/* -*- C++ -*-

  *

  * This file is a part of LEMON, a generic C++ optimization library

  *

  * Copyright (C) 2003-2008

  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

  * (Egervary Research Group on Combinatorial Optimization, EGRES).

  *

  * Permission to use, modify and distribute this software is granted

  * provided that this copyright notice appears in all copies. For

  * precise terms see the accompanying LICENSE file.

  *

  * This software is provided "AS IS" with no warranty of any kind,

  * express or implied, and with no claim as to its suitability for any

  * purpose.

  *

  */

 #ifndef LEMON_GRAPH_TO_EPS_H

 #define LEMON_GRAPH_TO_EPS_H

 #include <sys/time.h>

 #ifdef WIN32

 #include <lemon/bits/mingw32_time.h>

 #endif

 #include<iostream>

 #include<fstream>

 #include<sstream>

 #include<algorithm>

 #include<vector>

 #include<ctime>

 #include<lemon/math.h>

 #include<lemon/bits/invalid.h>

 #include<lemon/dim2.h>

 #include<lemon/maps.h>

 #include<lemon/color.h>

 #include<lemon/bits/bezier.h>

 ///\ingroup eps_io

 ///\file

 ///\brief A well configurable tool for visualizing graphs

 namespace lemon {

   namespace _graph_to_eps_bits {

     template<class MT>

     class _NegY {

     public:

       typedef typename MT::Key Key;

       typedef typename MT::Value Value;

       const MT ↦

       int yscale;

       _NegY(const MT &m,bool b) : map(m), yscale(1-b*2) {}

       Value operator[](Key n) { return Value(map[n].x,map[n].y*yscale);}

     };

   }

 ///Default traits class of \ref GraphToEps

 ///Default traits class of \ref GraphToEps

 ///

 ///\c G is the type of the underlying graph.

 template<class G>

 struct DefaultGraphToEpsTraits

 {

   typedef G Graph;

   typedef typename Graph::Node Node;

   typedef typename Graph::NodeIt NodeIt;

   typedef typename Graph::Arc Arc;

   typedef typename Graph::ArcIt ArcIt;

   typedef typename Graph::InArcIt InArcIt;

   typedef typename Graph::OutArcIt OutArcIt;

   const Graph &g;

   std::ostream& os;

   typedef ConstMap<typename Graph::Node,dim2::Point<double> > CoordsMapType;

   CoordsMapType _coords;

   ConstMap<typename Graph::Node,double > _nodeSizes;

   ConstMap<typename Graph::Node,int > _nodeShapes;

   ConstMap<typename Graph::Node,Color > _nodeColors;

   ConstMap<typename Graph::Arc,Color > _arcColors;

   ConstMap<typename Graph::Arc,double > _arcWidths;

   double _arcWidthScale;

   double _nodeScale;

   double _xBorder, _yBorder;

   double _scale;

   double _nodeBorderQuotient;

   bool _drawArrows;

   double _arrowLength, _arrowWidth;

   bool _showNodes, _showArcs;

   bool _enableParallel;

   double _parArcDist;

   bool _showNodeText;

   ConstMap<typename Graph::Node,bool > _nodeTexts;  

   double _nodeTextSize;

   bool _showNodePsText;

   ConstMap<typename Graph::Node,bool > _nodePsTexts;  

   char *_nodePsTextsPreamble;

   bool _undirected;

   bool _pleaseRemoveOsStream;

   bool _scaleToA4;

   std::string _title;

   std::string _copyright;

   enum NodeTextColorType 

     { DIST_COL=0, DIST_BW=1, CUST_COL=2, SAME_COL=3 } _nodeTextColorType;

   ConstMap<typename Graph::Node,Color > _nodeTextColors;

   bool _autoNodeScale;

   bool _autoArcWidthScale;

   bool _absoluteNodeSizes;

   bool _absoluteArcWidths;

   bool _negY;

   bool _preScale;

   ///Constructor

   ///Constructor

   ///\param _g is a reference to the graph to be printed

   ///\param _os is a reference to the output stream.

   ///\param _os is a reference to the output stream.

   ///\param _pros If it is \c true, then the \c ostream referenced by \c _os

   ///will be explicitly deallocated by the destructor.

   ///By default it is <tt>std::cout</tt>

   DefaultGraphToEpsTraits(const G &_g,std::ostream& _os=std::cout,

 			  bool _pros=false) :

     g(_g), os(_os),

     _coords(dim2::Point<double>(1,1)), _nodeSizes(1), _nodeShapes(0),

     _nodeColors(WHITE), _arcColors(BLACK),

     _arcWidths(1.0), _arcWidthScale(0.003),

     _nodeScale(.01), _xBorder(10), _yBorder(10), _scale(1.0),

     _nodeBorderQuotient(.1),

     _drawArrows(false), _arrowLength(1), _arrowWidth(0.3),

     _showNodes(true), _showArcs(true),

     _enableParallel(false), _parArcDist(1),

     _showNodeText(false), _nodeTexts(false), _nodeTextSize(1),

     _showNodePsText(false), _nodePsTexts(false), _nodePsTextsPreamble(0),

     _undirected(lemon::UndirectedTagIndicator<G>::value),

     _pleaseRemoveOsStream(_pros), _scaleToA4(false),

     _nodeTextColorType(SAME_COL), _nodeTextColors(BLACK),

     _autoNodeScale(false),

     _autoArcWidthScale(false),

     _absoluteNodeSizes(false),

     _absoluteArcWidths(false),

     _negY(false),

     _preScale(true)

   {}

 };

 ///Auxiliary class to implement the named parameters of \ref graphToEps()

 ///Auxiliary class to implement the named parameters of \ref graphToEps()

 template<class T> class GraphToEps : public T 

 {

   // Can't believe it is required by the C++ standard

   using T::g;

   using T::os;

   using T::_coords;

   using T::_nodeSizes;

   using T::_nodeShapes;

   using T::_nodeColors;

   using T::_arcColors;

   using T::_arcWidths;

   using T::_arcWidthScale;

   using T::_nodeScale;

   using T::_xBorder;

   using T::_yBorder;

   using T::_scale;

   using T::_nodeBorderQuotient;

   using T::_drawArrows;

   using T::_arrowLength;

   using T::_arrowWidth;

   using T::_showNodes;

   using T::_showArcs;

   using T::_enableParallel;

   using T::_parArcDist;

   using T::_showNodeText;

   using T::_nodeTexts;  

   using T::_nodeTextSize;

   using T::_showNodePsText;

   using T::_nodePsTexts;  

   using T::_nodePsTextsPreamble;

   using T::_undirected;

   using T::_pleaseRemoveOsStream;

   using T::_scaleToA4;

   using T::_title;

   using T::_copyright;

   using T::NodeTextColorType;

   using T::CUST_COL;

   using T::DIST_COL;

   using T::DIST_BW;

   using T::_nodeTextColorType;

   using T::_nodeTextColors;

   using T::_autoNodeScale;

   using T::_autoArcWidthScale;

   using T::_absoluteNodeSizes;

   using T::_absoluteArcWidths;

   using T::_negY;

   using T::_preScale;

   // dradnats ++C eht yb deriuqer si ti eveileb t'naC

   typedef typename T::Graph Graph;

   typedef typename Graph::Node Node;

   typedef typename Graph::NodeIt NodeIt;

   typedef typename Graph::Arc Arc;

   typedef typename Graph::ArcIt ArcIt;

   typedef typename Graph::InArcIt InArcIt;

   typedef typename Graph::OutArcIt OutArcIt;

   static const int INTERPOL_PREC;

   static const double A4HEIGHT;

   static const double A4WIDTH;

   static const double A4BORDER;

   bool dontPrint;

 public:

   ///Node shapes

   ///Node shapes

   ///

   enum NodeShapes { 

     /// = 0

     ///\image html nodeshape_0.png

     ///\image latex nodeshape_0.eps "CIRCLE shape (0)" width=2cm

     CIRCLE=0, 

     /// = 1

     ///\image html nodeshape_1.png

     ///\image latex nodeshape_1.eps "SQUARE shape (1)" width=2cm

     ///

     SQUARE=1, 

     /// = 2

     ///\image html nodeshape_2.png

     ///\image latex nodeshape_2.eps "DIAMOND shape (2)" width=2cm

     ///

     DIAMOND=2,

     /// = 3

     ///\image html nodeshape_3.png

     ///\image latex nodeshape_2.eps "MALE shape (4)" width=2cm

     ///

     MALE=3,

     /// = 4

     ///\image html nodeshape_4.png

     ///\image latex nodeshape_2.eps "FEMALE shape (4)" width=2cm

     ///

     FEMALE=4

   };

 private:

   class arcLess {

     const Graph &g;

   public:

     arcLess(const Graph &_g) : g(_g) {}

     bool operator()(Arc a,Arc b) const 

     {

       Node ai=std::min(g.source(a),g.target(a));

       Node aa=std::max(g.source(a),g.target(a));

       Node bi=std::min(g.source(b),g.target(b));

       Node ba=std::max(g.source(b),g.target(b));

       return ai<bi ||

 	(ai==bi && (aa < ba || 

 		    (aa==ba && ai==g.source(a) && bi==g.target(b))));

     }

   };

   bool isParallel(Arc e,Arc f) const

   {

     return (g.source(e)==g.source(f)&&

 	    g.target(e)==g.target(f)) ||

       (g.source(e)==g.target(f)&&

        g.target(e)==g.source(f));

   }

   template<class TT>

   static std::string psOut(const dim2::Point<TT> &p) 

     {

       std::ostringstream os;	

       os << p.x << ' ' << p.y;

       return os.str();

     }

   static std::string psOut(const Color &c) 

     {

       std::ostringstream os;	

       os << c.red() << ' ' << c.green() << ' ' << c.blue();

       return os.str();

     }

 public:

   GraphToEps(const T &t) : T(t), dontPrint(false) {};

   template<class X> struct CoordsTraits : public T {

   typedef X CoordsMapType;

     const X &_coords;

     CoordsTraits(const T &t,const X &x) : T(t), _coords(x) {}

   };

   ///Sets the map of the node coordinates

   ///Sets the map of the node coordinates.

   ///\param x must be a node map with dim2::Point<double> or

   ///\ref dim2::Point "dim2::Point<int>" values. 

   template<class X> GraphToEps<CoordsTraits<X> > coords(const X &x) {

     dontPrint=true;

     return GraphToEps<CoordsTraits<X> >(CoordsTraits<X>(*this,x));

   }

   template<class X> struct NodeSizesTraits : public T {

     const X &_nodeSizes;

     NodeSizesTraits(const T &t,const X &x) : T(t), _nodeSizes(x) {}

   };

   ///Sets the map of the node sizes

   ///Sets the map of the node sizes

   ///\param x must be a node map with \c double (or convertible) values. 

   template<class X> GraphToEps<NodeSizesTraits<X> > nodeSizes(const X &x)

   {

     dontPrint=true;

     return GraphToEps<NodeSizesTraits<X> >(NodeSizesTraits<X>(*this,x));

   }

   template<class X> struct NodeShapesTraits : public T {

     const X &_nodeShapes;

     NodeShapesTraits(const T &t,const X &x) : T(t), _nodeShapes(x) {}

   };

   ///Sets the map of the node shapes

   ///Sets the map of the node shapes.

   ///The available shape values

   ///can be found in \ref NodeShapes "enum NodeShapes".

   ///\param x must be a node map with \c int (or convertible) values. 

   ///\sa NodeShapes

   template<class X> GraphToEps<NodeShapesTraits<X> > nodeShapes(const X &x)

   {

     dontPrint=true;

     return GraphToEps<NodeShapesTraits<X> >(NodeShapesTraits<X>(*this,x));

   }

   template<class X> struct NodeTextsTraits : public T {

     const X &_nodeTexts;

     NodeTextsTraits(const T &t,const X &x) : T(t), _nodeTexts(x) {}

   };

   ///Sets the text printed on the nodes

   ///Sets the text printed on the nodes

   ///\param x must be a node map with type that can be pushed to a standard

   ///ostream. 

   template<class X> GraphToEps<NodeTextsTraits<X> > nodeTexts(const X &x)

   {

     dontPrint=true;

     _showNodeText=true;

     return GraphToEps<NodeTextsTraits<X> >(NodeTextsTraits<X>(*this,x));

   }

   template<class X> struct NodePsTextsTraits : public T {

     const X &_nodePsTexts;

     NodePsTextsTraits(const T &t,const X &x) : T(t), _nodePsTexts(x) {}

   };

   ///Inserts a PostScript block to the nodes

   ///With this command it is possible to insert a verbatim PostScript

   ///block to the nodes.

   ///The PS current point will be moved to the centre of the node before

   ///the PostScript block inserted.

   ///

   ///Before and after the block a newline character is inserted so you

   ///don't have to bother with the separators.

   ///

   ///\param x must be a node map with type that can be pushed to a standard

   ///ostream.

   ///

   ///\sa nodePsTextsPreamble()

   template<class X> GraphToEps<NodePsTextsTraits<X> > nodePsTexts(const X &x)

   {

     dontPrint=true;

     _showNodePsText=true;

     return GraphToEps<NodePsTextsTraits<X> >(NodePsTextsTraits<X>(*this,x));

   }

   template<class X> struct ArcWidthsTraits : public T {

     const X &_arcWidths;

     ArcWidthsTraits(const T &t,const X &x) : T(t), _arcWidths(x) {}

   };

   ///Sets the map of the arc widths

   ///Sets the map of the arc widths

   ///\param x must be a arc map with \c double (or convertible) values. 

   template<class X> GraphToEps<ArcWidthsTraits<X> > arcWidths(const X &x)

   {

     dontPrint=true;

     return GraphToEps<ArcWidthsTraits<X> >(ArcWidthsTraits<X>(*this,x));

   }

   template<class X> struct NodeColorsTraits : public T {

     const X &_nodeColors;

     NodeColorsTraits(const T &t,const X &x) : T(t), _nodeColors(x) {}

   };

   ///Sets the map of the node colors

   ///Sets the map of the node colors

   ///\param x must be a node map with \ref Color values.

   ///

   ///\sa Palette

   template<class X> GraphToEps<NodeColorsTraits<X> >

   nodeColors(const X &x)

   {

     dontPrint=true;

     return GraphToEps<NodeColorsTraits<X> >(NodeColorsTraits<X>(*this,x));

   }

   template<class X> struct NodeTextColorsTraits : public T {

     const X &_nodeTextColors;

     NodeTextColorsTraits(const T &t,const X &x) : T(t), _nodeTextColors(x) {}

   };

   ///Sets the map of the node text colors

   ///Sets the map of the node text colors

   ///\param x must be a node map with \ref Color values. 

   ///

   ///\sa Palette

   template<class X> GraphToEps<NodeTextColorsTraits<X> >

   nodeTextColors(const X &x)

   {

     dontPrint=true;

     _nodeTextColorType=CUST_COL;

     return GraphToEps<NodeTextColorsTraits<X> >

       (NodeTextColorsTraits<X>(*this,x));

   }

   template<class X> struct ArcColorsTraits : public T {

     const X &_arcColors;

     ArcColorsTraits(const T &t,const X &x) : T(t), _arcColors(x) {}

   };

   ///Sets the map of the arc colors

   ///Sets the map of the arc colors

   ///\param x must be a arc map with \ref Color values. 

   ///

   ///\sa Palette

   template<class X> GraphToEps<ArcColorsTraits<X> >

   arcColors(const X &x)

   {

     dontPrint=true;

     return GraphToEps<ArcColorsTraits<X> >(ArcColorsTraits<X>(*this,x));

   }

   ///Sets a global scale factor for node sizes

   ///Sets a global scale factor for node sizes.

   /// 

   /// If nodeSizes() is not given, this function simply sets the node

   /// sizes to \c d.  If nodeSizes() is given, but

   /// autoNodeScale() is not, then the node size given by

   /// nodeSizes() will be multiplied by the value \c d.

   /// If both nodeSizes() and autoNodeScale() are used, then the

   /// node sizes will be scaled in such a way that the greatest size will be

   /// equal to \c d.

   /// \sa nodeSizes()

   /// \sa autoNodeScale()

   GraphToEps<T> &nodeScale(double d=.01) {_nodeScale=d;return *this;}

   ///Turns on/off the automatic node width scaling.

   ///Turns on/off the automatic node width scaling.

   ///

   ///\sa nodeScale()

   ///

   GraphToEps<T> &autoNodeScale(bool b=true) {

     _autoNodeScale=b;return *this;

   }

   ///Turns on/off the absolutematic node width scaling.

   ///Turns on/off the absolutematic node width scaling.

   ///

   ///\sa nodeScale()

   ///

   GraphToEps<T> &absoluteNodeSizes(bool b=true) {

     _absoluteNodeSizes=b;return *this;

   }

   ///Negates the Y coordinates.

   ///Negates the Y coordinates.

   ///

   GraphToEps<T> &negateY(bool b=true) {

     _negY=b;return *this;

   }

   ///Turn on/off pre-scaling

   ///By default graphToEps() rescales the whole image in order to avoid

   ///very big or very small bounding boxes.

   ///

   ///This (p)rescaling can be turned off with this function.

   ///

   GraphToEps<T> &preScale(bool b=true) {

     _preScale=b;return *this;

   }

   ///Sets a global scale factor for arc widths

   /// Sets a global scale factor for arc widths.

   ///

   /// If arcWidths() is not given, this function simply sets the arc

   /// widths to \c d.  If arcWidths() is given, but

   /// autoArcWidthScale() is not, then the arc withs given by

   /// arcWidths() will be multiplied by the value \c d.

   /// If both arcWidths() and autoArcWidthScale() are used, then the

   /// arc withs will be scaled in such a way that the greatest width will be

   /// equal to \c d.

   GraphToEps<T> &arcWidthScale(double d=.003) {_arcWidthScale=d;return *this;}

   ///Turns on/off the automatic arc width scaling.

   ///Turns on/off the automatic arc width scaling.

   ///

   ///\sa arcWidthScale()

   ///

   GraphToEps<T> &autoArcWidthScale(bool b=true) {

     _autoArcWidthScale=b;return *this;

   }

   ///Turns on/off the absolutematic arc width scaling.

   ///Turns on/off the absolutematic arc width scaling.

   ///

   ///\sa arcWidthScale()

   ///

   GraphToEps<T> &absoluteArcWidths(bool b=true) {

     _absoluteArcWidths=b;return *this;

   }

   ///Sets a global scale factor for the whole picture

   ///Sets a global scale factor for the whole picture

   ///

   GraphToEps<T> &scale(double d) {_scale=d;return *this;}

   ///Sets the width of the border around the picture

   ///Sets the width of the border around the picture

   ///

   GraphToEps<T> &border(double b=10) {_xBorder=_yBorder=b;return *this;}

   ///Sets the width of the border around the picture

   ///Sets the width of the border around the picture

   ///

   GraphToEps<T> &border(double x, double y) {

     _xBorder=x;_yBorder=y;return *this;

   }

   ///Sets whether to draw arrows

   ///Sets whether to draw arrows

   ///

   GraphToEps<T> &drawArrows(bool b=true) {_drawArrows=b;return *this;}

   ///Sets the length of the arrowheads

   ///Sets the length of the arrowheads

   ///

   GraphToEps<T> &arrowLength(double d=1.0) {_arrowLength*=d;return *this;}

   ///Sets the width of the arrowheads

   ///Sets the width of the arrowheads

   ///

   GraphToEps<T> &arrowWidth(double d=.3) {_arrowWidth*=d;return *this;}

   ///Scales the drawing to fit to A4 page

   ///Scales the drawing to fit to A4 page

   ///

   GraphToEps<T> &scaleToA4() {_scaleToA4=true;return *this;}

   ///Enables parallel arcs

   ///Enables parallel arcs

   GraphToEps<T> &enableParallel(bool b=true) {_enableParallel=b;return *this;}

   ///Sets the distance 

   ///Sets the distance 

   ///

   GraphToEps<T> &parArcDist(double d) {_parArcDist*=d;return *this;}

   ///Hides the arcs

   ///Hides the arcs

   ///

   GraphToEps<T> &hideArcs(bool b=true) {_showArcs=!b;return *this;}

   ///Hides the nodes

   ///Hides the nodes

   ///

   GraphToEps<T> &hideNodes(bool b=true) {_showNodes=!b;return *this;}

   ///Sets the size of the node texts

   ///Sets the size of the node texts

   ///

   GraphToEps<T> &nodeTextSize(double d) {_nodeTextSize=d;return *this;}

   ///Sets the color of the node texts to be different from the node color

   ///Sets the color of the node texts to be as different from the node color

   ///as it is possible

   ///

   GraphToEps<T> &distantColorNodeTexts()

   {_nodeTextColorType=DIST_COL;return *this;}

   ///Sets the color of the node texts to be black or white and always visible.

   ///Sets the color of the node texts to be black or white according to

   ///which is more 

   ///different from the node color

   ///

   GraphToEps<T> &distantBWNodeTexts()

   {_nodeTextColorType=DIST_BW;return *this;}

   ///Gives a preamble block for node Postscript block.

   ///Gives a preamble block for node Postscript block.

   ///

   ///\sa nodePsTexts()

   GraphToEps<T> & nodePsTextsPreamble(const char *str) {

     _nodePsTextsPreamble=str ;return *this;

   }

   ///Sets whether the the graph is undirected

   ///Sets whether the the graph is undirected.

   ///

   ///This setting is the default for undirected graphs.

   ///

   ///\sa directed()

    GraphToEps<T> &undirected(bool b=true) {_undirected=b;return *this;}

   ///Sets whether the the graph is directed

   ///Sets whether the the graph is directed.

   ///Use it to show the edges as a pair of directed ones.

   ///

   ///This setting is the default for digraphs.

   ///

   ///\sa undirected()

   GraphToEps<T> &directed(bool b=true) {_undirected=!b;return *this;}

   ///Sets the title.

   ///Sets the title of the generated image,

   ///namely it inserts a <tt>%%Title:</tt> DSC field to the header of

   ///the EPS file.

   GraphToEps<T> &title(const std::string &t) {_title=t;return *this;}

   ///Sets the copyright statement.

   ///Sets the copyright statement of the generated image,

   ///namely it inserts a <tt>%%Copyright:</tt> DSC field to the header of

   ///the EPS file.

   GraphToEps<T> &copyright(const std::string &t) {_copyright=t;return *this;}

 protected:

   bool isInsideNode(dim2::Point<double> p, double r,int t) 

   {

     switch(t) {

     case CIRCLE:

     case MALE:

     case FEMALE:

       return p.normSquare()<=r*r;

     case SQUARE:

       return p.x<=r&&p.x>=-r&&p.y<=r&&p.y>=-r;

     case DIAMOND:

       return p.x+p.y<=r && p.x-p.y<=r && -p.x+p.y<=r && -p.x-p.y<=r;

     }

     return false;

   }

 public:

   ~GraphToEps() { }

   ///Draws the graph.

   ///Like other functions using

   ///\ref named-templ-func-param "named template parameters",

   ///this function calls the algorithm itself, i.e. in this case

   ///it draws the graph.

   void run() {

     //\todo better 'epsilon' would be nice here.

     const double EPSILON=1e-9;

     if(dontPrint) return;

     _graph_to_eps_bits::_NegY<typename T::CoordsMapType>

       mycoords(_coords,_negY);

     os << "%!PS-Adobe-2.0 EPSF-2.0\n";

     if(_title.size()>0) os << "%%Title: " << _title << '\n';

      if(_copyright.size()>0) os << "%%Copyright: " << _copyright << '\n';

 //        << "%%Copyright: XXXX\n"

     os << "%%Creator: LEMON, graphToEps()\n";

     {

       char cbuf[50];

       timeval tv;

       gettimeofday(&tv, 0);

       ctime_r(&tv.tv_sec,cbuf);

       os << "%%CreationDate: " << cbuf;

     }

     if (_autoArcWidthScale) {

       double max_w=0;

       for(ArcIt e(g);e!=INVALID;++e)

 	max_w=std::max(double(_arcWidths[e]),max_w);

       ///\todo better 'epsilon' would be nice here.

       if(max_w>EPSILON) {

 	_arcWidthScale/=max_w;

       }

     }

     if (_autoNodeScale) {

       double max_s=0;

       for(NodeIt n(g);n!=INVALID;++n)

 	max_s=std::max(double(_nodeSizes[n]),max_s);

       ///\todo better 'epsilon' would be nice here.

       if(max_s>EPSILON) {

 	_nodeScale/=max_s;

       }

     }

     double diag_len = 1;

     if(!(_absoluteNodeSizes&&_absoluteArcWidths)) {

       dim2::BoundingBox<double> bb;

       for(NodeIt n(g);n!=INVALID;++n) bb.add(mycoords[n]);

       if (bb.empty()) {

 	bb = dim2::BoundingBox<double>(dim2::Point<double>(0,0));

       }

       diag_len = std::sqrt((bb.bottomLeft()-bb.topRight()).normSquare());

       if(diag_len<EPSILON) diag_len = 1;

       if(!_absoluteNodeSizes) _nodeScale*=diag_len;

       if(!_absoluteArcWidths) _arcWidthScale*=diag_len;

     }

     dim2::BoundingBox<double> bb;

     for(NodeIt n(g);n!=INVALID;++n) {

       double ns=_nodeSizes[n]*_nodeScale;

       dim2::Point<double> p(ns,ns);

       switch(_nodeShapes[n]) {

       case CIRCLE:

       case SQUARE:

       case DIAMOND:

 	bb.add(p+mycoords[n]);

 	bb.add(-p+mycoords[n]);

 	break;

       case MALE:

 	bb.add(-p+mycoords[n]);

 	bb.add(dim2::Point<double>(1.5*ns,1.5*std::sqrt(3.0)*ns)+mycoords[n]);

 	break;

       case FEMALE:

 	bb.add(p+mycoords[n]);

 	bb.add(dim2::Point<double>(-ns,-3.01*ns)+mycoords[n]);

 	break;

       }

     }

     if (bb.empty()) {

       bb = dim2::BoundingBox<double>(dim2::Point<double>(0,0));

     }

     if(_scaleToA4)

       os <<"%%BoundingBox: 0 0 596 842\n%%DocumentPaperSizes: a4\n";

     else {

       if(_preScale) {

 	//Rescale so that BoundingBox won't be neither to big nor too small.

 	while(bb.height()*_scale>1000||bb.width()*_scale>1000) _scale/=10;

 	while(bb.height()*_scale<100||bb.width()*_scale<100) _scale*=10;

       }

       os << "%%BoundingBox: "

 	 << int(floor(bb.left()   * _scale - _xBorder)) << ' '

 	 << int(floor(bb.bottom() * _scale - _yBorder)) << ' '

 	 << int(ceil(bb.right()  * _scale + _xBorder)) << ' '

 	 << int(ceil(bb.top()    * _scale + _yBorder)) << '\n';

     }

     os << "%%EndComments\n";

     //x1 y1 x2 y2 x3 y3 cr cg cb w

     os << "/lb { setlinewidth setrgbcolor newpath moveto\n"

        << "      4 2 roll 1 index 1 index curveto stroke } bind def\n";

     os << "/l { setlinewidth setrgbcolor newpath moveto lineto stroke } bind def\n";

     //x y r

     os << "/c { newpath dup 3 index add 2 index moveto 0 360 arc closepath } bind def\n";

     //x y r

     os << "/sq { newpath 2 index 1 index add 2 index 2 index add moveto\n"

        << "      2 index 1 index sub 2 index 2 index add lineto\n"

        << "      2 index 1 index sub 2 index 2 index sub lineto\n"

        << "      2 index 1 index add 2 index 2 index sub lineto\n"

        << "      closepath pop pop pop} bind def\n";

     //x y r

     os << "/di { newpath 2 index 1 index add 2 index moveto\n"

        << "      2 index             2 index 2 index add lineto\n"

        << "      2 index 1 index sub 2 index             lineto\n"

        << "      2 index             2 index 2 index sub lineto\n"

        << "      closepath pop pop pop} bind def\n";

     // x y r cr cg cb

     os << "/nc { 0 0 0 setrgbcolor 5 index 5 index 5 index c fill\n"

        << "     setrgbcolor " << 1+_nodeBorderQuotient << " div c fill\n"

        << "   } bind def\n";

     os << "/nsq { 0 0 0 setrgbcolor 5 index 5 index 5 index sq fill\n"

        << "     setrgbcolor " << 1+_nodeBorderQuotient << " div sq fill\n"

        << "   } bind def\n";

     os << "/ndi { 0 0 0 setrgbcolor 5 index 5 index 5 index di fill\n"

        << "     setrgbcolor " << 1+_nodeBorderQuotient << " div di fill\n"

        << "   } bind def\n";

     os << "/nfemale { 0 0 0 setrgbcolor 3 index "

        << _nodeBorderQuotient/(1+_nodeBorderQuotient)

        << " 1.5 mul mul setlinewidth\n"

        << "  newpath 5 index 5 index moveto "

        << "5 index 5 index 5 index 3.01 mul sub\n"

        << "  lineto 5 index 4 index .7 mul sub 5 index 5 index 2.2 mul sub moveto\n"

        << "  5 index 4 index .7 mul add 5 index 5 index 2.2 mul sub lineto stroke\n"

        << "  5 index 5 index 5 index c fill\n"

        << "  setrgbcolor " << 1+_nodeBorderQuotient << " div c fill\n"

        << "  } bind def\n";

     os << "/nmale {\n"

        << "  0 0 0 setrgbcolor 3 index "

        << _nodeBorderQuotient/(1+_nodeBorderQuotient)

        <<" 1.5 mul mul setlinewidth\n"

        << "  newpath 5 index 5 index moveto\n"

        << "  5 index 4 index 1 mul 1.5 mul add\n"

        << "  5 index 5 index 3 sqrt 1.5 mul mul add\n"

        << "  1 index 1 index lineto\n"

        << "  1 index 1 index 7 index sub moveto\n"

        << "  1 index 1 index lineto\n"

        << "  exch 5 index 3 sqrt .5 mul mul sub exch 5 index .5 mul sub lineto\n"

        << "  stroke\n"

        << "  5 index 5 index 5 index c fill\n"

        << "  setrgbcolor " << 1+_nodeBorderQuotient << " div c fill\n"

        << "  } bind def\n";

     os << "/arrl " << _arrowLength << " def\n";

     os << "/arrw " << _arrowWidth << " def\n";

     // l dx_norm dy_norm

     os << "/lrl { 2 index mul exch 2 index mul exch rlineto pop} bind def\n";

     //len w dx_norm dy_norm x1 y1 cr cg cb

     os << "/arr { setrgbcolor /y1 exch def /x1 exch def /dy exch def /dx exch def\n"

        << "       /w exch def /len exch def\n"

       //	 << "       0.1 setlinewidth x1 y1 moveto dx len mul dy len mul rlineto stroke"

        << "       newpath x1 dy w 2 div mul add y1 dx w 2 div mul sub moveto\n"

        << "       len w sub arrl sub dx dy lrl\n"

        << "       arrw dy dx neg lrl\n"

        << "       dx arrl w add mul dy w 2 div arrw add mul sub\n"

        << "       dy arrl w add mul dx w 2 div arrw add mul add rlineto\n"

        << "       dx arrl w add mul neg dy w 2 div arrw add mul sub\n"

        << "       dy arrl w add mul neg dx w 2 div arrw add mul add rlineto\n"

        << "       arrw dy dx neg lrl\n"

        << "       len w sub arrl sub neg dx dy lrl\n"

        << "       closepath fill } bind def\n";

     os << "/cshow { 2 index 2 index moveto dup stringwidth pop\n"

        << "         neg 2 div fosi .35 mul neg rmoveto show pop pop} def\n";

     os << "\ngsave\n";

     if(_scaleToA4)

       if(bb.height()>bb.width()) {

 	double sc= std::min((A4HEIGHT-2*A4BORDER)/bb.height(),

 		  (A4WIDTH-2*A4BORDER)/bb.width());

 	os << ((A4WIDTH -2*A4BORDER)-sc*bb.width())/2 + A4BORDER << ' '

 	   << ((A4HEIGHT-2*A4BORDER)-sc*bb.height())/2 + A4BORDER

 	   << " translate\n"

 	   << sc << " dup scale\n"

 	   << -bb.left() << ' ' << -bb.bottom() << " translate\n";

       }

       else {

 	//\todo Verify centering

 	double sc= std::min((A4HEIGHT-2*A4BORDER)/bb.width(),

 		  (A4WIDTH-2*A4BORDER)/bb.height());

 	os << ((A4WIDTH -2*A4BORDER)-sc*bb.height())/2 + A4BORDER << ' '

 	   << ((A4HEIGHT-2*A4BORDER)-sc*bb.width())/2 + A4BORDER 

 	   << " translate\n"

 	   << sc << " dup scale\n90 rotate\n"

 	   << -bb.left() << ' ' << -bb.top() << " translate\n";	

 	}

     else if(_scale!=1.0) os << _scale << " dup scale\n";

     if(_showArcs) {

       os << "%Arcs:\ngsave\n";      

       if(_enableParallel) {

 	std::vector<Arc> el;

 	for(ArcIt e(g);e!=INVALID;++e)

 	  if((!_undirected||g.source(e)<g.target(e))&&_arcWidths[e]>0

 	     &&g.source(e)!=g.target(e))

 	    el.push_back(e);

 	std::sort(el.begin(),el.end(),arcLess(g));

 	typename std::vector<Arc>::iterator j;

 	for(typename std::vector<Arc>::iterator i=el.begin();i!=el.end();i=j) {

 	  for(j=i+1;j!=el.end()&&isParallel(*i,*j);++j) ;

 	  double sw=0;

 	  for(typename std::vector<Arc>::iterator e=i;e!=j;++e)

 	    sw+=_arcWidths[*e]*_arcWidthScale+_parArcDist;

 	  sw-=_parArcDist;

 	  sw/=-2.0;

 	  dim2::Point<double>

 	    dvec(mycoords[g.target(*i)]-mycoords[g.source(*i)]);

 	  double l=std::sqrt(dvec.normSquare()); 

 	  //\todo better 'epsilon' would be nice here.

 	  dim2::Point<double> d(dvec/std::max(l,EPSILON));

  	  dim2::Point<double> m;

 // 	  m=dim2::Point<double>(mycoords[g.target(*i)]+mycoords[g.source(*i)])/2.0;

 //  	  m=dim2::Point<double>(mycoords[g.source(*i)])+

 // 	    dvec*(double(_nodeSizes[g.source(*i)])/

 // 	       (_nodeSizes[g.source(*i)]+_nodeSizes[g.target(*i)]));

  	  m=dim2::Point<double>(mycoords[g.source(*i)])+

 	    d*(l+_nodeSizes[g.source(*i)]-_nodeSizes[g.target(*i)])/2.0;

 	  for(typename std::vector<Arc>::iterator e=i;e!=j;++e) {

 	    sw+=_arcWidths[*e]*_arcWidthScale/2.0;

 	    dim2::Point<double> mm=m+rot90(d)*sw/.75;

 	    if(_drawArrows) {

 	      int node_shape;

 	      dim2::Point<double> s=mycoords[g.source(*e)];

 	      dim2::Point<double> t=mycoords[g.target(*e)];

 	      double rn=_nodeSizes[g.target(*e)]*_nodeScale;

 	      node_shape=_nodeShapes[g.target(*e)];

 	      dim2::Bezier3 bez(s,mm,mm,t);

 	      double t1=0,t2=1;

 	      for(int ii=0;ii<INTERPOL_PREC;++ii)

 		if(isInsideNode(bez((t1+t2)/2)-t,rn,node_shape)) t2=(t1+t2)/2;

 		else t1=(t1+t2)/2;

 	      dim2::Point<double> apoint=bez((t1+t2)/2);

 	      rn = _arrowLength+_arcWidths[*e]*_arcWidthScale;

 	      rn*=rn;

 	      t2=(t1+t2)/2;t1=0;

 	      for(int ii=0;ii<INTERPOL_PREC;++ii)

 		if((bez((t1+t2)/2)-apoint).normSquare()>rn) t1=(t1+t2)/2;

 		else t2=(t1+t2)/2;

 	      dim2::Point<double> linend=bez((t1+t2)/2);	      

 	      bez=bez.before((t1+t2)/2);

 // 	      rn=_nodeSizes[g.source(*e)]*_nodeScale;

 // 	      node_shape=_nodeShapes[g.source(*e)];

 // 	      t1=0;t2=1;

 // 	      for(int i=0;i<INTERPOL_PREC;++i)

 // 		if(isInsideNode(bez((t1+t2)/2)-t,rn,node_shape)) t1=(t1+t2)/2;

 // 		else t2=(t1+t2)/2;

 // 	      bez=bez.after((t1+t2)/2);

 	      os << _arcWidths[*e]*_arcWidthScale << " setlinewidth "

 		 << _arcColors[*e].red() << ' '

 		 << _arcColors[*e].green() << ' '

 		 << _arcColors[*e].blue() << " setrgbcolor newpath\n"

 		 << bez.p1.x << ' ' <<  bez.p1.y << " moveto\n"

 		 << bez.p2.x << ' ' << bez.p2.y << ' '

 		 << bez.p3.x << ' ' << bez.p3.y << ' '

 		 << bez.p4.x << ' ' << bez.p4.y << " curveto stroke\n";

 	      dim2::Point<double> dd(rot90(linend-apoint));

 	      dd*=(.5*_arcWidths[*e]*_arcWidthScale+_arrowWidth)/

 		std::sqrt(dd.normSquare());

 	      os << "newpath " << psOut(apoint) << " moveto "

 		 << psOut(linend+dd) << " lineto "

 		 << psOut(linend-dd) << " lineto closepath fill\n";

 	    }

 	    else {

 	      os << mycoords[g.source(*e)].x << ' '

 		 << mycoords[g.source(*e)].y << ' '

 		 << mm.x << ' ' << mm.y << ' '

 		 << mycoords[g.target(*e)].x << ' '

 		 << mycoords[g.target(*e)].y << ' '

 		 << _arcColors[*e].red() << ' '

 		 << _arcColors[*e].green() << ' '

 		 << _arcColors[*e].blue() << ' '

 		 << _arcWidths[*e]*_arcWidthScale << " lb\n";

 	    }

 	    sw+=_arcWidths[*e]*_arcWidthScale/2.0+_parArcDist;

 	  }

 	}

       }

       else for(ArcIt e(g);e!=INVALID;++e)

 	if((!_undirected||g.source(e)<g.target(e))&&_arcWidths[e]>0

 	   &&g.source(e)!=g.target(e))

 	  if(_drawArrows) {

 	    dim2::Point<double> d(mycoords[g.target(e)]-mycoords[g.source(e)]);

 	    double rn=_nodeSizes[g.target(e)]*_nodeScale;

 	    int node_shape=_nodeShapes[g.target(e)];

 	    double t1=0,t2=1;

 	    for(int i=0;i<INTERPOL_PREC;++i)

 	      if(isInsideNode((-(t1+t2)/2)*d,rn,node_shape)) t1=(t1+t2)/2;

 	      else t2=(t1+t2)/2;

 	    double l=std::sqrt(d.normSquare());

 	    d/=l;

 	    os << l*(1-(t1+t2)/2) << ' '

 	       << _arcWidths[e]*_arcWidthScale << ' '

 	       << d.x << ' ' << d.y << ' '

 	       << mycoords[g.source(e)].x << ' '

 	       << mycoords[g.source(e)].y << ' '

 	       << _arcColors[e].red() << ' '

 	       << _arcColors[e].green() << ' '

 	       << _arcColors[e].blue() << " arr\n";

 	  }

 	  else os << mycoords[g.source(e)].x << ' '

 		  << mycoords[g.source(e)].y << ' '

 		  << mycoords[g.target(e)].x << ' '

 		  << mycoords[g.target(e)].y << ' '

 		  << _arcColors[e].red() << ' '

 		  << _arcColors[e].green() << ' '

 		  << _arcColors[e].blue() << ' '

 		  << _arcWidths[e]*_arcWidthScale << " l\n";

       os << "grestore\n";

     }

     if(_showNodes) {

       os << "%Nodes:\ngsave\n";

       for(NodeIt n(g);n!=INVALID;++n) {

 	os << mycoords[n].x << ' ' << mycoords[n].y << ' '

 	   << _nodeSizes[n]*_nodeScale << ' '

 	   << _nodeColors[n].red() << ' '

 	   << _nodeColors[n].green() << ' '

 	   << _nodeColors[n].blue() << ' ';

 	switch(_nodeShapes[n]) {

 	case CIRCLE:

 	  os<< "nc";break;

 	case SQUARE:

 	  os<< "nsq";break;

 	case DIAMOND:

 	  os<< "ndi";break;

 	case MALE:

 	  os<< "nmale";break;

 	case FEMALE:

 	  os<< "nfemale";break;

 	}

 	os<<'\n';

       }

       os << "grestore\n";

     }

     if(_showNodeText) {

       os << "%Node texts:\ngsave\n";

       os << "/fosi " << _nodeTextSize << " def\n";

       os << "(Helvetica) findfont fosi scalefont setfont\n";

       for(NodeIt n(g);n!=INVALID;++n) {

 	switch(_nodeTextColorType) {

 	case DIST_COL:

 	  os << psOut(distantColor(_nodeColors[n])) << " setrgbcolor\n";

 	  break;

 	case DIST_BW:

 	  os << psOut(distantBW(_nodeColors[n])) << " setrgbcolor\n";

 	  break;

 	case CUST_COL:

 	  os << psOut(distantColor(_nodeTextColors[n])) << " setrgbcolor\n";

 	  break;

 	default:

 	  os << "0 0 0 setrgbcolor\n";

 	}

 	os << mycoords[n].x << ' ' << mycoords[n].y

 	   << " (" << _nodeTexts[n] << ") cshow\n";

       }

       os << "grestore\n";

     }

     if(_showNodePsText) {

       os << "%Node PS blocks:\ngsave\n";

       for(NodeIt n(g);n!=INVALID;++n)

 	os << mycoords[n].x << ' ' << mycoords[n].y

 	   << " moveto\n" << _nodePsTexts[n] << "\n";

       os << "grestore\n";

     }

     os << "grestore\nshowpage\n";

     //CleanUp:

     if(_pleaseRemoveOsStream) {delete &os;}

   }

   ///\name Aliases

   ///These are just some aliases to other parameter setting functions.

   ///@{

   ///An alias for arcWidths()

   ///An alias for arcWidths()

   ///

   template<class X> GraphToEps<ArcWidthsTraits<X> > edgeWidths(const X &x)

   {

     return arcWidths(x);

   }

   ///An alias for arcColors()

   ///An alias for arcColors()

   ///

   template<class X> GraphToEps<ArcColorsTraits<X> >

   edgeColors(const X &x)

   {

     return arcColors(x);

   }

   ///An alias for arcWidthScale()

   ///An alias for arcWidthScale()

   ///

   GraphToEps<T> &edgeWidthScale(double d) {return arcWidthScale(d);}

   ///An alias for autoArcWidthScale()

   ///An alias for autoArcWidthScale()

   ///

   GraphToEps<T> &autoEdgeWidthScale(bool b=true)

   {

     return autoArcWidthScale(b);

   }

   ///An alias for absoluteArcWidths()

   ///An alias for absoluteArcWidths()

   ///

   GraphToEps<T> &absoluteEdgeWidths(bool b=true)

   {

     return absoluteArcWidths(b);

   }

   ///An alias for parArcDist()

   ///An alias for parArcDist()

   ///

   GraphToEps<T> &parEdgeDist(double d) {return parArcDist(d);}

   ///An alias for hideArcs()

   ///An alias for hideArcs()

   ///

   GraphToEps<T> &hideEdges(bool b=true) {return hideArcs(b);}

   ///@}

 };

 template<class T>

 const int GraphToEps<T>::INTERPOL_PREC = 20;

 template<class T>

 const double GraphToEps<T>::A4HEIGHT = 841.8897637795276;

 template<class T>

 const double GraphToEps<T>::A4WIDTH  = 595.275590551181;

 template<class T>

 const double GraphToEps<T>::A4BORDER = 15;

 ///Generates an EPS file from a graph

 ///\ingroup eps_io

 ///Generates an EPS file from a graph.

 ///\param g is a reference to the graph to be printed

 ///\param os is a reference to the output stream.

 ///By default it is <tt>std::cout</tt>

 ///

 ///This function also has a lot of

 ///\ref named-templ-func-param "named parameters",

 ///they are declared as the members of class \ref GraphToEps. The following

 ///example shows how to use these parameters.

 ///\code

 /// graphToEps(g,os).scale(10).coords(coords)

 ///              .nodeScale(2).nodeSizes(sizes)

 ///              .arcWidthScale(.4).run();

 ///\endcode

 ///\warning Don't forget to put the \ref GraphToEps::run() "run()"

 ///to the end of the parameter list.

 ///\sa GraphToEps

 ///\sa graphToEps(G &g, const char *file_name)

 template<class G>

 GraphToEps<DefaultGraphToEpsTraits<G> > 

 graphToEps(G &g, std::ostream& os=std::cout)

 {

   return 

     GraphToEps<DefaultGraphToEpsTraits<G> >(DefaultGraphToEpsTraits<G>(g,os));

 }

 ///Generates an EPS file from a graph

 ///\ingroup eps_io

 ///This function does the same as

 ///\ref graphToEps(G &g,std::ostream& os)

 ///but it writes its output into the file \c file_name

 ///instead of a stream.

 ///\sa graphToEps(G &g, std::ostream& os)

 template<class G>

 GraphToEps<DefaultGraphToEpsTraits<G> > 

 graphToEps(G &g,const char *file_name)

 {

   return GraphToEps<DefaultGraphToEpsTraits<G> >

     (DefaultGraphToEpsTraits<G>(g,*new std::ofstream(file_name),true));

 }

 ///Generates an EPS file from a graph

 ///\ingroup eps_io

 ///This function does the same as

 ///\ref graphToEps(G &g,std::ostream& os)

 ///but it writes its output into the file \c file_name

 ///instead of a stream.

 ///\sa graphToEps(G &g, std::ostream& os)

 template<class G>

 GraphToEps<DefaultGraphToEpsTraits<G> > 

 graphToEps(G &g,const std::string& file_name)

 {

   return GraphToEps<DefaultGraphToEpsTraits<G> >

     (DefaultGraphToEpsTraits<G>(g,*new std::ofstream(file_name.c_str()),true));

 }

 } //END OF NAMESPACE LEMON

 #endif // LEMON_GRAPH_TO_EPS_H