#ifndef TRIGONOMETRY_TABLE_HPP #define TRIGONOMETRY_TABLE_HPP #include "util/typedefs.hpp" #include #include #include namespace osrm { namespace util { constexpr unsigned short atan_table[4096] = { 0x0000, 0x0014, 0x0028, 0x003d, 0x0051, 0x0065, 0x007a, 0x008e, 0x00a3, 0x00b7, 0x00cb, 0x00e0, 0x00f4, 0x0108, 0x011d, 0x0131, 0x0146, 0x015a, 0x016e, 0x0183, 0x0197, 0x01ab, 0x01c0, 0x01d4, 0x01e9, 0x01fd, 0x0211, 0x0226, 0x023a, 0x024e, 0x0263, 0x0277, 0x028c, 0x02a0, 0x02b4, 0x02c9, 0x02dd, 0x02f1, 0x0306, 0x031a, 0x032f, 0x0343, 0x0357, 0x036c, 0x0380, 0x0394, 0x03a9, 0x03bd, 0x03d2, 0x03e6, 0x03fa, 0x040f, 0x0423, 0x0437, 0x044c, 0x0460, 0x0475, 0x0489, 0x049d, 0x04b2, 0x04c6, 0x04da, 0x04ef, 0x0503, 0x0517, 0x052c, 0x0540, 0x0555, 0x0569, 0x057d, 0x0592, 0x05a6, 0x05ba, 0x05cf, 0x05e3, 0x05f8, 0x060c, 0x0620, 0x0635, 0x0649, 0x065d, 0x0672, 0x0686, 0x069b, 0x06af, 0x06c3, 0x06d8, 0x06ec, 0x0700, 0x0715, 0x0729, 0x073d, 0x0752, 0x0766, 0x077b, 0x078f, 0x07a3, 0x07b8, 0x07cc, 0x07e0, 0x07f5, 0x0809, 0x081d, 0x0832, 0x0846, 0x085b, 0x086f, 0x0883, 0x0898, 0x08ac, 0x08c0, 0x08d5, 0x08e9, 0x08fd, 0x0912, 0x0926, 0x093b, 0x094f, 0x0963, 0x0978, 0x098c, 0x09a0, 0x09b5, 0x09c9, 0x09dd, 0x09f2, 0x0a06, 0x0a1a, 0x0a2f, 0x0a43, 0x0a58, 0x0a6c, 0x0a80, 0x0a95, 0x0aa9, 0x0abd, 0x0ad2, 0x0ae6, 0x0afa, 0x0b0f, 0x0b23, 0x0b37, 0x0b4c, 0x0b60, 0x0b75, 0x0b89, 0x0b9d, 0x0bb2, 0x0bc6, 0x0bda, 0x0bef, 0x0c03, 0x0c17, 0x0c2c, 0x0c40, 0x0c54, 0x0c69, 0x0c7d, 0x0c91, 0x0ca6, 0x0cba, 0x0cce, 0x0ce3, 0x0cf7, 0x0d0b, 0x0d20, 0x0d34, 0x0d48, 0x0d5d, 0x0d71, 0x0d86, 0x0d9a, 0x0dae, 0x0dc3, 0x0dd7, 0x0deb, 0x0e00, 0x0e14, 0x0e28, 0x0e3d, 0x0e51, 0x0e65, 0x0e7a, 0x0e8e, 0x0ea2, 0x0eb7, 0x0ecb, 0x0edf, 0x0ef4, 0x0f08, 0x0f1c, 0x0f31, 0x0f45, 0x0f59, 0x0f6e, 0x0f82, 0x0f96, 0x0fab, 0x0fbf, 0x0fd3, 0x0fe8, 0x0ffc, 0x1010, 0x1025, 0x1039, 0x104d, 0x1062, 0x1076, 0x108a, 0x109e, 0x10b3, 0x10c7, 0x10db, 0x10f0, 0x1104, 0x1118, 0x112d, 0x1141, 0x1155, 0x116a, 0x117e, 0x1192, 0x11a7, 0x11bb, 0x11cf, 0x11e4, 0x11f8, 0x120c, 0x1221, 0x1235, 0x1249, 0x125d, 0x1272, 0x1286, 0x129a, 0x12af, 0x12c3, 0x12d7, 0x12ec, 0x1300, 0x1314, 0x1329, 0x133d, 0x1351, 0x1365, 0x137a, 0x138e, 0x13a2, 0x13b7, 0x13cb, 0x13df, 0x13f4, 0x1408, 0x141c, 0x1431, 0x1445, 0x1459, 0x146d, 0x1482, 0x1496, 0x14aa, 0x14bf, 0x14d3, 0x14e7, 0x14fb, 0x1510, 0x1524, 0x1538, 0x154d, 0x1561, 0x1575, 0x1589, 0x159e, 0x15b2, 0x15c6, 0x15db, 0x15ef, 0x1603, 0x1617, 0x162c, 0x1640, 0x1654, 0x1669, 0x167d, 0x1691, 0x16a5, 0x16ba, 0x16ce, 0x16e2, 0x16f7, 0x170b, 0x171f, 0x1733, 0x1748, 0x175c, 0x1770, 0x1784, 0x1799, 0x17ad, 0x17c1, 0x17d6, 0x17ea, 0x17fe, 0x1812, 0x1827, 0x183b, 0x184f, 0x1863, 0x1878, 0x188c, 0x18a0, 0x18b4, 0x18c9, 0x18dd, 0x18f1, 0x1905, 0x191a, 0x192e, 0x1942, 0x1957, 0x196b, 0x197f, 0x1993, 0x19a8, 0x19bc, 0x19d0, 0x19e4, 0x19f9, 0x1a0d, 0x1a21, 0x1a35, 0x1a49, 0x1a5e, 0x1a72, 0x1a86, 0x1a9a, 0x1aaf, 0x1ac3, 0x1ad7, 0x1aeb, 0x1b00, 0x1b14, 0x1b28, 0x1b3c, 0x1b51, 0x1b65, 0x1b79, 0x1b8d, 0x1ba2, 0x1bb6, 0x1bca, 0x1bde, 0x1bf2, 0x1c07, 0x1c1b, 0x1c2f, 0x1c43, 0x1c58, 0x1c6c, 0x1c80, 0x1c94, 0x1ca8, 0x1cbd, 0x1cd1, 0x1ce5, 0x1cf9, 0x1d0e, 0x1d22, 0x1d36, 0x1d4a, 0x1d5e, 0x1d73, 0x1d87, 0x1d9b, 0x1daf, 0x1dc3, 0x1dd8, 0x1dec, 0x1e00, 0x1e14, 0x1e28, 0x1e3d, 0x1e51, 0x1e65, 0x1e79, 0x1e8d, 0x1ea2, 0x1eb6, 0x1eca, 0x1ede, 0x1ef2, 0x1f07, 0x1f1b, 0x1f2f, 0x1f43, 0x1f57, 0x1f6c, 0x1f80, 0x1f94, 0x1fa8, 0x1fbc, 0x1fd1, 0x1fe5, 0x1ff9, 0x200d, 0x2021, 0x2035, 0x204a, 0x205e, 0x2072, 0x2086, 0x209a, 0x20ae, 0x20c3, 0x20d7, 0x20eb, 0x20ff, 0x2113, 0x2127, 0x213c, 0x2150, 0x2164, 0x2178, 0x218c, 0x21a0, 0x21b5, 0x21c9, 0x21dd, 0x21f1, 0x2205, 0x2219, 0x222e, 0x2242, 0x2256, 0x226a, 0x227e, 0x2292, 0x22a6, 0x22bb, 0x22cf, 0x22e3, 0x22f7, 0x230b, 0x231f, 0x2333, 0x2348, 0x235c, 0x2370, 0x2384, 0x2398, 0x23ac, 0x23c0, 0x23d5, 0x23e9, 0x23fd, 0x2411, 0x2425, 0x2439, 0x244d, 0x2461, 0x2476, 0x248a, 0x249e, 0x24b2, 0x24c6, 0x24da, 0x24ee, 0x2502, 0x2517, 0x252b, 0x253f, 0x2553, 0x2567, 0x257b, 0x258f, 0x25a3, 0x25b7, 0x25cb, 0x25e0, 0x25f4, 0x2608, 0x261c, 0x2630, 0x2644, 0x2658, 0x266c, 0x2680, 0x2694, 0x26a9, 0x26bd, 0x26d1, 0x26e5, 0x26f9, 0x270d, 0x2721, 0x2735, 0x2749, 0x275d, 0x2771, 0x2785, 0x279a, 0x27ae, 0x27c2, 0x27d6, 0x27ea, 0x27fe, 0x2812, 0x2826, 0x283a, 0x284e, 0x2862, 0x2876, 0x288a, 0x289e, 0x28b3, 0x28c7, 0x28db, 0x28ef, 0x2903, 0x2917, 0x292b, 0x293f, 0x2953, 0x2967, 0x297b, 0x298f, 0x29a3, 0x29b7, 0x29cb, 0x29df, 0x29f3, 0x2a07, 0x2a1b, 0x2a2f, 0x2a43, 0x2a58, 0x2a6c, 0x2a80, 0x2a94, 0x2aa8, 0x2abc, 0x2ad0, 0x2ae4, 0x2af8, 0x2b0c, 0x2b20, 0x2b34, 0x2b48, 0x2b5c, 0x2b70, 0x2b84, 0x2b98, 0x2bac, 0x2bc0, 0x2bd4, 0x2be8, 0x2bfc, 0x2c10, 0x2c24, 0x2c38, 0x2c4c, 0x2c60, 0x2c74, 0x2c88, 0x2c9c, 0x2cb0, 0x2cc4, 0x2cd8, 0x2cec, 0x2d00, 0x2d14, 0x2d28, 0x2d3c, 0x2d50, 0x2d64, 0x2d78, 0x2d8c, 0x2da0, 0x2db4, 0x2dc8, 0x2ddc, 0x2df0, 0x2e04, 0x2e18, 0x2e2c, 0x2e40, 0x2e54, 0x2e68, 0x2e7c, 0x2e90, 0x2ea3, 0x2eb7, 0x2ecb, 0x2edf, 0x2ef3, 0x2f07, 0x2f1b, 0x2f2f, 0x2f43, 0x2f57, 0x2f6b, 0x2f7f, 0x2f93, 0x2fa7, 0x2fbb, 0x2fcf, 0x2fe3, 0x2ff7, 0x300b, 0x301e, 0x3032, 0x3046, 0x305a, 0x306e, 0x3082, 0x3096, 0x30aa, 0x30be, 0x30d2, 0x30e6, 0x30fa, 0x310e, 0x3122, 0x3135, 0x3149, 0x315d, 0x3171, 0x3185, 0x3199, 0x31ad, 0x31c1, 0x31d5, 0x31e9, 0x31fd, 0x3210, 0x3224, 0x3238, 0x324c, 0x3260, 0x3274, 0x3288, 0x329c, 0x32b0, 0x32c3, 0x32d7, 0x32eb, 0x32ff, 0x3313, 0x3327, 0x333b, 0x334f, 0x3363, 0x3376, 0x338a, 0x339e, 0x33b2, 0x33c6, 0x33da, 0x33ee, 0x3401, 0x3415, 0x3429, 0x343d, 0x3451, 0x3465, 0x3479, 0x348c, 0x34a0, 0x34b4, 0x34c8, 0x34dc, 0x34f0, 0x3504, 0x3517, 0x352b, 0x353f, 0x3553, 0x3567, 0x357b, 0x358e, 0x35a2, 0x35b6, 0x35ca, 0x35de, 0x35f2, 0x3605, 0x3619, 0x362d, 0x3641, 0x3655, 0x3668, 0x367c, 0x3690, 0x36a4, 0x36b8, 0x36cb, 0x36df, 0x36f3, 0x3707, 0x371b, 0x372f, 0x3742, 0x3756, 0x376a, 0x377e, 0x3791, 0x37a5, 0x37b9, 0x37cd, 0x37e1, 0x37f4, 0x3808, 0x381c, 0x3830, 0x3844, 0x3857, 0x386b, 0x387f, 0x3893, 0x38a6, 0x38ba, 0x38ce, 0x38e2, 0x38f5, 0x3909, 0x391d, 0x3931, 0x3944, 0x3958, 0x396c, 0x3980, 0x3993, 0x39a7, 0x39bb, 0x39cf, 0x39e2, 0x39f6, 0x3a0a, 0x3a1e, 0x3a31, 0x3a45, 0x3a59, 0x3a6d, 0x3a80, 0x3a94, 0x3aa8, 0x3abb, 0x3acf, 0x3ae3, 0x3af7, 0x3b0a, 0x3b1e, 0x3b32, 0x3b45, 0x3b59, 0x3b6d, 0x3b81, 0x3b94, 0x3ba8, 0x3bbc, 0x3bcf, 0x3be3, 0x3bf7, 0x3c0b, 0x3c1e, 0x3c32, 0x3c46, 0x3c59, 0x3c6d, 0x3c81, 0x3c94, 0x3ca8, 0x3cbc, 0x3ccf, 0x3ce3, 0x3cf7, 0x3d0a, 0x3d1e, 0x3d32, 0x3d45, 0x3d59, 0x3d6d, 0x3d80, 0x3d94, 0x3da8, 0x3dbb, 0x3dcf, 0x3de3, 0x3df6, 0x3e0a, 0x3e1e, 0x3e31, 0x3e45, 0x3e59, 0x3e6c, 0x3e80, 0x3e93, 0x3ea7, 0x3ebb, 0x3ece, 0x3ee2, 0x3ef6, 0x3f09, 0x3f1d, 0x3f30, 0x3f44, 0x3f58, 0x3f6b, 0x3f7f, 0x3f93, 0x3fa6, 0x3fba, 0x3fcd, 0x3fe1, 0x3ff5, 0x4008, 0x401c, 0x402f, 0x4043, 0x4057, 0x406a, 0x407e, 0x4091, 0x40a5, 0x40b8, 0x40cc, 0x40e0, 0x40f3, 0x4107, 0x411a, 0x412e, 0x4142, 0x4155, 0x4169, 0x417c, 0x4190, 0x41a3, 0x41b7, 0x41ca, 0x41de, 0x41f2, 0x4205, 0x4219, 0x422c, 0x4240, 0x4253, 0x4267, 0x427a, 0x428e, 0x42a1, 0x42b5, 0x42c9, 0x42dc, 0x42f0, 0x4303, 0x4317, 0x432a, 0x433e, 0x4351, 0x4365, 0x4378, 0x438c, 0x439f, 0x43b3, 0x43c6, 0x43da, 0x43ed, 0x4401, 0x4414, 0x4428, 0x443b, 0x444f, 0x4462, 0x4476, 0x4489, 0x449d, 0x44b0, 0x44c4, 0x44d7, 0x44eb, 0x44fe, 0x4512, 0x4525, 0x4539, 0x454c, 0x4560, 0x4573, 0x4586, 0x459a, 0x45ad, 0x45c1, 0x45d4, 0x45e8, 0x45fb, 0x460f, 0x4622, 0x4636, 0x4649, 0x465c, 0x4670, 0x4683, 0x4697, 0x46aa, 0x46be, 0x46d1, 0x46e5, 0x46f8, 0x470b, 0x471f, 0x4732, 0x4746, 0x4759, 0x476c, 0x4780, 0x4793, 0x47a7, 0x47ba, 0x47cd, 0x47e1, 0x47f4, 0x4808, 0x481b, 0x482e, 0x4842, 0x4855, 0x4869, 0x487c, 0x488f, 0x48a3, 0x48b6, 0x48ca, 0x48dd, 0x48f0, 0x4904, 0x4917, 0x492a, 0x493e, 0x4951, 0x4965, 0x4978, 0x498b, 0x499f, 0x49b2, 0x49c5, 0x49d9, 0x49ec, 0x49ff, 0x4a13, 0x4a26, 0x4a39, 0x4a4d, 0x4a60, 0x4a73, 0x4a87, 0x4a9a, 0x4aad, 0x4ac1, 0x4ad4, 0x4ae7, 0x4afb, 0x4b0e, 0x4b21, 0x4b35, 0x4b48, 0x4b5b, 0x4b6f, 0x4b82, 0x4b95, 0x4ba8, 0x4bbc, 0x4bcf, 0x4be2, 0x4bf6, 0x4c09, 0x4c1c, 0x4c2f, 0x4c43, 0x4c56, 0x4c69, 0x4c7d, 0x4c90, 0x4ca3, 0x4cb6, 0x4cca, 0x4cdd, 0x4cf0, 0x4d03, 0x4d17, 0x4d2a, 0x4d3d, 0x4d50, 0x4d64, 0x4d77, 0x4d8a, 0x4d9d, 0x4db1, 0x4dc4, 0x4dd7, 0x4dea, 0x4dfe, 0x4e11, 0x4e24, 0x4e37, 0x4e4b, 0x4e5e, 0x4e71, 0x4e84, 0x4e97, 0x4eab, 0x4ebe, 0x4ed1, 0x4ee4, 0x4ef7, 0x4f0b, 0x4f1e, 0x4f31, 0x4f44, 0x4f57, 0x4f6b, 0x4f7e, 0x4f91, 0x4fa4, 0x4fb7, 0x4fcb, 0x4fde, 0x4ff1, 0x5004, 0x5017, 0x502a, 0x503e, 0x5051, 0x5064, 0x5077, 0x508a, 0x509d, 0x50b1, 0x50c4, 0x50d7, 0x50ea, 0x50fd, 0x5110, 0x5123, 0x5137, 0x514a, 0x515d, 0x5170, 0x5183, 0x5196, 0x51a9, 0x51bc, 0x51d0, 0x51e3, 0x51f6, 0x5209, 0x521c, 0x522f, 0x5242, 0x5255, 0x5268, 0x527c, 0x528f, 0x52a2, 0x52b5, 0x52c8, 0x52db, 0x52ee, 0x5301, 0x5314, 0x5327, 0x533a, 0x534e, 0x5361, 0x5374, 0x5387, 0x539a, 0x53ad, 0x53c0, 0x53d3, 0x53e6, 0x53f9, 0x540c, 0x541f, 0x5432, 0x5445, 0x5458, 0x546b, 0x547e, 0x5491, 0x54a5, 0x54b8, 0x54cb, 0x54de, 0x54f1, 0x5504, 0x5517, 0x552a, 0x553d, 0x5550, 0x5563, 0x5576, 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0xf095, 0xf0a1, 0xf0ac, 0xf0b7, 0xf0c2, 0xf0cd, 0xf0d8, 0xf0e3, 0xf0ef, 0xf0fa, 0xf105, 0xf110, 0xf11b, 0xf126, 0xf131, 0xf13c, 0xf147, 0xf153, 0xf15e, 0xf169, 0xf174, 0xf17f, 0xf18a, 0xf195, 0xf1a0, 0xf1ab, 0xf1b6, 0xf1c2, 0xf1cd, 0xf1d8, 0xf1e3, 0xf1ee, 0xf1f9, 0xf204, 0xf20f, 0xf21a, 0xf225, 0xf230, 0xf23b, 0xf246, 0xf251, 0xf25c, 0xf267, 0xf272, 0xf27d, 0xf288, 0xf293, 0xf29f, 0xf2aa, 0xf2b5, 0xf2c0, 0xf2cb, 0xf2d6, 0xf2e1, 0xf2ec, 0xf2f7, 0xf302, 0xf30d, 0xf318, 0xf323, 0xf32e, 0xf339, 0xf344, 0xf34f, 0xf35a, 0xf364, 0xf36f, 0xf37a, 0xf385, 0xf390, 0xf39b, 0xf3a6, 0xf3b1, 0xf3bc, 0xf3c7, 0xf3d2, 0xf3dd, 0xf3e8, 0xf3f3, 0xf3fe, 0xf409, 0xf414, 0xf41f, 0xf42a, 0xf435, 0xf43f, 0xf44a, 0xf455, 0xf460, 0xf46b, 0xf476, 0xf481, 0xf48c, 0xf497, 0xf4a2, 0xf4ad, 0xf4b7, 0xf4c2, 0xf4cd, 0xf4d8, 0xf4e3, 0xf4ee, 0xf4f9, 0xf504, 0xf50f, 0xf519, 0xf524, 0xf52f, 0xf53a, 0xf545, 0xf550, 0xf55b, 0xf565, 0xf570, 0xf57b, 0xf586, 0xf591, 0xf59c, 0xf5a6, 0xf5b1, 0xf5bc, 0xf5c7, 0xf5d2, 0xf5dd, 0xf5e7, 0xf5f2, 0xf5fd, 0xf608, 0xf613, 0xf61d, 0xf628, 0xf633, 0xf63e, 0xf649, 0xf653, 0xf65e, 0xf669, 0xf674, 0xf67f, 0xf689, 0xf694, 0xf69f, 0xf6aa, 0xf6b4, 0xf6bf, 0xf6ca, 0xf6d5, 0xf6e0, 0xf6ea, 0xf6f5, 0xf700, 0xf70b, 0xf715, 0xf720, 0xf72b, 0xf736, 0xf740, 0xf74b, 0xf756, 0xf760, 0xf76b, 0xf776, 0xf781, 0xf78b, 0xf796, 0xf7a1, 0xf7ab, 0xf7b6, 0xf7c1, 0xf7cc, 0xf7d6, 0xf7e1, 0xf7ec, 0xf7f6, 0xf801, 0xf80c, 0xf816, 0xf821, 0xf82c, 0xf836, 0xf841, 0xf84c, 0xf856, 0xf861, 0xf86c, 0xf876, 0xf881, 0xf88c, 0xf896, 0xf8a1, 0xf8ac, 0xf8b6, 0xf8c1, 0xf8cc, 0xf8d6, 0xf8e1, 0xf8ec, 0xf8f6, 0xf901, 0xf90b, 0xf916, 0xf921, 0xf92b, 0xf936, 0xf941, 0xf94b, 0xf956, 0xf960, 0xf96b, 0xf976, 0xf980, 0xf98b, 0xf995, 0xf9a0, 0xf9aa, 0xf9b5, 0xf9c0, 0xf9ca, 0xf9d5, 0xf9df, 0xf9ea, 0xf9f4, 0xf9ff, 0xfa0a, 0xfa14, 0xfa1f, 0xfa29, 0xfa34, 0xfa3e, 0xfa49, 0xfa53, 0xfa5e, 0xfa69, 0xfa73, 0xfa7e, 0xfa88, 0xfa93, 0xfa9d, 0xfaa8, 0xfab2, 0xfabd, 0xfac7, 0xfad2, 0xfadc, 0xfae7, 0xfaf1, 0xfafc, 0xfb06, 0xfb11, 0xfb1b, 0xfb26, 0xfb30, 0xfb3b, 0xfb45, 0xfb50, 0xfb5a, 0xfb65, 0xfb6f, 0xfb7a, 0xfb84, 0xfb8f, 0xfb99, 0xfba4, 0xfbae, 0xfbb8, 0xfbc3, 0xfbcd, 0xfbd8, 0xfbe2, 0xfbed, 0xfbf7, 0xfc02, 0xfc0c, 0xfc16, 0xfc21, 0xfc2b, 0xfc36, 0xfc40, 0xfc4b, 0xfc55, 0xfc5f, 0xfc6a, 0xfc74, 0xfc7f, 0xfc89, 0xfc93, 0xfc9e, 0xfca8, 0xfcb3, 0xfcbd, 0xfcc7, 0xfcd2, 0xfcdc, 0xfce7, 0xfcf1, 0xfcfb, 0xfd06, 0xfd10, 0xfd1a, 0xfd25, 0xfd2f, 0xfd3a, 0xfd44, 0xfd4e, 0xfd59, 0xfd63, 0xfd6d, 0xfd78, 0xfd82, 0xfd8c, 0xfd97, 0xfda1, 0xfdab, 0xfdb6, 0xfdc0, 0xfdca, 0xfdd5, 0xfddf, 0xfde9, 0xfdf4, 0xfdfe, 0xfe08, 0xfe13, 0xfe1d, 0xfe27, 0xfe32, 0xfe3c, 0xfe46, 0xfe50, 0xfe5b, 0xfe65, 0xfe6f, 0xfe7a, 0xfe84, 0xfe8e, 0xfe98, 0xfea3, 0xfead, 0xfeb7, 0xfec1, 0xfecc, 0xfed6, 0xfee0, 0xfeeb, 0xfef5, 0xfeff, 0xff09, 0xff14, 0xff1e, 0xff28, 0xff32, 0xff3c, 0xff47, 0xff51, 0xff5b, 0xff65, 0xff70, 0xff7a, 0xff84, 0xff8e, 0xff98, 0xffa3, 0xffad, 0xffb7, 0xffc1, 0xffcc, 0xffd6, 0xffe0, 0xffea, 0xfff4, 0xffff}; // max value is pi/4 #ifdef _MSC_VER // TODO: remove as soon as boost allows C++14 features with Visual Studio const constexpr double SCALING_FACTOR = 4. / M_PI * 0xFFFF; #else const constexpr double SCALING_FACTOR = 4. / boost::math::constants::pi() * 0xFFFF; #endif inline double atan2_lookup(double y, double x) { using namespace boost::math::constants; if (std::abs(x) < std::numeric_limits::epsilon()) { if (y >= 0.) { return half_pi(); } else { return -half_pi(); } } unsigned octant = 0; if (x < 0.) { octant = 1; x = -x; } if (y < 0.) { octant |= 2; y = -y; } double t = y / x; if (t > 1.0) { octant |= 4; t = 1.0 / t; } double angle = atan_table[(unsigned)(t * 4095)] / SCALING_FACTOR; switch (octant) { case 0: break; case 1: angle = pi() - angle; break; case 2: angle = -angle; break; case 3: angle = -pi() + angle; break; case 4: angle = half_pi() - angle; break; case 5: angle = half_pi() + angle; break; case 6: angle = -half_pi() + angle; break; case 7: angle = -half_pi() - angle; break; } return angle; } } } #endif // TRIGONOMETRY_TABLE_HPP