RhodeCode

/// operations.

///

/// The class \ref lemon::dim2::BoundingBox "dim2::BoundingBox"

/// can be used to determine

/// the rectangular bounding box of a set of

/// \ref lemon::dim2::Point "dim2::Point"'s.

namespace lemon {

  ///Tools for handling two dimensional coordinates

  ///This namespace is a storage of several

    class Point {

    public:

      typedef T Value;

      T x;

      T y;     

      ///Default constructor

      Point() {}

      ///Construct an instance from coordinates

      Point(T a, T b) : x(a), y(b) { }

      ///The dimension of the vector.

      int size() const { return 2; }

      ///Subscripting operator

      ///\c p[0] is \c p.x and \c p[1] is \c p.y

      ///

      ///Return the sum of two vectors

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

        Point<T> b=*this;

        return b+=u;

      }

      Point<T> operator-() const {

        Point<T> b=*this;

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

        return b;

      }

      bool operator!=(Point u) const {

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

      }

    };

  ///\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

  ///\relates Point

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

    return x*u;

  }

  ///Read a plainvector from a stream

  ///\relates Point

  ///

  template<typename T>

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

    char c;

    if (is >> c) {

    }

    return is;

  }

  ///Write a plainvector to a stream

  ///\relates Point

  ///

  template<typename T>

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

  {

    os << "(" << z.x << ", " << z.y << ")";

    return os;

  }

  ///Rotate by 90 degrees

  ///\relates Point

  ///

  template<typename T>

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

  {

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

  }

  ///Rotate 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

  ///\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 plainvectors.

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

  ///

    template<typename T>

    class BoundingBox {

      Point<T> bottom_left, top_right;

      bool _empty;

    public:

      ///Construct an instance from one point

      BoundingBox(Point<T> a) { bottom_left=top_right=a; _empty = false; }

      ///Construct an instance from two points

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

      {

	bottom_left=a;

	top_right=b;

	_empty = false;

      }

      ///Construct an instance from four numbers

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

      {

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

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

	_empty = false;

      }

      bool empty() const {

        return _empty;

      }

      ///Make the BoundingBox empty

      void clear() {

        return bottom_left;

      }

      ///Set the bottom left corner

      ///Set the bottom left corner.

      void bottomLeft(Point<T> p) {

	bottom_left = p;

      }

      ///Give back the top right corner

        return top_right;

      }

      ///Set the top right corner

      ///Set the top right corner.

      void topRight(Point<T> p) {

	top_right = p;

      }

      ///Give back the bottom right corner

        return Point<T>(top_right.x,bottom_left.y);

      }

      ///Set the bottom right corner

      ///Set the bottom right corner.

      void bottomRight(Point<T> p) {

	top_right.x = p.x;

	bottom_left.y = p.y;

      }

      ///Give back the top left corner

        return Point<T>(bottom_left.x,top_right.y);

      }

      ///Set the top left corner

      ///Set the top left corner.

      void topLeft(Point<T> p) {

	top_right.y = p.y;

	bottom_left.x = p.x;

      }

      ///Give back the bottom of the box

        return bottom_left.y;

      }

      ///Set the bottom of the box

      ///Set the bottom of the box.

      void bottom(T t) {

	bottom_left.y = t;

      }

      ///Give back the top of the box

        return top_right.y;

      }

      ///Set the top of the box

      ///Set the top of the box.

      void top(T t) {

	top_right.y = t;

      }

      ///Give back the left side of the box

        return bottom_left.x;

      }

      ///Set the left side of the box

      ///Set the left side of the box.

      void left(T t) {

	bottom_left.x = t;

      }

      /// Give back the right side of the box

        return top_right.x;

      }

      ///Set the right side of the box

      ///Set the right side of the box.

      void right(T t) {

	top_right.x = t;

      }

      ///Give back the height 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

        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

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

        if (_empty){

          bottom_left=top_right=u;

          _empty = false;

        }

        else{

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

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

        }

        return *this;

      }

      BoundingBox& add(const BoundingBox &u){

        if ( !u.empty() ){

          this->add(u.bottomLeft());

	  this->add(u.topRight());

        }

        return *this;

      }

      ///Intersection of two bounding boxes

        BoundingBox b;

	b.bottom_left.x=std::max(this->bottom_left.x,u.bottom_left.x);

	b.bottom_left.y=std::max(this->bottom_left.y,u.bottom_left.y);

	b.top_right.x=std::min(this->top_right.x,u.top_right.x);

	b.top_right.y=std::min(this->top_right.y,u.top_right.y);

        return b;

      }

    };//class Boundingbox

  ///\ingroup maps

  ///

  template<class M>

  class XMap 

  {

    M& _map;

  public:

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

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

  };

  ///Returns a \ref ConstXMap class

  ///

  ///\ingroup maps

  ///\relates ConstXMap

  template<class M> 

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

  {

    return ConstXMap<M>(m);

  }

  ///\ingroup maps

  ///

  template<class M>

  class YMap 

  {

    M& _map;

  public:

    ///\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));}

  };

  ///

  ///\ingroup maps

  ///\relates YMap

  template<class M> 

  inline YMap<M> yMap(M &m) 

  {

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

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

  };

  ///Returns a \ref ConstYMap class

  ///

  ///\ingroup maps

  ///\relates ConstYMap

  template<class M> 

  inline ConstYMap<M> yMap(const M &m) 

  {

    return ConstYMap<M>(m);

  }

    ///\brief Map of the \ref Point::normSquare() "normSquare()"

    ///

    ///Map of the \ref Point::normSquare() "normSquare()"

    ///\ingroup maps

    ///

  template<class M>

  class NormSquareMap 

  {

    const M& _map;

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

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

  };

  ///Returns a \ref NormSquareMap class

  ///

  ///\ingroup maps

  ///\relates NormSquareMap

  template<class M> 

  inline NormSquareMap<M> normSquareMap(const M &m) 

  {