ref: e01577f8f61023ab90d8022e75cb00027399428c
dir: /sys/src/games/doom/tables.c/
// Emacs style mode select -*- C++ -*- //----------------------------------------------------------------------------- // // $Id:$ // // Copyright (C) 1993-1996 by id Software, Inc. // // This source is available for distribution and/or modification // only under the terms of the DOOM Source Code License as // published by id Software. All rights reserved. // // The source is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // FITNESS FOR A PARTICULAR PURPOSE. See the DOOM Source Code License // for more details. // // $Log:$ // // 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. // // //----------------------------------------------------------------------------- static const char rcsid[] = "$Id: tables.c,v 1.4 1997/02/03 16:47:57 b1 Exp $"; #include "tables.h" int SlopeDiv ( unsigned num, unsigned den) { unsigned ans; if (den < 512) return SLOPERANGE; ans = (num<<3)/(den>>8); return ans <= SLOPERANGE ? ans : SLOPERANGE; } int 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, 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-376,-326,-276,-226,-175,-125,-75,-25, 25,75,125,175,226,276,326,376, 427,477,527,578,628,678,728,779, 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 }; int 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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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, 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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 }; angle_t tantoangle[2049] = { 0,333772,667544,1001315,1335086,1668857,2002626,2336395, 2670163,3003929,3337694,3671457,4005219,4338979,4672736,5006492, 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