// // GLSL textureless classic 2D noise "cnoise", // with an RSL-style periodic variant "pnoise". // Author: Stefan Gustavson (stefan.gustavson@liu.se) // Version: 2011-08-22 // // Many thanks to Ian McEwan of Ashima Arts for the // ideas for permutation and gradient selection. // // Copyright (c) 2011 Stefan Gustavson. All rights reserved. // Distributed under the MIT license. See LICENSE file. // https://github.com/stegu/webgl-noise // using static Unity.Mathematics.math; namespace Unity.Mathematics { public static partial class noise { // Classic Perlin noise public static float cnoise(float2 P) { float4 Pi = floor(P.xyxy) + float4(0.0f, 0.0f, 1.0f, 1.0f); float4 Pf = frac(P.xyxy) - float4(0.0f, 0.0f, 1.0f, 1.0f); Pi = mod289(Pi); // To avoid truncation effects in permutation float4 ix = Pi.xzxz; float4 iy = Pi.yyww; float4 fx = Pf.xzxz; float4 fy = Pf.yyww; float4 i = permute(permute(ix) + iy); float4 gx = frac(i * (1.0f / 41.0f)) * 2.0f - 1.0f; float4 gy = abs(gx) - 0.5f; float4 tx = floor(gx + 0.5f); gx = gx - tx; float2 g00 = float2(gx.x, gy.x); float2 g10 = float2(gx.y, gy.y); float2 g01 = float2(gx.z, gy.z); float2 g11 = float2(gx.w, gy.w); float4 norm = taylorInvSqrt(float4(dot(g00, g00), dot(g01, g01), dot(g10, g10), dot(g11, g11))); g00 *= norm.x; g01 *= norm.y; g10 *= norm.z; g11 *= norm.w; float n00 = dot(g00, float2(fx.x, fy.x)); float n10 = dot(g10, float2(fx.y, fy.y)); float n01 = dot(g01, float2(fx.z, fy.z)); float n11 = dot(g11, float2(fx.w, fy.w)); float2 fade_xy = fade(Pf.xy); float2 n_x = lerp(float2(n00, n01), float2(n10, n11), fade_xy.x); float n_xy = lerp(n_x.x, n_x.y, fade_xy.y); return 2.3f * n_xy; } // Classic Perlin noise, periodic variant public static float pnoise(float2 P, float2 rep) { float4 Pi = floor(P.xyxy) + float4(0.0f, 0.0f, 1.0f, 1.0f); float4 Pf = frac(P.xyxy) - float4(0.0f, 0.0f, 1.0f, 1.0f); Pi = fmod(Pi, rep.xyxy); // To create noise with explicit period Pi = mod289(Pi); // To avoid truncation effects in permutation float4 ix = Pi.xzxz; float4 iy = Pi.yyww; float4 fx = Pf.xzxz; float4 fy = Pf.yyww; float4 i = permute(permute(ix) + iy); float4 gx = frac(i * (1.0f / 41.0f)) * 2.0f - 1.0f; float4 gy = abs(gx) - 0.5f; float4 tx = floor(gx + 0.5f); gx = gx - tx; float2 g00 = float2(gx.x, gy.x); float2 g10 = float2(gx.y, gy.y); float2 g01 = float2(gx.z, gy.z); float2 g11 = float2(gx.w, gy.w); float4 norm = taylorInvSqrt(float4(dot(g00, g00), dot(g01, g01), dot(g10, g10), dot(g11, g11))); g00 *= norm.x; g01 *= norm.y; g10 *= norm.z; g11 *= norm.w; float n00 = dot(g00, float2(fx.x, fy.x)); float n10 = dot(g10, float2(fx.y, fy.y)); float n01 = dot(g01, float2(fx.z, fy.z)); float n11 = dot(g11, float2(fx.w, fy.w)); float2 fade_xy = fade(Pf.xy); float2 n_x = lerp(float2(n00, n01), float2(n10, n11), fade_xy.x); float n_xy = lerp(n_x.x, n_x.y, fade_xy.y); return 2.3f * n_xy; } } }