/*
 * OpenClonk, http://www.openclonk.org
 *
 * Copyright (c) 2002  Sven Eberhardt
 * Copyright (c) 2001-2009, RedWolf Design GmbH, http://www.clonk.de
 *
 * Portions might be copyrighted by other authors who have contributed
 * to OpenClonk.
 *
 * Permission to use, copy, modify, and/or distribute this software for any
 * purpose with or without fee is hereby granted, provided that the above
 * copyright notice and this permission notice appear in all copies.
 * See isc_license.txt for full license and disclaimer.
 *
 * "Clonk" is a registered trademark of Matthes Bender.
 * See clonk_trademark_license.txt for full license.
 */
// fixed numbers - sine functions

#include <Standard.h>
#include <Fixed.h>

#ifdef USE_FIXED

// static table with sinus values from 0.00 degree to 90.00 degree inclusively
long SineTable[9001] = {
	0,
	11,
	22,
	34,
	45,
	57,
	68,
	80,
	91,
	102,
	114,
	125,
	137,
	148,
	160,
	171,
	183,
	194,
	205,
	217,
	228,
	240,
	251,
	263,
	274,
	285,
	297,
	308,
	320,
	331,
	343,
	354,
	366,
	377,
	388,
	400,
	411,
	423,
	434,
	446,
	457,
	468,
	480,
	491,
	503,
	514,
	526,
	537,
	549,
	560,
	571,
	583,
	594,
	606,
	617,
	629,
	640,
	651,
	663,
	674,
	686,
	697,
	709,
	720,
	732,
	743,
	754,
	766,
	777,
	789,
	800,
	812,
	823,
	834,
	846,
	857,
	869,
	880,
	892,
	903,
	915,
	926,
	937,
	949,
	960,
	972,
	983,
	995,
	1006,
	1017,
	1029,
	1040,
	1052,
	1063,
	1075,
	1086,
	1098,
	1109,
	1120,
	1132,
	1143,
	1155,
	1166,
	1178,
	1189,
	1200,
	1212,
	1223,
	1235,
	1246,
	1258,
	1269,
	1280,
	1292,
	1303,
	1315,
	1326,
	1338,
	1349,
	1361,
	1372,
	1383,
	1395,
	1406,
	1418,
	1429,
	1441,
	1452,
	1463,
	1475,
	1486,
	1498,
	1509,
	1521,
	1532,
	1544,
	1555,
	1566,
	1578,
	1589,
	1601,
	1612,
	1624,
	1635,
	1646,
	1658,
	1669,
	1681,
	1692,
	1704,
	1715,
	1726,
	1738,
	1749,
	1761,
	1772,
	1784,
	1795,
	1807,
	1818,
	1829,
	1841,
	1852,
	1864,
	1875,
	1887,
	1898,
	1909,
	1921,
	1932,
	1944,
	1955,
	1967,
	1978,
	1989,
	2001,
	2012,
	2024,
	2035,
	2047,
	2058,
	2069,
	2081,
	2092,
	2104,
	2115,
	2127,
	2138,
	2149,
	2161,
	2172,
	2184,
	2195,
	2207,
	2218,
	2230,
	2241,
	2252,
	2264,
	2275,
	2287,
	2298,
	2310,
	2321,
	2332,
	2344,
	2355,
	2367,
	2378,
	2390,
	2401,
	2412,
	2424,
	2435,
	2447,
	2458,
	2470,
	2481,
	2492,
	2504,
	2515,
	2527,
	2538,
	2550,
	2561,
	2572,
	2584,
	2595,
	2607,
	2618,
	2630,
	2641,
	2652,
	2664,
	2675,
	2687,
	2698,
	2710,
	2721,
	2732,
	2744,
	2755,
	2767,
	2778,
	2790,
	2801,
	2812,
	2824,
	2835,
	2847,
	2858,
	2870,
	2881,
	2892,
	2904,
	2915,
	2927,
	2938,
	2950,
	2961,
	2972,
	2984,
	2995,
	3007,
	3018,
	3030,
	3041,
	3052,
	3064,
	3075,
	3087,
	3098,
	3110,
	3121,
	3132,
	3144,
	3155,
	3167,
	3178,
	3189,
	3201,
	3212,
	3224,
	3235,
	3247,
	3258,
	3269,
	3281,
	3292,
	3304,
	3315,
	3327,
	3338,
	3349,
	3361,
	3372,
	3384,
	3395,
	3407,
	3418,
	3429,
	3441,
	3452,
	3464,
	3475,
	3487,
	3498,
	3509,
	3521,
	3532,
	3544,
	3555,
	3566,
	3578,
	3589,
	3601,
	3612,
	3624,
	3635,
	3646,
	3658,
	3669,
	3681,
	3692,
	3703,
	3715,
	3726,
	3738,
	3749,
	3761,
	3772,
	3783,
	3795,
	3806,
	3818,
	3829,
	3841,
	3852,
	3863,
	3875,
	3886,
	3898,
	3909,
	3920,
	3932,
	3943,
	3955,
	3966,
	3978,
	3989,
	4000,
	4012,
	4023,
	4035,
	4046,
	4057,
	4069,
	4080,
	4092,
	4103,
	4115,
	4126,
	4137,
	4149,
	4160,
	4172,
	4183,
	4194,
	4206,
	4217,
	4229,
	4240,
	4252,
	4263,
	4274,
	4286,
	4297,
	4309,
	4320,
	4331,
	4343,
	4354,
	4366,
	4377,
	4388,
	4400,
	4411,
	4423,
	4434,
	4446,
	4457,
	4468,
	4480,
	4491,
	4503,
	4514,
	4525,
	4537,
	4548,
	4560,
	4571,
	4582,
	4594,
	4605,
	4617,
	4628,
	4640,
	4651,
	4662,
	4674,
	4685,
	4697,
	4708,
	4719,
	4731,
	4742,
	4754,
	4765,
	4776,
	4788,
	4799,
	4811,
	4822,
	4833,
	4845,
	4856,
	4868,
	4879,
	4890,
	4902,
	4913,
	4925,
	4936,
	4948,
	4959,
	4970,
	4982,
	4993,
	5005,
	5016,
	5027,
	5039,
	5050,
	5062,
	5073,
	5084,
	5096,
	5107,
	5119,
	5130,
	5141,
	5153,
	5164,
	5176,
	5187,
	5198,
	5210,
	5221,
	5233,
	5244,
	5255,
	5267,
	5278,
	5290,
	5301,
	5312,
	5324,
	5335,
	5347,
	5358,
	5369,
	5381,
	5392,
	5404,
	5415,
	5426,
	5438,
	5449,
	5461,
	5472,
	5483,
	5495,
	5506,
	5518,
	5529,
	5540,
	5552,
	5563,
	5575,
	5586,
	5597,
	5609,
	5620,
	5632,
	5643,
	5654,
	5666,
	5677,
	5689,
	5700,
	5711,
	5723,
	5734,
	5746,
	5757,
	5768,
	5780,
	5791,
	5802,
	5814,
	5825,
	5837,
	5848,
	5859,
	5871,
	5882,
	5894,
	5905,
	5916,
	5928,
	5939,
	5951,
	5962,
	5973,
	5985,
	5996,
	6008,
	6019,
	6030,
	6042,
	6053,
	6064,
	6076,
	6087,
	6099,
	6110,
	6121,
	6133,
	6144,
	6156,
	6167,
	6178,
	6190,
	6201,
	6213,
	6224,
	6235,
	6247,
	6258,
	6269,
	6281,
	6292,
	6304,
	6315,
	6326,
	6338,
	6349,
	6361,
	6372,
	6383,
	6395,
	6406,
	6417,
	6429,
	6440,
	6452,
	6463,
	6474,
	6486,
	6497,
	6509,
	6520,
	6531,
	6543,
	6554,
	6565,
	6577,
	6588,
	6600,
	6611,
	6622,
	6634,
	6645,
	6656,
	6668,
	6679,
	6691,
	6702,
	6713,
	6725,
	6736,
	6747,
	6759,
	6770,
	6782,
	6793,
	6804,
	6816,
	6827,
	6839,
	6850,
	6861,
	6873,
	6884,
	6895,
	6907,
	6918,
	6930,
	6941,
	6952,
	6964,
	6975,
	6986,
	6998,
	7009,
	7020,
	7032,
	7043,
	7055,
	7066,
	7077,
	7089,
	7100,
	7111,
	7123,
	7134,
	7146,
	7157,
	7168,
	7180,
	7191,
	7202,
	7214,
	7225,
	7237,
	7248,
	7259,
	7271,
	7282,
	7293,
	7305,
	7316,
	7327,
	7339,
	7350,
	7362,
	7373,
	7384,
	7396,
	7407,
	7418,
	7430,
	7441,
	7452,
	7464,
	7475,
	7487,
	7498,
	7509,
	7521,
	7532,
	7543,
	7555,
	7566,
	7577,
	7589,
	7600,
	7612,
	7623,
	7634,
	7646,
	7657,
	7668,
	7680,
	7691,
	7702,
	7714,
	7725,
	7737,
	7748,
	7759,
	7771,
	7782,
	7793,
	7805,
	7816,
	7827,
	7839,
	7850,
	7861,
	7873,
	7884,
	7895,
	7907,
	7918,
	7930,
	7941,
	7952,
	7964,
	7975,
	7986,
	7998,
	8009,
	8020,
	8032,
	8043,
	8054,
	8066,
	8077,
	8088,
	8100,
	8111,
	8123,
	8134,
	8145,
	8157,
	8168,
	8179,
	8191,
	8202,
	8213,
	8225,
	8236,
	8247,
	8259,
	8270,
	8281,
	8293,
	8304,
	8315,
	8327,
	8338,
	8349,
	8361,
	8372,
	8384,
	8395,
	8406,
	8418,
	8429,
	8440,
	8452,
	8463,
	8474,
	8486,
	8497,
	8508,
	8520,
	8531,
	8542,
	8554,
	8565,
	8576,
	8588,
	8599,
	8610,
	8622,
	8633,
	8644,
	8656,
	8667,
	8678,
	8690,
	8701,
	8712,
	8724,
	8735,
	8746,
	8758,
	8769,
	8780,
	8792,
	8803,
	8814,
	8826,
	8837,
	8848,
	8860,
	8871,
	8882,
	8894,
	8905,
	8916,
	8928,
	8939,
	8950,
	8962,
	8973,
	8984,
	8996,
	9007,
	9018,
	9030,
	9041,
	9052,
	9064,
	9075,
	9086,
	9098,
	9109,
	9120,
	9132,
	9143,
	9154,
	9166,
	9177,
	9188,
	9200,
	9211,
	9222,
	9234,
	9245,
	9256,
	9268,
	9279,
	9290,
	9302,
	9313,
	9324,
	9336,
	9347,
	9358,
	9369,
	9381,
	9392,
	9403,
	9415,
	9426,
	9437,
	9449,
	9460,
	9471,
	9483,
	9494,
	9505,
	9517,
	9528,
	9539,
	9551,
	9562,
	9573,
	9585,
	9596,
	9607,
	9618,
	9630,
	9641,
	9652,
	9664,
	9675,
	9686,
	9698,
	9709,
	9720,
	9732,
	9743,
	9754,
	9766,
	9777,
	9788,
	9799,
	9811,
	9822,
	9833,
	9845,
	9856,
	9867,
	9879,
	9890,
	9901,
	9913,
	9924,
	9935,
	9946,
	9958,
	9969,
	9980,
	9992,
	10003,
	10014,
	10026,
	10037,
	10048,
	10059,
	10071,
	10082,
	10093,
	10105,
	10116,
	10127,
	10139,
	10150,
	10161,
	10172,
	10184,
	10195,
	10206,
	10218,
	10229,
	10240,
	10252,
	10263,
	10274,
	10285,
	10297,
	10308,
	10319,
	10331,
	10342,
	10353,
	10365,
	10376,
	10387,
	10398,
	10410,
	10421,
	10432,
	10444,
	10455,
	10466,
	10477,
	10489,
	10500,
	10511,
	10523,
	10534,
	10545,
	10557,
	10568,
	10579,
	10590,
	10602,
	10613,
	10624,
	10636,
	10647,
	10658,
	10669,
	10681,
	10692,
	10703,
	10715,
	10726,
	10737,
	10748,
	10760,
	10771,
	10782,
	10793,
	10805,
	10816,
	10827,
	10839,
	10850,
	10861,
	10872,
	10884,
	10895,
	10906,
	10918,
	10929,
	10940,
	10951,
	10963,
	10974,
	10985,
	10997,
	11008,
	11019,
	11030,
	11042,
	11053,
	11064,
	11075,
	11087,
	11098,
	11109,
	11121,
	11132,
	11143,
	11154,
	11166,
	11177,
	11188,
	11199,
	11211,
	11222,
	11233,
	11245,
	11256,
	11267,
	11278,
	11290,
	11301,
	11312,
	11323,
	11335,
	11346,
	11357,
	11368,
	11380,
	11391,
	11402,
	11413,
	11425,
	11436,
	11447,
	11459,
	11470,
	11481,
	11492,
	11504,
	11515,
	11526,
	11537,
	11549,
	11560,
	11571,
	11582,
	11594,
	11605,
	11616,
	11627,
	11639,
	11650,
	11661,
	11672,
	11684,
	11695,
	11706,
	11717,
	11729,
	11740,
	11751,
	11762,
	11774,
	11785,
	11796,
	11808,
	11819,
	11830,
	11841,
	11853,
	11864,
	11875,
	11886,
	11897,
	11909,
	11920,
	11931,
	11942,
	11954,
	11965,
	11976,
	11987,
	11999,
	12010,
	12021,
	12032,
	12044,
	12055,
	12066,
	12077,
	12089,
	12100,
	12111,
	12122,
	12134,
	12145,
	12156,
	12167,
	12179,
	12190,
	12201,
	12212,
	12224,
	12235,
	12246,
	12257,
	12268,
	12280,
	12291,
	12302,
	12313,
	12325,
	12336,
	12347,
	12358,
	12370,
	12381,
	12392,
	12403,
	12415,
	12426,
	12437,
	12448,
	12459,
	12471,
	12482,
	12493,
	12504,
	12516,
	12527,
	12538,
	12549,
	12560,
	12572,
	12583,
	12594,
	12605,
	12617,
	12628,
	12639,
	12650,
	12662,
	12673,
	12684,
	12695,
	12706,
	12718,
	12729,
	12740,
	12751,
	12763,
	12774,
	12785,
	12796,
	12807,
	12819,
	12830,
	12841,
	12852,
	12863,
	12875,
	12886,
	12897,
	12908,
	12920,
	12931,
	12942,
	12953,
	12964,
	12976,
	12987,
	12998,
	13009,
	13020,
	13032,
	13043,
	13054,
	13065,
	13076,
	13088,
	13099,
	13110,
	13121,
	13133,
	13144,
	13155,
	13166,
	13177,
	13189,
	13200,
	13211,
	13222,
	13233,
	13245,
	13256,
	13267,
	13278,
	13289,
	13301,
	13312,
	13323,
	13334,
	13345,
	13357,
	13368,
	13379,
	13390,
	13401,
	13413,
	13424,
	13435,
	13446,
	13457,
	13469,
	13480,
	13491,
	13502,
	13513,
	13524,
	13536,
	13547,
	13558,
	13569,
	13580,
	13592,
	13603,
	13614,
	13625,
	13636,
	13648,
	13659,
	13670,
	13681,
	13692,
	13704,
	13715,
	13726,
	13737,
	13748,
	13759,
	13771,
	13782,
	13793,
	13804,
	13815,
	13827,
	13838,
	13849,
	13860,
	13871,
	13882,
	13894,
	13905,
	13916,
	13927,
	13938,
	13949,
	13961,
	13972,
	13983,
	13994,
	14005,
	14017,
	14028,
	14039,
	14050,
	14061,
	14072,
	14084,
	14095,
	14106,
	14117,
	14128,
	14139,
	14151,
	14162,
	14173,
	14184,
	14195,
	14206,
	14218,
	14229,
	14240,
	14251,
	14262,
	14273,
	14285,
	14296,
	14307,
	14318,
	14329,
	14340,
	14352,
	14363,
	14374,
	14385,
	14396,
	14407,
	14418,
	14430,
	14441,
	14452,
	14463,
	14474,
	14485,
	14497,
	14508,
	14519,
	14530,
	14541,
	14552,
	14564,
	14575,
	14586,
	14597,
	14608,
	14619,
	14630,
	14642,
	14653,
	14664,
	14675,
	14686,
	14697,
	14708,
	14720,
	14731,
	14742,
	14753,
	14764,
	14775,
	14786,
	14798,
	14809,
	14820,
	14831,
	14842,
	14853,
	14864,
	14876,
	14887,
	14898,
	14909,
	14920,
	14931,
	14942,
	14954,
	14965,
	14976,
	14987,
	14998,
	15009,
	15020,
	15032,
	15043,
	15054,
	15065,
	15076,
	15087,
	15098,
	15109,
	15121,
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	582…