| /* |
| * AOM film grain synthesis |
| * Copyright (c) 2023 Niklas Haas <ffmpeg@haasn.xyz> |
| * |
| * This file is part of FFmpeg. |
| * |
| * FFmpeg is free software; you can redistribute it and/or |
| * modify it under the terms of the GNU Lesser General Public |
| * License as published by the Free Software Foundation; either |
| * version 2.1 of the License, or (at your option) any later version. |
| * |
| * FFmpeg is distributed in the hope that it will be useful, |
| * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| * Lesser General Public License for more details. |
| * |
| * You should have received a copy of the GNU Lesser General Public |
| * License along with FFmpeg; if not, write to the Free Software |
| * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
| */ |
| |
| /** |
| * @file |
| * AOM film grain synthesis. |
| * @author Niklas Haas <ffmpeg@haasn.xyz> |
| */ |
| |
| #include "libavutil/avassert.h" |
| #include "libavutil/imgutils.h" |
| |
| #include "aom_film_grain.h" |
| #include "get_bits.h" |
| |
| // Common/shared helpers (not dependent on BIT_DEPTH) |
| static inline int get_random_number(const int bits, unsigned *const state) { |
| const int r = *state; |
| unsigned bit = ((r >> 0) ^ (r >> 1) ^ (r >> 3) ^ (r >> 12)) & 1; |
| *state = (r >> 1) | (bit << 15); |
| |
| return (*state >> (16 - bits)) & ((1 << bits) - 1); |
| } |
| |
| static inline int round2(const int x, const uint64_t shift) { |
| return (x + ((1 << shift) >> 1)) >> shift; |
| } |
| |
| enum { |
| GRAIN_WIDTH = 82, |
| GRAIN_HEIGHT = 73, |
| SUB_GRAIN_WIDTH = 44, |
| SUB_GRAIN_HEIGHT = 38, |
| FG_BLOCK_SIZE = 32, |
| }; |
| |
| static const int16_t gaussian_sequence[2048]; |
| |
| #define BIT_DEPTH 16 |
| #include "aom_film_grain_template.c" |
| #undef BIT_DEPTH |
| |
| #define BIT_DEPTH 8 |
| #include "aom_film_grain_template.c" |
| #undef BIT_DEPTH |
| |
| |
| int ff_aom_apply_film_grain(AVFrame *out, const AVFrame *in, |
| const AVFilmGrainParams *params) |
| { |
| const AVFilmGrainAOMParams *const data = ¶ms->codec.aom; |
| const AVPixFmtDescriptor *desc = av_pix_fmt_desc_get(out->format); |
| const int subx = desc->log2_chroma_w, suby = desc->log2_chroma_h; |
| const int pxstep = desc->comp[0].step; |
| |
| av_assert0(out->format == in->format); |
| av_assert0(params->type == AV_FILM_GRAIN_PARAMS_AV1); |
| |
| // Copy over the non-modified planes |
| if (!params->codec.aom.num_y_points) { |
| av_image_copy_plane(out->data[0], out->linesize[0], |
| in->data[0], in->linesize[0], |
| out->width * pxstep, out->height); |
| } |
| for (int uv = 0; uv < 2; uv++) { |
| if (!data->num_uv_points[uv]) { |
| av_image_copy_plane(out->data[1+uv], out->linesize[1+uv], |
| in->data[1+uv], in->linesize[1+uv], |
| AV_CEIL_RSHIFT(out->width, subx) * pxstep, |
| AV_CEIL_RSHIFT(out->height, suby)); |
| } |
| } |
| |
| switch (in->format) { |
| case AV_PIX_FMT_GRAY8: |
| case AV_PIX_FMT_YUV420P: |
| case AV_PIX_FMT_YUV422P: |
| case AV_PIX_FMT_YUV444P: |
| case AV_PIX_FMT_YUVJ420P: |
| case AV_PIX_FMT_YUVJ422P: |
| case AV_PIX_FMT_YUVJ444P: |
| return apply_film_grain_8(out, in, params); |
| case AV_PIX_FMT_GRAY9: |
| case AV_PIX_FMT_YUV420P9: |
| case AV_PIX_FMT_YUV422P9: |
| case AV_PIX_FMT_YUV444P9: |
| return apply_film_grain_16(out, in, params, 9); |
| case AV_PIX_FMT_GRAY10: |
| case AV_PIX_FMT_YUV420P10: |
| case AV_PIX_FMT_YUV422P10: |
| case AV_PIX_FMT_YUV444P10: |
| return apply_film_grain_16(out, in, params, 10); |
| case AV_PIX_FMT_GRAY12: |
| case AV_PIX_FMT_YUV420P12: |
| case AV_PIX_FMT_YUV422P12: |
| case AV_PIX_FMT_YUV444P12: |
| return apply_film_grain_16(out, in, params, 12); |
| } |
| |
| /* The AV1 spec only defines film grain synthesis for these formats */ |
| return AVERROR_INVALIDDATA; |
| } |
| |
| int ff_aom_parse_film_grain_sets(AVFilmGrainAFGS1Params *s, |
| const uint8_t *payload, int payload_size) |
| { |
| GetBitContext gbc, *gb = &gbc; |
| AVFilmGrainAOMParams *aom; |
| AVFilmGrainParams *fgp, *ref = NULL; |
| int ret, num_sets, n, i, uv, num_y_coeffs, update_grain, luma_only; |
| |
| ret = init_get_bits8(gb, payload, payload_size); |
| if (ret < 0) |
| return ret; |
| |
| s->enable = get_bits1(gb); |
| if (!s->enable) |
| return 0; |
| |
| skip_bits(gb, 4); // reserved |
| num_sets = get_bits(gb, 3) + 1; |
| for (n = 0; n < num_sets; n++) { |
| int payload_4byte, payload_size, set_idx, apply_units_log2, vsc_flag; |
| int predict_scaling, predict_y_scaling, predict_uv_scaling[2]; |
| int payload_bits, start_position; |
| |
| start_position = get_bits_count(gb); |
| payload_4byte = get_bits1(gb); |
| payload_size = get_bits(gb, payload_4byte ? 2 : 8); |
| set_idx = get_bits(gb, 3); |
| fgp = &s->sets[set_idx]; |
| aom = &fgp->codec.aom; |
| |
| fgp->type = get_bits1(gb) ? AV_FILM_GRAIN_PARAMS_AV1 : AV_FILM_GRAIN_PARAMS_NONE; |
| if (!fgp->type) |
| continue; |
| |
| fgp->seed = get_bits(gb, 16); |
| update_grain = get_bits1(gb); |
| if (!update_grain) |
| continue; |
| |
| apply_units_log2 = get_bits(gb, 4); |
| fgp->width = get_bits(gb, 12) << apply_units_log2; |
| fgp->height = get_bits(gb, 12) << apply_units_log2; |
| luma_only = get_bits1(gb); |
| if (luma_only) { |
| fgp->subsampling_x = fgp->subsampling_y = 0; |
| } else { |
| fgp->subsampling_x = get_bits1(gb); |
| fgp->subsampling_y = get_bits1(gb); |
| } |
| |
| fgp->bit_depth_luma = fgp->bit_depth_chroma = 0; |
| fgp->color_primaries = AVCOL_PRI_UNSPECIFIED; |
| fgp->color_trc = AVCOL_TRC_UNSPECIFIED; |
| fgp->color_space = AVCOL_SPC_UNSPECIFIED; |
| fgp->color_range = AVCOL_RANGE_UNSPECIFIED; |
| |
| vsc_flag = get_bits1(gb); // video_signal_characteristics_flag |
| if (vsc_flag) { |
| int cicp_flag; |
| fgp->bit_depth_luma = get_bits(gb, 3) + 8; |
| if (!luma_only) |
| fgp->bit_depth_chroma = fgp->bit_depth_luma; |
| cicp_flag = get_bits1(gb); |
| if (cicp_flag) { |
| fgp->color_primaries = get_bits(gb, 8); |
| fgp->color_trc = get_bits(gb, 8); |
| fgp->color_space = get_bits(gb, 8); |
| fgp->color_range = get_bits1(gb) ? AVCOL_RANGE_JPEG : AVCOL_RANGE_MPEG; |
| if (fgp->color_primaries > AVCOL_PRI_NB || |
| fgp->color_primaries == AVCOL_PRI_RESERVED || |
| fgp->color_primaries == AVCOL_PRI_RESERVED0 || |
| fgp->color_trc > AVCOL_TRC_NB || |
| fgp->color_trc == AVCOL_TRC_RESERVED || |
| fgp->color_trc == AVCOL_TRC_RESERVED0 || |
| fgp->color_space > AVCOL_SPC_NB || |
| fgp->color_space == AVCOL_SPC_RESERVED) |
| goto error; |
| } |
| } |
| |
| predict_scaling = get_bits1(gb); |
| if (predict_scaling && (!ref || ref == fgp)) |
| goto error; // prediction must be from valid, different set |
| |
| predict_y_scaling = predict_scaling ? get_bits1(gb) : 0; |
| if (predict_y_scaling) { |
| int y_scale, y_offset, bits_res; |
| y_scale = get_bits(gb, 9) - 256; |
| y_offset = get_bits(gb, 9) - 256; |
| bits_res = get_bits(gb, 3); |
| if (bits_res) { |
| int res[14], pred, granularity; |
| aom->num_y_points = ref->codec.aom.num_y_points; |
| for (i = 0; i < aom->num_y_points; i++) |
| res[i] = get_bits(gb, bits_res); |
| granularity = get_bits(gb, 3); |
| for (i = 0; i < aom->num_y_points; i++) { |
| pred = ref->codec.aom.y_points[i][1]; |
| pred = ((pred * y_scale + 8) >> 4) + y_offset; |
| pred += (res[i] - (1 << (bits_res - 1))) * granularity; |
| aom->y_points[i][0] = ref->codec.aom.y_points[i][0]; |
| aom->y_points[i][1] = av_clip_uint8(pred); |
| } |
| } |
| } else { |
| aom->num_y_points = get_bits(gb, 4); |
| if (aom->num_y_points > 14) { |
| goto error; |
| } else if (aom->num_y_points) { |
| int bits_inc, bits_scaling; |
| int y_value = 0; |
| bits_inc = get_bits(gb, 3) + 1; |
| bits_scaling = get_bits(gb, 2) + 5; |
| for (i = 0; i < aom->num_y_points; i++) { |
| y_value += get_bits(gb, bits_inc); |
| if (y_value > UINT8_MAX) |
| goto error; |
| aom->y_points[i][0] = y_value; |
| aom->y_points[i][1] = get_bits(gb, bits_scaling); |
| } |
| } |
| } |
| |
| if (luma_only) { |
| aom->chroma_scaling_from_luma = 0; |
| aom->num_uv_points[0] = aom->num_uv_points[1] = 0; |
| } else { |
| aom->chroma_scaling_from_luma = get_bits1(gb); |
| if (aom->chroma_scaling_from_luma) { |
| aom->num_uv_points[0] = aom->num_uv_points[1] = 0; |
| } else { |
| for (uv = 0; uv < 2; uv++) { |
| predict_uv_scaling[uv] = predict_scaling ? get_bits1(gb) : 0; |
| if (predict_uv_scaling[uv]) { |
| int uv_scale, uv_offset, bits_res; |
| uv_scale = get_bits(gb, 9) - 256; |
| uv_offset = get_bits(gb, 9) - 256; |
| bits_res = get_bits(gb, 3); |
| aom->uv_mult[uv] = ref->codec.aom.uv_mult[uv]; |
| aom->uv_mult_luma[uv] = ref->codec.aom.uv_mult_luma[uv]; |
| aom->uv_offset[uv] = ref->codec.aom.uv_offset[uv]; |
| if (bits_res) { |
| int res[10], pred, granularity; |
| aom->num_uv_points[uv] = ref->codec.aom.num_uv_points[uv]; |
| for (i = 0; i < aom->num_uv_points[uv]; i++) |
| res[i] = get_bits(gb, bits_res); |
| granularity = get_bits(gb, 3); |
| for (i = 0; i < aom->num_uv_points[uv]; i++) { |
| pred = ref->codec.aom.uv_points[uv][i][1]; |
| pred = ((pred * uv_scale + 8) >> 4) + uv_offset; |
| pred += (res[i] - (1 << (bits_res - 1))) * granularity; |
| aom->uv_points[uv][i][0] = ref->codec.aom.uv_points[uv][i][0]; |
| aom->uv_points[uv][i][1] = av_clip_uint8(pred); |
| } |
| } |
| } else { |
| int bits_inc, bits_scaling, uv_offset; |
| int uv_value = 0; |
| aom->num_uv_points[uv] = get_bits(gb, 4); |
| if (aom->num_uv_points[uv] > 10) |
| goto error; |
| bits_inc = get_bits(gb, 3) + 1; |
| bits_scaling = get_bits(gb, 2) + 5; |
| uv_offset = get_bits(gb, 8); |
| for (i = 0; i < aom->num_uv_points[uv]; i++) { |
| uv_value += get_bits(gb, bits_inc); |
| if (uv_value > UINT8_MAX) |
| goto error; |
| aom->uv_points[uv][i][0] = uv_value; |
| aom->uv_points[uv][i][1] = get_bits(gb, bits_scaling) + uv_offset; |
| } |
| } |
| } |
| } |
| } |
| |
| aom->scaling_shift = get_bits(gb, 2) + 8; |
| aom->ar_coeff_lag = get_bits(gb, 2); |
| num_y_coeffs = 2 * aom->ar_coeff_lag * (aom->ar_coeff_lag + 1); |
| if (aom->num_y_points) { |
| int ar_bits = get_bits(gb, 2) + 5; |
| for (i = 0; i < num_y_coeffs; i++) |
| aom->ar_coeffs_y[i] = get_bits(gb, ar_bits) - (1 << (ar_bits - 1)); |
| } |
| for (uv = 0; uv < 2; uv++) { |
| if (aom->chroma_scaling_from_luma || aom->num_uv_points[uv]) { |
| int ar_bits = get_bits(gb, 2) + 5; |
| for (i = 0; i < num_y_coeffs + !!aom->num_y_points; i++) |
| aom->ar_coeffs_uv[uv][i] = get_bits(gb, ar_bits) - (1 << (ar_bits - 1)); |
| } |
| } |
| aom->ar_coeff_shift = get_bits(gb, 2) + 6; |
| aom->grain_scale_shift = get_bits(gb, 2); |
| for (uv = 0; uv < 2; uv++) { |
| if (aom->num_uv_points[uv] && !predict_uv_scaling[uv]) { |
| aom->uv_mult[uv] = get_bits(gb, 8) - 128; |
| aom->uv_mult_luma[uv] = get_bits(gb, 8) - 128; |
| aom->uv_offset[uv] = get_bits(gb, 9) - 256; |
| } |
| } |
| aom->overlap_flag = get_bits1(gb); |
| aom->limit_output_range = get_bits1(gb); |
| |
| // use first set as reference only if it was fully transmitted |
| if (n == 0) |
| ref = fgp; |
| |
| payload_bits = get_bits_count(gb) - start_position; |
| if (payload_bits > payload_size * 8) |
| goto error; |
| skip_bits(gb, payload_size * 8 - payload_bits); |
| } |
| return 0; |
| |
| error: |
| memset(s, 0, sizeof(*s)); |
| return AVERROR_INVALIDDATA; |
| } |
| |
| int ff_aom_attach_film_grain_sets(const AVFilmGrainAFGS1Params *s, AVFrame *frame) |
| { |
| AVFilmGrainParams *fgp; |
| if (!s->enable) |
| return 0; |
| |
| for (int i = 0; i < FF_ARRAY_ELEMS(s->sets); i++) { |
| if (s->sets[i].type != AV_FILM_GRAIN_PARAMS_AV1) |
| continue; |
| fgp = av_film_grain_params_create_side_data(frame); |
| if (!fgp) |
| return AVERROR(ENOMEM); |
| memcpy(fgp, &s->sets[i], sizeof(*fgp)); |
| } |
| |
| return 0; |
| } |
| |
| // Taken from the AV1 spec. Range is [-2048, 2047], mean is 0 and stddev is 512 |
| static const int16_t gaussian_sequence[2048] = { |
| 56, 568, -180, 172, 124, -84, 172, -64, -900, 24, 820, |
| 224, 1248, 996, 272, -8, -916, -388, -732, -104, -188, 800, |
| 112, -652, -320, -376, 140, -252, 492, -168, 44, -788, 588, |
| -584, 500, -228, 12, 680, 272, -476, 972, -100, 652, 368, |
| 432, -196, -720, -192, 1000, -332, 652, -136, -552, -604, -4, |
| 192, -220, -136, 1000, -52, 372, -96, -624, 124, -24, 396, |
| 540, -12, -104, 640, 464, 244, -208, -84, 368, -528, -740, |
| 248, -968, -848, 608, 376, -60, -292, -40, -156, 252, -292, |
| 248, 224, -280, 400, -244, 244, -60, 76, -80, 212, 532, |
| 340, 128, -36, 824, -352, -60, -264, -96, -612, 416, -704, |
| 220, -204, 640, -160, 1220, -408, 900, 336, 20, -336, -96, |
| -792, 304, 48, -28, -1232, -1172, -448, 104, -292, -520, 244, |
| 60, -948, 0, -708, 268, 108, 356, -548, 488, -344, -136, |
| 488, -196, -224, 656, -236, -1128, 60, 4, 140, 276, -676, |
| -376, 168, -108, 464, 8, 564, 64, 240, 308, -300, -400, |
| -456, -136, 56, 120, -408, -116, 436, 504, -232, 328, 844, |
| -164, -84, 784, -168, 232, -224, 348, -376, 128, 568, 96, |
| -1244, -288, 276, 848, 832, -360, 656, 464, -384, -332, -356, |
| 728, -388, 160, -192, 468, 296, 224, 140, -776, -100, 280, |
| 4, 196, 44, -36, -648, 932, 16, 1428, 28, 528, 808, |
| 772, 20, 268, 88, -332, -284, 124, -384, -448, 208, -228, |
| -1044, -328, 660, 380, -148, -300, 588, 240, 540, 28, 136, |
| -88, -436, 256, 296, -1000, 1400, 0, -48, 1056, -136, 264, |
| -528, -1108, 632, -484, -592, -344, 796, 124, -668, -768, 388, |
| 1296, -232, -188, -200, -288, -4, 308, 100, -168, 256, -500, |
| 204, -508, 648, -136, 372, -272, -120, -1004, -552, -548, -384, |
| 548, -296, 428, -108, -8, -912, -324, -224, -88, -112, -220, |
| -100, 996, -796, 548, 360, -216, 180, 428, -200, -212, 148, |
| 96, 148, 284, 216, -412, -320, 120, -300, -384, -604, -572, |
| -332, -8, -180, -176, 696, 116, -88, 628, 76, 44, -516, |
| 240, -208, -40, 100, -592, 344, -308, -452, -228, 20, 916, |
| -1752, -136, -340, -804, 140, 40, 512, 340, 248, 184, -492, |
| 896, -156, 932, -628, 328, -688, -448, -616, -752, -100, 560, |
| -1020, 180, -800, -64, 76, 576, 1068, 396, 660, 552, -108, |
| -28, 320, -628, 312, -92, -92, -472, 268, 16, 560, 516, |
| -672, -52, 492, -100, 260, 384, 284, 292, 304, -148, 88, |
| -152, 1012, 1064, -228, 164, -376, -684, 592, -392, 156, 196, |
| -524, -64, -884, 160, -176, 636, 648, 404, -396, -436, 864, |
| 424, -728, 988, -604, 904, -592, 296, -224, 536, -176, -920, |
| 436, -48, 1176, -884, 416, -776, -824, -884, 524, -548, -564, |
| -68, -164, -96, 692, 364, -692, -1012, -68, 260, -480, 876, |
| -1116, 452, -332, -352, 892, -1088, 1220, -676, 12, -292, 244, |
| 496, 372, -32, 280, 200, 112, -440, -96, 24, -644, -184, |
| 56, -432, 224, -980, 272, -260, 144, -436, 420, 356, 364, |
| -528, 76, 172, -744, -368, 404, -752, -416, 684, -688, 72, |
| 540, 416, 92, 444, 480, -72, -1416, 164, -1172, -68, 24, |
| 424, 264, 1040, 128, -912, -524, -356, 64, 876, -12, 4, |
| -88, 532, 272, -524, 320, 276, -508, 940, 24, -400, -120, |
| 756, 60, 236, -412, 100, 376, -484, 400, -100, -740, -108, |
| -260, 328, -268, 224, -200, -416, 184, -604, -564, -20, 296, |
| 60, 892, -888, 60, 164, 68, -760, 216, -296, 904, -336, |
| -28, 404, -356, -568, -208, -1480, -512, 296, 328, -360, -164, |
| -1560, -776, 1156, -428, 164, -504, -112, 120, -216, -148, -264, |
| 308, 32, 64, -72, 72, 116, 176, -64, -272, 460, -536, |
| -784, -280, 348, 108, -752, -132, 524, -540, -776, 116, -296, |
| -1196, -288, -560, 1040, -472, 116, -848, -1116, 116, 636, 696, |
| 284, -176, 1016, 204, -864, -648, -248, 356, 972, -584, -204, |
| 264, 880, 528, -24, -184, 116, 448, -144, 828, 524, 212, |
| -212, 52, 12, 200, 268, -488, -404, -880, 824, -672, -40, |
| 908, -248, 500, 716, -576, 492, -576, 16, 720, -108, 384, |
| 124, 344, 280, 576, -500, 252, 104, -308, 196, -188, -8, |
| 1268, 296, 1032, -1196, 436, 316, 372, -432, -200, -660, 704, |
| -224, 596, -132, 268, 32, -452, 884, 104, -1008, 424, -1348, |
| -280, 4, -1168, 368, 476, 696, 300, -8, 24, 180, -592, |
| -196, 388, 304, 500, 724, -160, 244, -84, 272, -256, -420, |
| 320, 208, -144, -156, 156, 364, 452, 28, 540, 316, 220, |
| -644, -248, 464, 72, 360, 32, -388, 496, -680, -48, 208, |
| -116, -408, 60, -604, -392, 548, -840, 784, -460, 656, -544, |
| -388, -264, 908, -800, -628, -612, -568, 572, -220, 164, 288, |
| -16, -308, 308, -112, -636, -760, 280, -668, 432, 364, 240, |
| -196, 604, 340, 384, 196, 592, -44, -500, 432, -580, -132, |
| 636, -76, 392, 4, -412, 540, 508, 328, -356, -36, 16, |
| -220, -64, -248, -60, 24, -192, 368, 1040, 92, -24, -1044, |
| -32, 40, 104, 148, 192, -136, -520, 56, -816, -224, 732, |
| 392, 356, 212, -80, -424, -1008, -324, 588, -1496, 576, 460, |
| -816, -848, 56, -580, -92, -1372, -112, -496, 200, 364, 52, |
| -140, 48, -48, -60, 84, 72, 40, 132, -356, -268, -104, |
| -284, -404, 732, -520, 164, -304, -540, 120, 328, -76, -460, |
| 756, 388, 588, 236, -436, -72, -176, -404, -316, -148, 716, |
| -604, 404, -72, -88, -888, -68, 944, 88, -220, -344, 960, |
| 472, 460, -232, 704, 120, 832, -228, 692, -508, 132, -476, |
| 844, -748, -364, -44, 1116, -1104, -1056, 76, 428, 552, -692, |
| 60, 356, 96, -384, -188, -612, -576, 736, 508, 892, 352, |
| -1132, 504, -24, -352, 324, 332, -600, -312, 292, 508, -144, |
| -8, 484, 48, 284, -260, -240, 256, -100, -292, -204, -44, |
| 472, -204, 908, -188, -1000, -256, 92, 1164, -392, 564, 356, |
| 652, -28, -884, 256, 484, -192, 760, -176, 376, -524, -452, |
| -436, 860, -736, 212, 124, 504, -476, 468, 76, -472, 552, |
| -692, -944, -620, 740, -240, 400, 132, 20, 192, -196, 264, |
| -668, -1012, -60, 296, -316, -828, 76, -156, 284, -768, -448, |
| -832, 148, 248, 652, 616, 1236, 288, -328, -400, -124, 588, |
| 220, 520, -696, 1032, 768, -740, -92, -272, 296, 448, -464, |
| 412, -200, 392, 440, -200, 264, -152, -260, 320, 1032, 216, |
| 320, -8, -64, 156, -1016, 1084, 1172, 536, 484, -432, 132, |
| 372, -52, -256, 84, 116, -352, 48, 116, 304, -384, 412, |
| 924, -300, 528, 628, 180, 648, 44, -980, -220, 1320, 48, |
| 332, 748, 524, -268, -720, 540, -276, 564, -344, -208, -196, |
| 436, 896, 88, -392, 132, 80, -964, -288, 568, 56, -48, |
| -456, 888, 8, 552, -156, -292, 948, 288, 128, -716, -292, |
| 1192, -152, 876, 352, -600, -260, -812, -468, -28, -120, -32, |
| -44, 1284, 496, 192, 464, 312, -76, -516, -380, -456, -1012, |
| -48, 308, -156, 36, 492, -156, -808, 188, 1652, 68, -120, |
| -116, 316, 160, -140, 352, 808, -416, 592, 316, -480, 56, |
| 528, -204, -568, 372, -232, 752, -344, 744, -4, 324, -416, |
| -600, 768, 268, -248, -88, -132, -420, -432, 80, -288, 404, |
| -316, -1216, -588, 520, -108, 92, -320, 368, -480, -216, -92, |
| 1688, -300, 180, 1020, -176, 820, -68, -228, -260, 436, -904, |
| 20, 40, -508, 440, -736, 312, 332, 204, 760, -372, 728, |
| 96, -20, -632, -520, -560, 336, 1076, -64, -532, 776, 584, |
| 192, 396, -728, -520, 276, -188, 80, -52, -612, -252, -48, |
| 648, 212, -688, 228, -52, -260, 428, -412, -272, -404, 180, |
| 816, -796, 48, 152, 484, -88, -216, 988, 696, 188, -528, |
| 648, -116, -180, 316, 476, 12, -564, 96, 476, -252, -364, |
| -376, -392, 556, -256, -576, 260, -352, 120, -16, -136, -260, |
| -492, 72, 556, 660, 580, 616, 772, 436, 424, -32, -324, |
| -1268, 416, -324, -80, 920, 160, 228, 724, 32, -516, 64, |
| 384, 68, -128, 136, 240, 248, -204, -68, 252, -932, -120, |
| -480, -628, -84, 192, 852, -404, -288, -132, 204, 100, 168, |
| -68, -196, -868, 460, 1080, 380, -80, 244, 0, 484, -888, |
| 64, 184, 352, 600, 460, 164, 604, -196, 320, -64, 588, |
| -184, 228, 12, 372, 48, -848, -344, 224, 208, -200, 484, |
| 128, -20, 272, -468, -840, 384, 256, -720, -520, -464, -580, |
| 112, -120, 644, -356, -208, -608, -528, 704, 560, -424, 392, |
| 828, 40, 84, 200, -152, 0, -144, 584, 280, -120, 80, |
| -556, -972, -196, -472, 724, 80, 168, -32, 88, 160, -688, |
| 0, 160, 356, 372, -776, 740, -128, 676, -248, -480, 4, |
| -364, 96, 544, 232, -1032, 956, 236, 356, 20, -40, 300, |
| 24, -676, -596, 132, 1120, -104, 532, -1096, 568, 648, 444, |
| 508, 380, 188, -376, -604, 1488, 424, 24, 756, -220, -192, |
| 716, 120, 920, 688, 168, 44, -460, 568, 284, 1144, 1160, |
| 600, 424, 888, 656, -356, -320, 220, 316, -176, -724, -188, |
| -816, -628, -348, -228, -380, 1012, -452, -660, 736, 928, 404, |
| -696, -72, -268, -892, 128, 184, -344, -780, 360, 336, 400, |
| 344, 428, 548, -112, 136, -228, -216, -820, -516, 340, 92, |
| -136, 116, -300, 376, -244, 100, -316, -520, -284, -12, 824, |
| 164, -548, -180, -128, 116, -924, -828, 268, -368, -580, 620, |
| 192, 160, 0, -1676, 1068, 424, -56, -360, 468, -156, 720, |
| 288, -528, 556, -364, 548, -148, 504, 316, 152, -648, -620, |
| -684, -24, -376, -384, -108, -920, -1032, 768, 180, -264, -508, |
| -1268, -260, -60, 300, -240, 988, 724, -376, -576, -212, -736, |
| 556, 192, 1092, -620, -880, 376, -56, -4, -216, -32, 836, |
| 268, 396, 1332, 864, -600, 100, 56, -412, -92, 356, 180, |
| 884, -468, -436, 292, -388, -804, -704, -840, 368, -348, 140, |
| -724, 1536, 940, 372, 112, -372, 436, -480, 1136, 296, -32, |
| -228, 132, -48, -220, 868, -1016, -60, -1044, -464, 328, 916, |
| 244, 12, -736, -296, 360, 468, -376, -108, -92, 788, 368, |
| -56, 544, 400, -672, -420, 728, 16, 320, 44, -284, -380, |
| -796, 488, 132, 204, -596, -372, 88, -152, -908, -636, -572, |
| -624, -116, -692, -200, -56, 276, -88, 484, -324, 948, 864, |
| 1000, -456, -184, -276, 292, -296, 156, 676, 320, 160, 908, |
| -84, -1236, -288, -116, 260, -372, -644, 732, -756, -96, 84, |
| 344, -520, 348, -688, 240, -84, 216, -1044, -136, -676, -396, |
| -1500, 960, -40, 176, 168, 1516, 420, -504, -344, -364, -360, |
| 1216, -940, -380, -212, 252, -660, -708, 484, -444, -152, 928, |
| -120, 1112, 476, -260, 560, -148, -344, 108, -196, 228, -288, |
| 504, 560, -328, -88, 288, -1008, 460, -228, 468, -836, -196, |
| 76, 388, 232, 412, -1168, -716, -644, 756, -172, -356, -504, |
| 116, 432, 528, 48, 476, -168, -608, 448, 160, -532, -272, |
| 28, -676, -12, 828, 980, 456, 520, 104, -104, 256, -344, |
| -4, -28, -368, -52, -524, -572, -556, -200, 768, 1124, -208, |
| -512, 176, 232, 248, -148, -888, 604, -600, -304, 804, -156, |
| -212, 488, -192, -804, -256, 368, -360, -916, -328, 228, -240, |
| -448, -472, 856, -556, -364, 572, -12, -156, -368, -340, 432, |
| 252, -752, -152, 288, 268, -580, -848, -592, 108, -76, 244, |
| 312, -716, 592, -80, 436, 360, 4, -248, 160, 516, 584, |
| 732, 44, -468, -280, -292, -156, -588, 28, 308, 912, 24, |
| 124, 156, 180, -252, 944, -924, -772, -520, -428, -624, 300, |
| -212, -1144, 32, -724, 800, -1128, -212, -1288, -848, 180, -416, |
| 440, 192, -576, -792, -76, -1080, 80, -532, -352, -132, 380, |
| -820, 148, 1112, 128, 164, 456, 700, -924, 144, -668, -384, |
| 648, -832, 508, 552, -52, -100, -656, 208, -568, 748, -88, |
| 680, 232, 300, 192, -408, -1012, -152, -252, -268, 272, -876, |
| -664, -648, -332, -136, 16, 12, 1152, -28, 332, -536, 320, |
| -672, -460, -316, 532, -260, 228, -40, 1052, -816, 180, 88, |
| -496, -556, -672, -368, 428, 92, 356, 404, -408, 252, 196, |
| -176, -556, 792, 268, 32, 372, 40, 96, -332, 328, 120, |
| 372, -900, -40, 472, -264, -592, 952, 128, 656, 112, 664, |
| -232, 420, 4, -344, -464, 556, 244, -416, -32, 252, 0, |
| -412, 188, -696, 508, -476, 324, -1096, 656, -312, 560, 264, |
| -136, 304, 160, -64, -580, 248, 336, -720, 560, -348, -288, |
| -276, -196, -500, 852, -544, -236, -1128, -992, -776, 116, 56, |
| 52, 860, 884, 212, -12, 168, 1020, 512, -552, 924, -148, |
| 716, 188, 164, -340, -520, -184, 880, -152, -680, -208, -1156, |
| -300, -528, -472, 364, 100, -744, -1056, -32, 540, 280, 144, |
| -676, -32, -232, -280, -224, 96, 568, -76, 172, 148, 148, |
| 104, 32, -296, -32, 788, -80, 32, -16, 280, 288, 944, |
| 428, -484 |
| }; |
