a06c9b5ca8
Based on the paper "Practical Hash-based Owen Scrambling" by Brent Burley, 2020, Journal of Computer Graphics Techniques. It is distinct from the existing Sobol sampler in two important ways: * It is Owen scrambled, which gives it a much better convergence rate in many situations. * It uses padding for higher dimensions, rather than using higher Sobol dimensions directly. In practice this is advantagous because high-dimensional Sobol sequences have holes in their sampling patterns that don't resolve until an unreasonable number of samples are taken. (See Burley's paper for details.) The pattern reduces noise in some benchmark scenes, however it is also slower, particularly on the CPU. So for now Progressive Multi-Jittered sampling remains the default. Differential Revision: https://developer.blender.org/D15679
120 lines
6.1 KiB
C++
120 lines
6.1 KiB
C++
/* SPDX-License-Identifier: Apache-2.0
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* Copyright 2011-2022 Blender Foundation */
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/* clang-format off */
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ccl_inline_constant float blackbody_table_r[][3] = {
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{1.61919106e+03f, -2.05010916e-03f, 5.02995757e+00f},
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{2.48845471e+03f, -1.11330907e-03f, 3.22621544e+00f},
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{3.34143193e+03f, -4.86551192e-04f, 1.76486769e+00f},
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{4.09461742e+03f, -1.27446582e-04f, 7.25731635e-01f},
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{4.67028036e+03f, 2.91258199e-05f, 1.26703442e-01f},
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{4.59509185e+03f, 2.87495649e-05f, 1.50345020e-01f},
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{3.78717450e+03f, 9.35907826e-06f, 3.99075871e-01f}
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};
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ccl_inline_constant float blackbody_table_g[][3] = {
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{-4.88999748e+02f, 6.04330754e-04f, -7.55807526e-02f},
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{-7.55994277e+02f, 3.16730098e-04f, 4.78306139e-01f},
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{-1.02363977e+03f, 1.20223470e-04f, 9.36662319e-01f},
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{-1.26571316e+03f, 4.87340896e-06f, 1.27054498e+00f},
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{-1.42529332e+03f, -4.01150431e-05f, 1.43972784e+00f},
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{-1.17554822e+03f, -2.16378048e-05f, 1.30408023e+00f},
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{-5.00799571e+02f, -4.59832026e-06f, 1.09098763e+00f}
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};
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ccl_inline_constant float blackbody_table_b[][4] = {
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{5.96945309e-11f, -4.85742887e-08f, -9.70622247e-05f, -4.07936148e-03f},
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{2.40430366e-11f, 5.55021075e-08f, -1.98503712e-04f, 2.89312858e-02f},
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{-1.40949732e-11f, 1.89878968e-07f, -3.56632824e-04f, 9.10767778e-02f},
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{-3.61460868e-11f, 2.84822009e-07f, -4.93211319e-04f, 1.56723440e-01f},
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{-1.97075738e-11f, 1.75359352e-07f, -2.50542825e-04f, -2.22783266e-02f},
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{-1.61997957e-13f, -1.64216008e-08f, 3.86216271e-04f, -7.38077418e-01f},
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{6.72650283e-13f, -2.73078809e-08f, 4.24098264e-04f, -7.52335691e-01f}
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};
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ccl_inline_constant float cie_colour_match[][3] = {
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{0.0014f, 0.0000f, 0.0065f}, {0.0022f, 0.0001f, 0.0105f}, {0.0042f, 0.0001f, 0.0201f},
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{0.0076f, 0.0002f, 0.0362f}, {0.0143f, 0.0004f, 0.0679f}, {0.0232f, 0.0006f, 0.1102f},
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{0.0435f, 0.0012f, 0.2074f}, {0.0776f, 0.0022f, 0.3713f}, {0.1344f, 0.0040f, 0.6456f},
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{0.2148f, 0.0073f, 1.0391f}, {0.2839f, 0.0116f, 1.3856f}, {0.3285f, 0.0168f, 1.6230f},
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{0.3483f, 0.0230f, 1.7471f}, {0.3481f, 0.0298f, 1.7826f}, {0.3362f, 0.0380f, 1.7721f},
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{0.3187f, 0.0480f, 1.7441f}, {0.2908f, 0.0600f, 1.6692f}, {0.2511f, 0.0739f, 1.5281f},
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{0.1954f, 0.0910f, 1.2876f}, {0.1421f, 0.1126f, 1.0419f}, {0.0956f, 0.1390f, 0.8130f},
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{0.0580f, 0.1693f, 0.6162f}, {0.0320f, 0.2080f, 0.4652f}, {0.0147f, 0.2586f, 0.3533f},
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{0.0049f, 0.3230f, 0.2720f}, {0.0024f, 0.4073f, 0.2123f}, {0.0093f, 0.5030f, 0.1582f},
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{0.0291f, 0.6082f, 0.1117f}, {0.0633f, 0.7100f, 0.0782f}, {0.1096f, 0.7932f, 0.0573f},
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{0.1655f, 0.8620f, 0.0422f}, {0.2257f, 0.9149f, 0.0298f}, {0.2904f, 0.9540f, 0.0203f},
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{0.3597f, 0.9803f, 0.0134f}, {0.4334f, 0.9950f, 0.0087f}, {0.5121f, 1.0000f, 0.0057f},
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{0.5945f, 0.9950f, 0.0039f}, {0.6784f, 0.9786f, 0.0027f}, {0.7621f, 0.9520f, 0.0021f},
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{0.8425f, 0.9154f, 0.0018f}, {0.9163f, 0.8700f, 0.0017f}, {0.9786f, 0.8163f, 0.0014f},
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{1.0263f, 0.7570f, 0.0011f}, {1.0567f, 0.6949f, 0.0010f}, {1.0622f, 0.6310f, 0.0008f},
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{1.0456f, 0.5668f, 0.0006f}, {1.0026f, 0.5030f, 0.0003f}, {0.9384f, 0.4412f, 0.0002f},
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{0.8544f, 0.3810f, 0.0002f}, {0.7514f, 0.3210f, 0.0001f}, {0.6424f, 0.2650f, 0.0000f},
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{0.5419f, 0.2170f, 0.0000f}, {0.4479f, 0.1750f, 0.0000f}, {0.3608f, 0.1382f, 0.0000f},
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{0.2835f, 0.1070f, 0.0000f}, {0.2187f, 0.0816f, 0.0000f}, {0.1649f, 0.0610f, 0.0000f},
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{0.1212f, 0.0446f, 0.0000f}, {0.0874f, 0.0320f, 0.0000f}, {0.0636f, 0.0232f, 0.0000f},
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{0.0468f, 0.0170f, 0.0000f}, {0.0329f, 0.0119f, 0.0000f}, {0.0227f, 0.0082f, 0.0000f},
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{0.0158f, 0.0057f, 0.0000f}, {0.0114f, 0.0041f, 0.0000f}, {0.0081f, 0.0029f, 0.0000f},
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{0.0058f, 0.0021f, 0.0000f}, {0.0041f, 0.0015f, 0.0000f}, {0.0029f, 0.0010f, 0.0000f},
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{0.0020f, 0.0007f, 0.0000f}, {0.0014f, 0.0005f, 0.0000f}, {0.0010f, 0.0004f, 0.0000f},
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{0.0007f, 0.0002f, 0.0000f}, {0.0005f, 0.0002f, 0.0000f}, {0.0003f, 0.0001f, 0.0000f},
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{0.0002f, 0.0001f, 0.0000f}, {0.0002f, 0.0001f, 0.0000f}, {0.0001f, 0.0000f, 0.0000f},
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{0.0001f, 0.0000f, 0.0000f}, {0.0001f, 0.0000f, 0.0000f}, {0.0000f, 0.0000f, 0.0000f}
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};
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/*
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* The direction vectors for the first four dimensions of the Sobol
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* sequence, stored with reversed-order bits.
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*
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* This is used in the Sobol-Burley sampler implementation. We don't
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* need more than four dimensions because we achieve higher dimensions
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* with padding. They're stored with reversed bits because we need
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* them reversed for the fast hash-based Owen scrambling anyway, and
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* this avoids doing that at run time.
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*/
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ccl_inline_constant unsigned int sobol_burley_table[4][32] = {
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{
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0x00000001, 0x00000002, 0x00000004, 0x00000008,
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0x00000010, 0x00000020, 0x00000040, 0x00000080,
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0x00000100, 0x00000200, 0x00000400, 0x00000800,
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0x00001000, 0x00002000, 0x00004000, 0x00008000,
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0x00010000, 0x00020000, 0x00040000, 0x00080000,
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0x00100000, 0x00200000, 0x00400000, 0x00800000,
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0x01000000, 0x02000000, 0x04000000, 0x08000000,
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0x10000000, 0x20000000, 0x40000000, 0x80000000,
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},
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{
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0x00000001, 0x00000003, 0x00000005, 0x0000000f,
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0x00000011, 0x00000033, 0x00000055, 0x000000ff,
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0x00000101, 0x00000303, 0x00000505, 0x00000f0f,
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0x00001111, 0x00003333, 0x00005555, 0x0000ffff,
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0x00010001, 0x00030003, 0x00050005, 0x000f000f,
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0x00110011, 0x00330033, 0x00550055, 0x00ff00ff,
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0x01010101, 0x03030303, 0x05050505, 0x0f0f0f0f,
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0x11111111, 0x33333333, 0x55555555, 0xffffffff,
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},
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{
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0x00000001, 0x00000003, 0x00000006, 0x00000009,
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0x00000017, 0x0000003a, 0x00000071, 0x000000a3,
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0x00000116, 0x00000339, 0x00000677, 0x000009aa,
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0x00001601, 0x00003903, 0x00007706, 0x0000aa09,
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0x00010117, 0x0003033a, 0x00060671, 0x000909a3,
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0x00171616, 0x003a3939, 0x00717777, 0x00a3aaaa,
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0x01170001, 0x033a0003, 0x06710006, 0x09a30009,
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0x16160017, 0x3939003a, 0x77770071, 0xaaaa00a3,
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},
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{
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0x00000001, 0x00000003, 0x00000004, 0x0000000a,
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0x0000001f, 0x0000002e, 0x00000045, 0x000000c9,
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0x0000011b, 0x000002a4, 0x0000079a, 0x00000b67,
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0x0000101e, 0x0000302d, 0x00004041, 0x0000a0c3,
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0x0001f104, 0x0002e28a, 0x000457df, 0x000c9bae,
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0x0011a105, 0x002a7289, 0x0079e7db, 0x00b6dba4,
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0x0100011a, 0x030002a7, 0x0400079e, 0x0a000b6d,
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0x1f001001, 0x2e003003, 0x45004004, 0xc900a00a,
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},
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};
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/* clang-format on */
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