// Copyright 2015 Google Inc. All Rights Reserved. // // Use of this source code is governed by a BSD-style license // that can be found in the COPYING file in the root of the source // tree. An additional intellectual property rights grant can be found // in the file PATENTS. All contributing project authors may // be found in the AUTHORS file in the root of the source tree. // ----------------------------------------------------------------------------- // // Image transform methods for lossless encoder. // // Authors: Vikas Arora (vikaas.arora@gmail.com) // Jyrki Alakuijala (jyrki@google.com) // Urvang Joshi (urvang@google.com) #include "./dsp.h" #include <math.h> #include <stdlib.h> #include "../dec/vp8li_dec.h" #include "../utils/endian_inl_utils.h" #include "./lossless.h" #include "./lossless_common.h" #include "./yuv.h" // lookup table for small values of log2(int) const float kLog2Table[LOG_LOOKUP_IDX_MAX] = { 0.0000000000000000f, 0.0000000000000000f, 1.0000000000000000f, 1.5849625007211560f, 2.0000000000000000f, 2.3219280948873621f, 2.5849625007211560f, 2.8073549220576041f, 3.0000000000000000f, 3.1699250014423121f, 3.3219280948873621f, 3.4594316186372973f, 3.5849625007211560f, 3.7004397181410921f, 3.8073549220576041f, 3.9068905956085187f, 4.0000000000000000f, 4.0874628412503390f, 4.1699250014423121f, 4.2479275134435852f, 4.3219280948873626f, 4.3923174227787606f, 4.4594316186372973f, 4.5235619560570130f, 4.5849625007211560f, 4.6438561897747243f, 4.7004397181410917f, 4.7548875021634682f, 4.8073549220576037f, 4.8579809951275718f, 4.9068905956085187f, 4.9541963103868749f, 5.0000000000000000f, 5.0443941193584533f, 5.0874628412503390f, 5.1292830169449663f, 5.1699250014423121f, 5.2094533656289501f, 5.2479275134435852f, 5.2854022188622487f, 5.3219280948873626f, 5.3575520046180837f, 5.3923174227787606f, 5.4262647547020979f, 5.4594316186372973f, 5.4918530963296747f, 5.5235619560570130f, 5.5545888516776376f, 5.5849625007211560f, 5.6147098441152083f, 5.6438561897747243f, 5.6724253419714951f, 5.7004397181410917f, 5.7279204545631987f, 5.7548875021634682f, 5.7813597135246599f, 5.8073549220576037f, 5.8328900141647412f, 5.8579809951275718f, 5.8826430493618415f, 5.9068905956085187f, 5.9307373375628866f, 5.9541963103868749f, 5.9772799234999167f, 6.0000000000000000f, 6.0223678130284543f, 6.0443941193584533f, 6.0660891904577720f, 6.0874628412503390f, 6.1085244567781691f, 6.1292830169449663f, 6.1497471195046822f, 6.1699250014423121f, 6.1898245588800175f, 6.2094533656289501f, 6.2288186904958804f, 6.2479275134435852f, 6.2667865406949010f, 6.2854022188622487f, 6.3037807481771030f, 6.3219280948873626f, 6.3398500028846243f, 6.3575520046180837f, 6.3750394313469245f, 6.3923174227787606f, 6.4093909361377017f, 6.4262647547020979f, 6.4429434958487279f, 6.4594316186372973f, 6.4757334309663976f, 6.4918530963296747f, 6.5077946401986963f, 6.5235619560570130f, 6.5391588111080309f, 6.5545888516776376f, 6.5698556083309478f, 6.5849625007211560f, 6.5999128421871278f, 6.6147098441152083f, 6.6293566200796094f, 6.6438561897747243f, 6.6582114827517946f, 6.6724253419714951f, 6.6865005271832185f, 6.7004397181410917f, 6.7142455176661224f, 6.7279204545631987f, 6.7414669864011464f, 6.7548875021634682f, 6.7681843247769259f, 6.7813597135246599f, 6.7944158663501061f, 6.8073549220576037f, 6.8201789624151878f, 6.8328900141647412f, 6.8454900509443747f, 6.8579809951275718f, 6.8703647195834047f, 6.8826430493618415f, 6.8948177633079437f, 6.9068905956085187f, 6.9188632372745946f, 6.9307373375628866f, 6.9425145053392398f, 6.9541963103868749f, 6.9657842846620869f, 6.9772799234999167f, 6.9886846867721654f, 7.0000000000000000f, 7.0112272554232539f, 7.0223678130284543f, 7.0334230015374501f, 7.0443941193584533f, 7.0552824355011898f, 7.0660891904577720f, 7.0768155970508308f, 7.0874628412503390f, 7.0980320829605263f, 7.1085244567781691f, 7.1189410727235076f, 7.1292830169449663f, 7.1395513523987936f, 7.1497471195046822f, 7.1598713367783890f, 7.1699250014423121f, 7.1799090900149344f, 7.1898245588800175f, 7.1996723448363644f, 7.2094533656289501f, 7.2191685204621611f, 7.2288186904958804f, 7.2384047393250785f, 7.2479275134435852f, 7.2573878426926521f, 7.2667865406949010f, 7.2761244052742375f, 7.2854022188622487f, 7.2946207488916270f, 7.3037807481771030f, 7.3128829552843557f, 7.3219280948873626f, 7.3309168781146167f, 7.3398500028846243f, 7.3487281542310771f, 7.3575520046180837f, 7.3663222142458160f, 7.3750394313469245f, 7.3837042924740519f, 7.3923174227787606f, 7.4008794362821843f, 7.4093909361377017f, 7.4178525148858982f, 7.4262647547020979f, 7.4346282276367245f, 7.4429434958487279f, 7.4512111118323289f, 7.4594316186372973f, 7.4676055500829976f, 7.4757334309663976f, 7.4838157772642563f, 7.4918530963296747f, 7.4998458870832056f, 7.5077946401986963f, 7.5156998382840427f, 7.5235619560570130f, 7.5313814605163118f, 7.5391588111080309f, 7.5468944598876364f, 7.5545888516776376f, 7.5622424242210728f, 7.5698556083309478f, 7.5774288280357486f, 7.5849625007211560f, 7.5924570372680806f, 7.5999128421871278f, 7.6073303137496104f, 7.6147098441152083f, 7.6220518194563764f, 7.6293566200796094f, 7.6366246205436487f, 7.6438561897747243f, 7.6510516911789281f, 7.6582114827517946f, 7.6653359171851764f, 7.6724253419714951f, 7.6794800995054464f, 7.6865005271832185f, 7.6934869574993252f, 7.7004397181410917f, 7.7073591320808825f, 7.7142455176661224f, 7.7210991887071855f, 7.7279204545631987f, 7.7347096202258383f, 7.7414669864011464f, 7.7481928495894605f, 7.7548875021634682f, 7.7615512324444795f, 7.7681843247769259f, 7.7747870596011736f, 7.7813597135246599f, 7.7879025593914317f, 7.7944158663501061f, 7.8008998999203047f, 7.8073549220576037f, 7.8137811912170374f, 7.8201789624151878f, 7.8265484872909150f, 7.8328900141647412f, 7.8392037880969436f, 7.8454900509443747f, 7.8517490414160571f, 7.8579809951275718f, 7.8641861446542797f, 7.8703647195834047f, 7.8765169465649993f, 7.8826430493618415f, 7.8887432488982591f, 7.8948177633079437f, 7.9008668079807486f, 7.9068905956085187f, 7.9128893362299619f, 7.9188632372745946f, 7.9248125036057812f, 7.9307373375628866f, 7.9366379390025709f, 7.9425145053392398f, 7.9483672315846778f, 7.9541963103868749f, 7.9600019320680805f, 7.9657842846620869f, 7.9715435539507719f, 7.9772799234999167f, 7.9829935746943103f, 7.9886846867721654f, 7.9943534368588577f }; const float kSLog2Table[LOG_LOOKUP_IDX_MAX] = { 0.00000000f, 0.00000000f, 2.00000000f, 4.75488750f, 8.00000000f, 11.60964047f, 15.50977500f, 19.65148445f, 24.00000000f, 28.52932501f, 33.21928095f, 38.05374781f, 43.01955001f, 48.10571634f, 53.30296891f, 58.60335893f, 64.00000000f, 69.48686830f, 75.05865003f, 80.71062276f, 86.43856190f, 92.23866588f, 98.10749561f, 104.04192499f, 110.03910002f, 116.09640474f, 122.21143267f, 128.38196256f, 134.60593782f, 140.88144886f, 147.20671787f, 153.58008562f, 160.00000000f, 166.46500594f, 172.97373660f, 179.52490559f, 186.11730005f, 192.74977453f, 199.42124551f, 206.13068654f, 212.87712380f, 219.65963219f, 226.47733176f, 233.32938445f, 240.21499122f, 247.13338933f, 254.08384998f, 261.06567603f, 268.07820003f, 275.12078236f, 282.19280949f, 289.29369244f, 296.42286534f, 303.57978409f, 310.76392512f, 317.97478424f, 325.21187564f, 332.47473081f, 339.76289772f, 347.07593991f, 354.41343574f, 361.77497759f, 369.16017124f, 376.56863518f, 384.00000000f, 391.45390785f, 398.93001188f, 406.42797576f, 413.94747321f, 421.48818752f, 429.04981119f, 436.63204548f, 444.23460010f, 451.85719280f, 459.49954906f, 467.16140179f, 474.84249102f, 482.54256363f, 490.26137307f, 497.99867911f, 505.75424759f, 513.52785023f, 521.31926438f, 529.12827280f, 536.95466351f, 544.79822957f, 552.65876890f, 560.53608414f, 568.42998244f, 576.34027536f, 584.26677867f, 592.20931226f, 600.16769996f, 608.14176943f, 616.13135206f, 624.13628279f, 632.15640007f, 640.19154569f, 648.24156472f, 656.30630539f, 664.38561898f, 672.47935976f, 680.58738488f, 688.70955430f, 696.84573069f, 704.99577935f, 713.15956818f, 721.33696754f, 729.52785023f, 737.73209140f, 745.94956849f, 754.18016116f, 762.42375127f, 770.68022275f, 778.94946161f, 787.23135586f, 795.52579543f, 803.83267219f, 812.15187982f, 820.48331383f, 828.82687147f, 837.18245171f, 845.54995518f, 853.92928416f, 862.32034249f, 870.72303558f, 879.13727036f, 887.56295522f, 896.00000000f, 904.44831595f, 912.90781569f, 921.37841320f, 929.86002376f, 938.35256392f, 946.85595152f, 955.37010560f, 963.89494641f, 972.43039537f, 980.97637504f, 989.53280911f, 998.09962237f, 1006.67674069f, 1015.26409097f, 1023.86160116f, 1032.46920021f, 1041.08681805f, 1049.71438560f, 1058.35183469f, 1066.99909811f, 1075.65610955f, 1084.32280357f, 1092.99911564f, 1101.68498204f, 1110.38033993f, 1119.08512727f, 1127.79928282f, 1136.52274614f, 1145.25545758f, 1153.99735821f, 1162.74838989f, 1171.50849518f, 1180.27761738f, 1189.05570047f, 1197.84268914f, 1206.63852876f, 1215.44316535f, 1224.25654560f, 1233.07861684f, 1241.90932703f, 1250.74862473f, 1259.59645914f, 1268.45278005f, 1277.31753781f, 1286.19068338f, 1295.07216828f, 1303.96194457f, 1312.85996488f, 1321.76618236f, 1330.68055071f, 1339.60302413f, 1348.53355734f, 1357.47210556f, 1366.41862452f, 1375.37307041f, 1384.33539991f, 1393.30557020f, 1402.28353887f, 1411.26926400f, 1420.26270412f, 1429.26381818f, 1438.27256558f, 1447.28890615f, 1456.31280014f, 1465.34420819f, 1474.38309138f, 1483.42941118f, 1492.48312945f, 1501.54420843f, 1510.61261078f, 1519.68829949f, 1528.77123795f, 1537.86138993f, 1546.95871952f, 1556.06319119f, 1565.17476976f, 1574.29342040f, 1583.41910860f, 1592.55180020f, 1601.69146137f, 1610.83805860f, 1619.99155871f, 1629.15192882f, 1638.31913637f, 1647.49314911f, 1656.67393509f, 1665.86146266f, 1675.05570047f, 1684.25661744f, 1693.46418280f, 1702.67836605f, 1711.89913698f, 1721.12646563f, 1730.36032233f, 1739.60067768f, 1748.84750254f, 1758.10076802f, 1767.36044551f, 1776.62650662f, 1785.89892323f, 1795.17766747f, 1804.46271172f, 1813.75402857f, 1823.05159087f, 1832.35537170f, 1841.66534438f, 1850.98148244f, 1860.30375965f, 1869.63214999f, 1878.96662767f, 1888.30716711f, 1897.65374295f, 1907.00633003f, 1916.36490342f, 1925.72943838f, 1935.09991037f, 1944.47629506f, 1953.85856831f, 1963.24670620f, 1972.64068498f, 1982.04048108f, 1991.44607117f, 2000.85743204f, 2010.27454072f, 2019.69737440f, 2029.12591044f, 2038.56012640f }; const VP8LPrefixCode kPrefixEncodeCode[PREFIX_LOOKUP_IDX_MAX] = { { 0, 0}, { 0, 0}, { 1, 0}, { 2, 0}, { 3, 0}, { 4, 1}, { 4, 1}, { 5, 1}, { 5, 1}, { 6, 2}, { 6, 2}, { 6, 2}, { 6, 2}, { 7, 2}, { 7, 2}, { 7, 2}, { 7, 2}, { 8, 3}, { 8, 3}, { 8, 3}, { 8, 3}, { 8, 3}, { 8, 3}, { 8, 3}, { 8, 3}, { 9, 3}, { 9, 3}, { 9, 3}, { 9, 3}, { 9, 3}, { 9, 3}, { 9, 3}, { 9, 3}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {10, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {11, 4}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {12, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {13, 5}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {14, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {15, 6}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {16, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, {17, 7}, }; const uint8_t kPrefixEncodeExtraBitsValue[PREFIX_LOOKUP_IDX_MAX] = { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126 }; static float FastSLog2Slow(uint32_t v) { assert(v >= LOG_LOOKUP_IDX_MAX); if (v < APPROX_LOG_WITH_CORRECTION_MAX) { int log_cnt = 0; uint32_t y = 1; int correction = 0; const float v_f = (float)v; const uint32_t orig_v = v; do { ++log_cnt; v = v >> 1; y = y << 1; } while (v >= LOG_LOOKUP_IDX_MAX); // vf = (2^log_cnt) * Xf; where y = 2^log_cnt and Xf < 256 // Xf = floor(Xf) * (1 + (v % y) / v) // log2(Xf) = log2(floor(Xf)) + log2(1 + (v % y) / v) // The correction factor: log(1 + d) ~ d; for very small d values, so // log2(1 + (v % y) / v) ~ LOG_2_RECIPROCAL * (v % y)/v // LOG_2_RECIPROCAL ~ 23/16 correction = (23 * (orig_v & (y - 1))) >> 4; return v_f * (kLog2Table[v] + log_cnt) + correction; } else { return (float)(LOG_2_RECIPROCAL * v * log((double)v)); } } static float FastLog2Slow(uint32_t v) { assert(v >= LOG_LOOKUP_IDX_MAX); if (v < APPROX_LOG_WITH_CORRECTION_MAX) { int log_cnt = 0; uint32_t y = 1; const uint32_t orig_v = v; double log_2; do { ++log_cnt; v = v >> 1; y = y << 1; } while (v >= LOG_LOOKUP_IDX_MAX); log_2 = kLog2Table[v] + log_cnt; if (orig_v >= APPROX_LOG_MAX) { // Since the division is still expensive, add this correction factor only // for large values of 'v'. const int correction = (23 * (orig_v & (y - 1))) >> 4; log_2 += (double)correction / orig_v; } return (float)log_2; } else { return (float)(LOG_2_RECIPROCAL * log((double)v)); } } //------------------------------------------------------------------------------ // Methods to calculate Entropy (Shannon). // Compute the combined Shanon's entropy for distribution {X} and {X+Y} static float CombinedShannonEntropy(const int X[256], const int Y[256]) { int i; double retval = 0.; int sumX = 0, sumXY = 0; for (i = 0; i < 256; ++i) { const int x = X[i]; if (x != 0) { const int xy = x + Y[i]; sumX += x; retval -= VP8LFastSLog2(x); sumXY += xy; retval -= VP8LFastSLog2(xy); } else if (Y[i] != 0) { sumXY += Y[i]; retval -= VP8LFastSLog2(Y[i]); } } retval += VP8LFastSLog2(sumX) + VP8LFastSLog2(sumXY); return (float)retval; } void VP8LBitEntropyInit(VP8LBitEntropy* const entropy) { entropy->entropy = 0.; entropy->sum = 0; entropy->nonzeros = 0; entropy->max_val = 0; entropy->nonzero_code = VP8L_NON_TRIVIAL_SYM; } void VP8LBitsEntropyUnrefined(const uint32_t* const array, int n, VP8LBitEntropy* const entropy) { int i; VP8LBitEntropyInit(entropy); for (i = 0; i < n; ++i) { if (array[i] != 0) { entropy->sum += array[i]; entropy->nonzero_code = i; ++entropy->nonzeros; entropy->entropy -= VP8LFastSLog2(array[i]); if (entropy->max_val < array[i]) { entropy->max_val = array[i]; } } } entropy->entropy += VP8LFastSLog2(entropy->sum); } static WEBP_INLINE void GetEntropyUnrefinedHelper( uint32_t val, int i, uint32_t* const val_prev, int* const i_prev, VP8LBitEntropy* const bit_entropy, VP8LStreaks* const stats) { const int streak = i - *i_prev; // Gather info for the bit entropy. if (*val_prev != 0) { bit_entropy->sum += (*val_prev) * streak; bit_entropy->nonzeros += streak; bit_entropy->nonzero_code = *i_prev; bit_entropy->entropy -= VP8LFastSLog2(*val_prev) * streak; if (bit_entropy->max_val < *val_prev) { bit_entropy->max_val = *val_prev; } } // Gather info for the Huffman cost. stats->counts[*val_prev != 0] += (streak > 3); stats->streaks[*val_prev != 0][(streak > 3)] += streak; *val_prev = val; *i_prev = i; } static void GetEntropyUnrefined(const uint32_t X[], int length, VP8LBitEntropy* const bit_entropy, VP8LStreaks* const stats) { int i; int i_prev = 0; uint32_t x_prev = X[0]; memset(stats, 0, sizeof(*stats)); VP8LBitEntropyInit(bit_entropy); for (i = 1; i < length; ++i) { const uint32_t x = X[i]; if (x != x_prev) { GetEntropyUnrefinedHelper(x, i, &x_prev, &i_prev, bit_entropy, stats); } } GetEntropyUnrefinedHelper(0, i, &x_prev, &i_prev, bit_entropy, stats); bit_entropy->entropy += VP8LFastSLog2(bit_entropy->sum); } static void GetCombinedEntropyUnrefined(const uint32_t X[], const uint32_t Y[], int length, VP8LBitEntropy* const bit_entropy, VP8LStreaks* const stats) { int i = 1; int i_prev = 0; uint32_t xy_prev = X[0] + Y[0]; memset(stats, 0, sizeof(*stats)); VP8LBitEntropyInit(bit_entropy); for (i = 1; i < length; ++i) { const uint32_t xy = X[i] + Y[i]; if (xy != xy_prev) { GetEntropyUnrefinedHelper(xy, i, &xy_prev, &i_prev, bit_entropy, stats); } } GetEntropyUnrefinedHelper(0, i, &xy_prev, &i_prev, bit_entropy, stats); bit_entropy->entropy += VP8LFastSLog2(bit_entropy->sum); } //------------------------------------------------------------------------------ void VP8LSubtractGreenFromBlueAndRed_C(uint32_t* argb_data, int num_pixels) { int i; for (i = 0; i < num_pixels; ++i) { const int argb = argb_data[i]; const int green = (argb >> 8) & 0xff; const uint32_t new_r = (((argb >> 16) & 0xff) - green) & 0xff; const uint32_t new_b = (((argb >> 0) & 0xff) - green) & 0xff; argb_data[i] = (argb & 0xff00ff00u) | (new_r << 16) | new_b; } } static WEBP_INLINE int ColorTransformDelta(int8_t color_pred, int8_t color) { return ((int)color_pred * color) >> 5; } void VP8LTransformColor_C(const VP8LMultipliers* const m, uint32_t* data, int num_pixels) { int i; for (i = 0; i < num_pixels; ++i) { const uint32_t argb = data[i]; const uint32_t green = argb >> 8; const uint32_t red = argb >> 16; int new_red = red; int new_blue = argb; new_red -= ColorTransformDelta(m->green_to_red_, green); new_red &= 0xff; new_blue -= ColorTransformDelta(m->green_to_blue_, green); new_blue -= ColorTransformDelta(m->red_to_blue_, red); new_blue &= 0xff; data[i] = (argb & 0xff00ff00u) | (new_red << 16) | (new_blue); } } static WEBP_INLINE uint8_t TransformColorRed(uint8_t green_to_red, uint32_t argb) { const uint32_t green = argb >> 8; int new_red = argb >> 16; new_red -= ColorTransformDelta(green_to_red, green); return (new_red & 0xff); } static WEBP_INLINE uint8_t TransformColorBlue(uint8_t green_to_blue, uint8_t red_to_blue, uint32_t argb) { const uint32_t green = argb >> 8; const uint32_t red = argb >> 16; uint8_t new_blue = argb; new_blue -= ColorTransformDelta(green_to_blue, green); new_blue -= ColorTransformDelta(red_to_blue, red); return (new_blue & 0xff); } void VP8LCollectColorRedTransforms_C(const uint32_t* argb, int stride, int tile_width, int tile_height, int green_to_red, int histo[]) { while (tile_height-- > 0) { int x; for (x = 0; x < tile_width; ++x) { ++histo[TransformColorRed(green_to_red, argb[x])]; } argb += stride; } } void VP8LCollectColorBlueTransforms_C(const uint32_t* argb, int stride, int tile_width, int tile_height, int green_to_blue, int red_to_blue, int histo[]) { while (tile_height-- > 0) { int x; for (x = 0; x < tile_width; ++x) { ++histo[TransformColorBlue(green_to_blue, red_to_blue, argb[x])]; } argb += stride; } } //------------------------------------------------------------------------------ static int VectorMismatch(const uint32_t* const array1, const uint32_t* const array2, int length) { int match_len = 0; while (match_len < length && array1[match_len] == array2[match_len]) { ++match_len; } return match_len; } // Bundles multiple (1, 2, 4 or 8) pixels into a single pixel. void VP8LBundleColorMap_C(const uint8_t* const row, int width, int xbits, uint32_t* dst) { int x; if (xbits > 0) { const int bit_depth = 1 << (3 - xbits); const int mask = (1 << xbits) - 1; uint32_t code = 0xff000000; for (x = 0; x < width; ++x) { const int xsub = x & mask; if (xsub == 0) { code = 0xff000000; } code |= row[x] << (8 + bit_depth * xsub); dst[x >> xbits] = code; } } else { for (x = 0; x < width; ++x) dst[x] = 0xff000000 | (row[x] << 8); } } //------------------------------------------------------------------------------ static double ExtraCost(const uint32_t* population, int length) { int i; double cost = 0.; for (i = 2; i < length - 2; ++i) cost += (i >> 1) * population[i + 2]; return cost; } static double ExtraCostCombined(const uint32_t* X, const uint32_t* Y, int length) { int i; double cost = 0.; for (i = 2; i < length - 2; ++i) { const int xy = X[i + 2] + Y[i + 2]; cost += (i >> 1) * xy; } return cost; } //------------------------------------------------------------------------------ static void HistogramAdd(const VP8LHistogram* const a, const VP8LHistogram* const b, VP8LHistogram* const out) { int i; const int literal_size = VP8LHistogramNumCodes(a->palette_code_bits_); assert(a->palette_code_bits_ == b->palette_code_bits_); if (b != out) { for (i = 0; i < literal_size; ++i) { out->literal_[i] = a->literal_[i] + b->literal_[i]; } for (i = 0; i < NUM_DISTANCE_CODES; ++i) { out->distance_[i] = a->distance_[i] + b->distance_[i]; } for (i = 0; i < NUM_LITERAL_CODES; ++i) { out->red_[i] = a->red_[i] + b->red_[i]; out->blue_[i] = a->blue_[i] + b->blue_[i]; out->alpha_[i] = a->alpha_[i] + b->alpha_[i]; } } else { for (i = 0; i < literal_size; ++i) { out->literal_[i] += a->literal_[i]; } for (i = 0; i < NUM_DISTANCE_CODES; ++i) { out->distance_[i] += a->distance_[i]; } for (i = 0; i < NUM_LITERAL_CODES; ++i) { out->red_[i] += a->red_[i]; out->blue_[i] += a->blue_[i]; out->alpha_[i] += a->alpha_[i]; } } } //------------------------------------------------------------------------------ // Image transforms. static WEBP_INLINE uint32_t Average2(uint32_t a0, uint32_t a1) { return (((a0 ^ a1) & 0xfefefefeu) >> 1) + (a0 & a1); } static WEBP_INLINE uint32_t Average3(uint32_t a0, uint32_t a1, uint32_t a2) { return Average2(Average2(a0, a2), a1); } static WEBP_INLINE uint32_t Average4(uint32_t a0, uint32_t a1, uint32_t a2, uint32_t a3) { return Average2(Average2(a0, a1), Average2(a2, a3)); } static WEBP_INLINE uint32_t Clip255(uint32_t a) { if (a < 256) { return a; } // return 0, when a is a negative integer. // return 255, when a is positive. return ~a >> 24; } static WEBP_INLINE int AddSubtractComponentFull(int a, int b, int c) { return Clip255(a + b - c); } static WEBP_INLINE uint32_t ClampedAddSubtractFull(uint32_t c0, uint32_t c1, uint32_t c2) { const int a = AddSubtractComponentFull(c0 >> 24, c1 >> 24, c2 >> 24); const int r = AddSubtractComponentFull((c0 >> 16) & 0xff, (c1 >> 16) & 0xff, (c2 >> 16) & 0xff); const int g = AddSubtractComponentFull((c0 >> 8) & 0xff, (c1 >> 8) & 0xff, (c2 >> 8) & 0xff); const int b = AddSubtractComponentFull(c0 & 0xff, c1 & 0xff, c2 & 0xff); return ((uint32_t)a << 24) | (r << 16) | (g << 8) | b; } static WEBP_INLINE int AddSubtractComponentHalf(int a, int b) { return Clip255(a + (a - b) / 2); } static WEBP_INLINE uint32_t ClampedAddSubtractHalf(uint32_t c0, uint32_t c1, uint32_t c2) { const uint32_t ave = Average2(c0, c1); const int a = AddSubtractComponentHalf(ave >> 24, c2 >> 24); const int r = AddSubtractComponentHalf((ave >> 16) & 0xff, (c2 >> 16) & 0xff); const int g = AddSubtractComponentHalf((ave >> 8) & 0xff, (c2 >> 8) & 0xff); const int b = AddSubtractComponentHalf((ave >> 0) & 0xff, (c2 >> 0) & 0xff); return ((uint32_t)a << 24) | (r << 16) | (g << 8) | b; } // gcc-4.9 on ARM generates incorrect code in Select() when Sub3() is inlined. #if defined(__arm__) && \ (LOCAL_GCC_VERSION == 0x409 || LOCAL_GCC_VERSION == 0x408) # define LOCAL_INLINE __attribute__ ((noinline)) #else # define LOCAL_INLINE WEBP_INLINE #endif static LOCAL_INLINE int Sub3(int a, int b, int c) { const int pb = b - c; const int pa = a - c; return abs(pb) - abs(pa); } #undef LOCAL_INLINE static WEBP_INLINE uint32_t Select(uint32_t a, uint32_t b, uint32_t c) { const int pa_minus_pb = Sub3((a >> 24) , (b >> 24) , (c >> 24) ) + Sub3((a >> 16) & 0xff, (b >> 16) & 0xff, (c >> 16) & 0xff) + Sub3((a >> 8) & 0xff, (b >> 8) & 0xff, (c >> 8) & 0xff) + Sub3((a ) & 0xff, (b ) & 0xff, (c ) & 0xff); return (pa_minus_pb <= 0) ? a : b; } //------------------------------------------------------------------------------ // Predictors static uint32_t Predictor2(uint32_t left, const uint32_t* const top) { (void)left; return top[0]; } static uint32_t Predictor3(uint32_t left, const uint32_t* const top) { (void)left; return top[1]; } static uint32_t Predictor4(uint32_t left, const uint32_t* const top) { (void)left; return top[-1]; } static uint32_t Predictor5(uint32_t left, const uint32_t* const top) { const uint32_t pred = Average3(left, top[0], top[1]); return pred; } static uint32_t Predictor6(uint32_t left, const uint32_t* const top) { const uint32_t pred = Average2(left, top[-1]); return pred; } static uint32_t Predictor7(uint32_t left, const uint32_t* const top) { const uint32_t pred = Average2(left, top[0]); return pred; } static uint32_t Predictor8(uint32_t left, const uint32_t* const top) { const uint32_t pred = Average2(top[-1], top[0]); (void)left; return pred; } static uint32_t Predictor9(uint32_t left, const uint32_t* const top) { const uint32_t pred = Average2(top[0], top[1]); (void)left; return pred; } static uint32_t Predictor10(uint32_t left, const uint32_t* const top) { const uint32_t pred = Average4(left, top[-1], top[0], top[1]); return pred; } static uint32_t Predictor11(uint32_t left, const uint32_t* const top) { const uint32_t pred = Select(top[0], left, top[-1]); return pred; } static uint32_t Predictor12(uint32_t left, const uint32_t* const top) { const uint32_t pred = ClampedAddSubtractFull(left, top[0], top[-1]); return pred; } static uint32_t Predictor13(uint32_t left, const uint32_t* const top) { const uint32_t pred = ClampedAddSubtractHalf(left, top[0], top[-1]); return pred; } //------------------------------------------------------------------------------ static void PredictorSub0_C(const uint32_t* in, const uint32_t* upper, int num_pixels, uint32_t* out) { int i; for (i = 0; i < num_pixels; ++i) out[i] = VP8LSubPixels(in[i], ARGB_BLACK); (void)upper; } static void PredictorSub1_C(const uint32_t* in, const uint32_t* upper, int num_pixels, uint32_t* out) { int i; for (i = 0; i < num_pixels; ++i) out[i] = VP8LSubPixels(in[i], in[i - 1]); (void)upper; } GENERATE_PREDICTOR_SUB(Predictor2, PredictorSub2_C) GENERATE_PREDICTOR_SUB(Predictor3, PredictorSub3_C) GENERATE_PREDICTOR_SUB(Predictor4, PredictorSub4_C) GENERATE_PREDICTOR_SUB(Predictor5, PredictorSub5_C) GENERATE_PREDICTOR_SUB(Predictor6, PredictorSub6_C) GENERATE_PREDICTOR_SUB(Predictor7, PredictorSub7_C) GENERATE_PREDICTOR_SUB(Predictor8, PredictorSub8_C) GENERATE_PREDICTOR_SUB(Predictor9, PredictorSub9_C) GENERATE_PREDICTOR_SUB(Predictor10, PredictorSub10_C) GENERATE_PREDICTOR_SUB(Predictor11, PredictorSub11_C) GENERATE_PREDICTOR_SUB(Predictor12, PredictorSub12_C) GENERATE_PREDICTOR_SUB(Predictor13, PredictorSub13_C) //------------------------------------------------------------------------------ VP8LProcessEncBlueAndRedFunc VP8LSubtractGreenFromBlueAndRed; VP8LTransformColorFunc VP8LTransformColor; VP8LCollectColorBlueTransformsFunc VP8LCollectColorBlueTransforms; VP8LCollectColorRedTransformsFunc VP8LCollectColorRedTransforms; VP8LFastLog2SlowFunc VP8LFastLog2Slow; VP8LFastLog2SlowFunc VP8LFastSLog2Slow; VP8LCostFunc VP8LExtraCost; VP8LCostCombinedFunc VP8LExtraCostCombined; VP8LCombinedShannonEntropyFunc VP8LCombinedShannonEntropy; VP8LGetEntropyUnrefinedFunc VP8LGetEntropyUnrefined; VP8LGetCombinedEntropyUnrefinedFunc VP8LGetCombinedEntropyUnrefined; VP8LHistogramAddFunc VP8LHistogramAdd; VP8LVectorMismatchFunc VP8LVectorMismatch; VP8LBundleColorMapFunc VP8LBundleColorMap; VP8LPredictorAddSubFunc VP8LPredictorsSub[16]; VP8LPredictorAddSubFunc VP8LPredictorsSub_C[16]; extern void VP8LEncDspInitSSE2(void); extern void VP8LEncDspInitSSE41(void); extern void VP8LEncDspInitNEON(void); extern void VP8LEncDspInitMIPS32(void); extern void VP8LEncDspInitMIPSdspR2(void); extern void VP8LEncDspInitMSA(void); static volatile VP8CPUInfo lossless_enc_last_cpuinfo_used = (VP8CPUInfo)&lossless_enc_last_cpuinfo_used; WEBP_TSAN_IGNORE_FUNCTION void VP8LEncDspInit(void) { if (lossless_enc_last_cpuinfo_used == VP8GetCPUInfo) return; VP8LDspInit(); VP8LSubtractGreenFromBlueAndRed = VP8LSubtractGreenFromBlueAndRed_C; VP8LTransformColor = VP8LTransformColor_C; VP8LCollectColorBlueTransforms = VP8LCollectColorBlueTransforms_C; VP8LCollectColorRedTransforms = VP8LCollectColorRedTransforms_C; VP8LFastLog2Slow = FastLog2Slow; VP8LFastSLog2Slow = FastSLog2Slow; VP8LExtraCost = ExtraCost; VP8LExtraCostCombined = ExtraCostCombined; VP8LCombinedShannonEntropy = CombinedShannonEntropy; VP8LGetEntropyUnrefined = GetEntropyUnrefined; VP8LGetCombinedEntropyUnrefined = GetCombinedEntropyUnrefined; VP8LHistogramAdd = HistogramAdd; VP8LVectorMismatch = VectorMismatch; VP8LBundleColorMap = VP8LBundleColorMap_C; VP8LPredictorsSub[0] = PredictorSub0_C; VP8LPredictorsSub[1] = PredictorSub1_C; VP8LPredictorsSub[2] = PredictorSub2_C; VP8LPredictorsSub[3] = PredictorSub3_C; VP8LPredictorsSub[4] = PredictorSub4_C; VP8LPredictorsSub[5] = PredictorSub5_C; VP8LPredictorsSub[6] = PredictorSub6_C; VP8LPredictorsSub[7] = PredictorSub7_C; VP8LPredictorsSub[8] = PredictorSub8_C; VP8LPredictorsSub[9] = PredictorSub9_C; VP8LPredictorsSub[10] = PredictorSub10_C; VP8LPredictorsSub[11] = PredictorSub11_C; VP8LPredictorsSub[12] = PredictorSub12_C; VP8LPredictorsSub[13] = PredictorSub13_C; VP8LPredictorsSub[14] = PredictorSub0_C; // <- padding security sentinels VP8LPredictorsSub[15] = PredictorSub0_C; VP8LPredictorsSub_C[0] = PredictorSub0_C; VP8LPredictorsSub_C[1] = PredictorSub1_C; VP8LPredictorsSub_C[2] = PredictorSub2_C; VP8LPredictorsSub_C[3] = PredictorSub3_C; VP8LPredictorsSub_C[4] = PredictorSub4_C; VP8LPredictorsSub_C[5] = PredictorSub5_C; VP8LPredictorsSub_C[6] = PredictorSub6_C; VP8LPredictorsSub_C[7] = PredictorSub7_C; VP8LPredictorsSub_C[8] = PredictorSub8_C; VP8LPredictorsSub_C[9] = PredictorSub9_C; VP8LPredictorsSub_C[10] = PredictorSub10_C; VP8LPredictorsSub_C[11] = PredictorSub11_C; VP8LPredictorsSub_C[12] = PredictorSub12_C; VP8LPredictorsSub_C[13] = PredictorSub13_C; VP8LPredictorsSub_C[14] = PredictorSub0_C; // <- padding security sentinels VP8LPredictorsSub_C[15] = PredictorSub0_C; // If defined, use CPUInfo() to overwrite some pointers with faster versions. if (VP8GetCPUInfo != NULL) { #if defined(WEBP_USE_SSE2) if (VP8GetCPUInfo(kSSE2)) { VP8LEncDspInitSSE2(); #if defined(WEBP_USE_SSE41) if (VP8GetCPUInfo(kSSE4_1)) { VP8LEncDspInitSSE41(); } #endif } #endif #if defined(WEBP_USE_NEON) if (VP8GetCPUInfo(kNEON)) { VP8LEncDspInitNEON(); } #endif #if defined(WEBP_USE_MIPS32) if (VP8GetCPUInfo(kMIPS32)) { VP8LEncDspInitMIPS32(); } #endif #if defined(WEBP_USE_MIPS_DSP_R2) if (VP8GetCPUInfo(kMIPSdspR2)) { VP8LEncDspInitMIPSdspR2(); } #endif #if defined(WEBP_USE_MSA) if (VP8GetCPUInfo(kMSA)) { VP8LEncDspInitMSA(); } #endif } lossless_enc_last_cpuinfo_used = VP8GetCPUInfo; } //------------------------------------------------------------------------------