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- #ifndef _SAMPLING_SOBOLSAMPLING_HLSL_
- #define _SAMPLING_SOBOLSAMPLING_HLSL_
-
- #define SOBOL_MATRIX_SIZE 52
- #define SOBOL_MATRICES_COUNT 1024
-
- #include "SamplingResources.hlsl"
- #include "Hashes.hlsl"
- #include "Common.hlsl"
-
- // HLSLcc cannot correctly translate `reversebits(x)` for large unsigned integers.
- // Therefore, when using HLSLcc, we use our own implementation. https://jira.unity3d.com/browse/GFXFEAT-629
- #ifdef UNITY_COMPILER_HLSLCC
- uint ReverseBitsSafe(uint x)
- {
- x = ((x >> 1) & 0x55555555u) | ((x & 0x55555555u) << 1);
- x = ((x >> 2) & 0x33333333u) | ((x & 0x33333333u) << 2);
- x = ((x >> 4) & 0x0f0f0f0fu) | ((x & 0x0f0f0f0fu) << 4);
- x = ((x >> 8) & 0x00ff00ffu) | ((x & 0x00ff00ffu) << 8);
- x = ((x >> 16) & 0xffffu) | ((x & 0xffffu) << 16);
- return x;
- }
- #else
- #define ReverseBitsSafe reversebits
- #endif
-
- // See https://psychopath.io/post/2021_01_30_building_a_better_lk_hash
- uint LaineKarrasPermutation(uint x, uint seed)
- {
- x ^= x * 0x3d20adea;
- x += seed;
- x *= (seed >> 16) | 1;
- x ^= x * 0x05526c56;
- x ^= x * 0x53a22864;
- return x;
- }
-
- uint NestedUniformOwenScramble(uint x, uint seed)
- {
- x = ReverseBitsSafe(x);
- x = LaineKarrasPermutation(x, seed);
- x = ReverseBitsSafe(x);
- return x;
- }
-
- //See https://psychopath.io/post/2022_08_14_a_fast_hash_for_base_4_owen_scrambling
- uint LaineKarrasStylePermutationBase4(uint x, uint seed)
- {
- x ^= x * 0x3d20adeau;
- x ^= (x >> 1) & (x << 1) & 0x55555555u;
- x += seed;
- x *= (seed >> 16) | 1;
- x ^= (x >> 1) & (x << 1) & 0x55555555u;
- x ^= x * 0x05526c56u;
- x ^= x * 0x53a22864u;
- return x;
- }
-
- uint NestedUniformScrambleBase4(uint x, uint seed)
- {
- x = ReverseBitsSafe(x);
- x = LaineKarrasStylePermutationBase4(x, seed);
- x = ReverseBitsSafe(x);
- return x;
- }
-
- // "Insert" a 0 bit after each of the 16 low bits of x.
- // Ref: https://fgiesen.wordpress.com/2009/12/13/decoding-morton-codes/
- uint Part1By1(uint x)
- {
- x &= 0x0000ffff; // x = ---- ---- ---- ---- fedc ba98 7654 3210
- x = (x ^ (x << 8)) & 0x00ff00ff; // x = ---- ---- fedc ba98 ---- ---- 7654 3210
- x = (x ^ (x << 4)) & 0x0f0f0f0f; // x = ---- fedc ---- ba98 ---- 7654 ---- 3210
- x = (x ^ (x << 2)) & 0x33333333; // x = --fe --dc --ba --98 --76 --54 --32 --10
- x = (x ^ (x << 1)) & 0x55555555; // x = -f-e -d-c -b-a -9-8 -7-6 -5-4 -3-2 -1-0
- return x;
- }
-
- uint EncodeMorton2D(uint2 coord)
- {
- return (Part1By1(coord.y) << 1) + Part1By1(coord.x);
- }
-
- uint SobolSampleUint(uint index, int dimension, uint indexMaxBitCount)
- {
- uint result = 0;
-
- #ifdef UNIFIED_RT_BACKEND_HARDWARE
- // Raytracing tracing shaders compile only with unrolled loop, but unrolling fails in the compute path.
- // TODO: test again when Unity updates the shader compiler
- [unroll]
- #endif
- for (uint i = dimension * SOBOL_MATRIX_SIZE; i < dimension * SOBOL_MATRIX_SIZE + indexMaxBitCount; index >>= 1, ++i)
- {
- result ^= _SobolMatricesBuffer[i] * (index & 1);
- }
-
- return result;
- }
-
- uint SobolSampleUint(uint2 index64, uint dimension)
- {
- uint result = 0;
- uint i = dimension * SOBOL_MATRIX_SIZE;
-
- for (; i < dimension * SOBOL_MATRIX_SIZE + 32; index64.x >>= 1, ++i)
- {
- result ^= _SobolMatricesBuffer[i] * (index64.x & 1);
- }
-
- for (; i < dimension * SOBOL_MATRIX_SIZE + 32+20; index64.y >>= 1, ++i)
- {
- result ^= _SobolMatricesBuffer[i] * (index64.y & 1);
- }
-
- return result;
- }
-
- uint GetMortonShuffledSampleIndex(uint index, uint pixelMortonIndex, uint mortonShuffleSeed, uint log2SamplesPerPixel)
- {
- uint mortonIndexShuffled = NestedUniformScrambleBase4(pixelMortonIndex, mortonShuffleSeed);
-
- uint sampleIndexForPixel = (mortonIndexShuffled << log2SamplesPerPixel) | index;
- return sampleIndexForPixel;
- }
-
- uint2 GetMortonShuffledSampleIndex64(uint index, uint pixelMortonIndex, uint mortonShuffleSeed, uint log2SamplesPerPixel)
- {
- uint mortonIndexShuffled = NestedUniformScrambleBase4(pixelMortonIndex, mortonShuffleSeed);
-
- uint2 sampleIndex64;
- sampleIndex64.x = (mortonIndexShuffled << log2SamplesPerPixel) | index;
- sampleIndex64.y = mortonIndexShuffled >> (32 - log2SamplesPerPixel);
- return sampleIndex64;
- }
-
- float GetSobolSample(uint index, int dimension)
- {
- uint result = SobolSampleUint(index, dimension, 20);
- return UintToFloat01(result);
- }
-
- float GetOwenScrambledSobolSample(uint sampleIndex, uint dim, uint valueScrambleSeed)
- {
- uint sobolUInt = SobolSampleUint(sampleIndex, dim, 20);
- uint result = NestedUniformOwenScramble(sobolUInt, valueScrambleSeed);
- return UintToFloat01(result);
- }
-
- float GetOwenScrambledZShuffledSobolSample(uint sampleIndex, uint dim, uint maxDim, uint pixelMortonCode, uint log2SamplesPerPixel)
- {
- const uint kSeedValueScramble = 0xab773au;
- uint mortonShuffleSeed = LowBiasHash32(dim, 0);
- uint valueScrambleSeed = LowBiasHash32(dim, kSeedValueScramble);
-
- #ifdef QRNG_GLOBAL_SOBOL_ENHANCED_TILING
- uint2 shuffledSampleIndex = GetMortonShuffledSampleIndex64(sampleIndex, pixelMortonCode, mortonShuffleSeed, log2SamplesPerPixel);
- uint sobolUInt = SobolSampleUint(shuffledSampleIndex, dim % maxDim);
- #else
- uint shuffledSampleIndex = GetMortonShuffledSampleIndex(sampleIndex, pixelMortonCode, mortonShuffleSeed, log2SamplesPerPixel);
- uint sobolUInt = SobolSampleUint(shuffledSampleIndex, dim % maxDim, 32);
- #endif
-
- uint result = NestedUniformOwenScramble(sobolUInt, valueScrambleSeed);
- return UintToFloat01(result);
- }
-
-
- #endif // UNITY_SOBOL_SAMPLING_INCLUDED
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