lemon/core.h
changeset 299 907446600ca9
parent 233 28239207a8a3
child 300 8c05947fc107
equal deleted inserted replaced
3:16844a528923 4:8b39b894a76c
    56 #endif
    56 #endif
    57 
    57 
    58   /// \addtogroup gutils
    58   /// \addtogroup gutils
    59   /// @{
    59   /// @{
    60 
    60 
    61   ///Creates convenience typedefs for the digraph types and iterators
    61   ///Create convenient typedefs for the digraph types and iterators
    62 
    62 
    63   ///This \c \#define creates convenience typedefs for the following types
    63   ///This \c \#define creates convenient type definitions for the following
    64   ///of \c Digraph: \c Node,  \c NodeIt, \c Arc, \c ArcIt, \c InArcIt,
    64   ///types of \c Digraph: \c Node,  \c NodeIt, \c Arc, \c ArcIt, \c InArcIt,
    65   ///\c OutArcIt, \c BoolNodeMap, \c IntNodeMap, \c DoubleNodeMap,
    65   ///\c OutArcIt, \c BoolNodeMap, \c IntNodeMap, \c DoubleNodeMap,
    66   ///\c BoolArcMap, \c IntArcMap, \c DoubleArcMap.
    66   ///\c BoolArcMap, \c IntArcMap, \c DoubleArcMap.
    67   ///
    67   ///
    68   ///\note If the graph type is a dependent type, ie. the graph type depend
    68   ///\note If the graph type is a dependent type, ie. the graph type depend
    69   ///on a template parameter, then use \c TEMPLATE_DIGRAPH_TYPEDEFS()
    69   ///on a template parameter, then use \c TEMPLATE_DIGRAPH_TYPEDEFS()
    78   typedef Digraph::NodeMap<bool> BoolNodeMap;                           \
    78   typedef Digraph::NodeMap<bool> BoolNodeMap;                           \
    79   typedef Digraph::NodeMap<int> IntNodeMap;                             \
    79   typedef Digraph::NodeMap<int> IntNodeMap;                             \
    80   typedef Digraph::NodeMap<double> DoubleNodeMap;                       \
    80   typedef Digraph::NodeMap<double> DoubleNodeMap;                       \
    81   typedef Digraph::ArcMap<bool> BoolArcMap;                             \
    81   typedef Digraph::ArcMap<bool> BoolArcMap;                             \
    82   typedef Digraph::ArcMap<int> IntArcMap;                               \
    82   typedef Digraph::ArcMap<int> IntArcMap;                               \
    83   typedef Digraph::ArcMap<double> DoubleArcMap
    83   typedef Digraph::ArcMap<double> DoubleArcMap;
    84 
    84 
    85   ///Creates convenience typedefs for the digraph types and iterators
    85   ///Create convenient typedefs for the digraph types and iterators
    86 
    86 
    87   ///\see DIGRAPH_TYPEDEFS
    87   ///\see DIGRAPH_TYPEDEFS
    88   ///
    88   ///
    89   ///\note Use this macro, if the graph type is a dependent type,
    89   ///\note Use this macro, if the graph type is a dependent type,
    90   ///ie. the graph type depend on a template parameter.
    90   ///ie. the graph type depend on a template parameter.
    98   typedef typename Digraph::template NodeMap<bool> BoolNodeMap;         \
    98   typedef typename Digraph::template NodeMap<bool> BoolNodeMap;         \
    99   typedef typename Digraph::template NodeMap<int> IntNodeMap;           \
    99   typedef typename Digraph::template NodeMap<int> IntNodeMap;           \
   100   typedef typename Digraph::template NodeMap<double> DoubleNodeMap;     \
   100   typedef typename Digraph::template NodeMap<double> DoubleNodeMap;     \
   101   typedef typename Digraph::template ArcMap<bool> BoolArcMap;           \
   101   typedef typename Digraph::template ArcMap<bool> BoolArcMap;           \
   102   typedef typename Digraph::template ArcMap<int> IntArcMap;             \
   102   typedef typename Digraph::template ArcMap<int> IntArcMap;             \
   103   typedef typename Digraph::template ArcMap<double> DoubleArcMap
   103   typedef typename Digraph::template ArcMap<double> DoubleArcMap;
   104 
   104 
   105   ///Creates convenience typedefs for the graph types and iterators
   105   ///Create convenient typedefs for the graph types and iterators
   106 
   106 
   107   ///This \c \#define creates the same convenience typedefs as defined
   107   ///This \c \#define creates the same convenient type definitions as defined
   108   ///by \ref DIGRAPH_TYPEDEFS(Graph) and six more, namely it creates
   108   ///by \ref DIGRAPH_TYPEDEFS(Graph) and six more, namely it creates
   109   ///\c Edge, \c EdgeIt, \c IncEdgeIt, \c BoolEdgeMap, \c IntEdgeMap,
   109   ///\c Edge, \c EdgeIt, \c IncEdgeIt, \c BoolEdgeMap, \c IntEdgeMap,
   110   ///\c DoubleEdgeMap.
   110   ///\c DoubleEdgeMap.
   111   ///
   111   ///
   112   ///\note If the graph type is a dependent type, ie. the graph type depend
   112   ///\note If the graph type is a dependent type, ie. the graph type depend
   113   ///on a template parameter, then use \c TEMPLATE_DIGRAPH_TYPEDEFS()
   113   ///on a template parameter, then use \c TEMPLATE_GRAPH_TYPEDEFS()
   114   ///macro.
   114   ///macro.
   115 #define GRAPH_TYPEDEFS(Graph)                                           \
   115 #define GRAPH_TYPEDEFS(Graph)                                           \
   116   DIGRAPH_TYPEDEFS(Graph);                                              \
   116   DIGRAPH_TYPEDEFS(Graph);                                              \
   117   typedef Graph::Edge Edge;                                             \
   117   typedef Graph::Edge Edge;                                             \
   118   typedef Graph::EdgeIt EdgeIt;                                         \
   118   typedef Graph::EdgeIt EdgeIt;                                         \
   119   typedef Graph::IncEdgeIt IncEdgeIt;                                   \
   119   typedef Graph::IncEdgeIt IncEdgeIt;                                   \
   120   typedef Graph::EdgeMap<bool> BoolEdgeMap;                             \
   120   typedef Graph::EdgeMap<bool> BoolEdgeMap;                             \
   121   typedef Graph::EdgeMap<int> IntEdgeMap;                               \
   121   typedef Graph::EdgeMap<int> IntEdgeMap;                               \
   122   typedef Graph::EdgeMap<double> DoubleEdgeMap
   122   typedef Graph::EdgeMap<double> DoubleEdgeMap;
   123 
   123 
   124   ///Creates convenience typedefs for the graph types and iterators
   124   ///Create convenient typedefs for the graph types and iterators
   125 
   125 
   126   ///\see GRAPH_TYPEDEFS
   126   ///\see GRAPH_TYPEDEFS
   127   ///
   127   ///
   128   ///\note Use this macro, if the graph type is a dependent type,
   128   ///\note Use this macro, if the graph type is a dependent type,
   129   ///ie. the graph type depend on a template parameter.
   129   ///ie. the graph type depend on a template parameter.
   132   typedef typename Graph::Edge Edge;                                    \
   132   typedef typename Graph::Edge Edge;                                    \
   133   typedef typename Graph::EdgeIt EdgeIt;                                \
   133   typedef typename Graph::EdgeIt EdgeIt;                                \
   134   typedef typename Graph::IncEdgeIt IncEdgeIt;                          \
   134   typedef typename Graph::IncEdgeIt IncEdgeIt;                          \
   135   typedef typename Graph::template EdgeMap<bool> BoolEdgeMap;           \
   135   typedef typename Graph::template EdgeMap<bool> BoolEdgeMap;           \
   136   typedef typename Graph::template EdgeMap<int> IntEdgeMap;             \
   136   typedef typename Graph::template EdgeMap<int> IntEdgeMap;             \
   137   typedef typename Graph::template EdgeMap<double> DoubleEdgeMap
   137   typedef typename Graph::template EdgeMap<double> DoubleEdgeMap;
   138 
   138 
   139   /// \brief Function to count the items in the graph.
   139   /// \brief Function to count the items in a graph.
   140   ///
   140   ///
   141   /// This function counts the items (nodes, arcs etc) in the graph.
   141   /// This function counts the items (nodes, arcs etc.) in a graph.
   142   /// The complexity of the function is O(n) because
   142   /// The complexity of the function is linear because
   143   /// it iterates on all of the items.
   143   /// it iterates on all of the items.
   144   template <typename Graph, typename Item>
   144   template <typename Graph, typename Item>
   145   inline int countItems(const Graph& g) {
   145   inline int countItems(const Graph& g) {
   146     typedef typename ItemSetTraits<Graph, Item>::ItemIt ItemIt;
   146     typedef typename ItemSetTraits<Graph, Item>::ItemIt ItemIt;
   147     int num = 0;
   147     int num = 0;
   174   }
   174   }
   175 
   175 
   176   /// \brief Function to count the nodes in the graph.
   176   /// \brief Function to count the nodes in the graph.
   177   ///
   177   ///
   178   /// This function counts the nodes in the graph.
   178   /// This function counts the nodes in the graph.
   179   /// The complexity of the function is O(n) but for some
   179   /// The complexity of the function is <em>O</em>(<em>n</em>), but for some
   180   /// graph structures it is specialized to run in O(1).
   180   /// graph structures it is specialized to run in <em>O</em>(1).
   181   ///
   181   ///
   182   /// If the graph contains a \e nodeNum() member function and a
   182   /// \note If the graph contains a \c nodeNum() member function and a
   183   /// \e NodeNumTag tag then this function calls directly the member
   183   /// \c NodeNumTag tag then this function calls directly the member
   184   /// function to query the cardinality of the node set.
   184   /// function to query the cardinality of the node set.
   185   template <typename Graph>
   185   template <typename Graph>
   186   inline int countNodes(const Graph& g) {
   186   inline int countNodes(const Graph& g) {
   187     return _core_bits::CountNodesSelector<Graph>::count(g);
   187     return _core_bits::CountNodesSelector<Graph>::count(g);
   188   }
   188   }
   210   }
   210   }
   211 
   211 
   212   /// \brief Function to count the arcs in the graph.
   212   /// \brief Function to count the arcs in the graph.
   213   ///
   213   ///
   214   /// This function counts the arcs in the graph.
   214   /// This function counts the arcs in the graph.
   215   /// The complexity of the function is O(e) but for some
   215   /// The complexity of the function is <em>O</em>(<em>m</em>), but for some
   216   /// graph structures it is specialized to run in O(1).
   216   /// graph structures it is specialized to run in <em>O</em>(1).
   217   ///
   217   ///
   218   /// If the graph contains a \e arcNum() member function and a
   218   /// \note If the graph contains a \c arcNum() member function and a
   219   /// \e EdgeNumTag tag then this function calls directly the member
   219   /// \c ArcNumTag tag then this function calls directly the member
   220   /// function to query the cardinality of the arc set.
   220   /// function to query the cardinality of the arc set.
   221   template <typename Graph>
   221   template <typename Graph>
   222   inline int countArcs(const Graph& g) {
   222   inline int countArcs(const Graph& g) {
   223     return _core_bits::CountArcsSelector<Graph>::count(g);
   223     return _core_bits::CountArcsSelector<Graph>::count(g);
   224   }
   224   }
   225 
   225 
   226   // Edge counting:
   226   // Edge counting:
       
   227 
   227   namespace _core_bits {
   228   namespace _core_bits {
   228 
   229 
   229     template <typename Graph, typename Enable = void>
   230     template <typename Graph, typename Enable = void>
   230     struct CountEdgesSelector {
   231     struct CountEdgesSelector {
   231       static int count(const Graph &g) {
   232       static int count(const Graph &g) {
   245   }
   246   }
   246 
   247 
   247   /// \brief Function to count the edges in the graph.
   248   /// \brief Function to count the edges in the graph.
   248   ///
   249   ///
   249   /// This function counts the edges in the graph.
   250   /// This function counts the edges in the graph.
   250   /// The complexity of the function is O(m) but for some
   251   /// The complexity of the function is <em>O</em>(<em>m</em>), but for some
   251   /// graph structures it is specialized to run in O(1).
   252   /// graph structures it is specialized to run in <em>O</em>(1).
   252   ///
   253   ///
   253   /// If the graph contains a \e edgeNum() member function and a
   254   /// \note If the graph contains a \c edgeNum() member function and a
   254   /// \e EdgeNumTag tag then this function calls directly the member
   255   /// \c EdgeNumTag tag then this function calls directly the member
   255   /// function to query the cardinality of the edge set.
   256   /// function to query the cardinality of the edge set.
   256   template <typename Graph>
   257   template <typename Graph>
   257   inline int countEdges(const Graph& g) {
   258   inline int countEdges(const Graph& g) {
   258     return _core_bits::CountEdgesSelector<Graph>::count(g);
   259     return _core_bits::CountEdgesSelector<Graph>::count(g);
   259 
   260 
   270   }
   271   }
   271 
   272 
   272   /// \brief Function to count the number of the out-arcs from node \c n.
   273   /// \brief Function to count the number of the out-arcs from node \c n.
   273   ///
   274   ///
   274   /// This function counts the number of the out-arcs from node \c n
   275   /// This function counts the number of the out-arcs from node \c n
   275   /// in the graph.
   276   /// in the graph \c g.
   276   template <typename Graph>
   277   template <typename Graph>
   277   inline int countOutArcs(const Graph& _g,  const typename Graph::Node& _n) {
   278   inline int countOutArcs(const Graph& g,  const typename Graph::Node& n) {
   278     return countNodeDegree<Graph, typename Graph::OutArcIt>(_g, _n);
   279     return countNodeDegree<Graph, typename Graph::OutArcIt>(g, n);
   279   }
   280   }
   280 
   281 
   281   /// \brief Function to count the number of the in-arcs to node \c n.
   282   /// \brief Function to count the number of the in-arcs to node \c n.
   282   ///
   283   ///
   283   /// This function counts the number of the in-arcs to node \c n
   284   /// This function counts the number of the in-arcs to node \c n
   284   /// in the graph.
   285   /// in the graph \c g.
   285   template <typename Graph>
   286   template <typename Graph>
   286   inline int countInArcs(const Graph& _g,  const typename Graph::Node& _n) {
   287   inline int countInArcs(const Graph& g,  const typename Graph::Node& n) {
   287     return countNodeDegree<Graph, typename Graph::InArcIt>(_g, _n);
   288     return countNodeDegree<Graph, typename Graph::InArcIt>(g, n);
   288   }
   289   }
   289 
   290 
   290   /// \brief Function to count the number of the inc-edges to node \c n.
   291   /// \brief Function to count the number of the inc-edges to node \c n.
   291   ///
   292   ///
   292   /// This function counts the number of the inc-edges to node \c n
   293   /// This function counts the number of the inc-edges to node \c n
   293   /// in the graph.
   294   /// in the undirected graph \c g.
   294   template <typename Graph>
   295   template <typename Graph>
   295   inline int countIncEdges(const Graph& _g,  const typename Graph::Node& _n) {
   296   inline int countIncEdges(const Graph& g,  const typename Graph::Node& n) {
   296     return countNodeDegree<Graph, typename Graph::IncEdgeIt>(_g, _n);
   297     return countNodeDegree<Graph, typename Graph::IncEdgeIt>(g, n);
   297   }
   298   }
   298 
   299 
   299   namespace _core_bits {
   300   namespace _core_bits {
   300 
   301 
   301     template <typename Digraph, typename Item, typename RefMap>
   302     template <typename Digraph, typename Item, typename RefMap>
   305 
   306 
   306       virtual ~MapCopyBase() {}
   307       virtual ~MapCopyBase() {}
   307     };
   308     };
   308 
   309 
   309     template <typename Digraph, typename Item, typename RefMap,
   310     template <typename Digraph, typename Item, typename RefMap,
   310               typename ToMap, typename FromMap>
   311               typename FromMap, typename ToMap>
   311     class MapCopy : public MapCopyBase<Digraph, Item, RefMap> {
   312     class MapCopy : public MapCopyBase<Digraph, Item, RefMap> {
   312     public:
   313     public:
   313 
   314 
   314       MapCopy(ToMap& tmap, const FromMap& map)
   315       MapCopy(const FromMap& map, ToMap& tmap)
   315         : _tmap(tmap), _map(map) {}
   316         : _map(map), _tmap(tmap) {}
   316 
   317 
   317       virtual void copy(const Digraph& digraph, const RefMap& refMap) {
   318       virtual void copy(const Digraph& digraph, const RefMap& refMap) {
   318         typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt;
   319         typedef typename ItemSetTraits<Digraph, Item>::ItemIt ItemIt;
   319         for (ItemIt it(digraph); it != INVALID; ++it) {
   320         for (ItemIt it(digraph); it != INVALID; ++it) {
   320           _tmap.set(refMap[it], _map[it]);
   321           _tmap.set(refMap[it], _map[it]);
   321         }
   322         }
   322       }
   323       }
   323 
   324 
   324     private:
   325     private:
       
   326       const FromMap& _map;
   325       ToMap& _tmap;
   327       ToMap& _tmap;
   326       const FromMap& _map;
       
   327     };
   328     };
   328 
   329 
   329     template <typename Digraph, typename Item, typename RefMap, typename It>
   330     template <typename Digraph, typename Item, typename RefMap, typename It>
   330     class ItemCopy : public MapCopyBase<Digraph, Item, RefMap> {
   331     class ItemCopy : public MapCopyBase<Digraph, Item, RefMap> {
   331     public:
   332     public:
   332 
   333 
   333       ItemCopy(It& it, const Item& item) : _it(it), _item(item) {}
   334       ItemCopy(const Item& item, It& it) : _item(item), _it(it) {}
   334 
   335 
   335       virtual void copy(const Digraph&, const RefMap& refMap) {
   336       virtual void copy(const Digraph&, const RefMap& refMap) {
   336         _it = refMap[_item];
   337         _it = refMap[_item];
   337       }
   338       }
   338 
   339 
   339     private:
   340     private:
       
   341       Item _item;
   340       It& _it;
   342       It& _it;
   341       Item _item;
       
   342     };
   343     };
   343 
   344 
   344     template <typename Digraph, typename Item, typename RefMap, typename Ref>
   345     template <typename Digraph, typename Item, typename RefMap, typename Ref>
   345     class RefCopy : public MapCopyBase<Digraph, Item, RefMap> {
   346     class RefCopy : public MapCopyBase<Digraph, Item, RefMap> {
   346     public:
   347     public:
   377     };
   378     };
   378 
   379 
   379     template <typename Digraph, typename Enable = void>
   380     template <typename Digraph, typename Enable = void>
   380     struct DigraphCopySelector {
   381     struct DigraphCopySelector {
   381       template <typename From, typename NodeRefMap, typename ArcRefMap>
   382       template <typename From, typename NodeRefMap, typename ArcRefMap>
   382       static void copy(Digraph &to, const From& from,
   383       static void copy(const From& from, Digraph &to,
   383                        NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
   384                        NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
   384         for (typename From::NodeIt it(from); it != INVALID; ++it) {
   385         for (typename From::NodeIt it(from); it != INVALID; ++it) {
   385           nodeRefMap[it] = to.addNode();
   386           nodeRefMap[it] = to.addNode();
   386         }
   387         }
   387         for (typename From::ArcIt it(from); it != INVALID; ++it) {
   388         for (typename From::ArcIt it(from); it != INVALID; ++it) {
   395     struct DigraphCopySelector<
   396     struct DigraphCopySelector<
   396       Digraph,
   397       Digraph,
   397       typename enable_if<typename Digraph::BuildTag, void>::type>
   398       typename enable_if<typename Digraph::BuildTag, void>::type>
   398     {
   399     {
   399       template <typename From, typename NodeRefMap, typename ArcRefMap>
   400       template <typename From, typename NodeRefMap, typename ArcRefMap>
   400       static void copy(Digraph &to, const From& from,
   401       static void copy(const From& from, Digraph &to,
   401                        NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
   402                        NodeRefMap& nodeRefMap, ArcRefMap& arcRefMap) {
   402         to.build(from, nodeRefMap, arcRefMap);
   403         to.build(from, nodeRefMap, arcRefMap);
   403       }
   404       }
   404     };
   405     };
   405 
   406 
   406     template <typename Graph, typename Enable = void>
   407     template <typename Graph, typename Enable = void>
   407     struct GraphCopySelector {
   408     struct GraphCopySelector {
   408       template <typename From, typename NodeRefMap, typename EdgeRefMap>
   409       template <typename From, typename NodeRefMap, typename EdgeRefMap>
   409       static void copy(Graph &to, const From& from,
   410       static void copy(const From& from, Graph &to,
   410                        NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
   411                        NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
   411         for (typename From::NodeIt it(from); it != INVALID; ++it) {
   412         for (typename From::NodeIt it(from); it != INVALID; ++it) {
   412           nodeRefMap[it] = to.addNode();
   413           nodeRefMap[it] = to.addNode();
   413         }
   414         }
   414         for (typename From::EdgeIt it(from); it != INVALID; ++it) {
   415         for (typename From::EdgeIt it(from); it != INVALID; ++it) {
   422     struct GraphCopySelector<
   423     struct GraphCopySelector<
   423       Graph,
   424       Graph,
   424       typename enable_if<typename Graph::BuildTag, void>::type>
   425       typename enable_if<typename Graph::BuildTag, void>::type>
   425     {
   426     {
   426       template <typename From, typename NodeRefMap, typename EdgeRefMap>
   427       template <typename From, typename NodeRefMap, typename EdgeRefMap>
   427       static void copy(Graph &to, const From& from,
   428       static void copy(const From& from, Graph &to,
   428                        NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
   429                        NodeRefMap& nodeRefMap, EdgeRefMap& edgeRefMap) {
   429         to.build(from, nodeRefMap, edgeRefMap);
   430         to.build(from, nodeRefMap, edgeRefMap);
   430       }
   431       }
   431     };
   432     };
   432 
   433 
   433   }
   434   }
   434 
   435 
   435   /// \brief Class to copy a digraph.
   436   /// \brief Class to copy a digraph.
   436   ///
   437   ///
   437   /// Class to copy a digraph to another digraph (duplicate a digraph). The
   438   /// Class to copy a digraph to another digraph (duplicate a digraph). The
   438   /// simplest way of using it is through the \c copyDigraph() function.
   439   /// simplest way of using it is through the \c digraphCopy() function.
   439   ///
   440   ///
   440   /// This class not just make a copy of a graph, but it can create
   441   /// This class not only make a copy of a digraph, but it can create
   441   /// references and cross references between the nodes and arcs of
   442   /// references and cross references between the nodes and arcs of
   442   /// the two graphs, it can copy maps for use with the newly created
   443   /// the two digraphs, and it can copy maps to use with the newly created
   443   /// graph and copy nodes and arcs.
   444   /// digraph.
   444   ///
   445   ///
   445   /// To make a copy from a graph, first an instance of DigraphCopy
   446   /// To make a copy from a digraph, first an instance of DigraphCopy
   446   /// should be created, then the data belongs to the graph should
   447   /// should be created, then the data belongs to the digraph should
   447   /// assigned to copy. In the end, the \c run() member should be
   448   /// assigned to copy. In the end, the \c run() member should be
   448   /// called.
   449   /// called.
   449   ///
   450   ///
   450   /// The next code copies a graph with several data:
   451   /// The next code copies a digraph with several data:
   451   ///\code
   452   ///\code
   452   ///  DigraphCopy<NewGraph, OrigGraph> dc(new_graph, orig_graph);
   453   ///  DigraphCopy<OrigGraph, NewGraph> cg(orig_graph, new_graph);
   453   ///  // create a reference for the nodes
   454   ///  // Create references for the nodes
   454   ///  OrigGraph::NodeMap<NewGraph::Node> nr(orig_graph);
   455   ///  OrigGraph::NodeMap<NewGraph::Node> nr(orig_graph);
   455   ///  dc.nodeRef(nr);
   456   ///  cg.nodeRef(nr);
   456   ///  // create a cross reference (inverse) for the arcs
   457   ///  // Create cross references (inverse) for the arcs
   457   ///  NewGraph::ArcMap<OrigGraph::Arc> acr(new_graph);
   458   ///  NewGraph::ArcMap<OrigGraph::Arc> acr(new_graph);
   458   ///  dc.arcCrossRef(acr);
   459   ///  cg.arcCrossRef(acr);
   459   ///  // copy an arc map
   460   ///  // Copy an arc map
   460   ///  OrigGraph::ArcMap<double> oamap(orig_graph);
   461   ///  OrigGraph::ArcMap<double> oamap(orig_graph);
   461   ///  NewGraph::ArcMap<double> namap(new_graph);
   462   ///  NewGraph::ArcMap<double> namap(new_graph);
   462   ///  dc.arcMap(namap, oamap);
   463   ///  cg.arcMap(oamap, namap);
   463   ///  // copy a node
   464   ///  // Copy a node
   464   ///  OrigGraph::Node on;
   465   ///  OrigGraph::Node on;
   465   ///  NewGraph::Node nn;
   466   ///  NewGraph::Node nn;
   466   ///  dc.node(nn, on);
   467   ///  cg.node(on, nn);
   467   ///  // Executions of copy
   468   ///  // Execute copying
   468   ///  dc.run();
   469   ///  cg.run();
   469   ///\endcode
   470   ///\endcode
   470   template <typename To, typename From>
   471   template <typename From, typename To>
   471   class DigraphCopy {
   472   class DigraphCopy {
   472   private:
   473   private:
   473 
   474 
   474     typedef typename From::Node Node;
   475     typedef typename From::Node Node;
   475     typedef typename From::NodeIt NodeIt;
   476     typedef typename From::NodeIt NodeIt;
   480     typedef typename To::Arc TArc;
   481     typedef typename To::Arc TArc;
   481 
   482 
   482     typedef typename From::template NodeMap<TNode> NodeRefMap;
   483     typedef typename From::template NodeMap<TNode> NodeRefMap;
   483     typedef typename From::template ArcMap<TArc> ArcRefMap;
   484     typedef typename From::template ArcMap<TArc> ArcRefMap;
   484 
   485 
   485 
       
   486   public:
   486   public:
   487 
   487 
   488 
   488     /// \brief Constructor of DigraphCopy.
   489     /// \brief Constructor for the DigraphCopy.
   489     ///
   490     ///
   490     /// Constructor of DigraphCopy for copying the content of the
   491     /// It copies the content of the \c _from digraph into the
   491     /// \c from digraph into the \c to digraph.
   492     /// \c _to digraph.
   492     DigraphCopy(const From& from, To& to)
   493     DigraphCopy(To& to, const From& from)
       
   494       : _from(from), _to(to) {}
   493       : _from(from), _to(to) {}
   495 
   494 
   496     /// \brief Destructor of the DigraphCopy
   495     /// \brief Destructor of DigraphCopy
   497     ///
   496     ///
   498     /// Destructor of the DigraphCopy
   497     /// Destructor of DigraphCopy.
   499     ~DigraphCopy() {
   498     ~DigraphCopy() {
   500       for (int i = 0; i < int(_node_maps.size()); ++i) {
   499       for (int i = 0; i < int(_node_maps.size()); ++i) {
   501         delete _node_maps[i];
   500         delete _node_maps[i];
   502       }
   501       }
   503       for (int i = 0; i < int(_arc_maps.size()); ++i) {
   502       for (int i = 0; i < int(_arc_maps.size()); ++i) {
   504         delete _arc_maps[i];
   503         delete _arc_maps[i];
   505       }
   504       }
   506 
   505 
   507     }
   506     }
   508 
   507 
   509     /// \brief Copies the node references into the given map.
   508     /// \brief Copy the node references into the given map.
   510     ///
   509     ///
   511     /// Copies the node references into the given map. The parameter
   510     /// This function copies the node references into the given map.
   512     /// should be a map, which key type is the Node type of the source
   511     /// The parameter should be a map, whose key type is the Node type of
   513     /// graph, while the value type is the Node type of the
   512     /// the source digraph, while the value type is the Node type of the
   514     /// destination graph.
   513     /// destination digraph.
   515     template <typename NodeRef>
   514     template <typename NodeRef>
   516     DigraphCopy& nodeRef(NodeRef& map) {
   515     DigraphCopy& nodeRef(NodeRef& map) {
   517       _node_maps.push_back(new _core_bits::RefCopy<From, Node,
   516       _node_maps.push_back(new _core_bits::RefCopy<From, Node,
   518                            NodeRefMap, NodeRef>(map));
   517                            NodeRefMap, NodeRef>(map));
   519       return *this;
   518       return *this;
   520     }
   519     }
   521 
   520 
   522     /// \brief Copies the node cross references into the given map.
   521     /// \brief Copy the node cross references into the given map.
   523     ///
   522     ///
   524     ///  Copies the node cross references (reverse references) into
   523     /// This function copies the node cross references (reverse references)
   525     ///  the given map. The parameter should be a map, which key type
   524     /// into the given map. The parameter should be a map, whose key type
   526     ///  is the Node type of the destination graph, while the value type is
   525     /// is the Node type of the destination digraph, while the value type is
   527     ///  the Node type of the source graph.
   526     /// the Node type of the source digraph.
   528     template <typename NodeCrossRef>
   527     template <typename NodeCrossRef>
   529     DigraphCopy& nodeCrossRef(NodeCrossRef& map) {
   528     DigraphCopy& nodeCrossRef(NodeCrossRef& map) {
   530       _node_maps.push_back(new _core_bits::CrossRefCopy<From, Node,
   529       _node_maps.push_back(new _core_bits::CrossRefCopy<From, Node,
   531                            NodeRefMap, NodeCrossRef>(map));
   530                            NodeRefMap, NodeCrossRef>(map));
   532       return *this;
   531       return *this;
   533     }
   532     }
   534 
   533 
   535     /// \brief Make copy of the given map.
   534     /// \brief Make a copy of the given node map.
   536     ///
   535     ///
   537     /// Makes copy of the given map for the newly created digraph.
   536     /// This function makes a copy of the given node map for the newly
   538     /// The new map's key type is the destination graph's node type,
   537     /// created digraph.
   539     /// and the copied map's key type is the source graph's node type.
   538     /// The key type of the new map \c tmap should be the Node type of the
   540     template <typename ToMap, typename FromMap>
   539     /// destination digraph, and the key type of the original map \c map
   541     DigraphCopy& nodeMap(ToMap& tmap, const FromMap& map) {
   540     /// should be the Node type of the source digraph.
       
   541     template <typename FromMap, typename ToMap>
       
   542     DigraphCopy& nodeMap(const FromMap& map, ToMap& tmap) {
   542       _node_maps.push_back(new _core_bits::MapCopy<From, Node,
   543       _node_maps.push_back(new _core_bits::MapCopy<From, Node,
   543                            NodeRefMap, ToMap, FromMap>(tmap, map));
   544                            NodeRefMap, FromMap, ToMap>(map, tmap));
   544       return *this;
   545       return *this;
   545     }
   546     }
   546 
   547 
   547     /// \brief Make a copy of the given node.
   548     /// \brief Make a copy of the given node.
   548     ///
   549     ///
   549     /// Make a copy of the given node.
   550     /// This function makes a copy of the given node.
   550     DigraphCopy& node(TNode& tnode, const Node& snode) {
   551     DigraphCopy& node(const Node& node, TNode& tnode) {
   551       _node_maps.push_back(new _core_bits::ItemCopy<From, Node,
   552       _node_maps.push_back(new _core_bits::ItemCopy<From, Node,
   552                            NodeRefMap, TNode>(tnode, snode));
   553                            NodeRefMap, TNode>(node, tnode));
   553       return *this;
   554       return *this;
   554     }
   555     }
   555 
   556 
   556     /// \brief Copies the arc references into the given map.
   557     /// \brief Copy the arc references into the given map.
   557     ///
   558     ///
   558     /// Copies the arc references into the given map.
   559     /// This function copies the arc references into the given map.
       
   560     /// The parameter should be a map, whose key type is the Arc type of
       
   561     /// the source digraph, while the value type is the Arc type of the
       
   562     /// destination digraph.
   559     template <typename ArcRef>
   563     template <typename ArcRef>
   560     DigraphCopy& arcRef(ArcRef& map) {
   564     DigraphCopy& arcRef(ArcRef& map) {
   561       _arc_maps.push_back(new _core_bits::RefCopy<From, Arc,
   565       _arc_maps.push_back(new _core_bits::RefCopy<From, Arc,
   562                           ArcRefMap, ArcRef>(map));
   566                           ArcRefMap, ArcRef>(map));
   563       return *this;
   567       return *this;
   564     }
   568     }
   565 
   569 
   566     /// \brief Copies the arc cross references into the given map.
   570     /// \brief Copy the arc cross references into the given map.
   567     ///
   571     ///
   568     ///  Copies the arc cross references (reverse references) into
   572     /// This function copies the arc cross references (reverse references)
   569     ///  the given map.
   573     /// into the given map. The parameter should be a map, whose key type
       
   574     /// is the Arc type of the destination digraph, while the value type is
       
   575     /// the Arc type of the source digraph.
   570     template <typename ArcCrossRef>
   576     template <typename ArcCrossRef>
   571     DigraphCopy& arcCrossRef(ArcCrossRef& map) {
   577     DigraphCopy& arcCrossRef(ArcCrossRef& map) {
   572       _arc_maps.push_back(new _core_bits::CrossRefCopy<From, Arc,
   578       _arc_maps.push_back(new _core_bits::CrossRefCopy<From, Arc,
   573                           ArcRefMap, ArcCrossRef>(map));
   579                           ArcRefMap, ArcCrossRef>(map));
   574       return *this;
   580       return *this;
   575     }
   581     }
   576 
   582 
   577     /// \brief Make copy of the given map.
   583     /// \brief Make a copy of the given arc map.
   578     ///
   584     ///
   579     /// Makes copy of the given map for the newly created digraph.
   585     /// This function makes a copy of the given arc map for the newly
   580     /// The new map's key type is the to digraph's arc type,
   586     /// created digraph.
   581     /// and the copied map's key type is the from digraph's arc
   587     /// The key type of the new map \c tmap should be the Arc type of the
   582     /// type.
   588     /// destination digraph, and the key type of the original map \c map
   583     template <typename ToMap, typename FromMap>
   589     /// should be the Arc type of the source digraph.
   584     DigraphCopy& arcMap(ToMap& tmap, const FromMap& map) {
   590     template <typename FromMap, typename ToMap>
       
   591     DigraphCopy& arcMap(const FromMap& map, ToMap& tmap) {
   585       _arc_maps.push_back(new _core_bits::MapCopy<From, Arc,
   592       _arc_maps.push_back(new _core_bits::MapCopy<From, Arc,
   586                           ArcRefMap, ToMap, FromMap>(tmap, map));
   593                           ArcRefMap, FromMap, ToMap>(map, tmap));
   587       return *this;
   594       return *this;
   588     }
   595     }
   589 
   596 
   590     /// \brief Make a copy of the given arc.
   597     /// \brief Make a copy of the given arc.
   591     ///
   598     ///
   592     /// Make a copy of the given arc.
   599     /// This function makes a copy of the given arc.
   593     DigraphCopy& arc(TArc& tarc, const Arc& sarc) {
   600     DigraphCopy& arc(const Arc& arc, TArc& tarc) {
   594       _arc_maps.push_back(new _core_bits::ItemCopy<From, Arc,
   601       _arc_maps.push_back(new _core_bits::ItemCopy<From, Arc,
   595                           ArcRefMap, TArc>(tarc, sarc));
   602                           ArcRefMap, TArc>(arc, tarc));
   596       return *this;
   603       return *this;
   597     }
   604     }
   598 
   605 
   599     /// \brief Executes the copies.
   606     /// \brief Execute copying.
   600     ///
   607     ///
   601     /// Executes the copies.
   608     /// This function executes the copying of the digraph along with the
       
   609     /// copying of the assigned data.
   602     void run() {
   610     void run() {
   603       NodeRefMap nodeRefMap(_from);
   611       NodeRefMap nodeRefMap(_from);
   604       ArcRefMap arcRefMap(_from);
   612       ArcRefMap arcRefMap(_from);
   605       _core_bits::DigraphCopySelector<To>::
   613       _core_bits::DigraphCopySelector<To>::
   606         copy(_to, _from, nodeRefMap, arcRefMap);
   614         copy(_from, _to, nodeRefMap, arcRefMap);
   607       for (int i = 0; i < int(_node_maps.size()); ++i) {
   615       for (int i = 0; i < int(_node_maps.size()); ++i) {
   608         _node_maps[i]->copy(_from, nodeRefMap);
   616         _node_maps[i]->copy(_from, nodeRefMap);
   609       }
   617       }
   610       for (int i = 0; i < int(_arc_maps.size()); ++i) {
   618       for (int i = 0; i < int(_arc_maps.size()); ++i) {
   611         _arc_maps[i]->copy(_from, arcRefMap);
   619         _arc_maps[i]->copy(_from, arcRefMap);
   612       }
   620       }
   613     }
   621     }
   614 
   622 
   615   protected:
   623   protected:
   616 
   624 
   617 
       
   618     const From& _from;
   625     const From& _from;
   619     To& _to;
   626     To& _to;
   620 
   627 
   621     std::vector<_core_bits::MapCopyBase<From, Node, NodeRefMap>* >
   628     std::vector<_core_bits::MapCopyBase<From, Node, NodeRefMap>* >
   622     _node_maps;
   629       _node_maps;
   623 
   630 
   624     std::vector<_core_bits::MapCopyBase<From, Arc, ArcRefMap>* >
   631     std::vector<_core_bits::MapCopyBase<From, Arc, ArcRefMap>* >
   625     _arc_maps;
   632       _arc_maps;
   626 
   633 
   627   };
   634   };
   628 
   635 
   629   /// \brief Copy a digraph to another digraph.
   636   /// \brief Copy a digraph to another digraph.
   630   ///
   637   ///
   631   /// Copy a digraph to another digraph. The complete usage of the
   638   /// This function copies a digraph to another digraph.
   632   /// function is detailed in the DigraphCopy class, but a short
   639   /// The complete usage of it is detailed in the DigraphCopy class, but
   633   /// example shows a basic work:
   640   /// a short example shows a basic work:
   634   ///\code
   641   ///\code
   635   /// copyDigraph(trg, src).nodeRef(nr).arcCrossRef(ecr).run();
   642   /// digraphCopy(src, trg).nodeRef(nr).arcCrossRef(acr).run();
   636   ///\endcode
   643   ///\endcode
   637   ///
   644   ///
   638   /// After the copy the \c nr map will contain the mapping from the
   645   /// After the copy the \c nr map will contain the mapping from the
   639   /// nodes of the \c from digraph to the nodes of the \c to digraph and
   646   /// nodes of the \c from digraph to the nodes of the \c to digraph and
   640   /// \c ecr will contain the mapping from the arcs of the \c to digraph
   647   /// \c acr will contain the mapping from the arcs of the \c to digraph
   641   /// to the arcs of the \c from digraph.
   648   /// to the arcs of the \c from digraph.
   642   ///
   649   ///
   643   /// \see DigraphCopy
   650   /// \see DigraphCopy
   644   template <typename To, typename From>
   651   template <typename From, typename To>
   645   DigraphCopy<To, From> copyDigraph(To& to, const From& from) {
   652   DigraphCopy<From, To> digraphCopy(const From& from, To& to) {
   646     return DigraphCopy<To, From>(to, from);
   653     return DigraphCopy<From, To>(from, to);
   647   }
   654   }
   648 
   655 
   649   /// \brief Class to copy a graph.
   656   /// \brief Class to copy a graph.
   650   ///
   657   ///
   651   /// Class to copy a graph to another graph (duplicate a graph). The
   658   /// Class to copy a graph to another graph (duplicate a graph). The
   652   /// simplest way of using it is through the \c copyGraph() function.
   659   /// simplest way of using it is through the \c graphCopy() function.
   653   ///
   660   ///
   654   /// This class not just make a copy of a graph, but it can create
   661   /// This class not only make a copy of a graph, but it can create
   655   /// references and cross references between the nodes, edges and arcs of
   662   /// references and cross references between the nodes, edges and arcs of
   656   /// the two graphs, it can copy maps for use with the newly created
   663   /// the two graphs, and it can copy maps for using with the newly created
   657   /// graph and copy nodes, edges and arcs.
   664   /// graph.
   658   ///
   665   ///
   659   /// To make a copy from a graph, first an instance of GraphCopy
   666   /// To make a copy from a graph, first an instance of GraphCopy
   660   /// should be created, then the data belongs to the graph should
   667   /// should be created, then the data belongs to the graph should
   661   /// assigned to copy. In the end, the \c run() member should be
   668   /// assigned to copy. In the end, the \c run() member should be
   662   /// called.
   669   /// called.
   663   ///
   670   ///
   664   /// The next code copies a graph with several data:
   671   /// The next code copies a graph with several data:
   665   ///\code
   672   ///\code
   666   ///  GraphCopy<NewGraph, OrigGraph> dc(new_graph, orig_graph);
   673   ///  GraphCopy<OrigGraph, NewGraph> cg(orig_graph, new_graph);
   667   ///  // create a reference for the nodes
   674   ///  // Create references for the nodes
   668   ///  OrigGraph::NodeMap<NewGraph::Node> nr(orig_graph);
   675   ///  OrigGraph::NodeMap<NewGraph::Node> nr(orig_graph);
   669   ///  dc.nodeRef(nr);
   676   ///  cg.nodeRef(nr);
   670   ///  // create a cross reference (inverse) for the edges
   677   ///  // Create cross references (inverse) for the edges
   671   ///  NewGraph::EdgeMap<OrigGraph::Arc> ecr(new_graph);
   678   ///  NewGraph::EdgeMap<OrigGraph::Edge> ecr(new_graph);
   672   ///  dc.edgeCrossRef(ecr);
   679   ///  cg.edgeCrossRef(ecr);
   673   ///  // copy an arc map
   680   ///  // Copy an edge map
   674   ///  OrigGraph::ArcMap<double> oamap(orig_graph);
   681   ///  OrigGraph::EdgeMap<double> oemap(orig_graph);
   675   ///  NewGraph::ArcMap<double> namap(new_graph);
   682   ///  NewGraph::EdgeMap<double> nemap(new_graph);
   676   ///  dc.arcMap(namap, oamap);
   683   ///  cg.edgeMap(oemap, nemap);
   677   ///  // copy a node
   684   ///  // Copy a node
   678   ///  OrigGraph::Node on;
   685   ///  OrigGraph::Node on;
   679   ///  NewGraph::Node nn;
   686   ///  NewGraph::Node nn;
   680   ///  dc.node(nn, on);
   687   ///  cg.node(on, nn);
   681   ///  // Executions of copy
   688   ///  // Execute copying
   682   ///  dc.run();
   689   ///  cg.run();
   683   ///\endcode
   690   ///\endcode
   684   template <typename To, typename From>
   691   template <typename From, typename To>
   685   class GraphCopy {
   692   class GraphCopy {
   686   private:
   693   private:
   687 
   694 
   688     typedef typename From::Node Node;
   695     typedef typename From::Node Node;
   689     typedef typename From::NodeIt NodeIt;
   696     typedef typename From::NodeIt NodeIt;
   698 
   705 
   699     typedef typename From::template NodeMap<TNode> NodeRefMap;
   706     typedef typename From::template NodeMap<TNode> NodeRefMap;
   700     typedef typename From::template EdgeMap<TEdge> EdgeRefMap;
   707     typedef typename From::template EdgeMap<TEdge> EdgeRefMap;
   701 
   708 
   702     struct ArcRefMap {
   709     struct ArcRefMap {
   703       ArcRefMap(const To& to, const From& from,
   710       ArcRefMap(const From& from, const To& to,
   704                 const EdgeRefMap& edge_ref, const NodeRefMap& node_ref)
   711                 const EdgeRefMap& edge_ref, const NodeRefMap& node_ref)
   705         : _to(to), _from(from),
   712         : _from(from), _to(to),
   706           _edge_ref(edge_ref), _node_ref(node_ref) {}
   713           _edge_ref(edge_ref), _node_ref(node_ref) {}
   707 
   714 
   708       typedef typename From::Arc Key;
   715       typedef typename From::Arc Key;
   709       typedef typename To::Arc Value;
   716       typedef typename To::Arc Value;
   710 
   717 
   714           _to.source(_to.direct(_edge_ref[key], true)) :
   721           _to.source(_to.direct(_edge_ref[key], true)) :
   715           _from.direction(key);
   722           _from.direction(key);
   716         return _to.direct(_edge_ref[key], forward);
   723         return _to.direct(_edge_ref[key], forward);
   717       }
   724       }
   718 
   725 
       
   726       const From& _from;
   719       const To& _to;
   727       const To& _to;
   720       const From& _from;
       
   721       const EdgeRefMap& _edge_ref;
   728       const EdgeRefMap& _edge_ref;
   722       const NodeRefMap& _node_ref;
   729       const NodeRefMap& _node_ref;
   723     };
   730     };
   724 
   731 
   725 
       
   726   public:
   732   public:
   727 
   733 
   728 
   734     /// \brief Constructor of GraphCopy.
   729     /// \brief Constructor for the GraphCopy.
   735     ///
   730     ///
   736     /// Constructor of GraphCopy for copying the content of the
   731     /// It copies the content of the \c _from graph into the
   737     /// \c from graph into the \c to graph.
   732     /// \c _to graph.
   738     GraphCopy(const From& from, To& to)
   733     GraphCopy(To& to, const From& from)
       
   734       : _from(from), _to(to) {}
   739       : _from(from), _to(to) {}
   735 
   740 
   736     /// \brief Destructor of the GraphCopy
   741     /// \brief Destructor of GraphCopy
   737     ///
   742     ///
   738     /// Destructor of the GraphCopy
   743     /// Destructor of GraphCopy.
   739     ~GraphCopy() {
   744     ~GraphCopy() {
   740       for (int i = 0; i < int(_node_maps.size()); ++i) {
   745       for (int i = 0; i < int(_node_maps.size()); ++i) {
   741         delete _node_maps[i];
   746         delete _node_maps[i];
   742       }
   747       }
   743       for (int i = 0; i < int(_arc_maps.size()); ++i) {
   748       for (int i = 0; i < int(_arc_maps.size()); ++i) {
   744         delete _arc_maps[i];
   749         delete _arc_maps[i];
   745       }
   750       }
   746       for (int i = 0; i < int(_edge_maps.size()); ++i) {
   751       for (int i = 0; i < int(_edge_maps.size()); ++i) {
   747         delete _edge_maps[i];
   752         delete _edge_maps[i];
   748       }
   753       }
   749 
   754     }
   750     }
   755 
   751 
   756     /// \brief Copy the node references into the given map.
   752     /// \brief Copies the node references into the given map.
   757     ///
   753     ///
   758     /// This function copies the node references into the given map.
   754     /// Copies the node references into the given map.
   759     /// The parameter should be a map, whose key type is the Node type of
       
   760     /// the source graph, while the value type is the Node type of the
       
   761     /// destination graph.
   755     template <typename NodeRef>
   762     template <typename NodeRef>
   756     GraphCopy& nodeRef(NodeRef& map) {
   763     GraphCopy& nodeRef(NodeRef& map) {
   757       _node_maps.push_back(new _core_bits::RefCopy<From, Node,
   764       _node_maps.push_back(new _core_bits::RefCopy<From, Node,
   758                            NodeRefMap, NodeRef>(map));
   765                            NodeRefMap, NodeRef>(map));
   759       return *this;
   766       return *this;
   760     }
   767     }
   761 
   768 
   762     /// \brief Copies the node cross references into the given map.
   769     /// \brief Copy the node cross references into the given map.
   763     ///
   770     ///
   764     ///  Copies the node cross references (reverse references) into
   771     /// This function copies the node cross references (reverse references)
   765     ///  the given map.
   772     /// into the given map. The parameter should be a map, whose key type
       
   773     /// is the Node type of the destination graph, while the value type is
       
   774     /// the Node type of the source graph.
   766     template <typename NodeCrossRef>
   775     template <typename NodeCrossRef>
   767     GraphCopy& nodeCrossRef(NodeCrossRef& map) {
   776     GraphCopy& nodeCrossRef(NodeCrossRef& map) {
   768       _node_maps.push_back(new _core_bits::CrossRefCopy<From, Node,
   777       _node_maps.push_back(new _core_bits::CrossRefCopy<From, Node,
   769                            NodeRefMap, NodeCrossRef>(map));
   778                            NodeRefMap, NodeCrossRef>(map));
   770       return *this;
   779       return *this;
   771     }
   780     }
   772 
   781 
   773     /// \brief Make copy of the given map.
   782     /// \brief Make a copy of the given node map.
   774     ///
   783     ///
   775     /// Makes copy of the given map for the newly created graph.
   784     /// This function makes a copy of the given node map for the newly
   776     /// The new map's key type is the to graph's node type,
   785     /// created graph.
   777     /// and the copied map's key type is the from graph's node
   786     /// The key type of the new map \c tmap should be the Node type of the
   778     /// type.
   787     /// destination graph, and the key type of the original map \c map
   779     template <typename ToMap, typename FromMap>
   788     /// should be the Node type of the source graph.
   780     GraphCopy& nodeMap(ToMap& tmap, const FromMap& map) {
   789     template <typename FromMap, typename ToMap>
       
   790     GraphCopy& nodeMap(const FromMap& map, ToMap& tmap) {
   781       _node_maps.push_back(new _core_bits::MapCopy<From, Node,
   791       _node_maps.push_back(new _core_bits::MapCopy<From, Node,
   782                            NodeRefMap, ToMap, FromMap>(tmap, map));
   792                            NodeRefMap, FromMap, ToMap>(map, tmap));
   783       return *this;
   793       return *this;
   784     }
   794     }
   785 
   795 
   786     /// \brief Make a copy of the given node.
   796     /// \brief Make a copy of the given node.
   787     ///
   797     ///
   788     /// Make a copy of the given node.
   798     /// This function makes a copy of the given node.
   789     GraphCopy& node(TNode& tnode, const Node& snode) {
   799     GraphCopy& node(const Node& node, TNode& tnode) {
   790       _node_maps.push_back(new _core_bits::ItemCopy<From, Node,
   800       _node_maps.push_back(new _core_bits::ItemCopy<From, Node,
   791                            NodeRefMap, TNode>(tnode, snode));
   801                            NodeRefMap, TNode>(node, tnode));
   792       return *this;
   802       return *this;
   793     }
   803     }
   794 
   804 
   795     /// \brief Copies the arc references into the given map.
   805     /// \brief Copy the arc references into the given map.
   796     ///
   806     ///
   797     /// Copies the arc references into the given map.
   807     /// This function copies the arc references into the given map.
       
   808     /// The parameter should be a map, whose key type is the Arc type of
       
   809     /// the source graph, while the value type is the Arc type of the
       
   810     /// destination graph.
   798     template <typename ArcRef>
   811     template <typename ArcRef>
   799     GraphCopy& arcRef(ArcRef& map) {
   812     GraphCopy& arcRef(ArcRef& map) {
   800       _arc_maps.push_back(new _core_bits::RefCopy<From, Arc,
   813       _arc_maps.push_back(new _core_bits::RefCopy<From, Arc,
   801                           ArcRefMap, ArcRef>(map));
   814                           ArcRefMap, ArcRef>(map));
   802       return *this;
   815       return *this;
   803     }
   816     }
   804 
   817 
   805     /// \brief Copies the arc cross references into the given map.
   818     /// \brief Copy the arc cross references into the given map.
   806     ///
   819     ///
   807     ///  Copies the arc cross references (reverse references) into
   820     /// This function copies the arc cross references (reverse references)
   808     ///  the given map.
   821     /// into the given map. The parameter should be a map, whose key type
       
   822     /// is the Arc type of the destination graph, while the value type is
       
   823     /// the Arc type of the source graph.
   809     template <typename ArcCrossRef>
   824     template <typename ArcCrossRef>
   810     GraphCopy& arcCrossRef(ArcCrossRef& map) {
   825     GraphCopy& arcCrossRef(ArcCrossRef& map) {
   811       _arc_maps.push_back(new _core_bits::CrossRefCopy<From, Arc,
   826       _arc_maps.push_back(new _core_bits::CrossRefCopy<From, Arc,
   812                           ArcRefMap, ArcCrossRef>(map));
   827                           ArcRefMap, ArcCrossRef>(map));
   813       return *this;
   828       return *this;
   814     }
   829     }
   815 
   830 
   816     /// \brief Make copy of the given map.
   831     /// \brief Make a copy of the given arc map.
   817     ///
   832     ///
   818     /// Makes copy of the given map for the newly created graph.
   833     /// This function makes a copy of the given arc map for the newly
   819     /// The new map's key type is the to graph's arc type,
   834     /// created graph.
   820     /// and the copied map's key type is the from graph's arc
   835     /// The key type of the new map \c tmap should be the Arc type of the
   821     /// type.
   836     /// destination graph, and the key type of the original map \c map
   822     template <typename ToMap, typename FromMap>
   837     /// should be the Arc type of the source graph.
   823     GraphCopy& arcMap(ToMap& tmap, const FromMap& map) {
   838     template <typename FromMap, typename ToMap>
       
   839     GraphCopy& arcMap(const FromMap& map, ToMap& tmap) {
   824       _arc_maps.push_back(new _core_bits::MapCopy<From, Arc,
   840       _arc_maps.push_back(new _core_bits::MapCopy<From, Arc,
   825                           ArcRefMap, ToMap, FromMap>(tmap, map));
   841                           ArcRefMap, FromMap, ToMap>(map, tmap));
   826       return *this;
   842       return *this;
   827     }
   843     }
   828 
   844 
   829     /// \brief Make a copy of the given arc.
   845     /// \brief Make a copy of the given arc.
   830     ///
   846     ///
   831     /// Make a copy of the given arc.
   847     /// This function makes a copy of the given arc.
   832     GraphCopy& arc(TArc& tarc, const Arc& sarc) {
   848     GraphCopy& arc(const Arc& arc, TArc& tarc) {
   833       _arc_maps.push_back(new _core_bits::ItemCopy<From, Arc,
   849       _arc_maps.push_back(new _core_bits::ItemCopy<From, Arc,
   834                           ArcRefMap, TArc>(tarc, sarc));
   850                           ArcRefMap, TArc>(arc, tarc));
   835       return *this;
   851       return *this;
   836     }
   852     }
   837 
   853 
   838     /// \brief Copies the edge references into the given map.
   854     /// \brief Copy the edge references into the given map.
   839     ///
   855     ///
   840     /// Copies the edge references into the given map.
   856     /// This function copies the edge references into the given map.
       
   857     /// The parameter should be a map, whose key type is the Edge type of
       
   858     /// the source graph, while the value type is the Edge type of the
       
   859     /// destination graph.
   841     template <typename EdgeRef>
   860     template <typename EdgeRef>
   842     GraphCopy& edgeRef(EdgeRef& map) {
   861     GraphCopy& edgeRef(EdgeRef& map) {
   843       _edge_maps.push_back(new _core_bits::RefCopy<From, Edge,
   862       _edge_maps.push_back(new _core_bits::RefCopy<From, Edge,
   844                            EdgeRefMap, EdgeRef>(map));
   863                            EdgeRefMap, EdgeRef>(map));
   845       return *this;
   864       return *this;
   846     }
   865     }
   847 
   866 
   848     /// \brief Copies the edge cross references into the given map.
   867     /// \brief Copy the edge cross references into the given map.
   849     ///
   868     ///
   850     /// Copies the edge cross references (reverse
   869     /// This function copies the edge cross references (reverse references)
   851     /// references) into the given map.
   870     /// into the given map. The parameter should be a map, whose key type
       
   871     /// is the Edge type of the destination graph, while the value type is
       
   872     /// the Edge type of the source graph.
   852     template <typename EdgeCrossRef>
   873     template <typename EdgeCrossRef>
   853     GraphCopy& edgeCrossRef(EdgeCrossRef& map) {
   874     GraphCopy& edgeCrossRef(EdgeCrossRef& map) {
   854       _edge_maps.push_back(new _core_bits::CrossRefCopy<From,
   875       _edge_maps.push_back(new _core_bits::CrossRefCopy<From,
   855                            Edge, EdgeRefMap, EdgeCrossRef>(map));
   876                            Edge, EdgeRefMap, EdgeCrossRef>(map));
   856       return *this;
   877       return *this;
   857     }
   878     }
   858 
   879 
   859     /// \brief Make copy of the given map.
   880     /// \brief Make a copy of the given edge map.
   860     ///
   881     ///
   861     /// Makes copy of the given map for the newly created graph.
   882     /// This function makes a copy of the given edge map for the newly
   862     /// The new map's key type is the to graph's edge type,
   883     /// created graph.
   863     /// and the copied map's key type is the from graph's edge
   884     /// The key type of the new map \c tmap should be the Edge type of the
   864     /// type.
   885     /// destination graph, and the key type of the original map \c map
   865     template <typename ToMap, typename FromMap>
   886     /// should be the Edge type of the source graph.
   866     GraphCopy& edgeMap(ToMap& tmap, const FromMap& map) {
   887     template <typename FromMap, typename ToMap>
       
   888     GraphCopy& edgeMap(const FromMap& map, ToMap& tmap) {
   867       _edge_maps.push_back(new _core_bits::MapCopy<From, Edge,
   889       _edge_maps.push_back(new _core_bits::MapCopy<From, Edge,
   868                            EdgeRefMap, ToMap, FromMap>(tmap, map));
   890                            EdgeRefMap, FromMap, ToMap>(map, tmap));
   869       return *this;
   891       return *this;
   870     }
   892     }
   871 
   893 
   872     /// \brief Make a copy of the given edge.
   894     /// \brief Make a copy of the given edge.
   873     ///
   895     ///
   874     /// Make a copy of the given edge.
   896     /// This function makes a copy of the given edge.
   875     GraphCopy& edge(TEdge& tedge, const Edge& sedge) {
   897     GraphCopy& edge(const Edge& edge, TEdge& tedge) {
   876       _edge_maps.push_back(new _core_bits::ItemCopy<From, Edge,
   898       _edge_maps.push_back(new _core_bits::ItemCopy<From, Edge,
   877                            EdgeRefMap, TEdge>(tedge, sedge));
   899                            EdgeRefMap, TEdge>(edge, tedge));
   878       return *this;
   900       return *this;
   879     }
   901     }
   880 
   902 
   881     /// \brief Executes the copies.
   903     /// \brief Execute copying.
   882     ///
   904     ///
   883     /// Executes the copies.
   905     /// This function executes the copying of the graph along with the
       
   906     /// copying of the assigned data.
   884     void run() {
   907     void run() {
   885       NodeRefMap nodeRefMap(_from);
   908       NodeRefMap nodeRefMap(_from);
   886       EdgeRefMap edgeRefMap(_from);
   909       EdgeRefMap edgeRefMap(_from);
   887       ArcRefMap arcRefMap(_to, _from, edgeRefMap, nodeRefMap);
   910       ArcRefMap arcRefMap(_from, _to, edgeRefMap, nodeRefMap);
   888       _core_bits::GraphCopySelector<To>::
   911       _core_bits::GraphCopySelector<To>::
   889         copy(_to, _from, nodeRefMap, edgeRefMap);
   912         copy(_from, _to, nodeRefMap, edgeRefMap);
   890       for (int i = 0; i < int(_node_maps.size()); ++i) {
   913       for (int i = 0; i < int(_node_maps.size()); ++i) {
   891         _node_maps[i]->copy(_from, nodeRefMap);
   914         _node_maps[i]->copy(_from, nodeRefMap);
   892       }
   915       }
   893       for (int i = 0; i < int(_edge_maps.size()); ++i) {
   916       for (int i = 0; i < int(_edge_maps.size()); ++i) {
   894         _edge_maps[i]->copy(_from, edgeRefMap);
   917         _edge_maps[i]->copy(_from, edgeRefMap);
   902 
   925 
   903     const From& _from;
   926     const From& _from;
   904     To& _to;
   927     To& _to;
   905 
   928 
   906     std::vector<_core_bits::MapCopyBase<From, Node, NodeRefMap>* >
   929     std::vector<_core_bits::MapCopyBase<From, Node, NodeRefMap>* >
   907     _node_maps;
   930       _node_maps;
   908 
   931 
   909     std::vector<_core_bits::MapCopyBase<From, Arc, ArcRefMap>* >
   932     std::vector<_core_bits::MapCopyBase<From, Arc, ArcRefMap>* >
   910     _arc_maps;
   933       _arc_maps;
   911 
   934 
   912     std::vector<_core_bits::MapCopyBase<From, Edge, EdgeRefMap>* >
   935     std::vector<_core_bits::MapCopyBase<From, Edge, EdgeRefMap>* >
   913     _edge_maps;
   936       _edge_maps;
   914 
   937 
   915   };
   938   };
   916 
   939 
   917   /// \brief Copy a graph to another graph.
   940   /// \brief Copy a graph to another graph.
   918   ///
   941   ///
   919   /// Copy a graph to another graph. The complete usage of the
   942   /// This function copies a graph to another graph.
   920   /// function is detailed in the GraphCopy class, but a short
   943   /// The complete usage of it is detailed in the GraphCopy class,
   921   /// example shows a basic work:
   944   /// but a short example shows a basic work:
   922   ///\code
   945   ///\code
   923   /// copyGraph(trg, src).nodeRef(nr).arcCrossRef(ecr).run();
   946   /// graphCopy(src, trg).nodeRef(nr).edgeCrossRef(ecr).run();
   924   ///\endcode
   947   ///\endcode
   925   ///
   948   ///
   926   /// After the copy the \c nr map will contain the mapping from the
   949   /// After the copy the \c nr map will contain the mapping from the
   927   /// nodes of the \c from graph to the nodes of the \c to graph and
   950   /// nodes of the \c from graph to the nodes of the \c to graph and
   928   /// \c ecr will contain the mapping from the arcs of the \c to graph
   951   /// \c ecr will contain the mapping from the edges of the \c to graph
   929   /// to the arcs of the \c from graph.
   952   /// to the edges of the \c from graph.
   930   ///
   953   ///
   931   /// \see GraphCopy
   954   /// \see GraphCopy
   932   template <typename To, typename From>
   955   template <typename From, typename To>
   933   GraphCopy<To, From>
   956   GraphCopy<From, To>
   934   copyGraph(To& to, const From& from) {
   957   graphCopy(const From& from, To& to) {
   935     return GraphCopy<To, From>(to, from);
   958     return GraphCopy<From, To>(from, to);
   936   }
   959   }
   937 
   960 
   938   namespace _core_bits {
   961   namespace _core_bits {
   939 
   962 
   940     template <typename Graph, typename Enable = void>
   963     template <typename Graph, typename Enable = void>
   955     };
   978     };
   956 
   979 
   957     template <typename Graph>
   980     template <typename Graph>
   958     struct FindArcSelector<
   981     struct FindArcSelector<
   959       Graph,
   982       Graph,
   960       typename enable_if<typename Graph::FindEdgeTag, void>::type>
   983       typename enable_if<typename Graph::FindArcTag, void>::type>
   961     {
   984     {
   962       typedef typename Graph::Node Node;
   985       typedef typename Graph::Node Node;
   963       typedef typename Graph::Arc Arc;
   986       typedef typename Graph::Arc Arc;
   964       static Arc find(const Graph &g, Node u, Node v, Arc prev) {
   987       static Arc find(const Graph &g, Node u, Node v, Arc prev) {
   965         return g.findArc(u, v, prev);
   988         return g.findArc(u, v, prev);
   966       }
   989       }
   967     };
   990     };
   968   }
   991   }
   969 
   992 
   970   /// \brief Finds an arc between two nodes of a graph.
   993   /// \brief Find an arc between two nodes of a digraph.
   971   ///
   994   ///
   972   /// Finds an arc from node \c u to node \c v in graph \c g.
   995   /// This function finds an arc from node \c u to node \c v in the
       
   996   /// digraph \c g.
   973   ///
   997   ///
   974   /// If \c prev is \ref INVALID (this is the default value), then
   998   /// If \c prev is \ref INVALID (this is the default value), then
   975   /// it finds the first arc from \c u to \c v. Otherwise it looks for
   999   /// it finds the first arc from \c u to \c v. Otherwise it looks for
   976   /// the next arc from \c u to \c v after \c prev.
  1000   /// the next arc from \c u to \c v after \c prev.
   977   /// \return The found arc or \ref INVALID if there is no such an arc.
  1001   /// \return The found arc or \ref INVALID if there is no such an arc.
   978   ///
  1002   ///
   979   /// Thus you can iterate through each arc from \c u to \c v as it follows.
  1003   /// Thus you can iterate through each arc from \c u to \c v as it follows.
   980   ///\code
  1004   ///\code
   981   /// for(Arc e=findArc(g,u,v);e!=INVALID;e=findArc(g,u,v,e)) {
  1005   /// for(Arc e = findArc(g,u,v); e != INVALID; e = findArc(g,u,v,e)) {
   982   ///   ...
  1006   ///   ...
   983   /// }
  1007   /// }
   984   ///\endcode
  1008   ///\endcode
   985   ///
  1009   ///
   986   ///\sa ArcLookUp
  1010   /// \note \ref ConArcIt provides iterator interface for the same
   987   ///\sa AllArcLookUp
  1011   /// functionality.
   988   ///\sa DynArcLookUp
  1012   ///
   989   ///\sa ConArcIt
  1013   ///\sa ConArcIt
       
  1014   ///\sa ArcLookUp, AllArcLookUp, DynArcLookUp
   990   template <typename Graph>
  1015   template <typename Graph>
   991   inline typename Graph::Arc
  1016   inline typename Graph::Arc
   992   findArc(const Graph &g, typename Graph::Node u, typename Graph::Node v,
  1017   findArc(const Graph &g, typename Graph::Node u, typename Graph::Node v,
   993           typename Graph::Arc prev = INVALID) {
  1018           typename Graph::Arc prev = INVALID) {
   994     return _core_bits::FindArcSelector<Graph>::find(g, u, v, prev);
  1019     return _core_bits::FindArcSelector<Graph>::find(g, u, v, prev);
   995   }
  1020   }
   996 
  1021 
   997   /// \brief Iterator for iterating on arcs connected the same nodes.
  1022   /// \brief Iterator for iterating on parallel arcs connecting the same nodes.
   998   ///
  1023   ///
   999   /// Iterator for iterating on arcs connected the same nodes. It is
  1024   /// Iterator for iterating on parallel arcs connecting the same nodes. It is
  1000   /// higher level interface for the findArc() function. You can
  1025   /// a higher level interface for the \ref findArc() function. You can
  1001   /// use it the following way:
  1026   /// use it the following way:
  1002   ///\code
  1027   ///\code
  1003   /// for (ConArcIt<Graph> it(g, src, trg); it != INVALID; ++it) {
  1028   /// for (ConArcIt<Graph> it(g, src, trg); it != INVALID; ++it) {
  1004   ///   ...
  1029   ///   ...
  1005   /// }
  1030   /// }
  1006   ///\endcode
  1031   ///\endcode
  1007   ///
  1032   ///
  1008   ///\sa findArc()
  1033   ///\sa findArc()
  1009   ///\sa ArcLookUp
  1034   ///\sa ArcLookUp, AllArcLookUp, DynArcLookUp
  1010   ///\sa AllArcLookUp
       
  1011   ///\sa DynArcLookUp
       
  1012   template <typename _Graph>
  1035   template <typename _Graph>
  1013   class ConArcIt : public _Graph::Arc {
  1036   class ConArcIt : public _Graph::Arc {
  1014   public:
  1037   public:
  1015 
  1038 
  1016     typedef _Graph Graph;
  1039     typedef _Graph Graph;
  1019     typedef typename Graph::Arc Arc;
  1042     typedef typename Graph::Arc Arc;
  1020     typedef typename Graph::Node Node;
  1043     typedef typename Graph::Node Node;
  1021 
  1044 
  1022     /// \brief Constructor.
  1045     /// \brief Constructor.
  1023     ///
  1046     ///
  1024     /// Construct a new ConArcIt iterating on the arcs which
  1047     /// Construct a new ConArcIt iterating on the arcs that
  1025     /// connects the \c u and \c v node.
  1048     /// connects nodes \c u and \c v.
  1026     ConArcIt(const Graph& g, Node u, Node v) : _graph(g) {
  1049     ConArcIt(const Graph& g, Node u, Node v) : _graph(g) {
  1027       Parent::operator=(findArc(_graph, u, v));
  1050       Parent::operator=(findArc(_graph, u, v));
  1028     }
  1051     }
  1029 
  1052 
  1030     /// \brief Constructor.
  1053     /// \brief Constructor.
  1031     ///
  1054     ///
  1032     /// Construct a new ConArcIt which continues the iterating from
  1055     /// Construct a new ConArcIt that continues the iterating from arc \c a.
  1033     /// the \c e arc.
       
  1034     ConArcIt(const Graph& g, Arc a) : Parent(a), _graph(g) {}
  1056     ConArcIt(const Graph& g, Arc a) : Parent(a), _graph(g) {}
  1035 
  1057 
  1036     /// \brief Increment operator.
  1058     /// \brief Increment operator.
  1037     ///
  1059     ///
  1038     /// It increments the iterator and gives back the next arc.
  1060     /// It increments the iterator and gives back the next arc.
  1089         return g.findEdge(u, v, prev);
  1111         return g.findEdge(u, v, prev);
  1090       }
  1112       }
  1091     };
  1113     };
  1092   }
  1114   }
  1093 
  1115 
  1094   /// \brief Finds an edge between two nodes of a graph.
  1116   /// \brief Find an edge between two nodes of a graph.
  1095   ///
  1117   ///
  1096   /// Finds an edge from node \c u to node \c v in graph \c g.
  1118   /// This function finds an edge from node \c u to node \c v in graph \c g.
  1097   /// If the node \c u and node \c v is equal then each loop edge
  1119   /// If node \c u and node \c v is equal then each loop edge
  1098   /// will be enumerated once.
  1120   /// will be enumerated once.
  1099   ///
  1121   ///
  1100   /// If \c prev is \ref INVALID (this is the default value), then
  1122   /// If \c prev is \ref INVALID (this is the default value), then
  1101   /// it finds the first arc from \c u to \c v. Otherwise it looks for
  1123   /// it finds the first edge from \c u to \c v. Otherwise it looks for
  1102   /// the next arc from \c u to \c v after \c prev.
  1124   /// the next edge from \c u to \c v after \c prev.
  1103   /// \return The found arc or \ref INVALID if there is no such an arc.
  1125   /// \return The found edge or \ref INVALID if there is no such an edge.
  1104   ///
  1126   ///
  1105   /// Thus you can iterate through each arc from \c u to \c v as it follows.
  1127   /// Thus you can iterate through each edge between \c u and \c v
       
  1128   /// as it follows.
  1106   ///\code
  1129   ///\code
  1107   /// for(Edge e = findEdge(g,u,v); e != INVALID;
  1130   /// for(Edge e = findEdge(g,u,v); e != INVALID; e = findEdge(g,u,v,e)) {
  1108   ///     e = findEdge(g,u,v,e)) {
       
  1109   ///   ...
  1131   ///   ...
  1110   /// }
  1132   /// }
  1111   ///\endcode
  1133   ///\endcode
  1112   ///
  1134   ///
       
  1135   /// \note \ref ConEdgeIt provides iterator interface for the same
       
  1136   /// functionality.
       
  1137   ///
  1113   ///\sa ConEdgeIt
  1138   ///\sa ConEdgeIt
  1114 
       
  1115   template <typename Graph>
  1139   template <typename Graph>
  1116   inline typename Graph::Edge
  1140   inline typename Graph::Edge
  1117   findEdge(const Graph &g, typename Graph::Node u, typename Graph::Node v,
  1141   findEdge(const Graph &g, typename Graph::Node u, typename Graph::Node v,
  1118             typename Graph::Edge p = INVALID) {
  1142             typename Graph::Edge p = INVALID) {
  1119     return _core_bits::FindEdgeSelector<Graph>::find(g, u, v, p);
  1143     return _core_bits::FindEdgeSelector<Graph>::find(g, u, v, p);
  1120   }
  1144   }
  1121 
  1145 
  1122   /// \brief Iterator for iterating on edges connected the same nodes.
  1146   /// \brief Iterator for iterating on parallel edges connecting the same nodes.
  1123   ///
  1147   ///
  1124   /// Iterator for iterating on edges connected the same nodes. It is
  1148   /// Iterator for iterating on parallel edges connecting the same nodes.
  1125   /// higher level interface for the findEdge() function. You can
  1149   /// It is a higher level interface for the findEdge() function. You can
  1126   /// use it the following way:
  1150   /// use it the following way:
  1127   ///\code
  1151   ///\code
  1128   /// for (ConEdgeIt<Graph> it(g, src, trg); it != INVALID; ++it) {
  1152   /// for (ConEdgeIt<Graph> it(g, u, v); it != INVALID; ++it) {
  1129   ///   ...
  1153   ///   ...
  1130   /// }
  1154   /// }
  1131   ///\endcode
  1155   ///\endcode
  1132   ///
  1156   ///
  1133   ///\sa findEdge()
  1157   ///\sa findEdge()
  1141     typedef typename Graph::Edge Edge;
  1165     typedef typename Graph::Edge Edge;
  1142     typedef typename Graph::Node Node;
  1166     typedef typename Graph::Node Node;
  1143 
  1167 
  1144     /// \brief Constructor.
  1168     /// \brief Constructor.
  1145     ///
  1169     ///
  1146     /// Construct a new ConEdgeIt iterating on the edges which
  1170     /// Construct a new ConEdgeIt iterating on the edges that
  1147     /// connects the \c u and \c v node.
  1171     /// connects nodes \c u and \c v.
  1148     ConEdgeIt(const Graph& g, Node u, Node v) : _graph(g) {
  1172     ConEdgeIt(const Graph& g, Node u, Node v) : _graph(g) {
  1149       Parent::operator=(findEdge(_graph, u, v));
  1173       Parent::operator=(findEdge(_graph, u, v));
  1150     }
  1174     }
  1151 
  1175 
  1152     /// \brief Constructor.
  1176     /// \brief Constructor.
  1153     ///
  1177     ///
  1154     /// Construct a new ConEdgeIt which continues the iterating from
  1178     /// Construct a new ConEdgeIt that continues iterating from edge \c e.
  1155     /// the \c e edge.
       
  1156     ConEdgeIt(const Graph& g, Edge e) : Parent(e), _graph(g) {}
  1179     ConEdgeIt(const Graph& g, Edge e) : Parent(e), _graph(g) {}
  1157 
  1180 
  1158     /// \brief Increment operator.
  1181     /// \brief Increment operator.
  1159     ///
  1182     ///
  1160     /// It increments the iterator and gives back the next edge.
  1183     /// It increments the iterator and gives back the next edge.
  1166   private:
  1189   private:
  1167     const Graph& _graph;
  1190     const Graph& _graph;
  1168   };
  1191   };
  1169 
  1192 
  1170 
  1193 
  1171   ///Dynamic arc look up between given endpoints.
  1194   ///Dynamic arc look-up between given endpoints.
  1172 
  1195 
  1173   ///Using this class, you can find an arc in a digraph from a given
  1196   ///Using this class, you can find an arc in a digraph from a given
  1174   ///source to a given target in amortized time <em>O(log</em>d<em>)</em>,
  1197   ///source to a given target in amortized time <em>O</em>(log<em>d</em>),
  1175   ///where <em>d</em> is the out-degree of the source node.
  1198   ///where <em>d</em> is the out-degree of the source node.
  1176   ///
  1199   ///
  1177   ///It is possible to find \e all parallel arcs between two nodes with
  1200   ///It is possible to find \e all parallel arcs between two nodes with
  1178   ///the \c operator() member.
  1201   ///the \c operator() member.
  1179   ///
  1202   ///
  1180   ///See the \ref ArcLookUp and \ref AllArcLookUp classes if your
  1203   ///This is a dynamic data structure. Consider to use \ref ArcLookUp or
  1181   ///digraph is not changed so frequently.
  1204   ///\ref AllArcLookUp if your digraph is not changed so frequently.
  1182   ///
  1205   ///
  1183   ///This class uses a self-adjusting binary search tree, Sleator's
  1206   ///This class uses a self-adjusting binary search tree, the Splay tree
  1184   ///and Tarjan's Splay tree for guarantee the logarithmic amortized
  1207   ///of Sleator and Tarjan to guarantee the logarithmic amortized
  1185   ///time bound for arc lookups. This class also guarantees the
  1208   ///time bound for arc look-ups. This class also guarantees the
  1186   ///optimal time bound in a constant factor for any distribution of
  1209   ///optimal time bound in a constant factor for any distribution of
  1187   ///queries.
  1210   ///queries.
  1188   ///
  1211   ///
  1189   ///\tparam G The type of the underlying digraph.
  1212   ///\tparam G The type of the underlying digraph.
  1190   ///
  1213   ///
  1505   public:
  1528   public:
  1506 
  1529 
  1507     ///Find an arc between two nodes.
  1530     ///Find an arc between two nodes.
  1508 
  1531 
  1509     ///Find an arc between two nodes.
  1532     ///Find an arc between two nodes.
  1510     ///\param s The source node
  1533     ///\param s The source node.
  1511     ///\param t The target node
  1534     ///\param t The target node.
  1512     ///\param p The previous arc between \c s and \c t. It it is INVALID or
  1535     ///\param p The previous arc between \c s and \c t. It it is INVALID or
  1513     ///not given, the operator finds the first appropriate arc.
  1536     ///not given, the operator finds the first appropriate arc.
  1514     ///\return An arc from \c s to \c t after \c p or
  1537     ///\return An arc from \c s to \c t after \c p or
  1515     ///\ref INVALID if there is no more.
  1538     ///\ref INVALID if there is no more.
  1516     ///
  1539     ///
  1517     ///For example, you can count the number of arcs from \c u to \c v in the
  1540     ///For example, you can count the number of arcs from \c u to \c v in the
  1518     ///following way.
  1541     ///following way.
  1519     ///\code
  1542     ///\code
  1520     ///DynArcLookUp<ListDigraph> ae(g);
  1543     ///DynArcLookUp<ListDigraph> ae(g);
  1521     ///...
  1544     ///...
  1522     ///int n=0;
  1545     ///int n = 0;
  1523     ///for(Arc e=ae(u,v);e!=INVALID;e=ae(u,v,e)) n++;
  1546     ///for(Arc a = ae(u,v); a != INVALID; a = ae(u,v,a)) n++;
  1524     ///\endcode
  1547     ///\endcode
  1525     ///
  1548     ///
  1526     ///Finding the arcs take at most <em>O(</em>log<em>d)</em>
  1549     ///Finding the arcs take at most <em>O</em>(log<em>d</em>)
  1527     ///amortized time, specifically, the time complexity of the lookups
  1550     ///amortized time, specifically, the time complexity of the lookups
  1528     ///is equal to the optimal search tree implementation for the
  1551     ///is equal to the optimal search tree implementation for the
  1529     ///current query distribution in a constant factor.
  1552     ///current query distribution in a constant factor.
  1530     ///
  1553     ///
  1531     ///\note This is a dynamic data structure, therefore the data
  1554     ///\note This is a dynamic data structure, therefore the data
  1532     ///structure is updated after each graph alteration. However,
  1555     ///structure is updated after each graph alteration. Thus although
  1533     ///theoretically this data structure is faster than \c ArcLookUp
  1556     ///this data structure is theoretically faster than \ref ArcLookUp
  1534     ///or AllEdgeLookup, but it often provides worse performance than
  1557     ///and \ref AllArcLookup, it often provides worse performance than
  1535     ///them.
  1558     ///them.
  1536     ///
       
  1537     Arc operator()(Node s, Node t, Arc p = INVALID) const  {
  1559     Arc operator()(Node s, Node t, Arc p = INVALID) const  {
  1538       if (p == INVALID) {
  1560       if (p == INVALID) {
  1539         Arc a = _head[s];
  1561         Arc a = _head[s];
  1540         if (a == INVALID) return INVALID;
  1562         if (a == INVALID) return INVALID;
  1541         Arc r = INVALID;
  1563         Arc r = INVALID;
  1583       }
  1605       }
  1584     }
  1606     }
  1585 
  1607 
  1586   };
  1608   };
  1587 
  1609 
  1588   ///Fast arc look up between given endpoints.
  1610   ///Fast arc look-up between given endpoints.
  1589 
  1611 
  1590   ///Using this class, you can find an arc in a digraph from a given
  1612   ///Using this class, you can find an arc in a digraph from a given
  1591   ///source to a given target in time <em>O(log d)</em>,
  1613   ///source to a given target in time <em>O</em>(log<em>d</em>),
  1592   ///where <em>d</em> is the out-degree of the source node.
  1614   ///where <em>d</em> is the out-degree of the source node.
  1593   ///
  1615   ///
  1594   ///It is not possible to find \e all parallel arcs between two nodes.
  1616   ///It is not possible to find \e all parallel arcs between two nodes.
  1595   ///Use \ref AllArcLookUp for this purpose.
  1617   ///Use \ref AllArcLookUp for this purpose.
  1596   ///
  1618   ///
  1597   ///\warning This class is static, so you should refresh() (or at least
  1619   ///\warning This class is static, so you should call refresh() (or at
  1598   ///refresh(Node)) this data structure
  1620   ///least refresh(Node)) to refresh this data structure whenever the
  1599   ///whenever the digraph changes. This is a time consuming (superlinearly
  1621   ///digraph changes. This is a time consuming (superlinearly proportional
  1600   ///proportional (<em>O(m</em>log<em>m)</em>) to the number of arcs).
  1622   ///(<em>O</em>(<em>m</em> log<em>m</em>)) to the number of arcs).
  1601   ///
  1623   ///
  1602   ///\tparam G The type of the underlying digraph.
  1624   ///\tparam G The type of the underlying digraph.
  1603   ///
  1625   ///
  1604   ///\sa DynArcLookUp
  1626   ///\sa DynArcLookUp
  1605   ///\sa AllArcLookUp
  1627   ///\sa AllArcLookUp
  1644       _left[me] = a<m?refreshRec(v,a,m-1):INVALID;
  1666       _left[me] = a<m?refreshRec(v,a,m-1):INVALID;
  1645       _right[me] = m<b?refreshRec(v,m+1,b):INVALID;
  1667       _right[me] = m<b?refreshRec(v,m+1,b):INVALID;
  1646       return me;
  1668       return me;
  1647     }
  1669     }
  1648   public:
  1670   public:
  1649     ///Refresh the data structure at a node.
  1671     ///Refresh the search data structure at a node.
  1650 
  1672 
  1651     ///Build up the search database of node \c n.
  1673     ///Build up the search database of node \c n.
  1652     ///
  1674     ///
  1653     ///It runs in time <em>O(d</em>log<em>d)</em>, where <em>d</em> is
  1675     ///It runs in time <em>O</em>(<em>d</em> log<em>d</em>), where <em>d</em>
  1654     ///the number of the outgoing arcs of \c n.
  1676     ///is the number of the outgoing arcs of \c n.
  1655     void refresh(Node n)
  1677     void refresh(Node n)
  1656     {
  1678     {
  1657       std::vector<Arc> v;
  1679       std::vector<Arc> v;
  1658       for(OutArcIt e(_g,n);e!=INVALID;++e) v.push_back(e);
  1680       for(OutArcIt e(_g,n);e!=INVALID;++e) v.push_back(e);
  1659       if(v.size()) {
  1681       if(v.size()) {
  1665     ///Refresh the full data structure.
  1687     ///Refresh the full data structure.
  1666 
  1688 
  1667     ///Build up the full search database. In fact, it simply calls
  1689     ///Build up the full search database. In fact, it simply calls
  1668     ///\ref refresh(Node) "refresh(n)" for each node \c n.
  1690     ///\ref refresh(Node) "refresh(n)" for each node \c n.
  1669     ///
  1691     ///
  1670     ///It runs in time <em>O(m</em>log<em>D)</em>, where <em>m</em> is
  1692     ///It runs in time <em>O</em>(<em>m</em> log<em>D</em>), where <em>m</em> is
  1671     ///the number of the arcs of \c n and <em>D</em> is the maximum
  1693     ///the number of the arcs in the digraph and <em>D</em> is the maximum
  1672     ///out-degree of the digraph.
  1694     ///out-degree of the digraph.
  1673 
       
  1674     void refresh()
  1695     void refresh()
  1675     {
  1696     {
  1676       for(NodeIt n(_g);n!=INVALID;++n) refresh(n);
  1697       for(NodeIt n(_g);n!=INVALID;++n) refresh(n);
  1677     }
  1698     }
  1678 
  1699 
  1679     ///Find an arc between two nodes.
  1700     ///Find an arc between two nodes.
  1680 
  1701 
  1681     ///Find an arc between two nodes in time <em>O(</em>log<em>d)</em>, where
  1702     ///Find an arc between two nodes in time <em>O</em>(log<em>d</em>), where
  1682     /// <em>d</em> is the number of outgoing arcs of \c s.
  1703     ///<em>d</em> is the number of outgoing arcs of \c s.
  1683     ///\param s The source node
  1704     ///\param s The source node.
  1684     ///\param t The target node
  1705     ///\param t The target node.
  1685     ///\return An arc from \c s to \c t if there exists,
  1706     ///\return An arc from \c s to \c t if there exists,
  1686     ///\ref INVALID otherwise.
  1707     ///\ref INVALID otherwise.
  1687     ///
  1708     ///
  1688     ///\warning If you change the digraph, refresh() must be called before using
  1709     ///\warning If you change the digraph, refresh() must be called before using
  1689     ///this operator. If you change the outgoing arcs of
  1710     ///this operator. If you change the outgoing arcs of
  1690     ///a single node \c n, then
  1711     ///a single node \c n, then \ref refresh(Node) "refresh(n)" is enough.
  1691     ///\ref refresh(Node) "refresh(n)" is enough.
       
  1692     ///
       
  1693     Arc operator()(Node s, Node t) const
  1712     Arc operator()(Node s, Node t) const
  1694     {
  1713     {
  1695       Arc e;
  1714       Arc e;
  1696       for(e=_head[s];
  1715       for(e=_head[s];
  1697           e!=INVALID&&_g.target(e)!=t;
  1716           e!=INVALID&&_g.target(e)!=t;
  1699       return e;
  1718       return e;
  1700     }
  1719     }
  1701 
  1720 
  1702   };
  1721   };
  1703 
  1722 
  1704   ///Fast look up of all arcs between given endpoints.
  1723   ///Fast look-up of all arcs between given endpoints.
  1705 
  1724 
  1706   ///This class is the same as \ref ArcLookUp, with the addition
  1725   ///This class is the same as \ref ArcLookUp, with the addition
  1707   ///that it makes it possible to find all arcs between given endpoints.
  1726   ///that it makes it possible to find all parallel arcs between given
  1708   ///
  1727   ///endpoints.
  1709   ///\warning This class is static, so you should refresh() (or at least
  1728   ///
  1710   ///refresh(Node)) this data structure
  1729   ///\warning This class is static, so you should call refresh() (or at
  1711   ///whenever the digraph changes. This is a time consuming (superlinearly
  1730   ///least refresh(Node)) to refresh this data structure whenever the
  1712   ///proportional (<em>O(m</em>log<em>m)</em>) to the number of arcs).
  1731   ///digraph changes. This is a time consuming (superlinearly proportional
       
  1732   ///(<em>O</em>(<em>m</em> log<em>m</em>)) to the number of arcs).
  1713   ///
  1733   ///
  1714   ///\tparam G The type of the underlying digraph.
  1734   ///\tparam G The type of the underlying digraph.
  1715   ///
  1735   ///
  1716   ///\sa DynArcLookUp
  1736   ///\sa DynArcLookUp
  1717   ///\sa ArcLookUp
  1737   ///\sa ArcLookUp
  1731     Arc refreshNext(Arc head,Arc next=INVALID)
  1751     Arc refreshNext(Arc head,Arc next=INVALID)
  1732     {
  1752     {
  1733       if(head==INVALID) return next;
  1753       if(head==INVALID) return next;
  1734       else {
  1754       else {
  1735         next=refreshNext(_right[head],next);
  1755         next=refreshNext(_right[head],next);
  1736 //         _next[head]=next;
       
  1737         _next[head]=( next!=INVALID && _g.target(next)==_g.target(head))
  1756         _next[head]=( next!=INVALID && _g.target(next)==_g.target(head))
  1738           ? next : INVALID;
  1757           ? next : INVALID;
  1739         return refreshNext(_left[head],head);
  1758         return refreshNext(_left[head],head);
  1740       }
  1759       }
  1741     }
  1760     }
  1756 
  1775 
  1757     ///Refresh the data structure at a node.
  1776     ///Refresh the data structure at a node.
  1758 
  1777 
  1759     ///Build up the search database of node \c n.
  1778     ///Build up the search database of node \c n.
  1760     ///
  1779     ///
  1761     ///It runs in time <em>O(d</em>log<em>d)</em>, where <em>d</em> is
  1780     ///It runs in time <em>O</em>(<em>d</em> log<em>d</em>), where <em>d</em> is
  1762     ///the number of the outgoing arcs of \c n.
  1781     ///the number of the outgoing arcs of \c n.
  1763 
       
  1764     void refresh(Node n)
  1782     void refresh(Node n)
  1765     {
  1783     {
  1766       ArcLookUp<G>::refresh(n);
  1784       ArcLookUp<G>::refresh(n);
  1767       refreshNext(_head[n]);
  1785       refreshNext(_head[n]);
  1768     }
  1786     }
  1770     ///Refresh the full data structure.
  1788     ///Refresh the full data structure.
  1771 
  1789 
  1772     ///Build up the full search database. In fact, it simply calls
  1790     ///Build up the full search database. In fact, it simply calls
  1773     ///\ref refresh(Node) "refresh(n)" for each node \c n.
  1791     ///\ref refresh(Node) "refresh(n)" for each node \c n.
  1774     ///
  1792     ///
  1775     ///It runs in time <em>O(m</em>log<em>D)</em>, where <em>m</em> is
  1793     ///It runs in time <em>O</em>(<em>m</em> log<em>D</em>), where <em>m</em> is
  1776     ///the number of the arcs of \c n and <em>D</em> is the maximum
  1794     ///the number of the arcs in the digraph and <em>D</em> is the maximum
  1777     ///out-degree of the digraph.
  1795     ///out-degree of the digraph.
  1778 
       
  1779     void refresh()
  1796     void refresh()
  1780     {
  1797     {
  1781       for(NodeIt n(_g);n!=INVALID;++n) refresh(_head[n]);
  1798       for(NodeIt n(_g);n!=INVALID;++n) refresh(_head[n]);
  1782     }
  1799     }
  1783 
  1800 
  1784     ///Find an arc between two nodes.
  1801     ///Find an arc between two nodes.
  1785 
  1802 
  1786     ///Find an arc between two nodes.
  1803     ///Find an arc between two nodes.
  1787     ///\param s The source node
  1804     ///\param s The source node.
  1788     ///\param t The target node
  1805     ///\param t The target node.
  1789     ///\param prev The previous arc between \c s and \c t. It it is INVALID or
  1806     ///\param prev The previous arc between \c s and \c t. It it is INVALID or
  1790     ///not given, the operator finds the first appropriate arc.
  1807     ///not given, the operator finds the first appropriate arc.
  1791     ///\return An arc from \c s to \c t after \c prev or
  1808     ///\return An arc from \c s to \c t after \c prev or
  1792     ///\ref INVALID if there is no more.
  1809     ///\ref INVALID if there is no more.
  1793     ///
  1810     ///
  1794     ///For example, you can count the number of arcs from \c u to \c v in the
  1811     ///For example, you can count the number of arcs from \c u to \c v in the
  1795     ///following way.
  1812     ///following way.
  1796     ///\code
  1813     ///\code
  1797     ///AllArcLookUp<ListDigraph> ae(g);
  1814     ///AllArcLookUp<ListDigraph> ae(g);
  1798     ///...
  1815     ///...
  1799     ///int n=0;
  1816     ///int n = 0;
  1800     ///for(Arc e=ae(u,v);e!=INVALID;e=ae(u,v,e)) n++;
  1817     ///for(Arc a = ae(u,v); a != INVALID; a=ae(u,v,a)) n++;
  1801     ///\endcode
  1818     ///\endcode
  1802     ///
  1819     ///
  1803     ///Finding the first arc take <em>O(</em>log<em>d)</em> time, where
  1820     ///Finding the first arc take <em>O</em>(log<em>d</em>) time, where
  1804     /// <em>d</em> is the number of outgoing arcs of \c s. Then, the
  1821     ///<em>d</em> is the number of outgoing arcs of \c s. Then, the
  1805     ///consecutive arcs are found in constant time.
  1822     ///consecutive arcs are found in constant time.
  1806     ///
  1823     ///
  1807     ///\warning If you change the digraph, refresh() must be called before using
  1824     ///\warning If you change the digraph, refresh() must be called before using
  1808     ///this operator. If you change the outgoing arcs of
  1825     ///this operator. If you change the outgoing arcs of
  1809     ///a single node \c n, then
  1826     ///a single node \c n, then \ref refresh(Node) "refresh(n)" is enough.
  1810     ///\ref refresh(Node) "refresh(n)" is enough.
       
  1811     ///
  1827     ///
  1812 #ifdef DOXYGEN
  1828 #ifdef DOXYGEN
  1813     Arc operator()(Node s, Node t, Arc prev=INVALID) const {}
  1829     Arc operator()(Node s, Node t, Arc prev=INVALID) const {}
  1814 #else
  1830 #else
  1815     using ArcLookUp<G>::operator() ;
  1831     using ArcLookUp<G>::operator() ;