package org.pushingpixels.substance.internal.utils; /** * A class for producing Perlin-inspired noise. The code written by Ken Perlin. * * @author Ken Perlin http://mrl.nyu.edu/~perlin/ */ public class PerlinNoiseGenerator { /** * Returns noise for the specified coordinates. * * @param x * X coordinate. * @param y * Y coordinate. * @param z * Z coordinate. * @return Noise for the specified coordinates. */ static public double noise(double x, double y, double z) { int X = (int) Math.floor(x) & 255, // FIND UNIT CUBE THAT Y = (int) Math.floor(y) & 255, // CONTAINS POINT. Z = (int) Math.floor(z) & 255; x -= Math.floor(x); // FIND RELATIVE X,Y,Z y -= Math.floor(y); // OF POINT IN CUBE. z -= Math.floor(z); double u = fade(x), // COMPUTE FADE CURVES v = fade(y), // FOR EACH OF X,Y,Z. w = fade(z); int A = p[X] + Y, AA = p[A] + Z, AB = p[A + 1] + Z, // HASH COORDINATES // OF B = p[X + 1] + Y, BA = p[B] + Z, BB = p[B + 1] + Z; // THE 8 CUBE // CORNERS, return lerp(w, lerp(v, lerp(u, grad(p[AA], x, y, z), // AND ADD grad(p[BA], x - 1, y, z)), // BLENDED lerp(u, grad(p[AB], x, y - 1, z), // RESULTS grad(p[BB], x - 1, y - 1, z))),// FROM 8 lerp(v, lerp(u, grad(p[AA + 1], x, y, z - 1), // CORNERS grad(p[BA + 1], x - 1, y, z - 1)), // OF CUBE lerp(u, grad(p[AB + 1], x, y - 1, z - 1), grad( p[BB + 1], x - 1, y - 1, z - 1)))); } /** * Fades the specified value. * * @param t * Value to fade. * @return faded value. */ static double fade(double t) { return t * t * t * (t * (t * 6 - 15) + 10); } /** * Interpolates the specified value. * * @param t * Value. * @param a * Starting interpolation value. * @param b * Ending interpolation value. * @return Interpolated value. */ static double lerp(double t, double a, double b) { return a + t * (b - a); } /** * @param hash * @param x * @param y * @param z * @return */ static double grad(int hash, double x, double y, double z) { int h = hash & 15; // CONVERT LO 4 BITS OF HASH CODE double u = h < 8 ? x : y, // INTO 12 GRADIENT DIRECTIONS. v = h < 4 ? y : (h == 12) || (h == 14) ? x : z; return ((h & 1) == 0 ? u : -u) + ((h & 2) == 0 ? v : -v); } /** * Permutations. */ static final int p[] = new int[512]; /** * Permutations. */ static final int permutation[] = { 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 }; static { for (int i = 0; i < 256; i++) p[256 + i] = p[i] = permutation[i]; } }