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Diffstat (limited to 'intern/cycles/kernel/sample/sobol_burley.h')
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+/* SPDX-License-Identifier: Apache-2.0
+ * Copyright 2011-2022 Blender Foundation */
+
+/*
+ * A shuffled, Owen-scrambled Sobol sampler, implemented with the
+ * techniques from the paper "Practical Hash-based Owen Scrambling"
+ * by Brent Burley, 2020, Journal of Computer Graphics Techniques.
+ *
+ * Note that unlike a standard high-dimensional Sobol sequence, this
+ * Sobol sampler uses padding to achieve higher dimensions, as described
+ * in Burley's paper.
+ */
+
+#pragma once
+
+#include "kernel/sample/util.h"
+#include "util/hash.h"
+#include "util/math.h"
+#include "util/types.h"
+
+CCL_NAMESPACE_BEGIN
+
+/*
+ * Computes a single dimension of a sample from an Owen-scrambled
+ * Sobol sequence. This is used in the main sampling functions,
+ * sobol_burley_sample_#D(), below.
+ *
+ * - rev_bit_index: the sample index, with reversed order bits.
+ * - dimension: the sample dimension.
+ * - scramble_seed: the Owen scrambling seed.
+ *
+ * Note that the seed must be well randomized before being
+ * passed to this function.
+ */
+ccl_device_forceinline float sobol_burley(uint rev_bit_index,
+ const uint dimension,
+ const uint scramble_seed)
+{
+ uint result = 0;
+
+ if (dimension == 0) {
+ /* Fast-path for dimension 0, which is just Van der corput.
+ * This makes a notable difference in performance since we reuse
+ * dimensions for padding, and dimension 0 is reused the most. */
+ result = reverse_integer_bits(rev_bit_index);
+ }
+ else {
+ uint i = 0;
+ while (rev_bit_index != 0) {
+ uint j = count_leading_zeros(rev_bit_index);
+ result ^= sobol_burley_table[dimension][i + j];
+ i += j + 1;
+
+ /* We can't do "<<= j + 1" because that can overflow the shift
+ * operator, which doesn't do what we need on at least x86. */
+ rev_bit_index <<= j;
+ rev_bit_index <<= 1;
+ }
+ }
+
+ /* Apply Owen scrambling. */
+ result = reverse_integer_bits(reversed_bit_owen(result, scramble_seed));
+
+ return uint_to_float_excl(result);
+}
+
+/*
+ * Computes a 1D Owen-scrambled and shuffled Sobol sample.
+ */
+ccl_device float sobol_burley_sample_1D(uint index, uint const dimension, uint seed)
+{
+ /* Include the dimension in the seed, so we get decorrelated
+ * sequences for different dimensions via shuffling. */
+ seed ^= hash_hp_uint(dimension);
+
+ /* Shuffle. */
+ index = reversed_bit_owen(reverse_integer_bits(index), seed ^ 0xbff95bfe);
+
+ return sobol_burley(index, 0, seed ^ 0x635c77bd);
+}
+
+/*
+ * Computes a 2D Owen-scrambled and shuffled Sobol sample.
+ */
+ccl_device float2 sobol_burley_sample_2D(uint index, const uint dimension_set, uint seed)
+{
+ /* Include the dimension set in the seed, so we get decorrelated
+ * sequences for different dimension sets via shuffling. */
+ seed ^= hash_hp_uint(dimension_set);
+
+ /* Shuffle. */
+ index = reversed_bit_owen(reverse_integer_bits(index), seed ^ 0xf8ade99a);
+
+ return make_float2(sobol_burley(index, 0, seed ^ 0xe0aaaf76),
+ sobol_burley(index, 1, seed ^ 0x94964d4e));
+}
+
+/*
+ * Computes a 3D Owen-scrambled and shuffled Sobol sample.
+ */
+ccl_device float3 sobol_burley_sample_3D(uint index, const uint dimension_set, uint seed)
+{
+ /* Include the dimension set in the seed, so we get decorrelated
+ * sequences for different dimension sets via shuffling. */
+ seed ^= hash_hp_uint(dimension_set);
+
+ /* Shuffle. */
+ index = reversed_bit_owen(reverse_integer_bits(index), seed ^ 0xcaa726ac);
+
+ return make_float3(sobol_burley(index, 0, seed ^ 0x9e78e391),
+ sobol_burley(index, 1, seed ^ 0x67c33241),
+ sobol_burley(index, 2, seed ^ 0x78c395c5));
+}
+
+/*
+ * Computes a 4D Owen-scrambled and shuffled Sobol sample.
+ */
+ccl_device float4 sobol_burley_sample_4D(uint index, const uint dimension_set, uint seed)
+{
+ /* Include the dimension set in the seed, so we get decorrelated
+ * sequences for different dimension sets via shuffling. */
+ seed ^= hash_hp_uint(dimension_set);
+
+ /* Shuffle. */
+ index = reversed_bit_owen(reverse_integer_bits(index), seed ^ 0xc2c1a055);
+
+ return make_float4(sobol_burley(index, 0, seed ^ 0x39468210),
+ sobol_burley(index, 1, seed ^ 0xe9d8a845),
+ sobol_burley(index, 2, seed ^ 0x5f32b482),
+ sobol_burley(index, 3, seed ^ 0x1524cc56));
+}
+
+CCL_NAMESPACE_END