lox-frames 0.1.0-alpha.16

Reference frame transformations for the Lox ecosystem
Documentation
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// SPDX-FileCopyrightText: 2023 Angus Morrison <github@angus-morrison.com>
// SPDX-FileCopyrightText: 2024 Helge Eichhorn <git@helgeeichhorn.de>
// SPDX-FileCopyrightText: 2025 Andrei Zisu <matzipan@gmail.com>
//
// SPDX-License-Identifier: MPL-2.0

use lox_core::types::units::Microarcseconds;

/// Indices into amplitude [COEFFICIENTS].
#[rustfmt::skip]
// @formatter:off (sometimes RustRover ignores the rustfmt skip)
pub(crate) const INDICES: [usize; 1309] = [
    1,     21,    37,    51,    65,    79,    91,    103,   115,   127,
    139,   151,   163,   172,   184,   196,   207,   219,   231,   240,
    252,   261,   273,   285,   297,   309,   318,   327,   339,   351,
    363,   372,   384,   396,   405,   415,   423,   435,   444,   452,
    460,   467,   474,   482,   490,   498,   506,   513,   521,   528,
    536,   543,   551,   559,   566,   574,   582,   590,   597,   605,
    613,   620,   628,   636,   644,   651,   658,   666,   674,   680,
    687,   695,   702,   710,   717,   725,   732,   739,   746,   753,
    760,   767,   774,   782,   790,   798,   805,   812,   819,   826,
    833,   840,   846,   853,   860,   867,   874,   881,   888,   895,
    901,   908,   914,   921,   928,   934,   941,   948,   955,   962,
    969,   976,   982,   989,   996,  1003,  1010,  1017,  1024,  1031,
    1037,  1043,  1050,  1057,  1064,  1071,  1078,  1084,  1091,  1098,
    1104,  1112,  1118,  1124,  1131,  1138,  1145,  1151,  1157,  1164,
    1171,  1178,  1185,  1192,  1199,  1205,  1212,  1218,  1226,  1232,
    1239,  1245,  1252,  1259,  1266,  1272,  1278,  1284,  1292,  1298,
    1304,  1310,  1316,  1323,  1329,  1335,  1341,  1347,  1353,  1359,
    1365,  1371,  1377,  1383,  1389,  1396,  1402,  1408,  1414,  1420,
    1426,  1434,  1440,  1446,  1452,  1459,  1465,  1471,  1477,  1482,
    1488,  1493,  1499,  1504,  1509,  1514,  1520,  1527,  1532,  1538,
    1543,  1548,  1553,  1558,  1564,  1569,  1574,  1579,  1584,  1589,
    1594,  1596,  1598,  1600,  1602,  1605,  1608,  1610,  1612,  1617,
    1619,  1623,  1625,  1627,  1629,  1632,  1634,  1640,  1642,  1644,
    1646,  1648,  1650,  1652,  1654,  1658,  1660,  1662,  1664,  1668,
    1670,  1672,  1673,  1675,  1679,  1681,  1683,  1684,  1686,  1688,
    1690,  1693,  1695,  1697,  1701,  1703,  1705,  1707,  1709,  1711,
    1712,  1715,  1717,  1721,  1723,  1725,  1727,  1729,  1731,  1733,
    1735,  1737,  1739,  1741,  1743,  1745,  1747,  1749,  1751,  1753,
    1755,  1757,  1759,  1761,  1762,  1764,  1766,  1768,  1769,  1771,
    1773,  1775,  1777,  1779,  1781,  1783,  1785,  1787,  1788,  1790,
    1792,  1794,  1796,  1798,  1800,  1802,  1804,  1806,  1807,  1809,
    1811,  1815,  1817,  1819,  1821,  1823,  1825,  1827,  1829,  1831,
    1833,  1835,  1837,  1839,  1840,  1842,  1844,  1848,  1850,  1852,
    1854,  1856,  1858,  1859,  1860,  1862,  1864,  1866,  1868,  1869,
    1871,  1873,  1875,  1877,  1879,  1881,  1883,  1885,  1887,  1889,
    1891,  1892,  1896,  1898,  1900,  1901,  1903,  1905,  1907,  1909,
    1910,  1911,  1913,  1915,  1919,  1921,  1923,  1927,  1929,  1931,
    1933,  1935,  1937,  1939,  1943,  1945,  1947,  1948,  1949,  1951,
    1953,  1955,  1957,  1958,  1960,  1962,  1964,  1966,  1968,  1970,
    1971,  1973,  1974,  1975,  1977,  1979,  1980,  1981,  1982,  1984,
    1986,  1988,  1990,  1992,  1994,  1995,  1997,  1999,  2001,  2003,
    2005,  2007,  2008,  2009,  2011,  2013,  2015,  2017,  2019,  2021,
    2023,  2024,  2025,  2027,  2029,  2031,  2033,  2035,  2037,  2041,
    2043,  2045,  2046,  2047,  2049,  2051,  2053,  2055,  2056,  2057,
    2059,  2061,  2063,  2065,  2067,  2069,  2070,  2071,  2072,  2074,
    2076,  2078,  2080,  2082,  2084,  2086,  2088,  2090,  2092,  2094,
    2095,  2096,  2097,  2099,  2101,  2105,  2106,  2107,  2108,  2109,
    2110,  2111,  2113,  2115,  2119,  2121,  2123,  2125,  2127,  2129,
    2131,  2133,  2135,  2136,  2137,  2139,  2141,  2143,  2145,  2147,
    2149,  2151,  2153,  2155,  2157,  2159,  2161,  2163,  2165,  2167,
    2169,  2171,  2173,  2175,  2177,  2179,  2181,  2183,  2185,  2186,
    2187,  2188,  2192,  2193,  2195,  2197,  2199,  2201,  2203,  2205,
    2207,  2209,  2211,  2213,  2217,  2219,  2221,  2223,  2225,  2227,
    2229,  2231,  2233,  2234,  2235,  2236,  2237,  2238,  2239,  2240,
    2241,  2244,  2246,  2248,  2250,  2252,  2254,  2256,  2258,  2260,
    2262,  2264,  2266,  2268,  2270,  2272,  2274,  2276,  2278,  2280,
    2282,  2284,  2286,  2288,  2290,  2292,  2294,  2296,  2298,  2300,
    2302,  2303,  2304,  2305,  2306,  2307,  2309,  2311,  2313,  2315,
    2317,  2319,  2321,  2323,  2325,  2327,  2329,  2331,  2333,  2335,
    2337,  2341,  2343,  2345,  2347,  2349,  2351,  2352,  2355,  2356,
    2357,  2358,  2359,  2361,  2363,  2364,  2365,  2366,  2367,  2368,
    2369,  2370,  2371,  2372,  2373,  2374,  2376,  2378,  2380,  2382,
    2384,  2385,  2386,  2387,  2388,  2389,  2390,  2391,  2392,  2393,
    2394,  2395,  2396,  2397,  2398,  2399,  2400,  2401,  2402,  2403,
    2404,  2405,  2406,  2407,  2408,  2409,  2410,  2411,  2412,  2413,
    2414,  2415,  2417,  2418,  2430,  2438,  2445,  2453,  2460,  2468,
    2474,  2480,  2488,  2496,  2504,  2512,  2520,  2527,  2535,  2543,
    2550,  2558,  2566,  2574,  2580,  2588,  2596,  2604,  2612,  2619,
    2627,  2634,  2642,  2648,  2656,  2664,  2671,  2679,  2685,  2693,
    2701,  2709,  2717,  2725,  2733,  2739,  2747,  2753,  2761,  2769,
    2777,  2785,  2793,  2801,  2809,  2817,  2825,  2833,  2841,  2848,
    2856,  2864,  2872,  2878,  2884,  2892,  2898,  2906,  2914,  2922,
    2930,  2938,  2944,  2952,  2958,  2966,  2974,  2982,  2988,  2996,
    3001,  3009,  3017,  3025,  3032,  3039,  3045,  3052,  3059,  3067,
    3069,  3076,  3083,  3090,  3098,  3105,  3109,  3111,  3113,  3120,
    3124,  3128,  3132,  3136,  3140,  3144,  3146,  3150,  3158,  3161,
    3165,  3166,  3168,  3172,  3176,  3180,  3182,  3185,  3189,  3193,
    3194,  3197,  3200,  3204,  3208,  3212,  3216,  3219,  3221,  3222,
    3226,  3230,  3234,  3238,  3242,  3243,  3247,  3251,  3254,  3258,
    3262,  3266,  3270,  3274,  3275,  3279,  3283,  3287,  3289,  3293,
    3296,  3300,  3303,  3307,  3311,  3315,  3319,  3321,  3324,  3327,
    3330,  3334,  3338,  3340,  3342,  3346,  3350,  3354,  3358,  3361,
    3365,  3369,  3373,  3377,  3381,  3385,  3389,  3393,  3394,  3398,
    3402,  3406,  3410,  3413,  3417,  3421,  3425,  3429,  3433,  3435,
    3439,  3443,  3446,  3450,  3453,  3457,  3458,  3461,  3464,  3468,
    3472,  3476,  3478,  3481,  3485,  3489,  3493,  3497,  3501,  3505,
    3507,  3511,  3514,  3517,  3521,  3524,  3525,  3527,  3529,  3533,
    3536,  3540,  3541,  3545,  3548,  3551,  3555,  3559,  3563,  3567,
    3569,  3570,  3574,  3576,  3578,  3582,  3586,  3590,  3593,  3596,
    3600,  3604,  3608,  3612,  3616,  3620,  3623,  3626,  3630,  3632,
    3636,  3640,  3643,  3646,  3648,  3652,  3656,  3660,  3664,  3667,
    3669,  3671,  3675,  3679,  3683,  3687,  3689,  3693,  3694,  3695,
    3699,  3703,  3705,  3707,  3710,  3713,  3717,  3721,  3725,  3729,
    3733,  3736,  3740,  3744,  3748,  3752,  3754,  3757,  3759,  3763,
    3767,  3770,  3773,  3777,  3779,  3783,  3786,  3790,  3794,  3798,
    3801,  3805,  3809,  3813,  3817,  3821,  3825,  3827,  3831,  3835,
    3836,  3837,  3840,  3844,  3848,  3852,  3856,  3859,  3863,  3867,
    3869,  3871,  3875,  3879,  3883,  3887,  3890,  3894,  3898,  3901,
    3905,  3909,  3913,  3917,  3921,  3922,  3923,  3924,  3926,  3930,
    3932,  3936,  3938,  3940,  3944,  3948,  3952,  3956,  3959,  3963,
    3965,  3969,  3973,  3977,  3979,  3981,  3982,  3986,  3989,  3993,
    3997,  4001,  4004,  4006,  4009,  4012,  4016,  4020,  4024,  4026,
    4028,  4032,  4036,  4040,  4044,  4046,  4050,  4054,  4058,  4060,
    4062,  4063,  4064,  4068,  4071,  4075,  4077,  4081,  4083,  4087,
    4089,  4091,  4095,  4099,  4101,  4103,  4105,  4107,  4111,  4115,
    4119,  4123,  4127,  4129,  4131,  4135,  4139,  4141,  4143,  4145,
    4149,  4153,  4157,  4161,  4165,  4169,  4173,  4177,  4180,  4183,
    4187,  4191,  4195,  4198,  4201,  4205,  4209,  4212,  4213,  4216,
    4217,  4221,  4223,  4226,  4230,  4234,  4236,  4240,  4244,  4248,
    4252,  4256,  4258,  4262,  4264,  4266,  4268,  4270,  4272,  4276,
    4279,  4283,  4285,  4287,  4289,  4293,  4295,  4299,  4300,  4301,
    4305,  4309,  4313,  4317,  4319,  4323,  4325,  4329,  4331,  4333,
    4335,  4337,  4341,  4345,  4349,  4351,  4353,  4357,  4361,  4365,
    4367,  4369,  4373,  4377,  4381,  4383,  4387,  4389,  4391,  4395,
    4399,  4403,  4407,  4411,  4413,  4414,  4415,  4418,  4419,  4421,
    4423,  4427,  4429,  4431,  4433,  4435,  4437,  4439,  4443,  4446,
    4450,  4452,  4456,  4458,  4460,  4462,  4466,  4469,  4473,  4477,
    4481,  4483,  4487,  4489,  4491,  4493,  4497,  4499,  4501,  4504,
    4506,  4510,  4513,  4514,  4515,  4518,  4521,  4522,  4525,  4526,
    4527,  4530,  4533,  4534,  4537,  4541,  4542,  4543,  4544,  4545,
    4546,  4547,  4550,  4553,  4554,  4555,  4558,  4561,  4564,  4567,
    4568,  4571,  4574,  4575,  4578,  4581,  4582,  4585,  4586,  4588,
    4590,  4592,  4596,  4598,  4602,  4604,  4608,  4612,  4613,  4616,
    4619,  4622,  4623,  4624,  4625,  4626,  4629,  4632,  4633,  4636,
    4639,  4640,  4641,  4642,  4643,  4644,  4645,  4648,  4649,  4650,
    4651,  4652,  4653,  4656,  4657,  4660,  4661,  4664,  4667,  4670,
    4671,  4674,  4675,  4676,  4677,  4678,  4681,  4682,  4683,  4684,
    4687,  4688,  4689,  4692,  4693,  4696,  4697,  4700,  4701,  4702,
    4703,  4704,  4707,  4708,  4711,  4712,  4715,  4716,  4717,  4718,
    4719,  4720,  4721,  4722,  4723,  4726,  4729,  4730,  4733,  4736,
    4737,  4740,  4741,  4742,  4745,  4746,  4749,  4752,  4753,
];

#[rustfmt::skip]
// @formatter:off (sometimes RustRover ignores the rustfmt skip)
#[allow(clippy::approx_constant)]
pub(crate) static COEFFICIENTS: [Microarcseconds; 4755] = [
    -6844318.44,     9205236.26,1328.67,1538.18,      205833.11,
    153041.79,       -3309.73, 853.32,2037.98,       -2301.27,
    81.46, 120.56, -20.39, -15.22,   1.73,  -1.61,  -0.10,   0.11,
    -0.02,  -0.02,     -523908.04,      573033.42,-544.75,-458.66,
    12814.01,       11714.49, 198.97,-290.91, 155.74,-143.27,
    -2.75,  -1.03,  -1.27,  -1.16,   0.00,  -0.01,      -90552.22,
    97846.69, 111.23, 137.41,2187.91,2024.68,  41.44, -51.26,
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    0.00,   0.00,  -0.12,   0.10,  -3.42,   0.00,   6.09,   0.00,
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    0.10,   0.09,   0.00,   0.00,  -4.53,   4.90,   0.00,   0.00,
    0.11,   0.10,  -4.49,  -4.90,   0.00,   0.00,  -0.11,   0.10,
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    0.20,   0.00,   0.00,   0.16,   0.20,   0.00,   0.00,  -0.16,
    -0.20,   0.16,  -0.20,  -0.16,  -0.20,   0.00,   0.00,  -0.16,
    -0.20,   0.00,   0.00,  -0.16,   0.20,   0.00,   0.00,   0.16,
    -0.20,   0.16,   0.20,   0.16,   0.20,   0.00,   0.00,  -0.16,
    -0.20,   0.00,   0.00,  -0.16,  -0.20,   0.00,   0.00,   0.16,
    0.20,   0.16,   0.20,   0.00,   0.00,   0.16,   0.20,   0.16,
    -0.20,   0.16,   0.20,   0.00,   0.00,  -0.16,   0.20,   0.00,
    0.10,   0.12,  -0.20,   0.12,  -0.20,   0.00,  -0.10,   0.00,
    -0.10,   0.12,   0.20,   0.00,  -0.10,  -0.12,   0.20,  -0.15,
    0.20,  -0.24,   0.24,   0.00,   0.00,   0.24,   0.24,   0.12,
    -0.20,  -0.12,  -0.20,   0.00,   0.00,   0.12,   0.20,   0.12,
    -0.20,   0.12,   0.20,   0.12,   0.20,   0.12,   0.20,   0.12,
    -0.20,  -0.12,   0.20,   0.00,   0.00,   0.12,   0.20,   0.12,
    0.00,  -0.20,   0.00,   0.00,  -0.12,  -0.20,   0.12,  -0.20,
    0.00,   0.00,   0.12,   0.20,  -0.12,   0.20,  -0.12,   0.20,
    0.12,  -0.20,   0.00,   0.00,   0.12,   0.20,   0.20,   0.00,
    0.12,   0.00,   0.00,  -0.12,   0.20,   0.00,   0.00,  -0.12,
    -0.20,   0.00,   0.00,  -0.12,  -0.20,  -0.12,  -0.20,   0.00,
    0.00,   0.12,  -0.20,   0.12,  -0.20,   0.12,   0.20,  -0.12,
    -0.20,   0.00,   0.00,   0.12,  -0.20,   0.12,  -0.20,   0.12,
    0.20,   0.12,   0.00,   0.20,  -0.12,  -0.20,   0.00,   0.00,
    0.12,   0.20,  -0.16,   0.00,   0.16,  -0.20,   0.20,   0.00,
    0.00,  -0.20,   0.00,   0.00,  -0.20,   0.20,   0.00,   0.00,
    0.20,   0.20,  -0.20,   0.00,   0.00,  -0.20,   0.12,   0.00,
    -0.16,   0.20,   0.00,   0.00,   0.20,   0.12,  -0.10,   0.00,
    0.10,   0.16,  -0.16,  -0.16,  -0.16,  -0.16,  -0.16,   0.00,
    0.00,  -0.16,   0.00,   0.00,  -0.16,  -0.16,  -0.16,   0.00,
    0.00,  -0.16,   0.00,   0.00,   0.16,   0.00,   0.00,   0.16,
    0.00,   0.00,   0.16,   0.16,   0.00,   0.00,  -0.16,   0.00,
    0.00,  -0.16,  -0.16,   0.00,   0.00,   0.16,   0.00,   0.00,
    -0.16,  -0.16,   0.00,   0.00,  -0.16,  -0.16,   0.12,   0.10,
    0.12,  -0.10,   0.12,   0.10,   0.00,   0.00,   0.12,   0.10,
    -0.12,   0.10,   0.00,   0.00,   0.12,   0.10,   0.12,  -0.10,
    0.00,   0.00,  -0.12,  -0.10,   0.00,   0.00,   0.12,   0.10,
    0.12,   0.00,   0.00,   0.12,   0.00,   0.00,  -0.12,   0.00,
    0.00,   0.12,   0.12,   0.12,   0.12,   0.12,   0.00,   0.00,
    0.12,   0.00,   0.00,   0.12,   0.12,   0.00,   0.00,   0.12,
    0.00,   0.00,   0.12,  -0.12,  -0.12,   0.12,   0.12,  -0.12,
    -0.12,   0.00,   0.00,   0.12,  -0.12,   0.12,   0.12,  -0.12,
    -0.12,   0.00,   0.00,  -0.12,  -0.12,   0.00,   0.00,  -0.12,
    0.12,   0.00,   0.00,   0.12,   0.00,   0.00,   0.12,   0.00,
    0.00,   0.12,  -0.12,   0.00,   0.00,  -0.12,   0.12,  -0.12,
    -0.12,   0.12,   0.00,   0.00,   0.12,   0.12,   0.12,  -0.12,
    0.00,   0.00,  -0.12,  -0.12,  -0.12,   0.00,   0.00,  -0.12,
    -0.12,   0.00,   0.00,   0.12,   0.12,   0.00,   0.00,  -0.12,
    -0.12,  -0.12,  -0.12,   0.12,   0.00,   0.00,   0.12,  -0.12,
    0.00,   0.00,  -0.12,  -0.12,   0.00,   0.00,   0.12,  -0.12,
    -0.12,  -0.12,  -0.12,   0.12,   0.12,  -0.12,  -0.12,   0.00,
    0.00,  -0.12,   0.00,   0.00,  -0.12,   0.12,   0.00,   0.00,
    0.12,   0.00,   0.00,  -0.12,  -0.12,   0.00,   0.00,  -0.12,
    -0.12,   0.12,   0.00,   0.00,   0.12,   0.12,   0.00,   0.00,
    0.12,   0.00,   0.00,   0.12,   0.12,   0.08,   0.00,   0.04
];

pub(crate) const USAGE_XY: [usize; 20] =
    [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1];

pub(crate) const USAGE_SIN_COS: [usize; 20] =
    [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0];

pub(crate) const USAGE_POWER_OF_T: [usize; 20] =
    [0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4];