export interface IPoint {
  x: number
  y: number
}

export class Point implements IPoint {
  private _x: number

  private _y: number

  constructor(x: number, y: number) {
    this._x = x;
    this._y = y;
  }

  get x(): number { return this._x; }

  get y(): number { return this._y; }

  public add(pt: IPoint): Point {
    return new Point(this.x + pt.x, this.y + pt.y);
  }

  public sub(pt: IPoint): Point {
    return new Point(this.x - pt.x, this.y - pt.y);
  }

  public mul(pt: IPoint): Point {
    return new Point(this.x * pt.x, this.y * pt.y);
  }

  public div(pt: IPoint): Point {
    return new Point(this.x / pt.x, this.y / pt.y);
  }

  public abs(): Point {
    return new Point(Math.abs(this.x), Math.abs(this.y));
  }

  public magnitude(): number {
    return Math.sqrt((this.x ** 2) + (this.y ** 2));
  }

  public floor(): Point {
    return new Point(Math.floor(this.x), Math.floor(this.y));
  }
}