/** * @author oosmoxiecode * based on http://code.google.com/p/away3d/source/browse/trunk/fp10/Away3D/src/away3d/primitives/TorusKnot.as?spec=svn2473&r=2473 */ THREE.TorusKnotGeometry = function ( radius, tube, segmentsR, segmentsT, p, q, heightScale ) { THREE.Geometry.call( this ); var scope = this; this.radius = radius || 200; this.tube = tube || 40; this.segmentsR = segmentsR || 64; this.segmentsT = segmentsT || 8; this.p = p || 2; this.q = q || 3; this.heightScale = heightScale || 1; this.grid = new Array(this.segmentsR); var tang = new THREE.Vector3(); var n = new THREE.Vector3(); var bitan = new THREE.Vector3(); for ( var i = 0; i < this.segmentsR; ++ i ) { this.grid[ i ] = new Array( this.segmentsT ); for ( var j = 0; j < this.segmentsT; ++ j ) { var u = i / this.segmentsR * 2 * this.p * Math.PI; var v = j / this.segmentsT * 2 * Math.PI; var p = getPos( u, v, this.q, this.p, this.radius, this.heightScale ); var p2 = getPos( u + 0.01, v, this.q, this.p, this.radius, this.heightScale ); var cx, cy; tang.x = p2.x - p.x; tang.y = p2.y - p.y; tang.z = p2.z - p.z; n.x = p2.x + p.x; n.y = p2.y + p.y; n.z = p2.z + p.z; bitan.cross( tang, n ); n.cross( bitan, tang ); bitan.normalize(); n.normalize(); cx = - this.tube * Math.cos( v ); // TODO: Hack: Negating it so it faces outside. cy = this.tube * Math.sin( v ); p.x += cx * n.x + cy * bitan.x; p.y += cx * n.y + cy * bitan.y; p.z += cx * n.z + cy * bitan.z; this.grid[ i ][ j ] = vert( p.x, p.y, p.z ); } } for ( var i = 0; i < this.segmentsR; ++ i ) { for ( var j = 0; j < this.segmentsT; ++ j ) { var ip = ( i + 1 ) % this.segmentsR; var jp = ( j + 1 ) % this.segmentsT; var a = this.grid[ i ][ j ]; var b = this.grid[ ip ][ j ]; var c = this.grid[ ip ][ jp ]; var d = this.grid[ i ][ jp ]; var uva = new THREE.UV( i / this.segmentsR, j / this.segmentsT ); var uvb = new THREE.UV( ( i + 1 ) / this.segmentsR, j / this.segmentsT ); var uvc = new THREE.UV( ( i + 1 ) / this.segmentsR, ( j + 1 ) / this.segmentsT ); var uvd = new THREE.UV( i / this.segmentsR, ( j + 1 ) / this.segmentsT ); this.faces.push( new THREE.Face4( a, b, c, d ) ); this.faceVertexUvs[ 0 ].push( [ uva,uvb,uvc, uvd ] ); } } this.computeCentroids(); this.computeFaceNormals(); this.computeVertexNormals(); function vert( x, y, z ) { return scope.vertices.push( new THREE.Vertex( new THREE.Vector3( x, y, z ) ) ) - 1; } function getPos( u, v, in_q, in_p, radius, heightScale ) { var cu = Math.cos( u ); var cv = Math.cos( v ); var su = Math.sin( u ); var quOverP = in_q / in_p * u; var cs = Math.cos( quOverP ); var tx = radius * ( 2 + cs ) * 0.5 * cu; var ty = radius * ( 2 + cs ) * su * 0.5; var tz = heightScale * radius * Math.sin( quOverP ) * 0.5; return new THREE.Vector3( tx, ty, tz ); } }; THREE.TorusKnotGeometry.prototype = new THREE.Geometry(); THREE.TorusKnotGeometry.prototype.constructor = THREE.TorusKnotGeometry;