path: root/src/trig.c

#include "global.h"
#include "trig.h"

// values of sin(x*(π/128)) as Q8.8 fixed-point numbers from x = 0 to x = 319
const s16 gSineTable[] =
{
    0x0000,  // sin(0*(π/128)) = 0
    0x0006,  // sin(1*(π/128)) = 0.0234375
    0x000C,  // sin(2*(π/128)) = 0.046875
    0x0012,  // sin(3*(π/128)) = 0.0703125
    0x0019,  // sin(4*(π/128)) = 0.09765625
    0x001F,  // sin(5*(π/128)) = 0.12109375
    0x0025,  // sin(6*(π/128)) = 0.14453125
    0x002B,  // sin(7*(π/128)) = 0.16796875
    0x0031,  // sin(8*(π/128)) = 0.19140625
    0x0038,  // sin(9*(π/128)) = 0.21875
    0x003E,  // sin(10*(π/128)) = 0.2421875
    0x0044,  // sin(11*(π/128)) = 0.265625
    0x004A,  // sin(12*(π/128)) = 0.2890625
    0x0050,  // sin(13*(π/128)) = 0.3125
    0x0056,  // sin(14*(π/128)) = 0.3359375
    0x005C,  // sin(15*(π/128)) = 0.359375
    0x0061,  // sin(16*(π/128)) = 0.37890625
    0x0067,  // sin(17*(π/128)) = 0.40234375
    0x006D,  // sin(18*(π/128)) = 0.42578125
    0x0073,  // sin(19*(π/128)) = 0.44921875
    0x0078,  // sin(20*(π/128)) = 0.46875
    0x007E,  // sin(21*(π/128)) = 0.4921875
    0x0083,  // sin(22*(π/128)) = 0.51171875
    0x0088,  // sin(23*(π/128)) = 0.53125
    0x008E,  // sin(24*(π/128)) = 0.5546875
    0x0093,  // sin(25*(π/128)) = 0.57421875
    0x0098,  // sin(26*(π/128)) = 0.59375
    0x009D,  // sin(27*(π/128)) = 0.61328125
    0x00A2,  // sin(28*(π/128)) = 0.6328125
    0x00A7,  // sin(29*(π/128)) = 0.65234375
    0x00AB,  // sin(30*(π/128)) = 0.66796875
    0x00B0,  // sin(31*(π/128)) = 0.6875
    0x00B5,  // sin(32*(π/128)) = 0.70703125
    0x00B9,  // sin(33*(π/128)) = 0.72265625
    0x00BD,  // sin(34*(π/128)) = 0.73828125
    0x00C1,  // sin(35*(π/128)) = 0.75390625
    0x00C5,  // sin(36*(π/128)) = 0.76953125
    0x00C9,  // sin(37*(π/128)) = 0.78515625
    0x00CD,  // sin(38*(π/128)) = 0.80078125
    0x00D1,  // sin(39*(π/128)) = 0.81640625
    0x00D4,  // sin(40*(π/128)) = 0.828125
    0x00D8,  // sin(41*(π/128)) = 0.84375
    0x00DB,  // sin(42*(π/128)) = 0.85546875
    0x00DE,  // sin(43*(π/128)) = 0.8671875
    0x00E1,  // sin(44*(π/128)) = 0.87890625
    0x00E4,  // sin(45*(π/128)) = 0.890625
    0x00E7,  // sin(46*(π/128)) = 0.90234375
    0x00EA,  // sin(47*(π/128)) = 0.9140625
    0x00EC,  // sin(48*(π/128)) = 0.921875
    0x00EE,  // sin(49*(π/128)) = 0.9296875
    0x00F1,  // sin(50*(π/128)) = 0.94140625
    0x00F3,  // sin(51*(π/128)) = 0.94921875
    0x00F4,  // sin(52*(π/128)) = 0.953125
    0x00F6,  // sin(53*(π/128)) = 0.9609375
    0x00F8,  // sin(54*(π/128)) = 0.96875
    0x00F9,  // sin(55*(π/128)) = 0.97265625
    0x00FB,  // sin(56*(π/128)) = 0.98046875
    0x00FC,  // sin(57*(π/128)) = 0.984375
    0x00FD,  // sin(58*(π/128)) = 0.98828125
    0x00FE,  // sin(59*(π/128)) = 0.9921875
    0x00FE,  // sin(60*(π/128)) = 0.9921875
    0x00FF,  // sin(61*(π/128)) = 0.99609375
    0x00FF,  // sin(62*(π/128)) = 0.99609375
    0x00FF,  // sin(63*(π/128)) = 0.99609375
    0x0100,  // sin(64*(π/128)) = 1
    0x00FF,  // sin(65*(π/128)) = 0.99609375
    0x00FF,  // sin(66*(π/128)) = 0.99609375
    0x00FF,  // sin(67*(π/128)) = 0.99609375
    0x00FE,  // sin(68*(π/128)) = 0.9921875
    0x00FE,  // sin(69*(π/128)) = 0.9921875
    0x00FD,  // sin(70*(π/128)) = 0.98828125
    0x00FC,  // sin(71*(π/128)) = 0.984375
    0x00FB,  // sin(72*(π/128)) = 0.98046875
    0x00F9,  // sin(73*(π/128)) = 0.97265625
    0x00F8,  // sin(74*(π/128)) = 0.96875
    0x00F6,  // sin(75*(π/128)) = 0.9609375
    0x00F4,  // sin(76*(π/128)) = 0.953125
    0x00F3,  // sin(77*(π/128)) = 0.94921875
    0x00F1,  // sin(78*(π/128)) = 0.94140625
    0x00EE,  // sin(79*(π/128)) = 0.9296875
    0x00EC,  // sin(80*(π/128)) = 0.921875
    0x00EA,  // sin(81*(π/128)) = 0.9140625
    0x00E7,  // sin(82*(π/128)) = 0.90234375
    0x00E4,  // sin(83*(π/128)) = 0.890625
    0x00E1,  // sin(84*(π/128)) = 0.87890625
    0x00DE,  // sin(85*(π/128)) = 0.8671875
    0x00DB,  // sin(86*(π/128)) = 0.85546875
    0x00D8,  // sin(87*(π/128)) = 0.84375
    0x00D4,  // sin(88*(π/128)) = 0.828125
    0x00D1,  // sin(89*(π/128)) = 0.81640625
    0x00CD,  // sin(90*(π/128)) = 0.80078125
    0x00C9,  // sin(91*(π/128)) = 0.78515625
    0x00C5,  // sin(92*(π/128)) = 0.76953125
    0x00C1,  // sin(93*(π/128)) = 0.75390625
    0x00BD,  // sin(94*(π/128)) = 0.73828125
    0x00B9,  // sin(95*(π/128)) = 0.72265625
    0x00B5,  // sin(96*(π/128)) = 0.70703125
    0x00B0,  // sin(97*(π/128)) = 0.6875
    0x00AB,  // sin(98*(π/128)) = 0.66796875
    0x00A7,  // sin(99*(π/128)) = 0.65234375
    0x00A2,  // sin(100*(π/128)) = 0.6328125
    0x009D,  // sin(101*(π/128)) = 0.61328125
    0x0098,  // sin(102*(π/128)) = 0.59375
    0x0093,  // sin(103*(π/128)) = 0.57421875
    0x008E,  // sin(104*(π/128)) = 0.5546875
    0x0088,  // sin(105*(π/128)) = 0.53125
    0x0083,  // sin(106*(π/128)) = 0.51171875
    0x007E,  // sin(107*(π/128)) = 0.4921875
    0x0078,  // sin(108*(π/128)) = 0.46875
    0x0073,  // sin(109*(π/128)) = 0.44921875
    0x006D,  // sin(110*(π/128)) = 0.42578125
    0x0067,  // sin(111*(π/128)) = 0.40234375
    0x0061,  // sin(112*(π/128)) = 0.37890625
    0x005C,  // sin(113*(π/128)) = 0.359375
    0x0056,  // sin(114*(π/128)) = 0.3359375
    0x0050,  // sin(115*(π/128)) = 0.3125
    0x004A,  // sin(116*(π/128)) = 0.2890625
    0x0044,  // sin(117*(π/128)) = 0.265625
    0x003E,  // sin(118*(π/128)) = 0.2421875
    0x0038,  // sin(119*(π/128)) = 0.21875
    0x0031,  // sin(120*(π/128)) = 0.19140625
    0x002B,  // sin(121*(π/128)) = 0.16796875
    0x0025,  // sin(122*(π/128)) = 0.14453125
    0x001F,  // sin(123*(π/128)) = 0.12109375
    0x0019,  // sin(124*(π/128)) = 0.09765625
    0x0012,  // sin(125*(π/128)) = 0.0703125
    0x000C,  // sin(126*(π/128)) = 0.046875
    0x0006,  // sin(127*(π/128)) = 0.0234375
    0x0000,  // sin(128*(π/128)) = 0
    0xFFFA,  // sin(129*(π/128)) = -0.0234375
    0xFFF4,  // sin(130*(π/128)) = -0.046875
    0xFFEE,  // sin(131*(π/128)) = -0.0703125
    0xFFE7,  // sin(132*(π/128)) = -0.09765625
    0xFFE1,  // sin(133*(π/128)) = -0.12109375
    0xFFDB,  // sin(134*(π/128)) = -0.14453125
    0xFFD5,  // sin(135*(π/128)) = -0.16796875
    0xFFCF,  // sin(136*(π/128)) = -0.19140625
    0xFFC8,  // sin(137*(π/128)) = -0.21875
    0xFFC2,  // sin(138*(π/128)) = -0.2421875
    0xFFBC,  // sin(139*(π/128)) = -0.265625
    0xFFB6,  // sin(140*(π/128)) = -0.2890625
    0xFFB0,  // sin(141*(π/128)) = -0.3125
    0xFFAA,  // sin(142*(π/128)) = -0.3359375
    0xFFA4,  // sin(143*(π/128)) = -0.359375
    0xFF9F,  // sin(144*(π/128)) = -0.37890625
    0xFF99,  // sin(145*(π/128)) = -0.40234375
    0xFF93,  // sin(146*(π/128)) = -0.42578125
    0xFF8D,  // sin(147*(π/128)) = -0.44921875
    0xFF88,  // sin(148*(π/128)) = -0.46875
    0xFF82,  // sin(149*(π/128)) = -0.4921875
    0xFF7D,  // sin(150*(π/128)) = -0.51171875
    0xFF78,  // sin(151*(π/128)) = -0.53125
    0xFF72,  // sin(152*(π/128)) = -0.5546875
    0xFF6D,  // sin(153*(π/128)) = -0.57421875
    0xFF68,  // sin(154*(π/128)) = -0.59375
    0xFF63,  // sin(155*(π/128)) = -0.61328125
    0xFF5E,  // sin(156*(π/128)) = -0.6328125
    0xFF59,  // sin(157*(π/128)) = -0.65234375
    0xFF55,  // sin(158*(π/128)) = -0.66796875
    0xFF50,  // sin(159*(π/128)) = -0.6875
    0xFF4B,  // sin(160*(π/128)) = -0.70703125
    0xFF47,  // sin(161*(π/128)) = -0.72265625
    0xFF43,  // sin(162*(π/128)) = -0.73828125
    0xFF3F,  // sin(163*(π/128)) = -0.75390625
    0xFF3B,  // sin(164*(π/128)) = -0.76953125
    0xFF37,  // sin(165*(π/128)) = -0.78515625
    0xFF33,  // sin(166*(π/128)) = -0.80078125
    0xFF2F,  // sin(167*(π/128)) = -0.81640625
    0xFF2C,  // sin(168*(π/128)) = -0.828125
    0xFF28,  // sin(169*(π/128)) = -0.84375
    0xFF25,  // sin(170*(π/128)) = -0.85546875
    0xFF22,  // sin(171*(π/128)) = -0.8671875
    0xFF1F,  // sin(172*(π/128)) = -0.87890625
    0xFF1C,  // sin(173*(π/128)) = -0.890625
    0xFF19,  // sin(174*(π/128)) = -0.90234375
    0xFF16,  // sin(175*(π/128)) = -0.9140625
    0xFF14,  // sin(176*(π/128)) = -0.921875
    0xFF12,  // sin(177*(π/128)) = -0.9296875
    0xFF0F,  // sin(178*(π/128)) = -0.94140625
    0xFF0D,  // sin(179*(π/128)) = -0.94921875
    0xFF0C,  // sin(180*(π/128)) = -0.953125
    0xFF0A,  // sin(181*(π/128)) = -0.9609375
    0xFF08,  // sin(182*(π/128)) = -0.96875
    0xFF07,  // sin(183*(π/128)) = -0.97265625
    0xFF05,  // sin(184*(π/128)) = -0.98046875
    0xFF04,  // sin(185*(π/128)) = -0.984375
    0xFF03,  // sin(186*(π/128)) = -0.98828125
    0xFF02,  // sin(187*(π/128)) = -0.9921875
    0xFF02,  // sin(188*(π/128)) = -0.9921875
    0xFF01,  // sin(189*(π/128)) = -0.99609375
    0xFF01,  // sin(190*(π/128)) = -0.99609375
    0xFF01,  // sin(191*(π/128)) = -0.99609375
    0xFF00,  // sin(192*(π/128)) = -1
    0xFF01,  // sin(193*(π/128)) = -0.99609375
    0xFF01,  // sin(194*(π/128)) = -0.99609375
    0xFF01,  // sin(195*(π/128)) = -0.99609375
    0xFF02,  // sin(196*(π/128)) = -0.9921875
    0xFF02,  // sin(197*(π/128)) = -0.9921875
    0xFF03,  // sin(198*(π/128)) = -0.98828125
    0xFF04,  // sin(199*(π/128)) = -0.984375
    0xFF05,  // sin(200*(π/128)) = -0.98046875
    0xFF07,  // sin(201*(π/128)) = -0.97265625
    0xFF08,  // sin(202*(π/128)) = -0.96875
    0xFF0A,  // sin(203*(π/128)) = -0.9609375
    0xFF0C,  // sin(204*(π/128)) = -0.953125
    0xFF0D,  // sin(205*(π/128)) = -0.94921875
    0xFF0F,  // sin(206*(π/128)) = -0.94140625
    0xFF12,  // sin(207*(π/128)) = -0.9296875
    0xFF14,  // sin(208*(π/128)) = -0.921875
    0xFF16,  // sin(209*(π/128)) = -0.9140625
    0xFF19,  // sin(210*(π/128)) = -0.90234375
    0xFF1C,  // sin(211*(π/128)) = -0.890625
    0xFF1F,  // sin(212*(π/128)) = -0.87890625
    0xFF22,  // sin(213*(π/128)) = -0.8671875
    0xFF25,  // sin(214*(π/128)) = -0.85546875
    0xFF28,  // sin(215*(π/128)) = -0.84375
    0xFF2C,  // sin(216*(π/128)) = -0.828125
    0xFF2F,  // sin(217*(π/128)) = -0.81640625
    0xFF33,  // sin(218*(π/128)) = -0.80078125
    0xFF37,  // sin(219*(π/128)) = -0.78515625
    0xFF3B,  // sin(220*(π/128)) = -0.76953125
    0xFF3F,  // sin(221*(π/128)) = -0.75390625
    0xFF43,  // sin(222*(π/128)) = -0.73828125
    0xFF47,  // sin(223*(π/128)) = -0.72265625
    0xFF4B,  // sin(224*(π/128)) = -0.70703125
    0xFF50,  // sin(225*(π/128)) = -0.6875
    0xFF55,  // sin(226*(π/128)) = -0.66796875
    0xFF59,  // sin(227*(π/128)) = -0.65234375
    0xFF5E,  // sin(228*(π/128)) = -0.6328125
    0xFF63,  // sin(229*(π/128)) = -0.61328125
    0xFF68,  // sin(230*(π/128)) = -0.59375
    0xFF6D,  // sin(231*(π/128)) = -0.57421875
    0xFF72,  // sin(232*(π/128)) = -0.5546875
    0xFF78,  // sin(233*(π/128)) = -0.53125
    0xFF7D,  // sin(234*(π/128)) = -0.51171875
    0xFF82,  // sin(235*(π/128)) = -0.4921875
    0xFF88,  // sin(236*(π/128)) = -0.46875
    0xFF8D,  // sin(237*(π/128)) = -0.44921875
    0xFF93,  // sin(238*(π/128)) = -0.42578125
    0xFF99,  // sin(239*(π/128)) = -0.40234375
    0xFF9F,  // sin(240*(π/128)) = -0.37890625
    0xFFA4,  // sin(241*(π/128)) = -0.359375
    0xFFAA,  // sin(242*(π/128)) = -0.3359375
    0xFFB0,  // sin(243*(π/128)) = -0.3125
    0xFFB6,  // sin(244*(π/128)) = -0.2890625
    0xFFBC,  // sin(245*(π/128)) = -0.265625
    0xFFC2,  // sin(246*(π/128)) = -0.2421875
    0xFFC8,  // sin(247*(π/128)) = -0.21875
    0xFFCF,  // sin(248*(π/128)) = -0.19140625
    0xFFD5,  // sin(249*(π/128)) = -0.16796875
    0xFFDB,  // sin(250*(π/128)) = -0.14453125
    0xFFE1,  // sin(251*(π/128)) = -0.12109375
    0xFFE7,  // sin(252*(π/128)) = -0.09765625
    0xFFEE,  // sin(253*(π/128)) = -0.0703125
    0xFFF4,  // sin(254*(π/128)) = -0.046875
    0xFFFA,  // sin(255*(π/128)) = -0.0234375
    0x0000,  // sin(256*(π/128)) = 0
    0x0006,  // sin(257*(π/128)) = 0.0234375
    0x000C,  // sin(258*(π/128)) = 0.046875
    0x0012,  // sin(259*(π/128)) = 0.0703125
    0x0019,  // sin(260*(π/128)) = 0.09765625
    0x001F,  // sin(261*(π/128)) = 0.12109375
    0x0025,  // sin(262*(π/128)) = 0.14453125
    0x002B,  // sin(263*(π/128)) = 0.16796875
    0x0031,  // sin(264*(π/128)) = 0.19140625
    0x0038,  // sin(265*(π/128)) = 0.21875
    0x003E,  // sin(266*(π/128)) = 0.2421875
    0x0044,  // sin(267*(π/128)) = 0.265625
    0x004A,  // sin(268*(π/128)) = 0.2890625
    0x0050,  // sin(269*(π/128)) = 0.3125
    0x0056,  // sin(270*(π/128)) = 0.3359375
    0x005C,  // sin(271*(π/128)) = 0.359375
    0x0061,  // sin(272*(π/128)) = 0.37890625
    0x0067,  // sin(273*(π/128)) = 0.40234375
    0x006D,  // sin(274*(π/128)) = 0.42578125
    0x0073,  // sin(275*(π/128)) = 0.44921875
    0x0078,  // sin(276*(π/128)) = 0.46875
    0x007E,  // sin(277*(π/128)) = 0.4921875
    0x0083,  // sin(278*(π/128)) = 0.51171875
    0x0088,  // sin(279*(π/128)) = 0.53125
    0x008E,  // sin(280*(π/128)) = 0.5546875
    0x0093,  // sin(281*(π/128)) = 0.57421875
    0x0098,  // sin(282*(π/128)) = 0.59375
    0x009D,  // sin(283*(π/128)) = 0.61328125
    0x00A2,  // sin(284*(π/128)) = 0.6328125
    0x00A7,  // sin(285*(π/128)) = 0.65234375
    0x00AB,  // sin(286*(π/128)) = 0.66796875
    0x00B0,  // sin(287*(π/128)) = 0.6875
    0x00B5,  // sin(288*(π/128)) = 0.70703125
    0x00B9,  // sin(289*(π/128)) = 0.72265625
    0x00BD,  // sin(290*(π/128)) = 0.73828125
    0x00C1,  // sin(291*(π/128)) = 0.75390625
    0x00C5,  // sin(292*(π/128)) = 0.76953125
    0x00C9,  // sin(293*(π/128)) = 0.78515625
    0x00CD,  // sin(294*(π/128)) = 0.80078125
    0x00D1,  // sin(295*(π/128)) = 0.81640625
    0x00D4,  // sin(296*(π/128)) = 0.828125
    0x00D8,  // sin(297*(π/128)) = 0.84375
    0x00DB,  // sin(298*(π/128)) = 0.85546875
    0x00DE,  // sin(299*(π/128)) = 0.8671875
    0x00E1,  // sin(300*(π/128)) = 0.87890625
    0x00E4,  // sin(301*(π/128)) = 0.890625
    0x00E7,  // sin(302*(π/128)) = 0.90234375
    0x00EA,  // sin(303*(π/128)) = 0.9140625
    0x00EC,  // sin(304*(π/128)) = 0.921875
    0x00EE,  // sin(305*(π/128)) = 0.9296875
    0x00F1,  // sin(306*(π/128)) = 0.94140625
    0x00F3,  // sin(307*(π/128)) = 0.94921875
    0x00F4,  // sin(308*(π/128)) = 0.953125
    0x00F6,  // sin(309*(π/128)) = 0.9609375
    0x00F8,  // sin(310*(π/128)) = 0.96875
    0x00F9,  // sin(311*(π/128)) = 0.97265625
    0x00FB,  // sin(312*(π/128)) = 0.98046875
    0x00FC,  // sin(313*(π/128)) = 0.984375
    0x00FD,  // sin(314*(π/128)) = 0.98828125
    0x00FE,  // sin(315*(π/128)) = 0.9921875
    0x00FE,  // sin(316*(π/128)) = 0.9921875
    0x00FF,  // sin(317*(π/128)) = 0.99609375
    0x00FF,  // sin(318*(π/128)) = 0.99609375
    0x00FF,  // sin(319*(π/128)) = 0.99609375
};

// values of sin(x) as Q4.12 fixed-point numbers from x = 0° to x = 179°
const s16 gSineDegreeTable[] =
{
    0x0000,  // sin(0°) = 0
    0x0047,  // sin(1°) = 0.017333984375
    0x008F,  // sin(2°) = 0.034912109375
    0x00D6,  // sin(3°) = 0.05224609375
    0x011E,  // sin(4°) = 0.06982421875
    0x0165,  // sin(5°) = 0.087158203125
    0x01AC,  // sin(6°) = 0.1044921875
    0x01F3,  // sin(7°) = 0.121826171875
    0x023A,  // sin(8°) = 0.13916015625
    0x0281,  // sin(9°) = 0.156494140625
    0x02C7,  // sin(10°) = 0.173583984375
    0x030E,  // sin(11°) = 0.19091796875
    0x0354,  // sin(12°) = 0.2080078125
    0x0399,  // sin(13°) = 0.224853515625
    0x03DF,  // sin(14°) = 0.241943359375
    0x0424,  // sin(15°) = 0.2587890625
    0x0469,  // sin(16°) = 0.275634765625
    0x04AE,  // sin(17°) = 0.29248046875
    0x04F2,  // sin(18°) = 0.30908203125
    0x0536,  // sin(19°) = 0.32568359375
    0x0579,  // sin(20°) = 0.342041015625
    0x05BC,  // sin(21°) = 0.3583984375
    0x05FE,  // sin(22°) = 0.37451171875
    0x0640,  // sin(23°) = 0.390625
    0x0682,  // sin(24°) = 0.40673828125
    0x06C3,  // sin(25°) = 0.422607421875
    0x0704,  // sin(26°) = 0.4384765625
    0x0744,  // sin(27°) = 0.4541015625
    0x0783,  // sin(28°) = 0.469482421875
    0x07C2,  // sin(29°) = 0.48486328125
    0x0800,  // sin(30°) = 0.5
    0x083E,  // sin(31°) = 0.51513671875
    0x087B,  // sin(32°) = 0.530029296875
    0x08B7,  // sin(33°) = 0.544677734375
    0x08F2,  // sin(34°) = 0.55908203125
    0x092D,  // sin(35°) = 0.573486328125
    0x0968,  // sin(36°) = 0.587890625
    0x09A1,  // sin(37°) = 0.601806640625
    0x09DA,  // sin(38°) = 0.61572265625
    0x0A12,  // sin(39°) = 0.62939453125
    0x0A49,  // sin(40°) = 0.642822265625
    0x0A7F,  // sin(41°) = 0.656005859375
    0x0AB5,  // sin(42°) = 0.669189453125
    0x0AE9,  // sin(43°) = 0.681884765625
    0x0B1D,  // sin(44°) = 0.694580078125
    0x0B50,  // sin(45°) = 0.70703125
    0x0B82,  // sin(46°) = 0.71923828125
    0x0BB4,  // sin(47°) = 0.7314453125
    0x0BE4,  // sin(48°) = 0.7431640625
    0x0C13,  // sin(49°) = 0.754638671875
    0x0C42,  // sin(50°) = 0.76611328125
    0x0C6F,  // sin(51°) = 0.777099609375
    0x0C9C,  // sin(52°) = 0.7880859375
    0x0CC7,  // sin(53°) = 0.798583984375
    0x0CF2,  // sin(54°) = 0.80908203125
    0x0D1B,  // sin(55°) = 0.819091796875
    0x0D44,  // sin(56°) = 0.8291015625
    0x0D6B,  // sin(57°) = 0.838623046875
    0x0D92,  // sin(58°) = 0.84814453125
    0x0DB7,  // sin(59°) = 0.857177734375
    0x0DDB,  // sin(60°) = 0.865966796875
    0x0DFE,  // sin(61°) = 0.87451171875
    0x0E21,  // sin(62°) = 0.883056640625
    0x0E42,  // sin(63°) = 0.89111328125
    0x0E61,  // sin(64°) = 0.898681640625
    0x0E80,  // sin(65°) = 0.90625
    0x0E9E,  // sin(66°) = 0.91357421875
    0x0EBA,  // sin(67°) = 0.92041015625
    0x0ED6,  // sin(68°) = 0.92724609375
    0x0EF0,  // sin(69°) = 0.93359375
    0x0F09,  // sin(70°) = 0.939697265625
    0x0F21,  // sin(71°) = 0.945556640625
    0x0F38,  // sin(72°) = 0.951171875
    0x0F4D,  // sin(73°) = 0.956298828125
    0x0F61,  // sin(74°) = 0.961181640625
    0x0F74,  // sin(75°) = 0.9658203125
    0x0F86,  // sin(76°) = 0.97021484375
    0x0F97,  // sin(77°) = 0.974365234375
    0x0FA6,  // sin(78°) = 0.97802734375
    0x0FB5,  // sin(79°) = 0.981689453125
    0x0FC2,  // sin(80°) = 0.98486328125
    0x0FCE,  // sin(81°) = 0.98779296875
    0x0FD8,  // sin(82°) = 0.990234375
    0x0FE1,  // sin(83°) = 0.992431640625
    0x0FE9,  // sin(84°) = 0.994384765625
    0x0FF0,  // sin(85°) = 0.99609375
    0x0FF6,  // sin(86°) = 0.99755859375
    0x0FFA,  // sin(87°) = 0.99853515625
    0x0FFD,  // sin(88°) = 0.999267578125
    0x0FFF,  // sin(89°) = 0.999755859375
    0x1000,  // sin(90°) = 1
    0x0FFF,  // sin(91°) = 0.999755859375
    0x0FFD,  // sin(92°) = 0.999267578125
    0x0FFA,  // sin(93°) = 0.99853515625
    0x0FF6,  // sin(94°) = 0.99755859375
    0x0FF0,  // sin(95°) = 0.99609375
    0x0FE9,  // sin(96°) = 0.994384765625
    0x0FE1,  // sin(97°) = 0.992431640625
    0x0FD8,  // sin(98°) = 0.990234375
    0x0FCE,  // sin(99°) = 0.98779296875
    0x0FC2,  // sin(100°) = 0.98486328125
    0x0FB5,  // sin(101°) = 0.981689453125
    0x0FA6,  // sin(102°) = 0.97802734375
    0x0F97,  // sin(103°) = 0.974365234375
    0x0F86,  // sin(104°) = 0.97021484375
    0x0F74,  // sin(105°) = 0.9658203125
    0x0F61,  // sin(106°) = 0.961181640625
    0x0F4D,  // sin(107°) = 0.956298828125
    0x0F38,  // sin(108°) = 0.951171875
    0x0F21,  // sin(109°) = 0.945556640625
    0x0F09,  // sin(110°) = 0.939697265625
    0x0EF0,  // sin(111°) = 0.93359375
    0x0ED6,  // sin(112°) = 0.92724609375
    0x0EBA,  // sin(113°) = 0.92041015625
    0x0E9E,  // sin(114°) = 0.91357421875
    0x0E80,  // sin(115°) = 0.90625
    0x0E61,  // sin(116°) = 0.898681640625
    0x0E42,  // sin(117°) = 0.89111328125
    0x0E21,  // sin(118°) = 0.883056640625
    0x0DFE,  // sin(119°) = 0.87451171875
    0x0DDB,  // sin(120°) = 0.865966796875
    0x0DB7,  // sin(121°) = 0.857177734375
    0x0D92,  // sin(122°) = 0.84814453125
    0x0D6B,  // sin(123°) = 0.838623046875
    0x0D44,  // sin(124°) = 0.8291015625
    0x0D1B,  // sin(125°) = 0.819091796875
    0x0CF2,  // sin(126°) = 0.80908203125
    0x0CC7,  // sin(127°) = 0.798583984375
    0x0C9C,  // sin(128°) = 0.7880859375
    0x0C6F,  // sin(129°) = 0.777099609375
    0x0C42,  // sin(130°) = 0.76611328125
    0x0C13,  // sin(131°) = 0.754638671875
    0x0BE4,  // sin(132°) = 0.7431640625
    0x0BB4,  // sin(133°) = 0.7314453125
    0x0B82,  // sin(134°) = 0.71923828125
    0x0B50,  // sin(135°) = 0.70703125
    0x0B1D,  // sin(136°) = 0.694580078125
    0x0AE9,  // sin(137°) = 0.681884765625
    0x0AB5,  // sin(138°) = 0.669189453125
    0x0A7F,  // sin(139°) = 0.656005859375
    0x0A49,  // sin(140°) = 0.642822265625
    0x0A12,  // sin(141°) = 0.62939453125
    0x09DA,  // sin(142°) = 0.61572265625
    0x09A1,  // sin(143°) = 0.601806640625
    0x0968,  // sin(144°) = 0.587890625
    0x092D,  // sin(145°) = 0.573486328125
    0x08F2,  // sin(146°) = 0.55908203125
    0x08B7,  // sin(147°) = 0.544677734375
    0x087B,  // sin(148°) = 0.530029296875
    0x083E,  // sin(149°) = 0.51513671875
    0x0800,  // sin(150°) = 0.5
    0x07C2,  // sin(151°) = 0.48486328125
    0x0783,  // sin(152°) = 0.469482421875
    0x0744,  // sin(153°) = 0.4541015625
    0x0704,  // sin(154°) = 0.4384765625
    0x06C3,  // sin(155°) = 0.422607421875
    0x0682,  // sin(156°) = 0.40673828125
    0x0640,  // sin(157°) = 0.390625
    0x05FE,  // sin(158°) = 0.37451171875
    0x05BC,  // sin(159°) = 0.3583984375
    0x0579,  // sin(160°) = 0.342041015625
    0x0536,  // sin(161°) = 0.32568359375
    0x04F2,  // sin(162°) = 0.30908203125
    0x04AE,  // sin(163°) = 0.29248046875
    0x0469,  // sin(164°) = 0.275634765625
    0x0424,  // sin(165°) = 0.2587890625
    0x03DF,  // sin(166°) = 0.241943359375
    0x0399,  // sin(167°) = 0.224853515625
    0x0354,  // sin(168°) = 0.2080078125
    0x030E,  // sin(169°) = 0.19091796875
    0x02C7,  // sin(170°) = 0.173583984375
    0x0281,  // sin(171°) = 0.156494140625
    0x023A,  // sin(172°) = 0.13916015625
    0x01F3,  // sin(173°) = 0.121826171875
    0x01AC,  // sin(174°) = 0.1044921875
    0x0165,  // sin(175°) = 0.087158203125
    0x011E,  // sin(176°) = 0.06982421875
    0x00D6,  // sin(177°) = 0.05224609375
    0x008F,  // sin(178°) = 0.034912109375
    0x0047,  // sin(179°) = 0.017333984375
};

// amplitude * sin(index*(π/128))
s16 Sin(s16 index, s16 amplitude)
{
    return (amplitude * gSineTable[index]) >> 8;
}

// amplitude * cos(index*(π/128))
s16 Cos(s16 index, s16 amplitude)
{
    return (amplitude * gSineTable[index + 64]) >> 8;
}

// angle in degrees
s16 Sin2(u16 angle)
{
    s32 angleMod = angle % 180;
    s32 negate = ((angle / 180) & 1);
    s16 value = gSineDegreeTable[angleMod];

    if (negate)
        return -value;
    else
        return value;
}

// angle in degrees
s16 Cos2(u16 angle)
{
    return Sin2(angle + 90);
}