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Copy pathPlane.js
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222 lines (121 loc) · 4.31 KB
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/**
* @author bhouston / http://exocortex.com
*/
THREE.Plane = function ( normal, constant ) {
this.normal = ( normal !== undefined ) ? normal : new THREE.Vector3( 1, 0, 0 );
this.constant = ( constant !== undefined ) ? constant : 0;
};
THREE.Plane.prototype = {
constructor: THREE.Plane,
set: function ( normal, constant ) {
this.normal.copy( normal );
this.constant = constant;
return this;
},
setComponents: function ( x, y, z, w ) {
this.normal.set( x, y, z );
this.constant = w;
return this;
},
setFromNormalAndCoplanarPoint: function ( normal, point ) {
this.normal.copy( normal );
this.constant = - point.dot( this.normal ); // must be this.normal, not normal, as this.normal is normalized
return this;
},
setFromCoplanarPoints: function() {
var v1 = new THREE.Vector3();
var v2 = new THREE.Vector3();
return function ( a, b, c ) {
var normal = v1.subVectors( c, b ).cross( v2.subVectors( a, b ) ).normalize();
// Q: should an error be thrown if normal is zero (e.g. degenerate plane)?
this.setFromNormalAndCoplanarPoint( normal, a );
return this;
};
}(),
copy: function ( plane ) {
this.normal.copy( plane.normal );
this.constant = plane.constant;
return this;
},
normalize: function () {
// Note: will lead to a divide by zero if the plane is invalid.
var inverseNormalLength = 1.0 / this.normal.length();
this.normal.multiplyScalar( inverseNormalLength );
this.constant *= inverseNormalLength;
return this;
},
negate: function () {
this.constant *= -1;
this.normal.negate();
return this;
},
distanceToPoint: function ( point ) {
return this.normal.dot( point ) + this.constant;
},
distanceToSphere: function ( sphere ) {
return this.distanceToPoint( sphere.center ) - sphere.radius;
},
projectPoint: function ( point, optionalTarget ) {
return this.orthoPoint( point, optionalTarget ).sub( point ).negate();
},
orthoPoint: function ( point, optionalTarget ) {
var perpendicularMagnitude = this.distanceToPoint( point );
var result = optionalTarget || new THREE.Vector3();
return result.copy( this.normal ).multiplyScalar( perpendicularMagnitude );
},
isIntersectionLine: function ( line ) {
// Note: this tests if a line intersects the plane, not whether it (or its end-points) are coplanar with it.
var startSign = this.distanceToPoint( line.start );
var endSign = this.distanceToPoint( line.end );
return ( startSign < 0 && endSign > 0 ) || ( endSign < 0 && startSign > 0 );
},
intersectLine: function() {
var v1 = new THREE.Vector3();
return function ( line, optionalTarget ) {
var result = optionalTarget || new THREE.Vector3();
var direction = line.delta( v1 );
var denominator = this.normal.dot( direction );
if ( denominator == 0 ) {
// line is coplanar, return origin
if( this.distanceToPoint( line.start ) == 0 ) {
return result.copy( line.start );
}
// Unsure if this is the correct method to handle this case.
return undefined;
}
var t = - ( line.start.dot( this.normal ) + this.constant ) / denominator;
if( t < 0 || t > 1 ) {
return undefined;
}
return result.copy( direction ).multiplyScalar( t ).add( line.start );
};
}(),
coplanarPoint: function ( optionalTarget ) {
var result = optionalTarget || new THREE.Vector3();
return result.copy( this.normal ).multiplyScalar( - this.constant );
},
applyMatrix4: function() {
var v1 = new THREE.Vector3();
var v2 = new THREE.Vector3();
return function ( matrix, optionalNormalMatrix ) {
// compute new normal based on theory here:
// http://www.songho.ca/opengl/gl_normaltransform.html
optionalNormalMatrix = optionalNormalMatrix || new THREE.Matrix3().getNormalMatrix( matrix );
var newNormal = v1.copy( this.normal ).applyMatrix3( optionalNormalMatrix );
var newCoplanarPoint = this.coplanarPoint( v2 );
newCoplanarPoint.applyMatrix4( matrix );
this.setFromNormalAndCoplanarPoint( newNormal, newCoplanarPoint );
return this;
};
}(),
translate: function ( offset ) {
this.constant = this.constant - offset.dot( this.normal );
return this;
},
equals: function ( plane ) {
return plane.normal.equals( this.normal ) && ( plane.constant == this.constant );
},
clone: function () {
return new THREE.Plane().copy( this );
}
};