sandboxels/scripts/perlin.js

/*
 * A speed-improved perlin and simplex noise algorithms for 2D.
 *
 * Based on example code by Stefan Gustavson (stegu@itn.liu.se).
 * Optimisations by Peter Eastman (peastman@drizzle.stanford.edu).
 * Better rank ordering method by Stefan Gustavson in 2012.
 * Converted to Javascript by Joseph Gentle.
 *
 * Version 2012-03-09
 *
 * This code was placed in the public domain by its original author,
 * Stefan Gustavson. You may use it as you see fit, but
 * attribution is appreciated.
 *
 */

(function(global){
  var module = global.noise = {};

  function Grad(x, y, z) {
    this.x = x; this.y = y; this.z = z;
  }
  
  Grad.prototype.dot2 = function(x, y) {
    return this.x*x + this.y*y;
  };

  Grad.prototype.dot3 = function(x, y, z) {
    return this.x*x + this.y*y + this.z*z;
  };

  var grad3 = [new Grad(1,1,0),new Grad(-1,1,0),new Grad(1,-1,0),new Grad(-1,-1,0),
               new Grad(1,0,1),new Grad(-1,0,1),new Grad(1,0,-1),new Grad(-1,0,-1),
               new Grad(0,1,1),new Grad(0,-1,1),new Grad(0,1,-1),new Grad(0,-1,-1)];

  var p = [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];
  // To remove the need for index wrapping, double the permutation table length
  var perm = new Array(512);
  var gradP = new Array(512);

  // This isn't a very good seeding function, but it works ok. It supports 2^16
  // different seed values. Write something better if you need more seeds.
  module.seed = function(seed) {
    if(seed > 0 && seed < 1) {
      // Scale the seed out
      seed *= 65536;
    }

    seed = Math.floor(seed);
    if(seed < 256) {
      seed |= seed << 8;
    }

    for(var i = 0; i < 256; i++) {
      var v;
      if (i & 1) {
        v = p[i] ^ (seed & 255);
      } else {
        v = p[i] ^ ((seed>>8) & 255);
      }

      perm[i] = perm[i + 256] = v;
      gradP[i] = gradP[i + 256] = grad3[v % 12];
    }
  };

  module.seed(0);

  /*
  for(var i=0; i<256; i++) {
    perm[i] = perm[i + 256] = p[i];
    gradP[i] = gradP[i + 256] = grad3[perm[i] % 12];
  }*/

  // Skewing and unskewing factors for 2, 3, and 4 dimensions
  var F2 = 0.5*(Math.sqrt(3)-1);
  var G2 = (3-Math.sqrt(3))/6;

  var F3 = 1/3;
  var G3 = 1/6;


  // ##### Perlin noise stuff

  function fade(t) {
    return t*t*t*(t*(t*6-15)+10);
  }

  function lerp(a, b, t) {
    return (1-t)*a + t*b;
  }

  // 2D Perlin Noise
  module.perlin2 = function(x, y) {
    // Find unit grid cell containing point
    var X = Math.floor(x), Y = Math.floor(y);
    // Get relative xy coordinates of point within that cell
    x = x - X; y = y - Y;
    // Wrap the integer cells at 255 (smaller integer period can be introduced here)
    X = X & 255; Y = Y & 255;

    // Calculate noise contributions from each of the four corners
    var n00 = gradP[X+perm[Y]].dot2(x, y);
    var n01 = gradP[X+perm[Y+1]].dot2(x, y-1);
    var n10 = gradP[X+1+perm[Y]].dot2(x-1, y);
    var n11 = gradP[X+1+perm[Y+1]].dot2(x-1, y-1);

    // Compute the fade curve value for x
    var u = fade(x);

    // Interpolate the four results
    return lerp(
        lerp(n00, n10, u),
        lerp(n01, n11, u),
       fade(y));
  };

  // 3D Perlin Noise
  module.perlin3 = function(x, y, z) {
    // Find unit grid cell containing point
    var X = Math.floor(x), Y = Math.floor(y), Z = Math.floor(z);
    // Get relative xyz coordinates of point within that cell
    x = x - X; y = y - Y; z = z - Z;
    // Wrap the integer cells at 255 (smaller integer period can be introduced here)
    X = X & 255; Y = Y & 255; Z = Z & 255;

    // Calculate noise contributions from each of the eight corners
    var n000 = gradP[X+  perm[Y+  perm[Z  ]]].dot3(x,   y,     z);
    var n001 = gradP[X+  perm[Y+  perm[Z+1]]].dot3(x,   y,   z-1);
    var n010 = gradP[X+  perm[Y+1+perm[Z  ]]].dot3(x,   y-1,   z);
    var n011 = gradP[X+  perm[Y+1+perm[Z+1]]].dot3(x,   y-1, z-1);
    var n100 = gradP[X+1+perm[Y+  perm[Z  ]]].dot3(x-1,   y,   z);
    var n101 = gradP[X+1+perm[Y+  perm[Z+1]]].dot3(x-1,   y, z-1);
    var n110 = gradP[X+1+perm[Y+1+perm[Z  ]]].dot3(x-1, y-1,   z);
    var n111 = gradP[X+1+perm[Y+1+perm[Z+1]]].dot3(x-1, y-1, z-1);

    // Compute the fade curve value for x, y, z
    var u = fade(x);
    var v = fade(y);
    var w = fade(z);

    // Interpolate
    return lerp(
        lerp(
          lerp(n000, n100, u),
          lerp(n001, n101, u), w),
        lerp(
          lerp(n010, n110, u),
          lerp(n011, n111, u), w),
       v);
  };

})(this);