/* * Copyright (c) 2017, Alliance for Open Media. All rights reserved. * * This source code is subject to the terms of the BSD 2 Clause License and * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License * was not distributed with this source code in the LICENSE file, you can * obtain it at www.aomedia.org/license/software. If the Alliance for Open * Media Patent License 1.0 was not distributed with this source code in the * PATENTS file, you can obtain it at www.aomedia.org/license/patent. */ #include "config/aom_dsp_rtcd.h" #include "config/av1_rtcd.h" #include "av1/common/av1_txfm.h" // av1_cospi_arr[i][j] = (int)round(cos(PI*j/128) * (1<<(cos_bit_min+i))); const int32_t av1_cospi_arr_data[4][64] = { { 1024, 1024, 1023, 1021, 1019, 1016, 1013, 1009, 1004, 999, 993, 987, 980, 972, 964, 955, 946, 936, 926, 915, 903, 891, 878, 865, 851, 837, 822, 807, 792, 775, 759, 742, 724, 706, 688, 669, 650, 630, 610, 590, 569, 548, 526, 505, 483, 460, 438, 415, 392, 369, 345, 321, 297, 273, 249, 224, 200, 175, 150, 125, 100, 75, 50, 25 }, { 2048, 2047, 2046, 2042, 2038, 2033, 2026, 2018, 2009, 1998, 1987, 1974, 1960, 1945, 1928, 1911, 1892, 1872, 1851, 1829, 1806, 1782, 1757, 1730, 1703, 1674, 1645, 1615, 1583, 1551, 1517, 1483, 1448, 1412, 1375, 1338, 1299, 1260, 1220, 1179, 1138, 1096, 1053, 1009, 965, 921, 876, 830, 784, 737, 690, 642, 595, 546, 498, 449, 400, 350, 301, 251, 201, 151, 100, 50 }, { 4096, 4095, 4091, 4085, 4076, 4065, 4052, 4036, 4017, 3996, 3973, 3948, 3920, 3889, 3857, 3822, 3784, 3745, 3703, 3659, 3612, 3564, 3513, 3461, 3406, 3349, 3290, 3229, 3166, 3102, 3035, 2967, 2896, 2824, 2751, 2675, 2598, 2520, 2440, 2359, 2276, 2191, 2106, 2019, 1931, 1842, 1751, 1660, 1567, 1474, 1380, 1285, 1189, 1092, 995, 897, 799, 700, 601, 501, 401, 301, 201, 101 }, { 8192, 8190, 8182, 8170, 8153, 8130, 8103, 8071, 8035, 7993, 7946, 7895, 7839, 7779, 7713, 7643, 7568, 7489, 7405, 7317, 7225, 7128, 7027, 6921, 6811, 6698, 6580, 6458, 6333, 6203, 6070, 5933, 5793, 5649, 5501, 5351, 5197, 5040, 4880, 4717, 4551, 4383, 4212, 4038, 3862, 3683, 3503, 3320, 3135, 2948, 2760, 2570, 2378, 2185, 1990, 1795, 1598, 1401, 1202, 1003, 803, 603, 402, 201 } }; // av1_sinpi_arr_data[i][j] = (int)round((sqrt(2) * sin(j*Pi/9) * 2 / 3) * (1 // << (cos_bit_min + i))) modified so that elements j=1,2 sum to element j=4. const int32_t av1_sinpi_arr_data[4][5] = { { 0, 330, 621, 836, 951 }, { 0, 660, 1241, 1672, 1901 }, { 0, 1321, 2482, 3344, 3803 }, { 0, 2642, 4964, 6689, 7606 } }; // The reduced bit-width arrays are only used in the Arm Neon implementations // in av1_fwd_txfm2d_neon.c for now. #if HAVE_NEON // Constants are stored in groups of four, where symmetrical constants in the // cospi array are stored adjacent in memory, followed immediately by the same // constants but negated, i.e.: // f(i,j) = (int)round(cos(PI*j/128) * (1<<(cos_bit_min+i))) << (3-i) // and then in memory we store 4-tuples of constants together as: // f4(i,j) = [ f(i,j), f(i,64-j), -f(i,j), -f(i,64-j) ] // // Constants are stored in Q2.13 format, see: // https://en.wikipedia.org/wiki/Q_(number_format) // // The order of the constants is such that increasing subdivisions of 64 store // f4 tuples contiguously: // av1_cospi_arr_q13_data[i] = { // f4(i,32), // f(i,32) twice // f4(i,16), // f(i,16) and f(i,48), f4(i,32) skipped since present above. // f4(i,8), f(i,24), // f4(i,16) and f4(i,32) skipped since present above. // f4(i,4), f(i,12), f4(i,20), f4(i,28), // f4(i,2), f4(i,6), f4(i,10), f4(i,14), f4(i,18), ... // f4(i,1), f4(i,3), f4(i,5), f4(i,7), f4(i,9), f4(i,11), ... // } const int16_t av1_cospi_arr_q13_data[4][128] = { { 5792, 5792, -5792, -5792, 7568, 3136, -7568, -3136, 8032, 1600, -8032, -1600, 6808, 4552, -6808, -4552, 8152, 800, -8152, -800, 7840, 2376, -7840, -2376, 7224, 3864, -7224, -3864, 6336, 5200, -6336, -5200, 8184, 400, -8184, -400, 8104, 1200, -8104, -1200, 7944, 1992, -7944, -1992, 7712, 2760, -7712, -2760, 7408, 3504, -7408, -3504, 7024, 4208, -7024, -4208, 6576, 4880, -6576, -4880, 6072, 5504, -6072, -5504, 8192, 200, -8192, -200, 8168, 600, -8168, -600, 8128, 1000, -8128, -1000, 8072, 1400, -8072, -1400, 7992, 1792, -7992, -1792, 7896, 2184, -7896, -2184, 7776, 2568, -7776, -2568, 7640, 2952, -7640, -2952, 7488, 3320, -7488, -3320, 7320, 3680, -7320, -3680, 7128, 4040, -7128, -4040, 6920, 4384, -6920, -4384, 6696, 4720, -6696, -4720, 6456, 5040, -6456, -5040, 6200, 5352, -6200, -5352, 5936, 5648, -5936, -5648, }, { 5792, 5792, -5792, -5792, 7568, 3136, -7568, -3136, 8036, 1600, -8036, -1600, 6812, 4552, -6812, -4552, 8152, 804, -8152, -804, 7840, 2380, -7840, -2380, 7224, 3860, -7224, -3860, 6332, 5196, -6332, -5196, 8184, 400, -8184, -400, 8104, 1204, -8104, -1204, 7948, 1992, -7948, -1992, 7712, 2760, -7712, -2760, 7404, 3504, -7404, -3504, 7028, 4212, -7028, -4212, 6580, 4880, -6580, -4880, 6068, 5500, -6068, -5500, 8188, 200, -8188, -200, 8168, 604, -8168, -604, 8132, 1004, -8132, -1004, 8072, 1400, -8072, -1400, 7992, 1796, -7992, -1796, 7896, 2184, -7896, -2184, 7780, 2568, -7780, -2568, 7644, 2948, -7644, -2948, 7488, 3320, -7488, -3320, 7316, 3684, -7316, -3684, 7128, 4036, -7128, -4036, 6920, 4384, -6920, -4384, 6696, 4716, -6696, -4716, 6460, 5040, -6460, -5040, 6204, 5352, -6204, -5352, 5932, 5648, -5932, -5648, }, { 5792, 5792, -5792, -5792, 7568, 3134, -7568, -3134, 8034, 1598, -8034, -1598, 6812, 4552, -6812, -4552, 8152, 802, -8152, -802, 7840, 2378, -7840, -2378, 7224, 3862, -7224, -3862, 6332, 5196, -6332, -5196, 8182, 402, -8182, -402, 8104, 1202, -8104, -1202, 7946, 1990, -7946, -1990, 7714, 2760, -7714, -2760, 7406, 3502, -7406, -3502, 7026, 4212, -7026, -4212, 6580, 4880, -6580, -4880, 6070, 5502, -6070, -5502, 8190, 202, -8190, -202, 8170, 602, -8170, -602, 8130, 1002, -8130, -1002, 8072, 1400, -8072, -1400, 7992, 1794, -7992, -1794, 7896, 2184, -7896, -2184, 7778, 2570, -7778, -2570, 7644, 2948, -7644, -2948, 7490, 3320, -7490, -3320, 7318, 3684, -7318, -3684, 7128, 4038, -7128, -4038, 6922, 4382, -6922, -4382, 6698, 4718, -6698, -4718, 6458, 5040, -6458, -5040, 6204, 5350, -6204, -5350, 5934, 5648, -5934, -5648, }, { 5793, 5793, -5793, -5793, 7568, 3135, -7568, -3135, 8035, 1598, -8035, -1598, 6811, 4551, -6811, -4551, 8153, 803, -8153, -803, 7839, 2378, -7839, -2378, 7225, 3862, -7225, -3862, 6333, 5197, -6333, -5197, 8182, 402, -8182, -402, 8103, 1202, -8103, -1202, 7946, 1990, -7946, -1990, 7713, 2760, -7713, -2760, 7405, 3503, -7405, -3503, 7027, 4212, -7027, -4212, 6580, 4880, -6580, -4880, 6070, 5501, -6070, -5501, 8190, 201, -8190, -201, 8170, 603, -8170, -603, 8130, 1003, -8130, -1003, 8071, 1401, -8071, -1401, 7993, 1795, -7993, -1795, 7895, 2185, -7895, -2185, 7779, 2570, -7779, -2570, 7643, 2948, -7643, -2948, 7489, 3320, -7489, -3320, 7317, 3683, -7317, -3683, 7128, 4038, -7128, -4038, 6921, 4383, -6921, -4383, 6698, 4717, -6698, -4717, 6458, 5040, -6458, -5040, 6203, 5351, -6203, -5351, 5933, 5649, -5933, -5649, } }; // av1_sinpi_arr_q13_data[i][j] = // round((sqrt2 * sin((j+1)*Pi/9) * 2/3) * (1 << (cos_bit_min + i))) << (3-i) // modified so that elements j=0,1 sum to element j=3. // See also: https://en.wikipedia.org/wiki/Q_(number_format) const int16_t av1_sinpi_arr_q13_data[4][4] = { { 2640, 4968, 6688, 7608 }, { 2640, 4964, 6688, 7604 }, { 2642, 4964, 6688, 7606 }, { 2642, 4964, 6689, 7606 } }; // Constants are stored in pairs, where symmetrical constants in the // cospi array are stored adjacent in memory, i.e.: // f(i,j) = (int)round(cos(PI*j/128) * (1<<(cos_bit_min+i))) // and then in memory we store 4-tuples of constants together as: // f2(i,j) = [ f(i,j), f(i,64-j) ] const int32_t av1_cospi_arr_s32_data[4][66] = { { 1024, 0, 1024, 25, 1023, 50, 1021, 75, 1019, 100, 1016, 125, 1013, 150, 1009, 175, 1004, 200, 999, 224, 993, 249, 987, 273, 980, 297, 972, 321, 964, 345, 955, 369, 946, 392, 936, 415, 926, 438, 915, 460, 903, 483, 891, 505, 878, 526, 865, 548, 851, 569, 837, 590, 822, 610, 807, 630, 792, 650, 775, 669, 759, 688, 742, 706, 724, 724, }, { 2048, 0, 2047, 50, 2046, 100, 2042, 151, 2038, 201, 2033, 251, 2026, 301, 2018, 350, 2009, 400, 1998, 449, 1987, 498, 1974, 546, 1960, 595, 1945, 642, 1928, 690, 1911, 737, 1892, 784, 1872, 830, 1851, 876, 1829, 921, 1806, 965, 1782, 1009, 1757, 1053, 1730, 1096, 1703, 1138, 1674, 1179, 1645, 1220, 1615, 1260, 1583, 1299, 1551, 1338, 1517, 1375, 1483, 1412, 1448, 1448, }, { 4096, 0, 4095, 101, 4091, 201, 4085, 301, 4076, 401, 4065, 501, 4052, 601, 4036, 700, 4017, 799, 3996, 897, 3973, 995, 3948, 1092, 3920, 1189, 3889, 1285, 3857, 1380, 3822, 1474, 3784, 1567, 3745, 1660, 3703, 1751, 3659, 1842, 3612, 1931, 3564, 2019, 3513, 2106, 3461, 2191, 3406, 2276, 3349, 2359, 3290, 2440, 3229, 2520, 3166, 2598, 3102, 2675, 3035, 2751, 2967, 2824, 2896, 2896, }, { 8192, 0, 8190, 201, 8182, 402, 8170, 603, 8153, 803, 8130, 1003, 8103, 1202, 8071, 1401, 8035, 1598, 7993, 1795, 7946, 1990, 7895, 2185, 7839, 2378, 7779, 2570, 7713, 2760, 7643, 2948, 7568, 3135, 7489, 3320, 7405, 3503, 7317, 3683, 7225, 3862, 7128, 4038, 7027, 4212, 6921, 4383, 6811, 4551, 6698, 4717, 6580, 4880, 6458, 5040, 6333, 5197, 6203, 5351, 6070, 5501, 5933, 5649, 5793, 5793, } }; #endif // HAVE_NEON void av1_round_shift_array_c(int32_t *arr, int size, int bit) { int i; if (bit == 0) { return; } else { if (bit > 0) { for (i = 0; i < size; i++) { arr[i] = round_shift(arr[i], bit); } } else { for (i = 0; i < size; i++) { arr[i] = (int32_t)clamp64(((int64_t)1 << (-bit)) * arr[i], INT32_MIN, INT32_MAX); } } } } const TXFM_TYPE av1_txfm_type_ls[5][TX_TYPES_1D] = { { TXFM_TYPE_DCT4, TXFM_TYPE_ADST4, TXFM_TYPE_ADST4, TXFM_TYPE_IDENTITY4 }, { TXFM_TYPE_DCT8, TXFM_TYPE_ADST8, TXFM_TYPE_ADST8, TXFM_TYPE_IDENTITY8 }, { TXFM_TYPE_DCT16, TXFM_TYPE_ADST16, TXFM_TYPE_ADST16, TXFM_TYPE_IDENTITY16 }, { TXFM_TYPE_DCT32, TXFM_TYPE_INVALID, TXFM_TYPE_INVALID, TXFM_TYPE_IDENTITY32 }, { TXFM_TYPE_DCT64, TXFM_TYPE_INVALID, TXFM_TYPE_INVALID, TXFM_TYPE_INVALID } }; const int8_t av1_txfm_stage_num_list[TXFM_TYPES] = { 4, // TXFM_TYPE_DCT4 6, // TXFM_TYPE_DCT8 8, // TXFM_TYPE_DCT16 10, // TXFM_TYPE_DCT32 12, // TXFM_TYPE_DCT64 7, // TXFM_TYPE_ADST4 8, // TXFM_TYPE_ADST8 10, // TXFM_TYPE_ADST16 1, // TXFM_TYPE_IDENTITY4 1, // TXFM_TYPE_IDENTITY8 1, // TXFM_TYPE_IDENTITY16 1, // TXFM_TYPE_IDENTITY32 }; void av1_range_check_buf(int32_t stage, const int32_t *input, const int32_t *buf, int32_t size, int8_t bit) { #if CONFIG_COEFFICIENT_RANGE_CHECKING const int64_t max_value = (1LL << (bit - 1)) - 1; const int64_t min_value = -(1LL << (bit - 1)); int in_range = 1; for (int i = 0; i < size; ++i) { if (buf[i] < min_value || buf[i] > max_value) { in_range = 0; } } if (!in_range) { fprintf(stderr, "Error: coeffs contain out-of-range values\n"); fprintf(stderr, "size: %d\n", size); fprintf(stderr, "stage: %d\n", stage); fprintf(stderr, "allowed range: [%" PRId64 ";%" PRId64 "]\n", min_value, max_value); fprintf(stderr, "coeffs: "); fprintf(stderr, "["); for (int j = 0; j < size; j++) { if (j > 0) fprintf(stderr, ", "); fprintf(stderr, "%d", input[j]); } fprintf(stderr, "]\n"); fprintf(stderr, " buf: "); fprintf(stderr, "["); for (int j = 0; j < size; j++) { if (j > 0) fprintf(stderr, ", "); fprintf(stderr, "%d", buf[j]); } fprintf(stderr, "]\n\n"); } assert(in_range); #else (void)stage; (void)input; (void)buf; (void)size; (void)bit; #endif }