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authorClément Foucault <foucault.clem@gmail.com>2019-03-11 15:11:46 +0300
committerClément Foucault <foucault.clem@gmail.com>2019-03-11 15:12:48 +0300
commita808b58e07dd8cd7941f6e901de6bdd8fce66f59 (patch)
tree283c0ea85ba1472e6492a0b63238e5f1e69b61aa /source/blender/draw/engines/eevee/eevee_lut.h
parent881782213d8612123e9e35d679d49ea7f9b1bb91 (diff)
Eevee: Update LTC code
Main change are: - the fresnel LUT is separated from the main GGX LUT. - LUTs use sqrt(1.0 - NV) as roughness remapping. Improving precision and removes needs for acos(). - LTC LUT is normalized by matrix middle component. Improving precision.
Diffstat (limited to 'source/blender/draw/engines/eevee/eevee_lut.h')
-rw-r--r--source/blender/draw/engines/eevee/eevee_lut.h5355
1 files changed, 3073 insertions, 2282 deletions
diff --git a/source/blender/draw/engines/eevee/eevee_lut.h b/source/blender/draw/engines/eevee/eevee_lut.h
index e88ffc6ccb9..d3ba50ba71b 100644
--- a/source/blender/draw/engines/eevee/eevee_lut.h
+++ b/source/blender/draw/engines/eevee/eevee_lut.h
@@ -25,2289 +25,3080 @@
#define __EEVEE_LUT_H__
static float ltc_mat_ggx[64 * 64 * 4] = {
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+ 0.806733, -0.263479, 0.346802, 1.062220, 0.843466, -0.254575, 0.321368, 1.134770,
+ 0.873008, -0.242749, 0.292110, 1.207120, 0.908438, -0.227250, 0.262143, 1.274650,
+ 0.936321, -0.207621, 0.228876, 1.332030, 0.950353, -0.187932, 0.194840, 1.404390,
+ 0.964420, -0.165154, 0.163178, 1.473200, 0.979856, -0.139302, 0.127531, 1.535740,
+ 0.982561, -0.111340, 0.090346, 1.599820, 0.996389, -0.080812, 0.048901, 1.657700,
};
-static float ltc_mag_ggx[64 * 64] = {
- 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
- 1.000000, 1.000000, 1.000000, 0.999995, 0.999990, 0.999971, 0.999937, 0.999853, 0.999670,
- 0.999138, 0.996746, 0.979578, 0.979309, 0.978836, 0.977972, 0.976223, 0.972205, 0.962466,
- 0.953919, 0.949829, 0.942492, 0.929870, 0.921319, 0.911112, 0.896015, 0.885105, 0.869971,
- 0.855017, 0.838328, 0.821241, 0.802352, 0.783873, 0.763309, 0.743058, 0.721929, 0.699755,
- 0.677721, 0.655456, 0.632681, 0.609629, 0.586831, 0.564287, 0.541772, 0.519428, 0.497353,
- 0.475624, 0.454606, 0.434099, 0.414085, 0.394605, 0.375698, 0.357386, 0.339871, 0.323085,
- 0.306905, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
- 0.999999, 0.999999, 0.999998, 0.999995, 0.999990, 0.999980, 0.999959, 0.999923, 0.999842,
- 0.999660, 0.999119, 0.996613, 0.981824, 0.979298, 0.978826, 0.977957, 0.976184, 0.972091,
- 0.962188, 0.953875, 0.949746, 0.942335, 0.930166, 0.921211, 0.910927, 0.896979, 0.884940,
- 0.869864, 0.854835, 0.838200, 0.821049, 0.802552, 0.783659, 0.763512, 0.742927, 0.721715,
- 0.699938, 0.677775, 0.655246, 0.632555, 0.609805, 0.586996, 0.564225, 0.541606, 0.519346,
- 0.497419, 0.475863, 0.454738, 0.434099, 0.414003, 0.394547, 0.375747, 0.357564, 0.340012,
- 0.323099, 0.306861, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
- 1.000000, 1.000000, 0.999999, 0.999998, 0.999995, 0.999991, 0.999979, 0.999959, 0.999917,
- 0.999839, 0.999648, 0.999074, 0.996168, 0.983770, 0.979279, 0.978800, 0.977905, 0.976058,
- 0.971727, 0.962120, 0.953901, 0.949485, 0.941859, 0.930911, 0.920853, 0.910394, 0.897600,
- 0.884427, 0.870101, 0.854522, 0.838325, 0.820754, 0.802707, 0.783223, 0.763605, 0.742872,
- 0.721565, 0.699935, 0.677726, 0.655242, 0.632580, 0.609766, 0.586946, 0.564275, 0.541759,
- 0.519467, 0.497478, 0.475886, 0.454794, 0.434233, 0.414207, 0.394751, 0.375892, 0.357683,
- 0.340146, 0.323287, 0.307095, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
- 1.000000, 0.999999, 0.999999, 0.999998, 0.999996, 0.999992, 0.999987, 0.999975, 0.999953,
- 0.999913, 0.999830, 0.999630, 0.998993, 0.995279, 0.985142, 0.979252, 0.978754, 0.977821,
- 0.975838, 0.971088, 0.962563, 0.954785, 0.949048, 0.941052, 0.931420, 0.920812, 0.909750,
- 0.897867, 0.883856, 0.870091, 0.854353, 0.838166, 0.820661, 0.802465, 0.783308, 0.763346,
- 0.742734, 0.721608, 0.699747, 0.677626, 0.655245, 0.632547, 0.609793, 0.587044, 0.564340,
- 0.541779, 0.519529, 0.497633, 0.476114, 0.455030, 0.434430, 0.414406, 0.394974, 0.376154,
- 0.357979, 0.340443, 0.323572, 0.307379, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000,
- 1.000000, 1.000000, 1.000000, 0.999998, 0.999998, 0.999996, 0.999991, 0.999984, 0.999970,
- 0.999946, 0.999905, 0.999815, 0.999599, 0.998856, 0.993704, 0.986135, 0.979212, 0.978690,
- 0.977691, 0.975504, 0.970133, 0.962951, 0.955649, 0.948405, 0.940418, 0.931660, 0.920881,
- 0.909376, 0.897785, 0.883844, 0.869756, 0.854326, 0.837732, 0.820617, 0.802053, 0.783195,
- 0.763119, 0.742610, 0.721344, 0.699709, 0.677624, 0.655114, 0.632523, 0.609812, 0.587052,
- 0.564417, 0.541966, 0.519751, 0.497824, 0.476309, 0.455271, 0.434735, 0.414736, 0.395317,
- 0.376524, 0.358364, 0.340852, 0.323988, 0.307786, 1.000000, 1.000000, 1.000000, 1.000000,
- 1.000000, 1.000000, 0.999999, 0.999999, 0.999997, 0.999996, 0.999994, 0.999989, 0.999980,
- 0.999965, 0.999940, 0.999895, 0.999796, 0.999559, 0.998638, 0.992774, 0.986878, 0.980297,
- 0.978602, 0.977514, 0.975026, 0.969169, 0.963214, 0.956267, 0.947689, 0.940054, 0.931637,
- 0.920678, 0.908990, 0.897349, 0.883905, 0.869139, 0.854177, 0.837476, 0.820295, 0.801977,
- 0.782798, 0.762978, 0.742418, 0.721193, 0.699560, 0.677402, 0.655108, 0.632543, 0.609804,
- 0.587158, 0.564557, 0.542096, 0.519908, 0.498088, 0.476632, 0.455623, 0.435104, 0.415161,
- 0.395783, 0.377005, 0.358843, 0.341345, 0.324529, 0.308355, 1.000000, 1.000000, 1.000000,
- 1.000000, 1.000000, 0.999999, 0.999999, 0.999998, 0.999997, 0.999992, 0.999991, 0.999985,
- 0.999977, 0.999959, 0.999935, 0.999878, 0.999773, 0.999505, 0.998284, 0.992353, 0.987457,
- 0.981665, 0.978492, 0.977277, 0.974360, 0.968716, 0.963373, 0.956629, 0.947397, 0.939657,
- 0.931339, 0.920588, 0.908975, 0.896712, 0.883763, 0.868890, 0.853731, 0.837333, 0.819702,
- 0.801738, 0.782454, 0.762712, 0.742024, 0.721037, 0.699325, 0.677359, 0.655030, 0.632439,
- 0.609869, 0.587221, 0.564663, 0.542328, 0.520220, 0.498400, 0.476997, 0.456053, 0.435593,
- 0.415658, 0.396300, 0.377577, 0.359473, 0.342004, 0.325170, 0.308997, 1.000000, 1.000000,
- 1.000000, 1.000000, 1.000000, 0.999999, 0.999998, 0.999998, 0.999996, 0.999993, 0.999988,
- 0.999981, 0.999971, 0.999951, 0.999921, 0.999863, 0.999748, 0.999433, 0.997681, 0.992120,
- 0.987920, 0.982864, 0.978353, 0.976961, 0.973451, 0.968396, 0.963400, 0.956680, 0.947529,
- 0.939151, 0.930747, 0.920511, 0.908867, 0.896142, 0.883335, 0.868764, 0.853025, 0.837015,
- 0.819452, 0.801249, 0.782176, 0.762345, 0.741843, 0.720721, 0.699135, 0.677194, 0.654889,
- 0.632487, 0.609902, 0.587328, 0.564891, 0.542567, 0.520501, 0.498793, 0.477442, 0.456528,
- 0.436131, 0.416273, 0.396980, 0.378276, 0.360176, 0.342738, 0.325950, 0.309803, 1.000000,
- 1.000000, 1.000000, 1.000000, 0.999999, 0.999998, 0.999999, 0.999997, 0.999995, 0.999991,
- 0.999985, 0.999978, 0.999963, 0.999942, 0.999907, 0.999844, 0.999715, 0.999332, 0.996612,
- 0.991974, 0.988297, 0.983843, 0.978349, 0.976540, 0.972351, 0.968109, 0.963280, 0.956464,
- 0.947779, 0.938754, 0.929952, 0.920253, 0.908530, 0.895785, 0.882679, 0.868456, 0.852669,
- 0.836406, 0.819138, 0.800708, 0.781803, 0.761855, 0.741534, 0.720405, 0.698959, 0.676964,
- 0.654827, 0.632411, 0.609922, 0.587477, 0.565051, 0.542829, 0.520889, 0.499225, 0.477951,
- 0.457148, 0.436792, 0.416963, 0.397723, 0.379068, 0.361025, 0.343608, 0.326842, 0.310718,
- 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 0.999999, 0.999998, 0.999995, 0.999994,
- 0.999990, 0.999983, 0.999971, 0.999954, 0.999932, 0.999892, 0.999820, 0.999675, 0.999190,
- 0.995492, 0.991911, 0.988610, 0.984662, 0.979221, 0.975975, 0.971671, 0.967788, 0.963002,
- 0.955938, 0.947965, 0.938692, 0.929309, 0.919781, 0.908268, 0.895518, 0.882022, 0.867884,
- 0.852346, 0.835746, 0.818607, 0.800261, 0.781335, 0.761539, 0.741063, 0.720116, 0.698617,
- 0.676815, 0.654700, 0.632389, 0.610037, 0.587591, 0.565328, 0.543205, 0.521293, 0.499745,
- 0.478562, 0.457776, 0.437515, 0.417776, 0.398586, 0.379963, 0.361984, 0.344616, 0.327857,
- 0.311751, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 0.999999, 0.999997, 0.999996,
- 0.999992, 0.999986, 0.999977, 0.999965, 0.999947, 0.999916, 0.999873, 0.999794, 0.999628,
- 0.998966, 0.994914, 0.991849, 0.988873, 0.985288, 0.980170, 0.975207, 0.971156, 0.967476,
- 0.962538, 0.955601, 0.947978, 0.938542, 0.928618, 0.919056, 0.907890, 0.895098, 0.881352,
- 0.867263, 0.851806, 0.835168, 0.818003, 0.799785, 0.780633, 0.761080, 0.740618, 0.719795,
- 0.698332, 0.676629, 0.654544, 0.632411, 0.610042, 0.587805, 0.565593, 0.543549, 0.521793,
- 0.500309, 0.479195, 0.458546, 0.438353, 0.418669, 0.399557, 0.381012, 0.363049, 0.345710,
- 0.329006, 0.312948, 1.000000, 1.000000, 1.000000, 1.000000, 1.000000, 0.999999, 0.999997,
- 0.999993, 0.999990, 0.999984, 0.999972, 0.999960, 0.999939, 0.999906, 0.999853, 0.999765,
- 0.999567, 0.998603, 0.994519, 0.991794, 0.989089, 0.985781, 0.980956, 0.974161, 0.970688,
- 0.967064, 0.961890, 0.955292, 0.947848, 0.938359, 0.928226, 0.918214, 0.907361, 0.894702,
- 0.880834, 0.866500, 0.851209, 0.834627, 0.817211, 0.799250, 0.780131, 0.760512, 0.740218,
- 0.719264, 0.698063, 0.676325, 0.654450, 0.632316, 0.610170, 0.587988, 0.565891, 0.544013,
- 0.522305, 0.500958, 0.479971, 0.459376, 0.439271, 0.419699, 0.400620, 0.382126, 0.364246,
- 0.346967, 0.330273, 0.314236, 1.000000, 1.000000, 1.000000, 1.000000, 0.999999, 0.999998,
- 0.999996, 0.999994, 0.999988, 0.999979, 0.999967, 0.999952, 0.999924, 0.999888, 0.999833,
- 0.999733, 0.999490, 0.997946, 0.994192, 0.991812, 0.989274, 0.986224, 0.981547, 0.974000,
- 0.970269, 0.966545, 0.961031, 0.954921, 0.947416, 0.938226, 0.928003, 0.917390, 0.906553,
- 0.894191, 0.880329, 0.865540, 0.850476, 0.834058, 0.816467, 0.798509, 0.779561, 0.759828,
- 0.739738, 0.718878, 0.697718, 0.676138, 0.654342, 0.632317, 0.610292, 0.588207, 0.566289,
- 0.544443, 0.522927, 0.501674, 0.480765, 0.460314, 0.440304, 0.420782, 0.401824, 0.383410,
- 0.365538, 0.348312, 0.331692, 0.315688, 1.000000, 1.000000, 1.000000, 1.000000, 0.999999,
- 0.999998, 0.999996, 0.999993, 0.999985, 0.999976, 0.999961, 0.999943, 0.999913, 0.999872,
- 0.999807, 0.999691, 0.999390, 0.996859, 0.994003, 0.991808, 0.989423, 0.986523, 0.981783,
- 0.974511, 0.969791, 0.965933, 0.960377, 0.954434, 0.946803, 0.938026, 0.927620, 0.916545,
- 0.905639, 0.893489, 0.879820, 0.864852, 0.849513, 0.833311, 0.815878, 0.797621, 0.778938,
- 0.759253, 0.739142, 0.718479, 0.697274, 0.675902, 0.654135, 0.632357, 0.610364, 0.588497,
- 0.566631, 0.545012, 0.523579, 0.502429, 0.481680, 0.461304, 0.441425, 0.422039, 0.403135,
- 0.384779, 0.366976, 0.349796, 0.333231, 0.317277, 1.000000, 1.000000, 1.000000, 1.000000,
- 0.999999, 0.999998, 0.999996, 0.999991, 0.999983, 0.999974, 0.999956, 0.999932, 0.999901,
- 0.999852, 0.999780, 0.999646, 0.999248, 0.996193, 0.993784, 0.991782, 0.989539, 0.986694,
- 0.981765, 0.975135, 0.969309, 0.965128, 0.959788, 0.953831, 0.946255, 0.937664, 0.927351,
- 0.916044, 0.904715, 0.892528, 0.879111, 0.864256, 0.848452, 0.832434, 0.815129, 0.796806,
- 0.778118, 0.758668, 0.738466, 0.718024, 0.696958, 0.675642, 0.654067, 0.632325, 0.610546,
- 0.588786, 0.567123, 0.545617, 0.524312, 0.503348, 0.482637, 0.462418, 0.442657, 0.423338,
- 0.404564, 0.386277, 0.368545, 0.351448, 0.334906, 0.318961, 1.000000, 1.000000, 1.000000,
- 0.999999, 0.999999, 0.999998, 0.999994, 0.999989, 0.999979, 0.999968, 0.999949, 0.999921,
- 0.999886, 0.999833, 0.999747, 0.999596, 0.999029, 0.995749, 0.993677, 0.991724, 0.989620,
- 0.986723, 0.981515, 0.975767, 0.969056, 0.964124, 0.959142, 0.953036, 0.945650, 0.937022,
- 0.926971, 0.915515, 0.903584, 0.891603, 0.878212, 0.863472, 0.847652, 0.831398, 0.814299,
- 0.796105, 0.777231, 0.757977, 0.737895, 0.717415, 0.696595, 0.675317, 0.653980, 0.632343,
- 0.610735, 0.589076, 0.567620, 0.546251, 0.525165, 0.504255, 0.483759, 0.463666, 0.443987,
- 0.424783, 0.406042, 0.387891, 0.370293, 0.353221, 0.336715, 0.320806, 1.000000, 1.000000,
- 1.000000, 0.999999, 0.999998, 0.999998, 0.999993, 0.999987, 0.999977, 0.999964, 0.999943,
- 0.999911, 0.999867, 0.999807, 0.999714, 0.999531, 0.998645, 0.995399, 0.993512, 0.991717,
- 0.989661, 0.986652, 0.981559, 0.976183, 0.969411, 0.963317, 0.958457, 0.952091, 0.944951,
- 0.936307, 0.926454, 0.915043, 0.902668, 0.890462, 0.877245, 0.862672, 0.846823, 0.830201,
- 0.813293, 0.795306, 0.776393, 0.757199, 0.737324, 0.716808, 0.696187, 0.675094, 0.653814,
- 0.632453, 0.610885, 0.589483, 0.568099, 0.546975, 0.525953, 0.505268, 0.484936, 0.464988,
- 0.445458, 0.426314, 0.407750, 0.389670, 0.372098, 0.355105, 0.338682, 0.322825, 1.000000,
- 1.000000, 1.000000, 1.000000, 0.999999, 0.999996, 0.999992, 0.999983, 0.999976, 0.999959,
- 0.999933, 0.999898, 0.999849, 0.999780, 0.999676, 0.999454, 0.997884, 0.995166, 0.993394,
- 0.991723, 0.989654, 0.986389, 0.981632, 0.976607, 0.969701, 0.962555, 0.957605, 0.951232,
- 0.944099, 0.935556, 0.925699, 0.914492, 0.902027, 0.889116, 0.876093, 0.861649, 0.845956,
- 0.829238, 0.812220, 0.794420, 0.775657, 0.756265, 0.736673, 0.716372, 0.695669, 0.674886,
- 0.653728, 0.632568, 0.611217, 0.589929, 0.568783, 0.547752, 0.526931, 0.506425, 0.486238,
- 0.466425, 0.446945, 0.428026, 0.409536, 0.391551, 0.374087, 0.357155, 0.340787, 0.324974,
- 1.000000, 1.000000, 1.000000, 1.000000, 0.999998, 0.999996, 0.999990, 0.999984, 0.999970,
- 0.999952, 0.999925, 0.999886, 0.999831, 0.999757, 0.999633, 0.999356, 0.997017, 0.994868,
- 0.993337, 0.991710, 0.989580, 0.985848, 0.981640, 0.976711, 0.969755, 0.962166, 0.956609,
- 0.950365, 0.943026, 0.934693, 0.924880, 0.913729, 0.901350, 0.887966, 0.874726, 0.860474,
- 0.844905, 0.828269, 0.810905, 0.793364, 0.774812, 0.755478, 0.735886, 0.715847, 0.695231,
- 0.674537, 0.653667, 0.632527, 0.611475, 0.590363, 0.569462, 0.548571, 0.527976, 0.507634,
- 0.487632, 0.467901, 0.448680, 0.429833, 0.411467, 0.393568, 0.376197, 0.359374, 0.343034,
- 0.327273, 1.000000, 1.000000, 1.000000, 0.999999, 0.999998, 0.999993, 0.999989, 0.999980,
- 0.999965, 0.999945, 0.999913, 0.999869, 0.999810, 0.999723, 0.999583, 0.999213, 0.996540,
- 0.994740, 0.993244, 0.991671, 0.989411, 0.985533, 0.981616, 0.976847, 0.969968, 0.962315,
- 0.955468, 0.949420, 0.942016, 0.933617, 0.923949, 0.912899, 0.900495, 0.887022, 0.873283,
- 0.859153, 0.843830, 0.827325, 0.809888, 0.792172, 0.773832, 0.754686, 0.735035, 0.715297,
- 0.694955, 0.674242, 0.653660, 0.632752, 0.611804, 0.590993, 0.570154, 0.549539, 0.529087,
- 0.508974, 0.489030, 0.469599, 0.450466, 0.431761, 0.413508, 0.395761, 0.378480, 0.361679,
- 0.345465, 0.329752, 1.000000, 1.000000, 1.000000, 1.000000, 0.999997, 0.999994, 0.999987,
- 0.999978, 0.999961, 0.999936, 0.999903, 0.999855, 0.999786, 0.999689, 0.999527, 0.998988,
- 0.996137, 0.994527, 0.993108, 0.991599, 0.989084, 0.985308, 0.981527, 0.976677, 0.970079,
- 0.962535, 0.954490, 0.948271, 0.940942, 0.932422, 0.922836, 0.911896, 0.899632, 0.886118,
- 0.871864, 0.857719, 0.842536, 0.826163, 0.808849, 0.790860, 0.772802, 0.753860, 0.734335,
- 0.714582, 0.694543, 0.674071, 0.653544, 0.632922, 0.612153, 0.591573, 0.570951, 0.550520,
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- 0.943681, 0.943652, 0.943623, 0.943589, 0.943554, 0.943518, 0.943479, 0.943438, 0.943396,
- 0.943351, 0.943305, 0.943257, 0.943207, 0.943156, 0.943104, 0.943049, 0.942993, 0.942936,
- 0.942877,
+static float ltc_mag_ggx[64 * 64 * 2] = {
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.999998, 0.000000,
+ 0.999994, 0.000000, 0.999989, 0.000000, 0.999973, 0.000000, 0.999947, 0.000000,
+ 0.999894, 0.000001, 0.999798, 0.000001, 0.999617, 0.000003, 0.999234, 0.000008,
+ 0.998258, 0.000015, 0.995040, 0.000027, 0.980816, 0.000024, 0.967553, 0.000002,
+ 0.966877, 0.000004, 0.965752, 0.000007, 0.963820, 0.000013, 0.960306, 0.000020,
+ 0.953619, 0.000028, 0.941103, 0.000028, 0.926619, 0.000016, 0.920983, 0.000024,
+ 0.912293, 0.000031, 0.899277, 0.000035, 0.880884, 0.000026, 0.870399, 0.000034,
+ 0.856138, 0.000039, 0.837436, 0.000037, 0.820973, 0.000039, 0.803583, 0.000043,
+ 0.782168, 0.000040, 0.764107, 0.000045, 0.743092, 0.000046, 0.721626, 0.000046,
+ 0.700375, 0.000048, 0.677334, 0.000046, 0.655702, 0.000048, 0.632059, 0.000046,
+ 0.610125, 0.000048, 0.586530, 0.000046, 0.564508, 0.000048, 0.541405, 0.000046,
+ 0.519556, 0.000046, 0.497292, 0.000045, 0.475898, 0.000045, 0.454722, 0.000043,
+ 0.434042, 0.000042, 0.414126, 0.000041, 0.394387, 0.000040, 0.375841, 0.000039,
+ 0.357219, 0.000037, 0.340084, 0.000037, 0.322714, 0.000034, 0.306974, 0.000034,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, 0.999996, 0.000000,
+ 0.999991, 0.000000, 0.999983, 0.000000, 0.999968, 0.000000, 0.999940, 0.000000,
+ 0.999891, 0.000001, 0.999797, 0.000001, 0.999617, 0.000003, 0.999227, 0.000008,
+ 0.998239, 0.000016, 0.994937, 0.000027, 0.980225, 0.000021, 0.967549, 0.000002,
+ 0.966865, 0.000004, 0.965739, 0.000008, 0.963794, 0.000013, 0.960244, 0.000021,
+ 0.953495, 0.000028, 0.940876, 0.000027, 0.926569, 0.000016, 0.920905, 0.000024,
+ 0.912169, 0.000032, 0.899095, 0.000035, 0.882209, 0.000029, 0.870272, 0.000034,
+ 0.855977, 0.000039, 0.837431, 0.000037, 0.820826, 0.000040, 0.803408, 0.000044,
+ 0.782838, 0.000042, 0.763941, 0.000045, 0.742904, 0.000046, 0.721463, 0.000046,
+ 0.700197, 0.000048, 0.677501, 0.000047, 0.655527, 0.000048, 0.632400, 0.000048,
+ 0.609964, 0.000048, 0.586839, 0.000048, 0.564353, 0.000048, 0.541589, 0.000047,
+ 0.519413, 0.000046, 0.497337, 0.000045, 0.475797, 0.000045, 0.454659, 0.000044,
+ 0.434065, 0.000042, 0.414018, 0.000041, 0.394550, 0.000040, 0.375742, 0.000039,
+ 0.357501, 0.000038, 0.339996, 0.000037, 0.323069, 0.000035, 0.306897, 0.000034,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000, 0.999995, 0.000000,
+ 0.999991, 0.000000, 0.999981, 0.000000, 0.999967, 0.000000, 0.999938, 0.000000,
+ 0.999886, 0.000001, 0.999792, 0.000002, 0.999608, 0.000004, 0.999209, 0.000008,
+ 0.998179, 0.000017, 0.994605, 0.000027, 0.979468, 0.000017, 0.967529, 0.000002,
+ 0.966836, 0.000005, 0.965690, 0.000008, 0.963706, 0.000014, 0.960063, 0.000022,
+ 0.953113, 0.000029, 0.940192, 0.000025, 0.927731, 0.000020, 0.920669, 0.000025,
+ 0.911799, 0.000032, 0.898570, 0.000034, 0.883283, 0.000032, 0.869890, 0.000036,
+ 0.855483, 0.000040, 0.837987, 0.000039, 0.820546, 0.000041, 0.802878, 0.000044,
+ 0.783402, 0.000044, 0.763439, 0.000046, 0.742925, 0.000047, 0.721633, 0.000048,
+ 0.699850, 0.000048, 0.677830, 0.000049, 0.655126, 0.000049, 0.632697, 0.000050,
+ 0.609613, 0.000049, 0.587098, 0.000049, 0.564119, 0.000048, 0.541813, 0.000048,
+ 0.519342, 0.000047, 0.497514, 0.000047, 0.475879, 0.000046, 0.454789, 0.000045,
+ 0.434217, 0.000044, 0.414086, 0.000042, 0.394744, 0.000041, 0.375782, 0.000040,
+ 0.357707, 0.000039, 0.340038, 0.000037, 0.323284, 0.000036, 0.306954, 0.000034,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 0.999999, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000, 0.999993, 0.000000,
+ 0.999988, 0.000000, 0.999979, 0.000000, 0.999962, 0.000000, 0.999933, 0.000000,
+ 0.999881, 0.000001, 0.999783, 0.000002, 0.999594, 0.000004, 0.999178, 0.000009,
+ 0.998073, 0.000018, 0.993993, 0.000028, 0.979982, 0.000015, 0.968145, 0.000004,
+ 0.966786, 0.000005, 0.965611, 0.000009, 0.963557, 0.000016, 0.959752, 0.000024,
+ 0.952461, 0.000029, 0.940193, 0.000024, 0.929042, 0.000023, 0.920266, 0.000027,
+ 0.911178, 0.000034, 0.897873, 0.000033, 0.884053, 0.000035, 0.869455, 0.000038,
+ 0.854655, 0.000040, 0.838347, 0.000042, 0.820693, 0.000044, 0.802277, 0.000045,
+ 0.783634, 0.000047, 0.763159, 0.000048, 0.742914, 0.000049, 0.721662, 0.000050,
+ 0.699668, 0.000050, 0.677839, 0.000051, 0.655091, 0.000051, 0.632665, 0.000052,
+ 0.609734, 0.000051, 0.587043, 0.000051, 0.564298, 0.000051, 0.541769, 0.000050,
+ 0.519529, 0.000049, 0.497574, 0.000048, 0.476028, 0.000047, 0.454961, 0.000046,
+ 0.434341, 0.000045, 0.414364, 0.000044, 0.394832, 0.000042, 0.376109, 0.000041,
+ 0.357790, 0.000040, 0.340379, 0.000038, 0.323385, 0.000037, 0.307295, 0.000036,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000,
+ 0.999998, 0.000000, 0.999997, 0.000000, 0.999996, 0.000000, 0.999992, 0.000000,
+ 0.999986, 0.000000, 0.999975, 0.000000, 0.999959, 0.000000, 0.999927, 0.000000,
+ 0.999871, 0.000001, 0.999771, 0.000002, 0.999572, 0.000005, 0.999133, 0.000011,
+ 0.997912, 0.000020, 0.993008, 0.000028, 0.980645, 0.000014, 0.970057, 0.000006,
+ 0.966717, 0.000007, 0.965497, 0.000011, 0.963340, 0.000018, 0.959294, 0.000026,
+ 0.951519, 0.000029, 0.940517, 0.000025, 0.930140, 0.000027, 0.919720, 0.000030,
+ 0.910294, 0.000035, 0.897701, 0.000035, 0.884522, 0.000039, 0.869489, 0.000041,
+ 0.853983, 0.000042, 0.838425, 0.000045, 0.820656, 0.000047, 0.801875, 0.000048,
+ 0.783521, 0.000051, 0.763131, 0.000051, 0.742610, 0.000052, 0.721480, 0.000053,
+ 0.699696, 0.000054, 0.677592, 0.000054, 0.655250, 0.000055, 0.632452, 0.000054,
+ 0.609903, 0.000054, 0.586928, 0.000054, 0.564464, 0.000054, 0.541801, 0.000052,
+ 0.519681, 0.000052, 0.497685, 0.000051, 0.476220, 0.000050, 0.455135, 0.000049,
+ 0.434600, 0.000047, 0.414564, 0.000046, 0.395165, 0.000044, 0.376333, 0.000043,
+ 0.358197, 0.000042, 0.340640, 0.000040, 0.323816, 0.000039, 0.307581, 0.000037,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000,
+ 0.999998, 0.000000, 0.999997, 0.000000, 0.999994, 0.000000, 0.999990, 0.000000,
+ 0.999984, 0.000000, 0.999972, 0.000000, 0.999952, 0.000000, 0.999919, 0.000001,
+ 0.999860, 0.000001, 0.999753, 0.000003, 0.999546, 0.000006, 0.999074, 0.000013,
+ 0.997671, 0.000023, 0.991504, 0.000026, 0.981148, 0.000013, 0.971965, 0.000009,
+ 0.966624, 0.000008, 0.965344, 0.000014, 0.963048, 0.000021, 0.958673, 0.000029,
+ 0.950262, 0.000028, 0.940836, 0.000027, 0.930996, 0.000031, 0.919848, 0.000035,
+ 0.909136, 0.000037, 0.897554, 0.000038, 0.884691, 0.000043, 0.869414, 0.000045,
+ 0.853462, 0.000045, 0.838187, 0.000050, 0.820381, 0.000050, 0.801844, 0.000052,
+ 0.783061, 0.000054, 0.763205, 0.000055, 0.742362, 0.000056, 0.721393, 0.000057,
+ 0.699676, 0.000058, 0.677395, 0.000058, 0.655208, 0.000059, 0.632451, 0.000058,
+ 0.609839, 0.000058, 0.587093, 0.000058, 0.564467, 0.000057, 0.542043, 0.000056,
+ 0.519826, 0.000055, 0.497952, 0.000054, 0.476477, 0.000053, 0.455412, 0.000051,
+ 0.434926, 0.000050, 0.414900, 0.000049, 0.395552, 0.000047, 0.376712, 0.000045,
+ 0.358622, 0.000044, 0.341048, 0.000042, 0.324262, 0.000041, 0.308013, 0.000039,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.999998, 0.000000,
+ 0.999997, 0.000000, 0.999995, 0.000000, 0.999994, 0.000000, 0.999988, 0.000000,
+ 0.999979, 0.000000, 0.999965, 0.000000, 0.999945, 0.000000, 0.999908, 0.000001,
+ 0.999846, 0.000002, 0.999733, 0.000004, 0.999511, 0.000008, 0.998993, 0.000016,
+ 0.997326, 0.000027, 0.989706, 0.000021, 0.981713, 0.000013, 0.973636, 0.000011,
+ 0.966509, 0.000010, 0.965149, 0.000017, 0.962669, 0.000025, 0.957860, 0.000032,
+ 0.949334, 0.000028, 0.941041, 0.000030, 0.931575, 0.000036, 0.920102, 0.000040,
+ 0.908002, 0.000038, 0.897269, 0.000043, 0.884559, 0.000048, 0.869161, 0.000048,
+ 0.853342, 0.000051, 0.837633, 0.000054, 0.820252, 0.000055, 0.801872, 0.000058,
+ 0.782418, 0.000059, 0.763100, 0.000061, 0.742183, 0.000061, 0.721098, 0.000063,
+ 0.699512, 0.000063, 0.677372, 0.000064, 0.655059, 0.000063, 0.632567, 0.000064,
+ 0.609784, 0.000063, 0.587237, 0.000063, 0.564525, 0.000062, 0.542181, 0.000061,
+ 0.520017, 0.000060, 0.498204, 0.000058, 0.476742, 0.000057, 0.455803, 0.000055,
+ 0.435251, 0.000054, 0.415374, 0.000052, 0.395921, 0.000050, 0.377253, 0.000049,
+ 0.359021, 0.000047, 0.341637, 0.000045, 0.324700, 0.000043, 0.308625, 0.000042,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000,
+ 0.999996, 0.000000, 0.999993, 0.000000, 0.999989, 0.000000, 0.999983, 0.000000,
+ 0.999974, 0.000000, 0.999959, 0.000000, 0.999936, 0.000000, 0.999896, 0.000001,
+ 0.999830, 0.000002, 0.999709, 0.000005, 0.999469, 0.000010, 0.998886, 0.000019,
+ 0.996819, 0.000030, 0.988837, 0.000019, 0.982178, 0.000013, 0.975017, 0.000013,
+ 0.967101, 0.000014, 0.964905, 0.000021, 0.962180, 0.000030, 0.956821, 0.000034,
+ 0.948829, 0.000031, 0.941092, 0.000035, 0.931883, 0.000041, 0.920211, 0.000044,
+ 0.907307, 0.000043, 0.896840, 0.000049, 0.884119, 0.000053, 0.869148, 0.000054,
+ 0.853377, 0.000058, 0.836753, 0.000059, 0.820063, 0.000062, 0.801694, 0.000065,
+ 0.782116, 0.000065, 0.762673, 0.000067, 0.742133, 0.000068, 0.720779, 0.000069,
+ 0.699386, 0.000070, 0.677320, 0.000070, 0.654888, 0.000070, 0.632499, 0.000069,
+ 0.609825, 0.000069, 0.587287, 0.000068, 0.564743, 0.000067, 0.542409, 0.000066,
+ 0.520282, 0.000065, 0.498506, 0.000063, 0.477102, 0.000062, 0.456167, 0.000060,
+ 0.435728, 0.000058, 0.415809, 0.000056, 0.396517, 0.000054, 0.377737, 0.000053,
+ 0.359698, 0.000051, 0.342164, 0.000049, 0.325417, 0.000047, 0.309186, 0.000045,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 1.000000, 0.000000, 0.999999, 0.000000, 0.999997, 0.000000,
+ 0.999994, 0.000000, 0.999993, 0.000000, 0.999987, 0.000000, 0.999981, 0.000000,
+ 0.999969, 0.000000, 0.999953, 0.000000, 0.999925, 0.000001, 0.999881, 0.000001,
+ 0.999810, 0.000003, 0.999680, 0.000007, 0.999418, 0.000013, 0.998748, 0.000023,
+ 0.996066, 0.000033, 0.988379, 0.000018, 0.982567, 0.000014, 0.976097, 0.000015,
+ 0.968475, 0.000018, 0.964606, 0.000025, 0.961564, 0.000035, 0.955517, 0.000036,
+ 0.948381, 0.000034, 0.941095, 0.000041, 0.931923, 0.000048, 0.919960, 0.000048,
+ 0.907419, 0.000050, 0.896180, 0.000056, 0.883370, 0.000059, 0.869046, 0.000062,
+ 0.853278, 0.000066, 0.836091, 0.000066, 0.819644, 0.000070, 0.801246, 0.000071,
+ 0.782031, 0.000074, 0.762066, 0.000075, 0.741964, 0.000077, 0.720554, 0.000077,
+ 0.699098, 0.000078, 0.677189, 0.000077, 0.654840, 0.000078, 0.632496, 0.000077,
+ 0.609908, 0.000076, 0.587312, 0.000075, 0.564938, 0.000074, 0.542577, 0.000073,
+ 0.520620, 0.000071, 0.498819, 0.000069, 0.477555, 0.000068, 0.456568, 0.000065,
+ 0.436278, 0.000064, 0.416370, 0.000061, 0.397144, 0.000059, 0.378412, 0.000057,
+ 0.360376, 0.000055, 0.342906, 0.000053, 0.326136, 0.000051, 0.309970, 0.000048,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 0.999999, 0.000000, 0.999998, 0.000000, 0.999997, 0.000000,
+ 0.999994, 0.000000, 0.999991, 0.000000, 0.999985, 0.000000, 0.999977, 0.000000,
+ 0.999964, 0.000000, 0.999945, 0.000000, 0.999912, 0.000001, 0.999866, 0.000002,
+ 0.999786, 0.000004, 0.999647, 0.000009, 0.999356, 0.000016, 0.998563, 0.000028,
+ 0.994928, 0.000034, 0.987999, 0.000018, 0.982893, 0.000016, 0.977044, 0.000018,
+ 0.969972, 0.000023, 0.964237, 0.000031, 0.960791, 0.000041, 0.954292, 0.000037,
+ 0.948052, 0.000040, 0.940938, 0.000048, 0.931689, 0.000055, 0.919870, 0.000054,
+ 0.907665, 0.000059, 0.895281, 0.000064, 0.882621, 0.000066, 0.868730, 0.000071,
+ 0.853008, 0.000074, 0.835944, 0.000076, 0.818949, 0.000080, 0.800951, 0.000081,
+ 0.781847, 0.000084, 0.761649, 0.000085, 0.741520, 0.000086, 0.720495, 0.000087,
+ 0.698742, 0.000087, 0.677096, 0.000087, 0.654782, 0.000086, 0.632335, 0.000086,
+ 0.610031, 0.000085, 0.587457, 0.000084, 0.565130, 0.000082, 0.542877, 0.000080,
+ 0.520900, 0.000079, 0.499291, 0.000077, 0.477971, 0.000074, 0.457221, 0.000072,
+ 0.436803, 0.000070, 0.417083, 0.000068, 0.397749, 0.000065, 0.379177, 0.000063,
+ 0.361061, 0.000060, 0.343713, 0.000058, 0.326894, 0.000055, 0.310816, 0.000053,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 0.999999, 0.000000, 0.999999, 0.000000, 0.999996, 0.000000,
+ 0.999992, 0.000000, 0.999989, 0.000000, 0.999980, 0.000000, 0.999971, 0.000000,
+ 0.999955, 0.000000, 0.999933, 0.000001, 0.999901, 0.000001, 0.999847, 0.000003,
+ 0.999761, 0.000006, 0.999607, 0.000011, 0.999282, 0.000020, 0.998310, 0.000034,
+ 0.993288, 0.000029, 0.987855, 0.000019, 0.983167, 0.000018, 0.977908, 0.000022,
+ 0.971194, 0.000029, 0.963867, 0.000039, 0.959820, 0.000046, 0.953497, 0.000042,
+ 0.947621, 0.000048, 0.940611, 0.000057, 0.931174, 0.000062, 0.919919, 0.000063,
+ 0.907856, 0.000069, 0.894509, 0.000074, 0.881954, 0.000076, 0.868309, 0.000082,
+ 0.852511, 0.000084, 0.835821, 0.000088, 0.817981, 0.000090, 0.800504, 0.000093,
+ 0.781410, 0.000095, 0.761427, 0.000096, 0.740940, 0.000097, 0.720233, 0.000098,
+ 0.698592, 0.000098, 0.676763, 0.000098, 0.654808, 0.000097, 0.632326, 0.000096,
+ 0.610049, 0.000095, 0.587630, 0.000093, 0.565261, 0.000092, 0.543244, 0.000090,
+ 0.521273, 0.000087, 0.499818, 0.000085, 0.478536, 0.000082, 0.457826, 0.000080,
+ 0.437549, 0.000077, 0.417760, 0.000074, 0.398630, 0.000072, 0.379954, 0.000069,
+ 0.362025, 0.000066, 0.344581, 0.000063, 0.327909, 0.000061, 0.311736, 0.000058,
+ 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.000000,
+ 1.000000, 0.000000, 0.999999, 0.000000, 0.999997, 0.000000, 0.999995, 0.000000,
+ 0.999992, 0.000000, 0.999985, 0.000000, 0.999977, 0.000000, 0.999966, 0.000000,
+ 0.999948, 0.000000, 0.999923, 0.000001, 0.999884, 0.000002, 0.999826, 0.000004,
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+ 0.854379, 0.107901, 0.850894, 0.100880, 0.847632, 0.094230, 0.844571, 0.087986,
+ 0.841630, 0.082153, 0.838542, 0.076641, 0.835412, 0.071532, 0.831899, 0.066688,
+ 0.828177, 0.062218, 0.824160, 0.058045, 0.820393, 0.054267, 0.816068, 0.050717,
+ 0.811201, 0.047404, 0.805785, 0.044317, 0.799878, 0.041456, 0.793469, 0.038815,
+ 0.786473, 0.036345, 0.778874, 0.034022, 0.771277, 0.031860, 0.763426, 0.029886,
+ 0.755044, 0.028036, 0.746161, 0.026298, 0.737124, 0.024730, 0.727610, 0.023251,
+ 0.717822, 0.021875, 0.708279, 0.020594, 0.698333, 0.019395, 0.688020, 0.018272,
+ 0.677321, 0.017204, 0.666504, 0.016212, 0.656184, 0.015292, 0.645560, 0.014433,
+ 0.634636, 0.013616, 0.624124, 0.012861, 0.613914, 0.012143, 0.603589, 0.011489,
+ 1.000000, 0.307946, 0.999999, 0.307945, 0.999988, 0.307934, 0.999944, 0.307886,
+ 0.999824, 0.307756, 0.999565, 0.307480, 0.999085, 0.306966, 0.998103, 0.306004,
+ 0.994249, 0.303028, 0.991807, 0.300435, 0.987773, 0.296554, 0.982673, 0.291600,
+ 0.976623, 0.285641, 0.968757, 0.278150, 0.959849, 0.269529, 0.950663, 0.260248,
+ 0.940129, 0.249704, 0.928950, 0.238291, 0.917996, 0.226501, 0.907813, 0.214669,
+ 0.898305, 0.202835, 0.889626, 0.191158, 0.881750, 0.179695, 0.874715, 0.168548,
+ 0.868746, 0.157920, 0.863703, 0.147807, 0.859315, 0.138149, 0.855538, 0.128993,
+ 0.852428, 0.120414, 0.850168, 0.112498, 0.848132, 0.105054, 0.846291, 0.098109,
+ 0.844431, 0.091594, 0.842493, 0.085506, 0.840368, 0.079820, 0.837980, 0.074510,
+ 0.835230, 0.069542, 0.832091, 0.064909, 0.828667, 0.060629, 0.824805, 0.056652,
+ 0.820988, 0.053023, 0.816635, 0.049636, 0.811725, 0.046466, 0.806316, 0.043508,
+ 0.800469, 0.040787, 0.794107, 0.038255, 0.787218, 0.035882, 0.779872, 0.033679,
+ 0.772097, 0.031638, 0.764484, 0.029738, 0.756428, 0.027958, 0.748022, 0.026315,
+ 0.739268, 0.024780, 0.730240, 0.023339, 0.720893, 0.022003, 0.711190, 0.020755,
+ 0.701791, 0.019584, 0.692184, 0.018489, 0.682258, 0.017454, 0.672060, 0.016487,
+ 0.661717, 0.015596, 0.651462, 0.014752, 0.641467, 0.013973, 0.631229, 0.013236,
+ 1.000000, 0.367573, 0.999999, 0.367571, 0.999984, 0.367553, 0.999925, 0.367473,
+ 0.999759, 0.367259, 0.999410, 0.366801, 0.998739, 0.365946, 0.995529, 0.363191,
+ 0.992875, 0.360171, 0.989135, 0.355981, 0.984166, 0.350401, 0.977871, 0.343348,
+ 0.969510, 0.334341, 0.959964, 0.323862, 0.950162, 0.312521, 0.938882, 0.299577,
+ 0.926992, 0.285573, 0.915589, 0.271212, 0.904791, 0.256611, 0.895177, 0.242224,
+ 0.886403, 0.227952, 0.878957, 0.214192, 0.872418, 0.200795, 0.867029, 0.188015,
+ 0.862835, 0.175975, 0.859411, 0.164526, 0.856655, 0.153693, 0.854519, 0.143520,
+ 0.852828, 0.133970, 0.851412, 0.124984, 0.850609, 0.116748, 0.849855, 0.109050,
+ 0.849017, 0.101839, 0.848079, 0.095136, 0.846911, 0.088877, 0.845445, 0.083038,
+ 0.843620, 0.077584, 0.841411, 0.072505, 0.838768, 0.067769, 0.835801, 0.063402,
+ 0.832341, 0.059310, 0.828424, 0.055512, 0.824312, 0.052024, 0.819918, 0.048786,
+ 0.815072, 0.045780, 0.809863, 0.043018, 0.804164, 0.040425, 0.798034, 0.038015,
+ 0.791436, 0.035744, 0.784498, 0.033647, 0.777125, 0.031667, 0.769365, 0.029812,
+ 0.761579, 0.028100, 0.753746, 0.026505, 0.745573, 0.025007, 0.737083, 0.023603,
+ 0.728545, 0.022330, 0.719691, 0.021124, 0.710569, 0.019998, 0.701216, 0.018957,
+ 0.692094, 0.017970, 0.682909, 0.017042, 0.673509, 0.016173, 0.663863, 0.015341,
+ 1.000000, 0.437395, 0.999998, 0.437394, 0.999980, 0.437363, 0.999891, 0.437232,
+ 0.999656, 0.436877, 0.999148, 0.436121, 0.997959, 0.434564, 0.993464, 0.430134,
+ 0.990606, 0.426077, 0.985027, 0.419397, 0.978491, 0.411180, 0.969643, 0.400480,
+ 0.959189, 0.387690, 0.948223, 0.373575, 0.935955, 0.357622, 0.923237, 0.340430,
+ 0.911074, 0.322735, 0.899724, 0.304790, 0.890189, 0.287392, 0.881796, 0.270248,
+ 0.874781, 0.253659, 0.869166, 0.237786, 0.864725, 0.222618, 0.861565, 0.208356,
+ 0.859284, 0.194867, 0.857677, 0.182120, 0.856714, 0.170180, 0.856155, 0.158969,
+ 0.855800, 0.148413, 0.855672, 0.138578, 0.855538, 0.129345, 0.855689, 0.120861,
+ 0.855767, 0.112969, 0.855618, 0.105593, 0.855250, 0.098745, 0.854583, 0.092373,
+ 0.853534, 0.086414, 0.852061, 0.080834, 0.850253, 0.075677, 0.848004, 0.070861,
+ 0.845333, 0.066378, 0.842376, 0.062263, 0.838956, 0.058411, 0.835121, 0.054833,
+ 0.830842, 0.051484, 0.826212, 0.048355, 0.821522, 0.045471, 0.816551, 0.042826,
+ 0.811211, 0.040361, 0.805479, 0.038039, 0.799409, 0.035874, 0.793060, 0.033873,
+ 0.786395, 0.031998, 0.779416, 0.030241, 0.772140, 0.028595, 0.764636, 0.027075,
+ 0.756836, 0.025635, 0.749315, 0.024303, 0.741561, 0.023050, 0.733589, 0.021880,
+ 0.725479, 0.020784, 0.717255, 0.019770, 0.708829, 0.018817, 0.700191, 0.017911,
+ 1.000000, 0.518937, 0.999998, 0.518933, 0.999967, 0.518883, 0.999832, 0.518660,
+ 0.999466, 0.518057, 0.998644, 0.516752, 0.994458, 0.512347, 0.991223, 0.507675,
+ 0.985515, 0.500188, 0.978308, 0.490408, 0.968359, 0.477357, 0.956820, 0.461752,
+ 0.943929, 0.443796, 0.930224, 0.423893, 0.916514, 0.402682, 0.903653, 0.380914,
+ 0.892315, 0.359212, 0.882942, 0.338102, 0.875438, 0.317730, 0.869642, 0.298186,
+ 0.865304, 0.279491, 0.862382, 0.261804, 0.860666, 0.245146, 0.859788, 0.229406,
+ 0.859608, 0.214605, 0.859912, 0.200691, 0.860530, 0.187623, 0.861368, 0.175390,
+ 0.862237, 0.163901, 0.863127, 0.153175, 0.863923, 0.143147, 0.864567, 0.133781,
+ 0.865013, 0.125042, 0.865390, 0.116952, 0.865591, 0.109476, 0.865517, 0.102542,
+ 0.865084, 0.096069, 0.864309, 0.090050, 0.863151, 0.084433, 0.861649, 0.079222,
+ 0.859742, 0.074348, 0.857446, 0.069796, 0.854757, 0.065536, 0.851783, 0.061608,
+ 0.848516, 0.057970, 0.844897, 0.054574, 0.840956, 0.051417, 0.836676, 0.048460,
+ 0.832075, 0.045693, 0.827191, 0.043118, 0.822295, 0.040772, 0.817294, 0.038603,
+ 0.812013, 0.036568, 0.806465, 0.034655, 0.800691, 0.032872, 0.794709, 0.031211,
+ 0.788493, 0.029650, 0.782049, 0.028178, 0.775403, 0.026797, 0.768570, 0.025500,
+ 0.761536, 0.024276, 0.754303, 0.023114, 0.746920, 0.022031, 0.739745, 0.021019,
+ 1.000000, 0.613914, 0.999996, 0.613907, 0.999942, 0.613814, 0.999704, 0.613407,
+ 0.999046, 0.612302, 0.995516, 0.608266, 0.991726, 0.602863, 0.985157, 0.593956,
+ 0.976420, 0.581748, 0.964404, 0.565183, 0.950601, 0.545273, 0.935158, 0.522129,
+ 0.919364, 0.496782, 0.904754, 0.470571, 0.891760, 0.444037, 0.881492, 0.418322,
+ 0.873656, 0.393522, 0.868053, 0.369795, 0.864336, 0.347171, 0.862259, 0.325737,
+ 0.861556, 0.305532, 0.861776, 0.286416, 0.862661, 0.268355, 0.864015, 0.251334,
+ 0.865711, 0.235352, 0.867519, 0.220302, 0.869351, 0.206161, 0.871144, 0.192908,
+ 0.872839, 0.180505, 0.874307, 0.168848, 0.875667, 0.158021, 0.876758, 0.147877,
+ 0.877640, 0.138441, 0.878237, 0.129627, 0.878563, 0.121415, 0.878572, 0.113741,
+ 0.878420, 0.106652, 0.878057, 0.100097, 0.877413, 0.094013, 0.876460, 0.088346,
+ 0.875233, 0.083092, 0.873700, 0.078198, 0.871873, 0.073640, 0.869780, 0.069410,
+ 0.867405, 0.065470, 0.864751, 0.061791, 0.861818, 0.058349, 0.858645, 0.055144,
+ 0.855307, 0.052189, 0.851736, 0.049433, 0.847927, 0.046850, 0.843888, 0.044426,
+ 0.839629, 0.042150, 0.835158, 0.040008, 0.830509, 0.038008, 0.825714, 0.036149,
+ 0.820729, 0.034396, 0.815751, 0.032778, 0.810752, 0.031275, 0.805587, 0.029854,
+ 0.800317, 0.028540, 0.794890, 0.027295, 0.789314, 0.026114, 0.783593, 0.024994,
+ 1.000000, 0.724258, 0.999992, 0.724243, 0.999870, 0.724044, 0.999336, 0.723170,
+ 0.996271, 0.719432, 0.991159, 0.712576, 0.982465, 0.700927, 0.970490, 0.684297,
+ 0.953973, 0.661244, 0.935546, 0.633804, 0.916596, 0.603071, 0.899353, 0.571050,
+ 0.885216, 0.539206, 0.875076, 0.508714, 0.868334, 0.479571, 0.864414, 0.451796,
+ 0.862678, 0.425328, 0.862835, 0.400352, 0.864067, 0.376532, 0.866086, 0.353910,
+ 0.868557, 0.332424, 0.871271, 0.312053, 0.874058, 0.292764, 0.876800, 0.274530,
+ 0.879390, 0.257297, 0.881900, 0.241140, 0.884187, 0.225934, 0.886262, 0.211669,
+ 0.888119, 0.198311, 0.889709, 0.185783, 0.891054, 0.174063, 0.892196, 0.163143,
+ 0.893101, 0.152952, 0.893803, 0.143475, 0.894277, 0.134647, 0.894532, 0.126434,
+ 0.894576, 0.118800, 0.894393, 0.111694, 0.893976, 0.105069, 0.893346, 0.098908,
+ 0.892502, 0.093172, 0.891441, 0.087828, 0.890276, 0.082903, 0.888972, 0.078351,
+ 0.887469, 0.074108, 0.885785, 0.070163, 0.883914, 0.066484, 0.881872, 0.063057,
+ 0.879651, 0.059853, 0.877267, 0.056862, 0.874717, 0.054060, 0.872012, 0.051438,
+ 0.869157, 0.048981, 0.866155, 0.046673, 0.863014, 0.044506, 0.859748, 0.042473,
+ 0.856416, 0.040596, 0.852958, 0.038827, 0.849382, 0.037162, 0.845694, 0.035596,
+ 0.841893, 0.034115, 0.837981, 0.032714, 0.833963, 0.031386, 0.829847, 0.030128,
+ 1.000000, 0.852140, 0.999969, 0.852095, 0.999483, 0.851408, 0.994545, 0.845790,
+ 0.986188, 0.835231, 0.969847, 0.814687, 0.945951, 0.783735, 0.919170, 0.746074,
+ 0.895488, 0.706938, 0.878232, 0.669534, 0.868252, 0.635168, 0.863873, 0.603069,
+ 0.863369, 0.572514, 0.865450, 0.543169, 0.868803, 0.514578, 0.872794, 0.486762,
+ 0.877020, 0.459811, 0.881054, 0.433654, 0.884974, 0.408574, 0.888587, 0.384525,
+ 0.891877, 0.361560, 0.894793, 0.339661, 0.897430, 0.318913, 0.899796, 0.299302,
+ 0.901943, 0.280843, 0.903858, 0.263481, 0.905574, 0.247197, 0.907069, 0.231915,
+ 0.908379, 0.217614, 0.909520, 0.204250, 0.910483, 0.191758, 0.911280, 0.180092,
+ 0.911936, 0.169222, 0.912454, 0.159098, 0.912835, 0.149668, 0.913078, 0.140884,
+ 0.913192, 0.132709, 0.913175, 0.125095, 0.913040, 0.118012, 0.912781, 0.111417,
+ 0.912410, 0.105281, 0.911924, 0.099569, 0.911331, 0.094253, 0.910637, 0.089308,
+ 0.909840, 0.084700, 0.908941, 0.080404, 0.907944, 0.076398, 0.906857, 0.072664,
+ 0.905680, 0.069178, 0.904416, 0.065922, 0.903067, 0.062878, 0.901637, 0.060031,
+ 0.900128, 0.057365, 0.898544, 0.054867, 0.896890, 0.052527, 0.895165, 0.050331,
+ 0.893371, 0.048267, 0.891572, 0.046360, 0.889763, 0.044600, 0.887894, 0.042945,
+ 0.885967, 0.041388, 0.883984, 0.039922, 0.881945, 0.038540, 0.879854, 0.037236,
+ 0.999804, 0.995833, 0.938155, 0.933611, 0.864755, 0.854311, 0.888594, 0.865264,
+ 0.905575, 0.863922, 0.915125, 0.850558, 0.920665, 0.829254, 0.924073, 0.802578,
+ 0.926304, 0.772211, 0.927829, 0.739366, 0.928924, 0.705033, 0.929730, 0.670019,
+ 0.930339, 0.634993, 0.930811, 0.600485, 0.931191, 0.566897, 0.931490, 0.534485,
+ 0.931737, 0.503429, 0.931939, 0.473811, 0.932108, 0.445668, 0.932250, 0.418993,
+ 0.932371, 0.393762, 0.932474, 0.369939, 0.932562, 0.347479, 0.932638, 0.326336,
+ 0.932703, 0.306462, 0.932760, 0.287805, 0.932809, 0.270313, 0.932851, 0.253933,
+ 0.932887, 0.238610, 0.932917, 0.224289, 0.932943, 0.210917, 0.932965, 0.198440,
+ 0.932982, 0.186807, 0.932995, 0.175966, 0.933005, 0.165869, 0.933011, 0.156468,
+ 0.933013, 0.147719, 0.933013, 0.139579, 0.933010, 0.132007, 0.933004, 0.124965,
+ 0.932994, 0.118416, 0.932982, 0.112326, 0.932968, 0.106663, 0.932950, 0.101397,
+ 0.932931, 0.096499, 0.932908, 0.091944, 0.932883, 0.087706, 0.932856, 0.083762,
+ 0.932827, 0.080092, 0.932796, 0.076675, 0.932762, 0.073494, 0.932727, 0.070530,
+ 0.932689, 0.067768, 0.932650, 0.065193, 0.932609, 0.062792, 0.932565, 0.060552,
+ 0.932521, 0.058461, 0.932474, 0.056508, 0.932427, 0.054684, 0.932377, 0.052979,
+ 0.932326, 0.051385, 0.932274, 0.049894, 0.932220, 0.048497, 0.932164, 0.047190,
};
static float bsdf_split_sum_ggx[64 * 64 * 2] = {