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#ifndef geo_Vector2D_H__
#define geo_Vector2D_H__
#include "../math/Matrix.h"
#include <cmath>
namespace meow{
template<class Scalar>
class Vector2D{
private:
Scalar _x, _y;
public:
Vector2D();
Vector2D(Vector2D const& __v);
Vector2D(Scalar const& __x, Scalar const& __y);
~Vector2D();
//
Vector2D& copy(Vector2D const& __v);
//
Scalar const& x() const;
Scalar const& y() const;
Scalar const& x(Scalar const& __s);
Scalar const& y(Scalar const& __s);
Vector2D& xy(Scalar const& __x, Scalar const& __y);
//
Vector2D positive() const;
Vector2D negative() const;
Vector2D right () const;
//
Vector2D add(Vector2D const& __v) const;
Vector2D sub(Vector2D const& __v) const;
Vector2D mul(Scalar const& __s) const;
Vector2D div(Scalar const& __s) const;
//
Scalar dot (Vector2D const& __v) const;
Scalar cross(Vector2D const& __v) const;
Scalar length () const;
Scalar length2() const;
//
Vector2D& normalize ();
Vector2D normalized() const;
Vector2D& rotate (Scalar const& __theta);
Vector2D rotated (Scalar const& __theta) const;
Vector2D& reflect (Vector2D const& __v);
Vector2D reflected (Vector2D const& __v) const;
//
Matrix<Scalar> matrix( ) const;
Matrix<Scalar> matrix(Scalar const& __homo) const;
//
Scalar const& operator()(size_t n) const;
Scalar& operator()(size_t n);
Vector2D& operator()(Scalar const& __x, Scalar const& __y);
//
Vector2D operator+() const;
Vector2D operator-() const;
Vector2D operator~() const;
//
Vector2D operator+(Vector2D const& __v) const;
Vector2D operator-(Vector2D const& __v) const;
Vector2D operator*(Scalar const& __s) const;
Vector2D operator/(Scalar const& __s) const;
//
Vector2D& operator+=(Vector2D const& __v);
Vector2D& operator-=(Vector2D const& __v);
Vector2D& operator*=(Scalar const& __s);
Vector2D& operator/=(Scalar const& __s);
};
}
#include "Vector2D.hpp"
#endif // geo_Vector2D_H__
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