without prototype |
for (var i=0; i < 10000; i++)
{
v = {
x: Math.random(),
y: Math.random(),
z: Math.random(),
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;
},
copy: function ( v ) {
this.x = v.x;
this.y = v.y;
this.z = v.z;
return this;
},
add: function ( a, b ) {
this.x = a.x + b.x;
this.y = a.y + b.y;
this.z = a.z + b.z;
return this;
},
addSelf: function ( v ) {
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;
},
sub: function ( a, b ) {
this.x = a.x - b.x;
this.y = a.y - b.y;
this.z = a.z - b.z;
return this;
},
subSelf: function ( v ) {
this.x -= v.x;
this.y -= v.y;
this.z -= v.z;
return this;
},
multiply: function ( a, b ) {
this.x = a.x * b.x;
this.y = a.y * b.y;
this.z = a.z * b.z;
return this;
},
multiplySelf: function ( v ) {
this.x *= v.x;
this.y *= v.y;
this.z *= v.z;
return this;
},
multiplyScalar: function ( s ) {
this.x *= s;
this.y *= s;
this.z *= s;
return this;
},
divideSelf: function ( v ) {
this.x /= v.x;
this.y /= v.y;
this.z /= v.z;
return this;
},
divideScalar: function ( s ) {
if ( s ) {
this.x /= s;
this.y /= s;
this.z /= s;
} else {
this.x = 0;
this.y = 0;
this.z = 0;
}
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.lengthSq() );
},
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 ) {
return this.normalize().multiplyScalar( l );
},
lerpSelf: 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 ( a, b ) {
this.x = a.y * b.z - a.z * b.y;
this.y = a.z * b.x - a.x * b.z;
this.z = a.x * b.y - a.y * b.x;
return this;
},
crossSelf: function ( v ) {
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;
},
distanceTo: function ( v ) {
return Math.sqrt( this.distanceToSquared( v ) );
},
distanceToSquared: function ( v ) {
return new Vector3().sub( this, v ).lengthSq();
},
getPositionFromMatrix: function ( m ) {
this.x = m.elements[12];
this.y = m.elements[13];
this.z = m.elements[14];
return this;
},
setEulerFromRotationMatrix: function ( m, order ) {
// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
// clamp, to handle numerical problems
function clamp( x ) {
return Math.min( Math.max( x, -1 ), 1 );
}
var te = m.elements;
var m11 = te[0], m12 = te[4], m13 = te[8];
var m21 = te[1], m22 = te[5], m23 = te[9];
var m31 = te[2], m32 = te[6], m33 = te[10];
if ( order === undefined || order === 'XYZ' ) {
this.y = Math.asin( clamp( m13 ) );
if ( Math.abs( m13 ) < 0.99999 ) {
this.x = Math.atan2( - m23, m33 );
this.z = Math.atan2( - m12, m11 );
} else {
this.x = Math.atan2( m21, m22 );
this.z = 0;
}
} else if ( order === 'YXZ' ) {
this.x = Math.asin( - clamp( m23 ) );
if ( Math.abs( m23 ) < 0.99999 ) {
this.y = Math.atan2( m13, m33 );
this.z = Math.atan2( m21, m22 );
} else {
this.y = Math.atan2( - m31, m11 );
this.z = 0;
}
} else if ( order === 'ZXY' ) {
this.x = Math.asin( clamp( m32 ) );
if ( Math.abs( m32 ) < 0.99999 ) {
this.y = Math.atan2( - m31, m33 );
this.z = Math.atan2( - m12, m22 );
} else {
this.y = 0;
this.z = Math.atan2( m13, m11 );
}
} else if ( order === 'ZYX' ) {
this.y = Math.asin( - clamp( m31 ) );
if ( Math.abs( m31 ) < 0.99999 ) {
this.x = Math.atan2( m32, m33 );
this.z = Math.atan2( m21, m11 );
} else {
this.x = 0;
this.z = Math.atan2( - m12, m22 );
}
} else if ( order === 'YZX' ) {
this.z = Math.asin( clamp( m21 ) );
if ( Math.abs( m21 ) < 0.99999 ) {
this.x = Math.atan2( - m23, m22 );
this.y = Math.atan2( - m31, m11 );
} else {
this.x = 0;
this.y = Math.atan2( m31, m33 );
}
} else if ( order === 'XZY' ) {
this.z = Math.asin( - clamp( m12 ) );
if ( Math.abs( m12 ) < 0.99999 ) {
this.x = Math.atan2( m32, m22 );
this.y = Math.atan2( m13, m11 );
} else {
this.x = Math.atan2( - m13, m33 );
this.y = 0;
}
}
return this;
},
setEulerFromQuaternion: function ( q, order ) {
// q is assumed to be normalized
// clamp, to handle numerical problems
function clamp( x ) {
return Math.min( Math.max( x, -1 ), 1 );
}
// http://www.mathworks.com/matlabcentral/fileexchange/20696-function-to-convert-between-dcm-euler-angles-quaternions-and-euler-vectors/content/SpinCalc.m
var sqx = q.x * q.x;
var sqy = q.y * q.y;
var sqz = q.z * q.z;
var sqw = q.w * q.w;
if ( order === undefined || order === 'XYZ' ) {
this.x = Math.atan2( 2 * ( q.x * q.w - q.y * q.z ), ( sqw - sqx - sqy + sqz ) );
this.y = Math.asin( clamp( 2 * ( q.x * q.z + q.y * q.w ) ) );
this.z = Math.atan2( 2 * ( q.z * q.w - q.x * q.y ), ( sqw + sqx - sqy - sqz ) );
} else if ( order === 'YXZ' ) {
this.x = Math.asin( clamp( 2 * ( q.x * q.w - q.y * q.z ) ) );
this.y = Math.atan2( 2 * ( q.x * q.z + q.y * q.w ), ( sqw - sqx - sqy + sqz ) );
this.z = Math.atan2( 2 * ( q.x * q.y + q.z * q.w ), ( sqw - sqx + sqy - sqz ) );
} else if ( order === 'ZXY' ) {
this.x = Math.asin( clamp( 2 * ( q.x * q.w + q.y * q.z ) ) );
this.y = Math.atan2( 2 * ( q.y * q.w - q.z * q.x ), ( sqw - sqx - sqy + sqz ) );
this.z = Math.atan2( 2 * ( q.z * q.w - q.x * q.y ), ( sqw - sqx + sqy - sqz ) );
} else if ( order === 'ZYX' ) {
this.x = Math.atan2( 2 * ( q.x * q.w + q.z * q.y ), ( sqw - sqx - sqy + sqz ) );
this.y = Math.asin( clamp( 2 * ( q.y * q.w - q.x * q.z ) ) );
this.z = Math.atan2( 2 * ( q.x * q.y + q.z * q.w ), ( sqw + sqx - sqy - sqz ) );
} else if ( order === 'YZX' ) {
this.x = Math.atan2( 2 * ( q.x * q.w - q.z * q.y ), ( sqw - sqx + sqy - sqz ) );
this.y = Math.atan2( 2 * ( q.y * q.w - q.x * q.z ), ( sqw + sqx - sqy - sqz ) );
this.z = Math.asin( clamp( 2 * ( q.x * q.y + q.z * q.w ) ) );
} else if ( order === 'XZY' ) {
this.x = Math.atan2( 2 * ( q.x * q.w + q.y * q.z ), ( sqw - sqx + sqy - sqz ) );
this.y = Math.atan2( 2 * ( q.x * q.z + q.y * q.w ), ( sqw + sqx - sqy - sqz ) );
this.z = Math.asin( clamp( 2 * ( q.z * q.w - q.x * q.y ) ) );
}
return this;
},
getScaleFromMatrix: 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;
},
equals: function ( v ) {
return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) );
},
isZero: function () {
return ( this.lengthSq() < 0.0001 /* almostZero */ );
},
clone: function () {
return new Vector3( this.x, this.y, this.z );
}
};
}
|
pending… |
with prototype |
/**
* @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
*/
Vector3 = function ( x, y, z ) {
this.x = x || 0;
this.y = y || 0;
this.z = z || 0;
};
Vector3.prototype = {
constructor: 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;
},
copy: function ( v ) {
this.x = v.x;
this.y = v.y;
this.z = v.z;
return this;
},
add: function ( a, b ) {
this.x = a.x + b.x;
this.y = a.y + b.y;
this.z = a.z + b.z;
return this;
},
addSelf: function ( v ) {
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;
},
sub: function ( a, b ) {
this.x = a.x - b.x;
this.y = a.y - b.y;
this.z = a.z - b.z;
return this;
},
subSelf: function ( v ) {
this.x -= v.x;
this.y -= v.y;
this.z -= v.z;
return this;
},
multiply: function ( a, b ) {
this.x = a.x * b.x;
this.y = a.y * b.y;
this.z = a.z * b.z;
return this;
},
multiplySelf: function ( v ) {
this.x *= v.x;
this.y *= v.y;
this.z *= v.z;
return this;
},
multiplyScalar: function ( s ) {
this.x *= s;
this.y *= s;
this.z *= s;
return this;
},
divideSelf: function ( v ) {
this.x /= v.x;
this.y /= v.y;
this.z /= v.z;
return this;
},
divideScalar: function ( s ) {
if ( s ) {
this.x /= s;
this.y /= s;
this.z /= s;
} else {
this.x = 0;
this.y = 0;
this.z = 0;
}
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.lengthSq() );
},
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 ) {
return this.normalize().multiplyScalar( l );
},
lerpSelf: 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 ( a, b ) {
this.x = a.y * b.z - a.z * b.y;
this.y = a.z * b.x - a.x * b.z;
this.z = a.x * b.y - a.y * b.x;
return this;
},
crossSelf: function ( v ) {
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;
},
distanceTo: function ( v ) {
return Math.sqrt( this.distanceToSquared( v ) );
},
distanceToSquared: function ( v ) {
return new Vector3().sub( this, v ).lengthSq();
},
getPositionFromMatrix: function ( m ) {
this.x = m.elements[12];
this.y = m.elements[13];
this.z = m.elements[14];
return this;
},
setEulerFromRotationMatrix: function ( m, order ) {
// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
// clamp, to handle numerical problems
function clamp( x ) {
return Math.min( Math.max( x, -1 ), 1 );
}
var te = m.elements;
var m11 = te[0], m12 = te[4], m13 = te[8];
var m21 = te[1], m22 = te[5], m23 = te[9];
var m31 = te[2], m32 = te[6], m33 = te[10];
if ( order === undefined || order === 'XYZ' ) {
this.y = Math.asin( clamp( m13 ) );
if ( Math.abs( m13 ) < 0.99999 ) {
this.x = Math.atan2( - m23, m33 );
this.z = Math.atan2( - m12, m11 );
} else {
this.x = Math.atan2( m21, m22 );
this.z = 0;
}
} else if ( order === 'YXZ' ) {
this.x = Math.asin( - clamp( m23 ) );
if ( Math.abs( m23 ) < 0.99999 ) {
this.y = Math.atan2( m13, m33 );
this.z = Math.atan2( m21, m22 );
} else {
this.y = Math.atan2( - m31, m11 );
this.z = 0;
}
} else if ( order === 'ZXY' ) {
this.x = Math.asin( clamp( m32 ) );
if ( Math.abs( m32 ) < 0.99999 ) {
this.y = Math.atan2( - m31, m33 );
this.z = Math.atan2( - m12, m22 );
} else {
this.y = 0;
this.z = Math.atan2( m13, m11 );
}
} else if ( order === 'ZYX' ) {
this.y = Math.asin( - clamp( m31 ) );
if ( Math.abs( m31 ) < 0.99999 ) {
this.x = Math.atan2( m32, m33 );
this.z = Math.atan2( m21, m11 );
} else {
this.x = 0;
this.z = Math.atan2( - m12, m22 );
}
} else if ( order === 'YZX' ) {
this.z = Math.asin( clamp( m21 ) );
if ( Math.abs( m21 ) < 0.99999 ) {
this.x = Math.atan2( - m23, m22 );
this.y = Math.atan2( - m31, m11 );
} else {
this.x = 0;
this.y = Math.atan2( m31, m33 );
}
} else if ( order === 'XZY' ) {
this.z = Math.asin( - clamp( m12 ) );
if ( Math.abs( m12 ) < 0.99999 ) {
this.x = Math.atan2( m32, m22 );
this.y = Math.atan2( m13, m11 );
} else {
this.x = Math.atan2( - m13, m33 );
this.y = 0;
}
}
return this;
},
setEulerFromQuaternion: function ( q, order ) {
// q is assumed to be normalized
// clamp, to handle numerical problems
function clamp( x ) {
return Math.min( Math.max( x, -1 ), 1 );
}
// http://www.mathworks.com/matlabcentral/fileexchange/20696-function-to-convert-between-dcm-euler-angles-quaternions-and-euler-vectors/content/SpinCalc.m
var sqx = q.x * q.x;
var sqy = q.y * q.y;
var sqz = q.z * q.z;
var sqw = q.w * q.w;
if ( order === undefined || order === 'XYZ' ) {
this.x = Math.atan2( 2 * ( q.x * q.w - q.y * q.z ), ( sqw - sqx - sqy + sqz ) );
this.y = Math.asin( clamp( 2 * ( q.x * q.z + q.y * q.w ) ) );
this.z = Math.atan2( 2 * ( q.z * q.w - q.x * q.y ), ( sqw + sqx - sqy - sqz ) );
} else if ( order === 'YXZ' ) {
this.x = Math.asin( clamp( 2 * ( q.x * q.w - q.y * q.z ) ) );
this.y = Math.atan2( 2 * ( q.x * q.z + q.y * q.w ), ( sqw - sqx - sqy + sqz ) );
this.z = Math.atan2( 2 * ( q.x * q.y + q.z * q.w ), ( sqw - sqx + sqy - sqz ) );
} else if ( order === 'ZXY' ) {
this.x = Math.asin( clamp( 2 * ( q.x * q.w + q.y * q.z ) ) );
this.y = Math.atan2( 2 * ( q.y * q.w - q.z * q.x ), ( sqw - sqx - sqy + sqz ) );
this.z = Math.atan2( 2 * ( q.z * q.w - q.x * q.y ), ( sqw - sqx + sqy - sqz ) );
} else if ( order === 'ZYX' ) {
this.x = Math.atan2( 2 * ( q.x * q.w + q.z * q.y ), ( sqw - sqx - sqy + sqz ) );
this.y = Math.asin( clamp( 2 * ( q.y * q.w - q.x * q.z ) ) );
this.z = Math.atan2( 2 * ( q.x * q.y + q.z * q.w ), ( sqw + sqx - sqy - sqz ) );
} else if ( order === 'YZX' ) {
this.x = Math.atan2( 2 * ( q.x * q.w - q.z * q.y ), ( sqw - sqx + sqy - sqz ) );
this.y = Math.atan2( 2 * ( q.y * q.w - q.x * q.z ), ( sqw + sqx - sqy - sqz ) );
this.z = Math.asin( clamp( 2 * ( q.x * q.y + q.z * q.w ) ) );
} else if ( order === 'XZY' ) {
this.x = Math.atan2( 2 * ( q.x * q.w + q.y * q.z ), ( sqw - sqx + sqy - sqz ) );
this.y = Math.atan2( 2 * ( q.x * q.z + q.y * q.w ), ( sqw + sqx - sqy - sqz ) );
this.z = Math.asin( clamp( 2 * ( q.z * q.w - q.x * q.y ) ) );
}
return this;
},
getScaleFromMatrix: 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;
},
equals: function ( v ) {
return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) );
},
isZero: function () {
return ( this.lengthSq() < 0.0001 /* almostZero */ );
},
clone: function () {
return new Vector3( this.x, this.y, this.z );
}
};
for (var i=0; i < 10000; i++)
{
v = new Vector3(Math.random(), Math.random(), Math.random());
}
|
pending… |
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