/** * @author mr.doob / http://mrdoob.com/ * @author kile / http://kile.stravaganza.org/ * @author alteredq / http://alteredqualia.com/ */ THREE.Geometry = function () { this.vertices = []; this.faces = []; this.uvs = []; this.uvs2 = []; this.boundingBox = null; this.boundingSphere = null; this.geometryChunks = {}; this.hasTangents = false; }; THREE.Geometry.prototype = { computeCentroids: function () { var f, fl, face; for ( f = 0, fl = this.faces.length; f < fl; f ++ ) { face = this.faces[ f ]; face.centroid.set( 0, 0, 0 ); if ( face instanceof THREE.Face3 ) { face.centroid.addSelf( this.vertices[ face.a ].position ); face.centroid.addSelf( this.vertices[ face.b ].position ); face.centroid.addSelf( this.vertices[ face.c ].position ); face.centroid.divideScalar( 3 ); } else if ( face instanceof THREE.Face4 ) { face.centroid.addSelf( this.vertices[ face.a ].position ); face.centroid.addSelf( this.vertices[ face.b ].position ); face.centroid.addSelf( this.vertices[ face.c ].position ); face.centroid.addSelf( this.vertices[ face.d ].position ); face.centroid.divideScalar( 4 ); } } }, computeFaceNormals: function ( useVertexNormals ) { var n, nl, v, vl, vertex, f, fl, face, vA, vB, vC, cb = new THREE.Vector3(), ab = new THREE.Vector3(); for ( v = 0, vl = this.vertices.length; v < vl; v ++ ) { vertex = this.vertices[ v ]; vertex.normal.set( 0, 0, 0 ); } for ( f = 0, fl = this.faces.length; f < fl; f ++ ) { face = this.faces[ f ]; if ( useVertexNormals && face.vertexNormals.length ) { cb.set( 0, 0, 0 ); for ( n = 0, nl = face.normal.length; n < nl; n++ ) { cb.addSelf( face.vertexNormals[n] ); } cb.divideScalar( 3 ); if ( ! cb.isZero() ) { cb.normalize(); } face.normal.copy( cb ); } else { vA = this.vertices[ face.a ]; vB = this.vertices[ face.b ]; vC = this.vertices[ face.c ]; cb.sub( vC.position, vB.position ); ab.sub( vA.position, vB.position ); cb.crossSelf( ab ); if ( !cb.isZero() ) { cb.normalize(); } face.normal.copy( cb ); } } }, computeVertexNormals: function () { var v, vl, f, fl, face, vertices; // create internal buffers for reuse when calling this method repeatedly // (otherwise memory allocation / deallocation every frame is big resource hog) if ( this.__tmpVertices == undefined ) { this.__tmpVertices = new Array( this.vertices.length ); vertices = this.__tmpVertices; for ( v = 0, vl = this.vertices.length; v < vl; v ++ ) { vertices[ v ] = new THREE.Vector3(); } for ( f = 0, fl = this.faces.length; f < fl; f ++ ) { face = this.faces[ f ]; if ( face instanceof THREE.Face3 ) { face.vertexNormals = [ new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3() ]; } else if ( face instanceof THREE.Face4 ) { face.vertexNormals = [ new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3() ]; } } } else { vertices = this.__tmpVertices; for ( v = 0, vl = this.vertices.length; v < vl; v ++ ) { vertices[ v ].set( 0, 0, 0 ); } } for ( f = 0, fl = this.faces.length; f < fl; f ++ ) { face = this.faces[ f ]; if ( face instanceof THREE.Face3 ) { vertices[ face.a ].addSelf( face.normal ); vertices[ face.b ].addSelf( face.normal ); vertices[ face.c ].addSelf( face.normal ); } else if ( face instanceof THREE.Face4 ) { vertices[ face.a ].addSelf( face.normal ); vertices[ face.b ].addSelf( face.normal ); vertices[ face.c ].addSelf( face.normal ); vertices[ face.d ].addSelf( face.normal ); } } for ( v = 0, vl = this.vertices.length; v < vl; v ++ ) { vertices[ v ].normalize(); } for ( f = 0, fl = this.faces.length; f < fl; f ++ ) { face = this.faces[ f ]; if ( face instanceof THREE.Face3 ) { face.vertexNormals[ 0 ].copy( vertices[ face.a ] ); face.vertexNormals[ 1 ].copy( vertices[ face.b ] ); face.vertexNormals[ 2 ].copy( vertices[ face.c ] ); } else if ( face instanceof THREE.Face4 ) { face.vertexNormals[ 0 ].copy( vertices[ face.a ] ); face.vertexNormals[ 1 ].copy( vertices[ face.b ] ); face.vertexNormals[ 2 ].copy( vertices[ face.c ] ); face.vertexNormals[ 3 ].copy( vertices[ face.d ] ); } } }, computeTangents: function() { // based on http://www.terathon.com/code/tangent.html // tangents go to vertices var f, fl, v, vl, face, uv, vA, vB, vC, uvA, uvB, uvC, x1, x2, y1, y2, z1, z2, s1, s2, t1, t2, r, t, test, tan1 = [], tan2 = [], sdir = new THREE.Vector3(), tdir = new THREE.Vector3(), tmp = new THREE.Vector3(), tmp2 = new THREE.Vector3(), n = new THREE.Vector3(), w; for ( v = 0, vl = this.vertices.length; v < vl; v ++ ) { tan1[ v ] = new THREE.Vector3(); tan2[ v ] = new THREE.Vector3(); } function handleTriangle( context, a, b, c, ua, ub, uc ) { vA = context.vertices[ a ].position; vB = context.vertices[ b ].position; vC = context.vertices[ c ].position; uvA = uv[ ua ]; uvB = uv[ ub ]; uvC = uv[ uc ]; x1 = vB.x - vA.x; x2 = vC.x - vA.x; y1 = vB.y - vA.y; y2 = vC.y - vA.y; z1 = vB.z - vA.z; z2 = vC.z - vA.z; s1 = uvB.u - uvA.u; s2 = uvC.u - uvA.u; t1 = uvB.v - uvA.v; t2 = uvC.v - uvA.v; r = 1.0 / ( s1 * t2 - s2 * t1 ); sdir.set( ( t2 * x1 - t1 * x2 ) * r, ( t2 * y1 - t1 * y2 ) * r, ( t2 * z1 - t1 * z2 ) * r ); tdir.set( ( s1 * x2 - s2 * x1 ) * r, ( s1 * y2 - s2 * y1 ) * r, ( s1 * z2 - s2 * z1 ) * r ); tan1[ a ].addSelf( sdir ); tan1[ b ].addSelf( sdir ); tan1[ c ].addSelf( sdir ); tan2[ a ].addSelf( tdir ); tan2[ b ].addSelf( tdir ); tan2[ c ].addSelf( tdir ); } for ( f = 0, fl = this.faces.length; f < fl; f ++ ) { face = this.faces[ f ]; uv = this.uvs[ f ]; if ( face instanceof THREE.Face3 ) { handleTriangle( this, face.a, face.b, face.c, 0, 1, 2 ); this.vertices[ face.a ].normal.copy( face.vertexNormals[ 0 ] ); this.vertices[ face.b ].normal.copy( face.vertexNormals[ 1 ] ); this.vertices[ face.c ].normal.copy( face.vertexNormals[ 2 ] ); } else if ( face instanceof THREE.Face4 ) { handleTriangle( this, face.a, face.b, face.c, 0, 1, 2 ); handleTriangle( this, face.a, face.b, face.d, 0, 1, 3 ); this.vertices[ face.a ].normal.copy( face.vertexNormals[ 0 ] ); this.vertices[ face.b ].normal.copy( face.vertexNormals[ 1 ] ); this.vertices[ face.c ].normal.copy( face.vertexNormals[ 2 ] ); this.vertices[ face.d ].normal.copy( face.vertexNormals[ 3 ] ); } } for ( v = 0, vl = this.vertices.length; v < vl; v ++ ) { n.copy( this.vertices[ v ].normal ); t = tan1[ v ]; // Gram-Schmidt orthogonalize tmp.copy( t ); tmp.subSelf( n.multiplyScalar( n.dot( t ) ) ).normalize(); // Calculate handedness tmp2.cross( this.vertices[ v ].normal, t ); test = tmp2.dot( tan2[ v ] ); w = (test < 0.0) ? -1.0 : 1.0; this.vertices[ v ].tangent.set( tmp.x, tmp.y, tmp.z, w ); } this.hasTangents = true; }, computeBoundingBox: function () { var vertex; if ( this.vertices.length > 0 ) { this.boundingBox = { 'x': [ this.vertices[ 0 ].position.x, this.vertices[ 0 ].position.x ], 'y': [ this.vertices[ 0 ].position.y, this.vertices[ 0 ].position.y ], 'z': [ this.vertices[ 0 ].position.z, this.vertices[ 0 ].position.z ] }; for ( var v = 1, vl = this.vertices.length; v < vl; v ++ ) { vertex = this.vertices[ v ]; if ( vertex.position.x < this.boundingBox.x[ 0 ] ) { this.boundingBox.x[ 0 ] = vertex.position.x; } else if ( vertex.position.x > this.boundingBox.x[ 1 ] ) { this.boundingBox.x[ 1 ] = vertex.position.x; } if ( vertex.position.y < this.boundingBox.y[ 0 ] ) { this.boundingBox.y[ 0 ] = vertex.position.y; } else if ( vertex.position.y > this.boundingBox.y[ 1 ] ) { this.boundingBox.y[ 1 ] = vertex.position.y; } if ( vertex.position.z < this.boundingBox.z[ 0 ] ) { this.boundingBox.z[ 0 ] = vertex.position.z; } else if ( vertex.position.z > this.boundingBox.z[ 1 ] ) { this.boundingBox.z[ 1 ] = vertex.position.z; } } } }, computeBoundingSphere: function () { var radius = this.boundingSphere === null ? 0 : this.boundingSphere.radius; for ( var v = 0, vl = this.vertices.length; v < vl; v ++ ) { radius = Math.max( radius, this.vertices[ v ].position.length() ); } this.boundingSphere = { radius: radius }; }, sortFacesByMaterial: function () { // TODO // Should optimize by grouping faces with ColorFill / ColorStroke materials // which could then use vertex color attributes instead of each being // in its separate VBO var i, l, f, fl, face, material, materials, vertices, mhash, ghash, hash_map = {}; function materialHash( material ) { var hash_array = []; for ( i = 0, l = material.length; i < l; i++ ) { if ( material[ i ] == undefined ) { hash_array.push( "undefined" ); } else { hash_array.push( material[ i ].toString() ); } } return hash_array.join( '_' ); } for ( f = 0, fl = this.faces.length; f < fl; f++ ) { face = this.faces[ f ]; materials = face.materials; mhash = materialHash( materials ); if ( hash_map[ mhash ] == undefined ) { hash_map[ mhash ] = { 'hash': mhash, 'counter': 0 }; } ghash = hash_map[ mhash ].hash + '_' + hash_map[ mhash ].counter; if ( this.geometryChunks[ ghash ] == undefined ) { this.geometryChunks[ ghash ] = { 'faces': [], 'materials': materials, 'vertices': 0 }; } vertices = face instanceof THREE.Face3 ? 3 : 4; if ( this.geometryChunks[ ghash ].vertices + vertices > 65535 ) { hash_map[ mhash ].counter += 1; ghash = hash_map[ mhash ].hash + '_' + hash_map[ mhash ].counter; if ( this.geometryChunks[ ghash ] == undefined ) { this.geometryChunks[ ghash ] = { 'faces': [], 'materials': materials, 'vertices': 0 }; } } this.geometryChunks[ ghash ].faces.push( f ); this.geometryChunks[ ghash ].vertices += vertices; } }, toString: function () { return 'THREE.Geometry ( vertices: ' + this.vertices + ', faces: ' + this.faces + ', uvs: ' + this.uvs + ' )'; } };