three
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JavaScript 3D library
2,601 lines (1,535 loc) • 1.01 MB
JavaScript
var self = self || {};// File:src/Three.js
/**
* @author mrdoob / http://mrdoob.com/
*/
var THREE = { REVISION: '77' };
//
if ( typeof define === 'function' && define.amd ) {
define( 'three', THREE );
} else if ( 'undefined' !== typeof exports && 'undefined' !== typeof module ) {
module.exports = THREE;
}
// Polyfills
if ( Number.EPSILON === undefined ) {
Number.EPSILON = Math.pow( 2, - 52 );
}
//
if ( Math.sign === undefined ) {
// https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/sign
Math.sign = function ( x ) {
return ( x < 0 ) ? - 1 : ( x > 0 ) ? 1 : + x;
};
}
if ( Function.prototype.name === undefined ) {
// Missing in IE9-11.
// https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Function/name
Object.defineProperty( Function.prototype, 'name', {
get: function () {
return this.toString().match( /^\s*function\s*(\S*)\s*\(/ )[ 1 ];
}
} );
}
if ( Object.assign === undefined ) {
// Missing in IE.
// https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Object/assign
( function () {
Object.assign = function ( target ) {
'use strict';
if ( target === undefined || target === null ) {
throw new TypeError( 'Cannot convert undefined or null to object' );
}
var output = Object( target );
for ( var index = 1; index < arguments.length; index ++ ) {
var source = arguments[ index ];
if ( source !== undefined && source !== null ) {
for ( var nextKey in source ) {
if ( Object.prototype.hasOwnProperty.call( source, nextKey ) ) {
output[ nextKey ] = source[ nextKey ];
}
}
}
}
return output;
};
} )();
}
//
Object.assign( THREE, {
// https://developer.mozilla.org/en-US/docs/Web/API/MouseEvent.button
MOUSE: { LEFT: 0, MIDDLE: 1, RIGHT: 2 },
// GL STATE CONSTANTS
CullFaceNone: 0,
CullFaceBack: 1,
CullFaceFront: 2,
CullFaceFrontBack: 3,
FrontFaceDirectionCW: 0,
FrontFaceDirectionCCW: 1,
// SHADOWING TYPES
BasicShadowMap: 0,
PCFShadowMap: 1,
PCFSoftShadowMap: 2,
// MATERIAL CONSTANTS
// side
FrontSide: 0,
BackSide: 1,
DoubleSide: 2,
// shading
FlatShading: 1,
SmoothShading: 2,
// colors
NoColors: 0,
FaceColors: 1,
VertexColors: 2,
// blending modes
NoBlending: 0,
NormalBlending: 1,
AdditiveBlending: 2,
SubtractiveBlending: 3,
MultiplyBlending: 4,
CustomBlending: 5,
// custom blending equations
// (numbers start from 100 not to clash with other
// mappings to OpenGL constants defined in Texture.js)
AddEquation: 100,
SubtractEquation: 101,
ReverseSubtractEquation: 102,
MinEquation: 103,
MaxEquation: 104,
// custom blending destination factors
ZeroFactor: 200,
OneFactor: 201,
SrcColorFactor: 202,
OneMinusSrcColorFactor: 203,
SrcAlphaFactor: 204,
OneMinusSrcAlphaFactor: 205,
DstAlphaFactor: 206,
OneMinusDstAlphaFactor: 207,
// custom blending source factors
//ZeroFactor: 200,
//OneFactor: 201,
//SrcAlphaFactor: 204,
//OneMinusSrcAlphaFactor: 205,
//DstAlphaFactor: 206,
//OneMinusDstAlphaFactor: 207,
DstColorFactor: 208,
OneMinusDstColorFactor: 209,
SrcAlphaSaturateFactor: 210,
// depth modes
NeverDepth: 0,
AlwaysDepth: 1,
LessDepth: 2,
LessEqualDepth: 3,
EqualDepth: 4,
GreaterEqualDepth: 5,
GreaterDepth: 6,
NotEqualDepth: 7,
// TEXTURE CONSTANTS
MultiplyOperation: 0,
MixOperation: 1,
AddOperation: 2,
// Tone Mapping modes
NoToneMapping: 0, // do not do any tone mapping, not even exposure (required for special purpose passes.)
LinearToneMapping: 1, // only apply exposure.
ReinhardToneMapping: 2,
Uncharted2ToneMapping: 3, // John Hable
CineonToneMapping: 4, // optimized filmic operator by Jim Hejl and Richard Burgess-Dawson
// Mapping modes
UVMapping: 300,
CubeReflectionMapping: 301,
CubeRefractionMapping: 302,
EquirectangularReflectionMapping: 303,
EquirectangularRefractionMapping: 304,
SphericalReflectionMapping: 305,
CubeUVReflectionMapping: 306,
CubeUVRefractionMapping: 307,
// Wrapping modes
RepeatWrapping: 1000,
ClampToEdgeWrapping: 1001,
MirroredRepeatWrapping: 1002,
// Filters
NearestFilter: 1003,
NearestMipMapNearestFilter: 1004,
NearestMipMapLinearFilter: 1005,
LinearFilter: 1006,
LinearMipMapNearestFilter: 1007,
LinearMipMapLinearFilter: 1008,
// Data types
UnsignedByteType: 1009,
ByteType: 1010,
ShortType: 1011,
UnsignedShortType: 1012,
IntType: 1013,
UnsignedIntType: 1014,
FloatType: 1015,
HalfFloatType: 1025,
// Pixel types
//UnsignedByteType: 1009,
UnsignedShort4444Type: 1016,
UnsignedShort5551Type: 1017,
UnsignedShort565Type: 1018,
// Pixel formats
AlphaFormat: 1019,
RGBFormat: 1020,
RGBAFormat: 1021,
LuminanceFormat: 1022,
LuminanceAlphaFormat: 1023,
// THREE.RGBEFormat handled as THREE.RGBAFormat in shaders
RGBEFormat: THREE.RGBAFormat, //1024;
DepthFormat: 1026,
// DDS / ST3C Compressed texture formats
RGB_S3TC_DXT1_Format: 2001,
RGBA_S3TC_DXT1_Format: 2002,
RGBA_S3TC_DXT3_Format: 2003,
RGBA_S3TC_DXT5_Format: 2004,
// PVRTC compressed texture formats
RGB_PVRTC_4BPPV1_Format: 2100,
RGB_PVRTC_2BPPV1_Format: 2101,
RGBA_PVRTC_4BPPV1_Format: 2102,
RGBA_PVRTC_2BPPV1_Format: 2103,
// ETC compressed texture formats
RGB_ETC1_Format: 2151,
// Loop styles for AnimationAction
LoopOnce: 2200,
LoopRepeat: 2201,
LoopPingPong: 2202,
// Interpolation
InterpolateDiscrete: 2300,
InterpolateLinear: 2301,
InterpolateSmooth: 2302,
// Interpolant ending modes
ZeroCurvatureEnding: 2400,
ZeroSlopeEnding: 2401,
WrapAroundEnding: 2402,
// Triangle Draw modes
TrianglesDrawMode: 0,
TriangleStripDrawMode: 1,
TriangleFanDrawMode: 2,
// Texture Encodings
LinearEncoding: 3000, // No encoding at all.
sRGBEncoding: 3001,
GammaEncoding: 3007, // uses GAMMA_FACTOR, for backwards compatibility with WebGLRenderer.gammaInput/gammaOutput
// The following Texture Encodings are for RGB-only (no alpha) HDR light emission sources.
// These encodings should not specified as output encodings except in rare situations.
RGBEEncoding: 3002, // AKA Radiance.
LogLuvEncoding: 3003,
RGBM7Encoding: 3004,
RGBM16Encoding: 3005,
RGBDEncoding: 3006, // MaxRange is 256.
// Depth packing strategies
BasicDepthPacking: 3200, // for writing to float textures for high precision or for visualizing results in RGB buffers
RGBADepthPacking: 3201 // for packing into RGBA buffers.
} );
// File:src/math/Color.js
/**
* @author mrdoob / http://mrdoob.com/
*/
THREE.Color = function ( r, g, b ) {
if ( g === undefined && b === undefined ) {
// r is THREE.Color, hex or string
return this.set( r );
}
return this.setRGB( r, g, b );
};
THREE.Color.prototype = {
constructor: THREE.Color,
r: 1, g: 1, b: 1,
set: function ( value ) {
if ( value instanceof THREE.Color ) {
this.copy( value );
} else if ( typeof value === 'number' ) {
this.setHex( value );
} else if ( typeof value === 'string' ) {
this.setStyle( value );
}
return this;
},
setScalar: function ( scalar ) {
this.r = scalar;
this.g = scalar;
this.b = scalar;
},
setHex: function ( hex ) {
hex = Math.floor( hex );
this.r = ( hex >> 16 & 255 ) / 255;
this.g = ( hex >> 8 & 255 ) / 255;
this.b = ( hex & 255 ) / 255;
return this;
},
setRGB: function ( r, g, b ) {
this.r = r;
this.g = g;
this.b = b;
return this;
},
setHSL: function () {
function hue2rgb( p, q, t ) {
if ( t < 0 ) t += 1;
if ( t > 1 ) t -= 1;
if ( t < 1 / 6 ) return p + ( q - p ) * 6 * t;
if ( t < 1 / 2 ) return q;
if ( t < 2 / 3 ) return p + ( q - p ) * 6 * ( 2 / 3 - t );
return p;
}
return function ( h, s, l ) {
// h,s,l ranges are in 0.0 - 1.0
h = THREE.Math.euclideanModulo( h, 1 );
s = THREE.Math.clamp( s, 0, 1 );
l = THREE.Math.clamp( l, 0, 1 );
if ( s === 0 ) {
this.r = this.g = this.b = l;
} else {
var p = l <= 0.5 ? l * ( 1 + s ) : l + s - ( l * s );
var q = ( 2 * l ) - p;
this.r = hue2rgb( q, p, h + 1 / 3 );
this.g = hue2rgb( q, p, h );
this.b = hue2rgb( q, p, h - 1 / 3 );
}
return this;
};
}(),
setStyle: function ( style ) {
function handleAlpha( string ) {
if ( string === undefined ) return;
if ( parseFloat( string ) < 1 ) {
console.warn( 'THREE.Color: Alpha component of ' + style + ' will be ignored.' );
}
}
var m;
if ( m = /^((?:rgb|hsl)a?)\(\s*([^\)]*)\)/.exec( style ) ) {
// rgb / hsl
var color;
var name = m[ 1 ];
var components = m[ 2 ];
switch ( name ) {
case 'rgb':
case 'rgba':
if ( color = /^(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*(,\s*([0-9]*\.?[0-9]+)\s*)?$/.exec( components ) ) {
// rgb(255,0,0) rgba(255,0,0,0.5)
this.r = Math.min( 255, parseInt( color[ 1 ], 10 ) ) / 255;
this.g = Math.min( 255, parseInt( color[ 2 ], 10 ) ) / 255;
this.b = Math.min( 255, parseInt( color[ 3 ], 10 ) ) / 255;
handleAlpha( color[ 5 ] );
return this;
}
if ( color = /^(\d+)\%\s*,\s*(\d+)\%\s*,\s*(\d+)\%\s*(,\s*([0-9]*\.?[0-9]+)\s*)?$/.exec( components ) ) {
// rgb(100%,0%,0%) rgba(100%,0%,0%,0.5)
this.r = Math.min( 100, parseInt( color[ 1 ], 10 ) ) / 100;
this.g = Math.min( 100, parseInt( color[ 2 ], 10 ) ) / 100;
this.b = Math.min( 100, parseInt( color[ 3 ], 10 ) ) / 100;
handleAlpha( color[ 5 ] );
return this;
}
break;
case 'hsl':
case 'hsla':
if ( color = /^([0-9]*\.?[0-9]+)\s*,\s*(\d+)\%\s*,\s*(\d+)\%\s*(,\s*([0-9]*\.?[0-9]+)\s*)?$/.exec( components ) ) {
// hsl(120,50%,50%) hsla(120,50%,50%,0.5)
var h = parseFloat( color[ 1 ] ) / 360;
var s = parseInt( color[ 2 ], 10 ) / 100;
var l = parseInt( color[ 3 ], 10 ) / 100;
handleAlpha( color[ 5 ] );
return this.setHSL( h, s, l );
}
break;
}
} else if ( m = /^\#([A-Fa-f0-9]+)$/.exec( style ) ) {
// hex color
var hex = m[ 1 ];
var size = hex.length;
if ( size === 3 ) {
// #ff0
this.r = parseInt( hex.charAt( 0 ) + hex.charAt( 0 ), 16 ) / 255;
this.g = parseInt( hex.charAt( 1 ) + hex.charAt( 1 ), 16 ) / 255;
this.b = parseInt( hex.charAt( 2 ) + hex.charAt( 2 ), 16 ) / 255;
return this;
} else if ( size === 6 ) {
// #ff0000
this.r = parseInt( hex.charAt( 0 ) + hex.charAt( 1 ), 16 ) / 255;
this.g = parseInt( hex.charAt( 2 ) + hex.charAt( 3 ), 16 ) / 255;
this.b = parseInt( hex.charAt( 4 ) + hex.charAt( 5 ), 16 ) / 255;
return this;
}
}
if ( style && style.length > 0 ) {
// color keywords
var hex = THREE.ColorKeywords[ style ];
if ( hex !== undefined ) {
// red
this.setHex( hex );
} else {
// unknown color
console.warn( 'THREE.Color: Unknown color ' + style );
}
}
return this;
},
clone: function () {
return new this.constructor( this.r, this.g, this.b );
},
copy: function ( color ) {
this.r = color.r;
this.g = color.g;
this.b = color.b;
return this;
},
copyGammaToLinear: function ( color, gammaFactor ) {
if ( gammaFactor === undefined ) gammaFactor = 2.0;
this.r = Math.pow( color.r, gammaFactor );
this.g = Math.pow( color.g, gammaFactor );
this.b = Math.pow( color.b, gammaFactor );
return this;
},
copyLinearToGamma: function ( color, gammaFactor ) {
if ( gammaFactor === undefined ) gammaFactor = 2.0;
var safeInverse = ( gammaFactor > 0 ) ? ( 1.0 / gammaFactor ) : 1.0;
this.r = Math.pow( color.r, safeInverse );
this.g = Math.pow( color.g, safeInverse );
this.b = Math.pow( color.b, safeInverse );
return this;
},
convertGammaToLinear: function () {
var r = this.r, g = this.g, b = this.b;
this.r = r * r;
this.g = g * g;
this.b = b * b;
return this;
},
convertLinearToGamma: function () {
this.r = Math.sqrt( this.r );
this.g = Math.sqrt( this.g );
this.b = Math.sqrt( this.b );
return this;
},
getHex: function () {
return ( this.r * 255 ) << 16 ^ ( this.g * 255 ) << 8 ^ ( this.b * 255 ) << 0;
},
getHexString: function () {
return ( '000000' + this.getHex().toString( 16 ) ).slice( - 6 );
},
getHSL: function ( optionalTarget ) {
// h,s,l ranges are in 0.0 - 1.0
var hsl = optionalTarget || { h: 0, s: 0, l: 0 };
var r = this.r, g = this.g, b = this.b;
var max = Math.max( r, g, b );
var min = Math.min( r, g, b );
var hue, saturation;
var lightness = ( min + max ) / 2.0;
if ( min === max ) {
hue = 0;
saturation = 0;
} else {
var delta = max - min;
saturation = lightness <= 0.5 ? delta / ( max + min ) : delta / ( 2 - max - min );
switch ( max ) {
case r: hue = ( g - b ) / delta + ( g < b ? 6 : 0 ); break;
case g: hue = ( b - r ) / delta + 2; break;
case b: hue = ( r - g ) / delta + 4; break;
}
hue /= 6;
}
hsl.h = hue;
hsl.s = saturation;
hsl.l = lightness;
return hsl;
},
getStyle: function () {
return 'rgb(' + ( ( this.r * 255 ) | 0 ) + ',' + ( ( this.g * 255 ) | 0 ) + ',' + ( ( this.b * 255 ) | 0 ) + ')';
},
offsetHSL: function ( h, s, l ) {
var hsl = this.getHSL();
hsl.h += h; hsl.s += s; hsl.l += l;
this.setHSL( hsl.h, hsl.s, hsl.l );
return this;
},
add: function ( color ) {
this.r += color.r;
this.g += color.g;
this.b += color.b;
return this;
},
addColors: function ( color1, color2 ) {
this.r = color1.r + color2.r;
this.g = color1.g + color2.g;
this.b = color1.b + color2.b;
return this;
},
addScalar: function ( s ) {
this.r += s;
this.g += s;
this.b += s;
return this;
},
multiply: function ( color ) {
this.r *= color.r;
this.g *= color.g;
this.b *= color.b;
return this;
},
multiplyScalar: function ( s ) {
this.r *= s;
this.g *= s;
this.b *= s;
return this;
},
lerp: function ( color, alpha ) {
this.r += ( color.r - this.r ) * alpha;
this.g += ( color.g - this.g ) * alpha;
this.b += ( color.b - this.b ) * alpha;
return this;
},
equals: function ( c ) {
return ( c.r === this.r ) && ( c.g === this.g ) && ( c.b === this.b );
},
fromArray: function ( array, offset ) {
if ( offset === undefined ) offset = 0;
this.r = array[ offset ];
this.g = array[ offset + 1 ];
this.b = array[ offset + 2 ];
return this;
},
toArray: function ( array, offset ) {
if ( array === undefined ) array = [];
if ( offset === undefined ) offset = 0;
array[ offset ] = this.r;
array[ offset + 1 ] = this.g;
array[ offset + 2 ] = this.b;
return array;
}
};
THREE.ColorKeywords = { 'aliceblue': 0xF0F8FF, 'antiquewhite': 0xFAEBD7, 'aqua': 0x00FFFF, 'aquamarine': 0x7FFFD4, 'azure': 0xF0FFFF,
'beige': 0xF5F5DC, 'bisque': 0xFFE4C4, 'black': 0x000000, 'blanchedalmond': 0xFFEBCD, 'blue': 0x0000FF, 'blueviolet': 0x8A2BE2,
'brown': 0xA52A2A, 'burlywood': 0xDEB887, 'cadetblue': 0x5F9EA0, 'chartreuse': 0x7FFF00, 'chocolate': 0xD2691E, 'coral': 0xFF7F50,
'cornflowerblue': 0x6495ED, 'cornsilk': 0xFFF8DC, 'crimson': 0xDC143C, 'cyan': 0x00FFFF, 'darkblue': 0x00008B, 'darkcyan': 0x008B8B,
'darkgoldenrod': 0xB8860B, 'darkgray': 0xA9A9A9, 'darkgreen': 0x006400, 'darkgrey': 0xA9A9A9, 'darkkhaki': 0xBDB76B, 'darkmagenta': 0x8B008B,
'darkolivegreen': 0x556B2F, 'darkorange': 0xFF8C00, 'darkorchid': 0x9932CC, 'darkred': 0x8B0000, 'darksalmon': 0xE9967A, 'darkseagreen': 0x8FBC8F,
'darkslateblue': 0x483D8B, 'darkslategray': 0x2F4F4F, 'darkslategrey': 0x2F4F4F, 'darkturquoise': 0x00CED1, 'darkviolet': 0x9400D3,
'deeppink': 0xFF1493, 'deepskyblue': 0x00BFFF, 'dimgray': 0x696969, 'dimgrey': 0x696969, 'dodgerblue': 0x1E90FF, 'firebrick': 0xB22222,
'floralwhite': 0xFFFAF0, 'forestgreen': 0x228B22, 'fuchsia': 0xFF00FF, 'gainsboro': 0xDCDCDC, 'ghostwhite': 0xF8F8FF, 'gold': 0xFFD700,
'goldenrod': 0xDAA520, 'gray': 0x808080, 'green': 0x008000, 'greenyellow': 0xADFF2F, 'grey': 0x808080, 'honeydew': 0xF0FFF0, 'hotpink': 0xFF69B4,
'indianred': 0xCD5C5C, 'indigo': 0x4B0082, 'ivory': 0xFFFFF0, 'khaki': 0xF0E68C, 'lavender': 0xE6E6FA, 'lavenderblush': 0xFFF0F5, 'lawngreen': 0x7CFC00,
'lemonchiffon': 0xFFFACD, 'lightblue': 0xADD8E6, 'lightcoral': 0xF08080, 'lightcyan': 0xE0FFFF, 'lightgoldenrodyellow': 0xFAFAD2, 'lightgray': 0xD3D3D3,
'lightgreen': 0x90EE90, 'lightgrey': 0xD3D3D3, 'lightpink': 0xFFB6C1, 'lightsalmon': 0xFFA07A, 'lightseagreen': 0x20B2AA, 'lightskyblue': 0x87CEFA,
'lightslategray': 0x778899, 'lightslategrey': 0x778899, 'lightsteelblue': 0xB0C4DE, 'lightyellow': 0xFFFFE0, 'lime': 0x00FF00, 'limegreen': 0x32CD32,
'linen': 0xFAF0E6, 'magenta': 0xFF00FF, 'maroon': 0x800000, 'mediumaquamarine': 0x66CDAA, 'mediumblue': 0x0000CD, 'mediumorchid': 0xBA55D3,
'mediumpurple': 0x9370DB, 'mediumseagreen': 0x3CB371, 'mediumslateblue': 0x7B68EE, 'mediumspringgreen': 0x00FA9A, 'mediumturquoise': 0x48D1CC,
'mediumvioletred': 0xC71585, 'midnightblue': 0x191970, 'mintcream': 0xF5FFFA, 'mistyrose': 0xFFE4E1, 'moccasin': 0xFFE4B5, 'navajowhite': 0xFFDEAD,
'navy': 0x000080, 'oldlace': 0xFDF5E6, 'olive': 0x808000, 'olivedrab': 0x6B8E23, 'orange': 0xFFA500, 'orangered': 0xFF4500, 'orchid': 0xDA70D6,
'palegoldenrod': 0xEEE8AA, 'palegreen': 0x98FB98, 'paleturquoise': 0xAFEEEE, 'palevioletred': 0xDB7093, 'papayawhip': 0xFFEFD5, 'peachpuff': 0xFFDAB9,
'peru': 0xCD853F, 'pink': 0xFFC0CB, 'plum': 0xDDA0DD, 'powderblue': 0xB0E0E6, 'purple': 0x800080, 'red': 0xFF0000, 'rosybrown': 0xBC8F8F,
'royalblue': 0x4169E1, 'saddlebrown': 0x8B4513, 'salmon': 0xFA8072, 'sandybrown': 0xF4A460, 'seagreen': 0x2E8B57, 'seashell': 0xFFF5EE,
'sienna': 0xA0522D, 'silver': 0xC0C0C0, 'skyblue': 0x87CEEB, 'slateblue': 0x6A5ACD, 'slategray': 0x708090, 'slategrey': 0x708090, 'snow': 0xFFFAFA,
'springgreen': 0x00FF7F, 'steelblue': 0x4682B4, 'tan': 0xD2B48C, 'teal': 0x008080, 'thistle': 0xD8BFD8, 'tomato': 0xFF6347, 'turquoise': 0x40E0D0,
'violet': 0xEE82EE, 'wheat': 0xF5DEB3, 'white': 0xFFFFFF, 'whitesmoke': 0xF5F5F5, 'yellow': 0xFFFF00, 'yellowgreen': 0x9ACD32 };
// File:src/math/Quaternion.js
/**
* @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;
return this.normalize();
};
}(),
inverse: function () {
return this.conjugate().normalize();
},
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 );
},
premultiply: function ( q ) {
return this.multiplyQuaternions( q, 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;
this.onChangeCallback();
return 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 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 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 );
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 () {}
};
Object.assign( THREE.Quaternion, {
slerp: function( qa, qb, qm, t ) {
return qm.copy( qa ).slerp( qb, t );
},
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;
}
} );
// File:src/math/Vector2.js
/**
* @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;
},
setScalar: function ( scalar ) {
this.x = scalar;
this.y = scalar;
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();
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 );
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() );
},
angle: function () {
// computes the angle in radians with respect to the positive x-axis
var angle = Math.atan2( this.y, this.x );
if ( angle < 0 ) angle += 2 * Math.PI;
return angle;
},
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 ) {
return this.subVectors( v2, v1 ).multiplyScalar( alpha ).add( v1 );
},
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;
}
};
// File: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();
va