point.hpp

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#pragma once
 
#include <cmath>
#include <iostream>
#include <functional>
 
namespace zlayout {
namespace geometry {

class Point {
public:
    double x; 
    double y; 

    static constexpr double TOLERANCE = 1e-10;

    Point() : x(0.0), y(0.0) {}

    Point(double x, double y) : x(x), y(y) {}

    Point(const Point& other) = default;

    Point& operator=(const Point& other) = default;

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

    bool operator!=(const Point& other) const;

    Point operator+(const Point& other) const;

    Point operator-(const Point& other) const;

    Point operator*(double scalar) const;

    Point operator/(double scalar) const;

    Point& operator+=(const Point& other);

    Point& operator-=(const Point& other);

    double distance_to(const Point& other) const;

    double distance_squared_to(const Point& other) const;

    double distance_to_line(const Point& line_start, const Point& line_end) const;

    double dot(const Point& other) const;

    double cross(const Point& other) const;

    double magnitude() const;

    double magnitude_squared() const;

    Point normalize() const;

    Point rotate(double angle) const;

    Point rotate_around(const Point& center, double angle) const;

    double angle_to(const Point& other) const;

    bool is_zero() const;

    std::string to_string() const;

    friend std::ostream& operator<<(std::ostream& os, const Point& point);
};

struct PointHash {
    std::size_t operator()(const Point& point) const;
};

double distance(const Point& p1, const Point& p2);

Point midpoint(const Point& p1, const Point& p2);

double angle_between_points(const Point& p1, const Point& p2, const Point& p3);

bool are_collinear(const Point& p1, const Point& p2, const Point& p3);

int orientation(const Point& p1, const Point& p2, const Point& p3);
 
} // namespace geometry
} // namespace zlayout