src/work/alpar/smart_graph.h
author alpar
Mon, 15 Mar 2004 16:42:26 +0000
changeset 187 35a2c1fd5d73
parent 186 47cd1716870e
child 209 9a37b8d02d74
permissions -rw-r--r--
.
     1 // -*- mode:C++ -*-
     2 
     3 #ifndef HUGO_SMART_GRAPH_H
     4 #define HUGO_SMART_GRAPH_H
     5 
     6 #include <vector>
     7 #include <limits.h>
     8 
     9 #include <invalid.h>
    10 
    11 namespace hugo {
    12 
    13   class SymSmartGraph;
    14 
    15   ///A smart graph class.
    16 
    17   /// When you read this for the first time,
    18   /// please send an e-mail to alpar\@cs.elte.hu.
    19   ///
    20   ///This is a simple and fast graph implementation.
    21   ///It is also quite memory efficient, but at the price
    22   ///that <b> it does not support node and edge deletion</b>.
    23   ///Apart from this it conforms to the graph interface documented under
    24   ///the description of \ref GraphSkeleton.
    25   ///\sa \ref GraphSkeleton.
    26   class SmartGraph {
    27 
    28     struct NodeT 
    29     {
    30       int first_in,first_out;      
    31       NodeT() : first_in(-1), first_out(-1) {}
    32     };
    33     struct EdgeT 
    34     {
    35       int head, tail, next_in, next_out;      
    36       //FIXME: is this necessary?
    37       EdgeT() : next_in(-1), next_out(-1) {}  
    38     };
    39 
    40     std::vector<NodeT> nodes;
    41 
    42     std::vector<EdgeT> edges;
    43     
    44     protected:
    45     
    46     template <typename Key> class DynMapBase
    47     {
    48     protected:
    49       const SmartGraph* G; 
    50     public:
    51       virtual void add(const Key k) = NULL;
    52       virtual void erase(const Key k) = NULL;
    53       DynMapBase(const SmartGraph &_G) : G(&_G) {}
    54       virtual ~DynMapBase() {}
    55       friend class SmartGraph;
    56     };
    57     
    58   public:
    59     template <typename T> class EdgeMap;
    60     template <typename T> class EdgeMap;
    61 
    62     class Node;
    63     class Edge;
    64 
    65     //  protected:
    66     // HELPME:
    67   protected:
    68     ///\bug It must be public because of SymEdgeMap.
    69     ///
    70     mutable std::vector<DynMapBase<Node> * > dyn_node_maps;
    71     ///\bug It must be public because of SymEdgeMap.
    72     ///
    73     mutable std::vector<DynMapBase<Edge> * > dyn_edge_maps;
    74     
    75   public:
    76 
    77     class NodeIt;
    78     class EdgeIt;
    79     class OutEdgeIt;
    80     class InEdgeIt;
    81     
    82     //     class Node { int n; };
    83     //     class NodeIt : public Node { };
    84     //     class Edge { int n; };
    85     //     class EdgeIt : public Edge {};
    86     //     class OutEdgeIt : public Edge {};
    87     //     class InEdgeIt : public Edge {};
    88     //     class SymEdge;
    89     
    90     template <typename T> class NodeMap;
    91     template <typename T> class EdgeMap;
    92     
    93   public:
    94 
    95     /* default constructor */
    96 
    97     SmartGraph() : nodes(), edges() { }
    98     SmartGraph(const SmartGraph &_g) : nodes(_g.nodes), edges(_g.edges) { }
    99     
   100     ~SmartGraph()
   101     {
   102       for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin();
   103 	  i!=dyn_node_maps.end(); ++i) (**i).G=NULL;
   104       for(std::vector<DynMapBase<Edge> * >::iterator i=dyn_edge_maps.begin();
   105 	  i!=dyn_edge_maps.end(); ++i) (**i).G=NULL;
   106     }
   107 
   108     int nodeNum() const { return nodes.size(); }  //FIXME: What is this?
   109     int edgeNum() const { return edges.size(); }  //FIXME: What is this?
   110 
   111     ///\bug This function does something different than
   112     ///its name would suggests...
   113     int maxNodeId() const { return nodes.size(); }  //FIXME: What is this?
   114     ///\bug This function does something different than
   115     ///its name would suggests...
   116     int maxEdgeId() const { return edges.size(); }  //FIXME: What is this?
   117 
   118     Node tail(Edge e) const { return edges[e.n].tail; }
   119     Node head(Edge e) const { return edges[e.n].head; }
   120 
   121     // Marci
   122     Node aNode(OutEdgeIt e) const { return edges[e.n].tail; }
   123     Node aNode(InEdgeIt e) const { return edges[e.n].head; }
   124 //     //Node aNode(const SymEdge& e) const { return e.aNode(); }
   125 
   126     // Marci
   127     Node bNode(OutEdgeIt e) const { return edges[e.n].head; }
   128     Node bNode(InEdgeIt e) const { return edges[e.n].tail; }
   129 //     //Node bNode(const SymEdge& e) const { return e.bNode(); }
   130 
   131     NodeIt& first(NodeIt& v) const { 
   132       v=NodeIt(*this); return v; }
   133     EdgeIt& first(EdgeIt& e) const { 
   134       e=EdgeIt(*this); return e; }
   135     OutEdgeIt& first(OutEdgeIt& e, const Node v) const { 
   136       e=OutEdgeIt(*this,v); return e; }
   137     InEdgeIt& first(InEdgeIt& e, const Node v) const { 
   138       e=InEdgeIt(*this,v); return e; }
   139 
   140     template< typename It >
   141     It first() const { It e; first(e); return e; }
   142 
   143     template< typename It >
   144     It first(Node v) const { It e; first(e,v); return e; }
   145 
   146     bool valid(Edge e) const { return e.n!=-1; }
   147     bool valid(Node n) const { return n.n!=-1; }
   148     
   149     void setInvalid(Edge &e) { e.n=-1; }
   150     void setInvalid(Node &n) { n.n=-1; }
   151     
   152     template <typename It> It getNext(It it) const
   153     { It tmp(it); return next(tmp); }
   154 
   155     NodeIt& next(NodeIt& it) const { 
   156       it.n=(it.n+2)%(nodes.size()+1)-1; 
   157       return it; 
   158     }
   159     OutEdgeIt& next(OutEdgeIt& it) const
   160     { it.n=edges[it.n].next_out; return it; }
   161     InEdgeIt& next(InEdgeIt& it) const
   162     { it.n=edges[it.n].next_in; return it; }
   163     EdgeIt& next(EdgeIt& it) const { --it.n; return it; }
   164 
   165     int id(Node v) const { return v.n; }
   166     int id(Edge e) const { return e.n; }
   167 
   168     Node addNode() {
   169       Node n; n.n=nodes.size();
   170       nodes.push_back(NodeT()); //FIXME: Hmmm...
   171 
   172       for(std::vector<DynMapBase<Node> * >::iterator i=dyn_node_maps.begin();
   173 	  i!=dyn_node_maps.end(); ++i) (**i).add(n.n);
   174 
   175       return n;
   176     }
   177     
   178     Edge addEdge(Node u, Node v) {
   179       Edge e; e.n=edges.size(); edges.push_back(EdgeT()); //FIXME: Hmmm...
   180       edges[e.n].tail=u.n; edges[e.n].head=v.n;
   181       edges[e.n].next_out=nodes[u.n].first_out;
   182       edges[e.n].next_in=nodes[v.n].first_in;
   183       nodes[u.n].first_out=nodes[v.n].first_in=e.n;
   184 
   185       for(std::vector<DynMapBase<Edge> * >::iterator i=dyn_edge_maps.begin();
   186 	  i!=dyn_edge_maps.end(); ++i) (**i).add(e);
   187 
   188       return e;
   189     }
   190 
   191     void clear() {nodes.clear();edges.clear();}
   192 
   193     class Node {
   194       friend class SmartGraph;
   195       template <typename T> friend class NodeMap;
   196       
   197       friend class Edge;
   198       friend class OutEdgeIt;
   199       friend class InEdgeIt;
   200       friend class SymEdge;
   201 
   202     protected:
   203       int n;
   204       friend int SmartGraph::id(Node v) const; 
   205       Node(int nn) {n=nn;}
   206     public:
   207       Node() {}
   208       Node (Invalid i) { n=-1; }
   209       bool operator==(const Node i) const {return n==i.n;}
   210       bool operator!=(const Node i) const {return n!=i.n;}
   211       bool operator<(const Node i) const {return n<i.n;}
   212     };
   213     
   214     class NodeIt : public Node {
   215       friend class SmartGraph;
   216     public:
   217       NodeIt(const SmartGraph& G) : Node(G.nodes.size()?0:-1) { }
   218       NodeIt() : Node() { }
   219     };
   220 
   221     class Edge {
   222       friend class SmartGraph;
   223       template <typename T> friend class EdgeMap;
   224 
   225       //template <typename T> friend class SymSmartGraph::SymEdgeMap;      
   226       //friend Edge SymSmartGraph::opposite(Edge) const;
   227       
   228       friend class Node;
   229       friend class NodeIt;
   230     protected:
   231       int n;
   232       friend int SmartGraph::id(Edge e) const;
   233 
   234       Edge(int nn) {n=nn;}
   235     public:
   236       Edge() { }
   237       Edge (Invalid) { n=-1; }
   238       bool operator==(const Edge i) const {return n==i.n;}
   239       bool operator!=(const Edge i) const {return n!=i.n;}
   240       bool operator<(const Edge i) const {return n<i.n;}
   241       ///\bug This is a workaround until somebody tells me how to
   242       ///make class \c SymSmartGraph::SymEdgeMap friend of Edge
   243       int &idref() {return n;}
   244       const int &idref() const {return n;}
   245     };
   246     
   247     class EdgeIt : public Edge {
   248       friend class SmartGraph;
   249     public:
   250       EdgeIt(const SmartGraph& G) : Edge(G.edges.size()-1) { }
   251       EdgeIt (Invalid i) : Edge(i) { }
   252       EdgeIt() : Edge() { }
   253       ///\bug This is a workaround until somebody tells me how to
   254       ///make class \c SymSmartGraph::SymEdgeMap friend of Edge
   255       int &idref() {return n;}
   256     };
   257     
   258     class OutEdgeIt : public Edge {
   259       friend class SmartGraph;
   260     public: 
   261       OutEdgeIt() : Edge() { }
   262       OutEdgeIt (Invalid i) : Edge(i) { }
   263 
   264       OutEdgeIt(const SmartGraph& G,const Node v)
   265 	: Edge(G.nodes[v.n].first_out) {}
   266     };
   267     
   268     class InEdgeIt : public Edge {
   269       friend class SmartGraph;
   270     public: 
   271       InEdgeIt() : Edge() { }
   272       InEdgeIt (Invalid i) : Edge(i) { }
   273       InEdgeIt(const SmartGraph& G,Node v) :Edge(G.nodes[v.n].first_in){}
   274     };
   275 
   276     // Map types
   277 
   278 //     // Static Maps are not necessary.
   279 //     template <typename T>
   280 //     class NodeMap {
   281 //       const SmartGraph& G; 
   282 //       std::vector<T> container;
   283 //     public:
   284 //       typedef T ValueType;
   285 //       typedef Node KeyType;
   286 //       NodeMap(const SmartGraph& _G) : G(_G), container(G.maxNodeId()) { }
   287 //       NodeMap(const SmartGraph& _G, T a) : 
   288 // 	G(_G), container(G.maxNodeId(), a) { }
   289 //       void set(Node n, T a) { container[n.n]=a; }
   290 //       T get(Node n) const { return container[n.n]; }
   291 //       T& operator[](Node n) { return container[n.n]; }
   292 //       const T& operator[](Node n) const { return container[n.n]; }
   293 //       void update() { container.resize(G.maxNodeId()); }
   294 //       void update(T a) { container.resize(G.maxNodeId(), a); }
   295 //     };
   296 
   297 //     template <typename T>
   298 //     class EdgeMap {
   299 //       const SmartGraph& G; 
   300 //       std::vector<T> container;
   301 //     public:
   302 //       typedef T ValueType;
   303 //       typedef Edge KeyType;
   304 //       EdgeMap(const SmartGraph& _G) : G(_G), container(G.maxEdgeId()) { }
   305 //       EdgeMap(const SmartGraph& _G, T a) : 
   306 // 	G(_G), container(G.maxEdgeId(), a) { }
   307 //       void set(Edge e, T a) { container[e.n]=a; }
   308 //       T get(Edge e) const { return container[e.n]; }
   309 //       T& operator[](Edge e) { return container[e.n]; } 
   310 //       const T& operator[](Edge e) const { return container[e.n]; } 
   311 //       void update() { container.resize(G.maxEdgeId()); }
   312 //       void update(T a) { container.resize(G.maxEdgeId(), a); }
   313 //     };
   314 
   315     template <typename T> class NodeMap : public DynMapBase<Node>
   316     {
   317       std::vector<T> container;
   318 
   319     public:
   320       typedef T ValueType;
   321       typedef Node KeyType;
   322 
   323       NodeMap(const SmartGraph &_G) :
   324 	DynMapBase<Node>(_G), container(_G.maxNodeId())
   325       {
   326 	G->dyn_node_maps.push_back(this);
   327       }
   328       NodeMap(const SmartGraph &_G,const T &t) :
   329 	DynMapBase<Node>(_G), container(_G.maxNodeId(),t)
   330       {
   331 	G->dyn_node_maps.push_back(this);
   332       }
   333       
   334       NodeMap(const NodeMap<T> &m) :
   335  	DynMapBase<Node>(*m.G), container(m.container)
   336       {
   337  	G->dyn_node_maps.push_back(this);
   338       }
   339 
   340       template<typename TT> friend class NodeMap;
   341  
   342       ///\todo It can copy between different types.
   343       ///
   344       template<typename TT> NodeMap(const NodeMap<TT> &m) :
   345 	DynMapBase<Node>(*m.G)
   346       {
   347 	G->dyn_node_maps.push_back(this);
   348 	typename std::vector<TT>::const_iterator i;
   349 	for(typename std::vector<TT>::const_iterator i=m.container.begin();
   350 	    i!=m.container.end();
   351 	    i++)
   352 	  container.push_back(*i);
   353       }
   354       ~NodeMap()
   355       {
   356 	if(G) {
   357 	  std::vector<DynMapBase<Node>* >::iterator i;
   358 	  for(i=G->dyn_node_maps.begin();
   359 	      i!=G->dyn_node_maps.end() && *i!=this; ++i) ;
   360 	  //if(*i==this) G->dyn_node_maps.erase(i); //FIXME: Way too slow...
   361 	  //A better way to do that: (Is this really important?)
   362 	  if(*i==this) {
   363 	    *i=G->dyn_node_maps.back();
   364 	    G->dyn_node_maps.pop_back();
   365 	  }
   366 	}
   367       }
   368 
   369       void add(const Node k) 
   370       {
   371 	if(k.n>=int(container.size())) container.resize(k.n+1);
   372       }
   373 
   374       void erase(const Node k) { }
   375       
   376       void set(Node n, T a) { container[n.n]=a; }
   377       T get(Node n) const { return container[n.n]; }
   378       T& operator[](Node n) { return container[n.n]; }
   379       const T& operator[](Node n) const { return container[n.n]; }
   380 
   381       ///\warning There is no safety check at all!
   382       ///Using operator = between maps attached to different graph may
   383       ///cause serious problem.
   384       ///\todo Is this really so?
   385       ///\todo It can copy between different types.
   386       const NodeMap<T>& operator=(const NodeMap<T> &m)
   387       {
   388 	container = m.container;
   389 	return *this;
   390       }
   391       template<typename TT>
   392       const NodeMap<T>& operator=(const NodeMap<TT> &m)
   393       {
   394 	copy(m.container.begin(), m.container.end(), container.begin());
   395 	return *this;
   396       }
   397       
   398       void update() {}    //Useless for DynMaps
   399       void update(T a) {}  //Useless for DynMaps
   400     };
   401     
   402     template <typename T> class EdgeMap : public DynMapBase<Edge>
   403     {
   404       std::vector<T> container;
   405 
   406     public:
   407       typedef T ValueType;
   408       typedef Edge KeyType;
   409 
   410       EdgeMap(const SmartGraph &_G) :
   411 	DynMapBase<Edge>(_G), container(_G.maxEdgeId())
   412       {
   413 	//FIXME: What if there are empty Id's?
   414 	//FIXME: Can I use 'this' in a constructor?
   415 	G->dyn_edge_maps.push_back(this);
   416       }
   417       EdgeMap(const SmartGraph &_G,const T &t) :
   418 	DynMapBase<Edge>(_G), container(_G.maxEdgeId(),t)
   419       {
   420 	G->dyn_edge_maps.push_back(this);
   421       } 
   422       EdgeMap(const EdgeMap<T> &m) :
   423  	DynMapBase<Edge>(*m.G), container(m.container)
   424       {
   425  	G->dyn_node_maps.push_back(this);
   426       }
   427 
   428       template<typename TT> friend class EdgeMap;
   429 
   430       ///\todo It can copy between different types.
   431       ///
   432       template<typename TT> EdgeMap(const EdgeMap<TT> &m) :
   433 	DynMapBase<Edge>(*m.G)
   434       {
   435 	G->dyn_node_maps.push_back(this);
   436 	typename std::vector<TT>::const_iterator i;
   437 	for(typename std::vector<TT>::const_iterator i=m.container.begin();
   438 	    i!=m.container.end();
   439 	    i++)
   440 	  container.push_back(*i);
   441       }
   442       ~EdgeMap()
   443       {
   444 	if(G) {
   445 	  std::vector<DynMapBase<Edge>* >::iterator i;
   446 	  for(i=G->dyn_edge_maps.begin();
   447 	      i!=G->dyn_edge_maps.end() && *i!=this; ++i) ;
   448 	  //if(*i==this) G->dyn_edge_maps.erase(i); //Way too slow...
   449 	  //A better way to do that: (Is this really important?)
   450 	  if(*i==this) {
   451 	    *i=G->dyn_edge_maps.back();
   452 	    G->dyn_edge_maps.pop_back();
   453 	  }
   454 	}
   455       }
   456       
   457       void add(const Edge k) 
   458       {
   459 	if(k.n>=int(container.size())) container.resize(k.n+1);
   460       }
   461       void erase(const Edge k) { }
   462       
   463       void set(Edge n, T a) { container[n.n]=a; }
   464       T get(Edge n) const { return container[n.n]; }
   465       T& operator[](Edge n) { return container[n.n]; }
   466       const T& operator[](Edge n) const { return container[n.n]; }
   467 
   468       ///\warning There is no safety check at all!
   469       ///Using operator = between maps attached to different graph may
   470       ///cause serious problem.
   471       ///\todo Is this really so?
   472       ///\todo It can copy between different types.
   473       const EdgeMap<T>& operator=(const EdgeMap<T> &m)
   474       {
   475 	container = m.container;
   476 	return *this;
   477       }
   478       template<typename TT>
   479       const EdgeMap<T>& operator=(const EdgeMap<TT> &m)
   480       {
   481 	copy(m.container.begin(), m.container.end(), container.begin());
   482 	return *this;
   483       }
   484       
   485       void update() {}    //Useless for DynMaps
   486       void update(T a) {}  //Useless for DynMaps
   487     };
   488 
   489   };
   490 
   491   ///Graph for bidirectional edges.
   492 
   493   ///The purpose of this graph structure is to handle graphs
   494   ///having bidirectional edges. Here the function \c addEdge(u,v) adds a pair
   495   ///of oppositely directed edges.
   496   ///There is a new edge map type called
   497   ///\ref SymSmartGraph::SymEdgeMap "SymEdgeMap"
   498   ///that complements this
   499   ///feature by
   500   ///storing shared values for the edge pairs. The usual
   501   ///\ref GraphSkeleton::EdgeMap "EdgeMap"
   502   ///can be used
   503   ///as well.
   504   ///
   505   ///The oppositely directed edge can also be obtained easily
   506   ///using \ref opposite.
   507   ///\warning It shares the similarity with \ref SmartGraph that
   508   ///it is not possible to delete edges or nodes from the graph.
   509   //\sa \ref SmartGraph.
   510 
   511   class SymSmartGraph : public SmartGraph
   512   {
   513   public:
   514     template<typename T> class SymEdgeMap;
   515     template<typename T> friend class SymEdgeMap;
   516 
   517     SymSmartGraph() : SmartGraph() { }
   518     SymSmartGraph(const SmartGraph &_g) : SmartGraph(_g) { }
   519     Edge addEdge(Node u, Node v)
   520     {
   521       Edge e = SmartGraph::addEdge(u,v);
   522       SmartGraph::addEdge(v,u);
   523       return e;
   524     }
   525 
   526     ///The oppositely directed edge.
   527 
   528     ///Returns the oppositely directed
   529     ///pair of the edge \c e.
   530     Edge opposite(Edge e) const
   531     {
   532       Edge f;
   533       f.idref() = e.idref() - 2*(e.idref()%2) + 1;
   534       return f;
   535     }
   536     
   537     ///Common data storage for the edge pairs.
   538 
   539     ///This map makes it possible to store data shared by the oppositely
   540     ///directed pairs of edges.
   541     template <typename T> class SymEdgeMap : public DynMapBase<Edge>
   542     {
   543       std::vector<T> container;
   544       
   545     public:
   546       typedef T ValueType;
   547       typedef Edge KeyType;
   548 
   549       SymEdgeMap(const SymSmartGraph &_G) :
   550 	DynMapBase<Edge>(_G), container(_G.maxEdgeId()/2)
   551       {
   552 	static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.push_back(this);
   553       }
   554       SymEdgeMap(const SymSmartGraph &_G,const T &t) :
   555 	DynMapBase<Edge>(_G), container(_G.maxEdgeId()/2,t)
   556       {
   557 	G->dyn_edge_maps.push_back(this);
   558       }
   559 
   560       SymEdgeMap(const SymEdgeMap<T> &m) :
   561  	DynMapBase<SymEdge>(*m.G), container(m.container)
   562       {
   563  	G->dyn_node_maps.push_back(this);
   564       }
   565 
   566       //      template<typename TT> friend class SymEdgeMap;
   567 
   568       ///\todo It can copy between different types.
   569       ///
   570 
   571       template<typename TT> SymEdgeMap(const SymEdgeMap<TT> &m) :
   572 	DynMapBase<SymEdge>(*m.G)
   573       {
   574 	G->dyn_node_maps.push_back(this);
   575 	typename std::vector<TT>::const_iterator i;
   576 	for(typename std::vector<TT>::const_iterator i=m.container.begin();
   577 	    i!=m.container.end();
   578 	    i++)
   579 	  container.push_back(*i);
   580       }
   581  
   582       ~SymEdgeMap()
   583       {
   584 	if(G) {
   585 	  std::vector<DynMapBase<Edge>* >::iterator i;
   586 	  for(i=static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.begin();
   587 	      i!=static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.end()
   588 		&& *i!=this; ++i) ;
   589 	  //if(*i==this) G->dyn_edge_maps.erase(i); //Way too slow...
   590 	  //A better way to do that: (Is this really important?)
   591 	  if(*i==this) {
   592 	    *i=static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.back();
   593 	    static_cast<const SymSmartGraph*>(G)->dyn_edge_maps.pop_back();
   594 	  }
   595 	}
   596       }
   597       
   598       void add(const Edge k) 
   599       {
   600 	if(!k.idref()%2&&k.idref()/2>=int(container.size()))
   601 	  container.resize(k.idref()/2+1);
   602       }
   603       void erase(const Edge k) { }
   604       
   605       void set(Edge n, T a) { container[n.idref()/2]=a; }
   606       T get(Edge n) const { return container[n.idref()/2]; }
   607       T& operator[](Edge n) { return container[n.idref()/2]; }
   608       const T& operator[](Edge n) const { return container[n.idref()/2]; }
   609 
   610       ///\warning There is no safety check at all!
   611       ///Using operator = between maps attached to different graph may
   612       ///cause serious problem.
   613       ///\todo Is this really so?
   614       ///\todo It can copy between different types.
   615       const SymEdgeMap<T>& operator=(const SymEdgeMap<T> &m)
   616       {
   617 	container = m.container;
   618 	return *this;
   619       }
   620       template<typename TT>
   621       const SymEdgeMap<T>& operator=(const SymEdgeMap<TT> &m)
   622       {
   623 	copy(m.container.begin(), m.container.end(), container.begin());
   624 	return *this;
   625       }
   626       
   627       void update() {}    //Useless for DynMaps
   628       void update(T a) {}  //Useless for DynMaps
   629 
   630     };
   631 
   632   };
   633   
   634   
   635 } //namespace hugo
   636 
   637 
   638 
   639 
   640 #endif //SMART_GRAPH_H