FFmpeg  4.0
mathtables.c
Go to the documentation of this file.
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 };
MAX_NEG_CROP
#define MAX_NEG_CROP
Definition: mathops.h:31
uint8_t
uint8_t
Definition: audio_convert.c:194
times256
#define times256(x)
Definition: mathtables.c:75
ff_zigzag_scan
const uint8_t ff_zigzag_scan[16+1]
Definition: mathtables.c:109
ff_sqrt_tab
const uint8_t ff_sqrt_tab[256]
Definition: mathtables.c:63
U
#define U(x)
Definition: vp56_arith.h:37
ff_zigzag_direct
const uint8_t ff_zigzag_direct[64]
Definition: mathtables.c:98
ff_inverse
const uint32_t ff_inverse[257]
Definition: mathtables.c:27
ff_crop_tab
const uint8_t ff_crop_tab[256+2 *MAX_NEG_CROP]
Definition: mathtables.c:77
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