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three.js/src/core/Geometry.js
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/**
* @author mr.doob / http://mrdoob.com/
* @author kile / http://kile.stravaganza.org/
* @author alteredq / http://alteredqualia.com/
* @author mikael emtinger / http://gomo.se/
*/
THREE.Geometry = function () {
this.id = "Geometry" + THREE.GeometryIdCounter ++;
this.vertices = [];
this.colors = []; // one-to-one vertex colors, used in ParticleSystem, Line and Ribbon
this.faces = [];
this.faceUvs = [[]];
this.faceVertexUvs = [[]];
this.morphTargets = [];
this.skinWeights = [];
this.skinIndices = [];
this.boundingBox = null;
this.boundingSphere = null;
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.vertexNormals.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.faceVertexUvs[ f ][ 0 ]; // use UV layer 0 for tangents
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 };
}
};
THREE.GeometryIdCounter = 0;