#ifndef VECTOR_HPP_
#define VECTOR_HPP_

class Vector;

/** Single vector.
 * basically, just a x[3] but with helpful functions
 */
class Vector {
	public:
		double x[NDIM];

	Vector();
	Vector(double x1, double x2, double x3);
	~Vector();

	double Distance(const Vector *y) const;
	double DistanceSquared(const Vector *y) const;
	double PeriodicDistance(const Vector *y, const double *cell_size) const;
	double PeriodicDistanceSquared(const Vector *y, const double *cell_size) const;
	double ScalarProduct(const Vector *y) const;
	double Projection(const Vector *y) const;
	double Norm() const ;
	double Angle(const Vector *y) const;

	void AddVector(const Vector *y);
	void SubtractVector(const Vector *y);
	void CopyVector(const Vector *y);
	void RotateVector(const Vector *y, const double alpha);
	void VectorProduct(const Vector *y);
	void ProjectOntoPlane(const Vector *y);
	void Zero();
	void One(double one);
	void Init(double x1, double x2, double x3);
	void Normalize();
	void Translate(const Vector *x);
	void Mirror(const Vector *x);
	void Scale(double **factor);
	void Scale(double *factor);
	void Scale(double factor);
	void MatrixMultiplication(double *M);
	void InverseMatrixMultiplication(double *M);
	void KeepPeriodic(ofstream *out, double *matrix);
	void LinearCombinationOfVectors(const Vector *x1, const Vector *x2, const Vector *x3, double *factors);
	double CutsPlaneAt(Vector *A, Vector *B, Vector *C);
	bool GetOneNormalVector(const Vector *x1);
	bool MakeNormalVector(const Vector *y1);
	bool MakeNormalVector(const Vector *y1, const Vector *y2);
	bool MakeNormalVector(const Vector *x1, const Vector *x2, const Vector *x3);
	bool SolveSystem(Vector *x1, Vector *x2, Vector *y, double alpha, double beta, double c);
	bool LSQdistance(Vector **vectors, int dim);
	void AskPosition(double *cell_size, bool check);
	bool Output(ofstream *out) const;
};

ostream & operator << (ostream& ost, Vector &m);
//Vector& operator+=(Vector& a, const Vector& b);
//Vector& operator*=(Vector& a, const double m);
//Vector& operator*(const Vector& a, const double m);
//Vector& operator+(const Vector& a, const Vector& b);

#endif /*VECTOR_HPP_*/