three.js/src/math/Vector3.js

/**
 * @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;

	},

	setScalar: function ( scalar ) {

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

		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 an Euler rotation rather than a Vector3 and order.' );

			}

			if ( quaternion === undefined ) quaternion = new THREE.Quaternion();

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

		};

	}(),

	applyAxisAngle: function () {

		var quaternion;

		return function applyAxisAngle( axis, angle ) {

			if ( quaternion === undefined ) quaternion = new THREE.Quaternion();

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

		};

	}(),

	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;

	},

	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, 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;

	},

	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;

		return this.normalize();

	},

	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();

		return this.multiplyScalar( Math.max( min, Math.min( max, length ) ) / length );

	},

	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 ) {

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

	},

	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 ) / ( Math.sqrt( this.lengthSq() * v.lengthSq() ) );

		// 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, dy = this.y - v.y, dz = this.z - v.z;

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

	},

	setFromSpherical: function( s ) {

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

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

		return this;

	},

	setFromMatrixPosition: function ( m ) {

		return this.setFromMatrixColumn( m, 3 );

	},

	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;

	},

	setFromMatrixColumn: function ( m, index ) {

		if ( typeof m === 'number' ) {

			console.warn( 'THREE.Vector3: setFromMatrixColumn now expects ( matrix, index ).' );

			m = arguments[ 1 ];
			index = arguments[ 0 ];

		}

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

	},

	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;

	}

};