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import { _Math } from './Math.js'; | |
import { Quaternion } from './Quaternion.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 | |
*/ | |
function Vector3( x, y, z ) { | |
this.x = x || 0; | |
this.y = y || 0; | |
this.z = z || 0; | |
} | |
Object.assign( Vector3.prototype, { | |
isVector3: true, | |
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 ); | |
} | |
return this; | |
}, | |
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 ) { | |
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 = new Quaternion(); | |
return function applyEuler( euler ) { | |
if ( ! ( euler && euler.isEuler ) ) { | |
console.error( 'THREE.Vector3: .applyEuler() now expects an Euler rotation rather than a Vector3 and order.' ); | |
} | |
return this.applyQuaternion( quaternion.setFromEuler( euler ) ); | |
}; | |
}(), | |
applyAxisAngle: function () { | |
var quaternion = new Quaternion(); | |
return function applyAxisAngle( axis, angle ) { | |
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 ) { | |
var x = this.x, y = this.y, z = this.z; | |
var e = m.elements; | |
var w = 1 / ( e[ 3 ] * x + e[ 7 ] * y + e[ 11 ] * z + e[ 15 ] ); | |
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; | |
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 ( camera ) { | |
return this.applyMatrix4( camera.matrixWorldInverse ).applyMatrix4( camera.projectionMatrix ); | |
}, | |
unproject: function ( camera ) { | |
return this.applyMatrix4( camera.projectionMatrixInverse ).applyMatrix4( camera.matrixWorld ); | |
}, | |
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 ) { | |
// assumes min < max, componentwise | |
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 = new Vector3(); | |
var max = new Vector3(); | |
return function clampScalar( minVal, maxVal ) { | |
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.divideScalar( length || 1 ).multiplyScalar( Math.max( min, Math.min( max, 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; | |
}, | |
// TODO lengthSquared? | |
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 ); | |
}, | |
manhattanLength: function () { | |
return Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z ); | |
}, | |
normalize: function () { | |
return this.divideScalar( this.length() || 1 ); | |
}, | |
setLength: function ( length ) { | |
return this.normalize().multiplyScalar( 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 ); | |
} | |
return this.crossVectors( this, v ); | |
}, | |
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 ( vector ) { | |
var scalar = vector.dot( this ) / vector.lengthSq(); | |
return this.copy( vector ).multiplyScalar( scalar ); | |
}, | |
projectOnPlane: function () { | |
var v1 = new Vector3(); | |
return function projectOnPlane( planeNormal ) { | |
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 = new Vector3(); | |
return function reflect( normal ) { | |
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( _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; | |
}, | |
manhattanDistanceTo: function ( v ) { | |
return Math.abs( this.x - v.x ) + Math.abs( this.y - v.y ) + Math.abs( this.z - v.z ); | |
}, | |
setFromSpherical: function ( s ) { | |
return this.setFromSphericalCoords( s.radius, s.phi, s.theta ); | |
}, | |
setFromSphericalCoords: function ( radius, phi, theta ) { | |
var sinPhiRadius = Math.sin( phi ) * radius; | |
this.x = sinPhiRadius * Math.sin( theta ); | |
this.y = Math.cos( phi ) * radius; | |
this.z = sinPhiRadius * Math.cos( theta ); | |
return this; | |
}, | |
setFromCylindrical: function ( c ) { | |
return this.setFromCylindricalCoords( c.radius, c.theta, c.y ); | |
}, | |
setFromCylindricalCoords: function ( radius, theta, y ) { | |
this.x = radius * Math.sin( theta ); | |
this.y = y; | |
this.z = radius * Math.cos( theta ); | |
return this; | |
}, | |
setFromMatrixPosition: function ( m ) { | |
var e = m.elements; | |
this.x = e[ 12 ]; | |
this.y = e[ 13 ]; | |
this.z = e[ 14 ]; | |
return this; | |
}, | |
setFromMatrixScale: function ( m ) { | |
var sx = this.setFromMatrixColumn( m, 0 ).length(); | |
var sy = this.setFromMatrixColumn( m, 1 ).length(); | |
var sz = this.setFromMatrixColumn( m, 2 ).length(); | |
this.x = sx; | |
this.y = sy; | |
this.z = sz; | |
return this; | |
}, | |
setFromMatrixColumn: function ( m, index ) { | |
return this.fromArray( m.elements, index * 4 ); | |
}, | |
equals: function ( v ) { | |
return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) ); | |
}, | |
fromArray: function ( array, offset ) { | |
if ( offset === undefined ) offset = 0; | |
this.x = array[ offset ]; | |
this.y = array[ offset + 1 ]; | |
this.z = array[ offset + 2 ]; | |
return this; | |
}, | |
toArray: function ( array, offset ) { | |
if ( array === undefined ) array = []; | |
if ( offset === undefined ) offset = 0; | |
array[ offset ] = this.x; | |
array[ offset + 1 ] = this.y; | |
array[ offset + 2 ] = this.z; | |
return array; | |
}, | |
fromBufferAttribute: function ( attribute, index, offset ) { | |
if ( offset !== undefined ) { | |
console.warn( 'THREE.Vector3: offset has been removed from .fromBufferAttribute().' ); | |
} | |
this.x = attribute.getX( index ); | |
this.y = attribute.getY( index ); | |
this.z = attribute.getZ( index ); | |
return this; | |
} | |
} ); | |
export { Vector3 }; | |