math_table.c

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#include "unit/runtime/math_table.h"
#include "types.h"
#include "system.h"
 
/// A quarter-wave sine table, scaled by 65536.
// clang-format off
const u16 gMath_SinQuarter[256] = {
    0, 402, 804, 1206, 1608, 2010, 2412, 2814,
    3216, 3617, 4019, 4420, 4821, 5222, 5623, 6023,
    6424, 6824, 7224, 7623, 8022, 8421, 8820, 9218,
    9616, 10014, 10411, 10808, 11204, 11600, 11996, 12391,
    12785, 13180, 13573, 13966, 14359, 14751, 15143, 15534,
    15924, 16314, 16703, 17091, 17479, 17867, 18253, 18639,
    19024, 19409, 19792, 20175, 20557, 20939, 21320, 21699,
    22078, 22457, 22834, 23210, 23586, 23961, 24335, 24708,
    25080, 25451, 25821, 26190, 26558, 26925, 27291, 27656,
    28020, 28383, 28745, 29106, 29466, 29824, 30182, 30538,
    30893, 31248, 31600, 31952, 32303, 32652, 33000, 33347,
    33692, 34037, 34380, 34721, 35062, 35401, 35738, 36075,
    36410, 36744, 37076, 37407, 37736, 38064, 38391, 38716,
    39040, 39362, 39683, 40002, 40320, 40636, 40951, 41264,
    41576, 41886, 42194, 42501, 42806, 43110, 43412, 43713,
    44011, 44308, 44604, 44898, 45190, 45480, 45769, 46056,
    46341, 46624, 46906, 47186, 47464, 47741, 48015, 48288,
    48559, 48828, 49095, 49361, 49624, 49886, 50146, 50404,
    50660, 50914, 51166, 51417, 51665, 51911, 52156, 52398,
    52639, 52878, 53114, 53349, 53581, 53812, 54040, 54267,
    54491, 54714, 54934, 55152, 55368, 55582, 55794, 56004,
    56212, 56418, 56621, 56823, 57022, 57219, 57414, 57607,
    57798, 57986, 58172, 58356, 58538, 58718, 58896, 59071,
    59244, 59415, 59583, 59750, 59914, 60075, 60235, 60392,
    60547, 60700, 60851, 60999, 61145, 61288, 61429, 61568,
    61705, 61839, 61971, 62101, 62228, 62353, 62476, 62596,
    62714, 62830, 62943, 63054, 63162, 63268, 63372, 63473,
    63572, 63668, 63763, 63854, 63944, 64031, 64115, 64197,
    64277, 64354, 64429, 64501, 64571, 64639, 64704, 64766,
    64827, 64884, 64940, 64993, 65043, 65091, 65137, 65180,
    65220, 65259, 65294, 65328, 65358, 65387, 65413, 65436,
    65457, 65476, 65492, 65505, 65516, 65525, 65531, 65535,
};
 
/// floor(i * 2π)
const u16 gMath_TwoPiSteps[8] = {
    0, 6, 12, 18, 25, 31, 37, 43,
};
 
/// The sine at 0, 90, 180 and 270 degrees, in Q16.
const s32 gMath_QuadrantSin[4] = {
    0, 65536, 0, -65536,
};
 
/// Tangents scaled by 256: index i is tan(i * 45 / 128 degrees),
/// so index 128 is tan(45 degrees).
/// ArcTan2 starts its binary search at index 127.
const u16 gMath_TanTable[258] = {
    0, 1, 3, 4, 6, 7, 9, 11,
    12, 14, 15, 17, 18, 20, 22, 23,
    25, 26, 28, 30, 31, 33, 34, 36,
    38, 39, 41, 42, 44, 46, 47, 49,
    50, 52, 54, 55, 57, 59, 60, 62,
    64, 65, 67, 69, 70, 72, 74, 76,
    77, 79, 81, 82, 84, 86, 88, 89,
    91, 93, 95, 97, 98, 100, 102, 104,
    106, 108, 109, 111, 113, 115, 117, 119,
    121, 123, 125, 127, 129, 131, 133, 135,
    137, 139, 141, 143, 145, 147, 149, 151,
    153, 155, 158, 160, 162, 164, 166, 169,
    171, 173, 175, 178, 180, 182, 185, 187,
    190, 192, 195, 197, 200, 202, 205, 207,
    210, 213, 215, 218, 221, 224, 226, 229,
    232, 235, 238, 241, 244, 247, 250, 253,
    256, 259, 262, 266, 269, 272, 276, 279,
    283, 286, 290, 293, 297, 301, 304, 308,
    312, 316, 320, 324, 328, 333, 337, 341,
    346, 350, 355, 359, 364, 369, 374, 379,
    384, 389, 394, 400, 405, 411, 416, 422,
    428, 434, 440, 447, 453, 460, 466, 473,
    480, 487, 495, 502, 510, 518, 526, 534,
    543, 552, 561, 570, 580, 589, 599, 610,
    620, 631, 643, 654, 666, 679, 692, 705,
    719, 733, 748, 763, 779, 795, 813, 830,
    849, 868, 888, 909, 931, 954, 978, 1003,
    1029, 1057, 1086, 1117, 1150, 1184, 1220, 1259,
    1299, 1343, 1389, 1439, 1492, 1549, 1611, 1677,
    1749, 1827, 1913, 2007, 2110, 2224, 2351, 2494,
    2654, 2836, 3045, 3287, 3571, 3907, 4313, 4813,
    5444, 6264, 7374, 8962, 11421, 15736, 25290, 64362,
    65535, 0,
};
// clang-format on