public/data/heatmap-large.js - echarts-examples - Git at Google

 var noise = getNoiseHelper();
 var xData = [];
 var yData = [];
 noise.seed(Math.random());
 function generateData(theta, min, max) {
     var data = [];
     for (var i = 0; i <= 200; i++) {
         for (var j = 0; j <= 100; j++) {
             // var x = (max - min) * i / 200 + min;
             // var y = (max - min) * j / 100 + min;
             data.push([i, j, noise.perlin2(i / 40, j / 20) + 0.5]);
             // data.push([i, j, normalDist(theta, x) * normalDist(theta, y)]);
         }
         xData.push(i);
     }
     for (var j = 0; j < 100; j++) {
         yData.push(j);
     }
     return data;
 }
 var data = generateData(2, -5, 5);

 option = {
     tooltip: {},
     xAxis: {
         type: 'category',
         data: xData
     },
     yAxis: {
         type: 'category',
         data: yData
     },
     visualMap: {
         min: 0,
         max: 1,
         calculable: true,
         realtime: false,
         inRange: {
             color: ['#313695', '#4575b4', '#74add1', '#abd9e9', '#e0f3f8', '#ffffbf', '#fee090', '#fdae61', '#f46d43', '#d73027', '#a50026']
         }
     },
     series: [{
         name: 'Gaussian',
         type: 'heatmap',
         data: data,
         emphasis: {
             itemStyle: {
                 borderColor: '#333',
                 borderWidth: 1
             }
         },
         progressive: 1000,
         animation: false
     }]
 };


 ///////////////////////////////////////////////////////////////////////////
 // Simplex and perlin noise helper from https://github.com/josephg/noisejs
 ///////////////////////////////////////////////////////////////////////////
 function getNoiseHelper(global) {

   var module = {};

   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;

   // 2D simplex noise
   module.simplex2 = function(xin, yin) {
     var n0, n1, n2; // Noise contributions from the three corners
     // Skew the input space to determine which simplex cell we're in
     var s = (xin+yin)*F2; // Hairy factor for 2D
     var i = Math.floor(xin+s);
     var j = Math.floor(yin+s);
     var t = (i+j)*G2;
     var x0 = xin-i+t; // The x,y distances from the cell origin, unskewed.
     var y0 = yin-j+t;
     // For the 2D case, the simplex shape is an equilateral triangle.
     // Determine which simplex we are in.
     var i1, j1; // Offsets for second (middle) corner of simplex in (i,j) coords
     if(x0>y0) { // lower triangle, XY order: (0,0)->(1,0)->(1,1)
       i1=1; j1=0;
     } else {    // upper triangle, YX order: (0,0)->(0,1)->(1,1)
       i1=0; j1=1;
     }
     // A step of (1,0) in (i,j) means a step of (1-c,-c) in (x,y), and
     // a step of (0,1) in (i,j) means a step of (-c,1-c) in (x,y), where
     // c = (3-sqrt(3))/6
     var x1 = x0 - i1 + G2; // Offsets for middle corner in (x,y) unskewed coords
     var y1 = y0 - j1 + G2;
     var x2 = x0 - 1 + 2 * G2; // Offsets for last corner in (x,y) unskewed coords
     var y2 = y0 - 1 + 2 * G2;
     // Work out the hashed gradient indices of the three simplex corners
     i &= 255;
     j &= 255;
     var gi0 = gradP[i+perm[j]];
     var gi1 = gradP[i+i1+perm[j+j1]];
     var gi2 = gradP[i+1+perm[j+1]];
     // Calculate the contribution from the three corners
     var t0 = 0.5 - x0*x0-y0*y0;
     if(t0<0) {
       n0 = 0;
     } else {
       t0 *= t0;
       n0 = t0 * t0 * gi0.dot2(x0, y0);  // (x,y) of grad3 used for 2D gradient
     }
     var t1 = 0.5 - x1*x1-y1*y1;
     if(t1<0) {
       n1 = 0;
     } else {
       t1 *= t1;
       n1 = t1 * t1 * gi1.dot2(x1, y1);
     }
     var t2 = 0.5 - x2*x2-y2*y2;
     if(t2<0) {
       n2 = 0;
     } else {
       t2 *= t2;
       n2 = t2 * t2 * gi2.dot2(x2, y2);
     }
     // Add contributions from each corner to get the final noise value.
     // The result is scaled to return values in the interval [-1,1].
     return 70 * (n0 + n1 + n2);
   };

   // 3D simplex noise
   module.simplex3 = function(xin, yin, zin) {
     var n0, n1, n2, n3; // Noise contributions from the four corners

     // Skew the input space to determine which simplex cell we're in
     var s = (xin+yin+zin)*F3; // Hairy factor for 2D
     var i = Math.floor(xin+s);
     var j = Math.floor(yin+s);
     var k = Math.floor(zin+s);

     var t = (i+j+k)*G3;
     var x0 = xin-i+t; // The x,y distances from the cell origin, unskewed.
     var y0 = yin-j+t;
     var z0 = zin-k+t;

     // For the 3D case, the simplex shape is a slightly irregular tetrahedron.
     // Determine which simplex we are in.
     var i1, j1, k1; // Offsets for second corner of simplex in (i,j,k) coords
     var i2, j2, k2; // Offsets for third corner of simplex in (i,j,k) coords
     if(x0 >= y0) {
       if(y0 >= z0)      { i1=1; j1=0; k1=0; i2=1; j2=1; k2=0; }
       else if(x0 >= z0) { i1=1; j1=0; k1=0; i2=1; j2=0; k2=1; }
       else              { i1=0; j1=0; k1=1; i2=1; j2=0; k2=1; }
     } else {
       if(y0 < z0)      { i1=0; j1=0; k1=1; i2=0; j2=1; k2=1; }
       else if(x0 < z0) { i1=0; j1=1; k1=0; i2=0; j2=1; k2=1; }
       else             { i1=0; j1=1; k1=0; i2=1; j2=1; k2=0; }
     }
     // A step of (1,0,0) in (i,j,k) means a step of (1-c,-c,-c) in (x,y,z),
     // a step of (0,1,0) in (i,j,k) means a step of (-c,1-c,-c) in (x,y,z), and
     // a step of (0,0,1) in (i,j,k) means a step of (-c,-c,1-c) in (x,y,z), where
     // c = 1/6.
     var x1 = x0 - i1 + G3; // Offsets for second corner
     var y1 = y0 - j1 + G3;
     var z1 = z0 - k1 + G3;

     var x2 = x0 - i2 + 2 * G3; // Offsets for third corner
     var y2 = y0 - j2 + 2 * G3;
     var z2 = z0 - k2 + 2 * G3;

     var x3 = x0 - 1 + 3 * G3; // Offsets for fourth corner
     var y3 = y0 - 1 + 3 * G3;
     var z3 = z0 - 1 + 3 * G3;

     // Work out the hashed gradient indices of the four simplex corners
     i &= 255;
     j &= 255;
     k &= 255;
     var gi0 = gradP[i+   perm[j+   perm[k   ]]];
     var gi1 = gradP[i+i1+perm[j+j1+perm[k+k1]]];
     var gi2 = gradP[i+i2+perm[j+j2+perm[k+k2]]];
     var gi3 = gradP[i+ 1+perm[j+ 1+perm[k+ 1]]];

     // Calculate the contribution from the four corners
     var t0 = 0.6 - x0*x0 - y0*y0 - z0*z0;
     if(t0<0) {
       n0 = 0;
     } else {
       t0 *= t0;
       n0 = t0 * t0 * gi0.dot3(x0, y0, z0);  // (x,y) of grad3 used for 2D gradient
     }
     var t1 = 0.6 - x1*x1 - y1*y1 - z1*z1;
     if(t1<0) {
       n1 = 0;
     } else {
       t1 *= t1;
       n1 = t1 * t1 * gi1.dot3(x1, y1, z1);
     }
     var t2 = 0.6 - x2*x2 - y2*y2 - z2*z2;
     if(t2<0) {
       n2 = 0;
     } else {
       t2 *= t2;
       n2 = t2 * t2 * gi2.dot3(x2, y2, z2);
     }
     var t3 = 0.6 - x3*x3 - y3*y3 - z3*z3;
     if(t3<0) {
       n3 = 0;
     } else {
       t3 *= t3;
       n3 = t3 * t3 * gi3.dot3(x3, y3, z3);
     }
     // Add contributions from each corner to get the final noise value.
     // The result is scaled to return values in the interval [-1,1].
     return 32 * (n0 + n1 + n2 + n3);

   };

   // ##### 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);
   };


   return module;
 }
	var noise = getNoiseHelper();
	var xData = [];
	var yData = [];
	noise.seed(Math.random());
	function generateData(theta, min, max) {
	var data = [];
	for (var i = 0; i <= 200; i++) {
	for (var j = 0; j <= 100; j++) {
	// var x = (max - min) * i / 200 + min;
	// var y = (max - min) * j / 100 + min;
	data.push([i, j, noise.perlin2(i / 40, j / 20) + 0.5]);
	// data.push([i, j, normalDist(theta, x) * normalDist(theta, y)]);
	}
	xData.push(i);
	}
	for (var j = 0; j < 100; j++) {
	yData.push(j);
	}
	return data;
	}
	var data = generateData(2, -5, 5);

	option = {
	tooltip: {},
	xAxis: {
	type: 'category',
	data: xData
	},
	yAxis: {
	type: 'category',
	data: yData
	},
	visualMap: {
	min: 0,
	max: 1,
	calculable: true,
	realtime: false,
	inRange: {
	color: ['#313695', '#4575b4', '#74add1', '#abd9e9', '#e0f3f8', '#ffffbf', '#fee090', '#fdae61', '#f46d43', '#d73027', '#a50026']
	}
	},
	series: [{
	name: 'Gaussian',
	type: 'heatmap',
	data: data,
	emphasis: {
	itemStyle: {
	borderColor: '#333',
	borderWidth: 1
	}
	},
	progressive: 1000,
	animation: false
	}]
	};



	///////////////////////////////////////////////////////////////////////////
	// Simplex and perlin noise helper from https://github.com/josephg/noisejs
	///////////////////////////////////////////////////////////////////////////
	function getNoiseHelper(global) {

	var module = {};

	function Grad(x, y, z) {
	this.x = x; this.y = y; this.z = z;
	}

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

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

	// 2D simplex noise
	module.simplex2 = function(xin, yin) {
	var n0, n1, n2; // Noise contributions from the three corners
	// Skew the input space to determine which simplex cell we're in
	var s = (xin+yin)*F2; // Hairy factor for 2D
	var i = Math.floor(xin+s);
	var j = Math.floor(yin+s);
	var t = (i+j)*G2;
	var x0 = xin-i+t; // The x,y distances from the cell origin, unskewed.
	var y0 = yin-j+t;
	// For the 2D case, the simplex shape is an equilateral triangle.
	// Determine which simplex we are in.
	var i1, j1; // Offsets for second (middle) corner of simplex in (i,j) coords
	if(x0>y0) { // lower triangle, XY order: (0,0)->(1,0)->(1,1)
	i1=1; j1=0;
	} else { // upper triangle, YX order: (0,0)->(0,1)->(1,1)
	i1=0; j1=1;
	}
	// A step of (1,0) in (i,j) means a step of (1-c,-c) in (x,y), and
	// a step of (0,1) in (i,j) means a step of (-c,1-c) in (x,y), where
	// c = (3-sqrt(3))/6
	var x1 = x0 - i1 + G2; // Offsets for middle corner in (x,y) unskewed coords
	var y1 = y0 - j1 + G2;
	var x2 = x0 - 1 + 2 * G2; // Offsets for last corner in (x,y) unskewed coords
	var y2 = y0 - 1 + 2 * G2;
	// Work out the hashed gradient indices of the three simplex corners
	i &= 255;
	j &= 255;
	var gi0 = gradP[i+perm[j]];
	var gi1 = gradP[i+i1+perm[j+j1]];
	var gi2 = gradP[i+1+perm[j+1]];
	// Calculate the contribution from the three corners
	var t0 = 0.5 - x0x0-y0y0;
	if(t0<0) {
	n0 = 0;
	} else {
	t0 *= t0;
	n0 = t0 * t0 * gi0.dot2(x0, y0); // (x,y) of grad3 used for 2D gradient
	}
	var t1 = 0.5 - x1x1-y1y1;
	if(t1<0) {
	n1 = 0;
	} else {
	t1 *= t1;
	n1 = t1 * t1 * gi1.dot2(x1, y1);
	}
	var t2 = 0.5 - x2x2-y2y2;
	if(t2<0) {
	n2 = 0;
	} else {
	t2 *= t2;
	n2 = t2 * t2 * gi2.dot2(x2, y2);
	}
	// Add contributions from each corner to get the final noise value.
	// The result is scaled to return values in the interval [-1,1].
	return 70 * (n0 + n1 + n2);
	};

	// 3D simplex noise
	module.simplex3 = function(xin, yin, zin) {
	var n0, n1, n2, n3; // Noise contributions from the four corners

	// Skew the input space to determine which simplex cell we're in
	var s = (xin+yin+zin)*F3; // Hairy factor for 2D
	var i = Math.floor(xin+s);
	var j = Math.floor(yin+s);
	var k = Math.floor(zin+s);

	var t = (i+j+k)*G3;
	var x0 = xin-i+t; // The x,y distances from the cell origin, unskewed.
	var y0 = yin-j+t;
	var z0 = zin-k+t;

	// For the 3D case, the simplex shape is a slightly irregular tetrahedron.
	// Determine which simplex we are in.
	var i1, j1, k1; // Offsets for second corner of simplex in (i,j,k) coords
	var i2, j2, k2; // Offsets for third corner of simplex in (i,j,k) coords
	if(x0 >= y0) {
	if(y0 >= z0) { i1=1; j1=0; k1=0; i2=1; j2=1; k2=0; }
	else if(x0 >= z0) { i1=1; j1=0; k1=0; i2=1; j2=0; k2=1; }
	else { i1=0; j1=0; k1=1; i2=1; j2=0; k2=1; }
	} else {
	if(y0 < z0) { i1=0; j1=0; k1=1; i2=0; j2=1; k2=1; }
	else if(x0 < z0) { i1=0; j1=1; k1=0; i2=0; j2=1; k2=1; }
	else { i1=0; j1=1; k1=0; i2=1; j2=1; k2=0; }
	}
	// A step of (1,0,0) in (i,j,k) means a step of (1-c,-c,-c) in (x,y,z),
	// a step of (0,1,0) in (i,j,k) means a step of (-c,1-c,-c) in (x,y,z), and
	// a step of (0,0,1) in (i,j,k) means a step of (-c,-c,1-c) in (x,y,z), where
	// c = 1/6.
	var x1 = x0 - i1 + G3; // Offsets for second corner
	var y1 = y0 - j1 + G3;
	var z1 = z0 - k1 + G3;

	var x2 = x0 - i2 + 2 * G3; // Offsets for third corner
	var y2 = y0 - j2 + 2 * G3;
	var z2 = z0 - k2 + 2 * G3;

	var x3 = x0 - 1 + 3 * G3; // Offsets for fourth corner
	var y3 = y0 - 1 + 3 * G3;
	var z3 = z0 - 1 + 3 * G3;

	// Work out the hashed gradient indices of the four simplex corners
	i &= 255;
	j &= 255;
	k &= 255;
	var gi0 = gradP[i+ perm[j+ perm[k ]]];
	var gi1 = gradP[i+i1+perm[j+j1+perm[k+k1]]];
	var gi2 = gradP[i+i2+perm[j+j2+perm[k+k2]]];
	var gi3 = gradP[i+ 1+perm[j+ 1+perm[k+ 1]]];

	// Calculate the contribution from the four corners
	var t0 = 0.6 - x0x0 - y0y0 - z0*z0;
	if(t0<0) {
	n0 = 0;
	} else {
	t0 *= t0;
	n0 = t0 * t0 * gi0.dot3(x0, y0, z0); // (x,y) of grad3 used for 2D gradient
	}
	var t1 = 0.6 - x1x1 - y1y1 - z1*z1;
	if(t1<0) {
	n1 = 0;
	} else {
	t1 *= t1;
	n1 = t1 * t1 * gi1.dot3(x1, y1, z1);
	}
	var t2 = 0.6 - x2x2 - y2y2 - z2*z2;
	if(t2<0) {
	n2 = 0;
	} else {
	t2 *= t2;
	n2 = t2 * t2 * gi2.dot3(x2, y2, z2);
	}
	var t3 = 0.6 - x3x3 - y3y3 - z3*z3;
	if(t3<0) {
	n3 = 0;
	} else {
	t3 *= t3;
	n3 = t3 * t3 * gi3.dot3(x3, y3, z3);
	}
	// Add contributions from each corner to get the final noise value.
	// The result is scaled to return values in the interval [-1,1].
	return 32 * (n0 + n1 + n2 + n3);

	};

	// ##### Perlin noise stuff

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

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

	// 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);
	};


	return module;
	}