LEMON/LEMON-official Changeset - r525:9605e051942f

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Changeset - r525:9605e051942f

« 463:88ed40

581:6d3a9e »

r525:9605e051942f

Mon, 23 Feb 2009 12:10:26

[Not Reviewed]

0 comments (0 inline)

kpeter (Peter Kovacs)
kpeter@inf.elte.hu

Various doc improvements

0 8 0

default

8 files changed with 170 insertions and 171 deletions:

lemon/bfs.h

lemon/bits/array_map.h

lemon/bits/vector_map.h

lemon/circulation.h

lemon/concepts/graph_components.h

lemon/dfs.h

lemon/dijkstra.h

lemon/preflow.h

↑ Collapse diff ↑

lemon/bfs.h

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 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_BFS_H
 		#define LEMON_BFS_H
 		///\ingroup search
 		///\file
 		///\brief BFS algorithm.
 		#include <lemon/list_graph.h>
 		#include <lemon/bits/path_dump.h>
 		#include <lemon/core.h>
 		#include <lemon/error.h>
 		#include <lemon/maps.h>
 		#include <lemon/path.h>
 		namespace lemon {
 		  ///Default traits class of Bfs class.
 		  ///Default traits class of Bfs class.
 		  ///\tparam GR Digraph type.
 		  template<class GR>
 		  struct BfsDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a PredMap.
+		    ///Instantiates a \c PredMap.
 		    ///This function instantiates a PredMap.
+		    ///This function instantiates a \ref PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///PredMap.
+		    ///\ref PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
+		    ///Instantiates a \c ProcessedMap.
 		    ///This function instantiates a ProcessedMap.
+		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ProcessedMap
+		    ///we would like to define the \ref ProcessedMap
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that indicates which nodes are reached.
 		    ///The type of the map that indicates which nodes are reached.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a ReachedMap.
+		    ///Instantiates a \c ReachedMap.
 		    ///This function instantiates a ReachedMap.
+		    ///This function instantiates a \ref ReachedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ReachedMap.
+		    ///we would like to define the \ref ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
 		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<int> DistMap;
 		    ///Instantiates a DistMap.
+		    ///Instantiates a \c DistMap.
 		    ///This function instantiates a DistMap.
+		    ///This function instantiates a \ref DistMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///DistMap.
+		    ///\ref DistMap.
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		  };
 		  ///%BFS algorithm class.
 		  ///\ingroup search
 		  ///This class provides an efficient implementation of the %BFS algorithm.
 		  ///
 		  ///There is also a \ref bfs() "function-type interface" for the BFS
 		  ///algorithm, which is convenient in the simplier cases and it can be
 		  ///used easier.
 		  ///
 		  ///\tparam GR The type of the digraph the algorithm runs on.
 		  ///The default type is \ref ListDigraph.
 		#ifdef DOXYGEN
 		  template <typename GR,
 		            typename TR>
 		#else
 		  template <typename GR=ListDigraph,
 		            typename TR=BfsDefaultTraits<GR> >
 		#endif
 		  class Bfs {
 		  public:
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    ///\brief The type of the map that stores the predecessor arcs of the
 		    ///shortest paths.
 		    typedef typename TR::PredMap PredMap;
 		    ///The type of the map that stores the distances of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///The type of the map that indicates which nodes are reached.
 		    typedef typename TR::ReachedMap ReachedMap;
 		    ///The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the paths.
 		    typedef PredMapPath<Digraph, PredMap> Path;
 		    ///The \ref BfsDefaultTraits "traits class" of the algorithm.
 		    typedef TR Traits;
 		  private:
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    //Pointer to the underlying digraph.
 		    const Digraph *G;
 		    //Pointer to the map of predecessor arcs.
 		    PredMap *_pred;
 		    //Indicates if _pred is locally allocated (true) or not.
 		    bool local_pred;
 		    //Pointer to the map of distances.
 		    DistMap *_dist;
 		    //Indicates if _dist is locally allocated (true) or not.
 		    bool local_dist;
 		    //Pointer to the map of reached status of the nodes.
 		    ReachedMap *_reached;
 		    //Indicates if _reached is locally allocated (true) or not.
 		    bool local_reached;
 		    //Pointer to the map of processed status of the nodes.
 		    ProcessedMap *_processed;
 		    //Indicates if _processed is locally allocated (true) or not.
 		    bool local_processed;
 		    std::vector<typename Digraph::Node> _queue;
 		    int _queue_head,_queue_tail,_queue_next_dist;
 		    int _curr_dist;
 		    //Creates the maps if necessary.
 		    void create_maps()
+		    {
 		      if(!_pred) {
 		        local_pred = true;
 		        _pred = Traits::createPredMap(*G);
+		      }
 		      if(!_dist) {
 		        local_dist = true;
 		        _dist = Traits::createDistMap(*G);
+		      }
 		      if(!_reached) {
 		        local_reached = true;
 		        _reached = Traits::createReachedMap(*G);
+		      }
 		      if(!_processed) {
 		        local_processed = true;
 		        _processed = Traits::createProcessedMap(*G);
+		      }
+		    }
 		  protected:
 		    Bfs() {}
 		  public:
 		    typedef Bfs Create;
 		    ///\name Named Template Parameters
 		    ///@{
 		    template <class T>
 		    struct SetPredMapTraits : public Traits {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "PredMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///PredMap type.
+		    ///\c PredMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///PredMap type.
+		    ///\c PredMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetPredMap : public Bfs< Digraph, SetPredMapTraits<T> > {
 		      typedef Bfs< Digraph, SetPredMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetDistMapTraits : public Traits {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "DistMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///DistMap type.
+		    ///\c DistMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///DistMap type.
+		    ///\c DistMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetDistMap : public Bfs< Digraph, SetDistMapTraits<T> > {
 		      typedef Bfs< Digraph, SetDistMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetReachedMapTraits : public Traits {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "ReachedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ReachedMap type.
+		    ///\c ReachedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///ReachedMap type.
+		    ///\c ReachedMap type.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    template <class T>
 		    struct SetReachedMap : public Bfs< Digraph, SetReachedMapTraits<T> > {
 		      typedef Bfs< Digraph, SetReachedMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetProcessedMapTraits : public Traits {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "ProcessedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type.
+		    ///\c ProcessedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type.
+		    ///\c ProcessedMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetProcessedMap : public Bfs< Digraph, SetProcessedMapTraits<T> > {
 		      typedef Bfs< Digraph, SetProcessedMapTraits<T> > Create;
 		    };
 		    struct SetStandardProcessedMapTraits : public Traits {
 		      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &g)
+		      {
 		        return new ProcessedMap(g);
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
+		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
+		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///If you don't set it explicitly, it will be automatically allocated.
 		    struct SetStandardProcessedMap :
 		      public Bfs< Digraph, SetStandardProcessedMapTraits > {
 		      typedef Bfs< Digraph, SetStandardProcessedMapTraits > Create;
 		    };
 		    ///@}
 		  public:
 		    ///Constructor.
 		    ///Constructor.
 		    ///\param g The digraph the algorithm runs on.
 		    Bfs(const Digraph &g) :
 		      G(&g),
 		      _pred(NULL), local_pred(false),
 		      _dist(NULL), local_dist(false),
 		      _reached(NULL), local_reached(false),
 		      _processed(NULL), local_processed(false)
 		    { }
 		    ///Destructor.
 		    ~Bfs()
+		    {
 		      if(local_pred) delete _pred;
 		      if(local_dist) delete _dist;
 		      if(local_reached) delete _reached;
 		      if(local_processed) delete _processed;
+		    }
 		    ///Sets the map that stores the predecessor arcs.
 		    ///Sets the map that stores the predecessor arcs.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Bfs &predMap(PredMap &m)
+		    {
 		      if(local_pred) {
 		        delete _pred;
 		        local_pred=false;
+		      }
 		      _pred = &m;
 		      return *this;
+		    }
 		    ///Sets the map that indicates which nodes are reached.
 		    ///Sets the map that indicates which nodes are reached.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Bfs &reachedMap(ReachedMap &m)
+		    {
 		      if(local_reached) {
 		        delete _reached;
 		        local_reached=false;
+		      }
 		      _reached = &m;
 		      return *this;
+		    }
 		    ///Sets the map that indicates which nodes are processed.
 		    ///Sets the map that indicates which nodes are processed.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Bfs &processedMap(ProcessedMap &m)
+		    {
 		      if(local_processed) {
 		        delete _processed;
 		        local_processed=false;
+		      }
 		      _processed = &m;
 		      return *this;
+		    }
 		    ///Sets the map that stores the distances of the nodes.
 		    ///Sets the map that stores the distances of the nodes calculated by
 		    ///the algorithm.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Bfs &distMap(DistMap &m)
+		    {
 		      if(local_dist) {
 		        delete _dist;
 		        local_dist=false;
+		      }
 		      _dist = &m;
 		      return *this;
+		    }
 		  public:
 		    ///\name Execution Control
 		    ///The simplest way to execute the BFS algorithm is to use one of the
 		    ///member functions called \ref run(Node) "run()".\n
 		    ///If you need more control on the execution, first you have to call
 		    ///\ref init(), then you can add several source nodes with
 		    ///\ref addSource(). Finally the actual path computation can be
 		    ///performed with one of the \ref start() functions.
 		    ///@{
 		    ///\brief Initializes the internal data structures.
 		    ///
 		    ///Initializes the internal data structures.
 		    void init()
+		    {
 		      create_maps();
 		      _queue.resize(countNodes(*G));
 		      _queue_head=_queue_tail=0;
 		      _curr_dist=1;
 		      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
 		        _pred->set(u,INVALID);
 		        _reached->set(u,false);
 		        _processed->set(u,false);
+		      }
+		    }
 		    ///Adds a new source node.
 		    ///Adds a new source node to the set of nodes to be processed.
 		    ///
 		    void addSource(Node s)
+		    {
 		      if(!(*_reached)[s])
+		        {
 		          _reached->set(s,true);
 		          _pred->set(s,INVALID);
 		          _dist->set(s,0);
 		          _queue[_queue_head++]=s;
 		          _queue_next_dist=_queue_head;
+		        }
+		    }
 		    ///Processes the next node.
 		    ///Processes the next node.
 		    ///
 		    ///\return The processed node.
 		    ///
 		    ///\pre The queue must not be empty.
 		    Node processNextNode()
+		    {
 		      if(_queue_tail==_queue_next_dist) {
 		        _curr_dist++;
 		        _queue_next_dist=_queue_head;
+		      }
 		      Node n=_queue[_queue_tail++];
 		      _processed->set(n,true);
 		      Node m;
 		      for(OutArcIt e(*G,n);e!=INVALID;++e)
 		        if(!(*_reached)[m=G->target(e)]) {
 		          _queue[_queue_head++]=m;
 		          _reached->set(m,true);
 		          _pred->set(m,e);
 		          _dist->set(m,_curr_dist);
+		        }
 		      return n;
+		    }
 		    ///Processes the next node.
 		    ///Processes the next node and checks if the given target node
 		    ///is reached. If the target node is reachable from the processed
 		    ///node, then the \c reach parameter will be set to \c true.
 		    ///
 		    ///\param target The target node.
 		    ///\retval reach Indicates if the target node is reached.
 		    ///It should be initially \c false.
 		    ///
 		    ///\return The processed node.
 		    ///
 		    ///\pre The queue must not be empty.
 		    Node processNextNode(Node target, bool& reach)
+		    {
 		      if(_queue_tail==_queue_next_dist) {
 		        _curr_dist++;
 		        _queue_next_dist=_queue_head;
+		      }
 		      Node n=_queue[_queue_tail++];
 		      _processed->set(n,true);
 		      Node m;
 		      for(OutArcIt e(*G,n);e!=INVALID;++e)
 		        if(!(*_reached)[m=G->target(e)]) {
 		          _queue[_queue_head++]=m;
 		          _reached->set(m,true);
 		          _pred->set(m,e);
 		          _dist->set(m,_curr_dist);
 		          reach = reach || (target == m);
+		        }
 		      return n;
+		    }
 		    ///Processes the next node.
 		    ///Processes the next node and checks if at least one of reached
 		    ///nodes has \c true value in the \c nm node map. If one node
 		    ///with \c true value is reachable from the processed node, then the
 		    ///\c rnode parameter will be set to the first of such nodes.
 		    ///
 		    ///\param nm A \c bool (or convertible) node map that indicates the
 		    ///possible targets.
 		    ///\retval rnode The reached target node.
 		    ///It should be initially \c INVALID.
 		    ///
 		    ///\return The processed node.
 		    ///
 		    ///\pre The queue must not be empty.
 		    template<class NM>
 		    Node processNextNode(const NM& nm, Node& rnode)
+		    {
 		      if(_queue_tail==_queue_next_dist) {
 		        _curr_dist++;
 		        _queue_next_dist=_queue_head;
+		      }
 		      Node n=_queue[_queue_tail++];
 		      _processed->set(n,true);
 		      Node m;
 		      for(OutArcIt e(*G,n);e!=INVALID;++e)
 		        if(!(*_reached)[m=G->target(e)]) {
 		          _queue[_queue_head++]=m;
 		          _reached->set(m,true);
 		          _pred->set(m,e);
 		          _dist->set(m,_curr_dist);
 		          if (nm[m] && rnode == INVALID) rnode = m;
+		        }
 		      return n;
+		    }
 		    ///The next node to be processed.
 		    ///Returns the next node to be processed or \c INVALID if the queue
 		    ///is empty.
 		    Node nextNode() const
+		    {
 		      return _queue_tail<_queue_head?_queue[_queue_tail]:INVALID;
+		    }
 		    ///Returns \c false if there are nodes to be processed.
 		    ///Returns \c false if there are nodes to be processed
 		    ///in the queue.
 		    bool emptyQueue() const { return _queue_tail==_queue_head; }
 		    ///Returns the number of the nodes to be processed.
 		    ///Returns the number of the nodes to be processed
 		    ///in the queue.
 		    int queueSize() const { return _queue_head-_queue_tail; }
 		    ///Executes the algorithm.
 		    ///Executes the algorithm.
 		    ///
 		    ///This method runs the %BFS algorithm from the root node(s)
 		    ///in order to compute the shortest path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the shortest path tree (forest),
 		    ///- the distance of each node from the root(s).
 		    ///
 		    ///\pre init() must be called and at least one root node should be
 		    ///added with addSource() before using this function.
 		    ///
 		    ///\note <tt>b.start()</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  while ( !b.emptyQueue() ) {
 		    ///    b.processNextNode();
 		    ///  }
 		    ///\endcode
 		    void start()
+		    {
 		      while ( !emptyQueue() ) processNextNode();
+		    }
 		    ///Executes the algorithm until the given target node is reached.
 		    ///Executes the algorithm until the given target node is reached.
 		    ///
 		    ///This method runs the %BFS algorithm from the root node(s)
 		    ///in order to compute the shortest path to \c t.
 		    ///
 		    ///The algorithm computes
 		    ///- the shortest path to \c t,
 		    ///- the distance of \c t from the root(s).
 		    ///
 		    ///\pre init() must be called and at least one root node should be
 		    ///added with addSource() before using this function.
 		    ///
 		    ///\note <tt>b.start(t)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  bool reach = false;
 		    ///  while ( !b.emptyQueue() && !reach ) {
 		    ///    b.processNextNode(t, reach);
 		    ///  }
 		    ///\endcode
 		    void start(Node t)
+		    {
 		      bool reach = false;
 		      while ( !emptyQueue() && !reach ) processNextNode(t, reach);
+		    }
 		    ///Executes the algorithm until a condition is met.
 		    ///Executes the algorithm until a condition is met.
 		    ///
 		    ///This method runs the %BFS algorithm from the root node(s) in
 		    ///order to compute the shortest path to a node \c v with
 		    /// <tt>nm[v]</tt> true, if such a node can be found.
 		    ///
 		    ///\param nm A \c bool (or convertible) node map. The algorithm
 		    ///will stop when it reaches a node \c v with <tt>nm[v]</tt> true.
 		    ///
 		    ///\return The reached node \c v with <tt>nm[v]</tt> true or
 		    ///\c INVALID if no such node was found.
 		    ///
 		    ///\pre init() must be called and at least one root node should be
 		    ///added with addSource() before using this function.
 		    ///
 		    ///\note <tt>b.start(nm)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  Node rnode = INVALID;
 		    ///  while ( !b.emptyQueue() && rnode == INVALID ) {
 		    ///    b.processNextNode(nm, rnode);
 		    ///  }
 		    ///  return rnode;
 		    ///\endcode
 		    template<class NodeBoolMap>
 		    Node start(const NodeBoolMap &nm)
+		    {
 		      Node rnode = INVALID;
 		      while ( !emptyQueue() && rnode == INVALID ) {
 		        processNextNode(nm, rnode);
+		      }
 		      return rnode;
+		    }
 		    ///Runs the algorithm from the given source node.
 		    ///This method runs the %BFS algorithm from node \c s
 		    ///in order to compute the shortest path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the shortest path tree,
 		    ///- the distance of each node from the root.
 		    ///
 		    ///\note <tt>b.run(s)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  b.init();
 		    ///  b.addSource(s);
 		    ///  b.start();
 		    ///\endcode
 		    void run(Node s) {
 		      init();
 		      addSource(s);
 		      start();
+		    }
 		    ///Finds the shortest path between \c s and \c t.
 		    ///This method runs the %BFS algorithm from node \c s
 		    ///in order to compute the shortest path to node \c t
 		    ///(it stops searching when \c t is processed).
 		    ///
 		    ///\return \c true if \c t is reachable form \c s.
 		    ///
 		    ///\note Apart from the return value, <tt>b.run(s,t)</tt> is just a
 		    ///shortcut of the following code.
 		    ///\code
 		    ///  b.init();
@@ -813,899 +813,899 @@
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    bool reached(Node v) const { return (*_reached)[v]; }
 		    ///@}
 		  };
 		  ///Default traits class of bfs() function.
 		  ///Default traits class of bfs() function.
 		  ///\tparam GR Digraph type.
 		  template<class GR>
 		  struct BfsWizardDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a PredMap.
 		    ///This function instantiates a PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///By default it is a NullMap.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
 		    ///This function instantiates a ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ProcessedMap.
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that indicates which nodes are reached.
 		    ///The type of the map that indicates which nodes are reached.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a ReachedMap.
 		    ///This function instantiates a ReachedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
 		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<int> DistMap;
 		    ///Instantiates a DistMap.
 		    ///This function instantiates a DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the DistMap
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		    ///The type of the shortest paths.
 		    ///The type of the shortest paths.
 		    ///It must meet the \ref concepts::Path "Path" concept.
 		    typedef lemon::Path<Digraph> Path;
 		  };
 		  /// Default traits class used by BfsWizard
 		  /// To make it easier to use Bfs algorithm
 		  /// we have created a wizard class.
 		  /// This \ref BfsWizard class needs default traits,
 		  /// as well as the \ref Bfs class.
 		  /// The \ref BfsWizardBase is a class to be the default traits of the
 		  /// \ref BfsWizard class.
 		  template<class GR>
 		  class BfsWizardBase : public BfsWizardDefaultTraits<GR>
+		  {
 		    typedef BfsWizardDefaultTraits<GR> Base;
 		  protected:
 		    //The type of the nodes in the digraph.
 		    typedef typename Base::Digraph::Node Node;
 		    //Pointer to the digraph the algorithm runs on.
 		    void *_g;
 		    //Pointer to the map of reached nodes.
 		    void *_reached;
 		    //Pointer to the map of processed nodes.
 		    void *_processed;
 		    //Pointer to the map of predecessors arcs.
 		    void *_pred;
 		    //Pointer to the map of distances.
 		    void *_dist;
 		    //Pointer to the shortest path to the target node.
 		    void *_path;
 		    //Pointer to the distance of the target node.
 		    int *_di;
 		    public:
 		    /// Constructor.
 		    /// This constructor does not require parameters, therefore it initiates
 		    /// all of the attributes to \c 0.
 		    BfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
 		                      _dist(0), _path(0), _di(0) {}
 		    /// Constructor.
 		    /// This constructor requires one parameter,
 		    /// others are initiated to \c 0.
 		    /// \param g The digraph the algorithm runs on.
 		    BfsWizardBase(const GR &g) :
 		      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
 		      _reached(0), _processed(0), _pred(0), _dist(0),  _path(0), _di(0) {}
 		  };
 		  /// Auxiliary class for the function-type interface of BFS algorithm.
 		  /// This auxiliary class is created to implement the
 		  /// \ref bfs() "function-type interface" of \ref Bfs algorithm.
 		  /// It does not have own \ref run(Node) "run()" method, it uses the
 		  /// functions and features of the plain \ref Bfs.
 		  ///
 		  /// This class should only be used through the \ref bfs() function,
 		  /// which makes it easier to use the algorithm.
 		  template<class TR>
 		  class BfsWizard : public TR
+		  {
 		    typedef TR Base;
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    typedef typename TR::PredMap PredMap;
 		    ///\brief The type of the map that stores the distances of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///\brief The type of the map that indicates which nodes are reached.
 		    typedef typename TR::ReachedMap ReachedMap;
 		    ///\brief The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the shortest paths
 		    typedef typename TR::Path Path;
 		  public:
 		    /// Constructor.
 		    BfsWizard() : TR() {}
 		    /// Constructor that requires parameters.
 		    /// Constructor that requires parameters.
 		    /// These parameters will be the default values for the traits class.
 		    /// \param g The digraph the algorithm runs on.
 		    BfsWizard(const Digraph &g) :
 		      TR(g) {}
 		    ///Copy constructor
 		    BfsWizard(const TR &b) : TR(b) {}
 		    ~BfsWizard() {}
 		    ///Runs BFS algorithm from the given source node.
 		    ///This method runs BFS algorithm from node \c s
 		    ///in order to compute the shortest path to each node.
 		    void run(Node s)
+		    {
 		      Bfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
 		      if (Base::_pred)
 		        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
 		      if (Base::_dist)
 		        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
 		      if (Base::_reached)
 		        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
 		      if (Base::_processed)
 		        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
 		      if (s!=INVALID)
 		        alg.run(s);
 		      else
 		        alg.run();
+		    }
 		    ///Finds the shortest path between \c s and \c t.
 		    ///This method runs BFS algorithm from node \c s
 		    ///in order to compute the shortest path to node \c t
 		    ///(it stops searching when \c t is processed).
 		    ///
 		    ///\return \c true if \c t is reachable form \c s.
 		    bool run(Node s, Node t)
+		    {
 		      Bfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
 		      if (Base::_pred)
 		        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
 		      if (Base::_dist)
 		        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
 		      if (Base::_reached)
 		        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
 		      if (Base::_processed)
 		        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
 		      alg.run(s,t);
 		      if (Base::_path)
 		        *reinterpret_cast<Path*>(Base::_path) = alg.path(t);
 		      if (Base::_di)
 		        *Base::_di = alg.dist(t);
 		      return alg.reached(t);
+		    }
 		    ///Runs BFS algorithm to visit all nodes in the digraph.
 		    ///This method runs BFS algorithm in order to compute
 		    ///the shortest path to each node.
 		    void run()
+		    {
 		      run(INVALID);
+		    }
 		    template<class T>
 		    struct SetPredMapBase : public Base {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &) { return 0; };
 		      SetPredMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for setting PredMap object.
 		    ///
 		    ///\ref named-func-param "Named parameter"
 		    ///for setting PredMap object.
 		    template<class T>
 		    BfsWizard<SetPredMapBase<T> > predMap(const T &t)
+		    {
 		      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<SetPredMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct SetReachedMapBase : public Base {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
 		      SetReachedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for setting ReachedMap object.
 		    ///
 		    /// \ref named-func-param "Named parameter"
 		    ///for setting ReachedMap object.
 		    template<class T>
 		    BfsWizard<SetReachedMapBase<T> > reachedMap(const T &t)
+		    {
 		      Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<SetReachedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct SetDistMapBase : public Base {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &) { return 0; };
 		      SetDistMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for setting DistMap object.
 		    ///
 		    /// \ref named-func-param "Named parameter"
 		    ///for setting DistMap object.
 		    template<class T>
 		    BfsWizard<SetDistMapBase<T> > distMap(const T &t)
+		    {
 		      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<SetDistMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct SetProcessedMapBase : public Base {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
 		      SetProcessedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for setting ProcessedMap object.
 		    ///
 		    /// \ref named-func-param "Named parameter"
 		    ///for setting ProcessedMap object.
 		    template<class T>
 		    BfsWizard<SetProcessedMapBase<T> > processedMap(const T &t)
+		    {
 		      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<SetProcessedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct SetPathBase : public Base {
 		      typedef T Path;
 		      SetPathBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for getting the shortest path to the target node.
 		    ///
 		    ///\ref named-func-param "Named parameter"
 		    ///for getting the shortest path to the target node.
 		    template<class T>
 		    BfsWizard<SetPathBase<T> > path(const T &t)
+		    {
 		      Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<SetPathBase<T> >(*this);
+		    }
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for getting the distance of the target node.
 		    ///
 		    ///\ref named-func-param "Named parameter"
 		    ///for getting the distance of the target node.
 		    BfsWizard dist(const int &d)
+		    {
 		      Base::_di=const_cast<int*>(&d);
 		      return *this;
+		    }
 		  };
 		  ///Function-type interface for BFS algorithm.
 		  /// \ingroup search
 		  ///Function-type interface for BFS algorithm.
 		  ///
 		  ///This function also has several \ref named-func-param "named parameters",
 		  ///they are declared as the members of class \ref BfsWizard.
 		  ///The following examples show how to use these parameters.
 		  ///\code
 		  ///  // Compute shortest path from node s to each node
 		  ///  bfs(g).predMap(preds).distMap(dists).run(s);
 		  ///
 		  ///  // Compute shortest path from s to t
 		  ///  bool reached = bfs(g).path(p).dist(d).run(s,t);
 		  ///\endcode
 		  ///\warning Don't forget to put the \ref BfsWizard::run(Node) "run()"
 		  ///to the end of the parameter list.
 		  ///\sa BfsWizard
 		  ///\sa Bfs
 		  template<class GR>
 		  BfsWizard<BfsWizardBase<GR> >
 		  bfs(const GR &digraph)
+		  {
 		    return BfsWizard<BfsWizardBase<GR> >(digraph);
+		  }
 		#ifdef DOXYGEN
 		  /// \brief Visitor class for BFS.
 		  ///
 		  /// This class defines the interface of the BfsVisit events, and
 		  /// it could be the base of a real visitor class.
-		  template <typename _Digraph>
+		  template <typename GR>
 		  struct BfsVisitor {
-		    typedef _Digraph Digraph;
+		    typedef GR Digraph;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::Node Node;
 		    /// \brief Called for the source node(s) of the BFS.
 		    ///
 		    /// This function is called for the source node(s) of the BFS.
 		    void start(const Node& node) {}
 		    /// \brief Called when a node is reached first time.
 		    ///
 		    /// This function is called when a node is reached first time.
 		    void reach(const Node& node) {}
 		    /// \brief Called when a node is processed.
 		    ///
 		    /// This function is called when a node is processed.
 		    void process(const Node& node) {}
 		    /// \brief Called when an arc reaches a new node.
 		    ///
 		    /// This function is called when the BFS finds an arc whose target node
 		    /// is not reached yet.
 		    void discover(const Arc& arc) {}
 		    /// \brief Called when an arc is examined but its target node is
 		    /// already discovered.
 		    ///
 		    /// This function is called when an arc is examined but its target node is
 		    /// already discovered.
 		    void examine(const Arc& arc) {}
 		  };
 		#else
-		  template <typename _Digraph>
+		  template <typename GR>
 		  struct BfsVisitor {
-		    typedef _Digraph Digraph;
+		    typedef GR Digraph;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::Node Node;
 		    void start(const Node&) {}
 		    void reach(const Node&) {}
 		    void process(const Node&) {}
 		    void discover(const Arc&) {}
 		    void examine(const Arc&) {}
 		    template <typename _Visitor>
 		    struct Constraints {
 		      void constraints() {
 		        Arc arc;
 		        Node node;
 		        visitor.start(node);
 		        visitor.reach(node);
 		        visitor.process(node);
 		        visitor.discover(arc);
 		        visitor.examine(arc);
+		      }
 		      _Visitor& visitor;
 		    };
 		  };
 		#endif
 		  /// \brief Default traits class of BfsVisit class.
 		  ///
 		  /// Default traits class of BfsVisit class.
 		  /// \tparam _Digraph The type of the digraph the algorithm runs on.
 		  template<class _Digraph>
 		  /// \tparam GR The type of the digraph the algorithm runs on.
 		  template<class GR>
 		  struct BfsVisitDefaultTraits {
 		    /// \brief The type of the digraph the algorithm runs on.
-		    typedef _Digraph Digraph;
+		    typedef GR Digraph;
 		    /// \brief The type of the map that indicates which nodes are reached.
 		    ///
 		    /// The type of the map that indicates which nodes are reached.
 		    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    /// \brief Instantiates a ReachedMap.
 		    ///
 		    /// This function instantiates a ReachedMap.
 		    /// \param digraph is the digraph, to which
 		    /// we would like to define the ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &digraph) {
 		      return new ReachedMap(digraph);
+		    }
 		  };
 		  /// \ingroup search
 		  ///
-		  /// \brief %BFS algorithm class with visitor interface.
 		  /// \brief BFS algorithm class with visitor interface.
 		  ///
-		  /// This class provides an efficient implementation of the %BFS algorithm
 		  /// This class provides an efficient implementation of the BFS algorithm
 		  /// with visitor interface.
 		  ///
-		  /// The %BfsVisit class provides an alternative interface to the Bfs
 		  /// The BfsVisit class provides an alternative interface to the Bfs
 		  /// class. It works with callback mechanism, the BfsVisit object calls
 		  /// the member functions of the \c Visitor class on every BFS event.
 		  ///
 		  /// This interface of the BFS algorithm should be used in special cases
 		  /// when extra actions have to be performed in connection with certain
 		  /// events of the BFS algorithm. Otherwise consider to use Bfs or bfs()
 		  /// instead.
 		  ///
 		  /// \tparam _Digraph The type of the digraph the algorithm runs on.
 		  /// The default value is
 		  /// \ref ListDigraph. The value of _Digraph is not used directly by
 		  /// \ref BfsVisit, it is only passed to \ref BfsVisitDefaultTraits.
 		  /// \tparam _Visitor The Visitor type that is used by the algorithm.
 		  /// \ref BfsVisitor "BfsVisitor<_Digraph>" is an empty visitor, which
 		  /// \tparam GR The type of the digraph the algorithm runs on.
 		  /// The default type is \ref ListDigraph.
 		  /// The value of GR is not used directly by \ref BfsVisit,
 		  /// it is only passed to \ref BfsVisitDefaultTraits.
 		  /// \tparam VS The Visitor type that is used by the algorithm.
 		  /// \ref BfsVisitor "BfsVisitor<GR>" is an empty visitor, which
 		  /// does not observe the BFS events. If you want to observe the BFS
 		  /// events, you should implement your own visitor class.
-		  /// \tparam _Traits Traits class to set various data types used by the
+		  /// \tparam TR Traits class to set various data types used by the
 		  /// algorithm. The default traits class is
-		  /// \ref BfsVisitDefaultTraits "BfsVisitDefaultTraits<_Digraph>".
+		  /// \ref BfsVisitDefaultTraits "BfsVisitDefaultTraits<GR>".
 		  /// See \ref BfsVisitDefaultTraits for the documentation of
 		  /// a BFS visit traits class.
 		#ifdef DOXYGEN
-		  template <typename _Digraph, typename _Visitor, typename _Traits>
+		  template <typename GR, typename VS, typename TR>
 		#else
 		  template <typename _Digraph = ListDigraph,
 		            typename _Visitor = BfsVisitor<_Digraph>,
-		            typename _Traits = BfsVisitDefaultTraits<_Digraph> >
+		  template <typename GR = ListDigraph,
 		            typename VS = BfsVisitor<GR>,
 		            typename TR = BfsVisitDefaultTraits<GR> >
 		#endif
 		  class BfsVisit {
 		  public:
 		    ///The traits class.
-		    typedef _Traits Traits;
+		    typedef TR Traits;
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename Traits::Digraph Digraph;
 		    ///The visitor type used by the algorithm.
-		    typedef _Visitor Visitor;
+		    typedef VS Visitor;
 		    ///The type of the map that indicates which nodes are reached.
 		    typedef typename Traits::ReachedMap ReachedMap;
 		  private:
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    //Pointer to the underlying digraph.
 		    const Digraph *_digraph;
 		    //Pointer to the visitor object.
 		    Visitor *_visitor;
 		    //Pointer to the map of reached status of the nodes.
 		    ReachedMap *_reached;
 		    //Indicates if _reached is locally allocated (true) or not.
 		    bool local_reached;
 		    std::vector<typename Digraph::Node> _list;
 		    int _list_front, _list_back;
 		    //Creates the maps if necessary.
 		    void create_maps() {
 		      if(!_reached) {
 		        local_reached = true;
 		        _reached = Traits::createReachedMap(*_digraph);
+		      }
+		    }
 		  protected:
 		    BfsVisit() {}
 		  public:
 		    typedef BfsVisit Create;
 		    /// \name Named Template Parameters
 		    ///@{
 		    template <class T>
 		    struct SetReachedMapTraits : public Traits {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &digraph) {
 		        LEMON_ASSERT(false, "ReachedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// ReachedMap type.
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting ReachedMap type.
 		    template <class T>
 		    struct SetReachedMap : public BfsVisit< Digraph, Visitor,
 		                                            SetReachedMapTraits<T> > {
 		      typedef BfsVisit< Digraph, Visitor, SetReachedMapTraits<T> > Create;
 		    };
 		    ///@}
 		  public:
 		    /// \brief Constructor.
 		    ///
 		    /// Constructor.
 		    ///
 		    /// \param digraph The digraph the algorithm runs on.
 		    /// \param visitor The visitor object of the algorithm.
 		    BfsVisit(const Digraph& digraph, Visitor& visitor)
 		      : _digraph(&digraph), _visitor(&visitor),
 		        _reached(0), local_reached(false) {}
 		    /// \brief Destructor.
 		    ~BfsVisit() {
 		      if(local_reached) delete _reached;
+		    }
 		    /// \brief Sets the map that indicates which nodes are reached.
 		    ///
 		    /// Sets the map that indicates which nodes are reached.
 		    /// If you don't use this function before calling \ref run(Node) "run()"
 		    /// or \ref init(), an instance will be allocated automatically.
 		    /// The destructor deallocates this automatically allocated map,
 		    /// of course.
 		    /// \return <tt> (*this) </tt>
 		    BfsVisit &reachedMap(ReachedMap &m) {
 		      if(local_reached) {
 		        delete _reached;
 		        local_reached = false;
+		      }
 		      _reached = &m;
 		      return *this;
+		    }
 		  public:
 		    /// \name Execution Control
 		    /// The simplest way to execute the BFS algorithm is to use one of the
 		    /// member functions called \ref run(Node) "run()".\n
 		    /// If you need more control on the execution, first you have to call
 		    /// \ref init(), then you can add several source nodes with
 		    /// \ref addSource(). Finally the actual path computation can be
 		    /// performed with one of the \ref start() functions.
 		    /// @{
 		    /// \brief Initializes the internal data structures.
 		    ///
 		    /// Initializes the internal data structures.
 		    void init() {
 		      create_maps();
 		      _list.resize(countNodes(*_digraph));
 		      _list_front = _list_back = -1;
 		      for (NodeIt u(*_digraph) ; u != INVALID ; ++u) {
 		        _reached->set(u, false);
+		      }
+		    }
 		    /// \brief Adds a new source node.
 		    ///
 		    /// Adds a new source node to the set of nodes to be processed.
 		    void addSource(Node s) {
 		      if(!(*_reached)[s]) {
 		          _reached->set(s,true);
 		          _visitor->start(s);
 		          _visitor->reach(s);
 		          _list[++_list_back] = s;
+		        }
+		    }
 		    /// \brief Processes the next node.
 		    ///
 		    /// Processes the next node.
 		    ///
 		    /// \return The processed node.
 		    ///
 		    /// \pre The queue must not be empty.
 		    Node processNextNode() {
 		      Node n = _list[++_list_front];
 		      _visitor->process(n);
 		      Arc e;
 		      for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) {
 		        Node m = _digraph->target(e);
 		        if (!(*_reached)[m]) {
 		          _visitor->discover(e);
 		          _visitor->reach(m);
 		          _reached->set(m, true);
 		          _list[++_list_back] = m;
 		        } else {
 		          _visitor->examine(e);
+		        }
+		      }
 		      return n;
+		    }
 		    /// \brief Processes the next node.
 		    ///
 		    /// Processes the next node and checks if the given target node
 		    /// is reached. If the target node is reachable from the processed
 		    /// node, then the \c reach parameter will be set to \c true.
 		    ///
 		    /// \param target The target node.
 		    /// \retval reach Indicates if the target node is reached.
 		    /// It should be initially \c false.
 		    ///
 		    /// \return The processed node.
 		    ///
 		    /// \pre The queue must not be empty.
 		    Node processNextNode(Node target, bool& reach) {
 		      Node n = _list[++_list_front];
 		      _visitor->process(n);
 		      Arc e;
 		      for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) {
 		        Node m = _digraph->target(e);
 		        if (!(*_reached)[m]) {
 		          _visitor->discover(e);
 		          _visitor->reach(m);
 		          _reached->set(m, true);
 		          _list[++_list_back] = m;
 		          reach = reach || (target == m);
 		        } else {
 		          _visitor->examine(e);
+		        }
+		      }
 		      return n;
+		    }
 		    /// \brief Processes the next node.
 		    ///
 		    /// Processes the next node and checks if at least one of reached
 		    /// nodes has \c true value in the \c nm node map. If one node
 		    /// with \c true value is reachable from the processed node, then the
 		    /// \c rnode parameter will be set to the first of such nodes.
 		    ///
 		    /// \param nm A \c bool (or convertible) node map that indicates the
 		    /// possible targets.
 		    /// \retval rnode The reached target node.
 		    /// It should be initially \c INVALID.
 		    ///
 		    /// \return The processed node.
 		    ///
 		    /// \pre The queue must not be empty.
 		    template <typename NM>
 		    Node processNextNode(const NM& nm, Node& rnode) {
 		      Node n = _list[++_list_front];
 		      _visitor->process(n);
 		      Arc e;
 		      for (_digraph->firstOut(e, n); e != INVALID; _digraph->nextOut(e)) {
 		        Node m = _digraph->target(e);
 		        if (!(*_reached)[m]) {
 		          _visitor->discover(e);
 		          _visitor->reach(m);
 		          _reached->set(m, true);
 		          _list[++_list_back] = m;
 		          if (nm[m] && rnode == INVALID) rnode = m;
 		        } else {
 		          _visitor->examine(e);
+		        }
+		      }
 		      return n;
+		    }
 		    /// \brief The next node to be processed.
 		    ///
 		    /// Returns the next node to be processed or \c INVALID if the queue
 		    /// is empty.
 		    Node nextNode() const {
 		      return _list_front != _list_back ? _list[_list_front + 1] : INVALID;
+		    }
 		    /// \brief Returns \c false if there are nodes
 		    /// to be processed.
 		    ///
 		    /// Returns \c false if there are nodes
 		    /// to be processed in the queue.
 		    bool emptyQueue() const { return _list_front == _list_back; }
 		    /// \brief Returns the number of the nodes to be processed.
 		    ///
 		    /// Returns the number of the nodes to be processed in the queue.
 		    int queueSize() const { return _list_back - _list_front; }
 		    /// \brief Executes the algorithm.
 		    ///
 		    /// Executes the algorithm.
 		    ///
 		    /// This method runs the %BFS algorithm from the root node(s)
 		    /// in order to compute the shortest path to each node.
 		    ///
 		    /// The algorithm computes
 		    /// - the shortest path tree (forest),
 		    /// - the distance of each node from the root(s).
 		    ///
 		    /// \pre init() must be called and at least one root node should be added
 		    /// with addSource() before using this function.
 		    ///
 		    /// \note <tt>b.start()</tt> is just a shortcut of the following code.
 		    /// \code
 		    ///   while ( !b.emptyQueue() ) {
 		    ///     b.processNextNode();
 		    ///   }
 		    /// \endcode
 		    void start() {
 		      while ( !emptyQueue() ) processNextNode();
+		    }
 		    /// \brief Executes the algorithm until the given target node is reached.
 		    ///
 		    /// Executes the algorithm until the given target node is reached.
 		    ///
 		    /// This method runs the %BFS algorithm from the root node(s)
 		    /// in order to compute the shortest path to \c t.
 		    ///
 		    /// The algorithm computes
 		    /// - the shortest path to \c t,
 		    /// - the distance of \c t from the root(s).
 		    ///
 		    /// \pre init() must be called and at least one root node should be
 		    /// added with addSource() before using this function.
 		    ///
 		    /// \note <tt>b.start(t)</tt> is just a shortcut of the following code.
 		    /// \code
 		    ///   bool reach = false;
 		    ///   while ( !b.emptyQueue() && !reach ) {
 		    ///     b.processNextNode(t, reach);
 		    ///   }
 		    /// \endcode
 		    void start(Node t) {
 		      bool reach = false;
 		      while ( !emptyQueue() && !reach ) processNextNode(t, reach);
+		    }
 		    /// \brief Executes the algorithm until a condition is met.
 		    ///
 		    /// Executes the algorithm until a condition is met.
 		    ///
 		    /// This method runs the %BFS algorithm from the root node(s) in
 		    /// order to compute the shortest path to a node \c v with
 		    /// <tt>nm[v]</tt> true, if such a node can be found.
 		    ///
 		    /// \param nm must be a bool (or convertible) node map. The
 		    /// algorithm will stop when it reaches a node \c v with
 		    /// <tt>nm[v]</tt> true.
 		    ///
 		    /// \return The reached node \c v with <tt>nm[v]</tt> true or
 		    /// \c INVALID if no such node was found.
 		    ///
 		    /// \pre init() must be called and at least one root node should be
 		    /// added with addSource() before using this function.
 		    ///
 		    /// \note <tt>b.start(nm)</tt> is just a shortcut of the following code.
 		    /// \code
 		    ///   Node rnode = INVALID;
 		    ///   while ( !b.emptyQueue() && rnode == INVALID ) {
 		    ///     b.processNextNode(nm, rnode);
 		    ///   }
 		    ///   return rnode;
 		    /// \endcode
 		    template <typename NM>
 		    Node start(const NM &nm) {
 		      Node rnode = INVALID;
 		      while ( !emptyQueue() && rnode == INVALID ) {
 		        processNextNode(nm, rnode);
+		      }
 		      return rnode;
+		    }
 		    /// \brief Runs the algorithm from the given source node.
 		    ///
 		    /// This method runs the %BFS algorithm from node \c s
 		    /// in order to compute the shortest path to each node.
 		    ///
 		    /// The algorithm computes
 		    /// - the shortest path tree,
 		    /// - the distance of each node from the root.
 		    ///
 		    /// \note <tt>b.run(s)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///   b.init();
 		    ///   b.addSource(s);
 		    ///   b.start();
 		    ///\endcode
 		    void run(Node s) {
 		      init();
 		      addSource(s);
 		      start();
+		    }
 		    /// \brief Finds the shortest path between \c s and \c t.
 		    ///
 		    /// This method runs the %BFS algorithm from node \c s
 		    /// in order to compute the shortest path to node \c t
 		    /// (it stops searching when \c t is processed).
 		    ///
 		    /// \return \c true if \c t is reachable form \c s.
 		    ///
 		    /// \note Apart from the return value, <tt>b.run(s,t)</tt> is just a
 		    /// shortcut of the following code.
 		    ///\code
 		    ///   b.init();
 		    ///   b.addSource(s);
 		    ///   b.start(t);
 		    ///\endcode
 		    bool run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return reached(t);
+		    }
 		    /// \brief Runs the algorithm to visit all nodes in the digraph.
 		    ///
 		    /// This method runs the %BFS algorithm in order to
 		    /// compute the shortest path to each node.
 		    ///
 		    /// The algorithm computes
 		    /// - the shortest path tree (forest),
 		    /// - the distance of each node from the root(s).
 		    ///
 		    /// \note <tt>b.run(s)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  b.init();
 		    ///  for (NodeIt n(gr); n != INVALID; ++n) {

lemon/bits/array_map.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_BITS_ARRAY_MAP_H
 		#define LEMON_BITS_ARRAY_MAP_H
 		#include <memory>
 		#include <lemon/bits/traits.h>
 		#include <lemon/bits/alteration_notifier.h>
 		#include <lemon/concept_check.h>
 		#include <lemon/concepts/maps.h>
 		// \ingroup graphbits
 		// \file
 		// \brief Graph map based on the array storage.
 		namespace lemon {
 		  // \ingroup graphbits
 		  //
 		  // \brief Graph map based on the array storage.
 		  //
 		  // The ArrayMap template class is graph map structure that automatically
 		  // updates the map when a key is added to or erased from the graph.
 		  // This map uses the allocators to implement the container functionality.
 		  //
 		  // The template parameters are the Graph, the current Item type and
 		  // the Value type of the map.
 		  template <typename _Graph, typename _Item, typename _Value>
 		  class ArrayMap
 		    : public ItemSetTraits<_Graph, _Item>::ItemNotifier::ObserverBase {
 		  public:
 		    // The graph type.
 		    typedef _Graph Graph;
 		    // The item type.
 		    typedef _Item Item;
 		    // The reference map tag.
 		    typedef True ReferenceMapTag;
 		    // The key type of the map.
 		    typedef _Item Key;
 		    // The value type of the map.
 		    typedef _Value Value;
 		    // The const reference type of the map.
 		    typedef const _Value& ConstReference;
 		    // The reference type of the map.
 		    typedef _Value& Reference;
 		    // The notifier type.
 		    typedef typename ItemSetTraits<_Graph, _Item>::ItemNotifier Notifier;
 		    // The MapBase of the Map which imlements the core regisitry function.
 		    typedef typename Notifier::ObserverBase Parent;
 		  private:
 		    typedef std::allocator<Value> Allocator;
 		  public:
 		    // \brief Graph initialized map constructor.
 		    //
 		    // Graph initialized map constructor.
 		    explicit ArrayMap(const Graph& graph) {
 		      Parent::attach(graph.notifier(Item()));
 		      allocate_memory();
 		      Notifier* nf = Parent::notifier();
 		      Item it;
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        int id = nf->id(it);;
 		        allocator.construct(&(values[id]), Value());
+		      }
+		    }
 		    // \brief Constructor to use default value to initialize the map.
 		    //
 		    // It constructs a map and initialize all of the the map.
 		    ArrayMap(const Graph& graph, const Value& value) {
 		      Parent::attach(graph.notifier(Item()));
 		      allocate_memory();
 		      Notifier* nf = Parent::notifier();
 		      Item it;
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        int id = nf->id(it);;
 		        allocator.construct(&(values[id]), value);
+		      }
+		    }
 		  private:
 		    // \brief Constructor to copy a map of the same map type.
 		    //
 		    // Constructor to copy a map of the same map type.
 		    ArrayMap(const ArrayMap& copy) : Parent() {
 		      if (copy.attached()) {
 		        attach(*copy.notifier());
+		      }
 		      capacity = copy.capacity;
 		      if (capacity == 0) return;
 		      values = allocator.allocate(capacity);
 		      Notifier* nf = Parent::notifier();
 		      Item it;
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        int id = nf->id(it);;
 		        allocator.construct(&(values[id]), copy.values[id]);
+		      }
+		    }
 		    // \brief Assign operator.
 		    //
 		    // This operator assigns for each item in the map the
 		    // value mapped to the same item in the copied map.
 		    // The parameter map should be indiced with the same
 		    // itemset because this assign operator does not change
 		    // the container of the map.
 		    ArrayMap& operator=(const ArrayMap& cmap) {
 		      return operator=<ArrayMap>(cmap);
+		    }
 		    // \brief Template assign operator.
 		    //
-		    // The given parameter should be conform to the ReadMap
 		    // The given parameter should conform to the ReadMap
 		    // concecpt and could be indiced by the current item set of
 		    // the NodeMap. In this case the value for each item
 		    // is assigned by the value of the given ReadMap.
 		    template <typename CMap>
 		    ArrayMap& operator=(const CMap& cmap) {
 		      checkConcept<concepts::ReadMap<Key, _Value>, CMap>();
 		      const typename Parent::Notifier* nf = Parent::notifier();
 		      Item it;
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        set(it, cmap[it]);
+		      }
 		      return *this;
+		    }
 		  public:
 		    // \brief The destructor of the map.
 		    //
 		    // The destructor of the map.
 		    virtual ~ArrayMap() {
 		      if (attached()) {
 		        clear();
 		        detach();
+		      }
+		    }
 		  protected:
 		    using Parent::attach;
 		    using Parent::detach;
 		    using Parent::attached;
 		  public:
 		    // \brief The subscript operator.
 		    //
 		    // The subscript operator. The map can be subscripted by the
 		    // actual keys of the graph.
 		    Value& operator[](const Key& key) {
 		      int id = Parent::notifier()->id(key);
 		      return values[id];
+		    }
 		    // \brief The const subscript operator.
 		    //
 		    // The const subscript operator. The map can be subscripted by the
 		    // actual keys of the graph.
 		    const Value& operator[](const Key& key) const {
 		      int id = Parent::notifier()->id(key);
 		      return values[id];
+		    }
 		    // \brief Setter function of the map.
 		    //
 		    // Setter function of the map. Equivalent with map[key] = val.
 		    // This is a compatibility feature with the not dereferable maps.
 		    void set(const Key& key, const Value& val) {
 		      (*this)[key] = val;
+		    }
 		  protected:
 		    // \brief Adds a new key to the map.
 		    //
 		    // It adds a new key to the map. It is called by the observer notifier
 		    // and it overrides the add() member function of the observer base.
 		    virtual void add(const Key& key) {
 		      Notifier* nf = Parent::notifier();
 		      int id = nf->id(key);
 		      if (id >= capacity) {
 		        int new_capacity = (capacity == 0 ? 1 : capacity);
 		        while (new_capacity <= id) {
 		          new_capacity <<= 1;
+		        }
 		        Value* new_values = allocator.allocate(new_capacity);
 		        Item it;
 		        for (nf->first(it); it != INVALID; nf->next(it)) {
 		          int jd = nf->id(it);;
 		          if (id != jd) {
 		            allocator.construct(&(new_values[jd]), values[jd]);
 		            allocator.destroy(&(values[jd]));
+		          }
+		        }
 		        if (capacity != 0) allocator.deallocate(values, capacity);
 		        values = new_values;
 		        capacity = new_capacity;
+		      }
 		      allocator.construct(&(values[id]), Value());
+		    }
 		    // \brief Adds more new keys to the map.
 		    //
 		    // It adds more new keys to the map. It is called by the observer notifier
 		    // and it overrides the add() member function of the observer base.
 		    virtual void add(const std::vector<Key>& keys) {
 		      Notifier* nf = Parent::notifier();
 		      int max_id = -1;
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        int id = nf->id(keys[i]);
 		        if (id > max_id) {
 		          max_id = id;
+		        }
+		      }
 		      if (max_id >= capacity) {
 		        int new_capacity = (capacity == 0 ? 1 : capacity);
 		        while (new_capacity <= max_id) {
 		          new_capacity <<= 1;
+		        }
 		        Value* new_values = allocator.allocate(new_capacity);
 		        Item it;
 		        for (nf->first(it); it != INVALID; nf->next(it)) {
 		          int id = nf->id(it);
 		          bool found = false;
 		          for (int i = 0; i < int(keys.size()); ++i) {
 		            int jd = nf->id(keys[i]);
 		            if (id == jd) {
 		              found = true;
 		              break;
+		            }
+		          }
 		          if (found) continue;
 		          allocator.construct(&(new_values[id]), values[id]);
 		          allocator.destroy(&(values[id]));
+		        }
 		        if (capacity != 0) allocator.deallocate(values, capacity);
 		        values = new_values;
 		        capacity = new_capacity;
+		      }
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        int id = nf->id(keys[i]);
 		        allocator.construct(&(values[id]), Value());
+		      }
+		    }
 		    // \brief Erase a key from the map.
 		    //
 		    // Erase a key from the map. It is called by the observer notifier
 		    // and it overrides the erase() member function of the observer base.
 		    virtual void erase(const Key& key) {
 		      int id = Parent::notifier()->id(key);
 		      allocator.destroy(&(values[id]));
+		    }
 		    // \brief Erase more keys from the map.
 		    //
 		    // Erase more keys from the map. It is called by the observer notifier
 		    // and it overrides the erase() member function of the observer base.
 		    virtual void erase(const std::vector<Key>& keys) {
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        int id = Parent::notifier()->id(keys[i]);
 		        allocator.destroy(&(values[id]));
+		      }
+		    }
 		    // \brief Builds the map.
 		    //
 		    // It builds the map. It is called by the observer notifier
 		    // and it overrides the build() member function of the observer base.
 		    virtual void build() {
 		      Notifier* nf = Parent::notifier();
 		      allocate_memory();
 		      Item it;
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        int id = nf->id(it);;
 		        allocator.construct(&(values[id]), Value());
+		      }
+		    }
 		    // \brief Clear the map.
 		    //
 		    // It erase all items from the map. It is called by the observer notifier
 		    // and it overrides the clear() member function of the observer base.
 		    virtual void clear() {
 		      Notifier* nf = Parent::notifier();
 		      if (capacity != 0) {
 		        Item it;
 		        for (nf->first(it); it != INVALID; nf->next(it)) {
 		          int id = nf->id(it);
 		          allocator.destroy(&(values[id]));
+		        }
 		        allocator.deallocate(values, capacity);
 		        capacity = 0;
+		      }
+		    }
 		  private:
 		    void allocate_memory() {
 		      int max_id = Parent::notifier()->maxId();
 		      if (max_id == -1) {
 		        capacity = 0;
 		        values = 0;
 		        return;
+		      }
 		      capacity = 1;
 		      while (capacity <= max_id) {
 		        capacity <<= 1;
+		      }
 		      values = allocator.allocate(capacity);
+		    }
 		    int capacity;
 		    Value* values;
 		    Allocator allocator;
 		  };
+		}
 		#endif

lemon/bits/vector_map.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_BITS_VECTOR_MAP_H
 		#define LEMON_BITS_VECTOR_MAP_H
 		#include <vector>
 		#include <algorithm>
 		#include <lemon/core.h>
 		#include <lemon/bits/alteration_notifier.h>
 		#include <lemon/concept_check.h>
 		#include <lemon/concepts/maps.h>
 		//\ingroup graphbits
 		//
 		//\file
 		//\brief Vector based graph maps.
 		namespace lemon {
 		  // \ingroup graphbits
 		  //
 		  // \brief Graph map based on the std::vector storage.
 		  //
 		  // The VectorMap template class is graph map structure that automatically
 		  // updates the map when a key is added to or erased from the graph.
 		  // This map type uses std::vector to store the values.
 		  //
 		  // \tparam _Graph The graph this map is attached to.
 		  // \tparam _Item The item type of the graph items.
 		  // \tparam _Value The value type of the map.
 		  template <typename _Graph, typename _Item, typename _Value>
 		  class VectorMap
 		    : public ItemSetTraits<_Graph, _Item>::ItemNotifier::ObserverBase {
 		  private:
 		    // The container type of the map.
 		    typedef std::vector<_Value> Container;
 		  public:
 		    // The graph type of the map.
 		    typedef _Graph Graph;
 		    // The item type of the map.
 		    typedef _Item Item;
 		    // The reference map tag.
 		    typedef True ReferenceMapTag;
 		    // The key type of the map.
 		    typedef _Item Key;
 		    // The value type of the map.
 		    typedef _Value Value;
 		    // The notifier type.
 		    typedef typename ItemSetTraits<_Graph, _Item>::ItemNotifier Notifier;
 		    // The map type.
 		    typedef VectorMap Map;
 		    // The base class of the map.
 		    typedef typename Notifier::ObserverBase Parent;
 		    // The reference type of the map;
 		    typedef typename Container::reference Reference;
 		    // The const reference type of the map;
 		    typedef typename Container::const_reference ConstReference;
 		    // \brief Constructor to attach the new map into the notifier.
 		    //
 		    // It constructs a map and attachs it into the notifier.
 		    // It adds all the items of the graph to the map.
 		    VectorMap(const Graph& graph) {
 		      Parent::attach(graph.notifier(Item()));
 		      container.resize(Parent::notifier()->maxId() + 1);
+		    }
 		    // \brief Constructor uses given value to initialize the map.
 		    //
 		    // It constructs a map uses a given value to initialize the map.
 		    // It adds all the items of the graph to the map.
 		    VectorMap(const Graph& graph, const Value& value) {
 		      Parent::attach(graph.notifier(Item()));
 		      container.resize(Parent::notifier()->maxId() + 1, value);
+		    }
 		  private:
 		    // \brief Copy constructor
 		    //
 		    // Copy constructor.
 		    VectorMap(const VectorMap& _copy) : Parent() {
 		      if (_copy.attached()) {
 		        Parent::attach(*_copy.notifier());
 		        container = _copy.container;
+		      }
+		    }
 		    // \brief Assign operator.
 		    //
 		    // This operator assigns for each item in the map the
 		    // value mapped to the same item in the copied map.
 		    // The parameter map should be indiced with the same
 		    // itemset because this assign operator does not change
 		    // the container of the map.
 		    VectorMap& operator=(const VectorMap& cmap) {
 		      return operator=<VectorMap>(cmap);
+		    }
 		    // \brief Template assign operator.
 		    //
-		    // The given parameter should be conform to the ReadMap
 		    // The given parameter should conform to the ReadMap
 		    // concecpt and could be indiced by the current item set of
 		    // the NodeMap. In this case the value for each item
 		    // is assigned by the value of the given ReadMap.
 		    template <typename CMap>
 		    VectorMap& operator=(const CMap& cmap) {
 		      checkConcept<concepts::ReadMap<Key, _Value>, CMap>();
 		      const typename Parent::Notifier* nf = Parent::notifier();
 		      Item it;
 		      for (nf->first(it); it != INVALID; nf->next(it)) {
 		        set(it, cmap[it]);
+		      }
 		      return *this;
+		    }
 		  public:
 		    // \brief The subcript operator.
 		    //
 		    // The subscript operator. The map can be subscripted by the
 		    // actual items of the graph.
 		    Reference operator[](const Key& key) {
 		      return container[Parent::notifier()->id(key)];
+		    }
 		    // \brief The const subcript operator.
 		    //
 		    // The const subscript operator. The map can be subscripted by the
 		    // actual items of the graph.
 		    ConstReference operator[](const Key& key) const {
 		      return container[Parent::notifier()->id(key)];
+		    }
 		    // \brief The setter function of the map.
 		    //
 		    // It the same as operator[](key) = value expression.
 		    void set(const Key& key, const Value& value) {
 		      (*this)[key] = value;
+		    }
 		  protected:
 		    // \brief Adds a new key to the map.
 		    //
 		    // It adds a new key to the map. It is called by the observer notifier
 		    // and it overrides the add() member function of the observer base.
 		    virtual void add(const Key& key) {
 		      int id = Parent::notifier()->id(key);
 		      if (id >= int(container.size())) {
 		        container.resize(id + 1);
+		      }
+		    }
 		    // \brief Adds more new keys to the map.
 		    //
 		    // It adds more new keys to the map. It is called by the observer notifier
 		    // and it overrides the add() member function of the observer base.
 		    virtual void add(const std::vector<Key>& keys) {
 		      int max = container.size() - 1;
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        int id = Parent::notifier()->id(keys[i]);
 		        if (id >= max) {
 		          max = id;
+		        }
+		      }
 		      container.resize(max + 1);
+		    }
 		    // \brief Erase a key from the map.
 		    //
 		    // Erase a key from the map. It is called by the observer notifier
 		    // and it overrides the erase() member function of the observer base.
 		    virtual void erase(const Key& key) {
 		      container[Parent::notifier()->id(key)] = Value();
+		    }
 		    // \brief Erase more keys from the map.
 		    //
 		    // It erases more keys from the map. It is called by the observer notifier
 		    // and it overrides the erase() member function of the observer base.
 		    virtual void erase(const std::vector<Key>& keys) {
 		      for (int i = 0; i < int(keys.size()); ++i) {
 		        container[Parent::notifier()->id(keys[i])] = Value();
+		      }
+		    }
 		    // \brief Build the map.
 		    //
 		    // It builds the map. It is called by the observer notifier
 		    // and it overrides the build() member function of the observer base.
 		    virtual void build() {
 		      int size = Parent::notifier()->maxId() + 1;
 		      container.reserve(size);
 		      container.resize(size);
+		    }
 		    // \brief Clear the map.
 		    //
 		    // It erases all items from the map. It is called by the observer notifier
 		    // and it overrides the clear() member function of the observer base.
 		    virtual void clear() {
 		      container.clear();
+		    }
 		  private:
 		    Container container;
 		  };
+		}
 		#endif

lemon/circulation.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_CIRCULATION_H
 		#define LEMON_CIRCULATION_H
 		#include <lemon/tolerance.h>
 		#include <lemon/elevator.h>
 		///\ingroup max_flow
 		///\file
 		///\brief Push-relabel algorithm for finding a feasible circulation.
 		///
 		namespace lemon {
 		  /// \brief Default traits class of Circulation class.
 		  ///
 		  /// Default traits class of Circulation class.
 		  /// \tparam _Diraph Digraph type.
 		  /// \tparam _LCapMap Lower bound capacity map type.
 		  /// \tparam _UCapMap Upper bound capacity map type.
 		  /// \tparam _DeltaMap Delta map type.
 		  template <typename _Diraph, typename _LCapMap,
 		            typename _UCapMap, typename _DeltaMap>
 		  /// \tparam GR Digraph type.
 		  /// \tparam LM Lower bound capacity map type.
 		  /// \tparam UM Upper bound capacity map type.
 		  /// \tparam DM Delta map type.
 		  template <typename GR, typename LM,
 		            typename UM, typename DM>
 		  struct CirculationDefaultTraits {
 		    /// \brief The type of the digraph the algorithm runs on.
-		    typedef _Diraph Digraph;
+		    typedef GR Digraph;
 		    /// \brief The type of the map that stores the circulation lower
 		    /// bound.
 		    ///
 		    /// The type of the map that stores the circulation lower bound.
 		    /// It must meet the \ref concepts::ReadMap "ReadMap" concept.
-		    typedef _LCapMap LCapMap;
+		    typedef LM LCapMap;
 		    /// \brief The type of the map that stores the circulation upper
 		    /// bound.
 		    ///
 		    /// The type of the map that stores the circulation upper bound.
 		    /// It must meet the \ref concepts::ReadMap "ReadMap" concept.
-		    typedef _UCapMap UCapMap;
+		    typedef UM UCapMap;
 		    /// \brief The type of the map that stores the lower bound for
 		    /// the supply of the nodes.
 		    ///
 		    /// The type of the map that stores the lower bound for the supply
 		    /// of the nodes. It must meet the \ref concepts::ReadMap "ReadMap"
 		    /// concept.
-		    typedef _DeltaMap DeltaMap;
+		    typedef DM DeltaMap;
 		    /// \brief The type of the flow values.
 		    typedef typename DeltaMap::Value Value;
 		    /// \brief The type of the map that stores the flow values.
 		    ///
 		    /// The type of the map that stores the flow values.
 		    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template ArcMap<Value> FlowMap;
 		    /// \brief Instantiates a FlowMap.
 		    ///
 		    /// This function instantiates a \ref FlowMap.
 		    /// \param digraph The digraph, to which we would like to define
 		    /// the flow map.
 		    static FlowMap* createFlowMap(const Digraph& digraph) {
 		      return new FlowMap(digraph);
+		    }
 		    /// \brief The elevator type used by the algorithm.
 		    ///
 		    /// The elevator type used by the algorithm.
 		    ///
 		    /// \sa Elevator
 		    /// \sa LinkedElevator
 		    typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator;
 		    /// \brief Instantiates an Elevator.
 		    ///
 		    /// This function instantiates an \ref Elevator.
 		    /// \param digraph The digraph, to which we would like to define
 		    /// the elevator.
 		    /// \param max_level The maximum level of the elevator.
 		    static Elevator* createElevator(const Digraph& digraph, int max_level) {
 		      return new Elevator(digraph, max_level);
+		    }
 		    /// \brief The tolerance used by the algorithm
 		    ///
 		    /// The tolerance used by the algorithm to handle inexact computation.
 		    typedef lemon::Tolerance<Value> Tolerance;
 		  };
 		  /**
 		     \brief Push-relabel algorithm for the network circulation problem.
 		     \ingroup max_flow
 		     This class implements a push-relabel algorithm for the network
 		     circulation problem.
 		     It is to find a feasible circulation when lower and upper bounds
 		     are given for the flow values on the arcs and lower bounds
 		     are given for the supply values of the nodes.
 		     The exact formulation of this problem is the following.
 		     Let \f$G=(V,A)\f$ be a digraph,
 		     \f$lower, upper: A\rightarrow\mathbf{R}^+_0\f$,
 		     \f$delta: V\rightarrow\mathbf{R}\f$. Find a feasible circulation
 		     \f$f: A\rightarrow\mathbf{R}^+_0\f$ so that
 		     \f[ \sum_{a\in\delta_{out}(v)} f(a) - \sum_{a\in\delta_{in}(v)} f(a)
 		     \geq delta(v) \quad \forall v\in V, \f]
 		     \f[ lower(a)\leq f(a) \leq upper(a) \quad \forall a\in A. \f]
 		     \note \f$delta(v)\f$ specifies a lower bound for the supply of node
 		     \f$v\f$. It can be either positive or negative, however note that
 		     \f$\sum_{v\in V}delta(v)\f$ should be zero or negative in order to
 		     have a feasible solution.
 		     \note A special case of this problem is when
 		     \f$\sum_{v\in V}delta(v) = 0\f$. Then the supply of each node \f$v\f$
 		     will be \e equal \e to \f$delta(v)\f$, if a circulation can be found.
 		     Thus a feasible solution for the
 		     \ref min_cost_flow "minimum cost flow" problem can be calculated
 		     in this way.
 		     \tparam _Digraph The type of the digraph the algorithm runs on.
 		     \tparam _LCapMap The type of the lower bound capacity map. The default
 		     map type is \ref concepts::Digraph::ArcMap "_Digraph::ArcMap<int>".
 		     \tparam _UCapMap The type of the upper bound capacity map. The default
 		     map type is \c _LCapMap.
 		     \tparam _DeltaMap The type of the map that stores the lower bound
 		     \tparam GR The type of the digraph the algorithm runs on.
 		     \tparam LM The type of the lower bound capacity map. The default
 		     map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
 		     \tparam UM The type of the upper bound capacity map. The default
 		     map type is \c LM.
 		     \tparam DM The type of the map that stores the lower bound
 		     for the supply of the nodes. The default map type is
-		     \c _Digraph::ArcMap<_UCapMap::Value>.
+		     \ref concepts::Digraph::NodeMap "GR::NodeMap<UM::Value>".
 		  */
 		#ifdef DOXYGEN
 		template< typename _Digraph,
 		          typename _LCapMap,
 		          typename _UCapMap,
 		          typename _DeltaMap,
-		          typename _Traits >
+		template< typename GR,
 		          typename LM,
 		          typename UM,
 		          typename DM,
 		          typename TR >
 		#else
 		template< typename _Digraph,
 		          typename _LCapMap = typename _Digraph::template ArcMap<int>,
 		          typename _UCapMap = _LCapMap,
 		          typename _DeltaMap = typename _Digraph::
 		                               template NodeMap<typename _UCapMap::Value>,
 		          typename _Traits=CirculationDefaultTraits<_Digraph, _LCapMap,
-		                                                    _UCapMap, _DeltaMap> >
+		template< typename GR,
 		          typename LM = typename GR::template ArcMap<int>,
 		          typename UM = LM,
 		          typename DM = typename GR::template NodeMap<typename UM::Value>,
 		          typename TR = CirculationDefaultTraits<GR, LM, UM, DM> >
 		#endif
 		  class Circulation {
 		  public:
 		    ///The \ref CirculationDefaultTraits "traits class" of the algorithm.
-		    typedef _Traits Traits;
+		    typedef TR Traits;
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename Traits::Digraph Digraph;
 		    ///The type of the flow values.
 		    typedef typename Traits::Value Value;
 		    /// The type of the lower bound capacity map.
 		    typedef typename Traits::LCapMap LCapMap;
 		    /// The type of the upper bound capacity map.
 		    typedef typename Traits::UCapMap UCapMap;
 		    /// \brief The type of the map that stores the lower bound for
 		    /// the supply of the nodes.
 		    typedef typename Traits::DeltaMap DeltaMap;
 		    ///The type of the flow map.
 		    typedef typename Traits::FlowMap FlowMap;
 		    ///The type of the elevator.
 		    typedef typename Traits::Elevator Elevator;
 		    ///The type of the tolerance.
 		    typedef typename Traits::Tolerance Tolerance;
 		  private:
 		    TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
 		    const Digraph &_g;
 		    int _node_num;
 		    const LCapMap *_lo;
 		    const UCapMap *_up;
 		    const DeltaMap *_delta;
 		    FlowMap *_flow;
 		    bool _local_flow;
 		    Elevator* _level;
 		    bool _local_level;
 		    typedef typename Digraph::template NodeMap<Value> ExcessMap;
 		    ExcessMap* _excess;
 		    Tolerance _tol;
 		    int _el;
 		  public:
 		    typedef Circulation Create;
 		    ///\name Named Template Parameters
 		    ///@{
 		    template <typename _FlowMap>
 		    struct SetFlowMapTraits : public Traits {
 		      typedef _FlowMap FlowMap;
 		      static FlowMap *createFlowMap(const Digraph&) {
 		        LEMON_ASSERT(false, "FlowMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// FlowMap type
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting FlowMap
 		    /// type.
 		    template <typename _FlowMap>
 		    struct SetFlowMap
 		      : public Circulation<Digraph, LCapMap, UCapMap, DeltaMap,
 		                           SetFlowMapTraits<_FlowMap> > {
 		      typedef Circulation<Digraph, LCapMap, UCapMap, DeltaMap,
 		                          SetFlowMapTraits<_FlowMap> > Create;
 		    };
 		    template <typename _Elevator>
 		    struct SetElevatorTraits : public Traits {
 		      typedef _Elevator Elevator;
 		      static Elevator *createElevator(const Digraph&, int) {
 		        LEMON_ASSERT(false, "Elevator is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// Elevator type
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting Elevator
 		    /// type. If this named parameter is used, then an external
 		    /// elevator object must be passed to the algorithm using the
 		    /// \ref elevator(Elevator&) "elevator()" function before calling
 		    /// \ref run() or \ref init().
 		    /// \sa SetStandardElevator
 		    template <typename _Elevator>
 		    struct SetElevator
 		      : public Circulation<Digraph, LCapMap, UCapMap, DeltaMap,
 		                           SetElevatorTraits<_Elevator> > {
 		      typedef Circulation<Digraph, LCapMap, UCapMap, DeltaMap,
 		                          SetElevatorTraits<_Elevator> > Create;
 		    };
 		    template <typename _Elevator>
 		    struct SetStandardElevatorTraits : public Traits {
 		      typedef _Elevator Elevator;
 		      static Elevator *createElevator(const Digraph& digraph, int max_level) {
 		        return new Elevator(digraph, max_level);
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// Elevator type with automatic allocation
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting Elevator
 		    /// type with automatic allocation.
 		    /// The Elevator should have standard constructor interface to be
 		    /// able to automatically created by the algorithm (i.e. the
 		    /// digraph and the maximum level should be passed to it).
 		    /// However an external elevator object could also be passed to the
 		    /// algorithm with the \ref elevator(Elevator&) "elevator()" function
 		    /// before calling \ref run() or \ref init().
 		    /// \sa SetElevator
 		    template <typename _Elevator>
 		    struct SetStandardElevator
 		      : public Circulation<Digraph, LCapMap, UCapMap, DeltaMap,
 		                       SetStandardElevatorTraits<_Elevator> > {
 		      typedef Circulation<Digraph, LCapMap, UCapMap, DeltaMap,
 		                      SetStandardElevatorTraits<_Elevator> > Create;
 		    };
 		    /// @}
 		  protected:
 		    Circulation() {}
 		  public:
 		    /// The constructor of the class.
 		    /// The constructor of the class.
 		    /// \param g The digraph the algorithm runs on.
 		    /// \param lo The lower bound capacity of the arcs.
 		    /// \param up The upper bound capacity of the arcs.
 		    /// \param delta The lower bound for the supply of the nodes.
 		    Circulation(const Digraph &g,const LCapMap &lo,
 		                const UCapMap &up,const DeltaMap &delta)
 		      : _g(g), _node_num(),
 		        _lo(&lo),_up(&up),_delta(&delta),_flow(0),_local_flow(false),
 		        _level(0), _local_level(false), _excess(0), _el() {}
 		    /// Destructor.
 		    ~Circulation() {
 		      destroyStructures();
+		    }
 		  private:
 		    void createStructures() {
 		      _node_num = _el = countNodes(_g);
 		      if (!_flow) {
 		        _flow = Traits::createFlowMap(_g);
 		        _local_flow = true;
+		      }
 		      if (!_level) {
 		        _level = Traits::createElevator(_g, _node_num);
 		        _local_level = true;
+		      }
 		      if (!_excess) {
 		        _excess = new ExcessMap(_g);
+		      }
+		    }
 		    void destroyStructures() {
 		      if (_local_flow) {
 		        delete _flow;
+		      }
 		      if (_local_level) {
 		        delete _level;
+		      }
 		      if (_excess) {
 		        delete _excess;
+		      }
+		    }
 		  public:
 		    /// Sets the lower bound capacity map.
 		    /// Sets the lower bound capacity map.
 		    /// \return <tt>(*this)</tt>
 		    Circulation& lowerCapMap(const LCapMap& map) {
 		      _lo = &map;
 		      return *this;
+		    }
 		    /// Sets the upper bound capacity map.
 		    /// Sets the upper bound capacity map.
 		    /// \return <tt>(*this)</tt>
 		    Circulation& upperCapMap(const LCapMap& map) {
 		      _up = &map;
 		      return *this;
+		    }
 		    /// Sets the lower bound map for the supply of the nodes.
 		    /// Sets the lower bound map for the supply of the nodes.
 		    /// \return <tt>(*this)</tt>
 		    Circulation& deltaMap(const DeltaMap& map) {
 		      _delta = &map;
 		      return *this;
+		    }
 		    /// \brief Sets the flow map.
 		    ///
 		    /// Sets the flow map.
 		    /// If you don't use this function before calling \ref run() or
 		    /// \ref init(), an instance will be allocated automatically.
 		    /// The destructor deallocates this automatically allocated map,
 		    /// of course.
 		    /// \return <tt>(*this)</tt>
 		    Circulation& flowMap(FlowMap& map) {
 		      if (_local_flow) {
 		        delete _flow;
 		        _local_flow = false;
+		      }
 		      _flow = &map;
 		      return *this;
+		    }
 		    /// \brief Sets the elevator used by algorithm.
 		    ///
 		    /// Sets the elevator used by algorithm.
 		    /// If you don't use this function before calling \ref run() or
 		    /// \ref init(), an instance will be allocated automatically.
 		    /// The destructor deallocates this automatically allocated elevator,
 		    /// of course.
 		    /// \return <tt>(*this)</tt>
 		    Circulation& elevator(Elevator& elevator) {
 		      if (_local_level) {
 		        delete _level;
 		        _local_level = false;
+		      }
 		      _level = &elevator;
 		      return *this;
+		    }
 		    /// \brief Returns a const reference to the elevator.
 		    ///
 		    /// Returns a const reference to the elevator.
 		    ///
 		    /// \pre Either \ref run() or \ref init() must be called before
 		    /// using this function.
 		    const Elevator& elevator() const {
 		      return *_level;
+		    }
 		    /// \brief Sets the tolerance used by algorithm.
 		    ///
 		    /// Sets the tolerance used by algorithm.
 		    Circulation& tolerance(const Tolerance& tolerance) const {
 		      _tol = tolerance;
 		      return *this;
+		    }
 		    /// \brief Returns a const reference to the tolerance.
 		    ///
 		    /// Returns a const reference to the tolerance.
 		    const Tolerance& tolerance() const {
 		      return tolerance;
+		    }
 		    /// \name Execution Control
 		    /// The simplest way to execute the algorithm is to call \ref run().\n
 		    /// If you need more control on the initial solution or the execution,
 		    /// first you have to call one of the \ref init() functions, then
 		    /// the \ref start() function.
 		    ///@{
 		    /// Initializes the internal data structures.
 		    /// Initializes the internal data structures and sets all flow values
 		    /// to the lower bound.
 		    void init()
+		    {
 		      createStructures();
 		      for(NodeIt n(_g);n!=INVALID;++n) {
 		        _excess->set(n, (*_delta)[n]);
+		      }
 		      for (ArcIt e(_g);e!=INVALID;++e) {
 		        _flow->set(e, (*_lo)[e]);
 		        _excess->set(_g.target(e), (*_excess)[_g.target(e)] + (*_flow)[e]);
 		        _excess->set(_g.source(e), (*_excess)[_g.source(e)] - (*_flow)[e]);
+		      }
 		      // global relabeling tested, but in general case it provides
 		      // worse performance for random digraphs
 		      _level->initStart();
 		      for(NodeIt n(_g);n!=INVALID;++n)
 		        _level->initAddItem(n);
 		      _level->initFinish();
 		      for(NodeIt n(_g);n!=INVALID;++n)
 		        if(_tol.positive((*_excess)[n]))
 		          _level->activate(n);
+		    }
 		    /// Initializes the internal data structures using a greedy approach.
 		    /// Initializes the internal data structures using a greedy approach
 		    /// to construct the initial solution.
 		    void greedyInit()
+		    {
 		      createStructures();
 		      for(NodeIt n(_g);n!=INVALID;++n) {
 		        _excess->set(n, (*_delta)[n]);
+		      }
 		      for (ArcIt e(_g);e!=INVALID;++e) {
 		        if (!_tol.positive((*_excess)[_g.target(e)] + (*_up)[e])) {
 		          _flow->set(e, (*_up)[e]);
 		          _excess->set(_g.target(e), (*_excess)[_g.target(e)] + (*_up)[e]);
 		          _excess->set(_g.source(e), (*_excess)[_g.source(e)] - (*_up)[e]);
 		        } else if (_tol.positive((*_excess)[_g.target(e)] + (*_lo)[e])) {
 		          _flow->set(e, (*_lo)[e]);
 		          _excess->set(_g.target(e), (*_excess)[_g.target(e)] + (*_lo)[e]);
 		          _excess->set(_g.source(e), (*_excess)[_g.source(e)] - (*_lo)[e]);
 		        } else {
 		          Value fc = -(*_excess)[_g.target(e)];
 		          _flow->set(e, fc);
 		          _excess->set(_g.target(e), 0);
 		          _excess->set(_g.source(e), (*_excess)[_g.source(e)] - fc);
+		        }
+		      }
 		      _level->initStart();
 		      for(NodeIt n(_g);n!=INVALID;++n)
 		        _level->initAddItem(n);
 		      _level->initFinish();
 		      for(NodeIt n(_g);n!=INVALID;++n)
 		        if(_tol.positive((*_excess)[n]))
 		          _level->activate(n);
+		    }
 		    ///Executes the algorithm
 		    ///This function executes the algorithm.
 		    ///
 		    ///\return \c true if a feasible circulation is found.
 		    ///
 		    ///\sa barrier()
 		    ///\sa barrierMap()
 		    bool start()
+		    {
 		      Node act;
 		      Node bact=INVALID;
 		      Node last_activated=INVALID;
 		      while((act=_level->highestActive())!=INVALID) {
 		        int actlevel=(*_level)[act];
 		        int mlevel=_node_num;
 		        Value exc=(*_excess)[act];
 		        for(OutArcIt e(_g,act);e!=INVALID; ++e) {
 		          Node v = _g.target(e);
 		          Value fc=(*_up)[e]-(*_flow)[e];
 		          if(!_tol.positive(fc)) continue;
 		          if((*_level)[v]<actlevel) {
 		            if(!_tol.less(fc, exc)) {
 		              _flow->set(e, (*_flow)[e] + exc);
 		              _excess->set(v, (*_excess)[v] + exc);
 		              if(!_level->active(v) && _tol.positive((*_excess)[v]))
 		                _level->activate(v);
 		              _excess->set(act,0);
 		              _level->deactivate(act);
 		              goto next_l;
+		            }
 		            else {
 		              _flow->set(e, (*_up)[e]);
 		              _excess->set(v, (*_excess)[v] + fc);
 		              if(!_level->active(v) && _tol.positive((*_excess)[v]))

lemon/concepts/graph_components.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		///\ingroup graph_concepts
 		///\file
 		///\brief The concept of graph components.
 		#ifndef LEMON_CONCEPT_GRAPH_COMPONENTS_H
 		#define LEMON_CONCEPT_GRAPH_COMPONENTS_H
 		#include <lemon/core.h>
 		#include <lemon/concepts/maps.h>
 		#include <lemon/bits/alteration_notifier.h>
 		namespace lemon {
 		  namespace concepts {
 		    /// \brief Skeleton class for graph Node and Arc types
 		    ///
 		    /// This class describes the interface of Node and Arc (and Edge
 		    /// in undirected graphs) subtypes of graph types.
 		    ///
 		    /// \note This class is a template class so that we can use it to
 		    /// create graph skeleton classes. The reason for this is than Node
 		    /// and Arc types should \em not derive from the same base class.
 		    /// For Node you should instantiate it with character 'n' and for Arc
 		    /// with 'a'.
 		#ifndef DOXYGEN
 		    template <char _selector = '0'>
 		#endif
 		    class GraphItem {
 		    public:
 		      /// \brief Default constructor.
 		      ///
 		      /// \warning The default constructor is not required to set
 		      /// the item to some well-defined value. So you should consider it
 		      /// as uninitialized.
 		      GraphItem() {}
 		      /// \brief Copy constructor.
 		      ///
 		      /// Copy constructor.
 		      ///
 		      GraphItem(const GraphItem &) {}
 		      /// \brief Invalid constructor \& conversion.
 		      ///
 		      /// This constructor initializes the item to be invalid.
 		      /// \sa Invalid for more details.
 		      GraphItem(Invalid) {}
 		      /// \brief Assign operator for nodes.
 		      ///
 		      /// The nodes are assignable.
 		      ///
 		      GraphItem& operator=(GraphItem const&) { return *this; }
 		      /// \brief Equality operator.
 		      ///
 		      /// Two iterators are equal if and only if they represents the
 		      /// same node in the graph or both are invalid.
 		      bool operator==(GraphItem) const { return false; }
 		      /// \brief Inequality operator.
 		      ///
 		      /// \sa operator==(const Node& n)
 		      ///
 		      bool operator!=(GraphItem) const { return false; }
 		      /// \brief Artificial ordering operator.
 		      ///
 		      /// To allow the use of graph descriptors as key type in std::map or
 		      /// similar associative container we require this.
 		      ///
 		      /// \note This operator only have to define some strict ordering of
 		      /// the items; this order has nothing to do with the iteration
 		      /// ordering of the items.
 		      bool operator<(GraphItem) const { return false; }
 		      template<typename _GraphItem>
 		      struct Constraints {
 		        void constraints() {
 		          _GraphItem i1;
 		          _GraphItem i2 = i1;
 		          _GraphItem i3 = INVALID;
 		          i1 = i2 = i3;
 		          bool b;
 		          //          b = (ia == ib) && (ia != ib) && (ia < ib);
 		          b = (ia == ib) && (ia != ib);
 		          b = (ia == INVALID) && (ib != INVALID);
 		          b = (ia < ib);
+		        }
 		        const _GraphItem &ia;
 		        const _GraphItem &ib;
 		      };
 		    };
 		    /// \brief An empty base directed graph class.
 		    ///
 		    /// This class provides the minimal set of features needed for a
-		    /// directed graph structure. All digraph concepts have to be
 		    /// directed graph structure. All digraph concepts have to
 		    /// conform to this base directed graph. It just provides types
 		    /// for nodes and arcs and functions to get the source and the
 		    /// target of the arcs.
 		    class BaseDigraphComponent {
 		    public:
 		      typedef BaseDigraphComponent Digraph;
 		      /// \brief Node class of the digraph.
 		      ///
 		      /// This class represents the Nodes of the digraph.
 		      ///
 		      typedef GraphItem<'n'> Node;
 		      /// \brief Arc class of the digraph.
 		      ///
 		      /// This class represents the Arcs of the digraph.
 		      ///
 		      typedef GraphItem<'e'> Arc;
 		      /// \brief Gives back the target node of an arc.
 		      ///
 		      /// Gives back the target node of an arc.
 		      ///
 		      Node target(const Arc&) const { return INVALID;}
 		      /// \brief Gives back the source node of an arc.
 		      ///
 		      /// Gives back the source node of an arc.
 		      ///
 		      Node source(const Arc&) const { return INVALID;}
 		      /// \brief Gives back the opposite node on the given arc.
 		      ///
 		      /// Gives back the opposite node on the given arc.
 		      Node oppositeNode(const Node&, const Arc&) const {
 		        return INVALID;
+		      }
 		      template <typename _Digraph>
 		      struct Constraints {
 		        typedef typename _Digraph::Node Node;
 		        typedef typename _Digraph::Arc Arc;
 		        void constraints() {
 		          checkConcept<GraphItem<'n'>, Node>();
 		          checkConcept<GraphItem<'a'>, Arc>();
+		          {
 		            Node n;
 		            Arc e(INVALID);
 		            n = digraph.source(e);
 		            n = digraph.target(e);
 		            n = digraph.oppositeNode(n, e);
+		          }
+		        }
 		        const _Digraph& digraph;
 		      };
 		    };
 		    /// \brief An empty base undirected graph class.
 		    ///
 		    /// This class provides the minimal set of features needed for an
 		    /// undirected graph structure. All undirected graph concepts have
-		    /// to be conform to this base graph. It just provides types for
 		    /// to conform to this base graph. It just provides types for
 		    /// nodes, arcs and edges and functions to get the
 		    /// source and the target of the arcs and edges,
 		    /// conversion from arcs to edges and function to get
 		    /// both direction of the edges.
 		    class BaseGraphComponent : public BaseDigraphComponent {
 		    public:
 		      typedef BaseDigraphComponent::Node Node;
 		      typedef BaseDigraphComponent::Arc Arc;
 		      /// \brief Undirected arc class of the graph.
 		      ///
 		      /// This class represents the edges of the graph.
 		      /// The undirected graphs can be used as a directed graph which
 		      /// for each arc contains the opposite arc too so the graph is
 		      /// bidirected. The edge represents two opposite
 		      /// directed arcs.
 		      class Edge : public GraphItem<'u'> {
 		      public:
 		        typedef GraphItem<'u'> Parent;
 		        /// \brief Default constructor.
 		        ///
 		        /// \warning The default constructor is not required to set
 		        /// the item to some well-defined value. So you should consider it
 		        /// as uninitialized.
 		        Edge() {}
 		        /// \brief Copy constructor.
 		        ///
 		        /// Copy constructor.
 		        ///
 		        Edge(const Edge &) : Parent() {}
 		        /// \brief Invalid constructor \& conversion.
 		        ///
 		        /// This constructor initializes the item to be invalid.
 		        /// \sa Invalid for more details.
 		        Edge(Invalid) {}
 		        /// \brief Converter from arc to edge.
 		        ///
 		        /// Besides the core graph item functionality each arc should
 		        /// be convertible to the represented edge.
 		        Edge(const Arc&) {}
 		        /// \brief Assign arc to edge.
 		        ///
 		        /// Besides the core graph item functionality each arc should
 		        /// be convertible to the represented edge.
 		        Edge& operator=(const Arc&) { return *this; }
 		      };
 		      /// \brief Returns the direction of the arc.
 		      ///
 		      /// Returns the direction of the arc. Each arc represents an
 		      /// edge with a direction. It gives back the
 		      /// direction.
 		      bool direction(const Arc&) const { return true; }
 		      /// \brief Returns the directed arc.
 		      ///
 		      /// Returns the directed arc from its direction and the
 		      /// represented edge.
 		      Arc direct(const Edge&, bool) const { return INVALID;}
 		      /// \brief Returns the directed arc.
 		      ///
 		      /// Returns the directed arc from its source and the
 		      /// represented edge.
 		      Arc direct(const Edge&, const Node&) const { return INVALID;}
 		      /// \brief Returns the opposite arc.
 		      ///
 		      /// Returns the opposite arc. It is the arc representing the
 		      /// same edge and has opposite direction.
 		      Arc oppositeArc(const Arc&) const { return INVALID;}
 		      /// \brief Gives back one ending of an edge.
 		      ///
 		      /// Gives back one ending of an edge.
 		      Node u(const Edge&) const { return INVALID;}
 		      /// \brief Gives back the other ending of an edge.
 		      ///
 		      /// Gives back the other ending of an edge.
 		      Node v(const Edge&) const { return INVALID;}
 		      template <typename _Graph>
 		      struct Constraints {
 		        typedef typename _Graph::Node Node;
 		        typedef typename _Graph::Arc Arc;
 		        typedef typename _Graph::Edge Edge;
 		        void constraints() {
 		          checkConcept<BaseDigraphComponent, _Graph>();
 		          checkConcept<GraphItem<'u'>, Edge>();
+		          {
 		            Node n;
 		            Edge ue(INVALID);
 		            Arc e;
 		            n = graph.u(ue);
 		            n = graph.v(ue);
 		            e = graph.direct(ue, true);
 		            e = graph.direct(ue, n);
 		            e = graph.oppositeArc(e);
 		            ue = e;
 		            bool d = graph.direction(e);
 		            ignore_unused_variable_warning(d);
+		          }
+		        }
 		        const _Graph& graph;
 		      };
 		    };
 		    /// \brief An empty idable base digraph class.
 		    ///
 		    /// This class provides beside the core digraph features
 		    /// core id functions for the digraph structure.
-		    /// The most of the base digraphs should be conform to this concept.
 		    /// The most of the base digraphs should conform to this concept.
 		    /// The id's are unique and immutable.
 		    template <typename _Base = BaseDigraphComponent>
 		    class IDableDigraphComponent : public _Base {
 		    public:
 		      typedef _Base Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Arc Arc;
 		      /// \brief Gives back an unique integer id for the Node.
 		      ///
 		      /// Gives back an unique integer id for the Node.
 		      ///
 		      int id(const Node&) const { return -1;}
 		      /// \brief Gives back the node by the unique id.
 		      ///
 		      /// Gives back the node by the unique id.
 		      /// If the digraph does not contain node with the given id
 		      /// then the result of the function is undetermined.
 		      Node nodeFromId(int) const { return INVALID;}
 		      /// \brief Gives back an unique integer id for the Arc.
 		      ///
 		      /// Gives back an unique integer id for the Arc.
 		      ///
 		      int id(const Arc&) const { return -1;}
 		      /// \brief Gives back the arc by the unique id.
 		      ///
 		      /// Gives back the arc by the unique id.
 		      /// If the digraph does not contain arc with the given id
 		      /// then the result of the function is undetermined.
 		      Arc arcFromId(int) const { return INVALID;}
 		      /// \brief Gives back an integer greater or equal to the maximum
 		      /// Node id.
 		      ///
 		      /// Gives back an integer greater or equal to the maximum Node
 		      /// id.
 		      int maxNodeId() const { return -1;}
 		      /// \brief Gives back an integer greater or equal to the maximum
 		      /// Arc id.
 		      ///
 		      /// Gives back an integer greater or equal to the maximum Arc
 		      /// id.
 		      int maxArcId() const { return -1;}
 		      template <typename _Digraph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Digraph >();
 		          typename _Digraph::Node node;
 		          int nid = digraph.id(node);
 		          nid = digraph.id(node);
 		          node = digraph.nodeFromId(nid);
 		          typename _Digraph::Arc arc;
 		          int eid = digraph.id(arc);
 		          eid = digraph.id(arc);
 		          arc = digraph.arcFromId(eid);
 		          nid = digraph.maxNodeId();
 		          ignore_unused_variable_warning(nid);
 		          eid = digraph.maxArcId();
 		          ignore_unused_variable_warning(eid);
+		        }
 		        const _Digraph& digraph;
 		      };
 		    };
 		    /// \brief An empty idable base undirected graph class.
 		    ///
 		    /// This class provides beside the core undirected graph features
 		    /// core id functions for the undirected graph structure.  The
-		    /// most of the base undirected graphs should be conform to this
 		    /// most of the base undirected graphs should conform to this
 		    /// concept.  The id's are unique and immutable.
 		    template <typename _Base = BaseGraphComponent>
 		    class IDableGraphComponent : public IDableDigraphComponent<_Base> {
 		    public:
 		      typedef _Base Base;
 		      typedef typename Base::Edge Edge;
 		      using IDableDigraphComponent<_Base>::id;
 		      /// \brief Gives back an unique integer id for the Edge.
 		      ///
 		      /// Gives back an unique integer id for the Edge.
 		      ///
 		      int id(const Edge&) const { return -1;}
 		      /// \brief Gives back the edge by the unique id.
 		      ///
 		      /// Gives back the edge by the unique id.  If the
 		      /// graph does not contain arc with the given id then the
 		      /// result of the function is undetermined.
 		      Edge edgeFromId(int) const { return INVALID;}
 		      /// \brief Gives back an integer greater or equal to the maximum
 		      /// Edge id.
 		      ///
 		      /// Gives back an integer greater or equal to the maximum Edge
 		      /// id.
 		      int maxEdgeId() const { return -1;}
 		      template <typename _Graph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Graph >();
 		          checkConcept<IDableDigraphComponent<Base>, _Graph >();
 		          typename _Graph::Edge edge;
 		          int ueid = graph.id(edge);
 		          ueid = graph.id(edge);
 		          edge = graph.edgeFromId(ueid);
 		          ueid = graph.maxEdgeId();
 		          ignore_unused_variable_warning(ueid);
+		        }
 		        const _Graph& graph;
 		      };
 		    };
 		    /// \brief Skeleton class for graph NodeIt and ArcIt
 		    ///
 		    /// Skeleton class for graph NodeIt and ArcIt.
 		    ///
 		    template <typename _Graph, typename _Item>
 		    class GraphItemIt : public _Item {
 		    public:
 		      /// \brief Default constructor.
 		      ///
 		      /// @warning The default constructor sets the iterator
 		      /// to an undefined value.
 		      GraphItemIt() {}
 		      /// \brief Copy constructor.
 		      ///
 		      /// Copy constructor.
 		      ///
 		      GraphItemIt(const GraphItemIt& ) {}
 		      /// \brief Sets the iterator to the first item.
 		      ///
 		      /// Sets the iterator to the first item of \c the graph.
 		      ///
 		      explicit GraphItemIt(const _Graph&) {}
 		      /// \brief Invalid constructor \& conversion.
 		      ///
 		      /// This constructor initializes the item to be invalid.
 		      /// \sa Invalid for more details.
 		      GraphItemIt(Invalid) {}
 		      /// \brief Assign operator for items.
 		      ///
 		      /// The items are assignable.
 		      ///
 		      GraphItemIt& operator=(const GraphItemIt&) { return *this; }
 		      /// \brief Next item.
 		      ///
 		      /// Assign the iterator to the next item.
 		      ///
 		      GraphItemIt& operator++() { return *this; }
 		      /// \brief Equality operator
 		      ///
 		      /// Two iterators are equal if and only if they point to the
 		      /// same object or both are invalid.
 		      bool operator==(const GraphItemIt&) const { return true;}
 		      /// \brief Inequality operator
 		      ///
 		      /// \sa operator==(Node n)
 		      ///
 		      bool operator!=(const GraphItemIt&) const { return true;}
 		      template<typename _GraphItemIt>
 		      struct Constraints {
 		        void constraints() {
 		          _GraphItemIt it1(g);
 		          _GraphItemIt it2;
 		          it2 = ++it1;
 		          ++it2 = it1;
 		          ++(++it1);
 		          _Item bi = it1;
 		          bi = it2;
+		        }
 		        _Graph& g;
 		      };
 		    };
 		    /// \brief Skeleton class for graph InArcIt and OutArcIt
 		    ///
 		    /// \note Because InArcIt and OutArcIt may not inherit from the same
 		    /// base class, the _selector is a additional template parameter. For
 		    /// InArcIt you should instantiate it with character 'i' and for
 		    /// OutArcIt with 'o'.
 		    template <typename _Graph,
 		              typename _Item = typename _Graph::Arc,
 		              typename _Base = typename _Graph::Node,
 		              char _selector = '0'>
 		    class GraphIncIt : public _Item {
 		    public:
 		      /// \brief Default constructor.
 		      ///
 		      /// @warning The default constructor sets the iterator
 		      /// to an undefined value.
 		      GraphIncIt() {}
 		      /// \brief Copy constructor.
 		      ///
 		      /// Copy constructor.
 		      ///
 		      GraphIncIt(GraphIncIt const& gi) : _Item(gi) {}
 		      /// \brief Sets the iterator to the first arc incoming into or outgoing
 		      /// from the node.
 		      ///
 		      /// Sets the iterator to the first arc incoming into or outgoing
 		      /// from the node.
 		      ///
 		      explicit GraphIncIt(const _Graph&, const _Base&) {}
 		      /// \brief Invalid constructor \& conversion.
 		      ///
 		      /// This constructor initializes the item to be invalid.
 		      /// \sa Invalid for more details.
 		      GraphIncIt(Invalid) {}
 		      /// \brief Assign operator for iterators.
 		      ///
 		      /// The iterators are assignable.
 		      ///
 		      GraphIncIt& operator=(GraphIncIt const&) { return *this; }
 		      /// \brief Next item.
 		      ///
 		      /// Assign the iterator to the next item.
 		      ///
 		      GraphIncIt& operator++() { return *this; }
 		      /// \brief Equality operator
 		      ///
 		      /// Two iterators are equal if and only if they point to the
 		      /// same object or both are invalid.
 		      bool operator==(const GraphIncIt&) const { return true;}
 		      /// \brief Inequality operator
 		      ///
 		      /// \sa operator==(Node n)
 		      ///
 		      bool operator!=(const GraphIncIt&) const { return true;}
 		      template <typename _GraphIncIt>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<GraphItem<_selector>, _GraphIncIt>();
 		          _GraphIncIt it1(graph, node);
 		          _GraphIncIt it2;
 		          it2 = ++it1;
 		          ++it2 = it1;
 		          ++(++it1);
 		          _Item e = it1;
 		          e = it2;
+		        }
 		        _Item arc;
 		        _Base node;
 		        _Graph graph;
 		        _GraphIncIt it;
 		      };
 		    };
 		    /// \brief An empty iterable digraph class.
 		    ///
 		    /// This class provides beside the core digraph features
 		    /// iterator based iterable interface for the digraph structure.
 		    /// This concept is part of the Digraph concept.
 		    template <typename _Base = BaseDigraphComponent>
 		    class IterableDigraphComponent : public _Base {
 		    public:
 		      typedef _Base Base;
 		      typedef typename Base::Node Node;
 		      typedef typename Base::Arc Arc;
 		      typedef IterableDigraphComponent Digraph;
 		      /// \name Base iteration
 		      ///
 		      /// This interface provides functions for iteration on digraph items
 		      ///
 		      /// @{
 		      /// \brief Gives back the first node in the iterating order.
 		      ///
 		      /// Gives back the first node in the iterating order.
 		      ///
 		      void first(Node&) const {}
 		      /// \brief Gives back the next node in the iterating order.
 		      ///
 		      /// Gives back the next node in the iterating order.
 		      ///
 		      void next(Node&) const {}
 		      /// \brief Gives back the first arc in the iterating order.
 		      ///
 		      /// Gives back the first arc in the iterating order.
 		      ///
 		      void first(Arc&) const {}
 		      /// \brief Gives back the next arc in the iterating order.
 		      ///
 		      /// Gives back the next arc in the iterating order.
 		      ///
 		      void next(Arc&) const {}
 		      /// \brief Gives back the first of the arcs point to the given
 		      /// node.
 		      ///
 		      /// Gives back the first of the arcs point to the given node.
 		      ///
 		      void firstIn(Arc&, const Node&) const {}
 		      /// \brief Gives back the next of the arcs points to the given
 		      /// node.
 		      ///
 		      /// Gives back the next of the arcs points to the given node.
 		      ///
 		      void nextIn(Arc&) const {}
 		      /// \brief Gives back the first of the arcs start from the
 		      /// given node.
 		      ///
 		      /// Gives back the first of the arcs start from the given node.
 		      ///
 		      void firstOut(Arc&, const Node&) const {}
 		      /// \brief Gives back the next of the arcs start from the given
 		      /// node.
 		      ///
 		      /// Gives back the next of the arcs start from the given node.
 		      ///
 		      void nextOut(Arc&) const {}
 		      /// @}
 		      /// \name Class based iteration
 		      ///
 		      /// This interface provides functions for iteration on digraph items
 		      ///
 		      /// @{
 		      /// \brief This iterator goes through each node.
 		      ///
 		      /// This iterator goes through each node.
 		      ///
 		      typedef GraphItemIt<Digraph, Node> NodeIt;
 		      /// \brief This iterator goes through each node.
 		      ///
 		      /// This iterator goes through each node.
 		      ///
 		      typedef GraphItemIt<Digraph, Arc> ArcIt;
 		      /// \brief This iterator goes trough the incoming arcs of a node.
 		      ///
 		      /// This iterator goes trough the \e inccoming arcs of a certain node
 		      /// of a digraph.
 		      typedef GraphIncIt<Digraph, Arc, Node, 'i'> InArcIt;
 		      /// \brief This iterator goes trough the outgoing arcs of a node.
 		      ///
 		      /// This iterator goes trough the \e outgoing arcs of a certain node
 		      /// of a digraph.
 		      typedef GraphIncIt<Digraph, Arc, Node, 'o'> OutArcIt;
 		      /// \brief The base node of the iterator.
 		      ///
 		      /// Gives back the base node of the iterator.
 		      /// It is always the target of the pointed arc.
 		      Node baseNode(const InArcIt&) const { return INVALID; }
 		      /// \brief The running node of the iterator.
 		      ///
 		      /// Gives back the running node of the iterator.
 		      /// It is always the source of the pointed arc.
 		      Node runningNode(const InArcIt&) const { return INVALID; }
 		      /// \brief The base node of the iterator.
 		      ///
 		      /// Gives back the base node of the iterator.
 		      /// It is always the source of the pointed arc.
 		      Node baseNode(const OutArcIt&) const { return INVALID; }
 		      /// \brief The running node of the iterator.
 		      ///
 		      /// Gives back the running node of the iterator.
 		      /// It is always the target of the pointed arc.
 		      Node runningNode(const OutArcIt&) const { return INVALID; }
 		      /// @}
 		      template <typename _Digraph>
 		      struct Constraints {
 		        void constraints() {
 		          checkConcept<Base, _Digraph>();
+		          {
 		            typename _Digraph::Node node(INVALID);
 		            typename _Digraph::Arc arc(INVALID);
+		            {
 		              digraph.first(node);
 		              digraph.next(node);
+		            }
+		            {
 		              digraph.first(arc);
 		              digraph.next(arc);
+		            }
+		            {
 		              digraph.firstIn(arc, node);
 		              digraph.nextIn(arc);
+		            }
+		            {
 		              digraph.firstOut(arc, node);
 		              digraph.nextOut(arc);
+		            }
+		          }
+		          {
 		            checkConcept<GraphItemIt<_Digraph, typename _Digraph::Arc>,
 		              typename _Digraph::ArcIt >();
 		            checkConcept<GraphItemIt<_Digraph, typename _Digraph::Node>,
 		              typename _Digraph::NodeIt >();
 		            checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc,
 		              typename _Digraph::Node, 'i'>, typename _Digraph::InArcIt>();
 		            checkConcept<GraphIncIt<_Digraph, typename _Digraph::Arc,
 		              typename _Digraph::Node, 'o'>, typename _Digraph::OutArcIt>();
 		            typename _Digraph::Node n;
 		            typename _Digraph::InArcIt ieit(INVALID);
 		            typename _Digraph::OutArcIt oeit(INVALID);
 		            n = digraph.baseNode(ieit);
 		            n = digraph.runningNode(ieit);
 		            n = digraph.baseNode(oeit);
 		            n = digraph.runningNode(oeit);
 		            ignore_unused_variable_warning(n);
+		          }
+		        }
 		        const _Digraph& digraph;
 		      };
 		    };
 		    /// \brief An empty iterable undirected graph class.
 		    ///
 		    /// This class provides beside the core graph features iterator
 		    /// based iterable interface for the undirected graph structure.
 		    /// This concept is part of the Graph concept.
 		    template <typename _Base = BaseGraphComponent>

lemon/dfs.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_DFS_H
 		#define LEMON_DFS_H
 		///\ingroup search
 		///\file
 		///\brief DFS algorithm.
 		#include <lemon/list_graph.h>
 		#include <lemon/bits/path_dump.h>
 		#include <lemon/core.h>
 		#include <lemon/error.h>
 		#include <lemon/maps.h>
 		#include <lemon/path.h>
 		namespace lemon {
 		  ///Default traits class of Dfs class.
 		  ///Default traits class of Dfs class.
 		  ///\tparam GR Digraph type.
 		  template<class GR>
 		  struct DfsDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a PredMap.
+		    ///Instantiates a \c PredMap.
 		    ///This function instantiates a PredMap.
+		    ///This function instantiates a \ref PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///PredMap.
+		    ///\ref PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
+		    ///Instantiates a \c ProcessedMap.
 		    ///This function instantiates a ProcessedMap.
+		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ProcessedMap
+		    ///we would like to define the \ref ProcessedMap.
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that indicates which nodes are reached.
 		    ///The type of the map that indicates which nodes are reached.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a ReachedMap.
+		    ///Instantiates a \c ReachedMap.
 		    ///This function instantiates a ReachedMap.
+		    ///This function instantiates a \ref ReachedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ReachedMap.
+		    ///we would like to define the \ref ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
 		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<int> DistMap;
 		    ///Instantiates a DistMap.
+		    ///Instantiates a \c DistMap.
 		    ///This function instantiates a DistMap.
+		    ///This function instantiates a \ref DistMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///DistMap.
+		    ///\ref DistMap.
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		  };
 		  ///%DFS algorithm class.
 		  ///\ingroup search
 		  ///This class provides an efficient implementation of the %DFS algorithm.
 		  ///
 		  ///There is also a \ref dfs() "function-type interface" for the DFS
 		  ///algorithm, which is convenient in the simplier cases and it can be
 		  ///used easier.
 		  ///
 		  ///\tparam GR The type of the digraph the algorithm runs on.
 		  ///The default type is \ref ListDigraph.
 		#ifdef DOXYGEN
 		  template <typename GR,
 		            typename TR>
 		#else
 		  template <typename GR=ListDigraph,
 		            typename TR=DfsDefaultTraits<GR> >
 		#endif
 		  class Dfs {
 		  public:
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    ///\brief The type of the map that stores the predecessor arcs of the
 		    ///DFS paths.
 		    typedef typename TR::PredMap PredMap;
 		    ///The type of the map that stores the distances of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///The type of the map that indicates which nodes are reached.
 		    typedef typename TR::ReachedMap ReachedMap;
 		    ///The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the paths.
 		    typedef PredMapPath<Digraph, PredMap> Path;
 		    ///The \ref DfsDefaultTraits "traits class" of the algorithm.
 		    typedef TR Traits;
 		  private:
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    //Pointer to the underlying digraph.
 		    const Digraph *G;
 		    //Pointer to the map of predecessor arcs.
 		    PredMap *_pred;
 		    //Indicates if _pred is locally allocated (true) or not.
 		    bool local_pred;
 		    //Pointer to the map of distances.
 		    DistMap *_dist;
 		    //Indicates if _dist is locally allocated (true) or not.
 		    bool local_dist;
 		    //Pointer to the map of reached status of the nodes.
 		    ReachedMap *_reached;
 		    //Indicates if _reached is locally allocated (true) or not.
 		    bool local_reached;
 		    //Pointer to the map of processed status of the nodes.
 		    ProcessedMap *_processed;
 		    //Indicates if _processed is locally allocated (true) or not.
 		    bool local_processed;
 		    std::vector<typename Digraph::OutArcIt> _stack;
 		    int _stack_head;
 		    //Creates the maps if necessary.
 		    void create_maps()
+		    {
 		      if(!_pred) {
 		        local_pred = true;
 		        _pred = Traits::createPredMap(*G);
+		      }
 		      if(!_dist) {
 		        local_dist = true;
 		        _dist = Traits::createDistMap(*G);
+		      }
 		      if(!_reached) {
 		        local_reached = true;
 		        _reached = Traits::createReachedMap(*G);
+		      }
 		      if(!_processed) {
 		        local_processed = true;
 		        _processed = Traits::createProcessedMap(*G);
+		      }
+		    }
 		  protected:
 		    Dfs() {}
 		  public:
 		    typedef Dfs Create;
 		    ///\name Named template parameters
 		    ///@{
 		    template <class T>
 		    struct SetPredMapTraits : public Traits {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "PredMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///PredMap type.
+		    ///\c PredMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///PredMap type.
+		    ///\c PredMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetPredMap : public Dfs<Digraph, SetPredMapTraits<T> > {
 		      typedef Dfs<Digraph, SetPredMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetDistMapTraits : public Traits {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "DistMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///DistMap type.
+		    ///\c DistMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///DistMap type.
+		    ///\c DistMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetDistMap : public Dfs< Digraph, SetDistMapTraits<T> > {
 		      typedef Dfs<Digraph, SetDistMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetReachedMapTraits : public Traits {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "ReachedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ReachedMap type.
+		    ///\c ReachedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///ReachedMap type.
+		    ///\c ReachedMap type.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    template <class T>
 		    struct SetReachedMap : public Dfs< Digraph, SetReachedMapTraits<T> > {
 		      typedef Dfs< Digraph, SetReachedMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetProcessedMapTraits : public Traits {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "ProcessedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type.
+		    ///\c ProcessedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type.
+		    ///\c ProcessedMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetProcessedMap : public Dfs< Digraph, SetProcessedMapTraits<T> > {
 		      typedef Dfs< Digraph, SetProcessedMapTraits<T> > Create;
 		    };
 		    struct SetStandardProcessedMapTraits : public Traits {
 		      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &g)
+		      {
 		        return new ProcessedMap(g);
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
+		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
+		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///If you don't set it explicitly, it will be automatically allocated.
 		    struct SetStandardProcessedMap :
 		      public Dfs< Digraph, SetStandardProcessedMapTraits > {
 		      typedef Dfs< Digraph, SetStandardProcessedMapTraits > Create;
 		    };
 		    ///@}
 		  public:
 		    ///Constructor.
 		    ///Constructor.
 		    ///\param g The digraph the algorithm runs on.
 		    Dfs(const Digraph &g) :
 		      G(&g),
 		      _pred(NULL), local_pred(false),
 		      _dist(NULL), local_dist(false),
 		      _reached(NULL), local_reached(false),
 		      _processed(NULL), local_processed(false)
 		    { }
 		    ///Destructor.
 		    ~Dfs()
+		    {
 		      if(local_pred) delete _pred;
 		      if(local_dist) delete _dist;
 		      if(local_reached) delete _reached;
 		      if(local_processed) delete _processed;
+		    }
 		    ///Sets the map that stores the predecessor arcs.
 		    ///Sets the map that stores the predecessor arcs.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dfs &predMap(PredMap &m)
+		    {
 		      if(local_pred) {
 		        delete _pred;
 		        local_pred=false;
+		      }
 		      _pred = &m;
 		      return *this;
+		    }
 		    ///Sets the map that indicates which nodes are reached.
 		    ///Sets the map that indicates which nodes are reached.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dfs &reachedMap(ReachedMap &m)
+		    {
 		      if(local_reached) {
 		        delete _reached;
 		        local_reached=false;
+		      }
 		      _reached = &m;
 		      return *this;
+		    }
 		    ///Sets the map that indicates which nodes are processed.
 		    ///Sets the map that indicates which nodes are processed.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dfs &processedMap(ProcessedMap &m)
+		    {
 		      if(local_processed) {
 		        delete _processed;
 		        local_processed=false;
+		      }
 		      _processed = &m;
 		      return *this;
+		    }
 		    ///Sets the map that stores the distances of the nodes.
 		    ///Sets the map that stores the distances of the nodes calculated by
 		    ///the algorithm.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dfs &distMap(DistMap &m)
+		    {
 		      if(local_dist) {
 		        delete _dist;
 		        local_dist=false;
+		      }
 		      _dist = &m;
 		      return *this;
+		    }
 		  public:
 		    ///\name Execution Control
 		    ///The simplest way to execute the DFS algorithm is to use one of the
 		    ///member functions called \ref run(Node) "run()".\n
 		    ///If you need more control on the execution, first you have to call
 		    ///\ref init(), then you can add a source node with \ref addSource()
 		    ///and perform the actual computation with \ref start().
 		    ///This procedure can be repeated if there are nodes that have not
 		    ///been reached.
 		    ///@{
 		    ///\brief Initializes the internal data structures.
 		    ///
 		    ///Initializes the internal data structures.
 		    void init()
+		    {
 		      create_maps();
 		      _stack.resize(countNodes(*G));
 		      _stack_head=-1;
 		      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
 		        _pred->set(u,INVALID);
 		        _reached->set(u,false);
 		        _processed->set(u,false);
+		      }
+		    }
 		    ///Adds a new source node.
 		    ///Adds a new source node to the set of nodes to be processed.
 		    ///
 		    ///\pre The stack must be empty. Otherwise the algorithm gives
 		    ///wrong results. (One of the outgoing arcs of all the source nodes
 		    ///except for the last one will not be visited and distances will
 		    ///also be wrong.)
 		    void addSource(Node s)
+		    {
 		      LEMON_DEBUG(emptyQueue(), "The stack is not empty.");
 		      if(!(*_reached)[s])
+		        {
 		          _reached->set(s,true);
 		          _pred->set(s,INVALID);
 		          OutArcIt e(*G,s);
 		          if(e!=INVALID) {
 		            _stack[++_stack_head]=e;
 		            _dist->set(s,_stack_head);
+		          }
 		          else {
 		            _processed->set(s,true);
 		            _dist->set(s,0);
+		          }
+		        }
+		    }
 		    ///Processes the next arc.
 		    ///Processes the next arc.
 		    ///
 		    ///\return The processed arc.
 		    ///
 		    ///\pre The stack must not be empty.
 		    Arc processNextArc()
+		    {
 		      Node m;
 		      Arc e=_stack[_stack_head];
 		      if(!(*_reached)[m=G->target(e)]) {
 		        _pred->set(m,e);
 		        _reached->set(m,true);
 		        ++_stack_head;
 		        _stack[_stack_head] = OutArcIt(*G, m);
 		        _dist->set(m,_stack_head);
+		      }
 		      else {
 		        m=G->source(e);
 		        ++_stack[_stack_head];
+		      }
 		      while(_stack_head>=0 && _stack[_stack_head]==INVALID) {
 		        _processed->set(m,true);
 		        --_stack_head;
 		        if(_stack_head>=0) {
 		          m=G->source(_stack[_stack_head]);
 		          ++_stack[_stack_head];
+		        }
+		      }
 		      return e;
+		    }
 		    ///Next arc to be processed.
 		    ///Next arc to be processed.
 		    ///
 		    ///\return The next arc to be processed or \c INVALID if the stack
 		    ///is empty.
 		    OutArcIt nextArc() const
+		    {
 		      return _stack_head>=0?_stack[_stack_head]:INVALID;
+		    }
 		    ///Returns \c false if there are nodes to be processed.
 		    ///Returns \c false if there are nodes to be processed
 		    ///in the queue (stack).
 		    bool emptyQueue() const { return _stack_head<0; }
 		    ///Returns the number of the nodes to be processed.
 		    ///Returns the number of the nodes to be processed
 		    ///in the queue (stack).
 		    int queueSize() const { return _stack_head+1; }
 		    ///Executes the algorithm.
 		    ///Executes the algorithm.
 		    ///
 		    ///This method runs the %DFS algorithm from the root node
 		    ///in order to compute the DFS path to each node.
 		    ///
 		    /// The algorithm computes
 		    ///- the %DFS tree,
 		    ///- the distance of each node from the root in the %DFS tree.
 		    ///
 		    ///\pre init() must be called and a root node should be
 		    ///added with addSource() before using this function.
 		    ///
 		    ///\note <tt>d.start()</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  while ( !d.emptyQueue() ) {
 		    ///    d.processNextArc();
 		    ///  }
 		    ///\endcode
 		    void start()
+		    {
 		      while ( !emptyQueue() ) processNextArc();
+		    }
 		    ///Executes the algorithm until the given target node is reached.
 		    ///Executes the algorithm until the given target node is reached.
 		    ///
 		    ///This method runs the %DFS algorithm from the root node
 		    ///in order to compute the DFS path to \c t.
 		    ///
 		    ///The algorithm computes
 		    ///- the %DFS path to \c t,
 		    ///- the distance of \c t from the root in the %DFS tree.
 		    ///
 		    ///\pre init() must be called and a root node should be
 		    ///added with addSource() before using this function.
 		    void start(Node t)
+		    {
 		      while ( !emptyQueue() && G->target(_stack[_stack_head])!=t )
 		        processNextArc();
+		    }
 		    ///Executes the algorithm until a condition is met.
 		    ///Executes the algorithm until a condition is met.
 		    ///
 		    ///This method runs the %DFS algorithm from the root node
 		    ///until an arc \c a with <tt>am[a]</tt> true is found.
 		    ///
 		    ///\param am A \c bool (or convertible) arc map. The algorithm
 		    ///will stop when it reaches an arc \c a with <tt>am[a]</tt> true.
 		    ///
 		    ///\return The reached arc \c a with <tt>am[a]</tt> true or
 		    ///\c INVALID if no such arc was found.
 		    ///
 		    ///\pre init() must be called and a root node should be
 		    ///added with addSource() before using this function.
 		    ///
 		    ///\warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map,
 		    ///not a node map.
 		    template<class ArcBoolMap>
 		    Arc start(const ArcBoolMap &am)
+		    {
 		      while ( !emptyQueue() && !am[_stack[_stack_head]] )
 		        processNextArc();
 		      return emptyQueue() ? INVALID : _stack[_stack_head];
+		    }
 		    ///Runs the algorithm from the given source node.
 		    ///This method runs the %DFS algorithm from node \c s
 		    ///in order to compute the DFS path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the %DFS tree,
 		    ///- the distance of each node from the root in the %DFS tree.
 		    ///
 		    ///\note <tt>d.run(s)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  d.addSource(s);
 		    ///  d.start();
 		    ///\endcode
 		    void run(Node s) {
 		      init();
 		      addSource(s);
 		      start();
+		    }
 		    ///Finds the %DFS path between \c s and \c t.
 		    ///This method runs the %DFS algorithm from node \c s
 		    ///in order to compute the DFS path to node \c t
 		    ///(it stops searching when \c t is processed)
 		    ///
 		    ///\return \c true if \c t is reachable form \c s.
 		    ///
 		    ///\note Apart from the return value, <tt>d.run(s,t)</tt> is
 		    ///just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  d.addSource(s);
 		    ///  d.start(t);
 		    ///\endcode
 		    bool run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return reached(t);
+		    }
 		    ///Runs the algorithm to visit all nodes in the digraph.
 		    ///This method runs the %DFS algorithm in order to compute the
 		    ///%DFS path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the %DFS tree (forest),
 		    ///- the distance of each node from the root(s) in the %DFS tree.
 		    ///
 		    ///\note <tt>d.run()</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  for (NodeIt n(digraph); n != INVALID; ++n) {
 		    ///    if (!d.reached(n)) {
 		    ///      d.addSource(n);
 		    ///      d.start();
 		    ///    }
 		    ///  }
 		    ///\endcode
 		    void run() {
 		      init();
 		      for (NodeIt it(*G); it != INVALID; ++it) {
 		        if (!reached(it)) {
 		          addSource(it);
 		          start();
+		        }
+		      }
+		    }
 		    ///@}
 		    ///\name Query Functions
 		    ///The results of the DFS algorithm can be obtained using these
 		    ///functions.\n
 		    ///Either \ref run(Node) "run()" or \ref start() should be called
 		    ///before using them.
 		    ///@{
 		    ///The DFS path to a node.
 		    ///Returns the DFS path to a node.
 		    ///
 		    ///\warning \c t should be reached from the root(s).
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Path path(Node t) const { return Path(*G, *_pred, t); }
 		    ///The distance of a node from the root(s).
 		    ///Returns the distance of a node from the root(s).
 		    ///
 		    ///\warning If node \c v is not reached from the root(s), then
 		    ///the return value of this function is undefined.
 		    ///
@@ -745,893 +745,893 @@
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    bool reached(Node v) const { return (*_reached)[v]; }
 		    ///@}
 		  };
 		  ///Default traits class of dfs() function.
 		  ///Default traits class of dfs() function.
 		  ///\tparam GR Digraph type.
 		  template<class GR>
 		  struct DfsWizardDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a PredMap.
 		    ///This function instantiates a PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///By default it is a NullMap.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
 		    ///This function instantiates a ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ProcessedMap.
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that indicates which nodes are reached.
 		    ///The type of the map that indicates which nodes are reached.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a ReachedMap.
 		    ///This function instantiates a ReachedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
 		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<int> DistMap;
 		    ///Instantiates a DistMap.
 		    ///This function instantiates a DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the DistMap
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		    ///The type of the DFS paths.
 		    ///The type of the DFS paths.
 		    ///It must meet the \ref concepts::Path "Path" concept.
 		    typedef lemon::Path<Digraph> Path;
 		  };
 		  /// Default traits class used by DfsWizard
 		  /// To make it easier to use Dfs algorithm
 		  /// we have created a wizard class.
 		  /// This \ref DfsWizard class needs default traits,
 		  /// as well as the \ref Dfs class.
 		  /// The \ref DfsWizardBase is a class to be the default traits of the
 		  /// \ref DfsWizard class.
 		  template<class GR>
 		  class DfsWizardBase : public DfsWizardDefaultTraits<GR>
+		  {
 		    typedef DfsWizardDefaultTraits<GR> Base;
 		  protected:
 		    //The type of the nodes in the digraph.
 		    typedef typename Base::Digraph::Node Node;
 		    //Pointer to the digraph the algorithm runs on.
 		    void *_g;
 		    //Pointer to the map of reached nodes.
 		    void *_reached;
 		    //Pointer to the map of processed nodes.
 		    void *_processed;
 		    //Pointer to the map of predecessors arcs.
 		    void *_pred;
 		    //Pointer to the map of distances.
 		    void *_dist;
 		    //Pointer to the DFS path to the target node.
 		    void *_path;
 		    //Pointer to the distance of the target node.
 		    int *_di;
 		    public:
 		    /// Constructor.
 		    /// This constructor does not require parameters, therefore it initiates
 		    /// all of the attributes to \c 0.
 		    DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
 		                      _dist(0), _path(0), _di(0) {}
 		    /// Constructor.
 		    /// This constructor requires one parameter,
 		    /// others are initiated to \c 0.
 		    /// \param g The digraph the algorithm runs on.
 		    DfsWizardBase(const GR &g) :
 		      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
 		      _reached(0), _processed(0), _pred(0), _dist(0),  _path(0), _di(0) {}
 		  };
 		  /// Auxiliary class for the function-type interface of DFS algorithm.
 		  /// This auxiliary class is created to implement the
 		  /// \ref dfs() "function-type interface" of \ref Dfs algorithm.
 		  /// It does not have own \ref run(Node) "run()" method, it uses the
 		  /// functions and features of the plain \ref Dfs.
 		  ///
 		  /// This class should only be used through the \ref dfs() function,
 		  /// which makes it easier to use the algorithm.
 		  template<class TR>
 		  class DfsWizard : public TR
+		  {
 		    typedef TR Base;
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the DFS paths.
 		    typedef typename TR::PredMap PredMap;
 		    ///\brief The type of the map that stores the distances of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///\brief The type of the map that indicates which nodes are reached.
 		    typedef typename TR::ReachedMap ReachedMap;
 		    ///\brief The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the DFS paths
 		    typedef typename TR::Path Path;
 		  public:
 		    /// Constructor.
 		    DfsWizard() : TR() {}
 		    /// Constructor that requires parameters.
 		    /// Constructor that requires parameters.
 		    /// These parameters will be the default values for the traits class.
 		    /// \param g The digraph the algorithm runs on.
 		    DfsWizard(const Digraph &g) :
 		      TR(g) {}
 		    ///Copy constructor
 		    DfsWizard(const TR &b) : TR(b) {}
 		    ~DfsWizard() {}
 		    ///Runs DFS algorithm from the given source node.
 		    ///This method runs DFS algorithm from node \c s
 		    ///in order to compute the DFS path to each node.
 		    void run(Node s)
+		    {
 		      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
 		      if (Base::_pred)
 		        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
 		      if (Base::_dist)
 		        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
 		      if (Base::_reached)
 		        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
 		      if (Base::_processed)
 		        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
 		      if (s!=INVALID)
 		        alg.run(s);
 		      else
 		        alg.run();
+		    }
 		    ///Finds the DFS path between \c s and \c t.
 		    ///This method runs DFS algorithm from node \c s
 		    ///in order to compute the DFS path to node \c t
 		    ///(it stops searching when \c t is processed).
 		    ///
 		    ///\return \c true if \c t is reachable form \c s.
 		    bool run(Node s, Node t)
+		    {
 		      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
 		      if (Base::_pred)
 		        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
 		      if (Base::_dist)
 		        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
 		      if (Base::_reached)
 		        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
 		      if (Base::_processed)
 		        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
 		      alg.run(s,t);
 		      if (Base::_path)
 		        *reinterpret_cast<Path*>(Base::_path) = alg.path(t);
 		      if (Base::_di)
 		        *Base::_di = alg.dist(t);
 		      return alg.reached(t);
+		      }
 		    ///Runs DFS algorithm to visit all nodes in the digraph.
 		    ///This method runs DFS algorithm in order to compute
 		    ///the DFS path to each node.
 		    void run()
+		    {
 		      run(INVALID);
+		    }
 		    template<class T>
 		    struct SetPredMapBase : public Base {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &) { return 0; };
 		      SetPredMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for setting PredMap object.
 		    ///
 		    ///\ref named-func-param "Named parameter"
 		    ///for setting PredMap object.
 		    template<class T>
 		    DfsWizard<SetPredMapBase<T> > predMap(const T &t)
+		    {
 		      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DfsWizard<SetPredMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct SetReachedMapBase : public Base {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
 		      SetReachedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for setting ReachedMap object.
 		    ///
 		    /// \ref named-func-param "Named parameter"
 		    ///for setting ReachedMap object.
 		    template<class T>
 		    DfsWizard<SetReachedMapBase<T> > reachedMap(const T &t)
+		    {
 		      Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DfsWizard<SetReachedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct SetDistMapBase : public Base {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &) { return 0; };
 		      SetDistMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for setting DistMap object.
 		    ///
 		    /// \ref named-func-param "Named parameter"
 		    ///for setting DistMap object.
 		    template<class T>
 		    DfsWizard<SetDistMapBase<T> > distMap(const T &t)
+		    {
 		      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DfsWizard<SetDistMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct SetProcessedMapBase : public Base {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
 		      SetProcessedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for setting ProcessedMap object.
 		    ///
 		    /// \ref named-func-param "Named parameter"
 		    ///for setting ProcessedMap object.
 		    template<class T>
 		    DfsWizard<SetProcessedMapBase<T> > processedMap(const T &t)
+		    {
 		      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DfsWizard<SetProcessedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct SetPathBase : public Base {
 		      typedef T Path;
 		      SetPathBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for getting the DFS path to the target node.
 		    ///
 		    ///\ref named-func-param "Named parameter"
 		    ///for getting the DFS path to the target node.
 		    template<class T>
 		    DfsWizard<SetPathBase<T> > path(const T &t)
+		    {
 		      Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DfsWizard<SetPathBase<T> >(*this);
+		    }
 		    ///\brief \ref named-func-param "Named parameter"
 		    ///for getting the distance of the target node.
 		    ///
 		    ///\ref named-func-param "Named parameter"
 		    ///for getting the distance of the target node.
 		    DfsWizard dist(const int &d)
+		    {
 		      Base::_di=const_cast<int*>(&d);
 		      return *this;
+		    }
 		  };
 		  ///Function-type interface for DFS algorithm.
 		  ///\ingroup search
 		  ///Function-type interface for DFS algorithm.
 		  ///
 		  ///This function also has several \ref named-func-param "named parameters",
 		  ///they are declared as the members of class \ref DfsWizard.
 		  ///The following examples show how to use these parameters.
 		  ///\code
 		  ///  // Compute the DFS tree
 		  ///  dfs(g).predMap(preds).distMap(dists).run(s);
 		  ///
 		  ///  // Compute the DFS path from s to t
 		  ///  bool reached = dfs(g).path(p).dist(d).run(s,t);
 		  ///\endcode
 		  ///\warning Don't forget to put the \ref DfsWizard::run(Node) "run()"
 		  ///to the end of the parameter list.
 		  ///\sa DfsWizard
 		  ///\sa Dfs
 		  template<class GR>
 		  DfsWizard<DfsWizardBase<GR> >
 		  dfs(const GR &digraph)
+		  {
 		    return DfsWizard<DfsWizardBase<GR> >(digraph);
+		  }
 		#ifdef DOXYGEN
 		  /// \brief Visitor class for DFS.
 		  ///
 		  /// This class defines the interface of the DfsVisit events, and
 		  /// it could be the base of a real visitor class.
-		  template <typename _Digraph>
+		  template <typename GR>
 		  struct DfsVisitor {
-		    typedef _Digraph Digraph;
+		    typedef GR Digraph;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::Node Node;
 		    /// \brief Called for the source node of the DFS.
 		    ///
 		    /// This function is called for the source node of the DFS.
 		    void start(const Node& node) {}
 		    /// \brief Called when the source node is leaved.
 		    ///
 		    /// This function is called when the source node is leaved.
 		    void stop(const Node& node) {}
 		    /// \brief Called when a node is reached first time.
 		    ///
 		    /// This function is called when a node is reached first time.
 		    void reach(const Node& node) {}
 		    /// \brief Called when an arc reaches a new node.
 		    ///
 		    /// This function is called when the DFS finds an arc whose target node
 		    /// is not reached yet.
 		    void discover(const Arc& arc) {}
 		    /// \brief Called when an arc is examined but its target node is
 		    /// already discovered.
 		    ///
 		    /// This function is called when an arc is examined but its target node is
 		    /// already discovered.
 		    void examine(const Arc& arc) {}
 		    /// \brief Called when the DFS steps back from a node.
 		    ///
 		    /// This function is called when the DFS steps back from a node.
 		    void leave(const Node& node) {}
 		    /// \brief Called when the DFS steps back on an arc.
 		    ///
 		    /// This function is called when the DFS steps back on an arc.
 		    void backtrack(const Arc& arc) {}
 		  };
 		#else
-		  template <typename _Digraph>
+		  template <typename GR>
 		  struct DfsVisitor {
-		    typedef _Digraph Digraph;
+		    typedef GR Digraph;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::Node Node;
 		    void start(const Node&) {}
 		    void stop(const Node&) {}
 		    void reach(const Node&) {}
 		    void discover(const Arc&) {}
 		    void examine(const Arc&) {}
 		    void leave(const Node&) {}
 		    void backtrack(const Arc&) {}
 		    template <typename _Visitor>
 		    struct Constraints {
 		      void constraints() {
 		        Arc arc;
 		        Node node;
 		        visitor.start(node);
 		        visitor.stop(arc);
 		        visitor.reach(node);
 		        visitor.discover(arc);
 		        visitor.examine(arc);
 		        visitor.leave(node);
 		        visitor.backtrack(arc);
+		      }
 		      _Visitor& visitor;
 		    };
 		  };
 		#endif
 		  /// \brief Default traits class of DfsVisit class.
 		  ///
 		  /// Default traits class of DfsVisit class.
 		  /// \tparam _Digraph The type of the digraph the algorithm runs on.
-		  template<class _Digraph>
+		  template<class GR>
 		  struct DfsVisitDefaultTraits {
 		    /// \brief The type of the digraph the algorithm runs on.
-		    typedef _Digraph Digraph;
+		    typedef GR Digraph;
 		    /// \brief The type of the map that indicates which nodes are reached.
 		    ///
 		    /// The type of the map that indicates which nodes are reached.
 		    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    /// \brief Instantiates a ReachedMap.
 		    ///
 		    /// This function instantiates a ReachedMap.
 		    /// \param digraph is the digraph, to which
 		    /// we would like to define the ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &digraph) {
 		      return new ReachedMap(digraph);
+		    }
 		  };
 		  /// \ingroup search
 		  ///
-		  /// \brief %DFS algorithm class with visitor interface.
 		  /// \brief DFS algorithm class with visitor interface.
 		  ///
-		  /// This class provides an efficient implementation of the %DFS algorithm
 		  /// This class provides an efficient implementation of the DFS algorithm
 		  /// with visitor interface.
 		  ///
-		  /// The %DfsVisit class provides an alternative interface to the Dfs
 		  /// The DfsVisit class provides an alternative interface to the Dfs
 		  /// class. It works with callback mechanism, the DfsVisit object calls
 		  /// the member functions of the \c Visitor class on every DFS event.
 		  ///
 		  /// This interface of the DFS algorithm should be used in special cases
 		  /// when extra actions have to be performed in connection with certain
 		  /// events of the DFS algorithm. Otherwise consider to use Dfs or dfs()
 		  /// instead.
 		  ///
 		  /// \tparam _Digraph The type of the digraph the algorithm runs on.
 		  /// The default value is
 		  /// \ref ListDigraph. The value of _Digraph is not used directly by
 		  /// \ref DfsVisit, it is only passed to \ref DfsVisitDefaultTraits.
 		  /// \tparam _Visitor The Visitor type that is used by the algorithm.
 		  /// \ref DfsVisitor "DfsVisitor<_Digraph>" is an empty visitor, which
 		  /// \tparam GR The type of the digraph the algorithm runs on.
 		  /// The default type is \ref ListDigraph.
 		  /// The value of GR is not used directly by \ref DfsVisit,
 		  /// it is only passed to \ref DfsVisitDefaultTraits.
 		  /// \tparam VS The Visitor type that is used by the algorithm.
 		  /// \ref DfsVisitor "DfsVisitor<GR>" is an empty visitor, which
 		  /// does not observe the DFS events. If you want to observe the DFS
 		  /// events, you should implement your own visitor class.
-		  /// \tparam _Traits Traits class to set various data types used by the
+		  /// \tparam TR Traits class to set various data types used by the
 		  /// algorithm. The default traits class is
-		  /// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits<_Digraph>".
+		  /// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits<GR>".
 		  /// See \ref DfsVisitDefaultTraits for the documentation of
 		  /// a DFS visit traits class.
 		#ifdef DOXYGEN
-		  template <typename _Digraph, typename _Visitor, typename _Traits>
+		  template <typename GR, typename VS, typename TR>
 		#else
 		  template <typename _Digraph = ListDigraph,
 		            typename _Visitor = DfsVisitor<_Digraph>,
-		            typename _Traits = DfsVisitDefaultTraits<_Digraph> >
+		  template <typename GR = ListDigraph,
 		            typename VS = DfsVisitor<GR>,
 		            typename TR = DfsVisitDefaultTraits<GR> >
 		#endif
 		  class DfsVisit {
 		  public:
 		    ///The traits class.
-		    typedef _Traits Traits;
+		    typedef TR Traits;
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename Traits::Digraph Digraph;
 		    ///The visitor type used by the algorithm.
-		    typedef _Visitor Visitor;
+		    typedef VS Visitor;
 		    ///The type of the map that indicates which nodes are reached.
 		    typedef typename Traits::ReachedMap ReachedMap;
 		  private:
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    //Pointer to the underlying digraph.
 		    const Digraph *_digraph;
 		    //Pointer to the visitor object.
 		    Visitor *_visitor;
 		    //Pointer to the map of reached status of the nodes.
 		    ReachedMap *_reached;
 		    //Indicates if _reached is locally allocated (true) or not.
 		    bool local_reached;
 		    std::vector<typename Digraph::Arc> _stack;
 		    int _stack_head;
 		    //Creates the maps if necessary.
 		    void create_maps() {
 		      if(!_reached) {
 		        local_reached = true;
 		        _reached = Traits::createReachedMap(*_digraph);
+		      }
+		    }
 		  protected:
 		    DfsVisit() {}
 		  public:
 		    typedef DfsVisit Create;
 		    /// \name Named Template Parameters
 		    ///@{
 		    template <class T>
 		    struct SetReachedMapTraits : public Traits {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &digraph) {
 		        LEMON_ASSERT(false, "ReachedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// ReachedMap type.
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting ReachedMap type.
 		    template <class T>
 		    struct SetReachedMap : public DfsVisit< Digraph, Visitor,
 		                                            SetReachedMapTraits<T> > {
 		      typedef DfsVisit< Digraph, Visitor, SetReachedMapTraits<T> > Create;
 		    };
 		    ///@}
 		  public:
 		    /// \brief Constructor.
 		    ///
 		    /// Constructor.
 		    ///
 		    /// \param digraph The digraph the algorithm runs on.
 		    /// \param visitor The visitor object of the algorithm.
 		    DfsVisit(const Digraph& digraph, Visitor& visitor)
 		      : _digraph(&digraph), _visitor(&visitor),
 		        _reached(0), local_reached(false) {}
 		    /// \brief Destructor.
 		    ~DfsVisit() {
 		      if(local_reached) delete _reached;
+		    }
 		    /// \brief Sets the map that indicates which nodes are reached.
 		    ///
 		    /// Sets the map that indicates which nodes are reached.
 		    /// If you don't use this function before calling \ref run(Node) "run()"
 		    /// or \ref init(), an instance will be allocated automatically.
 		    /// The destructor deallocates this automatically allocated map,
 		    /// of course.
 		    /// \return <tt> (*this) </tt>
 		    DfsVisit &reachedMap(ReachedMap &m) {
 		      if(local_reached) {
 		        delete _reached;
 		        local_reached=false;
+		      }
 		      _reached = &m;
 		      return *this;
+		    }
 		  public:
 		    /// \name Execution Control
 		    /// The simplest way to execute the DFS algorithm is to use one of the
 		    /// member functions called \ref run(Node) "run()".\n
 		    /// If you need more control on the execution, first you have to call
 		    /// \ref init(), then you can add a source node with \ref addSource()
 		    /// and perform the actual computation with \ref start().
 		    /// This procedure can be repeated if there are nodes that have not
 		    /// been reached.
 		    /// @{
 		    /// \brief Initializes the internal data structures.
 		    ///
 		    /// Initializes the internal data structures.
 		    void init() {
 		      create_maps();
 		      _stack.resize(countNodes(*_digraph));
 		      _stack_head = -1;
 		      for (NodeIt u(*_digraph) ; u != INVALID ; ++u) {
 		        _reached->set(u, false);
+		      }
+		    }
 		    /// \brief Adds a new source node.
 		    ///
 		    /// Adds a new source node to the set of nodes to be processed.
 		    ///
 		    /// \pre The stack must be empty. Otherwise the algorithm gives
 		    /// wrong results. (One of the outgoing arcs of all the source nodes
 		    /// except for the last one will not be visited and distances will
 		    /// also be wrong.)
 		    void addSource(Node s)
+		    {
 		      LEMON_DEBUG(emptyQueue(), "The stack is not empty.");
 		      if(!(*_reached)[s]) {
 		          _reached->set(s,true);
 		          _visitor->start(s);
 		          _visitor->reach(s);
 		          Arc e;
 		          _digraph->firstOut(e, s);
 		          if (e != INVALID) {
 		            _stack[++_stack_head] = e;
 		          } else {
 		            _visitor->leave(s);
 		            _visitor->stop(s);
+		          }
+		        }
+		    }
 		    /// \brief Processes the next arc.
 		    ///
 		    /// Processes the next arc.
 		    ///
 		    /// \return The processed arc.
 		    ///
 		    /// \pre The stack must not be empty.
 		    Arc processNextArc() {
 		      Arc e = _stack[_stack_head];
 		      Node m = _digraph->target(e);
 		      if(!(*_reached)[m]) {
 		        _visitor->discover(e);
 		        _visitor->reach(m);
 		        _reached->set(m, true);
 		        _digraph->firstOut(_stack[++_stack_head], m);
 		      } else {
 		        _visitor->examine(e);
 		        m = _digraph->source(e);
 		        _digraph->nextOut(_stack[_stack_head]);
+		      }
 		      while (_stack_head>=0 && _stack[_stack_head] == INVALID) {
 		        _visitor->leave(m);
 		        --_stack_head;
 		        if (_stack_head >= 0) {
 		          _visitor->backtrack(_stack[_stack_head]);
 		          m = _digraph->source(_stack[_stack_head]);
 		          _digraph->nextOut(_stack[_stack_head]);
 		        } else {
 		          _visitor->stop(m);
+		        }
+		      }
 		      return e;
+		    }
 		    /// \brief Next arc to be processed.
 		    ///
 		    /// Next arc to be processed.
 		    ///
 		    /// \return The next arc to be processed or INVALID if the stack is
 		    /// empty.
 		    Arc nextArc() const {
 		      return _stack_head >= 0 ? _stack[_stack_head] : INVALID;
+		    }
 		    /// \brief Returns \c false if there are nodes
 		    /// to be processed.
 		    ///
 		    /// Returns \c false if there are nodes
 		    /// to be processed in the queue (stack).
 		    bool emptyQueue() const { return _stack_head < 0; }
 		    /// \brief Returns the number of the nodes to be processed.
 		    ///
 		    /// Returns the number of the nodes to be processed in the queue (stack).
 		    int queueSize() const { return _stack_head + 1; }
 		    /// \brief Executes the algorithm.
 		    ///
 		    /// Executes the algorithm.
 		    ///
 		    /// This method runs the %DFS algorithm from the root node
 		    /// in order to compute the %DFS path to each node.
 		    ///
 		    /// The algorithm computes
 		    /// - the %DFS tree,
 		    /// - the distance of each node from the root in the %DFS tree.
 		    ///
 		    /// \pre init() must be called and a root node should be
 		    /// added with addSource() before using this function.
 		    ///
 		    /// \note <tt>d.start()</tt> is just a shortcut of the following code.
 		    /// \code
 		    ///   while ( !d.emptyQueue() ) {
 		    ///     d.processNextArc();
 		    ///   }
 		    /// \endcode
 		    void start() {
 		      while ( !emptyQueue() ) processNextArc();
+		    }
 		    /// \brief Executes the algorithm until the given target node is reached.
 		    ///
 		    /// Executes the algorithm until the given target node is reached.
 		    ///
 		    /// This method runs the %DFS algorithm from the root node
 		    /// in order to compute the DFS path to \c t.
 		    ///
 		    /// The algorithm computes
 		    /// - the %DFS path to \c t,
 		    /// - the distance of \c t from the root in the %DFS tree.
 		    ///
 		    /// \pre init() must be called and a root node should be added
 		    /// with addSource() before using this function.
 		    void start(Node t) {
 		      while ( !emptyQueue() && _digraph->target(_stack[_stack_head]) != t )
 		        processNextArc();
+		    }
 		    /// \brief Executes the algorithm until a condition is met.
 		    ///
 		    /// Executes the algorithm until a condition is met.
 		    ///
 		    /// This method runs the %DFS algorithm from the root node
 		    /// until an arc \c a with <tt>am[a]</tt> true is found.
 		    ///
 		    /// \param am A \c bool (or convertible) arc map. The algorithm
 		    /// will stop when it reaches an arc \c a with <tt>am[a]</tt> true.
 		    ///
 		    /// \return The reached arc \c a with <tt>am[a]</tt> true or
 		    /// \c INVALID if no such arc was found.
 		    ///
 		    /// \pre init() must be called and a root node should be added
 		    /// with addSource() before using this function.
 		    ///
 		    /// \warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map,
 		    /// not a node map.
 		    template <typename AM>
 		    Arc start(const AM &am) {
 		      while ( !emptyQueue() && !am[_stack[_stack_head]] )
 		        processNextArc();
 		      return emptyQueue() ? INVALID : _stack[_stack_head];
+		    }
 		    /// \brief Runs the algorithm from the given source node.
 		    ///
 		    /// This method runs the %DFS algorithm from node \c s.
 		    /// in order to compute the DFS path to each node.
 		    ///
 		    /// The algorithm computes
 		    /// - the %DFS tree,
 		    /// - the distance of each node from the root in the %DFS tree.
 		    ///
 		    /// \note <tt>d.run(s)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///   d.init();
 		    ///   d.addSource(s);
 		    ///   d.start();
 		    ///\endcode
 		    void run(Node s) {
 		      init();
 		      addSource(s);
 		      start();
+		    }
 		    /// \brief Finds the %DFS path between \c s and \c t.
 		    /// This method runs the %DFS algorithm from node \c s
 		    /// in order to compute the DFS path to node \c t
 		    /// (it stops searching when \c t is processed).
 		    ///
 		    /// \return \c true if \c t is reachable form \c s.
 		    ///
 		    /// \note Apart from the return value, <tt>d.run(s,t)</tt> is
 		    /// just a shortcut of the following code.
 		    ///\code
 		    ///   d.init();
 		    ///   d.addSource(s);
 		    ///   d.start(t);
 		    ///\endcode
 		    bool run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return reached(t);
+		    }
 		    /// \brief Runs the algorithm to visit all nodes in the digraph.
 		    /// This method runs the %DFS algorithm in order to
 		    /// compute the %DFS path to each node.
 		    ///
 		    /// The algorithm computes
 		    /// - the %DFS tree (forest),
 		    /// - the distance of each node from the root(s) in the %DFS tree.
 		    ///
 		    /// \note <tt>d.run()</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///   d.init();
 		    ///   for (NodeIt n(digraph); n != INVALID; ++n) {
 		    ///     if (!d.reached(n)) {
 		    ///       d.addSource(n);
 		    ///       d.start();
 		    ///     }
 		    ///   }
 		    ///\endcode
 		    void run() {
 		      init();
 		      for (NodeIt it(*_digraph); it != INVALID; ++it) {
 		        if (!reached(it)) {
 		          addSource(it);
 		          start();
+		        }
+		      }
+		    }
 		    ///@}
 		    /// \name Query Functions
 		    /// The results of the DFS algorithm can be obtained using these
 		    /// functions.\n
 		    /// Either \ref run(Node) "run()" or \ref start() should be called
 		    /// before using them.
 		    ///@{
 		    /// \brief Checks if a node is reached from the root(s).
 		    ///
 		    /// Returns \c true if \c v is reached from the root(s).
 		    ///
 		    /// \pre Either \ref run(Node) "run()" or \ref init()
 		    /// must be called before using this function.
 		    bool reached(Node v) const { return (*_reached)[v]; }
 		    ///@}
 		  };
 		} //END OF NAMESPACE LEMON
 		#endif

lemon/dijkstra.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_DIJKSTRA_H
 		#define LEMON_DIJKSTRA_H
 		///\ingroup shortest_path
 		///\file
 		///\brief Dijkstra algorithm.
 		#include <limits>
 		#include <lemon/list_graph.h>
 		#include <lemon/bin_heap.h>
 		#include <lemon/bits/path_dump.h>
 		#include <lemon/core.h>
 		#include <lemon/error.h>
 		#include <lemon/maps.h>
 		#include <lemon/path.h>
 		namespace lemon {
 		  /// \brief Default operation traits for the Dijkstra algorithm class.
 		  ///
 		  /// This operation traits class defines all computational operations and
 		  /// constants which are used in the Dijkstra algorithm.
 		  template <typename Value>
 		  struct DijkstraDefaultOperationTraits {
 		    /// \brief Gives back the zero value of the type.
 		    static Value zero() {
 		      return static_cast<Value>(0);
+		    }
 		    /// \brief Gives back the sum of the given two elements.
 		    static Value plus(const Value& left, const Value& right) {
 		      return left + right;
+		    }
 		    /// \brief Gives back true only if the first value is less than the second.
 		    static bool less(const Value& left, const Value& right) {
 		      return left < right;
+		    }
 		  };
 		  ///Default traits class of Dijkstra class.
 		  ///Default traits class of Dijkstra class.
 		  ///\tparam GR The type of the digraph.
 		  ///\tparam LM The type of the length map.
 		  template<class GR, class LM>
 		  struct DijkstraDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///The type of the map that stores the arc lengths.
 		    ///The type of the map that stores the arc lengths.
 		    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
 		    typedef LM LengthMap;
 		    ///The type of the length of the arcs.
 		    typedef typename LM::Value Value;
 		    /// Operation traits for Dijkstra algorithm.
+		    /// Operation traits for %Dijkstra algorithm.
 		    /// This class defines the operations that are used in the algorithm.
 		    /// \see DijkstraDefaultOperationTraits
 		    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
 		    /// The cross reference type used by the heap.
 		    /// The cross reference type used by the heap.
 		    /// Usually it is \c Digraph::NodeMap<int>.
 		    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
-		    ///Instantiates a \ref HeapCrossRef.
+		    ///Instantiates a \c HeapCrossRef.
 		    ///This function instantiates a \ref HeapCrossRef.
 		    /// \param g is the digraph, to which we would like to define the
 		    /// \ref HeapCrossRef.
 		    static HeapCrossRef *createHeapCrossRef(const Digraph &g)
+		    {
 		      return new HeapCrossRef(g);
+		    }
 		    ///The heap type used by the Dijkstra algorithm.
+		    ///The heap type used by the %Dijkstra algorithm.
 		    ///The heap type used by the Dijkstra algorithm.
 		    ///
 		    ///\sa BinHeap
 		    ///\sa Dijkstra
 		    typedef BinHeap<typename LM::Value, HeapCrossRef, std::less<Value> > Heap;
-		    ///Instantiates a \ref Heap.
+		    ///Instantiates a \c Heap.
 		    ///This function instantiates a \ref Heap.
 		    static Heap *createHeap(HeapCrossRef& r)
+		    {
 		      return new Heap(r);
+		    }
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a PredMap.
+		    ///Instantiates a \c PredMap.
 		    ///This function instantiates a PredMap.
+		    ///This function instantiates a \ref PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///PredMap.
+		    ///\ref PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///By default it is a NullMap.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
+		    ///Instantiates a \c ProcessedMap.
 		    ///This function instantiates a ProcessedMap.
+		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ProcessedMap
+		    ///we would like to define the \ref ProcessedMap.
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename LM::Value> DistMap;
 		    ///Instantiates a DistMap.
+		    ///Instantiates a \c DistMap.
 		    ///This function instantiates a DistMap.
+		    ///This function instantiates a \ref DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the DistMap
+		    ///the \ref DistMap.
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		  };
 		  ///%Dijkstra algorithm class.
 		  /// \ingroup shortest_path
 		  ///This class provides an efficient implementation of the %Dijkstra algorithm.
 		  ///
 		  ///The arc lengths are passed to the algorithm using a
 		  ///\ref concepts::ReadMap "ReadMap",
 		  ///so it is easy to change it to any kind of length.
 		  ///The type of the length is determined by the
 		  ///\ref concepts::ReadMap::Value "Value" of the length map.
 		  ///It is also possible to change the underlying priority heap.
 		  ///
 		  ///There is also a \ref dijkstra() "function-type interface" for the
 		  ///%Dijkstra algorithm, which is convenient in the simplier cases and
 		  ///it can be used easier.
 		  ///
 		  ///\tparam GR The type of the digraph the algorithm runs on.
 		  ///The default type is \ref ListDigraph.
 		  ///\tparam LM A \ref concepts::ReadMap "readable" arc map that specifies
 		  ///the lengths of the arcs.
 		  ///It is read once for each arc, so the map may involve in
 		  ///relatively time consuming process to compute the arc lengths if
 		  ///it is necessary. The default map type is \ref
 		  ///concepts::Digraph::ArcMap "GR::ArcMap<int>".
 		#ifdef DOXYGEN
 		  template <typename GR, typename LM, typename TR>
 		#else
 		  template <typename GR=ListDigraph,
 		            typename LM=typename GR::template ArcMap<int>,
 		            typename TR=DijkstraDefaultTraits<GR,LM> >
 		#endif
 		  class Dijkstra {
 		  public:
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    ///The type of the length of the arcs.
 		    typedef typename TR::LengthMap::Value Value;
 		    ///The type of the map that stores the arc lengths.
 		    typedef typename TR::LengthMap LengthMap;
 		    ///\brief The type of the map that stores the predecessor arcs of the
 		    ///shortest paths.
 		    typedef typename TR::PredMap PredMap;
 		    ///The type of the map that stores the distances of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the paths.
 		    typedef PredMapPath<Digraph, PredMap> Path;
 		    ///The cross reference type used for the current heap.
 		    typedef typename TR::HeapCrossRef HeapCrossRef;
 		    ///The heap type used by the algorithm.
 		    typedef typename TR::Heap Heap;
-		    ///The operation traits class.
+		    ///\brief The \ref DijkstraDefaultOperationTraits "operation traits class"
 		    ///of the algorithm.
 		    typedef typename TR::OperationTraits OperationTraits;
 		    ///The \ref DijkstraDefaultTraits "traits class" of the algorithm.
 		    typedef TR Traits;
 		  private:
 		    typedef typename Digraph::Node Node;
 		    typedef typename Digraph::NodeIt NodeIt;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    //Pointer to the underlying digraph.
 		    const Digraph *G;
 		    //Pointer to the length map.
-		    const LengthMap *length;
+		    const LengthMap *_length;
 		    //Pointer to the map of predecessors arcs.
 		    PredMap *_pred;
 		    //Indicates if _pred is locally allocated (true) or not.
 		    bool local_pred;
 		    //Pointer to the map of distances.
 		    DistMap *_dist;
 		    //Indicates if _dist is locally allocated (true) or not.
 		    bool local_dist;
 		    //Pointer to the map of processed status of the nodes.
 		    ProcessedMap *_processed;
 		    //Indicates if _processed is locally allocated (true) or not.
 		    bool local_processed;
 		    //Pointer to the heap cross references.
 		    HeapCrossRef *_heap_cross_ref;
 		    //Indicates if _heap_cross_ref is locally allocated (true) or not.
 		    bool local_heap_cross_ref;
 		    //Pointer to the heap.
 		    Heap *_heap;
 		    //Indicates if _heap is locally allocated (true) or not.
 		    bool local_heap;
 		    //Creates the maps if necessary.
 		    void create_maps()
+		    {
 		      if(!_pred) {
 		        local_pred = true;
 		        _pred = Traits::createPredMap(*G);
+		      }
 		      if(!_dist) {
 		        local_dist = true;
 		        _dist = Traits::createDistMap(*G);
+		      }
 		      if(!_processed) {
 		        local_processed = true;
 		        _processed = Traits::createProcessedMap(*G);
+		      }
 		      if (!_heap_cross_ref) {
 		        local_heap_cross_ref = true;
 		        _heap_cross_ref = Traits::createHeapCrossRef(*G);
+		      }
 		      if (!_heap) {
 		        local_heap = true;
 		        _heap = Traits::createHeap(*_heap_cross_ref);
+		      }
+		    }
 		  public:
 		    typedef Dijkstra Create;
 		    ///\name Named template parameters
 		    ///@{
 		    template <class T>
 		    struct SetPredMapTraits : public Traits {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "PredMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///PredMap type.
+		    ///\c PredMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///PredMap type.
+		    ///\c PredMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetPredMap
 		      : public Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetPredMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetDistMapTraits : public Traits {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "DistMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///DistMap type.
+		    ///\c DistMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///DistMap type.
+		    ///\c DistMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetDistMap
 		      : public Dijkstra< Digraph, LengthMap, SetDistMapTraits<T> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetDistMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct SetProcessedMapTraits : public Traits {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &)
+		      {
 		        LEMON_ASSERT(false, "ProcessedMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type.
+		    ///\c ProcessedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type.
+		    ///\c ProcessedMap type.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    template <class T>
 		    struct SetProcessedMap
 		      : public Dijkstra< Digraph, LengthMap, SetProcessedMapTraits<T> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetProcessedMapTraits<T> > Create;
 		    };
 		    struct SetStandardProcessedMapTraits : public Traits {
 		      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &g)
+		      {
 		        return new ProcessedMap(g);
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
+		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
+		    ///\c ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///If you don't set it explicitly, it will be automatically allocated.
 		    struct SetStandardProcessedMap
 		      : public Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits > {
 		      typedef Dijkstra< Digraph, LengthMap, SetStandardProcessedMapTraits >
 		      Create;
 		    };
 		    template <class H, class CR>
 		    struct SetHeapTraits : public Traits {
 		      typedef CR HeapCrossRef;
 		      typedef H Heap;
 		      static HeapCrossRef *createHeapCrossRef(const Digraph &) {
 		        LEMON_ASSERT(false, "HeapCrossRef is not initialized");
 		        return 0; // ignore warnings
+		      }
 		      static Heap *createHeap(HeapCrossRef &)
+		      {
 		        LEMON_ASSERT(false, "Heap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///heap and cross reference types
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting heap and cross
 		    ///reference types. If this named parameter is used, then external
 		    ///heap and cross reference objects must be passed to the algorithm
 		    ///using the \ref heap() function before calling \ref run(Node) "run()"
 		    ///or \ref init().
 		    ///\sa SetStandardHeap
 		    template <class H, class CR = typename Digraph::template NodeMap<int> >
 		    struct SetHeap
 		      : public Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetHeapTraits<H, CR> > Create;
 		    };
 		    template <class H, class CR>
 		    struct SetStandardHeapTraits : public Traits {
 		      typedef CR HeapCrossRef;
 		      typedef H Heap;
 		      static HeapCrossRef *createHeapCrossRef(const Digraph &G) {
 		        return new HeapCrossRef(G);
+		      }
 		      static Heap *createHeap(HeapCrossRef &R)
+		      {
 		        return new Heap(R);
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///heap and cross reference types with automatic allocation
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting heap and cross
 		    ///reference types with automatic allocation.
 		    ///They should have standard constructor interfaces to be able to
 		    ///automatically created by the algorithm (i.e. the digraph should be
 		    ///passed to the constructor of the cross reference and the cross
 		    ///reference should be passed to the constructor of the heap).
 		    ///However external heap and cross reference objects could also be
 		    ///passed to the algorithm using the \ref heap() function before
 		    ///calling \ref run(Node) "run()" or \ref init().
 		    ///\sa SetHeap
 		    template <class H, class CR = typename Digraph::template NodeMap<int> >
 		    struct SetStandardHeap
 		      : public Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> > {
 		      typedef Dijkstra< Digraph, LengthMap, SetStandardHeapTraits<H, CR> >
 		      Create;
 		    };
 		    template <class T>
 		    struct SetOperationTraitsTraits : public Traits {
 		      typedef T OperationTraits;
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    ///\c OperationTraits type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
-		    ///\ref OperationTraits type.
+		    ///\c OperationTraits type.
 		    template <class T>
 		    struct SetOperationTraits
 		      : public Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> > {
 		      typedef Dijkstra<Digraph, LengthMap, SetOperationTraitsTraits<T> >
 		      Create;
 		    };
 		    ///@}
 		  protected:
 		    Dijkstra() {}
 		  public:
 		    ///Constructor.
 		    ///Constructor.
 		    ///\param _g The digraph the algorithm runs on.
 		    ///\param _length The length map used by the algorithm.
 		    Dijkstra(const Digraph& _g, const LengthMap& _length) :
 		      G(&_g), length(&_length),
 		    ///\param g The digraph the algorithm runs on.
 		    ///\param length The length map used by the algorithm.
 		    Dijkstra(const Digraph& g, const LengthMap& length) :
 		      G(&g), _length(&length),
 		      _pred(NULL), local_pred(false),
 		      _dist(NULL), local_dist(false),
 		      _processed(NULL), local_processed(false),
 		      _heap_cross_ref(NULL), local_heap_cross_ref(false),
 		      _heap(NULL), local_heap(false)
 		    { }
 		    ///Destructor.
 		    ~Dijkstra()
+		    {
 		      if(local_pred) delete _pred;
 		      if(local_dist) delete _dist;
 		      if(local_processed) delete _processed;
 		      if(local_heap_cross_ref) delete _heap_cross_ref;
 		      if(local_heap) delete _heap;
+		    }
 		    ///Sets the length map.
 		    ///Sets the length map.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &lengthMap(const LengthMap &m)
+		    {
-		      length = &m;
+		      _length = &m;
 		      return *this;
+		    }
 		    ///Sets the map that stores the predecessor arcs.
 		    ///Sets the map that stores the predecessor arcs.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &predMap(PredMap &m)
+		    {
 		      if(local_pred) {
 		        delete _pred;
 		        local_pred=false;
+		      }
 		      _pred = &m;
 		      return *this;
+		    }
 		    ///Sets the map that indicates which nodes are processed.
 		    ///Sets the map that indicates which nodes are processed.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &processedMap(ProcessedMap &m)
+		    {
 		      if(local_processed) {
 		        delete _processed;
 		        local_processed=false;
+		      }
 		      _processed = &m;
 		      return *this;
+		    }
 		    ///Sets the map that stores the distances of the nodes.
 		    ///Sets the map that stores the distances of the nodes calculated by the
 		    ///algorithm.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), an instance will be allocated automatically.
 		    ///The destructor deallocates this automatically allocated map,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &distMap(DistMap &m)
+		    {
 		      if(local_dist) {
 		        delete _dist;
 		        local_dist=false;
+		      }
 		      _dist = &m;
 		      return *this;
+		    }
 		    ///Sets the heap and the cross reference used by algorithm.
 		    ///Sets the heap and the cross reference used by algorithm.
 		    ///If you don't use this function before calling \ref run(Node) "run()"
 		    ///or \ref init(), heap and cross reference instances will be
 		    ///allocated automatically.
 		    ///The destructor deallocates these automatically allocated objects,
 		    ///of course.
 		    ///\return <tt> (*this) </tt>
 		    Dijkstra &heap(Heap& hp, HeapCrossRef &cr)
+		    {
 		      if(local_heap_cross_ref) {
 		        delete _heap_cross_ref;
 		        local_heap_cross_ref=false;
+		      }
 		      _heap_cross_ref = &cr;
 		      if(local_heap) {
 		        delete _heap;
 		        local_heap=false;
+		      }
 		      _heap = &hp;
 		      return *this;
+		    }
 		  private:
 		    void finalizeNodeData(Node v,Value dst)
+		    {
 		      _processed->set(v,true);
 		      _dist->set(v, dst);
+		    }
 		  public:
 		    ///\name Execution Control
 		    ///The simplest way to execute the %Dijkstra algorithm is to use
 		    ///one of the member functions called \ref run(Node) "run()".\n
 		    ///If you need more control on the execution, first you have to call
 		    ///\ref init(), then you can add several source nodes with
 		    ///\ref addSource(). Finally the actual path computation can be
 		    ///performed with one of the \ref start() functions.
 		    ///@{
 		    ///\brief Initializes the internal data structures.
 		    ///
 		    ///Initializes the internal data structures.
 		    void init()
+		    {
 		      create_maps();
 		      _heap->clear();
 		      for ( NodeIt u(*G) ; u!=INVALID ; ++u ) {
 		        _pred->set(u,INVALID);
 		        _processed->set(u,false);
 		        _heap_cross_ref->set(u,Heap::PRE_HEAP);
+		      }
+		    }
 		    ///Adds a new source node.
 		    ///Adds a new source node to the priority heap.
 		    ///The optional second parameter is the initial distance of the node.
 		    ///
 		    ///The function checks if the node has already been added to the heap and
 		    ///it is pushed to the heap only if either it was not in the heap
 		    ///or the shortest path found till then is shorter than \c dst.
 		    void addSource(Node s,Value dst=OperationTraits::zero())
+		    {
 		      if(_heap->state(s) != Heap::IN_HEAP) {
 		        _heap->push(s,dst);
 		      } else if(OperationTraits::less((*_heap)[s], dst)) {
 		        _heap->set(s,dst);
 		        _pred->set(s,INVALID);
+		      }
+		    }
 		    ///Processes the next node in the priority heap
 		    ///Processes the next node in the priority heap.
 		    ///
 		    ///\return The processed node.
 		    ///
 		    ///\warning The priority heap must not be empty.
 		    Node processNextNode()
+		    {
 		      Node v=_heap->top();
 		      Value oldvalue=_heap->prio();
 		      _heap->pop();
 		      finalizeNodeData(v,oldvalue);
 		      for(OutArcIt e(*G,v); e!=INVALID; ++e) {
 		        Node w=G->target(e);
 		        switch(_heap->state(w)) {
 		        case Heap::PRE_HEAP:
-		          _heap->push(w,OperationTraits::plus(oldvalue, (*length)[e]));
+		          _heap->push(w,OperationTraits::plus(oldvalue, (*_length)[e]));
 		          _pred->set(w,e);
 		          break;
 		        case Heap::IN_HEAP:
+		          {
-		            Value newvalue = OperationTraits::plus(oldvalue, (*length)[e]);
+		            Value newvalue = OperationTraits::plus(oldvalue, (*_length)[e]);
 		            if ( OperationTraits::less(newvalue, (*_heap)[w]) ) {
 		              _heap->decrease(w, newvalue);
 		              _pred->set(w,e);
+		            }
+		          }
 		          break;
 		        case Heap::POST_HEAP:
 		          break;
+		        }
+		      }
 		      return v;
+		    }
 		    ///The next node to be processed.
 		    ///Returns the next node to be processed or \c INVALID if the
 		    ///priority heap is empty.
 		    Node nextNode() const
+		    {
 		      return !_heap->empty()?_heap->top():INVALID;
+		    }
 		    ///Returns \c false if there are nodes to be processed.
 		    ///Returns \c false if there are nodes to be processed
 		    ///in the priority heap.
 		    bool emptyQueue() const { return _heap->empty(); }
 		    ///Returns the number of the nodes to be processed.
 		    ///Returns the number of the nodes to be processed
 		    ///in the priority heap.
 		    int queueSize() const { return _heap->size(); }
 		    ///Executes the algorithm.
 		    ///Executes the algorithm.
 		    ///
 		    ///This method runs the %Dijkstra algorithm from the root node(s)
 		    ///in order to compute the shortest path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the shortest path tree (forest),
 		    ///- the distance of each node from the root(s).
 		    ///
 		    ///\pre init() must be called and at least one root node should be
 		    ///added with addSource() before using this function.
 		    ///
 		    ///\note <tt>d.start()</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  while ( !d.emptyQueue() ) {
 		    ///    d.processNextNode();
 		    ///  }
 		    ///\endcode
 		    void start()
+		    {
 		      while ( !emptyQueue() ) processNextNode();
+		    }
 		    ///Executes the algorithm until the given target node is processed.
 		    ///Executes the algorithm until the given target node is processed.
 		    ///
 		    ///This method runs the %Dijkstra algorithm from the root node(s)
 		    ///in order to compute the shortest path to \c t.
 		    ///
 		    ///The algorithm computes
 		    ///- the shortest path to \c t,
 		    ///- the distance of \c t from the root(s).
 		    ///
 		    ///\pre init() must be called and at least one root node should be
 		    ///added with addSource() before using this function.
 		    void start(Node t)
+		    {
 		      while ( !_heap->empty() && _heap->top()!=t ) processNextNode();
 		      if ( !_heap->empty() ) {
 		        finalizeNodeData(_heap->top(),_heap->prio());
 		        _heap->pop();
+		      }
+		    }
 		    ///Executes the algorithm until a condition is met.
 		    ///Executes the algorithm until a condition is met.
 		    ///
 		    ///This method runs the %Dijkstra algorithm from the root node(s) in
 		    ///order to compute the shortest path to a node \c v with
 		    /// <tt>nm[v]</tt> true, if such a node can be found.
 		    ///
 		    ///\param nm A \c bool (or convertible) node map. The algorithm
 		    ///will stop when it reaches a node \c v with <tt>nm[v]</tt> true.
 		    ///
 		    ///\return The reached node \c v with <tt>nm[v]</tt> true or
 		    ///\c INVALID if no such node was found.
 		    ///
 		    ///\pre init() must be called and at least one root node should be
 		    ///added with addSource() before using this function.
 		    template<class NodeBoolMap>
 		    Node start(const NodeBoolMap &nm)
+		    {
 		      while ( !_heap->empty() && !nm[_heap->top()] ) processNextNode();
 		      if ( _heap->empty() ) return INVALID;
 		      finalizeNodeData(_heap->top(),_heap->prio());
 		      return _heap->top();
+		    }
 		    ///Runs the algorithm from the given source node.
 		    ///This method runs the %Dijkstra algorithm from node \c s
 		    ///in order to compute the shortest path to each node.
 		    ///
 		    ///The algorithm computes
 		    ///- the shortest path tree,
 		    ///- the distance of each node from the root.
 		    ///
 		    ///\note <tt>d.run(s)</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  d.addSource(s);
 		    ///  d.start();
 		    ///\endcode
 		    void run(Node s) {
 		      init();
 		      addSource(s);
 		      start();
+		    }
 		    ///Finds the shortest path between \c s and \c t.
 		    ///This method runs the %Dijkstra algorithm from node \c s
 		    ///in order to compute the shortest path to node \c t
 		    ///(it stops searching when \c t is processed).
 		    ///
 		    ///\return \c true if \c t is reachable form \c s.
 		    ///
 		    ///\note Apart from the return value, <tt>d.run(s,t)</tt> is just a
 		    ///shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  d.addSource(s);
 		    ///  d.start(t);
 		    ///\endcode
 		    bool run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return (*_heap_cross_ref)[t] == Heap::POST_HEAP;
+		    }
 		    ///@}
 		    ///\name Query Functions
 		    ///The results of the %Dijkstra algorithm can be obtained using these
 		    ///functions.\n
 		    ///Either \ref run(Node) "run()" or \ref start() should be called
 		    ///before using them.
 		    ///@{
 		    ///The shortest path to a node.
 		    ///Returns the shortest path to a node.
 		    ///
 		    ///\warning \c t should be reached from the root(s).
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Path path(Node t) const { return Path(*G, *_pred, t); }
 		    ///The distance of a node from the root(s).
 		    ///Returns the distance of a node from the root(s).
 		    ///
 		    ///\warning If node \c v is not reached from the root(s), then
 		    ///the return value of this function is undefined.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Value dist(Node v) const { return (*_dist)[v]; }
 		    ///Returns the 'previous arc' of the shortest path tree for a node.
 		    ///This function returns the 'previous arc' of the shortest path
 		    ///tree for the node \c v, i.e. it returns the last arc of a
 		    ///shortest path from a root to \c v. It is \c INVALID if \c v
 		    ///is not reached from the root(s) or if \c v is a root.
 		    ///
 		    ///The shortest path tree used here is equal to the shortest path
 		    ///tree used in \ref predNode().
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Arc predArc(Node v) const { return (*_pred)[v]; }
 		    ///Returns the 'previous node' of the shortest path tree for a node.
 		    ///This function returns the 'previous node' of the shortest path
 		    ///tree for the node \c v, i.e. it returns the last but one node
 		    ///from a shortest path from a root to \c v. It is \c INVALID
 		    ///if \c v is not reached from the root(s) or if \c v is a root.
 		    ///
 		    ///The shortest path tree used here is equal to the shortest path
 		    ///tree used in \ref predArc().
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
 		                                  G->source((*_pred)[v]); }
 		    ///\brief Returns a const reference to the node map that stores the
 		    ///distances of the nodes.
 		    ///
 		    ///Returns a const reference to the node map that stores the distances
 		    ///of the nodes calculated by the algorithm.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    const DistMap &distMap() const { return *_dist;}
 		    ///\brief Returns a const reference to the node map that stores the
 		    ///predecessor arcs.
 		    ///
 		    ///Returns a const reference to the node map that stores the predecessor
 		    ///arcs, which form the shortest path tree.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    const PredMap &predMap() const { return *_pred;}
 		    ///Checks if a node is reached from the root(s).
 		    ///Returns \c true if \c v is reached from the root(s).
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    bool reached(Node v) const { return (*_heap_cross_ref)[v] !=
 		                                        Heap::PRE_HEAP; }
 		    ///Checks if a node is processed.
 		    ///Returns \c true if \c v is processed, i.e. the shortest
 		    ///path to \c v has already found.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function.
 		    bool processed(Node v) const { return (*_heap_cross_ref)[v] ==
 		                                          Heap::POST_HEAP; }
 		    ///The current distance of a node from the root(s).
 		    ///Returns the current distance of a node from the root(s).
 		    ///It may be decreased in the following processes.
 		    ///
 		    ///\pre Either \ref run(Node) "run()" or \ref init()
 		    ///must be called before using this function and
 		    ///node \c v must be reached but not necessarily processed.
 		    Value currentDist(Node v) const {
 		      return processed(v) ? (*_dist)[v] : (*_heap)[v];
+		    }
 		    ///@}
 		  };
 		  ///Default traits class of dijkstra() function.
 		  ///Default traits class of dijkstra() function.
 		  ///\tparam GR The type of the digraph.
 		  ///\tparam LM The type of the length map.
 		  template<class GR, class LM>
 		  struct DijkstraWizardDefaultTraits
+		  {
 		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
 		    ///The type of the map that stores the arc lengths.
 		    ///The type of the map that stores the arc lengths.
 		    ///It must meet the \ref concepts::ReadMap "ReadMap" concept.
 		    typedef LM LengthMap;
 		    ///The type of the length of the arcs.
 		    typedef typename LM::Value Value;
 		    /// Operation traits for Dijkstra algorithm.
 		    /// This class defines the operations that are used in the algorithm.
 		    /// \see DijkstraDefaultOperationTraits
 		    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
 		    /// The cross reference type used by the heap.
 		    /// The cross reference type used by the heap.
 		    /// Usually it is \c Digraph::NodeMap<int>.
 		    typedef typename Digraph::template NodeMap<int> HeapCrossRef;
 		    ///Instantiates a \ref HeapCrossRef.
 		    ///This function instantiates a \ref HeapCrossRef.
 		    /// \param g is the digraph, to which we would like to define the
 		    /// HeapCrossRef.
 		    static HeapCrossRef *createHeapCrossRef(const Digraph &g)
+		    {
 		      return new HeapCrossRef(g);
+		    }
 		    ///The heap type used by the Dijkstra algorithm.
 		    ///The heap type used by the Dijkstra algorithm.
 		    ///
 		    ///\sa BinHeap
 		    ///\sa Dijkstra
 		    typedef BinHeap<Value, typename Digraph::template NodeMap<int>,
 		                    std::less<Value> > Heap;
 		    ///Instantiates a \ref Heap.
 		    ///This function instantiates a \ref Heap.
 		    /// \param r is the HeapCrossRef which is used.
 		    static Heap *createHeap(HeapCrossRef& r)
+		    {
 		      return new Heap(r);
+		    }
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
 		    ///The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a PredMap.
 		    ///This function instantiates a PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///PredMap.
 		    static PredMap *createPredMap(const Digraph &g)
+		    {
 		      return new PredMap(g);
+		    }
 		    ///The type of the map that indicates which nodes are processed.
 		    ///The type of the map that indicates which nodes are processed.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///By default it is a NullMap.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
 		    ///This function instantiates a ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the ProcessedMap.
 		#ifdef DOXYGEN
 		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
 		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that stores the distances of the nodes.
 		    ///The type of the map that stores the distances of the nodes.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    typedef typename Digraph::template NodeMap<typename LM::Value> DistMap;
 		    ///Instantiates a DistMap.
 		    ///This function instantiates a DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the DistMap
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
 		      return new DistMap(g);
+		    }
 		    ///The type of the shortest paths.
 		    ///The type of the shortest paths.
 		    ///It must meet the \ref concepts::Path "Path" concept.
 		    typedef lemon::Path<Digraph> Path;
 		  };
 		  /// Default traits class used by DijkstraWizard
 		  /// To make it easier to use Dijkstra algorithm
 		  /// we have created a wizard class.

lemon/preflow.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_PREFLOW_H
 		#define LEMON_PREFLOW_H
 		#include <lemon/tolerance.h>
 		#include <lemon/elevator.h>
 		/// \file
 		/// \ingroup max_flow
 		/// \brief Implementation of the preflow algorithm.
 		namespace lemon {
 		  /// \brief Default traits class of Preflow class.
 		  ///
 		  /// Default traits class of Preflow class.
 		  /// \tparam _Digraph Digraph type.
 		  /// \tparam _CapacityMap Capacity map type.
-		  template <typename _Digraph, typename _CapacityMap>
+		  /// \tparam GR Digraph type.
 		  /// \tparam CM Capacity map type.
 		  template <typename GR, typename CM>
 		  struct PreflowDefaultTraits {
 		    /// \brief The type of the digraph the algorithm runs on.
-		    typedef _Digraph Digraph;
+		    typedef GR Digraph;
 		    /// \brief The type of the map that stores the arc capacities.
 		    ///
 		    /// The type of the map that stores the arc capacities.
 		    /// It must meet the \ref concepts::ReadMap "ReadMap" concept.
-		    typedef _CapacityMap CapacityMap;
+		    typedef CM CapacityMap;
 		    /// \brief The type of the flow values.
 		    typedef typename CapacityMap::Value Value;
 		    /// \brief The type of the map that stores the flow values.
 		    ///
 		    /// The type of the map that stores the flow values.
 		    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template ArcMap<Value> FlowMap;
 		    /// \brief Instantiates a FlowMap.
 		    ///
 		    /// This function instantiates a \ref FlowMap.
 		    /// \param digraph The digraph, to which we would like to define
 		    /// the flow map.
 		    static FlowMap* createFlowMap(const Digraph& digraph) {
 		      return new FlowMap(digraph);
+		    }
 		    /// \brief The elevator type used by Preflow algorithm.
 		    ///
 		    /// The elevator type used by Preflow algorithm.
 		    ///
 		    /// \sa Elevator
 		    /// \sa LinkedElevator
 		    typedef LinkedElevator<Digraph, typename Digraph::Node> Elevator;
 		    /// \brief Instantiates an Elevator.
 		    ///
 		    /// This function instantiates an \ref Elevator.
 		    /// \param digraph The digraph, to which we would like to define
 		    /// the elevator.
 		    /// \param max_level The maximum level of the elevator.
 		    static Elevator* createElevator(const Digraph& digraph, int max_level) {
 		      return new Elevator(digraph, max_level);
+		    }
 		    /// \brief The tolerance used by the algorithm
 		    ///
 		    /// The tolerance used by the algorithm to handle inexact computation.
 		    typedef lemon::Tolerance<Value> Tolerance;
 		  };
 		  /// \ingroup max_flow
 		  ///
 		  /// \brief %Preflow algorithm class.
 		  ///
 		  /// This class provides an implementation of Goldberg-Tarjan's \e preflow
 		  /// \e push-relabel algorithm producing a flow of maximum value in a
 		  /// digraph. The preflow algorithms are the fastest known maximum
 		  /// flow algorithms. The current implementation use a mixture of the
 		  /// \e "highest label" and the \e "bound decrease" heuristics.
 		  /// The worst case time complexity of the algorithm is \f$O(n^2\sqrt{e})\f$.
 		  ///
 		  /// The algorithm consists of two phases. After the first phase
 		  /// the maximum flow value and the minimum cut is obtained. The
 		  /// second phase constructs a feasible maximum flow on each arc.
 		  ///
 		  /// \tparam _Digraph The type of the digraph the algorithm runs on.
 		  /// \tparam _CapacityMap The type of the capacity map. The default map
-		  /// type is \ref concepts::Digraph::ArcMap "_Digraph::ArcMap<int>".
+		  /// \tparam GR The type of the digraph the algorithm runs on.
 		  /// \tparam CM The type of the capacity map. The default map
 		  /// type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
 		#ifdef DOXYGEN
-		  template <typename _Digraph, typename _CapacityMap, typename _Traits>
+		  template <typename GR, typename CM, typename TR>
 		#else
 		  template <typename _Digraph,
 		            typename _CapacityMap = typename _Digraph::template ArcMap<int>,
-		            typename _Traits = PreflowDefaultTraits<_Digraph, _CapacityMap> >
+		  template <typename GR,
 		            typename CM = typename GR::template ArcMap<int>,
 		            typename TR = PreflowDefaultTraits<GR, CM> >
 		#endif
 		  class Preflow {
 		  public:
 		    ///The \ref PreflowDefaultTraits "traits class" of the algorithm.
-		    typedef _Traits Traits;
+		    typedef TR Traits;
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename Traits::Digraph Digraph;
 		    ///The type of the capacity map.
 		    typedef typename Traits::CapacityMap CapacityMap;
 		    ///The type of the flow values.
 		    typedef typename Traits::Value Value;
 		    ///The type of the flow map.
 		    typedef typename Traits::FlowMap FlowMap;
 		    ///The type of the elevator.
 		    typedef typename Traits::Elevator Elevator;
 		    ///The type of the tolerance.
 		    typedef typename Traits::Tolerance Tolerance;
 		  private:
 		    TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
 		    const Digraph& _graph;
 		    const CapacityMap* _capacity;
 		    int _node_num;
 		    Node _source, _target;
 		    FlowMap* _flow;
 		    bool _local_flow;
 		    Elevator* _level;
 		    bool _local_level;
 		    typedef typename Digraph::template NodeMap<Value> ExcessMap;
 		    ExcessMap* _excess;
 		    Tolerance _tolerance;
 		    bool _phase;
 		    void createStructures() {
 		      _node_num = countNodes(_graph);
 		      if (!_flow) {
 		        _flow = Traits::createFlowMap(_graph);
 		        _local_flow = true;
+		      }
 		      if (!_level) {
 		        _level = Traits::createElevator(_graph, _node_num);
 		        _local_level = true;
+		      }
 		      if (!_excess) {
 		        _excess = new ExcessMap(_graph);
+		      }
+		    }
 		    void destroyStructures() {
 		      if (_local_flow) {
 		        delete _flow;
+		      }
 		      if (_local_level) {
 		        delete _level;
+		      }
 		      if (_excess) {
 		        delete _excess;
+		      }
+		    }
 		  public:
 		    typedef Preflow Create;
 		    ///\name Named Template Parameters
 		    ///@{
 		    template <typename _FlowMap>
 		    struct SetFlowMapTraits : public Traits {
 		      typedef _FlowMap FlowMap;
 		      static FlowMap *createFlowMap(const Digraph&) {
 		        LEMON_ASSERT(false, "FlowMap is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// FlowMap type
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting FlowMap
 		    /// type.
 		    template <typename _FlowMap>
 		    struct SetFlowMap
 		      : public Preflow<Digraph, CapacityMap, SetFlowMapTraits<_FlowMap> > {
 		      typedef Preflow<Digraph, CapacityMap,
 		                      SetFlowMapTraits<_FlowMap> > Create;
 		    };
 		    template <typename _Elevator>
 		    struct SetElevatorTraits : public Traits {
 		      typedef _Elevator Elevator;
 		      static Elevator *createElevator(const Digraph&, int) {
 		        LEMON_ASSERT(false, "Elevator is not initialized");
 		        return 0; // ignore warnings
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// Elevator type
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting Elevator
 		    /// type. If this named parameter is used, then an external
 		    /// elevator object must be passed to the algorithm using the
 		    /// \ref elevator(Elevator&) "elevator()" function before calling
 		    /// \ref run() or \ref init().
 		    /// \sa SetStandardElevator
 		    template <typename _Elevator>
 		    struct SetElevator
 		      : public Preflow<Digraph, CapacityMap, SetElevatorTraits<_Elevator> > {
 		      typedef Preflow<Digraph, CapacityMap,
 		                      SetElevatorTraits<_Elevator> > Create;
 		    };
 		    template <typename _Elevator>
 		    struct SetStandardElevatorTraits : public Traits {
 		      typedef _Elevator Elevator;
 		      static Elevator *createElevator(const Digraph& digraph, int max_level) {
 		        return new Elevator(digraph, max_level);
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// Elevator type with automatic allocation
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting Elevator
 		    /// type with automatic allocation.
 		    /// The Elevator should have standard constructor interface to be
 		    /// able to automatically created by the algorithm (i.e. the
 		    /// digraph and the maximum level should be passed to it).
 		    /// However an external elevator object could also be passed to the
 		    /// algorithm with the \ref elevator(Elevator&) "elevator()" function
 		    /// before calling \ref run() or \ref init().
 		    /// \sa SetElevator
 		    template <typename _Elevator>
 		    struct SetStandardElevator
 		      : public Preflow<Digraph, CapacityMap,
 		                       SetStandardElevatorTraits<_Elevator> > {
 		      typedef Preflow<Digraph, CapacityMap,
 		                      SetStandardElevatorTraits<_Elevator> > Create;
 		    };
 		    /// @}
 		  protected:
 		    Preflow() {}
 		  public:
 		    /// \brief The constructor of the class.
 		    ///
 		    /// The constructor of the class.
 		    /// \param digraph The digraph the algorithm runs on.
 		    /// \param capacity The capacity of the arcs.
 		    /// \param source The source node.
 		    /// \param target The target node.
 		    Preflow(const Digraph& digraph, const CapacityMap& capacity,
 		            Node source, Node target)
 		      : _graph(digraph), _capacity(&capacity),
 		        _node_num(0), _source(source), _target(target),
 		        _flow(0), _local_flow(false),
 		        _level(0), _local_level(false),
 		        _excess(0), _tolerance(), _phase() {}
 		    /// \brief Destructor.
 		    ///
 		    /// Destructor.
 		    ~Preflow() {
 		      destroyStructures();
+		    }
 		    /// \brief Sets the capacity map.
 		    ///
 		    /// Sets the capacity map.
 		    /// \return <tt>(*this)</tt>
 		    Preflow& capacityMap(const CapacityMap& map) {
 		      _capacity = &map;
 		      return *this;
+		    }
 		    /// \brief Sets the flow map.
 		    ///
 		    /// Sets the flow map.
 		    /// If you don't use this function before calling \ref run() or
 		    /// \ref init(), an instance will be allocated automatically.
 		    /// The destructor deallocates this automatically allocated map,
 		    /// of course.
 		    /// \return <tt>(*this)</tt>
 		    Preflow& flowMap(FlowMap& map) {
 		      if (_local_flow) {
 		        delete _flow;
 		        _local_flow = false;
+		      }
 		      _flow = &map;
 		      return *this;
+		    }
 		    /// \brief Sets the source node.
 		    ///
 		    /// Sets the source node.
 		    /// \return <tt>(*this)</tt>
 		    Preflow& source(const Node& node) {
 		      _source = node;
 		      return *this;
+		    }
 		    /// \brief Sets the target node.
 		    ///
 		    /// Sets the target node.
 		    /// \return <tt>(*this)</tt>
 		    Preflow& target(const Node& node) {
 		      _target = node;
 		      return *this;
+		    }
 		    /// \brief Sets the elevator used by algorithm.
 		    ///
 		    /// Sets the elevator used by algorithm.
 		    /// If you don't use this function before calling \ref run() or
 		    /// \ref init(), an instance will be allocated automatically.
 		    /// The destructor deallocates this automatically allocated elevator,
 		    /// of course.
 		    /// \return <tt>(*this)</tt>
 		    Preflow& elevator(Elevator& elevator) {
 		      if (_local_level) {
 		        delete _level;
 		        _local_level = false;
+		      }
 		      _level = &elevator;
 		      return *this;
+		    }
 		    /// \brief Returns a const reference to the elevator.
 		    ///
 		    /// Returns a const reference to the elevator.
 		    ///
 		    /// \pre Either \ref run() or \ref init() must be called before
 		    /// using this function.
 		    const Elevator& elevator() const {
 		      return *_level;
+		    }
 		    /// \brief Sets the tolerance used by algorithm.
 		    ///
 		    /// Sets the tolerance used by algorithm.
 		    Preflow& tolerance(const Tolerance& tolerance) const {
 		      _tolerance = tolerance;
 		      return *this;
+		    }
 		    /// \brief Returns a const reference to the tolerance.
 		    ///
 		    /// Returns a const reference to the tolerance.
 		    const Tolerance& tolerance() const {
 		      return tolerance;
+		    }
 		    /// \name Execution Control
 		    /// The simplest way to execute the preflow algorithm is to use
 		    /// \ref run() or \ref runMinCut().\n
 		    /// If you need more control on the initial solution or the execution,
 		    /// first you have to call one of the \ref init() functions, then
 		    /// \ref startFirstPhase() and if you need it \ref startSecondPhase().
 		    ///@{
 		    /// \brief Initializes the internal data structures.
 		    ///
 		    /// Initializes the internal data structures and sets the initial
 		    /// flow to zero on each arc.
 		    void init() {
 		      createStructures();
 		      _phase = true;
 		      for (NodeIt n(_graph); n != INVALID; ++n) {
 		        _excess->set(n, 0);
+		      }
 		      for (ArcIt e(_graph); e != INVALID; ++e) {
 		        _flow->set(e, 0);
+		      }
 		      typename Digraph::template NodeMap<bool> reached(_graph, false);
 		      _level->initStart();
 		      _level->initAddItem(_target);
 		      std::vector<Node> queue;
 		      reached.set(_source, true);
 		      queue.push_back(_target);
 		      reached.set(_target, true);
 		      while (!queue.empty()) {
 		        _level->initNewLevel();
 		        std::vector<Node> nqueue;
 		        for (int i = 0; i < int(queue.size()); ++i) {
 		          Node n = queue[i];
 		          for (InArcIt e(_graph, n); e != INVALID; ++e) {
 		            Node u = _graph.source(e);
 		            if (!reached[u] && _tolerance.positive((*_capacity)[e])) {
 		              reached.set(u, true);
 		              _level->initAddItem(u);
 		              nqueue.push_back(u);
+		            }
+		          }
+		        }
 		        queue.swap(nqueue);
+		      }
 		      _level->initFinish();
 		      for (OutArcIt e(_graph, _source); e != INVALID; ++e) {
 		        if (_tolerance.positive((*_capacity)[e])) {
 		          Node u = _graph.target(e);
 		          if ((*_level)[u] == _level->maxLevel()) continue;
 		          _flow->set(e, (*_capacity)[e]);
 		          _excess->set(u, (*_excess)[u] + (*_capacity)[e]);
 		          if (u != _target && !_level->active(u)) {
 		            _level->activate(u);
+		          }
+		        }
+		      }
+		    }
 		    /// \brief Initializes the internal data structures using the
 		    /// given flow map.
 		    ///
 		    /// Initializes the internal data structures and sets the initial
 		    /// flow to the given \c flowMap. The \c flowMap should contain a
 		    /// flow or at least a preflow, i.e. at each node excluding the
 		    /// source node the incoming flow should greater or equal to the
 		    /// outgoing flow.
 		    /// \return \c false if the given \c flowMap is not a preflow.
 		    template <typename FlowMap>
 		    bool init(const FlowMap& flowMap) {
 		      createStructures();
 		      for (ArcIt e(_graph); e != INVALID; ++e) {
 		        _flow->set(e, flowMap[e]);
+		      }
 		      for (NodeIt n(_graph); n != INVALID; ++n) {
 		        Value excess = 0;
 		        for (InArcIt e(_graph, n); e != INVALID; ++e) {
 		          excess += (*_flow)[e];
+		        }
 		        for (OutArcIt e(_graph, n); e != INVALID; ++e) {
 		          excess -= (*_flow)[e];
+		        }
 		        if (excess < 0 && n != _source) return false;
 		        _excess->set(n, excess);
+		      }
 		      typename Digraph::template NodeMap<bool> reached(_graph, false);
 		      _level->initStart();
 		      _level->initAddItem(_target);
 		      std::vector<Node> queue;
 		      reached.set(_source, true);
 		      queue.push_back(_target);
 		      reached.set(_target, true);
 		      while (!queue.empty()) {
 		        _level->initNewLevel();
 		        std::vector<Node> nqueue;
 		        for (int i = 0; i < int(queue.size()); ++i) {
 		          Node n = queue[i];
 		          for (InArcIt e(_graph, n); e != INVALID; ++e) {
 		            Node u = _graph.source(e);
 		            if (!reached[u] &&
 		                _tolerance.positive((*_capacity)[e] - (*_flow)[e])) {
 		              reached.set(u, true);
 		              _level->initAddItem(u);
 		              nqueue.push_back(u);
+		            }

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