import { Vector3 } from './Vector3.js';
class Box3 {
constructor( min = new Vector3( + Infinity, + Infinity, + Infinity ), max = new Vector3( - Infinity, - Infinity, - Infinity ) ) {
this.isBox3 = true;
this.min = min;
this.max = max;
}
set( min, max ) {
this.min.copy( min );
this.max.copy( max );
return this;
}
setFromArray( array ) {
let minX = + Infinity;
let minY = + Infinity;
let minZ = + Infinity;
let maxX = - Infinity;
let maxY = - Infinity;
let maxZ = - Infinity;
for ( let i = 0, l = array.length; i < l; i += 3 ) {
const x = array[ i ];
const y = array[ i + 1 ];
const 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 );
return this;
}
setFromBufferAttribute( attribute ) {
let minX = + Infinity;
let minY = + Infinity;
let minZ = + Infinity;
let maxX = - Infinity;
let maxY = - Infinity;
let maxZ = - Infinity;
for ( let i = 0, l = attribute.count; i < l; i ++ ) {
const x = attribute.getX( i );
const y = attribute.getY( i );
const z = attribute.getZ( i );
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 );
return this;
}
setFromPoints( points ) {
this.makeEmpty();
for ( let i = 0, il = points.length; i < il; i ++ ) {
this.expandByPoint( points[ i ] );
}
return this;
}
setFromCenterAndSize( center, size ) {
const halfSize = _vector.copy( size ).multiplyScalar( 0.5 );
this.min.copy( center ).sub( halfSize );
this.max.copy( center ).add( halfSize );
return this;
}
setFromObject( object, precise = false ) {
this.makeEmpty();
return this.expandByObject( object, precise );
}
clone() {
return new this.constructor().copy( this );
}
copy( box ) {
this.min.copy( box.min );
this.max.copy( box.max );
return this;
}
makeEmpty() {
this.min.x = this.min.y = this.min.z = + Infinity;
this.max.x = this.max.y = this.max.z = - Infinity;
return this;
}
isEmpty() {
// 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 );
}
getCenter( target ) {
return this.isEmpty() ? target.set( 0, 0, 0 ) : target.addVectors( this.min, this.max ).multiplyScalar( 0.5 );
}
getSize( target ) {
return this.isEmpty() ? target.set( 0, 0, 0 ) : target.subVectors( this.max, this.min );
}
expandByPoint( point ) {
this.min.min( point );
this.max.max( point );
return this;
}
expandByVector( vector ) {
this.min.sub( vector );
this.max.add( vector );
return this;
}
expandByScalar( scalar ) {
this.min.addScalar( - scalar );
this.max.addScalar( scalar );
return this;
}
expandByObject( object, precise = false ) {
// Computes the world-axis-aligned bounding box of an object (including its children),
// accounting for both the object's, and children's, world transforms
object.updateWorldMatrix( false, false );
const geometry = object.geometry;
if ( geometry !== undefined ) {
if ( precise && geometry.attributes != undefined && geometry.attributes.position !== undefined ) {
const position = geometry.attributes.position;
for ( let i = 0, l = position.count; i < l; i ++ ) {
_vector.fromBufferAttribute( position, i ).applyMatrix4( object.matrixWorld );
this.expandByPoint( _vector );
}
} else {
if ( geometry.boundingBox === null ) {
geometry.computeBoundingBox();
}
_box.copy( geometry.boundingBox );
_box.applyMatrix4( object.matrixWorld );
this.union( _box );
}
}
const children = object.children;
for ( let i = 0, l = children.length; i < l; i ++ ) {
this.expandByObject( children[ i ], precise );
}
return this;
}
containsPoint( point ) {
return 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 ? false : true;
}
containsBox( box ) {
return 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;
}
getParameter( point, target ) {
// This can potentially have a divide by zero if the box
// has a size dimension of 0.
return target.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( box ) {
// using 6 splitting planes to rule out intersections.
return 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 ? false : true;
}
intersectsSphere( sphere ) {
// Find the point on the AABB closest to the sphere center.
this.clampPoint( sphere.center, _vector );
// If that point is inside the sphere, the AABB and sphere intersect.
return _vector.distanceToSquared( sphere.center ) <= ( sphere.radius * sphere.radius );
}
intersectsPlane( 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.
let 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 );
}
intersectsTriangle( triangle ) {
if ( this.isEmpty() ) {
return false;
}
// compute box center and extents
this.getCenter( _center );
_extents.subVectors( this.max, _center );
// translate triangle to aabb origin
_v0.subVectors( triangle.a, _center );
_v1.subVectors( triangle.b, _center );
_v2.subVectors( triangle.c, _center );
// compute edge vectors for triangle
_f0.subVectors( _v1, _v0 );
_f1.subVectors( _v2, _v1 );
_f2.subVectors( _v0, _v2 );
// test against axes that are given by cross product combinations of the edges of the triangle and the edges of the aabb
// make an axis testing of each of the 3 sides of the aabb against each of the 3 sides of the triangle = 9 axis of separation
// axis_ij = u_i x f_j (u0, u1, u2 = face normals of aabb = x,y,z axes vectors since aabb is axis aligned)
let axes = [
0, - _f0.z, _f0.y, 0, - _f1.z, _f1.y, 0, - _f2.z, _f2.y,
_f0.z, 0, - _f0.x, _f1.z, 0, - _f1.x, _f2.z, 0, - _f2.x,
- _f0.y, _f0.x, 0, - _f1.y, _f1.x, 0, - _f2.y, _f2.x, 0
];
if ( ! satForAxes( axes, _v0, _v1, _v2, _extents ) ) {
return false;
}
// test 3 face normals from the aabb
axes = [ 1, 0, 0, 0, 1, 0, 0, 0, 1 ];
if ( ! satForAxes( axes, _v0, _v1, _v2, _extents ) ) {
return false;
}
// finally testing the face normal of the triangle
// use already existing triangle edge vectors here
_triangleNormal.crossVectors( _f0, _f1 );
axes = [ _triangleNormal.x, _triangleNormal.y, _triangleNormal.z ];
return satForAxes( axes, _v0, _v1, _v2, _extents );
}
clampPoint( point, target ) {
return target.copy( point ).clamp( this.min, this.max );
}
distanceToPoint( point ) {
const clampedPoint = _vector.copy( point ).clamp( this.min, this.max );
return clampedPoint.sub( point ).length();
}
getBoundingSphere( target ) {
this.getCenter( target.center );
target.radius = this.getSize( _vector ).length() * 0.5;
return target;
}
intersect( 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( box ) {
this.min.min( box.min );
this.max.max( box.max );
return this;
}
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( offset ) {
this.min.add( offset );
this.max.add( offset );
return this;
}
equals( box ) {
return box.min.equals( this.min ) && box.max.equals( this.max );
}
}
const _points = [
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3()
];
const _vector = /*@__PURE__*/ new Vector3();
const _box = /*@__PURE__*/ new Box3();
// triangle centered vertices
const _v0 = /*@__PURE__*/ new Vector3();
const _v1 = /*@__PURE__*/ new Vector3();
const _v2 = /*@__PURE__*/ new Vector3();
// triangle edge vectors
const _f0 = /*@__PURE__*/ new Vector3();
const _f1 = /*@__PURE__*/ new Vector3();
const _f2 = /*@__PURE__*/ new Vector3();
const _center = /*@__PURE__*/ new Vector3();
const _extents = /*@__PURE__*/ new Vector3();
const _triangleNormal = /*@__PURE__*/ new Vector3();
const _testAxis = /*@__PURE__*/ new Vector3();
function satForAxes( axes, v0, v1, v2, extents ) {
for ( let i = 0, j = axes.length - 3; i <= j; i += 3 ) {
_testAxis.fromArray( axes, i );
// project the aabb onto the separating axis
const r = extents.x * Math.abs( _testAxis.x ) + extents.y * Math.abs( _testAxis.y ) + extents.z * Math.abs( _testAxis.z );
// project all 3 vertices of the triangle onto the separating axis
const p0 = v0.dot( _testAxis );
const p1 = v1.dot( _testAxis );
const p2 = v2.dot( _testAxis );
// actual test, basically see if either of the most extreme of the triangle points intersects r
if ( Math.max( - Math.max( p0, p1, p2 ), Math.min( p0, p1, p2 ) ) > r ) {
// points of the projected triangle are outside the projected half-length of the aabb
// the axis is separating and we can exit
return false;
}
}
return true;
}
export { Box3 };
