21, 69, -70, 99, -19, -112, 66, -90, -10, -9, |
| | 359 | -71, 127, 50, -81, -49, 24, 61, -61, -111, 7, -41, 127, 88, -66, 108, -127, |
| | 360 | -6, 36, -14, 41, -50, 14, 14, 73, -101, -28, 77, 127, -8, -100, 88, 38, |
| | 361 | 121, 88, -125, -60, 13, -94, -115, 20, -67, -87, -94, -119, 44, -28, -30, |
| | 362 | 18, 5, -53, -61, 20, -43, 11, -77, -60, 13, 29, 3, 6, -72, 38, -60, -11, |
| | 363 | 108, -53, 41, 66, -12, -127, -127, -49, 24, 29, 46, 36, 91, 34, -33, 116, |
| | 364 | -51, -34, -52, 91, 7, -83, 73, -26, -103, 24, -10, 76, 84, 5, 68, -80, -13, |
| | 365 | -17, -32, -48, 20, 50, 26, 10, 63, -104, -14, 37, 127, 114, 97, 35, 1, -33, |
| | 366 | -55, 127, -124, -33, 61, -7, 119, -32, -127, -53, -42, 63, 3, -5, -26, 70, |
| | 367 | -58, -33, -44, -43, 34, -56, -127, 127, 25, -35, -11, 16, -81, 29, -58, 40, |
| | 368 | -127, -127, 20, -47, -11, -36, -63, -52, -32, -82, 78, -76, -73, 8, 27, |
| | 369 | -72, -9, -74, -85, -86, -57, 25, 78, -10, -97, 35, -65, 8, -59, 14, 1, -42, |
| | 370 | 32, -88, -44, 17, -3, -9, 59, 40, 12, -108, -40, 24, 34, 18, -28, 2, 51, |
| | 371 | -110, -4, 100, 1, 65, 22, 0, 127, 61, 45, 25, -31, 6, 9, -7, -48, 99, 16, |
| | 372 | 44, -2, -40, 32, -39, -52, 10, -110, -19, 56, -127, 69, 26, 51, 92, 40, 61, |
| | 373 | -52, 45, -38, 13, 85, 122, 27, 66, 45, -111, -83, -3, 31, 37, 19, -36, 58, |
| | 374 | 71, 39, -78, -47, 58, -78, 8, -62, -36, -14, 61, 42, -127, 71, -4, 24, -54, |
| | 375 | 52, -127, 67, -4, -42, 30, -63, 59, -3, -1, -18, -46, -92, -81, -96, -14, |
| | 376 | -53, -10, -11, -77, 13, 1, 8, -67, -127, 127, -28, 26, -14, 18, -13, -26, |
| | 377 | 2, 10, -46, -32, -15, 27, -31, -59, 59, 77, -121, 28, 40, -54, -62, -31, |
| | 378 | -21, -37, -32, -6, -127, -25, -60, 70, -127, 112, -127, 127, 88, -7, 116, |
| | 379 | 110, 53, 87, -127, 3, 16, 23, 74, -106, -51, 3, 74, -82, -112, -74, 65, 81, |
| | 380 | 25, 53, 127, -45, -50, -103, -41, -65, -29, 79, -67, 64, -33, -30, -8, 127, |
| | 381 | 0, -13, -51, 67, -14, 5, -92, 29, -35, -8, -90, -57, -3, 36, 43, 44, -31, |
| | 382 | -69, -7, 36, 39, -51, 43, -81, 58, 6, 127, 12, 57, 66, 46, 59, -43, -42, |
| | 383 | 41, -15, -120, 24, 3, -11, 19, -13, 51, 28, 3, 55, -48, -12, -1, 2, 97, |
| | 384 | -19, 29, 42, 13, 43, 78, -44, 56, -108, -43, -19, 127, 15, -11, -18, -81, |
| | 385 | 83, -37, 77, -109, 15, 65, -50, 43, 12, 13, 27, 28, 61, 57, 30, 26, 106, |
| | 386 | -18, 56, 13, 97, 4, -8, -62, -103, 94, 108, -44, 52, 27, -47, -9, 105, -53, |
| | 387 | 46, 89, 103, -33, 38, -34, 55, 51, 70, -94, -35, -87, -107, -19, -31, 9, |
| | 388 | -19, 79, -14, 77, 5, -19, -107, 85, 21, -45, -39, -42, 9, -29, 74, 47, -75, |
| | 389 | 60, -127, 120, -112, -57, -32, 41, 7, 79, 76, 66, 57, 41, -25, 31, 37, -47, |
| | 390 | -36, 43, -73, -37, 63, 127, -69, -52, 90, -33, -61, 60, -55, 44, 15, 4, |
| | 391 | -67, 13, -92, 64, 29, -39, -3, 83, -2, -38, -85, -86, 58, 35, -69, -61, 29, |
| | 392 | -37, -95, -78, 4, 30, -4, -32, -80, -22, -9, -77, 46, 7, -93, -71, 65, 9, |
| | 393 | -50, 127, -70, 26, -12, -39, -114, 63, -127, -100, 4, -32, 111, 22, -60, |
| | 394 | 65, -101, 26, -42, 21, -59, -27, -74, 2, -94, 6, 126, 5, 76, -88, -9, -43, |
| | 395 | -101, 127, 1, 125, 92, -63, 52, 56, 4, 81, -127, 127, 80, 127, -29, 30, |
| | 396 | 116, -74, -17, -57, 105, 48, 45, 25, -72, 48, -38, -108, 31, -34, 4, -11, |
| | 397 | 41, -127, 52, -104, -43, -37, 52, 2, 47, 87, -9, 77, 27, -41, -25, 90, 86, |
| | 398 | -56, 75, 10, 33, 78, 58, 127, 127, -7, -73, 49, -33, -106, -35, 38, 57, 53, |
| | 399 | -17, -4, 83, 52, -108, 54, -125, 28, 23, 56, -43, -88, -17, -6, 47, 23, -9, |
| | 400 | 0, -13, 111, 75, 27, -52, -38, -34, 39, 30, 66, 39, 38, -64, 38, 3, 21, |
| | 401 | -32, -51, -28, 54, -38, -87, 20, 52, 115, 18, -81, -70, 0, -14, -46, -46, |
| | 402 | -3, 125, 16, -14, 23, -82, -84, -69, -20, -65, -127, 9, 81, -49, 61, 7, |
| | 403 | -36, -45, -42, 57, -26, 47, 20, -85, 46, -13, 41, -37, -75, -60, 86, -78, |
| | 404 | -127, 12, 50, 2, -3, 13, 47, 5, 19, -78, -55, -27, 65, -71, 12, -108, 20, |
| | 405 | -16, 11, -31, 63, -55, 37, 75, -17, 127, -73, -33, -28, -120, 105, 68, 106, |
| | 406 | -103, -106, 71, 61, 2, 23, -3, 33, -5, -15, -67, -15, -23, -54, 15, -63, |
| | 407 | 76, 58, -110, 1, 83, -27, 22, 75, -39, -17, -11, 64, -17, -127, -54, -66, |
| | 408 | 31, 96, 116, 3, -114, -7, -108, -63, 97, 9, 50, 8, 75, -28, 72, 112, -36, |
| | 409 | -112, 95, -50, 23, -13, -19, 55, 21, 23, 92, 91, 22, -49, 16, -75, 23, 9, |
| | 410 | -49, -97, -37, 49, -36, 36, -127, -86, 43, 127, -24, -24, 84, 83, -35, -34, |
| | 411 | -12, 109, 102, -38, 51, -68, 34, 19, -22, 49, -32, 127, 40, 24, -93, -4, |
| | 412 | -3, 105, 3, -58, -18, 8, 127, -18, 125, 68, 69, -62, 30, -36, 54, -57, -24, |
| | 413 | 17, 43, -36, -27, -57, -67, -21, -10, -49, 68, 12, 65, 4, 48, 55, 127, -75, |
| | 414 | 44, 89, -66, -13, -78, -82, -91, 22, 30, 33, -40, -87, -34, 96, -91, 39, |
| | 415 | 10, -64, -3, -12, 127, -50, -37, -56, 23, -35, -36, -54, 90, -91, 2, 50, |
| | 416 | 77, -6, -127, 16, 46, -5, -73, 0, -56, -18, -72, 28, 93, 60, 49, 20, 18, |
| | 417 | 111, -111, 32, -83, 47, 47, -10, 35, -88, 43, 57, -98, 127, -17, 0, 1, -39, |
| | 418 | -127, -2, 0, 63, 93, 0, 36, -66, -61, -19, 39, -127, 58, 50, -17, 127, 88, |
| | 419 | -43, -108, -51, -16, 7, -36, 68, 46, -14, 107, 40, 57, 7, 19, 8, 3, 88, |
| | 420 | -90, -92, -18, -21, -24, 13, 7, -4, -78, -91, -4, 8, -35, -5, 19, 2, -111, |
| | 421 | 4, -66, -81, 122, -20, -34, -37, -84, 127, 68, 46, 17, 47, |
| | 422 | |
| | 423 | // Repeat the beginning of the array to allow wrapping reads |
| | 424 | -11, 12, 103, -11, 42, -35, 12, 59, 77, 98, -87, 3, 65, -78, 45, 56, -51, 21, |
| | 425 | 13, -11, -20, -19, 33, -127, 17, -6, -105, 18, 19, 71, 48, -10, -38, 42, |
| | 426 | -2, 75, -67, 52, -90, 33, -47, 21, -3, -56, 49, 1, -57, -42, -1, 120, -127, |
| | 427 | -108, -49, 9, 14, 127, 122, 109, 52, 127, 2, 7, 114, 19, 30, 12, 77, 112, |
| | 428 | 82, -61, -127, 111, -52, -29, 2, -49, -24, 58, -29, -73, 12, 112, 67, 79, |
| | 429 | -3, -114, -87, -6, -5, 40, 58, -81, 49, -27, -31, -34, -105, 50, 16, -24, |
| | 430 | -35, -14, -15, -127, -55, -22, -55, -127, -112, 5, -26, -72, 127, 127, -2, |
| | 431 | 41, 87, -65, -16, 55, 19, 91, -81, -65, -64, 35, -7, -54, 99, -7, 88, 125, |
| | 432 | -26, 91, 0, 63, 60, -14, -23, 113, -33, 116, 14, 26, 51, -16, 107, -8, 53, |
| | 433 | 38, -34, 17, -7, 4, -91, 6, 63, 63, -15, 39, -36, 19, 55, 17, -51, 40, 33, |
| | 434 | -37, 126, -39, -118, 17, -30, 0, 19, 98, 60, 101, -12, -73, -17, -52, 98, |
| | 435 | 3, 3, 60, 33, -3, -2, 10, -42, -106, -38, 14, 127, 16, -127, -31, -86, -39, |
| | 436 | -56, 46, -41, 75, 23, -19, -22, -70, 74, -54, -2, 32, -45, 17, -92, 59, |
| | 437 | -64, -67, 56, -102, -29, -87, -34, -92, 68, 5, -74, -61, 93, -43, 14, -26, |
| | 438 | -38, -126, -17, 16, -127, 64, 34, 31, 93, 17, -51, -59, 71, 77, 81, 127, |
| | 439 | 127, 61, 33, -106, -93, 0, 0, 75, |
| | 440 | }; |
| | 441 | |
| | 442 | static const uint32_t Seed_LUT[256] = { |
| | 443 | 747538460, 1088979410, 1744950180, 1767011913, 1403382928, |
| | 444 | 521866116, 1060417601, 2110622736, 1557184770, 105289385, 585624216, |
| | 445 | 1827676546, 1191843873, 1018104344, 1123590530, 663361569, 2023850500, |
| | 446 | 76561770, 1226763489, 80325252, 1992581442, 502705249, 740409860, |
| | 447 | 516219202, 557974537, 1883843076, 720112066, 1640137737, 1820967556, |
| | 448 | 40667586, 155354121, 1820967557, 1115949072, 1631803309, 98284748, |
| | 449 | 287433856, 2119719977, 988742797, 1827432592, 579378475, 1017745956, |
| | 450 | 1309377032, 1316535465, 2074315269, 1923385360, 209722667, 1546228260, |
| | 451 | 168102420, 135274561, 355958469, 248291472, 2127839491, 146920100, |
| | 452 | 585982612, 1611702337, 696506029, 1386498192, 1258072451, 1212240548, |
| | 453 | 1043171860, 1217404993, 1090770605, 1386498193, 169093201, 541098240, |
| | 454 | 1468005469, 456510673, 1578687785, 1838217424, 2010752065, 2089828354, |
| | 455 | 1362717428, 970073673, 854129835, 714793201, 1266069081, 1047060864, |
| | 456 | 1991471829, 1098097741, 913883585, 1669598224, 1337918685, 1219264706, |
| | 457 | 1799741108, 1834116681, 683417731, 1120274457, 1073098457, 1648396544, |
| | 458 | 176642749, 31171789, 718317889, 1266977808, 1400892508, 549749008, |
| | 459 | 1808010512, 67112961, 1005669825, 903663673, 1771104465, 1277749632, |
| | 460 | 1229754427, 950632997, 1979371465, 2074373264, 305357524, 1049387408, |
| | 461 | 1171033360, 1686114305, 2147468765, 1941195985, 117709841, 809550080, |
| | 462 | 991480851, 1816248997, 1561503561, 329575568, 780651196, 1659144592, |
| | 463 | 1910793616, 604016641, 1665084765, 1530186961, 1870928913, 809550081, |
| | 464 | 2079346113, 71307521, 876663040, 1073807360, 832356664, 1573927377, |
| | 465 | 204073344, 2026918147, 1702476788, 2043881033, 57949587, 2001393952, |
| | 466 | 1197426649, 1186508931, 332056865, 950043140, 890043474, 349099312, |
| | 467 | 148914948, 236204097, 2022643605, 1441981517, 498130129, 1443421481, |
| | 468 | 924216797, 1817491777, 1913146664, 1411989632, 929068432, 495735097, |
| | 469 | 1684636033, 1284520017, 432816184, 1344884865, 210843729, 676364544, |
| | 470 | 234449232, 12112337, 1350619139, 1753272996, 2037118872, 1408560528, |
| | 471 | 533334916, 1043640385, 357326099, 201376421, 110375493, 541106497, |
| | 472 | 416159637, 242512193, 777294080, 1614872576, 1535546636, 870600145, |
| | 473 | 910810409, 1821440209, 1605432464, 1145147393, 951695441, 1758494976, |
| | 474 | 1506656568, 1557150160, 608221521, 1073840384, 217672017, 684818688, |
| | 475 | 1750138880, 16777217, 677990609, 953274371, 1770050213, 1359128393, |
| | 476 | 1797602707, 1984616737, 1865815816, 2120835200, 2051677060, 1772234061, |
| | 477 | 1579794881, 1652821009, 1742099468, 1887260865, 46468113, 1011925248, |
| | 478 | 1134107920, 881643832, 1354774993, 472508800, 1892499769, 1752793472, |
| | 479 | 1962502272, 687898625, 883538000, 1354355153, 1761673473, 944820481, |
| | 480 | 2020102353, 22020353, 961597696, 1342242816, 964808962, 1355809701, |
| | 481 | 17016649, 1386540177, 647682692, 1849012289, 751668241, 1557184768, |
| | 482 | 127374604, 1927564752, 1045744913, 1614921984, 43588881, 1016185088, |
| | 483 | 1544617984, 1090519041, 136122424, 215038417, 1563027841, 2026918145, |
| | 484 | 1688778833, 701530369, 1372639488, 1342242817, 2036945104, 953274369, |
| | 485 | 1750192384, 16842753, 964808960, 1359020032, 1358954497 |
| | 486 | }; |
| | 487 | |
| | 488 | // Note: This is pre-transposed, i.e. stored column-major order |
| | 489 | static const int8_t R64T[64][64] = { |
| | 490 | { |
| | 491 | 32, 45, 45, 45, 45, 45, 45, 45, 44, 44, 44, 44, 43, 43, 43, 42, |
| | 492 | 42, 41, 41, 40, 40, 39, 39, 38, 38, 37, 36, 36, 35, 34, 34, 33, |
| | 493 | 32, 31, 30, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, |
| | 494 | 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 4, 3, 2, 1, |
| | 495 | }, { |
| | 496 | 32, 45, 45, 44, 43, 42, 41, 39, 38, 36, 34, 31, 29, 26, 23, 20, |
| | 497 | 17, 14, 11, 8, 4, 1, -2, -6, -9, -12, -15, -18, -21, -24, -27, -30, |
| | 498 | -32, -34, -36, -38, -40, -41, -43, -44, -44, -45, -45, -45, -45, -45, -44, -43, |
| | 499 | -42, -40, -39, -37, -35, -33, -30, -28, -25, -22, -19, -16, -13, -10, -7, -3, |
| | 500 | }, { |
| | 501 | 32, 45, 44, 42, 40, 37, 34, 30, 25, 20, 15, 10, 4, -1, -7, -12, |
| | 502 | -17, -22, -27, -31, -35, -38, -41, -43, -44, -45, -45, -45, -43, -41, -39, -36, |
| | 503 | -32, -28, -23, -18, -13, -8, -2, 3, 9, 14, 19, 24, 29, 33, 36, 39, |
| | 504 | 42, 44, 45, 45, 45, 44, 43, 40, 38, 34, 30, 26, 21, 16, 11, 6, |
| | 505 | }, { |
| | 506 | 32, 45, 43, 39, 35, 30, 23, 16, 9, 1, -7, -14, -21, -28, -34, -38, |
| | 507 | -42, -44, -45, -45, -43, -40, -36, -31, -25, -18, -11, -3, 4, 12, 19, 26, |
| | 508 | 32, 37, 41, 44, 45, 45, 44, 41, 38, 33, 27, 20, 13, 6, -2, -10, |
| | 509 | -17, -24, -30, -36, -40, -43, -45, -45, -44, -42, -39, -34, -29, -22, -15, -8, |
| | 510 | }, { |
| | 511 | 32, 44, 41, 36, 29, 20, 11, 1, -9, -18, -27, -34, -40, -44, -45, -45, |
| | 512 | -42, -37, -30, -22, -13, -3, 7, 16, 25, 33, 39, 43, 45, 45, 43, 38, |
| | 513 | 32, 24, 15, 6, -4, -14, -23, -31, -38, -42, -45, -45, -43, -39, -34, -26, |
| | 514 | -17, -8, 2, 12, 21, 30, 36, 41, 44, 45, 44, 40, 35, 28, 19, 10, |
| | 515 | }, { |
| | 516 | 32, 44, 39, 31, 21, 10, -2, -14, -25, -34, -41, -45, -45, -42, -36, -28, |
| | 517 | -17, -6, 7, 18, 29, 37, 43, 45, 44, 40, 34, 24, 13, 1, -11, -22, |
| | 518 | -32, -39, -44, -45, -43, -38, -30, -20, -9, 3, 15, 26, 35, 41, 45, 45, |
| | 519 | 42, 36, 27, 16, 4, -8, -19, -30, -38, -43, -45, -44, -40, -33, -23, -12, |
| | 520 | }, { |
| | 521 | 32, 43, 36, 26, 13, -1, -15, -28, -38, -44, -45, -42, -35, -24, -11, 3, |
| | 522 | 17, 30, 39, 44, 45, 41, 34, 22, 9, -6, -19, -31, -40, -45, -45, -40, |
| | 523 | -32, -20, -7, 8, 21, 33, 41, 45, 44, 39, 30, 18, 4, -10, -23, -34, |
| | 524 | -42, -45, -44, -38, -29, -16, -2, 12, 25, 36, 43, 45, 43, 37, 27, 14, |
| | 525 | }, { |
| | 526 | 32, 42, 34, 20, 4, -12, -27, -38, -44, -45, -39, -28, -13, 3, 19, 33, |
| | 527 | 42, 45, 43, 34, 21, 6, -11, -26, -38, -44, -45, -39, -29, -14, 2, 18, |
| | 528 | 32, 41, 45, 43, 35, 22, 7, -10, -25, -37, -44, -45, -40, -30, -15, 1, |
| | 529 | 17, 31, 41, 45, 43, 36, 23, 8, -9, -24, -36, -44, -45, -40, -30, -16, |
| | 530 | }, { |
| | 531 | 32, 41, 30, 14, -4, -22, -36, -44, -44, -37, -23, -6, 13, 30, 41, 45, |
| | 532 | 42, 31, 15, -3, -21, -36, -44, -45, -38, -24, -7, 12, 29, 40, 45, 42, |
| | 533 | 32, 16, -2, -20, -35, -44, -45, -38, -25, -8, 11, 28, 40, 45, 43, 33, |
| | 534 | 17, -1, -19, -34, -43, -45, -39, -26, -9, 10, 27, 39, 45, 43, 34, 18, |
| | 535 | }, { |
| | 536 | 32, 40, 27, 8, -13, -31, -43, -45, -38, -22, -2, 18, 35, 44, 44, 34, |
| | 537 | 17, -3, -23, -38, -45, -42, -30, -12, 9, 28, 41, 45, 40, 26, 7, -14, |
| | 538 | -32, -43, -45, -37, -21, -1, 19, 36, 44, 44, 34, 16, -4, -24, -39, -45, |
| | 539 | -42, -30, -11, 10, 29, 41, 45, 39, 25, 6, -15, -33, -43, -45, -36, -20, |
| | 540 | }, { |
| | 541 | 32, 39, 23, 1, -21, -38, -45, -40, -25, -3, 19, 37, 45, 41, 27, 6, |
| | 542 | -17, -36, -45, -42, -29, -8, 15, 34, 44, 43, 30, 10, -13, -33, -44, -44, |
| | 543 | -32, -12, 11, 31, 43, 44, 34, 14, -9, -30, -43, -45, -35, -16, 7, 28, |
| | 544 | 42, 45, 36, 18, -4, -26, -41, -45, -38, -20, 2, 24, 40, 45, 39, 22, |
| | 545 | }, { |
| | 546 | 32, 38, 19, -6, -29, -43, -44, -31, -9, 16, 36, 45, 40, 22, -2, -26, |
| | 547 | -42, -45, -34, -12, 13, 34, 45, 41, 25, 1, -23, -40, -45, -36, -15, 10, |
| | 548 | 32, 44, 43, 28, 4, -20, -39, -45, -38, -18, 7, 30, 43, 44, 30, 8, |
| | 549 | -17, -37, -45, -39, -21, 3, 27, 42, 44, 33, 11, -14, -35, -45, -41, -24, |
| | 550 | }, { |
| | 551 | 32, 37, 15, -12, -35, -45, -39, -18, 9, 33, 45, 40, 21, -6, -30, -44, |
| | 552 | -42, -24, 2, 28, 43, 43, 27, 1, -25, -42, -44, -30, -4, 22, 41, 45, |
| | 553 | 32, 8, -19, -39, -45, -34, -11, 16, 38, 45, 36, 14, -13, -36, -45, -38, |
| | 554 | -17, 10, 34, 45, 40, 20, -7, -31, -44, -41, -23, 3, 29, 44, 43, 26, |
| | 555 | }, { |
| | 556 | 32, 36, 11, -18, -40, -45, -30, -3, 25, 43, 43, 24, -4, -31, -45, -39, |
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