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#ifndef point_h
#define point_h
// point.h
// nono - programme du robot 2004. {{{
//
// Copyright (C) 2004 Nicolas Schodet
//
// Robot APB Team/Efrei 2004.
//        Web: http://assos.efrei.fr/robot/
//      Email: robot AT efrei DOT fr
//
// 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.
//
// }}}

#include <iostream>
#include <cmath>

/// Structure rep�sentant un point.
struct Point
{
    /// Coordonn�es.
    double x, y;
    /// Constructeur.
    Point (void) : x (0.0), y (0.0) { }
    Point (double x_, double y_) : x (x_), y (y_) { }
    //@{
    /// Op�rations.
    Point &operator+= (const Point &rhs);
    Point operator+ (const Point &rhs) const;
    Point operator- (void) const;
    Point &operator-= (const Point &rhs);
    Point operator- (const Point &rhs) const;
    Point &operator*= (double rhs);
    Point operator* (double rhs) const;
    bool operator< (const Point &rhs) const;
    bool operator<= (const Point &rhs) const;
    bool operator== (const Point &rhs) const;
    //@}
    /// Produit scalaire.
    double operator* (const Point &rhs) const;
    /// Norme.
    double norm (void) const;
    /// Normalise.
    void normalise (void);
    /// Retourne la distance au carr� � un autre point.
    double sqDistTo (const Point &rhs) const;
    /// Retourne la distance � un autre point.
    double distTo (const Point &rhs) const;
    /// Fait tourner dans le sens trigo.
    Point &ccw (void);
};

/// Sort sur un ostream.
std::ostream &
operator<< (std::ostream &os, const Point &p);

// Inlines.

/// Op�rations.
inline Point &
Point::operator+= (const Point &rhs)
{
    x += rhs.x;
    y += rhs.y;
    return *this;
}

inline Point
Point::operator+ (const Point &rhs) const
{
    return Point (*this) += rhs;
}

inline Point
Point::operator- (void) const
{
    return Point (-x, -y);
}

inline Point &
Point::operator-= (const Point &rhs)
{
    x -= rhs.x;
    y -= rhs.y;
    return *this;
}

inline Point
Point::operator- (const Point &rhs) const
{
    return Point (*this) -= rhs;
}

inline Point &
Point::operator*= (double rhs)
{
    x *= rhs;
    y *= rhs;
    return *this;
}

inline Point
Point::operator* (double rhs) const
{
    return Point (*this) *= rhs;
}

inline bool
Point::operator< (const Point &rhs) const
{
    return x < rhs.x && y < rhs.y;
}

inline bool
Point::operator<= (const Point &rhs) const
{
    return x <= rhs.x && y <= rhs.y;
}

inline bool
Point::operator== (const Point &rhs) const
{
    return x == rhs.x && y == rhs.y;
}

/// Produit scalaire.
inline double
Point::operator* (const Point &rhs) const
{
    return x * rhs.x + y * rhs.y;
}

/// Norme.
inline double
Point::norm (void) const
{
    return sqrt (x * x + y * y);
}

/// Normalise.
inline void
Point::normalise (void)
{
    double d = norm ();
    x /= d;
    y /= d;
}

/// Retourne la distance au carr� � un autre point.
inline double
Point::sqDistTo (const Point &rhs) const
{
    double dx = rhs.x - x;
    double dy = rhs.y - y;
    return dx * dx + dy * dy;
}

/// Retourne la distance � un autre point.
inline double
Point::distTo (const Point &rhs) const
{
    return sqrt (sqDistTo (rhs));
}

/// Fait tourner dans le sens trigo.
inline Point &
Point::ccw (void)
{
    double t = x;
    x = -y;
    y = t;
    return *this;
}

/// Sort sur un ostream.
inline std::ostream &
operator<< (std::ostream &os, const Point &p)
{
    os << p.x << ' ' << p.y;
    return os;
}

#endif // point_h