/* -*- C++ -*-

 * lemon/graph_to_eps.h - Part of LEMON, a generic C++ optimization library

 *

 * Copyright (C) 2005 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>

#include<iostream>

#include<fstream>

#include<sstream>

#include<algorithm>

#include<vector>

#include <ctime>

#include <cmath>

#include<lemon/invalid.h>

#include<lemon/xy.h>

#include<lemon/maps.h>

#include<lemon/bezier.h>

///\ingroup io_group

///\file

///\brief Simple graph drawer

///

///\author Alpar Juttner

namespace lemon {

///Data structure representing RGB colors.

///Data structure representing RGB colors.

///\ingroup misc

class Color

{

  double _r,_g,_b;

public:

  ///Default constructor

  Color() {}

  ///Constructor

  Color(double r,double g,double b) :_r(r),_g(g),_b(b) {};

  ///Returns the red component

  double & red() {return _r;}

  ///Returns the red component

  const double & red() const {return _r;}

  ///Returns the green component

  double & green() {return _g;}

  ///Returns the green component

  const double & green() const {return _g;}

  ///Returns the blue component

  double & blue() {return _b;}

  ///Returns the blue component

  const double & blue() const {return _b;}

  ///Set the color components

  void set(double r,double g,double b) { _r=r;_g=g;_b=b; };

};

///Maps <tt>int</tt>s to different \ref Color "Color"s

///This map assigns one of the predefined \ref Color "Color"s

///to each <tt>int</tt>. It is possible to change the colors as well as their

///number. The integer range is cyclically mapped to the provided set of colors.

///

///This is a true \ref concept::ReferenceMap "reference map", so you can also

///change the actual colors.

class ColorSet : public MapBase<int,Color>

{

  std::vector<Color> colors;

public:

  ///Constructor

  ///Constructor

  ///\param have_white indicates whether white is

  ///amongst the provided color (\c true) or not (\c false). If it is true,

  ///white will be assigned to \c 0.

  ///\param num the number of the allocated colors. If it is \c 0

  ///the default color configuration is set up (26 color plus the while).

  ///If \c num is less then 26/27 then the default color list is cut. Otherwise

  ///the color list is filled repeatedly with the default color list.

  ///(The colors can be changed later on.)

  ColorSet(bool have_white=false,int num=0)

  {

    do {

      if(have_white) colors.push_back(Color(1,1,1));

      colors.push_back(Color(0,0,0));

      colors.push_back(Color(1,0,0));

      colors.push_back(Color(0,1,0));

      colors.push_back(Color(0,0,1));

      colors.push_back(Color(1,1,0));

      colors.push_back(Color(1,0,1));

      colors.push_back(Color(0,1,1));

      colors.push_back(Color(.5,0,0));

      colors.push_back(Color(0,.5,0));

      colors.push_back(Color(0,0,.5));

      colors.push_back(Color(.5,.5,0));

      colors.push_back(Color(.5,0,.5));

      colors.push_back(Color(0,.5,.5));

      colors.push_back(Color(.5,.5,.5));

      colors.push_back(Color(1,.5,.5));

      colors.push_back(Color(.5,1,.5));

      colors.push_back(Color(.5,.5,1));

      colors.push_back(Color(1,1,.5));

      colors.push_back(Color(1,.5,1));

      colors.push_back(Color(.5,1,1));

      colors.push_back(Color(1,.5,0));

      colors.push_back(Color(.5,1,0));

      colors.push_back(Color(1,0,.5));

      colors.push_back(Color(0,1,.5));

      colors.push_back(Color(0,.5,1));

      colors.push_back(Color(.5,0,1));

    } while(int(colors.size())<num);

    //    colors.push_back(Color(1,1,1));

    if(num>0) colors.resize(num);

  }

  ///\e

  Color &operator[](int i)

  {

    return colors[i%colors.size()];

  }

  ///\e

  const Color &operator[](int i) const

  {

    return colors[i%colors.size()];

  }

  ///\e

  void set(int i,const Color &c)

  {

    colors[i%colors.size()]=c;

  }

  ///Sets the number of the exiting colors.

  void resize(int s) { colors.resize(s);}

  ///Returns the number of the existing colors.

  std::size_t size() const { return colors.size();}

};

///Returns a visible distinct \ref Color

///Returns a \ref Color which is as different from the given parameter

///as it is possible.

inline Color distantColor(const Color &c) 

{

  return Color(c.red()<.5?1:0,c.green()<.5?1:0,c.blue()<.5?1:0);

}

///Returns black for light colors and white for the dark ones.

///Returns black for light colors and white for the dark ones.

inline Color distantBW(const Color &c){

  double v=(.2125*c.red()+.7154*c.green()+.0721*c.blue())<.5?1:0;

  return Color(v,v,v);

}

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::Edge Edge;

  typedef typename Graph::EdgeIt EdgeIt;

  typedef typename Graph::InEdgeIt InEdgeIt;

  typedef typename Graph::OutEdgeIt OutEdgeIt;

  const Graph &g;

  std::ostream& os;

  typedef ConstMap<typename Graph::Node,xy<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::Edge,Color > _edgeColors;

  ConstMap<typename Graph::Edge,double > _edgeWidths;

  double _edgeWidthScale;

  double _nodeScale;

  double _xBorder, _yBorder;

  double _scale;

  double _nodeBorderQuotient;

  bool _drawArrows;

  double _arrowLength, _arrowWidth;

  bool _showNodes, _showEdges;

  bool _enableParallel;

  double _parEdgeDist;

  bool _showNodeText;

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

  double _nodeTextSize;

  bool _showNodePsText;

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

  char *_nodePsTextsPreamble;

  bool _undir;

  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 _autoEdgeWidthScale;

  bool _negY;

  ///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(xy<double>(1,1)), _nodeSizes(1.0), _nodeShapes(0),

    _nodeColors(Color(1,1,1)), _edgeColors(Color(0,0,0)),

    _edgeWidths(1), _edgeWidthScale(0.3),

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

    _nodeBorderQuotient(.1),

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

    _showNodes(true), _showEdges(true),

    _enableParallel(false), _parEdgeDist(1),

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

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

    _undir(false),

    _pleaseRemoveOsStream(_pros), _scaleToA4(false),

    _nodeTextColorType(SAME_COL), _nodeTextColors(Color(0,0,0)),

    _autoNodeScale(false),

    _autoEdgeWidthScale(false),

    _negY(false)

  {}

};

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

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

///\todo Is 'helper class' a good name for this?

///

///\todo Follow PostScript's DSC.

/// Use own dictionary.

///\todo Useful new features.

/// - Linestyles: dotted, dashed etc.

/// - A second color and percent value for the lines.

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::_edgeColors;

  using T::_edgeWidths;

  using T::_edgeWidthScale;

  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::_showEdges;

  using T::_enableParallel;

  using T::_parEdgeDist;

  using T::_showNodeText;

  using T::_nodeTexts;  

  using T::_nodeTextSize;

  using T::_showNodePsText;

  using T::_nodePsTexts;  

  using T::_nodePsTextsPreamble;

  using T::_undir;

  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::_autoEdgeWidthScale;

  // 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::Edge Edge;

  typedef typename Graph::EdgeIt EdgeIt;

  typedef typename Graph::InEdgeIt InEdgeIt;

  typedef typename Graph::OutEdgeIt OutEdgeIt;

  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

  };

private:

  class edgeLess {

    const Graph &g;

  public:

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

    bool operator()(Edge a,Edge 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(Edge e,Edge 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 xy<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 xy<double> or \ref xy "xy<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 availabe 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()

  ///\todo Offer the choise not to move to the centre but pass the coordinates

  ///to the Postscript block inserted.

  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 EdgeWidthsTraits : public T {

    const X &_edgeWidths;

    EdgeWidthsTraits(const T &t,const X &x) : T(t), _edgeWidths(x) {}

  };

  ///Sets the map of the edge widths

  ///Sets the map of the edge widths

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

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

  {

    dontPrint=true;

    return GraphToEps<EdgeWidthsTraits<X> >(EdgeWidthsTraits<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 ColorSet

  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 ColorSet

  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 EdgeColorsTraits : public T {

    const X &_edgeColors;

    EdgeColorsTraits(const T &t,const X &x) : T(t), _edgeColors(x) {}

  };

  ///Sets the map of the edge colors

  ///Sets the map of the edge colors

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

  ///

  ///\sa ColorSet

  template<class X> GraphToEps<EdgeColorsTraits<X> >

  edgeColors(const X &x)

  {

    dontPrint=true;

    return GraphToEps<EdgeColorsTraits<X> >(EdgeColorsTraits<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.

  GraphToEps<T> &nodeScale(double d) {_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;

  }

  ///Negates the Y coordinates.

  ///Negates the Y coordinates.

  ///

  ///\todo More docs.

  ///

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

    _negY=b;return *this;

  }

  ///Sets a global scale factor for edge widths

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

  ///

  /// If edgeWidths() is not given, this function simply sets the edge

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

  /// autoEdgeWidthScale() is not, then the edge withs given by

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

  /// If both edgeWidths() and autoEdgeWidthScale() are used, then the

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

  /// equal to \c d.

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

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

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

  ///

  ///\sa edgeWidthScale()

  ///

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

    _autoEdgeWidthScale=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) {_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) {_arrowLength*=d;return *this;}

  ///Sets the width of the arrowheads

  ///Sets the width of the arrowheads

  ///

  GraphToEps<T> &arrowWidth(double d) {_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 edges

  ///Enables parallel edges

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

  ///Sets the distance 

  ///Sets the distance 

  ///

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

  ///Hides the edges

  ///Hides the edges

  ///

  GraphToEps<T> &hideEdges(bool b=true) {_showEdges=!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

  ///

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

  ///Sets whether the the graph is directed

  ///Sets whether the the graph is directed.

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

  GraphToEps<T> &bidir(bool b=true) {_undir=!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.

  ///\todo Multiline copyright notice could be supported.

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

protected:

  bool isInsideNode(xy<double> p, double r,int t) 

  {

    switch(t) {

    case CIRCLE:

      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 calles the algorithm itself, i.e. in this case

  ///it draws the graph.

  void run() {

    if(dontPrint) return;

    _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 (_autoEdgeWidthScale) {

      double max_w=0;

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

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

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

      if(max_w>1e-9) {

	_edgeWidthScale/=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>1e-9) {

	_nodeScale/=max_s;

      }

    }

    BoundingBox<double> bb;

    ///\bug: Chech whether the graph is empty.

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

      double ns=_nodeSizes[n]*_nodeScale;

      xy<double> p(ns,ns);

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

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

    }

    if (bb.empty()) {

      bb = BoundingBox<double>(xy<double>(0,0));

    }

    if(_scaleToA4)

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

    else os << "%%BoundingBox: "

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

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

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

	    << 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 << "/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(_showEdges) {

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

      if(_enableParallel) {

	std::vector<Edge> el;

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

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

	    el.push_back(e);

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

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

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

	    sw+=_edgeWidths[*e]*_edgeWidthScale+_parEdgeDist;

	  sw-=_parEdgeDist;

	  sw/=-2.0;

	  xy<double> dvec(mycoords[g.target(*i)]-mycoords[g.source(*i)]);

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

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

	  xy<double> d(dvec/std::max(l,1e-9));

 	  xy<double> m;

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

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

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

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

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

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

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

	    sw+=_edgeWidths[*e]*_edgeWidthScale/2.0;

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

	    if(_drawArrows) {

	      int node_shape;

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

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

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

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

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

	      double t1=0,t2=1;

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

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

		else t1=(t1+t2)/2;

	      xy<double> apoint=bez((t1+t2)/2);

	      rn = _arrowLength+_edgeWidths[*e]*_edgeWidthScale;

	      rn*=rn;

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

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

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

		else t2=(t1+t2)/2;

	      xy<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 << _edgeWidths[*e]*_edgeWidthScale << " setlinewidth "

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

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

		 << _edgeColors[*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";

	      xy<double> dd(rot90(linend-apoint));

	      dd*=(.5*_edgeWidths[*e]*_edgeWidthScale+_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 << ' '

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

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

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

		 << _edgeWidths[*e]*_edgeWidthScale << " lb\n";

	    }

	    sw+=_edgeWidths[*e]*_edgeWidthScale/2.0+_parEdgeDist;

	  }

	}

      }

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