path: root/source/blender/draw/engines/eevee/eevee_lut.c

/*
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 *
 * The Original Code is Copyright (C) 2005 Blender Foundation.
 * All rights reserved.
 */

/** \file
 * \ingroup gpu
 */

#include "eevee_lut.h" /* own include */

const float ltc_mat_ggx[64 * 64 * 4] = {
    1.000000, 0.000000,  0.000000, 0.000020, 1.000000, 0.000000,  0.000000,  0.000504,
    1.000000, 0.000000,  0.000000, 0.002016, 1.000000, 0.000000,  0.000000,  0.004535,
    1.000000, 0.000000,  0.000000, 0.008063, 1.000000, 0.000000,  0.000000,  0.012598,
    1.000000, 0.000000,  0.000000, 0.018141, 1.000000, 0.000000,  0.000000,  0.024692,
    1.000000, 0.000000,  0.000000, 0.032253, 1.000000, 0.000000,  0.000000,  0.040821,
    1.000000, 0.000000,  0.000000, 0.050400, 1.000000, 0.000000,  0.000000,  0.060989,
    1.000000, 0.000000,  0.000000, 0.072591, 1.000000, 0.000000,  0.000000,  0.085206,
    1.000000, 0.000000,  0.000000, 0.098836, 1.000000, 0.000000,  0.000000,  0.113484,
    1.000000, 0.000000,  0.000000, 0.129153, 1.000000, 0.000000,  0.000000,  0.145839,
    1.000000, 0.000000,  0.000000, 0.163548, 1.000000, 0.000000,  0.000000,  0.182266,
    1.000000, 0.000000,  0.000000, 0.201942, 1.000000, 0.000000,  0.000000,  0.222314,
    1.000000, 0.000000,  0.000000, 0.241906, 1.000000, 0.000000,  0.000000,  0.262314,
    1.000000, 0.000000,  0.000000, 0.285754, 1.000000, 0.000000,  0.000000,  0.310159,
    1.000000, 0.000000,  0.000000, 0.335426, 1.000000, 0.000000,  0.000000,  0.361341,
    1.000000, 0.000000,  0.000000, 0.387445, 1.000000, 0.000000,  0.000000,  0.412784,
    1.000000, 0.000000,  0.000000, 0.438197, 1.000000, 0.000000,  0.000000,  0.466966,
    1.000000, 0.000000,  0.000000, 0.495590, 1.000000, 0.000000,  0.000000,  0.523448,
    1.000000, 0.000000,  0.000000, 0.549938, 1.000000, 0.000000,  0.000000,  0.579790,
    1.000000, 0.000000,  0.000000, 0.608746, 1.000000, 0.000000,  0.000000,  0.636185,
    1.000000, 0.000000,  0.000000, 0.664748, 1.000000, 0.000000,  0.000000,  0.693130,
    1.000000, 0.000000,  0.000000, 0.719660, 1.000000, 0.000000,  0.000000,  0.747662,
    1.000000, 0.000000,  0.000000, 0.774023, 1.000000, 0.000000,  0.000000,  0.799775,
    1.000000, 0.000000,  0.000000, 0.825274, 1.000000, 0.000000,  0.000000,  0.849156,
    1.000000, 0.000000,  0.000000, 0.873248, 1.000000, 0.000000,  0.000000,  0.895320,
    1.000000, 0.000000,  0.000000, 0.917565, 1.000000, 0.000000,  0.000000,  0.937863,
    1.000000, 0.000000,  0.000000, 0.958139, 1.000000, 0.000000,  0.000000,  0.976563,
    1.000000, 0.000000,  0.000000, 0.994658, 1.000000, 0.000000,  0.000000,  1.011200,
    1.000000, 0.000000,  0.000000, 1.027120, 1.000000, 0.000000,  0.000000,  1.041890,
    1.000000, 0.000000,  0.000000, 1.055680, 1.000000, 0.000000,  0.000000,  1.068770,
    1.000000, 0.000000,  0.000000, 1.080580, 1.000000, 0.000000,  0.000000,  1.091940,
    1.000000, 0.000000,  0.000000, 1.101910, 1.000000, 0.000000,  0.000000,  1.111610,
    1.000000, 0.000000,  0.000000, 1.119900, 1.000000, 0.000000,  0.000000,  1.128130,
    0.999547, -0.000000, 0.022442, 0.000020, 0.999495, -0.000011, 0.022441,  0.000504,
    0.999496, -0.000045, 0.022441, 0.002015, 0.999496, -0.000102, 0.022441,  0.004533,
    0.999495, -0.000181, 0.022441, 0.008058, 0.999497, -0.000283, 0.022441,  0.012591,
    0.999496, -0.000407, 0.022441, 0.018132, 0.999498, -0.000554, 0.022441,  0.024680,
    0.999499, -0.000724, 0.022441, 0.032236, 0.999495, -0.000916, 0.022440,  0.040801,
    0.999499, -0.001131, 0.022441, 0.050375, 0.999494, -0.001369, 0.022440,  0.060959,
    0.999489, -0.001629, 0.022440, 0.072554, 0.999489, -0.001912, 0.022441,  0.085162,
    0.999498, -0.002218, 0.022441, 0.098787, 0.999492, -0.002546, 0.022441,  0.113426,
    0.999507, -0.002898, 0.022442, 0.129088, 0.999494, -0.003272, 0.022439,  0.145767,
    0.999546, -0.003667, 0.022442, 0.163472, 0.999543, -0.004082, 0.022439,  0.182182,
    0.999499, -0.004501, 0.022434, 0.201843, 0.999503, -0.004837, 0.022420,  0.222198,
    0.999546, -0.004529, 0.022315, 0.241714, 0.999508, -0.005874, 0.022433,  0.262184,
    0.999509, -0.006388, 0.022427, 0.285609, 0.999501, -0.006910, 0.022417,  0.309998,
    0.999539, -0.007420, 0.022399, 0.335262, 0.999454, -0.007863, 0.022367,  0.361154,
    0.999529, -0.008119, 0.022283, 0.387224, 0.999503, -0.007999, 0.022106,  0.412520,
    0.999561, -0.009528, 0.022306, 0.438006, 0.999557, -0.009913, 0.022207,  0.466735,
    0.999541, -0.010094, 0.022040, 0.495332, 0.999562, -0.009968, 0.021807,  0.523197,
    0.999556, -0.010503, 0.021710, 0.550223, 0.999561, -0.011419, 0.021722,  0.579498,
    0.999588, -0.011182, 0.021336, 0.608416, 0.999633, -0.010773, 0.020869,  0.635965,
    0.999527, -0.012167, 0.021015, 0.664476, 0.999508, -0.011600, 0.020431,  0.692786,
    0.999568, -0.011560, 0.019979, 0.719709, 0.999671, -0.012112, 0.019741,  0.747370,
    0.999688, -0.011077, 0.018885, 0.773692, 0.999620, -0.012237, 0.018845,  0.799534,
    0.999823, -0.011033, 0.017800, 0.825046, 0.999599, -0.011492, 0.017422,  0.849075,
    0.999619, -0.010592, 0.016435, 0.872999, 0.999613, -0.010599, 0.015823,  0.895371,
    0.999640, -0.009799, 0.014813, 0.917364, 0.999770, -0.009672, 0.014072,  0.938002,
    0.999726, -0.008692, 0.012954, 0.957917, 0.999730, -0.008669, 0.012233,  0.976557,
    0.999773, -0.007320, 0.010896, 0.994459, 0.999811, -0.007560, 0.010271,  1.011180,
    0.999862, -0.005837, 0.008788, 1.027010, 0.999835, -0.006314, 0.008275,  1.041860,
    0.999871, -0.004508, 0.006746, 1.055690, 0.999867, -0.004861, 0.006210,  1.068610,
    0.999939, -0.003221, 0.004783, 1.080640, 0.999918, -0.003182, 0.004064,  1.091810,
    1.000030, -0.001933, 0.002807, 1.102070, 0.999928, -0.001537, 0.001987,  1.111520,
    0.999933, -0.000624, 0.000918, 1.120090, 1.000000, -0.000001, 0.000001,  1.128130,
    0.997866, -0.000001, 0.044833, 0.000020, 0.997987, -0.000023, 0.044839,  0.000503,
    0.997987, -0.000090, 0.044839, 0.002012, 0.997985, -0.000203, 0.044839,  0.004526,
    0.997986, -0.000362, 0.044839, 0.008046, 0.997987, -0.000565, 0.044839,  0.012572,
    0.997988, -0.000813, 0.044839, 0.018104, 0.997984, -0.001107, 0.044839,  0.024643,
    0.997985, -0.001446, 0.044839, 0.032188, 0.997987, -0.001830, 0.044839,  0.040739,
    0.997983, -0.002260, 0.044839, 0.050299, 0.997991, -0.002735, 0.044839,  0.060867,
    0.997984, -0.003255, 0.044838, 0.072444, 0.998002, -0.003820, 0.044839,  0.085035,
    0.997997, -0.004431, 0.044840, 0.098637, 0.998007, -0.005088, 0.044840,  0.113255,
    0.998008, -0.005790, 0.044840, 0.128891, 0.998003, -0.006537, 0.044838,  0.145548,
    0.997983, -0.007327, 0.044836, 0.163221, 0.997985, -0.008155, 0.044836,  0.181899,
    0.998005, -0.008990, 0.044829, 0.201533, 0.998026, -0.009644, 0.044793,  0.221821,
    0.998055, -0.009227, 0.044611, 0.241282, 0.998040, -0.011736, 0.044825,  0.261791,
    0.998048, -0.012763, 0.044816, 0.285181, 0.998088, -0.013806, 0.044800,  0.309540,
    0.998058, -0.014821, 0.044767, 0.334751, 0.998099, -0.015700, 0.044697,  0.360610,
    0.998116, -0.016198, 0.044512, 0.386603, 0.998195, -0.015945, 0.044171,  0.411844,
    0.998168, -0.018395, 0.044425, 0.437730, 0.998184, -0.019791, 0.044381,  0.466009,
    0.998251, -0.020143, 0.044069, 0.494574, 0.998305, -0.019885, 0.043563,  0.522405,
    0.998273, -0.021058, 0.043414, 0.549967, 0.998254, -0.022790, 0.043394,  0.578655,
    0.998349, -0.022311, 0.042653, 0.607580, 0.998430, -0.022309, 0.042000,  0.635524,
    0.998373, -0.024114, 0.041899, 0.663621, 0.998425, -0.023145, 0.040812,  0.691906,
    0.998504, -0.023368, 0.040057, 0.719339, 0.998443, -0.024165, 0.039463,  0.746430,
    0.998480, -0.022871, 0.038000, 0.773086, 0.998569, -0.023519, 0.037232,  0.798988,
    0.998619, -0.022311, 0.035647, 0.824249, 0.998594, -0.022311, 0.034523,  0.848808,
    0.998622, -0.021343, 0.032889, 0.872270, 0.998669, -0.020791, 0.031437,  0.895157,
    0.998705, -0.019842, 0.029693, 0.916769, 0.998786, -0.018917, 0.027963,  0.937773,
    0.998888, -0.017881, 0.026160, 0.957431, 0.999060, -0.016685, 0.024216,  0.976495,
    0.999038, -0.015546, 0.022264, 0.994169, 0.999237, -0.014135, 0.020197,  1.011120,
    0.999378, -0.012932, 0.018174, 1.026920, 0.999433, -0.011319, 0.015990,  1.041740,
    0.999439, -0.010124, 0.014039, 1.055590, 0.999614, -0.008375, 0.011783,  1.068520,
    0.999722, -0.007218, 0.009837, 1.080690, 0.999817, -0.005541, 0.007690,  1.091760,
    0.999830, -0.004270, 0.005782, 1.102110, 0.999964, -0.002739, 0.003745,  1.111520,
    1.000010, -0.001367, 0.001872, 1.120310, 0.999946, 0.000039,  -0.000029, 1.128040,
    0.995847, -0.000001, 0.067179, 0.000020, 0.995464, -0.000034, 0.067153,  0.000502,
    0.995470, -0.000135, 0.067153, 0.002006, 0.995471, -0.000305, 0.067153,  0.004515,
    0.995470, -0.000541, 0.067153, 0.008026, 0.995471, -0.000846, 0.067153,  0.012541,
    0.995470, -0.001218, 0.067153, 0.018059, 0.995470, -0.001658, 0.067153,  0.024581,
    0.995463, -0.002166, 0.067153, 0.032106, 0.995468, -0.002741, 0.067153,  0.040637,
    0.995474, -0.003384, 0.067153, 0.050172, 0.995473, -0.004096, 0.067153,  0.060713,
    0.995478, -0.004875, 0.067153, 0.072262, 0.995476, -0.005721, 0.067153,  0.084819,
    0.995477, -0.006637, 0.067154, 0.098388, 0.995498, -0.007620, 0.067154,  0.112972,
    0.995509, -0.008671, 0.067154, 0.128568, 0.995509, -0.009790, 0.067153,  0.145183,
    0.995503, -0.010972, 0.067149, 0.162808, 0.995501, -0.012211, 0.067146,  0.181441,
    0.995530, -0.013456, 0.067137, 0.201015, 0.995550, -0.014391, 0.067083,  0.221206,
    0.995580, -0.014351, 0.066888, 0.240813, 0.995577, -0.017400, 0.067105,  0.261257,
    0.995602, -0.019111, 0.067118, 0.284467, 0.995623, -0.020671, 0.067095,  0.308765,
    0.995658, -0.022184, 0.067047, 0.333905, 0.995705, -0.023483, 0.066942,  0.359677,
    0.995719, -0.024193, 0.066671, 0.385554, 0.995786, -0.024354, 0.066266,  0.410951,
    0.995887, -0.027187, 0.066437, 0.437163, 0.995944, -0.029601, 0.066493,  0.464842,
    0.996004, -0.030104, 0.066010, 0.493320, 0.996128, -0.029831, 0.065269,  0.521131,
    0.996253, -0.031643, 0.065074, 0.549167, 0.996244, -0.033904, 0.064943,  0.577370,
    0.996309, -0.033329, 0.063893, 0.606073, 0.996417, -0.033894, 0.063085,  0.634527,
    0.996372, -0.035310, 0.062508, 0.662560, 0.996542, -0.034894, 0.061199,  0.690516,
    0.996568, -0.035161, 0.060069, 0.718317, 0.996711, -0.035432, 0.058852,  0.745280,
    0.996671, -0.034951, 0.057190, 0.772061, 0.996865, -0.034562, 0.055532,  0.798089,
    0.996802, -0.034257, 0.053782, 0.823178, 0.996992, -0.033086, 0.051610,  0.847949,
    0.996944, -0.032467, 0.049554, 0.871431, 0.997146, -0.030954, 0.047030,  0.894357,
    0.997189, -0.029937, 0.044604, 0.916142, 0.997471, -0.028139, 0.041881,  0.937193,
    0.997515, -0.026870, 0.039182, 0.957000, 0.997812, -0.024717, 0.036134,  0.975936,
    0.998027, -0.023353, 0.033395, 0.993910, 0.998233, -0.020984, 0.030192,  1.010750,
    0.998481, -0.019431, 0.027271, 1.026690, 0.998859, -0.016973, 0.024016,  1.041730,
    0.998940, -0.015232, 0.021052, 1.055510, 0.999132, -0.012750, 0.017863,  1.068560,
    0.999369, -0.010828, 0.014787, 1.080540, 0.999549, -0.008459, 0.011619,  1.091850,
    0.999805, -0.006394, 0.008672, 1.102070, 0.999850, -0.004146, 0.005668,  1.111700,
    0.999912, -0.002074, 0.002776, 1.120220, 1.000010, 0.000087,  -0.000054, 1.128320,
    0.991943, -0.000002, 0.089338, 0.000020, 0.991952, -0.000045, 0.089339,  0.000500,
    0.991956, -0.000180, 0.089339, 0.001999, 0.991955, -0.000405, 0.089339,  0.004499,
    0.991953, -0.000720, 0.089339, 0.007998, 0.991955, -0.001125, 0.089339,  0.012496,
    0.991957, -0.001621, 0.089340, 0.017995, 0.991958, -0.002206, 0.089340,  0.024494,
    0.991947, -0.002881, 0.089339, 0.031993, 0.991962, -0.003647, 0.089340,  0.040493,
    0.991965, -0.004503, 0.089340, 0.049995, 0.991980, -0.005449, 0.089341,  0.060499,
    0.991970, -0.006485, 0.089340, 0.072007, 0.991976, -0.007612, 0.089341,  0.084521,
    0.991980, -0.008829, 0.089341, 0.098041, 0.991982, -0.010137, 0.089340,  0.112571,
    0.992008, -0.011535, 0.089342, 0.128115, 0.992026, -0.013023, 0.089341,  0.144672,
    0.992064, -0.014597, 0.089342, 0.162241, 0.992041, -0.016242, 0.089336,  0.180801,
    0.992086, -0.017889, 0.089321, 0.200302, 0.992157, -0.019037, 0.089240,  0.220332,
    0.992181, -0.019558, 0.089053, 0.240144, 0.992175, -0.022726, 0.089215,  0.260728,
    0.992210, -0.025420, 0.089304, 0.283473, 0.992220, -0.027488, 0.089270,  0.307673,
    0.992317, -0.029490, 0.089203, 0.332729, 0.992374, -0.031186, 0.089058,  0.358387,
    0.992505, -0.032066, 0.088699, 0.384102, 0.992568, -0.032972, 0.088320,  0.409767,
    0.992675, -0.036006, 0.088360, 0.436145, 0.992746, -0.039290, 0.088459,  0.463217,
    0.992873, -0.039934, 0.087829, 0.491557, 0.992934, -0.040231, 0.087011,  0.519516,
    0.993091, -0.042201, 0.086586, 0.547741, 0.993259, -0.044350, 0.086194,  0.575792,
    0.993455, -0.044637, 0.085119, 0.604233, 0.993497, -0.045430, 0.084058,  0.632925,
    0.993694, -0.046330, 0.082967, 0.660985, 0.993718, -0.047062, 0.081718,  0.688714,
    0.993973, -0.046884, 0.080029, 0.716743, 0.994207, -0.046705, 0.078129,  0.743770,
    0.994168, -0.046970, 0.076334, 0.770420, 0.994500, -0.045682, 0.073818,  0.796659,
    0.994356, -0.045552, 0.071554, 0.821868, 0.994747, -0.043949, 0.068609,  0.846572,
    0.994937, -0.043006, 0.065869, 0.870435, 0.995142, -0.041341, 0.062645,  0.893272,
    0.995451, -0.039652, 0.059290, 0.915376, 0.995445, -0.037845, 0.055850,  0.936196,
    0.995967, -0.035522, 0.052095, 0.956376, 0.996094, -0.033515, 0.048377,  0.975327,
    0.996622, -0.030682, 0.044257, 0.993471, 0.996938, -0.028550, 0.040469,  1.010520,
    0.997383, -0.025340, 0.036090, 1.026370, 0.997714, -0.023165, 0.032218,  1.041390,
    0.998249, -0.019814, 0.027843, 1.055420, 0.998596, -0.017434, 0.023876,  1.068460,
    0.998946, -0.014135, 0.019594, 1.080560, 0.999280, -0.011560, 0.015628,  1.091810,
    0.999507, -0.008391, 0.011461, 1.102130, 0.999697, -0.005666, 0.007633,  1.111690,
    0.999869, -0.002699, 0.003649, 1.120420, 1.000010, 0.000062,  -0.000032, 1.128320,
    0.987221, -0.000002, 0.111332, 0.000020, 0.987390, -0.000056, 0.111351,  0.000498,
    0.987448, -0.000224, 0.111357, 0.001990, 0.987441, -0.000505, 0.111357,  0.004478,
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    0.984776, -0.006057, 0.027397, 1.361580, 0.999940, 0.026328,  -0.013812, 1.394300,
    0.008674, -0.000002, 0.092898, 0.000000, 0.008640, -0.000047, 0.092524,  0.000004,
    0.008646, -0.000187, 0.092581, 0.000017, 0.008641, -0.000420, 0.092490,  0.000039,
    0.008639, -0.000746, 0.092459, 0.000070, 0.008685, -0.001165, 0.092900,  0.000111,
    0.008697, -0.001677, 0.092853, 0.000164, 0.008743, -0.002281, 0.093091,  0.000231,
    0.008827, -0.002979, 0.093568, 0.000317, 0.008989, -0.003776, 0.094617,  0.000430,
    0.009293, -0.004692, 0.096741, 0.000580, 0.009783, -0.005755, 0.100084,  0.000784,
    0.010575, -0.007015, 0.105447, 0.001063, 0.011695, -0.008518, 0.112494,  0.001447,
    0.013042, -0.010276, 0.119876, 0.001964, 0.014837, -0.012381, 0.129034,  0.002664,
    0.016872, -0.014820, 0.137812, 0.003584, 0.019369, -0.017656, 0.147696,  0.004781,
    0.022269, -0.020921, 0.157795, 0.006317, 0.025689, -0.024665, 0.168431,  0.008263,
    0.029469, -0.028860, 0.178587, 0.010671, 0.034041, -0.033644, 0.190251,  0.013663,
    0.039392, -0.039033, 0.202999, 0.017327, 0.045395, -0.045009, 0.215655,  0.021745,
    0.052194, -0.051546, 0.228686, 0.026994, 0.060028, -0.058817, 0.242838,  0.033272,
    0.069240, -0.066723, 0.258145, 0.040646, 0.079383, -0.075240, 0.273565,  0.049224,
    0.090230, -0.084185, 0.287735, 0.059011, 0.102014, -0.093648, 0.301161,  0.070202,
    0.116054, -0.103967, 0.317438, 0.083200, 0.131910, -0.114622, 0.334166,  0.097795,
    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, 0.391010,  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, 0.449680,  0.355370,
    0.407105, -0.233516, 0.460747, 0.393838, 0.439037, -0.240801, 0.460624,  0.433747,
    0.477810, -0.247620, 0.465957, 0.477234, 0.510655, -0.251823, 0.460054,  0.520440,
    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, 0.390150,  0.827023,
    0.760782, -0.236782, 0.362594, 0.885651, 0.794220, -0.225923, 0.337110,  0.943756,
    0.824521, -0.213855, 0.308272, 1.008740, 0.854964, -0.197723, 0.278529,  1.067640,
    0.878065, -0.179209, 0.246208, 1.128360, 0.899834, -0.157569, 0.213290,  1.183180,
    0.918815, -0.133206, 0.181038, 1.231610, 0.934934, -0.106545, 0.146993,  1.276440,
    0.952115, -0.078057, 0.111175, 1.318420, 0.969060, -0.047828, 0.072855,  1.358390,
    0.985178, -0.016001, 0.032579, 1.396970, 1.000390, 0.017313,  -0.009526, 1.433120,
    0.003841, -0.000001, 0.061358, 0.000000, 0.003900, -0.000031, 0.062292,  0.000002,
    0.003900, -0.000126, 0.062263, 0.000008, 0.003895, -0.000282, 0.062066,  0.000018,
    0.003916, -0.000503, 0.062469, 0.000032, 0.003927, -0.000784, 0.062511,  0.000052,
    0.003961, -0.001129, 0.062817, 0.000078, 0.004019, -0.001538, 0.063329,  0.000114,
    0.004150, -0.002021, 0.064644, 0.000164, 0.004412, -0.002600, 0.067389,  0.000238,
    0.004844, -0.003310, 0.071653, 0.000346, 0.005491, -0.004190, 0.077500,  0.000506,
    0.006363, -0.005273, 0.084476, 0.000739, 0.007466, -0.006604, 0.092133,  0.001073,
    0.008766, -0.008188, 0.099707, 0.001537, 0.010313, -0.010081, 0.107433,  0.002172,
    0.012331, -0.012364, 0.117088, 0.003034, 0.014627, -0.015001, 0.126438,  0.004160,
    0.017229, -0.018053, 0.135672, 0.005615, 0.020425, -0.021596, 0.146244,  0.007478,
    0.024160, -0.025623, 0.157481, 0.009810, 0.028469, -0.030221, 0.169125,  0.012715,
    0.033445, -0.035333, 0.181659, 0.016245, 0.039125, -0.041085, 0.194400,  0.020542,
    0.045472, -0.047345, 0.207082, 0.025633, 0.053098, -0.054286, 0.221656,  0.031704,
    0.061536, -0.061838, 0.236036, 0.038832, 0.070336, -0.069763, 0.248398,  0.046974,
    0.081039, -0.078476, 0.263611, 0.056525, 0.092014, -0.087349, 0.275857,  0.067172,
    0.105584, -0.097365, 0.292555, 0.079811, 0.119506, -0.107271, 0.306333,  0.093594,
    0.134434, -0.117608, 0.318888, 0.109106, 0.153399, -0.128938, 0.337552,  0.127074,
    0.171258, -0.139944, 0.349955, 0.146430, 0.191059, -0.151288, 0.361545,  0.168000,
    0.215069, -0.163018, 0.378421, 0.192082, 0.237838, -0.174226, 0.388790,  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, 0.444710,  0.424955,
    0.459597, -0.242786, 0.451729, 0.468446, 0.495316, -0.248767, 0.450720,  0.513422,
    0.534903, -0.253351, 0.450924, 0.560618, 0.572369, -0.256277, 0.445266,  0.609677,
    0.612383, -0.257600, 0.438798, 0.660995, 0.644037, -0.256931, 0.421693,  0.713807,
    0.686749, -0.254036, 0.410900, 0.767616, 0.719814, -0.249785, 0.390151,  0.825330,
    0.754719, -0.244283, 0.367847, 0.888311, 0.792022, -0.235076, 0.345013,  0.948177,
    0.822404, -0.225061, 0.316193, 1.016610, 0.853084, -0.211113, 0.287013,  1.080750,
    0.879871, -0.194490, 0.255424, 1.145010, 0.901655, -0.174023, 0.222879,  1.202030,
    0.919957, -0.150900, 0.189890, 1.256980, 0.938412, -0.124923, 0.156060,  1.305880,
    0.953471, -0.096814, 0.120512, 1.352900, 0.970451, -0.066734, 0.082851,  1.398600,
    0.985522, -0.034734, 0.042446, 1.441480, 1.000990, -0.001022, 0.000679,  1.483980,
    0.000965, -0.000001, 0.030641, 0.000000, 0.000992, -0.000016, 0.031464,  0.000000,
    0.000991, -0.000063, 0.031363, 0.000002, 0.000975, -0.000141, 0.030360,  0.000005,
    0.000998, -0.000253, 0.031496, 0.000009, 0.001022, -0.000397, 0.031996,  0.000015,
    0.001079, -0.000578, 0.033138, 0.000025, 0.001216, -0.000817, 0.035940,  0.000042,
    0.001445, -0.001138, 0.039965, 0.000072, 0.001788, -0.001570, 0.045056,  0.000124,
    0.002257, -0.002141, 0.050803, 0.000209, 0.002856, -0.002877, 0.056844,  0.000342,
    0.003599, -0.003803, 0.063089, 0.000544, 0.004555, -0.004963, 0.070220,  0.000842,
    0.005691, -0.006379, 0.077343, 0.001267, 0.007169, -0.008135, 0.086084,  0.001866,
    0.008853, -0.010195, 0.094408, 0.002670, 0.010932, -0.012639, 0.103951,  0.003740,
    0.013370, -0.015488, 0.113786, 0.005130, 0.016153, -0.018732, 0.123477,  0.006889,
    0.019427, -0.022465, 0.133986, 0.009106, 0.023097, -0.026598, 0.143979,  0.011807,
    0.027363, -0.031285, 0.154645, 0.015127, 0.032390, -0.036595, 0.166765,  0.019179,
    0.037922, -0.042291, 0.177932, 0.023924, 0.044750, -0.048747, 0.191670,  0.029657,
    0.051939, -0.055640, 0.203224, 0.036292, 0.059946, -0.063165, 0.215652,  0.044059,
    0.070243, -0.071431, 0.232089, 0.053162, 0.080690, -0.080061, 0.245258,  0.063456,
    0.092319, -0.089281, 0.258609, 0.075248, 0.106938, -0.099310, 0.276654,  0.088891,
    0.121238, -0.109575, 0.289847, 0.104055, 0.138817, -0.120461, 0.307566,  0.121266,
    0.155950, -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, 0.411770, 0.763806, 0.709147, -0.256525, 0.395267,  0.824249,
    0.745367, -0.254677, 0.375013, 0.895100, 0.784715, -0.247892, 0.353906,  0.959317,
    0.818107, -0.240162, 0.327801, 1.031530, 0.847895, -0.229741, 0.298821,  1.106010,
    0.879603, -0.213084, 0.269115, 1.164000, 0.902605, -0.195242, 0.236606,  1.228540,
    0.922788, -0.174505, 0.203442, 1.290170, 0.944831, -0.150169, 0.169594,  1.341570,
    0.959656, -0.124099, 0.135909, 1.395600, 0.972399, -0.096063, 0.099056,  1.451280,
    0.986549, -0.065710, 0.060235, 1.503120, 1.000130, -0.033356, 0.018669,  1.553640,
    0.000006, -0.000000, 0.007783, 0.000000, 0.000000, -0.000000, 0.000028,  0.000000,
    0.000001, -0.000002, 0.000250, 0.000000, 0.000004, -0.000006, 0.000357,  0.000000,
    0.000008, -0.000017, 0.000516, 0.000000, 0.000024, -0.000045, 0.001022,  0.000001,
    0.000046, -0.000089, 0.001443, 0.000004, 0.000097, -0.000178, 0.002419,  0.000010,
    0.000171, -0.000314, 0.003549, 0.000024, 0.000293, -0.000520, 0.005138,  0.000050,
    0.000790, -0.001182, 0.023862, 0.000139, 0.001141, -0.001718, 0.028669,  0.000244,
    0.001761, -0.002497, 0.036857, 0.000421, 0.002223, -0.003337, 0.040047,  0.000657,
    0.003434, -0.004820, 0.053575, 0.001093, 0.004276, -0.006008, 0.057099,  0.001553,
    0.004614, -0.007376, 0.055108, 0.002150, 0.006957, -0.009714, 0.071577,  0.003165,
    0.008676, -0.012094, 0.079331, 0.004370, 0.010669, -0.014820, 0.086939,  0.005896,
    0.014035, -0.018350, 0.101572, 0.007988, 0.016894, -0.022006, 0.110180,  0.010423,
    0.020197, -0.026157, 0.119041, 0.013417, 0.025470, -0.031278, 0.135404,  0.017301,
    0.029838, -0.036247, 0.143700, 0.021543, 0.035159, -0.042237, 0.155120,  0.026888,
    0.042769, -0.048871, 0.171280, 0.033235, 0.049485, -0.055800, 0.181813,  0.040444,
    0.059239, -0.063558, 0.198745, 0.049004, 0.068146, -0.071838, 0.210497,  0.058824,
    0.080475, -0.080930, 0.228864, 0.070283, 0.094220, -0.090649, 0.247008,  0.083401,
    0.106777, -0.100216, 0.258812, 0.097595, 0.124471, -0.110827, 0.278617,  0.114162,
    0.138389, -0.121193, 0.287049, 0.131983, 0.159543, -0.132530, 0.307151,  0.152541,
    0.176432, -0.143611, 0.315640, 0.174673, 0.201723, -0.155480, 0.335380,  0.199842,
    0.229721, -0.167166, 0.355256, 0.227097, 0.250206, -0.178238, 0.360047,  0.256014,
    0.282118, -0.189905, 0.378761, 0.288550, 0.312821, -0.201033, 0.391810,  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, 0.427190, 0.637683, 0.599607, -0.263760, 0.415114,  0.703363,
    0.642220, -0.268687, 0.408715, 0.771363, 0.685698, -0.269400, 0.399722,  0.835740,
    0.732327, -0.266642, 0.388651, 0.897764, 0.769873, -0.267712, 0.369198,  0.983312,
    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,
};

const 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,
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    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,
};

const float ltc_disk_integral[64 * 64] = {
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.015873f, 0.047619f, 0.079365f, 0.111111f, 0.142857f, 0.174603f, 0.206349f, 0.238095f,
    0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f,
    0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f,
    0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000148f, 0.002454f, 0.008675f, 0.019560f,
    0.035433f, 0.056294f, 0.081819f, 0.111259f, 0.142857f, 0.174603f, 0.206349f, 0.238095f,
    0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f,
    0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f,
    0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000002f, 0.000761f, 0.003673f, 0.009403f, 0.018333f, 0.030683f,
    0.046556f, 0.065952f, 0.088768f, 0.114784f, 0.143618f, 0.174606f, 0.206349f, 0.238095f,
    0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460318f, 0.492064f,
    0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f,
    0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000039f, 0.000969f, 0.003703f, 0.008684f, 0.016189f, 0.026395f, 0.039409f,
    0.055282f, 0.074014f, 0.095554f, 0.119795f, 0.146560f, 0.175573f, 0.206388f, 0.238095f,
    0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f,
    0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f,
    0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000047f, 0.000895f, 0.003265f, 0.007514f, 0.013873f, 0.022495f, 0.033483f, 0.046897f,
    0.062770f, 0.081102f, 0.101860f, 0.124985f, 0.150372f, 0.177868f, 0.207245f, 0.238143f,
    0.269841f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f,
    0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f,
    0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000028f,
    0.000695f, 0.002655f, 0.006230f, 0.011623f, 0.018976f, 0.028384f, 0.039915f, 0.053606f,
    0.069479f, 0.087534f, 0.107749f, 0.130087f, 0.154481f, 0.180833f, 0.209005f, 0.238791f,
    0.269869f, 0.301587f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f,
    0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f,
    0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000007f, 0.000465f,
    0.002017f, 0.004975f, 0.009533f, 0.015821f, 0.023934f, 0.033937f, 0.045874f, 0.059772f,
    0.075645f, 0.093493f, 0.113302f, 0.135045f, 0.158678f, 0.184136f, 0.211325f, 0.240113f,
    0.270306f, 0.301594f, 0.333333f, 0.365079f, 0.396825f, 0.428571f, 0.460317f, 0.492064f,
    0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f,
    0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000260f, 0.001426f,
    0.003823f, 0.007642f, 0.013012f, 0.020025f, 0.028745f, 0.039218f, 0.051475f, 0.065535f,
    0.081408f, 0.099094f, 0.118583f, 0.139856f, 0.162882f, 0.187615f, 0.213991f, 0.241918f,
    0.271267f, 0.301847f, 0.333333f, 0.365079f, 0.396826f, 0.428572f, 0.460318f, 0.492064f,
    0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f,
    0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000109f, 0.000921f, 0.002807f,
    0.005966f, 0.010528f, 0.016585f, 0.024200f, 0.033420f, 0.044278f, 0.056796f, 0.070988f,
    0.086861f, 0.104415f, 0.123643f, 0.144531f, 0.167057f, 0.191188f, 0.216878f, 0.244062f,
    0.272649f, 0.302509f, 0.333442f, 0.365079f, 0.396826f, 0.428572f, 0.460318f, 0.492064f,
    0.523810f, 0.555556f, 0.587302f, 0.619048f, 0.650794f, 0.682540f, 0.714286f, 0.746032f,
    0.777778f, 0.809524f, 0.841270f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
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    0.006531f, 0.010672f, 0.015691f, 0.021515f, 0.028080f, 0.035332f, 0.043225f, 0.051717f,
    0.060775f, 0.070370f, 0.080474f, 0.091067f, 0.102128f, 0.113641f, 0.125591f, 0.137965f,
    0.150754f, 0.163947f, 0.177537f, 0.191516f, 0.205881f, 0.220626f, 0.235749f, 0.251248f,
    0.267121f, 0.283368f, 0.299992f, 0.316992f, 0.334374f, 0.352140f, 0.370296f, 0.388849f,
    0.407807f, 0.427178f, 0.446974f, 0.467207f, 0.487892f, 0.509046f, 0.530687f, 0.552839f,
    0.575527f, 0.598780f, 0.622634f, 0.647128f, 0.672308f, 0.698231f, 0.724958f, 0.752563f,
    0.781127f, 0.810733f, 0.841426f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000374f, 0.001821f, 0.004389f,
    0.008001f, 0.012559f, 0.017979f, 0.024182f, 0.031106f, 0.038695f, 0.046903f, 0.055690f,
    0.065023f, 0.074872f, 0.085211f, 0.096020f, 0.107279f, 0.118971f, 0.131084f, 0.143604f,
    0.156521f, 0.169825f, 0.183510f, 0.197569f, 0.211997f, 0.226789f, 0.241944f, 0.257458f,
    0.273331f, 0.289563f, 0.306154f, 0.323108f, 0.340426f, 0.358113f, 0.376175f, 0.394616f,
    0.413445f, 0.432671f, 0.452305f, 0.472358f, 0.492845f, 0.513783f, 0.535189f, 0.557087f,
    0.579500f, 0.602459f, 0.625997f, 0.650154f, 0.674976f, 0.700518f, 0.726845f, 0.754032f,
    0.782167f, 0.811344f, 0.841644f, 0.873016f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000020f, 0.000719f, 0.002598f, 0.005618f,
    0.009675f, 0.014663f, 0.020490f, 0.027080f, 0.034367f, 0.042297f, 0.050824f, 0.059909f,
    0.069517f, 0.079622f, 0.090198f, 0.101224f, 0.112682f, 0.124555f, 0.136831f, 0.149496f,
    0.162542f, 0.175958f, 0.189739f, 0.203877f, 0.218368f, 0.233208f, 0.248393f, 0.263923f,
    0.279796f, 0.296012f, 0.312573f, 0.329479f, 0.346734f, 0.364342f, 0.382307f, 0.400637f,
    0.419337f, 0.438418f, 0.457889f, 0.477761f, 0.498050f, 0.518770f, 0.539940f, 0.561581f,
    0.583718f, 0.606380f, 0.629599f, 0.653415f, 0.677874f, 0.703030f, 0.728948f, 0.755706f,
    0.783396f, 0.812121f, 0.841989f, 0.873035f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000114f, 0.001215f, 0.003561f, 0.007056f,
    0.011574f, 0.017003f, 0.023248f, 0.030232f, 0.037888f, 0.046164f, 0.055014f, 0.064399f,
    0.074287f, 0.084650f, 0.095464f, 0.106709f, 0.118367f, 0.130423f, 0.142862f, 0.155674f,
    0.168849f, 0.182378f, 0.196255f, 0.210473f, 0.225027f, 0.239915f, 0.255132f, 0.270678f,
    0.286551f, 0.302751f, 0.319280f, 0.336138f, 0.353330f, 0.370858f, 0.388728f, 0.406944f,
    0.425515f, 0.444449f, 0.463756f, 0.483447f, 0.503535f, 0.524036f, 0.544968f, 0.566350f,
    0.588208f, 0.610569f, 0.633466f, 0.656936f, 0.681025f, 0.705788f, 0.731289f, 0.757606f,
    0.784834f, 0.813085f, 0.842485f, 0.873130f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000000f, 0.000324f, 0.001887f, 0.004735f, 0.008727f,
    0.013724f, 0.019607f, 0.026280f, 0.033666f, 0.041699f, 0.050326f, 0.059504f, 0.069194f,
    0.079365f, 0.089989f, 0.101045f, 0.112512f, 0.124372f, 0.136611f, 0.149216f, 0.162176f,
    0.175482f, 0.189125f, 0.203098f, 0.217396f, 0.232015f, 0.246950f, 0.262200f, 0.277761f,
    0.293634f, 0.309819f, 0.326315f, 0.343126f, 0.360254f, 0.377701f, 0.395474f, 0.413577f,
    0.432018f, 0.450804f, 0.469944f, 0.489451f, 0.509337f, 0.529617f, 0.550307f, 0.571428f,
    0.593003f, 0.615059f, 0.637628f, 0.660746f, 0.684460f, 0.708820f, 0.733893f, 0.759756f,
    0.786505f, 0.814259f, 0.843157f, 0.873340f, 0.904762f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000003f, 0.000683f, 0.002764f, 0.006148f, 0.010661f,
    0.016155f, 0.022506f, 0.029620f, 0.037417f, 0.045835f, 0.054821f, 0.064333f, 0.074333f,
    0.084792f, 0.095683f, 0.106984f, 0.118675f, 0.130741f, 0.143166f, 0.155939f, 0.169049f,
    0.182487f, 0.196245f, 0.210317f, 0.224697f, 0.239380f, 0.254364f, 0.269646f, 0.285223f,
    0.301096f, 0.317265f, 0.333729f, 0.350491f, 0.367554f, 0.384920f, 0.402594f, 0.420582f,
    0.438891f, 0.457527f, 0.476499f, 0.495820f, 0.515500f, 0.535555f, 0.556000f, 0.576855f,
    0.598143f, 0.619888f, 0.642123f, 0.664883f, 0.688211f, 0.712160f, 0.736792f, 0.762186f,
    0.788439f, 0.815672f, 0.844034f, 0.873699f, 0.904765f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000066f, 0.001228f, 0.003880f, 0.007835f, 0.012895f,
    0.018905f, 0.025742f, 0.033309f, 0.041530f, 0.050342f, 0.059696f, 0.069550f, 0.079868f,
    0.090620f, 0.101783f, 0.113333f, 0.125254f, 0.137529f, 0.150144f, 0.163088f, 0.176351f,
    0.189924f, 0.203799f, 0.217970f, 0.232433f, 0.247182f, 0.262216f, 0.277530f, 0.293124f,
    0.308997f, 0.325149f, 0.341581f, 0.358294f, 0.375290f, 0.392573f, 0.410148f, 0.428019f,
    0.446192f, 0.464676f, 0.483478f, 0.502608f, 0.522079f, 0.541905f, 0.562100f, 0.582684f,
    0.603677f, 0.625106f, 0.646998f, 0.669390f, 0.692324f, 0.715849f, 0.740028f, 0.764937f,
    0.790673f, 0.817358f, 0.845150f, 0.874244f, 0.904828f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000260f, 0.002001f, 0.005278f, 0.009840f, 0.015475f,
    0.022025f, 0.029365f, 0.037402f, 0.046060f, 0.055280f, 0.065013f, 0.075218f, 0.085861f,
    0.096916f, 0.108356f, 0.120163f, 0.132319f, 0.144808f, 0.157618f, 0.170737f, 0.184155f,
    0.197866f, 0.211861f, 0.226134f, 0.240682f, 0.255499f, 0.270583f, 0.285931f, 0.301542f,
    0.317415f, 0.333550f, 0.349948f, 0.366610f, 0.383539f, 0.400738f, 0.418210f, 0.435961f,
    0.453997f, 0.472324f, 0.490951f, 0.509887f, 0.529144f, 0.548735f, 0.568674f, 0.588979f,
    0.609671f, 0.630773f, 0.652314f, 0.674328f, 0.696854f, 0.719942f, 0.743651f, 0.768057f,
    0.793253f, 0.819363f, 0.846547f, 0.875017f, 0.905021f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000000f, 0.000642f, 0.003053f, 0.007010f, 0.012219f, 0.018462f,
    0.025577f, 0.033444f, 0.041970f, 0.051082f, 0.060724f, 0.070849f, 0.081417f, 0.092397f,
    0.103763f, 0.115491f, 0.127562f, 0.139960f, 0.152670f, 0.165679f, 0.178979f, 0.192558f,
    0.206410f, 0.220529f, 0.234907f, 0.249542f, 0.264428f, 0.279564f, 0.294947f, 0.310575f,
    0.326448f, 0.342566f, 0.358929f, 0.375540f, 0.392399f, 0.409511f, 0.426878f, 0.444506f,
    0.462400f, 0.480566f, 0.499013f, 0.517749f, 0.536785f, 0.556134f, 0.575809f, 0.595827f,
    0.616207f, 0.636973f, 0.658150f, 0.679772f, 0.701876f, 0.724509f, 0.747730f, 0.771609f,
    0.796240f, 0.821743f, 0.848280f, 0.876069f, 0.905404f, 0.936508f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000020f, 0.001278f, 0.004450f, 0.009147f, 0.015050f, 0.021937f,
    0.029649f, 0.038068f, 0.047106f, 0.056694f, 0.066777f, 0.077310f, 0.088257f, 0.099588f,
    0.111277f, 0.123304f, 0.135650f, 0.148299f, 0.161237f, 0.174455f, 0.187941f, 0.201687f,
    0.215687f, 0.229933f, 0.244420f, 0.259145f, 0.274103f, 0.289293f, 0.304711f, 0.320357f,
    0.336230f, 0.352330f, 0.368658f, 0.385214f, 0.402002f, 0.419023f, 0.436282f, 0.453782f,
    0.471529f, 0.489528f, 0.507788f, 0.526317f, 0.545124f, 0.564221f, 0.583621f, 0.603341f,
    0.623397f, 0.643812f, 0.664611f, 0.685824f, 0.707488f, 0.729646f, 0.752354f, 0.775680f,
    0.799715f, 0.824574f, 0.850417f, 0.877466f, 0.906040f, 0.936528f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000183f, 0.002253f, 0.006282f, 0.011786f, 0.018436f, 0.026011f,
    0.034358f, 0.043364f, 0.052944f, 0.063033f, 0.073580f, 0.084544f, 0.095889f, 0.107588f,
    0.119617f, 0.131957f, 0.144591f, 0.157503f, 0.170682f, 0.184117f, 0.197799f, 0.211720f,
    0.225873f, 0.240253f, 0.254854f, 0.269673f, 0.284707f, 0.299953f, 0.315408f, 0.331073f,
    0.346946f, 0.363028f, 0.379318f, 0.395818f, 0.412530f, 0.429457f, 0.446602f, 0.463968f,
    0.481561f, 0.499386f, 0.517450f, 0.535761f, 0.554328f, 0.573162f, 0.592275f, 0.611681f,
    0.631398f, 0.651445f, 0.671845f, 0.692628f, 0.713827f, 0.735484f, 0.757650f, 0.780390f,
    0.803789f, 0.827960f, 0.853056f, 0.879298f, 0.907014f, 0.936691f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.000617f, 0.003679f, 0.008674f, 0.015068f, 0.022531f, 0.030851f,
    0.039880f, 0.049515f, 0.059675f, 0.070300f, 0.081343f, 0.092764f, 0.104533f, 0.116624f,
    0.129015f, 0.141687f, 0.154626f, 0.167818f, 0.181252f, 0.194918f, 0.208807f, 0.222913f,
    0.237229f, 0.251750f, 0.266473f, 0.281392f, 0.296505f, 0.311811f, 0.327306f, 0.342991f,
    0.358864f, 0.374925f, 0.391176f, 0.407616f, 0.424249f, 0.441076f, 0.458100f, 0.475324f,
    0.492754f, 0.510394f, 0.528251f, 0.546331f, 0.564644f, 0.583198f, 0.602005f, 0.621078f,
    0.640434f, 0.660089f, 0.680066f, 0.700390f, 0.721094f, 0.742215f, 0.763800f, 0.785912f,
    0.808628f, 0.832055f, 0.856338f, 0.881690f, 0.908441f, 0.937125f, 0.968254f, 1.000000f,
    0.000000f, 0.000000f, 0.001477f, 0.005732f, 0.011826f, 0.019212f, 0.027573f, 0.036710f,
    0.046487f, 0.056807f, 0.067598f, 0.078806f, 0.090386f, 0.102304f, 0.114532f, 0.127047f,
    0.139828f, 0.152861f, 0.166130f, 0.179624f, 0.193332f, 0.207247f, 0.221360f, 0.235666f,
    0.250158f, 0.264832f, 0.279684f, 0.294711f, 0.309911f, 0.325280f, 0.340819f, 0.356524f,
    0.372397f, 0.388438f, 0.404645f, 0.421022f, 0.437569f, 0.454287f, 0.471181f, 0.488253f,
    0.505507f, 0.522947f, 0.540580f, 0.558412f, 0.576449f, 0.594701f, 0.613178f, 0.631892f,
    0.650856f, 0.670088f, 0.689606f, 0.709434f, 0.729600f, 0.750138f, 0.771093f, 0.792519f,
    0.814488f, 0.837097f, 0.860481f, 0.884842f, 0.910494f, 0.937985f, 0.968254f, 1.000000f,
    0.000000f, 0.000096f, 0.003012f, 0.008704f, 0.016071f, 0.024590f, 0.033968f, 0.044025f,
    0.054641f, 0.065728f, 0.077225f, 0.089081f, 0.101260f, 0.113731f, 0.126469f, 0.139454f,
    0.152670f, 0.166101f, 0.179736f, 0.193565f, 0.207578f, 0.221769f, 0.236130f, 0.250656f,
    0.265343f, 0.280187f, 0.295183f, 0.310330f, 0.325624f, 0.341065f, 0.356650f, 0.372380f,
    0.388253f, 0.404269f, 0.420430f, 0.436735f, 0.453187f, 0.469786f, 0.486536f, 0.503439f,
    0.520498f, 0.537717f, 0.555102f, 0.572657f, 0.590390f, 0.608307f, 0.626419f, 0.644733f,
    0.663264f, 0.682025f, 0.701032f, 0.720308f, 0.739875f, 0.759764f, 0.780014f, 0.800673f,
    0.821803f, 0.843492f, 0.865860f, 0.889087f, 0.913466f, 0.939520f, 0.968350f, 1.000000f,
    0.000000f, 0.000727f, 0.005696f, 0.013170f, 0.022074f, 0.031940f, 0.042520f, 0.053660f,
    0.065258f, 0.077243f, 0.089562f, 0.102175f, 0.115050f, 0.128164f, 0.141495f, 0.155026f,
    0.168745f, 0.182639f, 0.196699f, 0.210915f, 0.225282f, 0.239792f, 0.254440f, 0.269223f,
    0.284135f, 0.299174f, 0.314337f, 0.329622f, 0.345026f, 0.360549f, 0.376189f, 0.391946f,
    0.407819f, 0.423808f, 0.439914f, 0.456137f, 0.472479f, 0.488940f, 0.505523f, 0.522230f,
    0.539064f, 0.556028f, 0.573125f, 0.590361f, 0.607741f, 0.625270f, 0.642957f, 0.660809f,
    0.678836f, 0.697050f, 0.715465f, 0.734098f, 0.752968f, 0.772101f, 0.791529f, 0.811290f,
    0.831438f, 0.852044f, 0.873210f, 0.895090f, 0.917932f, 0.942204f, 0.968981f, 1.000000f,
    0.000000f, 0.002796f, 0.010764f, 0.020645f, 0.031576f, 0.043202f, 0.055340f, 0.067877f,
    0.080740f, 0.093877f, 0.107250f, 0.120832f, 0.134598f, 0.148533f, 0.162620f, 0.176849f,
    0.191210f, 0.205694f, 0.220294f, 0.235005f, 0.249820f, 0.264737f, 0.279751f, 0.294859f,
    0.310058f, 0.325346f, 0.340721f, 0.356181f, 0.371725f, 0.387353f, 0.403063f, 0.418854f,
    0.434727f, 0.450682f, 0.466718f, 0.482837f, 0.499038f, 0.515324f, 0.531695f, 0.548153f,
    0.564700f, 0.581338f, 0.598070f, 0.614900f, 0.631830f, 0.648865f, 0.666011f, 0.683273f,
    0.700659f, 0.718176f, 0.735834f, 0.753646f, 0.771625f, 0.789790f, 0.808162f, 0.826771f,
    0.845654f, 0.864863f, 0.884472f, 0.904592f, 0.925407f, 0.947271f, 0.971050f, 1.000000f,
    0.000000f, 0.015873f, 0.031746f, 0.047619f, 0.063492f, 0.079365f, 0.095238f, 0.111111f,
    0.126984f, 0.142857f, 0.158730f, 0.174603f, 0.190476f, 0.206349f, 0.222222f, 0.238095f,
    0.253968f, 0.269841f, 0.285714f, 0.301587f, 0.317460f, 0.333333f, 0.349206f, 0.365079f,
    0.380952f, 0.396825f, 0.412698f, 0.428571f, 0.444444f, 0.460317f, 0.476190f, 0.492063f,
    0.507937f, 0.523810f, 0.539683f, 0.555556f, 0.571429f, 0.587302f, 0.603175f, 0.619048f,
    0.634921f, 0.650794f, 0.666667f, 0.682540f, 0.698413f, 0.714286f, 0.730159f, 0.746032f,
    0.761905f, 0.777778f, 0.793651f, 0.809524f, 0.825397f, 0.841270f, 0.857143f, 0.873016f,
    0.888889f, 0.904762f, 0.920635f, 0.936508f, 0.952381f, 0.968254f, 0.984127f, 1.000000f,
};

/* 4 different blue noise, one per channel */
const float blue_noise[64 * 64][4] = {
    {0.367188f, 0.855469f, 0.523438f, 0.375000f}, {0.242188f, 0.699219f, 0.164062f, 0.292969f},
    {0.828125f, 0.257812f, 0.449219f, 0.679688f}, {0.128906f, 0.523438f, 0.058594f, 0.164062f},
    {0.214844f, 0.648438f, 0.750000f, 0.492188f}, {0.535156f, 0.226562f, 0.492188f, 0.429688f},
    {0.050781f, 0.425781f, 0.886719f, 0.019531f}, {0.199219f, 0.785156f, 0.378906f, 0.984375f},
    {0.390625f, 0.039062f, 0.222656f, 0.777344f}, {0.574219f, 0.460938f, 0.687500f, 0.085938f},
    {0.757812f, 0.117188f, 0.968750f, 0.343750f}, {0.109375f, 0.398438f, 0.500000f, 0.871094f},
    {0.871094f, 0.796875f, 0.628906f, 0.132812f}, {0.289062f, 0.480469f, 0.851562f, 0.484375f},
    {0.519531f, 0.035156f, 0.234375f, 0.832031f}, {0.390625f, 0.558594f, 0.738281f, 0.636719f},
    {0.015625f, 0.648438f, 0.910156f, 0.507812f}, {0.199219f, 0.257812f, 0.640625f, 0.578125f},
    {0.359375f, 0.976562f, 0.855469f, 0.726562f}, {0.523438f, 0.445312f, 0.335938f, 0.304688f},
    {0.046875f, 0.296875f, 0.921875f, 0.687500f}, {0.476562f, 0.929688f, 0.777344f, 0.164062f},
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    {0.164062f, 0.527344f, 0.457031f, 0.003906f}, {0.617188f, 0.328125f, 0.742188f, 0.566406f},
    {0.367188f, 0.835938f, 0.972656f, 0.195312f}, {0.468750f, 0.136719f, 0.351562f, 0.695312f},
    {0.542969f, 0.679688f, 0.496094f, 0.480469f}, {0.695312f, 0.941406f, 0.855469f, 0.046875f},
    {0.933594f, 0.234375f, 0.312500f, 0.902344f}, {0.640625f, 0.527344f, 0.429688f, 0.804688f},
    {0.832031f, 0.375000f, 0.500000f, 0.640625f}, {0.046875f, 0.949219f, 0.066406f, 0.292969f},
    {0.984375f, 0.460938f, 0.390625f, 0.824219f}, {0.675781f, 0.066406f, 0.179688f, 0.058594f},
    {0.175781f, 0.992188f, 0.531250f, 0.664062f}, {0.785156f, 0.230469f, 0.660156f, 0.511719f},
    {0.089844f, 0.792969f, 0.300781f, 0.242188f}, {0.652344f, 0.292969f, 0.121094f, 0.699219f},
    {0.480469f, 0.535156f, 0.195312f, 0.433594f}, {0.363281f, 0.777344f, 0.933594f, 0.894531f},
    {0.550781f, 0.011719f, 0.273438f, 0.265625f}, {0.886719f, 0.871094f, 0.144531f, 0.410156f},
    {0.937500f, 0.679688f, 0.699219f, 0.515625f}, {0.183594f, 0.214844f, 0.218750f, 0.097656f},
    {0.855469f, 0.988281f, 0.777344f, 0.457031f}, {0.566406f, 0.761719f, 0.519531f, 0.593750f},
    {0.664062f, 0.394531f, 0.593750f, 0.308594f}, {0.960938f, 0.695312f, 0.113281f, 0.070312f},
    {0.007812f, 0.101562f, 0.425781f, 0.359375f}, {0.242188f, 0.742188f, 0.546875f, 0.042969f},
    {0.355469f, 0.480469f, 0.250000f, 0.921875f}, {0.433594f, 0.187500f, 0.828125f, 0.859375f},
    {0.035156f, 0.000000f, 0.894531f, 0.789062f}, {0.218750f, 0.343750f, 0.535156f, 0.285156f},
    {0.558594f, 0.523438f, 0.433594f, 0.734375f}, {0.371094f, 0.625000f, 0.273438f, 0.031250f},
    {0.652344f, 0.835938f, 0.875000f, 0.171875f}, {0.851562f, 0.375000f, 0.332031f, 0.550781f},
    {0.062500f, 0.605469f, 0.968750f, 0.371094f}, {0.417969f, 0.539062f, 0.031250f, 0.460938f},
    {0.097656f, 0.957031f, 0.820312f, 0.761719f}, {0.500000f, 0.750000f, 0.601562f, 0.191406f},
    {0.242188f, 0.472656f, 0.371094f, 0.535156f}, {0.757812f, 0.269531f, 0.660156f, 0.625000f},
    {0.343750f, 0.394531f, 0.453125f, 0.730469f}, {0.613281f, 0.535156f, 0.914062f, 0.332031f},
    {0.265625f, 0.085938f, 0.410156f, 0.097656f}, {0.410156f, 0.835938f, 0.980469f, 0.757812f},
    {0.832031f, 0.664062f, 0.484375f, 0.812500f}, {0.644531f, 0.128906f, 0.664062f, 0.593750f},
    {0.546875f, 0.761719f, 0.109375f, 0.191406f}, {0.207031f, 0.503906f, 0.304688f, 0.007812f},
    {0.667969f, 0.898438f, 0.812500f, 0.300781f}, {0.253906f, 0.230469f, 0.687500f, 0.921875f},
    {0.976562f, 0.468750f, 0.339844f, 0.687500f}, {0.519531f, 0.554688f, 0.003906f, 0.468750f},
    {0.769531f, 0.359375f, 0.632812f, 0.746094f}, {0.230469f, 0.929688f, 0.289062f, 0.933594f},
    {0.109375f, 0.695312f, 0.691406f, 0.367188f}, {0.328125f, 0.242188f, 0.246094f, 0.484375f},
    {0.984375f, 0.429688f, 0.984375f, 0.082031f}, {0.242188f, 0.910156f, 0.464844f, 0.582031f},
    {0.480469f, 0.488281f, 0.199219f, 0.957031f}, {0.300781f, 0.558594f, 0.835938f, 0.816406f},
    {0.437500f, 0.023438f, 0.957031f, 0.214844f}, {0.933594f, 0.687500f, 0.527344f, 0.859375f},
    {0.269531f, 0.800781f, 0.179688f, 0.511719f}, {0.039062f, 0.222656f, 0.871094f, 0.921875f},
    {0.894531f, 0.062500f, 0.628906f, 0.074219f}, {0.746094f, 0.546875f, 0.277344f, 0.820312f},
    {0.863281f, 0.343750f, 0.589844f, 0.265625f}, {0.335938f, 0.855469f, 0.105469f, 0.140625f},
    {0.078125f, 0.109375f, 0.707031f, 0.515625f}, {0.515625f, 0.722656f, 0.617188f, 0.226562f},
    {0.292969f, 0.886719f, 0.878906f, 0.027344f}, {0.214844f, 0.003906f, 0.937500f, 0.699219f},
    {0.554688f, 0.601562f, 0.757812f, 0.402344f}, {0.390625f, 0.324219f, 0.281250f, 0.207031f},
    {0.304688f, 0.128906f, 0.039062f, 0.957031f}, {0.960938f, 0.500000f, 0.808594f, 0.367188f},
    {0.265625f, 0.031250f, 0.406250f, 0.808594f}, {0.054688f, 0.925781f, 0.613281f, 0.871094f},
    {0.195312f, 0.429688f, 0.558594f, 0.539062f}, {0.835938f, 0.136719f, 0.828125f, 0.121094f},
    {0.699219f, 0.242188f, 0.015625f, 0.660156f}, {0.035156f, 0.464844f, 0.480469f, 0.835938f},
    {0.312500f, 0.554688f, 0.320312f, 0.003906f}, {0.738281f, 0.308594f, 0.093750f, 0.785156f},
    {0.484375f, 0.621094f, 0.406250f, 0.890625f}, {0.375000f, 0.160156f, 0.957031f, 0.386719f},
    {0.093750f, 0.882812f, 0.355469f, 0.125000f}, {0.410156f, 0.015625f, 0.644531f, 0.941406f},
    {0.593750f, 0.597656f, 0.722656f, 0.542969f}, {0.492188f, 0.531250f, 0.984375f, 0.734375f},
    {0.683594f, 0.265625f, 0.464844f, 0.398438f}, {0.835938f, 0.968750f, 0.035156f, 0.242188f},
    {0.945312f, 0.761719f, 0.328125f, 0.453125f}, {0.625000f, 0.246094f, 0.730469f, 0.910156f},
    {0.328125f, 0.078125f, 0.937500f, 0.593750f}, {0.902344f, 0.945312f, 0.015625f, 0.425781f},
    {0.171875f, 0.433594f, 0.488281f, 0.687500f}, {0.250000f, 0.312500f, 0.804688f, 0.781250f},
    {0.609375f, 0.781250f, 0.093750f, 0.941406f}, {0.312500f, 0.097656f, 0.687500f, 0.667969f},
    {0.710938f, 0.160156f, 0.425781f, 0.031250f}, {0.164062f, 0.355469f, 0.945312f, 0.878906f},
    {0.968750f, 0.628906f, 0.738281f, 0.261719f}, {0.839844f, 0.218750f, 0.296875f, 0.058594f},
    {0.128906f, 0.902344f, 0.875000f, 0.933594f}, {0.035156f, 0.726562f, 0.113281f, 0.207031f},
    {0.996094f, 0.335938f, 0.625000f, 0.464844f}, {0.531250f, 0.984375f, 0.277344f, 0.660156f},
    {0.066406f, 0.589844f, 0.148438f, 0.367188f}, {0.363281f, 0.242188f, 0.867188f, 0.707031f},
    {0.945312f, 0.953125f, 0.437500f, 0.527344f}, {0.042969f, 0.292969f, 0.535156f, 0.828125f},
    {0.492188f, 0.617188f, 0.175781f, 0.730469f}, {0.332031f, 0.785156f, 0.886719f, 0.351562f},
    {0.875000f, 0.984375f, 0.226562f, 0.179688f}, {0.062500f, 0.269531f, 0.839844f, 0.039062f},
    {0.292969f, 0.875000f, 0.960938f, 0.421875f}, {0.917969f, 0.175781f, 0.167969f, 0.867188f},
    {0.714844f, 0.324219f, 0.753906f, 0.000000f}, {0.593750f, 0.582031f, 0.523438f, 0.671875f},
    {0.421875f, 0.089844f, 0.117188f, 0.910156f}, {0.136719f, 0.652344f, 0.730469f, 0.402344f},
    {0.750000f, 0.363281f, 0.335938f, 0.179688f}, {0.906250f, 0.824219f, 0.660156f, 0.550781f},
    {0.199219f, 0.976562f, 0.128906f, 0.128906f}, {0.101562f, 0.125000f, 0.714844f, 0.664062f},
    {0.800781f, 0.378906f, 0.257812f, 0.296875f}, {0.515625f, 0.890625f, 0.027344f, 0.773438f},
    {0.414062f, 0.605469f, 0.082031f, 0.351562f}, {0.070312f, 0.765625f, 0.804688f, 0.585938f},
    {0.187500f, 0.433594f, 0.910156f, 0.968750f}, {0.796875f, 0.031250f, 0.468750f, 0.726562f},
    {0.457031f, 0.589844f, 0.156250f, 0.410156f}, {0.160156f, 0.312500f, 0.257812f, 0.949219f},
    {0.718750f, 0.785156f, 0.027344f, 0.363281f}, {0.773438f, 0.210938f, 0.554688f, 0.863281f},
    {0.476562f, 0.683594f, 0.335938f, 0.488281f}, {0.007812f, 0.765625f, 0.839844f, 0.769531f},
    {0.707031f, 0.859375f, 0.488281f, 0.605469f}, {0.445312f, 0.406250f, 0.230469f, 0.082031f},
    {0.566406f, 0.675781f, 0.746094f, 0.464844f}, {0.757812f, 0.582031f, 0.957031f, 0.023438f},
    {0.925781f, 0.843750f, 0.066406f, 0.183594f}, {0.281250f, 0.367188f, 0.429688f, 0.976562f},
    {0.125000f, 0.957031f, 0.644531f, 0.324219f}, {0.421875f, 0.746094f, 0.757812f, 0.214844f},
    {0.675781f, 0.410156f, 0.976562f, 0.933594f}, {0.074219f, 0.914062f, 0.851562f, 0.558594f},
    {0.617188f, 0.070312f, 0.667969f, 0.238281f}, {0.910156f, 0.457031f, 0.246094f, 0.742188f},
    {0.285156f, 0.335938f, 0.824219f, 0.636719f}, {0.722656f, 0.832031f, 0.007812f, 0.828125f},
    {0.816406f, 0.949219f, 0.289062f, 0.273438f}, {0.925781f, 0.152344f, 0.148438f, 0.675781f},
    {0.085938f, 0.359375f, 0.789062f, 0.187500f}, {0.277344f, 0.640625f, 0.585938f, 0.507812f},
    {0.164062f, 0.867188f, 0.105469f, 0.640625f}, {0.457031f, 0.570312f, 0.183594f, 0.050781f},
    {0.789062f, 0.675781f, 0.371094f, 0.203125f}, {0.050781f, 0.164062f, 0.675781f, 0.996094f},
    {0.726562f, 0.718750f, 0.152344f, 0.316406f}, {0.992188f, 0.210938f, 0.578125f, 0.066406f},
    {0.464844f, 0.894531f, 0.386719f, 0.242188f}, {0.792969f, 0.500000f, 0.203125f, 0.140625f},
    {0.925781f, 0.687500f, 0.527344f, 0.414062f}, {0.644531f, 0.062500f, 0.132812f, 0.824219f},
    {0.289062f, 0.847656f, 0.234375f, 0.492188f}, {0.390625f, 0.570312f, 0.054688f, 0.394531f},
    {0.554688f, 0.042969f, 0.546875f, 0.890625f}, {0.917969f, 0.796875f, 0.695312f, 0.589844f},
    {0.203125f, 0.207031f, 0.839844f, 0.273438f}, {0.773438f, 0.484375f, 0.355469f, 0.960938f},
    {0.699219f, 0.035156f, 0.593750f, 0.152344f}, {0.171875f, 0.410156f, 0.218750f, 0.050781f},
    {0.289062f, 0.824219f, 0.921875f, 0.406250f}, {0.851562f, 0.078125f, 0.765625f, 0.261719f},
    {0.781250f, 0.703125f, 0.066406f, 0.457031f}, {0.105469f, 0.000000f, 0.460938f, 0.546875f},
    {0.695312f, 0.140625f, 0.734375f, 0.792969f}, {0.187500f, 0.660156f, 0.515625f, 0.632812f},
    {0.636719f, 0.433594f, 0.085938f, 0.257812f}, {0.402344f, 0.500000f, 0.425781f, 0.562500f},
    {0.003906f, 0.019531f, 0.890625f, 0.214844f}, {0.878906f, 0.953125f, 0.816406f, 0.156250f},
    {0.503906f, 0.847656f, 0.058594f, 0.835938f}, {0.062500f, 0.746094f, 0.617188f, 0.738281f},
    {0.839844f, 0.058594f, 0.902344f, 0.312500f}, {0.691406f, 0.171875f, 0.496094f, 0.640625f},
    {0.390625f, 0.417969f, 0.378906f, 0.433594f}, {0.593750f, 0.742188f, 0.578125f, 0.945312f},
    {0.734375f, 0.484375f, 0.917969f, 0.722656f}, {0.316406f, 0.289062f, 0.667969f, 0.113281f},
    {0.675781f, 0.164062f, 0.429688f, 0.460938f}, {0.972656f, 0.984375f, 0.371094f, 0.628906f},
    {0.628906f, 0.257812f, 0.218750f, 0.015625f}, {0.242188f, 0.656250f, 0.773438f, 0.320312f},
    {0.589844f, 0.957031f, 0.984375f, 0.777344f}, {0.957031f, 0.492188f, 0.402344f, 0.550781f},
    {0.359375f, 0.144531f, 0.726562f, 0.105469f}, {0.859375f, 0.425781f, 0.203125f, 0.582031f},
    {0.113281f, 0.921875f, 0.128906f, 0.261719f}, {0.933594f, 0.253906f, 0.628906f, 0.144531f},
    {0.812500f, 0.570312f, 0.992188f, 0.890625f}, {0.148438f, 0.179688f, 0.093750f, 0.308594f},
    {0.894531f, 0.734375f, 0.160156f, 0.734375f}, {0.339844f, 0.269531f, 0.343750f, 0.628906f},
    {0.621094f, 0.089844f, 0.500000f, 0.394531f}, {0.523438f, 0.644531f, 0.906250f, 0.773438f},
    {0.796875f, 0.507812f, 0.203125f, 0.480469f}, {0.582031f, 0.042969f, 0.367188f, 0.710938f},
};

const float bsdf_split_sum_ggx[64 * 64 * 2] = {
    1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f,
    1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f,
    0.999512f, 0.000000f, 0.999512f, 0.000001f, 0.999512f, 0.000003f, 0.999512f, 0.000006f,
    0.999512f, 0.000011f, 0.999512f, 0.000020f, 0.999512f, 0.000034f, 0.999512f, 0.000057f,
    0.999512f, 0.000089f, 0.999023f, 0.000133f, 0.996582f, 0.000174f, 0.983887f, 0.000068f,
    0.983398f, 0.000099f, 0.982910f, 0.000140f, 0.982422f, 0.000192f, 0.980469f, 0.000251f,
    0.975098f, 0.000288f, 0.964844f, 0.000255f, 0.962402f, 0.000324f, 0.957520f, 0.000386f,
    0.947754f, 0.000402f, 0.939941f, 0.000443f, 0.931641f, 0.000499f, 0.919434f, 0.000515f,
    0.909668f, 0.000575f, 0.896484f, 0.000598f, 0.883789f, 0.000648f, 0.868652f, 0.000673f,
    0.854004f, 0.000715f, 0.837402f, 0.000743f, 0.819824f, 0.000767f, 0.801758f, 0.000795f,
    0.782715f, 0.000817f, 0.762695f, 0.000833f, 0.741699f, 0.000846f, 0.720703f, 0.000857f,
    0.698730f, 0.000864f, 0.676758f, 0.000868f, 0.654297f, 0.000868f, 0.631348f, 0.000865f,
    0.608887f, 0.000858f, 0.585938f, 0.000849f, 0.562988f, 0.000837f, 0.540527f, 0.000823f,
    0.518066f, 0.000807f, 0.496582f, 0.000789f, 0.474854f, 0.000769f, 0.453857f, 0.000748f,
    0.433350f, 0.000726f, 0.413086f, 0.000703f, 0.393799f, 0.000680f, 0.375000f, 0.000656f,
    0.356689f, 0.000632f, 0.339111f, 0.000607f, 0.322266f, 0.000584f, 0.306152f, 0.000559f,
    1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f,
    1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f,
    0.999512f, 0.000000f, 0.999512f, 0.000001f, 0.999512f, 0.000003f, 0.999512f, 0.000006f,
    0.999512f, 0.000011f, 0.999512f, 0.000020f, 0.999512f, 0.000035f, 0.999512f, 0.000057f,
    0.999512f, 0.000090f, 0.999023f, 0.000134f, 0.996582f, 0.000174f, 0.983887f, 0.000069f,
    0.983398f, 0.000100f, 0.982910f, 0.000141f, 0.982422f, 0.000193f, 0.980469f, 0.000252f,
    0.975098f, 0.000288f, 0.964844f, 0.000259f, 0.962402f, 0.000326f, 0.957520f, 0.000387f,
    0.947754f, 0.000401f, 0.939941f, 0.000445f, 0.931641f, 0.000500f, 0.919922f, 0.000520f,
    0.909668f, 0.000576f, 0.896484f, 0.000603f, 0.883789f, 0.000650f, 0.869141f, 0.000678f,
    0.854004f, 0.000716f, 0.837402f, 0.000744f, 0.819824f, 0.000771f, 0.801758f, 0.000796f,
    0.782715f, 0.000818f, 0.762695f, 0.000835f, 0.741699f, 0.000849f, 0.720703f, 0.000860f,
    0.698730f, 0.000866f, 0.676758f, 0.000869f, 0.654297f, 0.000869f, 0.631348f, 0.000866f,
    0.608887f, 0.000859f, 0.585938f, 0.000850f, 0.562988f, 0.000838f, 0.540527f, 0.000824f,
    0.518555f, 0.000808f, 0.496582f, 0.000790f, 0.474854f, 0.000771f, 0.453857f, 0.000750f,
    0.433350f, 0.000728f, 0.413330f, 0.000704f, 0.393799f, 0.000681f, 0.375000f, 0.000657f,
    0.356689f, 0.000632f, 0.339111f, 0.000608f, 0.322266f, 0.000584f, 0.306152f, 0.000560f,
    0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f,
    0.999512f, 0.000000f, 0.999512f, 0.000000f, 0.999512f, 0.000000f, 1.000000f, 0.000000f,
    0.999512f, 0.000001f, 0.999512f, 0.000002f, 0.999512f, 0.000003f, 0.999512f, 0.000006f,
    0.999512f, 0.000012f, 0.999512f, 0.000021f, 0.999512f, 0.000036f, 0.999512f, 0.000059f,
    0.999512f, 0.000093f, 0.999023f, 0.000138f, 0.996094f, 0.000172f, 0.984863f, 0.000086f,
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    0.661133f, 0.226685f, 0.665527f, 0.213867f, 0.670898f, 0.201538f, 0.676758f, 0.189697f,
    0.683105f, 0.178345f, 0.689453f, 0.167603f, 0.695801f, 0.157349f, 0.702148f, 0.147705f,
    0.708496f, 0.138550f, 0.714355f, 0.130005f, 0.719238f, 0.121948f, 0.724121f, 0.114319f,
    0.728027f, 0.107117f, 0.730957f, 0.100403f, 0.733398f, 0.094116f, 0.734375f, 0.088196f,
    0.734863f, 0.082642f, 0.734375f, 0.077393f, 0.732910f, 0.072571f, 0.730469f, 0.067993f,
    0.727051f, 0.063721f, 0.722656f, 0.059753f, 0.717773f, 0.056000f, 0.712402f, 0.052521f,
    0.705566f, 0.049255f, 0.698730f, 0.046204f, 0.690918f, 0.043335f, 0.682617f, 0.040649f,
    0.673828f, 0.038147f, 0.664551f, 0.035797f, 0.654785f, 0.033630f, 0.644531f, 0.031555f,
    0.633789f, 0.029663f, 0.623047f, 0.027863f, 0.611816f, 0.026169f, 0.600586f, 0.024597f,
    0.588867f, 0.023117f, 0.576660f, 0.021744f, 0.564941f, 0.020447f, 0.552734f, 0.019226f,
    0.540039f, 0.018082f, 0.527832f, 0.017014f, 0.515625f, 0.016006f, 0.503418f, 0.015068f,
    0.586914f, 0.409180f, 0.586914f, 0.409180f, 0.586914f, 0.409180f, 0.586914f, 0.409180f,
    0.586914f, 0.409180f, 0.586914f, 0.409180f, 0.586914f, 0.409180f, 0.586914f, 0.406982f,
    0.587891f, 0.402832f, 0.588379f, 0.397461f, 0.589355f, 0.389893f, 0.590332f, 0.380615f,
    0.591797f, 0.369385f, 0.593262f, 0.356445f, 0.595703f, 0.342041f, 0.598633f, 0.326904f,
    0.602539f, 0.310791f, 0.607422f, 0.294678f, 0.613281f, 0.278809f, 0.620117f, 0.262939f,
    0.627441f, 0.247803f, 0.635742f, 0.233154f, 0.644531f, 0.219238f, 0.653809f, 0.205933f,
    0.663086f, 0.193359f, 0.672363f, 0.181519f, 0.681152f, 0.170166f, 0.689941f, 0.159668f,
    0.697754f, 0.149658f, 0.705566f, 0.140259f, 0.712402f, 0.131348f, 0.718262f, 0.123169f,
    0.723633f, 0.115417f, 0.728027f, 0.108093f, 0.731445f, 0.101257f, 0.733398f, 0.094849f,
    0.734863f, 0.088867f, 0.735352f, 0.083313f, 0.734375f, 0.078064f, 0.732910f, 0.073120f,
    0.730469f, 0.068542f, 0.727051f, 0.064270f, 0.722656f, 0.060303f, 0.717773f, 0.056549f,
    0.711914f, 0.053040f, 0.705078f, 0.049774f, 0.698242f, 0.046722f, 0.690430f, 0.043854f,
    0.682129f, 0.041199f, 0.673340f, 0.038696f, 0.663574f, 0.036346f, 0.653809f, 0.034149f,
    0.644043f, 0.032104f, 0.633301f, 0.030182f, 0.622559f, 0.028381f, 0.611328f, 0.026688f,
    0.600098f, 0.025116f, 0.588379f, 0.023621f, 0.576172f, 0.022232f, 0.564453f, 0.020935f,
    0.552246f, 0.019714f, 0.540039f, 0.018570f, 0.527832f, 0.017487f, 0.515137f, 0.016479f,
    0.513672f, 0.480225f, 0.513672f, 0.480225f, 0.513672f, 0.480225f, 0.513672f, 0.480225f,
    0.513672f, 0.480225f, 0.513672f, 0.480225f, 0.513672f, 0.480225f, 0.514648f, 0.477051f,
    0.516113f, 0.470459f, 0.517578f, 0.461426f, 0.520020f, 0.449707f, 0.522949f, 0.435547f,
    0.526367f, 0.419189f, 0.530762f, 0.401123f, 0.536621f, 0.381836f, 0.543457f, 0.362061f,
    0.551758f, 0.342285f, 0.561523f, 0.322998f, 0.571777f, 0.304199f, 0.583496f, 0.286133f,
    0.595703f, 0.268799f, 0.607910f, 0.252441f, 0.620605f, 0.237061f, 0.633301f, 0.222412f,
    0.645508f, 0.208618f, 0.657227f, 0.195557f, 0.668945f, 0.183350f, 0.679688f, 0.171753f,
    0.689453f, 0.160889f, 0.698730f, 0.150757f, 0.707031f, 0.141113f, 0.714355f, 0.132202f,
    0.720703f, 0.123901f, 0.726074f, 0.116028f, 0.729980f, 0.108704f, 0.733398f, 0.101807f,
    0.735352f, 0.095398f, 0.736328f, 0.089417f, 0.736816f, 0.083801f, 0.735840f, 0.078552f,
    0.733887f, 0.073608f, 0.730957f, 0.069031f, 0.727539f, 0.064819f, 0.723145f, 0.060822f,
    0.717773f, 0.057098f, 0.711914f, 0.053589f, 0.705078f, 0.050323f, 0.698242f, 0.047302f,
    0.690430f, 0.044434f, 0.681641f, 0.041779f, 0.672852f, 0.039276f, 0.663574f, 0.036926f,
    0.653809f, 0.034729f, 0.644043f, 0.032684f, 0.633301f, 0.030777f, 0.622559f, 0.028976f,
    0.611816f, 0.027283f, 0.600098f, 0.025711f, 0.588867f, 0.024216f, 0.577148f, 0.022827f,
    0.564941f, 0.021530f, 0.553223f, 0.020294f, 0.541016f, 0.019150f, 0.528809f, 0.018066f,
    0.425781f, 0.564453f, 0.425781f, 0.564453f, 0.425781f, 0.564453f, 0.425781f, 0.564453f,
    0.425781f, 0.564453f, 0.425781f, 0.564453f, 0.425781f, 0.564453f, 0.427246f, 0.558594f,
    0.430176f, 0.547363f, 0.434082f, 0.532227f, 0.438965f, 0.513184f, 0.445312f, 0.491943f,
    0.453125f, 0.468262f, 0.462891f, 0.443848f, 0.474365f, 0.419434f, 0.487549f, 0.395264f,
    0.501953f, 0.372070f, 0.518066f, 0.349854f, 0.534180f, 0.328613f, 0.551270f, 0.308594f,
    0.568359f, 0.289795f, 0.584961f, 0.271729f, 0.601074f, 0.254883f, 0.617188f, 0.238892f,
    0.632324f, 0.223877f, 0.646484f, 0.209717f, 0.659668f, 0.196411f, 0.672363f, 0.183960f,
    0.683594f, 0.172241f, 0.693848f, 0.161255f, 0.703125f, 0.151001f, 0.711426f, 0.141357f,
    0.718750f, 0.132446f, 0.724609f, 0.124023f, 0.729980f, 0.116211f, 0.733887f, 0.108826f,
    0.736328f, 0.101990f, 0.738281f, 0.095642f, 0.738770f, 0.089661f, 0.738770f, 0.084106f,
    0.737305f, 0.078918f, 0.735352f, 0.074036f, 0.732422f, 0.069519f, 0.728516f, 0.065247f,
    0.723633f, 0.061310f, 0.718262f, 0.057617f, 0.712402f, 0.054169f, 0.705566f, 0.050934f,
    0.698242f, 0.047913f, 0.690430f, 0.045074f, 0.682129f, 0.042419f, 0.673340f, 0.039948f,
    0.664062f, 0.037598f, 0.654785f, 0.035431f, 0.644531f, 0.033386f, 0.634277f, 0.031464f,
    0.623535f, 0.029694f, 0.612793f, 0.028000f, 0.601562f, 0.026413f, 0.590332f, 0.024933f,
    0.578613f, 0.023529f, 0.566895f, 0.022217f, 0.555176f, 0.020981f, 0.543457f, 0.019836f,
    0.318848f, 0.661621f, 0.318848f, 0.661621f, 0.318848f, 0.661621f, 0.318848f, 0.661621f,
    0.318848f, 0.661621f, 0.318848f, 0.661621f, 0.318848f, 0.661621f, 0.322266f, 0.649414f,
    0.328613f, 0.627441f, 0.336914f, 0.600586f, 0.347900f, 0.570801f, 0.361572f, 0.539551f,
    0.377930f, 0.508789f, 0.396484f, 0.479248f, 0.416992f, 0.450928f, 0.438965f, 0.424072f,
    0.461426f, 0.398682f, 0.484131f, 0.374512f, 0.506348f, 0.351807f, 0.528320f, 0.330078f,
    0.549805f, 0.309570f, 0.569824f, 0.290039f, 0.589355f, 0.271973f, 0.607422f, 0.254639f,
    0.624512f, 0.238525f, 0.640137f, 0.223267f, 0.654785f, 0.208984f, 0.668457f, 0.195557f,
    0.680664f, 0.183105f, 0.691895f, 0.171387f, 0.701660f, 0.160522f, 0.710449f, 0.150269f,
    0.718262f, 0.140747f, 0.724609f, 0.131836f, 0.729980f, 0.123596f, 0.734375f, 0.115845f,
    0.737793f, 0.108643f, 0.740234f, 0.101868f, 0.741211f, 0.095581f, 0.741699f, 0.089722f,
    0.740723f, 0.084229f, 0.739258f, 0.079102f, 0.736816f, 0.074341f, 0.733398f, 0.069885f,
    0.729492f, 0.065735f, 0.724609f, 0.061859f, 0.719238f, 0.058197f, 0.712891f, 0.054779f,
    0.706543f, 0.051605f, 0.699219f, 0.048615f, 0.691406f, 0.045807f, 0.683105f, 0.043182f,
    0.674316f, 0.040710f, 0.665039f, 0.038422f, 0.655762f, 0.036255f, 0.645508f, 0.034210f,
    0.635254f, 0.032318f, 0.625000f, 0.030518f, 0.614258f, 0.028839f, 0.603516f, 0.027252f,
    0.592285f, 0.025757f, 0.581055f, 0.024368f, 0.569336f, 0.023041f, 0.558105f, 0.021805f,
    0.193481f, 0.746094f, 0.193481f, 0.746094f, 0.193481f, 0.746094f, 0.193481f, 0.746094f,
    0.193481f, 0.746094f, 0.193481f, 0.746094f, 0.193481f, 0.746094f, 0.202271f, 0.719238f,
    0.218872f, 0.678711f, 0.239990f, 0.639648f, 0.264893f, 0.603027f, 0.292725f, 0.568848f,
    0.322266f, 0.537109f, 0.352783f, 0.506348f, 0.383057f, 0.477295f, 0.413086f, 0.449219f,
    0.441895f, 0.422119f, 0.469482f, 0.396484f, 0.495850f, 0.371826f, 0.520508f, 0.348633f,
    0.543945f, 0.326660f, 0.565918f, 0.305908f, 0.586426f, 0.286377f, 0.605469f, 0.268066f,
    0.623047f, 0.250732f, 0.639160f, 0.234863f, 0.654297f, 0.219849f, 0.667969f, 0.205811f,
    0.680176f, 0.192627f, 0.691406f, 0.180420f, 0.701660f, 0.168945f, 0.710938f, 0.158325f,
    0.718750f, 0.148438f, 0.725586f, 0.139160f, 0.730957f, 0.130493f, 0.735840f, 0.122498f,
    0.739258f, 0.114990f, 0.742188f, 0.107971f, 0.743652f, 0.101440f, 0.744141f, 0.095276f,
    0.744141f, 0.089600f, 0.743164f, 0.084290f, 0.741211f, 0.079285f, 0.738281f, 0.074646f,
    0.734863f, 0.070251f, 0.730469f, 0.066162f, 0.725586f, 0.062378f, 0.719727f, 0.058807f,
    0.713867f, 0.055450f, 0.707031f, 0.052338f, 0.699707f, 0.049377f, 0.691895f, 0.046631f,
    0.683594f, 0.044037f, 0.675293f, 0.041595f, 0.666016f, 0.039307f, 0.656738f, 0.037170f,
    0.646973f, 0.035156f, 0.637207f, 0.033264f, 0.626953f, 0.031464f, 0.616211f, 0.029800f,
    0.605469f, 0.028229f, 0.594727f, 0.026733f, 0.583496f, 0.025330f, 0.572266f, 0.024017f,
    0.129028f, 0.758301f, 0.129028f, 0.758301f, 0.129028f, 0.758301f, 0.129028f, 0.758301f,
    0.129028f, 0.758301f, 0.129028f, 0.758301f, 0.129028f, 0.758301f, 0.153564f, 0.733887f,
    0.189453f, 0.698242f, 0.225830f, 0.661621f, 0.261963f, 0.625488f, 0.297363f, 0.590332f,
    0.331543f, 0.556152f, 0.364502f, 0.522949f, 0.395752f, 0.491699f, 0.425781f, 0.461670f,
    0.454102f, 0.433350f, 0.480957f, 0.406494f, 0.505859f, 0.381104f, 0.529785f, 0.357178f,
    0.551758f, 0.334717f, 0.572754f, 0.313721f, 0.592285f, 0.293945f, 0.610352f, 0.275391f,
    0.626953f, 0.258057f, 0.642578f, 0.242065f, 0.656738f, 0.226807f, 0.670410f, 0.212646f,
    0.682129f, 0.199463f, 0.693359f, 0.187012f, 0.703125f, 0.175537f, 0.711914f, 0.164673f,
    0.719727f, 0.154663f, 0.726562f, 0.145264f, 0.732422f, 0.136475f, 0.737305f, 0.128174f,
    0.741211f, 0.120544f, 0.743652f, 0.113403f, 0.745605f, 0.106689f, 0.747070f, 0.100464f,
    0.747070f, 0.094604f, 0.746094f, 0.089111f, 0.744629f, 0.083984f, 0.742676f, 0.079163f,
    0.739258f, 0.074707f, 0.735840f, 0.070435f, 0.731445f, 0.066528f, 0.726074f, 0.062805f,
    0.720703f, 0.059357f, 0.714355f, 0.056091f, 0.707520f, 0.053040f, 0.700684f, 0.050171f,
    0.692871f, 0.047455f, 0.684570f, 0.044922f, 0.676270f, 0.042542f, 0.667480f, 0.040283f,
    0.658203f, 0.038177f, 0.648438f, 0.036194f, 0.638672f, 0.034302f, 0.628906f, 0.032532f,
    0.618652f, 0.030884f, 0.607910f, 0.029312f, 0.597656f, 0.027832f, 0.586426f, 0.026428f,
};

const float btdf_split_sum_ggx[16][64 * 64 * 2] = {
    {
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
        0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f, 0.000000f, 1.000000f,
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