///////////////////////////////////////////////////////////////////////////////
//
// vector.cpp
//
// Description
//      Classe définissant un vecteur.
//
// Copyright
//      Laboratoire LSIS
//      Equipe LXAO
//
// Historique
//      12/05/1999  Création par Sébastien Thon
//	3/05/2015	Modifier par Thierry Nibert-siber
//
///////////////////////////////////////////////////////////////////////////////



#ifndef VECTOR_H
#define VECTOR_H



#include <iostream>



class Vector
{
public:
	/*Vector( double x1=0, double y1=0, double z1=0 );
	Vector( const Vector& v );*/
	
	Vector():
		   x(0), y(0), z(0) {}
	Vector (double x1, double y1, double z1):
		   x(x1), y(y1), z(z1) {}
	Vector ( const Vector &v ):
		   x(v.x),
		   y(v.y),
		   z(v.z) {}

	double distance( const Vector& v ) const;
	double distance( double _x, double _y, double _z ) const;

	double distance_squared( const Vector& v ) const;
	double distance_squared( double _x, double _y, double _z ) const;

	double  operator %  ( const Vector& v ) const;		// produit scalaire
	Vector operator ^  ( const Vector& v ) const;		// produit vectoriel
	void normalize();

	Vector operator + ( const Vector& v ) const;
	Vector operator + ( double d ) const;
	Vector operator - ( const Vector& v ) const;
	Vector operator - ( double d ) const;
	Vector operator - () const;

	Vector operator *  ( const Vector& v ) const;
	Vector operator *  ( double d ) const;
	Vector operator /  ( const Vector& v ) const;
	Vector operator /  ( double d ) const;

	int    operator >  ( const Vector& v );
	int    operator <  ( const Vector& v );
	int    operator == ( const Vector& v );
	int    operator != ( const Vector& v );

	Vector& operator =  ( const Vector& v );
	Vector& operator += ( const Vector& v );
	Vector& operator -= ( const Vector& v );
	Vector& operator += ( double d );
	Vector& operator -= ( double d );
	Vector& operator *= ( double d );
	Vector& operator /= ( double d );
	
	friend Vector operator + ( double d, const Vector& v )
	{
		return Vector( v.x+d, v.y+d, v.z+d );
	}

	friend Vector operator * ( double d, const Vector& v )
	{
		return Vector( v.x*d, v.y*d, v.z*d );
	}

	friend std::ostream& operator << ( std::ostream& os, const Vector& v )
	{
		return os << v.x << ", " << v.y << ", " << v.z;
	}

	double length() const;


	double x, y, z;
};



#endif