/** * @author bhouston / http://clara.io * @author WestLangley / http://github.com/WestLangley */ THREE.Box3 = function ( min, max ) { this.min = ( min !== undefined ) ? min : new THREE.Vector3( + Infinity, + Infinity, + Infinity ); this.max = ( max !== undefined ) ? max : new THREE.Vector3( - Infinity, - Infinity, - Infinity ); }; THREE.Box3.prototype = { constructor: THREE.Box3, set: function ( min, max ) { this.min.copy( min ); this.max.copy( max ); return this; }, setFromArray: function ( array ) { var minX = + Infinity; var minY = + Infinity; var minZ = + Infinity; var maxX = - Infinity; var maxY = - Infinity; var maxZ = - Infinity; for ( var i = 0, l = array.length; i < l; i += 3 ) { var x = array[ i ]; var y = array[ i + 1 ]; var z = array[ i + 2 ]; if ( x < minX ) minX = x; if ( y < minY ) minY = y; if ( z < minZ ) minZ = z; if ( x > maxX ) maxX = x; if ( y > maxY ) maxY = y; if ( z > maxZ ) maxZ = z; } this.min.set( minX, minY, minZ ); this.max.set( maxX, maxY, maxZ ); }, setFromPoints: function ( points ) { this.makeEmpty(); for ( var i = 0, il = points.length; i < il; i ++ ) { this.expandByPoint( points[ i ] ); } return this; }, setFromCenterAndSize: function () { var v1 = new THREE.Vector3(); return function setFromCenterAndSize( center, size ) { var halfSize = v1.copy( size ).multiplyScalar( 0.5 ); this.min.copy( center ).sub( halfSize ); this.max.copy( center ).add( halfSize ); return this; }; }(), setFromObject: function () { // Computes the world-axis-aligned bounding box of an object (including its children), // accounting for both the object's, and children's, world transforms var v1 = new THREE.Vector3(); return function setFromObject( object ) { var scope = this; object.updateMatrixWorld( true ); this.makeEmpty(); object.traverse( function ( node ) { var geometry = node.geometry; if ( geometry !== undefined ) { if ( geometry instanceof THREE.Geometry ) { var vertices = geometry.vertices; for ( var i = 0, il = vertices.length; i < il; i ++ ) { v1.copy( vertices[ i ] ); v1.applyMatrix4( node.matrixWorld ); scope.expandByPoint( v1 ); } } else if ( geometry instanceof THREE.BufferGeometry ) { var attribute = geometry.attributes.position; if ( attribute !== undefined ) { var array, offset, stride; if ( attribute instanceof THREE.InterleavedBufferAttribute ) { array = attribute.data.array; offset = attribute.offset; stride = attribute.data.stride; } else { array = attribute.array; offset = 0; stride = 3; } for ( var i = offset, il = array.length; i < il; i += stride ) { v1.fromArray( array, i ); v1.applyMatrix4( node.matrixWorld ); scope.expandByPoint( v1 ); } } } } } ); return this; }; }(), clone: function () { return new this.constructor().copy( this ); }, copy: function ( box ) { this.min.copy( box.min ); this.max.copy( box.max ); return this; }, makeEmpty: function () { this.min.x = this.min.y = this.min.z = + Infinity; this.max.x = this.max.y = this.max.z = - Infinity; return this; }, isEmpty: function () { // this is a more robust check for empty than ( volume <= 0 ) because volume can get positive with two negative axes return ( this.max.x < this.min.x ) || ( this.max.y < this.min.y ) || ( this.max.z < this.min.z ); }, center: function ( optionalTarget ) { var result = optionalTarget || new THREE.Vector3(); return result.addVectors( this.min, this.max ).multiplyScalar( 0.5 ); }, size: function ( optionalTarget ) { var result = optionalTarget || new THREE.Vector3(); return result.subVectors( this.max, this.min ); }, expandByPoint: function ( point ) { this.min.min( point ); this.max.max( point ); return this; }, expandByVector: function ( vector ) { this.min.sub( vector ); this.max.add( vector ); return this; }, expandByScalar: function ( scalar ) { this.min.addScalar( - scalar ); this.max.addScalar( scalar ); return this; }, containsPoint: function ( point ) { if ( point.x < this.min.x || point.x > this.max.x || point.y < this.min.y || point.y > this.max.y || point.z < this.min.z || point.z > this.max.z ) { return false; } return true; }, containsBox: function ( box ) { if ( ( this.min.x <= box.min.x ) && ( box.max.x <= this.max.x ) && ( this.min.y <= box.min.y ) && ( box.max.y <= this.max.y ) && ( this.min.z <= box.min.z ) && ( box.max.z <= this.max.z ) ) { return true; } return false; }, getParameter: function ( point, optionalTarget ) { // This can potentially have a divide by zero if the box // has a size dimension of 0. var result = optionalTarget || new THREE.Vector3(); return result.set( ( point.x - this.min.x ) / ( this.max.x - this.min.x ), ( point.y - this.min.y ) / ( this.max.y - this.min.y ), ( point.z - this.min.z ) / ( this.max.z - this.min.z ) ); }, intersectsBox: function ( box ) { // using 6 splitting planes to rule out intersections. if ( box.max.x < this.min.x || box.min.x > this.max.x || box.max.y < this.min.y || box.min.y > this.max.y || box.max.z < this.min.z || box.min.z > this.max.z ) { return false; } return true; }, intersectsSphere: ( function () { var closestPoint; return function intersectsSphere( sphere ) { if ( closestPoint === undefined ) closestPoint = new THREE.Vector3(); // Find the point on the AABB closest to the sphere center. this.clampPoint( sphere.center, closestPoint ); // If that point is inside the sphere, the AABB and sphere intersect. return closestPoint.distanceToSquared( sphere.center ) <= ( sphere.radius * sphere.radius ); }; } )(), intersectsPlane: function ( plane ) { // We compute the minimum and maximum dot product values. If those values // are on the same side (back or front) of the plane, then there is no intersection. var min, max; if ( plane.normal.x > 0 ) { min = plane.normal.x * this.min.x; max = plane.normal.x * this.max.x; } else { min = plane.normal.x * this.max.x; max = plane.normal.x * this.min.x; } if ( plane.normal.y > 0 ) { min += plane.normal.y * this.min.y; max += plane.normal.y * this.max.y; } else { min += plane.normal.y * this.max.y; max += plane.normal.y * this.min.y; } if ( plane.normal.z > 0 ) { min += plane.normal.z * this.min.z; max += plane.normal.z * this.max.z; } else { min += plane.normal.z * this.max.z; max += plane.normal.z * this.min.z; } return ( min <= plane.constant && max >= plane.constant ); }, clampPoint: function ( point, optionalTarget ) { var result = optionalTarget || new THREE.Vector3(); return result.copy( point ).clamp( this.min, this.max ); }, distanceToPoint: function () { var v1 = new THREE.Vector3(); return function distanceToPoint( point ) { var clampedPoint = v1.copy( point ).clamp( this.min, this.max ); return clampedPoint.sub( point ).length(); }; }(), getBoundingSphere: function () { var v1 = new THREE.Vector3(); return function getBoundingSphere( optionalTarget ) { var result = optionalTarget || new THREE.Sphere(); result.center = this.center(); result.radius = this.size( v1 ).length() * 0.5; return result; }; }(), intersect: function ( box ) { this.min.max( box.min ); this.max.min( box.max ); // ensure that if there is no overlap, the result is fully empty, not slightly empty with non-inf/+inf values that will cause subsequence intersects to erroneously return valid values. if( this.isEmpty() ) this.makeEmpty(); return this; }, union: function ( box ) { this.min.min( box.min ); this.max.max( box.max ); return this; }, applyMatrix4: function () { var points = [ new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3(), new THREE.Vector3() ]; return function applyMatrix4( matrix ) { // transform of empty box is an empty box. if( this.isEmpty() ) return this; // NOTE: I am using a binary pattern to specify all 2^3 combinations below points[ 0 ].set( this.min.x, this.min.y, this.min.z ).applyMatrix4( matrix ); // 000 points[ 1 ].set( this.min.x, this.min.y, this.max.z ).applyMatrix4( matrix ); // 001 points[ 2 ].set( this.min.x, this.max.y, this.min.z ).applyMatrix4( matrix ); // 010 points[ 3 ].set( this.min.x, this.max.y, this.max.z ).applyMatrix4( matrix ); // 011 points[ 4 ].set( this.max.x, this.min.y, this.min.z ).applyMatrix4( matrix ); // 100 points[ 5 ].set( this.max.x, this.min.y, this.max.z ).applyMatrix4( matrix ); // 101 points[ 6 ].set( this.max.x, this.max.y, this.min.z ).applyMatrix4( matrix ); // 110 points[ 7 ].set( this.max.x, this.max.y, this.max.z ).applyMatrix4( matrix ); // 111 this.setFromPoints( points ); return this; }; }(), translate: function ( offset ) { this.min.add( offset ); this.max.add( offset ); return this; }, equals: function ( box ) { return box.min.equals( this.min ) && box.max.equals( this.max ); } };