point2d.h

#pragma once
 
#include <Eigen/Dense>

class Point2d {
public:
    constexpr Point2d() : xcoord(0), ycoord(0) {}

    Point2d(const int& x, const int& y);

    Point2d(const Eigen::Vector2i &vector);

    int x() const;

    void setX(const int& x);

    int y() const;

    void setY(const int& y);

    Eigen::Vector2i as_vector() const;

    Eigen::Vector2d as_vector(Eigen::Vector2d X, Eigen::Vector2d Y) const;

    int manhattan_distance(const Point2d& other) const;

    int manhattan_norm() const;

    double distance(const Point2d& other) const;

    double norm() const;

    bool operator==(const Point2d &other) const;

    Point2d operator+(const Point2d &other) const;

    Point2d operator-(const Point2d &other) const;

    Point2d operator-() const;

    Point2d operator*(const int &scalar) const;

    int operator*(const Point2d &other) const;

    friend std::ostream &operator<<(std::ostream &os, const Point2d &point);
 
private:
    int xcoord, ycoord;
};