var _Math = {};
var Vector3 = {};
var Quaternion = {};

_Math = {

	DEG2RAD: Math.PI / 180,
	RAD2DEG: 180 / Math.PI,

	generateUUID: ( function () {

		// http://stackoverflow.com/questions/105034/how-to-create-a-guid-uuid-in-javascript/21963136#21963136

		var lut = [];

		for ( var i = 0; i < 256; i ++ ) {

			lut[ i ] = ( i < 16 ? '0' : '' ) + ( i ).toString( 16 );

		}

		return function generateUUID() {

			var d0 = Math.random() * 0xffffffff | 0;
			var d1 = Math.random() * 0xffffffff | 0;
			var d2 = Math.random() * 0xffffffff | 0;
			var d3 = Math.random() * 0xffffffff | 0;
			var uuid = lut[ d0 & 0xff ] + lut[ d0 >> 8 & 0xff ] + lut[ d0 >> 16 & 0xff ] + lut[ d0 >> 24 & 0xff ] + '-' +
				lut[ d1 & 0xff ] + lut[ d1 >> 8 & 0xff ] + '-' + lut[ d1 >> 16 & 0x0f | 0x40 ] + lut[ d1 >> 24 & 0xff ] + '-' +
				lut[ d2 & 0x3f | 0x80 ] + lut[ d2 >> 8 & 0xff ] + '-' + lut[ d2 >> 16 & 0xff ] + lut[ d2 >> 24 & 0xff ] +
				lut[ d3 & 0xff ] + lut[ d3 >> 8 & 0xff ] + lut[ d3 >> 16 & 0xff ] + lut[ d3 >> 24 & 0xff ];

			// .toUpperCase() here flattens concatenated strings to save heap memory space.
			return uuid.toUpperCase();

		};

	} )(),

	clamp: function ( value, min, max ) {

		return Math.max( min, Math.min( max, value ) );

	},

	// compute euclidian modulo of m % n
	// https://en.wikipedia.org/wiki/Modulo_operation

	euclideanModulo: function ( n, m ) {

		return ( ( n % m ) + m ) % m;

	},

	// Linear mapping from range <a1, a2> to range <b1, b2>

	mapLinear: function ( x, a1, a2, b1, b2 ) {

		return b1 + ( x - a1 ) * ( b2 - b1 ) / ( a2 - a1 );

	},

	// https://en.wikipedia.org/wiki/Linear_interpolation

	lerp: function ( x, y, t ) {

		return ( 1 - t ) * x + t * y;

	},

	// http://en.wikipedia.org/wiki/Smoothstep

	smoothstep: function ( x, min, max ) {

		if ( x <= min ) return 0;
		if ( x >= max ) return 1;

		x = ( x - min ) / ( max - min );

		return x * x * ( 3 - 2 * x );

	},

	smootherstep: function ( x, min, max ) {

		if ( x <= min ) return 0;
		if ( x >= max ) return 1;

		x = ( x - min ) / ( max - min );

		return x * x * x * ( x * ( x * 6 - 15 ) + 10 );

	},

	// Random integer from <low, high> interval

	randInt: function ( low, high ) {

		return low + Math.floor( Math.random() * ( high - low + 1 ) );

	},

	// Random float from <low, high> interval

	randFloat: function ( low, high ) {

		return low + Math.random() * ( high - low );

	},

	// Random float from <-range/2, range/2> interval

	randFloatSpread: function ( range ) {

		return range * ( 0.5 - Math.random() );

	},

	degToRad: function ( degrees ) {

		return degrees * _Math.DEG2RAD;

	},

	radToDeg: function ( radians ) {

		return radians * _Math.RAD2DEG;

	},

	isPowerOfTwo: function ( value ) {

		return ( value & ( value - 1 ) ) === 0 && value !== 0;

	},

	ceilPowerOfTwo: function ( value ) {

		return Math.pow( 2, Math.ceil( Math.log( value ) / Math.LN2 ) );

	},

	floorPowerOfTwo: function ( value ) {

		return Math.pow( 2, Math.floor( Math.log( value ) / Math.LN2 ) );

	}

};

//////////////////////////////////////////////////////////////////////////////

Quaternion = function ( x, y, z, w ) {

	this._x = x || 0;
	this._y = y || 0;
	this._z = z || 0;
	this._w = ( w !== undefined ) ? w : 1;

	this.slerp = function ( qa, qb, qm, t ) {

		return qm.copy( qa ).slerp( qb, t );

	},

	this.slerpFlat = function ( dst, dstOffset, src0, srcOffset0, src1, srcOffset1, t ) {

		// fuzz-free, array-based Quaternion SLERP operation

		var x0 = src0[ srcOffset0 + 0 ],
			y0 = src0[ srcOffset0 + 1 ],
			z0 = src0[ srcOffset0 + 2 ],
			w0 = src0[ srcOffset0 + 3 ],

			x1 = src1[ srcOffset1 + 0 ],
			y1 = src1[ srcOffset1 + 1 ],
			z1 = src1[ srcOffset1 + 2 ],
			w1 = src1[ srcOffset1 + 3 ];

		if ( w0 !== w1 || x0 !== x1 || y0 !== y1 || z0 !== z1 ) {

			var s = 1 - t,

				cos = x0 * x1 + y0 * y1 + z0 * z1 + w0 * w1,

				dir = ( cos >= 0 ? 1 : - 1 ),
				sqrSin = 1 - cos * cos;

			// Skip the Slerp for tiny steps to avoid numeric problems:
			if ( sqrSin > Number.EPSILON ) {

				var sin = Math.sqrt( sqrSin ),
					len = Math.atan2( sin, cos * dir );

				s = Math.sin( s * len ) / sin;
				t = Math.sin( t * len ) / sin;

			}

			var tDir = t * dir;

			x0 = x0 * s + x1 * tDir;
			y0 = y0 * s + y1 * tDir;
			z0 = z0 * s + z1 * tDir;
			w0 = w0 * s + w1 * tDir;

			// Normalize in case we just did a lerp:
			if ( s === 1 - t ) {

				var f = 1 / Math.sqrt( x0 * x0 + y0 * y0 + z0 * z0 + w0 * w0 );

				x0 *= f;
				y0 *= f;
				z0 *= f;
				w0 *= f;

			}

		}

		dst[ dstOffset ] = x0;
		dst[ dstOffset + 1 ] = y0;
		dst[ dstOffset + 2 ] = z0;
		dst[ dstOffset + 3 ] = w0;

	};

    this.isQuaternion = true;

	this.set = function ( x, y, z, w ) {

		this._x = x;
		this._y = y;
		this._z = z;
		this._w = w;

		return this;

	};

	this.clone = function () {

		return new this.constructor( this._x, this._y, this._z, this._w );

	};

	this.copy = function ( quaternion ) {

		this._x = quaternion.x;
		this._y = quaternion.y;
		this._z = quaternion.z;
		this._w = quaternion.w;

		return this;

	};

	this.setFromEuler = function ( euler, update ) {

		if ( ! ( euler && euler.isEuler ) ) {

			throw new Error( 'Quaternion: .setFromEuler() now expects an Euler rotation rather than a Vector3 and order.' );

		}

		var x = euler._x, y = euler._y, z = euler._z, order = euler.order;

		// http://www.mathworks.com/matlabcentral/fileexchange/
		// 	20696-function-to-convert-between-dcm-euler-angles-quaternions-and-euler-vectors/
		//	content/SpinCalc.m

		var cos = Math.cos;
		var sin = Math.sin;

		var c1 = cos( x / 2 );
		var c2 = cos( y / 2 );
		var c3 = cos( z / 2 );

		var s1 = sin( x / 2 );
		var s2 = sin( y / 2 );
		var s3 = sin( z / 2 );

		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;

		}

		return this;

	};

	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 );

		return this;

	};

	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;

		}

		return this;

	};

	this.setFromUnitVectors = function ( vFrom, vTo ) {

		// assumes direction vectors vFrom and vTo are normalized

		var EPS = 0.000001;

		var r = vFrom.dot( vTo ) + 1;

		if ( r < EPS ) {

			r = 0;

			if ( Math.abs( vFrom.x ) > Math.abs( vFrom.z ) ) {

				this._x = - vFrom.y;
				this._y = vFrom.x;
				this._z = 0;
				this._w = r;

			} else {

				this._x = 0;
				this._y = - vFrom.z;
				this._z = vFrom.y;
				this._w = r;

			}

		} else {

			// crossVectors( vFrom, vTo ); // inlined to avoid cyclic dependency on Vector3

			this._x = vFrom.y * vTo.z - vFrom.z * vTo.y;
			this._y = vFrom.z * vTo.x - vFrom.x * vTo.z;
			this._z = vFrom.x * vTo.y - vFrom.y * vTo.x;
			this._w = r;

		}

		return this.normalize();

	};

	this.angleTo = function ( q ) {

		return 2 * Math.acos( Math.abs( _Math.clamp( this.dot( q ), - 1, 1 ) ) );

	};

	this.rotateTowards = function ( q, step ) {

		var angle = this.angleTo( q );

		if ( angle === 0 ) return this;

		var t = Math.min( 1, step / angle );

		this.slerp( q, t );

		return this;

	};

	this.inverse = function () {

		// quaternion is assumed to have unit length

		return this.conjugate();

	};

	this.conjugate = function () {

		this._x *= - 1;
		this._y *= - 1;
		this._z *= - 1;

		return this;

	};

	this.dot = function ( v ) {

		return this._x * v._x + this._y * v._y + this._z * v._z + this._w * v._w;

	};

	this.lengthSq = function () {

		return this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w;

	};

	this.length = function () {

		return Math.sqrt( this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w );

	};

	this.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;

		}

		return this;

	};

	this.multiply = function ( q, p ) {

		if ( p !== undefined ) {

			console.warn( 'Quaternion: .multiply() now only accepts one argument. Use .multiplyQuaternions( a, b ) instead.' );
			return this.multiplyQuaternions( q, p );

		}

		return this.multiplyQuaternions( this, q );

	};

	this.premultiply = function ( q ) {

		return this.multiplyQuaternions( q, this );

	};

	this.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;

		return this;

	};

	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 sqrSinHalfTheta = 1.0 - cosHalfTheta * cosHalfTheta;

		if ( sqrSinHalfTheta <= Number.EPSILON ) {

			var s = 1 - t;
			this._w = s * w + t * this._w;
			this._x = s * x + t * this._x;
			this._y = s * y + t * this._y;
			this._z = s * z + t * this._z;

			this.normalize();

			return this;

		}

		var sinHalfTheta = Math.sqrt( sqrSinHalfTheta );
		var halfTheta = Math.atan2( sinHalfTheta, cosHalfTheta );
		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 );

		return this;

	};

	this.equals = function ( quaternion ) {

		return ( quaternion._x === this._x ) && ( quaternion._y === this._y ) && ( quaternion._z === this._z ) && ( quaternion._w === this._w );

	};

	this.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;

	};

	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;

	};
};

Object.defineProperties( Quaternion.prototype, {

	x: {

		get: function () {

			return this._x;

		},

		set: function ( value ) {

			this._x = value;

		}

	},

	y: {

		get: function () {

			return this._y;

		},

		set: function ( value ) {

			this._y = value;

		}

	},

	z: {

		get: function () {

			return this._z;

		},

		set: function ( value ) {

			this._z = value;

		}

	},

	w: {

		get: function () {

			return this._w;

		},

		set: function ( value ) {

			this._w = value;

		}

	}

} );

///////////////////////////////////////////////////////////////

Vector3 = function( x, y, z ) {

	this.x = x || 0;
	this.y = y || 0;
	this.z = z || 0;

    this.isVector3 = true;

	this.set = function ( x, y, z ) {

		this.x = x;
		this.y = y;
		this.z = z;

		return this;

	};

	this.setScalar = function ( scalar ) {

		this.x = scalar;
		this.y = scalar;
		this.z = scalar;

		return this;

	};

	this.setX = function ( x ) {

		this.x = x;

		return this;

	};

	this.setY = function ( y ) {

		this.y = y;

		return this;

	};

	this.setZ = function ( z ) {

		this.z = z;

		return this;

	};

	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 );

		}

		return this;

	};

	this.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 );

		}

	};

	this.clone = function () {

		return new this.constructor( this.x, this.y, this.z );

	};

	this.copy = function ( v ) {

		this.x = v.x;
		this.y = v.y;
		this.z = v.z;

		return this;

	};

	this.add = function ( v, w ) {

		if ( w !== undefined ) {

			console.warn( '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;

	};

	this.addScalar = function ( s ) {

		this.x += s;
		this.y += s;
		this.z += s;

		return this;

	};

	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;

	};

	this.addScaledVector = function ( v, s ) {

		this.x += v.x * s;
		this.y += v.y * s;
		this.z += v.z * s;

		return this;

	};

	this.sub = function ( v, w ) {

		if ( w !== undefined ) {

			console.warn( '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;

	};

	this.subScalar = function ( s ) {

		this.x -= s;
		this.y -= s;
		this.z -= s;

		return this;

	};

	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;

	};

	this.multiply = function ( v, w ) {

		if ( w !== undefined ) {

			console.warn( '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;

	};

	this.multiplyScalar = function ( scalar ) {

		this.x *= scalar;
		this.y *= scalar;
		this.z *= scalar;

		return this;

	};

	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;

	};

    /*
	this.applyEuler = function () {

		var quaternion = new Quaternion();

		return function applyEuler( euler ) {

			if ( ! ( euler && euler.isEuler ) ) {

				console.error( 'Vector3: .applyEuler() now expects an Euler rotation rather than a Vector3 and order.' );

			}

			return this.applyQuaternion( quaternion.setFromEuler( euler ) );

		};

	}();

	this.applyAxisAngle = function () {

		var quaternion = new Quaternion();

		return function applyAxisAngle( axis, angle ) {

			return this.applyQuaternion( quaternion.setFromAxisAngle( axis, angle ) );

		};

	}();
    */

	this.applyMatrix3 = function ( m ) {

		var x = this.x, y = this.y, 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;

	};

	this.applyMatrix4 = function ( m ) {

		var x = this.x, y = this.y, z = this.z;
		var e = m.elements;

		var w = 1 / ( e[ 3 ] * x + e[ 7 ] * y + e[ 11 ] * z + e[ 15 ] );

		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;

		return this;

	};

	this.applyQuaternion = function ( q ) {

		var x = this.x, y = this.y, z = this.z;
		var qx = q.x, qy = q.y, qz = q.z, 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;

	};

	this.project = function ( camera ) {

        console.error( 'Vector3: .project() is not supported in modified version' );

		return this;

	};

	this.unproject = function ( camera ) {

		console.error( 'Vector3: .unproject() is not supported in modified version' );

        return this;

	};

	this.transformDirection = function ( m ) {

		// input: 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;

		return this.normalize();

	};

	this.divide = function ( v ) {

		this.x /= v.x;
		this.y /= v.y;
		this.z /= v.z;

		return this;

	};

	this.divideScalar = function ( scalar ) {

		return this.multiplyScalar( 1 / scalar );

	};

	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 );

		return this;

	};

	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;

	};

	this.clamp = function ( min, max ) {

		// assumes min < max, componentwise

		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;

	};

	this.clampScalar = function ( minVal, maxVal ) {

		this.x = Math.max( minVal, Math.min( maxVal, this.x ) );
		this.y = Math.max( minVal, Math.min( maxVal, this.y ) );
		this.z = Math.max( minVal, Math.min( maxVal, this.z ) );

		return this;

	};

	this.clampLength = function ( min, max ) {

		var length = this.length();

		return this.divideScalar( length || 1 ).multiplyScalar( Math.max( min, Math.min( max, length ) ) );

	};

	this.floor = function () {

		this.x = Math.floor( this.x );
		this.y = Math.floor( this.y );
		this.z = Math.floor( this.z );

		return this;

	};

	this.ceil = function () {

		this.x = Math.ceil( this.x );
		this.y = Math.ceil( this.y );
		this.z = Math.ceil( this.z );

		return this;

	};

	this.round = function () {

		this.x = Math.round( this.x );
		this.y = Math.round( this.y );
		this.z = Math.round( this.z );

		return this;

	};

	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;

	};

	this.negate = function () {

		this.x = - this.x;
		this.y = - this.y;
		this.z = - this.z;

		return this;

	};

	this.dot = function ( v ) {

		return this.x * v.x + this.y * v.y + this.z * v.z;

	};

	// TODO lengthSquared?

	this.lengthSq = function () {

		return this.x * this.x + this.y * this.y + this.z * this.z;

	};

	this.length = function () {

		return Math.sqrt( this.x * this.x + this.y * this.y + this.z * this.z );

	};

	this.manhattanLength = function () {

		return Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z );

	};

	this.normalize = function () {

		return this.divideScalar( this.length() || 1 );

	};

	this.setLength = function ( length ) {

		return this.normalize().multiplyScalar( length );

	};

	this.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;

	};

	this.lerpVectors = function ( v1, v2, alpha ) {

		return this.subVectors( v2, v1 ).multiplyScalar( alpha ).add( v1 );

	};

	this.cross = function ( v, w ) {

		if ( w !== undefined ) {

			console.warn( 'Vector3: .cross() now only accepts one argument. Use .crossVectors( a, b ) instead.' );
			return this.crossVectors( v, w );

		}

		return this.crossVectors( this, v );

	};

	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;

	};

	this.projectOnVector = function ( vector ) {

		var scalar = vector.dot( this ) / vector.lengthSq();

		return this.copy( vector ).multiplyScalar( scalar );

	};

    /*
	this.projectOnPlane = function () {

		var v1 = new Vector3();

		return function projectOnPlane( planeNormal ) {

			v1.copy( this ).projectOnVector( planeNormal );

			return this.sub( v1 );

		};

	}();
    */

    /*
	this.reflect = function () {

		// reflect incident vector off plane orthogonal to normal
		// normal is assumed to have unit length

		var v1 = new Vector3();

		return function reflect( normal ) {

			return this.sub( v1.copy( normal ).multiplyScalar( 2 * this.dot( normal ) ) );

		};

	}();
    */

	this.angleTo = function ( v ) {

		var theta = this.dot( v ) / ( Math.sqrt( this.lengthSq() * v.lengthSq() ) );

		// clamp, to handle numerical problems

		return Math.acos( _Math.clamp( theta, - 1, 1 ) );

	};

	this.distanceTo = function ( v ) {

		return Math.sqrt( this.distanceToSquared( v ) );

	};

	this.distanceToSquared = function ( v ) {

		var dx = this.x - v.x, dy = this.y - v.y, dz = this.z - v.z;

		return dx * dx + dy * dy + dz * dz;

	};

	this.manhattanDistanceTo = function ( v ) {

		return Math.abs( this.x - v.x ) + Math.abs( this.y - v.y ) + Math.abs( this.z - v.z );

	};

	this.setFromSpherical = function ( s ) {

		return this.setFromSphericalCoords( s.radius, s.phi, s.theta );

	};

	this.setFromSphericalCoords = function ( radius, phi, theta ) {

		var sinPhiRadius = Math.sin( phi ) * radius;

		this.x = sinPhiRadius * Math.sin( theta );
		this.y = Math.cos( phi ) * radius;
		this.z = sinPhiRadius * Math.cos( theta );

		return this;

	};

	this.setFromCylindrical = function ( c ) {

		console.error( 'Vector3: .setFromCylindrical() is not supported in modified version' );

        return this;

	};

	this.setFromCylindricalCoords = function ( radius, theta, y ) {

		this.x = radius * Math.sin( theta );
		this.y = y;
		this.z = radius * Math.cos( theta );

		return this;

	};

	this.setFromMatrixPosition = function ( m ) {

		var e = m.elements;

		this.x = e[ 12 ];
		this.y = e[ 13 ];
		this.z = e[ 14 ];

		return this;

	};

	this.setFromMatrixScale = function ( m ) {

		var sx = this.setFromMatrixColumn( m, 0 ).length();
		var sy = this.setFromMatrixColumn( m, 1 ).length();
		var sz = this.setFromMatrixColumn( m, 2 ).length();

		this.x = sx;
		this.y = sy;
		this.z = sz;

		return this;

	};

	this.setFromMatrixColumn = function ( m, index ) {

		return this.fromArray( m.elements, index * 4 );

	};

	this.equals = function ( v ) {

		return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) );

	};

	this.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;

	};

	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;

	};

	this.fromBufferAttribute = function ( attribute, index, offset ) {

		if ( offset !== undefined ) {

			console.warn( 'Vector3: offset has been removed from .fromBufferAttribute().' );

		}

		this.x = attribute.getX( index );
		this.y = attribute.getY( index );
		this.z = attribute.getZ( index );

		return this;

	};

};

////////////////////////////////////////////////////////////////////

THREE._Math = _Math;
THREE.Vector3 = Vector3;
THREE.Quaternion = Quaternion;