LTC.h

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#pragma once
 
// GGX 
 
static const int GGX_LTC_Size = 64;
 
static const float GGX_LTC_Mat[ 4 * GGX_LTC_Size * GGX_LTC_Size] =
{
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,
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0.634541, -0.256471, 0.443725, 0.670492,
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,
};
 
static const float GGX_LTC_Amp[ 4 * GGX_LTC_Size * GGX_LTC_Size] =
{
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,
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0.892502, 0.0931724, 0, 0.539064,
0.891441, 0.0878276, 0, 0.556028,
0.890276, 0.082903, 0, 0.573125,
0.888972, 0.0783505, 0, 0.590361,
0.887469, 0.0741083, 0, 0.607741,
0.885785, 0.0701633, 0, 0.62527,
0.883914, 0.0664835, 0, 0.642957,
0.881872, 0.0630567, 0, 0.660809,
0.879651, 0.0598527, 0, 0.678836,
0.877267, 0.0568615, 0, 0.69705,
0.874717, 0.05406, 0, 0.715465,
0.872012, 0.0514378, 0, 0.734098,
0.869157, 0.0489805, 0, 0.752968,
0.866155, 0.0466727, 0, 0.772101,
0.863014, 0.0445056, 0, 0.791529,
0.859748, 0.0424733, 0, 0.81129,
0.856416, 0.0405957, 0, 0.831438,
0.852958, 0.0388273, 0, 0.852044,
0.849382, 0.0371619, 0, 0.87321,
0.845694, 0.0355959, 0, 0.89509,
0.841893, 0.0341155, 0, 0.917932,
0.837981, 0.0327141, 0, 0.942204,
0.833963, 0.0313856, 0, 0.968981,
0.829847, 0.0301275, 0, 1,
1, 0.85214, 0, 0,
0.999969, 0.852095, 0, 0.00279627,
0.999483, 0.851408, 0, 0.0107635,
0.994545, 0.84579, 0, 0.0206454,
0.986188, 0.835231, 0, 0.0315756,
0.969847, 0.814687, 0, 0.0432021,
0.945951, 0.783735, 0, 0.0553396,
0.91917, 0.746074, 0, 0.0678766,
0.895488, 0.706938, 0, 0.0807395,
0.878232, 0.669534, 0, 0.0938767,
0.868252, 0.635168, 0, 0.10725,
0.863873, 0.603069, 0, 0.120832,
0.863369, 0.572514, 0, 0.134598,
0.86545, 0.543169, 0, 0.148533,
0.868803, 0.514578, 0, 0.16262,
0.872794, 0.486762, 0, 0.176849,
0.87702, 0.459811, 0, 0.19121,
0.881054, 0.433654, 0, 0.205694,
0.884974, 0.408574, 0, 0.220294,
0.888587, 0.384525, 0, 0.235005,
0.891877, 0.36156, 0, 0.24982,
0.894793, 0.339661, 0, 0.264737,
0.89743, 0.318913, 0, 0.279751,
0.899796, 0.299302, 0, 0.294859,
0.901943, 0.280843, 0, 0.310058,
0.903858, 0.263481, 0, 0.325346,
0.905574, 0.247197, 0, 0.340721,
0.907069, 0.231915, 0, 0.356181,
0.908379, 0.217614, 0, 0.371725,
0.90952, 0.20425, 0, 0.387353,
0.910483, 0.191758, 0, 0.403063,
0.91128, 0.180092, 0, 0.418854,
0.911936, 0.169222, 0, 0.434727,
0.912454, 0.159098, 0, 0.450682,
0.912835, 0.149668, 0, 0.466718,
0.913078, 0.140884, 0, 0.482837,
0.913192, 0.132709, 0, 0.499038,
0.913175, 0.125095, 0, 0.515324,
0.91304, 0.118012, 0, 0.531695,
0.912781, 0.111417, 0, 0.548153,
0.91241, 0.105281, 0, 0.5647,
0.911924, 0.0995691, 0, 0.581338,
0.911331, 0.0942531, 0, 0.59807,
0.910637, 0.0893076, 0, 0.6149,
0.90984, 0.0846998, 0, 0.63183,
0.908941, 0.0804044, 0, 0.648865,
0.907944, 0.0763984, 0, 0.666011,
0.906857, 0.0726638, 0, 0.683273,
0.90568, 0.0691783, 0, 0.700659,
0.904416, 0.0659222, 0, 0.718176,
0.903067, 0.0628782, 0, 0.735834,
0.901637, 0.0600307, 0, 0.753646,
0.900128, 0.0573647, 0, 0.771625,
0.898544, 0.0548668, 0, 0.78979,
0.89689, 0.052527, 0, 0.808162,
0.895165, 0.0503306, 0, 0.826771,
0.893371, 0.0482668, 0, 0.845654,
0.891572, 0.0463605, 0, 0.864863,
0.889763, 0.0445998, 0, 0.884472,
0.887894, 0.0429451, 0, 0.904592,
0.885967, 0.0413884, 0, 0.925407,
0.883984, 0.0399225, 0, 0.947271,
0.881945, 0.0385405, 0, 0.97105,
0.879854, 0.0372362, 0, 1,
0.999804, 0.995833, 0, 0,
0.938155, 0.933611, 0, 0.0158731,
0.864755, 0.854311, 0, 0.0317461,
0.888594, 0.865264, 0, 0.0476191,
0.905575, 0.863922, 0, 0.0634921,
0.915125, 0.850558, 0, 0.0793651,
0.920665, 0.829254, 0, 0.0952381,
0.924073, 0.802578, 0, 0.111111,
0.926304, 0.772211, 0, 0.126984,
0.927829, 0.739366, 0, 0.142857,
0.928924, 0.705033, 0, 0.15873,
0.92973, 0.670019, 0, 0.174603,
0.930339, 0.634993, 0, 0.190476,
0.930811, 0.600485, 0, 0.206349,
0.931191, 0.566897, 0, 0.222222,
0.93149, 0.534485, 0, 0.238095,
0.931737, 0.503429, 0, 0.253968,
0.931939, 0.473811, 0, 0.269841,
0.932108, 0.445668, 0, 0.285714,
0.93225, 0.418993, 0, 0.301587,
0.932371, 0.393762, 0, 0.31746,
0.932474, 0.369939, 0, 0.333333,
0.932562, 0.347479, 0, 0.349206,
0.932638, 0.326336, 0, 0.365079,
0.932703, 0.306462, 0, 0.380952,
0.93276, 0.287805, 0, 0.396825,
0.932809, 0.270313, 0, 0.412698,
0.932851, 0.253933, 0, 0.428571,
0.932887, 0.23861, 0, 0.444444,
0.932917, 0.224289, 0, 0.460317,
0.932943, 0.210917, 0, 0.47619,
0.932965, 0.19844, 0, 0.492063,
0.932982, 0.186807, 0, 0.507937,
0.932995, 0.175966, 0, 0.52381,
0.933005, 0.165869, 0, 0.539683,
0.933011, 0.156468, 0, 0.555556,
0.933013, 0.147719, 0, 0.571429,
0.933013, 0.139579, 0, 0.587302,
0.93301, 0.132007, 0, 0.603175,
0.933004, 0.124965, 0, 0.619048,
0.932994, 0.118416, 0, 0.634921,
0.932982, 0.112326, 0, 0.650794,
0.932968, 0.106663, 0, 0.666667,
0.93295, 0.101397, 0, 0.68254,
0.932931, 0.0964993, 0, 0.698413,
0.932908, 0.0919438, 0, 0.714286,
0.932883, 0.0877057, 0, 0.730159,
0.932856, 0.0837623, 0, 0.746032,
0.932827, 0.0800921, 0, 0.761905,
0.932796, 0.0766754, 0, 0.777778,
0.932762, 0.0734936, 0, 0.793651,
0.932727, 0.0705296, 0, 0.809524,
0.932689, 0.0677676, 0, 0.825397,
0.93265, 0.0651929, 0, 0.84127,
0.932609, 0.0627917, 0, 0.857143,
0.932565, 0.0605515, 0, 0.873016,
0.932521, 0.0584606, 0, 0.888889,
0.932474, 0.0565082, 0, 0.904762,
0.932427, 0.0546841, 0, 0.920635,
0.932377, 0.0529793, 0, 0.936508,
0.932326, 0.0513851, 0, 0.952381,
0.932274, 0.0498936, 0, 0.968254,
0.93222, 0.0484975, 0, 0.984127,
0.932164, 0.0471899, 0, 1,
};
 
 
// Sheen
// Data are stored as follow:
//  * [Row      ][Column  ]
//  * [Roughness][CosTheta]
 
static const int Sheen_LTC_Size = 32;
const float Sheen_LTC_Volume[Sheen_LTC_Size][Sheen_LTC_Size][3] =
{
{
    {0.01415, 0.00060, 0.00001}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}
},
{
    {0.01941, -0.00232, 0.05839}, {0.01741, -0.00581, 0.00071}, {0.04610, -0.00769, 0.00007},
    {0.10367, -0.00740, 0.00002}, {0.06244, -0.02445, 0.00000}, {0.23927, -0.00242, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}
},
{
    {0.01927, -0.01424, 0.38834}, {0.01895, -0.00218, 0.09768}, {0.03002, -0.00194, 0.01072},
    {0.03912, -0.00384, 0.00150}, {0.04938, -0.00668, 0.00039}, {0.05239, -0.01107, 0.00012},
    {0.06018, -0.00746, 0.00006}, {0.06520, -0.01591, 0.00003}, {0.08253, -0.01052, 0.00002},
    {0.21093, -0.01495, 0.00002}, {0.12785, -0.01530, 0.00001}, {0.19030, -0.01428, 0.00001},
    {0.15254, -0.01276, 0.00000}, {0.16585, -0.02071, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}
},
{
    {0.03084, -0.04909, 0.55348}, {0.03764, -0.00710, 0.29827}, {0.03952, -0.00236, 0.11755},
    {0.04092, -0.00201, 0.03677}, {0.04433, -0.00298, 0.00983}, {0.05014, -0.00546, 0.00288},
    {0.05570, -0.00834, 0.00101}, {0.06215, -0.01121, 0.00046}, {0.06660, -0.01294, 0.00023},
    {0.07902, -0.01692, 0.00014}, {0.10099, -0.01639, 0.00010}, {0.10794, -0.01738, 0.00006},
    {0.10632, -0.02032, 0.00004}, {0.12623, -0.01947, 0.00003}, {0.13931, -0.02354, 0.00002},
    {0.15353, -0.02910, 0.00002}, {0.16109, -0.02565, 0.00001}, {0.14583, -0.02903, 0.00001},
    {0.27891, -0.03066, 0.00001}, {0.22622, -0.03044, 0.00001}, {0.18932, -0.04045, 0.00001},
    {0.20219, -0.03226, 0.00000}, {0.30269, -0.03443, 0.00000}, {0.38379, -0.03023, 0.00000},
    {0.39038, -0.03610, 0.00000}, {0.46310, -0.02022, 0.00000}, {0.44663, -0.02590, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000},
    {0.00000, 0.00000, 0.00000}, {0.00000, 0.00000, 0.00000}
},
{
    {0.04118, -0.10668, 0.63273}, {0.05152, -0.02772, 0.42999}, {0.05724, -0.00717, 0.24931},
    {0.05863, -0.00421, 0.13040}, {0.05952, -0.00351, 0.05910}, {0.06149, -0.00399, 0.02430},
    {0.06448, -0.00522, 0.00981}, {0.07004, -0.00676, 0.00433}, {0.07774, -0.00866, 0.00200},
    {0.08632, -0.01099, 0.00105}, {0.09629, -0.01332, 0.00062}, {0.10592, -0.01590, 0.00039},
    {0.10718, -0.01724, 0.00024}, {0.12207, -0.02041, 0.00018}, {0.13413, -0.02237, 0.00013},
    {0.13702, -0.02503, 0.00009}, {0.15294, -0.02664, 0.00008}, {0.15121, -0.02803, 0.00006},
    {0.17652, -0.03188, 0.00005}, {0.19532, -0.03147, 0.00004}, {0.20831, -0.03346, 0.00003},
    {0.19762, -0.03476, 0.00002}, {0.24202, -0.03464, 0.00002}, {0.32995, -0.03125, 0.00002},
    {0.30857, -0.03303, 0.00002}, {0.39596, -0.03009, 0.00002}, {0.38346, -0.03198, 0.00001},
    {0.42503, -0.02518, 0.00001}, {0.41592, -0.03195, 0.00001}, {0.42512, -0.01668, 0.00001},
    {0.36714, -0.02978, 0.00001}, {0.46502, -0.00394, 0.00001}
},
{
    {0.05088, -0.16006, 0.67021}, {0.06485, -0.05552, 0.50797}, {0.07697, -0.01274, 0.34475},
    {0.08334, -0.00932, 0.22264}, {0.08654, -0.00582, 0.13300}, {0.08950, -0.00507, 0.07375},
    {0.09263, -0.00531, 0.03867}, {0.09711, -0.00616, 0.02006}, {0.10113, -0.00792, 0.01032},
    {0.10913, -0.00949, 0.00570}, {0.11586, -0.01167, 0.00324}, {0.12425, -0.01421, 0.00197},
    {0.12986, -0.01635, 0.00122}, {0.13530, -0.01858, 0.00080}, {0.15037, -0.02237, 0.00059},
    {0.15165, -0.02450, 0.00040}, {0.15858, -0.02714, 0.00030}, {0.16660, -0.03145, 0.00022},
    {0.18051, -0.03321, 0.00018}, {0.18022, -0.03295, 0.00013}, {0.19896, -0.03492, 0.00012},
    {0.21095, -0.03365, 0.00009}, {0.21862, -0.03733, 0.00008}, {0.23861, -0.03930, 0.00007},
    {0.25384, -0.03879, 0.00006}, {0.27394, -0.03580, 0.00005}, {0.28563, -0.04089, 0.00004},
    {0.29160, -0.03604, 0.00003}, {0.29300, -0.03863, 0.00003}, {0.33458, -0.03575, 0.00002},
    {0.36514, -0.02621, 0.00002}, {0.38746, 0.00124, 0.00002}
},
{
    {0.06054, -0.18133, 0.68765}, {0.07710, -0.08871, 0.55387}, {0.09569, -0.02800, 0.41042},
    {0.10917, -0.01456, 0.29613}, {0.11813, -0.01052, 0.20481}, {0.12469, -0.00904, 0.13463},
    {0.12958, -0.00864, 0.08432}, {0.13406, -0.00898, 0.05135}, {0.13801, -0.01019, 0.03073},
    {0.14324, -0.01110, 0.01861}, {0.14801, -0.01354, 0.01132}, {0.15359, -0.01614, 0.00706},
    {0.15945, -0.01922, 0.00454}, {0.16688, -0.02116, 0.00304}, {0.17552, -0.02363, 0.00212},
    {0.17956, -0.02606, 0.00145}, {0.18275, -0.02887, 0.00102}, {0.19293, -0.03270, 0.00078},
    {0.20081, -0.03492, 0.00059}, {0.20817, -0.03607, 0.00046}, {0.21658, -0.03714, 0.00036},
    {0.22866, -0.03827, 0.00030}, {0.23912, -0.03832, 0.00025}, {0.24736, -0.03918, 0.00020},
    {0.26573, -0.04071, 0.00017}, {0.26821, -0.04382, 0.00013}, {0.28767, -0.03860, 0.00012},
    {0.30592, -0.03690, 0.00010}, {0.31228, -0.04032, 0.00008}, {0.35297, -0.03136, 0.00008},
    {0.35570, -0.02365, 0.00006}, {0.37077, -0.00281, 0.00006}
},
{
    {0.07075, -0.18042, 0.69478}, {0.08974, -0.10806, 0.58263}, {0.11306, -0.04959, 0.45689},
    {0.13241, -0.02418, 0.35318}, {0.14704, -0.01632, 0.26617}, {0.15763, -0.01333, 0.19342},
    {0.16591, -0.01204, 0.13650}, {0.17258, -0.01177, 0.09391}, {0.17781, -0.01198, 0.06299},
    {0.18234, -0.01284, 0.04183}, {0.18700, -0.01408, 0.02782}, {0.19101, -0.01571, 0.01845},
    {0.19657, -0.01794, 0.01259}, {0.20165, -0.02041, 0.00864}, {0.20731, -0.02235, 0.00604},
    {0.21150, -0.02516, 0.00421}, {0.21692, -0.02822, 0.00303}, {0.22536, -0.03168, 0.00228},
    {0.23235, -0.03631, 0.00172}, {0.23720, -0.03840, 0.00129}, {0.24295, -0.04024, 0.00099},
    {0.25154, -0.04645, 0.00079}, {0.26200, -0.04435, 0.00066}, {0.26907, -0.04644, 0.00052},
    {0.28040, -0.04369, 0.00044}, {0.28922, -0.05007, 0.00034}, {0.30452, -0.04809, 0.00029},
    {0.31567, -0.04719, 0.00024}, {0.33294, -0.04179, 0.00021}, {0.35084, -0.03537, 0.00019},
    {0.37226, -0.02633, 0.00017}, {0.37956, 0.00196, 0.00013}
},
{
    {0.08222, -0.17531, 0.69794}, {0.10394, -0.13135, 0.60100}, {0.13034, -0.08092, 0.49085},
    {0.15361, -0.04065, 0.39802}, {0.17244, -0.02431, 0.31773}, {0.18620, -0.01864, 0.24683},
    {0.19671, -0.01620, 0.18787}, {0.20509, -0.01498, 0.13964}, {0.21199, -0.01460, 0.10220},
    {0.21726, -0.01487, 0.07319}, {0.22245, -0.01549, 0.05252}, {0.22702, -0.01665, 0.03747},
    {0.23174, -0.01802, 0.02685}, {0.23571, -0.01985, 0.01915}, {0.23966, -0.02185, 0.01375},
    {0.24384, -0.02424, 0.00996}, {0.24877, -0.02636, 0.00733}, {0.25548, -0.02871, 0.00552},
    {0.26047, -0.03133, 0.00415}, {0.26863, -0.03455, 0.00322}, {0.27404, -0.03705, 0.00247},
    {0.28088, -0.03931, 0.00194}, {0.29010, -0.04546, 0.00157}, {0.29704, -0.04797, 0.00126},
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    {0.67844, -0.07174, 0.27113}, {0.68333, -0.06833, 0.25452}, {0.68809, -0.06521, 0.23828},
    {0.69262, -0.06204, 0.22301}, {0.69697, -0.05878, 0.20869}, {0.70127, -0.05553, 0.19491},
    {0.70529, -0.05205, 0.18216}, {0.70896, -0.04825, 0.17048}, {0.71278, -0.04429, 0.15888},
    {0.71635, -0.03988, 0.14822}, {0.71997, -0.03495, 0.13785}, {0.72323, -0.02900, 0.12826},
    {0.72673, -0.02079, 0.11891}, {0.72944, 0.00004, 0.11016}
},
{
    {0.45873, -0.12835, 0.70614}, {0.49433, -0.13100, 0.68304}, {0.52949, -0.12981, 0.65400},
    {0.55633, -0.12616, 0.62850}, {0.57809, -0.12174, 0.60424}, {0.59634, -0.11714, 0.57985},
    {0.61180, -0.11273, 0.55495}, {0.62517, -0.10827, 0.53092}, {0.63669, -0.10407, 0.50671},
    {0.64685, -0.09994, 0.48305}, {0.65584, -0.09624, 0.45902}, {0.66376, -0.09244, 0.43645},
    {0.67113, -0.08921, 0.41315}, {0.67765, -0.08575, 0.39173}, {0.68370, -0.08256, 0.37068},
    {0.68930, -0.07941, 0.35059}, {0.69443, -0.07619, 0.33162}, {0.69947, -0.07326, 0.31286},
    {0.70415, -0.07019, 0.29534}, {0.70855, -0.06708, 0.27878}, {0.71287, -0.06409, 0.26263},
    {0.71661, -0.06080, 0.24796}, {0.72066, -0.05775, 0.23332}, {0.72451, -0.05456, 0.21962},
    {0.72821, -0.05117, 0.20663}, {0.73152, -0.04735, 0.19465}, {0.73501, -0.04351, 0.18279},
    {0.73849, -0.03929, 0.17160}, {0.74160, -0.03433, 0.16118}, {0.74481, -0.02845, 0.15104},
    {0.74776, -0.02023, 0.14164}, {0.75105, 0.00006, 0.13208}
},
{
    {0.49554, -0.11754, 0.70978}, {0.53027, -0.11957, 0.68862}, {0.56475, -0.11844, 0.66139},
    {0.59075, -0.11545, 0.63717}, {0.61170, -0.11182, 0.61414}, {0.62919, -0.10788, 0.59143},
    {0.64398, -0.10410, 0.56846}, {0.65664, -0.10044, 0.54542}, {0.66758, -0.09697, 0.52211},
    {0.67700, -0.09338, 0.49989}, {0.68535, -0.09011, 0.47731}, {0.69283, -0.08701, 0.45504},
    {0.69943, -0.08398, 0.43352}, {0.70556, -0.08119, 0.41218}, {0.71100, -0.07822, 0.39227},
    {0.71624, -0.07555, 0.37245}, {0.72083, -0.07263, 0.35421}, {0.72523, -0.06975, 0.33639},
    {0.72925, -0.06691, 0.31941}, {0.73339, -0.06419, 0.30275}, {0.73715, -0.06130, 0.28712},
    {0.74070, -0.05852, 0.27199}, {0.74402, -0.05539, 0.25799}, {0.74744, -0.05231, 0.24427},
    {0.75049, -0.04891, 0.23147}, {0.75399, -0.04558, 0.21879}, {0.75685, -0.04169, 0.20716},
    {0.75973, -0.03736, 0.19611}, {0.76249, -0.03256, 0.18534}, {0.76538, -0.02662, 0.17518},
    {0.76785, -0.01865, 0.16553}, {0.77115, 0.00005, 0.15588}
},
{
    {0.53272, -0.10493, 0.71478}, {0.56610, -0.10643, 0.69461}, {0.59929, -0.10534, 0.66938},
    {0.62423, -0.10298, 0.64618}, {0.64430, -0.10006, 0.62412}, {0.66087, -0.09686, 0.60285},
    {0.67490, -0.09377, 0.58132}, {0.68693, -0.09079, 0.55910}, {0.69725, -0.08792, 0.53711},
    {0.70612, -0.08524, 0.51494}, {0.71373, -0.08232, 0.49425}, {0.72045, -0.07970, 0.47333},
    {0.72654, -0.07708, 0.45290}, {0.73215, -0.07461, 0.43265}, {0.73731, -0.07219, 0.41291},
    {0.74188, -0.06976, 0.39410}, {0.74597, -0.06728, 0.37624}, {0.74997, -0.06490, 0.35873},
    {0.75337, -0.06230, 0.34249}, {0.75709, -0.05978, 0.32632}, {0.76060, -0.05720, 0.31088},
    {0.76378, -0.05462, 0.29607}, {0.76659, -0.05180, 0.28230}, {0.76955, -0.04891, 0.26889},
    {0.77230, -0.04571, 0.25622}, {0.77514, -0.04252, 0.24377}, {0.77793, -0.03908, 0.23184},
    {0.78043, -0.03509, 0.22064}, {0.78282, -0.03041, 0.21005}, {0.78468, -0.02457, 0.20018},
    {0.78754, -0.01737, 0.19021}, {0.78995, 0.00006, 0.18089}
},
{
    {0.56932, -0.09075, 0.71955}, {0.60103, -0.09168, 0.70070}, {0.63267, -0.09087, 0.67652},
    {0.65651, -0.08897, 0.65469}, {0.67543, -0.08664, 0.63411}, {0.69104, -0.08420, 0.61379},
    {0.70419, -0.08174, 0.59365}, {0.71550, -0.07948, 0.57227}, {0.72506, -0.07710, 0.55184},
    {0.73326, -0.07491, 0.53105}, {0.74047, -0.07278, 0.51035}, {0.74675, -0.07074, 0.49002},
    {0.75230, -0.06867, 0.47031}, {0.75728, -0.06656, 0.45135}, {0.76209, -0.06453, 0.43250},
    {0.76616, -0.06249, 0.41451}, {0.76990, -0.06046, 0.39705}, {0.77334, -0.05835, 0.38038},
    {0.77650, -0.05612, 0.36453}, {0.77934, -0.05390, 0.34929}, {0.78214, -0.05159, 0.33447},
    {0.78495, -0.04919, 0.32031}, {0.78732, -0.04660, 0.30694}, {0.78980, -0.04409, 0.29376},
    {0.79245, -0.04133, 0.28119}, {0.79502, -0.03835, 0.26903}, {0.79706, -0.03500, 0.25765},
    {0.79938, -0.03151, 0.24642}, {0.80116, -0.02721, 0.23605}, {0.80364, -0.02228, 0.22580},
    {0.80529, -0.01553, 0.21630}, {0.80743, 0.00008, 0.20694}
},
{
    {0.60446, -0.07481, 0.72541}, {0.63433, -0.07540, 0.70789}, {0.66433, -0.07476, 0.68481},
    {0.68668, -0.07333, 0.66418}, {0.70457, -0.07166, 0.64427}, {0.71943, -0.06986, 0.62480},
    {0.73164, -0.06808, 0.60530}, {0.74200, -0.06634, 0.58563}, {0.75088, -0.06465, 0.56577},
    {0.75865, -0.06301, 0.54574}, {0.76531, -0.06140, 0.52594}, {0.77096, -0.05975, 0.50704},
    {0.77604, -0.05817, 0.48812}, {0.78047, -0.05654, 0.46984}, {0.78462, -0.05499, 0.45179},
    {0.78846, -0.05337, 0.43440}, {0.79171, -0.05168, 0.41775}, {0.79502, -0.04998, 0.40149},
    {0.79763, -0.04815, 0.38649}, {0.80039, -0.04639, 0.37146}, {0.80272, -0.04448, 0.35737},
    {0.80522, -0.04252, 0.34354}, {0.80755, -0.04044, 0.33020}, {0.80954, -0.03811, 0.31798},
    {0.81129, -0.03571, 0.30606}, {0.81256, -0.03305, 0.29475}, {0.81479, -0.03031, 0.28330},
    {0.81667, -0.02709, 0.27265}, {0.81865, -0.02350, 0.26226}, {0.82066, -0.01932, 0.25205},
    {0.82209, -0.01368, 0.24262}, {0.82367, 0.00002, 0.23366}
},
{
    {0.63783, -0.05754, 0.73110}, {0.66580, -0.05784, 0.71450}, {0.69379, -0.05736, 0.69314},
    {0.71493, -0.05642, 0.67318}, {0.73184, -0.05529, 0.65409}, {0.74566, -0.05410, 0.63543},
    {0.75715, -0.05290, 0.61665}, {0.76684, -0.05171, 0.59776}, {0.77502, -0.05055, 0.57875},
    {0.78192, -0.04938, 0.56005}, {0.78802, -0.04824, 0.54142}, {0.79346, -0.04716, 0.52249},
    {0.79805, -0.04606, 0.50438}, {0.80183, -0.04480, 0.48754}, {0.80557, -0.04364, 0.47040},
    {0.80900, -0.04245, 0.45369}, {0.81218, -0.04128, 0.43725}, {0.81485, -0.03999, 0.42211},
    {0.81744, -0.03873, 0.40702}, {0.81962, -0.03727, 0.39305}, {0.82179, -0.03580, 0.37945},
    {0.82385, -0.03429, 0.36620}, {0.82598, -0.03268, 0.35338}, {0.82778, -0.03089, 0.34141},
    {0.82910, -0.02898, 0.33004}, {0.83055, -0.02688, 0.31907}, {0.83184, -0.02463, 0.30846},
    {0.83322, -0.02206, 0.29842}, {0.83509, -0.01925, 0.28818}, {0.83626, -0.01574, 0.27866},
    {0.83803, -0.01128, 0.26919}, {0.83936, -0.00001, 0.26038}
},
{
    {0.66881, -0.03902, 0.73750}, {0.69495, -0.03917, 0.72144}, {0.72127, -0.03890, 0.70116},
    {0.74089, -0.03836, 0.68204}, {0.75676, -0.03768, 0.66379}, {0.76971, -0.03701, 0.64562},
    {0.78031, -0.03631, 0.62792}, {0.78909, -0.03559, 0.61014}, {0.79688, -0.03488, 0.59193},
    {0.80339, -0.03421, 0.57344}, {0.80909, -0.03354, 0.55536}, {0.81375, -0.03284, 0.53793},
    {0.81807, -0.03212, 0.52063}, {0.82174, -0.03140, 0.50374}, {0.82535, -0.03066, 0.48732},
    {0.82861, -0.02992, 0.47141}, {0.83083, -0.02915, 0.45633}, {0.83320, -0.02828, 0.44181},
    {0.83559, -0.02745, 0.42730}, {0.83745, -0.02649, 0.41385}, {0.84005, -0.02553, 0.40059},
    {0.84070, -0.02440, 0.38881}, {0.84245, -0.02332, 0.37643}, {0.84401, -0.02210, 0.36506},
    {0.84503, -0.02076, 0.35431}, {0.84665, -0.01940, 0.34339}, {0.84777, -0.01782, 0.33324},
    {0.84905, -0.01601, 0.32345}, {0.84999, -0.01390, 0.31425}, {0.85072, -0.01143, 0.30523},
    {0.85236, -0.00812, 0.29632}, {0.85341, 0.00002, 0.28782}
},
{
    {0.69740, -0.01972, 0.74339}, {0.72178, -0.01980, 0.72804}, {0.74630, -0.01969, 0.70892},
    {0.76475, -0.01946, 0.69082}, {0.77931, -0.01916, 0.67367}, {0.79173, -0.01888, 0.65573},
    {0.80171, -0.01860, 0.63826}, {0.81003, -0.01833, 0.62090}, {0.81725, -0.01802, 0.60355},
    {0.82283, -0.01768, 0.58677}, {0.82781, -0.01737, 0.56971}, {0.83251, -0.01712, 0.55229},
    {0.83628, -0.01681, 0.53567}, {0.83983, -0.01645, 0.51970}, {0.84284, -0.01610, 0.50407},
    {0.84559, -0.01577, 0.48879}, {0.84790, -0.01538, 0.47446}, {0.85013, -0.01498, 0.46044},
    {0.85214, -0.01455, 0.44710}, {0.85384, -0.01407, 0.43403}, {0.85537, -0.01356, 0.42174},
    {0.85665, -0.01304, 0.41005}, {0.85860, -0.01251, 0.39844}, {0.85961, -0.01189, 0.38755},
    {0.86039, -0.01119, 0.37756}, {0.86098, -0.01040, 0.36805}, {0.86192, -0.00953, 0.35846},
    {0.86278, -0.00857, 0.34911}, {0.86425, -0.00751, 0.33962}, {0.86491, -0.00614, 0.33144},
    {0.86581, -0.00433, 0.32300}, {0.86677, 0.00002, 0.31508}
},
{
    {0.72363, 0.00000, 0.74973}, {0.74617, -0.00002, 0.73527}, {0.76908, 0.00000, 0.71668},
    {0.78618, -0.00002, 0.69953}, {0.79981, -0.00003, 0.68291}, {0.81110, -0.00001, 0.66623},
    {0.82060, -0.00001, 0.64940}, {0.82853, -0.00004, 0.63212}, {0.83504, -0.00002, 0.61545},
    {0.84058, -0.00003, 0.59849}, {0.84521, -0.00005, 0.58226}, {0.84932, -0.00002, 0.56605},
    {0.85275, -0.00000, 0.55034}, {0.85605, -0.00001, 0.53461}, {0.85877, -0.00001, 0.51974},
    {0.86129, -0.00001, 0.50561}, {0.86320, -0.00005, 0.49191}, {0.86521, -0.00004, 0.47875},
    {0.86654, -0.00002, 0.46632}, {0.86846, -0.00002, 0.45401}, {0.86997, -0.00001, 0.44209},
    {0.87153, 0.00003, 0.43044}, {0.87288, 0.00002, 0.42005}, {0.87352, 0.00003, 0.40990},
    {0.87465, 0.00004, 0.39997}, {0.87549, 0.00003, 0.39069}, {0.87626, 0.00006, 0.38171},
    {0.87676, 0.00004, 0.37342}, {0.87714, 0.00006, 0.36523}, {0.87859, 0.00006, 0.35675},
    {0.87952, 0.00009, 0.34897}, {0.87958, 0.00003, 0.34187}
}
};
 
const float Sheen_LTC_Approx[Sheen_LTC_Size][Sheen_LTC_Size][3] =
{
{
    {0.10027, -0.00000, 0.33971}, {0.10760, -0.00000, 0.35542}, {0.11991, 0.00001, 0.30888},
    {0.13148, 0.00001, 0.23195}, {0.14227, 0.00001, 0.15949}, {0.15231, -0.00000, 0.10356},
    {0.16168, -0.00000, 0.06466}, {0.17044, 0.00000, 0.03925}, {0.17867, 0.00001, 0.02334},
    {0.18645, 0.00000, 0.01366}, {0.19382, -0.00000, 0.00790}, {0.20084, -0.00001, 0.00452},
    {0.20754, 0.00001, 0.00257}, {0.21395, 0.00000, 0.00145}, {0.22011, 0.00000, 0.00081},
    {0.22603, -0.00000, 0.00045}, {0.23174, -0.00001, 0.00025}, {0.23726, 0.00000, 0.00014},
    {0.24259, -0.00001, 0.00008}, {0.24777, -0.00001, 0.00004}, {0.25279, -0.00001, 0.00002},
    {0.25768, 0.00001, 0.00001}, {0.26243, 0.00001, 0.00001}, {0.26707, -0.00000, 0.00000},
    {0.27159, -0.00000, 0.00000}, {0.27601, -0.00000, 0.00000}, {0.28033, 0.00000, 0.00000},
    {0.28456, -0.00000, 0.00000}, {0.28870, -0.00001, 0.00000}, {0.29276, -0.00000, 0.00000},
    {0.29676, 0.00000, 0.00000}, {0.30067, -0.00001, 0.00000}
},
{
    {0.10068, -0.00013, 0.33844}, {0.10802, -0.00001, 0.35438}, {0.12031, -0.00000, 0.30859},
    {0.13190, 0.00001, 0.23230}, {0.14269, 0.00000, 0.16016}, {0.15274, 0.00001, 0.10429},
    {0.16211, -0.00000, 0.06529}, {0.17088, -0.00000, 0.03975}, {0.17912, -0.00000, 0.02370},
    {0.18691, -0.00001, 0.01391}, {0.19429, -0.00000, 0.00807}, {0.20132, -0.00000, 0.00463},
    {0.20803, 0.00001, 0.00264}, {0.21445, 0.00000, 0.00149}, {0.22061, 0.00000, 0.00084},
    {0.22655, -0.00000, 0.00047}, {0.23226, -0.00000, 0.00026}, {0.23779, -0.00001, 0.00015},
    {0.24314, -0.00002, 0.00008}, {0.24832, -0.00001, 0.00004}, {0.25336, -0.00002, 0.00002},
    {0.25824, -0.00003, 0.00001}, {0.26301, -0.00005, 0.00001}, {0.26766, -0.00008, 0.00000},
    {0.27220, -0.00012, 0.00000}, {0.27665, -0.00019, 0.00000}, {0.28101, -0.00026, 0.00000},
    {0.28532, -0.00041, 0.00000}, {0.28960, -0.00058, 0.00000}, {0.29389, -0.00080, 0.00000},
    {0.29830, -0.00096, 0.00000}, {0.30309, 0.00000, 0.00000}
},
{
    {0.09988, -0.00743, 0.33595}, {0.10928, -0.00078, 0.35135}, {0.12169, -0.00015, 0.30790},
    {0.13330, -0.00006, 0.23367}, {0.14412, -0.00003, 0.16253}, {0.15420, -0.00004, 0.10680},
    {0.16360, -0.00002, 0.06750}, {0.17240, -0.00004, 0.04148}, {0.18068, -0.00003, 0.02497},
    {0.18850, -0.00004, 0.01480}, {0.19591, -0.00005, 0.00867}, {0.20297, -0.00005, 0.00503},
    {0.20970, -0.00008, 0.00289}, {0.21616, -0.00012, 0.00165}, {0.22235, -0.00015, 0.00094},
    {0.22831, -0.00020, 0.00053}, {0.23407, -0.00028, 0.00030}, {0.23963, -0.00039, 0.00017},
    {0.24503, -0.00056, 0.00009}, {0.25028, -0.00084, 0.00005}, {0.25541, -0.00124, 0.00003},
    {0.26045, -0.00184, 0.00002}, {0.26545, -0.00274, 0.00001}, {0.27049, -0.00410, 0.00001},
    {0.27569, -0.00612, 0.00000}, {0.28127, -0.00908, 0.00000}, {0.28762, -0.01335, 0.00000},
    {0.29542, -0.01917, 0.00000}, {0.30593, -0.02649, 0.00000}, {0.32153, -0.03397, 0.00000},
    {0.34697, -0.03669, 0.00000}, {0.39704, -0.00000, 0.00000}
},
{
    {0.08375, -0.07516, 0.33643}, {0.10999, -0.00776, 0.34873}, {0.12392, -0.00160, 0.30771},
    {0.13571, -0.00070, 0.23660}, {0.14661, -0.00044, 0.16701}, {0.15676, -0.00034, 0.11147},
    {0.16621, -0.00032, 0.07157}, {0.17508, -0.00029, 0.04470}, {0.18341, -0.00033, 0.02736},
    {0.19128, -0.00038, 0.01648}, {0.19876, -0.00045, 0.00981}, {0.20587, -0.00057, 0.00579},
    {0.21267, -0.00074, 0.00339}, {0.21918, -0.00096, 0.00197}, {0.22544, -0.00129, 0.00114},
    {0.23150, -0.00179, 0.00066}, {0.23736, -0.00249, 0.00038}, {0.24308, -0.00352, 0.00022},
    {0.24871, -0.00501, 0.00012}, {0.25433, -0.00721, 0.00007}, {0.26003, -0.01042, 0.00004},
    {0.26604, -0.01512, 0.00002}, {0.27264, -0.02192, 0.00001}, {0.28039, -0.03158, 0.00001},
    {0.29024, -0.04491, 0.00000}, {0.30382, -0.06232, 0.00000}, {0.32395, -0.08307, 0.00000},
    {0.35533, -0.10404, 0.00000}, {0.40491, -0.11883, 0.00000}, {0.47816, -0.11902, 0.00000},
    {0.56774, -0.09644, 0.00000}, {0.66332, -0.00000, 0.00000}
},
{
    {0.05655, -0.31167, 0.32420}, {0.10687, -0.03376, 0.35090}, {0.12655, -0.00804, 0.31009},
    {0.13914, -0.00363, 0.24233}, {0.15029, -0.00227, 0.17455}, {0.16057, -0.00177, 0.11907},
    {0.17014, -0.00156, 0.07820}, {0.17910, -0.00153, 0.04999}, {0.18752, -0.00162, 0.03132},
    {0.19549, -0.00182, 0.01932}, {0.20304, -0.00213, 0.01178}, {0.21025, -0.00261, 0.00712},
    {0.21716, -0.00326, 0.00427}, {0.22380, -0.00420, 0.00255}, {0.23022, -0.00554, 0.00151},
    {0.23648, -0.00740, 0.00089}, {0.24264, -0.01005, 0.00053}, {0.24879, -0.01381, 0.00031},
    {0.25510, -0.01911, 0.00018}, {0.26177, -0.02658, 0.00011}, {0.26918, -0.03698, 0.00006},
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