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Diffstat (limited to 'intern/cycles/kernel/svm/noise.h')
| -rw-r--r-- | intern/cycles/kernel/svm/noise.h | 744 |
1 files changed, 744 insertions, 0 deletions
diff --git a/intern/cycles/kernel/svm/noise.h b/intern/cycles/kernel/svm/noise.h new file mode 100644 index 00000000000..0a1616226db --- /dev/null +++ b/intern/cycles/kernel/svm/noise.h @@ -0,0 +1,744 @@ +/* + * Adapted from Open Shading Language with this license: + * + * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al. + * All Rights Reserved. + * + * Modifications Copyright 2011, Blender Foundation. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions are + * met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of Sony Pictures Imageworks nor the names of its + * contributors may be used to endorse or promote products derived from + * this software without specific prior written permission. + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR + * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT + * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT + * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, + * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY + * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE + * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +#pragma once + +CCL_NAMESPACE_BEGIN + +/* **** Perlin Noise **** */ + +ccl_device float fade(float t) +{ + return t * t * t * (t * (t * 6.0f - 15.0f) + 10.0f); +} + +ccl_device_inline float negate_if(float val, int condition) +{ + return (condition) ? -val : val; +} + +ccl_device float grad1(int hash, float x) +{ + int h = hash & 15; + float g = 1 + (h & 7); + return negate_if(g, h & 8) * x; +} + +ccl_device_noinline_cpu float perlin_1d(float x) +{ + int X; + float fx = floorfrac(x, &X); + float u = fade(fx); + + return mix(grad1(hash_uint(X), fx), grad1(hash_uint(X + 1), fx - 1.0f), u); +} + +/* 2D, 3D, and 4D noise can be accelerated using SSE, so we first check if + * SSE is supported, that is, if __KERNEL_SSE2__ is defined. If it is not + * supported, we do a standard implementation, but if it is supported, we + * do an implementation using SSE intrinsics. + */ +#if !defined(__KERNEL_SSE2__) + +/* ** Standard Implementation ** */ + +/* Bilinear Interpolation: + * + * v2 v3 + * @ + + + + @ y + * + + ^ + * + + | + * + + | + * @ + + + + @ @------> x + * v0 v1 + * + */ +ccl_device float bi_mix(float v0, float v1, float v2, float v3, float x, float y) +{ + float x1 = 1.0f - x; + return (1.0f - y) * (v0 * x1 + v1 * x) + y * (v2 * x1 + v3 * x); +} + +/* Trilinear Interpolation: + * + * v6 v7 + * @ + + + + + + @ + * +\ +\ + * + \ + \ + * + \ + \ + * + \ v4 + \ v5 + * + @ + + + +++ + @ z + * + + + + y ^ + * v2 @ + +++ + + + @ v3 + \ | + * \ + \ + \ | + * \ + \ + \| + * \ + \ + +---------> x + * \+ \+ + * @ + + + + + + @ + * v0 v1 + */ +ccl_device float tri_mix(float v0, + float v1, + float v2, + float v3, + float v4, + float v5, + float v6, + float v7, + float x, + float y, + float z) +{ + float x1 = 1.0f - x; + float y1 = 1.0f - y; + float z1 = 1.0f - z; + return z1 * (y1 * (v0 * x1 + v1 * x) + y * (v2 * x1 + v3 * x)) + + z * (y1 * (v4 * x1 + v5 * x) + y * (v6 * x1 + v7 * x)); +} + +ccl_device float quad_mix(float v0, + float v1, + float v2, + float v3, + float v4, + float v5, + float v6, + float v7, + float v8, + float v9, + float v10, + float v11, + float v12, + float v13, + float v14, + float v15, + float x, + float y, + float z, + float w) +{ + return mix(tri_mix(v0, v1, v2, v3, v4, v5, v6, v7, x, y, z), + tri_mix(v8, v9, v10, v11, v12, v13, v14, v15, x, y, z), + w); +} + +ccl_device float grad2(int hash, float x, float y) +{ + int h = hash & 7; + float u = h < 4 ? x : y; + float v = 2.0f * (h < 4 ? y : x); + return negate_if(u, h & 1) + negate_if(v, h & 2); +} + +ccl_device float grad3(int hash, float x, float y, float z) +{ + int h = hash & 15; + float u = h < 8 ? x : y; + float vt = ((h == 12) || (h == 14)) ? x : z; + float v = h < 4 ? y : vt; + return negate_if(u, h & 1) + negate_if(v, h & 2); +} + +ccl_device float grad4(int hash, float x, float y, float z, float w) +{ + int h = hash & 31; + float u = h < 24 ? x : y; + float v = h < 16 ? y : z; + float s = h < 8 ? z : w; + return negate_if(u, h & 1) + negate_if(v, h & 2) + negate_if(s, h & 4); +} + +ccl_device_noinline_cpu float perlin_2d(float x, float y) +{ + int X; + int Y; + + float fx = floorfrac(x, &X); + float fy = floorfrac(y, &Y); + + float u = fade(fx); + float v = fade(fy); + + float r = bi_mix(grad2(hash_uint2(X, Y), fx, fy), + grad2(hash_uint2(X + 1, Y), fx - 1.0f, fy), + grad2(hash_uint2(X, Y + 1), fx, fy - 1.0f), + grad2(hash_uint2(X + 1, Y + 1), fx - 1.0f, fy - 1.0f), + u, + v); + + return r; +} + +ccl_device_noinline_cpu float perlin_3d(float x, float y, float z) +{ + int X; + int Y; + int Z; + + float fx = floorfrac(x, &X); + float fy = floorfrac(y, &Y); + float fz = floorfrac(z, &Z); + + float u = fade(fx); + float v = fade(fy); + float w = fade(fz); + + float r = tri_mix(grad3(hash_uint3(X, Y, Z), fx, fy, fz), + grad3(hash_uint3(X + 1, Y, Z), fx - 1.0f, fy, fz), + grad3(hash_uint3(X, Y + 1, Z), fx, fy - 1.0f, fz), + grad3(hash_uint3(X + 1, Y + 1, Z), fx - 1.0f, fy - 1.0f, fz), + grad3(hash_uint3(X, Y, Z + 1), fx, fy, fz - 1.0f), + grad3(hash_uint3(X + 1, Y, Z + 1), fx - 1.0f, fy, fz - 1.0f), + grad3(hash_uint3(X, Y + 1, Z + 1), fx, fy - 1.0f, fz - 1.0f), + grad3(hash_uint3(X + 1, Y + 1, Z + 1), fx - 1.0f, fy - 1.0f, fz - 1.0f), + u, + v, + w); + return r; +} + +ccl_device_noinline_cpu float perlin_4d(float x, float y, float z, float w) +{ + int X; + int Y; + int Z; + int W; + + float fx = floorfrac(x, &X); + float fy = floorfrac(y, &Y); + float fz = floorfrac(z, &Z); + float fw = floorfrac(w, &W); + + float u = fade(fx); + float v = fade(fy); + float t = fade(fz); + float s = fade(fw); + + float r = quad_mix( + grad4(hash_uint4(X, Y, Z, W), fx, fy, fz, fw), + grad4(hash_uint4(X + 1, Y, Z, W), fx - 1.0f, fy, fz, fw), + grad4(hash_uint4(X, Y + 1, Z, W), fx, fy - 1.0f, fz, fw), + grad4(hash_uint4(X + 1, Y + 1, Z, W), fx - 1.0f, fy - 1.0f, fz, fw), + grad4(hash_uint4(X, Y, Z + 1, W), fx, fy, fz - 1.0f, fw), + grad4(hash_uint4(X + 1, Y, Z + 1, W), fx - 1.0f, fy, fz - 1.0f, fw), + grad4(hash_uint4(X, Y + 1, Z + 1, W), fx, fy - 1.0f, fz - 1.0f, fw), + grad4(hash_uint4(X + 1, Y + 1, Z + 1, W), fx - 1.0f, fy - 1.0f, fz - 1.0f, fw), + grad4(hash_uint4(X, Y, Z, W + 1), fx, fy, fz, fw - 1.0f), + grad4(hash_uint4(X + 1, Y, Z, W + 1), fx - 1.0f, fy, fz, fw - 1.0f), + grad4(hash_uint4(X, Y + 1, Z, W + 1), fx, fy - 1.0f, fz, fw - 1.0f), + grad4(hash_uint4(X + 1, Y + 1, Z, W + 1), fx - 1.0f, fy - 1.0f, fz, fw - 1.0f), + grad4(hash_uint4(X, Y, Z + 1, W + 1), fx, fy, fz - 1.0f, fw - 1.0f), + grad4(hash_uint4(X + 1, Y, Z + 1, W + 1), fx - 1.0f, fy, fz - 1.0f, fw - 1.0f), + grad4(hash_uint4(X, Y + 1, Z + 1, W + 1), fx, fy - 1.0f, fz - 1.0f, fw - 1.0f), + grad4(hash_uint4(X + 1, Y + 1, Z + 1, W + 1), fx - 1.0f, fy - 1.0f, fz - 1.0f, fw - 1.0f), + u, + v, + t, + s); + + return r; +} + +#else /* SSE is supported. */ + +/* ** SSE Implementation ** */ + +/* SSE Bilinear Interpolation: + * + * The function takes two ssef inputs: + * - p : Contains the values at the points (v0, v1, v2, v3). + * - f : Contains the values (x, y, _, _). The third and fourth values are unused. + * + * The interpolation is done in two steps: + * 1. Interpolate (v0, v1) and (v2, v3) along the x axis to get g (g0, g1). + * (v2, v3) is generated by moving v2 and v3 to the first and second + * places of the ssef using the shuffle mask <2, 3, 2, 3>. The third and + * fourth values are unused. + * 2. Interpolate g0 and g1 along the y axis to get the final value. + * g1 is generated by populating an ssef with the second value of g. + * Only the first value is important in the final ssef. + * + * v1 v3 g1 + * @ + + + + @ @ y + * + + (1) + (2) ^ + * + + ---> + ---> final | + * + + + | + * @ + + + + @ @ @------> x + * v0 v2 g0 + * + */ +ccl_device_inline ssef bi_mix(ssef p, ssef f) +{ + ssef g = mix(p, shuffle<2, 3, 2, 3>(p), shuffle<0>(f)); + return mix(g, shuffle<1>(g), shuffle<1>(f)); +} + +ccl_device_inline ssef fade(const ssef &t) +{ + ssef a = madd(t, 6.0f, -15.0f); + ssef b = madd(t, a, 10.0f); + return (t * t) * (t * b); +} + +/* Negate val if the nth bit of h is 1. */ +# define negate_if_nth_bit(val, h, n) ((val) ^ cast(((h) & (1 << (n))) << (31 - (n)))) + +ccl_device_inline ssef grad(const ssei &hash, const ssef &x, const ssef &y) +{ + ssei h = hash & 7; + ssef u = select(h < 4, x, y); + ssef v = 2.0f * select(h < 4, y, x); + return negate_if_nth_bit(u, h, 0) + negate_if_nth_bit(v, h, 1); +} + +/* We use SSE to compute and interpolate 4 gradients at once: + * + * Point Offset from v0 + * v0 (0, 0) + * v1 (0, 1) + * v2 (1, 0) (0, 1, 0, 1) = shuffle<0, 2, 0, 2>(shuffle<1, 1, 1, 1>(V, V + 1)) + * v3 (1, 1) ^ + * | |__________| (0, 0, 1, 1) = shuffle<0, 0, 0, 0>(V, V + 1) + * | ^ + * |__________________________| + * + */ +ccl_device_noinline_cpu float perlin_2d(float x, float y) +{ + ssei XY; + ssef fxy = floorfrac(ssef(x, y, 0.0f, 0.0f), &XY); + ssef uv = fade(fxy); + + ssei XY1 = XY + 1; + ssei X = shuffle<0, 0, 0, 0>(XY, XY1); + ssei Y = shuffle<0, 2, 0, 2>(shuffle<1, 1, 1, 1>(XY, XY1)); + + ssei h = hash_ssei2(X, Y); + + ssef fxy1 = fxy - 1.0f; + ssef fx = shuffle<0, 0, 0, 0>(fxy, fxy1); + ssef fy = shuffle<0, 2, 0, 2>(shuffle<1, 1, 1, 1>(fxy, fxy1)); + + ssef g = grad(h, fx, fy); + + return extract<0>(bi_mix(g, uv)); +} + +/* SSE Trilinear Interpolation: + * + * The function takes three ssef inputs: + * - p : Contains the values at the points (v0, v1, v2, v3). + * - q : Contains the values at the points (v4, v5, v6, v7). + * - f : Contains the values (x, y, z, _). The fourth value is unused. + * + * The interpolation is done in three steps: + * 1. Interpolate p and q along the x axis to get s (s0, s1, s2, s3). + * 2. Interpolate (s0, s1) and (s2, s3) along the y axis to get g (g0, g1). + * (s2, s3) is generated by moving v2 and v3 to the first and second + * places of the ssef using the shuffle mask <2, 3, 2, 3>. The third and + * fourth values are unused. + * 3. Interpolate g0 and g1 along the z axis to get the final value. + * g1 is generated by populating an ssef with the second value of g. + * Only the first value is important in the final ssef. + * + * v3 v7 + * @ + + + + + + @ s3 @ + * +\ +\ +\ + * + \ + \ + \ + * + \ + \ + \ g1 + * + \ v1 + \ v5 + \ s1 @ + * + @ + + + +++ + @ + @ + z + * + + + + (1) + + (2) + (3) y ^ + * v2 @ + +++ + + + @ v6 + ---> s2 @ + ---> + ---> final \ | + * \ + \ + \ + + \ | + * \ + \ + \ + + \| + * \ + \ + \ + @ +---------> x + * \+ \+ \+ g0 + * @ + + + + + + @ @ + * v0 v4 s0 + */ +ccl_device_inline ssef tri_mix(ssef p, ssef q, ssef f) +{ + ssef s = mix(p, q, shuffle<0>(f)); + ssef g = mix(s, shuffle<2, 3, 2, 3>(s), shuffle<1>(f)); + return mix(g, shuffle<1>(g), shuffle<2>(f)); +} + +/* 3D and 4D noise can be accelerated using AVX, so we first check if AVX + * is supported, that is, if __KERNEL_AVX__ is defined. If it is not + * supported, we do an SSE implementation, but if it is supported, + * we do an implementation using AVX intrinsics. + */ +# if !defined(__KERNEL_AVX__) + +ccl_device_inline ssef grad(const ssei &hash, const ssef &x, const ssef &y, const ssef &z) +{ + ssei h = hash & 15; + ssef u = select(h < 8, x, y); + ssef vt = select((h == 12) | (h == 14), x, z); + ssef v = select(h < 4, y, vt); + return negate_if_nth_bit(u, h, 0) + negate_if_nth_bit(v, h, 1); +} + +ccl_device_inline ssef +grad(const ssei &hash, const ssef &x, const ssef &y, const ssef &z, const ssef &w) +{ + ssei h = hash & 31; + ssef u = select(h < 24, x, y); + ssef v = select(h < 16, y, z); + ssef s = select(h < 8, z, w); + return negate_if_nth_bit(u, h, 0) + negate_if_nth_bit(v, h, 1) + negate_if_nth_bit(s, h, 2); +} + +/* SSE Quadrilinear Interpolation: + * + * Quadrilinear interpolation is as simple as a linear interpolation + * between two trilinear interpolations. + * + */ +ccl_device_inline ssef quad_mix(ssef p, ssef q, ssef r, ssef s, ssef f) +{ + return mix(tri_mix(p, q, f), tri_mix(r, s, f), shuffle<3>(f)); +} + +/* We use SSE to compute and interpolate 4 gradients at once. Since we have 8 + * gradients in 3D, we need to compute two sets of gradients at the points: + * + * Point Offset from v0 + * v0 (0, 0, 0) + * v1 (0, 0, 1) + * v2 (0, 1, 0) (0, 1, 0, 1) = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(V, V + 1)) + * v3 (0, 1, 1) ^ + * | |__________| (0, 0, 1, 1) = shuffle<1, 1, 1, 1>(V, V + 1) + * | ^ + * |__________________________| + * + * Point Offset from v0 + * v4 (1, 0, 0) + * v5 (1, 0, 1) + * v6 (1, 1, 0) + * v7 (1, 1, 1) + * + */ +ccl_device_noinline_cpu float perlin_3d(float x, float y, float z) +{ + ssei XYZ; + ssef fxyz = floorfrac(ssef(x, y, z, 0.0f), &XYZ); + ssef uvw = fade(fxyz); + + ssei XYZ1 = XYZ + 1; + ssei Y = shuffle<1, 1, 1, 1>(XYZ, XYZ1); + ssei Z = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(XYZ, XYZ1)); + + ssei h1 = hash_ssei3(shuffle<0>(XYZ), Y, Z); + ssei h2 = hash_ssei3(shuffle<0>(XYZ1), Y, Z); + + ssef fxyz1 = fxyz - 1.0f; + ssef fy = shuffle<1, 1, 1, 1>(fxyz, fxyz1); + ssef fz = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(fxyz, fxyz1)); + + ssef g1 = grad(h1, shuffle<0>(fxyz), fy, fz); + ssef g2 = grad(h2, shuffle<0>(fxyz1), fy, fz); + + return extract<0>(tri_mix(g1, g2, uvw)); +} + +/* We use SSE to compute and interpolate 4 gradients at once. Since we have 16 + * gradients in 4D, we need to compute four sets of gradients at the points: + * + * Point Offset from v0 + * v0 (0, 0, 0, 0) + * v1 (0, 0, 1, 0) + * v2 (0, 1, 0, 0) (0, 1, 0, 1) = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(V, V + 1)) + * v3 (0, 1, 1, 0) ^ + * | |________| (0, 0, 1, 1) = shuffle<1, 1, 1, 1>(V, V + 1) + * | ^ + * |_______________________| + * + * Point Offset from v0 + * v4 (1, 0, 0, 0) + * v5 (1, 0, 1, 0) + * v6 (1, 1, 0, 0) + * v7 (1, 1, 1, 0) + * + * Point Offset from v0 + * v8 (0, 0, 0, 1) + * v9 (0, 0, 1, 1) + * v10 (0, 1, 0, 1) + * v11 (0, 1, 1, 1) + * + * Point Offset from v0 + * v12 (1, 0, 0, 1) + * v13 (1, 0, 1, 1) + * v14 (1, 1, 0, 1) + * v15 (1, 1, 1, 1) + * + */ +ccl_device_noinline_cpu float perlin_4d(float x, float y, float z, float w) +{ + ssei XYZW; + ssef fxyzw = floorfrac(ssef(x, y, z, w), &XYZW); + ssef uvws = fade(fxyzw); + + ssei XYZW1 = XYZW + 1; + ssei Y = shuffle<1, 1, 1, 1>(XYZW, XYZW1); + ssei Z = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(XYZW, XYZW1)); + + ssei h1 = hash_ssei4(shuffle<0>(XYZW), Y, Z, shuffle<3>(XYZW)); + ssei h2 = hash_ssei4(shuffle<0>(XYZW1), Y, Z, shuffle<3>(XYZW)); + + ssei h3 = hash_ssei4(shuffle<0>(XYZW), Y, Z, shuffle<3>(XYZW1)); + ssei h4 = hash_ssei4(shuffle<0>(XYZW1), Y, Z, shuffle<3>(XYZW1)); + + ssef fxyzw1 = fxyzw - 1.0f; + ssef fy = shuffle<1, 1, 1, 1>(fxyzw, fxyzw1); + ssef fz = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(fxyzw, fxyzw1)); + + ssef g1 = grad(h1, shuffle<0>(fxyzw), fy, fz, shuffle<3>(fxyzw)); + ssef g2 = grad(h2, shuffle<0>(fxyzw1), fy, fz, shuffle<3>(fxyzw)); + + ssef g3 = grad(h3, shuffle<0>(fxyzw), fy, fz, shuffle<3>(fxyzw1)); + ssef g4 = grad(h4, shuffle<0>(fxyzw1), fy, fz, shuffle<3>(fxyzw1)); + + return extract<0>(quad_mix(g1, g2, g3, g4, uvws)); +} + +# else /* AVX is supported. */ + +/* AVX Implementation */ + +ccl_device_inline avxf grad(const avxi &hash, const avxf &x, const avxf &y, const avxf &z) +{ + avxi h = hash & 15; + avxf u = select(h < 8, x, y); + avxf vt = select((h == 12) | (h == 14), x, z); + avxf v = select(h < 4, y, vt); + return negate_if_nth_bit(u, h, 0) + negate_if_nth_bit(v, h, 1); +} + +ccl_device_inline avxf +grad(const avxi &hash, const avxf &x, const avxf &y, const avxf &z, const avxf &w) +{ + avxi h = hash & 31; + avxf u = select(h < 24, x, y); + avxf v = select(h < 16, y, z); + avxf s = select(h < 8, z, w); + return negate_if_nth_bit(u, h, 0) + negate_if_nth_bit(v, h, 1) + negate_if_nth_bit(s, h, 2); +} + +/* SSE Quadrilinear Interpolation: + * + * The interpolation is done in two steps: + * 1. Interpolate p and q along the w axis to get s. + * 2. Trilinearly interpolate (s0, s1, s2, s3) and (s4, s5, s6, s7) to get the final + * value. (s0, s1, s2, s3) and (s4, s5, s6, s7) are generated by extracting the + * low and high ssef from s. + * + */ +ccl_device_inline ssef quad_mix(avxf p, avxf q, ssef f) +{ + ssef fv = shuffle<3>(f); + avxf s = mix(p, q, avxf(fv, fv)); + return tri_mix(low(s), high(s), f); +} + +/* We use AVX to compute and interpolate 8 gradients at once. + * + * Point Offset from v0 + * v0 (0, 0, 0) + * v1 (0, 0, 1) The full AVX type is computed by inserting the following + * v2 (0, 1, 0) SSE types into both the low and high parts of the AVX. + * v3 (0, 1, 1) + * v4 (1, 0, 0) + * v5 (1, 0, 1) (0, 1, 0, 1) = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(V, V + 1)) + * v6 (1, 1, 0) ^ + * v7 (1, 1, 1) | + * | |__________| (0, 0, 1, 1) = shuffle<1, 1, 1, 1>(V, V + 1) + * | ^ + * |__________________________| + * + */ +ccl_device_noinline_cpu float perlin_3d(float x, float y, float z) +{ + ssei XYZ; + ssef fxyz = floorfrac(ssef(x, y, z, 0.0f), &XYZ); + ssef uvw = fade(fxyz); + + ssei XYZ1 = XYZ + 1; + ssei X = shuffle<0>(XYZ); + ssei X1 = shuffle<0>(XYZ1); + ssei Y = shuffle<1, 1, 1, 1>(XYZ, XYZ1); + ssei Z = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(XYZ, XYZ1)); + + avxi h = hash_avxi3(avxi(X, X1), avxi(Y, Y), avxi(Z, Z)); + + ssef fxyz1 = fxyz - 1.0f; + ssef fx = shuffle<0>(fxyz); + ssef fx1 = shuffle<0>(fxyz1); + ssef fy = shuffle<1, 1, 1, 1>(fxyz, fxyz1); + ssef fz = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(fxyz, fxyz1)); + + avxf g = grad(h, avxf(fx, fx1), avxf(fy, fy), avxf(fz, fz)); + + return extract<0>(tri_mix(low(g), high(g), uvw)); +} + +/* We use AVX to compute and interpolate 8 gradients at once. Since we have 16 + * gradients in 4D, we need to compute two sets of gradients at the points: + * + * Point Offset from v0 + * v0 (0, 0, 0, 0) + * v1 (0, 0, 1, 0) The full AVX type is computed by inserting the following + * v2 (0, 1, 0, 0) SSE types into both the low and high parts of the AVX. + * v3 (0, 1, 1, 0) + * v4 (1, 0, 0, 0) + * v5 (1, 0, 1, 0) (0, 1, 0, 1) = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(V, V + 1)) + * v6 (1, 1, 0, 0) ^ + * v7 (1, 1, 1, 0) | + * | |________| (0, 0, 1, 1) = shuffle<1, 1, 1, 1>(V, V + 1) + * | ^ + * |_______________________| + * + * Point Offset from v0 + * v8 (0, 0, 0, 1) + * v9 (0, 0, 1, 1) + * v10 (0, 1, 0, 1) + * v11 (0, 1, 1, 1) + * v12 (1, 0, 0, 1) + * v13 (1, 0, 1, 1) + * v14 (1, 1, 0, 1) + * v15 (1, 1, 1, 1) + * + */ +ccl_device_noinline_cpu float perlin_4d(float x, float y, float z, float w) +{ + ssei XYZW; + ssef fxyzw = floorfrac(ssef(x, y, z, w), &XYZW); + ssef uvws = fade(fxyzw); + + ssei XYZW1 = XYZW + 1; + ssei X = shuffle<0>(XYZW); + ssei X1 = shuffle<0>(XYZW1); + ssei Y = shuffle<1, 1, 1, 1>(XYZW, XYZW1); + ssei Z = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(XYZW, XYZW1)); + ssei W = shuffle<3>(XYZW); + ssei W1 = shuffle<3>(XYZW1); + + avxi h1 = hash_avxi4(avxi(X, X1), avxi(Y, Y), avxi(Z, Z), avxi(W, W)); + avxi h2 = hash_avxi4(avxi(X, X1), avxi(Y, Y), avxi(Z, Z), avxi(W1, W1)); + + ssef fxyzw1 = fxyzw - 1.0f; + ssef fx = shuffle<0>(fxyzw); + ssef fx1 = shuffle<0>(fxyzw1); + ssef fy = shuffle<1, 1, 1, 1>(fxyzw, fxyzw1); + ssef fz = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(fxyzw, fxyzw1)); + ssef fw = shuffle<3>(fxyzw); + ssef fw1 = shuffle<3>(fxyzw1); + + avxf g1 = grad(h1, avxf(fx, fx1), avxf(fy, fy), avxf(fz, fz), avxf(fw, fw)); + avxf g2 = grad(h2, avxf(fx, fx1), avxf(fy, fy), avxf(fz, fz), avxf(fw1, fw1)); + + return extract<0>(quad_mix(g1, g2, uvws)); +} +# endif + +# undef negate_if_nth_bit + +#endif + +/* Remap the output of noise to a predictable range [-1, 1]. + * The scale values were computed experimentally by the OSL developers. + */ + +ccl_device_inline float noise_scale1(float result) +{ + return 0.2500f * result; +} + +ccl_device_inline float noise_scale2(float result) +{ + return 0.6616f * result; +} + +ccl_device_inline float noise_scale3(float result) +{ + return 0.9820f * result; +} + +ccl_device_inline float noise_scale4(float result) +{ + return 0.8344f * result; +} + +/* Safe Signed And Unsigned Noise */ + +ccl_device_inline float snoise_1d(float p) +{ + return noise_scale1(ensure_finite(perlin_1d(p))); +} + +ccl_device_inline float noise_1d(float p) +{ + return 0.5f * snoise_1d(p) + 0.5f; +} + +ccl_device_inline float snoise_2d(float2 p) +{ + return noise_scale2(ensure_finite(perlin_2d(p.x, p.y))); +} + +ccl_device_inline float noise_2d(float2 p) +{ + return 0.5f * snoise_2d(p) + 0.5f; +} + +ccl_device_inline float snoise_3d(float3 p) +{ + return noise_scale3(ensure_finite(perlin_3d(p.x, p.y, p.z))); +} + +ccl_device_inline float noise_3d(float3 p) +{ + return 0.5f * snoise_3d(p) + 0.5f; +} + +ccl_device_inline float snoise_4d(float4 p) +{ + return noise_scale4(ensure_finite(perlin_4d(p.x, p.y, p.z, p.w))); +} + +ccl_device_inline float noise_4d(float4 p) +{ + return 0.5f * snoise_4d(p) + 0.5f; +} + +CCL_NAMESPACE_END |