ref: 338be540ce37bc7c93adfbd8d51c2127633e2278
dir: /src/tables.c/
// // Copyright(C) 1993-1996 Id Software, Inc. // Copyright(C) 2005-2014 Simon Howard // // This program is free software; you can redistribute it and/or // modify it under the terms of the GNU General Public License // as published by the Free Software Foundation; either version 2 // of the License, or (at your option) any later version. // // This program 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 General Public License for more details. // // DESCRIPTION: // Lookup tables. // Do not try to look them up :-). // In the order of appearance: // // int finetangent[4096] - Tangens LUT. // Should work with BAM fairly well (12 of 16bit, // effectively, by shifting). // // int finesine[10240] - Sine lookup. // Guess what, serves as cosine, too. // Remarkable thing is, how to use BAMs with this? // // int tantoangle[2049] - ArcTan LUT, // maps tan(angle) to angle fast. Gotta search. // // #include "tables.h" // to get a global angle from cartesian coordinates, the coordinates are // flipped until they are in the first octant of the coordinate system, then // the y (<=x) is scaled and divided by x to get a tangent (slope) value // which is looked up in the tantoangle[] table. The +1 size is to handle // the case when x==y without additional checking. int SlopeDiv(unsigned int num, unsigned int den) { unsigned ans; if (den < 512) { return SLOPERANGE; } else { ans = (num << 3) / (den >> 8); if (ans <= SLOPERANGE) { return ans; } else { return SLOPERANGE; } } } const fixed_t finetangent[4096] = { -170910304,-56965752,-34178904,-24413316,-18988036,-15535599,-13145455,-11392683, -10052327,-8994149,-8137527,-7429880,-6835455,-6329090,-5892567,-5512368, -5178251,-4882318,-4618375,-4381502,-4167737,-3973855,-3797206,-3635590, -3487165,-3350381,-3223918,-3106651,-2997613,-2895966,-2800983,-2712030, -2628549,-2550052,-2476104,-2406322,-2340362,-2277919,-2218719,-2162516, -2109087,-2058233,-2009771,-1963536,-1919378,-1877161,-1836758,-1798063, -1760956,-1725348,-1691149,-1658278,-1626658,-1596220,-1566898,-1538632, -1511367,-1485049,-1459630,-1435065,-1411312,-1388330,-1366084,-1344537, -1323658,-1303416,-1283783,-1264730,-1246234,-1228269,-1210813,-1193846, 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829,879,929,980,1030,1080,1131,1181, 1231,1281,1332,1382,1432,1483,1533,1583, 1633,1684,1734,1784,1835,1885,1935,1986, 2036,2086,2137,2187,2237,2288,2338,2388, 2439,2489,2539,2590,2640,2690,2741,2791, 2841,2892,2942,2992,3043,3093,3144,3194, 3244,3295,3345,3395,3446,3496,3547,3597, 3648,3698,3748,3799,3849,3900,3950,4001, 4051,4101,4152,4202,4253,4303,4354,4404, 4455,4505,4556,4606,4657,4707,4758,4808, 4859,4910,4960,5011,5061,5112,5162,5213, 5264,5314,5365,5415,5466,5517,5567,5618, 5668,5719,5770,5820,5871,5922,5972,6023, 6074,6124,6175,6226,6277,6327,6378,6429, 6480,6530,6581,6632,6683,6733,6784,6835, 6886,6937,6988,7038,7089,7140,7191,7242, 7293,7344,7395,7445,7496,7547,7598,7649, 7700,7751,7802,7853,7904,7955,8006,8057, 8108,8159,8210,8261,8312,8363,8414,8466, 8517,8568,8619,8670,8721,8772,8824,8875, 8926,8977,9028,9080,9131,9182,9233,9285, 9336,9387,9438,9490,9541,9592,9644,9695, 9747,9798,9849,9901,9952,10004,10055,10106, 10158,10209,10261,10312,10364,10415,10467,10519, 10570,10622,10673,10725,10777,10828,10880,10931, 10983,11035,11086,11138,11190,11242,11293,11345, 11397,11449,11501,11552,11604,11656,11708,11760, 11812,11864,11916,11967,12019,12071,12123,12175, 12227,12279,12331,12383,12436,12488,12540,12592, 12644,12696,12748,12800,12853,12905,12957,13009, 13062,13114,13166,13218,13271,13323,13375,13428, 13480,13533,13585,13637,13690,13742,13795,13847, 13900,13952,14005,14057,14110,14163,14215,14268, 14321,14373,14426,14479,14531,14584,14637,14690, 14743,14795,14848,14901,14954,15007,15060,15113, 15166,15219,15272,15325,15378,15431,15484,15537, 15590,15643,15696,15749,15802,15856,15909,15962, 16015,16069,16122,16175,16229,16282,16335,16389, 16442,16496,16549,16603,16656,16710,16763,16817, 16870,16924,16977,17031,17085,17138,17192,17246, 17300,17353,17407,17461,17515,17569,17623,17677, 17731,17784,17838,17892,17946,18001,18055,18109, 18163,18217,18271,18325,18380,18434,18488,18542, 18597,18651,18705,18760,18814,18868,18923,18977, 19032,19086,19141,19195,19250,19305,19359,19414, 19469,19523,19578,19633,19688,19742,19797,19852, 19907,19962,20017,20072,20127,20182,20237,20292, 20347,20402,20457,20513,20568,20623,20678,20734, 20789,20844,20900,20955,21010,21066,21121,21177, 21232,21288,21343,21399,21455,21510,21566,21622, 21678,21733,21789,21845,21901,21957,22013,22069, 22125,22181,22237,22293,22349,22405,22461,22517, 22573,22630,22686,22742,22799,22855,22911,22968, 23024,23081,23137,23194,23250,23307,23364,23420, 23477,23534,23591,23647,23704,23761,23818,23875, 23932,23989,24046,24103,24160,24217,24274,24331, 24389,24446,24503,24560,24618,24675,24732,24790, 24847,24905,24962,25020,25078,25135,25193,25251, 25308,25366,25424,25482,25540,25598,25656,25714, 25772,25830,25888,25946,26004,26062,26120,26179, 26237,26295,26354,26412,26471,26529,26588,26646, 26705,26763,26822,26881,26940,26998,27057,27116, 27175,27234,27293,27352,27411,27470,27529,27588, 27647,27707,27766,27825,27884,27944,28003,28063, 28122,28182,28241,28301,28361,28420,28480,28540, 28600,28660,28719,28779,28839,28899,28959,29020, 29080,29140,29200,29260,29321,29381,29441,29502, 29562,29623,29683,29744,29805,29865,29926,29987, 30048,30108,30169,30230,30291,30352,30413,30474, 30536,30597,30658,30719,30781,30842,30904,30965, 31026,31088,31150,31211,31273,31335,31396,31458, 31520,31582,31644,31706,31768,31830,31892,31955, 32017,32079,32141,32204,32266,32329,32391,32454, 32516,32579,32642,32705,32767,32830,32893,32956, 33019,33082,33145,33208,33272,33335,33398,33461, 33525,33588,33652,33715,33779,33843,33906,33970, 34034,34098,34162,34225,34289,34354,34418,34482, 34546,34610,34675,34739,34803,34868,34932,34997, 35062,35126,35191,35256,35321,35385,35450,35515, 35580,35646,35711,35776,35841,35907,35972,36037, 36103,36168,36234,36300,36365,36431,36497,36563, 36629,36695,36761,36827,36893,36959,37026,37092, 37158,37225,37291,37358,37425,37491,37558,37625, 37692,37759,37826,37893,37960,38027,38094,38161, 38229,38296,38364,38431,38499,38566,38634,38702, 38770,38837,38905,38973,39042,39110,39178,39246, 39314,39383,39451,39520,39588,39657,39726,39794, 39863,39932,40001,40070,40139,40208,40278,40347, 40416,40486,40555,40625,40694,40764,40834,40904, 40973,41043,41113,41184,41254,41324,41394,41465, 41535,41605,41676,41747,41817,41888,41959,42030, 42101,42172,42243,42314,42385,42457,42528,42600, 42671,42743,42814,42886,42958,43030,43102,43174, 43246,43318,43390,43463,43535,43608,43680,43753, 43826,43898,43971,44044,44117,44190,44263,44337, 44410,44483,44557,44630,44704,44778,44851,44925, 44999,45073,45147,45221,45296,45370,45444,45519, 45593,45668,45743,45818,45892,45967,46042,46118, 46193,46268,46343,46419,46494,46570,46646,46721, 46797,46873,46949,47025,47102,47178,47254,47331, 47407,47484,47560,47637,47714,47791,47868,47945, 48022,48100,48177,48255,48332,48410,48488,48565, 48643,48721,48799,48878,48956,49034,49113,49191, 49270,49349,49427,49506,49585,49664,49744,49823, 49902,49982,50061,50141,50221,50300,50380,50460, 50540,50621,50701,50781,50862,50942,51023,51104, 51185,51266,51347,51428,51509,51591,51672,51754, 51835,51917,51999,52081,52163,52245,52327,52410, 52492,52575,52657,52740,52823,52906,52989,53072, 53156,53239,53322,53406,53490,53574,53657,53741, 53826,53910,53994,54079,54163,54248,54333,54417, 54502,54587,54673,54758,54843,54929,55015,55100, 55186,55272,55358,55444,55531,55617,55704,55790, 55877,55964,56051,56138,56225,56312,56400,56487, 56575,56663,56751,56839,56927,57015,57104,57192, 57281,57369,57458,57547,57636,57725,57815,57904, 57994,58083,58173,58263,58353,58443,58534,58624, 58715,58805,58896,58987,59078,59169,59261,59352, 59444,59535,59627,59719,59811,59903,59996,60088, 60181,60273,60366,60459,60552,60646,60739,60833, 60926,61020,61114,61208,61302,61396,61491,61585, 61680,61775,61870,61965,62060,62156,62251,62347, 62443,62539,62635,62731,62828,62924,63021,63118, 63215,63312,63409,63506,63604,63702,63799,63897, 63996,64094,64192,64291,64389,64488,64587,64687, 64786,64885,64985,65085,65185,65285,65385,65485, 65586,65686,65787,65888,65989,66091,66192,66294, 66396,66498,66600,66702,66804,66907,67010,67113, 67216,67319,67422,67526,67629,67733,67837,67942, 68046,68151,68255,68360,68465,68570,68676,68781, 68887,68993,69099,69205,69312,69418,69525,69632, 69739,69846,69954,70061,70169,70277,70385,70494, 70602,70711,70820,70929,71038,71147,71257,71367, 71477,71587,71697,71808,71918,72029,72140,72252, 72363,72475,72587,72699,72811,72923,73036,73149, 73262,73375,73488,73602,73715,73829,73944,74058, 74172,74287,74402,74517,74633,74748,74864,74980, 75096,75213,75329,75446,75563,75680,75797,75915, 76033,76151,76269,76388,76506,76625,76744,76864, 76983,77103,77223,77343,77463,77584,77705,77826, 77947,78068,78190,78312,78434,78557,78679,78802, 78925,79048,79172,79296,79420,79544,79668,79793, 79918,80043,80168,80294,80420,80546,80672,80799, 80925,81053,81180,81307,81435,81563,81691,81820, 81949,82078,82207,82336,82466,82596,82726,82857, 82987,83118,83250,83381,83513,83645,83777,83910, 84043,84176,84309,84443,84576,84710,84845,84980, 85114,85250,85385,85521,85657,85793,85930,86066, 86204,86341,86479,86616,86755,86893,87032,87171, 87310,87450,87590,87730,87871,88011,88152,88294, 88435,88577,88720,88862,89005,89148,89292,89435, 89579,89724,89868,90013,90158,90304,90450,90596, 90742,90889,91036,91184,91332,91480,91628,91777, 91926,92075,92225,92375,92525,92675,92826,92978, 93129,93281,93434,93586,93739,93892,94046,94200, 94354,94509,94664,94819,94975,95131,95287,95444, 95601,95758,95916,96074,96233,96391,96551,96710, 96870,97030,97191,97352,97513,97675,97837,98000, 98163,98326,98489,98653,98818,98982,99148,99313, 99479,99645,99812,99979,100146,100314,100482,100651, 100820,100990,101159,101330,101500,101671,101843,102015, 102187,102360,102533,102706,102880,103054,103229,103404, 103580,103756,103933,104109,104287,104465,104643,104821, 105000,105180,105360,105540,105721,105902,106084,106266, 106449,106632,106816,107000,107184,107369,107555,107741, 107927,108114,108301,108489,108677,108866,109055,109245, 109435,109626,109817,110008,110200,110393,110586,110780, 110974,111169,111364,111560,111756,111952,112150,112347, 112546,112744,112944,113143,113344,113545,113746,113948, 114151,114354,114557,114761,114966,115171,115377,115583, 115790,115998,116206,116414,116623,116833,117044,117254, 117466,117678,117891,118104,118318,118532,118747,118963, 119179,119396,119613,119831,120050,120269,120489,120709, 120930,121152,121374,121597,121821,122045,122270,122496, 122722,122949,123176,123404,123633,123863,124093,124324, 124555,124787,125020,125254,125488,125723,125959,126195, 126432,126669,126908,127147,127387,127627,127869,128111, 128353,128597,128841,129086,129332,129578,129825,130073, 130322,130571,130821,131072,131324,131576,131830,132084, 132339,132594,132851,133108,133366,133625,133884,134145, 134406,134668,134931,135195,135459,135725,135991,136258, 136526,136795,137065,137335,137607,137879,138152,138426, 138701,138977,139254,139532,139810,140090,140370,140651, 140934,141217,141501,141786,142072,142359,142647,142936, 143226,143517,143808,144101,144395,144690,144986,145282, 145580,145879,146179,146480,146782,147084,147388,147693, 148000,148307,148615,148924,149235,149546,149859,150172, 150487,150803,151120,151438,151757,152077,152399,152722, 153045,153370,153697,154024,154352,154682,155013,155345, 155678,156013,156349,156686,157024,157363,157704,158046, 158389,158734,159079,159427,159775,160125,160476,160828, 161182,161537,161893,162251,162610,162970,163332,163695, 164060,164426,164793,165162,165532,165904,166277,166651, 167027,167405,167784,168164,168546,168930,169315,169701, 170089,170479,170870,171263,171657,172053,172451,172850, 173251,173653,174057,174463,174870,175279,175690,176102, 176516,176932,177349,177769,178190,178612,179037,179463, 179891,180321,180753,181186,181622,182059,182498,182939, 183382,183827,184274,184722,185173,185625,186080,186536, 186995,187455,187918,188382,188849,189318,189789,190261, 190736,191213,191693,192174,192658,193143,193631,194122, 194614,195109,195606,196105,196606,197110,197616,198125, 198636,199149,199664,200182,200703,201226,201751,202279, 202809,203342,203878,204416,204956,205500,206045,206594, 207145,207699,208255,208815,209376,209941,210509,211079, 211652,212228,212807,213389,213973,214561,215151,215745, 216341,216941,217544,218149,218758,219370,219985,220603, 221225,221849,222477,223108,223743,224381,225022,225666, 226314,226966,227621,228279,228941,229606,230275,230948, 231624,232304,232988,233676,234367,235062,235761,236463, 237170,237881,238595,239314,240036,240763,241493,242228, 242967,243711,244458,245210,245966,246727,247492,248261, 249035,249813,250596,251384,252176,252973,253774,254581, 255392,256208,257029,257855,258686,259522,260363,261209, 262060,262917,263779,264646,265519,266397,267280,268169, 269064,269965,270871,271782,272700,273624,274553,275489, 276430,277378,278332,279292,280258,281231,282210,283195, 284188,285186,286192,287204,288223,289249,290282,291322, 292369,293423,294485,295554,296630,297714,298805,299904, 301011,302126,303248,304379,305517,306664,307819,308983, 310154,311335,312524,313721,314928,316143,317368,318601, 319844,321097,322358,323629,324910,326201,327502,328812, 330133,331464,332805,334157,335519,336892,338276,339671, 341078,342495,343924,345364,346816,348280,349756,351244, 352744,354257,355783,357321,358872,360436,362013,363604, 365208,366826,368459,370105,371765,373440,375130,376835, 378555,380290,382040,383807,385589,387387,389202,391034, 392882,394747,396630,398530,400448,402384,404338,406311, 408303,410314,412344,414395,416465,418555,420666,422798, 424951,427125,429321,431540,433781,436045,438332,440643, 442978,445337,447720,450129,452564,455024,457511,460024, 462565,465133,467730,470355,473009,475692,478406,481150, 483925,486732,489571,492443,495348,498287,501261,504269, 507313,510394,513512,516667,519861,523094,526366,529680, 533034,536431,539870,543354,546881,550455,554074,557741, 561456,565221,569035,572901,576818,580789,584815,588896, 593033,597229,601483,605798,610174,614613,619117,623686, 628323,633028,637803,642651,647572,652568,657640,662792, 668024,673338,678737,684223,689797,695462,701219,707072, 713023,719074,725227,731486,737853,744331,750922,757631, 764460,771411,778490,785699,793041,800521,808143,815910, 823827,831898,840127,848520,857081,865817,874730,883829, 893117,902602,912289,922186,932298,942633,953199,964003, 975054,986361,997931,1009774,1021901,1034322,1047046,1060087, 1073455,1087164,1101225,1115654,1130465,1145673,1161294,1177345, 1193846,1210813,1228269,1246234,1264730,1283783,1303416,1323658, 1344537,1366084,1388330,1411312,1435065,1459630,1485049,1511367, 1538632,1566898,1596220,1626658,1658278,1691149,1725348,1760956, 1798063,1836758,1877161,1919378,1963536,2009771,2058233,2109087, 2162516,2218719,2277919,2340362,2406322,2476104,2550052,2628549, 2712030,2800983,2895966,2997613,3106651,3223918,3350381,3487165, 3635590,3797206,3973855,4167737,4381502,4618375,4882318,5178251, 5512368,5892567,6329090,6835455,7429880,8137527,8994149,10052327, 11392683,13145455,15535599,18988036,24413316,34178904,56965752,170910304 }; const fixed_t finesine[10240] = { 25,75,125,175,226,276,326,376, 427,477,527,578,628,678,728,779, 829,879,929,980,1030,1080,1130,1181, 1231,1281,1331,1382,1432,1482,1532,1583, 1633,1683,1733,1784,1834,1884,1934,1985, 2035,2085,2135,2186,2236,2286,2336,2387, 2437,2487,2537,2587,2638,2688,2738,2788, 2839,2889,2939,2989,3039,3090,3140,3190, 3240,3291,3341,3391,3441,3491,3541,3592, 3642,3692,3742,3792,3843,3893,3943,3993, 4043,4093,4144,4194,4244,4294,4344,4394, 4445,4495,4545,4595,4645,4695,4745,4796, 4846,4896,4946,4996,5046,5096,5146,5197, 5247,5297,5347,5397,5447,5497,5547,5597, 5647,5697,5748,5798,5848,5898,5948,5998, 6048,6098,6148,6198,6248,6298,6348,6398, 6448,6498,6548,6598,6648,6698,6748,6798, 6848,6898,6948,6998,7048,7098,7148,7198, 7248,7298,7348,7398,7448,7498,7548,7598, 7648,7697,7747,7797,7847,7897,7947,7997, 8047,8097,8147,8196,8246,8296,8346,8396, 8446,8496,8545,8595,8645,8695,8745,8794, 8844,8894,8944,8994,9043,9093,9143,9193, 9243,9292,9342,9392,9442,9491,9541,9591, 9640,9690,9740,9790,9839,9889,9939,9988, 10038,10088,10137,10187,10237,10286,10336,10386, 10435,10485,10534,10584,10634,10683,10733,10782, 10832,10882,10931,10981,11030,11080,11129,11179, 11228,11278,11327,11377,11426,11476,11525,11575, 11624,11674,11723,11773,11822,11872,11921,11970, 12020,12069,12119,12168,12218,12267,12316,12366, 12415,12464,12514,12563,12612,12662,12711,12760, 12810,12859,12908,12957,13007,13056,13105,13154, 13204,13253,13302,13351,13401,13450,13499,13548, 13597,13647,13696,13745,13794,13843,13892,13941, 13990,14040,14089,14138,14187,14236,14285,14334, 14383,14432,14481,14530,14579,14628,14677,14726, 14775,14824,14873,14922,14971,15020,15069,15118, 15167,15215,15264,15313,15362,15411,15460,15509, 15557,15606,15655,15704,15753,15802,15850,15899, 15948,15997,16045,16094,16143,16191,16240,16289, 16338,16386,16435,16484,16532,16581,16629,16678, 16727,16775,16824,16872,16921,16970,17018,17067, 17115,17164,17212,17261,17309,17358,17406,17455, 17503,17551,17600,17648,17697,17745,17793,17842, 17890,17939,17987,18035,18084,18132,18180,18228, 18277,18325,18373,18421,18470,18518,18566,18614, 18663,18711,18759,18807,18855,18903,18951,19000, 19048,19096,19144,19192,19240,19288,19336,19384, 19432,19480,19528,19576,19624,19672,19720,19768, 19816,19864,19912,19959,20007,20055,20103,20151, 20199,20246,20294,20342,20390,20438,20485,20533, 20581,20629,20676,20724,20772,20819,20867,20915, 20962,21010,21057,21105,21153,21200,21248,21295, 21343,21390,21438,21485,21533,21580,21628,21675, 21723,21770,21817,21865,21912,21960,22007,22054, 22102,22149,22196,22243,22291,22338,22385,22433, 22480,22527,22574,22621,22668,22716,22763,22810, 22857,22904,22951,22998,23045,23092,23139,23186, 23233,23280,23327,23374,23421,23468,23515,23562, 23609,23656,23703,23750,23796,23843,23890,23937, 23984,24030,24077,24124,24171,24217,24264,24311, 24357,24404,24451,24497,24544,24591,24637,24684, 24730,24777,24823,24870,24916,24963,25009,25056, 25102,25149,25195,25241,25288,25334,25381,25427, 25473,25520,25566,25612,25658,25705,25751,25797, 25843,25889,25936,25982,26028,26074,26120,26166, 26212,26258,26304,26350,26396,26442,26488,26534, 26580,26626,26672,26718,26764,26810,26856,26902, 26947,26993,27039,27085,27131,27176,27222,27268, 27313,27359,27405,27450,27496,27542,27587,27633, 27678,27724,27770,27815,27861,27906,27952,27997, 28042,28088,28133,28179,28224,28269,28315,28360, 28405,28451,28496,28541,28586,28632,28677,28722, 28767,28812,28858,28903,28948,28993,29038,29083, 29128,29173,29218,29263,29308,29353,29398,29443, 29488,29533,29577,29622,29667,29712,29757,29801, 29846,29891,29936,29980,30025,30070,30114,30159, 30204,30248,30293,30337,30382,30426,30471,30515, 30560,30604,30649,30693,30738,30782,30826,30871, 30915,30959,31004,31048,31092,31136,31181,31225, 31269,31313,31357,31402,31446,31490,31534,31578, 31622,31666,31710,31754,31798,31842,31886,31930, 31974,32017,32061,32105,32149,32193,32236,32280, 32324,32368,32411,32455,32499,32542,32586,32630, 32673,32717,32760,32804,32847,32891,32934,32978, 33021,33065,33108,33151,33195,33238,33281,33325, 33368,33411,33454,33498,33541,33584,33627,33670, 33713,33756,33799,33843,33886,33929,33972,34015, 34057,34100,34143,34186,34229,34272,34315,34358, 34400,34443,34486,34529,34571,34614,34657,34699, 34742,34785,34827,34870,34912,34955,34997,35040, 35082,35125,35167,35210,35252,35294,35337,35379, 35421,35464,35506,35548,35590,35633,35675,35717, 35759,35801,35843,35885,35927,35969,36011,36053, 36095,36137,36179,36221,36263,36305,36347,36388, 36430,36472,36514,36555,36597,36639,36681,36722, 36764,36805,36847,36889,36930,36972,37013,37055, 37096,37137,37179,37220,37262,37303,37344,37386, 37427,37468,37509,37551,37592,37633,37674,37715, 37756,37797,37838,37879,37920,37961,38002,38043, 38084,38125,38166,38207,38248,38288,38329,38370, 38411,38451,38492,38533,38573,38614,38655,38695, 38736,38776,38817,38857,38898,38938,38979,39019, 39059,39100,39140,39180,39221,39261,39301,39341, 39382,39422,39462,39502,39542,39582,39622,39662, 39702,39742,39782,39822,39862,39902,39942,39982, 40021,40061,40101,40141,40180,40220,40260,40300, 40339,40379,40418,40458,40497,40537,40576,40616, 40655,40695,40734,40773,40813,40852,40891,40931, 40970,41009,41048,41087,41127,41166,41205,41244, 41283,41322,41361,41400,41439,41478,41517,41556, 41595,41633,41672,41711,41750,41788,41827,41866, 41904,41943,41982,42020,42059,42097,42136,42174, 42213,42251,42290,42328,42366,42405,42443,42481, 42520,42558,42596,42634,42672,42711,42749,42787, 42825,42863,42901,42939,42977,43015,43053,43091, 43128,43166,43204,43242,43280,43317,43355,43393, 43430,43468,43506,43543,43581,43618,43656,43693, 43731,43768,43806,43843,43880,43918,43955,43992, 44029,44067,44104,44141,44178,44215,44252,44289, 44326,44363,44400,44437,44474,44511,44548,44585, 44622,44659,44695,44732,44769,44806,44842,44879, 44915,44952,44989,45025,45062,45098,45135,45171, 45207,45244,45280,45316,45353,45389,45425,45462, 45498,45534,45570,45606,45642,45678,45714,45750, 45786,45822,45858,45894,45930,45966,46002,46037, 46073,46109,46145,46180,46216,46252,46287,46323, 46358,46394,46429,46465,46500,46536,46571,46606, 46642,46677,46712,46747,46783,46818,46853,46888, 46923,46958,46993,47028,47063,47098,47133,47168, 47203,47238,47273,47308,47342,47377,47412,47446, 47481,47516,47550,47585,47619,47654,47688,47723, 47757,47792,47826,47860,47895,47929,47963,47998, 48032,48066,48100,48134,48168,48202,48237,48271, 48305,48338,48372,48406,48440,48474,48508,48542, 48575,48609,48643,48676,48710,48744,48777,48811, 48844,48878,48911,48945,48978,49012,49045,49078, 49112,49145,49178,49211,49244,49278,49311,49344, 49377,49410,49443,49476,49509,49542,49575,49608, 49640,49673,49706,49739,49771,49804,49837,49869, 49902,49935,49967,50000,50032,50065,50097,50129, 50162,50194,50226,50259,50291,50323,50355,50387, 50420,50452,50484,50516,50548,50580,50612,50644, 50675,50707,50739,50771,50803,50834,50866,50898, 50929,50961,50993,51024,51056,51087,51119,51150, 51182,51213,51244,51276,51307,51338,51369,51401, 51432,51463,51494,51525,51556,51587,51618,51649, 51680,51711,51742,51773,51803,51834,51865,51896, 51926,51957,51988,52018,52049,52079,52110,52140, 52171,52201,52231,52262,52292,52322,52353,52383, 52413,52443,52473,52503,52534,52564,52594,52624, 52653,52683,52713,52743,52773,52803,52832,52862, 52892,52922,52951,52981,53010,53040,53069,53099, 53128,53158,53187,53216,53246,53275,53304,53334, 53363,53392,53421,53450,53479,53508,53537,53566, 53595,53624,53653,53682,53711,53739,53768,53797, 53826,53854,53883,53911,53940,53969,53997,54026, 54054,54082,54111,54139,54167,54196,54224,54252, 54280,54308,54337,54365,54393,54421,54449,54477, 54505,54533,54560,54588,54616,54644,54672,54699, 54727,54755,54782,54810,54837,54865,54892,54920, 54947,54974,55002,55029,55056,55084,55111,55138, 55165,55192,55219,55246,55274,55300,55327,55354, 55381,55408,55435,55462,55489,55515,55542,55569, 55595,55622,55648,55675,55701,55728,55754,55781, 55807,55833,55860,55886,55912,55938,55965,55991, 56017,56043,56069,56095,56121,56147,56173,56199, 56225,56250,56276,56302,56328,56353,56379,56404, 56430,56456,56481,56507,56532,56557,56583,56608, 56633,56659,56684,56709,56734,56760,56785,56810, 56835,56860,56885,56910,56935,56959,56984,57009, 57034,57059,57083,57108,57133,57157,57182,57206, 57231,57255,57280,57304,57329,57353,57377,57402, 57426,57450,57474,57498,57522,57546,57570,57594, 57618,57642,57666,57690,57714,57738,57762,57785, 57809,57833,57856,57880,57903,57927,57950,57974, 57997,58021,58044,58067,58091,58114,58137,58160, 58183,58207,58230,58253,58276,58299,58322,58345, 58367,58390,58413,58436,58459,58481,58504,58527, 58549,58572,58594,58617,58639,58662,58684,58706, 58729,58751,58773,58795,58818,58840,58862,58884, 58906,58928,58950,58972,58994,59016,59038,59059, 59081,59103,59125,59146,59168,59190,59211,59233, 59254,59276,59297,59318,59340,59361,59382,59404, 59425,59446,59467,59488,59509,59530,59551,59572, 59593,59614,59635,59656,59677,59697,59718,59739, 59759,59780,59801,59821,59842,59862,59883,59903, 59923,59944,59964,59984,60004,60025,60045,60065, 60085,60105,60125,60145,60165,60185,60205,60225, 60244,60264,60284,60304,60323,60343,60363,60382, 60402,60421,60441,60460,60479,60499,60518,60537, 60556,60576,60595,60614,60633,60652,60671,60690, 60709,60728,60747,60766,60785,60803,60822,60841, 60859,60878,60897,60915,60934,60952,60971,60989, 61007,61026,61044,61062,61081,61099,61117,61135, 61153,61171,61189,61207,61225,61243,61261,61279, 61297,61314,61332,61350,61367,61385,61403,61420, 61438,61455,61473,61490,61507,61525,61542,61559, 61577,61594,61611,61628,61645,61662,61679,61696, 61713,61730,61747,61764,61780,61797,61814,61831, 61847,61864,61880,61897,61913,61930,61946,61963, 61979,61995,62012,62028,62044,62060,62076,62092, 62108,62125,62141,62156,62172,62188,62204,62220, 62236,62251,62267,62283,62298,62314,62329,62345, 62360,62376,62391,62407,62422,62437,62453,62468, 62483,62498,62513,62528,62543,62558,62573,62588, 62603,62618,62633,62648,62662,62677,62692,62706, 62721,62735,62750,62764,62779,62793,62808,62822, 62836,62850,62865,62879,62893,62907,62921,62935, 62949,62963,62977,62991,63005,63019,63032,63046, 63060,63074,63087,63101,63114,63128,63141,63155, 63168,63182,63195,63208,63221,63235,63248,63261, 63274,63287,63300,63313,63326,63339,63352,63365, 63378,63390,63403,63416,63429,63441,63454,63466, 63479,63491,63504,63516,63528,63541,63553,63565, 63578,63590,63602,63614,63626,63638,63650,63662, 63674,63686,63698,63709,63721,63733,63745,63756, 63768,63779,63791,63803,63814,63825,63837,63848, 63859,63871,63882,63893,63904,63915,63927,63938, 63949,63960,63971,63981,63992,64003,64014,64025, 64035,64046,64057,64067,64078,64088,64099,64109, 64120,64130,64140,64151,64161,64171,64181,64192, 64202,64212,64222,64232,64242,64252,64261,64271, 64281,64291,64301,64310,64320,64330,64339,64349, 64358,64368,64377,64387,64396,64405,64414,64424, 64433,64442,64451,64460,64469,64478,64487,64496, 64505,64514,64523,64532,64540,64549,64558,64566, 64575,64584,64592,64601,64609,64617,64626,64634, 64642,64651,64659,64667,64675,64683,64691,64699, 64707,64715,64723,64731,64739,64747,64754,64762, 64770,64777,64785,64793,64800,64808,64815,64822, 64830,64837,64844,64852,64859,64866,64873,64880, 64887,64895,64902,64908,64915,64922,64929,64936, 64943,64949,64956,64963,64969,64976,64982,64989, 64995,65002,65008,65015,65021,65027,65033,65040, 65046,65052,65058,65064,65070,65076,65082,65088, 65094,65099,65105,65111,65117,65122,65128,65133, 65139,65144,65150,65155,65161,65166,65171,65177, 65182,65187,65192,65197,65202,65207,65212,65217, 65222,65227,65232,65237,65242,65246,65251,65256, 65260,65265,65270,65274,65279,65283,65287,65292, 65296,65300,65305,65309,65313,65317,65321,65325, 65329,65333,65337,65341,65345,65349,65352,65356, 65360,65363,65367,65371,65374,65378,65381,65385, 65388,65391,65395,65398,65401,65404,65408,65411, 65414,65417,65420,65423,65426,65429,65431,65434, 65437,65440,65442,65445,65448,65450,65453,65455, 65458,65460,65463,65465,65467,65470,65472,65474, 65476,65478,65480,65482,65484,65486,65488,65490, 65492,65494,65496,65497,65499,65501,65502,65504, 65505,65507,65508,65510,65511,65513,65514,65515, 65516,65518,65519,65520,65521,65522,65523,65524, 65525,65526,65527,65527,65528,65529,65530,65530, 65531,65531,65532,65532,65533,65533,65534,65534, 65534,65535,65535,65535,65535,65535,65535,65535, 65535,65535,65535,65535,65535,65535,65535,65534, 65534,65534,65533,65533,65532,65532,65531,65531, 65530,65530,65529,65528,65527,65527,65526,65525, 65524,65523,65522,65521,65520,65519,65518,65516, 65515,65514,65513,65511,65510,65508,65507,65505, 65504,65502,65501,65499,65497,65496,65494,65492, 65490,65488,65486,65484,65482,65480,65478,65476, 65474,65472,65470,65467,65465,65463,65460,65458, 65455,65453,65450,65448,65445,65442,65440,65437, 65434,65431,65429,65426,65423,65420,65417,65414, 65411,65408,65404,65401,65398,65395,65391,65388, 65385,65381,65378,65374,65371,65367,65363,65360, 65356,65352,65349,65345,65341,65337,65333,65329, 65325,65321,65317,65313,65309,65305,65300,65296, 65292,65287,65283,65279,65274,65270,65265,65260, 65256,65251,65246,65242,65237,65232,65227,65222, 65217,65212,65207,65202,65197,65192,65187,65182, 65177,65171,65166,65161,65155,65150,65144,65139, 65133,65128,65122,65117,65111,65105,65099,65094, 65088,65082,65076,65070,65064,65058,65052,65046, 65040,65033,65027,65021,65015,65008,65002,64995, 64989,64982,64976,64969,64963,64956,64949,64943, 64936,64929,64922,64915,64908,64902,64895,64887, 64880,64873,64866,64859,64852,64844,64837,64830, 64822,64815,64808,64800,64793,64785,64777,64770, 64762,64754,64747,64739,64731,64723,64715,64707, 64699,64691,64683,64675,64667,64659,64651,64642, 64634,64626,64617,64609,64600,64592,64584,64575, 64566,64558,64549,64540,64532,64523,64514,64505, 64496,64487,64478,64469,64460,64451,64442,64433, 64424,64414,64405,64396,64387,64377,64368,64358, 64349,64339,64330,64320,64310,64301,64291,64281, 64271,64261,64252,64242,64232,64222,64212,64202, 64192,64181,64171,64161,64151,64140,64130,64120, 64109,64099,64088,64078,64067,64057,64046,64035, 64025,64014,64003,63992,63981,63971,63960,63949, 63938,63927,63915,63904,63893,63882,63871,63859, 63848,63837,63825,63814,63803,63791,63779,63768, 63756,63745,63733,63721,63709,63698,63686,63674, 63662,63650,63638,63626,63614,63602,63590,63578, 63565,63553,63541,63528,63516,63504,63491,63479, 63466,63454,63441,63429,63416,63403,63390,63378, 63365,63352,63339,63326,63313,63300,63287,63274, 63261,63248,63235,63221,63208,63195,63182,63168, 63155,63141,63128,63114,63101,63087,63074,63060, 63046,63032,63019,63005,62991,62977,62963,62949, 62935,62921,62907,62893,62879,62865,62850,62836, 62822,62808,62793,62779,62764,62750,62735,62721, 62706,62692,62677,62662,62648,62633,62618,62603, 62588,62573,62558,62543,62528,62513,62498,62483, 62468,62453,62437,62422,62407,62391,62376,62360, 62345,62329,62314,62298,62283,62267,62251,62236, 62220,62204,62188,62172,62156,62141,62125,62108, 62092,62076,62060,62044,62028,62012,61995,61979, 61963,61946,61930,61913,61897,61880,61864,61847, 61831,61814,61797,61780,61764,61747,61730,61713, 61696,61679,61662,61645,61628,61611,61594,61577, 61559,61542,61525,61507,61490,61473,61455,61438, 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43731,43768,43806,43843,43880,43918,43955,43992, 44029,44067,44104,44141,44178,44215,44252,44289, 44326,44363,44400,44437,44474,44511,44548,44585, 44622,44659,44695,44732,44769,44806,44842,44879, 44915,44952,44989,45025,45062,45098,45135,45171, 45207,45244,45280,45316,45353,45389,45425,45462, 45498,45534,45570,45606,45642,45678,45714,45750, 45786,45822,45858,45894,45930,45966,46002,46037, 46073,46109,46145,46180,46216,46252,46287,46323, 46358,46394,46429,46465,46500,46536,46571,46606, 46642,46677,46712,46747,46783,46818,46853,46888, 46923,46958,46993,47028,47063,47098,47133,47168, 47203,47238,47273,47308,47342,47377,47412,47446, 47481,47516,47550,47585,47619,47654,47688,47723, 47757,47792,47826,47861,47895,47929,47963,47998, 48032,48066,48100,48134,48168,48202,48237,48271, 48305,48338,48372,48406,48440,48474,48508,48542, 48575,48609,48643,48676,48710,48744,48777,48811, 48844,48878,48911,48945,48978,49012,49045,49078, 49112,49145,49178,49211,49244,49278,49311,49344, 49377,49410,49443,49476,49509,49542,49575,49608, 49640,49673,49706,49739,49771,49804,49837,49869, 49902,49935,49967,50000,50032,50064,50097,50129, 50162,50194,50226,50259,50291,50323,50355,50387, 50420,50452,50484,50516,50548,50580,50612,50644, 50675,50707,50739,50771,50803,50834,50866,50898, 50929,50961,50993,51024,51056,51087,51119,51150, 51182,51213,51244,51276,51307,51338,51369,51401, 51432,51463,51494,51525,51556,51587,51618,51649, 51680,51711,51742,51773,51803,51834,51865,51896, 51926,51957,51988,52018,52049,52079,52110,52140, 52171,52201,52231,52262,52292,52322,52353,52383, 52413,52443,52473,52503,52534,52564,52594,52624, 52653,52683,52713,52743,52773,52803,52832,52862, 52892,52922,52951,52981,53010,53040,53069,53099, 53128,53158,53187,53216,53246,53275,53304,53334, 53363,53392,53421,53450,53479,53508,53537,53566, 53595,53624,53653,53682,53711,53739,53768,53797, 53826,53854,53883,53912,53940,53969,53997,54026, 54054,54082,54111,54139,54167,54196,54224,54252, 54280,54309,54337,54365,54393,54421,54449,54477, 54505,54533,54560,54588,54616,54644,54672,54699, 54727,54755,54782,54810,54837,54865,54892,54920, 54947,54974,55002,55029,55056,55084,55111,55138, 55165,55192,55219,55246,55274,55300,55327,55354, 55381,55408,55435,55462,55489,55515,55542,55569, 55595,55622,55648,55675,55701,55728,55754,55781, 55807,55833,55860,55886,55912,55938,55965,55991, 56017,56043,56069,56095,56121,56147,56173,56199, 56225,56250,56276,56302,56328,56353,56379,56404, 56430,56456,56481,56507,56532,56557,56583,56608, 56633,56659,56684,56709,56734,56760,56785,56810, 56835,56860,56885,56910,56935,56959,56984,57009, 57034,57059,57083,57108,57133,57157,57182,57206, 57231,57255,57280,57304,57329,57353,57377,57402, 57426,57450,57474,57498,57522,57546,57570,57594, 57618,57642,57666,57690,57714,57738,57762,57785, 57809,57833,57856,57880,57903,57927,57950,57974, 57997,58021,58044,58067,58091,58114,58137,58160, 58183,58207,58230,58253,58276,58299,58322,58345, 58367,58390,58413,58436,58459,58481,58504,58527, 58549,58572,58594,58617,58639,58662,58684,58706, 58729,58751,58773,58795,58818,58840,58862,58884, 58906,58928,58950,58972,58994,59016,59038,59059, 59081,59103,59125,59146,59168,59190,59211,59233, 59254,59276,59297,59318,59340,59361,59382,59404, 59425,59446,59467,59488,59509,59530,59551,59572, 59593,59614,59635,59656,59677,59697,59718,59739, 59759,59780,59801,59821,59842,59862,59883,59903, 59923,59944,59964,59984,60004,60025,60045,60065, 60085,60105,60125,60145,60165,60185,60205,60225, 60244,60264,60284,60304,60323,60343,60363,60382, 60402,60421,60441,60460,60479,60499,60518,60537, 60556,60576,60595,60614,60633,60652,60671,60690, 60709,60728,60747,60766,60785,60803,60822,60841, 60859,60878,60897,60915,60934,60952,60971,60989, 61007,61026,61044,61062,61081,61099,61117,61135, 61153,61171,61189,61207,61225,61243,61261,61279, 61297,61314,61332,61350,61367,61385,61403,61420, 61438,61455,61473,61490,61507,61525,61542,61559, 61577,61594,61611,61628,61645,61662,61679,61696, 61713,61730,61747,61764,61780,61797,61814,61831, 61847,61864,61880,61897,61913,61930,61946,61963, 61979,61995,62012,62028,62044,62060,62076,62092, 62108,62125,62141,62156,62172,62188,62204,62220, 62236,62251,62267,62283,62298,62314,62329,62345, 62360,62376,62391,62407,62422,62437,62453,62468, 62483,62498,62513,62528,62543,62558,62573,62588, 62603,62618,62633,62648,62662,62677,62692,62706, 62721,62735,62750,62764,62779,62793,62808,62822, 62836,62850,62865,62879,62893,62907,62921,62935, 62949,62963,62977,62991,63005,63019,63032,63046, 63060,63074,63087,63101,63114,63128,63141,63155, 63168,63182,63195,63208,63221,63235,63248,63261, 63274,63287,63300,63313,63326,63339,63352,63365, 63378,63390,63403,63416,63429,63441,63454,63466, 63479,63491,63504,63516,63528,63541,63553,63565, 63578,63590,63602,63614,63626,63638,63650,63662, 63674,63686,63698,63709,63721,63733,63745,63756, 63768,63779,63791,63803,63814,63825,63837,63848, 63859,63871,63882,63893,63904,63915,63927,63938, 63949,63960,63971,63981,63992,64003,64014,64025, 64035,64046,64057,64067,64078,64088,64099,64109, 64120,64130,64140,64151,64161,64171,64181,64192, 64202,64212,64222,64232,64242,64252,64261,64271, 64281,64291,64301,64310,64320,64330,64339,64349, 64358,64368,64377,64387,64396,64405,64414,64424, 64433,64442,64451,64460,64469,64478,64487,64496, 64505,64514,64523,64532,64540,64549,64558,64566, 64575,64584,64592,64600,64609,64617,64626,64634, 64642,64651,64659,64667,64675,64683,64691,64699, 64707,64715,64723,64731,64739,64747,64754,64762, 64770,64777,64785,64793,64800,64808,64815,64822, 64830,64837,64844,64852,64859,64866,64873,64880, 64887,64895,64902,64908,64915,64922,64929,64936, 64943,64949,64956,64963,64969,64976,64982,64989, 64995,65002,65008,65015,65021,65027,65033,65040, 65046,65052,65058,65064,65070,65076,65082,65088, 65094,65099,65105,65111,65117,65122,65128,65133, 65139,65144,65150,65155,65161,65166,65171,65177, 65182,65187,65192,65197,65202,65207,65212,65217, 65222,65227,65232,65237,65242,65246,65251,65256, 65260,65265,65270,65274,65279,65283,65287,65292, 65296,65300,65305,65309,65313,65317,65321,65325, 65329,65333,65337,65341,65345,65349,65352,65356, 65360,65363,65367,65371,65374,65378,65381,65385, 65388,65391,65395,65398,65401,65404,65408,65411, 65414,65417,65420,65423,65426,65429,65431,65434, 65437,65440,65442,65445,65448,65450,65453,65455, 65458,65460,65463,65465,65467,65470,65472,65474, 65476,65478,65480,65482,65484,65486,65488,65490, 65492,65494,65496,65497,65499,65501,65502,65504, 65505,65507,65508,65510,65511,65513,65514,65515, 65516,65518,65519,65520,65521,65522,65523,65524, 65525,65526,65527,65527,65528,65529,65530,65530, 65531,65531,65532,65532,65533,65533,65534,65534, 65534,65535,65535,65535,65535,65535,65535,65535 }; const fixed_t *finecosine = &finesine[FINEANGLES/4]; const angle_t tantoangle[2049] = { 0,333772,667544,1001315,1335086,1668857,2002626,2336395, 2670163,3003929,3337694,3671457,4005219,4338979,4672736,5006492, 5340245,5673995,6007743,6341488,6675230,7008968,7342704,7676435, 8010164,8343888,8677609,9011325,9345037,9678744,10012447,10346145, 10679838,11013526,11347209,11680887,12014558,12348225,12681885,13015539, 13349187,13682829,14016464,14350092,14683714,15017328,15350936,15684536, 16018129,16351714,16685291,17018860,17352422,17685974,18019518,18353054, 18686582,19020100,19353610,19687110,20020600,20354080,20687552,21021014, 21354466,21687906,22021338,22354758,22688168,23021568,23354956,23688332, 24021698,24355052,24688396,25021726,25355046,25688352,26021648,26354930, 26688200,27021456,27354702,27687932,28021150,28354356,28687548,29020724, 29353888,29687038,30020174,30353296,30686404,31019496,31352574,31685636, 32018684,32351718,32684734,33017736,33350722,33683692,34016648,34349584, 34682508,35015412,35348300,35681172,36014028,36346868,36679688,37012492, 37345276,37678044,38010792,38343524,38676240,39008936,39341612,39674272, 40006912,40339532,40672132,41004716,41337276,41669820,42002344,42334848, 42667332,42999796,43332236,43664660,43997060,44329444,44661800,44994140, 45326456,45658752,45991028,46323280,46655512,46987720,47319908,47652072, 47984212,48316332,48648428,48980500,49312548,49644576,49976580,50308556, 50640512,50972444,51304352,51636236,51968096,52299928,52631740,52963524, 53295284,53627020,53958728,54290412,54622068,54953704,55285308,55616888, 55948444,56279972,56611472,56942948,57274396,57605816,57937212,58268576, 58599916,58931228,59262512,59593768,59924992,60256192,60587364,60918508, 61249620,61580704,61911760,62242788,62573788,62904756,63235692,63566604, 63897480,64228332,64559148,64889940,65220696,65551424,65882120,66212788, 66543420,66874024,67204600,67535136,67865648,68196120,68526568,68856984, 69187360,69517712,69848024,70178304,70508560,70838776,71168960,71499112, 71829224,72159312,72489360,72819376,73149360,73479304,73809216,74139096, 74468936,74798744,75128520,75458264,75787968,76117632,76447264,76776864, 77106424,77435952,77765440,78094888,78424304,78753688,79083032,79412336, 79741608,80070840,80400032,80729192,81058312,81387392,81716432,82045440, 82374408,82703336,83032224,83361080,83689896,84018664,84347400,84676096, 85004760,85333376,85661952,85990488,86318984,86647448,86975864,87304240, 87632576,87960872,88289128,88617344,88945520,89273648,89601736,89929792, 90257792,90585760,90913688,91241568,91569408,91897200,92224960,92552672, 92880336,93207968,93535552,93863088,94190584,94518040,94845448,95172816, 95500136,95827416,96154648,96481832,96808976,97136080,97463136,97790144, 98117112,98444032,98770904,99097736,99424520,99751256,100077944,100404592, 100731192,101057744,101384248,101710712,102037128,102363488,102689808,103016080, 103342312,103668488,103994616,104320696,104646736,104972720,105298656,105624552, 105950392,106276184,106601928,106927624,107253272,107578872,107904416,108229920, 108555368,108880768,109206120,109531416,109856664,110181872,110507016,110832120, 111157168,111482168,111807112,112132008,112456856,112781648,113106392,113431080, 113755720,114080312,114404848,114729328,115053760,115378136,115702464,116026744, 116350960,116675128,116999248,117323312,117647320,117971272,118295176,118619024, 118942816,119266560,119590248,119913880,120237456,120560984,120884456,121207864, 121531224,121854528,122177784,122500976,122824112,123147200,123470224,123793200, 124116120,124438976,124761784,125084528,125407224,125729856,126052432,126374960, 126697424,127019832,127342184,127664472,127986712,128308888,128631008,128953072, 129275080,129597024,129918912,130240744,130562520,130884232,131205888,131527480, 131849016,132170496,132491912,132813272,133134576,133455816,133776992,134098120, 134419184,134740176,135061120,135382000,135702816,136023584,136344272,136664912, 136985488,137306016,137626464,137946864,138267184,138587456,138907664,139227808, 139547904,139867920,140187888,140507776,140827616,141147392,141467104,141786752, 142106336,142425856,142745312,143064720,143384048,143703312,144022512,144341664, 144660736,144979744,145298704,145617584,145936400,146255168,146573856,146892480, 147211040,147529536,147847968,148166336,148484640,148802880,149121056,149439152, 149757200,150075168,150393072,150710912,151028688,151346400,151664048,151981616, 152299136,152616576,152933952,153251264,153568496,153885680,154202784,154519824, 154836784,155153696,155470528,155787296,156104000,156420624,156737200,157053696, 157370112,157686480,158002768,158318976,158635136,158951216,159267232,159583168, 159899040,160214848,160530592,160846256,161161840,161477376,161792832,162108208, 162423520,162738768,163053952,163369040,163684080,163999040,164313936,164628752, 164943504,165258176,165572784,165887312,166201776,166516160,166830480,167144736, 167458912,167773008,168087040,168400992,168714880,169028688,169342432,169656096, 169969696,170283216,170596672,170910032,171223344,171536576,171849728,172162800, 172475808,172788736,173101600,173414384,173727104,174039728,174352288,174664784, 174977200,175289536,175601792,175913984,176226096,176538144,176850096,177161984, 177473792,177785536,178097200,178408784,178720288,179031728,179343088,179654368, 179965568,180276704,180587744,180898720,181209616,181520448,181831184,182141856, 182452448,182762960,183073408,183383760,183694048,184004240,184314368,184624416, 184934400,185244288,185554096,185863840,186173504,186483072,186792576,187102000, 187411344,187720608,188029808,188338912,188647936,188956896,189265760,189574560, 189883264,190191904,190500448,190808928,191117312,191425632,191733872,192042016, 192350096,192658096,192966000,193273840,193581584,193889264,194196848,194504352, 194811792,195119136,195426400,195733584,196040688,196347712,196654656,196961520, 197268304,197574992,197881616,198188144,198494592,198800960,199107248,199413456, 199719584,200025616,200331584,200637456,200943248,201248960,201554576,201860128, 202165584,202470960,202776256,203081456,203386592,203691632,203996592,204301472, 204606256,204910976,205215600,205520144,205824592,206128960,206433248,206737456, 207041584,207345616,207649568,207953424,208257216,208560912,208864512,209168048, 209471488,209774832,210078112,210381296,210684384,210987408,211290336,211593184, 211895936,212198608,212501184,212803680,213106096,213408432,213710672,214012816, 214314880,214616864,214918768,215220576,215522288,215823920,216125472,216426928, 216728304,217029584,217330784,217631904,217932928,218233856,218534704,218835472, 219136144,219436720,219737216,220037632,220337952,220638192,220938336,221238384, 221538352,221838240,222138032,222437728,222737344,223036880,223336304,223635664, 223934912,224234096,224533168,224832160,225131072,225429872,225728608,226027232, 226325776,226624240,226922608,227220880,227519056,227817152,228115168,228413088, 228710912,229008640,229306288,229603840,229901312,230198688,230495968,230793152, 231090256,231387280,231684192,231981024,232277760,232574416,232870960,233167440, 233463808,233760096,234056288,234352384,234648384,234944304,235240128,235535872, 235831504,236127056,236422512,236717888,237013152,237308336,237603424,237898416, 238193328,238488144,238782864,239077488,239372016,239666464,239960816,240255072, 240549232,240843312,241137280,241431168,241724960,242018656,242312256,242605776, 242899200,243192512,243485744,243778896,244071936,244364880,244657744,244950496, 245243168,245535744,245828224,246120608,246412912,246705104,246997216,247289216, 247581136,247872960,248164688,248456320,248747856,249039296,249330640,249621904, 249913056,250204128,250495088,250785968,251076736,251367424,251658016,251948512, 252238912,252529200,252819408,253109520,253399536,253689456,253979280,254269008, 254558640,254848176,255137632,255426976,255716224,256005376,256294432,256583392, 256872256,257161024,257449696,257738272,258026752,258315136,258603424,258891600, 259179696,259467696,259755600,260043392,260331104,260618704,260906224,261193632, 261480960,261768176,262055296,262342320,262629248,262916080,263202816,263489456, 263776000,264062432,264348784,264635024,264921168,265207216,265493168,265779024, 266064784,266350448,266636000,266921472,267206832,267492096,267777264,268062336, 268347312,268632192,268916960,269201632,269486208,269770688,270055072,270339360, 270623552,270907616,271191616,271475488,271759296,272042976,272326560,272610048, 272893440,273176736,273459936,273743040,274026048,274308928,274591744,274874432, 275157024,275439520,275721920,276004224,276286432,276568512,276850528,277132416, 277414240,277695936,277977536,278259040,278540448,278821728,279102944,279384032, 279665056,279945952,280226752,280507456,280788064,281068544,281348960,281629248, 281909472,282189568,282469568,282749440,283029248,283308960,283588544,283868032, 284147424,284426720,284705920,284985024,285264000,285542912,285821696,286100384, 286378976,286657440,286935840,287214112,287492320,287770400,288048384,288326240, 288604032,288881696,289159264,289436768,289714112,289991392,290268576,290545632, 290822592,291099456,291376224,291652896,291929440,292205888,292482272,292758528, 293034656,293310720,293586656,293862496,294138240,294413888,294689440,294964864, 295240192,295515424,295790560,296065600,296340512,296615360,296890080,297164704, 297439200,297713632,297987936,298262144,298536256,298810240,299084160,299357952, 299631648,299905248,300178720,300452128,300725408,300998592,301271680,301544640, 301817536,302090304,302362976,302635520,302908000,303180352,303452608,303724768, 303996800,304268768,304540608,304812320,305083968,305355520,305626944,305898272, 306169472,306440608,306711616,306982528,307253344,307524064,307794656,308065152, 308335552,308605856,308876032,309146112,309416096,309685984,309955744,310225408, 310494976,310764448,311033824,311303072,311572224,311841280,312110208,312379040, 312647776,312916416,313184960,313453376,313721696,313989920,314258016,314526016, 314793920,315061728,315329408,315597024,315864512,316131872,316399168,316666336, 316933408,317200384,317467232,317733984,318000640,318267200,318533632,318799968, 319066208,319332352,319598368,319864288,320130112,320395808,320661408,320926912, 321192320,321457632,321722816,321987904,322252864,322517760,322782528,323047200, 323311744,323576192,323840544,324104800,324368928,324632992,324896928,325160736, 325424448,325688096,325951584,326215008,326478304,326741504,327004608,327267584, 327530464,327793248,328055904,328318496,328580960,328843296,329105568,329367712, 329629760,329891680,330153536,330415264,330676864,330938400,331199808,331461120, 331722304,331983392,332244384,332505280,332766048,333026752,333287296,333547776, 333808128,334068384,334328544,334588576,334848512,335108352,335368064,335627712, 335887200,336146624,336405920,336665120,336924224,337183200,337442112,337700864, 337959552,338218112,338476576,338734944,338993184,339251328,339509376,339767296, 340025120,340282848,340540480,340797984,341055392,341312704,341569888,341826976, 342083968,342340832,342597600,342854272,343110848,343367296,343623648,343879904, 344136032,344392064,344648000,344903808,345159520,345415136,345670656,345926048, 346181344,346436512,346691616,346946592,347201440,347456224,347710880,347965440, 348219872,348474208,348728448,348982592,349236608,349490528,349744320,349998048, 350251648,350505152,350758528,351011808,351264992,351518048,351771040,352023872, 352276640,352529280,352781824,353034272,353286592,353538816,353790944,354042944, 354294880,354546656,354798368,355049952,355301440,355552800,355804096,356055264, 356306304,356557280,356808128,357058848,357309504,357560032,357810464,358060768, 358311008,358561088,358811104,359060992,359310784,359560480,359810048,360059520, 360308896,360558144,360807296,361056352,361305312,361554144,361802880,362051488, 362300032,362548448,362796736,363044960,363293056,363541024,363788928,364036704, 364284384,364531936,364779392,365026752,365274016,365521152,365768192,366015136, 366261952,366508672,366755296,367001792,367248192,367494496,367740704,367986784, 368232768,368478656,368724416,368970080,369215648,369461088,369706432,369951680, 370196800,370441824,370686752,370931584,371176288,371420896,371665408,371909792, 372154080,372398272,372642336,372886304,373130176,373373952,373617600,373861152, 374104608,374347936,374591168,374834304,375077312,375320224,375563040,375805760, 376048352,376290848,376533248,376775520,377017696,377259776,377501728,377743584, 377985344,378227008,378468544,378709984,378951328,379192544,379433664,379674688, 379915584,380156416,380397088,380637696,380878176,381118560,381358848,381599040, 381839104,382079072,382318912,382558656,382798304,383037856,383277280,383516640, 383755840,383994976,384233984,384472896,384711712,384950400,385188992,385427488, 385665888,385904160,386142336,386380384,386618368,386856224,387093984,387331616, 387569152,387806592,388043936,388281152,388518272,388755296,388992224,389229024, 389465728,389702336,389938816,390175200,390411488,390647680,390883744,391119712, 391355584,391591328,391826976,392062528,392297984,392533312,392768544,393003680, 393238720,393473632,393708448,393943168,394177760,394412256,394646656,394880960, 395115136,395349216,395583200,395817088,396050848,396284512,396518080,396751520, 396984864,397218112,397451264,397684288,397917248,398150080,398382784,398615424, 398847936,399080320,399312640,399544832,399776928,400008928,400240832,400472608, 400704288,400935872,401167328,401398720,401629984,401861120,402092192,402323136, 402553984,402784736,403015360,403245888,403476320,403706656,403936896,404167008, 404397024,404626944,404856736,405086432,405316032,405545536,405774912,406004224, 406233408,406462464,406691456,406920320,407149088,407377760,407606336,407834784, 408063136,408291392,408519520,408747584,408975520,409203360,409431072,409658720, 409886240,410113664,410340992,410568192,410795296,411022304,411249216,411476032, 411702720,411929312,412155808,412382176,412608480,412834656,413060736,413286720, 413512576,413738336,413964000,414189568,414415040,414640384,414865632,415090784, 415315840,415540800,415765632,415990368,416215008,416439552,416663968,416888288, 417112512,417336640,417560672,417784576,418008384,418232096,418455712,418679200, 418902624,419125920,419349120,419572192,419795200,420018080,420240864,420463552, 420686144,420908608,421130976,421353280,421575424,421797504,422019488,422241344, 422463104,422684768,422906336,423127776,423349120,423570400,423791520,424012576, 424233536,424454368,424675104,424895744,425116288,425336736,425557056,425777280, 425997408,426217440,426437376,426657184,426876928,427096544,427316064,427535488, 427754784,427974016,428193120,428412128,428631040,428849856,429068544,429287168, 429505664,429724064,429942368,430160576,430378656,430596672,430814560,431032352, 431250048,431467616,431685120,431902496,432119808,432336992,432554080,432771040, 432987936,433204736,433421408,433637984,433854464,434070848,434287104,434503296, 434719360,434935360,435151232,435367008,435582656,435798240,436013696,436229088, 436444352,436659520,436874592,437089568,437304416,437519200,437733856,437948416, 438162880,438377248,438591520,438805696,439019744,439233728,439447584,439661344, 439875008,440088576,440302048,440515392,440728672,440941824,441154880,441367872, 441580736,441793472,442006144,442218720,442431168,442643552,442855808,443067968, 443280032,443492000,443703872,443915648,444127296,444338880,444550336,444761696, 444972992,445184160,445395232,445606176,445817056,446027840,446238496,446449088, 446659552,446869920,447080192,447290400,447500448,447710432,447920320,448130112, 448339776,448549376,448758848,448968224,449177536,449386720,449595808,449804800, 450013664,450222464,450431168,450639776,450848256,451056640,451264960,451473152, 451681248,451889248,452097152,452304960,452512672,452720288,452927808,453135232, 453342528,453549760,453756864,453963904,454170816,454377632,454584384,454791008, 454997536,455203968,455410304,455616544,455822688,456028704,456234656,456440512, 456646240,456851904,457057472,457262912,457468256,457673536,457878688,458083744, 458288736,458493600,458698368,458903040,459107616,459312096,459516480,459720768, 459924960,460129056,460333056,460536960,460740736,460944448,461148064,461351584, 461554976,461758304,461961536,462164640,462367680,462570592,462773440,462976160, 463178816,463381344,463583776,463786144,463988384,464190560,464392608,464594560, 464796448,464998208,465199872,465401472,465602944,465804320,466005600,466206816, 466407904,466608896,466809824,467010624,467211328,467411936,467612480,467812896, 468013216,468213440,468413600,468613632,468813568,469013440,469213184,469412832, 469612416,469811872,470011232,470210528,470409696,470608800,470807776,471006688, 471205472,471404192,471602784,471801312,471999712,472198048,472396288,472594400, 472792448,472990400,473188256,473385984,473583648,473781216,473978688,474176064, 474373344,474570528,474767616,474964608,475161504,475358336,475555040,475751648, 475948192,476144608,476340928,476537184,476733312,476929376,477125344,477321184, 477516960,477712640,477908224,478103712,478299104,478494400,478689600,478884704, 479079744,479274656,479469504,479664224,479858880,480053408,480247872,480442240, 480636512,480830656,481024736,481218752,481412640,481606432,481800128,481993760, 482187264,482380704,482574016,482767264,482960416,483153472,483346432,483539296, 483732064,483924768,484117344,484309856,484502240,484694560,484886784,485078912, 485270944,485462880,485654720,485846464,486038144,486229696,486421184,486612576, 486803840,486995040,487186176,487377184,487568096,487758912,487949664,488140320, 488330880,488521312,488711712,488901984,489092160,489282240,489472256,489662176, 489851968,490041696,490231328,490420896,490610336,490799712,490988960,491178144, 491367232,491556224,491745120,491933920,492122656,492311264,492499808,492688256, 492876608,493064864,493253056,493441120,493629120,493817024,494004832,494192544, 494380160,494567712,494755136,494942496,495129760,495316928,495504000,495691008, 495877888,496064704,496251424,496438048,496624608,496811040,496997408,497183680, 497369856,497555936,497741920,497927840,498113632,498299360,498484992,498670560, 498856000,499041376,499226656,499411840,499596928,499781920,499966848,500151680, 500336416,500521056,500705600,500890080,501074464,501258752,501442944,501627040, 501811072,501995008,502178848,502362592,502546240,502729824,502913312,503096704, 503280000,503463232,503646368,503829408,504012352,504195200,504377984,504560672, 504743264,504925760,505108192,505290496,505472736,505654912,505836960,506018944, 506200832,506382624,506564320,506745952,506927488,507108928,507290272,507471552, 507652736,507833824,508014816,508195744,508376576,508557312,508737952,508918528, 509099008,509279392,509459680,509639904,509820032,510000064,510180000,510359872, 510539648,510719328,510898944,511078432,511257856,511437216,511616448,511795616, 511974688,512153664,512332576,512511392,512690112,512868768,513047296,513225792, 513404160,513582432,513760640,513938784,514116800,514294752,514472608,514650368, 514828064,515005664,515183168,515360608,515537952,515715200,515892352,516069440, 516246432,516423328,516600160,516776896,516953536,517130112,517306592,517482976, 517659264,517835488,518011616,518187680,518363648,518539520,518715296,518891008, 519066624,519242144,519417600,519592960,519768256,519943424,520118528,520293568, 520468480,520643328,520818112,520992800,521167392,521341888,521516320,521690656, 521864896,522039072,522213152,522387168,522561056,522734912,522908640,523082304, 523255872,523429376,523602784,523776096,523949312,524122464,524295552,524468512, 524641440,524814240,524986976,525159616,525332192,525504640,525677056,525849344, 526021568,526193728,526365792,526537760,526709632,526881440,527053152,527224800, 527396352,527567840,527739200,527910528,528081728,528252864,528423936,528594880, 528765760,528936576,529107296,529277920,529448480,529618944,529789344,529959648, 530129856,530300000,530470048,530640000,530809888,530979712,531149440,531319072, 531488608,531658080,531827488,531996800,532166016,532335168,532504224,532673184, 532842080,533010912,533179616,533348288,533516832,533685312,533853728,534022048, 534190272,534358432,534526496,534694496,534862400,535030240,535197984,535365632, 535533216,535700704,535868128,536035456,536202720,536369888,536536992,536704000, 536870912 }; // Now where did these came from? const byte gammatable[5][256] = { { 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, 113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128, 128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143, 144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159, 160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175, 176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191, 192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207, 208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223, 224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239, 240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255 }, { 2,4,5,7,8,10,11,12,14,15,16,18,19,20,21,23, 24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41, 42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59, 60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76, 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, 125,126,127,128,129,129,130,131,132,133,134,135,136,137,138,139, 140,141,142,143,144,145,146,147,148,148,149,150,151,152,153,154, 155,156,157,158,159,160,161,162,163,163,164,165,166,167,168,169, 170,171,172,173,174,175,175,176,177,178,179,180,181,182,183,184, 185,186,186,187,188,189,190,191,192,193,194,195,196,196,197,198, 199,200,201,202,203,204,205,205,206,207,208,209,210,211,212,213, 214,214,215,216,217,218,219,220,221,222,222,223,224,225,226,227, 228,229,230,230,231,232,233,234,235,236,237,237,238,239,240,241, 242,243,244,245,245,246,247,248,249,250,251,252,252,253,254,255 }, { 4,7,9,11,13,15,17,19,21,22,24,26,27,29,30,32, 33,35,36,38,39,40,42,43,45,46,47,48,50,51,52,54, 55,56,57,59,60,61,62,63,65,66,67,68,69,70,72,73, 74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90, 91,92,93,94,95,96,97,98,100,101,102,103,104,105,106,107, 108,109,110,111,112,113,114,114,115,116,117,118,119,120,121,122, 123,124,125,126,127,128,129,130,131,132,133,133,134,135,136,137, 138,139,140,141,142,143,144,144,145,146,147,148,149,150,151,152, 153,153,154,155,156,157,158,159,160,160,161,162,163,164,165,166, 166,167,168,169,170,171,172,172,173,174,175,176,177,178,178,179, 180,181,182,183,183,184,185,186,187,188,188,189,190,191,192,193, 193,194,195,196,197,197,198,199,200,201,201,202,203,204,205,206, 206,207,208,209,210,210,211,212,213,213,214,215,216,217,217,218, 219,220,221,221,222,223,224,224,225,226,227,228,228,229,230,231, 231,232,233,234,235,235,236,237,238,238,239,240,241,241,242,243, 244,244,245,246,247,247,248,249,250,251,251,252,253,254,254,255 }, { 8,12,16,19,22,24,27,29,31,34,36,38,40,41,43,45, 47,49,50,52,53,55,57,58,60,61,63,64,65,67,68,70, 71,72,74,75,76,77,79,80,81,82,84,85,86,87,88,90, 91,92,93,94,95,96,98,99,100,101,102,103,104,105,106,107, 108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123, 124,125,126,127,128,129,130,131,132,133,134,135,135,136,137,138, 139,140,141,142,143,143,144,145,146,147,148,149,150,150,151,152, 153,154,155,155,156,157,158,159,160,160,161,162,163,164,165,165, 166,167,168,169,169,170,171,172,173,173,174,175,176,176,177,178, 179,180,180,181,182,183,183,184,185,186,186,187,188,189,189,190, 191,192,192,193,194,195,195,196,197,197,198,199,200,200,201,202, 202,203,204,205,205,206,207,207,208,209,210,210,211,212,212,213, 214,214,215,216,216,217,218,219,219,220,221,221,222,223,223,224, 225,225,226,227,227,228,229,229,230,231,231,232,233,233,234,235, 235,236,237,237,238,238,239,240,240,241,242,242,243,244,244,245, 246,246,247,247,248,249,249,250,251,251,252,253,253,254,254,255 }, { 16,23,28,32,36,39,42,45,48,50,53,55,57,60,62,64, 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