#include <iostream>

 #include <fstream>

 #include <algorithm>

 #include<math.h>

 #include<lemon/xy.h>

 #include<lemon/maps.h>

 #include<lemon/list_graph.h>

 ///\file \ingroup misc

 ///Simple graph drawer

 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 getR() {return _r;}

   ///Returns the green component

   double getG() {return _g;}

   ///Returns the blue component

   double getB() {return _b;}

   ///Set the color components

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

 };

 ///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;

   ConstMap<typename Graph::Node,xy<double> > _coords;

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

   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 _enableParallel;

   bool _pleaseRemoveOsStream;

   ///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),

     _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),

     _enableParallel(false), _pleaseRemoveOsStream(_pros) {}

 };

 ///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?

 ///

 template<class T> class GraphToEps : public T 

 {

   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;

   bool dontPrint;

   class edgeLess {

     const Graph &g;

   public:

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

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

     {

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

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

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

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

       return ai<bi ||

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

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

     }

   };

 public:

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

   template<class X> struct CoordsTraits : public T {

     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 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 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. 

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

   nodeColors(const X &x)

   {

     dontPrint=true;

     return GraphToEps<NodeColorsTraits<X> >(NodeColorsTraits<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. 

   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

   ///

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

   ///Sets a global scale factor for edge widths

   ///Sets a global scale factor for edge widths

   ///

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

   ///Enables parallel edges

   ///Enables parallel edges

   ///\todo Unimplemented

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

   ~GraphToEps() 

   {

     if(dontPrint) return;

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

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

     BoundingBox<double> bb;

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

       double ns=_nodeSizes[n]*_nodeScale;

       xy<double> p(ns,ns);

       bb+=p+_coords[n];

       bb+=-p+_coords[n];

       }

     os << "%%BoundingBox: "

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

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

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

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

     //x1 y1 x2 y2 cr cg cb w

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

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

     // x y r cr cg cb

     os << "/n { setrgbcolor 2 index 2 index 2 index c fill\n"

 	 << "     0 0 0 setrgbcolor dup "

 	 << _nodeBorderQuotient << " mul setlinewidth "

 	 << 1+_nodeBorderQuotient/2 << " div c stroke\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 << "\ngsave\n";

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

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

     vector<Edge> el;

     if(_enableParallel) {

       for(EdgeIt e(g);e!=INVALID;++e) el.push_back(e);

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

     }

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

       for(OutEdgeIt e(g,n);e!=INVALID;++e)

 	if(_drawArrows) {

 	  xy<double> d(_coords[g.target(e)]-_coords[g.source(e)]);

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

 	  d/=l;

 	  xy<double> x1(d*_nodeScale*_nodeSizes[g.source(e)]+

 			_coords[g.source(e)]);

 	  os << l-(_nodeSizes[g.source(e)]+

 		     _nodeSizes[g.target(e)])*_nodeScale << ' '

 	       << _edgeWidths[e]*_edgeWidthScale << ' '

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

 	       << x1.x << ' ' << x1.y << ' '

 	       << _edgeColors[e].getR() << ' '

 	       << _edgeColors[e].getG() << ' '

 	       << _edgeColors[e].getB() << " arr\n";

 	}

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

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

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

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

 		  << _edgeColors[e].getR() << ' '

 		  << _edgeColors[e].getG() << ' '

 		  << _edgeColors[e].getB() << ' '

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

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

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

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

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

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

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

 	   << _nodeColors[n].getB() << " n\n"; 

     os << "grestore\ngrestore\n";

     //CleanUp:

     if(_pleaseRemoveOsStream) {delete &os;}

   } 

 };

 ///Generates an EPS file from a graph

 ///\ingroup misc

 ///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-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).scale(10).coords(coords)

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

 ///              .edgeWidthScale(.4);

 ///\endcode

 ///\sa GraphToEps

 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 misc

 ///Generates an EPS file from a graph.

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

 ///\param file_name is the output file_name.

 ///

 ///This function also has a lot of \ref named-templ-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).scale(10).coords(coords)

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

 ///              .edgeWidthScale(.4);

 ///\endcode

 ///\sa GraphToEps

 ///\todo Avoid duplicated documentation

 ///\bug Exception handling is missing? (Or we can just ignore it?)

 template<class G>

 GraphToEps<DefaultGraphToEpsTraits<G> > 

 graphToEps(G &g,char *file_name)

 {

   return GraphToEps<DefaultGraphToEpsTraits<G> >

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

 }

 }

 using namespace lemon;

 class ColorSet : public MapBase<int,Color>

 {

 public:

   Color operator[](int i) const

   {

     switch(i%8){

     case 0: return Color(0,0,0);

     case 1: return Color(1,0,0);

     case 2: return Color(0,1,0);

     case 3: return Color(0,0,1);

     case 4: return Color(1,1,0);

     case 5: return Color(1,0,1);

     case 6: return Color(0,1,1);

     case 7: return Color(1,1,1);

     }

     return Color(0,0,0);

   }

 } colorSet;

 int main()

 {

   ListGraph g;

   typedef ListGraph::Node Node;

   typedef ListGraph::NodeIt NodeIt;

   typedef ListGraph::Edge Edge;

   typedef xy<int> Xy;

   Node n1=g.addNode();

   Node n2=g.addNode();

   Node n3=g.addNode();

   Node n4=g.addNode();

   Node n5=g.addNode();

   ListGraph::NodeMap<Xy> coords(g);

   ListGraph::NodeMap<double> sizes(g);

   ListGraph::NodeMap<int> colors(g);

   ListGraph::EdgeMap<int> ecolors(g);

   ListGraph::EdgeMap<int> widths(g);

   coords[n1]=Xy(50,50);  sizes[n1]=1; colors[n1]=1;

   coords[n2]=Xy(50,70);  sizes[n2]=2; colors[n2]=2;

   coords[n3]=Xy(70,70);  sizes[n3]=1; colors[n3]=3;

   coords[n4]=Xy(70,50);  sizes[n4]=2; colors[n4]=4;

   coords[n5]=Xy(85,60);  sizes[n5]=3; colors[n5]=5;

   Edge e;

   e=g.addEdge(n1,n2); ecolors[e]=0; widths[e]=1;

   e=g.addEdge(n2,n3); ecolors[e]=0; widths[e]=1;

   e=g.addEdge(n3,n5); ecolors[e]=0; widths[e]=3;

   e=g.addEdge(n5,n4); ecolors[e]=0; widths[e]=1;

   e=g.addEdge(n4,n1); ecolors[e]=0; widths[e]=1;

   e=g.addEdge(n2,n4); ecolors[e]=1; widths[e]=2;

   e=g.addEdge(n3,n4); ecolors[e]=2; widths[e]=1;

   graphToEps(g,"proba.eps").scale(10).coords(coords).

     nodeScale(2).nodeSizes(sizes).

     nodeColors(composeMap(colorSet,colors)).

     edgeColors(composeMap(colorSet,ecolors)).

     edgeWidthScale(.4).edgeWidths(widths);

   graphToEps(g,"proba_arr.eps").scale(10).coords(coords).

     nodeScale(2).nodeSizes(sizes).

     nodeColors(composeMap(colorSet,colors)).

     edgeColors(composeMap(colorSet,ecolors)).

     edgeWidthScale(.4).edgeWidths(widths).

     drawArrows().arrowWidth(1).arrowLength(1)

     ;

 }