"use strict"; var THREE={}; /** * @author mikael emtinger / http://gomo.se/ * @author alteredq / http://alteredqualia.com/ * @author WestLangley / http://github.com/WestLangley * @author bhouston / http://clara.io */ THREE.Quaternion = function ( x, y, z, w ) { this._x = x || 0; this._y = y || 0; this._z = z || 0; this._w = ( w !== undefined ) ? w : 1; }; THREE.Quaternion.prototype = { constructor: THREE.Quaternion, get x () { return this._x; }, set x ( value ) { this._x = value; this.onChangeCallback(); }, get y () { return this._y; }, set y ( value ) { this._y = value; this.onChangeCallback(); }, get z () { return this._z; }, set z ( value ) { this._z = value; this.onChangeCallback(); }, get w () { return this._w; }, set w ( value ) { this._w = value; this.onChangeCallback(); }, set: function ( x, y, z, w ) { this._x = x; this._y = y; this._z = z; this._w = w; this.onChangeCallback(); return this; }, clone: function () { return new this.constructor( this._x, this._y, this._z, this._w ); }, copy: function ( quaternion ) { this._x = quaternion.x; this._y = quaternion.y; this._z = quaternion.z; this._w = quaternion.w; this.onChangeCallback(); return this; }, setFromEuler: function ( euler, update ) { if ( euler instanceof THREE.Euler === false ) { throw new Error( 'THREE.Quaternion: .setFromEuler() now expects a Euler rotation rather than a Vector3 and order.' ); } // http://www.mathworks.com/matlabcentral/fileexchange/ // 20696-function-to-convert-between-dcm-euler-angles-quaternions-and-euler-vectors/ // content/SpinCalc.m var c1 = Math.cos( euler._x / 2 ); var c2 = Math.cos( euler._y / 2 ); var c3 = Math.cos( euler._z / 2 ); var s1 = Math.sin( euler._x / 2 ); var s2 = Math.sin( euler._y / 2 ); var s3 = Math.sin( euler._z / 2 ); var order = euler.order; if ( order === 'XYZ' ) { this._x = s1 * c2 * c3 + c1 * s2 * s3; this._y = c1 * s2 * c3 - s1 * c2 * s3; this._z = c1 * c2 * s3 + s1 * s2 * c3; this._w = c1 * c2 * c3 - s1 * s2 * s3; } else if ( order === 'YXZ' ) { this._x = s1 * c2 * c3 + c1 * s2 * s3; this._y = c1 * s2 * c3 - s1 * c2 * s3; this._z = c1 * c2 * s3 - s1 * s2 * c3; this._w = c1 * c2 * c3 + s1 * s2 * s3; } else if ( order === 'ZXY' ) { this._x = s1 * c2 * c3 - c1 * s2 * s3; this._y = c1 * s2 * c3 + s1 * c2 * s3; this._z = c1 * c2 * s3 + s1 * s2 * c3; this._w = c1 * c2 * c3 - s1 * s2 * s3; } else if ( order === 'ZYX' ) { this._x = s1 * c2 * c3 - c1 * s2 * s3; this._y = c1 * s2 * c3 + s1 * c2 * s3; this._z = c1 * c2 * s3 - s1 * s2 * c3; this._w = c1 * c2 * c3 + s1 * s2 * s3; } else if ( order === 'YZX' ) { this._x = s1 * c2 * c3 + c1 * s2 * s3; this._y = c1 * s2 * c3 + s1 * c2 * s3; this._z = c1 * c2 * s3 - s1 * s2 * c3; this._w = c1 * c2 * c3 - s1 * s2 * s3; } else if ( order === 'XZY' ) { this._x = s1 * c2 * c3 - c1 * s2 * s3; this._y = c1 * s2 * c3 - s1 * c2 * s3; this._z = c1 * c2 * s3 + s1 * s2 * c3; this._w = c1 * c2 * c3 + s1 * s2 * s3; } if ( update !== false ) this.onChangeCallback(); return this; }, setFromAxisAngle: function ( axis, angle ) { // http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToQuaternion/index.htm // assumes axis is normalized var halfAngle = angle / 2, s = Math.sin( halfAngle ); this._x = axis.x * s; this._y = axis.y * s; this._z = axis.z * s; this._w = Math.cos( halfAngle ); this.onChangeCallback(); return this; }, setFromRotationMatrix: function ( m ) { // http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm // assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled) var te = m.elements, m11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ], m21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ], m31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ], trace = m11 + m22 + m33, s; if ( trace > 0 ) { s = 0.5 / Math.sqrt( trace + 1.0 ); this._w = 0.25 / s; this._x = ( m32 - m23 ) * s; this._y = ( m13 - m31 ) * s; this._z = ( m21 - m12 ) * s; } else if ( m11 > m22 && m11 > m33 ) { s = 2.0 * Math.sqrt( 1.0 + m11 - m22 - m33 ); this._w = ( m32 - m23 ) / s; this._x = 0.25 * s; this._y = ( m12 + m21 ) / s; this._z = ( m13 + m31 ) / s; } else if ( m22 > m33 ) { s = 2.0 * Math.sqrt( 1.0 + m22 - m11 - m33 ); this._w = ( m13 - m31 ) / s; this._x = ( m12 + m21 ) / s; this._y = 0.25 * s; this._z = ( m23 + m32 ) / s; } else { s = 2.0 * Math.sqrt( 1.0 + m33 - m11 - m22 ); this._w = ( m21 - m12 ) / s; this._x = ( m13 + m31 ) / s; this._y = ( m23 + m32 ) / s; this._z = 0.25 * s; } this.onChangeCallback(); return this; }, setFromUnitVectors: function () { // http://lolengine.net/blog/2014/02/24/quaternion-from-two-vectors-final // assumes direction vectors vFrom and vTo are normalized var v1, r; var EPS = 0.000001; return function ( vFrom, vTo ) { if ( v1 === undefined ) v1 = new THREE.Vector3(); r = vFrom.dot( vTo ) + 1; if ( r < EPS ) { r = 0; if ( Math.abs( vFrom.x ) > Math.abs( vFrom.z ) ) { v1.set( - vFrom.y, vFrom.x, 0 ); } else { v1.set( 0, - vFrom.z, vFrom.y ); } } else { v1.crossVectors( vFrom, vTo ); } this._x = v1.x; this._y = v1.y; this._z = v1.z; this._w = r; this.normalize(); return this; } }(), inverse: function () { this.conjugate().normalize(); return this; }, conjugate: function () { this._x *= - 1; this._y *= - 1; this._z *= - 1; this.onChangeCallback(); return this; }, dot: function ( v ) { return this._x * v._x + this._y * v._y + this._z * v._z + this._w * v._w; }, lengthSq: function () { return this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w; }, length: function () { return Math.sqrt( this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w ); }, normalize: function () { var l = this.length(); if ( l === 0 ) { this._x = 0; this._y = 0; this._z = 0; this._w = 1; } else { l = 1 / l; this._x = this._x * l; this._y = this._y * l; this._z = this._z * l; this._w = this._w * l; } this.onChangeCallback(); return this; }, multiply: function ( q, p ) { if ( p !== undefined ) { console.warn( 'THREE.Quaternion: .multiply() now only accepts one argument. Use .multiplyQuaternions( a, b ) instead.' ); return this.multiplyQuaternions( q, p ); } return this.multiplyQuaternions( this, q ); }, multiplyQuaternions: function ( a, b ) { // from http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/code/index.htm var qax = a._x, qay = a._y, qaz = a._z, qaw = a._w; var qbx = b._x, qby = b._y, qbz = b._z, qbw = b._w; this._x = qax * qbw + qaw * qbx + qay * qbz - qaz * qby; this._y = qay * qbw + qaw * qby + qaz * qbx - qax * qbz; this._z = qaz * qbw + qaw * qbz + qax * qby - qay * qbx; this._w = qaw * qbw - qax * qbx - qay * qby - qaz * qbz; this.onChangeCallback(); return this; }, multiplyVector3: function ( vector ) { console.warn( 'THREE.Quaternion: .multiplyVector3() has been removed. Use is now vector.applyQuaternion( quaternion ) instead.' ); return vector.applyQuaternion( this ); }, slerp: function ( qb, t ) { if ( t === 0 ) return this; if ( t === 1 ) return this.copy( qb ); var x = this._x, y = this._y, z = this._z, w = this._w; // http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/slerp/ var cosHalfTheta = w * qb._w + x * qb._x + y * qb._y + z * qb._z; if ( cosHalfTheta < 0 ) { this._w = - qb._w; this._x = - qb._x; this._y = - qb._y; this._z = - qb._z; cosHalfTheta = - cosHalfTheta; } else { this.copy( qb ); } if ( cosHalfTheta >= 1.0 ) { this._w = w; this._x = x; this._y = y; this._z = z; return this; } var halfTheta = Math.acos( cosHalfTheta ); var sinHalfTheta = Math.sqrt( 1.0 - cosHalfTheta * cosHalfTheta ); if ( Math.abs( sinHalfTheta ) < 0.001 ) { this._w = 0.5 * ( w + this._w ); this._x = 0.5 * ( x + this._x ); this._y = 0.5 * ( y + this._y ); this._z = 0.5 * ( z + this._z ); return this; } var ratioA = Math.sin( ( 1 - t ) * halfTheta ) / sinHalfTheta, ratioB = Math.sin( t * halfTheta ) / sinHalfTheta; this._w = ( w * ratioA + this._w * ratioB ); this._x = ( x * ratioA + this._x * ratioB ); this._y = ( y * ratioA + this._y * ratioB ); this._z = ( z * ratioA + this._z * ratioB ); this.onChangeCallback(); return this; }, equals: function ( quaternion ) { return ( quaternion._x === this._x ) && ( quaternion._y === this._y ) && ( quaternion._z === this._z ) && ( quaternion._w === this._w ); }, fromArray: function ( array, offset ) { if ( offset === undefined ) offset = 0; this._x = array[ offset ]; this._y = array[ offset + 1 ]; this._z = array[ offset + 2 ]; this._w = array[ offset + 3 ]; this.onChangeCallback(); return this; }, toArray: function ( array, offset ) { if ( array === undefined ) array = []; if ( offset === undefined ) offset = 0; array[ offset ] = this._x; array[ offset + 1 ] = this._y; array[ offset + 2 ] = this._z; array[ offset + 3 ] = this._w; return array; }, onChange: function ( callback ) { this.onChangeCallback = callback; return this; }, onChangeCallback: function () {} }; THREE.Quaternion.slerp = function ( qa, qb, qm, t ) { return qm.copy( qa ).slerp( qb, t ); }; /** * @author mrdoob / http://mrdoob.com/ * @author philogb / http://blog.thejit.org/ * @author egraether / http://egraether.com/ * @author zz85 / http://www.lab4games.net/zz85/blog */ THREE.Vector2 = function ( x, y ) { this.x = x || 0; this.y = y || 0; }; THREE.Vector2.prototype = { constructor: THREE.Vector2, get width() { return this.x }, set width( value ) { this.x = value }, get height() { return this.y }, set height( value ) { this.y = value }, // set: function ( x, y ) { this.x = x; this.y = y; return this; }, setX: function ( x ) { this.x = x; return this; }, setY: function ( y ) { this.y = y; return this; }, setComponent: function ( index, value ) { switch ( index ) { case 0: this.x = value; break; case 1: this.y = value; break; default: throw new Error( 'index is out of range: ' + index ); } }, getComponent: function ( index ) { switch ( index ) { case 0: return this.x; case 1: return this.y; default: throw new Error( 'index is out of range: ' + index ); } }, clone: function () { return new this.constructor( this.x, this.y ); }, copy: function ( v ) { this.x = v.x; this.y = v.y; return this; }, add: function ( v, w ) { if ( w !== undefined ) { console.warn( 'THREE.Vector2: .add() now only accepts one argument. Use .addVectors( a, b ) instead.' ); return this.addVectors( v, w ); } this.x += v.x; this.y += v.y; return this; }, addScalar: function ( s ) { this.x += s; this.y += s; return this; }, addVectors: function ( a, b ) { this.x = a.x + b.x; this.y = a.y + b.y; return this; }, addScaledVector: function ( v, s ) { this.x += v.x * s; this.y += v.y * s; return this; }, sub: function ( v, w ) { if ( w !== undefined ) { console.warn( 'THREE.Vector2: .sub() now only accepts one argument. Use .subVectors( a, b ) instead.' ); return this.subVectors( v, w ); } this.x -= v.x; this.y -= v.y; return this; }, subScalar: function ( s ) { this.x -= s; this.y -= s; return this; }, subVectors: function ( a, b ) { this.x = a.x - b.x; this.y = a.y - b.y; return this; }, multiply: function ( v ) { this.x *= v.x; this.y *= v.y; return this; }, multiplyScalar: function ( scalar ) { if ( isFinite( scalar ) ) { this.x *= scalar; this.y *= scalar; } else { this.x = 0; this.y = 0; } return this; }, divide: function ( v ) { this.x /= v.x; this.y /= v.y; return this; }, divideScalar: function ( scalar ) { return this.multiplyScalar( 1 / scalar ); }, min: function ( v ) { this.x = Math.min( this.x, v.x ); this.y = Math.min( this.y, v.y ); return this; }, max: function ( v ) { this.x = Math.max( this.x, v.x ); this.y = Math.max( this.y, v.y ); return this; }, clamp: function ( min, max ) { // This function assumes min < max, if this assumption isn't true it will not operate correctly this.x = Math.max( min.x, Math.min( max.x, this.x ) ); this.y = Math.max( min.y, Math.min( max.y, this.y ) ); return this; }, clampScalar: function () { var min, max; return function clampScalar( minVal, maxVal ) { if ( min === undefined ) { min = new THREE.Vector2(); max = new THREE.Vector2(); } min.set( minVal, minVal ); max.set( maxVal, maxVal ); return this.clamp( min, max ); }; }(), clampLength: function ( min, max ) { var length = this.length(); this.multiplyScalar( Math.max( min, Math.min( max, length ) ) / length ); return this; }, floor: function () { this.x = Math.floor( this.x ); this.y = Math.floor( this.y ); return this; }, ceil: function () { this.x = Math.ceil( this.x ); this.y = Math.ceil( this.y ); return this; }, round: function () { this.x = Math.round( this.x ); this.y = Math.round( this.y ); return this; }, roundToZero: function () { this.x = ( this.x < 0 ) ? Math.ceil( this.x ) : Math.floor( this.x ); this.y = ( this.y < 0 ) ? Math.ceil( this.y ) : Math.floor( this.y ); return this; }, negate: function () { this.x = - this.x; this.y = - this.y; return this; }, dot: function ( v ) { return this.x * v.x + this.y * v.y; }, lengthSq: function () { return this.x * this.x + this.y * this.y; }, length: function () { return Math.sqrt( this.x * this.x + this.y * this.y ); }, lengthManhattan: function() { return Math.abs( this.x ) + Math.abs( this.y ); }, normalize: function () { return this.divideScalar( this.length() ); }, distanceTo: function ( v ) { return Math.sqrt( this.distanceToSquared( v ) ); }, distanceToSquared: function ( v ) { var dx = this.x - v.x, dy = this.y - v.y; return dx * dx + dy * dy; }, setLength: function ( length ) { return this.multiplyScalar( length / this.length() ); }, lerp: function ( v, alpha ) { this.x += ( v.x - this.x ) * alpha; this.y += ( v.y - this.y ) * alpha; return this; }, lerpVectors: function ( v1, v2, alpha ) { this.subVectors( v2, v1 ).multiplyScalar( alpha ).add( v1 ); return this; }, equals: function ( v ) { return ( ( v.x === this.x ) && ( v.y === this.y ) ); }, fromArray: function ( array, offset ) { if ( offset === undefined ) offset = 0; this.x = array[ offset ]; this.y = array[ offset + 1 ]; return this; }, toArray: function ( array, offset ) { if ( array === undefined ) array = []; if ( offset === undefined ) offset = 0; array[ offset ] = this.x; array[ offset + 1 ] = this.y; return array; }, fromAttribute: function ( attribute, index, offset ) { if ( offset === undefined ) offset = 0; index = index * attribute.itemSize + offset; this.x = attribute.array[ index ]; this.y = attribute.array[ index + 1 ]; return this; }, rotateAround: function ( center, angle ) { var c = Math.cos( angle ), s = Math.sin( angle ); var x = this.x - center.x; var y = this.y - center.y; this.x = x * c - y * s + center.x; this.y = x * s + y * c + center.y; return this; } }; /** * @author mrdoob / http://mrdoob.com/ * @author *kile / http://kile.stravaganza.org/ * @author philogb / http://blog.thejit.org/ * @author mikael emtinger / http://gomo.se/ * @author egraether / http://egraether.com/ * @author WestLangley / http://github.com/WestLangley */ THREE.Vector3 = function ( x, y, z ) { this.x = x || 0; this.y = y || 0; this.z = z || 0; }; THREE.Vector3.prototype = { constructor: THREE.Vector3, set: function ( x, y, z ) { this.x = x; this.y = y; this.z = z; return this; }, setX: function ( x ) { this.x = x; return this; }, setY: function ( y ) { this.y = y; return this; }, setZ: function ( z ) { this.z = z; return this; }, setComponent: function ( index, value ) { switch ( index ) { case 0: this.x = value; break; case 1: this.y = value; break; case 2: this.z = value; break; default: throw new Error( 'index is out of range: ' + index ); } }, getComponent: function ( index ) { switch ( index ) { case 0: return this.x; case 1: return this.y; case 2: return this.z; default: throw new Error( 'index is out of range: ' + index ); } }, clone: function () { return new this.constructor( this.x, this.y, this.z ); }, copy: function ( v ) { this.x = v.x; this.y = v.y; this.z = v.z; return this; }, add: function ( v, w ) { if ( w !== undefined ) { console.warn( 'THREE.Vector3: .add() now only accepts one argument. Use .addVectors( a, b ) instead.' ); return this.addVectors( v, w ); } this.x += v.x; this.y += v.y; this.z += v.z; return this; }, addScalar: function ( s ) { this.x += s; this.y += s; this.z += s; return this; }, addVectors: function ( a, b ) { this.x = a.x + b.x; this.y = a.y + b.y; this.z = a.z + b.z; return this; }, addScaledVector: function ( v, s ) { this.x += v.x * s; this.y += v.y * s; this.z += v.z * s; return this; }, sub: function ( v, w ) { if ( w !== undefined ) { console.warn( 'THREE.Vector3: .sub() now only accepts one argument. Use .subVectors( a, b ) instead.' ); return this.subVectors( v, w ); } this.x -= v.x; this.y -= v.y; this.z -= v.z; return this; }, subScalar: function ( s ) { this.x -= s; this.y -= s; this.z -= s; return this; }, subVectors: function ( a, b ) { this.x = a.x - b.x; this.y = a.y - b.y; this.z = a.z - b.z; return this; }, multiply: function ( v, w ) { if ( w !== undefined ) { console.warn( 'THREE.Vector3: .multiply() now only accepts one argument. Use .multiplyVectors( a, b ) instead.' ); return this.multiplyVectors( v, w ); } this.x *= v.x; this.y *= v.y; this.z *= v.z; return this; }, multiplyScalar: function ( scalar ) { if ( isFinite( scalar ) ) { this.x *= scalar; this.y *= scalar; this.z *= scalar; } else { this.x = 0; this.y = 0; this.z = 0; } return this; }, multiplyVectors: function ( a, b ) { this.x = a.x * b.x; this.y = a.y * b.y; this.z = a.z * b.z; return this; }, applyEuler: function () { var quaternion; return function applyEuler( euler ) { if ( euler instanceof THREE.Euler === false ) { console.error( 'THREE.Vector3: .applyEuler() now expects a Euler rotation rather than a Vector3 and order.' ); } if ( quaternion === undefined ) quaternion = new THREE.Quaternion(); this.applyQuaternion( quaternion.setFromEuler( euler ) ); return this; }; }(), applyAxisAngle: function () { var quaternion; return function applyAxisAngle( axis, angle ) { if ( quaternion === undefined ) quaternion = new THREE.Quaternion(); this.applyQuaternion( quaternion.setFromAxisAngle( axis, angle ) ); return this; }; }(), applyMatrix3: function ( m ) { var x = this.x; var y = this.y; var z = this.z; var e = m.elements; this.x = e[ 0 ] * x + e[ 3 ] * y + e[ 6 ] * z; this.y = e[ 1 ] * x + e[ 4 ] * y + e[ 7 ] * z; this.z = e[ 2 ] * x + e[ 5 ] * y + e[ 8 ] * z; return this; }, applyMatrix4: function ( m ) { // input: THREE.Matrix4 affine matrix var x = this.x, y = this.y, z = this.z; var e = m.elements; this.x = e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z + e[ 12 ]; this.y = e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z + e[ 13 ]; this.z = e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z + e[ 14 ]; return this; }, applyProjection: function ( m ) { // input: THREE.Matrix4 projection matrix var x = this.x, y = this.y, z = this.z; var e = m.elements; var d = 1 / ( e[ 3 ] * x + e[ 7 ] * y + e[ 11 ] * z + e[ 15 ] ); // perspective divide this.x = ( e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z + e[ 12 ] ) * d; this.y = ( e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z + e[ 13 ] ) * d; this.z = ( e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z + e[ 14 ] ) * d; return this; }, applyQuaternion: function ( q ) { var x = this.x; var y = this.y; var z = this.z; var qx = q.x; var qy = q.y; var qz = q.z; var qw = q.w; // calculate quat * vector var ix = qw * x + qy * z - qz * y; var iy = qw * y + qz * x - qx * z; var iz = qw * z + qx * y - qy * x; var iw = - qx * x - qy * y - qz * z; // calculate result * inverse quat this.x = ix * qw + iw * - qx + iy * - qz - iz * - qy; this.y = iy * qw + iw * - qy + iz * - qx - ix * - qz; this.z = iz * qw + iw * - qz + ix * - qy - iy * - qx; return this; }, project: function () { var matrix; return function project( camera ) { if ( matrix === undefined ) matrix = new THREE.Matrix4(); matrix.multiplyMatrices( camera.projectionMatrix, matrix.getInverse( camera.matrixWorld ) ); return this.applyProjection( matrix ); }; }(), unproject: function () { var matrix; return function unproject( camera ) { if ( matrix === undefined ) matrix = new THREE.Matrix4(); matrix.multiplyMatrices( camera.matrixWorld, matrix.getInverse( camera.projectionMatrix ) ); return this.applyProjection( matrix ); }; }(), transformDirection: function ( m ) { // input: THREE.Matrix4 affine matrix // vector interpreted as a direction var x = this.x, y = this.y, z = this.z; var e = m.elements; this.x = e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z; this.y = e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z; this.z = e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z; this.normalize(); return this; }, divide: function ( v ) { this.x /= v.x; this.y /= v.y; this.z /= v.z; return this; }, divideScalar: function ( scalar ) { return this.multiplyScalar( 1 / scalar ); }, min: function ( v ) { this.x = Math.min( this.x, v.x ); this.y = Math.min( this.y, v.y ); this.z = Math.min( this.z, v.z ); return this; }, max: function ( v ) { this.x = Math.max( this.x, v.x ); this.y = Math.max( this.y, v.y ); this.z = Math.max( this.z, v.z ); return this; }, clamp: function ( min, max ) { // This function assumes min < max, if this assumption isn't true it will not operate correctly this.x = Math.max( min.x, Math.min( max.x, this.x ) ); this.y = Math.max( min.y, Math.min( max.y, this.y ) ); this.z = Math.max( min.z, Math.min( max.z, this.z ) ); return this; }, clampScalar: function () { var min, max; return function clampScalar( minVal, maxVal ) { if ( min === undefined ) { min = new THREE.Vector3(); max = new THREE.Vector3(); } min.set( minVal, minVal, minVal ); max.set( maxVal, maxVal, maxVal ); return this.clamp( min, max ); }; }(), clampLength: function ( min, max ) { var length = this.length(); this.multiplyScalar( Math.max( min, Math.min( max, length ) ) / length ); return this; }, floor: function () { this.x = Math.floor( this.x ); this.y = Math.floor( this.y ); this.z = Math.floor( this.z ); return this; }, ceil: function () { this.x = Math.ceil( this.x ); this.y = Math.ceil( this.y ); this.z = Math.ceil( this.z ); return this; }, round: function () { this.x = Math.round( this.x ); this.y = Math.round( this.y ); this.z = Math.round( this.z ); return this; }, roundToZero: function () { this.x = ( this.x < 0 ) ? Math.ceil( this.x ) : Math.floor( this.x ); this.y = ( this.y < 0 ) ? Math.ceil( this.y ) : Math.floor( this.y ); this.z = ( this.z < 0 ) ? Math.ceil( this.z ) : Math.floor( this.z ); return this; }, negate: function () { this.x = - this.x; this.y = - this.y; this.z = - this.z; return this; }, dot: function ( v ) { return this.x * v.x + this.y * v.y + this.z * v.z; }, lengthSq: function () { return this.x * this.x + this.y * this.y + this.z * this.z; }, length: function () { return Math.sqrt( this.x * this.x + this.y * this.y + this.z * this.z ); }, lengthManhattan: function () { return Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z ); }, normalize: function () { return this.divideScalar( this.length() ); }, setLength: function ( length ) { return this.multiplyScalar( length / this.length() ); }, lerp: function ( v, alpha ) { this.x += ( v.x - this.x ) * alpha; this.y += ( v.y - this.y ) * alpha; this.z += ( v.z - this.z ) * alpha; return this; }, lerpVectors: function ( v1, v2, alpha ) { this.subVectors( v2, v1 ).multiplyScalar( alpha ).add( v1 ); return this; }, cross: function ( v, w ) { if ( w !== undefined ) { console.warn( 'THREE.Vector3: .cross() now only accepts one argument. Use .crossVectors( a, b ) instead.' ); return this.crossVectors( v, w ); } var x = this.x, y = this.y, z = this.z; this.x = y * v.z - z * v.y; this.y = z * v.x - x * v.z; this.z = x * v.y - y * v.x; return this; }, crossVectors: function ( a, b ) { var ax = a.x, ay = a.y, az = a.z; var bx = b.x, by = b.y, bz = b.z; this.x = ay * bz - az * by; this.y = az * bx - ax * bz; this.z = ax * by - ay * bx; return this; }, projectOnVector: function () { var v1, dot; return function projectOnVector( vector ) { if ( v1 === undefined ) v1 = new THREE.Vector3(); v1.copy( vector ).normalize(); dot = this.dot( v1 ); return this.copy( v1 ).multiplyScalar( dot ); }; }(), projectOnPlane: function () { var v1; return function projectOnPlane( planeNormal ) { if ( v1 === undefined ) v1 = new THREE.Vector3(); v1.copy( this ).projectOnVector( planeNormal ); return this.sub( v1 ); } }(), reflect: function () { // reflect incident vector off plane orthogonal to normal // normal is assumed to have unit length var v1; return function reflect( normal ) { if ( v1 === undefined ) v1 = new THREE.Vector3(); return this.sub( v1.copy( normal ).multiplyScalar( 2 * this.dot( normal ) ) ); } }(), angleTo: function ( v ) { var theta = this.dot( v ) / ( this.length() * v.length() ); // clamp, to handle numerical problems return Math.acos( THREE.Math.clamp( theta, - 1, 1 ) ); }, distanceTo: function ( v ) { return Math.sqrt( this.distanceToSquared( v ) ); }, distanceToSquared: function ( v ) { var dx = this.x - v.x; var dy = this.y - v.y; var dz = this.z - v.z; return dx * dx + dy * dy + dz * dz; }, setEulerFromRotationMatrix: function ( m, order ) { console.error( 'THREE.Vector3: .setEulerFromRotationMatrix() has been removed. Use Euler.setFromRotationMatrix() instead.' ); }, setEulerFromQuaternion: function ( q, order ) { console.error( 'THREE.Vector3: .setEulerFromQuaternion() has been removed. Use Euler.setFromQuaternion() instead.' ); }, getPositionFromMatrix: function ( m ) { console.warn( 'THREE.Vector3: .getPositionFromMatrix() has been renamed to .setFromMatrixPosition().' ); return this.setFromMatrixPosition( m ); }, getScaleFromMatrix: function ( m ) { console.warn( 'THREE.Vector3: .getScaleFromMatrix() has been renamed to .setFromMatrixScale().' ); return this.setFromMatrixScale( m ); }, getColumnFromMatrix: function ( index, matrix ) { console.warn( 'THREE.Vector3: .getColumnFromMatrix() has been renamed to .setFromMatrixColumn().' ); return this.setFromMatrixColumn( index, matrix ); }, setFromMatrixPosition: function ( m ) { this.x = m.elements[ 12 ]; this.y = m.elements[ 13 ]; this.z = m.elements[ 14 ]; return this; }, setFromMatrixScale: function ( m ) { var sx = this.set( m.elements[ 0 ], m.elements[ 1 ], m.elements[ 2 ] ).length(); var sy = this.set( m.elements[ 4 ], m.elements[ 5 ], m.elements[ 6 ] ).length(); var sz = this.set( m.elements[ 8 ], m.elements[ 9 ], m.elements[ 10 ] ).length(); this.x = sx; this.y = sy; this.z = sz; return this; }, setFromMatrixColumn: function ( index, matrix ) { var offset = index * 4; var me = matrix.elements; this.x = me[ offset ]; this.y = me[ offset + 1 ]; this.z = me[ offset + 2 ]; return this; }, equals: function ( v ) { return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) ); }, fromArray: function ( array, offset ) { if ( offset === undefined ) offset = 0; this.x = array[ offset ]; this.y = array[ offset + 1 ]; this.z = array[ offset + 2 ]; return this; }, toArray: function ( array, offset ) { if ( array === undefined ) array = []; if ( offset === undefined ) offset = 0; array[ offset ] = this.x; array[ offset + 1 ] = this.y; array[ offset + 2 ] = this.z; return array; }, fromAttribute: function ( attribute, index, offset ) { if ( offset === undefined ) offset = 0; index = index * attribute.itemSize + offset; this.x = attribute.array[ index ]; this.y = attribute.array[ index + 1 ]; this.z = attribute.array[ index + 2 ]; return this; } }; /** * @author supereggbert / http://www.paulbrunt.co.uk/ * @author philogb / http://blog.thejit.org/ * @author mikael emtinger / http://gomo.se/ * @author egraether / http://egraether.com/ * @author WestLangley / http://github.com/WestLangley */ THREE.Vector4 = function ( x, y, z, w ) { this.x = x || 0; this.y = y || 0; this.z = z || 0; this.w = ( w !== undefined ) ? w : 1; }; THREE.Vector4.prototype = { constructor: THREE.Vector4, set: function ( x, y, z, w ) { this.x = x; this.y = y; this.z = z; this.w = w; return this; }, setX: function ( x ) { this.x = x; return this; }, setY: function ( y ) { this.y = y; return this; }, setZ: function ( z ) { this.z = z; return this; }, setW: function ( w ) { this.w = w; return this; }, setComponent: function ( index, value ) { switch ( index ) { case 0: this.x = value; break; case 1: this.y = value; break; case 2: this.z = value; break; case 3: this.w = value; break; default: throw new Error( 'index is out of range: ' + index ); } }, getComponent: function ( index ) { switch ( index ) { case 0: return this.x; case 1: return this.y; case 2: return this.z; case 3: return this.w; default: throw new Error( 'index is out of range: ' + index ); } }, clone: function () { return new this.constructor( this.x, this.y, this.z, this.w ); }, copy: function ( v ) { this.x = v.x; this.y = v.y; this.z = v.z; this.w = ( v.w !== undefined ) ? v.w : 1; return this; }, add: function ( v, w ) { if ( w !== undefined ) { console.warn( 'THREE.Vector4: .add() now only accepts one argument. Use .addVectors( a, b ) instead.' ); return this.addVectors( v, w ); } this.x += v.x; this.y += v.y; this.z += v.z; this.w += v.w; return this; }, addScalar: function ( s ) { this.x += s; this.y += s; this.z += s; this.w += s; return this; }, addVectors: function ( a, b ) { this.x = a.x + b.x; this.y = a.y + b.y; this.z = a.z + b.z; this.w = a.w + b.w; return this; }, addScaledVector: function ( v, s ) { this.x += v.x * s; this.y += v.y * s; this.z += v.z * s; this.w += v.w * s; return this; }, sub: function ( v, w ) { if ( w !== undefined ) { console.warn( 'THREE.Vector4: .sub() now only accepts one argument. Use .subVectors( a, b ) instead.' ); return this.subVectors( v, w ); } this.x -= v.x; this.y -= v.y; this.z -= v.z; this.w -= v.w; return this; }, subScalar: function ( s ) { this.x -= s; this.y -= s; this.z -= s; this.w -= s; return this; }, subVectors: function ( a, b ) { this.x = a.x - b.x; this.y = a.y - b.y; this.z = a.z - b.z; this.w = a.w - b.w; return this; }, multiplyScalar: function ( scalar ) { if ( isFinite( scalar ) ) { this.x *= scalar; this.y *= scalar; this.z *= scalar; this.w *= scalar; } else { this.x = 0; this.y = 0; this.z = 0; this.w = 0; } return this; }, applyMatrix4: function ( m ) { var x = this.x; var y = this.y; var z = this.z; var w = this.w; var e = m.elements; this.x = e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z + e[ 12 ] * w; this.y = e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z + e[ 13 ] * w; this.z = e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z + e[ 14 ] * w; this.w = e[ 3 ] * x + e[ 7 ] * y + e[ 11 ] * z + e[ 15 ] * w; return this; }, divideScalar: function ( scalar ) { return this.multiplyScalar( 1 / scalar ); }, setAxisAngleFromQuaternion: function ( q ) { // http://www.euclideanspace.com/maths/geometry/rotations/conversions/quaternionToAngle/index.htm // q is assumed to be normalized this.w = 2 * Math.acos( q.w ); var s = Math.sqrt( 1 - q.w * q.w ); if ( s < 0.0001 ) { this.x = 1; this.y = 0; this.z = 0; } else { this.x = q.x / s; this.y = q.y / s; this.z = q.z / s; } return this; }, setAxisAngleFromRotationMatrix: function ( m ) { // http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToAngle/index.htm // assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled) var angle, x, y, z, // variables for result epsilon = 0.01, // margin to allow for rounding errors epsilon2 = 0.1, // margin to distinguish between 0 and 180 degrees te = m.elements, m11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ], m21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ], m31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ]; if ( ( Math.abs( m12 - m21 ) < epsilon ) && ( Math.abs( m13 - m31 ) < epsilon ) && ( Math.abs( m23 - m32 ) < epsilon ) ) { // singularity found // first check for identity matrix which must have +1 for all terms // in leading diagonal and zero in other terms if ( ( Math.abs( m12 + m21 ) < epsilon2 ) && ( Math.abs( m13 + m31 ) < epsilon2 ) && ( Math.abs( m23 + m32 ) < epsilon2 ) && ( Math.abs( m11 + m22 + m33 - 3 ) < epsilon2 ) ) { // this singularity is identity matrix so angle = 0 this.set( 1, 0, 0, 0 ); return this; // zero angle, arbitrary axis } // otherwise this singularity is angle = 180 angle = Math.PI; var xx = ( m11 + 1 ) / 2; var yy = ( m22 + 1 ) / 2; var zz = ( m33 + 1 ) / 2; var xy = ( m12 + m21 ) / 4; var xz = ( m13 + m31 ) / 4; var yz = ( m23 + m32 ) / 4; if ( ( xx > yy ) && ( xx > zz ) ) { // m11 is the largest diagonal term if ( xx < epsilon ) { x = 0; y = 0.707106781; z = 0.707106781; } else { x = Math.sqrt( xx ); y = xy / x; z = xz / x; } } else if ( yy > zz ) { // m22 is the largest diagonal term if ( yy < epsilon ) { x = 0.707106781; y = 0; z = 0.707106781; } else { y = Math.sqrt( yy ); x = xy / y; z = yz / y; } } else { // m33 is the largest diagonal term so base result on this if ( zz < epsilon ) { x = 0.707106781; y = 0.707106781; z = 0; } else { z = Math.sqrt( zz ); x = xz / z; y = yz / z; } } this.set( x, y, z, angle ); return this; // return 180 deg rotation } // as we have reached here there are no singularities so we can handle normally var s = Math.sqrt( ( m32 - m23 ) * ( m32 - m23 ) + ( m13 - m31 ) * ( m13 - m31 ) + ( m21 - m12 ) * ( m21 - m12 ) ); // used to normalize if ( Math.abs( s ) < 0.001 ) s = 1; // prevent divide by zero, should not happen if matrix is orthogonal and should be // caught by singularity test above, but I've left it in just in case this.x = ( m32 - m23 ) / s; this.y = ( m13 - m31 ) / s; this.z = ( m21 - m12 ) / s; this.w = Math.acos( ( m11 + m22 + m33 - 1 ) / 2 ); return this; }, min: function ( v ) { this.x = Math.min( this.x, v.x ); this.y = Math.min( this.y, v.y ); this.z = Math.min( this.z, v.z ); this.w = Math.min( this.w, v.w ); return this; }, max: function ( v ) { this.x = Math.max( this.x, v.x ); this.y = Math.max( this.y, v.y ); this.z = Math.max( this.z, v.z ); this.w = Math.max( this.w, v.w ); return this; }, clamp: function ( min, max ) { // This function assumes min < max, if this assumption isn't true it will not operate correctly this.x = Math.max( min.x, Math.min( max.x, this.x ) ); this.y = Math.max( min.y, Math.min( max.y, this.y ) ); this.z = Math.max( min.z, Math.min( max.z, this.z ) ); this.w = Math.max( min.w, Math.min( max.w, this.w ) ); return this; }, clampScalar: function () { var min, max; return function clampScalar( minVal, maxVal ) { if ( min === undefined ) { min = new THREE.Vector4(); max = new THREE.Vector4(); } min.set( minVal, minVal, minVal, minVal ); max.set( maxVal, maxVal, maxVal, maxVal ); return this.clamp( min, max ); }; }(), floor: function () { this.x = Math.floor( this.x ); this.y = Math.floor( this.y ); this.z = Math.floor( this.z ); this.w = Math.floor( this.w ); return this; }, ceil: function () { this.x = Math.ceil( this.x ); this.y = Math.ceil( this.y ); this.z = Math.ceil( this.z ); this.w = Math.ceil( this.w ); return this; }, round: function () { this.x = Math.round( this.x ); this.y = Math.round( this.y ); this.z = Math.round( this.z ); this.w = Math.round( this.w ); return this; }, roundToZero: function () { this.x = ( this.x < 0 ) ? Math.ceil( this.x ) : Math.floor( this.x ); this.y = ( this.y < 0 ) ? Math.ceil( this.y ) : Math.floor( this.y ); this.z = ( this.z < 0 ) ? Math.ceil( this.z ) : Math.floor( this.z ); this.w = ( this.w < 0 ) ? Math.ceil( this.w ) : Math.floor( this.w ); return this; }, negate: function () { this.x = - this.x; this.y = - this.y; this.z = - this.z; this.w = - this.w; return this; }, dot: function ( v ) { return this.x * v.x + this.y * v.y + this.z * v.z + this.w * v.w; }, lengthSq: function () { return this.x * this.x + this.y * this.y + this.z * this.z + this.w * this.w; }, length: function () { return Math.sqrt( this.x * this.x + this.y * this.y + this.z * this.z + this.w * this.w ); }, lengthManhattan: function () { return Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z ) + Math.abs( this.w ); }, normalize: function () { return this.divideScalar( this.length() ); }, setLength: function ( length ) { return this.multiplyScalar( length / this.length() ); }, lerp: function ( v, alpha ) { this.x += ( v.x - this.x ) * alpha; this.y += ( v.y - this.y ) * alpha; this.z += ( v.z - this.z ) * alpha; this.w += ( v.w - this.w ) * alpha; return this; }, lerpVectors: function ( v1, v2, alpha ) { this.subVectors( v2, v1 ).multiplyScalar( alpha ).add( v1 ); return this; }, equals: function ( v ) { return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) && ( v.w === this.w ) ); }, fromArray: function ( array, offset ) { if ( offset === undefined ) offset = 0; this.x = array[ offset ]; this.y = array[ offset + 1 ]; this.z = array[ offset + 2 ]; this.w = array[ offset + 3 ]; return this; }, toArray: function ( array, offset ) { if ( array === undefined ) array = []; if ( offset === undefined ) offset = 0; array[ offset ] = this.x; array[ offset + 1 ] = this.y; array[ offset + 2 ] = this.z; array[ offset + 3 ] = this.w; return array; }, fromAttribute: function ( attribute, index, offset ) { if ( offset === undefined ) offset = 0; index = index * attribute.itemSize + offset; this.x = attribute.array[ index ]; this.y = attribute.array[ index + 1 ]; this.z = attribute.array[ index + 2 ]; this.w = attribute.array[ index + 3 ]; return this; } }; /** * @author mrdoob / http://mrdoob.com/ * @author WestLangley / http://github.com/WestLangley * @author bhouston / http://clara.io */ THREE.Euler = function ( x, y, z, order ) { this._x = x || 0; this._y = y || 0; this._z = z || 0; this._order = order || THREE.Euler.DefaultOrder; }; THREE.Euler.RotationOrders = [ 'XYZ', 'YZX', 'ZXY', 'XZY', 'YXZ', 'ZYX' ]; THREE.Euler.DefaultOrder = 'XYZ'; THREE.Euler.prototype = { constructor: THREE.Euler, get x () { return this._x; }, set x ( value ) { this._x = value; this.onChangeCallback(); }, get y () { return this._y; }, set y ( value ) { this._y = value; this.onChangeCallback(); }, get z () { return this._z; }, set z ( value ) { this._z = value; this.onChangeCallback(); }, get order () { return this._order; }, set order ( value ) { this._order = value; this.onChangeCallback(); }, set: function ( x, y, z, order ) { this._x = x; this._y = y; this._z = z; this._order = order || this._order; this.onChangeCallback(); return this; }, clone: function () { return new this.constructor( this._x, this._y, this._z, this._order); }, copy: function ( euler ) { this._x = euler._x; this._y = euler._y; this._z = euler._z; this._order = euler._order; this.onChangeCallback(); return this; }, setFromRotationMatrix: function ( m, order, update ) { var clamp = THREE.Math.clamp; // assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled) var te = m.elements; var m11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ]; var m21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ]; var m31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ]; order = order || this._order; if ( order === 'XYZ' ) { this._y = Math.asin( clamp( m13, - 1, 1 ) ); if ( Math.abs( m13 ) < 0.99999 ) { this._x = Math.atan2( - m23, m33 ); this._z = Math.atan2( - m12, m11 ); } else { this._x = Math.atan2( m32, m22 ); this._z = 0; } } else if ( order === 'YXZ' ) { this._x = Math.asin( - clamp( m23, - 1, 1 ) ); if ( Math.abs( m23 ) < 0.99999 ) { this._y = Math.atan2( m13, m33 ); this._z = Math.atan2( m21, m22 ); } else { this._y = Math.atan2( - m31, m11 ); this._z = 0; } } else if ( order === 'ZXY' ) { this._x = Math.asin( clamp( m32, - 1, 1 ) ); if ( Math.abs( m32 ) < 0.99999 ) { this._y = Math.atan2( - m31, m33 ); this._z = Math.atan2( - m12, m22 ); } else { this._y = 0; this._z = Math.atan2( m21, m11 ); } } else if ( order === 'ZYX' ) { this._y = Math.asin( - clamp( m31, - 1, 1 ) ); if ( Math.abs( m31 ) < 0.99999 ) { this._x = Math.atan2( m32, m33 ); this._z = Math.atan2( m21, m11 ); } else { this._x = 0; this._z = Math.atan2( - m12, m22 ); } } else if ( order === 'YZX' ) { this._z = Math.asin( clamp( m21, - 1, 1 ) ); if ( Math.abs( m21 ) < 0.99999 ) { this._x = Math.atan2( - m23, m22 ); this._y = Math.atan2( - m31, m11 ); } else { this._x = 0; this._y = Math.atan2( m13, m33 ); } } else if ( order === 'XZY' ) { this._z = Math.asin( - clamp( m12, - 1, 1 ) ); if ( Math.abs( m12 ) < 0.99999 ) { this._x = Math.atan2( m32, m22 ); this._y = Math.atan2( m13, m11 ); } else { this._x = Math.atan2( - m23, m33 ); this._y = 0; } } else { console.warn( 'THREE.Euler: .setFromRotationMatrix() given unsupported order: ' + order ) } this._order = order; if ( update !== false ) this.onChangeCallback(); return this; }, setFromQuaternion: function () { var matrix; return function ( q, order, update ) { if ( matrix === undefined ) matrix = new THREE.Matrix4(); matrix.makeRotationFromQuaternion( q ); this.setFromRotationMatrix( matrix, order, update ); return this; }; }(), setFromVector3: function ( v, order ) { return this.set( v.x, v.y, v.z, order || this._order ); }, reorder: function () { // WARNING: this discards revolution information -bhouston var q = new THREE.Quaternion(); return function ( newOrder ) { q.setFromEuler( this ); this.setFromQuaternion( q, newOrder ); }; }(), equals: function ( euler ) { return ( euler._x === this._x ) && ( euler._y === this._y ) && ( euler._z === this._z ) && ( euler._order === this._order ); }, fromArray: function ( array ) { this._x = array[ 0 ]; this._y = array[ 1 ]; this._z = array[ 2 ]; if ( array[ 3 ] !== undefined ) this._order = array[ 3 ]; this.onChangeCallback(); return this; }, toArray: function ( array, offset ) { if ( array === undefined ) array = []; if ( offset === undefined ) offset = 0; array[ offset ] = this._x; array[ offset + 1 ] = this._y; array[ offset + 2 ] = this._z; array[ offset + 3 ] = this._order; return array; }, toVector3: function ( optionalResult ) { if ( optionalResult ) { return optionalResult.set( this._x, this._y, this._z ); } else { return new THREE.Vector3( this._x, this._y, this._z ); } }, onChange: function ( callback ) { this.onChangeCallback = callback; return this; }, onChangeCallback: function () {} }; /** * @author alteredq / http://alteredqualia.com/ * @author WestLangley / http://github.com/WestLangley * @author bhouston / http://clara.io */ THREE.Matrix3 = function () { this.elements = new Float32Array( [ 1, 0, 0, 0, 1, 0, 0, 0, 1 ] ); if ( arguments.length > 0 ) { console.error( 'THREE.Matrix3: the constructor no longer reads arguments. use .set() instead.' ); } }; THREE.Matrix3.prototype = { constructor: THREE.Matrix3, set: function ( n11, n12, n13, n21, n22, n23, n31, n32, n33 ) { var te = this.elements; te[ 0 ] = n11; te[ 3 ] = n12; te[ 6 ] = n13; te[ 1 ] = n21; te[ 4 ] = n22; te[ 7 ] = n23; te[ 2 ] = n31; te[ 5 ] = n32; te[ 8 ] = n33; return this; }, identity: function () { this.set( 1, 0, 0, 0, 1, 0, 0, 0, 1 ); return this; }, clone: function () { return new this.constructor().fromArray( this.elements ); }, copy: function ( m ) { var me = m.elements; this.set( me[ 0 ], me[ 3 ], me[ 6 ], me[ 1 ], me[ 4 ], me[ 7 ], me[ 2 ], me[ 5 ], me[ 8 ] ); return this; }, multiplyVector3: function ( vector ) { console.warn( 'THREE.Matrix3: .multiplyVector3() has been removed. Use vector.applyMatrix3( matrix ) instead.' ); return vector.applyMatrix3( this ); }, multiplyVector3Array: function ( a ) { console.warn( 'THREE.Matrix3: .multiplyVector3Array() has been renamed. Use matrix.applyToVector3Array( array ) instead.' ); return this.applyToVector3Array( a ); }, applyToVector3Array: function () { var v1; return function ( array, offset, length ) { if ( v1 === undefined ) v1 = new THREE.Vector3(); if ( offset === undefined ) offset = 0; if ( length === undefined ) length = array.length; for ( var i = 0, j = offset; i < length; i += 3, j += 3 ) { v1.fromArray( array, j ); v1.applyMatrix3( this ); v1.toArray( array, j ); } return array; }; }(), applyToBuffer: function () { var v1; return function applyToBuffer( buffer, offset, length ) { if ( v1 === undefined ) v1 = new THREE.Vector3(); if ( offset === undefined ) offset = 0; if ( length === undefined ) length = buffer.length / buffer.itemSize; for ( var i = 0, j = offset; i < length; i ++, j ++ ) { v1.x = buffer.getX( j ); v1.y = buffer.getY( j ); v1.z = buffer.getZ( j ); v1.applyMatrix3( this ); buffer.setXYZ( v1.x, v1.y, v1.z ); } return buffer; }; }(), multiplyScalar: function ( s ) { var te = this.elements; te[ 0 ] *= s; te[ 3 ] *= s; te[ 6 ] *= s; te[ 1 ] *= s; te[ 4 ] *= s; te[ 7 ] *= s; te[ 2 ] *= s; te[ 5 ] *= s; te[ 8 ] *= s; return this; }, determinant: function () { var te = this.elements; var a = te[ 0 ], b = te[ 1 ], c = te[ 2 ], d = te[ 3 ], e = te[ 4 ], f = te[ 5 ], g = te[ 6 ], h = te[ 7 ], i = te[ 8 ]; return a * e * i - a * f * h - b * d * i + b * f * g + c * d * h - c * e * g; }, getInverse: function ( matrix, throwOnInvertible ) { // input: THREE.Matrix4 // ( based on http://code.google.com/p/webgl-mjs/ ) var me = matrix.elements; var te = this.elements; te[ 0 ] = me[ 10 ] * me[ 5 ] - me[ 6 ] * me[ 9 ]; te[ 1 ] = - me[ 10 ] * me[ 1 ] + me[ 2 ] * me[ 9 ]; te[ 2 ] = me[ 6 ] * me[ 1 ] - me[ 2 ] * me[ 5 ]; te[ 3 ] = - me[ 10 ] * me[ 4 ] + me[ 6 ] * me[ 8 ]; te[ 4 ] = me[ 10 ] * me[ 0 ] - me[ 2 ] * me[ 8 ]; te[ 5 ] = - me[ 6 ] * me[ 0 ] + me[ 2 ] * me[ 4 ]; te[ 6 ] = me[ 9 ] * me[ 4 ] - me[ 5 ] * me[ 8 ]; te[ 7 ] = - me[ 9 ] * me[ 0 ] + me[ 1 ] * me[ 8 ]; te[ 8 ] = me[ 5 ] * me[ 0 ] - me[ 1 ] * me[ 4 ]; var det = me[ 0 ] * te[ 0 ] + me[ 1 ] * te[ 3 ] + me[ 2 ] * te[ 6 ]; // no inverse if ( det === 0 ) { var msg = "Matrix3.getInverse(): can't invert matrix, determinant is 0"; if ( throwOnInvertible || false ) { throw new Error( msg ); } else { console.warn( msg ); } this.identity(); return this; } this.multiplyScalar( 1.0 / det ); return this; }, transpose: function () { var tmp, m = this.elements; tmp = m[ 1 ]; m[ 1 ] = m[ 3 ]; m[ 3 ] = tmp; tmp = m[ 2 ]; m[ 2 ] = m[ 6 ]; m[ 6 ] = tmp; tmp = m[ 5 ]; m[ 5 ] = m[ 7 ]; m[ 7 ] = tmp; return this; }, flattenToArrayOffset: function ( array, offset ) { var te = this.elements; array[ offset ] = te[ 0 ]; array[ offset + 1 ] = te[ 1 ]; array[ offset + 2 ] = te[ 2 ]; array[ offset + 3 ] = te[ 3 ]; array[ offset + 4 ] = te[ 4 ]; array[ offset + 5 ] = te[ 5 ]; array[ offset + 6 ] = te[ 6 ]; array[ offset + 7 ] = te[ 7 ]; array[ offset + 8 ] = te[ 8 ]; return array; }, getNormalMatrix: function ( m ) { // input: THREE.Matrix4 this.getInverse( m ).transpose(); return this; }, transposeIntoArray: function ( r ) { var m = this.elements; r[ 0 ] = m[ 0 ]; r[ 1 ] = m[ 3 ]; r[ 2 ] = m[ 6 ]; r[ 3 ] = m[ 1 ]; r[ 4 ] = m[ 4 ]; r[ 5 ] = m[ 7 ]; r[ 6 ] = m[ 2 ]; r[ 7 ] = m[ 5 ]; r[ 8 ] = m[ 8 ]; return this; }, fromArray: function ( array ) { this.elements.set( array ); return this; }, toArray: function () { var te = this.elements; return [ te[ 0 ], te[ 1 ], te[ 2 ], te[ 3 ], te[ 4 ], te[ 5 ], te[ 6 ], te[ 7 ], te[ 8 ] ]; } }; /** * @author mrdoob / http://mrdoob.com/ * @author supereggbert / http://www.paulbrunt.co.uk/ * @author philogb / http://blog.thejit.org/ * @author jordi_ros / http://plattsoft.com * @author D1plo1d / http://github.com/D1plo1d * @author alteredq / http://alteredqualia.com/ * @author mikael emtinger / http://gomo.se/ * @author timknip / http://www.floorplanner.com/ * @author bhouston / http://clara.io * @author WestLangley / http://github.com/WestLangley */ THREE.Matrix4 = function () { this.elements = new Float32Array( [ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ] ); if ( arguments.length > 0 ) { console.error( 'THREE.Matrix4: the constructor no longer reads arguments. use .set() instead.' ); } }; THREE.Matrix4.prototype = { constructor: THREE.Matrix4, set: function ( n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 ) { var te = this.elements; te[ 0 ] = n11; te[ 4 ] = n12; te[ 8 ] = n13; te[ 12 ] = n14; te[ 1 ] = n21; te[ 5 ] = n22; te[ 9 ] = n23; te[ 13 ] = n24; te[ 2 ] = n31; te[ 6 ] = n32; te[ 10 ] = n33; te[ 14 ] = n34; te[ 3 ] = n41; te[ 7 ] = n42; te[ 11 ] = n43; te[ 15 ] = n44; return this; }, identity: function () { this.set( 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ); return this; }, clone: function () { return new THREE.Matrix4().fromArray( this.elements ); }, copy: function ( m ) { this.elements.set( m.elements ); return this; }, extractPosition: function ( m ) { console.warn( 'THREE.Matrix4: .extractPosition() has been renamed to .copyPosition().' ); return this.copyPosition( m ); }, copyPosition: function ( m ) { var te = this.elements; var me = m.elements; te[ 12 ] = me[ 12 ]; te[ 13 ] = me[ 13 ]; te[ 14 ] = me[ 14 ]; return this; }, extractBasis: function ( xAxis, yAxis, zAxis ) { var te = this.elements; xAxis.set( te[ 0 ], te[ 1 ], te[ 2 ] ); yAxis.set( te[ 4 ], te[ 5 ], te[ 6 ] ); zAxis.set( te[ 8 ], te[ 9 ], te[ 10 ] ); return this; }, makeBasis: function ( xAxis, yAxis, zAxis ) { this.set( xAxis.x, yAxis.x, zAxis.x, 0, xAxis.y, yAxis.y, zAxis.y, 0, xAxis.z, yAxis.z, zAxis.z, 0, 0, 0, 0, 1 ); return this; }, extractRotation: function () { var v1; return function ( m ) { if ( v1 === undefined ) v1 = new THREE.Vector3(); var te = this.elements; var me = m.elements; var scaleX = 1 / v1.set( me[ 0 ], me[ 1 ], me[ 2 ] ).length(); var scaleY = 1 / v1.set( me[ 4 ], me[ 5 ], me[ 6 ] ).length(); var scaleZ = 1 / v1.set( me[ 8 ], me[ 9 ], me[ 10 ] ).length(); te[ 0 ] = me[ 0 ] * scaleX; te[ 1 ] = me[ 1 ] * scaleX; te[ 2 ] = me[ 2 ] * scaleX; te[ 4 ] = me[ 4 ] * scaleY; te[ 5 ] = me[ 5 ] * scaleY; te[ 6 ] = me[ 6 ] * scaleY; te[ 8 ] = me[ 8 ] * scaleZ; te[ 9 ] = me[ 9 ] * scaleZ; te[ 10 ] = me[ 10 ] * scaleZ; return this; }; }(), makeRotationFromEuler: function ( euler ) { if ( euler instanceof THREE.Euler === false ) { console.error( 'THREE.Matrix: .makeRotationFromEuler() now expects a Euler rotation rather than a Vector3 and order.' ); } var te = this.elements; var x = euler.x, y = euler.y, z = euler.z; var a = Math.cos( x ), b = Math.sin( x ); var c = Math.cos( y ), d = Math.sin( y ); var e = Math.cos( z ), f = Math.sin( z ); if ( euler.order === 'XYZ' ) { var ae = a * e, af = a * f, be = b * e, bf = b * f; te[ 0 ] = c * e; te[ 4 ] = - c * f; te[ 8 ] = d; te[ 1 ] = af + be * d; te[ 5 ] = ae - bf * d; te[ 9 ] = - b * c; te[ 2 ] = bf - ae * d; te[ 6 ] = be + af * d; te[ 10 ] = a * c; } else if ( euler.order === 'YXZ' ) { var ce = c * e, cf = c * f, de = d * e, df = d * f; te[ 0 ] = ce + df * b; te[ 4 ] = de * b - cf; te[ 8 ] = a * d; te[ 1 ] = a * f; te[ 5 ] = a * e; te[ 9 ] = - b; te[ 2 ] = cf * b - de; te[ 6 ] = df + ce * b; te[ 10 ] = a * c; } else if ( euler.order === 'ZXY' ) { var ce = c * e, cf = c * f, de = d * e, df = d * f; te[ 0 ] = ce - df * b; te[ 4 ] = - a * f; te[ 8 ] = de + cf * b; te[ 1 ] = cf + de * b; te[ 5 ] = a * e; te[ 9 ] = df - ce * b; te[ 2 ] = - a * d; te[ 6 ] = b; te[ 10 ] = a * c; } else if ( euler.order === 'ZYX' ) { var ae = a * e, af = a * f, be = b * e, bf = b * f; te[ 0 ] = c * e; te[ 4 ] = be * d - af; te[ 8 ] = ae * d + bf; te[ 1 ] = c * f; te[ 5 ] = bf * d + ae; te[ 9 ] = af * d - be; te[ 2 ] = - d; te[ 6 ] = b * c; te[ 10 ] = a * c; } else if ( euler.order === 'YZX' ) { var ac = a * c, ad = a * d, bc = b * c, bd = b * d; te[ 0 ] = c * e; te[ 4 ] = bd - ac * f; te[ 8 ] = bc * f + ad; te[ 1 ] = f; te[ 5 ] = a * e; te[ 9 ] = - b * e; te[ 2 ] = - d * e; te[ 6 ] = ad * f + bc; te[ 10 ] = ac - bd * f; } else if ( euler.order === 'XZY' ) { var ac = a * c, ad = a * d, bc = b * c, bd = b * d; te[ 0 ] = c * e; te[ 4 ] = - f; te[ 8 ] = d * e; te[ 1 ] = ac * f + bd; te[ 5 ] = a * e; te[ 9 ] = ad * f - bc; te[ 2 ] = bc * f - ad; te[ 6 ] = b * e; te[ 10 ] = bd * f + ac; } // last column te[ 3 ] = 0; te[ 7 ] = 0; te[ 11 ] = 0; // bottom row te[ 12 ] = 0; te[ 13 ] = 0; te[ 14 ] = 0; te[ 15 ] = 1; return this; }, setRotationFromQuaternion: function ( q ) { console.warn( 'THREE.Matrix4: .setRotationFromQuaternion() has been renamed to .makeRotationFromQuaternion().' ); return this.makeRotationFromQuaternion( q ); }, makeRotationFromQuaternion: function ( q ) { var te = this.elements; var x = q.x, y = q.y, z = q.z, w = q.w; var x2 = x + x, y2 = y + y, z2 = z + z; var xx = x * x2, xy = x * y2, xz = x * z2; var yy = y * y2, yz = y * z2, zz = z * z2; var wx = w * x2, wy = w * y2, wz = w * z2; te[ 0 ] = 1 - ( yy + zz ); te[ 4 ] = xy - wz; te[ 8 ] = xz + wy; te[ 1 ] = xy + wz; te[ 5 ] = 1 - ( xx + zz ); te[ 9 ] = yz - wx; te[ 2 ] = xz - wy; te[ 6 ] = yz + wx; te[ 10 ] = 1 - ( xx + yy ); // last column te[ 3 ] = 0; te[ 7 ] = 0; te[ 11 ] = 0; // bottom row te[ 12 ] = 0; te[ 13 ] = 0; te[ 14 ] = 0; te[ 15 ] = 1; return this; }, lookAt: function () { var x, y, z; return function ( eye, target, up ) { if ( x === undefined ) x = new THREE.Vector3(); if ( y === undefined ) y = new THREE.Vector3(); if ( z === undefined ) z = new THREE.Vector3(); var te = this.elements; z.subVectors( eye, target ).normalize(); if ( z.lengthSq() === 0 ) { z.z = 1; } x.crossVectors( up, z ).normalize(); if ( x.lengthSq() === 0 ) { z.x += 0.0001; x.crossVectors( up, z ).normalize(); } y.crossVectors( z, x ); te[ 0 ] = x.x; te[ 4 ] = y.x; te[ 8 ] = z.x; te[ 1 ] = x.y; te[ 5 ] = y.y; te[ 9 ] = z.y; te[ 2 ] = x.z; te[ 6 ] = y.z; te[ 10 ] = z.z; return this; }; }(), multiply: function ( m, n ) { if ( n !== undefined ) { console.warn( 'THREE.Matrix4: .multiply() now only accepts one argument. Use .multiplyMatrices( a, b ) instead.' ); return this.multiplyMatrices( m, n ); } return this.multiplyMatrices( this, m ); }, multiplyMatrices: function ( a, b ) { var ae = a.elements; var be = b.elements; var te = this.elements; var a11 = ae[ 0 ], a12 = ae[ 4 ], a13 = ae[ 8 ], a14 = ae[ 12 ]; var a21 = ae[ 1 ], a22 = ae[ 5 ], a23 = ae[ 9 ], a24 = ae[ 13 ]; var a31 = ae[ 2 ], a32 = ae[ 6 ], a33 = ae[ 10 ], a34 = ae[ 14 ]; var a41 = ae[ 3 ], a42 = ae[ 7 ], a43 = ae[ 11 ], a44 = ae[ 15 ]; var b11 = be[ 0 ], b12 = be[ 4 ], b13 = be[ 8 ], b14 = be[ 12 ]; var b21 = be[ 1 ], b22 = be[ 5 ], b23 = be[ 9 ], b24 = be[ 13 ]; var b31 = be[ 2 ], b32 = be[ 6 ], b33 = be[ 10 ], b34 = be[ 14 ]; var b41 = be[ 3 ], b42 = be[ 7 ], b43 = be[ 11 ], b44 = be[ 15 ]; te[ 0 ] = a11 * b11 + a12 * b21 + a13 * b31 + a14 * b41; te[ 4 ] = a11 * b12 + a12 * b22 + a13 * b32 + a14 * b42; te[ 8 ] = a11 * b13 + a12 * b23 + a13 * b33 + a14 * b43; te[ 12 ] = a11 * b14 + a12 * b24 + a13 * b34 + a14 * b44; te[ 1 ] = a21 * b11 + a22 * b21 + a23 * b31 + a24 * b41; te[ 5 ] = a21 * b12 + a22 * b22 + a23 * b32 + a24 * b42; te[ 9 ] = a21 * b13 + a22 * b23 + a23 * b33 + a24 * b43; te[ 13 ] = a21 * b14 + a22 * b24 + a23 * b34 + a24 * b44; te[ 2 ] = a31 * b11 + a32 * b21 + a33 * b31 + a34 * b41; te[ 6 ] = a31 * b12 + a32 * b22 + a33 * b32 + a34 * b42; te[ 10 ] = a31 * b13 + a32 * b23 + a33 * b33 + a34 * b43; te[ 14 ] = a31 * b14 + a32 * b24 + a33 * b34 + a34 * b44; te[ 3 ] = a41 * b11 + a42 * b21 + a43 * b31 + a44 * b41; te[ 7 ] = a41 * b12 + a42 * b22 + a43 * b32 + a44 * b42; te[ 11 ] = a41 * b13 + a42 * b23 + a43 * b33 + a44 * b43; te[ 15 ] = a41 * b14 + a42 * b24 + a43 * b34 + a44 * b44; return this; }, multiplyToArray: function ( a, b, r ) { var te = this.elements; this.multiplyMatrices( a, b ); r[ 0 ] = te[ 0 ]; r[ 1 ] = te[ 1 ]; r[ 2 ] = te[ 2 ]; r[ 3 ] = te[ 3 ]; r[ 4 ] = te[ 4 ]; r[ 5 ] = te[ 5 ]; r[ 6 ] = te[ 6 ]; r[ 7 ] = te[ 7 ]; r[ 8 ] = te[ 8 ]; r[ 9 ] = te[ 9 ]; r[ 10 ] = te[ 10 ]; r[ 11 ] = te[ 11 ]; r[ 12 ] = te[ 12 ]; r[ 13 ] = te[ 13 ]; r[ 14 ] = te[ 14 ]; r[ 15 ] = te[ 15 ]; return this; }, multiplyScalar: function ( s ) { var te = this.elements; te[ 0 ] *= s; te[ 4 ] *= s; te[ 8 ] *= s; te[ 12 ] *= s; te[ 1 ] *= s; te[ 5 ] *= s; te[ 9 ] *= s; te[ 13 ] *= s; te[ 2 ] *= s; te[ 6 ] *= s; te[ 10 ] *= s; te[ 14 ] *= s; te[ 3 ] *= s; te[ 7 ] *= s; te[ 11 ] *= s; te[ 15 ] *= s; return this; }, multiplyVector3: function ( vector ) { console.warn( 'THREE.Matrix4: .multiplyVector3() has been removed. Use vector.applyMatrix4( matrix ) or vector.applyProjection( matrix ) instead.' ); return vector.applyProjection( this ); }, multiplyVector4: function ( vector ) { console.warn( 'THREE.Matrix4: .multiplyVector4() has been removed. Use vector.applyMatrix4( matrix ) instead.' ); return vector.applyMatrix4( this ); }, multiplyVector3Array: function ( a ) { console.warn( 'THREE.Matrix4: .multiplyVector3Array() has been renamed. Use matrix.applyToVector3Array( array ) instead.' ); return this.applyToVector3Array( a ); }, applyToVector3Array: function () { var v1; return function ( array, offset, length ) { if ( v1 === undefined ) v1 = new THREE.Vector3(); if ( offset === undefined ) offset = 0; if ( length === undefined ) length = array.length; for ( var i = 0, j = offset; i < length; i += 3, j += 3 ) { v1.fromArray( array, j ); v1.applyMatrix4( this ); v1.toArray( array, j ); } return array; }; }(), applyToBuffer: function () { var v1; return function applyToBuffer( buffer, offset, length ) { if ( v1 === undefined ) v1 = new THREE.Vector3(); if ( offset === undefined ) offset = 0; if ( length === undefined ) length = buffer.length / buffer.itemSize; for ( var i = 0, j = offset; i < length; i ++, j ++ ) { v1.x = buffer.getX( j ); v1.y = buffer.getY( j ); v1.z = buffer.getZ( j ); v1.applyMatrix4( this ); buffer.setXYZ( v1.x, v1.y, v1.z ); } return buffer; }; }(), rotateAxis: function ( v ) { console.warn( 'THREE.Matrix4: .rotateAxis() has been removed. Use Vector3.transformDirection( matrix ) instead.' ); v.transformDirection( this ); }, crossVector: function ( vector ) { console.warn( 'THREE.Matrix4: .crossVector() has been removed. Use vector.applyMatrix4( matrix ) instead.' ); return vector.applyMatrix4( this ); }, determinant: function () { var te = this.elements; var n11 = te[ 0 ], n12 = te[ 4 ], n13 = te[ 8 ], n14 = te[ 12 ]; var n21 = te[ 1 ], n22 = te[ 5 ], n23 = te[ 9 ], n24 = te[ 13 ]; var n31 = te[ 2 ], n32 = te[ 6 ], n33 = te[ 10 ], n34 = te[ 14 ]; var n41 = te[ 3 ], n42 = te[ 7 ], n43 = te[ 11 ], n44 = te[ 15 ]; //TODO: make this more efficient //( based on http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm ) return ( n41 * ( + n14 * n23 * n32 - n13 * n24 * n32 - n14 * n22 * n33 + n12 * n24 * n33 + n13 * n22 * n34 - n12 * n23 * n34 ) + n42 * ( + n11 * n23 * n34 - n11 * n24 * n33 + n14 * n21 * n33 - n13 * n21 * n34 + n13 * n24 * n31 - n14 * n23 * n31 ) + n43 * ( + n11 * n24 * n32 - n11 * n22 * n34 - n14 * n21 * n32 + n12 * n21 * n34 + n14 * n22 * n31 - n12 * n24 * n31 ) + n44 * ( - n13 * n22 * n31 - n11 * n23 * n32 + n11 * n22 * n33 + n13 * n21 * n32 - n12 * n21 * n33 + n12 * n23 * n31 ) ); }, transpose: function () { var te = this.elements; var tmp; tmp = te[ 1 ]; te[ 1 ] = te[ 4 ]; te[ 4 ] = tmp; tmp = te[ 2 ]; te[ 2 ] = te[ 8 ]; te[ 8 ] = tmp; tmp = te[ 6 ]; te[ 6 ] = te[ 9 ]; te[ 9 ] = tmp; tmp = te[ 3 ]; te[ 3 ] = te[ 12 ]; te[ 12 ] = tmp; tmp = te[ 7 ]; te[ 7 ] = te[ 13 ]; te[ 13 ] = tmp; tmp = te[ 11 ]; te[ 11 ] = te[ 14 ]; te[ 14 ] = tmp; return this; }, flattenToArrayOffset: function ( array, offset ) { var te = this.elements; array[ offset ] = te[ 0 ]; array[ offset + 1 ] = te[ 1 ]; array[ offset + 2 ] = te[ 2 ]; array[ offset + 3 ] = te[ 3 ]; array[ offset + 4 ] = te[ 4 ]; array[ offset + 5 ] = te[ 5 ]; array[ offset + 6 ] = te[ 6 ]; array[ offset + 7 ] = te[ 7 ]; array[ offset + 8 ] = te[ 8 ]; array[ offset + 9 ] = te[ 9 ]; array[ offset + 10 ] = te[ 10 ]; array[ offset + 11 ] = te[ 11 ]; array[ offset + 12 ] = te[ 12 ]; array[ offset + 13 ] = te[ 13 ]; array[ offset + 14 ] = te[ 14 ]; array[ offset + 15 ] = te[ 15 ]; return array; }, getPosition: function () { var v1; return function () { if ( v1 === undefined ) v1 = new THREE.Vector3(); console.warn( 'THREE.Matrix4: .getPosition() has been removed. Use Vector3.setFromMatrixPosition( matrix ) instead.' ); var te = this.elements; return v1.set( te[ 12 ], te[ 13 ], te[ 14 ] ); }; }(), setPosition: function ( v ) { var te = this.elements; te[ 12 ] = v.x; te[ 13 ] = v.y; te[ 14 ] = v.z; return this; }, getInverse: function ( m, throwOnInvertible ) { // based on http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm var te = this.elements; var me = m.elements; var n11 = me[ 0 ], n12 = me[ 4 ], n13 = me[ 8 ], n14 = me[ 12 ]; var n21 = me[ 1 ], n22 = me[ 5 ], n23 = me[ 9 ], n24 = me[ 13 ]; var n31 = me[ 2 ], n32 = me[ 6 ], n33 = me[ 10 ], n34 = me[ 14 ]; var n41 = me[ 3 ], n42 = me[ 7 ], n43 = me[ 11 ], n44 = me[ 15 ]; te[ 0 ] = n23 * n34 * n42 - n24 * n33 * n42 + n24 * n32 * n43 - n22 * n34 * n43 - n23 * n32 * n44 + n22 * n33 * n44; te[ 4 ] = n14 * n33 * n42 - n13 * n34 * n42 - n14 * n32 * n43 + n12 * n34 * n43 + n13 * n32 * n44 - n12 * n33 * n44; te[ 8 ] = n13 * n24 * n42 - n14 * n23 * n42 + n14 * n22 * n43 - n12 * n24 * n43 - n13 * n22 * n44 + n12 * n23 * n44; te[ 12 ] = n14 * n23 * n32 - n13 * n24 * n32 - n14 * n22 * n33 + n12 * n24 * n33 + n13 * n22 * n34 - n12 * n23 * n34; te[ 1 ] = n24 * n33 * n41 - n23 * n34 * n41 - n24 * n31 * n43 + n21 * n34 * n43 + n23 * n31 * n44 - n21 * n33 * n44; te[ 5 ] = n13 * n34 * n41 - n14 * n33 * n41 + n14 * n31 * n43 - n11 * n34 * n43 - n13 * n31 * n44 + n11 * n33 * n44; te[ 9 ] = n14 * n23 * n41 - n13 * n24 * n41 - n14 * n21 * n43 + n11 * n24 * n43 + n13 * n21 * n44 - n11 * n23 * n44; te[ 13 ] = n13 * n24 * n31 - n14 * n23 * n31 + n14 * n21 * n33 - n11 * n24 * n33 - n13 * n21 * n34 + n11 * n23 * n34; te[ 2 ] = n22 * n34 * n41 - n24 * n32 * n41 + n24 * n31 * n42 - n21 * n34 * n42 - n22 * n31 * n44 + n21 * n32 * n44; te[ 6 ] = n14 * n32 * n41 - n12 * n34 * n41 - n14 * n31 * n42 + n11 * n34 * n42 + n12 * n31 * n44 - n11 * n32 * n44; te[ 10 ] = n12 * n24 * n41 - n14 * n22 * n41 + n14 * n21 * n42 - n11 * n24 * n42 - n12 * n21 * n44 + n11 * n22 * n44; te[ 14 ] = n14 * n22 * n31 - n12 * n24 * n31 - n14 * n21 * n32 + n11 * n24 * n32 + n12 * n21 * n34 - n11 * n22 * n34; te[ 3 ] = n23 * n32 * n41 - n22 * n33 * n41 - n23 * n31 * n42 + n21 * n33 * n42 + n22 * n31 * n43 - n21 * n32 * n43; te[ 7 ] = n12 * n33 * n41 - n13 * n32 * n41 + n13 * n31 * n42 - n11 * n33 * n42 - n12 * n31 * n43 + n11 * n32 * n43; te[ 11 ] = n13 * n22 * n41 - n12 * n23 * n41 - n13 * n21 * n42 + n11 * n23 * n42 + n12 * n21 * n43 - n11 * n22 * n43; te[ 15 ] = n12 * n23 * n31 - n13 * n22 * n31 + n13 * n21 * n32 - n11 * n23 * n32 - n12 * n21 * n33 + n11 * n22 * n33; var det = n11 * te[ 0 ] + n21 * te[ 4 ] + n31 * te[ 8 ] + n41 * te[ 12 ]; if ( det === 0 ) { var msg = "THREE.Matrix4.getInverse(): can't invert matrix, determinant is 0"; if ( throwOnInvertible || false ) { throw new Error( msg ); } else { console.warn( msg ); } this.identity(); return this; } this.multiplyScalar( 1 / det ); return this; }, translate: function ( v ) { console.error( 'THREE.Matrix4: .translate() has been removed.' ); }, rotateX: function ( angle ) { console.error( 'THREE.Matrix4: .rotateX() has been removed.' ); }, rotateY: function ( angle ) { console.error( 'THREE.Matrix4: .rotateY() has been removed.' ); }, rotateZ: function ( angle ) { console.error( 'THREE.Matrix4: .rotateZ() has been removed.' ); }, rotateByAxis: function ( axis, angle ) { console.error( 'THREE.Matrix4: .rotateByAxis() has been removed.' ); }, scale: function ( v ) { var te = this.elements; var x = v.x, y = v.y, z = v.z; te[ 0 ] *= x; te[ 4 ] *= y; te[ 8 ] *= z; te[ 1 ] *= x; te[ 5 ] *= y; te[ 9 ] *= z; te[ 2 ] *= x; te[ 6 ] *= y; te[ 10 ] *= z; te[ 3 ] *= x; te[ 7 ] *= y; te[ 11 ] *= z; return this; }, getMaxScaleOnAxis: function () { var te = this.elements; var scaleXSq = te[ 0 ] * te[ 0 ] + te[ 1 ] * te[ 1 ] + te[ 2 ] * te[ 2 ]; var scaleYSq = te[ 4 ] * te[ 4 ] + te[ 5 ] * te[ 5 ] + te[ 6 ] * te[ 6 ]; var scaleZSq = te[ 8 ] * te[ 8 ] + te[ 9 ] * te[ 9 ] + te[ 10 ] * te[ 10 ]; return Math.sqrt( Math.max( scaleXSq, scaleYSq, scaleZSq ) ); }, makeTranslation: function ( x, y, z ) { this.set( 1, 0, 0, x, 0, 1, 0, y, 0, 0, 1, z, 0, 0, 0, 1 ); return this; }, makeRotationX: function ( theta ) { var c = Math.cos( theta ), s = Math.sin( theta ); this.set( 1, 0, 0, 0, 0, c, - s, 0, 0, s, c, 0, 0, 0, 0, 1 ); return this; }, makeRotationY: function ( theta ) { var c = Math.cos( theta ), s = Math.sin( theta ); this.set( c, 0, s, 0, 0, 1, 0, 0, - s, 0, c, 0, 0, 0, 0, 1 ); return this; }, makeRotationZ: function ( theta ) { var c = Math.cos( theta ), s = Math.sin( theta ); this.set( c, - s, 0, 0, s, c, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ); return this; }, makeRotationAxis: function ( axis, angle ) { // Based on http://www.gamedev.net/reference/articles/article1199.asp var c = Math.cos( angle ); var s = Math.sin( angle ); var t = 1 - c; var x = axis.x, y = axis.y, z = axis.z; var tx = t * x, ty = t * y; this.set( tx * x + c, tx * y - s * z, tx * z + s * y, 0, tx * y + s * z, ty * y + c, ty * z - s * x, 0, tx * z - s * y, ty * z + s * x, t * z * z + c, 0, 0, 0, 0, 1 ); return this; }, makeScale: function ( x, y, z ) { this.set( x, 0, 0, 0, 0, y, 0, 0, 0, 0, z, 0, 0, 0, 0, 1 ); return this; }, compose: function ( position, quaternion, scale ) { this.makeRotationFromQuaternion( quaternion ); this.scale( scale ); this.setPosition( position ); return this; }, decompose: function () { var vector, matrix; return function ( position, quaternion, scale ) { if ( vector === undefined ) vector = new THREE.Vector3(); if ( matrix === undefined ) matrix = new THREE.Matrix4(); var te = this.elements; var sx = vector.set( te[ 0 ], te[ 1 ], te[ 2 ] ).length(); var sy = vector.set( te[ 4 ], te[ 5 ], te[ 6 ] ).length(); var sz = vector.set( te[ 8 ], te[ 9 ], te[ 10 ] ).length(); // if determine is negative, we need to invert one scale var det = this.determinant(); if ( det < 0 ) { sx = - sx; } position.x = te[ 12 ]; position.y = te[ 13 ]; position.z = te[ 14 ]; // scale the rotation part matrix.elements.set( this.elements ); // at this point matrix is incomplete so we can't use .copy() var invSX = 1 / sx; var invSY = 1 / sy; var invSZ = 1 / sz; matrix.elements[ 0 ] *= invSX; matrix.elements[ 1 ] *= invSX; matrix.elements[ 2 ] *= invSX; matrix.elements[ 4 ] *= invSY; matrix.elements[ 5 ] *= invSY; matrix.elements[ 6 ] *= invSY; matrix.elements[ 8 ] *= invSZ; matrix.elements[ 9 ] *= invSZ; matrix.elements[ 10 ] *= invSZ; quaternion.setFromRotationMatrix( matrix ); scale.x = sx; scale.y = sy; scale.z = sz; return this; }; }(), makeFrustum: function ( left, right, bottom, top, near, far ) { var te = this.elements; var x = 2 * near / ( right - left ); var y = 2 * near / ( top - bottom ); var a = ( right + left ) / ( right - left ); var b = ( top + bottom ) / ( top - bottom ); var c = - ( far + near ) / ( far - near ); var d = - 2 * far * near / ( far - near ); te[ 0 ] = x; te[ 4 ] = 0; te[ 8 ] = a; te[ 12 ] = 0; te[ 1 ] = 0; te[ 5 ] = y; te[ 9 ] = b; te[ 13 ] = 0; te[ 2 ] = 0; te[ 6 ] = 0; te[ 10 ] = c; te[ 14 ] = d; te[ 3 ] = 0; te[ 7 ] = 0; te[ 11 ] = - 1; te[ 15 ] = 0; return this; }, makePerspective: function ( fov, aspect, near, far ) { var ymax = near * Math.tan( THREE.Math.degToRad( fov * 0.5 ) ); var ymin = - ymax; var xmin = ymin * aspect; var xmax = ymax * aspect; return this.makeFrustum( xmin, xmax, ymin, ymax, near, far ); }, makeOrthographic: function ( left, right, top, bottom, near, far ) { var te = this.elements; var w = right - left; var h = top - bottom; var p = far - near; var x = ( right + left ) / w; var y = ( top + bottom ) / h; var z = ( far + near ) / p; te[ 0 ] = 2 / w; te[ 4 ] = 0; te[ 8 ] = 0; te[ 12 ] = - x; te[ 1 ] = 0; te[ 5 ] = 2 / h; te[ 9 ] = 0; te[ 13 ] = - y; te[ 2 ] = 0; te[ 6 ] = 0; te[ 10 ] = - 2 / p; te[ 14 ] = - z; te[ 3 ] = 0; te[ 7 ] = 0; te[ 11 ] = 0; te[ 15 ] = 1; return this; }, equals: function ( matrix ) { var te = this.elements; var me = matrix.elements; for ( var i = 0; i < 16; i ++ ) { if ( te[ i ] !== me[ i ] ) return false; } return true; }, fromArray: function ( array ) { this.elements.set( array ); return this; }, toArray: function () { var te = this.elements; return [ te[ 0 ], te[ 1 ], te[ 2 ], te[ 3 ], te[ 4 ], te[ 5 ], te[ 6 ], te[ 7 ], te[ 8 ], te[ 9 ], te[ 10 ], te[ 11 ], te[ 12 ], te[ 13 ], te[ 14 ], te[ 15 ] ]; } };