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68 lines
3.1 KiB
68 lines
3.1 KiB
// Cellular noise ("Worley noise") in 3D in GLSL. |
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// Copyright (c) Stefan Gustavson 2011-04-19. All rights reserved. |
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// This code is released under the conditions of the MIT license. |
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// See LICENSE file for details. |
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// https://github.com/stegu/webgl-noise |
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using static Unity.Mathematics.math; |
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namespace Unity.Mathematics |
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{ |
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public static partial class noise |
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{ |
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/// <summary> |
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/// 3D Cellular noise ("Worley noise") with a 2x2x2 search window. |
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/// </summary> |
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/// <remarks> |
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/// Faster than using 3x3x3, at the expense of some pattern artifacts. F2 is often wrong and has sharp discontinuities. If you need a smooth F2, use the slower 3x3x3 version. |
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/// </remarks> |
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/// <param name="P">A point in 3D space.</param> |
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/// <returns>Feature points. F1 is in the x component, F2 in the y component.</returns> |
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public static float2 cellular2x2x2(float3 P) |
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{ |
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const float K = 0.142857142857f; // 1/7 |
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const float Ko = 0.428571428571f; // 1/2-K/2 |
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const float K2 = 0.020408163265306f; // 1/(7*7) |
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const float Kz = 0.166666666667f; // 1/6 |
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const float Kzo = 0.416666666667f; // 1/2-1/6*2 |
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const float jitter = 0.8f; // smaller jitter gives less errors in F2 |
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float3 Pi = mod289(floor(P)); |
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float3 Pf = frac(P); |
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float4 Pfx = Pf.x + float4(0.0f, -1.0f, 0.0f, -1.0f); |
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float4 Pfy = Pf.y + float4(0.0f, 0.0f, -1.0f, -1.0f); |
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float4 p = permute(Pi.x + float4(0.0f, 1.0f, 0.0f, 1.0f)); |
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p = permute(p + Pi.y + float4(0.0f, 0.0f, 1.0f, 1.0f)); |
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float4 p1 = permute(p + Pi.z); // z+0 |
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float4 p2 = permute(p + Pi.z + float4(1.0f,1.0f,1.0f,1.0f)); // z+1 |
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float4 ox1 = frac(p1 * K) - Ko; |
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float4 oy1 = mod7(floor(p1 * K)) * K - Ko; |
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float4 oz1 = floor(p1 * K2) * Kz - Kzo; // p1 < 289 guaranteed |
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float4 ox2 = frac(p2 * K) - Ko; |
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float4 oy2 = mod7(floor(p2 * K)) * K - Ko; |
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float4 oz2 = floor(p2 * K2) * Kz - Kzo; |
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float4 dx1 = Pfx + jitter * ox1; |
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float4 dy1 = Pfy + jitter * oy1; |
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float4 dz1 = Pf.z + jitter * oz1; |
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float4 dx2 = Pfx + jitter * ox2; |
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float4 dy2 = Pfy + jitter * oy2; |
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float4 dz2 = Pf.z - 1.0f + jitter * oz2; |
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float4 d1 = dx1 * dx1 + dy1 * dy1 + dz1 * dz1; // z+0 |
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float4 d2 = dx2 * dx2 + dy2 * dy2 + dz2 * dz2; // z+1 |
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// Sort out the two smallest distances (F1, F2) |
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// Do it right and sort out both F1 and F2 |
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float4 d = min(d1,d2); // F1 is now in d |
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d2 = max(d1,d2); // Make sure we keep all candidates for F2 |
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d.xy = (d.x < d.y) ? d.xy : d.yx; // Swap smallest to d.x |
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d.xz = (d.x < d.z) ? d.xz : d.zx; |
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d.xw = (d.x < d.w) ? d.xw : d.wx; // F1 is now in d.x |
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d.yzw = min(d.yzw, d2.yzw); // F2 now not in d2.yzw |
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d.y = min(d.y, d.z); // nor in d.z |
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d.y = min(d.y, d.w); // nor in d.w |
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d.y = min(d.y, d2.x); // F2 is now in d.y |
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return sqrt(d.xy); // F1 and F2 |
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} |
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} |
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}
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