import { Vector3 } from './Vector3.js'; class Box3 { constructor(min = new Vector3(+Infinity, +Infinity, +Infinity), max = new Vector3(-Infinity, -Infinity, -Infinity)) { 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) { this.makeEmpty(); return this.expandByObject(object); } 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) { // 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 (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]); } 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); } } Box3.prototype.isBox3 = true; 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 seperating 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 seperating 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 seperating and we can exit return false; } } return true; } export { Box3 };