LEMON/LEMON-main Changeset - r244:c30731a37f91

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Changeset - r244:c30731a37f91

« 217:b67149

247:f11587 »

r244:c30731a37f91

Sun, 03 Aug 2008 13:34:57

[Not Reviewed]

0 comments (0 inline)

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

Many improvements in bfs.h, dfs.h and dijkstra.h - Add run() function to Bfs and run(s,t) function to DfsVisit. - Add debug checking to addSource() function of Dfs and DfsVisit. - Add a few missing named parameters (according to \todo notes). - Small fixes in the code (e.g. missing derivations). - Many doc improvements. - Remove \todo and \warning comments which are no longer valid. - Remove \author commands (see ticket #39). - Fixes in the the doc (e.g. wrong references). - Hide the doc of most of the private and protected members. - Use public typedefs instead of template parameters in public functions. - Use better parameter names for some functions. - Other small changes to make the doc more uniform.

0 3 0

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3 files changed with 1542 insertions and 1276 deletions:

lemon/bfs.h

571

455

lemon/dfs.h

553

476

lemon/dijkstra.h

418

345

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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) 2003-2008
 		 * 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.
+		///\brief BFS algorithm.
 		#include <lemon/list_graph.h>
 		#include <lemon/graph_utils.h>
 		#include <lemon/bits/path_dump.h>
 		#include <lemon/bits/invalid.h>
 		#include <lemon/error.h>
 		#include <lemon/maps.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 digraph type the algorithm runs on.
+		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
-		    ///\brief The type of the map that stores the last
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
-		    ///The type of the map that stores the last
+		    ///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 GR::Arc> PredMap;
-		    ///Instantiates a PredMap.
+		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a \ref PredMap.
 		    ///This function instantiates a \ref PredMap.
-		    ///\param G is the digraph, to which we would like to define the PredMap.
+		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref PredMap.
 		    ///\todo The digraph alone may be insufficient to initialize
-		    static PredMap *createPredMap(const GR &G)
+		    static PredMap *createPredMap(const Digraph &g)
+		    {
-		      return new PredMap(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.
-		    ///\todo named parameter to set this type, function to read and write.
+		    ///By default it is a NullMap.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
+		    ///Instantiates a \ref ProcessedMap.
 		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ProcessedMap
 		#ifdef DOXYGEN
-		    static ProcessedMap *createProcessedMap(const GR &g)
+		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
-		    static ProcessedMap *createProcessedMap(const GR &)
+		    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::WriteMap "WriteMap" concept.
 		    ///\todo named parameter to set this type, function to read and write.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a ReachedMap.
+		    ///Instantiates a \ref ReachedMap.
 		    ///This function instantiates a \ref ReachedMap.
-		    ///\param G is the digraph, to which
+		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ReachedMap.
-		    static ReachedMap *createReachedMap(const GR &G)
+		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
-		      return new ReachedMap(G);
+		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the dists of the nodes.
-		    ///The type of the map that stores the dists of the nodes.
+		    ///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 \ref DistMap.
 		    ///This function instantiates a \ref DistMap.
 		    ///\param G is the digraph, to which we would like to define
 		    ///the \ref DistMap
-		    static DistMap *createDistMap(const GR &G)
+		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref DistMap.
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
-		      return new DistMap(G);
+		      return new DistMap(g);
+		    }
 		  };
 		  ///%BFS algorithm class.
 		  ///\ingroup search
 		  ///This class provides an efficient implementation of the %BFS algorithm.
 		  ///
 		  ///\tparam GR The digraph type the algorithm runs on. The default value is
 		  ///\ref ListDigraph. The value of GR is not used directly by Bfs, it
-		  ///is only passed to \ref BfsDefaultTraits.
+		  ///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 value is \ref ListDigraph. The value of GR is not used
 		  ///directly by \ref Bfs, it is only passed to \ref BfsDefaultTraits.
 		  ///\tparam TR Traits class to set various data types used by the algorithm.
 		  ///The default traits class is
 		  ///\ref BfsDefaultTraits "BfsDefaultTraits<GR>".
 		  ///See \ref BfsDefaultTraits for the documentation of
 		  ///a Bfs traits class.
 		#ifdef DOXYGEN
 		  template <typename GR,
 		            typename TR>
 		#else
 		  template <typename GR=ListDigraph,
 		            typename TR=BfsDefaultTraits<GR> >
 		#endif
 		  class Bfs {
 		  public:
 		    /**
 		     * \brief \ref Exception for uninitialized parameters.
+		     *
 		     * This error represents problems in the initialization
 		     * of the parameters of the algorithms.
 		     */
 		    ///\ref Exception for uninitialized parameters.
 		    ///This error represents problems in the initialization of the
 		    ///parameters of the algorithm.
 		    class UninitializedParameter : public lemon::UninitializedParameter {
 		    public:
 		      virtual const char* what() const throw() {
 		        return "lemon::Bfs::UninitializedParameter";
+		      }
 		    };
 		    typedef TR Traits;
 		    ///The type of the underlying digraph.
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    ///\brief The type of the map that stores the last
 		    ///arcs of the shortest paths.
 		    ///\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 indicating which nodes are reached.
+		    ///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 indicating which nodes are processed.
+		    ///The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the map that stores the dists of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///The type of the paths.
 		    typedef PredMapPath<Digraph, PredMap> Path;
 		    ///The traits class.
 		    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.
 		    //Pointer to the underlying digraph.
 		    const Digraph *G;
-		    ///Pointer to the map of predecessors arcs.
+		    //Pointer to the map of predecessor arcs.
 		    PredMap *_pred;
-		    ///Indicates if \ref _pred is locally allocated (\c true) or not.
 		    //Indicates if _pred is locally allocated (true) or not.
 		    bool local_pred;
-		    ///Pointer to the map of distances.
 		    //Pointer to the map of distances.
 		    DistMap *_dist;
-		    ///Indicates if \ref _dist is locally allocated (\c true) or not.
 		    //Indicates if _dist is locally allocated (true) or not.
 		    bool local_dist;
-		    ///Pointer to the map of reached status of the nodes.
 		    //Pointer to the map of reached status of the nodes.
 		    ReachedMap *_reached;
-		    ///Indicates if \ref _reached is locally allocated (\c true) or not.
 		    //Indicates if _reached is locally allocated (true) or not.
 		    bool local_reached;
-		    ///Pointer to the map of processed status of the nodes.
 		    //Pointer to the map of processed status of the nodes.
 		    ProcessedMap *_processed;
-		    ///Indicates if \ref _processed is locally allocated (\c true) or not.
 		    //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.
 		    ///\todo Better memory allocation (instead of new).
 		    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 DefPredMapTraits : public Traits {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///PredMap type
+		    ///\ref PredMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting PredMap type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref PredMap type.
 		    template <class T>
 		    struct DefPredMap : public Bfs< Digraph, DefPredMapTraits<T> > {
 		      typedef Bfs< Digraph, DefPredMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct DefDistMapTraits : public Traits {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///DistMap type
+		    ///\ref DistMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting DistMap type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref DistMap type.
 		    template <class T>
 		    struct DefDistMap : public Bfs< Digraph, DefDistMapTraits<T> > {
 		      typedef Bfs< Digraph, DefDistMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct DefReachedMapTraits : public Traits {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ReachedMap type
+		    ///\ref ReachedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref ReachedMap type.
 		    template <class T>
 		    struct DefReachedMap : public Bfs< Digraph, DefReachedMapTraits<T> > {
 		      typedef Bfs< Digraph, DefReachedMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct DefProcessedMapTraits : public Traits {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type
+		    ///\ref ProcessedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type.
 		    template <class T>
 		    struct DefProcessedMap : public Bfs< Digraph, DefProcessedMapTraits<T> > {
 		      typedef Bfs< Digraph, DefProcessedMapTraits<T> > Create;
 		    };
 		    struct DefDigraphProcessedMapTraits : public Traits {
 		      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
-		      static ProcessedMap *createProcessedMap(const Digraph &G)
+		      static ProcessedMap *createProcessedMap(const Digraph &g)
+		      {
-		        return new ProcessedMap(G);
+		        return new ProcessedMap(g);
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///
 		    ///\ref named-templ-param "Named parameter"
 		    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///If you don't set it explicitly, it will be automatically allocated.
 		    template <class T>
 		    struct DefProcessedMapToBeDefaultMap :
 		      public Bfs< Digraph, DefDigraphProcessedMapTraits> {
 		      typedef Bfs< Digraph, DefDigraphProcessedMapTraits> Create;
 		    };
 		    ///@}
 		  public:
 		    ///Constructor.
 		    ///\param _G the digraph the algorithm will run on.
 		    ///
 		    Bfs(const Digraph& _G) :
 		      G(&_G),
 		    ///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 storing the predecessor arcs.
+		    ///Sets the map that stores the predecessor arcs.
-		    ///Sets the map storing the predecessor arcs.
+		    ///Sets the map that stores the predecessor arcs.
 		    ///If you don't use this function before calling \ref run(),
 		    ///it will allocate one. 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 indicating the reached nodes.
+		    ///Sets the map that indicates which nodes are reached.
-		    ///Sets the map indicating the reached nodes.
+		    ///Sets the map that indicates which nodes are reached.
 		    ///If you don't use this function before calling \ref run(),
 		    ///it will allocate one. 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 indicating the processed nodes.
+		    ///Sets the map that indicates which nodes are processed.
-		    ///Sets the map indicating the processed nodes.
+		    ///Sets the map that indicates which nodes are processed.
 		    ///If you don't use this function before calling \ref run(),
 		    ///it will allocate one. 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 storing the distances calculated by the algorithm.
+		    ///Sets the map that stores the distances of the nodes.
-		    ///Sets the map storing the distances calculated by the algorithm.
+		    ///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(),
 		    ///it will allocate one. 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 algorithm is to use
-		    ///one of the member functions called \c run(...).
+		    ///one of the member functions called \ref lemon::Bfs::run() "run()".
 		    ///\n
 		    ///If you need more control on the execution,
 		    ///first you must call \ref init(), then you can add several source nodes
 		    ///with \ref addSource().
 		    ///Finally \ref start() will perform the actual path
-		    ///computation.
+		    ///If you need more control on the execution, first you must call
 		    ///\ref lemon::Bfs::init() "init()", then you can add several source
 		    ///nodes with \ref lemon::Bfs::addSource() "addSource()".
 		    ///Finally \ref lemon::Bfs::start() "start()" will perform the
 		    ///actual path computation.
 		    ///@{
 		    ///\brief Initializes the internal data structures.
 		    ///
 		    ///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.
 		    ///
-		    ///\warning The queue must not be empty!
+		    ///\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 that the given target 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 reached parameter will be set true. The reached
 		    ///parameter should be initially false.
 		    ///node, then the \c reach parameter will be set to \c true.
 		    ///
 		    ///\param target The target node.
-		    ///\retval reach Indicates that the target node is reached.
+		    ///\retval reach Indicates if the target node is reached.
 		    ///It should be initially \c false.
 		    ///
 		    ///\return The processed node.
 		    ///
-		    ///\warning The queue must not be empty!
+		    ///\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 that at least one of
 		    ///reached node has true value in the \c nm node map. If one node
 		    ///with true value is reachable from the processed node then the
 		    ///rnode parameter will be set to the first of such nodes.
 		    ///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 The node map of possible targets.
+		    ///\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.
 		    ///
-		    ///\warning The queue must not be empty!
+		    ///\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;
+		    }
-		    ///Next node to be processed.
+		    ///The next node to be processed.
 		    ///Next node to be processed.
 		    ///
 		    ///\return The next node to be processed or INVALID if the queue is
 		    /// empty.
-		    Node nextNode()
+		    ///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;
+		    }
 		    ///\brief Returns \c false if there are nodes
-		    ///to be processed in the queue
+		    ///to be processed.
 		    ///
 		    ///Returns \c false if there are nodes
 		    ///to be processed in the queue
 		    bool emptyQueue() { return _queue_tail==_queue_head; }
 		    ///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() { return _queue_head-_queue_tail; }
+		    int queueSize() const { return _queue_head-_queue_tail; }
 		    ///Executes the algorithm.
 		    ///Executes the algorithm.
 		    ///
 		    ///\pre init() must be called and at least one node should be added
 		    ///with addSource() before using this function.
 		    ///This method runs the %BFS algorithm from the root node(s)
 		    ///in order to compute the shortest path to each node.
 		    ///
 		    ///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.
 		    ///- The distance of each node from the root(s).
 		    ///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 \c dest is reached.
+		    ///Executes the algorithm until the given target node is reached.
 		    ///Executes the algorithm until \c dest is reached.
 		    ///
 		    ///\pre init() must be called and at least one node should be added
 		    ///with addSource() before using this function.
 		    ///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 dest.
 		    ///
 		    ///The algorithm computes
 		    ///- The shortest path to \c  dest.
 		    ///- The distance of \c dest from the root(s).
 		    ///- the shortest path to \c dest,
 		    ///- the distance of \c dest 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 dest)
+		    {
 		      bool reach = false;
 		      while ( !emptyQueue() && !reach ) processNextNode(dest, reach);
+		    }
 		    ///Executes the algorithm until a condition is met.
 		    ///Executes the algorithm until a condition is met.
 		    ///
 		    ///\pre init() must be called and at least one node should be added
 		    ///with addSource() before using this function.
 		    ///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.
+		    ///\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.
 		    template<class NM>
 		    Node start(const NM &nm)
 		    ///
 		    ///\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 %BFS algorithm from node \c s.
+		    ///Runs the algorithm from the given node.
 		    ///This method runs the %BFS algorithm from a root 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.
 		    ///This method runs the %BFS algorithm from node \c s
 		    ///in order to compute the shortest path to each node.
 		    ///
-		    ///\note b.run(s) is just a shortcut of the following code.
+		    ///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.
-		    ///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 \c t.
 		    ///
 		    ///\return The length of the shortest s---t path if there exists one,
 		    ///0 otherwise.
 		    ///\note Apart from the return value, b.run(s) is
 		    ///just a shortcut of the following code.
 		    ///\return The length of the shortest <tt>s</tt>--<tt>t</tt> path,
 		    ///if \c t is reachable form \c s, \c 0 otherwise.
 		    ///
 		    ///\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
 		    int run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return reached(t) ? _curr_dist : 0;
+		    }
 		    ///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) {
 		    ///    if (!b.reached(n)) {
 		    ///      b.addSource(n);
 		    ///      b.start();
 		    ///    }
 		    ///  }
 		    ///\endcode
 		    void run() {
 		      init();
 		      for (NodeIt n(*G); n != INVALID; ++n) {
 		        if (!reached(n)) {
 		          addSource(n);
 		          start();
+		        }
+		      }
+		    }
 		    ///@}
 		    ///\name Query Functions
 		    ///The result of the %BFS algorithm can be obtained using these
 		    ///functions.\n
 		    ///Before the use of these functions,
 		    ///either run() or start() must be calleb.
 		    ///Either \ref lemon::Bfs::run() "run()" or \ref lemon::Bfs::start()
 		    ///"start()" must be called before using them.
 		    ///@{
-		    typedef PredMapPath<Digraph, PredMap> Path;
+		    ///The shortest path to a node.
 		    ///Gives back the shortest path.
 		    ///Gives back the shortest path.
 		    ///\pre The \c t should be reachable from the source.
 		    Path path(Node t)
+		    {
 		      return Path(*G, *_pred, t);
+		    }
 		    ///Returns the shortest path to a node.
 		    ///
 		    ///\warning \c t should be reachable from the root(s).
 		    ///
 		    ///\pre Either \ref run() or \ref start() 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).
 		    ///\pre \ref run() must be called before using this function.
 		    ///\warning If node \c v in unreachable from the root(s) the return value
-		    ///of this function is undefined.
 		    ///
 		    ///\warning If node \c v is not reachable from the root(s), then
 		    ///the return value of this function is undefined.
 		    ///
 		    ///\pre Either \ref run() or \ref start() must be called before
 		    ///using this function.
 		    int dist(Node v) const { return (*_dist)[v]; }
 		    ///Returns the 'previous arc' of the shortest path tree.
+		    ///Returns the 'previous arc' of the shortest path tree for a node.
 		    ///For a node \c v it returns the 'previous arc'
 		    ///of the shortest path tree,
 		    ///i.e. it returns the last arc of a shortest path from the root(s) to \c
 		    ///v. It is \ref INVALID
 		    ///if \c v is unreachable from the root(s) or \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() or \ref start() must be called before using
-		    ///this function.
+		    ///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 the root(s) to \c v. It is \c INVALID if \c v
 		    ///is not reachable 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() or \ref start() must be called before
 		    ///using this function.
 		    Arc predArc(Node v) const { return (*_pred)[v];}
 		    ///Returns the 'previous node' of the shortest path tree.
+		    ///Returns the 'previous node' of the shortest path tree for a node.
 		    ///For a node \c v it returns the 'previous node'
 		    ///of the shortest path tree,
 		    ///i.e. it returns the last but one node from a shortest path from the
 		    ///root(a) to \c /v.
 		    ///It is INVALID if \c v is unreachable from the root(s) or
 		    ///if \c v itself a root.
 		    ///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 the root(s) to \c v. It is \c INVALID
 		    ///if \c v is not reachable 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() or \ref start() must be called before
 		    ///using this function.
 		    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
 		                                  G->source((*_pred)[v]); }
 		    ///Returns a reference to the NodeMap of distances.
 		    ///Returns a reference to the NodeMap of distances.
 		    ///\pre Either \ref run() or \ref init() must
-		    ///be called before using this function.
+		    ///\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() or \ref init()
 		    ///must be called before using this function.
 		    const DistMap &distMap() const { return *_dist;}
 		    ///Returns a reference to the shortest path tree map.
 		    ///Returns a reference to the NodeMap of the arcs of the
 		    ///shortest path tree.
 		    ///\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() or \ref init()
 		    ///must be called before using this function.
 		    const PredMap &predMap() const { return *_pred;}
 		    ///Checks if a node is reachable from the root.
+		    ///Checks if a node is reachable from the root(s).
 		    ///Returns \c true if \c v is reachable from the root.
 		    ///\warning The source nodes are indicated as unreached.
 		    ///Returns \c true if \c v is reachable from the root(s).
 		    ///\pre Either \ref run() or \ref start()
 		    ///must be called before using this function.
 		    ///
 		    bool reached(Node v) { return (*_reached)[v]; }
 		    bool reached(Node v) const { return (*_reached)[v]; }
 		    ///@}
 		  };
-		  ///Default traits class of Bfs function.
+		  ///Default traits class of bfs() function.
-		  ///Default traits class of Bfs function.
+		  ///Default traits class of bfs() function.
 		  ///\tparam GR Digraph type.
 		  template<class GR>
 		  struct BfsWizardDefaultTraits
+		  {
-		    ///The digraph type the algorithm runs on.
+		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
-		    ///\brief The type of the map that stores the last
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
-		    ///The type of the map that stores the last
+		    ///The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///
 		    typedef NullMap<typename Digraph::Node,typename GR::Arc> PredMap;
-		    ///Instantiates a PredMap.
+		    typedef NullMap<typename Digraph::Node,typename Digraph::Arc> PredMap;
 		    ///Instantiates a \ref PredMap.
 		    ///This function instantiates a \ref PredMap.
-		    ///\param g is the digraph, to which we would like to define the PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref PredMap.
 		    ///\todo The digraph alone may be insufficient to initialize
 		#ifdef DOXYGEN
-		    static PredMap *createPredMap(const GR &g)
+		    static PredMap *createPredMap(const Digraph &g)
 		#else
-		    static PredMap *createPredMap(const GR &)
+		    static PredMap *createPredMap(const Digraph &)
 		#endif
+		    {
 		      return new PredMap();
+		    }
 		    ///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.
 		    ///\todo named parameter to set this type, function to read and write.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
+		    ///Instantiates a \ref ProcessedMap.
 		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ProcessedMap
+		    ///we would like to define the \ref ProcessedMap.
 		#ifdef DOXYGEN
-		    static ProcessedMap *createProcessedMap(const GR &g)
+		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
-		    static ProcessedMap *createProcessedMap(const GR &)
+		    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::WriteMap "WriteMap" concept.
 		    ///\todo named parameter to set this type, function to read and write.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a ReachedMap.
+		    ///Instantiates a \ref ReachedMap.
 		    ///This function instantiates a \ref ReachedMap.
-		    ///\param G is the digraph, to which
+		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ReachedMap.
-		    static ReachedMap *createReachedMap(const GR &G)
+		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
-		      return new ReachedMap(G);
+		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the dists of the nodes.
-		    ///The type of the map that stores the dists of the nodes.
+		    ///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 NullMap<typename Digraph::Node,int> DistMap;
 		    ///Instantiates a DistMap.
+		    ///Instantiates a \ref DistMap.
 		    ///This function instantiates a \ref DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the \ref DistMap
 		#ifdef DOXYGEN
-		    static DistMap *createDistMap(const GR &g)
+		    static DistMap *createDistMap(const Digraph &g)
 		#else
-		    static DistMap *createDistMap(const GR &)
+		    static DistMap *createDistMap(const Digraph &)
 		#endif
+		    {
 		      return new DistMap();
+		    }
 		  };
 		  /// Default traits used by \ref BfsWizard
+		  /// Default traits class used by \ref 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:
-		    /// Type of the nodes in the digraph.
+		    //The type of the nodes in the digraph.
 		    typedef typename Base::Digraph::Node Node;
-		    /// Pointer to the underlying digraph.
+		    //Pointer to the digraph the algorithm runs on.
 		    void *_g;
-		    ///Pointer to the map of reached nodes.
 		    //Pointer to the map of reached nodes.
 		    void *_reached;
-		    ///Pointer to the map of processed nodes.
 		    //Pointer to the map of processed nodes.
 		    void *_processed;
-		    ///Pointer to the map of predecessors arcs.
 		    //Pointer to the map of predecessors arcs.
 		    void *_pred;
-		    ///Pointer to the map of distances.
 		    //Pointer to the map of distances.
 		    void *_dist;
-		    ///Pointer to the source node.
 		    //Pointer to the source node.
 		    Node _source;
 		    public:
 		    /// Constructor.
 		    /// This constructor does not require parameters, therefore it initiates
 		    /// all of the attributes to default values (0, INVALID).
 		    BfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
 		                           _dist(0), _source(INVALID) {}
 		    /// Constructor.
 		    /// This constructor requires some parameters,
 		    /// listed in the parameters list.
 		    /// Others are initiated to 0.
 		    /// \param g is the initial value of  \ref _g
 		    /// \param s is the initial value of  \ref _source
 		    /// \param g The digraph the algorithm runs on.
 		    /// \param s The source node.
 		    BfsWizardBase(const GR &g, Node s=INVALID) :
 		      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
 		      _reached(0), _processed(0), _pred(0), _dist(0), _source(s) {}
 		  };
-		  /// A class to make the usage of Bfs algorithm easier
+		  /// Auxiliary class for the function type interface of BFS algorithm.
 		  /// This class is created to make it easier to use Bfs algorithm.
 		  /// It uses the functions and features of the plain \ref Bfs,
-		  /// but it is much simpler to use it.
+		  /// This auxiliary class is created to implement the function type
 		  /// interface of \ref Bfs algorithm. It uses the functions and features
 		  /// of the plain \ref Bfs, but it is much simpler to use it.
 		  /// It should only be used through the \ref bfs() function, which makes
 		  /// it easier to use the algorithm.
 		  ///
 		  /// Simplicity means that the way to change the types defined
 		  /// in the traits class is based on functions that returns the new class
 		  /// and not on templatable built-in classes.
 		  /// When using the plain \ref Bfs
 		  /// the new class with the modified type comes from
 		  /// the original class by using the ::
 		  /// operator. In the case of \ref BfsWizard only
 		  /// a function have to be called and it will
+		  /// a function have to be called, and it will
 		  /// return the needed class.
 		  ///
 		  /// It does not have own \ref run method. When its \ref run method is called
 		  /// it initiates a plain \ref Bfs class, and calls the \ref Bfs::run
-		  /// method of it.
+		  /// It does not have own \ref run() method. When its \ref run() method
 		  /// is called, it initiates a plain \ref Bfs object, and calls the
 		  /// \ref Bfs::run() method of it.
 		  template<class TR>
 		  class BfsWizard : public TR
+		  {
 		    typedef TR Base;
-		    ///The type of the underlying digraph.
+		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
-		    //\e
 		    typedef typename Digraph::Node Node;
 		    //\e
 		    typedef typename Digraph::NodeIt NodeIt;
 		    //\e
 		    typedef typename Digraph::Arc Arc;
 		    //\e
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    ///\brief The type of the map that stores
 		    ///the reached nodes
 		    typedef typename TR::ReachedMap ReachedMap;
 		    ///\brief The type of the map that stores
 		    ///the processed nodes
 		    typedef typename TR::ProcessedMap ProcessedMap;
-		    ///\brief The type of the map that stores the last
+		    ///\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 dists of the nodes.
+		    ///\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;
 		  public:
 		    /// Constructor.
 		    BfsWizard() : TR() {}
 		    /// Constructor that requires parameters.
 		    /// Constructor that requires parameters.
 		    /// These parameters will be the default values for the traits class.
 		    BfsWizard(const Digraph &g, Node s=INVALID) :
 		      TR(g,s) {}
 		    ///Copy constructor
 		    BfsWizard(const TR &b) : TR(b) {}
 		    ~BfsWizard() {}
-		    ///Runs Bfs algorithm from a given node.
+		    ///Runs BFS algorithm from a source node.
 		    ///Runs Bfs algorithm from a given node.
 		    ///The node can be given by the \ref source function.
 		    ///Runs BFS algorithm from a source node.
 		    ///The node can be given with the \ref source() function.
 		    void run()
+		    {
 		      if(Base::_source==INVALID) throw UninitializedParameter();
 		      Bfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
 		      if(Base::_reached)
 		        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
 		      if(Base::_processed)
 		        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
 		      if(Base::_pred)
 		        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
 		      if(Base::_dist)
 		        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
 		      alg.run(Base::_source);
+		    }
-		    ///Runs Bfs algorithm from the given node.
+		    ///Runs BFS algorithm from the given node.
-		    ///Runs Bfs algorithm from the given node.
+		    ///Runs BFS algorithm from the given node.
 		    ///\param s is the given source.
 		    void run(Node s)
+		    {
 		      Base::_source=s;
 		      run();
+		    }
 		    template<class T>
 		    struct DefPredMapBase : public Base {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &) { return 0; };
 		      DefPredMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///function for setting PredMap
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting PredMap
 		    ///
 		    template<class T>
 		    BfsWizard<DefPredMapBase<T> > predMap(const T &t)
+		    {
 		      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<DefPredMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefReachedMapBase : public Base {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
 		      DefReachedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///function for setting ReachedMap
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting ReachedMap
 		    ///
 		    template<class T>
 		    BfsWizard<DefReachedMapBase<T> > reachedMap(const T &t)
+		    {
 		      Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<DefReachedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefProcessedMapBase : public Base {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
 		      DefProcessedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///function for setting ProcessedMap
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting ProcessedMap
 		    ///
 		    template<class T>
 		    BfsWizard<DefProcessedMapBase<T> > processedMap(const T &t)
+		    {
 		      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<DefProcessedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefDistMapBase : public Base {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &) { return 0; };
 		      DefDistMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///function for setting DistMap type
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting DistMap type
 		    ///
 		    template<class T>
 		    BfsWizard<DefDistMapBase<T> > distMap(const T &t)
+		    {
 		      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<DefDistMapBase<T> >(*this);
+		    }
 		    /// Sets the source node, from which the Bfs algorithm runs.
 		    /// Sets the source node, from which the Bfs algorithm runs.
 		    /// \param s is the source node.
 		    BfsWizard<TR> &source(Node s)
+		    {
 		      Base::_source=s;
 		      return *this;
+		    }
 		    template<class T>
 		    struct DefPredMapBase : public Base {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &) { return 0; };
 		      DefPredMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///for setting \ref PredMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///for setting \ref PredMap object.
 		    template<class T>
 		    BfsWizard<DefPredMapBase<T> > predMap(const T &t)
+		    {
 		      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<DefPredMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefReachedMapBase : public Base {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
 		      DefReachedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///for setting \ref ReachedMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///for setting \ref ReachedMap object.
 		    template<class T>
 		    BfsWizard<DefReachedMapBase<T> > reachedMap(const T &t)
+		    {
 		      Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<DefReachedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefProcessedMapBase : public Base {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
 		      DefProcessedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///for setting \ref ProcessedMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///for setting \ref ProcessedMap object.
 		    template<class T>
 		    BfsWizard<DefProcessedMapBase<T> > processedMap(const T &t)
+		    {
 		      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<DefProcessedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefDistMapBase : public Base {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &) { return 0; };
 		      DefDistMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///for setting \ref DistMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///for setting \ref DistMap object.
 		    template<class T>
 		    BfsWizard<DefDistMapBase<T> > distMap(const T &t)
+		    {
 		      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return BfsWizard<DefDistMapBase<T> >(*this);
+		    }
 		  };
 		  ///Function type interface for Bfs algorithm.
 		  /// \ingroup search
 		  ///Function type interface for Bfs algorithm.
 		  ///
 		  ///This function also has several
 		  ///\ref named-templ-func-param "named parameters",
 		  ///they are declared as the members of class \ref BfsWizard.
 		  ///The following
 		  ///example shows how to use these parameters.
 		  ///\code
 		  ///  bfs(g,source).predMap(preds).run();
 		  ///\endcode
 		  ///\warning Don't forget to put the \ref BfsWizard::run() "run()"
 		  ///to the end of the parameter list.
 		  ///\sa BfsWizard
 		  ///\sa Bfs
 		  template<class GR>
 		  BfsWizard<BfsWizardBase<GR> >
 		  bfs(const GR &g,typename GR::Node s=INVALID)
+		  {
 		    return BfsWizard<BfsWizardBase<GR> >(g,s);
+		  }
 		#ifdef DOXYGEN
-		  /// \brief Visitor class for bfs.
+		  /// \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.
+		  /// it could be the base of a real visitor class.
 		  template <typename _Digraph>
 		  struct BfsVisitor {
 		    typedef _Digraph Digraph;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::Node Node;
-		    /// \brief Called when the arc reach a node.
+		    /// \brief Called for the source node(s) of the BFS.
 		    ///
 		    /// It is called when the bfs find an arc which target is not
 		    /// reached yet.
 		    /// 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 the node reached first time.
 		    ///
 		    /// It is Called when the node reached first time.
 		    void reach(const Node& node) {}
-		    /// \brief Called when the arc examined but target of the arc
+		    /// \brief Called when an arc is examined but its target node is
 		    /// already discovered.
 		    ///
-		    /// It called when the arc examined but the target of the arc
+		    /// This function is called when an arc is examined but its target node is
 		    /// already discovered.
 		    void examine(const Arc& arc) {}
 		    /// \brief Called for the source node of the bfs.
 		    ///
 		    /// It is called for the source node of the bfs.
 		    void start(const Node& node) {}
 		    /// \brief Called when the node processed.
 		    ///
 		    /// It is Called when the node processed.
 		    void process(const Node& node) {}
 		  };
 		#else
 		  template <typename _Digraph>
 		  struct BfsVisitor {
 		    typedef _Digraph 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 reach(const Node&) {}
 		    void examine(const Arc&) {}
 		    void start(const Node&) {}
 		    void process(const Node&) {}
 		    template <typename _Visitor>
 		    struct Constraints {
 		      void constraints() {
 		        Arc arc;
 		        Node node;
 		        visitor.start(node);
 		        visitor.reach(node);
 		        visitor.process(node);
 		        visitor.discover(arc);
 		        visitor.reach(node);
 		        visitor.examine(arc);
 		        visitor.start(node);
 		        visitor.process(node);
+		      }
 		      _Visitor& visitor;
 		    };
 		  };
 		#endif
 		  /// \brief Default traits class of BfsVisit class.
 		  ///
 		  /// Default traits class of BfsVisit class.
-		  /// \tparam _Digraph Digraph type.
+		  /// \tparam _Digraph The type of the digraph the algorithm runs on.
 		  template<class _Digraph>
 		  struct BfsVisitDefaultTraits {
-		    /// \brief The digraph type the algorithm runs on.
+		    /// \brief The type of the digraph the algorithm runs on.
 		    typedef _Digraph 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::WriteMap "WriteMap" concept.
 		    /// \todo named parameter to set this type, function to read and write.
 		    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    /// \brief Instantiates a ReachedMap.
+		    /// \brief Instantiates a \ref ReachedMap.
 		    ///
 		    /// This function instantiates a \ref ReachedMap.
 		    /// \param digraph is the digraph, to which
 		    /// we would like to define the \ref ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &digraph) {
 		      return new ReachedMap(digraph);
+		    }
 		  };
 		  /// \ingroup search
 		  ///
-		  /// \brief %BFS Visit algorithm class.
+		  /// \brief %BFS algorithm class with visitor interface.
 		  ///
 		  /// This class provides an efficient implementation of the %BFS algorithm
 		  /// with visitor interface.
 		  ///
 		  /// The %BfsVisit class provides an alternative interface to the Bfs
 		  /// class. It works with callback mechanism, the BfsVisit object calls
-		  /// on every bfs event the \c Visitor class member functions.
+		  /// the member functions of the \c Visitor class on every BFS event.
 		  ///
-		  /// \tparam _Digraph The digraph type the algorithm runs on.
+		  /// \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 Bfs, it
 		  /// is only passed to \ref BfsDefaultTraits.
 		  /// \tparam _Visitor The Visitor object for the algorithm. The
 		  /// \ref BfsVisitor "BfsVisitor<_Digraph>" 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.
 		  /// \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
 		  /// 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
 		  /// algorithm. The default traits class is
 		  /// \ref BfsVisitDefaultTraits "BfsVisitDefaultTraits<_Digraph>".
 		  /// See \ref BfsVisitDefaultTraits for the documentation of
-		  /// a Bfs visit traits class.
+		  /// a BFS visit traits class.
 		#ifdef DOXYGEN
 		  template <typename _Digraph, typename _Visitor, typename _Traits>
 		#else
 		  template <typename _Digraph = ListDigraph,
 		            typename _Visitor = BfsVisitor<_Digraph>,
 		            typename _Traits = BfsDefaultTraits<_Digraph> >
 		#endif
 		  class BfsVisit {
 		  public:
 		    /// \brief \ref Exception for uninitialized parameters.
 		    ///
 		    /// This error represents problems in the initialization
-		    /// of the parameters of the algorithms.
+		    /// of the parameters of the algorithm.
 		    class UninitializedParameter : public lemon::UninitializedParameter {
 		    public:
 		      virtual const char* what() const throw()
+		      {
 		        return "lemon::BfsVisit::UninitializedParameter";
+		      }
 		    };
 		    ///The traits class.
 		    typedef _Traits 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;
-		    ///The type of the map indicating which nodes are reached.
+		    ///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.
 		    //Pointer to the underlying digraph.
 		    const Digraph *_digraph;
-		    /// Pointer to the visitor object.
 		    //Pointer to the visitor object.
 		    Visitor *_visitor;
-		    ///Pointer to the map of reached status of the nodes.
 		    //Pointer to the map of reached status of the nodes.
 		    ReachedMap *_reached;
-		    ///Indicates if \ref _reached is locally allocated (\c true) or not.
 		    //Indicates if _reached is locally allocated (true) or not.
 		    bool local_reached;
 		    std::vector<typename Digraph::Node> _list;
 		    int _list_front, _list_back;
 		    /// \brief Creates the maps if necessary.
 		    ///
 		    /// Creates the maps if necessary.
 		    ///\todo Better memory allocation (instead of new).
 		    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 DefReachedMapTraits : public Traits {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &digraph) {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// ReachedMap type
+		    /// ReachedMap type.
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting ReachedMap type
+		    /// \ref named-templ-param "Named parameter" for setting ReachedMap type.
 		    template <class T>
 		    struct DefReachedMap : public BfsVisit< Digraph, Visitor,
 		                                            DefReachedMapTraits<T> > {
 		      typedef BfsVisit< Digraph, Visitor, DefReachedMapTraits<T> > Create;
 		    };
 		    ///@}
 		  public:
 		    /// \brief Constructor.
 		    ///
 		    /// Constructor.
 		    ///
 		    /// \param digraph the digraph the algorithm will run on.
 		    /// \param visitor The visitor of the algorithm.
 		    ///
+		    /// \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.
 		    ///
 		    /// Destructor.
 		    ~BfsVisit() {
 		      if(local_reached) delete _reached;
+		    }
-		    /// \brief Sets the map indicating if a node is reached.
+		    /// \brief Sets the map that indicates which nodes are reached.
 		    ///
-		    /// Sets the map indicating if a node is reached.
+		    /// Sets the map that indicates which nodes are reached.
 		    /// If you don't use this function before calling \ref run(),
-		    /// it will allocate one. The destuctor deallocates this
+		    /// it will allocate one. 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 algorithm is to use
-		    /// one of the member functions called \c run(...).
+		    /// one of the member functions called \ref lemon::BfsVisit::run()
 		    /// "run()".
 		    /// \n
 		    /// If you need more control on the execution,
 		    /// first you must call \ref init(), then you can adda source node
 		    /// with \ref addSource().
 		    /// Finally \ref start() will perform the actual path
-		    /// computation.
+		    /// If you need more control on the execution, first you must call
 		    /// \ref lemon::BfsVisit::init() "init()", then you can add several
 		    /// source nodes with \ref lemon::BfsVisit::addSource() "addSource()".
 		    /// Finally \ref lemon::BfsVisit::start() "start()" will perform the
 		    /// actual path computation.
 		    /// @{
 		    /// \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!
+		    /// \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 that the given target 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 reached parameter will be set true. The reached
 		    /// parameter should be initially false.
 		    /// node, then the \c reach parameter will be set to \c true.
 		    ///
 		    /// \param target The target node.
-		    /// \retval reach Indicates that the target node is reached.
+		    /// \retval reach Indicates if the target node is reached.
 		    /// It should be initially \c false.
 		    ///
 		    /// \return The processed node.
 		    ///
-		    /// \warning The queue must not be empty!
+		    /// \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 that at least one of
 		    /// reached node has true value in the \c nm node map. If one node
 		    /// with true value is reachable from the processed node then the
 		    /// rnode parameter will be set to the first of such nodes.
 		    /// 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 The node map of possible targets.
+		    /// \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.
 		    ///
-		    /// \warning The queue must not be empty!
+		    /// \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 Next node to be processed.
+		    /// \brief The next node to be processed.
 		    ///
 		    /// Next node to be processed.
 		    ///
 		    /// \return The next node to be processed or INVALID if the stack is
 		    /// empty.
-		    Node nextNode() {
+		    /// 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 in the queue
+		    /// to be processed.
 		    ///
 		    /// Returns \c false if there are nodes
 		    /// to be processed in the queue
 		    bool emptyQueue() { return _list_front == _list_back; }
 		    /// 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() { return _list_back - _list_front; }
+		    int queueSize() const { return _list_back - _list_front; }
 		    /// \brief Executes the algorithm.
 		    ///
 		    /// Executes the algorithm.
 		    ///
-		    /// \pre init() must be called and at least one node should be added
+		    /// 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 \c dest is reached.
+		    /// \brief Executes the algorithm until the given target node is reached.
 		    ///
-		    /// Executes the algorithm until \c dest is reached.
+		    /// Executes the algorithm until the given target node is reached.
 		    ///
 		    /// \pre init() must be called and at least one node should be added
 		    /// with addSource() before using this function.
 		    /// This method runs the %BFS algorithm from the root node(s)
 		    /// in order to compute the shortest path to \c dest.
 		    ///
 		    /// The algorithm computes
 		    /// - the shortest path to \c dest,
 		    /// - the distance of \c dest 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 dest) {
 		      bool reach = false;
 		      while ( !emptyQueue() && !reach ) processNextNode(dest, reach);
+		    }
 		    /// \brief Executes the algorithm until a condition is met.
 		    ///
 		    /// Executes the algorithm until a condition is met.
 		    ///
 		    /// \pre init() must be called and at least one node should be added
 		    /// with addSource() before using this function.
 		    /// 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 %BFSVisit algorithm from node \c s.
+		    /// \brief Runs the algorithm from the given node.
 		    ///
 		    /// This method runs the %BFS algorithm from a root node \c s.
 		    /// \note b.run(s) is just a shortcut of the following code.
 		    /// 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 Runs %BFSVisit algorithm to visit all nodes in the digraph.
+		    /// \brief Runs the algorithm to visit all nodes in the digraph.
 		    ///
 		    /// This method runs the %BFS algorithm in order to
 		    /// compute the %BFS path to each node. The algorithm computes
 		    /// - The %BFS tree.
-		    /// - The distance of each node from the root in the %BFS tree.
+		    /// compute the shortest path to each node.
 		    ///
-		    ///\note b.run() is just a shortcut of the following code.
+		    /// 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 it(digraph); it != INVALID; ++it) {
 		    ///    if (!b.reached(it)) {
-		    ///      b.addSource(it);
+		    ///  for (NodeIt n(gr); n != INVALID; ++n) {
 		    ///    if (!b.reached(n)) {
 		    ///      b.addSource(n);
 		    ///      b.start();
 		    ///    }
 		    ///  }
 		    ///\endcode
 		    void run() {
 		      init();
 		      for (NodeIt it(*_digraph); it != INVALID; ++it) {
 		        if (!reached(it)) {
 		          addSource(it);
 		          start();
+		        }
+		      }
+		    }
 		    ///@}
 		    /// \name Query Functions
 		    /// The result of the %BFS algorithm can be obtained using these
 		    /// functions.\n
 		    /// Before the use of these functions,
 		    /// either run() or start() must be called.
 		    /// Either \ref lemon::BfsVisit::run() "run()" or
 		    /// \ref lemon::BfsVisit::start() "start()" must be called before
 		    /// using them.
 		    ///@{
 		    /// \brief Checks if a node is reachable from the root.
+		    /// \brief Checks if a node is reachable from the root(s).
 		    ///
 		    /// Returns \c true if \c v is reachable from the root(s).
 		    /// \warning The source nodes are inditated as unreachable.
 		    /// \pre Either \ref run() or \ref start()
 		    /// must be called before using this function.
 		    ///
 		    bool reached(Node v) { return (*_reached)[v]; }
 		    ///@}
 		  };
 		} //END OF NAMESPACE LEMON
 		#endif

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) 2003-2008
 		 * 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.
+		///\brief DFS algorithm.
 		#include <lemon/list_graph.h>
 		#include <lemon/graph_utils.h>
 		#include <lemon/bits/path_dump.h>
 		#include <lemon/bits/invalid.h>
 		#include <lemon/error.h>
 		#include <lemon/assert.h>
 		#include <lemon/maps.h>
 		#include <lemon/concept_check.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 digraph type the algorithm runs on.
+		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
-		    ///\brief The type of the map that stores the last
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///
-		    ///The type of the map that stores the last
+		    ///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 GR::Arc> PredMap;
-		    ///Instantiates a PredMap.
+		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a \ref PredMap.
 		    ///This function instantiates a \ref PredMap.
-		    ///\param G is the digraph, to which we would like to define the PredMap.
+		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref PredMap.
 		    ///\todo The digraph alone may be insufficient to initialize
-		    static PredMap *createPredMap(const GR &G)
+		    static PredMap *createPredMap(const Digraph &g)
+		    {
-		      return new PredMap(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.
-		    ///\todo named parameter to set this type, function to read and write.
+		    ///By default it is a NullMap.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
+		    ///Instantiates a \ref ProcessedMap.
 		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ProcessedMap
 		#ifdef DOXYGEN
-		    static ProcessedMap *createProcessedMap(const GR &g)
+		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
-		    static ProcessedMap *createProcessedMap(const GR &)
+		    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::WriteMap "WriteMap" concept.
 		    ///\todo named parameter to set this type, function to read and write.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a ReachedMap.
+		    ///Instantiates a \ref ReachedMap.
 		    ///This function instantiates a \ref ReachedMap.
-		    ///\param G is the digraph, to which
+		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ReachedMap.
-		    static ReachedMap *createReachedMap(const GR &G)
+		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
-		      return new ReachedMap(G);
+		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the dists of the nodes.
-		    ///The type of the map that stores the dists of the nodes.
+		    ///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 \ref DistMap.
 		    ///This function instantiates a \ref DistMap.
 		    ///\param G is the digraph, to which we would like to define
 		    ///the \ref DistMap
-		    static DistMap *createDistMap(const GR &G)
+		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref DistMap.
 		    static DistMap *createDistMap(const Digraph &g)
+		    {
-		      return new DistMap(G);
+		      return new DistMap(g);
+		    }
 		  };
 		  ///%DFS algorithm class.
 		  ///\ingroup search
 		  ///This class provides an efficient implementation of the %DFS algorithm.
 		  ///
 		  ///\tparam GR The digraph type the algorithm runs on. The default value is
 		  ///\ref ListDigraph. The value of GR is not used directly by Dfs, it
-		  ///is only passed to \ref DfsDefaultTraits.
+		  ///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 value is \ref ListDigraph. The value of GR is not used
 		  ///directly by \ref Dfs, it is only passed to \ref DfsDefaultTraits.
 		  ///\tparam TR Traits class to set various data types used by the algorithm.
 		  ///The default traits class is
 		  ///\ref DfsDefaultTraits "DfsDefaultTraits<GR>".
 		  ///See \ref DfsDefaultTraits for the documentation of
 		  ///a Dfs traits class.
 		#ifdef DOXYGEN
 		  template <typename GR,
 		            typename TR>
 		#else
 		  template <typename GR=ListDigraph,
 		            typename TR=DfsDefaultTraits<GR> >
 		#endif
 		  class Dfs {
 		  public:
 		    /**
 		     * \brief \ref Exception for uninitialized parameters.
+		     *
 		     * This error represents problems in the initialization
 		     * of the parameters of the algorithms.
 		     */
 		    ///\ref Exception for uninitialized parameters.
 		    ///This error represents problems in the initialization of the
 		    ///parameters of the algorithm.
 		    class UninitializedParameter : public lemon::UninitializedParameter {
 		    public:
 		      virtual const char* what() const throw() {
 		        return "lemon::Dfs::UninitializedParameter";
+		      }
 		    };
 		    ///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 traits class.
 		    typedef TR Traits;
 		    ///The type of the underlying digraph.
 		    typedef typename TR::Digraph Digraph;
-		    ///\e
 		  private:
 		    typedef typename Digraph::Node Node;
 		    ///\e
 		    typedef typename Digraph::NodeIt NodeIt;
 		    ///\e
 		    typedef typename Digraph::Arc Arc;
 		    ///\e
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    ///\brief The type of the map that stores the last
 		    ///arcs of the %DFS paths.
 		    typedef typename TR::PredMap PredMap;
 		    ///The type of the map indicating which nodes are reached.
 		    typedef typename TR::ReachedMap ReachedMap;
 		    ///The type of the map indicating which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///The type of the map that stores the dists of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		  private:
-		    /// Pointer to the underlying digraph.
 		    //Pointer to the underlying digraph.
 		    const Digraph *G;
-		    ///Pointer to the map of predecessors arcs.
+		    //Pointer to the map of predecessor arcs.
 		    PredMap *_pred;
-		    ///Indicates if \ref _pred is locally allocated (\c true) or not.
 		    //Indicates if _pred is locally allocated (true) or not.
 		    bool local_pred;
-		    ///Pointer to the map of distances.
 		    //Pointer to the map of distances.
 		    DistMap *_dist;
-		    ///Indicates if \ref _dist is locally allocated (\c true) or not.
 		    //Indicates if _dist is locally allocated (true) or not.
 		    bool local_dist;
-		    ///Pointer to the map of reached status of the nodes.
 		    //Pointer to the map of reached status of the nodes.
 		    ReachedMap *_reached;
-		    ///Indicates if \ref _reached is locally allocated (\c true) or not.
 		    //Indicates if _reached is locally allocated (true) or not.
 		    bool local_reached;
-		    ///Pointer to the map of processed status of the nodes.
 		    //Pointer to the map of processed status of the nodes.
 		    ProcessedMap *_processed;
-		    ///Indicates if \ref _processed is locally allocated (\c true) or not.
 		    //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.
 		    ///\todo Better memory allocation (instead of new).
 		    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 DefPredMapTraits : public Traits {
 		      typedef T PredMap;
-		      static PredMap *createPredMap(const Digraph &G)
 		      static PredMap *createPredMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///PredMap type
+		    ///\ref PredMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting PredMap type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref PredMap type.
 		    template <class T>
 		    struct DefPredMap : public Dfs<Digraph, DefPredMapTraits<T> > {
 		      typedef Dfs<Digraph, DefPredMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct DefDistMapTraits : public Traits {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///DistMap type
+		    ///\ref DistMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting DistMap
 		    ///type
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref DistMap type.
 		    template <class T>
 		    struct DefDistMap {
+		    struct DefDistMap : public Dfs< Digraph, DefDistMapTraits<T> > {
 		      typedef Dfs<Digraph, DefDistMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct DefReachedMapTraits : public Traits {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ReachedMap type
+		    ///\ref ReachedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting ReachedMap type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref ReachedMap type.
 		    template <class T>
 		    struct DefReachedMap : public Dfs< Digraph, DefReachedMapTraits<T> > {
 		      typedef Dfs< Digraph, DefReachedMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct DefProcessedMapTraits : public Traits {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///ProcessedMap type
+		    ///\ref ProcessedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type.
 		    template <class T>
 		    struct DefProcessedMap : public Dfs< Digraph, DefProcessedMapTraits<T> > {
 		      typedef Dfs< Digraph, DefProcessedMapTraits<T> > Create;
 		    };
 		    struct DefDigraphProcessedMapTraits : public Traits {
 		      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
-		      static ProcessedMap *createProcessedMap(const Digraph &G)
+		      static ProcessedMap *createProcessedMap(const Digraph &g)
+		      {
-		        return new ProcessedMap(G);
+		        return new ProcessedMap(g);
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///
 		    ///\ref named-templ-param "Named parameter"
 		    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
-		    ///If you don't set it explicitely, it will be automatically allocated.
+		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///If you don't set it explicitly, it will be automatically allocated.
 		    template <class T>
-		    class DefProcessedMapToBeDefaultMap :
+		    struct DefProcessedMapToBeDefaultMap :
 		      public Dfs< Digraph, DefDigraphProcessedMapTraits> {
 		      typedef Dfs< Digraph, DefDigraphProcessedMapTraits> Create;
 		    };
 		    ///@}
 		  public:
 		    ///Constructor.
 		    ///\param _G the digraph the algorithm will run on.
 		    ///
 		    Dfs(const Digraph& _G) :
 		      G(&_G),
 		    ///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 storing the predecessor arcs.
+		    ///Sets the map that stores the predecessor arcs.
-		    ///Sets the map storing the predecessor arcs.
+		    ///Sets the map that stores the predecessor arcs.
 		    ///If you don't use this function before calling \ref run(),
-		    ///it will allocate one. The destuctor deallocates this
+		    ///it will allocate one. 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 storing the distances calculated by the algorithm.
+		    ///Sets the map that indicates which nodes are reached.
-		    ///Sets the map storing the distances calculated by the algorithm.
+		    ///Sets the map that indicates which nodes are reached.
 		    ///If you don't use this function before calling \ref run(),
-		    ///it will allocate one. The destuctor deallocates this
+		    ///it will allocate one. 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(),
 		    ///it will allocate one. 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(),
 		    ///it will allocate one. 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;
+		    }
-		    ///Sets the map indicating if a node is reached.
+		  public:
 		    ///Sets the map indicating if a node is reached.
 		    ///If you don't use this function before calling \ref run(),
 		    ///it will allocate one. The destuctor 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 indicating if a node is processed.
 		    ///Sets the map indicating if a node is processed.
 		    ///If you don't use this function before calling \ref run(),
 		    ///it will allocate one. The destuctor 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;
+		    }
 		  public:
 		    ///\name Execution control
 		    ///The simplest way to execute the algorithm is to use
-		    ///one of the member functions called \c run(...).
+		    ///one of the member functions called \ref lemon::Dfs::run() "run()".
 		    ///\n
 		    ///If you need more control on the execution,
 		    ///first you must call \ref init(), then you can add a source node
 		    ///with \ref addSource().
 		    ///Finally \ref start() will perform the actual path
-		    ///computation.
+		    ///If you need more control on the execution, first you must call
 		    ///\ref lemon::Dfs::init() "init()", then you can add a source node
 		    ///with \ref lemon::Dfs::addSource() "addSource()".
 		    ///Finally \ref lemon::Dfs::start() "start()" will perform the
 		    ///actual path computation.
 		    ///@{
 		    ///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);
 		        // _predNode->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.
 		    ///
 		    ///\warning dists are wrong (or at least strange)
 		    ///in case of multiple sources.
 		    ///\pre The stack must be empty. (Otherwise the algorithm gives
 		    ///false results.)
 		    ///
 		    ///\warning Distances will be wrong (or at least strange) in case of
 		    ///multiple sources.
 		    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!
+		    ///\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 INVALID if the stack is
 		    /// empty.
-		    OutArcIt nextArc()
+		    ///\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;
+		    }
 		    ///\brief Returns \c false if there are nodes
-		    ///to be processed in the queue
+		    ///to be processed.
 		    ///
 		    ///Returns \c false if there are nodes
 		    ///to be processed in the queue
 		    bool emptyQueue() { return _stack_head<0; }
 		    ///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.
 		    int queueSize() { return _stack_head+1; }
 		    ///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.
 		    ///
 		    ///\pre init() must be called and at least one node should be added
 		    ///with addSource() before using this function.
 		    ///This method runs the %DFS algorithm from the root node
 		    ///in order to compute the DFS path to each node.
 		    ///
 		    ///This method runs the %DFS algorithm from the root node(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(s) in the %DFS tree.
 		    /// 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 \c dest is reached.
+		    ///Executes the algorithm until the given target node is reached.
-		    ///Executes the algorithm until \c dest is reached.
+		    ///Executes the algorithm until the given target node is reached.
 		    ///
 		    ///\pre init() must be called and at least one node should be added
 		    ///with addSource() before using this function.
 		    ///This method runs the %DFS algorithm from the root node
 		    ///in order to compute the DFS path to \c dest.
 		    ///
 		    ///This method runs the %DFS algorithm from the root node(s)
 		    ///in order to
 		    ///compute the
 		    ///%DFS path to \c dest. The algorithm computes
 		    ///- The %DFS path to \c  dest.
 		    ///- The distance of \c dest from the root(s) in the %DFS tree.
 		    ///The algorithm computes
 		    ///- the %DFS path to \c dest,
 		    ///- the distance of \c dest 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 dest)
+		    {
 		      while ( !emptyQueue() && G->target(_stack[_stack_head])!=dest )
 		        processNextArc();
+		    }
 		    ///Executes the algorithm until a condition is met.
 		    ///Executes the algorithm until a condition is met.
 		    ///
 		    ///\pre init() must be called and at least one node should be added
 		    ///with addSource() before using this function.
 		    ///This method runs the %DFS algorithm from the root node
 		    ///until an arc \c a with <tt>am[a]</tt> true is found.
 		    ///
 		    ///\param em must be a bool (or convertible) arc map. The algorithm
 		    ///will stop when it reaches an arc \c e with <tt>em[e]</tt> true.
 		    ///\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 e with <tt>em[e]</tt> true or
+		    ///\return The reached arc \c a with <tt>am[a]</tt> true or
 		    ///\c INVALID if no such arc was found.
 		    ///
-		    ///\warning Contrary to \ref Bfs and \ref Dijkstra, \c em is an arc map,
+		    ///\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 EM>
 		    Arc start(const EM &em)
 		    template<class ArcBoolMap>
 		    Arc start(const ArcBoolMap &am)
+		    {
-		      while ( !emptyQueue() && !em[_stack[_stack_head]] )
+		      while ( !emptyQueue() && !am[_stack[_stack_head]] )
 		        processNextArc();
 		      return emptyQueue() ? INVALID : _stack[_stack_head];
+		    }
-		    ///Runs %DFS algorithm to visit all nodes in the digraph.
+		    ///Runs the algorithm from the given node.
 		    ///This method runs the %DFS algorithm 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.
+		    ///This method runs the %DFS algorithm from node \c s
 		    ///in order to compute the DFS path to each node.
 		    ///
 		    ///\note d.run() is just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  for (NodeIt it(digraph); it != INVALID; ++it) {
 		    ///    if (!d.reached(it)) {
 		    ///      d.addSource(it);
 		    ///      d.start();
 		    ///    }
 		    ///  }
 		    ///\endcode
 		    void run() {
 		      init();
 		      for (NodeIt it(*G); it != INVALID; ++it) {
 		        if (!reached(it)) {
 		          addSource(it);
 		          start();
+		        }
+		      }
+		    }
 		    ///Runs %DFS algorithm from node \c s.
 		    ///This method runs the %DFS algorithm from a root 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.
 		    ///The algorithm computes
 		    ///- the %DFS tree,
 		    ///- the distance of each node from the root in the %DFS tree.
 		    ///
 		    ///\note d.run(s) is just a shortcut of the following code.
+		    ///\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.
-		    ///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 \c t.
 		    ///
 		    ///\return The length of the %DFS s---t path if there exists one,
 		    ///0 otherwise.
-		    ///\note Apart from the return value, d.run(s,t) is
+		    ///\return The length of the <tt>s</tt>--<tt>t</tt> DFS path,
 		    ///if \c t is reachable form \c s, \c 0 otherwise.
 		    ///
 		    ///\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
 		    int run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return reached(t)?_stack_head+1:0;
+		    }
 		    ///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,
 		    ///- the distance of each node from the root 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 result of the %DFS algorithm can be obtained using these
 		    ///functions.\n
 		    ///Before the use of these functions,
 		    ///either run() or start() must be called.
 		    ///Either \ref lemon::Dfs::run() "run()" or \ref lemon::Dfs::start()
 		    ///"start()" must be called before using them.
 		    ///@{
-		    typedef PredMapPath<Digraph, PredMap> Path;
+		    ///The DFS path to a node.
-		    ///Gives back the shortest path.
+		    ///Returns the DFS path to a node.
 		    ///
 		    ///\warning \c t should be reachable from the root.
 		    ///
 		    ///\pre Either \ref run() or \ref start() must be called before
 		    ///using this function.
 		    Path path(Node t) const { return Path(*G, *_pred, t); }
 		    ///Gives back the shortest path.
 		    ///\pre The \c t should be reachable from the source.
 		    Path path(Node t)
+		    {
 		      return Path(*G, *_pred, t);
+		    }
 		    ///The distance of a node from the root.
 		    ///The distance of a node from the root(s).
 		    ///Returns the distance of a node from the root(s).
 		    ///\pre \ref run() must be called before using this function.
 		    ///\warning If node \c v is unreachable from the root(s) then the return
 		    ///value of this funcion is undefined.
 		    ///Returns the distance of a node from the root.
 		    ///
 		    ///\warning If node \c v is not reachable from the root, then
 		    ///the return value of this function is undefined.
 		    ///
 		    ///\pre Either \ref run() or \ref start() must be called before
 		    ///using this function.
 		    int dist(Node v) const { return (*_dist)[v]; }
 		    ///Returns the 'previous arc' of the %DFS tree.
+		    ///Returns the 'previous arc' of the %DFS tree for a node.
 		    ///For a node \c v it returns the 'previous arc'
 		    ///of the %DFS path,
 		    ///i.e. it returns the last arc of a %DFS path from the root(s) to \c
 		    ///v. It is \ref INVALID
 		    ///if \c v is unreachable from the root(s) or \c v is a root. The
 		    ///%DFS tree used here is equal to the %DFS tree used in
 		    ///This function returns the 'previous arc' of the %DFS tree for the
 		    ///node \c v, i.e. it returns the last arc of a %DFS path from the
 		    ///root to \c v. It is \c INVALID
 		    ///if \c v is not reachable from the root(s) or if \c v is a root.
 		    ///
 		    ///The %DFS tree used here is equal to the %DFS tree used in
 		    ///\ref predNode().
 		    ///
 		    ///\pre Either \ref run() or \ref start() must be called before using
 		    ///this function.
 		    Arc predArc(Node v) const { return (*_pred)[v];}
 		    ///Returns the 'previous node' of the %DFS tree.
 		    ///For a node \c v it returns the 'previous node'
 		    ///of the %DFS tree,
 		    ///i.e. it returns the last but one node from a %DFS path from the
 		    ///root(s) to \c v.
 		    ///It is INVALID if \c v is unreachable from the root(s) or
 		    ///if \c v itself a root.
 		    ///The %DFS tree used here is equal to the %DFS
 		    ///tree used in \ref predArc().
 		    ///This function returns the 'previous node' of the %DFS
 		    ///tree for the node \c v, i.e. it returns the last but one node
 		    ///from a %DFS path from the root to \c v. It is \c INVALID
 		    ///if \c v is not reachable from the root(s) or if \c v is a root.
 		    ///
 		    ///The %DFS tree used here is equal to the %DFS tree used in
 		    ///\ref predArc().
 		    ///
 		    ///\pre Either \ref run() or \ref start() must be called before
 		    ///using this function.
 		    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
 		                                  G->source((*_pred)[v]); }
 		    ///Returns a reference to the NodeMap of distances.
 		    ///Returns a reference to the NodeMap of distances.
 		    ///\pre Either \ref run() or \ref init() must
-		    ///be called before using this function.
+		    ///\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() or \ref init()
 		    ///must be called before using this function.
 		    const DistMap &distMap() const { return *_dist;}
 		    ///Returns a reference to the %DFS arc-tree map.
 		    ///Returns a reference to the NodeMap of the arcs of the
 		    ///%DFS tree.
 		    ///\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 DFS tree.
 		    ///
 		    ///\pre Either \ref run() or \ref init()
 		    ///must be called before using this function.
 		    const PredMap &predMap() const { return *_pred;}
 		    ///Checks if a node is reachable from the root.
+		    ///Checks if a node is reachable from the root(s).
 		    ///Returns \c true if \c v is reachable from the root(s).
 		    ///\warning The source nodes are inditated as unreachable.
 		    ///\pre Either \ref run() or \ref start()
 		    ///must be called before using this function.
 		    ///
 		    bool reached(Node v) { return (*_reached)[v]; }
 		    bool reached(Node v) const { return (*_reached)[v]; }
 		    ///@}
 		  };
-		  ///Default traits class of Dfs function.
+		  ///Default traits class of dfs() function.
-		  ///Default traits class of Dfs function.
+		  ///Default traits class of dfs() function.
 		  ///\tparam GR Digraph type.
 		  template<class GR>
 		  struct DfsWizardDefaultTraits
+		  {
-		    ///The digraph type the algorithm runs on.
+		    ///The type of the digraph the algorithm runs on.
 		    typedef GR Digraph;
-		    ///\brief The type of the map that stores the last
 		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///
-		    ///The type of the map that stores the last
+		    ///The type of the map that stores the predecessor
 		    ///arcs of the %DFS paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///
 		    typedef NullMap<typename Digraph::Node,typename GR::Arc> PredMap;
 		    ///Instantiates a PredMap.
 		    typedef NullMap<typename Digraph::Node,typename Digraph::Arc> PredMap;
 		    ///Instantiates a \ref PredMap.
 		    ///This function instantiates a \ref PredMap.
-		    ///\param g is the digraph, to which we would like to define the PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref PredMap.
 		    ///\todo The digraph alone may be insufficient to initialize
 		#ifdef DOXYGEN
-		    static PredMap *createPredMap(const GR &g)
+		    static PredMap *createPredMap(const Digraph &g)
 		#else
-		    static PredMap *createPredMap(const GR &)
+		    static PredMap *createPredMap(const Digraph &)
 		#endif
+		    {
 		      return new PredMap();
+		    }
 		    ///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.
 		    ///\todo named parameter to set this type, function to read and write.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
+		    ///Instantiates a \ref ProcessedMap.
 		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ProcessedMap
+		    ///we would like to define the \ref ProcessedMap.
 		#ifdef DOXYGEN
-		    static ProcessedMap *createProcessedMap(const GR &g)
+		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
-		    static ProcessedMap *createProcessedMap(const GR &)
+		    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::WriteMap "WriteMap" concept.
 		    ///\todo named parameter to set this type, function to read and write.
 		    ///It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    ///Instantiates a ReachedMap.
+		    ///Instantiates a \ref ReachedMap.
 		    ///This function instantiates a \ref ReachedMap.
-		    ///\param G is the digraph, to which
+		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ReachedMap.
-		    static ReachedMap *createReachedMap(const GR &G)
+		    static ReachedMap *createReachedMap(const Digraph &g)
+		    {
-		      return new ReachedMap(G);
+		      return new ReachedMap(g);
+		    }
 		    ///The type of the map that stores the dists of the nodes.
-		    ///The type of the map that stores the dists of the nodes.
+		    ///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 NullMap<typename Digraph::Node,int> DistMap;
 		    ///Instantiates a DistMap.
+		    ///Instantiates a \ref DistMap.
 		    ///This function instantiates a \ref DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the \ref DistMap
 		#ifdef DOXYGEN
-		    static DistMap *createDistMap(const GR &g)
+		    static DistMap *createDistMap(const Digraph &g)
 		#else
-		    static DistMap *createDistMap(const GR &)
+		    static DistMap *createDistMap(const Digraph &)
 		#endif
+		    {
 		      return new DistMap();
+		    }
 		  };
 		  /// Default traits used by \ref DfsWizard
+		  /// Default traits class used by \ref 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:
-		    /// Type of the nodes in the digraph.
+		    //The type of the nodes in the digraph.
 		    typedef typename Base::Digraph::Node Node;
-		    /// Pointer to the underlying digraph.
+		    //Pointer to the digraph the algorithm runs on.
 		    void *_g;
-		    ///Pointer to the map of reached nodes.
 		    //Pointer to the map of reached nodes.
 		    void *_reached;
-		    ///Pointer to the map of processed nodes.
 		    //Pointer to the map of processed nodes.
 		    void *_processed;
-		    ///Pointer to the map of predecessors arcs.
 		    //Pointer to the map of predecessors arcs.
 		    void *_pred;
-		    ///Pointer to the map of distances.
 		    //Pointer to the map of distances.
 		    void *_dist;
-		    ///Pointer to the source node.
 		    //Pointer to the source node.
 		    Node _source;
 		    public:
 		    /// Constructor.
 		    /// This constructor does not require parameters, therefore it initiates
 		    /// all of the attributes to default values (0, INVALID).
 		    DfsWizardBase() : _g(0), _reached(0), _processed(0), _pred(0),
 		                           _dist(0), _source(INVALID) {}
 		    /// Constructor.
 		    /// This constructor requires some parameters,
 		    /// listed in the parameters list.
 		    /// Others are initiated to 0.
 		    /// \param g is the initial value of  \ref _g
 		    /// \param s is the initial value of  \ref _source
 		    /// \param g The digraph the algorithm runs on.
 		    /// \param s The source node.
 		    DfsWizardBase(const GR &g, Node s=INVALID) :
 		      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
 		      _reached(0), _processed(0), _pred(0), _dist(0), _source(s) {}
 		  };
-		  /// A class to make the usage of the Dfs algorithm easier
+		  /// Auxiliary class for the function type interface of DFS algorithm.
 		  /// This class is created to make it easier to use the Dfs algorithm.
 		  /// It uses the functions and features of the plain \ref Dfs,
-		  /// but it is much simpler to use it.
+		  /// This auxiliary class is created to implement the function type
 		  /// interface of \ref Dfs algorithm. It uses the functions and features
 		  /// of the plain \ref Dfs, but it is much simpler to use it.
 		  /// It should only be used through the \ref dfs() function, which makes
 		  /// it easier to use the algorithm.
 		  ///
 		  /// Simplicity means that the way to change the types defined
 		  /// in the traits class is based on functions that returns the new class
 		  /// and not on templatable built-in classes.
 		  /// When using the plain \ref Dfs
 		  /// the new class with the modified type comes from
 		  /// the original class by using the ::
 		  /// operator. In the case of \ref DfsWizard only
 		  /// a function have to be called and it will
+		  /// a function have to be called, and it will
 		  /// return the needed class.
 		  ///
 		  /// It does not have own \ref run method. When its \ref run method is called
 		  /// it initiates a plain \ref Dfs object, and calls the \ref Dfs::run
-		  /// method of it.
+		  /// It does not have own \ref run() method. When its \ref run() method
 		  /// is called, it initiates a plain \ref Dfs object, and calls the
 		  /// \ref Dfs::run() method of it.
 		  template<class TR>
 		  class DfsWizard : public TR
+		  {
 		    typedef TR Base;
-		    ///The type of the underlying digraph.
+		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
-		    //\e
 		    typedef typename Digraph::Node Node;
 		    //\e
 		    typedef typename Digraph::NodeIt NodeIt;
 		    //\e
 		    typedef typename Digraph::Arc Arc;
 		    //\e
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    ///\brief The type of the map that stores
 		    ///the reached nodes
 		    ///\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 stores
 		    ///the processed nodes
 		    ///\brief The type of the map that indicates which nodes are processed.
 		    typedef typename TR::ProcessedMap ProcessedMap;
 		    ///\brief The type of the map that stores the last
 		    ///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;
 		  public:
 		    /// Constructor.
 		    DfsWizard() : TR() {}
 		    /// Constructor that requires parameters.
 		    /// Constructor that requires parameters.
 		    /// These parameters will be the default values for the traits class.
 		    DfsWizard(const Digraph &g, Node s=INVALID) :
 		      TR(g,s) {}
 		    ///Copy constructor
 		    DfsWizard(const TR &b) : TR(b) {}
 		    ~DfsWizard() {}
-		    ///Runs Dfs algorithm from a given node.
+		    ///Runs DFS algorithm from a source node.
 		    ///Runs Dfs algorithm from a given node.
 		    ///The node can be given by the \ref source function.
 		    ///Runs DFS algorithm from a source node.
 		    ///The node can be given with the \ref source() function.
 		    void run()
+		    {
 		      if(Base::_source==INVALID) throw UninitializedParameter();
 		      Dfs<Digraph,TR> alg(*reinterpret_cast<const Digraph*>(Base::_g));
 		      if(Base::_reached)
 		        alg.reachedMap(*reinterpret_cast<ReachedMap*>(Base::_reached));
 		      if(Base::_processed)
 		        alg.processedMap(*reinterpret_cast<ProcessedMap*>(Base::_processed));
 		      if(Base::_pred)
 		        alg.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
 		      if(Base::_dist)
 		        alg.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
 		      alg.run(Base::_source);
+		    }
-		    ///Runs Dfs algorithm from the given node.
+		    ///Runs DFS algorithm from the given node.
-		    ///Runs Dfs algorithm from the given node.
+		    ///Runs DFS algorithm from the given node.
 		    ///\param s is the given source.
 		    void run(Node s)
+		    {
 		      Base::_source=s;
 		      run();
+		    }
 		    /// Sets the source node, from which the Dfs algorithm runs.
 		    /// Sets the source node, from which the Dfs algorithm runs.
 		    /// \param s is the source node.
 		    DfsWizard<TR> &source(Node s)
+		    {
 		      Base::_source=s;
 		      return *this;
+		    }
 		    template<class T>
 		    struct DefPredMapBase : public Base {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &) { return 0; };
 		      DefPredMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
-		    ///function for setting PredMap type
+		    ///for setting \ref PredMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting PredMap type
 		    ///
 		    ///for setting \ref PredMap object.
 		    template<class T>
 		    DfsWizard<DefPredMapBase<T> > predMap(const T &t)
+		    {
 		      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DfsWizard<DefPredMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefReachedMapBase : public Base {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &) { return 0; };
 		      DefReachedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
-		    ///function for setting ReachedMap
+		    ///for setting \ref ReachedMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting ReachedMap
 		    ///
 		    ///for setting \ref ReachedMap object.
 		    template<class T>
 		    DfsWizard<DefReachedMapBase<T> > reachedMap(const T &t)
+		    {
 		      Base::_reached=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DfsWizard<DefReachedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefProcessedMapBase : public Base {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
 		      DefProcessedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
-		    ///function for setting ProcessedMap
+		    ///for setting \ref ProcessedMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting ProcessedMap
 		    ///
 		    ///for setting \ref ProcessedMap object.
 		    template<class T>
 		    DfsWizard<DefProcessedMapBase<T> > processedMap(const T &t)
+		    {
 		      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DfsWizard<DefProcessedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefDistMapBase : public Base {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &) { return 0; };
 		      DefDistMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
-		    ///function for setting DistMap type
+		    ///for setting \ref DistMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting DistMap type
 		    ///
 		    ///for setting \ref DistMap object.
 		    template<class T>
 		    DfsWizard<DefDistMapBase<T> > distMap(const T &t)
+		    {
 		      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DfsWizard<DefDistMapBase<T> >(*this);
+		    }
 		    /// Sets the source node, from which the Dfs algorithm runs.
 		    /// Sets the source node, from which the Dfs algorithm runs.
 		    /// \param s is the source node.
 		    DfsWizard<TR> &source(Node s)
+		    {
 		      Base::_source=s;
 		      return *this;
+		    }
 		  };
 		  ///Function type interface for Dfs algorithm.
 		  ///\ingroup search
 		  ///Function type interface for Dfs algorithm.
 		  ///
 		  ///This function also has several
 		  ///\ref named-templ-func-param "named parameters",
 		  ///they are declared as the members of class \ref DfsWizard.
 		  ///The following
 		  ///example shows how to use these parameters.
 		  ///\code
 		  ///  dfs(g,source).predMap(preds).run();
 		  ///\endcode
 		  ///\warning Don't forget to put the \ref DfsWizard::run() "run()"
 		  ///to the end of the parameter list.
 		  ///\sa DfsWizard
 		  ///\sa Dfs
 		  template<class GR>
 		  DfsWizard<DfsWizardBase<GR> >
 		  dfs(const GR &g,typename GR::Node s=INVALID)
+		  {
 		    return DfsWizard<DfsWizardBase<GR> >(g,s);
+		  }
 		#ifdef DOXYGEN
-		  /// \brief Visitor class for dfs.
+		  /// \brief Visitor class for DFS.
 		  ///
 		  /// It gives a simple interface for a functional interface for dfs
 		  /// traversal. The traversal on a linear data structure.
 		  /// This class defines the interface of the DfsVisit events, and
 		  /// it could be the base of a real visitor class.
 		  template <typename _Digraph>
 		  struct DfsVisitor {
 		    typedef _Digraph Digraph;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::Node Node;
-		    /// \brief Called when the arc reach a node.
+		    /// \brief Called for the source node of the DFS.
 		    ///
 		    /// It is called when the dfs find an arc which target is not
 		    /// reached yet.
 		    /// 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 the node reached first time.
 		    ///
 		    /// It is Called when the node reached first time.
 		    void reach(const Node& node) {}
 		    /// \brief Called when we step back on an arc.
 		    ///
 		    /// It is called when the dfs should step back on the arc.
 		    void backtrack(const Arc& arc) {}
 		    /// \brief Called when we step back from the node.
 		    ///
 		    /// It is called when we step back from the node.
 		    void leave(const Node& node) {}
-		    /// \brief Called when the arc examined but target of the arc
+		    /// \brief Called when an arc is examined but its target node is
 		    /// already discovered.
 		    ///
-		    /// It called when the arc examined but the target of the arc
+		    /// This function is called when an arc is examined but its target node is
 		    /// already discovered.
 		    void examine(const Arc& arc) {}
-		    /// \brief Called for the source node of the dfs.
+		    /// \brief Called when the DFS steps back from a node.
 		    ///
 		    /// It is called for the source node of the dfs.
 		    void start(const Node& node) {}
-		    /// \brief Called when we leave the source node of the dfs.
+		    /// 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.
 		    ///
 		    /// It is called when we leave the source node of the dfs.
 		    void stop(const Node& node) {}
+		    /// This function is called when the DFS steps back on an arc.
 		    void backtrack(const Arc& arc) {}
 		  };
 		#else
 		  template <typename _Digraph>
 		  struct DfsVisitor {
 		    typedef _Digraph Digraph;
 		    typedef typename Digraph::Arc Arc;
 		    typedef typename Digraph::Node Node;
 		    void discover(const Arc&) {}
 		    void reach(const Node&) {}
 		    void backtrack(const Arc&) {}
 		    void leave(const Node&) {}
 		    void examine(const Arc&) {}
 		    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.discover(arc);
 		        visitor.reach(node);
 		        visitor.backtrack(arc);
 		        visitor.leave(node);
 		        visitor.examine(arc);
 		        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 Digraph type.
+		  /// \tparam _Digraph The type of the digraph the algorithm runs on.
 		  template<class _Digraph>
 		  struct DfsVisitDefaultTraits {
-		    /// \brief The digraph type the algorithm runs on.
+		    /// \brief The type of the digraph the algorithm runs on.
 		    typedef _Digraph 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::WriteMap "WriteMap" concept.
 		    /// \todo named parameter to set this type, function to read and write.
 		    /// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept.
 		    typedef typename Digraph::template NodeMap<bool> ReachedMap;
 		    /// \brief Instantiates a ReachedMap.
+		    /// \brief Instantiates a \ref ReachedMap.
 		    ///
 		    /// This function instantiates a \ref ReachedMap.
 		    /// \param digraph is the digraph, to which
 		    /// we would like to define the \ref ReachedMap.
 		    static ReachedMap *createReachedMap(const Digraph &digraph) {
 		      return new ReachedMap(digraph);
+		    }
 		  };
 		  /// %DFS Visit algorithm class.
 		  /// \ingroup search
 		  ///
 		  /// \brief %DFS algorithm class with visitor interface.
 		  ///
 		  /// This class provides an efficient implementation of the %DFS algorithm
 		  /// with visitor interface.
 		  ///
 		  /// The %DfsVisit class provides an alternative interface to the Dfs
 		  /// class. It works with callback mechanism, the DfsVisit object calls
-		  /// on every dfs event the \c Visitor class member functions.
+		  /// the member functions of the \c Visitor class on every DFS event.
 		  ///
-		  /// \tparam _Digraph The digraph type the algorithm runs on.
+		  /// \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 Dfs, it
 		  /// is only passed to \ref DfsDefaultTraits.
 		  /// \tparam _Visitor The Visitor object for the algorithm. The
 		  /// \ref DfsVisitor "DfsVisitor<_Digraph>" 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.
 		  /// \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
 		  /// 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
 		  /// algorithm. The default traits class is
 		  /// \ref DfsVisitDefaultTraits "DfsVisitDefaultTraits<_Digraph>".
 		  /// See \ref DfsVisitDefaultTraits for the documentation of
 		  /// a Dfs visit traits class.
 		  ///
-		  /// \author Jacint Szabo, Alpar Juttner and Balazs Dezso
+		  /// a DFS visit traits class.
 		#ifdef DOXYGEN
 		  template <typename _Digraph, typename _Visitor, typename _Traits>
 		#else
 		  template <typename _Digraph = ListDigraph,
 		            typename _Visitor = DfsVisitor<_Digraph>,
 		            typename _Traits = DfsDefaultTraits<_Digraph> >
 		#endif
 		  class DfsVisit {
 		  public:
 		    /// \brief \ref Exception for uninitialized parameters.
 		    ///
 		    /// This error represents problems in the initialization
-		    /// of the parameters of the algorithms.
+		    /// of the parameters of the algorithm.
 		    class UninitializedParameter : public lemon::UninitializedParameter {
 		    public:
 		      virtual const char* what() const throw()
+		      {
 		        return "lemon::DfsVisit::UninitializedParameter";
+		      }
 		    };
 		    ///The traits class.
 		    typedef _Traits 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;
-		    ///The type of the map indicating which nodes are reached.
+		    ///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.
 		    //Pointer to the underlying digraph.
 		    const Digraph *_digraph;
-		    /// Pointer to the visitor object.
 		    //Pointer to the visitor object.
 		    Visitor *_visitor;
-		    ///Pointer to the map of reached status of the nodes.
 		    //Pointer to the map of reached status of the nodes.
 		    ReachedMap *_reached;
-		    ///Indicates if \ref _reached is locally allocated (\c true) or not.
 		    //Indicates if _reached is locally allocated (true) or not.
 		    bool local_reached;
 		    std::vector<typename Digraph::Arc> _stack;
 		    int _stack_head;
 		    /// \brief Creates the maps if necessary.
 		    ///
 		    /// Creates the maps if necessary.
 		    ///\todo Better memory allocation (instead of new).
 		    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 DefReachedMapTraits : public Traits {
 		      typedef T ReachedMap;
 		      static ReachedMap *createReachedMap(const Digraph &digraph) {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// ReachedMap type
+		    /// ReachedMap type.
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting ReachedMap type
+		    /// \ref named-templ-param "Named parameter" for setting ReachedMap type.
 		    template <class T>
 		    struct DefReachedMap : public DfsVisit< Digraph, Visitor,
 		                                            DefReachedMapTraits<T> > {
 		      typedef DfsVisit< Digraph, Visitor, DefReachedMapTraits<T> > Create;
 		    };
 		    ///@}
 		  public:
 		    /// \brief Constructor.
 		    ///
 		    /// Constructor.
 		    ///
 		    /// \param digraph the digraph the algorithm will run on.
 		    /// \param visitor The visitor of the algorithm.
 		    ///
+		    /// \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.
 		    ///
 		    /// Destructor.
 		    ~DfsVisit() {
 		      if(local_reached) delete _reached;
+		    }
-		    /// \brief Sets the map indicating if a node is reached.
+		    /// \brief Sets the map that indicates which nodes are reached.
 		    ///
-		    /// Sets the map indicating if a node is reached.
+		    /// Sets the map that indicates which nodes are reached.
 		    /// If you don't use this function before calling \ref run(),
-		    /// it will allocate one. The destuctor deallocates this
+		    /// it will allocate one. 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 algorithm is to use
-		    /// one of the member functions called \c run(...).
+		    /// one of the member functions called \ref lemon::DfsVisit::run()
 		    /// "run()".
 		    /// \n
 		    /// If you need more control on the execution,
 		    /// first you must call \ref init(), then you can adda source node
 		    /// with \ref addSource().
 		    /// Finally \ref start() will perform the actual path
-		    /// computation.
+		    /// If you need more control on the execution, first you must call
 		    /// \ref lemon::DfsVisit::init() "init()", then you can add several
 		    /// source nodes with \ref lemon::DfsVisit::addSource() "addSource()".
 		    /// Finally \ref lemon::DfsVisit::start() "start()" will perform the
 		    /// actual path computation.
 		    /// @{
 		    /// \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.
 		    ///Adds a new source node to the set of nodes to be processed.
 		    ///
 		    /// Adds a new source node to the set of nodes to be processed.
 		    void addSource(Node s) {
 		    ///\pre The stack must be empty. (Otherwise the algorithm gives
 		    ///false results.)
 		    ///
 		    ///\warning Distances will be wrong (or at least strange) in case of
 		    ///multiple sources.
 		    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);
+		          }
+		        }
+		    }
 		    /// \brief Processes the next arc.
 		    ///
 		    /// Processes the next arc.
 		    ///
 		    /// \return The processed arc.
 		    ///
-		    /// \pre The stack must not be empty!
+		    /// \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() {
+		    Arc nextArc() const {
 		      return _stack_head >= 0 ? _stack[_stack_head] : INVALID;
+		    }
 		    /// \brief Returns \c false if there are nodes
-		    /// to be processed in the queue
+		    /// to be processed.
 		    ///
 		    /// Returns \c false if there are nodes
 		    /// to be processed in the queue
 		    bool emptyQueue() { return _stack_head < 0; }
 		    /// 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.
 		    int queueSize() { return _stack_head + 1; }
 		    /// 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.
 		    ///
 		    /// \pre init() must be called and at least one node should be added
 		    /// with addSource() before using this function.
 		    /// 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 \c dest is reached.
+		    /// \brief Executes the algorithm until the given target node is reached.
 		    ///
-		    /// Executes the algorithm until \c dest is reached.
+		    /// Executes the algorithm until the given target node is reached.
 		    ///
-		    /// \pre init() must be called and at least one node should be added
+		    /// This method runs the %DFS algorithm from the root node
 		    /// in order to compute the DFS path to \c dest.
 		    ///
 		    /// The algorithm computes
 		    /// - the %DFS path to \c dest,
 		    /// - the distance of \c dest 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 dest) {
 		      while ( !emptyQueue() && _digraph->target(_stack[_stack_head]) != dest )
 		        processNextArc();
+		    }
 		    /// \brief Executes the algorithm until a condition is met.
 		    ///
 		    /// Executes the algorithm until a condition is met.
 		    ///
-		    /// \pre init() must be called and at least one node should be added
+		    /// 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.
 		    ///
 		    /// \param em must be a bool (or convertible) arc map. The algorithm
 		    /// will stop when it reaches an arc \c e with <tt>em[e]</tt> true.
 		    ///
 		    ///\return The reached arc \c e with <tt>em[e]</tt> true or
 		    ///\c INVALID if no such arc was found.
 		    ///
-		    /// \warning Contrary to \ref Bfs and \ref Dijkstra, \c em is an arc map,
+		    /// \warning Contrary to \ref Bfs and \ref Dijkstra, \c am is an arc map,
 		    /// not a node map.
 		    template <typename EM>
 		    Arc start(const EM &em) {
-		      while ( !emptyQueue() && !em[_stack[_stack_head]] )
+		    template <typename AM>
 		    Arc start(const AM &am) {
 		      while ( !emptyQueue() && !am[_stack[_stack_head]] )
 		        processNextArc();
 		      return emptyQueue() ? INVALID : _stack[_stack_head];
+		    }
-		    /// \brief Runs %DFSVisit algorithm from node \c s.
+		    /// \brief Runs the algorithm from the given node.
 		    ///
 		    /// This method runs the %DFS algorithm from a root node \c s.
 		    /// \note d.run(s) is just a shortcut of the following code.
 		    /// 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 Runs %DFSVisit algorithm to visit all nodes in the digraph.
+		    /// \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 \c t.
 		    ///
 		    /// \return The length of the <tt>s</tt>--<tt>t</tt> DFS path,
 		    /// if \c t is reachable form \c s, \c 0 otherwise.
 		    ///
 		    /// \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
 		    int run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return reached(t)?_stack_head+1:0;
+		    }
 		    /// \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.
-		    /// - The distance of each node from the root in the %DFS tree.
+		    /// compute the %DFS path to each node.
 		    ///
-		    ///\note d.run() is just a shortcut of the following code.
+		    /// The algorithm computes
 		    /// - the %DFS tree,
 		    /// - the distance of each node from the root in the %DFS tree.
 		    ///
 		    /// \note <tt>d.run()</tt> is just a shortcut of the following code.
 		    ///\code
 		    ///  d.init();
 		    ///  for (NodeIt it(digraph); it != INVALID; ++it) {
 		    ///    if (!d.reached(it)) {
-		    ///      d.addSource(it);
+		    ///   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 result of the %DFS algorithm can be obtained using these
 		    /// functions.\n
 		    /// Before the use of these functions,
 		    /// either run() or start() must be called.
 		    /// Either \ref lemon::DfsVisit::run() "run()" or
 		    /// \ref lemon::DfsVisit::start() "start()" must be called before
 		    /// using them.
 		    ///@{
-		    /// \brief Checks if a node is reachable from the root.
 		    /// \brief Checks if a node is reachable from the root(s).
 		    ///
 		    /// Returns \c true if \c v is reachable from the root(s).
 		    /// \warning The source nodes are inditated as unreachable.
 		    /// \pre Either \ref run() or \ref start()
 		    /// must be called before using this function.
 		    ///
 		    bool reached(Node v) { 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) 2003-2008
 		 * 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/bits/invalid.h>
 		#include <lemon/error.h>
 		#include <lemon/maps.h>
 		namespace lemon {
-		  /// \brief Default OperationTraits for the Dijkstra algorithm class.
+		  /// \brief Default operation traits for the Dijkstra algorithm class.
 		  ///
 		  /// It defines all computational operations and constants which are
 		  /// used in the Dijkstra algorithm.
 		  /// 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 less than the second.
+		    /// \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;
+		    }
 		  };
-		  /// \brief Widest path OperationTraits for the Dijkstra algorithm class.
+		  /// \brief Widest path operation traits for the Dijkstra algorithm class.
 		  ///
 		  /// It defines all computational operations and constants which are
 		  /// used in the Dijkstra algorithm for widest path computation.
 		  /// This operation traits class defines all computational operations and
 		  /// constants which are used in the Dijkstra algorithm for widest path
 		  /// computation.
 		  ///
 		  /// \see DijkstraDefaultOperationTraits
 		  template <typename Value>
 		  struct DijkstraWidestPathOperationTraits {
 		    /// \brief Gives back the maximum value of the type.
 		    static Value zero() {
 		      return std::numeric_limits<Value>::max();
+		    }
 		    /// \brief Gives back the minimum of the given two elements.
 		    static Value plus(const Value& left, const Value& right) {
 		      return std::min(left, right);
+		    }
 		    /// \brief Gives back true only if the first value less than the second.
+		    /// \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 Digraph type.
 		  ///\tparam LM Type of length map.
 		  ///\tparam GR The type of the digraph.
 		  ///\tparam LM The type of the length map.
 		  template<class GR, class LM>
 		  struct DijkstraDefaultTraits
+		  {
-		    ///The digraph type the algorithm runs on.
+		    ///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.
+		    ///The type of the length of the arcs.
 		    typedef typename LM::Value Value;
 		    /// Operation traits for Dijkstra algorithm.
-		    /// It defines the used operation by the algorithm.
+		    /// This class defines the operations that are used in the algorithm.
 		    /// \see DijkstraDefaultOperationTraits
 		    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
 		    /// The cross reference type used by heap.
 		    /// The cross reference type used by the heap.
 		    /// The cross reference type used by 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 HeapCrossRef.
+		    ///Instantiates a \ref HeapCrossRef.
 		    ///This function instantiates a \c HeapCrossRef.
 		    /// \param G is the digraph, to which we would like to define the
 		    /// HeapCrossRef.
 		    static HeapCrossRef *createHeapCrossRef(const GR &G)
 		    ///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);
+		      return new HeapCrossRef(g);
+		    }
 		    ///The heap type used by Dijkstra algorithm.
+		    ///The heap type used by the Dijkstra algorithm.
 		    ///The heap type used by 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.
-		    static Heap *createHeap(HeapCrossRef& R)
+		    ///This function instantiates a \ref Heap.
 		    static Heap *createHeap(HeapCrossRef& r)
+		    {
-		      return new Heap(R);
+		      return new Heap(r);
+		    }
-		    ///\brief The type of the map that stores the last
+		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
-		    ///The type of the map that stores the last
+		    ///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 GR::Arc> PredMap;
-		    ///Instantiates a PredMap.
+		    typedef typename Digraph::template NodeMap<typename Digraph::Arc> PredMap;
 		    ///Instantiates a \ref PredMap.
 		    ///This function instantiates a \c PredMap.
 		    ///\param G is the digraph, to which we would like to define the PredMap.
 		    ///This function instantiates a \ref PredMap.
 		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref PredMap.
 		    ///\todo The digraph alone may be insufficient for the initialization
-		    static PredMap *createPredMap(const GR &G)
+		    static PredMap *createPredMap(const Digraph &g)
+		    {
-		      return new PredMap(G);
+		      return new PredMap(g);
+		    }
-		    ///The type of the map that stores whether a nodes is processed.
+		    ///The type of the map that indicates which nodes are processed.
-		    ///The type of the map that stores whether a nodes is 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.
 		    ///\todo If it is set to a real map,
 		    ///Dijkstra::processed() should read this.
 		    ///\todo named parameter to set this type, function to read and write.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
+		    ///Instantiates a \ref ProcessedMap.
-		    ///This function instantiates a \c ProcessedMap.
+		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
-		    ///we would like to define the \c ProcessedMap
+		    ///we would like to define the \ref ProcessedMap
 		#ifdef DOXYGEN
-		    static ProcessedMap *createProcessedMap(const GR &g)
+		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
-		    static ProcessedMap *createProcessedMap(const GR &)
+		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that stores the dists of the nodes.
-		    ///The type of the map that stores the dists of the nodes.
+		    ///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 \ref DistMap.
 		    ///This function instantiates a \ref DistMap.
-		    ///\param G is the digraph, to which we would like to define
+		    ///\param g is the digraph, to which we would like to define
 		    ///the \ref DistMap
-		    static DistMap *createDistMap(const GR &G)
+		    static DistMap *createDistMap(const Digraph &g)
+		    {
-		      return new DistMap(G);
+		      return new DistMap(g);
+		    }
 		  };
 		  ///%Dijkstra algorithm class.
 		  /// \ingroup shortest_path
 		  ///This class provides an efficient implementation of %Dijkstra algorithm.
+		  ///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.
 		  ///
 		  ///\tparam GR The digraph type the algorithm runs on. The default value
 		  ///is \ref ListDigraph. The value of GR is not used directly by
 		  ///Dijkstra, it is only passed to \ref DijkstraDefaultTraits.
 		  ///\tparam LM This read-only ArcMap determines the lengths of the
 		  ///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 value is \ref ListDigraph.
 		  ///The value of GR is not used directly by \ref Dijkstra, it is only
 		  ///passed to \ref DijkstraDefaultTraits.
 		  ///\tparam LM A readable arc map that determines 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 length if
+		  ///relatively time consuming process to compute the arc lengths if
 		  ///it is necessary. The default map type is \ref
 		  ///concepts::Digraph::ArcMap "Digraph::ArcMap<int>".  The value
 		  ///of LM is not used directly by Dijkstra, it is only passed to \ref
 		  ///DijkstraDefaultTraits.
 		  ///\tparam TR Traits class to set
 		  ///various data types used by the algorithm.  The default traits
 		  ///class is \ref DijkstraDefaultTraits
 		  ///"DijkstraDefaultTraits<GR,LM>".  See \ref
 		  ///DijkstraDefaultTraits for the documentation of a Dijkstra traits
 		  ///class.
 		  ///concepts::Digraph::ArcMap "Digraph::ArcMap<int>".
 		  ///The value of LM is not used directly by \ref Dijkstra, it is only
 		  ///passed to \ref DijkstraDefaultTraits.
 		  ///\tparam TR Traits class to set various data types used by the algorithm.
 		  ///The default traits class is \ref DijkstraDefaultTraits
 		  ///"DijkstraDefaultTraits<GR,LM>". See \ref DijkstraDefaultTraits
 		  ///for the documentation of a Dijkstra traits class.
 		#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:
 		    /**
 		     * \brief \ref Exception for uninitialized parameters.
+		     *
 		     * This error represents problems in the initialization
 		     * of the parameters of the algorithms.
 		     */
 		    ///\ref Exception for uninitialized parameters.
 		    ///This error represents problems in the initialization of the
 		    ///parameters of the algorithm.
 		    class UninitializedParameter : public lemon::UninitializedParameter {
 		    public:
 		      virtual const char* what() const throw() {
 		        return "lemon::Dijkstra::UninitializedParameter";
+		      }
 		    };
 		    typedef TR Traits;
 		    ///The type of the underlying digraph.
 		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
 		    ///\e
 		    typedef typename Digraph::Node Node;
 		    ///\e
 		    typedef typename Digraph::NodeIt NodeIt;
 		    ///\e
 		    typedef typename Digraph::Arc Arc;
 		    ///\e
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    ///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 last
 		    ///arcs of the shortest paths.
 		    ///\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 indicating if a node is processed.
+		    ///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 map that stores the dists of the nodes.
 		    typedef typename TR::DistMap DistMap;
 		    ///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 dijkstra algorithm.
 		    ///The heap type used by the algorithm.
 		    typedef typename TR::Heap Heap;
 		    ///The operation traits.
+		    ///The operation traits class.
 		    typedef typename TR::OperationTraits OperationTraits;
 		    ///The traits class.
 		    typedef TR Traits;
 		  private:
-		    /// Pointer to the underlying digraph.
 		    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
+		    //Pointer to the length map.
 		    const LengthMap *length;
-		    ///Pointer to the map of predecessors arcs.
 		    //Pointer to the map of predecessors arcs.
 		    PredMap *_pred;
-		    ///Indicates if \ref _pred is locally allocated (\c true) or not.
 		    //Indicates if _pred is locally allocated (true) or not.
 		    bool local_pred;
-		    ///Pointer to the map of distances.
 		    //Pointer to the map of distances.
 		    DistMap *_dist;
-		    ///Indicates if \ref _dist is locally allocated (\c true) or not.
 		    //Indicates if _dist is locally allocated (true) or not.
 		    bool local_dist;
-		    ///Pointer to the map of processed status of the nodes.
 		    //Pointer to the map of processed status of the nodes.
 		    ProcessedMap *_processed;
-		    ///Indicates if \ref _processed is locally allocated (\c true) or not.
 		    //Indicates if _processed is locally allocated (true) or not.
 		    bool local_processed;
-		    ///Pointer to the heap cross references.
 		    //Pointer to the heap cross references.
 		    HeapCrossRef *_heap_cross_ref;
-		    ///Indicates if \ref _heap_cross_ref is locally allocated (\c true) or not.
 		    //Indicates if _heap_cross_ref is locally allocated (true) or not.
 		    bool local_heap_cross_ref;
-		    ///Pointer to the heap.
 		    //Pointer to the heap.
 		    Heap *_heap;
-		    ///Indicates if \ref _heap is locally allocated (\c true) or not.
 		    //Indicates if _heap is locally allocated (true) or not.
 		    bool local_heap;
 		    ///Creates the maps if necessary.
 		    ///\todo Better memory allocation (instead of new).
 		    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 DefPredMapTraits : public Traits {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\ref named-templ-param "Named parameter" for setting PredMap type
-		    ///\ref named-templ-param "Named parameter" for setting PredMap type
+		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\ref PredMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref PredMap type.
 		    template <class T>
 		    struct DefPredMap
 		      : public Dijkstra< Digraph, LengthMap, DefPredMapTraits<T> > {
 		      typedef Dijkstra< Digraph, LengthMap, DefPredMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct DefDistMapTraits : public Traits {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\ref named-templ-param "Named parameter" for setting DistMap type
-		    ///\ref named-templ-param "Named parameter" for setting DistMap type
+		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\ref DistMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref DistMap type.
 		    template <class T>
 		    struct DefDistMap
 		      : public Dijkstra< Digraph, LengthMap, DefDistMapTraits<T> > {
 		      typedef Dijkstra< Digraph, LengthMap, DefDistMapTraits<T> > Create;
 		    };
 		    template <class T>
 		    struct DefProcessedMapTraits : public Traits {
 		      typedef T ProcessedMap;
-		      static ProcessedMap *createProcessedMap(const Digraph &G)
 		      static ProcessedMap *createProcessedMap(const Digraph &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
-		    ///\ref named-templ-param "Named parameter" for setting ProcessedMap type
+		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type.
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type.
 		    template <class T>
 		    struct DefProcessedMap
 		      : public Dijkstra< Digraph, LengthMap, DefProcessedMapTraits<T> > {
 		      typedef Dijkstra< Digraph, LengthMap, DefProcessedMapTraits<T> > Create;
 		    };
 		    struct DefDigraphProcessedMapTraits : public Traits {
 		      typedef typename Digraph::template NodeMap<bool> ProcessedMap;
-		      static ProcessedMap *createProcessedMap(const Digraph &G)
+		      static ProcessedMap *createProcessedMap(const Digraph &g)
+		      {
-		        return new ProcessedMap(G);
+		        return new ProcessedMap(g);
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///
 		    ///\ref named-templ-param "Named parameter"
 		    ///for setting the ProcessedMap type to be Digraph::NodeMap<bool>.
-		    ///If you don't set it explicitely, it will be automatically allocated.
+		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref ProcessedMap type to be <tt>Digraph::NodeMap<bool></tt>.
 		    ///If you don't set it explicitly, it will be automatically allocated.
 		    template <class T>
 		    struct DefProcessedMapToBeDefaultMap
 		      : public Dijkstra< Digraph, LengthMap, DefDigraphProcessedMapTraits> {
 		      typedef Dijkstra< Digraph, LengthMap, DefDigraphProcessedMapTraits>
 		      Create;
 		    };
 		    template <class H, class CR>
 		    struct DefHeapTraits : public Traits {
 		      typedef CR HeapCrossRef;
 		      typedef H Heap;
 		      static HeapCrossRef *createHeapCrossRef(const Digraph &) {
 		        throw UninitializedParameter();
+		      }
 		      static Heap *createHeap(HeapCrossRef &)
+		      {
 		        throw UninitializedParameter();
+		      }
 		    };
 		    ///\brief \ref named-templ-param "Named parameter" for setting
 		    ///heap and cross reference type
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting heap and cross
 		    ///reference type
 		    ///
 		    ///reference type.
 		    template <class H, class CR = typename Digraph::template NodeMap<int> >
 		    struct DefHeap
 		      : public Dijkstra< Digraph, LengthMap, DefHeapTraits<H, CR> > {
 		      typedef Dijkstra< Digraph, LengthMap, DefHeapTraits<H, CR> > Create;
 		    };
 		    template <class H, class CR>
 		    struct DefStandardHeapTraits : 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 type with automatic allocation
 		    ///
 		    ///\ref named-templ-param "Named parameter" for setting heap and cross
 		    ///reference type. It can allocate the heap and the cross reference
 		    ///object if the cross reference's constructor waits for the digraph as
 		    ///parameter and the heap's constructor waits for the cross reference.
 		    template <class H, class CR = typename Digraph::template NodeMap<int> >
 		    struct DefStandardHeap
 		      : public Dijkstra< Digraph, LengthMap, DefStandardHeapTraits<H, CR> > {
 		      typedef Dijkstra< Digraph, LengthMap, DefStandardHeapTraits<H, CR> >
 		      Create;
 		    };
 		    template <class T>
 		    struct DefOperationTraitsTraits : public Traits {
 		      typedef T OperationTraits;
 		    };
 		    /// \brief \ref named-templ-param "Named parameter" for setting
 		    /// OperationTraits type
+		    ///\ref OperationTraits type
 		    ///
 		    /// \ref named-templ-param "Named parameter" for setting OperationTraits
 		    /// type
 		    ///\ref named-templ-param "Named parameter" for setting
 		    ///\ref OperationTraits type.
 		    template <class T>
 		    struct DefOperationTraits
 		      : public Dijkstra<Digraph, LengthMap, DefOperationTraitsTraits<T> > {
 		      typedef Dijkstra<Digraph, LengthMap, DefOperationTraitsTraits<T> >
 		      Create;
 		    };
 		    ///@}
 		  protected:
 		    Dijkstra() {}
 		  public:
 		    ///Constructor.
 		    ///\param _G the digraph the algorithm will run on.
 		    ///\param _length the length map used by the algorithm.
 		    Dijkstra(const Digraph& _G, const LengthMap& _length) :
 		      G(&_G), length(&_length),
 		    ///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),
 		      _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;
 		      return *this;
+		    }
-		    ///Sets the map storing the predecessor arcs.
+		    ///Sets the map that stores the predecessor arcs.
-		    ///Sets the map storing the predecessor arcs.
+		    ///Sets the map that stores the predecessor arcs.
 		    ///If you don't use this function before calling \ref run(),
-		    ///it will allocate one. The destuctor deallocates this
+		    ///it will allocate one. 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 storing the distances calculated by the algorithm.
+		    ///Sets the map that indicates which nodes are processed.
-		    ///Sets the map storing the distances calculated by the algorithm.
+		    ///Sets the map that indicates which nodes are processed.
 		    ///If you don't use this function before calling \ref run(),
-		    ///it will allocate one. The destuctor deallocates this
+		    ///it will allocate one. 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(),
 		    ///it will allocate one. 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(),
-		    ///it will allocate one. The destuctor deallocates this
+		    ///it will allocate one. The destructor deallocates this
 		    ///automatically allocated heap and cross reference, 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:
 		    typedef PredMapPath<Digraph, PredMap> Path;
 		    ///\name Execution control
 		    ///The simplest way to execute the algorithm is to use
 		    ///one of the member functions called \c run(...).
 		    ///The simplest way to execute the algorithm is to use one of the
 		    ///member functions called \ref lemon::Dijkstra::run() "run()".
 		    ///\n
 		    ///If you need more control on the execution,
 		    ///first you must call \ref init(), then you can add several source nodes
 		    ///with \ref addSource().
 		    ///Finally \ref start() will perform the actual path
-		    ///computation.
+		    ///If you need more control on the execution, first you must call
 		    ///\ref lemon::Dijkstra::init() "init()", then you can add several
 		    ///source nodes with \ref lemon::Dijkstra::addSource() "addSource()".
 		    ///Finally \ref lemon::Dijkstra::start() "start()" will perform the
 		    ///actual path computation.
 		    ///@{
 		    ///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.
 		    ///
-		    ///It checks if the node has already been added to the heap and
+		    ///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!
+		    ///\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]));
 		          _pred->set(w,e);
 		          break;
 		        case Heap::IN_HEAP:
+		          {
 		            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;
+		    }
-		    ///Next node to be processed.
+		    ///The next node to be processed.
 		    ///Next node to be processed.
 		    ///
 		    ///\return The next node to be processed or INVALID if the priority heap
 		    /// is empty.
-		    Node nextNode()
+		    ///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;
+		    }
 		    ///\brief Returns \c false if there are nodes
-		    ///to be processed in the priority heap
+		    ///to be processed.
 		    ///
 		    ///Returns \c false if there are nodes
 		    ///to be processed in the priority heap
 		    bool emptyQueue() { return _heap->empty(); }
 		    ///to be processed in the priority heap.
 		    bool emptyQueue() const { return _heap->empty(); }
 		    ///Returns the number of the nodes to be processed in the priority heap
 		    ///Returns the number of the nodes to be processed in the priority heap
+		    ///Returns the number of the nodes to be processed in the priority heap.
 		    ///
 		    int queueSize() { return _heap->size(); }
+		    int queueSize() const { return _heap->size(); }
 		    ///Executes the algorithm.
 		    ///Executes the algorithm.
 		    ///
 		    ///\pre init() must be called and at least one node should be added
 		    ///with addSource() before using this function.
 		    ///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 reached.
 		    ///Executes the algorithm until the given target node is reached.
 		    ///
 		    ///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.
-		    ///- The distance of each node from the root(s).
+		    ///in order to compute the shortest path to \c dest.
 		    ///
 		    void start()
+		    {
 		      while ( !_heap->empty() ) processNextNode();
+		    }
 		    ///Executes the algorithm until \c dest is reached.
 		    ///Executes the algorithm until \c dest is reached.
 		    ///The algorithm computes
 		    ///- the shortest path to \c dest,
 		    ///- the distance of \c dest from the root(s).
 		    ///
 		    ///\pre init() must be called and at least one node should be added
 		    ///with addSource() before using this function.
 		    ///
 		    ///This method runs the %Dijkstra algorithm from the root node(s)
 		    ///in order to
 		    ///compute the
 		    ///shortest path to \c dest. The algorithm computes
 		    ///- The shortest path to \c  dest.
 		    ///- The distance of \c dest 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 dest)
+		    {
 		      while ( !_heap->empty() && _heap->top()!=dest ) processNextNode();
 		      if ( !_heap->empty() ) finalizeNodeData(_heap->top(),_heap->prio());
+		    }
 		    ///Executes the algorithm until a condition is met.
 		    ///Executes the algorithm until a condition is met.
 		    ///
 		    ///\pre init() must be called and at least one node should be added
 		    ///with addSource() before using this function.
 		    ///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 must be a bool (or convertible) node map. The algorithm
+		    ///\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 %Dijkstra algorithm from node \c s.
+		    ///Runs the algorithm from the given node.
 		    ///This method runs the %Dijkstra algorithm from a root 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.
 		    ///This method runs the %Dijkstra algorithm from node \c s
 		    ///in order to compute the shortest path to each node.
 		    ///
-		    ///\note d.run(s) is just a shortcut of the following code.
+		    ///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.
-		    ///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 \c t.
 		    ///
 		    ///\return The length of the shortest s---t path if there exists one,
 		    ///0 otherwise.
 		    ///\note Apart from the return value, d.run(s) is
 		    ///just a shortcut of the following code.
 		    ///\return The length of the shortest <tt>s</tt>--<tt>t</tt> path,
 		    ///if \c t is reachable form \c s, \c 0 otherwise.
 		    ///
 		    ///\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
 		    Value run(Node s,Node t) {
 		      init();
 		      addSource(s);
 		      start(t);
 		      return (*_pred)[t]==INVALID?OperationTraits::zero():(*_dist)[t];
+		    }
 		    ///@}
 		    ///\name Query Functions
 		    ///The result of the %Dijkstra algorithm can be obtained using these
 		    ///functions.\n
 		    ///Before the use of these functions,
 		    ///either run() or start() must be called.
 		    ///Either \ref lemon::Dijkstra::run() "run()" or
 		    ///\ref lemon::Dijkstra::start() "start()" must be called before
 		    ///using them.
 		    ///@{
-		    ///Gives back the shortest path.
+		    ///The shortest path to a node.
 		    ///Gives back the shortest path.
 		    ///\pre The \c t should be reachable from the source.
 		    Path path(Node t)
+		    {
 		      return Path(*G, *_pred, t);
+		    }
 		    ///Returns the shortest path to a node.
 		    ///
 		    ///\warning \c t should be reachable from the root(s).
 		    ///
 		    ///\pre Either \ref run() or \ref start() 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.
+		    ///The distance of a node from the root(s).
 		    ///Returns the distance of a node from the root.
 		    ///\pre \ref run() must be called before using this function.
 		    ///\warning If node \c v in unreachable from the root the return value
 		    ///of this funcion is undefined.
 		    ///Returns the distance of a node from the root(s).
 		    ///
 		    ///\warning If node \c v is not reachable from the root(s), then
 		    ///the return value of this function is undefined.
 		    ///
 		    ///\pre Either \ref run() or \ref start() must be called before
 		    ///using this function.
 		    Value dist(Node v) const { return (*_dist)[v]; }
-		    ///The current distance of a node from the root.
+		    ///Returns the 'previous arc' of the shortest path tree for a node.
 		    ///Returns the current distance of a node from the root.
 		    ///It may be decreased in the following processes.
 		    ///\pre \c node should be reached but not processed
 		    Value currentDist(Node v) const { return (*_heap)[v]; }
 		    ///Returns the 'previous arc' of the shortest path tree.
 		    ///For a node \c v it returns the 'previous arc' of the shortest path tree,
 		    ///i.e. it returns the last arc of a shortest path from the root to \c
 		    ///v. It is \ref INVALID
 		    ///if \c v is unreachable from the root or if \c v=s. The
 		    ///shortest path tree used here is equal to the shortest path tree used in
 		    ///\ref predNode().  \pre \ref run() must be called before using
 		    ///this function.
 		    ///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 the root(s) to \c v. It is \c INVALID if \c v
 		    ///is not reachable 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() or \ref start() must be called before
 		    ///using this function.
 		    Arc predArc(Node v) const { return (*_pred)[v]; }
 		    ///Returns the 'previous node' of the shortest path tree.
+		    ///Returns the 'previous node' of the shortest path tree for a node.
 		    ///For a node \c v it returns the 'previous node' of the shortest path tree,
 		    ///i.e. it returns the last but one node from a shortest path from the
 		    ///root to \c /v. It is INVALID if \c v is unreachable from the root or if
 		    ///\c v=s. The shortest path tree used here is equal to the shortest path
-		    ///tree used in \ref predArc().  \pre \ref run() must be called before
+		    ///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 the root(s) to \c v. It is \c INVALID
 		    ///if \c v is not reachable 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() or \ref start() must be called before
 		    ///using this function.
 		    Node predNode(Node v) const { return (*_pred)[v]==INVALID ? INVALID:
 		                                  G->source((*_pred)[v]); }
 		    ///Returns a reference to the NodeMap of distances.
 		    ///Returns a reference to the NodeMap of distances. \pre \ref run() must
 		    ///be called before using this function.
 		    ///\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() or \ref init()
 		    ///must be called before using this function.
 		    const DistMap &distMap() const { return *_dist;}
 		    ///Returns a reference to the shortest path tree map.
 		    ///Returns a reference to the NodeMap of the arcs of the
 		    ///shortest path tree.
-		    ///\pre \ref run() must be called before using this function.
+		    ///\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() or \ref init()
 		    ///must be called before using this function.
 		    const PredMap &predMap() const { return *_pred;}
 		    ///Checks if a node is reachable from the root.
+		    ///Checks if a node is reachable from the root(s).
 		    ///Returns \c true if \c v is reachable from the root.
 		    ///\warning The source nodes are inditated as unreached.
 		    ///\pre \ref run() must be called before using this function.
 		    ///
-		    bool reached(Node v) { return (*_heap_cross_ref)[v] != Heap::PRE_HEAP; }
+		    ///Returns \c true if \c v is reachable from the root(s).
 		    ///\pre Either \ref run() or \ref start()
 		    ///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 \ref run() must be called before using this function.
 		    ///
-		    bool processed(Node v) { return (*_heap_cross_ref)[v] == Heap::POST_HEAP; }
+		    ///\pre Either \ref run() or \ref start()
 		    ///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 \c v should be reached but not processed.
 		    Value currentDist(Node v) const { return (*_heap)[v]; }
 		    ///@}
 		  };
 		  ///Default traits class of dijkstra() function.
 		  ///Default traits class of Dijkstra function.
 		  ///Default traits class of Dijkstra function.
 		  ///\tparam GR Digraph type.
-		  ///\tparam LM Type of length map.
+		  ///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 digraph type the algorithm runs on.
+		    ///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.
+		    ///The type of the length of the arcs.
 		    typedef typename LM::Value Value;
 		    /// Operation traits for Dijkstra algorithm.
-		    /// It defines the used operation by the algorithm.
+		    /// This class defines the operations that are used in the algorithm.
 		    /// \see DijkstraDefaultOperationTraits
 		    typedef DijkstraDefaultOperationTraits<Value> OperationTraits;
 		    ///The heap type used by Dijkstra algorithm.
 		    /// The cross reference type used by heap.
+		    /// The cross reference type used by the heap.
 		    /// The cross reference type used by 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 HeapCrossRef.
+		    ///Instantiates a \ref HeapCrossRef.
 		    ///This function instantiates a \ref HeapCrossRef.
-		    /// \param G is the digraph, to which we would like to define the
+		    /// \param g is the digraph, to which we would like to define the
 		    /// HeapCrossRef.
 		    /// \todo The digraph alone may be insufficient for the initialization
-		    static HeapCrossRef *createHeapCrossRef(const GR &G)
+		    static HeapCrossRef *createHeapCrossRef(const Digraph &g)
+		    {
-		      return new HeapCrossRef(G);
+		      return new HeapCrossRef(g);
+		    }
 		    ///The heap type used by Dijkstra algorithm.
+		    ///The heap type used by the Dijkstra algorithm.
 		    ///The heap type used by Dijkstra algorithm.
+		    ///The heap type used by the Dijkstra algorithm.
 		    ///
 		    ///\sa BinHeap
 		    ///\sa Dijkstra
-		    typedef BinHeap<typename LM::Value, typename GR::template NodeMap<int>,
+		    typedef BinHeap<Value, typename Digraph::template NodeMap<int>,
 		                    std::less<Value> > Heap;
-		    static Heap *createHeap(HeapCrossRef& R)
+		    ///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);
+		      return new Heap(r);
+		    }
-		    ///\brief The type of the map that stores the last
+		    ///\brief The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///
-		    ///The type of the map that stores the last
+		    ///The type of the map that stores the predecessor
 		    ///arcs of the shortest paths.
 		    ///It must meet the \ref concepts::WriteMap "WriteMap" concept.
 		    ///
 		    typedef NullMap <typename GR::Node,typename GR::Arc> PredMap;
-		    ///Instantiates a PredMap.
+		    typedef NullMap <typename Digraph::Node,typename Digraph::Arc> PredMap;
 		    ///Instantiates a \ref PredMap.
 		    ///This function instantiates a \ref PredMap.
 		    ///\param g is the digraph, to which we would like to define the PredMap.
 		    ///\todo The digraph alone may be insufficient for the initialization
 		    ///\param g is the digraph, to which we would like to define the
 		    ///\ref PredMap.
 		    ///\todo The digraph alone may be insufficient to initialize
 		#ifdef DOXYGEN
-		    static PredMap *createPredMap(const GR &g)
+		    static PredMap *createPredMap(const Digraph &g)
 		#else
-		    static PredMap *createPredMap(const GR &)
+		    static PredMap *createPredMap(const Digraph &)
 		#endif
+		    {
 		      return new PredMap();
+		    }
 		    ///The type of the map that stores whether a nodes is processed.
-		    ///The type of the map that stores whether a nodes is processed.
+		    ///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.
 		    ///\todo If it is set to a real map,
 		    ///Dijkstra::processed() should read this.
 		    ///\todo named parameter to set this type, function to read and write.
 		    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
 		    ///Instantiates a ProcessedMap.
+		    ///Instantiates a \ref ProcessedMap.
 		    ///This function instantiates a \ref ProcessedMap.
 		    ///\param g is the digraph, to which
 		    ///we would like to define the \ref ProcessedMap
+		    ///we would like to define the \ref ProcessedMap.
 		#ifdef DOXYGEN
-		    static ProcessedMap *createProcessedMap(const GR &g)
+		    static ProcessedMap *createProcessedMap(const Digraph &g)
 		#else
-		    static ProcessedMap *createProcessedMap(const GR &)
+		    static ProcessedMap *createProcessedMap(const Digraph &)
 		#endif
+		    {
 		      return new ProcessedMap();
+		    }
 		    ///The type of the map that stores the dists of the nodes.
-		    ///The type of the map that stores the dists of the nodes.
+		    ///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 NullMap<typename Digraph::Node,typename LM::Value> DistMap;
-		    ///Instantiates a DistMap.
+		    typedef NullMap<typename Digraph::Node,Value> DistMap;
 		    ///Instantiates a \ref DistMap.
 		    ///This function instantiates a \ref DistMap.
 		    ///\param g is the digraph, to which we would like to define
 		    ///the \ref DistMap
 		#ifdef DOXYGEN
-		    static DistMap *createDistMap(const GR &g)
+		    static DistMap *createDistMap(const Digraph &g)
 		#else
-		    static DistMap *createDistMap(const GR &)
+		    static DistMap *createDistMap(const Digraph &)
 		#endif
+		    {
 		      return new DistMap();
+		    }
 		  };
 		  /// Default traits used by \ref DijkstraWizard
+		  /// Default traits class used by \ref DijkstraWizard
 		  /// To make it easier to use Dijkstra algorithm
 		  ///we have created a wizard class.
 		  /// This \ref DijkstraWizard class needs default traits,
 		  ///as well as the \ref Dijkstra class.
 		  /// The \ref DijkstraWizardBase is a class to be the default traits of the
 		  /// \ref DijkstraWizard class.
 		  /// \todo More named parameters are required...
 		  template<class GR,class LM>
 		  class DijkstraWizardBase : public DijkstraWizardDefaultTraits<GR,LM>
+		  {
 		    typedef DijkstraWizardDefaultTraits<GR,LM> Base;
 		  protected:
-		    /// Type of the nodes in the digraph.
+		    //The type of the nodes in the digraph.
 		    typedef typename Base::Digraph::Node Node;
-		    /// Pointer to the underlying digraph.
+		    //Pointer to the digraph the algorithm runs on.
 		    void *_g;
-		    /// Pointer to the length map
 		    //Pointer to the length map
 		    void *_length;
-		    ///Pointer to the map of predecessors arcs.
 		    //Pointer to the map of predecessors arcs.
 		    void *_pred;
-		    ///Pointer to the map of distances.
 		    //Pointer to the map of distances.
 		    void *_dist;
-		    ///Pointer to the source node.
 		    //Pointer to the source node.
 		    Node _source;
 		    public:
 		    /// Constructor.
 		    /// This constructor does not require parameters, therefore it initiates
 		    /// all of the attributes to default values (0, INVALID).
 		    DijkstraWizardBase() : _g(0), _length(0), _pred(0),
 		                           _dist(0), _source(INVALID) {}
 		    /// Constructor.
 		    /// This constructor requires some parameters,
 		    /// listed in the parameters list.
 		    /// Others are initiated to 0.
 		    /// \param g is the initial value of  \ref _g
 		    /// \param l is the initial value of  \ref _length
-		    /// \param s is the initial value of  \ref _source
+		    /// \param g The digraph the algorithm runs on.
 		    /// \param l The length map.
 		    /// \param s The source node.
 		    DijkstraWizardBase(const GR &g,const LM &l, Node s=INVALID) :
 		      _g(reinterpret_cast<void*>(const_cast<GR*>(&g))),
 		      _length(reinterpret_cast<void*>(const_cast<LM*>(&l))),
 		      _pred(0), _dist(0), _source(s) {}
 		  };
-		  /// A class to make the usage of Dijkstra algorithm easier
+		  /// Auxiliary class for the function type interface of Dijkstra algorithm.
 		  /// This class is created to make it easier to use Dijkstra algorithm.
 		  /// It uses the functions and features of the plain \ref Dijkstra,
-		  /// but it is much simpler to use it.
+		  /// This auxiliary class is created to implement the function type
 		  /// interface of \ref Dijkstra algorithm. It uses the functions and features
 		  /// of the plain \ref Dijkstra, but it is much simpler to use it.
 		  /// It should only be used through the \ref dijkstra() function, which makes
 		  /// it easier to use the algorithm.
 		  ///
 		  /// Simplicity means that the way to change the types defined
 		  /// in the traits class is based on functions that returns the new class
 		  /// and not on templatable built-in classes.
 		  /// When using the plain \ref Dijkstra
 		  /// the new class with the modified type comes from
 		  /// the original class by using the ::
 		  /// operator. In the case of \ref DijkstraWizard only
 		  /// a function have to be called and it will
+		  /// a function have to be called, and it will
 		  /// return the needed class.
 		  ///
 		  /// It does not have own \ref run method. When its \ref run method is called
 		  /// it initiates a plain \ref Dijkstra class, and calls the \ref
-		  /// Dijkstra::run method of it.
+		  /// It does not have own \ref run() method. When its \ref run() method
 		  /// is called, it initiates a plain \ref Dijkstra object, and calls the
 		  /// \ref Dijkstra::run() method of it.
 		  template<class TR>
 		  class DijkstraWizard : public TR
+		  {
 		    typedef TR Base;
-		    ///The type of the underlying digraph.
+		    ///The type of the digraph the algorithm runs on.
 		    typedef typename TR::Digraph Digraph;
-		    //\e
 		    typedef typename Digraph::Node Node;
 		    //\e
 		    typedef typename Digraph::NodeIt NodeIt;
 		    //\e
 		    typedef typename Digraph::Arc Arc;
 		    //\e
 		    typedef typename Digraph::OutArcIt OutArcIt;
 		    ///The type of the map that stores the arc lengths.
 		    typedef typename TR::LengthMap LengthMap;
 		    ///The type of the length of the arcs.
 		    typedef typename LengthMap::Value Value;
-		    ///\brief The type of the map that stores the last
+		    ///\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 dists of the nodes.
+		    ///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 heap type used by the dijkstra algorithm.
 		    typedef typename TR::Heap Heap;
 		  public:
 		    /// Constructor.
 		    DijkstraWizard() : TR() {}
 		    /// Constructor that requires parameters.
 		    /// Constructor that requires parameters.
 		    /// These parameters will be the default values for the traits class.
 		    DijkstraWizard(const Digraph &g,const LengthMap &l, Node s=INVALID) :
 		      TR(g,l,s) {}
 		    ///Copy constructor
 		    DijkstraWizard(const TR &b) : TR(b) {}
 		    ~DijkstraWizard() {}
-		    ///Runs Dijkstra algorithm from a given node.
+		    ///Runs Dijkstra algorithm from a source node.
 		    ///Runs Dijkstra algorithm from a given node.
 		    ///The node can be given by the \ref source function.
 		    ///Runs Dijkstra algorithm from a source node.
 		    ///The node can be given with the \ref source() function.
 		    void run()
+		    {
 		      if(Base::_source==INVALID) throw UninitializedParameter();
 		      Dijkstra<Digraph,LengthMap,TR>
 		        dij(*reinterpret_cast<const Digraph*>(Base::_g),
 		            *reinterpret_cast<const LengthMap*>(Base::_length));
 		      if(Base::_pred) dij.predMap(*reinterpret_cast<PredMap*>(Base::_pred));
 		      if(Base::_dist) dij.distMap(*reinterpret_cast<DistMap*>(Base::_dist));
 		      dij.run(Base::_source);
+		    }
 		    ///Runs Dijkstra algorithm from the given node.
 		    ///Runs Dijkstra algorithm from the given node.
 		    ///\param s is the given source.
 		    void run(Node s)
+		    {
 		      Base::_source=s;
 		      run();
+		    }
 		    /// Sets the source node, from which the Dijkstra algorithm runs.
 		    /// Sets the source node, from which the Dijkstra algorithm runs.
 		    /// \param s is the source node.
 		    DijkstraWizard<TR> &source(Node s)
+		    {
 		      Base::_source=s;
 		      return *this;
+		    }
 		    template<class T>
 		    struct DefPredMapBase : public Base {
 		      typedef T PredMap;
 		      static PredMap *createPredMap(const Digraph &) { return 0; };
 		      DefPredMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
-		    ///function for setting PredMap type
+		    ///for setting \ref PredMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting PredMap type
 		    ///
 		    ///for setting \ref PredMap object.
 		    template<class T>
 		    DijkstraWizard<DefPredMapBase<T> > predMap(const T &t)
+		    {
 		      Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DijkstraWizard<DefPredMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefProcessedMapBase : public Base {
 		      typedef T ProcessedMap;
 		      static ProcessedMap *createProcessedMap(const Digraph &) { return 0; };
 		      DefProcessedMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
 		    ///for setting \ref ProcessedMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///for setting \ref ProcessedMap object.
 		    template<class T>
 		    DijkstraWizard<DefProcessedMapBase<T> > processedMap(const T &t)
+		    {
 		      Base::_processed=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DijkstraWizard<DefProcessedMapBase<T> >(*this);
+		    }
 		    template<class T>
 		    struct DefDistMapBase : public Base {
 		      typedef T DistMap;
 		      static DistMap *createDistMap(const Digraph &) { return 0; };
 		      DefDistMapBase(const TR &b) : TR(b) {}
 		    };
 		    ///\brief \ref named-templ-param "Named parameter"
-		    ///function for setting DistMap type
+		    ///for setting \ref DistMap object.
 		    ///
 		    /// \ref named-templ-param "Named parameter"
 		    ///function for setting DistMap type
 		    ///
 		    ///for setting \ref DistMap object.
 		    template<class T>
 		    DijkstraWizard<DefDistMapBase<T> > distMap(const T &t)
+		    {
 		      Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t));
 		      return DijkstraWizard<DefDistMapBase<T> >(*this);
+		    }
 		    /// Sets the source node, from which the Dijkstra algorithm runs.
 		    /// Sets the source node, from which the Dijkstra algorithm runs.
 		    /// \param s is the source node.
 		    DijkstraWizard<TR> &source(Node s)
+		    {
 		      Base::_source=s;
 		      return *this;
+		    }
 		  };
 		  ///Function type interface for Dijkstra algorithm.
 		  /// \ingroup shortest_path
 		  ///Function type interface for Dijkstra algorithm.
 		  ///
 		  ///This function also has several
 		  ///\ref named-templ-func-param "named parameters",
 		  ///they are declared as the members of class \ref DijkstraWizard.
 		  ///The following
 		  ///example shows how to use these parameters.
 		  ///\code
 		  ///  dijkstra(g,length,source).predMap(preds).run();
 		  ///\endcode
 		  ///\warning Don't forget to put the \ref DijkstraWizard::run() "run()"
 		  ///to the end of the parameter list.
 		  ///\sa DijkstraWizard
 		  ///\sa Dijkstra
 		  template<class GR, class LM>
 		  DijkstraWizard<DijkstraWizardBase<GR,LM> >
 		  dijkstra(const GR &g,const LM &l,typename GR::Node s=INVALID)
+		  {
 		    return DijkstraWizard<DijkstraWizardBase<GR,LM> >(g,l,s);
+		  }
 		} //END OF NAMESPACE LEMON
 		#endif

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