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#ifndef geo_Vector3D_H__
#define geo_Vector3D_H__
#include "../math/Matrix.h"
#include <cmath>
namespace meow{
template<class Scalar>
class Vector3D{
private:
Scalar _x, _y, _z;
public:
Vector3D();
Vector3D(Vector3D const& __v);
Vector3D(Scalar const& __x, Scalar const& __y, Scalar const& _z);
~Vector3D();
//
Vector3D& copy(Vector3D const& __v);
//
Scalar const& x() const;
Scalar const& y() const;
Scalar const& z() const;
Scalar const& x(Scalar const& __s);
Scalar const& y(Scalar const& __s);
Scalar const& z(Scalar const& __s);
Vector3D& xyz(Scalar const& __x, Scalar const& __y, Scalar const& __z);
//
Vector3D positive() const;
Vector3D negative() const;
Vector3D right () const;
//
Vector3D add(Vector3D const& __v) const;
Vector3D sub(Vector3D const& __v) const;
Vector3D mul(Scalar const& __s) const;
Vector3D div(Scalar const& __s) const;
//
Scalar dot (Vector3D const& __v) const;
Vector3D cross(Vector3D const& __v) const;
Scalar length () const;
Scalar length2() const;
//
Vector3D& normalize ();
Vector3D normalized() const;
Vector3D& rotate (Vector3D const& __axis, Scalar const& __theta);
Vector3D rotated (Vector3D const& __axis, Scalar const& __theta) const;
Vector3D& reflect (Vector3D const& __v);
Vector3D reflected (Vector3D 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);
Vector3D& operator()(Scalar const& __x,
Scalar const& __y,
Scalar const& __z);
//
Vector3D operator+() const;
Vector3D operator-() const;
Vector3D operator~() const;
//
Vector3D operator+(Vector3D const& __v) const;
Vector3D operator-(Vector3D const& __v) const;
Vector3D operator*(Scalar const& __s) const;
Vector3D operator/(Scalar const& __s) const;
//
Vector3D& operator+=(Vector3D const& __v);
Vector3D& operator-=(Vector3D const& __v);
Vector3D& operator*=(Scalar const& __s);
Vector3D& operator/=(Scalar const& __s);
};
}
#include "Vector3D.hpp"
#endif // geo_Vector3D_H__
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