// Copyright (c) 2012-2023 Wojciech Figat. All rights reserved. using System; namespace FlaxEngine.Utilities { /// /// Helper class for Perlin Noise generation. /// [HideInEditor] public class PerlinNoise { /// /// The base value. /// public float Base = 0.0f; /// /// The noise scale parameter. /// public float NoiseScale = 1.0f; /// /// The noise amount parameter. /// public float NoiseAmount = 1.0f; /// /// The noise octaves count. /// public int Octaves = 4; /// /// Initializes a new instance of the class. /// public PerlinNoise() { } /// /// Initializes a new instance of the class. /// /// The base value. /// The noise scale. /// The noise amount. /// The noise octaves count. public PerlinNoise(float baseValue, float scale, float amount, int octaves = 4) { Base = baseValue; NoiseScale = scale; NoiseAmount = amount; Octaves = octaves; } /// /// Samples the Perlin Noise at the given location (integer coordinates). /// /// The x coordinate. /// The y coordinate. /// The noise value. public float Sample(int x, int y) { float noise = 0.0f; if (NoiseScale > Mathf.Epsilon) { x = Math.Abs(x); y = Math.Abs(y); for (int octave = 0; octave < Octaves; octave++) { float octaveShift = 1 << octave; float octaveScale = octaveShift / NoiseScale; noise += PerlinNoise2D(x * octaveScale, y * octaveScale) / octaveShift; } } return Base + noise * NoiseAmount; } private float Fade(float t) { return t * t * t * (t * (t * 6 - 15) + 10); } private float Grad(int hash, float x, float y) { int h = hash & 15; float u = h < 8 || h == 12 || h == 13 ? x : y, v = h < 4 || h == 12 || h == 13 ? y : 0; return ((h & 1) == 0 ? u : -u) + ((h & 2) == 0 ? v : -v); } private float PerlinNoise2D(float x, float y) { int truncX = Mathf.FloorToInt(x), truncY = Mathf.FloorToInt(y), intX = truncX & 255, intY = truncY & 255; float fracX = x - truncX, fracY = y - truncY; float u = Fade(fracX), v = Fade(fracY); int a = Permutations[intX] + intY, aa = Permutations[a & 255], ab = Permutations[(a + 1) & 255], b = Permutations[(intX + 1) & 255] + intY, ba = Permutations[b & 255], bb = Permutations[(b + 1) & 255]; return Mathf.Lerp(Mathf.Lerp(Grad(Permutations[aa], fracX, fracY), Grad(Permutations[ba], fracX - 1, fracY), u), Mathf.Lerp(Grad(Permutations[ab], fracX, fracY - 1), Grad(Permutations[bb], fracX - 1, fracY - 1), u), v); } private static readonly int[] Permutations = { 151, 160, 137, 91, 90, 15, 131, 13, 201, 95, 96, 53, 194, 233, 7, 225, 140, 36, 103, 30, 69, 142, 8, 99, 37, 240, 21, 10, 23, 190, 6, 148, 247, 120, 234, 75, 0, 26, 197, 62, 94, 252, 219, 203, 117, 35, 11, 32, 57, 177, 33, 88, 237, 149, 56, 87, 174, 20, 125, 136, 171, 168, 68, 175, 74, 165, 71, 134, 139, 48, 27, 166, 77, 146, 158, 231, 83, 111, 229, 122, 60, 211, 133, 230, 220, 105, 92, 41, 55, 46, 245, 40, 244, 102, 143, 54, 65, 25, 63, 161, 1, 216, 80, 73, 209, 76, 132, 187, 208, 89, 18, 169, 200, 196, 135, 130, 116, 188, 159, 86, 164, 100, 109, 198, 173, 186, 3, 64, 52, 217, 226, 250, 124, 123, 5, 202, 38, 147, 118, 126, 255, 82, 85, 212, 207, 206, 59, 227, 47, 16, 58, 17, 182, 189, 28, 42, 223, 183, 170, 213, 119, 248, 152, 2, 44, 154, 163, 70, 221, 153, 101, 155, 167, 43, 172, 9, 129, 22, 39, 253, 19, 98, 108, 110, 79, 113, 224, 232, 178, 185, 112, 104, 218, 246, 97, 228, 251, 34, 242, 193, 238, 210, 144, 12, 191, 179, 162, 241, 81, 51, 145, 235, 249, 14, 239, 107, 49, 192, 214, 31, 181, 199, 106, 157, 184, 84, 204, 176, 115, 121, 50, 45, 127, 4, 150, 254, 138, 236, 205, 93, 222, 114, 67, 29, 24, 72, 243, 141, 128, 195, 78, 66, 215, 61, 156, 180 }; } }