检查点是否在任意立方体内

立方体由 p0,p1,p2,p3 定义

class Vector3 {
  constructor(x = 0, y = 0, z = 0) {
    this.x = x;
    this.y = y;
    this.z = z;
  }
  sub(v) {
    this.x -= v.x;
    this.y -= v.y;
    this.z -= v.z;
    return this;
  }
  dot(v) {
    return this.x * v.x + this.y * v.y + this.z * v.z;
  }
}

function boxTest(p0, p1, p2, p3, pv) {
  const i = p1.sub(p0);
  const j = p2.sub(p0);
  const k = p3.sub(p0);
  const v = pv.sub(p0);
  if (v.dot(i) > 0 && v.dot(i) < i.dot(i) && v.dot(j) > 0 && v.dot(j) < j.dot(j) && v.dot(k) > 0 && v.dot(k) < k.dot(k)) {
    return true;
  } else {
    return false;
  }
}
const p0 = new Vector3(0, 0, 0);
const p1 = new Vector3(1, 0, 0);
const p2 = new Vector3(0, 2, 0);
const p3 = new Vector3(0, 0, 3);

const pv = new Vector3(0.5, 0.5, 0.5);
console.log(boxTest(p0, p1, p2, p3, pv));