#pragma once
// LTC1 is the inverse M
// LTC2 is for (GGX norm, fresnel, 0(unused), sphere for horizon-clipping)
const float LTC1[] = {
1, 0, 0, 2e-05,
1, 0, 0, 0.000503905,
1, 0, 0, 0.00201562,
1, 0, 0, 0.00453516,
1, 0, 0, 0.00806253,
1, 0, 0, 0.0125978,
1, 0, 0, 0.018141,
1, 0, 0, 0.0246924,
1, 0, 0, 0.0322525,
1, 0, 0, 0.0408213,
1, 0, 0, 0.0503999,
1, 0, 0, 0.0609894,
1, 0, 0, 0.0725906,
1, 0, 0, 0.0852058,
1, 0, 0, 0.0988363,
1, 0, 0, 0.113484,
1, 0, 0, 0.129153,
1, 0, 0, 0.145839,
1, 0, 0, 0.163548,
1, 0, 0, 0.182266,
1, 0, 0, 0.201942,
1, 0, 0, 0.222314,
1, 0, 0, 0.241906,
1, 0, 0, 0.262314,
1, 0, 0, 0.285754,
1, 0, 0, 0.310159,
1, 0, 0, 0.335426,
1, 0, 0, 0.361341,
1, 0, 0, 0.387445,
1, 0, 0, 0.412784,
1, 0, 0, 0.438197,
1, 0, 0, 0.466966,
1, 0, 0, 0.49559,
1, 0, 0, 0.523448,
1, 0, 0, 0.549938,
1, 0, 0, 0.57979,
1, 0, 0, 0.608746,
1, 0, 0, 0.636185,
1, 0, 0, 0.664748,
1, 0, 0, 0.69313,
1, 0, 0, 0.71966,
1, 0, 0, 0.747662,
1, 0, 0, 0.774023,
1, 0, 0, 0.799775,
1, 0, 0, 0.825274,
1, 0, 0, 0.849156,
1, 0, 0, 0.873248,
1, 0, 0, 0.89532,
1, 0, 0, 0.917565,
1, 0, 0, 0.937863,
1, 0, 0, 0.958139,
1, 0, 0, 0.976563,
1, 0, 0, 0.994658,
1, 0, 0, 1.0112,
1, 0, 0, 1.02712,
1, 0, 0, 1.04189,
1, 0, 0, 1.05568,
1, 0, 0, 1.06877,
1, 0, 0, 1.08058,
1, 0, 0, 1.09194,
1, 0, 0, 1.10191,
1, 0, 0, 1.11161,
1, 0, 0, 1.1199,
1, 0, 0, 1.12813,
0.999547, -4.48815e-07, 0.0224417, 1.99902e-05,
0.999495, -1.13079e-05, 0.0224406, 0.000503651,
0.999496, -4.52317e-05, 0.0224406, 0.00201461,
0.999496, -0.000101772, 0.0224406, 0.00453287,
0.999495, -0.000180928, 0.0224406, 0.00805845,
0.999497, -0.000282702, 0.0224406, 0.0125914,
0.999496, -0.000407096, 0.0224406, 0.0181319,
0.999498, -0.000554114, 0.0224406, 0.02468,
0.999499, -0.000723768, 0.0224406, 0.0322363,
0.999495, -0.000916058, 0.0224405, 0.0408009,
0.999499, -0.00113101, 0.0224408, 0.050375,
0.999494, -0.00136863, 0.0224405, 0.0609586,
0.999489, -0.00162896, 0.0224401, 0.0725537,
0.999489, -0.00191201, 0.0224414, 0.0851619,
0.999498, -0.00221787, 0.0224413, 0.0987867,
0.999492, -0.00254642, 0.0224409, 0.113426,
0.999507, -0.00289779, 0.0224417, 0.129088,
0.999494, -0.0032716, 0.0224386, 0.145767,
0.999546, -0.0036673, 0.0224424, 0.163472,
0.999543, -0.00408166, 0.0224387, 0.182182,
0.999499, -0.00450056, 0.0224338, 0.201843,
0.999503, -0.00483661, 0.0224203, 0.222198,
0.999546, -0.00452928, 0.022315, 0.241714,
0.999508, -0.00587403, 0.0224329, 0.262184,
0.999509, -0.00638806, 0.0224271, 0.285609,
0.999501, -0.00691028, 0.0224166, 0.309998,
0.999539, -0.00741979, 0.0223989, 0.335262,
0.999454, -0.00786282, 0.0223675, 0.361154,
0.999529, -0.00811928, 0.0222828, 0.387224,
0.999503, -0.00799941, 0.0221063, 0.41252,
0.999561, -0.00952753, 0.0223057, 0.438006,
0.999557, -0.0099134, 0.0222065, 0.466735,
0.999541, -0.0100935, 0.0220402, 0.495332,
0.999562, -0.00996821, 0.0218067, 0.523197,
0.999556, -0.0105031, 0.0217096, 0.550223,
0.999561, -0.0114191, 0.0217215, 0.579498,
0.999588, -0.0111818, 0.0213357, 0.608416,
0.999633, -0.0107725, 0.0208689, 0.635965,
0.999527, -0.0121671, 0.0210149, 0.664476,
0.999508, -0.0116005, 0.020431, 0.692786,
0.999568, -0.0115604, 0.0199791, 0.719709,
0.999671, -0.0121117, 0.0197415, 0.74737,
0.999688, -0.0110769, 0.0188846, 0.773692,
0.99962, -0.0122368, 0.0188452, 0.799534,
0.999823, -0.0110325, 0.0178001, 0.825046,
0.999599, -0.0114923, 0.0174221, 0.849075,
0.999619, -0.0105923, 0.0164345, 0.872999,
0.999613, -0.0105988, 0.0158227, 0.895371,
0.99964, -0.00979861, 0.0148131, 0.917364,
0.99977, -0.00967238, 0.0140721, 0.938002,
0.999726, -0.00869175, 0.0129543, 0.957917,
0.99973, -0.00866872, 0.0122329, 0.976557,
0.999773, -0.00731956, 0.0108958, 0.994459,
0.999811, -0.00756027, 0.0102715, 1.01118,
0.999862, -0.00583732, 0.00878781, 1.02701,
0.999835, -0.00631438, 0.00827529, 1.04186,
0.999871, -0.00450785, 0.00674583, 1.05569,
0.999867, -0.00486079, 0.00621041, 1.06861,
0.999939, -0.00322072, 0.00478301, 1.08064,
0.999918, -0.00318199, 0.00406395, 1.09181,
1.00003, -0.00193348, 0.00280682, 1.10207,
0.999928, -0.00153729, 0.00198741, 1.11152,
0.999933, -0.000623666, 0.000917714, 1.12009,
1, -1.02387e-06, 9.07581e-07, 1.12813,
0.997866, -8.96716e-07, 0.0448334, 1.99584e-05,
0.997987, -2.25945e-05, 0.0448389, 0.000502891,
0.997987, -9.03781e-05, 0.0448388, 0.00201156,
0.997985, -0.000203351, 0.0448388, 0.00452602,
0.997986, -0.000361514, 0.0448388, 0.00804629,
0.997987, -0.00056487, 0.0448389, 0.0125724,
0.997988, -0.000813423, 0.0448389, 0.0181045,
0.997984, -0.00110718, 0.0448387, 0.0246427,
0.997985, -0.00144616, 0.0448388, 0.0321875,
0.997987, -0.00183038, 0.044839, 0.0407392,
0.997983, -0.00225987, 0.0448387, 0.0502986,
0.997991, -0.00273467, 0.0448389, 0.0608667,
0.997984, -0.00325481, 0.0448384, 0.0724444,
0.998002, -0.00382043, 0.044839, 0.0850348,
0.997997, -0.00443145, 0.0448396, 0.0986372,
0.998007, -0.00508796, 0.0448397, 0.113255,
0.998008, -0.00578985, 0.04484, 0.128891,
0.998003, -0.00653683, 0.0448384, 0.145548,
0.997983, -0.00732713, 0.0448358, 0.163221,
0.997985, -0.00815454, 0.0448358, 0.181899,
0.998005, -0.00898985, 0.0448286, 0.201533,
0.998026, -0.00964404, 0.0447934, 0.221821,
0.998055, -0.00922677, 0.044611, 0.241282,
0.99804, -0.0117361, 0.0448245, 0.261791,
0.998048, -0.0127628, 0.0448159, 0.285181,
0.998088, -0.0138055, 0.0447996, 0.30954,
0.998058, -0.0148206, 0.0447669, 0.334751,
0.998099, -0.0156998, 0.044697, 0.36061,
0.998116, -0.0161976, 0.0445122, 0.386603,
0.998195, -0.015945, 0.0441711, 0.411844,
0.998168, -0.0183947, 0.0444255, 0.43773,
0.998184, -0.0197913, 0.0443809, 0.466009,
0.998251, -0.0201426, 0.0440689, 0.494574,
0.998305, -0.0198847, 0.0435632, 0.522405,
0.998273, -0.0210577, 0.043414, 0.549967,
0.998254, -0.0227901, 0.0433943, 0.578655,
0.998349, -0.0223108, 0.0426529, 0.60758,
0.99843, -0.0223088, 0.042, 0.635524,
0.998373, -0.0241141, 0.0418987, 0.663621,
0.998425, -0.0231446, 0.0408118, 0.691906,
0.998504, -0.0233684, 0.0400565, 0.719339,
0.998443, -0.0241652, 0.0394634, 0.74643,
0.99848, -0.0228715, 0.0380002, 0.773086,
0.998569, -0.023519, 0.0372322, 0.798988,
0.998619, -0.0223108, 0.0356468, 0.824249,
0.998594, -0.0223105, 0.034523, 0.848808,
0.998622, -0.0213426, 0.0328887, 0.87227,
0.998669, -0.0207912, 0.0314374, 0.895157,
0.998705, -0.0198416, 0.0296925, 0.916769,
0.998786, -0.0189168, 0.0279634, 0.937773,
0.998888, -0.0178811, 0.0261597, 0.957431,
0.99906, -0.0166845, 0.0242159, 0.976495,
0.999038, -0.0155464, 0.0222638, 0.994169,
0.999237, -0.0141349, 0.0201967, 1.01112,
0.999378, -0.0129324, 0.0181744, 1.02692,
0.999433, -0.0113192, 0.0159898, 1.04174,
0.999439, -0.0101244, 0.0140385, 1.05559,
0.999614, -0.00837456, 0.0117826, 1.06852,
0.999722, -0.00721769, 0.00983745, 1.08069,
0.999817, -0.00554067, 0.00769002, 1.09176,
0.99983, -0.00426961, 0.005782, 1.10211,
0.999964, -0.00273904, 0.00374503, 1.11152,
1.00001, -0.00136739, 0.00187176, 1.12031,
0.999946, 3.93227e-05, -2.8919e-05, 1.12804,
0.995847, -1.3435e-06, 0.0671785, 1.9916e-05,
0.995464, -3.38387e-05, 0.0671527, 0.000501622,
0.99547, -0.000135355, 0.0671531, 0.00200649,
0.995471, -0.00030455, 0.0671532, 0.00451461,
0.99547, -0.000541423, 0.0671531, 0.008026,
0.995471, -0.00084598, 0.0671531, 0.0125407,
0.99547, -0.00121823, 0.0671531, 0.0180589,
0.99547, -0.00165817, 0.0671531, 0.0245806,
0.995463, -0.00216583, 0.0671526, 0.0321062,
0.995468, -0.00274127, 0.0671527, 0.0406366,
0.995474, -0.00338447, 0.0671534, 0.0501717,
0.995473, -0.00409554, 0.0671533, 0.0607131,
0.995478, -0.00487451, 0.0671531, 0.0722618,
0.995476, -0.00572148, 0.0671532, 0.0848191,
0.995477, -0.00663658, 0.0671539, 0.0983882,
0.995498, -0.00761986, 0.0671541, 0.112972,
0.995509, -0.00867094, 0.0671542, 0.128568,
0.995509, -0.00978951, 0.0671531, 0.145183,
0.995503, -0.0109725, 0.0671491, 0.162808,
0.995501, -0.012211, 0.0671465, 0.181441,
0.99553, -0.0134565, 0.0671371, 0.201015,
0.99555, -0.014391, 0.0670831, 0.221206,
0.99558, -0.014351, 0.0668883, 0.240813,
0.995577, -0.0173997, 0.0671055, 0.261257,
0.995602, -0.0191111, 0.0671178, 0.284467,
0.995623, -0.0206705, 0.0670946, 0.308765,
0.995658, -0.022184, 0.0670472, 0.333905,
0.995705, -0.0234832, 0.0669417, 0.359677,
0.995719, -0.0241933, 0.0666714, 0.385554,
0.995786, -0.0243539, 0.066266, 0.410951,
0.995887, -0.0271866, 0.0664367, 0.437163,
0.995944, -0.0296012, 0.0664931, 0.464842,
0.996004, -0.0301045, 0.0660105, 0.49332,
0.996128, -0.0298311, 0.0652694, 0.521131,
0.996253, -0.0316426, 0.0650739, 0.549167,
0.996244, -0.0339043, 0.0649433, 0.57737,
0.996309, -0.033329, 0.0638926, 0.606073,
0.996417, -0.0338935, 0.0630849, 0.634527,
0.996372, -0.0353104, 0.0625083, 0.66256,
0.996542, -0.0348942, 0.0611986, 0.690516,
0.996568, -0.0351614, 0.060069, 0.718317,
0.996711, -0.0354317, 0.0588522, 0.74528,
0.996671, -0.0349513, 0.0571902, 0.772061,
0.996865, -0.0345622, 0.0555321, 0.798089,
0.996802, -0.0342566, 0.0537816, 0.823178,
0.996992, -0.0330862, 0.0516095, 0.847949,
0.996944, -0.0324666, 0.0495537, 0.871431,
0.997146, -0.0309544, 0.0470302, 0.894357,
0.997189, -0.0299372, 0.0446043, 0.916142,
0.997471, -0.0281389, 0.0418812, 0.937193,
0.997515, -0.0268702, 0.0391823, 0.957,
0.997812, -0.0247166, 0.0361338, 0.975936,
0.998027, -0.0233525, 0.0333945, 0.99391,
0.998233, -0.0209839, 0.0301917, 1.01075,
0.998481, -0.0194309, 0.027271, 1.02669,
0.998859, -0.0169728, 0.0240162, 1.04173,
0.99894, -0.0152322, 0.0210517, 1.05551,
0.999132, -0.0127497, 0.0178632, 1.06856,
0.999369, -0.0108282, 0.014787, 1.08054,
0.999549, -0.00845886, 0.0116185, 1.09185,
0.999805, -0.0063937, 0.00867209, 1.10207,
0.99985, -0.00414582, 0.00566823, 1.1117,
0.999912, -0.00207443, 0.00277562, 1.12022,
1.00001, 8.70226e-05, -5.3766e-05, 1.12832,
0.991943, -1.78672e-06, 0.0893382, 1.98384e-05,
0.991952, -4.50183e-05, 0.089339, 0.000499849,
0.991956, -0.000180074, 0.0893394, 0.0019994,
0.991955, -0.000405167, 0.0893393, 0.00449867,
0.991953, -0.000720298, 0.0893391, 0.00799764,
0.991955, -0.00112548, 0.0893393, 0.0124964,
0.991957, -0.0016207, 0.0893395, 0.0179951,
0.991958, -0.00220601, 0.0893396, 0.0244939,
0.991947, -0.00288137, 0.0893385, 0.0319929,
0.991962, -0.00364693, 0.0893399, 0.0404933,
0.991965, -0.00450264, 0.0893399, 0.049995,
0.99198, -0.00544862, 0.0893411, 0.0604995,
0.99197, -0.00648491, 0.0893397, 0.0720074,
0.991976, -0.00761164, 0.089341, 0.0845207,
0.99198, -0.00882891, 0.0893405, 0.0980413,
0.991982, -0.0101367, 0.0893396, 0.112571,
0.992008, -0.011535, 0.0893415, 0.128115,
0.992026, -0.0130228, 0.0893414, 0.144672,
0.992064, -0.0145966, 0.0893418, 0.162241,
0.992041, -0.0162421, 0.0893359, 0.180801,
0.992086, -0.0178888, 0.0893214, 0.200302,
0.992157, -0.0190368, 0.0892401, 0.220332,
0.992181, -0.0195584, 0.0890525, 0.240144,
0.992175, -0.0227257, 0.0892153, 0.260728,
0.99221, -0.0254195, 0.089304, 0.283473,
0.99222, -0.0274883, 0.0892703, 0.307673,
0.992317, -0.0294905, 0.0892027, 0.332729,
0.992374, -0.0311861, 0.0890577, 0.358387,
0.992505, -0.0320656, 0.0886994, 0.384102,
0.992568, -0.0329715, 0.0883198, 0.409767,
0.992675, -0.036006, 0.0883602, 0.436145,
0.992746, -0.0392897, 0.0884591, 0.463217,
0.992873, -0.0399337, 0.0878287, 0.491557,
0.992934, -0.040231, 0.0870108, 0.519516,
0.993091, -0.0422013, 0.0865857, 0.547741,
0.993259, -0.0443503, 0.0861937, 0.575792,
0.993455, -0.0446368, 0.0851187, 0.604233,
0.993497, -0.0454299, 0.0840576, 0.632925,
0.993694, -0.0463296, 0.0829671, 0.660985,
0.993718, -0.0470619, 0.0817185, 0.688714,
0.993973, -0.0468838, 0.0800294, 0.716743,
0.994207, -0.046705, 0.0781286, 0.74377,
0.994168, -0.0469698, 0.0763337, 0.77042,
0.9945, -0.0456816, 0.0738184, 0.796659,
0.994356, -0.0455518, 0.0715545, 0.821868,
0.994747, -0.0439488, 0.0686085, 0.846572,
0.994937, -0.0430056, 0.065869, 0.870435,
0.995142, -0.0413414, 0.0626446, 0.893272,
0.995451, -0.0396521, 0.05929, 0.915376,
0.995445, -0.0378453, 0.0558503, 0.936196,
0.995967, -0.0355219, 0.0520949, 0.956376,
0.996094, -0.0335146, 0.048377, 0.975327,
0.996622, -0.030682, 0.0442575, 0.993471,
0.996938, -0.0285504, 0.0404693, 1.01052,
0.997383, -0.0253399, 0.0360903, 1.02637,
0.997714, -0.0231651, 0.0322176, 1.04139,
0.998249, -0.0198138, 0.0278433, 1.05542,
0.998596, -0.0174337, 0.0238759, 1.06846,
0.998946, -0.0141349, 0.0195944, 1.08056,
0.99928, -0.0115603, 0.0156279, 1.09181,
0.999507, -0.00839065, 0.0114607, 1.10213,
0.999697, -0.005666, 0.00763325, 1.11169,
0.999869, -0.00269902, 0.00364946, 1.12042,
1.00001, 6.23836e-05, -3.19288e-05, 1.12832,
0.987221, -2.22675e-06, 0.111332, 1.97456e-05,
0.98739, -5.61116e-05, 0.111351, 0.000497563,
0.987448, -0.000224453, 0.111357, 0.00199031,
0.987441, -0.000505019, 0.111357, 0.0044782,
0.987442, -0.000897816, 0.111357, 0.00796129,
0.987442, -0.00140284, 0.111357, 0.0124396,
0.987444, -0.00202012, 0.111357, 0.0179132,
0.987442, -0.00274964, 0.111357, 0.0243824,
0.987446, -0.00359147, 0.111357, 0.0318474,
0.987435, -0.00454562, 0.111356, 0.0403086,
0.987461, -0.00561225, 0.111358, 0.0497678,
0.987458, -0.00679125, 0.111358, 0.0602239,
0.987443, -0.0080828, 0.111356, 0.0716792,
0.987476, -0.0094872, 0.111358, 0.0841364,
0.98749, -0.0110044, 0.111361, 0.097597,
0.987508, -0.0126344, 0.111362, 0.112062,
0.987494, -0.0143767, 0.111357, 0.127533,
0.987526, -0.0162307, 0.111359, 0.144015,
0.987558, -0.0181912, 0.111361, 0.161502,
0.987602, -0.0202393, 0.111355, 0.179979,
0.987692, -0.022273, 0.111346, 0.199386,
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0.99975, -0.00340478, 0.00464051, 1.12056,
1.00001, 0.000109172, -0.000112821, 1.12853,
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0.983514, -0.0535899, 0.131737, 0.432735,
0.98373, -0.0571858, 0.131567, 0.459359,
0.984056, -0.0592353, 0.130932, 0.486637,
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0.994705, -0.0384977, 0.0542501, 1.02559,
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0.977602, -0.0622715, 0.15312, 0.430333,
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0.978602, -0.0712805, 0.15132, 0.512097,
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0.999998, 8.91673e-05, -0.00010379, 1.12906,
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1.00003, 0.000162239, -0.000105549, 1.12946,
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0.668907, -0.253283, 0.428719, 0.721943,
0.705619, -0.247562, 0.411348, 0.772477,
0.739034, -0.240626, 0.388939, 0.8264,
0.771408, -0.231493, 0.36425, 0.881702,
0.803312, -0.220125, 0.337321, 0.9385,
0.828457, -0.206645, 0.305364, 0.997437,
0.854819, -0.190664, 0.273715, 1.05693,
0.878666, -0.171429, 0.242218, 1.11251,
0.898404, -0.149235, 0.209556, 1.16398,
0.917416, -0.12435, 0.176863, 1.21014,
0.933133, -0.0972703, 0.142775, 1.25178,
0.95066, -0.0683607, 0.106735, 1.29028,
0.968589, -0.0378724, 0.0681609, 1.32703,
0.984776, -0.00605712, 0.0273966, 1.36158,
0.99994, 0.0263276, -0.0138124, 1.3943,
0.00867437, -1.86005e-06, 0.0928979, 1.73682e-07,
0.00864003, -4.66389e-05, 0.0925237, 4.35505e-06,
0.00864593, -0.000186594, 0.0925806, 1.74322e-05,
0.00864095, -0.000419639, 0.0924903, 3.92862e-05,
0.00863851, -0.000746272, 0.0924589, 7.02598e-05,
0.00868531, -0.00116456, 0.0929, 0.000111188,
0.00869667, -0.00167711, 0.0928529, 0.000163867,
0.00874332, -0.00228051, 0.0930914, 0.00023104,
0.00882709, -0.00297864, 0.0935679, 0.00031741,
0.00898874, -0.00377557, 0.0946165, 0.000430186,
0.00929346, -0.00469247, 0.0967406, 0.000580383,
0.00978271, -0.00575491, 0.100084, 0.000783529,
0.0105746, -0.00701514, 0.105447, 0.00106304,
0.0116949, -0.00851797, 0.112494, 0.00144685,
0.0130419, -0.0102757, 0.119876, 0.00196439,
0.0148375, -0.012381, 0.129034, 0.00266433,
0.0168725, -0.01482, 0.137812, 0.00358364,
0.0193689, -0.0176563, 0.147696, 0.00478132,
0.0222691, -0.0209211, 0.157795, 0.00631721,
0.0256891, -0.0246655, 0.168431, 0.00826346,
0.0294686, -0.0288597, 0.178587, 0.0106714,
0.0340412, -0.0336441, 0.190251, 0.0136629,
0.0393918, -0.039033, 0.202999, 0.0173272,
0.0453947, -0.0450087, 0.215655, 0.0217448,
0.0521936, -0.0515461, 0.228686, 0.0269941,
0.0600279, -0.058817, 0.242838, 0.033272,
0.0692398, -0.0667228, 0.258145, 0.0406457,
0.0793832, -0.0752401, 0.273565, 0.0492239,
0.0902297, -0.0841851, 0.287735, 0.0590105,
0.102014, -0.0936479, 0.301161, 0.0702021,
0.116054, -0.103967, 0.317438, 0.0832001,
0.13191, -0.114622, 0.334166, 0.0977951,
0.148239, -0.125452, 0.348192, 0.113985,
0.165809, -0.136453, 0.361094, 0.131928,
0.184616, -0.147648, 0.373534, 0.151811,
0.207491, -0.159607, 0.39101, 0.174476,
0.230106, -0.171119, 0.402504, 0.198798,
0.257036, -0.182906, 0.418032, 0.225796,
0.281172, -0.193605, 0.425468, 0.254027,
0.312034, -0.204771, 0.440379, 0.285713,
0.340402, -0.214988, 0.445406, 0.319196,
0.370231, -0.224711, 0.44968, 0.35537,
0.407105, -0.233516, 0.460747, 0.393838,
0.439037, -0.240801, 0.460624, 0.433747,
0.47781, -0.24762, 0.465957, 0.477234,
0.510655, -0.251823, 0.460054, 0.52044,
0.550584, -0.255552, 0.459172, 0.567853,
0.585872, -0.257036, 0.450311, 0.615943,
0.620466, -0.257535, 0.437763, 0.667693,
0.660496, -0.255248, 0.426639, 0.718988,
0.695578, -0.251141, 0.409185, 0.772503,
0.732176, -0.244718, 0.39015, 0.827023,
0.760782, -0.236782, 0.362594, 0.885651,
0.79422, -0.225923, 0.33711, 0.943756,
0.824521, -0.213855, 0.308272, 1.00874,
0.854964, -0.197723, 0.278529, 1.06764,
0.878065, -0.179209, 0.246208, 1.12836,
0.899834, -0.157569, 0.21329, 1.18318,
0.918815, -0.133206, 0.181038, 1.23161,
0.934934, -0.106545, 0.146993, 1.27644,
0.952115, -0.0780574, 0.111175, 1.31842,
0.96906, -0.0478279, 0.0728553, 1.35839,
0.985178, -0.0160014, 0.032579, 1.39697,
1.00039, 0.0173126, -0.0095256, 1.43312,
0.00384146, -1.24311e-06, 0.0613583, 7.78271e-08,
0.00390023, -3.14043e-05, 0.0622919, 1.96626e-06,
0.00389971, -0.000125622, 0.0622632, 7.87379e-06,
0.00389491, -0.000282352, 0.0620659, 1.778e-05,
0.00391618, -0.000502512, 0.0624687, 3.20918e-05,
0.00392662, -0.000784458, 0.0625113, 5.15573e-05,
0.00396053, -0.00112907, 0.0628175, 7.78668e-05,
0.00401911, -0.00153821, 0.0633286, 0.000113811,
0.00414994, -0.0020208, 0.0646443, 0.00016445,
0.00441223, -0.00260007, 0.0673886, 0.000237734,
0.00484427, -0.0033097, 0.0716528, 0.000345929,
0.00549109, -0.00418966, 0.0774998, 0.000505987,
0.00636293, -0.00527331, 0.0844758, 0.000739208,
0.00746566, -0.00660428, 0.0921325, 0.00107347,
0.00876625, -0.00818826, 0.0997067, 0.00153691,
0.0103125, -0.0100811, 0.107433, 0.00217153,
0.0123309, -0.0123643, 0.117088, 0.00303427,
0.0146274, -0.0150007, 0.126438, 0.00416018,
0.0172295, -0.0180531, 0.135672, 0.00561513,
0.0204248, -0.0215962, 0.146244, 0.007478,
0.0241597, -0.0256234, 0.157481, 0.00981046,
0.0284693, -0.0302209, 0.169125, 0.0127148,
0.033445, -0.0353333, 0.181659, 0.0162453,
0.0391251, -0.0410845, 0.1944, 0.0205417,
0.0454721, -0.0473451, 0.207082, 0.0256333,
0.0530983, -0.0542858, 0.221656, 0.0317036,
0.0615356, -0.0618384, 0.236036, 0.0388319,
0.0703363, -0.0697631, 0.248398, 0.046974,
0.0810391, -0.0784757, 0.263611, 0.0565246,
0.0920144, -0.0873488, 0.275857, 0.0671724,
0.105584, -0.0973652, 0.292555, 0.0798105,
0.119506, -0.107271, 0.306333, 0.0935945,
0.134434, -0.117608, 0.318888, 0.109106,
0.153399, -0.128938, 0.337552, 0.127074,
0.171258, -0.139944, 0.349955, 0.14643,
0.191059, -0.151288, 0.361545, 0.168,
0.215069, -0.163018, 0.378421, 0.192082,
0.237838, -0.174226, 0.38879, 0.217838,
0.266965, -0.186063, 0.405857, 0.246931,
0.292827, -0.196909, 0.414146, 0.277505,
0.324352, -0.207473, 0.426955, 0.310711,
0.354427, -0.217713, 0.433429, 0.346794,
0.389854, -0.227183, 0.443966, 0.385237,
0.420749, -0.235131, 0.44471, 0.424955,
0.459597, -0.242786, 0.451729, 0.468446,
0.495316, -0.248767, 0.45072, 0.513422,
0.534903, -0.253351, 0.450924, 0.560618,
0.572369, -0.256277, 0.445266, 0.609677,
0.612383, -0.2576, 0.438798, 0.660995,
0.644037, -0.256931, 0.421693, 0.713807,
0.686749, -0.254036, 0.4109, 0.767616,
0.719814, -0.249785, 0.390151, 0.82533,
0.754719, -0.244283, 0.367847, 0.888311,
0.792022, -0.235076, 0.345013, 0.948177,
0.822404, -0.225061, 0.316193, 1.01661,
0.853084, -0.211113, 0.287013, 1.08075,
0.879871, -0.19449, 0.255424, 1.14501,
0.901655, -0.174023, 0.222879, 1.20203,
0.919957, -0.1509, 0.18989, 1.25698,
0.938412, -0.124923, 0.15606, 1.30588,
0.953471, -0.0968139, 0.120512, 1.3529,
0.970451, -0.066734, 0.0828515, 1.3986,
0.985522, -0.034734, 0.0424458, 1.44148,
1.00099, -0.00102222, 0.000678929, 1.48398,
0.000965494, -6.27338e-07, 0.0306409, 1.97672e-08,
0.00099168, -1.58573e-05, 0.0314638, 4.99803e-07,
0.000991068, -6.34012e-05, 0.031363, 2.00682e-06,
0.000974567, -0.00014144, 0.03036, 4.57312e-06,
0.000998079, -0.000252812, 0.031496, 8.60131e-06,
0.00102243, -0.000396506, 0.0319955, 1.48288e-05,
0.00107877, -0.000577593, 0.0331376, 2.49141e-05,
0.00121622, -0.000816816, 0.0359396, 4.23011e-05,
0.0014455, -0.00113761, 0.0399652, 7.24613e-05,
0.00178791, -0.00156959, 0.0450556, 0.000123929,
0.00225668, -0.00214064, 0.0508025, 0.000208531,
0.00285627, -0.00287655, 0.0568443, 0.000341969,
0.0035991, -0.00380271, 0.0630892, 0.000544158,
0.00455524, -0.00496264, 0.0702204, 0.000842423,
0.00569143, -0.0063793, 0.0773426, 0.00126704,
0.00716928, -0.00813531, 0.0860839, 0.00186642,
0.00885307, -0.0101946, 0.0944079, 0.00267014,
0.0109316, -0.0126386, 0.103951, 0.00374033,
0.0133704, -0.0154876, 0.113786, 0.0051304,
0.0161525, -0.0187317, 0.123477, 0.00688858,
0.0194267, -0.0224652, 0.133986, 0.00910557,
0.0230967, -0.0265976, 0.143979, 0.0118074,
0.0273627, -0.0312848, 0.154645, 0.0151266,
0.0323898, -0.0365949, 0.166765, 0.0191791,
0.0379225, -0.0422914, 0.177932, 0.0239236,
0.0447501, -0.0487469, 0.19167, 0.0296568,
0.0519391, -0.0556398, 0.203224, 0.0362924,
0.0599464, -0.0631646, 0.215652, 0.0440585,
0.0702427, -0.0714308, 0.232089, 0.0531619,
0.0806902, -0.0800605, 0.245258, 0.0634564,
0.0923194, -0.0892815, 0.258609, 0.0752481,
0.106938, -0.09931, 0.276654, 0.0888914,
0.121238, -0.109575, 0.289847, 0.104055,
0.138817, -0.120461, 0.307566, 0.121266,
0.15595, -0.131209, 0.320117, 0.139944,
0.178418, -0.143049, 0.339677, 0.161591,
0.197875, -0.154074, 0.349886, 0.184303,
0.224368, -0.166307, 0.369352, 0.210669,
0.252213, -0.178051, 0.386242, 0.238895,
0.277321, -0.189335, 0.395294, 0.269182,
0.310332, -0.200683, 0.412148, 0.302508,
0.338809, -0.210856, 0.418266, 0.337264,
0.372678, -0.220655, 0.428723, 0.374881,
0.405632, -0.230053, 0.433887, 0.415656,
0.442293, -0.237993, 0.439911, 0.457982,
0.477256, -0.244897, 0.440175, 0.502831,
0.515592, -0.250657, 0.441079, 0.550277,
0.550969, -0.255459, 0.435219, 0.601102,
0.592883, -0.257696, 0.432882, 0.651785,
0.629092, -0.259894, 0.421054, 0.708961,
0.672033, -0.258592, 0.41177, 0.763806,
0.709147, -0.256525, 0.395267, 0.824249,
0.745367, -0.254677, 0.375013, 0.8951,
0.784715, -0.247892, 0.353906, 0.959317,
0.818107, -0.240162, 0.327801, 1.03153,
0.847895, -0.229741, 0.298821, 1.10601,
0.879603, -0.213084, 0.269115, 1.164,
0.902605, -0.195242, 0.236606, 1.22854,
0.922788, -0.174505, 0.203442, 1.29017,
0.944831, -0.150169, 0.169594, 1.34157,
0.959656, -0.124099, 0.135909, 1.3956,
0.972399, -0.0960626, 0.0990563, 1.45128,
0.986549, -0.0657097, 0.0602348, 1.50312,
1.00013, -0.0333558, 0.0186694, 1.55364,
6.19747e-06, -1e-07, 0.00778326, 7.96756e-11,
2.37499e-08, -9.99999e-08, 2.82592e-05, 1.14596e-10,
1.00292e-06, -1.66369e-06, 0.000250354, 6.77492e-09,
3.50752e-06, -6.37769e-06, 0.000357289, 6.31655e-08,
8.26445e-06, -1.74689e-05, 0.000516179, 3.1851e-07,
2.42481e-05, -4.50868e-05, 0.0010223, 1.30577e-06,
4.55631e-05, -8.9044e-05, 0.00144302, 3.74587e-06,
9.71222e-05, -0.000178311, 0.00241912, 1.02584e-05,
0.000171403, -0.000313976, 0.00354938, 2.36481e-05,
0.000292747, -0.000520026, 0.00513765, 4.96014e-05,
0.000789827, -0.00118187, 0.0238621, 0.000139056,
0.00114093, -0.00171827, 0.0286691, 0.000244093,
0.00176119, -0.00249667, 0.0368565, 0.000420623,
0.0022233, -0.00333742, 0.0400469, 0.00065673,
0.00343382, -0.00481976, 0.0535751, 0.00109323,
0.00427602, -0.00600755, 0.057099, 0.00155268,
0.00461435, -0.00737637, 0.0551084, 0.00215031,
0.00695698, -0.00971401, 0.0715767, 0.00316529,
0.00867619, -0.0120943, 0.0793314, 0.00436995,
0.0106694, -0.0148202, 0.0869391, 0.0058959,
0.0140351, -0.0183501, 0.101572, 0.00798757,
0.0168939, -0.022006, 0.11018, 0.0104233,
0.020197, -0.0261568, 0.119041, 0.0134167,
0.0254702, -0.0312778, 0.135404, 0.0173009,
0.0298384, -0.0362469, 0.1437, 0.0215428,
0.035159, -0.042237, 0.15512, 0.0268882,
0.0427685, -0.0488711, 0.17128, 0.033235,
0.0494848, -0.0557997, 0.181813, 0.0404443,
0.0592394, -0.0635578, 0.198745, 0.0490043,
0.0681463, -0.071838, 0.210497, 0.0588239,
0.0804753, -0.0809297, 0.228864, 0.0702835,
0.0942205, -0.0906488, 0.247008, 0.0834012,
0.106777, -0.100216, 0.258812, 0.0975952,
0.124471, -0.110827, 0.278617, 0.114162,
0.138389, -0.121193, 0.287049, 0.131983,
0.159543, -0.13253, 0.307151, 0.152541,
0.176432, -0.143611, 0.31564, 0.174673,
0.201723, -0.15548, 0.33538, 0.199842,
0.229721, -0.167166, 0.355256, 0.227097,
0.250206, -0.178238, 0.360047, 0.256014,
0.282118, -0.189905, 0.378761, 0.28855,
0.312821, -0.201033, 0.39181, 0.323348,
0.341482, -0.211584, 0.397716, 0.360564,
0.377368, -0.221314, 0.410141, 0.400004,
0.418229, -0.230474, 0.423485, 0.442371,
0.444881, -0.239443, 0.418874, 0.488796,
0.488899, -0.245987, 0.427545, 0.535012,
0.520317, -0.253948, 0.422147, 0.589678,
0.568566, -0.256616, 0.42719, 0.637683,
0.599607, -0.26376, 0.415114, 0.703363,
0.64222, -0.268687, 0.408715, 0.771363,
0.685698, -0.2694, 0.399722, 0.83574,
0.732327, -0.266642, 0.388651, 0.897764,
0.769873, -0.267712, 0.369198, 0.983312,
0.806733, -0.263479, 0.346802, 1.06222,
0.843466, -0.254575, 0.321368, 1.13477,
0.873008, -0.242749, 0.29211, 1.20712,
0.908438, -0.22725, 0.262143, 1.27465,
0.936321, -0.207621, 0.228876, 1.33203,
0.950353, -0.187932, 0.19484, 1.40439,
0.96442, -0.165154, 0.163178, 1.4732,
0.979856, -0.139302, 0.127531, 1.53574,
0.982561, -0.11134, 0.0903457, 1.59982,
0.996389, -0.0808124, 0.0489007, 1.6577,
};
const float LTC2[] = {
1, 0, 0, 0,
1, 7.91421e-31, 0, 0,
1, 1.04392e-24, 0, 0,
1, 3.49405e-21, 0, 0,
1, 1.09923e-18, 0, 0,
1, 9.47414e-17, 0, 0,
1, 3.59627e-15, 0, 0,
1, 7.72053e-14, 0, 0,
1, 1.08799e-12, 0, 0,
1, 1.10655e-11, 0, 0,
1, 8.65818e-11, 0, 0,
0.999998, 5.45037e-10, 0, 0,
0.999994, 2.85095e-09, 0, 0,
0.999989, 1.26931e-08, 0, 0,
0.999973, 4.89938e-08, 0, 0,
0.999947, 1.66347e-07, 0, 0,
0.999894, 5.02694e-07, 0, 0,
0.999798, 1.36532e-06, 0, 0,
0.999617, 3.35898e-06, 0, 0,
0.999234, 7.52126e-06, 0, 0,
0.998258, 1.52586e-05, 0, 0,
0.99504, 2.66207e-05, 0, 0,
0.980816, 2.36802e-05, 0, 0,
0.967553, 2.07684e-06, 0, 0,
0.966877, 4.03733e-06, 0, 0,
0.965752, 7.41174e-06, 0, 0,
0.96382, 1.27746e-05, 0, 0,
0.960306, 2.02792e-05, 0, 0,
0.953619, 2.80232e-05, 0, 0,
0.941103, 2.78816e-05, 0, 0,
0.926619, 1.60221e-05, 0, 0,
0.920983, 2.35164e-05, 0, 0,
0.912293, 3.11924e-05, 0, 0.0158731,
0.899277, 3.48118e-05, 0, 0.0476191,
0.880884, 2.6041e-05, 0, 0.0793651,
0.870399, 3.38726e-05, 0, 0.111111,
0.856138, 3.92906e-05, 0, 0.142857,
0.837436, 3.72874e-05, 0, 0.174603,
0.820973, 3.92558e-05, 0, 0.206349,
0.803583, 4.34658e-05, 0, 0.238095,
0.782168, 4.0256e-05, 0, 0.269841,
0.764107, 4.48159e-05, 0, 0.301587,
0.743092, 4.57627e-05, 0, 0.333333,
0.721626, 4.55314e-05, 0, 0.365079,
0.700375, 4.77335e-05, 0, 0.396825,
0.677334, 4.61072e-05, 0, 0.428571,
0.655702, 4.84393e-05, 0, 0.460317,
0.632059, 4.64583e-05, 0, 0.492064,
0.610125, 4.83923e-05, 0, 0.52381,
0.58653, 4.64342e-05, 0, 0.555556,
0.564508, 4.77033e-05, 0, 0.587302,
0.541405, 4.59263e-05, 0, 0.619048,
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HI