Itc_matrix.hpp

#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,
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	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,
	0.519556, 4.6412e-05, 0, 0.650794,
	0.497292, 4.48913e-05, 0, 0.68254,
	0.475898, 4.45789e-05, 0, 0.714286,
	0.454722, 4.33496e-05, 0, 0.746032,
	0.434042, 4.23054e-05, 0, 0.777778,
	0.414126, 4.13737e-05, 0, 0.809524,
	0.394387, 3.97265e-05, 0, 0.84127,
	0.375841, 3.90709e-05, 0, 0.873016,
	0.357219, 3.69938e-05, 0, 0.904762,
	0.340084, 3.65618e-05, 0, 0.936508,
	0.322714, 3.42533e-05, 0, 0.968254,
	0.306974, 3.39596e-05, 0, 1,
	1, 1.01524e-18, 0, 0,
	1, 1.0292e-18, 0, 0,
	1, 1.30908e-18, 0, 0,
	1, 4.73331e-18, 0, 0,
	1, 6.25319e-17, 0, 0,
	1, 1.07932e-15, 0, 0,
	1, 1.63779e-14, 0, 0,
	1, 2.03198e-13, 0, 0,
	1, 2.04717e-12, 0, 0,
	0.999999, 1.68995e-11, 0, 0,
	0.999998, 1.15855e-10, 0, 0,
	0.999996, 6.6947e-10, 0, 0,
	0.999991, 3.30863e-09, 0, 0,
	0.999983, 1.41737e-08, 0, 0,
	0.999968, 5.32626e-08, 0, 0,
	0.99994, 1.77431e-07, 0, 0,
	0.999891, 5.28835e-07, 0, 0,
	0.999797, 1.42169e-06, 0, 0,
	0.999617, 3.47057e-06, 0, 0,
	0.999227, 7.7231e-06, 0, 0,
	0.998239, 1.55753e-05, 0, 0,
	0.994937, 2.68495e-05, 0, 0,
	0.980225, 2.13742e-05, 0, 0,
	0.967549, 2.1631e-06, 0, 0,
	0.966865, 4.17989e-06, 0, 0,
	0.965739, 7.63341e-06, 0, 0,
	0.963794, 1.30892e-05, 0, 0,
	0.960244, 2.06456e-05, 0, 0,
	0.953495, 2.82016e-05, 0, 0.000148105,
	0.940876, 2.71581e-05, 0, 0.002454,
	0.926569, 1.64159e-05, 0, 0.00867491,
	0.920905, 2.39521e-05, 0, 0.01956,
	0.912169, 3.15127e-05, 0, 0.035433,
	0.899095, 3.46626e-05, 0, 0.056294,
	0.882209, 2.90223e-05, 0, 0.0818191,
	0.870272, 3.42992e-05, 0, 0.111259,
	0.855977, 3.94164e-05, 0, 0.142857,
	0.837431, 3.72343e-05, 0, 0.174603,
	0.820826, 3.96691e-05, 0, 0.206349,
	0.803408, 4.35395e-05, 0, 0.238095,
	0.782838, 4.19579e-05, 0, 0.269841,
	0.763941, 4.50953e-05, 0, 0.301587,
	0.742904, 4.55847e-05, 0, 0.333333,
	0.721463, 4.58833e-05, 0, 0.365079,
	0.700197, 4.77159e-05, 0, 0.396825,
	0.677501, 4.70641e-05, 0, 0.428571,
	0.655527, 4.84732e-05, 0, 0.460317,
	0.6324, 4.76834e-05, 0, 0.492064,
	0.609964, 4.84213e-05, 0, 0.52381,
	0.586839, 4.75541e-05, 0, 0.555556,
	0.564353, 4.76951e-05, 0, 0.587302,
	0.541589, 4.67611e-05, 0, 0.619048,
	0.519413, 4.63493e-05, 0, 0.650794,
	0.497337, 4.53994e-05, 0, 0.68254,
	0.475797, 4.45308e-05, 0, 0.714286,
	0.454659, 4.35787e-05, 0, 0.746032,
	0.434065, 4.24839e-05, 0, 0.777778,
	0.414018, 4.1436e-05, 0, 0.809524,
	0.39455, 4.01902e-05, 0, 0.84127,
	0.375742, 3.90813e-05, 0, 0.873016,
	0.357501, 3.77116e-05, 0, 0.904762,
	0.339996, 3.6535e-05, 0, 0.936508,
	0.323069, 3.51265e-05, 0, 0.968254,
	0.306897, 3.39112e-05, 0, 1,
	1, 1.0396e-15, 0, 0,
	1, 1.04326e-15, 0, 0,
	1, 1.10153e-15, 0, 0,
	1, 1.44668e-15, 0, 0,
	1, 3.4528e-15, 0, 0,
	1, 1.75958e-14, 0, 0,
	1, 1.2627e-13, 0, 0,
	1, 9.36074e-13, 0, 0,
	1, 6.45742e-12, 0, 0,
	0.999998, 4.01228e-11, 0, 0,
	0.999997, 2.22338e-10, 0, 0,
	0.999995, 1.0967e-09, 0, 0,
	0.999991, 4.82132e-09, 0, 0,
	0.999981, 1.89434e-08, 0, 0,
	0.999967, 6.67716e-08, 0, 0,
	0.999938, 2.12066e-07, 0, 0,
	0.999886, 6.0977e-07, 0, 0,
	0.999792, 1.59504e-06, 0, 0,
	0.999608, 3.81191e-06, 0, 0,
	0.999209, 8.33727e-06, 0, 0,
	0.998179, 1.65288e-05, 0, 0,
	0.994605, 2.74387e-05, 0, 0,
	0.979468, 1.67316e-05, 0, 0,
	0.967529, 2.42877e-06, 0, 0,
	0.966836, 4.61696e-06, 0, 0,
	0.96569, 8.30977e-06, 0, 0,
	0.963706, 1.40427e-05, 0, 2.44659e-06,
	0.960063, 2.17353e-05, 0, 0.000760774,
	0.953113, 2.86606e-05, 0, 0.00367261,
	0.940192, 2.47691e-05, 0, 0.00940263,
	0.927731, 1.95814e-05, 0, 0.018333,
	0.920669, 2.52531e-05, 0, 0.0306825,
	0.911799, 3.24277e-05, 0, 0.0465556,
	0.89857, 3.40982e-05, 0, 0.0659521,
	0.883283, 3.19622e-05, 0, 0.0887677,
	0.86989, 3.5548e-05, 0, 0.114784,
	0.855483, 3.97143e-05, 0, 0.143618,
	0.837987, 3.91665e-05, 0, 0.174606,
	0.820546, 4.11306e-05, 0, 0.206349,
	0.802878, 4.36753e-05, 0, 0.238095,
	0.783402, 4.44e-05, 0, 0.269841,
	0.763439, 4.58726e-05, 0, 0.301587,
	0.742925, 4.67097e-05, 0, 0.333333,
	0.721633, 4.78887e-05, 0, 0.365079,
	0.69985, 4.81251e-05, 0, 0.396825,
	0.67783, 4.91811e-05, 0, 0.428571,
	0.655126, 4.88199e-05, 0, 0.460318,
	0.632697, 4.96025e-05, 0, 0.492064,
	0.609613, 4.8829e-05, 0, 0.52381,
	0.587098, 4.92754e-05, 0, 0.555556,
	0.564119, 4.82625e-05, 0, 0.587302,
	0.541813, 4.82807e-05, 0, 0.619048,
	0.519342, 4.71552e-05, 0, 0.650794,
	0.497514, 4.66765e-05, 0, 0.68254,
	0.475879, 4.55582e-05, 0, 0.714286,
	0.454789, 4.46007e-05, 0, 0.746032,
	0.434217, 4.35382e-05, 0, 0.777778,
	0.414086, 4.21753e-05, 0, 0.809524,
	0.394744, 4.12093e-05, 0, 0.84127,
	0.375782, 3.96634e-05, 0, 0.873016,
	0.357707, 3.86419e-05, 0, 0.904762,
	0.340038, 3.70345e-05, 0, 0.936508,
	0.323284, 3.59725e-05, 0, 0.968254,
	0.306954, 3.436e-05, 0, 1,
	1, 5.99567e-14, 0, 0,
	1, 6.00497e-14, 0, 0,
	1, 6.14839e-14, 0, 0,
	1, 6.86641e-14, 0, 0,
	1, 9.72658e-14, 0, 0,
	1, 2.21271e-13, 0, 0,
	1, 8.33195e-13, 0, 0,
	1, 4.03601e-12, 0, 0,
	0.999999, 2.06001e-11, 0, 0,
	0.999998, 1.01739e-10, 0, 0,
	0.999997, 4.70132e-10, 0, 0,
	0.999993, 2.00436e-09, 0, 0,
	0.999988, 7.83682e-09, 0, 0,
	0.999979, 2.80338e-08, 0, 0,
	0.999962, 9.17033e-08, 0, 0,
	0.999933, 2.74514e-07, 0, 0,
	0.999881, 7.53201e-07, 0, 0,
	0.999783, 1.89826e-06, 0, 0,
	0.999594, 4.40279e-06, 0, 0,
	0.999178, 9.3898e-06, 0, 0,
	0.998073, 1.81265e-05, 0, 0,
	0.993993, 2.80487e-05, 0, 0,
	0.979982, 1.49422e-05, 0, 0,
	0.968145, 3.78481e-06, 0, 0,
	0.966786, 5.3771e-06, 0, 0,
	0.965611, 9.47508e-06, 0, 3.88934e-05,
	0.963557, 1.56616e-05, 0, 0.0009693,
	0.959752, 2.35144e-05, 0, 0.00370329,
	0.952461, 2.91568e-05, 0, 0.00868428,
	0.940193, 2.40102e-05, 0, 0.0161889,
	0.929042, 2.31235e-05, 0, 0.0263948,
	0.920266, 2.73968e-05, 0, 0.0394088,
	0.911178, 3.37915e-05, 0, 0.0552818,
	0.897873, 3.33629e-05, 0, 0.0740138,
	0.884053, 3.51405e-05, 0, 0.0955539,
	0.869455, 3.78034e-05, 0, 0.119795,
	0.854655, 3.99378e-05, 0, 0.14656,
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