Vector3.js 12.4 KB
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import { _Math } from './Math';
import { Matrix4 } from './Matrix4';
import { Quaternion } from './Quaternion';

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/**
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 * @author mrdoob / http://mrdoob.com/
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 * @author *kile / http://kile.stravaganza.org/
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 * @author philogb / http://blog.thejit.org/
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 * @author mikael emtinger / http://gomo.se/
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 * @author egraether / http://egraether.com/
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 * @author WestLangley / http://github.com/WestLangley
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 */

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function Vector3( x, y, z ) {
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	this.x = x || 0;
	this.y = y || 0;
	this.z = z || 0;
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}
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Object.assign( Vector3.prototype, {
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	isVector3: true,

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	set: function ( x, y, z ) {
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		this.x = x;
		this.y = y;
		this.z = z;
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		return this;
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	},
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	setScalar: function ( scalar ) {

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

		return this;

	},

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	setX: function ( x ) {

		this.x = x;

		return this;

	},

	setY: function ( y ) {

		this.y = y;

		return this;

	},

	setZ: function ( z ) {

		this.z = z;

		return this;

	},

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	setComponent: function ( index, value ) {
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		switch ( index ) {
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			case 0: this.x = value; break;
			case 1: this.y = value; break;
			case 2: this.z = value; break;
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			default: throw new Error( 'index is out of range: ' + index );
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		}
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		return this;
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	},
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	getComponent: function ( index ) {
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		switch ( index ) {
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			case 0: return this.x;
			case 1: return this.y;
			case 2: return this.z;
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			default: throw new Error( 'index is out of range: ' + index );
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		}
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	},
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	clone: function () {

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

	},

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	copy: function ( v ) {
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		this.x = v.x;
		this.y = v.y;
		this.z = v.z;
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		return this;
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	},
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	add: function ( v, w ) {

		if ( w !== undefined ) {

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

		}
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		this.x += v.x;
		this.y += v.y;
		this.z += v.z;
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		return this;

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	},
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	addScalar: function ( s ) {
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		this.x += s;
		this.y += s;
		this.z += s;
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		return this;

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	},
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	addVectors: function ( a, b ) {
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		this.x = a.x + b.x;
		this.y = a.y + b.y;
		this.z = a.z + b.z;
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		return this;
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	},
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	addScaledVector: function ( v, s ) {

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		this.x += v.x * s;
		this.y += v.y * s;
		this.z += v.z * s;
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		return this;
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	},
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	sub: function ( v, w ) {

		if ( w !== undefined ) {

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

		}
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		this.x -= v.x;
		this.y -= v.y;
		this.z -= v.z;
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		return this;

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	},
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	subScalar: function ( s ) {

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

		return this;

	},
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	subVectors: function ( a, b ) {
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		this.x = a.x - b.x;
		this.y = a.y - b.y;
		this.z = a.z - b.z;
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		return this;
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	},
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	multiply: function ( v, w ) {

		if ( w !== undefined ) {

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

		}
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		this.x *= v.x;
		this.y *= v.y;
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		this.z *= v.z;
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		return this;

	},

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	multiplyScalar: function ( scalar ) {
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		this.x *= scalar;
		this.y *= scalar;
		this.z *= scalar;
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		return this;

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	},
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	multiplyVectors: function ( a, b ) {

		this.x = a.x * b.x;
		this.y = a.y * b.y;
		this.z = a.z * b.z;

		return this;

	},

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	applyEuler: function () {

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		var quaternion;
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		return function applyEuler( euler ) {
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			if ( ( euler && euler.isEuler ) === false ) {
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				console.error( 'THREE.Vector3: .applyEuler() now expects an Euler rotation rather than a Vector3 and order.' );
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			}

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

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

	}(),

	applyAxisAngle: function () {

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		var quaternion;
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		return function applyAxisAngle( axis, angle ) {
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			if ( quaternion === undefined ) quaternion = new Quaternion();

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

	}(),

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	applyMatrix3: function ( m ) {
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		var x = this.x, y = this.y, z = this.z;
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		var e = m.elements;

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		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;
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		return this;

	},

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	applyMatrix4: function ( m ) {
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		var x = this.x, y = this.y, z = this.z;
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		var e = m.elements;

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		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 ];
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		var w =  e[ 3 ] * x + e[ 7 ] * y + e[ 11 ] * z + e[ 15 ];
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		return this.divideScalar( w );
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	},

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	applyQuaternion: function ( q ) {
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		var x = this.x, y = this.y, z = this.z;
		var qx = q.x, qy = q.y, qz = q.z, qw = q.w;
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		// 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;
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		var iw = - qx * x - qy * y - qz * z;
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		// calculate result * inverse quat

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		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;
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		return this;

	},

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	project: function () {
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		var matrix;
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		return function project( camera ) {
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			if ( matrix === undefined ) matrix = new Matrix4();

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			matrix.multiplyMatrices( camera.projectionMatrix, matrix.getInverse( camera.matrixWorld ) );
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			return this.applyMatrix4( matrix );
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		};

	}(),

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	unproject: function () {
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		var matrix;
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		return function unproject( camera ) {
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			if ( matrix === undefined ) matrix = new Matrix4();

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			matrix.multiplyMatrices( camera.matrixWorld, matrix.getInverse( camera.projectionMatrix ) );
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			return this.applyMatrix4( matrix );
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		};

	}(),

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	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;

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		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;
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		return this.normalize();
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	},

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	divide: function ( v ) {
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		this.x /= v.x;
		this.y /= v.y;
		this.z /= v.z;

		return this;
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	},
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	divideScalar: function ( scalar ) {
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		return this.multiplyScalar( 1 / scalar );
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	},
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	min: function ( v ) {
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		this.x = Math.min( this.x, v.x );
		this.y = Math.min( this.y, v.y );
		this.z = Math.min( this.z, v.z );
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		return this;

	},

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	max: function ( v ) {
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		this.x = Math.max( this.x, v.x );
		this.y = Math.max( this.y, v.y );
		this.z = Math.max( this.z, v.z );
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		return this;

	},
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	clamp: function ( min, max ) {
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		// This function assumes min < max, if this assumption isn't true it will not operate correctly

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		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 ) );
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		return this;
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	},

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	clampScalar: function () {
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		var min, max;
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		return function clampScalar( minVal, maxVal ) {
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			if ( min === undefined ) {

				min = new Vector3();
				max = new Vector3();

			}

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			min.set( minVal, minVal, minVal );
			max.set( maxVal, maxVal, maxVal );

			return this.clamp( min, max );
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		};
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	}(),
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	clampLength: function ( min, max ) {
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		var length = this.length();
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		return this.multiplyScalar( Math.max( min, Math.min( max, length ) ) / length );
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	},
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	floor: function () {

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

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		return this;
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	},

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	ceil: function () {

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

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		return this;
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	},

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	round: function () {

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

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		return this;
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	},

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	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 );

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		return this;
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	},
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	negate: function () {
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		this.x = - this.x;
		this.y = - this.y;
		this.z = - this.z;

		return this;
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	},
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	dot: function ( v ) {
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		return this.x * v.x + this.y * v.y + this.z * v.z;
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	},
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	// TODO lengthSquared?

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	lengthSq: function () {
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		return this.x * this.x + this.y * this.y + this.z * this.z;
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	},

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	length: function () {
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		return Math.sqrt( this.x * this.x + this.y * this.y + this.z * this.z );
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	},
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	lengthManhattan: function () {
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		return Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z );
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	},

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	normalize: function () {
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		return this.divideScalar( this.length() );
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	},
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	setLength: function ( length ) {
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		return this.multiplyScalar( length / this.length() );
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	},
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	lerp: function ( v, alpha ) {
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		this.x += ( v.x - this.x ) * alpha;
		this.y += ( v.y - this.y ) * alpha;
		this.z += ( v.z - this.z ) * alpha;

		return this;

	},
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	lerpVectors: function ( v1, v2, alpha ) {

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

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	cross: function ( v, w ) {

		if ( w !== undefined ) {

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

		}
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		var x = this.x, y = this.y, z = this.z;
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		this.x = y * v.z - z * v.y;
		this.y = z * v.x - x * v.z;
		this.z = x * v.y - y * v.x;
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		return this;
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	},

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	crossVectors: function ( a, b ) {

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		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;
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		return this;

	},

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	projectOnVector: function ( vector ) {
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		var scalar = vector.dot( this ) / vector.lengthSq();
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		return this.copy( vector ).multiplyScalar( scalar );
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	},
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	projectOnPlane: function () {

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		var v1;
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		return function projectOnPlane( planeNormal ) {
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			if ( v1 === undefined ) v1 = new Vector3();

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

			return this.sub( v1 );

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		};
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	}(),

	reflect: function () {

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

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		var v1;
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		return function reflect( normal ) {
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			if ( v1 === undefined ) v1 = new Vector3();

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

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		};
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	}(),

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	angleTo: function ( v ) {
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		var theta = this.dot( v ) / ( Math.sqrt( this.lengthSq() * v.lengthSq() ) );
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		// clamp, to handle numerical problems

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		return Math.acos( _Math.clamp( theta, - 1, 1 ) );
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	},
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	distanceTo: function ( v ) {
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		return Math.sqrt( this.distanceToSquared( v ) );
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	},

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	distanceToSquared: function ( v ) {
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		var dx = this.x - v.x, dy = this.y - v.y, dz = this.z - v.z;
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		return dx * dx + dy * dy + dz * dz;
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	},
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	distanceToManhattan: function ( v ) {

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

	},

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	setFromSpherical: function ( s ) {
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		var sinPhiRadius = Math.sin( s.phi ) * s.radius;
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		this.x = sinPhiRadius * Math.sin( s.theta );
		this.y = Math.cos( s.phi ) * s.radius;
		this.z = sinPhiRadius * Math.cos( s.theta );

		return this;

	},

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	setFromCylindrical: function ( c ) {
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		this.x = c.radius * Math.sin( c.theta );
		this.y = c.y;
		this.z = c.radius * Math.cos( c.theta );

		return this;

	},

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	setFromMatrixPosition: function ( m ) {

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		return this.setFromMatrixColumn( m, 3 );
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	},

	setFromMatrixScale: function ( m ) {

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		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;
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		return this;
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	},

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	setFromMatrixColumn: function ( m, index ) {
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		return this.fromArray( m.elements, index * 4 );
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	},

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	equals: function ( v ) {
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		return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) );

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	},

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	fromArray: function ( array, offset ) {
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		if ( offset === undefined ) offset = 0;

		this.x = array[ offset ];
		this.y = array[ offset + 1 ];
		this.z = array[ offset + 2 ];
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		return this;

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	},

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	toArray: function ( array, offset ) {
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		if ( array === undefined ) array = [];
		if ( offset === undefined ) offset = 0;
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		array[ offset ] = this.x;
		array[ offset + 1 ] = this.y;
		array[ offset + 2 ] = this.z;
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		return array;
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	},

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	fromBufferAttribute: function ( attribute, index, offset ) {
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		if ( offset !== undefined ) {

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			console.warn( 'THREE.Vector3: offset has been removed from .fromBufferAttribute().' );
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		}
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		this.x = attribute.getX( index );
		this.y = attribute.getY( index );
		this.z = attribute.getZ( index );
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		return this;
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	}
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} );
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export { Vector3 };