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path: root/src/code/sys_math_atan.c
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#include "global.h"

u16 sATan2Tbl[] = {
    0x0,    0xA,    0x14,   0x1F,   0x29,   0x33,   0x3D,   0x47,   0x51,   0x5C,   0x66,   0x70,   0x7A,   0x84,
    0x8F,   0x99,   0xA3,   0xAD,   0xB7,   0xC2,   0xCC,   0xD6,   0xE0,   0xEA,   0xF4,   0xFF,   0x109,  0x113,
    0x11D,  0x127,  0x131,  0x13C,  0x146,  0x150,  0x15A,  0x164,  0x16F,  0x179,  0x183,  0x18D,  0x197,  0x1A1,
    0x1AC,  0x1B6,  0x1C0,  0x1CA,  0x1D4,  0x1DE,  0x1E9,  0x1F3,  0x1FD,  0x207,  0x211,  0x21B,  0x226,  0x230,
    0x23A,  0x244,  0x24E,  0x258,  0x262,  0x26D,  0x277,  0x281,  0x28B,  0x295,  0x29F,  0x2A9,  0x2B4,  0x2BE,
    0x2C8,  0x2D2,  0x2DC,  0x2E6,  0x2F0,  0x2FB,  0x305,  0x30F,  0x319,  0x323,  0x32D,  0x337,  0x341,  0x34C,
    0x356,  0x360,  0x36A,  0x374,  0x37E,  0x388,  0x392,  0x39C,  0x3A7,  0x3B1,  0x3BB,  0x3C5,  0x3CF,  0x3D9,
    0x3E3,  0x3ED,  0x3F7,  0x401,  0x40C,  0x416,  0x420,  0x42A,  0x434,  0x43E,  0x448,  0x452,  0x45C,  0x466,
    0x470,  0x47A,  0x484,  0x48E,  0x499,  0x4A3,  0x4AD,  0x4B7,  0x4C1,  0x4CB,  0x4D5,  0x4DF,  0x4E9,  0x4F3,
    0x4FD,  0x507,  0x511,  0x51B,  0x525,  0x52F,  0x539,  0x543,  0x54D,  0x557,  0x561,  0x56B,  0x575,  0x57F,
    0x589,  0x593,  0x59D,  0x5A7,  0x5B1,  0x5BB,  0x5C5,  0x5CF,  0x5D9,  0x5E3,  0x5ED,  0x5F7,  0x601,  0x60B,
    0x615,  0x61F,  0x629,  0x633,  0x63D,  0x647,  0x651,  0x65B,  0x665,  0x66E,  0x678,  0x682,  0x68C,  0x696,
    0x6A0,  0x6AA,  0x6B4,  0x6BE,  0x6C8,  0x6D2,  0x6DC,  0x6E5,  0x6EF,  0x6F9,  0x703,  0x70D,  0x717,  0x721,
    0x72B,  0x735,  0x73E,  0x748,  0x752,  0x75C,  0x766,  0x770,  0x77A,  0x783,  0x78D,  0x797,  0x7A1,  0x7AB,
    0x7B5,  0x7BE,  0x7C8,  0x7D2,  0x7DC,  0x7E6,  0x7EF,  0x7F9,  0x803,  0x80D,  0x817,  0x820,  0x82A,  0x834,
    0x83E,  0x848,  0x851,  0x85B,  0x865,  0x86F,  0x878,  0x882,  0x88C,  0x896,  0x89F,  0x8A9,  0x8B3,  0x8BD,
    0x8C6,  0x8D0,  0x8DA,  0x8E3,  0x8ED,  0x8F7,  0x901,  0x90A,  0x914,  0x91E,  0x927,  0x931,  0x93B,  0x944,
    0x94E,  0x958,  0x961,  0x96B,  0x975,  0x97E,  0x988,  0x992,  0x99B,  0x9A5,  0x9AE,  0x9B8,  0x9C2,  0x9CB,
    0x9D5,  0x9DE,  0x9E8,  0x9F2,  0x9FB,  0xA05,  0xA0E,  0xA18,  0xA22,  0xA2B,  0xA35,  0xA3E,  0xA48,  0xA51,
    0xA5B,  0xA64,  0xA6E,  0xA77,  0xA81,  0xA8B,  0xA94,  0xA9E,  0xAA7,  0xAB1,  0xABA,  0xAC4,  0xACD,  0xAD7,
    0xAE0,  0xAE9,  0xAF3,  0xAFC,  0xB06,  0xB0F,  0xB19,  0xB22,  0xB2C,  0xB35,  0xB3F,  0xB48,  0xB51,  0xB5B,
    0xB64,  0xB6E,  0xB77,  0xB80,  0xB8A,  0xB93,  0xB9D,  0xBA6,  0xBAF,  0xBB9,  0xBC2,  0xBCB,  0xBD5,  0xBDE,
    0xBE7,  0xBF1,  0xBFA,  0xC03,  0xC0D,  0xC16,  0xC1F,  0xC29,  0xC32,  0xC3B,  0xC45,  0xC4E,  0xC57,  0xC60,
    0xC6A,  0xC73,  0xC7C,  0xC86,  0xC8F,  0xC98,  0xCA1,  0xCAB,  0xCB4,  0xCBD,  0xCC6,  0xCCF,  0xCD9,  0xCE2,
    0xCEB,  0xCF4,  0xCFD,  0xD07,  0xD10,  0xD19,  0xD22,  0xD2B,  0xD34,  0xD3E,  0xD47,  0xD50,  0xD59,  0xD62,
    0xD6B,  0xD74,  0xD7D,  0xD87,  0xD90,  0xD99,  0xDA2,  0xDAB,  0xDB4,  0xDBD,  0xDC6,  0xDCF,  0xDD8,  0xDE1,
    0xDEA,  0xDF3,  0xDFC,  0xE05,  0xE0F,  0xE18,  0xE21,  0xE2A,  0xE33,  0xE3C,  0xE45,  0xE4E,  0xE56,  0xE5F,
    0xE68,  0xE71,  0xE7A,  0xE83,  0xE8C,  0xE95,  0xE9E,  0xEA7,  0xEB0,  0xEB9,  0xEC2,  0xECB,  0xED4,  0xEDC,
    0xEE5,  0xEEE,  0xEF7,  0xF00,  0xF09,  0xF12,  0xF1B,  0xF23,  0xF2C,  0xF35,  0xF3E,  0xF47,  0xF50,  0xF58,
    0xF61,  0xF6A,  0xF73,  0xF7C,  0xF84,  0xF8D,  0xF96,  0xF9F,  0xFA7,  0xFB0,  0xFB9,  0xFC2,  0xFCA,  0xFD3,
    0xFDC,  0xFE5,  0xFED,  0xFF6,  0xFFF,  0x1007, 0x1010, 0x1019, 0x1021, 0x102A, 0x1033, 0x103B, 0x1044, 0x104D,
    0x1055, 0x105E, 0x1067, 0x106F, 0x1078, 0x1080, 0x1089, 0x1092, 0x109A, 0x10A3, 0x10AB, 0x10B4, 0x10BC, 0x10C5,
    0x10CE, 0x10D6, 0x10DF, 0x10E7, 0x10F0, 0x10F8, 0x1101, 0x1109, 0x1112, 0x111A, 0x1123, 0x112B, 0x1134, 0x113C,
    0x1145, 0x114D, 0x1156, 0x115E, 0x1166, 0x116F, 0x1177, 0x1180, 0x1188, 0x1191, 0x1199, 0x11A1, 0x11AA, 0x11B2,
    0x11BB, 0x11C3, 0x11CB, 0x11D4, 0x11DC, 0x11E4, 0x11ED, 0x11F5, 0x11FD, 0x1206, 0x120E, 0x1216, 0x121F, 0x1227,
    0x122F, 0x1237, 0x1240, 0x1248, 0x1250, 0x1259, 0x1261, 0x1269, 0x1271, 0x127A, 0x1282, 0x128A, 0x1292, 0x129A,
    0x12A3, 0x12AB, 0x12B3, 0x12BB, 0x12C3, 0x12CC, 0x12D4, 0x12DC, 0x12E4, 0x12EC, 0x12F4, 0x12FC, 0x1305, 0x130D,
    0x1315, 0x131D, 0x1325, 0x132D, 0x1335, 0x133D, 0x1345, 0x134D, 0x1355, 0x135E, 0x1366, 0x136E, 0x1376, 0x137E,
    0x1386, 0x138E, 0x1396, 0x139E, 0x13A6, 0x13AE, 0x13B6, 0x13BE, 0x13C6, 0x13CE, 0x13D6, 0x13DE, 0x13E6, 0x13ED,
    0x13F5, 0x13FD, 0x1405, 0x140D, 0x1415, 0x141D, 0x1425, 0x142D, 0x1435, 0x143D, 0x1444, 0x144C, 0x1454, 0x145C,
    0x1464, 0x146C, 0x1473, 0x147B, 0x1483, 0x148B, 0x1493, 0x149B, 0x14A2, 0x14AA, 0x14B2, 0x14BA, 0x14C1, 0x14C9,
    0x14D1, 0x14D9, 0x14E0, 0x14E8, 0x14F0, 0x14F8, 0x14FF, 0x1507, 0x150F, 0x1516, 0x151E, 0x1526, 0x152D, 0x1535,
    0x153D, 0x1544, 0x154C, 0x1554, 0x155B, 0x1563, 0x156B, 0x1572, 0x157A, 0x1581, 0x1589, 0x1591, 0x1598, 0x15A0,
    0x15A7, 0x15AF, 0x15B7, 0x15BE, 0x15C6, 0x15CD, 0x15D5, 0x15DC, 0x15E4, 0x15EB, 0x15F3, 0x15FA, 0x1602, 0x1609,
    0x1611, 0x1618, 0x1620, 0x1627, 0x162F, 0x1636, 0x163E, 0x1645, 0x164C, 0x1654, 0x165B, 0x1663, 0x166A, 0x1671,
    0x1679, 0x1680, 0x1688, 0x168F, 0x1696, 0x169E, 0x16A5, 0x16AC, 0x16B4, 0x16BB, 0x16C2, 0x16CA, 0x16D1, 0x16D8,
    0x16E0, 0x16E7, 0x16EE, 0x16F6, 0x16FD, 0x1704, 0x170B, 0x1713, 0x171A, 0x1721, 0x1728, 0x1730, 0x1737, 0x173E,
    0x1745, 0x174C, 0x1754, 0x175B, 0x1762, 0x1769, 0x1770, 0x1778, 0x177F, 0x1786, 0x178D, 0x1794, 0x179B, 0x17A2,
    0x17AA, 0x17B1, 0x17B8, 0x17BF, 0x17C6, 0x17CD, 0x17D4, 0x17DB, 0x17E2, 0x17E9, 0x17F0, 0x17F7, 0x17FE, 0x1806,
    0x180D, 0x1814, 0x181B, 0x1822, 0x1829, 0x1830, 0x1837, 0x183E, 0x1845, 0x184C, 0x1853, 0x185A, 0x1860, 0x1867,
    0x186E, 0x1875, 0x187C, 0x1883, 0x188A, 0x1891, 0x1898, 0x189F, 0x18A6, 0x18AD, 0x18B3, 0x18BA, 0x18C1, 0x18C8,
    0x18CF, 0x18D6, 0x18DD, 0x18E3, 0x18EA, 0x18F1, 0x18F8, 0x18FF, 0x1906, 0x190C, 0x1913, 0x191A, 0x1921, 0x1928,
    0x192E, 0x1935, 0x193C, 0x1943, 0x1949, 0x1950, 0x1957, 0x195D, 0x1964, 0x196B, 0x1972, 0x1978, 0x197F, 0x1986,
    0x198C, 0x1993, 0x199A, 0x19A0, 0x19A7, 0x19AE, 0x19B4, 0x19BB, 0x19C2, 0x19C8, 0x19CF, 0x19D5, 0x19DC, 0x19E3,
    0x19E9, 0x19F0, 0x19F6, 0x19FD, 0x1A04, 0x1A0A, 0x1A11, 0x1A17, 0x1A1E, 0x1A24, 0x1A2B, 0x1A31, 0x1A38, 0x1A3E,
    0x1A45, 0x1A4B, 0x1A52, 0x1A58, 0x1A5F, 0x1A65, 0x1A6C, 0x1A72, 0x1A79, 0x1A7F, 0x1A86, 0x1A8C, 0x1A93, 0x1A99,
    0x1A9F, 0x1AA6, 0x1AAC, 0x1AB3, 0x1AB9, 0x1AC0, 0x1AC6, 0x1ACC, 0x1AD3, 0x1AD9, 0x1ADF, 0x1AE6, 0x1AEC, 0x1AF2,
    0x1AF9, 0x1AFF, 0x1B05, 0x1B0C, 0x1B12, 0x1B18, 0x1B1F, 0x1B25, 0x1B2B, 0x1B32, 0x1B38, 0x1B3E, 0x1B44, 0x1B4B,
    0x1B51, 0x1B57, 0x1B5D, 0x1B64, 0x1B6A, 0x1B70, 0x1B76, 0x1B7D, 0x1B83, 0x1B89, 0x1B8F, 0x1B95, 0x1B9C, 0x1BA2,
    0x1BA8, 0x1BAE, 0x1BB4, 0x1BBA, 0x1BC1, 0x1BC7, 0x1BCD, 0x1BD3, 0x1BD9, 0x1BDF, 0x1BE5, 0x1BEB, 0x1BF2, 0x1BF8,
    0x1BFE, 0x1C04, 0x1C0A, 0x1C10, 0x1C16, 0x1C1C, 0x1C22, 0x1C28, 0x1C2E, 0x1C34, 0x1C3A, 0x1C40, 0x1C46, 0x1C4C,
    0x1C52, 0x1C58, 0x1C5E, 0x1C64, 0x1C6A, 0x1C70, 0x1C76, 0x1C7C, 0x1C82, 0x1C88, 0x1C8E, 0x1C94, 0x1C9A, 0x1CA0,
    0x1CA6, 0x1CAC, 0x1CB2, 0x1CB8, 0x1CBE, 0x1CC3, 0x1CC9, 0x1CCF, 0x1CD5, 0x1CDB, 0x1CE1, 0x1CE7, 0x1CED, 0x1CF3,
    0x1CF8, 0x1CFE, 0x1D04, 0x1D0A, 0x1D10, 0x1D16, 0x1D1B, 0x1D21, 0x1D27, 0x1D2D, 0x1D33, 0x1D38, 0x1D3E, 0x1D44,
    0x1D4A, 0x1D4F, 0x1D55, 0x1D5B, 0x1D61, 0x1D66, 0x1D6C, 0x1D72, 0x1D78, 0x1D7D, 0x1D83, 0x1D89, 0x1D8E, 0x1D94,
    0x1D9A, 0x1DA0, 0x1DA5, 0x1DAB, 0x1DB1, 0x1DB6, 0x1DBC, 0x1DC2, 0x1DC7, 0x1DCD, 0x1DD3, 0x1DD8, 0x1DDE, 0x1DE3,
    0x1DE9, 0x1DEF, 0x1DF4, 0x1DFA, 0x1DFF, 0x1E05, 0x1E0B, 0x1E10, 0x1E16, 0x1E1B, 0x1E21, 0x1E26, 0x1E2C, 0x1E32,
    0x1E37, 0x1E3D, 0x1E42, 0x1E48, 0x1E4D, 0x1E53, 0x1E58, 0x1E5E, 0x1E63, 0x1E69, 0x1E6E, 0x1E74, 0x1E79, 0x1E7F,
    0x1E84, 0x1E8A, 0x1E8F, 0x1E94, 0x1E9A, 0x1E9F, 0x1EA5, 0x1EAA, 0x1EB0, 0x1EB5, 0x1EBA, 0x1EC0, 0x1EC5, 0x1ECB,
    0x1ED0, 0x1ED5, 0x1EDB, 0x1EE0, 0x1EE6, 0x1EEB, 0x1EF0, 0x1EF6, 0x1EFB, 0x1F00, 0x1F06, 0x1F0B, 0x1F10, 0x1F16,
    0x1F1B, 0x1F20, 0x1F26, 0x1F2B, 0x1F30, 0x1F36, 0x1F3B, 0x1F40, 0x1F45, 0x1F4B, 0x1F50, 0x1F55, 0x1F5A, 0x1F60,
    0x1F65, 0x1F6A, 0x1F6F, 0x1F75, 0x1F7A, 0x1F7F, 0x1F84, 0x1F8A, 0x1F8F, 0x1F94, 0x1F99, 0x1F9E, 0x1FA4, 0x1FA9,
    0x1FAE, 0x1FB3, 0x1FB8, 0x1FBD, 0x1FC3, 0x1FC8, 0x1FCD, 0x1FD2, 0x1FD7, 0x1FDC, 0x1FE1, 0x1FE6, 0x1FEC, 0x1FF1,
    0x1FF6, 0x1FFB, 0x2000,
};

u16 Math_GetAtan2Tbl(f32 y, f32 x) {
    return sATan2Tbl[(s32)((y / x) * 0x400)];
}

s16 Math_Atan2S(f32 y, f32 x) {
    s32 angle;

    if (y == 0.0f) {
        if (x >= 0.0f) {
            angle = 0;
        } else {
            angle = 0x8000;
        }
    } else if (x == 0.0f) {
        if (y >= 0.0f) {
            angle = 0x4000;
        } else {
            angle = 0xC000;
        }
    } else if (y >= 0.0f) {
        if (x >= 0.0f) {
            if (y <= x) {
                angle = Math_GetAtan2Tbl(y, x);
            } else {
                angle = 0x4000 - Math_GetAtan2Tbl(x, y);
            }
        } else {
            if (-x < y) {
                angle = Math_GetAtan2Tbl(-x, y) + 0x4000;
            } else {
                angle = 0x8000 - Math_GetAtan2Tbl(y, -x);
            }
        }
    } else if (x < 0.0f) {
        if (-y <= -x) {
            angle = Math_GetAtan2Tbl(-y, -x) + 0x8000;
        } else {
            angle = 0xC000 - Math_GetAtan2Tbl(-x, -y);
        }
    } else {
        if (x < -y) {
            angle = Math_GetAtan2Tbl(x, -y) + 0xC000;
        } else {
            angle = -Math_GetAtan2Tbl(-y, x);
        }
    }
    return angle;
}

f32 Math_Atan2F(f32 y, f32 x) {
    return Math_Atan2S(y, x) * (M_PI / 0x8000);
}

// Match the OoT implementation of Math_Atan2S
s16 Math_Atan2S_XY(f32 x, f32 y) {
    return Math_Atan2S(y, x);
}

// Match the OoT implementation of Math_Atan2F
f32 Math_Atan2F_XY(f32 x, f32 y) {
    return Math_Atan2F(y, x);
}