node-red-contrib-leap-motion
Version:
Node-Red nodes for leap motion
2,842 lines (1,669 loc) • 855 kB
JavaScript
/**
* @author mrdoob / http://mrdoob.com/
* @author Larry Battle / http://bateru.com/news
* @author bhouston / http://exocortex.com
*/
var THREE = { REVISION: '67' };
self.console = self.console || {
info: function () {},
log: function () {},
debug: function () {},
warn: function () {},
error: function () {}
};
// http://paulirish.com/2011/requestanimationframe-for-smart-animating/
// http://my.opera.com/emoller/blog/2011/12/20/requestanimationframe-for-smart-er-animating
// requestAnimationFrame polyfill by Erik Möller
// fixes from Paul Irish and Tino Zijdel
// using 'self' instead of 'window' for compatibility with both NodeJS and IE10.
( function () {
var lastTime = 0;
var vendors = [ 'ms', 'moz', 'webkit', 'o' ];
for ( var x = 0; x < vendors.length && !self.requestAnimationFrame; ++ x ) {
self.requestAnimationFrame = self[ vendors[ x ] + 'RequestAnimationFrame' ];
self.cancelAnimationFrame = self[ vendors[ x ] + 'CancelAnimationFrame' ] || self[ vendors[ x ] + 'CancelRequestAnimationFrame' ];
}
if ( self.requestAnimationFrame === undefined && self['setTimeout'] !== undefined ) {
self.requestAnimationFrame = function ( callback ) {
var currTime = Date.now(), timeToCall = Math.max( 0, 16 - ( currTime - lastTime ) );
var id = self.setTimeout( function() { callback( currTime + timeToCall ); }, timeToCall );
lastTime = currTime + timeToCall;
return id;
};
}
if( self.cancelAnimationFrame === undefined && self['clearTimeout'] !== undefined ) {
self.cancelAnimationFrame = function ( id ) { self.clearTimeout( id ) };
}
}() );
// GL STATE CONSTANTS
THREE.CullFaceNone = 0;
THREE.CullFaceBack = 1;
THREE.CullFaceFront = 2;
THREE.CullFaceFrontBack = 3;
THREE.FrontFaceDirectionCW = 0;
THREE.FrontFaceDirectionCCW = 1;
// SHADOWING TYPES
THREE.BasicShadowMap = 0;
THREE.PCFShadowMap = 1;
THREE.PCFSoftShadowMap = 2;
// MATERIAL CONSTANTS
// side
THREE.FrontSide = 0;
THREE.BackSide = 1;
THREE.DoubleSide = 2;
// shading
THREE.NoShading = 0;
THREE.FlatShading = 1;
THREE.SmoothShading = 2;
// colors
THREE.NoColors = 0;
THREE.FaceColors = 1;
THREE.VertexColors = 2;
// blending modes
THREE.NoBlending = 0;
THREE.NormalBlending = 1;
THREE.AdditiveBlending = 2;
THREE.SubtractiveBlending = 3;
THREE.MultiplyBlending = 4;
THREE.CustomBlending = 5;
// custom blending equations
// (numbers start from 100 not to clash with other
// mappings to OpenGL constants defined in Texture.js)
THREE.AddEquation = 100;
THREE.SubtractEquation = 101;
THREE.ReverseSubtractEquation = 102;
// custom blending destination factors
THREE.ZeroFactor = 200;
THREE.OneFactor = 201;
THREE.SrcColorFactor = 202;
THREE.OneMinusSrcColorFactor = 203;
THREE.SrcAlphaFactor = 204;
THREE.OneMinusSrcAlphaFactor = 205;
THREE.DstAlphaFactor = 206;
THREE.OneMinusDstAlphaFactor = 207;
// custom blending source factors
//THREE.ZeroFactor = 200;
//THREE.OneFactor = 201;
//THREE.SrcAlphaFactor = 204;
//THREE.OneMinusSrcAlphaFactor = 205;
//THREE.DstAlphaFactor = 206;
//THREE.OneMinusDstAlphaFactor = 207;
THREE.DstColorFactor = 208;
THREE.OneMinusDstColorFactor = 209;
THREE.SrcAlphaSaturateFactor = 210;
// TEXTURE CONSTANTS
THREE.MultiplyOperation = 0;
THREE.MixOperation = 1;
THREE.AddOperation = 2;
// Mapping modes
THREE.UVMapping = function () {};
THREE.CubeReflectionMapping = function () {};
THREE.CubeRefractionMapping = function () {};
THREE.SphericalReflectionMapping = function () {};
THREE.SphericalRefractionMapping = function () {};
// Wrapping modes
THREE.RepeatWrapping = 1000;
THREE.ClampToEdgeWrapping = 1001;
THREE.MirroredRepeatWrapping = 1002;
// Filters
THREE.NearestFilter = 1003;
THREE.NearestMipMapNearestFilter = 1004;
THREE.NearestMipMapLinearFilter = 1005;
THREE.LinearFilter = 1006;
THREE.LinearMipMapNearestFilter = 1007;
THREE.LinearMipMapLinearFilter = 1008;
// Data types
THREE.UnsignedByteType = 1009;
THREE.ByteType = 1010;
THREE.ShortType = 1011;
THREE.UnsignedShortType = 1012;
THREE.IntType = 1013;
THREE.UnsignedIntType = 1014;
THREE.FloatType = 1015;
// Pixel types
//THREE.UnsignedByteType = 1009;
THREE.UnsignedShort4444Type = 1016;
THREE.UnsignedShort5551Type = 1017;
THREE.UnsignedShort565Type = 1018;
// Pixel formats
THREE.AlphaFormat = 1019;
THREE.RGBFormat = 1020;
THREE.RGBAFormat = 1021;
THREE.LuminanceFormat = 1022;
THREE.LuminanceAlphaFormat = 1023;
// Compressed texture formats
THREE.RGB_S3TC_DXT1_Format = 2001;
THREE.RGBA_S3TC_DXT1_Format = 2002;
THREE.RGBA_S3TC_DXT3_Format = 2003;
THREE.RGBA_S3TC_DXT5_Format = 2004;
/*
// Potential future PVRTC compressed texture formats
THREE.RGB_PVRTC_4BPPV1_Format = 2100;
THREE.RGB_PVRTC_2BPPV1_Format = 2101;
THREE.RGBA_PVRTC_4BPPV1_Format = 2102;
THREE.RGBA_PVRTC_2BPPV1_Format = 2103;
*/
/**
* @author mrdoob / http://mrdoob.com/
*/
THREE.Color = function ( color ) {
if ( arguments.length === 3 ) {
return this.setRGB( arguments[ 0 ], arguments[ 1 ], arguments[ 2 ] );
}
return this.set( color )
};
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;
},
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 ( h, s, l ) {
// h,s,l ranges are in 0.0 - 1.0
if ( s === 0 ) {
this.r = this.g = this.b = l;
} else {
var hue2rgb = function ( 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;
};
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 ) {
// rgb(255,0,0)
if ( /^rgb\((\d+), ?(\d+), ?(\d+)\)$/i.test( style ) ) {
var color = /^rgb\((\d+), ?(\d+), ?(\d+)\)$/i.exec( style );
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;
return this;
}
// rgb(100%,0%,0%)
if ( /^rgb\((\d+)\%, ?(\d+)\%, ?(\d+)\%\)$/i.test( style ) ) {
var color = /^rgb\((\d+)\%, ?(\d+)\%, ?(\d+)\%\)$/i.exec( style );
this.r = Math.min( 100, parseInt( color[ 1 ], 10 ) ) / 100;
this.g = Math.min( 100, parseInt( color[ 2 ], 10 ) ) / 100;
this.b = Math.min( 100, parseInt( color[ 3 ], 10 ) ) / 100;
return this;
}
// #ff0000
if ( /^\#([0-9a-f]{6})$/i.test( style ) ) {
var color = /^\#([0-9a-f]{6})$/i.exec( style );
this.setHex( parseInt( color[ 1 ], 16 ) );
return this;
}
// #f00
if ( /^\#([0-9a-f])([0-9a-f])([0-9a-f])$/i.test( style ) ) {
var color = /^\#([0-9a-f])([0-9a-f])([0-9a-f])$/i.exec( style );
this.setHex( parseInt( color[ 1 ] + color[ 1 ] + color[ 2 ] + color[ 2 ] + color[ 3 ] + color[ 3 ], 16 ) );
return this;
}
// red
if ( /^(\w+)$/i.test( style ) ) {
this.setHex( THREE.ColorKeywords[ style ] );
return this;
}
},
copy: function ( color ) {
this.r = color.r;
this.g = color.g;
this.b = color.b;
return this;
},
copyGammaToLinear: function ( color ) {
this.r = color.r * color.r;
this.g = color.g * color.g;
this.b = color.b * color.b;
return this;
},
copyLinearToGamma: function ( color ) {
this.r = Math.sqrt( color.r );
this.g = Math.sqrt( color.g );
this.b = Math.sqrt( color.b );
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 ) {
this.r = array[ 0 ];
this.g = array[ 1 ];
this.b = array[ 2 ];
return this;
},
toArray: function () {
return [ this.r, this.g, this.b ];
},
clone: function () {
return new THREE.Color().setRGB( this.r, this.g, this.b );
}
};
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 };
/**
* @author mikael emtinger / http://gomo.se/
* @author alteredq / http://alteredqualia.com/
* @author WestLangley / http://github.com/WestLangley
* @author bhouston / http://exocortex.com
*/
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,
_x: 0,_y: 0, _z: 0, _w: 0,
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;
},
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( 'ERROR: Quaternion\'s .setFromEuler() now expects a Euler rotation rather than a Vector3 and order. Please update your code.' );
}
// 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 );
if ( euler.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 ( euler.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 ( euler.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 ( euler.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 ( euler.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 ( euler.order === 'XZY' ) {
this._x = s1 * c2 * c3 - c1 * s2 * s3;
this._y = c1 * s2 * c3 - s1 * c2 * s3;
this._z = c1 * c2 * s3 + s1 * s2 * c3;
this._w = c1 * c2 * c3 + s1 * s2 * s3;
}
if ( update !== false ) this.onChangeCallback();
return this;
},
setFromAxisAngle: function ( axis, angle ) {
// http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToQuaternion/index.htm
// assumes axis is normalized
var halfAngle = angle / 2, s = Math.sin( halfAngle );
this._x = axis.x * s;
this._y = axis.y * s;
this._z = axis.z * s;
this._w = Math.cos( halfAngle );
this.onChangeCallback();
return this;
},
setFromRotationMatrix: function ( m ) {
// http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm
// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
var te = m.elements,
m11 = te[0], m12 = te[4], m13 = te[8],
m21 = te[1], m22 = te[5], m23 = te[9],
m31 = te[2], m32 = te[6], m33 = te[10],
trace = m11 + m22 + m33,
s;
if ( trace > 0 ) {
s = 0.5 / Math.sqrt( trace + 1.0 );
this._w = 0.25 / s;
this._x = ( m32 - m23 ) * s;
this._y = ( m13 - m31 ) * s;
this._z = ( m21 - m12 ) * s;
} else if ( m11 > m22 && m11 > m33 ) {
s = 2.0 * Math.sqrt( 1.0 + m11 - m22 - m33 );
this._w = (m32 - m23 ) / s;
this._x = 0.25 * s;
this._y = (m12 + m21 ) / s;
this._z = (m13 + m31 ) / s;
} else if ( m22 > m33 ) {
s = 2.0 * Math.sqrt( 1.0 + m22 - m11 - m33 );
this._w = (m13 - m31 ) / s;
this._x = (m12 + m21 ) / s;
this._y = 0.25 * s;
this._z = (m23 + m32 ) / s;
} else {
s = 2.0 * Math.sqrt( 1.0 + m33 - m11 - m22 );
this._w = ( m21 - m12 ) / s;
this._x = ( m13 + m31 ) / s;
this._y = ( m23 + m32 ) / s;
this._z = 0.25 * s;
}
this.onChangeCallback();
return this;
},
setFromUnitVectors: function () {
// http://lolengine.net/blog/2014/02/24/quaternion-from-two-vectors-final
// assumes direction vectors vFrom and vTo are normalized
var v1, r;
var EPS = 0.000001;
return function( vFrom, vTo ) {
if ( v1 === undefined ) v1 = new THREE.Vector3();
r = vFrom.dot( vTo ) + 1;
if ( r < EPS ) {
r = 0;
if ( Math.abs( vFrom.x ) > Math.abs( vFrom.z ) ) {
v1.set( - vFrom.y, vFrom.x, 0 );
} else {
v1.set( 0, - vFrom.z, vFrom.y );
}
} else {
v1.crossVectors( vFrom, vTo );
}
this._x = v1.x;
this._y = v1.y;
this._z = v1.z;
this._w = r;
this.normalize();
return this;
}
}(),
inverse: function () {
this.conjugate().normalize();
return this;
},
conjugate: function () {
this._x *= -1;
this._y *= -1;
this._z *= -1;
this.onChangeCallback();
return this;
},
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( 'DEPRECATED: Quaternion\'s .multiply() now only accepts one argument. Use .multiplyQuaternions( a, b ) instead.' );
return this.multiplyQuaternions( q, p );
}
return this.multiplyQuaternions( this, q );
},
multiplyQuaternions: function ( a, b ) {
// from http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/code/index.htm
var qax = a._x, qay = a._y, qaz = a._z, qaw = a._w;
var qbx = b._x, qby = b._y, qbz = b._z, qbw = b._w;
this._x = qax * qbw + qaw * qbx + qay * qbz - qaz * qby;
this._y = qay * qbw + qaw * qby + qaz * qbx - qax * qbz;
this._z = qaz * qbw + qaw * qbz + qax * qby - qay * qbx;
this._w = qaw * qbw - qax * qbx - qay * qby - qaz * qbz;
this.onChangeCallback();
return this;
},
multiplyVector3: function ( vector ) {
console.warn( 'DEPRECATED: Quaternion\'s .multiplyVector3() has been removed. Use is now vector.applyQuaternion( quaternion ) instead.' );
return vector.applyQuaternion( this );
},
slerp: function ( qb, t ) {
var x = this._x, y = this._y, z = this._z, w = this._w;
// http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/slerp/
var cosHalfTheta = w * qb._w + x * qb._x + y * qb._y + z * qb._z;
if ( cosHalfTheta < 0 ) {
this._w = -qb._w;
this._x = -qb._x;
this._y = -qb._y;
this._z = -qb._z;
cosHalfTheta = -cosHalfTheta;
} else {
this.copy( qb );
}
if ( cosHalfTheta >= 1.0 ) {
this._w = w;
this._x = x;
this._y = y;
this._z = z;
return this;
}
var halfTheta = Math.acos( cosHalfTheta );
var sinHalfTheta = Math.sqrt( 1.0 - cosHalfTheta * cosHalfTheta );
if ( Math.abs( sinHalfTheta ) < 0.001 ) {
this._w = 0.5 * ( w + this._w );
this._x = 0.5 * ( x + this._x );
this._y = 0.5 * ( y + this._y );
this._z = 0.5 * ( z + this._z );
return this;
}
var ratioA = Math.sin( ( 1 - t ) * halfTheta ) / sinHalfTheta,
ratioB = Math.sin( t * halfTheta ) / sinHalfTheta;
this._w = ( w * ratioA + this._w * ratioB );
this._x = ( x * ratioA + this._x * ratioB );
this._y = ( y * ratioA + this._y * ratioB );
this._z = ( z * ratioA + this._z * ratioB );
this.onChangeCallback();
return this;
},
equals: function ( quaternion ) {
return ( quaternion._x === this._x ) && ( quaternion._y === this._y ) && ( quaternion._z === this._z ) && ( quaternion._w === this._w );
},
fromArray: function ( array ) {
this._x = array[ 0 ];
this._y = array[ 1 ];
this._z = array[ 2 ];
this._w = array[ 3 ];
this.onChangeCallback();
return this;
},
toArray: function () {
return [ this._x, this._y, this._z, this._w ];
},
onChange: function ( callback ) {
this.onChangeCallback = callback;
return this;
},
onChangeCallback: function () {},
clone: function () {
return new THREE.Quaternion( this._x, this._y, this._z, this._w );
}
};
THREE.Quaternion.slerp = function ( qa, qb, qm, t ) {
return qm.copy( qa ).slerp( qb, t );
}
/**
* @author mrdoob / http://mrdoob.com/
* @author philogb / http://blog.thejit.org/
* @author egraether / http://egraether.com/
* @author zz85 / http://www.lab4games.net/zz85/blog
*/
THREE.Vector2 = function ( x, y ) {
this.x = x || 0;
this.y = y || 0;
};
THREE.Vector2.prototype = {
constructor: THREE.Vector2,
set: function ( x, y ) {
this.x = x;
this.y = y;
return this;
},
setX: function ( x ) {
this.x = x;
return this;
},
setY: function ( y ) {
this.y = y;
return this;
},
setComponent: function ( index, value ) {
switch ( index ) {
case 0: this.x = value; break;
case 1: this.y = value; break;
default: throw new Error( "index is out of range: " + index );
}
},
getComponent: function ( index ) {
switch ( index ) {
case 0: return this.x;
case 1: return this.y;
default: throw new Error( "index is out of range: " + index );
}
},
copy: function ( v ) {
this.x = v.x;
this.y = v.y;
return this;
},
add: function ( v, w ) {
if ( w !== undefined ) {
console.warn( 'DEPRECATED: Vector2\'s .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;
},
addVectors: function ( a, b ) {
this.x = a.x + b.x;
this.y = a.y + b.y;
return this;
},
addScalar: function ( s ) {
this.x += s;
this.y += s;
return this;
},
sub: function ( v, w ) {
if ( w !== undefined ) {
console.warn( 'DEPRECATED: Vector2\'s .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;
},
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 ( s ) {
this.x *= s;
this.y *= s;
return this;
},
divide: function ( v ) {
this.x /= v.x;
this.y /= v.y;
return this;
},
divideScalar: function ( scalar ) {
if ( scalar !== 0 ) {
var invScalar = 1 / scalar;
this.x *= invScalar;
this.y *= invScalar;
} else {
this.x = 0;
this.y = 0;
}
return this;
},
min: function ( v ) {
if ( this.x > v.x ) {
this.x = v.x;
}
if ( this.y > v.y ) {
this.y = v.y;
}
return this;
},
max: function ( v ) {
if ( this.x < v.x ) {
this.x = v.x;
}
if ( this.y < v.y ) {
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
if ( this.x < min.x ) {
this.x = min.x;
} else if ( this.x > max.x ) {
this.x = max.x;
}
if ( this.y < min.y ) {
this.y = min.y;
} else if ( this.y > max.y ) {
this.y = max.y;
}
return this;
},
clampScalar: ( function () {
var min, max;
return function ( 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 );
};
} )(),
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 () {
return this.multiplyScalar( - 1 );
},
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 );
},
normalize: function () {
return this.divideScalar( this.length() );
},
distanceTo: function ( v ) {
return Math.sqrt( this.distanceToSquared( v ) );
},
distanceToSquared: function ( v ) {
var dx = this.x - v.x, dy = this.y - v.y;
return dx * dx + dy * dy;
},
setLength: function ( l ) {
var oldLength = this.length();
if ( oldLength !== 0 && l !== oldLength ) {
this.multiplyScalar( l / oldLength );
}
return this;
},
lerp: function ( v, alpha ) {
this.x += ( v.x - this.x ) * alpha;
this.y += ( v.y - this.y ) * alpha;
return this;
},
equals: function( v ) {
return ( ( v.x === this.x ) && ( v.y === this.y ) );
},
fromArray: function ( array ) {
this.x = array[ 0 ];
this.y = array[ 1 ];
return this;
},
toArray: function () {
return [ this.x, this.y ];
},
clone: function () {
return new THREE.Vector2( this.x, this.y );
}
};
/**
* @author mrdoob / http://mrdoob.com/
* @author *kile / http://kile.stravaganza.org/
* @author philogb / http://blog.thejit.org/
* @author mikael emtinger / http://gomo.se/
* @author egraether / http://egraether.com/
* @author WestLangley / http://github.com/WestLangley
*/
THREE.Vector3 = function ( x, y, z ) {
this.x = x || 0;
this.y = y || 0;
this.z = z || 0;
};
THREE.Vector3.prototype = {
constructor: THREE.Vector3,
set: function ( x, y, z ) {
this.x = x;
this.y = y;
this.z = z;
return this;
},
setX: function ( x ) {
this.x = x;
return this;
},
setY: function ( y ) {
this.y = y;
return this;
},
setZ: function ( z ) {
this.z = z;
return this;
},
setComponent: function ( index, value ) {
switch ( index ) {
case 0: this.x = value; break;
case 1: this.y = value; break;
case 2: this.z = value; break;
default: throw new Error( "index is out of range: " + index );
}
},
getComponent: function ( index ) {
switch ( index ) {
case 0: return this.x;
case 1: return this.y;
case 2: return this.z;
default: throw new Error( "index is out of range: " + index );
}
},
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( 'DEPRECATED: Vector3\'s .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;
},
sub: function ( v, w ) {
if ( w !== undefined ) {
console.warn( 'DEPRECATED: Vector3\'s .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;
},
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( 'DEPRECATED: Vector3\'s .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 ) {
this.x *= scalar;
this.y *= scalar;
this.z *= scalar;
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 ( euler ) {
if ( euler instanceof THREE.Euler === false ) {
console.error( 'ERROR: Vector3\'s .applyEuler() now expects a Euler rotation rather than a Vector3 and order. Please update your code.' );
}
if ( quaternion === undefined ) quaternion = new THREE.Quaternion();
this.applyQuaternion( quaternion.setFromEuler( euler ) );
return this;
};
}(),
applyAxisAngle: function () {
var quaternion;
return function ( axis, angle ) {
if ( quaternion === undefined ) quaternion = new THREE.Quaternion();
this.applyQuaternion( quaternion.setFromAxisAngle( axis, angle ) );
return this;
};
}(),
applyMatrix3: function ( m ) {
var x = this.x;
var y = this.y;
var z = this.z;
var e = m.elements;
this.x = e[0] * x + e[3] * y + e[6] * z;
this.y = e[1] * x + e[4] * y + e[7] * z;
this.z = e[2] * x + e[5] * y + e[8] * z;
return this;
},
applyMatrix4: function ( m ) {
// input: THREE.Matrix4 affine matrix
var x = this.x, y = this.y, z = this.z;
var e = m.elements;
this.x = e[0] * x + e[4] * y + e[8] * z + e[12];
this.y = e[1] * x + e[5] * y + e[9] * z + e[13];
this.z = e[2] * x + e[6] * y + e[10] * z + e[14];
return this;
},
applyProjection: function ( m ) {
// input: THREE.Matrix4 projection matrix
var x = this.x, y = this.y, z = this.z;
var e = m.elements;
var d = 1 / ( e[3] * x + e[7] * y + e[11] * z + e[15] ); // perspective divide
this.x = ( e[0] * x + e[4] * y + e[8] * z + e[12] ) * d;
this.y = ( e[1] * x + e[5] * y + e[9] * z + e[13] ) * d;
this.z = ( e[2] * x + e[6] * y + e[10] * z + e[14] ) * d;
return this;
},
applyQuaternion: function ( q ) {
var x = this.x;
var y = this.y;
var z = this.z;
var qx = q.x;
var qy = q.y;
var qz = q.z;
var qw = q.w;
// calculate quat * vector
var ix = qw * x + qy * z - qz * y;
var iy = qw * y + qz * x - qx * z;
var iz = qw * z + qx * y - qy * x;
var iw = -qx * x - qy * y - qz * z;
// calculate result * inverse quat
this.x = ix * qw + iw * -qx + iy * -qz - iz * -qy;
this.y = iy * qw + iw * -qy + iz * -qx - ix * -qz;
this.z = iz * qw + iw * -qz + ix * -qy - iy * -qx;
return this;
},
transformDirection: function ( m ) {
// input: THREE.Matrix4 affine matrix
// vector interpreted as a direction
var x = this.x, y = this.y, z = this.z;
var e = m.elements;
this.x = e[0] * x + e[4] * y + e[8] * z;
this.y = e[1] * x + e[5] * y + e[9] * z;
this.z = e[2] * x + e[6] * y + e[10] * z;
this.normalize();
return this;
},
divide: function ( v ) {
this.x /= v.x;
this.y /= v.y;
this.z /= v.z;
return this;
},
divideScalar: function ( scalar ) {
if ( scalar !== 0 ) {
var invScalar = 1 / scalar;
this.x *= invScalar;
this.y *= invScalar;
this.z *= invScalar;
} else {
this.x = 0;
this.y = 0;
this.z = 0;
}
return this;
},
min: function ( v ) {
if ( this.x > v.x ) {
this.x = v.x;
}
if ( this.y > v.y ) {
this.y = v.y;
}
if ( this.z > v.z ) {
this.z = v.z;
}
return this;
},
max: function ( v ) {
if ( this.x < v.x ) {
this.x = v.x;
}
if ( this.y < v.y ) {
this.y = v.y;
}
if ( this.z < v.z ) {
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
if ( this.x < min.x ) {
this.x = min.x;
} else if ( this.x > max.x ) {
this.x = max.x;
}
if ( this.y < min.y ) {
this.y = min.y;
} else if ( this.y > max.y ) {
this.y = max.y;
}
if ( this.z < min.z ) {
this.z = min.z;
} else if ( this.z > max.z ) {
this.z = max.z;
}
return this;
},
clampScalar: ( function () {
var min, max;
return function ( 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 );
};
} )(),
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 () {
return this.multiplyScalar( - 1 );
},
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 ( l ) {
var oldLength = this.length();
if ( oldLength !== 0 && l !== oldLength ) {
this.multiplyScalar( l / oldLength );
}
return 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;
},
cross: function ( v, w ) {
if ( w !== undefined ) {
console.warn( 'DEPRECATED: Vector3\'s .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 ( 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 ( 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 ( normal ) {
if ( v1 === undefined ) v1 = new THREE.Vector3();
return this.sub( v1.copy( normal ).multiplyScalar( 2 * this.dot( normal ) ) );
}
}(),
angleTo: function ( v ) {
var theta = this.dot( v ) / ( this.length() * v.length() );
// clamp, to handle numerical problems
return Math.acos( THREE.Math.clamp( theta, -1, 1 ) );
},
distanceTo: function ( v ) {
return Math.sqrt( this.distanceToSquared( v ) );
},
distanceToSquared: function ( v ) {
var dx = this.x - v.x;
var dy = this.y - v.y;
var dz = this.z - v.z;
return dx * dx + dy * dy + dz * dz;
},
setEulerFromRotationMatrix: function ( m, order ) {
console.error( "REMOVED: Vector3\'s setEulerFromRotationMatrix has been removed in favor of Euler.setFromRotationMatrix(), please update your code.");
},
setEulerFromQuaternion: function ( q, order ) {
console.error( "REMOVED: Vector3\'s setEulerFromQuaternion: has been removed in favor of Euler.setFromQuaternion(), please update your code.");
},
getPositionFromMatrix: function ( m ) {
console.warn( "DEPRECATED: Vector3\'s .getPositionFromMatrix() has been renamed to .setFromMatrixPosition(). Please update your code." );
return this.setFromMatrixPosition( m );
},
getScaleFromMatrix: function ( m ) {
console.warn( "DEPRECATED: Vector3\'s .getScaleFromMatrix() has been renamed to .setFromMatrixScale(). Please update your code." );
return this.setFromMatrixScale( m );
},
getColumnFromMatrix: function ( index, matrix ) {
console.warn( "DEPRECATED: Vector3\'s .getColumnFromMatrix() has been renamed to .setFromMatrixColumn(). Please update your code." );
return this.setFromMatrixColumn( index, matrix );
},
setFromMatrixPosition: function ( m ) {
this.x = m.elements[ 12 ];
this.y = m.elements[ 13 ];
this.z = m.elements[ 14 ];
return this;
},
setFromMatrixScale: function ( m ) {
var sx = this.set( m.elements[ 0 ], m.elements[ 1 ], m.elements[ 2 ] ).length();
var sy = this.set( m.elements[ 4 ], m.elements[ 5 ], m.elements[ 6 ] ).length();
var sz = this.set( m.elements[ 8 ], m.elements[ 9 ], m.elements[ 10 ] ).length();
this.x = sx;
this.y = sy;
this.z = sz;
return this;
},
setFromMatrixColumn: function ( index, matrix ) {
var offset = index * 4;
var me = matrix.elements;
this.x = me[ offset ];
this.y = me[ offset + 1 ];
this.z = me[ offset + 2 ];
return this;
},
equals: function ( v ) {
return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) );
},
fromArray: function ( array ) {
this.x = array[ 0 ];
this.y = array[ 1 ];
this.z = array[ 2 ];
return this;
},
toArray: function () {
return [ this.x, this.y, this.z ];
},
clone: function () {
return new THREE.Vector3( this.x, this.y, this.z );
}
};
/**
* @author supereggbert / http://www.paulbrunt.co.uk/
* @author philogb / http://blog.thejit.org/
* @author mikael emtinger / http://gomo.se/
* @author egraether / http://egraether.com/
* @author WestLangley / http://github.com/WestLangley
*/
THREE.Vector4 = function ( x, y, z, w ) {
this.x = x || 0;
this.y = y || 0;
this.z = z || 0;
this.w = ( w !== undefined ) ? w : 1;
};
THREE.Vector4.prototype = {
constructor: THREE.Vector4,
set: function ( x, y, z, w ) {
this.x = x;
this.y = y;
this.z = z;
this.w = w;
return this;
},
setX: function ( x ) {
this.x = x;
return this;
},
setY: function ( y ) {
this.y = y;
return this;
},
setZ: function ( z ) {
this.z = z;
return this;
},
setW: function ( w ) {
this.w = w;
return this;
},
setComponent: function ( index, value ) {
switch ( index ) {
case 0: this.x = value; break;
case 1: this.y = value; break;
case 2: this.z = value; break;
case 3: this.w = value; break;
default: throw new Error( "index is out of range: " + index );
}
},
getComponent: function ( index ) {
switch ( index ) {
case 0: return this.x;
case 1: return this.y;
case 2: return this.z;
case 3: return this.w;
default: throw new Error( "index is out of range: " + index );
}
},
copy: function ( v ) {
this.x = v.x;
this.y = v.y;
this.z = v.z;
this.w = ( v.w !== undefined ) ? v.w : 1;
return this;
},
add: function ( v, w ) {
if ( w !== undefined ) {
console.warn( 'DEPRECATED: Vector4\'s .add() now only accepts one argument. Use .addVectors( a, b ) instead.' );
return this.addVectors( v, w );
}
this.x += v.x;
this.y += v.y;
this.z += v.z;
this.w += v.w;
return this;
},
addScalar: function ( s ) {
this.x += s;
this.y += s;
this.z += s;
this.w += s;
return this;
},
addVectors: function ( a, b ) {
this.x = a.x + b.x;
this.y = a.y + b.y;
this.z = a.z + b.z;
this.w = a.w + b.w;
return this;
},
sub: function ( v, w ) {
if ( w !== undefined ) {
console.warn( 'DEPRECATED: Vector4\'s .sub() now only accepts one argument. Use .subVectors( a, b ) instead.' );
return this.subVectors( v, w );
}
this.x -= v.x;
this.y -= v.y;
this.z -= v.z;
this.w -= v.w;
return this;
},
subVectors: function ( a, b ) {
this.x = a.x - b.x;
this.y = a.y - b.y;
this.z = a.z - b.z;
this.w = a.w - b.w;
return this;
},
multiplyScalar: function ( scalar ) {
this.x *= scalar;
this.y *= scalar;
this.z *= scalar;
this.w *= scalar;
return this;
},
applyMatrix4: function ( m ) {
var x = this.x;
var y = this.y;
var z = this.z;
var w = this.w;
var e = m.elements;
this.x = e[0] * x + e[4] * y + e[8] * z + e[12] * w;
this.y = e[1] * x + e[5] * y + e[9] * z + e[13] * w;
this.z = e[2] * x + e[6] * y + e[10] * z + e[14] * w;
this.w = e[3] * x + e[7] * y + e[11] * z + e[15] * w;
return this;
},
divideScalar: function ( scalar ) {
if ( scalar !== 0 ) {
var invScalar = 1 / scalar;
this.x *= invScalar;
this.y *= invScalar;
this.z *= invScalar;
this.w *= invScalar;
} else {
this.x = 0;
this.y = 0;
this.z = 0;
this.w = 1;
}
return this;
},
setAxisAngleFromQuaternion: function ( q ) {
// http://www.euclideanspace.com/maths/geometry/rotations/conversions/quaternionToAngle/index.htm
// q is assumed to be normalized
this.w = 2 * Math.acos( q.w );
var s = Math.sqrt( 1 - q.w * q.w );
if ( s < 0.0001 ) {
this.x = 1;
this.y = 0;
this.z = 0;
} else {
this.x = q.x / s;
this.y = q.y / s;
this.z = q.z / s;
}
return this;
},
setAxisAngleFromRotationMatrix: function ( m ) {
// http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToAngle/index.htm
// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
var angle, x, y, z, // variables for result
epsilon = 0.01, // margin to allow for rounding errors
epsilon2 = 0.1, // margin to distinguish between 0 and 180 degrees
te = m.elements,
m11 = te[0], m12 = te[4], m13 = te[8],
m21 = te[1], m22 = te[5], m23 = te[9],
m31 = te[2], m32 = te[6], m33 = te[10];
if ( ( Math.abs( m12 - m21 ) < epsilon )
&& ( Math.abs( m13 - m31 ) < epsilon )
&& ( Math.abs( m23 - m32 ) < epsilon ) ) {
// singularity found
// first check for identity matrix which must have +1 for all terms
// in leading diagonal and zero in other terms
if ( ( Math.abs( m12 + m21 ) < epsilon2 )
&& ( Math.abs( m13 + m31 ) < epsilon2 )
&& ( Math.abs( m23 + m32 ) < epsilon2 )
&& ( Math.abs( m11 + m22 + m33 - 3 ) < epsilon2 ) ) {
// this singularity is identity matrix so angle = 0
this.set( 1, 0, 0, 0 );
return this; // zero angle, arbitrary axis
}
// otherwise this singularity is angle = 180
angle = Math.PI;
var xx = ( m11 + 1 ) / 2;
var yy = ( m22 + 1 ) / 2;
var zz = ( m33 + 1 ) / 2;
var xy = ( m12 + m21 ) / 4;
var xz = ( m13 + m31 ) / 4;
var yz = ( m23 + m32 ) / 4;
if ( ( xx > yy ) && ( xx > zz ) ) { // m11 is the largest diagonal term
if ( xx < epsilon ) {
x = 0;
y = 0.707106781;
z = 0.707106781;
} else {
x = Math.sqrt( xx );
y = xy / x;
z = xz / x;
}
} else if ( yy > zz ) { // m22 is the largest diagonal term
if ( yy < epsilon ) {
x = 0.707106781;
y = 0;
z = 0.707106781;
} else {
y = Math.sqrt( yy );
x = xy / y;
z = yz / y;
}
} else { // m33 is the largest diagonal term so base result on this
if ( zz < epsilon ) {
x = 0.707106781;
y = 0.707106781;
z = 0;
} else {
z = Math.sqrt( zz );
x = xz / z;
y = yz / z;
}
}
this.set( x, y, z, angle );
return this; // return 180 deg rotation
}
// as we have reached here there are no singularities so we can handle normally
var s = Math.sqrt( ( m32 - m23 ) * ( m32 - m23 )
+ ( m13 - m31 ) * ( m13 - m31 )
+ ( m21 - m12 ) * ( m21 - m12 ) ); // used to normalize
if ( Math.abs( s ) < 0.001 ) s = 1;
// prevent divide by zero, should not happen if matrix is orthogonal and should be
// caught by singularity test above, but I've left it in just in case
this.x = ( m32 - m23 ) / s;
this.y = ( m13 - m31 ) / s;
this.z = ( m21 - m12 ) / s;
this.w = Math.acos( ( m11 + m22 + m33 - 1 ) / 2 );
return this;
},
min: function ( v ) {
if ( this.x > v.x ) {
this.x = v.x;
}
if ( this.y > v.y ) {
this.y = v.y;
}
if ( this.z > v.z ) {
this.z = v.z;
}
if ( this.w > v.w ) {
this.w = v.w;
}
return this;
},
max: function ( v ) {
if ( this.x < v.x ) {
this.x = v.x;
}
if ( this.y < v.y ) {
this.y = v.y;
}
if ( this.z < v.z ) {
this.z = v.z;
}
if ( this.w < v.w ) {
this.w = v.w;
}
return this;
},
clamp: function ( min, max ) {
// This function assumes min < max, if this assumption isn't true it will not operate correctly
if ( this.x < min.x ) {
this.x = min.x;
} else if ( this.x > max.x ) {
this.x = max.x;
}
if ( this.y < min.y ) {
this.y = min.y;
} else if ( this.y > max.y ) {
this.y = max.y;
}
if ( this.z < min.z ) {
this.z = min.z;
} else if ( this.z > max.z ) {
this.z = max.z;
}
if ( this.w < min.w ) {
this.w = min.w;
} else if ( this.w > max.w ) {
this.w = max.w;
}
return this;
},
clampScalar: ( function () {
var min, max;
return function ( minVal, maxVal ) {
if ( min === undefined ) {
min = new THREE.Vector4();
max = new THREE.Vector4();
}
min.set( minVal, minVal, minVal, minVal );
max.set( maxVal, maxVal, maxVal, maxVal );
return this.clamp( min, max );
};
} )(),
floor: function () {
this.x = Math.floor( this.x );
this.y = Math.floor( this.y );
this.z = Math.floor( this.z );
this.w = Math.floor( this.w );
return this;
},
ceil: function () {
this.x = Math.ceil( this.x );
this.y = Math.ceil( this.y );
this.z = Math.ceil( this.z );
this.w = Math.ceil( this.w );
return this;
},
round: function () {
this.x = Math.round( this.x );
this.y = Math.round( this.y );
this.z = Math.round( this.z );
this.w = Math.round( this.w );
return this;
},
roundToZero: function () {
this.x = ( this.x < 0 ) ? Math.ceil( this.x ) : Math.floor( this.x );
this.y = ( this.y < 0 ) ? Math.ceil( this.y ) : Math.floor( this.y );
this.z = ( this.z < 0 ) ? Math.ceil( this.z ) : Math.floor( this.z );
this.w = ( this.w < 0 ) ? Math.ceil( this.w ) : Math.floor( this.w );
return this;
},
negate: function () {
return this.