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#ifndef vector_hh
#define vector_hh
// vector.hh
// robert - programme du robot 2005. {{{
//
// Copyright (C) 2005 Nicolas Schodet
//
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2 of the License, or
// (at your option) any later version.
// 
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
//
// Contact :
//        Web: http://perso.efrei.fr/~schodet/
//      Email: <contact@ni.fr.eu.org>
// }}}
#include <cmath>

namespace geometry {

/// Vecteur 2d en coordonn�es carth�siennes.
template<typename T>
struct VectorT
{
    /// Coordonn�es.
    T x, y;
    /// Constructeur par defaut.
    VectorT (void) { }
    /// Constructeur.
    VectorT (T x_, T y_) { x = x_; y = y_; }
    //@{
    /// Op�rations.
    VectorT<T> &operator+= (const VectorT<T> &v);
    VectorT<T> &operator-= (const VectorT<T> &v);
    VectorT<T> &operator*= (T scalar);
    VectorT<T> &operator/= (T scalar);
    VectorT<T> operator+ (const VectorT<T> &v) const;
    VectorT<T> operator- (const VectorT<T> &v) const;
    VectorT<T> operator* (T scalar) const;
    VectorT<T> operator/ (T scalar) const;
    //@}
    /// Produit scalaire.
    T operator* (const VectorT<T> &v) const;
    /// Calcule la norme.
    T norm (void) const;
    /// Normalise.
    VectorT<T> &normalize (void);
    /// Rotation de pi/2.
    VectorT<T> &rotate (void);
    /// Rotation.
    VectorT<T> &rotate (T angle);
    /// Distance � un autre point.
    T distTo (const VectorT<T> &v) const;
    /// Distance � un autre point au carr�.
    T sqDistTo (const VectorT<T> &v) const;
};

/// Multiplication.
template<typename T>
VectorT<T>
operator* (T scalar, const VectorT<T> &v);

/// Sortie sur un ostream.
template<typename T>
std::ostream &operator<< (std::ostream &os, const VectorT<T> &v);

/// Vecteur de doubles.
typedef VectorT<double> Vector;

} // namespace geometry

#include "vector.tcc"

#endif // vector_hh