mathtables.c (7440B)
1 /* 2 * Copyright (c) 2002-2004 Michael Niedermayer <michaelni@gmx.at> 3 * 4 * This file is part of FFmpeg. 5 * 6 * FFmpeg is free software; you can redistribute it and/or 7 * modify it under the terms of the GNU Lesser General Public 8 * License as published by the Free Software Foundation; either 9 * version 2.1 of the License, or (at your option) any later version. 10 * 11 * FFmpeg is distributed in the hope that it will be useful, 12 * but WITHOUT ANY WARRANTY; without even the implied warranty of 13 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 14 * Lesser General Public License for more details. 15 * 16 * You should have received a copy of the GNU Lesser General Public 17 * License along with FFmpeg; if not, write to the Free Software 18 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA 19 */ 20 21 #include <stdint.h> 22 23 #include "mathops.h" 24 25 /* a*inverse[b]>>32 == a/b for all 0<=a<=16909558 && 2<=b<=256 26 * for a>16909558, is an overestimate by less than 1 part in 1<<24 */ 27 const uint32_t ff_inverse[257]={ 28 0, 4294967295U,2147483648U,1431655766, 1073741824, 858993460, 715827883, 613566757, 29 536870912, 477218589, 429496730, 390451573, 357913942, 330382100, 306783379, 286331154, 30 268435456, 252645136, 238609295, 226050911, 214748365, 204522253, 195225787, 186737709, 31 178956971, 171798692, 165191050, 159072863, 153391690, 148102321, 143165577, 138547333, 32 134217728, 130150525, 126322568, 122713352, 119304648, 116080198, 113025456, 110127367, 33 107374183, 104755300, 102261127, 99882961, 97612894, 95443718, 93368855, 91382283, 34 89478486, 87652394, 85899346, 84215046, 82595525, 81037119, 79536432, 78090315, 35 76695845, 75350304, 74051161, 72796056, 71582789, 70409300, 69273667, 68174085, 36 67108864, 66076420, 65075263, 64103990, 63161284, 62245903, 61356676, 60492498, 37 59652324, 58835169, 58040099, 57266231, 56512728, 55778797, 55063684, 54366675, 38 53687092, 53024288, 52377650, 51746594, 51130564, 50529028, 49941481, 49367441, 39 48806447, 48258060, 47721859, 47197443, 46684428, 46182445, 45691142, 45210183, 40 44739243, 44278014, 43826197, 43383509, 42949673, 42524429, 42107523, 41698712, 41 41297763, 40904451, 40518560, 40139882, 39768216, 39403370, 39045158, 38693400, 42 38347923, 38008561, 37675152, 37347542, 37025581, 36709123, 36398028, 36092163, 43 35791395, 35495598, 35204650, 34918434, 34636834, 34359739, 34087043, 33818641, 44 33554432, 33294321, 33038210, 32786010, 32537632, 32292988, 32051995, 31814573, 45 31580642, 31350127, 31122952, 30899046, 30678338, 30460761, 30246249, 30034737, 46 29826162, 29620465, 29417585, 29217465, 29020050, 28825284, 28633116, 28443493, 47 28256364, 28071682, 27889399, 27709467, 27531842, 27356480, 27183338, 27012373, 48 26843546, 26676816, 26512144, 26349493, 26188825, 26030105, 25873297, 25718368, 49 25565282, 25414008, 25264514, 25116768, 24970741, 24826401, 24683721, 24542671, 50 24403224, 24265352, 24129030, 23994231, 23860930, 23729102, 23598722, 23469767, 51 23342214, 23216040, 23091223, 22967740, 22845571, 22724695, 22605092, 22486740, 52 22369622, 22253717, 22139007, 22025474, 21913099, 21801865, 21691755, 21582751, 53 21474837, 21367997, 21262215, 21157475, 21053762, 20951060, 20849356, 20748635, 54 20648882, 20550083, 20452226, 20355296, 20259280, 20164166, 20069941, 19976593, 55 19884108, 19792477, 19701685, 19611723, 19522579, 19434242, 19346700, 19259944, 56 19173962, 19088744, 19004281, 18920561, 18837576, 18755316, 18673771, 18592933, 57 18512791, 18433337, 18354562, 18276457, 18199014, 18122225, 18046082, 17970575, 58 17895698, 17821442, 17747799, 17674763, 17602325, 17530479, 17459217, 17388532, 59 17318417, 17248865, 17179870, 17111424, 17043522, 16976156, 16909321, 16843010, 60 16777216 61 }; 62 63 const uint8_t ff_sqrt_tab[256]={ 64 0, 16, 23, 28, 32, 36, 40, 43, 46, 48, 51, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 77, 79, 80, 82, 84, 85, 87, 88, 90, 65 91, 92, 94, 95, 96, 98, 99,100,102,103,104,105,107,108,109,110,111,112,114,115,116,117,118,119,120,121,122,123,124,125,126,127, 66 128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,144,145,146,147,148,149,150,151,151,152,153,154,155,156,156, 67 157,158,159,160,160,161,162,163,164,164,165,166,167,168,168,169,170,171,171,172,173,174,174,175,176,176,177,178,179,179,180,181, 68 182,182,183,184,184,185,186,186,187,188,188,189,190,190,191,192,192,193,194,194,195,196,196,197,198,198,199,200,200,201,202,202, 69 203,204,204,205,205,206,207,207,208,208,209,210,210,211,212,212,213,213,214,215,215,216,216,217,218,218,219,219,220,220,221,222, 70 222,223,223,224,224,225,226,226,227,227,228,228,229,230,230,231,231,232,232,233,233,234,235,235,236,236,237,237,238,238,239,239, 71 240,240,241,242,242,243,243,244,244,245,245,246,246,247,247,248,248,249,249,250,250,251,251,252,252,253,253,254,254,255,255,255 72 }; 73 74 #define times4(x) x, x, x, x 75 #define times256(x) times4(times4(times4(times4(times4(x))))) 76 77 const uint8_t ff_crop_tab[256 + 2 * MAX_NEG_CROP] = { 78 times256(0x00), 79 0x00,0x01,0x02,0x03,0x04,0x05,0x06,0x07,0x08,0x09,0x0A,0x0B,0x0C,0x0D,0x0E,0x0F, 80 0x10,0x11,0x12,0x13,0x14,0x15,0x16,0x17,0x18,0x19,0x1A,0x1B,0x1C,0x1D,0x1E,0x1F, 81 0x20,0x21,0x22,0x23,0x24,0x25,0x26,0x27,0x28,0x29,0x2A,0x2B,0x2C,0x2D,0x2E,0x2F, 82 0x30,0x31,0x32,0x33,0x34,0x35,0x36,0x37,0x38,0x39,0x3A,0x3B,0x3C,0x3D,0x3E,0x3F, 83 0x40,0x41,0x42,0x43,0x44,0x45,0x46,0x47,0x48,0x49,0x4A,0x4B,0x4C,0x4D,0x4E,0x4F, 84 0x50,0x51,0x52,0x53,0x54,0x55,0x56,0x57,0x58,0x59,0x5A,0x5B,0x5C,0x5D,0x5E,0x5F, 85 0x60,0x61,0x62,0x63,0x64,0x65,0x66,0x67,0x68,0x69,0x6A,0x6B,0x6C,0x6D,0x6E,0x6F, 86 0x70,0x71,0x72,0x73,0x74,0x75,0x76,0x77,0x78,0x79,0x7A,0x7B,0x7C,0x7D,0x7E,0x7F, 87 0x80,0x81,0x82,0x83,0x84,0x85,0x86,0x87,0x88,0x89,0x8A,0x8B,0x8C,0x8D,0x8E,0x8F, 88 0x90,0x91,0x92,0x93,0x94,0x95,0x96,0x97,0x98,0x99,0x9A,0x9B,0x9C,0x9D,0x9E,0x9F, 89 0xA0,0xA1,0xA2,0xA3,0xA4,0xA5,0xA6,0xA7,0xA8,0xA9,0xAA,0xAB,0xAC,0xAD,0xAE,0xAF, 90 0xB0,0xB1,0xB2,0xB3,0xB4,0xB5,0xB6,0xB7,0xB8,0xB9,0xBA,0xBB,0xBC,0xBD,0xBE,0xBF, 91 0xC0,0xC1,0xC2,0xC3,0xC4,0xC5,0xC6,0xC7,0xC8,0xC9,0xCA,0xCB,0xCC,0xCD,0xCE,0xCF, 92 0xD0,0xD1,0xD2,0xD3,0xD4,0xD5,0xD6,0xD7,0xD8,0xD9,0xDA,0xDB,0xDC,0xDD,0xDE,0xDF, 93 0xE0,0xE1,0xE2,0xE3,0xE4,0xE5,0xE6,0xE7,0xE8,0xE9,0xEA,0xEB,0xEC,0xED,0xEE,0xEF, 94 0xF0,0xF1,0xF2,0xF3,0xF4,0xF5,0xF6,0xF7,0xF8,0xF9,0xFA,0xFB,0xFC,0xFD,0xFE,0xFF, 95 times256(0xFF) 96 }; 97 98 const uint8_t ff_zigzag_direct[64] = { 99 0, 1, 8, 16, 9, 2, 3, 10, 100 17, 24, 32, 25, 18, 11, 4, 5, 101 12, 19, 26, 33, 40, 48, 41, 34, 102 27, 20, 13, 6, 7, 14, 21, 28, 103 35, 42, 49, 56, 57, 50, 43, 36, 104 29, 22, 15, 23, 30, 37, 44, 51, 105 58, 59, 52, 45, 38, 31, 39, 46, 106 53, 60, 61, 54, 47, 55, 62, 63 107 }; 108 109 const uint8_t ff_zigzag_scan[16+1] = { 110 0 + 0 * 4, 1 + 0 * 4, 0 + 1 * 4, 0 + 2 * 4, 111 1 + 1 * 4, 2 + 0 * 4, 3 + 0 * 4, 2 + 1 * 4, 112 1 + 2 * 4, 0 + 3 * 4, 1 + 3 * 4, 2 + 2 * 4, 113 3 + 1 * 4, 3 + 2 * 4, 2 + 3 * 4, 3 + 3 * 4, 114 }; 115 116 const uint8_t ff_log2_run[41] = { 117 0, 0, 0, 0, 1, 1, 1, 1, 118 2, 2, 2, 2, 3, 3, 3, 3, 119 4, 4, 5, 5, 6, 6, 7, 7, 120 8, 9, 10, 11, 12, 13, 14, 15, 121 16, 17, 18, 19, 20, 21, 22, 23, 122 24, 123 };