RhodeCode

      ///Return the sum of two vectors

      Point<T> operator+(const Point<T> &u) const {

        Point<T> b=*this;

        return b+=u;

      }

      ///Return the negative of the vector

      Point<T> operator-() const {

        Point<T> b=*this;

        b.x=-b.x; b.y=-b.y;

        return b;

      }

      ///Return the difference of two vectors

      Point<T> operator-(const Point<T> &u) const {

        Point<T> b=*this;

        return b-=u;

      }

      ///Return a vector multiplied by a scalar

      Point<T> operator*(const T &u) const {

        Point<T> b=*this;

        return b*=u;

      }

      ///Return a vector divided by a scalar

      Point<T> operator/(const T &u) const {

        Point<T> b=*this;

        return b/=u;

      }

      ///Test equality

      bool operator==(const Point<T> &u) const {

        return (x==u.x) && (y==u.y);

      }

      ///Test inequality

      bool operator!=(Point u) const {

        return  (x!=u.x) || (y!=u.y);

      }

    };

  ///Return a Point

  ///Return a Point.

  ///\relates Point

  template <typename T>

  inline Point<T> makePoint(const T& x, const T& y) {

    return Point<T>(x, y);

  }

  ///Return a vector multiplied by a scalar

  ///Return a vector multiplied by a scalar.

  ///\relates Point

  template<typename T> Point<T> operator*(const T &u,const Point<T> &x) {

    return x*u;

  }

  ///Read a plain vector from a stream

  ///Read a plain vector from a stream.

  ///\relates Point

  ///

  template<typename T>

  inline std::istream& operator>>(std::istream &is, Point<T> &z) {

    char c;

    if (is >> c) {

      if (c != '(') is.putback(c);

    } else {

      is.clear();

    }

    if (!(is >> z.x)) return is;

    if (is >> c) {

      if (c != ',') is.putback(c);

    } else {

      is.clear();

    }

    if (!(is >> z.y)) return is;

    if (is >> c) {

      if (c != ')') is.putback(c);

    } else {

      is.clear();

    }

    return is;

  }

  ///Write a plain vector to a stream

  ///Write a plain vector to a stream.

  ///\relates Point

  ///

  template<typename T>

  inline std::ostream& operator<<(std::ostream &os, const Point<T>& z)

  {

    return os;

  }

  ///Rotate by 90 degrees

  ///Returns the parameter rotated by 90 degrees in positive direction.

  ///\relates Point

  ///

  template<typename T>

  inline Point<T> rot90(const Point<T> &z)

  {

    return Point<T>(-z.y,z.x);

  }

  ///Rotate by 180 degrees

  ///Returns the parameter rotated by 180 degrees.

  ///\relates Point

  ///

  template<typename T>

  inline Point<T> rot180(const Point<T> &z)

  {

    return Point<T>(-z.x,-z.y);

  }

  ///Rotate by 270 degrees

  ///Returns the parameter rotated by 90 degrees in negative direction.

  ///\relates Point

  ///

  template<typename T>

  inline Point<T> rot270(const Point<T> &z)

  {

    return Point<T>(z.y,-z.x);

  }

    /// A class to calculate or store the bounding box of plain vectors.

    /// A class to calculate or store the bounding box of plain vectors.

    ///

    template<typename T>

    class BoundingBox {

      Point<T> _bottom_left, _top_right;

      bool _empty;

    public:

      ///Default constructor: creates an empty bounding box

      BoundingBox() { _empty = true; }

      ///Construct an instance from one point

      BoundingBox(Point<T> a) {

        _bottom_left = _top_right = a;

        _empty = false;

      }

      ///Construct an instance from two points

      ///Construct an instance from two points.

      ///\param a The bottom left corner.

      ///\param b The top right corner.

      ///\warning The coordinates of the bottom left corner must be no more

      ///than those of the top right one.

      BoundingBox(Point<T> a,Point<T> b)

      {

        _bottom_left = a;

        _top_right = b;

        _empty = false;

      }

      ///Construct an instance from four numbers

      ///Construct an instance from four numbers.

      ///\param l The left side of the box.

      ///\param b The bottom of the box.

      ///\param r The right side of the box.

      ///\param t The top of the box.

      ///\warning The left side must be no more than the right side and

      ///bottom must be no more than the top.

      BoundingBox(T l,T b,T r,T t)

      {

        _bottom_left=Point<T>(l,b);

        _top_right=Point<T>(r,t);

        _empty = false;

      }

      ///Return \c true if the bounding box is empty.

      ///Return \c true if the bounding box is empty (i.e. return \c false

      ///if at least one point was added to the box or the coordinates of

      ///the box were set).

      ///

      ///The coordinates of an empty bounding box are not defined.

      bool empty() const {

        return _empty;

      }

      /// Give back the right side of the box

      /// Give back the right side of the box.

      ///If the bounding box is empty, then the return value is not defined.

      T right() const {

        return _top_right.x;

      }

      ///Set the right side of the box

      ///Set the right side of the box.

      ///\pre The box must not be empty.

      void right(T t) {

        _top_right.x = t;

      }

      ///Give back the height of the box

      ///Give back the height of the box.

      ///If the bounding box is empty, then the return value is not defined.

      T height() const {

        return _top_right.y-_bottom_left.y;

      }

      ///Give back the width of the box

      ///Give back the width of the box.

      ///If the bounding box is empty, then the return value is not defined.

      T width() const {

        return _top_right.x-_bottom_left.x;

      }

      ///Checks whether a point is inside a bounding box

      bool inside(const Point<T>& u) const {

        if (_empty)

          return false;

        else {

          return ( (u.x-_bottom_left.x)*(_top_right.x-u.x) >= 0 &&

                   (u.y-_bottom_left.y)*(_top_right.y-u.y) >= 0 );

        }

      }

      ///Increments a bounding box with a point

      ///Increments a bounding box with a point.

      ///

      BoundingBox& add(const Point<T>& u){

        if (_empty) {

          _bottom_left = _top_right = u;

          _empty = false;

        }

        else {

          if (_bottom_left.x > u.x) _bottom_left.x = u.x;

          if (_bottom_left.y > u.y) _bottom_left.y = u.y;

          if (_top_right.x < u.x) _top_right.x = u.x;

          if (_top_right.y < u.y) _top_right.y = u.y;

        }

        return *this;

      }

      ///Increments a bounding box to contain another bounding box

      ///Increments a bounding box to contain another bounding box.

      ///

      BoundingBox& add(const BoundingBox &u){

        if ( !u.empty() ){

          add(u._bottom_left);

          add(u._top_right);

        }

        return *this;

      }

      ///Intersection of two bounding boxes

      ///Intersection of two bounding boxes.

      ///

      BoundingBox operator&(const BoundingBox& u) const {

        BoundingBox b;

        if (_empty || u._empty) {

          b._empty = true;

        } else {

          b._bottom_left.x = std::max(_bottom_left.x, u._bottom_left.x);

          b._bottom_left.y = std::max(_bottom_left.y, u._bottom_left.y);

          b._top_right.x = std::min(_top_right.x, u._top_right.x);

          b._top_right.y = std::min(_top_right.y, u._top_right.y);

          b._empty = b._bottom_left.x > b._top_right.x ||

                     b._bottom_left.y > b._top_right.y;

        }

        return b;

      }

    };//class Boundingbox

  ///Map of x-coordinates of a \ref Point "Point"-map

  ///\ingroup maps

  ///Map of x-coordinates of a \ref Point "Point"-map.

  ///

  template<class M>

  class XMap

  {

    M& _map;

  public:

    typedef typename M::Value::Value Value;

    typedef typename M::Key Key;

    ///\e

    XMap(M& map) : _map(map) {}

    Value operator[](Key k) const {return _map[k].x;}

    void set(Key k,Value v) {_map.set(k,typename M::Value(v,_map[k].y));}

  };

  ///Returns an \ref XMap class

  ///This function just returns an \ref XMap class.

  ///

  ///\ingroup maps

  ///\relates XMap

  template<class M>

  inline XMap<M> xMap(M &m)

  {

    return XMap<M>(m);

  }

  template<class M>

  inline XMap<M> xMap(const M &m)

  {

    return XMap<M>(m);

  }

  ///Constant (read only) version of \ref XMap

  ///\ingroup maps

  ///Constant (read only) version of \ref XMap

  ///

  template<class M>

  class ConstXMap

  {

    const M& _map;

  public:

    typedef typename M::Value::Value Value;

    typedef typename M::Key Key;

    ///\e

    ConstXMap(const M &map) : _map(map) {}

    Value operator[](Key k) const {return _map[k].x;}

  };

  ///Returns a \ref ConstXMap class

  ///This function just returns a \ref ConstXMap class.

  ///

  ///\ingroup maps

  ///\relates ConstXMap

  template<class M>

  inline ConstXMap<M> xMap(const M &m)

  {

    return ConstXMap<M>(m);

  }

  ///Map of y-coordinates of a \ref Point "Point"-map

  ///\ingroup maps

  ///Map of y-coordinates of a \ref Point "Point"-map.

  ///

  template<class M>

  class YMap

  {

    M& _map;

  public:

    typedef typename M::Value::Value Value;

    typedef typename M::Key Key;

    ///\e

    YMap(M& map) : _map(map) {}

    Value operator[](Key k) const {return _map[k].y;}

    void set(Key k,Value v) {_map.set(k,typename M::Value(_map[k].x,v));}

  };

  ///Returns a \ref YMap class

  ///This function just returns a \ref YMap class.

  ///

  ///\ingroup maps

  ///\relates YMap

  template<class M>

  inline YMap<M> yMap(M &m)

  {

    return YMap<M>(m);