LTCSheen.hpp

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// Sheen LTC coefficients from Zeltner/Burley/Chiang 2022, volume fit.
// https://github.com/tizian/ltc-sheen/blob/master/fitting/python/data/ltc_table_sheen_volume.cpp
// Layout: RGBA32F, x = cos(theta_i), y = roughness, xyz = (transformA, transformB, albedo).
#pragma once
constexpr float kSheenLTCLut[32 * 32 * 4] = {
    0.01415f, 0.00060f, 0.00001f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.01941f, -0.00232f, 0.05839f, 0.0f,
    0.01741f, -0.00581f, 0.00071f, 0.0f,
    0.04610f, -0.00769f, 0.00007f, 0.0f,
    0.10367f, -0.00740f, 0.00002f, 0.0f,
    0.06244f, -0.02445f, 0.00000f, 0.0f,
    0.23927f, -0.00242f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.01927f, -0.01424f, 0.38834f, 0.0f,
    0.01895f, -0.00218f, 0.09768f, 0.0f,
    0.03002f, -0.00194f, 0.01072f, 0.0f,
    0.03912f, -0.00384f, 0.00150f, 0.0f,
    0.04938f, -0.00668f, 0.00039f, 0.0f,
    0.05239f, -0.01107f, 0.00012f, 0.0f,
    0.06018f, -0.00746f, 0.00006f, 0.0f,
    0.06520f, -0.01591f, 0.00003f, 0.0f,
    0.08253f, -0.01052f, 0.00002f, 0.0f,
    0.21093f, -0.01495f, 0.00002f, 0.0f,
    0.12785f, -0.01530f, 0.00001f, 0.0f,
    0.19030f, -0.01428f, 0.00001f, 0.0f,
    0.15254f, -0.01276f, 0.00000f, 0.0f,
    0.16585f, -0.02071f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.03084f, -0.04909f, 0.55348f, 0.0f,
    0.03764f, -0.00710f, 0.29827f, 0.0f,
    0.03952f, -0.00236f, 0.11755f, 0.0f,
    0.04092f, -0.00201f, 0.03677f, 0.0f,
    0.04433f, -0.00298f, 0.00983f, 0.0f,
    0.05014f, -0.00546f, 0.00288f, 0.0f,
    0.05570f, -0.00834f, 0.00101f, 0.0f,
    0.06215f, -0.01121f, 0.00046f, 0.0f,
    0.06660f, -0.01294f, 0.00023f, 0.0f,
    0.07902f, -0.01692f, 0.00014f, 0.0f,
    0.10099f, -0.01639f, 0.00010f, 0.0f,
    0.10794f, -0.01738f, 0.00006f, 0.0f,
    0.10632f, -0.02032f, 0.00004f, 0.0f,
    0.12623f, -0.01947f, 0.00003f, 0.0f,
    0.13931f, -0.02354f, 0.00002f, 0.0f,
    0.15353f, -0.02910f, 0.00002f, 0.0f,
    0.16109f, -0.02565f, 0.00001f, 0.0f,
    0.14583f, -0.02903f, 0.00001f, 0.0f,
    0.27891f, -0.03066f, 0.00001f, 0.0f,
    0.22622f, -0.03044f, 0.00001f, 0.0f,
    0.18932f, -0.04045f, 0.00001f, 0.0f,
    0.20219f, -0.03226f, 0.00000f, 0.0f,
    0.30269f, -0.03443f, 0.00000f, 0.0f,
    0.38379f, -0.03023f, 0.00000f, 0.0f,
    0.39038f, -0.03610f, 0.00000f, 0.0f,
    0.46310f, -0.02022f, 0.00000f, 0.0f,
    0.44663f, -0.02590f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.00000f, 0.00000f, 0.00000f, 0.0f,
    0.04118f, -0.10668f, 0.63273f, 0.0f,
    0.05152f, -0.02772f, 0.42999f, 0.0f,
    0.05724f, -0.00717f, 0.24931f, 0.0f,
    0.05863f, -0.00421f, 0.13040f, 0.0f,
    0.05952f, -0.00351f, 0.05910f, 0.0f,
    0.06149f, -0.00399f, 0.02430f, 0.0f,
    0.06448f, -0.00522f, 0.00981f, 0.0f,
    0.07004f, -0.00676f, 0.00433f, 0.0f,
    0.07774f, -0.00866f, 0.00200f, 0.0f,
    0.08632f, -0.01099f, 0.00105f, 0.0f,
    0.09629f, -0.01332f, 0.00062f, 0.0f,
    0.10592f, -0.01590f, 0.00039f, 0.0f,
    0.10718f, -0.01724f, 0.00024f, 0.0f,
    0.12207f, -0.02041f, 0.00018f, 0.0f,
    0.13413f, -0.02237f, 0.00013f, 0.0f,
    0.13702f, -0.02503f, 0.00009f, 0.0f,
    0.15294f, -0.02664f, 0.00008f, 0.0f,
    0.15121f, -0.02803f, 0.00006f, 0.0f,
    0.17652f, -0.03188f, 0.00005f, 0.0f,
    0.19532f, -0.03147f, 0.00004f, 0.0f,
    0.20831f, -0.03346f, 0.00003f, 0.0f,
    0.19762f, -0.03476f, 0.00002f, 0.0f,
    0.24202f, -0.03464f, 0.00002f, 0.0f,
    0.32995f, -0.03125f, 0.00002f, 0.0f,
    0.30857f, -0.03303f, 0.00002f, 0.0f,
    0.39596f, -0.03009f, 0.00002f, 0.0f,
    0.38346f, -0.03198f, 0.00001f, 0.0f,
    0.42503f, -0.02518f, 0.00001f, 0.0f,
    0.41592f, -0.03195f, 0.00001f, 0.0f,
    0.42512f, -0.01668f, 0.00001f, 0.0f,
    0.36714f, -0.02978f, 0.00001f, 0.0f,
    0.46502f, -0.00394f, 0.00001f, 0.0f,
    0.05088f, -0.16006f, 0.67021f, 0.0f,
    0.06485f, -0.05552f, 0.50797f, 0.0f,
    0.07697f, -0.01274f, 0.34475f, 0.0f,
    0.08334f, -0.00932f, 0.22264f, 0.0f,
    0.08654f, -0.00582f, 0.13300f, 0.0f,
    0.08950f, -0.00507f, 0.07375f, 0.0f,
    0.09263f, -0.00531f, 0.03867f, 0.0f,
    0.09711f, -0.00616f, 0.02006f, 0.0f,
    0.10113f, -0.00792f, 0.01032f, 0.0f,
    0.10913f, -0.00949f, 0.00570f, 0.0f,
    0.11586f, -0.01167f, 0.00324f, 0.0f,
    0.12425f, -0.01421f, 0.00197f, 0.0f,
    0.12986f, -0.01635f, 0.00122f, 0.0f,
    0.13530f, -0.01858f, 0.00080f, 0.0f,
    0.15037f, -0.02237f, 0.00059f, 0.0f,
    0.15165f, -0.02450f, 0.00040f, 0.0f,
    0.15858f, -0.02714f, 0.00030f, 0.0f,
    0.16660f, -0.03145f, 0.00022f, 0.0f,
    0.18051f, -0.03321f, 0.00018f, 0.0f,
    0.18022f, -0.03295f, 0.00013f, 0.0f,
    0.19896f, -0.03492f, 0.00012f, 0.0f,
    0.21095f, -0.03365f, 0.00009f, 0.0f,
    0.21862f, -0.03733f, 0.00008f, 0.0f,
    0.23861f, -0.03930f, 0.00007f, 0.0f,
    0.25384f, -0.03879f, 0.00006f, 0.0f,
    0.27394f, -0.03580f, 0.00005f, 0.0f,
    0.28563f, -0.04089f, 0.00004f, 0.0f,
    0.29160f, -0.03604f, 0.00003f, 0.0f,
    0.29300f, -0.03863f, 0.00003f, 0.0f,
    0.33458f, -0.03575f, 0.00002f, 0.0f,
    0.36514f, -0.02621f, 0.00002f, 0.0f,
    0.38746f, 0.00124f, 0.00002f, 0.0f,
    0.06054f, -0.18133f, 0.68765f, 0.0f,
    0.07710f, -0.08871f, 0.55387f, 0.0f,
    0.09569f, -0.02800f, 0.41042f, 0.0f,
    0.10917f, -0.01456f, 0.29613f, 0.0f,
    0.11813f, -0.01052f, 0.20481f, 0.0f,
    0.12469f, -0.00904f, 0.13463f, 0.0f,
    0.12958f, -0.00864f, 0.08432f, 0.0f,
    0.13406f, -0.00898f, 0.05135f, 0.0f,
    0.13801f, -0.01019f, 0.03073f, 0.0f,
    0.14324f, -0.01110f, 0.01861f, 0.0f,
    0.14801f, -0.01354f, 0.01132f, 0.0f,
    0.15359f, -0.01614f, 0.00706f, 0.0f,
    0.15945f, -0.01922f, 0.00454f, 0.0f,
    0.16688f, -0.02116f, 0.00304f, 0.0f,
    0.17552f, -0.02363f, 0.00212f, 0.0f,
    0.17956f, -0.02606f, 0.00145f, 0.0f,
    0.18275f, -0.02887f, 0.00102f, 0.0f,
    0.19293f, -0.03270f, 0.00078f, 0.0f,
    0.20081f, -0.03492f, 0.00059f, 0.0f,
    0.20817f, -0.03607f, 0.00046f, 0.0f,
    0.21658f, -0.03714f, 0.00036f, 0.0f,
    0.22866f, -0.03827f, 0.00030f, 0.0f,
    0.23912f, -0.03832f, 0.00025f, 0.0f,
    0.24736f, -0.03918f, 0.00020f, 0.0f,
    0.26573f, -0.04071f, 0.00017f, 0.0f,
    0.26821f, -0.04382f, 0.00013f, 0.0f,
    0.28767f, -0.03860f, 0.00012f, 0.0f,
    0.30592f, -0.03690f, 0.00010f, 0.0f,
    0.31228f, -0.04032f, 0.00008f, 0.0f,
    0.35297f, -0.03136f, 0.00008f, 0.0f,
    0.35570f, -0.02365f, 0.00006f, 0.0f,
    0.37077f, -0.00281f, 0.00006f, 0.0f,
    0.07075f, -0.18042f, 0.69478f, 0.0f,
    0.08974f, -0.10806f, 0.58263f, 0.0f,
    0.11306f, -0.04959f, 0.45689f, 0.0f,
    0.13241f, -0.02418f, 0.35318f, 0.0f,
    0.14704f, -0.01632f, 0.26617f, 0.0f,
    0.15763f, -0.01333f, 0.19342f, 0.0f,
    0.16591f, -0.01204f, 0.13650f, 0.0f,
    0.17258f, -0.01177f, 0.09391f, 0.0f,
    0.17781f, -0.01198f, 0.06299f, 0.0f,
    0.18234f, -0.01284f, 0.04183f, 0.0f,
    0.18700f, -0.01408f, 0.02782f, 0.0f,
    0.19101f, -0.01571f, 0.01845f, 0.0f,
    0.19657f, -0.01794f, 0.01259f, 0.0f,
    0.20165f, -0.02041f, 0.00864f, 0.0f,
    0.20731f, -0.02235f, 0.00604f, 0.0f,
    0.21150f, -0.02516f, 0.00421f, 0.0f,
    0.21692f, -0.02822f, 0.00303f, 0.0f,
    0.22536f, -0.03168f, 0.00228f, 0.0f,
    0.23235f, -0.03631f, 0.00172f, 0.0f,
    0.23720f, -0.03840f, 0.00129f, 0.0f,
    0.24295f, -0.04024f, 0.00099f, 0.0f,
    0.25154f, -0.04645f, 0.00079f, 0.0f,
    0.26200f, -0.04435f, 0.00066f, 0.0f,
    0.26907f, -0.04644f, 0.00052f, 0.0f,
    0.28040f, -0.04369f, 0.00044f, 0.0f,
    0.28922f, -0.05007f, 0.00034f, 0.0f,
    0.30452f, -0.04809f, 0.00029f, 0.0f,
    0.31567f, -0.04719f, 0.00024f, 0.0f,
    0.33294f, -0.04179f, 0.00021f, 0.0f,
    0.35084f, -0.03537f, 0.00019f, 0.0f,
    0.37226f, -0.02633f, 0.00017f, 0.0f,
    0.37956f, 0.00196f, 0.00013f, 0.0f,
    0.08222f, -0.17531f, 0.69794f, 0.0f,
    0.10394f, -0.13135f, 0.60100f, 0.0f,
    0.13034f, -0.08092f, 0.49085f, 0.0f,
    0.15361f, -0.04065f, 0.39802f, 0.0f,
    0.17244f, -0.02431f, 0.31773f, 0.0f,
    0.18620f, -0.01864f, 0.24683f, 0.0f,
    0.19671f, -0.01620f, 0.18787f, 0.0f,
    0.20509f, -0.01498f, 0.13964f, 0.0f,
    0.21199f, -0.01460f, 0.10220f, 0.0f,
    0.21726f, -0.01487f, 0.07319f, 0.0f,
    0.22245f, -0.01549f, 0.05252f, 0.0f,
    0.22702f, -0.01665f, 0.03747f, 0.0f,
    0.23174f, -0.01802f, 0.02685f, 0.0f,
    0.23571f, -0.01985f, 0.01915f, 0.0f,
    0.23966f, -0.02185f, 0.01375f, 0.0f,
    0.24384f, -0.02424f, 0.00996f, 0.0f,
    0.24877f, -0.02636f, 0.00733f, 0.0f,
    0.25548f, -0.02871f, 0.00552f, 0.0f,
    0.26047f, -0.03133f, 0.00415f, 0.0f,
    0.26863f, -0.03455f, 0.00322f, 0.0f,
    0.27404f, -0.03705f, 0.00247f, 0.0f,
    0.28088f, -0.03931f, 0.00194f, 0.0f,
    0.29010f, -0.04546f, 0.00157f, 0.0f,
    0.29704f, -0.04797f, 0.00126f, 0.0f,
    0.30559f, -0.04990f, 0.00102f, 0.0f,
    0.31519f, -0.04903f, 0.00082f, 0.0f,
    0.32721f, -0.04842f, 0.00069f, 0.0f,
    0.33828f, -0.04495f, 0.00059f, 0.0f,
    0.35424f, -0.04310f, 0.00048f, 0.0f,
    0.36868f, -0.03925f, 0.00042f, 0.0f,
    0.38570f, -0.02709f, 0.00037f, 0.0f,
    0.39707f, 0.00103f, 0.00030f, 0.0f,
    0.09597f, -0.17397f, 0.69862f, 0.0f,
    0.11972f, -0.15003f, 0.61474f, 0.0f,
    0.14796f, -0.10394f, 0.51662f, 0.0f,
    0.17350f, -0.06278f, 0.43321f, 0.0f,
    0.19481f, -0.03698f, 0.35989f, 0.0f,
    0.21136f, -0.02667f, 0.29352f, 0.0f,
    0.22369f, -0.02186f, 0.23483f, 0.0f,
    0.23330f, -0.01962f, 0.18491f, 0.0f,
    0.24109f, -0.01854f, 0.14298f, 0.0f,
    0.24787f, -0.01810f, 0.10960f, 0.0f,
    0.25359f, -0.01829f, 0.08309f, 0.0f,
    0.25878f, -0.01882f, 0.06268f, 0.0f,
    0.26320f, -0.01990f, 0.04689f, 0.0f,
    0.26831f, -0.02103f, 0.03539f, 0.0f,
    0.27305f, -0.02243f, 0.02666f, 0.0f,
    0.27810f, -0.02425f, 0.02015f, 0.0f,
    0.28206f, -0.02611f, 0.01519f, 0.0f,
    0.28734f, -0.02809f, 0.01160f, 0.0f,
    0.29228f, -0.03045f, 0.00888f, 0.0f,
    0.29719f, -0.03211f, 0.00683f, 0.0f,
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