1 /**
  2  * @author oosmoxiecode
  3  * based on http://code.google.com/p/away3d/source/browse/trunk/fp10/Away3D/src/away3d/primitives/TorusKnot.as?spec=svn2473&r=2473
  4  */
  5 
  6 /**@constructor*/
  7 THREE.TorusKnotGeometry = function ( radius, tube, radialSegments, tubularSegments, p, q, heightScale ) {
  8 
  9 	THREE.Geometry.call( this );
 10 
 11 	var scope = this;
 12 
 13 	this.radius = radius || 200;
 14 	this.tube = tube || 40;
 15 	this.radialSegments = radialSegments || 64;
 16 	this.tubularSegments = tubularSegments || 8;
 17 	this.p = p || 2;
 18 	this.q = q || 3;
 19 	this.heightScale = heightScale || 1;
 20 	this.grid = new Array(this.radialSegments);
 21 
 22 	var tang = new THREE.Vector3();
 23 	var n = new THREE.Vector3();
 24 	var bitan = new THREE.Vector3();
 25 
 26 	for ( var i = 0; i < this.radialSegments; ++ i ) {
 27 
 28 		this.grid[ i ] = new Array( this.tubularSegments );
 29 
 30 		for ( var j = 0; j < this.tubularSegments; ++ j ) {
 31 
 32 			var u = i / this.radialSegments * 2 * this.p * Math.PI;
 33 			var v = j / this.tubularSegments * 2 * Math.PI;
 34 			var p1 = getPos( u, v, this.q, this.p, this.radius, this.heightScale );
 35 			var p2 = getPos( u + 0.01, v, this.q, this.p, this.radius, this.heightScale );
 36 			var cx, cy;
 37 
 38 			tang.sub( p2, p1 );
 39 			n.add( p2, p1 );
 40 
 41 			bitan.cross( tang, n );
 42 			n.cross( bitan, tang );
 43 			bitan.normalize();
 44 			n.normalize();
 45 
 46 			cx = - this.tube * Math.cos( v ); // TODO: Hack: Negating it so it faces outside.
 47 			cy = this.tube * Math.sin( v );
 48 
 49 			p1.x += cx * n.x + cy * bitan.x;
 50 			p1.y += cx * n.y + cy * bitan.y;
 51 			p1.z += cx * n.z + cy * bitan.z;
 52 
 53 			this.grid[ i ][ j ] = vert( p1.x, p1.y, p1.z );
 54 
 55 		}
 56 
 57 	}
 58 
 59 	for ( var i = 0; i < this.radialSegments; ++ i ) {
 60 
 61 		for ( var j = 0; j < this.tubularSegments; ++ j ) {
 62 
 63 			var ip = ( i + 1 ) % this.radialSegments;
 64 			var jp = ( j + 1 ) % this.tubularSegments;
 65 
 66 			var a = this.grid[ i ][ j ];
 67 			var b = this.grid[ ip ][ j ];
 68 			var c = this.grid[ ip ][ jp ];
 69 			var d = this.grid[ i ][ jp ];
 70 
 71 			var uva = new THREE.UV( i / this.radialSegments, j / this.tubularSegments );
 72 			var uvb = new THREE.UV( ( i + 1 ) / this.radialSegments, j / this.tubularSegments );
 73 			var uvc = new THREE.UV( ( i + 1 ) / this.radialSegments, ( j + 1 ) / this.tubularSegments );
 74 			var uvd = new THREE.UV( i / this.radialSegments, ( j + 1 ) / this.tubularSegments );
 75 
 76 			this.faces.push( new THREE.Face4( a, b, c, d ) );
 77 			this.faceVertexUvs[ 0 ].push( [ uva,uvb,uvc, uvd ] );
 78 
 79 		}
 80 	}
 81 
 82 	this.computeCentroids();
 83 	this.computeFaceNormals();
 84 	this.computeVertexNormals();
 85 
 86 	function vert( x, y, z ) {
 87 
 88 		return scope.vertices.push( new THREE.Vector3( x, y, z ) ) - 1;
 89 
 90 	}
 91 
 92 	function getPos( u, v, in_q, in_p, radius, heightScale ) {
 93 
 94 		var cu = Math.cos( u );
 95 		var cv = Math.cos( v );
 96 		var su = Math.sin( u );
 97 		var quOverP = in_q / in_p * u;
 98 		var cs = Math.cos( quOverP );
 99 
100 		var tx = radius * ( 2 + cs ) * 0.5 * cu;
101 		var ty = radius * ( 2 + cs ) * su * 0.5;
102 		var tz = heightScale * radius * Math.sin( quOverP ) * 0.5;
103 
104 		return new THREE.Vector3( tx, ty, tz );
105 
106 	}
107 
108 };
109 
110 THREE.TorusKnotGeometry.prototype = Object.create( THREE.Geometry.prototype );
111 

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