backend/libs/three/math/Box3.js

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 };