LEMON/LEMON-main Changeset - r787:c2230649a493

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Changeset - r787:c2230649a493

« 784:1a7fe3

788:c92296 »

r787:c2230649a493

Sun, 15 Nov 2009 19:57:02

[Not Reviewed]

0 comments (0 inline)

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

Various doc improvements (#331) - Add notes to the graph classes about the time of item counting. - Clarify the doc for run() in BFS and DFS. - Other improvements.

0 11 0

default

11 files changed with 93 insertions and 43 deletions:

lemon/adaptors.h

lemon/bfs.h

lemon/dfs.h

lemon/dijkstra.h

lemon/edge_set.h

lemon/full_graph.h

lemon/grid_graph.h

lemon/hypercube_graph.h

lemon/list_graph.h

lemon/smart_graph.h

lemon/static_graph.h

↑ Collapse diff ↑

lemon/adaptors.h

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 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_ADAPTORS_H
 		#define LEMON_ADAPTORS_H
 		/// \ingroup graph_adaptors
 		/// \file
 		/// \brief Adaptor classes for digraphs and graphs
 		///
 		/// This file contains several useful adaptors for digraphs and graphs.
 		#include <lemon/core.h>
 		#include <lemon/maps.h>
 		#include <lemon/bits/variant.h>
 		#include <lemon/bits/graph_adaptor_extender.h>
 		#include <lemon/bits/map_extender.h>
 		#include <lemon/tolerance.h>
 		#include <algorithm>
 		namespace lemon {
 		#ifdef _MSC_VER
 		#define LEMON_SCOPE_FIX(OUTER, NESTED) OUTER::NESTED
 		#else
 		#define LEMON_SCOPE_FIX(OUTER, NESTED) typename OUTER::template NESTED
 		#endif
 		  template<typename DGR>
 		  class DigraphAdaptorBase {
 		  public:
 		    typedef DGR Digraph;
 		    typedef DigraphAdaptorBase Adaptor;
 		  protected:
 		    DGR* _digraph;
 		    DigraphAdaptorBase() : _digraph(0) { }
 		    void initialize(DGR& digraph) { _digraph = &digraph; }
 		  public:
 		    DigraphAdaptorBase(DGR& digraph) : _digraph(&digraph) { }
 		    typedef typename DGR::Node Node;
 		    typedef typename DGR::Arc Arc;
 		    void first(Node& i) const { _digraph->first(i); }
 		    void first(Arc& i) const { _digraph->first(i); }
 		    void firstIn(Arc& i, const Node& n) const { _digraph->firstIn(i, n); }
 		    void firstOut(Arc& i, const Node& n ) const { _digraph->firstOut(i, n); }
 		    void next(Node& i) const { _digraph->next(i); }
 		    void next(Arc& i) const { _digraph->next(i); }
 		    void nextIn(Arc& i) const { _digraph->nextIn(i); }
 		    void nextOut(Arc& i) const { _digraph->nextOut(i); }
 		    Node source(const Arc& a) const { return _digraph->source(a); }
 		    Node target(const Arc& a) const { return _digraph->target(a); }
 		    typedef NodeNumTagIndicator<DGR> NodeNumTag;
 		    int nodeNum() const { return _digraph->nodeNum(); }
 		    typedef ArcNumTagIndicator<DGR> ArcNumTag;
 		    int arcNum() const { return _digraph->arcNum(); }
 		    typedef FindArcTagIndicator<DGR> FindArcTag;
 		    Arc findArc(const Node& u, const Node& v, const Arc& prev = INVALID) const {
 		      return _digraph->findArc(u, v, prev);
+		    }
 		    Node addNode() { return _digraph->addNode(); }
 		    Arc addArc(const Node& u, const Node& v) { return _digraph->addArc(u, v); }
 		    void erase(const Node& n) { _digraph->erase(n); }
 		    void erase(const Arc& a) { _digraph->erase(a); }
 		    void clear() { _digraph->clear(); }
 		    int id(const Node& n) const { return _digraph->id(n); }
 		    int id(const Arc& a) const { return _digraph->id(a); }
 		    Node nodeFromId(int ix) const { return _digraph->nodeFromId(ix); }
 		    Arc arcFromId(int ix) const { return _digraph->arcFromId(ix); }
 		    int maxNodeId() const { return _digraph->maxNodeId(); }
 		    int maxArcId() const { return _digraph->maxArcId(); }
 		    typedef typename ItemSetTraits<DGR, Node>::ItemNotifier NodeNotifier;
 		    NodeNotifier& notifier(Node) const { return _digraph->notifier(Node()); }
 		    typedef typename ItemSetTraits<DGR, Arc>::ItemNotifier ArcNotifier;
 		    ArcNotifier& notifier(Arc) const { return _digraph->notifier(Arc()); }
 		    template <typename V>
 		    class NodeMap : public DGR::template NodeMap<V> {
 		      typedef typename DGR::template NodeMap<V> Parent;
 		    public:
 		      explicit NodeMap(const Adaptor& adaptor)
 		        : Parent(*adaptor._digraph) {}
 		      NodeMap(const Adaptor& adaptor, const V& value)
 		        : Parent(*adaptor._digraph, value) { }
 		    private:
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class ArcMap : public DGR::template ArcMap<V> {
 		      typedef typename DGR::template ArcMap<V> Parent;
 		    public:
 		      explicit ArcMap(const DigraphAdaptorBase<DGR>& adaptor)
 		        : Parent(*adaptor._digraph) {}
 		      ArcMap(const DigraphAdaptorBase<DGR>& adaptor, const V& value)
 		        : Parent(*adaptor._digraph, value) {}
 		    private:
 		      ArcMap& operator=(const ArcMap& cmap) {
 		        return operator=<ArcMap>(cmap);
+		      }
 		      template <typename CMap>
 		      ArcMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  template<typename GR>
 		  class GraphAdaptorBase {
 		  public:
 		    typedef GR Graph;
 		  protected:
 		    GR* _graph;
 		    GraphAdaptorBase() : _graph(0) {}
 		    void initialize(GR& graph) { _graph = &graph; }
 		  public:
 		    GraphAdaptorBase(GR& graph) : _graph(&graph) {}
 		    typedef typename GR::Node Node;
 		    typedef typename GR::Arc Arc;
 		    typedef typename GR::Edge Edge;
 		    void first(Node& i) const { _graph->first(i); }
 		    void first(Arc& i) const { _graph->first(i); }
 		    void first(Edge& i) const { _graph->first(i); }
 		    void firstIn(Arc& i, const Node& n) const { _graph->firstIn(i, n); }
 		    void firstOut(Arc& i, const Node& n ) const { _graph->firstOut(i, n); }
 		    void firstInc(Edge &i, bool &d, const Node &n) const {
 		      _graph->firstInc(i, d, n);
+		    }
 		    void next(Node& i) const { _graph->next(i); }
 		    void next(Arc& i) const { _graph->next(i); }
 		    void next(Edge& i) const { _graph->next(i); }
 		    void nextIn(Arc& i) const { _graph->nextIn(i); }
 		    void nextOut(Arc& i) const { _graph->nextOut(i); }
 		    void nextInc(Edge &i, bool &d) const { _graph->nextInc(i, d); }
 		    Node u(const Edge& e) const { return _graph->u(e); }
 		    Node v(const Edge& e) const { return _graph->v(e); }
 		    Node source(const Arc& a) const { return _graph->source(a); }
 		    Node target(const Arc& a) const { return _graph->target(a); }
 		    typedef NodeNumTagIndicator<Graph> NodeNumTag;
 		    int nodeNum() const { return _graph->nodeNum(); }
 		    typedef ArcNumTagIndicator<Graph> ArcNumTag;
 		    int arcNum() const { return _graph->arcNum(); }
 		    typedef EdgeNumTagIndicator<Graph> EdgeNumTag;
 		    int edgeNum() const { return _graph->edgeNum(); }
 		    typedef FindArcTagIndicator<Graph> FindArcTag;
 		    Arc findArc(const Node& u, const Node& v,
 		                const Arc& prev = INVALID) const {
 		      return _graph->findArc(u, v, prev);
+		    }
 		    typedef FindEdgeTagIndicator<Graph> FindEdgeTag;
 		    Edge findEdge(const Node& u, const Node& v,
 		                  const Edge& prev = INVALID) const {
 		      return _graph->findEdge(u, v, prev);
+		    }
 		    Node addNode() { return _graph->addNode(); }
 		    Edge addEdge(const Node& u, const Node& v) { return _graph->addEdge(u, v); }
 		    void erase(const Node& i) { _graph->erase(i); }
 		    void erase(const Edge& i) { _graph->erase(i); }
 		    void clear() { _graph->clear(); }
 		    bool direction(const Arc& a) const { return _graph->direction(a); }
 		    Arc direct(const Edge& e, bool d) const { return _graph->direct(e, d); }
 		    int id(const Node& v) const { return _graph->id(v); }
 		    int id(const Arc& a) const { return _graph->id(a); }
 		    int id(const Edge& e) const { return _graph->id(e); }
 		    Node nodeFromId(int ix) const { return _graph->nodeFromId(ix); }
 		    Arc arcFromId(int ix) const { return _graph->arcFromId(ix); }
 		    Edge edgeFromId(int ix) const { return _graph->edgeFromId(ix); }
 		    int maxNodeId() const { return _graph->maxNodeId(); }
 		    int maxArcId() const { return _graph->maxArcId(); }
 		    int maxEdgeId() const { return _graph->maxEdgeId(); }
 		    typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
 		    NodeNotifier& notifier(Node) const { return _graph->notifier(Node()); }
 		    typedef typename ItemSetTraits<GR, Arc>::ItemNotifier ArcNotifier;
 		    ArcNotifier& notifier(Arc) const { return _graph->notifier(Arc()); }
 		    typedef typename ItemSetTraits<GR, Edge>::ItemNotifier EdgeNotifier;
 		    EdgeNotifier& notifier(Edge) const { return _graph->notifier(Edge()); }
 		    template <typename V>
 		    class NodeMap : public GR::template NodeMap<V> {
 		      typedef typename GR::template NodeMap<V> Parent;
 		    public:
 		      explicit NodeMap(const GraphAdaptorBase<GR>& adapter)
 		        : Parent(*adapter._graph) {}
 		      NodeMap(const GraphAdaptorBase<GR>& adapter, const V& value)
 		        : Parent(*adapter._graph, value) {}
 		    private:
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class ArcMap : public GR::template ArcMap<V> {
 		      typedef typename GR::template ArcMap<V> Parent;
 		    public:
 		      explicit ArcMap(const GraphAdaptorBase<GR>& adapter)
 		        : Parent(*adapter._graph) {}
 		      ArcMap(const GraphAdaptorBase<GR>& adapter, const V& value)
 		        : Parent(*adapter._graph, value) {}
 		    private:
 		      ArcMap& operator=(const ArcMap& cmap) {
 		        return operator=<ArcMap>(cmap);
+		      }
 		      template <typename CMap>
 		      ArcMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class EdgeMap : public GR::template EdgeMap<V> {
 		      typedef typename GR::template EdgeMap<V> Parent;
 		    public:
 		      explicit EdgeMap(const GraphAdaptorBase<GR>& adapter)
 		        : Parent(*adapter._graph) {}
 		      EdgeMap(const GraphAdaptorBase<GR>& adapter, const V& value)
 		        : Parent(*adapter._graph, value) {}
 		    private:
 		      EdgeMap& operator=(const EdgeMap& cmap) {
 		        return operator=<EdgeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      EdgeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  template <typename DGR>
 		  class ReverseDigraphBase : public DigraphAdaptorBase<DGR> {
 		    typedef DigraphAdaptorBase<DGR> Parent;
 		  public:
 		    typedef DGR Digraph;
 		  protected:
 		    ReverseDigraphBase() : Parent() { }
 		  public:
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		    void firstIn(Arc& a, const Node& n) const { Parent::firstOut(a, n); }
 		    void firstOut(Arc& a, const Node& n ) const { Parent::firstIn(a, n); }
 		    void nextIn(Arc& a) const { Parent::nextOut(a); }
 		    void nextOut(Arc& a) const { Parent::nextIn(a); }
 		    Node source(const Arc& a) const { return Parent::target(a); }
 		    Node target(const Arc& a) const { return Parent::source(a); }
 		    Arc addArc(const Node& u, const Node& v) { return Parent::addArc(v, u); }
 		    typedef FindArcTagIndicator<DGR> FindArcTag;
 		    Arc findArc(const Node& u, const Node& v,
 		                const Arc& prev = INVALID) const {
 		      return Parent::findArc(v, u, prev);
+		    }
 		  };
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for reversing the orientation of the arcs in
 		  /// a digraph.
 		  ///
 		  /// ReverseDigraph can be used for reversing the arcs in a digraph.
 		  /// It conforms to the \ref concepts::Digraph "Digraph" concept.
 		  ///
 		  /// The adapted digraph can also be modified through this adaptor
 		  /// by adding or removing nodes or arcs, unless the \c GR template
 		  /// parameter is set to be \c const.
 		  ///
 		  /// This class provides item counting in the same time as the adapted
 		  /// digraph structure.
 		  ///
 		  /// \tparam DGR The type of the adapted digraph.
 		  /// It must conform to the \ref concepts::Digraph "Digraph" concept.
 		  /// It can also be specified to be \c const.
 		  ///
 		  /// \note The \c Node and \c Arc types of this adaptor and the adapted
 		  /// digraph are convertible to each other.
 		  template<typename DGR>
 		#ifdef DOXYGEN
 		  class ReverseDigraph {
 		#else
 		  class ReverseDigraph :
 		    public DigraphAdaptorExtender<ReverseDigraphBase<DGR> > {
 		#endif
 		    typedef DigraphAdaptorExtender<ReverseDigraphBase<DGR> > Parent;
 		  public:
 		    /// The type of the adapted digraph.
 		    typedef DGR Digraph;
 		  protected:
 		    ReverseDigraph() { }
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Creates a reverse digraph adaptor for the given digraph.
 		    explicit ReverseDigraph(DGR& digraph) {
 		      Parent::initialize(digraph);
+		    }
 		  };
 		  /// \brief Returns a read-only ReverseDigraph adaptor
 		  ///
 		  /// This function just returns a read-only \ref ReverseDigraph adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates ReverseDigraph
 		  template<typename DGR>
 		  ReverseDigraph<const DGR> reverseDigraph(const DGR& digraph) {
 		    return ReverseDigraph<const DGR>(digraph);
+		  }
 		  template <typename DGR, typename NF, typename AF, bool ch = true>
 		  class SubDigraphBase : public DigraphAdaptorBase<DGR> {
 		    typedef DigraphAdaptorBase<DGR> Parent;
 		  public:
 		    typedef DGR Digraph;
 		    typedef NF NodeFilterMap;
 		    typedef AF ArcFilterMap;
 		    typedef SubDigraphBase Adaptor;
 		  protected:
 		    NF* _node_filter;
 		    AF* _arc_filter;
 		    SubDigraphBase()
 		      : Parent(), _node_filter(0), _arc_filter(0) { }
 		    void initialize(DGR& digraph, NF& node_filter, AF& arc_filter) {
 		      Parent::initialize(digraph);
 		      _node_filter = &node_filter;
 		      _arc_filter = &arc_filter;
+		    }
 		  public:
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		    void first(Node& i) const {
 		      Parent::first(i);
 		      while (i != INVALID && !(*_node_filter)[i]) Parent::next(i);
+		    }
 		    void first(Arc& i) const {
 		      Parent::first(i);
 		      while (i != INVALID && (!(*_arc_filter)[i]
 		                              || !(*_node_filter)[Parent::source(i)]
 		                              || !(*_node_filter)[Parent::target(i)]))
 		        Parent::next(i);
+		    }
 		    void firstIn(Arc& i, const Node& n) const {
 		      Parent::firstIn(i, n);
 		      while (i != INVALID && (!(*_arc_filter)[i]
 		                              || !(*_node_filter)[Parent::source(i)]))
 		        Parent::nextIn(i);
+		    }
 		    void firstOut(Arc& i, const Node& n) const {
 		      Parent::firstOut(i, n);
 		      while (i != INVALID && (!(*_arc_filter)[i]
 		                              || !(*_node_filter)[Parent::target(i)]))
 		        Parent::nextOut(i);
+		    }
 		    void next(Node& i) const {
 		      Parent::next(i);
 		      while (i != INVALID && !(*_node_filter)[i]) Parent::next(i);
+		    }
 		    void next(Arc& i) const {
 		      Parent::next(i);
 		      while (i != INVALID && (!(*_arc_filter)[i]
 		                              || !(*_node_filter)[Parent::source(i)]
 		                              || !(*_node_filter)[Parent::target(i)]))
 		        Parent::next(i);
+		    }
 		    void nextIn(Arc& i) const {
 		      Parent::nextIn(i);
 		      while (i != INVALID && (!(*_arc_filter)[i]
 		                              || !(*_node_filter)[Parent::source(i)]))
 		        Parent::nextIn(i);
+		    }
 		    void nextOut(Arc& i) const {
 		      Parent::nextOut(i);
 		      while (i != INVALID && (!(*_arc_filter)[i]
 		                              || !(*_node_filter)[Parent::target(i)]))
 		        Parent::nextOut(i);
+		    }
 		    void status(const Node& n, bool v) const { _node_filter->set(n, v); }
 		    void status(const Arc& a, bool v) const { _arc_filter->set(a, v); }
 		    bool status(const Node& n) const { return (*_node_filter)[n]; }
 		    bool status(const Arc& a) const { return (*_arc_filter)[a]; }
 		    typedef False NodeNumTag;
 		    typedef False ArcNumTag;
 		    typedef FindArcTagIndicator<DGR> FindArcTag;
 		    Arc findArc(const Node& source, const Node& target,
 		                const Arc& prev = INVALID) const {
 		      if (!(*_node_filter)[source] || !(*_node_filter)[target]) {
 		        return INVALID;
+		      }
 		      Arc arc = Parent::findArc(source, target, prev);
 		      while (arc != INVALID && !(*_arc_filter)[arc]) {
 		        arc = Parent::findArc(source, target, arc);
+		      }
 		      return arc;
+		    }
 		  public:
 		    template <typename V>
 		    class NodeMap
 		      : public SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>,
 			      LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> {
 		      typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>,
 			LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      NodeMap(const SubDigraphBase<DGR, NF, AF, ch>& adaptor)
 		        : Parent(adaptor) {}
 		      NodeMap(const SubDigraphBase<DGR, NF, AF, ch>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class ArcMap
 		      : public SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>,
 			      LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> {
 		      typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>,
 		        LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      ArcMap(const SubDigraphBase<DGR, NF, AF, ch>& adaptor)
 		        : Parent(adaptor) {}
 		      ArcMap(const SubDigraphBase<DGR, NF, AF, ch>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      ArcMap& operator=(const ArcMap& cmap) {
 		        return operator=<ArcMap>(cmap);
+		      }
 		      template <typename CMap>
 		      ArcMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  template <typename DGR, typename NF, typename AF>
 		  class SubDigraphBase<DGR, NF, AF, false>
 		    : public DigraphAdaptorBase<DGR> {
 		    typedef DigraphAdaptorBase<DGR> Parent;
 		  public:
 		    typedef DGR Digraph;
 		    typedef NF NodeFilterMap;
 		    typedef AF ArcFilterMap;
 		    typedef SubDigraphBase Adaptor;
 		  protected:
 		    NF* _node_filter;
 		    AF* _arc_filter;
 		    SubDigraphBase()
 		      : Parent(), _node_filter(0), _arc_filter(0) { }
 		    void initialize(DGR& digraph, NF& node_filter, AF& arc_filter) {
 		      Parent::initialize(digraph);
 		      _node_filter = &node_filter;
 		      _arc_filter = &arc_filter;
+		    }
 		  public:
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		    void first(Node& i) const {
 		      Parent::first(i);
 		      while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i);
+		    }
 		    void first(Arc& i) const {
 		      Parent::first(i);
 		      while (i!=INVALID && !(*_arc_filter)[i]) Parent::next(i);
+		    }
 		    void firstIn(Arc& i, const Node& n) const {
 		      Parent::firstIn(i, n);
 		      while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextIn(i);
+		    }
 		    void firstOut(Arc& i, const Node& n) const {
 		      Parent::firstOut(i, n);
 		      while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextOut(i);
+		    }
 		    void next(Node& i) const {
 		      Parent::next(i);
 		      while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i);
+		    }
 		    void next(Arc& i) const {
 		      Parent::next(i);
 		      while (i!=INVALID && !(*_arc_filter)[i]) Parent::next(i);
+		    }
 		    void nextIn(Arc& i) const {
 		      Parent::nextIn(i);
 		      while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextIn(i);
+		    }
 		    void nextOut(Arc& i) const {
 		      Parent::nextOut(i);
 		      while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextOut(i);
+		    }
 		    void status(const Node& n, bool v) const { _node_filter->set(n, v); }
 		    void status(const Arc& a, bool v) const { _arc_filter->set(a, v); }
 		    bool status(const Node& n) const { return (*_node_filter)[n]; }
 		    bool status(const Arc& a) const { return (*_arc_filter)[a]; }
 		    typedef False NodeNumTag;
 		    typedef False ArcNumTag;
 		    typedef FindArcTagIndicator<DGR> FindArcTag;
 		    Arc findArc(const Node& source, const Node& target,
 		                const Arc& prev = INVALID) const {
 		      if (!(*_node_filter)[source] || !(*_node_filter)[target]) {
 		        return INVALID;
+		      }
 		      Arc arc = Parent::findArc(source, target, prev);
 		      while (arc != INVALID && !(*_arc_filter)[arc]) {
 		        arc = Parent::findArc(source, target, arc);
+		      }
 		      return arc;
+		    }
 		    template <typename V>
 		    class NodeMap
 		      : public SubMapExtender<SubDigraphBase<DGR, NF, AF, false>,
 		          LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> {
 		      typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, false>,
 		        LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      NodeMap(const SubDigraphBase<DGR, NF, AF, false>& adaptor)
 		        : Parent(adaptor) {}
 		      NodeMap(const SubDigraphBase<DGR, NF, AF, false>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class ArcMap
 		      : public SubMapExtender<SubDigraphBase<DGR, NF, AF, false>,
 		          LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> {
 		      typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, false>,
 		        LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      ArcMap(const SubDigraphBase<DGR, NF, AF, false>& adaptor)
 		        : Parent(adaptor) {}
 		      ArcMap(const SubDigraphBase<DGR, NF, AF, false>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      ArcMap& operator=(const ArcMap& cmap) {
 		        return operator=<ArcMap>(cmap);
+		      }
 		      template <typename CMap>
 		      ArcMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for hiding nodes and arcs in a digraph
 		  ///
 		  /// SubDigraph can be used for hiding nodes and arcs in a digraph.
 		  /// A \c bool node map and a \c bool arc map must be specified, which
 		  /// define the filters for nodes and arcs.
 		  /// Only the nodes and arcs with \c true filter value are
 		  /// shown in the subdigraph. The arcs that are incident to hidden
 		  /// nodes are also filtered out.
 		  /// This adaptor conforms to the \ref concepts::Digraph "Digraph" concept.
 		  ///
 		  /// The adapted digraph can also be modified through this adaptor
 		  /// by adding or removing nodes or arcs, unless the \c GR template
 		  /// parameter is set to be \c const.
 		  ///
 		  /// This class provides only linear time counting for nodes and arcs.
 		  ///
 		  /// \tparam DGR The type of the adapted digraph.
 		  /// It must conform to the \ref concepts::Digraph "Digraph" concept.
 		  /// It can also be specified to be \c const.
 		  /// \tparam NF The type of the node filter map.
 		  /// It must be a \c bool (or convertible) node map of the
 		  /// adapted digraph. The default type is
 		  /// \ref concepts::Digraph::NodeMap "DGR::NodeMap<bool>".
 		  /// \tparam AF The type of the arc filter map.
 		  /// It must be \c bool (or convertible) arc map of the
 		  /// adapted digraph. The default type is
 		  /// \ref concepts::Digraph::ArcMap "DGR::ArcMap<bool>".
 		  ///
 		  /// \note The \c Node and \c Arc types of this adaptor and the adapted
 		  /// digraph are convertible to each other.
 		  ///
 		  /// \see FilterNodes
 		  /// \see FilterArcs
 		#ifdef DOXYGEN
 		  template<typename DGR, typename NF, typename AF>
 		  class SubDigraph {
 		#else
 		  template<typename DGR,
 		           typename NF = typename DGR::template NodeMap<bool>,
 		           typename AF = typename DGR::template ArcMap<bool> >
 		  class SubDigraph :
 		    public DigraphAdaptorExtender<SubDigraphBase<DGR, NF, AF, true> > {
 		#endif
 		  public:
 		    /// The type of the adapted digraph.
 		    typedef DGR Digraph;
 		    /// The type of the node filter map.
 		    typedef NF NodeFilterMap;
 		    /// The type of the arc filter map.
 		    typedef AF ArcFilterMap;
 		    typedef DigraphAdaptorExtender<SubDigraphBase<DGR, NF, AF, true> >
 		      Parent;
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		  protected:
 		    SubDigraph() { }
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Creates a subdigraph for the given digraph with the
 		    /// given node and arc filter maps.
 		    SubDigraph(DGR& digraph, NF& node_filter, AF& arc_filter) {
 		      Parent::initialize(digraph, node_filter, arc_filter);
+		    }
 		    /// \brief Sets the status of the given node
 		    ///
 		    /// This function sets the status of the given node.
 		    /// It is done by simply setting the assigned value of \c n
 		    /// to \c v in the node filter map.
 		    void status(const Node& n, bool v) const { Parent::status(n, v); }
 		    /// \brief Sets the status of the given arc
 		    ///
 		    /// This function sets the status of the given arc.
 		    /// It is done by simply setting the assigned value of \c a
 		    /// to \c v in the arc filter map.
 		    void status(const Arc& a, bool v) const { Parent::status(a, v); }
 		    /// \brief Returns the status of the given node
 		    ///
 		    /// This function returns the status of the given node.
 		    /// It is \c true if the given node is enabled (i.e. not hidden).
 		    bool status(const Node& n) const { return Parent::status(n); }
 		    /// \brief Returns the status of the given arc
 		    ///
 		    /// This function returns the status of the given arc.
 		    /// It is \c true if the given arc is enabled (i.e. not hidden).
 		    bool status(const Arc& a) const { return Parent::status(a); }
 		    /// \brief Disables the given node
 		    ///
 		    /// This function disables the given node in the subdigraph,
 		    /// so the iteration jumps over it.
 		    /// It is the same as \ref status() "status(n, false)".
 		    void disable(const Node& n) const { Parent::status(n, false); }
 		    /// \brief Disables the given arc
 		    ///
 		    /// This function disables the given arc in the subdigraph,
 		    /// so the iteration jumps over it.
 		    /// It is the same as \ref status() "status(a, false)".
 		    void disable(const Arc& a) const { Parent::status(a, false); }
 		    /// \brief Enables the given node
 		    ///
 		    /// This function enables the given node in the subdigraph.
 		    /// It is the same as \ref status() "status(n, true)".
 		    void enable(const Node& n) const { Parent::status(n, true); }
 		    /// \brief Enables the given arc
 		    ///
 		    /// This function enables the given arc in the subdigraph.
 		    /// It is the same as \ref status() "status(a, true)".
 		    void enable(const Arc& a) const { Parent::status(a, true); }
 		  };
 		  /// \brief Returns a read-only SubDigraph adaptor
 		  ///
 		  /// This function just returns a read-only \ref SubDigraph adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates SubDigraph
 		  template<typename DGR, typename NF, typename AF>
 		  SubDigraph<const DGR, NF, AF>
 		  subDigraph(const DGR& digraph,
 		             NF& node_filter, AF& arc_filter) {
 		    return SubDigraph<const DGR, NF, AF>
 		      (digraph, node_filter, arc_filter);
+		  }
 		  template<typename DGR, typename NF, typename AF>
 		  SubDigraph<const DGR, const NF, AF>
 		  subDigraph(const DGR& digraph,
 		             const NF& node_filter, AF& arc_filter) {
 		    return SubDigraph<const DGR, const NF, AF>
 		      (digraph, node_filter, arc_filter);
+		  }
 		  template<typename DGR, typename NF, typename AF>
 		  SubDigraph<const DGR, NF, const AF>
 		  subDigraph(const DGR& digraph,
 		             NF& node_filter, const AF& arc_filter) {
 		    return SubDigraph<const DGR, NF, const AF>
 		      (digraph, node_filter, arc_filter);
+		  }
 		  template<typename DGR, typename NF, typename AF>
 		  SubDigraph<const DGR, const NF, const AF>
 		  subDigraph(const DGR& digraph,
 		             const NF& node_filter, const AF& arc_filter) {
 		    return SubDigraph<const DGR, const NF, const AF>
 		      (digraph, node_filter, arc_filter);
+		  }
 		  template <typename GR, typename NF, typename EF, bool ch = true>
 		  class SubGraphBase : public GraphAdaptorBase<GR> {
 		    typedef GraphAdaptorBase<GR> Parent;
 		  public:
 		    typedef GR Graph;
 		    typedef NF NodeFilterMap;
 		    typedef EF EdgeFilterMap;
 		    typedef SubGraphBase Adaptor;
 		  protected:
 		    NF* _node_filter;
 		    EF* _edge_filter;
 		    SubGraphBase()
 		      : Parent(), _node_filter(0), _edge_filter(0) { }
 		    void initialize(GR& graph, NF& node_filter, EF& edge_filter) {
 		      Parent::initialize(graph);
 		      _node_filter = &node_filter;
 		      _edge_filter = &edge_filter;
+		    }
 		  public:
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		    typedef typename Parent::Edge Edge;
 		    void first(Node& i) const {
 		      Parent::first(i);
 		      while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i);
+		    }
 		    void first(Arc& i) const {
 		      Parent::first(i);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::source(i)]
 		                            || !(*_node_filter)[Parent::target(i)]))
 		        Parent::next(i);
+		    }
 		    void first(Edge& i) const {
 		      Parent::first(i);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::u(i)]
 		                            || !(*_node_filter)[Parent::v(i)]))
 		        Parent::next(i);
+		    }
 		    void firstIn(Arc& i, const Node& n) const {
 		      Parent::firstIn(i, n);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::source(i)]))
 		        Parent::nextIn(i);
+		    }
 		    void firstOut(Arc& i, const Node& n) const {
 		      Parent::firstOut(i, n);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::target(i)]))
 		        Parent::nextOut(i);
+		    }
 		    void firstInc(Edge& i, bool& d, const Node& n) const {
 		      Parent::firstInc(i, d, n);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::u(i)]
 		                            || !(*_node_filter)[Parent::v(i)]))
 		        Parent::nextInc(i, d);
+		    }
 		    void next(Node& i) const {
 		      Parent::next(i);
 		      while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i);
+		    }
 		    void next(Arc& i) const {
 		      Parent::next(i);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::source(i)]
 		                            || !(*_node_filter)[Parent::target(i)]))
 		        Parent::next(i);
+		    }
 		    void next(Edge& i) const {
 		      Parent::next(i);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::u(i)]
 		                            || !(*_node_filter)[Parent::v(i)]))
 		        Parent::next(i);
+		    }
 		    void nextIn(Arc& i) const {
 		      Parent::nextIn(i);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::source(i)]))
 		        Parent::nextIn(i);
+		    }
 		    void nextOut(Arc& i) const {
 		      Parent::nextOut(i);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::target(i)]))
 		        Parent::nextOut(i);
+		    }
 		    void nextInc(Edge& i, bool& d) const {
 		      Parent::nextInc(i, d);
 		      while (i!=INVALID && (!(*_edge_filter)[i]
 		                            || !(*_node_filter)[Parent::u(i)]
 		                            || !(*_node_filter)[Parent::v(i)]))
 		        Parent::nextInc(i, d);
+		    }
 		    void status(const Node& n, bool v) const { _node_filter->set(n, v); }
 		    void status(const Edge& e, bool v) const { _edge_filter->set(e, v); }
 		    bool status(const Node& n) const { return (*_node_filter)[n]; }
 		    bool status(const Edge& e) const { return (*_edge_filter)[e]; }
 		    typedef False NodeNumTag;
 		    typedef False ArcNumTag;
 		    typedef False EdgeNumTag;
 		    typedef FindArcTagIndicator<Graph> FindArcTag;
 		    Arc findArc(const Node& u, const Node& v,
 		                const Arc& prev = INVALID) const {
 		      if (!(*_node_filter)[u] || !(*_node_filter)[v]) {
 		        return INVALID;
+		      }
 		      Arc arc = Parent::findArc(u, v, prev);
 		      while (arc != INVALID && !(*_edge_filter)[arc]) {
 		        arc = Parent::findArc(u, v, arc);
+		      }
 		      return arc;
+		    }
 		    typedef FindEdgeTagIndicator<Graph> FindEdgeTag;
 		    Edge findEdge(const Node& u, const Node& v,
 		                  const Edge& prev = INVALID) const {
 		      if (!(*_node_filter)[u] || !(*_node_filter)[v]) {
 		        return INVALID;
+		      }
 		      Edge edge = Parent::findEdge(u, v, prev);
 		      while (edge != INVALID && !(*_edge_filter)[edge]) {
 		        edge = Parent::findEdge(u, v, edge);
+		      }
 		      return edge;
+		    }
 		    template <typename V>
 		    class NodeMap
 		      : public SubMapExtender<SubGraphBase<GR, NF, EF, ch>,
 		          LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, NodeMap<V>)> {
 		      typedef SubMapExtender<SubGraphBase<GR, NF, EF, ch>,
 		        LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, NodeMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      NodeMap(const SubGraphBase<GR, NF, EF, ch>& adaptor)
 		        : Parent(adaptor) {}
 		      NodeMap(const SubGraphBase<GR, NF, EF, ch>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class ArcMap
 		      : public SubMapExtender<SubGraphBase<GR, NF, EF, ch>,
 		          LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, ArcMap<V>)> {
 		      typedef SubMapExtender<SubGraphBase<GR, NF, EF, ch>,
 		        LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, ArcMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      ArcMap(const SubGraphBase<GR, NF, EF, ch>& adaptor)
 		        : Parent(adaptor) {}
 		      ArcMap(const SubGraphBase<GR, NF, EF, ch>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      ArcMap& operator=(const ArcMap& cmap) {
 		        return operator=<ArcMap>(cmap);
+		      }
 		      template <typename CMap>
 		      ArcMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class EdgeMap
 		      : public SubMapExtender<SubGraphBase<GR, NF, EF, ch>,
 		        LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, EdgeMap<V>)> {
 		      typedef SubMapExtender<SubGraphBase<GR, NF, EF, ch>,
 		        LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, EdgeMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      EdgeMap(const SubGraphBase<GR, NF, EF, ch>& adaptor)
 		        : Parent(adaptor) {}
 		      EdgeMap(const SubGraphBase<GR, NF, EF, ch>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      EdgeMap& operator=(const EdgeMap& cmap) {
 		        return operator=<EdgeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      EdgeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  template <typename GR, typename NF, typename EF>
 		  class SubGraphBase<GR, NF, EF, false>
 		    : public GraphAdaptorBase<GR> {
 		    typedef GraphAdaptorBase<GR> Parent;
 		  public:
 		    typedef GR Graph;
 		    typedef NF NodeFilterMap;
 		    typedef EF EdgeFilterMap;
 		    typedef SubGraphBase Adaptor;
 		  protected:
 		    NF* _node_filter;
 		    EF* _edge_filter;
 		    SubGraphBase()
 			  : Parent(), _node_filter(0), _edge_filter(0) { }
 		    void initialize(GR& graph, NF& node_filter, EF& edge_filter) {
 		      Parent::initialize(graph);
 		      _node_filter = &node_filter;
 		      _edge_filter = &edge_filter;
+		    }
 		  public:
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		    typedef typename Parent::Edge Edge;
 		    void first(Node& i) const {
 		      Parent::first(i);
 		      while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i);
+		    }
 		    void first(Arc& i) const {
 		      Parent::first(i);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::next(i);
+		    }
 		    void first(Edge& i) const {
 		      Parent::first(i);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::next(i);
+		    }
 		    void firstIn(Arc& i, const Node& n) const {
 		      Parent::firstIn(i, n);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextIn(i);
+		    }
 		    void firstOut(Arc& i, const Node& n) const {
 		      Parent::firstOut(i, n);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextOut(i);
+		    }
 		    void firstInc(Edge& i, bool& d, const Node& n) const {
 		      Parent::firstInc(i, d, n);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextInc(i, d);
+		    }
 		    void next(Node& i) const {
 		      Parent::next(i);
 		      while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i);
+		    }
 		    void next(Arc& i) const {
 		      Parent::next(i);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::next(i);
+		    }
 		    void next(Edge& i) const {
 		      Parent::next(i);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::next(i);
+		    }
 		    void nextIn(Arc& i) const {
 		      Parent::nextIn(i);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextIn(i);
+		    }
 		    void nextOut(Arc& i) const {
 		      Parent::nextOut(i);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextOut(i);
+		    }
 		    void nextInc(Edge& i, bool& d) const {
 		      Parent::nextInc(i, d);
 		      while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextInc(i, d);
+		    }
 		    void status(const Node& n, bool v) const { _node_filter->set(n, v); }
 		    void status(const Edge& e, bool v) const { _edge_filter->set(e, v); }
 		    bool status(const Node& n) const { return (*_node_filter)[n]; }
 		    bool status(const Edge& e) const { return (*_edge_filter)[e]; }
 		    typedef False NodeNumTag;
 		    typedef False ArcNumTag;
 		    typedef False EdgeNumTag;
 		    typedef FindArcTagIndicator<Graph> FindArcTag;
 		    Arc findArc(const Node& u, const Node& v,
 		                const Arc& prev = INVALID) const {
 		      Arc arc = Parent::findArc(u, v, prev);
 		      while (arc != INVALID && !(*_edge_filter)[arc]) {
 		        arc = Parent::findArc(u, v, arc);
+		      }
 		      return arc;
+		    }
 		    typedef FindEdgeTagIndicator<Graph> FindEdgeTag;
 		    Edge findEdge(const Node& u, const Node& v,
 		                  const Edge& prev = INVALID) const {
 		      Edge edge = Parent::findEdge(u, v, prev);
 		      while (edge != INVALID && !(*_edge_filter)[edge]) {
 		        edge = Parent::findEdge(u, v, edge);
+		      }
 		      return edge;
+		    }
 		    template <typename V>
 		    class NodeMap
 		      : public SubMapExtender<SubGraphBase<GR, NF, EF, false>,
 		          LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, NodeMap<V>)> {
 		      typedef SubMapExtender<SubGraphBase<GR, NF, EF, false>,
 		        LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, NodeMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      NodeMap(const SubGraphBase<GR, NF, EF, false>& adaptor)
 		        : Parent(adaptor) {}
 		      NodeMap(const SubGraphBase<GR, NF, EF, false>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class ArcMap
 		      : public SubMapExtender<SubGraphBase<GR, NF, EF, false>,
 		          LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, ArcMap<V>)> {
 		      typedef SubMapExtender<SubGraphBase<GR, NF, EF, false>,
 		        LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, ArcMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      ArcMap(const SubGraphBase<GR, NF, EF, false>& adaptor)
 		        : Parent(adaptor) {}
 		      ArcMap(const SubGraphBase<GR, NF, EF, false>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      ArcMap& operator=(const ArcMap& cmap) {
 		        return operator=<ArcMap>(cmap);
+		      }
 		      template <typename CMap>
 		      ArcMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class EdgeMap
 		      : public SubMapExtender<SubGraphBase<GR, NF, EF, false>,
 		        LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, EdgeMap<V>)> {
 		      typedef SubMapExtender<SubGraphBase<GR, NF, EF, false>,
 			LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, EdgeMap<V>)> Parent;
 		    public:
 		      typedef V Value;
 		      EdgeMap(const SubGraphBase<GR, NF, EF, false>& adaptor)
 		        : Parent(adaptor) {}
 		      EdgeMap(const SubGraphBase<GR, NF, EF, false>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      EdgeMap& operator=(const EdgeMap& cmap) {
 		        return operator=<EdgeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      EdgeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for hiding nodes and edges in an undirected
 		  /// graph.
 		  ///
 		  /// SubGraph can be used for hiding nodes and edges in a graph.
 		  /// A \c bool node map and a \c bool edge map must be specified, which
 		  /// define the filters for nodes and edges.
 		  /// Only the nodes and edges with \c true filter value are
 		  /// shown in the subgraph. The edges that are incident to hidden
 		  /// nodes are also filtered out.
 		  /// This adaptor conforms to the \ref concepts::Graph "Graph" concept.
 		  ///
 		  /// The adapted graph can also be modified through this adaptor
 		  /// by adding or removing nodes or edges, unless the \c GR template
 		  /// parameter is set to be \c const.
 		  ///
 		  /// This class provides only linear time counting for nodes, edges and arcs.
 		  ///
 		  /// \tparam GR The type of the adapted graph.
 		  /// It must conform to the \ref concepts::Graph "Graph" concept.
 		  /// It can also be specified to be \c const.
 		  /// \tparam NF The type of the node filter map.
 		  /// It must be a \c bool (or convertible) node map of the
 		  /// adapted graph. The default type is
 		  /// \ref concepts::Graph::NodeMap "GR::NodeMap<bool>".
 		  /// \tparam EF The type of the edge filter map.
 		  /// It must be a \c bool (or convertible) edge map of the
 		  /// adapted graph. The default type is
 		  /// \ref concepts::Graph::EdgeMap "GR::EdgeMap<bool>".
 		  ///
 		  /// \note The \c Node, \c Edge and \c Arc types of this adaptor and the
 		  /// adapted graph are convertible to each other.
 		  ///
 		  /// \see FilterNodes
 		  /// \see FilterEdges
 		#ifdef DOXYGEN
 		  template<typename GR, typename NF, typename EF>
 		  class SubGraph {
 		#else
 		  template<typename GR,
 		           typename NF = typename GR::template NodeMap<bool>,
 		           typename EF = typename GR::template EdgeMap<bool> >
 		  class SubGraph :
 		    public GraphAdaptorExtender<SubGraphBase<GR, NF, EF, true> > {
 		#endif
 		  public:
 		    /// The type of the adapted graph.
 		    typedef GR Graph;
 		    /// The type of the node filter map.
 		    typedef NF NodeFilterMap;
 		    /// The type of the edge filter map.
 		    typedef EF EdgeFilterMap;
 		    typedef GraphAdaptorExtender<SubGraphBase<GR, NF, EF, true> >
 		      Parent;
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Edge Edge;
 		  protected:
 		    SubGraph() { }
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Creates a subgraph for the given graph with the given node
 		    /// and edge filter maps.
 		    SubGraph(GR& graph, NF& node_filter, EF& edge_filter) {
 		      initialize(graph, node_filter, edge_filter);
+		    }
 		    /// \brief Sets the status of the given node
 		    ///
 		    /// This function sets the status of the given node.
 		    /// It is done by simply setting the assigned value of \c n
 		    /// to \c v in the node filter map.
 		    void status(const Node& n, bool v) const { Parent::status(n, v); }
 		    /// \brief Sets the status of the given edge
 		    ///
 		    /// This function sets the status of the given edge.
 		    /// It is done by simply setting the assigned value of \c e
 		    /// to \c v in the edge filter map.
 		    void status(const Edge& e, bool v) const { Parent::status(e, v); }
 		    /// \brief Returns the status of the given node
 		    ///
 		    /// This function returns the status of the given node.
 		    /// It is \c true if the given node is enabled (i.e. not hidden).
 		    bool status(const Node& n) const { return Parent::status(n); }
 		    /// \brief Returns the status of the given edge
 		    ///
 		    /// This function returns the status of the given edge.
 		    /// It is \c true if the given edge is enabled (i.e. not hidden).
 		    bool status(const Edge& e) const { return Parent::status(e); }
 		    /// \brief Disables the given node
 		    ///
 		    /// This function disables the given node in the subdigraph,
 		    /// so the iteration jumps over it.
 		    /// It is the same as \ref status() "status(n, false)".
 		    void disable(const Node& n) const { Parent::status(n, false); }
 		    /// \brief Disables the given edge
 		    ///
 		    /// This function disables the given edge in the subgraph,
 		    /// so the iteration jumps over it.
 		    /// It is the same as \ref status() "status(e, false)".
 		    void disable(const Edge& e) const { Parent::status(e, false); }
 		    /// \brief Enables the given node
 		    ///
 		    /// This function enables the given node in the subdigraph.
 		    /// It is the same as \ref status() "status(n, true)".
 		    void enable(const Node& n) const { Parent::status(n, true); }
 		    /// \brief Enables the given edge
 		    ///
 		    /// This function enables the given edge in the subgraph.
 		    /// It is the same as \ref status() "status(e, true)".
 		    void enable(const Edge& e) const { Parent::status(e, true); }
 		  };
 		  /// \brief Returns a read-only SubGraph adaptor
 		  ///
 		  /// This function just returns a read-only \ref SubGraph adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates SubGraph
 		  template<typename GR, typename NF, typename EF>
 		  SubGraph<const GR, NF, EF>
 		  subGraph(const GR& graph, NF& node_filter, EF& edge_filter) {
 		    return SubGraph<const GR, NF, EF>
 		      (graph, node_filter, edge_filter);
+		  }
 		  template<typename GR, typename NF, typename EF>
 		  SubGraph<const GR, const NF, EF>
 		  subGraph(const GR& graph, const NF& node_filter, EF& edge_filter) {
 		    return SubGraph<const GR, const NF, EF>
 		      (graph, node_filter, edge_filter);
+		  }
 		  template<typename GR, typename NF, typename EF>
 		  SubGraph<const GR, NF, const EF>
 		  subGraph(const GR& graph, NF& node_filter, const EF& edge_filter) {
 		    return SubGraph<const GR, NF, const EF>
 		      (graph, node_filter, edge_filter);
+		  }
 		  template<typename GR, typename NF, typename EF>
 		  SubGraph<const GR, const NF, const EF>
 		  subGraph(const GR& graph, const NF& node_filter, const EF& edge_filter) {
 		    return SubGraph<const GR, const NF, const EF>
 		      (graph, node_filter, edge_filter);
+		  }
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for hiding nodes in a digraph or a graph.
 		  ///
 		  /// FilterNodes adaptor can be used for hiding nodes in a digraph or a
 		  /// graph. A \c bool node map must be specified, which defines the filter
 		  /// for the nodes. Only the nodes with \c true filter value and the
 		  /// arcs/edges incident to nodes both with \c true filter value are shown
 		  /// in the subgraph. This adaptor conforms to the \ref concepts::Digraph
 		  /// "Digraph" concept or the \ref concepts::Graph "Graph" concept
 		  /// depending on the \c GR template parameter.
 		  ///
 		  /// The adapted (di)graph can also be modified through this adaptor
 		  /// by adding or removing nodes or arcs/edges, unless the \c GR template
 		  /// parameter is set to be \c const.
 		  ///
 		  /// This class provides only linear time item counting.
 		  ///
 		  /// \tparam GR The type of the adapted digraph or graph.
 		  /// It must conform to the \ref concepts::Digraph "Digraph" concept
 		  /// or the \ref concepts::Graph "Graph" concept.
 		  /// It can also be specified to be \c const.
 		  /// \tparam NF The type of the node filter map.
 		  /// It must be a \c bool (or convertible) node map of the
 		  /// adapted (di)graph. The default type is
 		  /// \ref concepts::Graph::NodeMap "GR::NodeMap<bool>".
 		  ///
 		  /// \note The \c Node and <tt>Arc/Edge</tt> types of this adaptor and the
 		  /// adapted (di)graph are convertible to each other.
 		#ifdef DOXYGEN
 		  template<typename GR, typename NF>
 		  class FilterNodes {
 		#else
 		  template<typename GR,
 		           typename NF = typename GR::template NodeMap<bool>,
 		           typename Enable = void>
 		  class FilterNodes :
 		    public DigraphAdaptorExtender<
 		      SubDigraphBase<GR, NF, ConstMap<typename GR::Arc, Const<bool, true> >,
 		                     true> > {
 		#endif
 		    typedef DigraphAdaptorExtender<
 		      SubDigraphBase<GR, NF, ConstMap<typename GR::Arc, Const<bool, true> >,
 		                     true> > Parent;
 		  public:
 		    typedef GR Digraph;
 		    typedef NF NodeFilterMap;
 		    typedef typename Parent::Node Node;
 		  protected:
 		    ConstMap<typename Digraph::Arc, Const<bool, true> > const_true_map;
 		    FilterNodes() : const_true_map() {}
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Creates a subgraph for the given digraph or graph with the
 		    /// given node filter map.
 		    FilterNodes(GR& graph, NF& node_filter)
 		      : Parent(), const_true_map()
+		    {
 		      Parent::initialize(graph, node_filter, const_true_map);
+		    }
 		    /// \brief Sets the status of the given node
 		    ///
 		    /// This function sets the status of the given node.
 		    /// It is done by simply setting the assigned value of \c n
 		    /// to \c v in the node filter map.
 		    void status(const Node& n, bool v) const { Parent::status(n, v); }
 		    /// \brief Returns the status of the given node
 		    ///
 		    /// This function returns the status of the given node.
 		    /// It is \c true if the given node is enabled (i.e. not hidden).
 		    bool status(const Node& n) const { return Parent::status(n); }
 		    /// \brief Disables the given node
 		    ///
 		    /// This function disables the given node, so the iteration
 		    /// jumps over it.
 		    /// It is the same as \ref status() "status(n, false)".
 		    void disable(const Node& n) const { Parent::status(n, false); }
 		    /// \brief Enables the given node
 		    ///
 		    /// This function enables the given node.
 		    /// It is the same as \ref status() "status(n, true)".
 		    void enable(const Node& n) const { Parent::status(n, true); }
 		  };
 		  template<typename GR, typename NF>
 		  class FilterNodes<GR, NF,
 		                    typename enable_if<UndirectedTagIndicator<GR> >::type> :
 		    public GraphAdaptorExtender<
 		      SubGraphBase<GR, NF, ConstMap<typename GR::Edge, Const<bool, true> >,
 		                   true> > {
 		    typedef GraphAdaptorExtender<
 		      SubGraphBase<GR, NF, ConstMap<typename GR::Edge, Const<bool, true> >,
 		                   true> > Parent;
 		  public:
 		    typedef GR Graph;
 		    typedef NF NodeFilterMap;
 		    typedef typename Parent::Node Node;
 		  protected:
 		    ConstMap<typename GR::Edge, Const<bool, true> > const_true_map;
 		    FilterNodes() : const_true_map() {}
 		  public:
 		    FilterNodes(GR& graph, NodeFilterMap& node_filter) :
 		      Parent(), const_true_map() {
 		      Parent::initialize(graph, node_filter, const_true_map);
+		    }
 		    void status(const Node& n, bool v) const { Parent::status(n, v); }
 		    bool status(const Node& n) const { return Parent::status(n); }
 		    void disable(const Node& n) const { Parent::status(n, false); }
 		    void enable(const Node& n) const { Parent::status(n, true); }
 		  };
 		  /// \brief Returns a read-only FilterNodes adaptor
 		  ///
 		  /// This function just returns a read-only \ref FilterNodes adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates FilterNodes
 		  template<typename GR, typename NF>
 		  FilterNodes<const GR, NF>
 		  filterNodes(const GR& graph, NF& node_filter) {
 		    return FilterNodes<const GR, NF>(graph, node_filter);
+		  }
 		  template<typename GR, typename NF>
 		  FilterNodes<const GR, const NF>
 		  filterNodes(const GR& graph, const NF& node_filter) {
 		    return FilterNodes<const GR, const NF>(graph, node_filter);
+		  }
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for hiding arcs in a digraph.
 		  ///
 		  /// FilterArcs adaptor can be used for hiding arcs in a digraph.
 		  /// A \c bool arc map must be specified, which defines the filter for
 		  /// the arcs. Only the arcs with \c true filter value are shown in the
 		  /// subdigraph. This adaptor conforms to the \ref concepts::Digraph
 		  /// "Digraph" concept.
 		  ///
 		  /// The adapted digraph can also be modified through this adaptor
 		  /// by adding or removing nodes or arcs, unless the \c GR template
 		  /// parameter is set to be \c const.
 		  ///
 		  /// This class provides only linear time counting for nodes and arcs.
 		  ///
 		  /// \tparam DGR The type of the adapted digraph.
 		  /// It must conform to the \ref concepts::Digraph "Digraph" concept.
 		  /// It can also be specified to be \c const.
 		  /// \tparam AF The type of the arc filter map.
 		  /// It must be a \c bool (or convertible) arc map of the
 		  /// adapted digraph. The default type is
 		  /// \ref concepts::Digraph::ArcMap "DGR::ArcMap<bool>".
 		  ///
 		  /// \note The \c Node and \c Arc types of this adaptor and the adapted
 		  /// digraph are convertible to each other.
 		#ifdef DOXYGEN
 		  template<typename DGR,
 		           typename AF>
 		  class FilterArcs {
 		#else
 		  template<typename DGR,
 		           typename AF = typename DGR::template ArcMap<bool> >
 		  class FilterArcs :
 		    public DigraphAdaptorExtender<
 		      SubDigraphBase<DGR, ConstMap<typename DGR::Node, Const<bool, true> >,
 		                     AF, false> > {
 		#endif
 		    typedef DigraphAdaptorExtender<
 		      SubDigraphBase<DGR, ConstMap<typename DGR::Node, Const<bool, true> >,
 		                     AF, false> > Parent;
 		  public:
 		    /// The type of the adapted digraph.
 		    typedef DGR Digraph;
 		    /// The type of the arc filter map.
 		    typedef AF ArcFilterMap;
 		    typedef typename Parent::Arc Arc;
 		  protected:
 		    ConstMap<typename DGR::Node, Const<bool, true> > const_true_map;
 		    FilterArcs() : const_true_map() {}
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Creates a subdigraph for the given digraph with the given arc
 		    /// filter map.
 		    FilterArcs(DGR& digraph, ArcFilterMap& arc_filter)
 		      : Parent(), const_true_map() {
 		      Parent::initialize(digraph, const_true_map, arc_filter);
+		    }
 		    /// \brief Sets the status of the given arc
 		    ///
 		    /// This function sets the status of the given arc.
 		    /// It is done by simply setting the assigned value of \c a
 		    /// to \c v in the arc filter map.
 		    void status(const Arc& a, bool v) const { Parent::status(a, v); }
 		    /// \brief Returns the status of the given arc
 		    ///
 		    /// This function returns the status of the given arc.
 		    /// It is \c true if the given arc is enabled (i.e. not hidden).
 		    bool status(const Arc& a) const { return Parent::status(a); }
 		    /// \brief Disables the given arc
 		    ///
 		    /// This function disables the given arc in the subdigraph,
 		    /// so the iteration jumps over it.
 		    /// It is the same as \ref status() "status(a, false)".
 		    void disable(const Arc& a) const { Parent::status(a, false); }
 		    /// \brief Enables the given arc
 		    ///
 		    /// This function enables the given arc in the subdigraph.
 		    /// It is the same as \ref status() "status(a, true)".
 		    void enable(const Arc& a) const { Parent::status(a, true); }
 		  };
 		  /// \brief Returns a read-only FilterArcs adaptor
 		  ///
 		  /// This function just returns a read-only \ref FilterArcs adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates FilterArcs
 		  template<typename DGR, typename AF>
 		  FilterArcs<const DGR, AF>
 		  filterArcs(const DGR& digraph, AF& arc_filter) {
 		    return FilterArcs<const DGR, AF>(digraph, arc_filter);
+		  }
 		  template<typename DGR, typename AF>
 		  FilterArcs<const DGR, const AF>
 		  filterArcs(const DGR& digraph, const AF& arc_filter) {
 		    return FilterArcs<const DGR, const AF>(digraph, arc_filter);
+		  }
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for hiding edges in a graph.
 		  ///
 		  /// FilterEdges adaptor can be used for hiding edges in a graph.
 		  /// A \c bool edge map must be specified, which defines the filter for
 		  /// the edges. Only the edges with \c true filter value are shown in the
 		  /// subgraph. This adaptor conforms to the \ref concepts::Graph
 		  /// "Graph" concept.
 		  ///
 		  /// The adapted graph can also be modified through this adaptor
 		  /// by adding or removing nodes or edges, unless the \c GR template
 		  /// parameter is set to be \c const.
 		  ///
 		  /// This class provides only linear time counting for nodes, edges and arcs.
 		  ///
 		  /// \tparam GR The type of the adapted graph.
 		  /// It must conform to the \ref concepts::Graph "Graph" concept.
 		  /// It can also be specified to be \c const.
 		  /// \tparam EF The type of the edge filter map.
 		  /// It must be a \c bool (or convertible) edge map of the
 		  /// adapted graph. The default type is
 		  /// \ref concepts::Graph::EdgeMap "GR::EdgeMap<bool>".
 		  ///
 		  /// \note The \c Node, \c Edge and \c Arc types of this adaptor and the
 		  /// adapted graph are convertible to each other.
 		#ifdef DOXYGEN
 		  template<typename GR,
 		           typename EF>
 		  class FilterEdges {
 		#else
 		  template<typename GR,
 		           typename EF = typename GR::template EdgeMap<bool> >
 		  class FilterEdges :
 		    public GraphAdaptorExtender<
 		      SubGraphBase<GR, ConstMap<typename GR::Node, Const<bool, true> >,
 		                   EF, false> > {
 		#endif
 		    typedef GraphAdaptorExtender<
 		      SubGraphBase<GR, ConstMap<typename GR::Node, Const<bool, true > >,
 		                   EF, false> > Parent;
 		  public:
 		    /// The type of the adapted graph.
 		    typedef GR Graph;
 		    /// The type of the edge filter map.
 		    typedef EF EdgeFilterMap;
 		    typedef typename Parent::Edge Edge;
 		  protected:
 		    ConstMap<typename GR::Node, Const<bool, true> > const_true_map;
 		    FilterEdges() : const_true_map(true) {
 		      Parent::setNodeFilterMap(const_true_map);
+		    }
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Creates a subgraph for the given graph with the given edge
 		    /// filter map.
 		    FilterEdges(GR& graph, EF& edge_filter)
 		      : Parent(), const_true_map() {
 		      Parent::initialize(graph, const_true_map, edge_filter);
+		    }
 		    /// \brief Sets the status of the given edge
 		    ///
 		    /// This function sets the status of the given edge.
 		    /// It is done by simply setting the assigned value of \c e
 		    /// to \c v in the edge filter map.
 		    void status(const Edge& e, bool v) const { Parent::status(e, v); }
 		    /// \brief Returns the status of the given edge
 		    ///
 		    /// This function returns the status of the given edge.
 		    /// It is \c true if the given edge is enabled (i.e. not hidden).
 		    bool status(const Edge& e) const { return Parent::status(e); }
 		    /// \brief Disables the given edge
 		    ///
 		    /// This function disables the given edge in the subgraph,
 		    /// so the iteration jumps over it.
 		    /// It is the same as \ref status() "status(e, false)".
 		    void disable(const Edge& e) const { Parent::status(e, false); }
 		    /// \brief Enables the given edge
 		    ///
 		    /// This function enables the given edge in the subgraph.
 		    /// It is the same as \ref status() "status(e, true)".
 		    void enable(const Edge& e) const { Parent::status(e, true); }
 		  };
 		  /// \brief Returns a read-only FilterEdges adaptor
 		  ///
 		  /// This function just returns a read-only \ref FilterEdges adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates FilterEdges
 		  template<typename GR, typename EF>
 		  FilterEdges<const GR, EF>
 		  filterEdges(const GR& graph, EF& edge_filter) {
 		    return FilterEdges<const GR, EF>(graph, edge_filter);
+		  }
 		  template<typename GR, typename EF>
 		  FilterEdges<const GR, const EF>
 		  filterEdges(const GR& graph, const EF& edge_filter) {
 		    return FilterEdges<const GR, const EF>(graph, edge_filter);
+		  }
 		  template <typename DGR>
 		  class UndirectorBase {
 		  public:
 		    typedef DGR Digraph;
 		    typedef UndirectorBase Adaptor;
 		    typedef True UndirectedTag;
 		    typedef typename Digraph::Arc Edge;
 		    typedef typename Digraph::Node Node;
 		    class Arc {
 		      friend class UndirectorBase;
 		    protected:
 		      Edge _edge;
 		      bool _forward;
 		      Arc(const Edge& edge, bool forward)
 		        : _edge(edge), _forward(forward) {}
 		    public:
 		      Arc() {}
 		      Arc(Invalid) : _edge(INVALID), _forward(true) {}
 		      operator const Edge&() const { return _edge; }
 		      bool operator==(const Arc &other) const {
 		        return _forward == other._forward && _edge == other._edge;
+		      }
 		      bool operator!=(const Arc &other) const {
 		        return _forward != other._forward || _edge != other._edge;
+		      }
 		      bool operator<(const Arc &other) const {
 		        return _forward < other._forward ||
 		          (_forward == other._forward && _edge < other._edge);
+		      }
 		    };
 		    void first(Node& n) const {
 		      _digraph->first(n);
+		    }
 		    void next(Node& n) const {
 		      _digraph->next(n);
+		    }
 		    void first(Arc& a) const {
 		      _digraph->first(a._edge);
 		      a._forward = true;
+		    }
 		    void next(Arc& a) const {
 		      if (a._forward) {
 		        a._forward = false;
 		      } else {
 		        _digraph->next(a._edge);
 		        a._forward = true;
+		      }
+		    }
 		    void first(Edge& e) const {
 		      _digraph->first(e);
+		    }
 		    void next(Edge& e) const {
 		      _digraph->next(e);
+		    }
 		    void firstOut(Arc& a, const Node& n) const {
 		      _digraph->firstIn(a._edge, n);
 		      if (a._edge != INVALID ) {
 		        a._forward = false;
 		      } else {
 		        _digraph->firstOut(a._edge, n);
 		        a._forward = true;
+		      }
+		    }
 		    void nextOut(Arc &a) const {
 		      if (!a._forward) {
 		        Node n = _digraph->target(a._edge);
 		        _digraph->nextIn(a._edge);
 		        if (a._edge == INVALID) {
 		          _digraph->firstOut(a._edge, n);
 		          a._forward = true;
+		        }
+		      }
 		      else {
 		        _digraph->nextOut(a._edge);
+		      }
+		    }
 		    void firstIn(Arc &a, const Node &n) const {
 		      _digraph->firstOut(a._edge, n);
 		      if (a._edge != INVALID ) {
 		        a._forward = false;
 		      } else {
 		        _digraph->firstIn(a._edge, n);
 		        a._forward = true;
+		      }
+		    }
 		    void nextIn(Arc &a) const {
 		      if (!a._forward) {
 		        Node n = _digraph->source(a._edge);
 		        _digraph->nextOut(a._edge);
 		        if (a._edge == INVALID ) {
 		          _digraph->firstIn(a._edge, n);
 		          a._forward = true;
+		        }
+		      }
 		      else {
 		        _digraph->nextIn(a._edge);
+		      }
+		    }
 		    void firstInc(Edge &e, bool &d, const Node &n) const {
 		      d = true;
 		      _digraph->firstOut(e, n);
 		      if (e != INVALID) return;
 		      d = false;
 		      _digraph->firstIn(e, n);
+		    }
 		    void nextInc(Edge &e, bool &d) const {
 		      if (d) {
 		        Node s = _digraph->source(e);
 		        _digraph->nextOut(e);
 		        if (e != INVALID) return;
 		        d = false;
 		        _digraph->firstIn(e, s);
 		      } else {
 		        _digraph->nextIn(e);
+		      }
+		    }
 		    Node u(const Edge& e) const {
 		      return _digraph->source(e);
+		    }
 		    Node v(const Edge& e) const {
 		      return _digraph->target(e);
+		    }
 		    Node source(const Arc &a) const {
 		      return a._forward ? _digraph->source(a._edge) : _digraph->target(a._edge);
+		    }
 		    Node target(const Arc &a) const {
 		      return a._forward ? _digraph->target(a._edge) : _digraph->source(a._edge);
+		    }
 		    static Arc direct(const Edge &e, bool d) {
 		      return Arc(e, d);
+		    }
 		    static bool direction(const Arc &a) { return a._forward; }
 		    Node nodeFromId(int ix) const { return _digraph->nodeFromId(ix); }
 		    Arc arcFromId(int ix) const {
 		      return direct(_digraph->arcFromId(ix >> 1), bool(ix & 1));
+		    }
 		    Edge edgeFromId(int ix) const { return _digraph->arcFromId(ix); }
 		    int id(const Node &n) const { return _digraph->id(n); }
 		    int id(const Arc &a) const {
 		      return  (_digraph->id(a) << 1) | (a._forward ? 1 : 0);
+		    }
 		    int id(const Edge &e) const { return _digraph->id(e); }
 		    int maxNodeId() const { return _digraph->maxNodeId(); }
 		    int maxArcId() const { return (_digraph->maxArcId() << 1) | 1; }
 		    int maxEdgeId() const { return _digraph->maxArcId(); }
 		    Node addNode() { return _digraph->addNode(); }
 		    Edge addEdge(const Node& u, const Node& v) {
 		      return _digraph->addArc(u, v);
+		    }
 		    void erase(const Node& i) { _digraph->erase(i); }
 		    void erase(const Edge& i) { _digraph->erase(i); }
 		    void clear() { _digraph->clear(); }
 		    typedef NodeNumTagIndicator<Digraph> NodeNumTag;
 		    int nodeNum() const { return _digraph->nodeNum(); }
 		    typedef ArcNumTagIndicator<Digraph> ArcNumTag;
 		    int arcNum() const { return 2 * _digraph->arcNum(); }
 		    typedef ArcNumTag EdgeNumTag;
 		    int edgeNum() const { return _digraph->arcNum(); }
 		    typedef FindArcTagIndicator<Digraph> FindArcTag;
 		    Arc findArc(Node s, Node t, Arc p = INVALID) const {
 		      if (p == INVALID) {
 		        Edge arc = _digraph->findArc(s, t);
 		        if (arc != INVALID) return direct(arc, true);
 		        arc = _digraph->findArc(t, s);
 		        if (arc != INVALID) return direct(arc, false);
 		      } else if (direction(p)) {
 		        Edge arc = _digraph->findArc(s, t, p);
 		        if (arc != INVALID) return direct(arc, true);
 		        arc = _digraph->findArc(t, s);
 		        if (arc != INVALID) return direct(arc, false);
 		      } else {
 		        Edge arc = _digraph->findArc(t, s, p);
 		        if (arc != INVALID) return direct(arc, false);
+		      }
 		      return INVALID;
+		    }
 		    typedef FindArcTag FindEdgeTag;
 		    Edge findEdge(Node s, Node t, Edge p = INVALID) const {
 		      if (s != t) {
 		        if (p == INVALID) {
 		          Edge arc = _digraph->findArc(s, t);
 		          if (arc != INVALID) return arc;
 		          arc = _digraph->findArc(t, s);
 		          if (arc != INVALID) return arc;
 		        } else if (_digraph->source(p) == s) {
 		          Edge arc = _digraph->findArc(s, t, p);
 		          if (arc != INVALID) return arc;
 		          arc = _digraph->findArc(t, s);
 		          if (arc != INVALID) return arc;
 		        } else {
 		          Edge arc = _digraph->findArc(t, s, p);
 		          if (arc != INVALID) return arc;
+		        }
 		      } else {
 		        return _digraph->findArc(s, t, p);
+		      }
 		      return INVALID;
+		    }
 		  private:
 		    template <typename V>
 		    class ArcMapBase {
 		    private:
 		      typedef typename DGR::template ArcMap<V> MapImpl;
 		    public:
 		      typedef typename MapTraits<MapImpl>::ReferenceMapTag ReferenceMapTag;
 		      typedef V Value;
 		      typedef Arc Key;
 		      typedef typename MapTraits<MapImpl>::ConstReturnValue ConstReturnValue;
 		      typedef typename MapTraits<MapImpl>::ReturnValue ReturnValue;
 		      typedef typename MapTraits<MapImpl>::ConstReturnValue ConstReference;
 		      typedef typename MapTraits<MapImpl>::ReturnValue Reference;
 		      ArcMapBase(const UndirectorBase<DGR>& adaptor) :
 		        _forward(*adaptor._digraph), _backward(*adaptor._digraph) {}
 		      ArcMapBase(const UndirectorBase<DGR>& adaptor, const V& value)
 		        : _forward(*adaptor._digraph, value),
 		          _backward(*adaptor._digraph, value) {}
 		      void set(const Arc& a, const V& value) {
 		        if (direction(a)) {
 		          _forward.set(a, value);
 		        } else {
 		          _backward.set(a, value);
+		        }
+		      }
 		      ConstReturnValue operator[](const Arc& a) const {
 		        if (direction(a)) {
 		          return _forward[a];
 		        } else {
 		          return _backward[a];
+		        }
+		      }
 		      ReturnValue operator[](const Arc& a) {
 		        if (direction(a)) {
 		          return _forward[a];
 		        } else {
 		          return _backward[a];
+		        }
+		      }
 		    protected:
 		      MapImpl _forward, _backward;
 		    };
 		  public:
 		    template <typename V>
 		    class NodeMap : public DGR::template NodeMap<V> {
 		      typedef typename DGR::template NodeMap<V> Parent;
 		    public:
 		      typedef V Value;
 		      explicit NodeMap(const UndirectorBase<DGR>& adaptor)
 		        : Parent(*adaptor._digraph) {}
 		      NodeMap(const UndirectorBase<DGR>& adaptor, const V& value)
 		        : Parent(*adaptor._digraph, value) { }
 		    private:
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class ArcMap
 		      : public SubMapExtender<UndirectorBase<DGR>, ArcMapBase<V> > {
 		      typedef SubMapExtender<UndirectorBase<DGR>, ArcMapBase<V> > Parent;
 		    public:
 		      typedef V Value;
 		      explicit ArcMap(const UndirectorBase<DGR>& adaptor)
 		        : Parent(adaptor) {}
 		      ArcMap(const UndirectorBase<DGR>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      ArcMap& operator=(const ArcMap& cmap) {
 		        return operator=<ArcMap>(cmap);
+		      }
 		      template <typename CMap>
 		      ArcMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class EdgeMap : public Digraph::template ArcMap<V> {
 		      typedef typename Digraph::template ArcMap<V> Parent;
 		    public:
 		      typedef V Value;
 		      explicit EdgeMap(const UndirectorBase<DGR>& adaptor)
 		        : Parent(*adaptor._digraph) {}
 		      EdgeMap(const UndirectorBase<DGR>& adaptor, const V& value)
 		        : Parent(*adaptor._digraph, value) {}
 		    private:
 		      EdgeMap& operator=(const EdgeMap& cmap) {
 		        return operator=<EdgeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      EdgeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    typedef typename ItemSetTraits<DGR, Node>::ItemNotifier NodeNotifier;
 		    NodeNotifier& notifier(Node) const { return _digraph->notifier(Node()); }
 		    typedef typename ItemSetTraits<DGR, Edge>::ItemNotifier EdgeNotifier;
 		    EdgeNotifier& notifier(Edge) const { return _digraph->notifier(Edge()); }
 		    typedef EdgeNotifier ArcNotifier;
 		    ArcNotifier& notifier(Arc) const { return _digraph->notifier(Edge()); }
 		  protected:
 		    UndirectorBase() : _digraph(0) {}
 		    DGR* _digraph;
 		    void initialize(DGR& digraph) {
 		      _digraph = &digraph;
+		    }
 		  };
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for viewing a digraph as an undirected graph.
 		  ///
 		  /// Undirector adaptor can be used for viewing a digraph as an undirected
 		  /// graph. All arcs of the underlying digraph are showed in the
 		  /// adaptor as an edge (and also as a pair of arcs, of course).
 		  /// This adaptor conforms to the \ref concepts::Graph "Graph" concept.
 		  ///
 		  /// The adapted digraph can also be modified through this adaptor
 		  /// by adding or removing nodes or edges, unless the \c GR template
 		  /// parameter is set to be \c const.
 		  ///
 		  /// This class provides item counting in the same time as the adapted
 		  /// digraph structure.
 		  ///
 		  /// \tparam DGR The type of the adapted digraph.
 		  /// It must conform to the \ref concepts::Digraph "Digraph" concept.
 		  /// It can also be specified to be \c const.
 		  ///
 		  /// \note The \c Node type of this adaptor and the adapted digraph are
 		  /// convertible to each other, moreover the \c Edge type of the adaptor
 		  /// and the \c Arc type of the adapted digraph are also convertible to
 		  /// each other.
 		  /// (Thus the \c Arc type of the adaptor is convertible to the \c Arc type
 		  /// of the adapted digraph.)
 		  template<typename DGR>
 		#ifdef DOXYGEN
 		  class Undirector {
 		#else
 		  class Undirector :
 		    public GraphAdaptorExtender<UndirectorBase<DGR> > {
 		#endif
 		    typedef GraphAdaptorExtender<UndirectorBase<DGR> > Parent;
 		  public:
 		    /// The type of the adapted digraph.
 		    typedef DGR Digraph;
 		  protected:
 		    Undirector() { }
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Creates an undirected graph from the given digraph.
 		    Undirector(DGR& digraph) {
 		      initialize(digraph);
+		    }
 		    /// \brief Arc map combined from two original arc maps
 		    ///
 		    /// This map adaptor class adapts two arc maps of the underlying
 		    /// digraph to get an arc map of the undirected graph.
 		    /// Its value type is inherited from the first arc map type (\c FW).
 		    /// \tparam FW The type of the "foward" arc map.
 		    /// \tparam BK The type of the "backward" arc map.
 		    template <typename FW, typename BK>
 		    class CombinedArcMap {
 		    public:
 		      /// The key type of the map
 		      typedef typename Parent::Arc Key;
 		      /// The value type of the map
 		      typedef typename FW::Value Value;
 		      typedef typename MapTraits<FW>::ReferenceMapTag ReferenceMapTag;
 		      typedef typename MapTraits<FW>::ReturnValue ReturnValue;
 		      typedef typename MapTraits<FW>::ConstReturnValue ConstReturnValue;
 		      typedef typename MapTraits<FW>::ReturnValue Reference;
 		      typedef typename MapTraits<FW>::ConstReturnValue ConstReference;
 		      /// Constructor
 		      CombinedArcMap(FW& forward, BK& backward)
 		        : _forward(&forward), _backward(&backward) {}
 		      /// Sets the value associated with the given key.
 		      void set(const Key& e, const Value& a) {
 		        if (Parent::direction(e)) {
 		          _forward->set(e, a);
 		        } else {
 		          _backward->set(e, a);
+		        }
+		      }
 		      /// Returns the value associated with the given key.
 		      ConstReturnValue operator[](const Key& e) const {
 		        if (Parent::direction(e)) {
 		          return (*_forward)[e];
 		        } else {
 		          return (*_backward)[e];
+		        }
+		      }
 		      /// Returns a reference to the value associated with the given key.
 		      ReturnValue operator[](const Key& e) {
 		        if (Parent::direction(e)) {
 		          return (*_forward)[e];
 		        } else {
 		          return (*_backward)[e];
+		        }
+		      }
 		    protected:
 		      FW* _forward;
 		      BK* _backward;
 		    };
 		    /// \brief Returns a combined arc map
 		    ///
 		    /// This function just returns a combined arc map.
 		    template <typename FW, typename BK>
 		    static CombinedArcMap<FW, BK>
 		    combinedArcMap(FW& forward, BK& backward) {
 		      return CombinedArcMap<FW, BK>(forward, backward);
+		    }
 		    template <typename FW, typename BK>
 		    static CombinedArcMap<const FW, BK>
 		    combinedArcMap(const FW& forward, BK& backward) {
 		      return CombinedArcMap<const FW, BK>(forward, backward);
+		    }
 		    template <typename FW, typename BK>
 		    static CombinedArcMap<FW, const BK>
 		    combinedArcMap(FW& forward, const BK& backward) {
 		      return CombinedArcMap<FW, const BK>(forward, backward);
+		    }
 		    template <typename FW, typename BK>
 		    static CombinedArcMap<const FW, const BK>
 		    combinedArcMap(const FW& forward, const BK& backward) {
 		      return CombinedArcMap<const FW, const BK>(forward, backward);
+		    }
 		  };
 		  /// \brief Returns a read-only Undirector adaptor
 		  ///
 		  /// This function just returns a read-only \ref Undirector adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates Undirector
 		  template<typename DGR>
 		  Undirector<const DGR> undirector(const DGR& digraph) {
 		    return Undirector<const DGR>(digraph);
+		  }
 		  template <typename GR, typename DM>
 		  class OrienterBase {
 		  public:
 		    typedef GR Graph;
 		    typedef DM DirectionMap;
 		    typedef typename GR::Node Node;
 		    typedef typename GR::Edge Arc;
 		    void reverseArc(const Arc& arc) {
 		      _direction->set(arc, !(*_direction)[arc]);
+		    }
 		    void first(Node& i) const { _graph->first(i); }
 		    void first(Arc& i) const { _graph->first(i); }
 		    void firstIn(Arc& i, const Node& n) const {
 		      bool d = true;
 		      _graph->firstInc(i, d, n);
 		      while (i != INVALID && d == (*_direction)[i]) _graph->nextInc(i, d);
+		    }
 		    void firstOut(Arc& i, const Node& n ) const {
 		      bool d = true;
 		      _graph->firstInc(i, d, n);
 		      while (i != INVALID && d != (*_direction)[i]) _graph->nextInc(i, d);
+		    }
 		    void next(Node& i) const { _graph->next(i); }
 		    void next(Arc& i) const { _graph->next(i); }
 		    void nextIn(Arc& i) const {
 		      bool d = !(*_direction)[i];
 		      _graph->nextInc(i, d);
 		      while (i != INVALID && d == (*_direction)[i]) _graph->nextInc(i, d);
+		    }
 		    void nextOut(Arc& i) const {
 		      bool d = (*_direction)[i];
 		      _graph->nextInc(i, d);
 		      while (i != INVALID && d != (*_direction)[i]) _graph->nextInc(i, d);
+		    }
 		    Node source(const Arc& e) const {
 		      return (*_direction)[e] ? _graph->u(e) : _graph->v(e);
+		    }
 		    Node target(const Arc& e) const {
 		      return (*_direction)[e] ? _graph->v(e) : _graph->u(e);
+		    }
 		    typedef NodeNumTagIndicator<Graph> NodeNumTag;
 		    int nodeNum() const { return _graph->nodeNum(); }
 		    typedef EdgeNumTagIndicator<Graph> ArcNumTag;
 		    int arcNum() const { return _graph->edgeNum(); }
 		    typedef FindEdgeTagIndicator<Graph> FindArcTag;
 		    Arc findArc(const Node& u, const Node& v,
 		                const Arc& prev = INVALID) const {
 		      Arc arc = _graph->findEdge(u, v, prev);
 		      while (arc != INVALID && source(arc) != u) {
 		        arc = _graph->findEdge(u, v, arc);
+		      }
 		      return arc;
+		    }
 		    Node addNode() {
 		      return Node(_graph->addNode());
+		    }
 		    Arc addArc(const Node& u, const Node& v) {
 		      Arc arc = _graph->addEdge(u, v);
 		      _direction->set(arc, _graph->u(arc) == u);
 		      return arc;
+		    }
 		    void erase(const Node& i) { _graph->erase(i); }
 		    void erase(const Arc& i) { _graph->erase(i); }
 		    void clear() { _graph->clear(); }
 		    int id(const Node& v) const { return _graph->id(v); }
 		    int id(const Arc& e) const { return _graph->id(e); }
 		    Node nodeFromId(int idx) const { return _graph->nodeFromId(idx); }
 		    Arc arcFromId(int idx) const { return _graph->edgeFromId(idx); }
 		    int maxNodeId() const { return _graph->maxNodeId(); }
 		    int maxArcId() const { return _graph->maxEdgeId(); }
 		    typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
 		    NodeNotifier& notifier(Node) const { return _graph->notifier(Node()); }
 		    typedef typename ItemSetTraits<GR, Arc>::ItemNotifier ArcNotifier;
 		    ArcNotifier& notifier(Arc) const { return _graph->notifier(Arc()); }
 		    template <typename V>
 		    class NodeMap : public GR::template NodeMap<V> {
 		      typedef typename GR::template NodeMap<V> Parent;
 		    public:
 		      explicit NodeMap(const OrienterBase<GR, DM>& adapter)
 		        : Parent(*adapter._graph) {}
 		      NodeMap(const OrienterBase<GR, DM>& adapter, const V& value)
 		        : Parent(*adapter._graph, value) {}
 		    private:
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class ArcMap : public GR::template EdgeMap<V> {
 		      typedef typename Graph::template EdgeMap<V> Parent;
 		    public:
 		      explicit ArcMap(const OrienterBase<GR, DM>& adapter)
 		        : Parent(*adapter._graph) { }
 		      ArcMap(const OrienterBase<GR, DM>& adapter, const V& value)
 		        : Parent(*adapter._graph, value) { }
 		    private:
 		      ArcMap& operator=(const ArcMap& cmap) {
 		        return operator=<ArcMap>(cmap);
+		      }
 		      template <typename CMap>
 		      ArcMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  protected:
 		    Graph* _graph;
 		    DM* _direction;
 		    void initialize(GR& graph, DM& direction) {
 		      _graph = &graph;
 		      _direction = &direction;
+		    }
 		  };
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for orienting the edges of a graph to get a digraph
 		  ///
 		  /// Orienter adaptor can be used for orienting the edges of a graph to
 		  /// get a digraph. A \c bool edge map of the underlying graph must be
 		  /// specified, which define the direction of the arcs in the adaptor.
 		  /// The arcs can be easily reversed by the \c reverseArc() member function
 		  /// of the adaptor.
 		  /// This class conforms to the \ref concepts::Digraph "Digraph" concept.
 		  ///
 		  /// The adapted graph can also be modified through this adaptor
 		  /// by adding or removing nodes or arcs, unless the \c GR template
 		  /// parameter is set to be \c const.
 		  ///
 		  /// This class provides item counting in the same time as the adapted
 		  /// graph structure.
 		  ///
 		  /// \tparam GR The type of the adapted graph.
 		  /// It must conform to the \ref concepts::Graph "Graph" concept.
 		  /// It can also be specified to be \c const.
 		  /// \tparam DM The type of the direction map.
 		  /// It must be a \c bool (or convertible) edge map of the
 		  /// adapted graph. The default type is
 		  /// \ref concepts::Graph::EdgeMap "GR::EdgeMap<bool>".
 		  ///
 		  /// \note The \c Node type of this adaptor and the adapted graph are
 		  /// convertible to each other, moreover the \c Arc type of the adaptor
 		  /// and the \c Edge type of the adapted graph are also convertible to
 		  /// each other.
 		#ifdef DOXYGEN
 		  template<typename GR,
 		           typename DM>
 		  class Orienter {
 		#else
 		  template<typename GR,
 		           typename DM = typename GR::template EdgeMap<bool> >
 		  class Orienter :
 		    public DigraphAdaptorExtender<OrienterBase<GR, DM> > {
 		#endif
 		    typedef DigraphAdaptorExtender<OrienterBase<GR, DM> > Parent;
 		  public:
 		    /// The type of the adapted graph.
 		    typedef GR Graph;
 		    /// The type of the direction edge map.
 		    typedef DM DirectionMap;
 		    typedef typename Parent::Arc Arc;
 		  protected:
 		    Orienter() { }
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Constructor of the adaptor.
 		    Orienter(GR& graph, DM& direction) {
 		      Parent::initialize(graph, direction);
+		    }
 		    /// \brief Reverses the given arc
 		    ///
 		    /// This function reverses the given arc.
 		    /// It is done by simply negate the assigned value of \c a
 		    /// in the direction map.
 		    void reverseArc(const Arc& a) {
 		      Parent::reverseArc(a);
+		    }
 		  };
 		  /// \brief Returns a read-only Orienter adaptor
 		  ///
 		  /// This function just returns a read-only \ref Orienter adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates Orienter
 		  template<typename GR, typename DM>
 		  Orienter<const GR, DM>
 		  orienter(const GR& graph, DM& direction) {
 		    return Orienter<const GR, DM>(graph, direction);
+		  }
 		  template<typename GR, typename DM>
 		  Orienter<const GR, const DM>
 		  orienter(const GR& graph, const DM& direction) {
 		    return Orienter<const GR, const DM>(graph, direction);
+		  }
 		  namespace _adaptor_bits {
 		    template <typename DGR, typename CM, typename FM, typename TL>
 		    class ResForwardFilter {
 		    public:
 		      typedef typename DGR::Arc Key;
 		      typedef bool Value;
 		    private:
 		      const CM* _capacity;
 		      const FM* _flow;
 		      TL _tolerance;
 		    public:
 		      ResForwardFilter(const CM& capacity, const FM& flow,
 		                       const TL& tolerance = TL())
 		        : _capacity(&capacity), _flow(&flow), _tolerance(tolerance) { }
 		      bool operator[](const typename DGR::Arc& a) const {
 		        return _tolerance.positive((*_capacity)[a] - (*_flow)[a]);
+		      }
 		    };
 		    template<typename DGR,typename CM, typename FM, typename TL>
 		    class ResBackwardFilter {
 		    public:
 		      typedef typename DGR::Arc Key;
 		      typedef bool Value;
 		    private:
 		      const CM* _capacity;
 		      const FM* _flow;
 		      TL _tolerance;
 		    public:
 		      ResBackwardFilter(const CM& capacity, const FM& flow,
 		                        const TL& tolerance = TL())
 		        : _capacity(&capacity), _flow(&flow), _tolerance(tolerance) { }
 		      bool operator[](const typename DGR::Arc& a) const {
 		        return _tolerance.positive((*_flow)[a]);
+		      }
 		    };
+		  }
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for composing the residual digraph for directed
 		  /// flow and circulation problems.
 		  ///
 		  /// ResidualDigraph can be used for composing the \e residual digraph
 		  /// for directed flow and circulation problems. Let \f$ G=(V, A) \f$
 		  /// be a directed graph and let \f$ F \f$ be a number type.
 		  /// Let \f$ flow, cap: A\to F \f$ be functions on the arcs.
 		  /// This adaptor implements a digraph structure with node set \f$ V \f$
 		  /// and arc set \f$ A_{forward}\cup A_{backward} \f$,
 		  /// where \f$ A_{forward}=\{uv : uv\in A, flow(uv)<cap(uv)\} \f$ and
 		  /// \f$ A_{backward}=\{vu : uv\in A, flow(uv)>0\} \f$, i.e. the so
 		  /// called residual digraph.
 		  /// When the union \f$ A_{forward}\cup A_{backward} \f$ is taken,
 		  /// multiplicities are counted, i.e. the adaptor has exactly
 		  /// \f$ |A_{forward}| + |A_{backward}|\f$ arcs (it may have parallel
 		  /// arcs).
 		  /// This class conforms to the \ref concepts::Digraph "Digraph" concept.
 		  ///
 		  /// This class provides only linear time counting for nodes and arcs.
 		  ///
 		  /// \tparam DGR The type of the adapted digraph.
 		  /// It must conform to the \ref concepts::Digraph "Digraph" concept.
 		  /// It is implicitly \c const.
 		  /// \tparam CM The type of the capacity map.
 		  /// It must be an arc map of some numerical type, which defines
 		  /// the capacities in the flow problem. It is implicitly \c const.
 		  /// The default type is
 		  /// \ref concepts::Digraph::ArcMap "GR::ArcMap<int>".
 		  /// \tparam FM The type of the flow map.
 		  /// It must be an arc map of some numerical type, which defines
 		  /// the flow values in the flow problem. The default type is \c CM.
 		  /// \tparam TL The tolerance type for handling inexact computation.
 		  /// The default tolerance type depends on the value type of the
 		  /// capacity map.
 		  ///
 		  /// \note This adaptor is implemented using Undirector and FilterArcs
 		  /// adaptors.
 		  ///
 		  /// \note The \c Node type of this adaptor and the adapted digraph are
 		  /// convertible to each other, moreover the \c Arc type of the adaptor
 		  /// is convertible to the \c Arc type of the adapted digraph.
 		#ifdef DOXYGEN
 		  template<typename DGR, typename CM, typename FM, typename TL>
 		  class ResidualDigraph
 		#else
 		  template<typename DGR,
 		           typename CM = typename DGR::template ArcMap<int>,
 		           typename FM = CM,
 		           typename TL = Tolerance<typename CM::Value> >
 		  class ResidualDigraph
 		    : public SubDigraph<
 		        Undirector<const DGR>,
 		        ConstMap<typename DGR::Node, Const<bool, true> >,
 		        typename Undirector<const DGR>::template CombinedArcMap<
 		          _adaptor_bits::ResForwardFilter<const DGR, CM, FM, TL>,
 		          _adaptor_bits::ResBackwardFilter<const DGR, CM, FM, TL> > >
 		#endif
+		  {
 		  public:
 		    /// The type of the underlying digraph.
 		    typedef DGR Digraph;
 		    /// The type of the capacity map.
 		    typedef CM CapacityMap;
 		    /// The type of the flow map.
 		    typedef FM FlowMap;
 		    /// The tolerance type.
 		    typedef TL Tolerance;
 		    typedef typename CapacityMap::Value Value;
 		    typedef ResidualDigraph Adaptor;
 		  protected:
 		    typedef Undirector<const Digraph> Undirected;
 		    typedef ConstMap<typename DGR::Node, Const<bool, true> > NodeFilter;
 		    typedef _adaptor_bits::ResForwardFilter<const DGR, CM,
 		                                            FM, TL> ForwardFilter;
 		    typedef _adaptor_bits::ResBackwardFilter<const DGR, CM,
 		                                             FM, TL> BackwardFilter;
 		    typedef typename Undirected::
 		      template CombinedArcMap<ForwardFilter, BackwardFilter> ArcFilter;
 		    typedef SubDigraph<Undirected, NodeFilter, ArcFilter> Parent;
 		    const CapacityMap* _capacity;
 		    FlowMap* _flow;
 		    Undirected _graph;
 		    NodeFilter _node_filter;
 		    ForwardFilter _forward_filter;
 		    BackwardFilter _backward_filter;
 		    ArcFilter _arc_filter;
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Constructor of the residual digraph adaptor. The parameters are the
 		    /// digraph, the capacity map, the flow map, and a tolerance object.
 		    ResidualDigraph(const DGR& digraph, const CM& capacity,
 		                    FM& flow, const TL& tolerance = Tolerance())
 		      : Parent(), _capacity(&capacity), _flow(&flow),
 		        _graph(digraph), _node_filter(),
 		        _forward_filter(capacity, flow, tolerance),
 		        _backward_filter(capacity, flow, tolerance),
 		        _arc_filter(_forward_filter, _backward_filter)
+		    {
 		      Parent::initialize(_graph, _node_filter, _arc_filter);
+		    }
 		    typedef typename Parent::Arc Arc;
 		    /// \brief Returns the residual capacity of the given arc.
 		    ///
 		    /// Returns the residual capacity of the given arc.
 		    Value residualCapacity(const Arc& a) const {
 		      if (Undirected::direction(a)) {
 		        return (*_capacity)[a] - (*_flow)[a];
 		      } else {
 		        return (*_flow)[a];
+		      }
+		    }
 		    /// \brief Augments on the given arc in the residual digraph.
 		    ///
 		    /// Augments on the given arc in the residual digraph. It increases
 		    /// or decreases the flow value on the original arc according to the
 		    /// direction of the residual arc.
 		    void augment(const Arc& a, const Value& v) const {
 		      if (Undirected::direction(a)) {
 		        _flow->set(a, (*_flow)[a] + v);
 		      } else {
 		        _flow->set(a, (*_flow)[a] - v);
+		      }
+		    }
 		    /// \brief Returns \c true if the given residual arc is a forward arc.
 		    ///
 		    /// Returns \c true if the given residual arc has the same orientation
 		    /// as the original arc, i.e. it is a so called forward arc.
 		    static bool forward(const Arc& a) {
 		      return Undirected::direction(a);
+		    }
 		    /// \brief Returns \c true if the given residual arc is a backward arc.
 		    ///
 		    /// Returns \c true if the given residual arc has the opposite orientation
 		    /// than the original arc, i.e. it is a so called backward arc.
 		    static bool backward(const Arc& a) {
 		      return !Undirected::direction(a);
+		    }
 		    /// \brief Returns the forward oriented residual arc.
 		    ///
 		    /// Returns the forward oriented residual arc related to the given
 		    /// arc of the underlying digraph.
 		    static Arc forward(const typename Digraph::Arc& a) {
 		      return Undirected::direct(a, true);
+		    }
 		    /// \brief Returns the backward oriented residual arc.
 		    ///
 		    /// Returns the backward oriented residual arc related to the given
 		    /// arc of the underlying digraph.
 		    static Arc backward(const typename Digraph::Arc& a) {
 		      return Undirected::direct(a, false);
+		    }
 		    /// \brief Residual capacity map.
 		    ///
 		    /// This map adaptor class can be used for obtaining the residual
 		    /// capacities as an arc map of the residual digraph.
 		    /// Its value type is inherited from the capacity map.
 		    class ResidualCapacity {
 		    protected:
 		      const Adaptor* _adaptor;
 		    public:
 		      /// The key type of the map
 		      typedef Arc Key;
 		      /// The value type of the map
 		      typedef typename CapacityMap::Value Value;
 		      /// Constructor
 		      ResidualCapacity(const ResidualDigraph<DGR, CM, FM, TL>& adaptor)
 		        : _adaptor(&adaptor) {}
 		      /// Returns the value associated with the given residual arc
 		      Value operator[](const Arc& a) const {
 		        return _adaptor->residualCapacity(a);
+		      }
 		    };
 		    /// \brief Returns a residual capacity map
 		    ///
 		    /// This function just returns a residual capacity map.
 		    ResidualCapacity residualCapacity() const {
 		      return ResidualCapacity(*this);
+		    }
 		  };
 		  /// \brief Returns a (read-only) Residual adaptor
 		  ///
 		  /// This function just returns a (read-only) \ref ResidualDigraph adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates ResidualDigraph
 		    template<typename DGR, typename CM, typename FM>
 		  ResidualDigraph<DGR, CM, FM>
 		  residualDigraph(const DGR& digraph, const CM& capacity_map, FM& flow_map) {
 		    return ResidualDigraph<DGR, CM, FM> (digraph, capacity_map, flow_map);
+		  }
 		  template <typename DGR>
 		  class SplitNodesBase {
 		    typedef DigraphAdaptorBase<const DGR> Parent;
 		  public:
 		    typedef DGR Digraph;
 		    typedef SplitNodesBase Adaptor;
 		    typedef typename DGR::Node DigraphNode;
 		    typedef typename DGR::Arc DigraphArc;
 		    class Node;
 		    class Arc;
 		  private:
 		    template <typename T> class NodeMapBase;
 		    template <typename T> class ArcMapBase;
 		  public:
 		    class Node : public DigraphNode {
 		      friend class SplitNodesBase;
 		      template <typename T> friend class NodeMapBase;
 		    private:
 		      bool _in;
 		      Node(DigraphNode node, bool in)
 		        : DigraphNode(node), _in(in) {}
 		    public:
 		      Node() {}
 		      Node(Invalid) : DigraphNode(INVALID), _in(true) {}
 		      bool operator==(const Node& node) const {
 		        return DigraphNode::operator==(node) && _in == node._in;
+		      }
 		      bool operator!=(const Node& node) const {
 		        return !(*this == node);
+		      }
 		      bool operator<(const Node& node) const {
 		        return DigraphNode::operator<(node) ||
 		          (DigraphNode::operator==(node) && _in < node._in);
+		      }
 		    };
 		    class Arc {
 		      friend class SplitNodesBase;
 		      template <typename T> friend class ArcMapBase;
 		    private:
 		      typedef BiVariant<DigraphArc, DigraphNode> ArcImpl;
 		      explicit Arc(const DigraphArc& arc) : _item(arc) {}
 		      explicit Arc(const DigraphNode& node) : _item(node) {}
 		      ArcImpl _item;
 		    public:
 		      Arc() {}
 		      Arc(Invalid) : _item(DigraphArc(INVALID)) {}
 		      bool operator==(const Arc& arc) const {
 		        if (_item.firstState()) {
 		          if (arc._item.firstState()) {
 		            return _item.first() == arc._item.first();
+		          }
 		        } else {
 		          if (arc._item.secondState()) {
 		            return _item.second() == arc._item.second();
+		          }
+		        }
 		        return false;
+		      }
 		      bool operator!=(const Arc& arc) const {
 		        return !(*this == arc);
+		      }
 		      bool operator<(const Arc& arc) const {
 		        if (_item.firstState()) {
 		          if (arc._item.firstState()) {
 		            return _item.first() < arc._item.first();
+		          }
 		          return false;
 		        } else {
 		          if (arc._item.secondState()) {
 		            return _item.second() < arc._item.second();
+		          }
 		          return true;
+		        }
+		      }
 		      operator DigraphArc() const { return _item.first(); }
 		      operator DigraphNode() const { return _item.second(); }
 		    };
 		    void first(Node& n) const {
 		      _digraph->first(n);
 		      n._in = true;
+		    }
 		    void next(Node& n) const {
 		      if (n._in) {
 		        n._in = false;
 		      } else {
 		        n._in = true;
 		        _digraph->next(n);
+		      }
+		    }
 		    void first(Arc& e) const {
 		      e._item.setSecond();
 		      _digraph->first(e._item.second());
 		      if (e._item.second() == INVALID) {
 		        e._item.setFirst();
 		        _digraph->first(e._item.first());
+		      }
+		    }
 		    void next(Arc& e) const {
 		      if (e._item.secondState()) {
 		        _digraph->next(e._item.second());
 		        if (e._item.second() == INVALID) {
 		          e._item.setFirst();
 		          _digraph->first(e._item.first());
+		        }
 		      } else {
 		        _digraph->next(e._item.first());
+		      }
+		    }
 		    void firstOut(Arc& e, const Node& n) const {
 		      if (n._in) {
 		        e._item.setSecond(n);
 		      } else {
 		        e._item.setFirst();
 		        _digraph->firstOut(e._item.first(), n);
+		      }
+		    }
 		    void nextOut(Arc& e) const {
 		      if (!e._item.firstState()) {
 		        e._item.setFirst(INVALID);
 		      } else {
 		        _digraph->nextOut(e._item.first());
+		      }
+		    }
 		    void firstIn(Arc& e, const Node& n) const {
 		      if (!n._in) {
 		        e._item.setSecond(n);
 		      } else {
 		        e._item.setFirst();
 		        _digraph->firstIn(e._item.first(), n);
+		      }
+		    }
 		    void nextIn(Arc& e) const {
 		      if (!e._item.firstState()) {
 		        e._item.setFirst(INVALID);
 		      } else {
 		        _digraph->nextIn(e._item.first());
+		      }
+		    }
 		    Node source(const Arc& e) const {
 		      if (e._item.firstState()) {
 		        return Node(_digraph->source(e._item.first()), false);
 		      } else {
 		        return Node(e._item.second(), true);
+		      }
+		    }
 		    Node target(const Arc& e) const {
 		      if (e._item.firstState()) {
 		        return Node(_digraph->target(e._item.first()), true);
 		      } else {
 		        return Node(e._item.second(), false);
+		      }
+		    }
 		    int id(const Node& n) const {
 		      return (_digraph->id(n) << 1) | (n._in ? 0 : 1);
+		    }
 		    Node nodeFromId(int ix) const {
 		      return Node(_digraph->nodeFromId(ix >> 1), (ix & 1) == 0);
+		    }
 		    int maxNodeId() const {
 		      return 2 * _digraph->maxNodeId() + 1;
+		    }
 		    int id(const Arc& e) const {
 		      if (e._item.firstState()) {
 		        return _digraph->id(e._item.first()) << 1;
 		      } else {
 		        return (_digraph->id(e._item.second()) << 1) | 1;
+		      }
+		    }
 		    Arc arcFromId(int ix) const {
 		      if ((ix & 1) == 0) {
 		        return Arc(_digraph->arcFromId(ix >> 1));
 		      } else {
 		        return Arc(_digraph->nodeFromId(ix >> 1));
+		      }
+		    }
 		    int maxArcId() const {
 		      return std::max(_digraph->maxNodeId() << 1,
 		                      (_digraph->maxArcId() << 1) | 1);
+		    }
 		    static bool inNode(const Node& n) {
 		      return n._in;
+		    }
 		    static bool outNode(const Node& n) {
 		      return !n._in;
+		    }
 		    static bool origArc(const Arc& e) {
 		      return e._item.firstState();
+		    }
 		    static bool bindArc(const Arc& e) {
 		      return e._item.secondState();
+		    }
 		    static Node inNode(const DigraphNode& n) {
 		      return Node(n, true);
+		    }
 		    static Node outNode(const DigraphNode& n) {
 		      return Node(n, false);
+		    }
 		    static Arc arc(const DigraphNode& n) {
 		      return Arc(n);
+		    }
 		    static Arc arc(const DigraphArc& e) {
 		      return Arc(e);
+		    }
 		    typedef True NodeNumTag;
 		    int nodeNum() const {
 		      return  2 * countNodes(*_digraph);
+		    }
 		    typedef True ArcNumTag;
 		    int arcNum() const {
 		      return countArcs(*_digraph) + countNodes(*_digraph);
+		    }
 		    typedef True FindArcTag;
 		    Arc findArc(const Node& u, const Node& v,
 		                const Arc& prev = INVALID) const {
 		      if (inNode(u) && outNode(v)) {
 		        if (static_cast<const DigraphNode&>(u) ==
 		            static_cast<const DigraphNode&>(v) && prev == INVALID) {
 		          return Arc(u);
+		        }
+		      }
 		      else if (outNode(u) && inNode(v)) {
 		        return Arc(::lemon::findArc(*_digraph, u, v, prev));
+		      }
 		      return INVALID;
+		    }
 		  private:
 		    template <typename V>
 		    class NodeMapBase
 		      : public MapTraits<typename Parent::template NodeMap<V> > {
 		      typedef typename Parent::template NodeMap<V> NodeImpl;
 		    public:
 		      typedef Node Key;
 		      typedef V Value;
 		      typedef typename MapTraits<NodeImpl>::ReferenceMapTag ReferenceMapTag;
 		      typedef typename MapTraits<NodeImpl>::ReturnValue ReturnValue;
 		      typedef typename MapTraits<NodeImpl>::ConstReturnValue ConstReturnValue;
 		      typedef typename MapTraits<NodeImpl>::ReturnValue Reference;
 		      typedef typename MapTraits<NodeImpl>::ConstReturnValue ConstReference;
 		      NodeMapBase(const SplitNodesBase<DGR>& adaptor)
 		        : _in_map(*adaptor._digraph), _out_map(*adaptor._digraph) {}
 		      NodeMapBase(const SplitNodesBase<DGR>& adaptor, const V& value)
 		        : _in_map(*adaptor._digraph, value),
 		          _out_map(*adaptor._digraph, value) {}
 		      void set(const Node& key, const V& val) {
 		        if (SplitNodesBase<DGR>::inNode(key)) { _in_map.set(key, val); }
 		        else {_out_map.set(key, val); }
+		      }
 		      ReturnValue operator[](const Node& key) {
 		        if (SplitNodesBase<DGR>::inNode(key)) { return _in_map[key]; }
 		        else { return _out_map[key]; }
+		      }
 		      ConstReturnValue operator[](const Node& key) const {
 		        if (Adaptor::inNode(key)) { return _in_map[key]; }
 		        else { return _out_map[key]; }
+		      }
 		    private:
 		      NodeImpl _in_map, _out_map;
 		    };
 		    template <typename V>
 		    class ArcMapBase
 		      : public MapTraits<typename Parent::template ArcMap<V> > {
 		      typedef typename Parent::template ArcMap<V> ArcImpl;
 		      typedef typename Parent::template NodeMap<V> NodeImpl;
 		    public:
 		      typedef Arc Key;
 		      typedef V Value;
 		      typedef typename MapTraits<ArcImpl>::ReferenceMapTag ReferenceMapTag;
 		      typedef typename MapTraits<ArcImpl>::ReturnValue ReturnValue;
 		      typedef typename MapTraits<ArcImpl>::ConstReturnValue ConstReturnValue;
 		      typedef typename MapTraits<ArcImpl>::ReturnValue Reference;
 		      typedef typename MapTraits<ArcImpl>::ConstReturnValue ConstReference;
 		      ArcMapBase(const SplitNodesBase<DGR>& adaptor)
 		        : _arc_map(*adaptor._digraph), _node_map(*adaptor._digraph) {}
 		      ArcMapBase(const SplitNodesBase<DGR>& adaptor, const V& value)
 		        : _arc_map(*adaptor._digraph, value),
 		          _node_map(*adaptor._digraph, value) {}
 		      void set(const Arc& key, const V& val) {
 		        if (SplitNodesBase<DGR>::origArc(key)) {
 		          _arc_map.set(static_cast<const DigraphArc&>(key), val);
 		        } else {
 		          _node_map.set(static_cast<const DigraphNode&>(key), val);
+		        }
+		      }
 		      ReturnValue operator[](const Arc& key) {
 		        if (SplitNodesBase<DGR>::origArc(key)) {
 		          return _arc_map[static_cast<const DigraphArc&>(key)];
 		        } else {
 		          return _node_map[static_cast<const DigraphNode&>(key)];
+		        }
+		      }
 		      ConstReturnValue operator[](const Arc& key) const {
 		        if (SplitNodesBase<DGR>::origArc(key)) {
 		          return _arc_map[static_cast<const DigraphArc&>(key)];
 		        } else {
 		          return _node_map[static_cast<const DigraphNode&>(key)];
+		        }
+		      }
 		    private:
 		      ArcImpl _arc_map;
 		      NodeImpl _node_map;
 		    };
 		  public:
 		    template <typename V>
 		    class NodeMap
 		      : public SubMapExtender<SplitNodesBase<DGR>, NodeMapBase<V> > {
 		      typedef SubMapExtender<SplitNodesBase<DGR>, NodeMapBase<V> > Parent;
 		    public:
 		      typedef V Value;
 		      NodeMap(const SplitNodesBase<DGR>& adaptor)
 		        : Parent(adaptor) {}
 		      NodeMap(const SplitNodesBase<DGR>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		    template <typename V>
 		    class ArcMap
 		      : public SubMapExtender<SplitNodesBase<DGR>, ArcMapBase<V> > {
 		      typedef SubMapExtender<SplitNodesBase<DGR>, ArcMapBase<V> > Parent;
 		    public:
 		      typedef V Value;
 		      ArcMap(const SplitNodesBase<DGR>& adaptor)
 		        : Parent(adaptor) {}
 		      ArcMap(const SplitNodesBase<DGR>& adaptor, const V& value)
 		        : Parent(adaptor, value) {}
 		    private:
 		      ArcMap& operator=(const ArcMap& cmap) {
 		        return operator=<ArcMap>(cmap);
+		      }
 		      template <typename CMap>
 		      ArcMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  protected:
 		    SplitNodesBase() : _digraph(0) {}
 		    DGR* _digraph;
 		    void initialize(Digraph& digraph) {
 		      _digraph = &digraph;
+		    }
 		  };
 		  /// \ingroup graph_adaptors
 		  ///
 		  /// \brief Adaptor class for splitting the nodes of a digraph.
 		  ///
 		  /// SplitNodes adaptor can be used for splitting each node into an
 		  /// \e in-node and an \e out-node in a digraph. Formaly, the adaptor
 		  /// replaces each node \f$ u \f$ in the digraph with two nodes,
 		  /// namely node \f$ u_{in} \f$ and node \f$ u_{out} \f$.
 		  /// If there is a \f$ (v, u) \f$ arc in the original digraph, then the
 		  /// new target of the arc will be \f$ u_{in} \f$ and similarly the
 		  /// source of each original \f$ (u, v) \f$ arc will be \f$ u_{out} \f$.
 		  /// The adaptor adds an additional \e bind \e arc from \f$ u_{in} \f$
 		  /// to \f$ u_{out} \f$ for each node \f$ u \f$ of the original digraph.
 		  ///
 		  /// The aim of this class is running an algorithm with respect to node
 		  /// costs or capacities if the algorithm considers only arc costs or
 		  /// capacities directly.
 		  /// In this case you can use \c SplitNodes adaptor, and set the node
 		  /// costs/capacities of the original digraph to the \e bind \e arcs
 		  /// in the adaptor.
 		  ///
 		  /// This class provides item counting in the same time as the adapted
 		  /// digraph structure.
 		  ///
 		  /// \tparam DGR The type of the adapted digraph.
 		  /// It must conform to the \ref concepts::Digraph "Digraph" concept.
 		  /// It is implicitly \c const.
 		  ///
 		  /// \note The \c Node type of this adaptor is converible to the \c Node
 		  /// type of the adapted digraph.
 		  template <typename DGR>
 		#ifdef DOXYGEN
 		  class SplitNodes {
 		#else
 		  class SplitNodes
 		    : public DigraphAdaptorExtender<SplitNodesBase<const DGR> > {
 		#endif
 		    typedef DigraphAdaptorExtender<SplitNodesBase<const DGR> > Parent;
 		  public:
 		    typedef DGR Digraph;
 		    typedef typename DGR::Node DigraphNode;
 		    typedef typename DGR::Arc DigraphArc;
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		    /// \brief Constructor
 		    ///
 		    /// Constructor of the adaptor.
 		    SplitNodes(const DGR& g) {
 		      Parent::initialize(g);
+		    }
 		    /// \brief Returns \c true if the given node is an in-node.
 		    ///
 		    /// Returns \c true if the given node is an in-node.
 		    static bool inNode(const Node& n) {
 		      return Parent::inNode(n);
+		    }
 		    /// \brief Returns \c true if the given node is an out-node.
 		    ///
 		    /// Returns \c true if the given node is an out-node.
 		    static bool outNode(const Node& n) {
 		      return Parent::outNode(n);
+		    }
 		    /// \brief Returns \c true if the given arc is an original arc.
 		    ///
 		    /// Returns \c true if the given arc is one of the arcs in the
 		    /// original digraph.
 		    static bool origArc(const Arc& a) {
 		      return Parent::origArc(a);
+		    }
 		    /// \brief Returns \c true if the given arc is a bind arc.
 		    ///
 		    /// Returns \c true if the given arc is a bind arc, i.e. it connects
 		    /// an in-node and an out-node.
 		    static bool bindArc(const Arc& a) {
 		      return Parent::bindArc(a);
+		    }
 		    /// \brief Returns the in-node created from the given original node.
 		    ///
 		    /// Returns the in-node created from the given original node.
 		    static Node inNode(const DigraphNode& n) {
 		      return Parent::inNode(n);
+		    }
 		    /// \brief Returns the out-node created from the given original node.
 		    ///
 		    /// Returns the out-node created from the given original node.
 		    static Node outNode(const DigraphNode& n) {
 		      return Parent::outNode(n);
+		    }
 		    /// \brief Returns the bind arc that corresponds to the given
 		    /// original node.
 		    ///
 		    /// Returns the bind arc in the adaptor that corresponds to the given
 		    /// original node, i.e. the arc connecting the in-node and out-node
 		    /// of \c n.
 		    static Arc arc(const DigraphNode& n) {
 		      return Parent::arc(n);
+		    }
 		    /// \brief Returns the arc that corresponds to the given original arc.
 		    ///
 		    /// Returns the arc in the adaptor that corresponds to the given
 		    /// original arc.
 		    static Arc arc(const DigraphArc& a) {
 		      return Parent::arc(a);
+		    }
 		    /// \brief Node map combined from two original node maps
 		    ///
 		    /// This map adaptor class adapts two node maps of the original digraph
 		    /// to get a node map of the split digraph.
 		    /// Its value type is inherited from the first node map type (\c IN).
 		    /// \tparam IN The type of the node map for the in-nodes.
 		    /// \tparam OUT The type of the node map for the out-nodes.
 		    template <typename IN, typename OUT>
 		    class CombinedNodeMap {
 		    public:
 		      /// The key type of the map
 		      typedef Node Key;
 		      /// The value type of the map
 		      typedef typename IN::Value Value;
 		      typedef typename MapTraits<IN>::ReferenceMapTag ReferenceMapTag;
 		      typedef typename MapTraits<IN>::ReturnValue ReturnValue;
 		      typedef typename MapTraits<IN>::ConstReturnValue ConstReturnValue;
 		      typedef typename MapTraits<IN>::ReturnValue Reference;
 		      typedef typename MapTraits<IN>::ConstReturnValue ConstReference;
 		      /// Constructor
 		      CombinedNodeMap(IN& in_map, OUT& out_map)
 		        : _in_map(in_map), _out_map(out_map) {}
 		      /// Returns the value associated with the given key.
 		      Value operator[](const Key& key) const {
 		        if (SplitNodesBase<const DGR>::inNode(key)) {
 		          return _in_map[key];
 		        } else {
 		          return _out_map[key];
+		        }
+		      }
 		      /// Returns a reference to the value associated with the given key.
 		      Value& operator[](const Key& key) {
 		        if (SplitNodesBase<const DGR>::inNode(key)) {
 		          return _in_map[key];
 		        } else {
 		          return _out_map[key];
+		        }
+		      }
 		      /// Sets the value associated with the given key.
 		      void set(const Key& key, const Value& value) {
 		        if (SplitNodesBase<const DGR>::inNode(key)) {
 		          _in_map.set(key, value);
 		        } else {
 		          _out_map.set(key, value);
+		        }
+		      }
 		    private:
 		      IN& _in_map;
 		      OUT& _out_map;
 		    };
 		    /// \brief Returns a combined node map
 		    ///
 		    /// This function just returns a combined node map.
 		    template <typename IN, typename OUT>
 		    static CombinedNodeMap<IN, OUT>
 		    combinedNodeMap(IN& in_map, OUT& out_map) {
 		      return CombinedNodeMap<IN, OUT>(in_map, out_map);
+		    }
 		    template <typename IN, typename OUT>
 		    static CombinedNodeMap<const IN, OUT>
 		    combinedNodeMap(const IN& in_map, OUT& out_map) {
 		      return CombinedNodeMap<const IN, OUT>(in_map, out_map);
+		    }
 		    template <typename IN, typename OUT>
 		    static CombinedNodeMap<IN, const OUT>
 		    combinedNodeMap(IN& in_map, const OUT& out_map) {
 		      return CombinedNodeMap<IN, const OUT>(in_map, out_map);
+		    }
 		    template <typename IN, typename OUT>
 		    static CombinedNodeMap<const IN, const OUT>
 		    combinedNodeMap(const IN& in_map, const OUT& out_map) {
 		      return CombinedNodeMap<const IN, const OUT>(in_map, out_map);
+		    }
 		    /// \brief Arc map combined from an arc map and a node map of the
 		    /// original digraph.
 		    ///
 		    /// This map adaptor class adapts an arc map and a node map of the
 		    /// original digraph to get an arc map of the split digraph.
 		    /// Its value type is inherited from the original arc map type (\c AM).
 		    /// \tparam AM The type of the arc map.
 		    /// \tparam NM the type of the node map.
 		    template <typename AM, typename NM>
 		    class CombinedArcMap {
 		    public:
 		      /// The key type of the map
 		      typedef Arc Key;
 		      /// The value type of the map
 		      typedef typename AM::Value Value;
 		      typedef typename MapTraits<AM>::ReferenceMapTag ReferenceMapTag;
 		      typedef typename MapTraits<AM>::ReturnValue ReturnValue;
 		      typedef typename MapTraits<AM>::ConstReturnValue ConstReturnValue;
 		      typedef typename MapTraits<AM>::ReturnValue Reference;
 		      typedef typename MapTraits<AM>::ConstReturnValue ConstReference;
 		      /// Constructor
 		      CombinedArcMap(AM& arc_map, NM& node_map)
 		        : _arc_map(arc_map), _node_map(node_map) {}
 		      /// Returns the value associated with the given key.
 		      Value operator[](const Key& arc) const {
 		        if (SplitNodesBase<const DGR>::origArc(arc)) {
 		          return _arc_map[arc];
 		        } else {
 		          return _node_map[arc];
+		        }
+		      }
 		      /// Returns a reference to the value associated with the given key.
 		      Value& operator[](const Key& arc) {
 		        if (SplitNodesBase<const DGR>::origArc(arc)) {
 		          return _arc_map[arc];
 		        } else {
 		          return _node_map[arc];
+		        }
+		      }
 		      /// Sets the value associated with the given key.
 		      void set(const Arc& arc, const Value& val) {
 		        if (SplitNodesBase<const DGR>::origArc(arc)) {
 		          _arc_map.set(arc, val);
 		        } else {
 		          _node_map.set(arc, val);
+		        }
+		      }
 		    private:
 		      AM& _arc_map;
 		      NM& _node_map;
 		    };
 		    /// \brief Returns a combined arc map
 		    ///
 		    /// This function just returns a combined arc map.
 		    template <typename ArcMap, typename NodeMap>
 		    static CombinedArcMap<ArcMap, NodeMap>
 		    combinedArcMap(ArcMap& arc_map, NodeMap& node_map) {
 		      return CombinedArcMap<ArcMap, NodeMap>(arc_map, node_map);
+		    }
 		    template <typename ArcMap, typename NodeMap>
 		    static CombinedArcMap<const ArcMap, NodeMap>
 		    combinedArcMap(const ArcMap& arc_map, NodeMap& node_map) {
 		      return CombinedArcMap<const ArcMap, NodeMap>(arc_map, node_map);
+		    }
 		    template <typename ArcMap, typename NodeMap>
 		    static CombinedArcMap<ArcMap, const NodeMap>
 		    combinedArcMap(ArcMap& arc_map, const NodeMap& node_map) {
 		      return CombinedArcMap<ArcMap, const NodeMap>(arc_map, node_map);
+		    }
 		    template <typename ArcMap, typename NodeMap>
 		    static CombinedArcMap<const ArcMap, const NodeMap>
 		    combinedArcMap(const ArcMap& arc_map, const NodeMap& node_map) {
 		      return CombinedArcMap<const ArcMap, const NodeMap>(arc_map, node_map);
+		    }
 		  };
 		  /// \brief Returns a (read-only) SplitNodes adaptor
 		  ///
 		  /// This function just returns a (read-only) \ref SplitNodes adaptor.
 		  /// \ingroup graph_adaptors
 		  /// \relates SplitNodes
 		  template<typename DGR>
 		  SplitNodes<DGR>
 		  splitNodes(const DGR& digraph) {
 		    return SplitNodes<DGR>(digraph);
+		  }
 		#undef LEMON_SCOPE_FIX
 		} //namespace lemon
 		#endif //LEMON_ADAPTORS_H

lemon/bfs.h

Show inline comments

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

lemon/dfs.h

Show inline comments

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

lemon/dijkstra.h

Show inline comments

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

lemon/edge_set.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_EDGE_SET_H
 		#define LEMON_EDGE_SET_H
 		#include <lemon/core.h>
 		#include <lemon/bits/edge_set_extender.h>
 		/// \ingroup graphs
 		/// \file
 		/// \brief ArcSet and EdgeSet classes.
 		///
 		/// Graphs which use another graph's node-set as own.
 		namespace lemon {
 		  template <typename GR>
 		  class ListArcSetBase {
 		  public:
 		    typedef typename GR::Node Node;
 		    typedef typename GR::NodeIt NodeIt;
 		  protected:
 		    struct NodeT {
 		      int first_out, first_in;
 		      NodeT() : first_out(-1), first_in(-1) {}
 		    };
 		    typedef typename ItemSetTraits<GR, Node>::
 		    template Map<NodeT>::Type NodesImplBase;
 		    NodesImplBase* _nodes;
 		    struct ArcT {
 		      Node source, target;
 		      int next_out, next_in;
 		      int prev_out, prev_in;
 		      ArcT() : prev_out(-1), prev_in(-1) {}
 		    };
 		    std::vector<ArcT> arcs;
 		    int first_arc;
 		    int first_free_arc;
 		    const GR* _graph;
 		    void initalize(const GR& graph, NodesImplBase& nodes) {
 		      _graph = &graph;
 		      _nodes = &nodes;
+		    }
 		  public:
 		    class Arc {
 		      friend class ListArcSetBase<GR>;
 		    protected:
 		      Arc(int _id) : id(_id) {}
 		      int id;
 		    public:
 		      Arc() {}
 		      Arc(Invalid) : id(-1) {}
 		      bool operator==(const Arc& arc) const { return id == arc.id; }
 		      bool operator!=(const Arc& arc) const { return id != arc.id; }
 		      bool operator<(const Arc& arc) const { return id < arc.id; }
 		    };
 		    ListArcSetBase() : first_arc(-1), first_free_arc(-1) {}
 		    Node addNode() {
 		      LEMON_ASSERT(false,
 		        "This graph structure does not support node insertion");
 		      return INVALID; // avoid warning
+		    }
 		    Arc addArc(const Node& u, const Node& v) {
 		      int n;
 		      if (first_free_arc == -1) {
 		        n = arcs.size();
 		        arcs.push_back(ArcT());
 		      } else {
 		        n = first_free_arc;
 		        first_free_arc = arcs[first_free_arc].next_in;
+		      }
 		      arcs[n].next_in = (*_nodes)[v].first_in;
 		      if ((*_nodes)[v].first_in != -1) {
 		        arcs[(*_nodes)[v].first_in].prev_in = n;
+		      }
 		      (*_nodes)[v].first_in = n;
 		      arcs[n].next_out = (*_nodes)[u].first_out;
 		      if ((*_nodes)[u].first_out != -1) {
 		        arcs[(*_nodes)[u].first_out].prev_out = n;
+		      }
 		      (*_nodes)[u].first_out = n;
 		      arcs[n].source = u;
 		      arcs[n].target = v;
 		      return Arc(n);
+		    }
 		    void erase(const Arc& arc) {
 		      int n = arc.id;
 		      if (arcs[n].prev_in != -1) {
 		        arcs[arcs[n].prev_in].next_in = arcs[n].next_in;
 		      } else {
 		        (*_nodes)[arcs[n].target].first_in = arcs[n].next_in;
+		      }
 		      if (arcs[n].next_in != -1) {
 		        arcs[arcs[n].next_in].prev_in = arcs[n].prev_in;
+		      }
 		      if (arcs[n].prev_out != -1) {
 		        arcs[arcs[n].prev_out].next_out = arcs[n].next_out;
 		      } else {
 		        (*_nodes)[arcs[n].source].first_out = arcs[n].next_out;
+		      }
 		      if (arcs[n].next_out != -1) {
 		        arcs[arcs[n].next_out].prev_out = arcs[n].prev_out;
+		      }
+		    }
 		    void clear() {
 		      Node node;
 		      for (first(node); node != INVALID; next(node)) {
 		        (*_nodes)[node].first_in = -1;
 		        (*_nodes)[node].first_out = -1;
+		      }
 		      arcs.clear();
 		      first_arc = -1;
 		      first_free_arc = -1;
+		    }
 		    void first(Node& node) const {
 		      _graph->first(node);
+		    }
 		    void next(Node& node) const {
 		      _graph->next(node);
+		    }
 		    void first(Arc& arc) const {
 		      Node node;
 		      first(node);
 		      while (node != INVALID && (*_nodes)[node].first_in == -1) {
 		        next(node);
+		      }
 		      arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_in;
+		    }
 		    void next(Arc& arc) const {
 		      if (arcs[arc.id].next_in != -1) {
 		        arc.id = arcs[arc.id].next_in;
 		      } else {
 		        Node node = arcs[arc.id].target;
 		        next(node);
 		        while (node != INVALID && (*_nodes)[node].first_in == -1) {
 		          next(node);
+		        }
 		        arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_in;
+		      }
+		    }
 		    void firstOut(Arc& arc, const Node& node) const {
 		      arc.id = (*_nodes)[node].first_out;
+		    }
 		    void nextOut(Arc& arc) const {
 		      arc.id = arcs[arc.id].next_out;
+		    }
 		    void firstIn(Arc& arc, const Node& node) const {
 		      arc.id = (*_nodes)[node].first_in;
+		    }
 		    void nextIn(Arc& arc) const {
 		      arc.id = arcs[arc.id].next_in;
+		    }
 		    int id(const Node& node) const { return _graph->id(node); }
 		    int id(const Arc& arc) const { return arc.id; }
 		    Node nodeFromId(int ix) const { return _graph->nodeFromId(ix); }
 		    Arc arcFromId(int ix) const { return Arc(ix); }
 		    int maxNodeId() const { return _graph->maxNodeId(); };
 		    int maxArcId() const { return arcs.size() - 1; }
 		    Node source(const Arc& arc) const { return arcs[arc.id].source;}
 		    Node target(const Arc& arc) const { return arcs[arc.id].target;}
 		    typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
 		    NodeNotifier& notifier(Node) const {
 		      return _graph->notifier(Node());
+		    }
 		    template <typename V>
 		    class NodeMap : public GR::template NodeMap<V> {
 		      typedef typename GR::template NodeMap<V> Parent;
 		    public:
 		      explicit NodeMap(const ListArcSetBase<GR>& arcset)
 		        : Parent(*arcset._graph) {}
 		      NodeMap(const ListArcSetBase<GR>& arcset, const V& value)
 		        : Parent(*arcset._graph, value) {}
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  /// \ingroup graphs
 		  ///
 		  /// \brief Digraph using a node set of another digraph or graph and
 		  /// an own arc set.
 		  ///
 		  /// This structure can be used to establish another directed graph
 		  /// over a node set of an existing one. This class uses the same
 		  /// Node type as the underlying graph, and each valid node of the
 		  /// original graph is valid in this arc set, therefore the node
 		  /// objects of the original graph can be used directly with this
 		  /// class. The node handling functions (id handling, observing, and
 		  /// iterators) works equivalently as in the original graph.
 		  ///
 		  /// This implementation is based on doubly-linked lists, from each
 		  /// node the outgoing and the incoming arcs make up lists, therefore
 		  /// one arc can be erased in constant time. It also makes possible,
 		  /// that node can be removed from the underlying graph, in this case
 		  /// all arcs incident to the given node is erased from the arc set.
 		  ///
 		  /// This class fully conforms to the \ref concepts::Digraph
 		  /// "Digraph" concept.
 		  /// It provides only linear time counting for nodes and arcs.
 		  ///
 		  /// \param GR The type of the graph which shares its node set with
 		  /// this class. Its interface must conform to the
 		  /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
 		  /// concept.
 		  ///
 		  /// This class fully conforms to the \ref concepts::Digraph
 		  /// "Digraph" concept.
 		  template <typename GR>
 		  class ListArcSet : public ArcSetExtender<ListArcSetBase<GR> > {
 		    typedef ArcSetExtender<ListArcSetBase<GR> > Parent;
 		  public:
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		    typedef typename Parent::NodesImplBase NodesImplBase;
 		    void eraseNode(const Node& node) {
 		      Arc arc;
 		      Parent::firstOut(arc, node);
 		      while (arc != INVALID ) {
 		        erase(arc);
 		        Parent::firstOut(arc, node);
+		      }
 		      Parent::firstIn(arc, node);
 		      while (arc != INVALID ) {
 		        erase(arc);
 		        Parent::firstIn(arc, node);
+		      }
+		    }
 		    void clearNodes() {
 		      Parent::clear();
+		    }
 		    class NodesImpl : public NodesImplBase {
 		      typedef NodesImplBase Parent;
 		    public:
 		      NodesImpl(const GR& graph, ListArcSet& arcset)
 		        : Parent(graph), _arcset(arcset) {}
 		      virtual ~NodesImpl() {}
 		    protected:
 		      virtual void erase(const Node& node) {
 		        _arcset.eraseNode(node);
 		        Parent::erase(node);
+		      }
 		      virtual void erase(const std::vector<Node>& nodes) {
 		        for (int i = 0; i < int(nodes.size()); ++i) {
 		          _arcset.eraseNode(nodes[i]);
+		        }
 		        Parent::erase(nodes);
+		      }
 		      virtual void clear() {
 		        _arcset.clearNodes();
 		        Parent::clear();
+		      }
 		    private:
 		      ListArcSet& _arcset;
 		    };
 		    NodesImpl _nodes;
 		  public:
 		    /// \brief Constructor of the ArcSet.
 		    ///
 		    /// Constructor of the ArcSet.
 		    ListArcSet(const GR& graph) : _nodes(graph, *this) {
 		      Parent::initalize(graph, _nodes);
+		    }
 		    /// \brief Add a new arc to the digraph.
 		    ///
 		    /// Add a new arc to the digraph with source node \c s
 		    /// and target node \c t.
 		    /// \return The new arc.
 		    Arc addArc(const Node& s, const Node& t) {
 		      return Parent::addArc(s, t);
+		    }
 		    /// \brief Erase an arc from the digraph.
 		    ///
 		    /// Erase an arc \c a from the digraph.
 		    void erase(const Arc& a) {
 		      return Parent::erase(a);
+		    }
 		  };
 		  template <typename GR>
 		  class ListEdgeSetBase {
 		  public:
 		    typedef typename GR::Node Node;
 		    typedef typename GR::NodeIt NodeIt;
 		  protected:
 		    struct NodeT {
 		      int first_out;
 		      NodeT() : first_out(-1) {}
 		    };
 		    typedef typename ItemSetTraits<GR, Node>::
 		    template Map<NodeT>::Type NodesImplBase;
 		    NodesImplBase* _nodes;
 		    struct ArcT {
 		      Node target;
 		      int prev_out, next_out;
 		      ArcT() : prev_out(-1), next_out(-1) {}
 		    };
 		    std::vector<ArcT> arcs;
 		    int first_arc;
 		    int first_free_arc;
 		    const GR* _graph;
 		    void initalize(const GR& graph, NodesImplBase& nodes) {
 		      _graph = &graph;
 		      _nodes = &nodes;
+		    }
 		  public:
 		    class Edge {
 		      friend class ListEdgeSetBase;
 		    protected:
 		      int id;
 		      explicit Edge(int _id) { id = _id;}
 		    public:
 		      Edge() {}
 		      Edge (Invalid) { id = -1; }
 		      bool operator==(const Edge& arc) const {return id == arc.id;}
 		      bool operator!=(const Edge& arc) const {return id != arc.id;}
 		      bool operator<(const Edge& arc) const {return id < arc.id;}
 		    };
 		    class Arc {
 		      friend class ListEdgeSetBase;
 		    protected:
 		      Arc(int _id) : id(_id) {}
 		      int id;
 		    public:
 		      operator Edge() const { return edgeFromId(id / 2); }
 		      Arc() {}
 		      Arc(Invalid) : id(-1) {}
 		      bool operator==(const Arc& arc) const { return id == arc.id; }
 		      bool operator!=(const Arc& arc) const { return id != arc.id; }
 		      bool operator<(const Arc& arc) const { return id < arc.id; }
 		    };
 		    ListEdgeSetBase() : first_arc(-1), first_free_arc(-1) {}
 		    Node addNode() {
 		      LEMON_ASSERT(false,
 		        "This graph structure does not support node insertion");
 		      return INVALID; // avoid warning
+		    }
 		    Edge addEdge(const Node& u, const Node& v) {
 		      int n;
 		      if (first_free_arc == -1) {
 		        n = arcs.size();
 		        arcs.push_back(ArcT());
 		        arcs.push_back(ArcT());
 		      } else {
 		        n = first_free_arc;
 		        first_free_arc = arcs[n].next_out;
+		      }
 		      arcs[n].target = u;
 		      arcs[n | 1].target = v;
 		      arcs[n].next_out = (*_nodes)[v].first_out;
 		      if ((*_nodes)[v].first_out != -1) {
 		        arcs[(*_nodes)[v].first_out].prev_out = n;
+		      }
 		      (*_nodes)[v].first_out = n;
 		      arcs[n].prev_out = -1;
 		      if ((*_nodes)[u].first_out != -1) {
 		        arcs[(*_nodes)[u].first_out].prev_out = (n | 1);
+		      }
 		      arcs[n | 1].next_out = (*_nodes)[u].first_out;
 		      (*_nodes)[u].first_out = (n | 1);
 		      arcs[n | 1].prev_out = -1;
 		      return Edge(n / 2);
+		    }
 		    void erase(const Edge& arc) {
 		      int n = arc.id * 2;
 		      if (arcs[n].next_out != -1) {
 		        arcs[arcs[n].next_out].prev_out = arcs[n].prev_out;
+		      }
 		      if (arcs[n].prev_out != -1) {
 		        arcs[arcs[n].prev_out].next_out = arcs[n].next_out;
 		      } else {
 		        (*_nodes)[arcs[n | 1].target].first_out = arcs[n].next_out;
+		      }
 		      if (arcs[n | 1].next_out != -1) {
 		        arcs[arcs[n | 1].next_out].prev_out = arcs[n | 1].prev_out;
+		      }
 		      if (arcs[n | 1].prev_out != -1) {
 		        arcs[arcs[n | 1].prev_out].next_out = arcs[n | 1].next_out;
 		      } else {
 		        (*_nodes)[arcs[n].target].first_out = arcs[n | 1].next_out;
+		      }
 		      arcs[n].next_out = first_free_arc;
 		      first_free_arc = n;
+		    }
 		    void clear() {
 		      Node node;
 		      for (first(node); node != INVALID; next(node)) {
 		        (*_nodes)[node].first_out = -1;
+		      }
 		      arcs.clear();
 		      first_arc = -1;
 		      first_free_arc = -1;
+		    }
 		    void first(Node& node) const {
 		      _graph->first(node);
+		    }
 		    void next(Node& node) const {
 		      _graph->next(node);
+		    }
 		    void first(Arc& arc) const {
 		      Node node;
 		      first(node);
 		      while (node != INVALID && (*_nodes)[node].first_out == -1) {
 		        next(node);
+		      }
 		      arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_out;
+		    }
 		    void next(Arc& arc) const {
 		      if (arcs[arc.id].next_out != -1) {
 		        arc.id = arcs[arc.id].next_out;
 		      } else {
 		        Node node = arcs[arc.id ^ 1].target;
 		        next(node);
 		        while(node != INVALID && (*_nodes)[node].first_out == -1) {
 		          next(node);
+		        }
 		        arc.id = (node == INVALID) ? -1 : (*_nodes)[node].first_out;
+		      }
+		    }
 		    void first(Edge& edge) const {
 		      Node node;
 		      first(node);
 		      while (node != INVALID) {
 		        edge.id = (*_nodes)[node].first_out;
 		        while ((edge.id & 1) != 1) {
 		          edge.id = arcs[edge.id].next_out;
+		        }
 		        if (edge.id != -1) {
 		          edge.id /= 2;
 		          return;
+		        }
 		        next(node);
+		      }
 		      edge.id = -1;
+		    }
 		    void next(Edge& edge) const {
 		      Node node = arcs[edge.id * 2].target;
 		      edge.id = arcs[(edge.id * 2) | 1].next_out;
 		      while ((edge.id & 1) != 1) {
 		        edge.id = arcs[edge.id].next_out;
+		      }
 		      if (edge.id != -1) {
 		        edge.id /= 2;
 		        return;
+		      }
 		      next(node);
 		      while (node != INVALID) {
 		        edge.id = (*_nodes)[node].first_out;
 		        while ((edge.id & 1) != 1) {
 		          edge.id = arcs[edge.id].next_out;
+		        }
 		        if (edge.id != -1) {
 		          edge.id /= 2;
 		          return;
+		        }
 		        next(node);
+		      }
 		      edge.id = -1;
+		    }
 		    void firstOut(Arc& arc, const Node& node) const {
 		      arc.id = (*_nodes)[node].first_out;
+		    }
 		    void nextOut(Arc& arc) const {
 		      arc.id = arcs[arc.id].next_out;
+		    }
 		    void firstIn(Arc& arc, const Node& node) const {
 		      arc.id = (((*_nodes)[node].first_out) ^ 1);
 		      if (arc.id == -2) arc.id = -1;
+		    }
 		    void nextIn(Arc& arc) const {
 		      arc.id = ((arcs[arc.id ^ 1].next_out) ^ 1);
 		      if (arc.id == -2) arc.id = -1;
+		    }
 		    void firstInc(Edge &arc, bool& dir, const Node& node) const {
 		      int de = (*_nodes)[node].first_out;
 		      if (de != -1 ) {
 		        arc.id = de / 2;
 		        dir = ((de & 1) == 1);
 		      } else {
 		        arc.id = -1;
 		        dir = true;
+		      }
+		    }
 		    void nextInc(Edge &arc, bool& dir) const {
 		      int de = (arcs[(arc.id * 2) | (dir ? 1 : 0)].next_out);
 		      if (de != -1 ) {
 		        arc.id = de / 2;
 		        dir = ((de & 1) == 1);
 		      } else {
 		        arc.id = -1;
 		        dir = true;
+		      }
+		    }
 		    static bool direction(Arc arc) {
 		      return (arc.id & 1) == 1;
+		    }
 		    static Arc direct(Edge edge, bool dir) {
 		      return Arc(edge.id * 2 + (dir ? 1 : 0));
+		    }
 		    int id(const Node& node) const { return _graph->id(node); }
 		    static int id(Arc e) { return e.id; }
 		    static int id(Edge e) { return e.id; }
 		    Node nodeFromId(int id) const { return _graph->nodeFromId(id); }
 		    static Arc arcFromId(int id) { return Arc(id);}
 		    static Edge edgeFromId(int id) { return Edge(id);}
 		    int maxNodeId() const { return _graph->maxNodeId(); };
 		    int maxEdgeId() const { return arcs.size() / 2 - 1; }
 		    int maxArcId() const { return arcs.size()-1; }
 		    Node source(Arc e) const { return arcs[e.id ^ 1].target; }
 		    Node target(Arc e) const { return arcs[e.id].target; }
 		    Node u(Edge e) const { return arcs[2 * e.id].target; }
 		    Node v(Edge e) const { return arcs[2 * e.id + 1].target; }
 		    typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
 		    NodeNotifier& notifier(Node) const {
 		      return _graph->notifier(Node());
+		    }
 		    template <typename V>
 		    class NodeMap : public GR::template NodeMap<V> {
 		      typedef typename GR::template NodeMap<V> Parent;
 		    public:
 		      explicit NodeMap(const ListEdgeSetBase<GR>& arcset)
 		        : Parent(*arcset._graph) {}
 		      NodeMap(const ListEdgeSetBase<GR>& arcset, const V& value)
 		        : Parent(*arcset._graph, value) {}
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  /// \ingroup graphs
 		  ///
 		  /// \brief Graph using a node set of another digraph or graph and an
 		  /// own edge set.
 		  ///
 		  /// This structure can be used to establish another graph over a
 		  /// node set of an existing one. This class uses the same Node type
 		  /// as the underlying graph, and each valid node of the original
 		  /// graph is valid in this arc set, therefore the node objects of
 		  /// the original graph can be used directly with this class. The
 		  /// node handling functions (id handling, observing, and iterators)
 		  /// works equivalently as in the original graph.
 		  ///
 		  /// This implementation is based on doubly-linked lists, from each
 		  /// node the incident edges make up lists, therefore one edge can be
 		  /// erased in constant time. It also makes possible, that node can
 		  /// be removed from the underlying graph, in this case all edges
 		  /// incident to the given node is erased from the arc set.
 		  ///
 		  /// This class fully conforms to the \ref concepts::Graph "Graph"
 		  /// concept.
 		  /// It provides only linear time counting for nodes, edges and arcs.
 		  ///
 		  /// \param GR The type of the graph which shares its node set
 		  /// with this class. Its interface must conform to the
 		  /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
 		  /// concept.
 		  ///
 		  /// This class fully conforms to the \ref concepts::Graph "Graph"
 		  /// concept.
 		  template <typename GR>
 		  class ListEdgeSet : public EdgeSetExtender<ListEdgeSetBase<GR> > {
 		    typedef EdgeSetExtender<ListEdgeSetBase<GR> > Parent;
 		  public:
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		    typedef typename Parent::Edge Edge;
 		    typedef typename Parent::NodesImplBase NodesImplBase;
 		    void eraseNode(const Node& node) {
 		      Arc arc;
 		      Parent::firstOut(arc, node);
 		      while (arc != INVALID ) {
 		        erase(arc);
 		        Parent::firstOut(arc, node);
+		      }
+		    }
 		    void clearNodes() {
 		      Parent::clear();
+		    }
 		    class NodesImpl : public NodesImplBase {
 		      typedef NodesImplBase Parent;
 		    public:
 		      NodesImpl(const GR& graph, ListEdgeSet& arcset)
 		        : Parent(graph), _arcset(arcset) {}
 		      virtual ~NodesImpl() {}
 		    protected:
 		      virtual void erase(const Node& node) {
 		        _arcset.eraseNode(node);
 		        Parent::erase(node);
+		      }
 		      virtual void erase(const std::vector<Node>& nodes) {
 		        for (int i = 0; i < int(nodes.size()); ++i) {
 		          _arcset.eraseNode(nodes[i]);
+		        }
 		        Parent::erase(nodes);
+		      }
 		      virtual void clear() {
 		        _arcset.clearNodes();
 		        Parent::clear();
+		      }
 		    private:
 		      ListEdgeSet& _arcset;
 		    };
 		    NodesImpl _nodes;
 		  public:
 		    /// \brief Constructor of the EdgeSet.
 		    ///
 		    /// Constructor of the EdgeSet.
 		    ListEdgeSet(const GR& graph) : _nodes(graph, *this) {
 		      Parent::initalize(graph, _nodes);
+		    }
 		    /// \brief Add a new edge to the graph.
 		    ///
 		    /// Add a new edge to the graph with node \c u
 		    /// and node \c v endpoints.
 		    /// \return The new edge.
 		    Edge addEdge(const Node& u, const Node& v) {
 		      return Parent::addEdge(u, v);
+		    }
 		    /// \brief Erase an edge from the graph.
 		    ///
 		    /// Erase the edge \c e from the graph.
 		    void erase(const Edge& e) {
 		      return Parent::erase(e);
+		    }
 		  };
 		  template <typename GR>
 		  class SmartArcSetBase {
 		  public:
 		    typedef typename GR::Node Node;
 		    typedef typename GR::NodeIt NodeIt;
 		  protected:
 		    struct NodeT {
 		      int first_out, first_in;
 		      NodeT() : first_out(-1), first_in(-1) {}
 		    };
 		    typedef typename ItemSetTraits<GR, Node>::
 		    template Map<NodeT>::Type NodesImplBase;
 		    NodesImplBase* _nodes;
 		    struct ArcT {
 		      Node source, target;
 		      int next_out, next_in;
 		      ArcT() {}
 		    };
 		    std::vector<ArcT> arcs;
 		    const GR* _graph;
 		    void initalize(const GR& graph, NodesImplBase& nodes) {
 		      _graph = &graph;
 		      _nodes = &nodes;
+		    }
 		  public:
 		    class Arc {
 		      friend class SmartArcSetBase<GR>;
 		    protected:
 		      Arc(int _id) : id(_id) {}
 		      int id;
 		    public:
 		      Arc() {}
 		      Arc(Invalid) : id(-1) {}
 		      bool operator==(const Arc& arc) const { return id == arc.id; }
 		      bool operator!=(const Arc& arc) const { return id != arc.id; }
 		      bool operator<(const Arc& arc) const { return id < arc.id; }
 		    };
 		    SmartArcSetBase() {}
 		    Node addNode() {
 		      LEMON_ASSERT(false,
 		        "This graph structure does not support node insertion");
 		      return INVALID; // avoid warning
+		    }
 		    Arc addArc(const Node& u, const Node& v) {
 		      int n = arcs.size();
 		      arcs.push_back(ArcT());
 		      arcs[n].next_in = (*_nodes)[v].first_in;
 		      (*_nodes)[v].first_in = n;
 		      arcs[n].next_out = (*_nodes)[u].first_out;
 		      (*_nodes)[u].first_out = n;
 		      arcs[n].source = u;
 		      arcs[n].target = v;
 		      return Arc(n);
+		    }
 		    void clear() {
 		      Node node;
 		      for (first(node); node != INVALID; next(node)) {
 		        (*_nodes)[node].first_in = -1;
 		        (*_nodes)[node].first_out = -1;
+		      }
 		      arcs.clear();
+		    }
 		    void first(Node& node) const {
 		      _graph->first(node);
+		    }
 		    void next(Node& node) const {
 		      _graph->next(node);
+		    }
 		    void first(Arc& arc) const {
 		      arc.id = arcs.size() - 1;
+		    }
 		    static void next(Arc& arc) {
 		      --arc.id;
+		    }
 		    void firstOut(Arc& arc, const Node& node) const {
 		      arc.id = (*_nodes)[node].first_out;
+		    }
 		    void nextOut(Arc& arc) const {
 		      arc.id = arcs[arc.id].next_out;
+		    }
 		    void firstIn(Arc& arc, const Node& node) const {
 		      arc.id = (*_nodes)[node].first_in;
+		    }
 		    void nextIn(Arc& arc) const {
 		      arc.id = arcs[arc.id].next_in;
+		    }
 		    int id(const Node& node) const { return _graph->id(node); }
 		    int id(const Arc& arc) const { return arc.id; }
 		    Node nodeFromId(int ix) const { return _graph->nodeFromId(ix); }
 		    Arc arcFromId(int ix) const { return Arc(ix); }
 		    int maxNodeId() const { return _graph->maxNodeId(); };
 		    int maxArcId() const { return arcs.size() - 1; }
 		    Node source(const Arc& arc) const { return arcs[arc.id].source;}
 		    Node target(const Arc& arc) const { return arcs[arc.id].target;}
 		    typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
 		    NodeNotifier& notifier(Node) const {
 		      return _graph->notifier(Node());
+		    }
 		    template <typename V>
 		    class NodeMap : public GR::template NodeMap<V> {
 		      typedef typename GR::template NodeMap<V> Parent;
 		    public:
 		      explicit NodeMap(const SmartArcSetBase<GR>& arcset)
 		        : Parent(*arcset._graph) { }
 		      NodeMap(const SmartArcSetBase<GR>& arcset, const V& value)
 		        : Parent(*arcset._graph, value) { }
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  /// \ingroup graphs
 		  ///
 		  /// \brief Digraph using a node set of another digraph or graph and
 		  /// an own arc set.
 		  ///
 		  /// This structure can be used to establish another directed graph
 		  /// over a node set of an existing one. This class uses the same
 		  /// Node type as the underlying graph, and each valid node of the
 		  /// original graph is valid in this arc set, therefore the node
 		  /// objects of the original graph can be used directly with this
 		  /// class. The node handling functions (id handling, observing, and
 		  /// iterators) works equivalently as in the original graph.
 		  ///
 		  /// \param GR The type of the graph which shares its node set with
 		  /// this class. Its interface must conform to the
 		  /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
 		  /// concept.
 		  ///
 		  /// This implementation is slightly faster than the \c ListArcSet,
 		  /// because it uses continuous storage for arcs and it uses just
 		  /// single-linked lists for enumerate outgoing and incoming
 		  /// arcs. Therefore the arcs cannot be erased from the arc sets.
 		  ///
 		  /// This class fully conforms to the \ref concepts::Digraph "Digraph"
 		  /// concept.
 		  /// It provides only linear time counting for nodes and arcs.
 		  ///
 		  /// \warning If a node is erased from the underlying graph and this
 		  /// node is the source or target of one arc in the arc set, then
 		  /// the arc set is invalidated, and it cannot be used anymore. The
 		  /// validity can be checked with the \c valid() member function.
 		  ///
 		  /// This class fully conforms to the \ref concepts::Digraph
 		  /// "Digraph" concept.
 		  template <typename GR>
 		  class SmartArcSet : public ArcSetExtender<SmartArcSetBase<GR> > {
 		    typedef ArcSetExtender<SmartArcSetBase<GR> > Parent;
 		  public:
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		  protected:
 		    typedef typename Parent::NodesImplBase NodesImplBase;
 		    void eraseNode(const Node& node) {
 		      if (typename Parent::InArcIt(*this, node) == INVALID &&
 		          typename Parent::OutArcIt(*this, node) == INVALID) {
 		        return;
+		      }
 		      throw typename NodesImplBase::Notifier::ImmediateDetach();
+		    }
 		    void clearNodes() {
 		      Parent::clear();
+		    }
 		    class NodesImpl : public NodesImplBase {
 		      typedef NodesImplBase Parent;
 		    public:
 		      NodesImpl(const GR& graph, SmartArcSet& arcset)
 		        : Parent(graph), _arcset(arcset) {}
 		      virtual ~NodesImpl() {}
 		      bool attached() const {
 		        return Parent::attached();
+		      }
 		    protected:
 		      virtual void erase(const Node& node) {
 		        try {
 		          _arcset.eraseNode(node);
 		          Parent::erase(node);
 		        } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) {
 		          Parent::clear();
 		          throw;
+		        }
+		      }
 		      virtual void erase(const std::vector<Node>& nodes) {
 		        try {
 		          for (int i = 0; i < int(nodes.size()); ++i) {
 		            _arcset.eraseNode(nodes[i]);
+		          }
 		          Parent::erase(nodes);
 		        } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) {
 		          Parent::clear();
 		          throw;
+		        }
+		      }
 		      virtual void clear() {
 		        _arcset.clearNodes();
 		        Parent::clear();
+		      }
 		    private:
 		      SmartArcSet& _arcset;
 		    };
 		    NodesImpl _nodes;
 		  public:
 		    /// \brief Constructor of the ArcSet.
 		    ///
 		    /// Constructor of the ArcSet.
 		    SmartArcSet(const GR& graph) : _nodes(graph, *this) {
 		      Parent::initalize(graph, _nodes);
+		    }
 		    /// \brief Add a new arc to the digraph.
 		    ///
 		    /// Add a new arc to the digraph with source node \c s
 		    /// and target node \c t.
 		    /// \return The new arc.
 		    Arc addArc(const Node& s, const Node& t) {
 		      return Parent::addArc(s, t);
+		    }
 		    /// \brief Validity check
 		    ///
 		    /// This functions gives back false if the ArcSet is
 		    /// invalidated. It occurs when a node in the underlying graph is
 		    /// erased and it is not isolated in the ArcSet.
 		    bool valid() const {
 		      return _nodes.attached();
+		    }
 		  };
 		  template <typename GR>
 		  class SmartEdgeSetBase {
 		  public:
 		    typedef typename GR::Node Node;
 		    typedef typename GR::NodeIt NodeIt;
 		  protected:
 		    struct NodeT {
 		      int first_out;
 		      NodeT() : first_out(-1) {}
 		    };
 		    typedef typename ItemSetTraits<GR, Node>::
 		    template Map<NodeT>::Type NodesImplBase;
 		    NodesImplBase* _nodes;
 		    struct ArcT {
 		      Node target;
 		      int next_out;
 		      ArcT() {}
 		    };
 		    std::vector<ArcT> arcs;
 		    const GR* _graph;
 		    void initalize(const GR& graph, NodesImplBase& nodes) {
 		      _graph = &graph;
 		      _nodes = &nodes;
+		    }
 		  public:
 		    class Edge {
 		      friend class SmartEdgeSetBase;
 		    protected:
 		      int id;
 		      explicit Edge(int _id) { id = _id;}
 		    public:
 		      Edge() {}
 		      Edge (Invalid) { id = -1; }
 		      bool operator==(const Edge& arc) const {return id == arc.id;}
 		      bool operator!=(const Edge& arc) const {return id != arc.id;}
 		      bool operator<(const Edge& arc) const {return id < arc.id;}
 		    };
 		    class Arc {
 		      friend class SmartEdgeSetBase;
 		    protected:
 		      Arc(int _id) : id(_id) {}
 		      int id;
 		    public:
 		      operator Edge() const { return edgeFromId(id / 2); }
 		      Arc() {}
 		      Arc(Invalid) : id(-1) {}
 		      bool operator==(const Arc& arc) const { return id == arc.id; }
 		      bool operator!=(const Arc& arc) const { return id != arc.id; }
 		      bool operator<(const Arc& arc) const { return id < arc.id; }
 		    };
 		    SmartEdgeSetBase() {}
 		    Node addNode() {
 		      LEMON_ASSERT(false,
 		        "This graph structure does not support node insertion");
 		      return INVALID; // avoid warning
+		    }
 		    Edge addEdge(const Node& u, const Node& v) {
 		      int n = arcs.size();
 		      arcs.push_back(ArcT());
 		      arcs.push_back(ArcT());
 		      arcs[n].target = u;
 		      arcs[n | 1].target = v;
 		      arcs[n].next_out = (*_nodes)[v].first_out;
 		      (*_nodes)[v].first_out = n;
 		      arcs[n | 1].next_out = (*_nodes)[u].first_out;
 		      (*_nodes)[u].first_out = (n | 1);
 		      return Edge(n / 2);
+		    }
 		    void clear() {
 		      Node node;
 		      for (first(node); node != INVALID; next(node)) {
 		        (*_nodes)[node].first_out = -1;
+		      }
 		      arcs.clear();
+		    }
 		    void first(Node& node) const {
 		      _graph->first(node);
+		    }
 		    void next(Node& node) const {
 		      _graph->next(node);
+		    }
 		    void first(Arc& arc) const {
 		      arc.id = arcs.size() - 1;
+		    }
 		    static void next(Arc& arc) {
 		      --arc.id;
+		    }
 		    void first(Edge& arc) const {
 		      arc.id = arcs.size() / 2 - 1;
+		    }
 		    static void next(Edge& arc) {
 		      --arc.id;
+		    }
 		    void firstOut(Arc& arc, const Node& node) const {
 		      arc.id = (*_nodes)[node].first_out;
+		    }
 		    void nextOut(Arc& arc) const {
 		      arc.id = arcs[arc.id].next_out;
+		    }
 		    void firstIn(Arc& arc, const Node& node) const {
 		      arc.id = (((*_nodes)[node].first_out) ^ 1);
 		      if (arc.id == -2) arc.id = -1;
+		    }
 		    void nextIn(Arc& arc) const {
 		      arc.id = ((arcs[arc.id ^ 1].next_out) ^ 1);
 		      if (arc.id == -2) arc.id = -1;
+		    }
 		    void firstInc(Edge &arc, bool& dir, const Node& node) const {
 		      int de = (*_nodes)[node].first_out;
 		      if (de != -1 ) {
 		        arc.id = de / 2;
 		        dir = ((de & 1) == 1);
 		      } else {
 		        arc.id = -1;
 		        dir = true;
+		      }
+		    }
 		    void nextInc(Edge &arc, bool& dir) const {
 		      int de = (arcs[(arc.id * 2) | (dir ? 1 : 0)].next_out);
 		      if (de != -1 ) {
 		        arc.id = de / 2;
 		        dir = ((de & 1) == 1);
 		      } else {
 		        arc.id = -1;
 		        dir = true;
+		      }
+		    }
 		    static bool direction(Arc arc) {
 		      return (arc.id & 1) == 1;
+		    }
 		    static Arc direct(Edge edge, bool dir) {
 		      return Arc(edge.id * 2 + (dir ? 1 : 0));
+		    }
 		    int id(Node node) const { return _graph->id(node); }
 		    static int id(Arc arc) { return arc.id; }
 		    static int id(Edge arc) { return arc.id; }
 		    Node nodeFromId(int id) const { return _graph->nodeFromId(id); }
 		    static Arc arcFromId(int id) { return Arc(id); }
 		    static Edge edgeFromId(int id) { return Edge(id);}
 		    int maxNodeId() const { return _graph->maxNodeId(); };
 		    int maxArcId() const { return arcs.size() - 1; }
 		    int maxEdgeId() const { return arcs.size() / 2 - 1; }
 		    Node source(Arc e) const { return arcs[e.id ^ 1].target; }
 		    Node target(Arc e) const { return arcs[e.id].target; }
 		    Node u(Edge e) const { return arcs[2 * e.id].target; }
 		    Node v(Edge e) const { return arcs[2 * e.id + 1].target; }
 		    typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier;
 		    NodeNotifier& notifier(Node) const {
 		      return _graph->notifier(Node());
+		    }
 		    template <typename V>
 		    class NodeMap : public GR::template NodeMap<V> {
 		      typedef typename GR::template NodeMap<V> Parent;
 		    public:
 		      explicit NodeMap(const SmartEdgeSetBase<GR>& arcset)
 		        : Parent(*arcset._graph) { }
 		      NodeMap(const SmartEdgeSetBase<GR>& arcset, const V& value)
 		        : Parent(*arcset._graph, value) { }
 		      NodeMap& operator=(const NodeMap& cmap) {
 		        return operator=<NodeMap>(cmap);
+		      }
 		      template <typename CMap>
 		      NodeMap& operator=(const CMap& cmap) {
 		        Parent::operator=(cmap);
 		        return *this;
+		      }
 		    };
 		  };
 		  /// \ingroup graphs
 		  ///
 		  /// \brief Graph using a node set of another digraph or graph and an
 		  /// own edge set.
 		  ///
 		  /// This structure can be used to establish another graph over a
 		  /// node set of an existing one. This class uses the same Node type
 		  /// as the underlying graph, and each valid node of the original
 		  /// graph is valid in this arc set, therefore the node objects of
 		  /// the original graph can be used directly with this class. The
 		  /// node handling functions (id handling, observing, and iterators)
 		  /// works equivalently as in the original graph.
 		  ///
 		  /// \param GR The type of the graph which shares its node set
 		  /// with this class. Its interface must conform to the
 		  /// \ref concepts::Digraph "Digraph" or \ref concepts::Graph "Graph"
 		  ///  concept.
 		  ///
 		  /// This implementation is slightly faster than the \c ListEdgeSet,
 		  /// because it uses continuous storage for edges and it uses just
 		  /// single-linked lists for enumerate incident edges. Therefore the
 		  /// edges cannot be erased from the edge sets.
 		  ///
 		  /// This class fully conforms to the \ref concepts::Graph "Graph"
 		  /// concept.
 		  /// It provides only linear time counting for nodes, edges and arcs.
 		  ///
 		  /// \warning If a node is erased from the underlying graph and this
 		  /// node is incident to one edge in the edge set, then the edge set
 		  /// is invalidated, and it cannot be used anymore. The validity can
 		  /// be checked with the \c valid() member function.
 		  ///
 		  /// This class fully conforms to the \ref concepts::Graph
 		  /// "Graph" concept.
 		  template <typename GR>
 		  class SmartEdgeSet : public EdgeSetExtender<SmartEdgeSetBase<GR> > {
 		    typedef EdgeSetExtender<SmartEdgeSetBase<GR> > Parent;
 		  public:
 		    typedef typename Parent::Node Node;
 		    typedef typename Parent::Arc Arc;
 		    typedef typename Parent::Edge Edge;
 		  protected:
 		    typedef typename Parent::NodesImplBase NodesImplBase;
 		    void eraseNode(const Node& node) {
 		      if (typename Parent::IncEdgeIt(*this, node) == INVALID) {
 		        return;
+		      }
 		      throw typename NodesImplBase::Notifier::ImmediateDetach();
+		    }
 		    void clearNodes() {
 		      Parent::clear();
+		    }
 		    class NodesImpl : public NodesImplBase {
 		      typedef NodesImplBase Parent;
 		    public:
 		      NodesImpl(const GR& graph, SmartEdgeSet& arcset)
 		        : Parent(graph), _arcset(arcset) {}
 		      virtual ~NodesImpl() {}
 		      bool attached() const {
 		        return Parent::attached();
+		      }
 		    protected:
 		      virtual void erase(const Node& node) {
 		        try {
 		          _arcset.eraseNode(node);
 		          Parent::erase(node);
 		        } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) {
 		          Parent::clear();
 		          throw;
+		        }
+		      }
 		      virtual void erase(const std::vector<Node>& nodes) {
 		        try {
 		          for (int i = 0; i < int(nodes.size()); ++i) {
 		            _arcset.eraseNode(nodes[i]);
+		          }
 		          Parent::erase(nodes);
 		        } catch (const typename NodesImplBase::Notifier::ImmediateDetach&) {
 		          Parent::clear();
 		          throw;
+		        }
+		      }
 		      virtual void clear() {
 		        _arcset.clearNodes();
 		        Parent::clear();
+		      }
 		    private:
 		      SmartEdgeSet& _arcset;
 		    };
 		    NodesImpl _nodes;
 		  public:
 		    /// \brief Constructor of the EdgeSet.
 		    ///
 		    /// Constructor of the EdgeSet.
 		    SmartEdgeSet(const GR& graph) : _nodes(graph, *this) {
 		      Parent::initalize(graph, _nodes);
+		    }
 		    /// \brief Add a new edge to the graph.
 		    ///
 		    /// Add a new edge to the graph with node \c u
 		    /// and node \c v endpoints.
 		    /// \return The new edge.
 		    Edge addEdge(const Node& u, const Node& v) {
 		      return Parent::addEdge(u, v);
+		    }
 		    /// \brief Validity check
 		    ///
 		    /// This functions gives back false if the EdgeSet is
 		    /// invalidated. It occurs when a node in the underlying graph is
 		    /// erased and it is not isolated in the EdgeSet.
 		    bool valid() const {
 		      return _nodes.attached();
+		    }
 		  };
+		}
 		#endif

lemon/full_graph.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_FULL_GRAPH_H
 		#define LEMON_FULL_GRAPH_H
 		#include <lemon/core.h>
 		#include <lemon/bits/graph_extender.h>
 		///\ingroup graphs
 		///\file
 		///\brief FullDigraph and FullGraph classes.
 		namespace lemon {
 		  class FullDigraphBase {
 		  public:
 		    typedef FullDigraphBase Digraph;
 		    class Node;
 		    class Arc;
 		  protected:
 		    int _node_num;
 		    int _arc_num;
 		    FullDigraphBase() {}
 		    void construct(int n) { _node_num = n; _arc_num = n * n; }
 		  public:
 		    typedef True NodeNumTag;
 		    typedef True ArcNumTag;
 		    Node operator()(int ix) const { return Node(ix); }
 		    static int index(const Node& node) { return node._id; }
 		    Arc arc(const Node& s, const Node& t) const {
 		      return Arc(s._id * _node_num + t._id);
+		    }
 		    int nodeNum() const { return _node_num; }
 		    int arcNum() const { return _arc_num; }
 		    int maxNodeId() const { return _node_num - 1; }
 		    int maxArcId() const { return _arc_num - 1; }
 		    Node source(Arc arc) const { return arc._id / _node_num; }
 		    Node target(Arc arc) const { return arc._id % _node_num; }
 		    static int id(Node node) { return node._id; }
 		    static int id(Arc arc) { return arc._id; }
 		    static Node nodeFromId(int id) { return Node(id);}
 		    static Arc arcFromId(int id) { return Arc(id);}
 		    typedef True FindArcTag;
 		    Arc findArc(Node s, Node t, Arc prev = INVALID) const {
 		      return prev == INVALID ? arc(s, t) : INVALID;
+		    }
 		    class Node {
 		      friend class FullDigraphBase;
 		    protected:
 		      int _id;
 		      Node(int id) : _id(id) {}
 		    public:
 		      Node() {}
 		      Node (Invalid) : _id(-1) {}
 		      bool operator==(const Node node) const {return _id == node._id;}
 		      bool operator!=(const Node node) const {return _id != node._id;}
 		      bool operator<(const Node node) const {return _id < node._id;}
 		    };
 		    class Arc {
 		      friend class FullDigraphBase;
 		    protected:
 		      int _id;  // _node_num * source + target;
 		      Arc(int id) : _id(id) {}
 		    public:
 		      Arc() { }
 		      Arc (Invalid) { _id = -1; }
 		      bool operator==(const Arc arc) const {return _id == arc._id;}
 		      bool operator!=(const Arc arc) const {return _id != arc._id;}
 		      bool operator<(const Arc arc) const {return _id < arc._id;}
 		    };
 		    void first(Node& node) const {
 		      node._id = _node_num - 1;
+		    }
 		    static void next(Node& node) {
 		      --node._id;
+		    }
 		    void first(Arc& arc) const {
 		      arc._id = _arc_num - 1;
+		    }
 		    static void next(Arc& arc) {
 		      --arc._id;
+		    }
 		    void firstOut(Arc& arc, const Node& node) const {
 		      arc._id = (node._id + 1) * _node_num - 1;
+		    }
 		    void nextOut(Arc& arc) const {
 		      if (arc._id % _node_num == 0) arc._id = 0;
 		      --arc._id;
+		    }
 		    void firstIn(Arc& arc, const Node& node) const {
 		      arc._id = _arc_num + node._id - _node_num;
+		    }
 		    void nextIn(Arc& arc) const {
 		      arc._id -= _node_num;
 		      if (arc._id < 0) arc._id = -1;
+		    }
 		  };
 		  typedef DigraphExtender<FullDigraphBase> ExtendedFullDigraphBase;
 		  /// \ingroup graphs
 		  ///
 		  /// \brief A directed full graph class.
 		  ///
 		  /// FullDigraph is a simple and fast implmenetation of directed full
 		  /// (complete) graphs. It contains an arc from each node to each node
 		  /// (including a loop for each node), therefore the number of arcs
 		  /// is the square of the number of nodes.
 		  /// This class is completely static and it needs constant memory space.
 		  /// Thus you can neither add nor delete nodes or arcs, however
 		  /// the structure can be resized using resize().
 		  ///
 		  /// This type fully conforms to the \ref concepts::Digraph "Digraph concept".
 		  /// Most of its member functions and nested classes are documented
 		  /// only in the concept class.
 		  ///
 		  /// This class provides constant time counting for nodes and arcs.
 		  ///
 		  /// \note FullDigraph and FullGraph classes are very similar,
 		  /// but there are two differences. While this class conforms only
 		  /// to the \ref concepts::Digraph "Digraph" concept, FullGraph
 		  /// conforms to the \ref concepts::Graph "Graph" concept,
 		  /// moreover FullGraph does not contain a loop for each
 		  /// node as this class does.
 		  ///
 		  /// \sa FullGraph
 		  class FullDigraph : public ExtendedFullDigraphBase {
 		    typedef ExtendedFullDigraphBase Parent;
 		  public:
 		    /// \brief Default constructor.
 		    ///
 		    /// Default constructor. The number of nodes and arcs will be zero.
 		    FullDigraph() { construct(0); }
 		    /// \brief Constructor
 		    ///
 		    /// Constructor.
 		    /// \param n The number of the nodes.
 		    FullDigraph(int n) { construct(n); }
 		    /// \brief Resizes the digraph
 		    ///
 		    /// This function resizes the digraph. It fully destroys and
 		    /// rebuilds the structure, therefore the maps of the digraph will be
 		    /// reallocated automatically and the previous values will be lost.
 		    void resize(int n) {
 		      Parent::notifier(Arc()).clear();
 		      Parent::notifier(Node()).clear();
 		      construct(n);
 		      Parent::notifier(Node()).build();
 		      Parent::notifier(Arc()).build();
+		    }
 		    /// \brief Returns the node with the given index.
 		    ///
 		    /// Returns the node with the given index. Since this structure is
 		    /// completely static, the nodes can be indexed with integers from
 		    /// the range <tt>[0..nodeNum()-1]</tt>.
 		    /// The index of a node is the same as its ID.
 		    /// \sa index()
 		    Node operator()(int ix) const { return Parent::operator()(ix); }
 		    /// \brief Returns the index of the given node.
 		    ///
 		    /// Returns the index of the given node. Since this structure is
 		    /// completely static, the nodes can be indexed with integers from
 		    /// the range <tt>[0..nodeNum()-1]</tt>.
 		    /// The index of a node is the same as its ID.
 		    /// \sa operator()()
 		    static int index(const Node& node) { return Parent::index(node); }
 		    /// \brief Returns the arc connecting the given nodes.
 		    ///
 		    /// Returns the arc connecting the given nodes.
 		    Arc arc(Node u, Node v) const {
 		      return Parent::arc(u, v);
+		    }
 		    /// \brief Number of nodes.
 		    int nodeNum() const { return Parent::nodeNum(); }
 		    /// \brief Number of arcs.
 		    int arcNum() const { return Parent::arcNum(); }
 		  };
 		  class FullGraphBase {
 		  public:
 		    typedef FullGraphBase Graph;
 		    class Node;
 		    class Arc;
 		    class Edge;
 		  protected:
 		    int _node_num;
 		    int _edge_num;
 		    FullGraphBase() {}
 		    void construct(int n) { _node_num = n; _edge_num = n * (n - 1) / 2; }
 		    int _uid(int e) const {
 		      int u = e / _node_num;
 		      int v = e % _node_num;
 		      return u < v ? u : _node_num - 2 - u;
+		    }
 		    int _vid(int e) const {
 		      int u = e / _node_num;
 		      int v = e % _node_num;
 		      return u < v ? v : _node_num - 1 - v;
+		    }
 		    void _uvid(int e, int& u, int& v) const {
 		      u = e / _node_num;
 		      v = e % _node_num;
 		      if  (u >= v) {
 		        u = _node_num - 2 - u;
 		        v = _node_num - 1 - v;
+		      }
+		    }
 		    void _stid(int a, int& s, int& t) const {
 		      if ((a & 1) == 1) {
 		        _uvid(a >> 1, s, t);
 		      } else {
 		        _uvid(a >> 1, t, s);
+		      }
+		    }
 		    int _eid(int u, int v) const {
 		      if (u < (_node_num - 1) / 2) {
 		        return u * _node_num + v;
 		      } else {
 		        return (_node_num - 1 - u) * _node_num - v - 1;
+		      }
+		    }
 		  public:
 		    Node operator()(int ix) const { return Node(ix); }
 		    static int index(const Node& node) { return node._id; }
 		    Edge edge(const Node& u, const Node& v) const {
 		      if (u._id < v._id) {
 		        return Edge(_eid(u._id, v._id));
 		      } else if (u._id != v._id) {
 		        return Edge(_eid(v._id, u._id));
 		      } else {
 		        return INVALID;
+		      }
+		    }
 		    Arc arc(const Node& s, const Node& t) const {
 		      if (s._id < t._id) {
 		        return Arc((_eid(s._id, t._id) << 1) | 1);
 		      } else if (s._id != t._id) {
 		        return Arc(_eid(t._id, s._id) << 1);
 		      } else {
 		        return INVALID;
+		      }
+		    }
 		    typedef True NodeNumTag;
 		    typedef True ArcNumTag;
 		    typedef True EdgeNumTag;
 		    int nodeNum() const { return _node_num; }
 		    int arcNum() const { return 2 * _edge_num; }
 		    int edgeNum() const { return _edge_num; }
 		    static int id(Node node) { return node._id; }
 		    static int id(Arc arc) { return arc._id; }
 		    static int id(Edge edge) { return edge._id; }
 		    int maxNodeId() const { return _node_num-1; }
 		    int maxArcId() const { return 2 * _edge_num-1; }
 		    int maxEdgeId() const { return _edge_num-1; }
 		    static Node nodeFromId(int id) { return Node(id);}
 		    static Arc arcFromId(int id) { return Arc(id);}
 		    static Edge edgeFromId(int id) { return Edge(id);}
 		    Node u(Edge edge) const {
 		      return Node(_uid(edge._id));
+		    }
 		    Node v(Edge edge) const {
 		      return Node(_vid(edge._id));
+		    }
 		    Node source(Arc arc) const {
 		      return Node((arc._id & 1) == 1 ?
 		                  _uid(arc._id >> 1) : _vid(arc._id >> 1));
+		    }
 		    Node target(Arc arc) const {
 		      return Node((arc._id & 1) == 1 ?
 		                  _vid(arc._id >> 1) : _uid(arc._id >> 1));
+		    }
 		    typedef True FindEdgeTag;
 		    typedef True FindArcTag;
 		    Edge findEdge(Node u, Node v, Edge prev = INVALID) const {
 		      return prev != INVALID ? INVALID : edge(u, v);
+		    }
 		    Arc findArc(Node s, Node t, Arc prev = INVALID) const {
 		      return prev != INVALID ? INVALID : arc(s, t);
+		    }
 		    class Node {
 		      friend class FullGraphBase;
 		    protected:
 		      int _id;
 		      Node(int id) : _id(id) {}
 		    public:
 		      Node() {}
 		      Node (Invalid) { _id = -1; }
 		      bool operator==(const Node node) const {return _id == node._id;}
 		      bool operator!=(const Node node) const {return _id != node._id;}
 		      bool operator<(const Node node) const {return _id < node._id;}
 		    };
 		    class Edge {
 		      friend class FullGraphBase;
 		      friend class Arc;
 		    protected:
 		      int _id;
 		      Edge(int id) : _id(id) {}
 		    public:
 		      Edge() { }
 		      Edge (Invalid) { _id = -1; }
 		      bool operator==(const Edge edge) const {return _id == edge._id;}
 		      bool operator!=(const Edge edge) const {return _id != edge._id;}
 		      bool operator<(const Edge edge) const {return _id < edge._id;}
 		    };
 		    class Arc {
 		      friend class FullGraphBase;
 		    protected:
 		      int _id;
 		      Arc(int id) : _id(id) {}
 		    public:
 		      Arc() { }
 		      Arc (Invalid) { _id = -1; }
 		      operator Edge() const { return Edge(_id != -1 ? (_id >> 1) : -1); }
 		      bool operator==(const Arc arc) const {return _id == arc._id;}
 		      bool operator!=(const Arc arc) const {return _id != arc._id;}
 		      bool operator<(const Arc arc) const {return _id < arc._id;}
 		    };
 		    static bool direction(Arc arc) {
 		      return (arc._id & 1) == 1;
+		    }
 		    static Arc direct(Edge edge, bool dir) {
 		      return Arc((edge._id << 1) | (dir ? 1 : 0));
+		    }
 		    void first(Node& node) const {
 		      node._id = _node_num - 1;
+		    }
 		    static void next(Node& node) {
 		      --node._id;
+		    }
 		    void first(Arc& arc) const {
 		      arc._id = (_edge_num << 1) - 1;
+		    }
 		    static void next(Arc& arc) {
 		      --arc._id;
+		    }
 		    void first(Edge& edge) const {
 		      edge._id = _edge_num - 1;
+		    }
 		    static void next(Edge& edge) {
 		      --edge._id;
+		    }
 		    void firstOut(Arc& arc, const Node& node) const {
 		      int s = node._id, t = _node_num - 1;
 		      if (s < t) {
 		        arc._id = (_eid(s, t) << 1) | 1;
 		      } else {
 		        --t;
 		        arc._id = (t != -1 ? (_eid(t, s) << 1) : -1);
+		      }
+		    }
 		    void nextOut(Arc& arc) const {
 		      int s, t;
 		      _stid(arc._id, s, t);
 		      --t;
 		      if (s < t) {
 		        arc._id = (_eid(s, t) << 1) | 1;
 		      } else {
 		        if (s == t) --t;
 		        arc._id = (t != -1 ? (_eid(t, s) << 1) : -1);
+		      }
+		    }
 		    void firstIn(Arc& arc, const Node& node) const {
 		      int s = _node_num - 1, t = node._id;
 		      if (s > t) {
 		        arc._id = (_eid(t, s) << 1);
 		      } else {
 		        --s;
 		        arc._id = (s != -1 ? (_eid(s, t) << 1) | 1 : -1);
+		      }
+		    }
 		    void nextIn(Arc& arc) const {
 		      int s, t;
 		      _stid(arc._id, s, t);
 		      --s;
 		      if (s > t) {
 		        arc._id = (_eid(t, s) << 1);
 		      } else {
 		        if (s == t) --s;
 		        arc._id = (s != -1 ? (_eid(s, t) << 1) | 1 : -1);
+		      }
+		    }
 		    void firstInc(Edge& edge, bool& dir, const Node& node) const {
 		      int u = node._id, v = _node_num - 1;
 		      if (u < v) {
 		        edge._id = _eid(u, v);
 		        dir = true;
 		      } else {
 		        --v;
 		        edge._id = (v != -1 ? _eid(v, u) : -1);
 		        dir = false;
+		      }
+		    }
 		    void nextInc(Edge& edge, bool& dir) const {
 		      int u, v;
 		      if (dir) {
 		        _uvid(edge._id, u, v);
 		        --v;
 		        if (u < v) {
 		          edge._id = _eid(u, v);
 		        } else {
 		          --v;
 		          edge._id = (v != -1 ? _eid(v, u) : -1);
 		          dir = false;
+		        }
 		      } else {
 		        _uvid(edge._id, v, u);
 		        --v;
 		        edge._id = (v != -1 ? _eid(v, u) : -1);
+		      }
+		    }
 		  };
 		  typedef GraphExtender<FullGraphBase> ExtendedFullGraphBase;
 		  /// \ingroup graphs
 		  ///
 		  /// \brief An undirected full graph class.
 		  ///
 		  /// FullGraph is a simple and fast implmenetation of undirected full
 		  /// (complete) graphs. It contains an edge between every distinct pair
 		  /// of nodes, therefore the number of edges is <tt>n(n-1)/2</tt>.
 		  /// This class is completely static and it needs constant memory space.
 		  /// Thus you can neither add nor delete nodes or edges, however
 		  /// the structure can be resized using resize().
 		  ///
 		  /// This type fully conforms to the \ref concepts::Graph "Graph concept".
 		  /// Most of its member functions and nested classes are documented
 		  /// only in the concept class.
 		  ///
 		  /// This class provides constant time counting for nodes, edges and arcs.
 		  ///
 		  /// \note FullDigraph and FullGraph classes are very similar,
 		  /// but there are two differences. While FullDigraph
 		  /// conforms only to the \ref concepts::Digraph "Digraph" concept,
 		  /// this class conforms to the \ref concepts::Graph "Graph" concept,
 		  /// moreover this class does not contain a loop for each
 		  /// node as FullDigraph does.
 		  ///
 		  /// \sa FullDigraph
 		  class FullGraph : public ExtendedFullGraphBase {
 		    typedef ExtendedFullGraphBase Parent;
 		  public:
 		    /// \brief Default constructor.
 		    ///
 		    /// Default constructor. The number of nodes and edges will be zero.
 		    FullGraph() { construct(0); }
 		    /// \brief Constructor
 		    ///
 		    /// Constructor.
 		    /// \param n The number of the nodes.
 		    FullGraph(int n) { construct(n); }
 		    /// \brief Resizes the graph
 		    ///
 		    /// This function resizes the graph. It fully destroys and
 		    /// rebuilds the structure, therefore the maps of the graph will be
 		    /// reallocated automatically and the previous values will be lost.
 		    void resize(int n) {
 		      Parent::notifier(Arc()).clear();
 		      Parent::notifier(Edge()).clear();
 		      Parent::notifier(Node()).clear();
 		      construct(n);
 		      Parent::notifier(Node()).build();
 		      Parent::notifier(Edge()).build();
 		      Parent::notifier(Arc()).build();
+		    }
 		    /// \brief Returns the node with the given index.
 		    ///
 		    /// Returns the node with the given index. Since this structure is
 		    /// completely static, the nodes can be indexed with integers from
 		    /// the range <tt>[0..nodeNum()-1]</tt>.
 		    /// The index of a node is the same as its ID.
 		    /// \sa index()
 		    Node operator()(int ix) const { return Parent::operator()(ix); }
 		    /// \brief Returns the index of the given node.
 		    ///
 		    /// Returns the index of the given node. Since this structure is
 		    /// completely static, the nodes can be indexed with integers from
 		    /// the range <tt>[0..nodeNum()-1]</tt>.
 		    /// The index of a node is the same as its ID.
 		    /// \sa operator()()
 		    static int index(const Node& node) { return Parent::index(node); }
 		    /// \brief Returns the arc connecting the given nodes.
 		    ///
 		    /// Returns the arc connecting the given nodes.
 		    Arc arc(Node s, Node t) const {
 		      return Parent::arc(s, t);
+		    }
 		    /// \brief Returns the edge connecting the given nodes.
 		    ///
 		    /// Returns the edge connecting the given nodes.
 		    Edge edge(Node u, Node v) const {
 		      return Parent::edge(u, v);
+		    }
 		    /// \brief Number of nodes.
 		    int nodeNum() const { return Parent::nodeNum(); }
 		    /// \brief Number of arcs.
 		    int arcNum() const { return Parent::arcNum(); }
 		    /// \brief Number of edges.
 		    int edgeNum() const { return Parent::edgeNum(); }
 		  };
 		} //namespace lemon
 		#endif //LEMON_FULL_GRAPH_H

lemon/grid_graph.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef GRID_GRAPH_H
 		#define GRID_GRAPH_H
 		#include <lemon/core.h>
 		#include <lemon/bits/graph_extender.h>
 		#include <lemon/dim2.h>
 		#include <lemon/assert.h>
 		///\ingroup graphs
 		///\file
 		///\brief GridGraph class.
 		namespace lemon {
 		  class GridGraphBase {
 		  public:
 		    typedef GridGraphBase Graph;
 		    class Node;
 		    class Edge;
 		    class Arc;
 		  public:
 		    GridGraphBase() {}
 		  protected:
 		    void construct(int width, int height) {
 		       _width = width; _height = height;
 		      _node_num = width * height;
 		      _edge_num = 2 * _node_num - width - height;
 		      _edge_limit = _node_num - _width;
+		    }
 		  public:
 		    Node operator()(int i, int j) const {
 		      LEMON_DEBUG(0 <= i && i < _width &&
 <= j  && j < _height, "Index out of range");
 		      return Node(i + j * _width);
+		    }
 		    int col(Node n) const {
 		      return n._id % _width;
+		    }
 		    int row(Node n) const {
 		      return n._id / _width;
+		    }
 		    dim2::Point<int> pos(Node n) const {
 		      return dim2::Point<int>(col(n), row(n));
+		    }
 		    int width() const {
 		      return _width;
+		    }
 		    int height() const {
 		      return _height;
+		    }
 		    typedef True NodeNumTag;
 		    typedef True EdgeNumTag;
 		    typedef True ArcNumTag;
 		    int nodeNum() const { return _node_num; }
 		    int edgeNum() const { return _edge_num; }
 		    int arcNum() const { return 2 * _edge_num; }
 		    Node u(Edge edge) const {
 		      if (edge._id < _edge_limit) {
 		        return edge._id;
 		      } else {
 		        return (edge._id - _edge_limit) % (_width - 1) +
 		          (edge._id - _edge_limit) / (_width - 1) * _width;
+		      }
+		    }
 		    Node v(Edge edge) const {
 		      if (edge._id < _edge_limit) {
 		        return edge._id + _width;
 		      } else {
 		        return (edge._id - _edge_limit) % (_width - 1) +
 		          (edge._id - _edge_limit) / (_width - 1) * _width + 1;
+		      }
+		    }
 		    Node source(Arc arc) const {
 		      return (arc._id & 1) == 1 ? u(arc) : v(arc);
+		    }
 		    Node target(Arc arc) const {
 		      return (arc._id & 1) == 1 ? v(arc) : u(arc);
+		    }
 		    static int id(Node node) { return node._id; }
 		    static int id(Edge edge) { return edge._id; }
 		    static int id(Arc arc) { return arc._id; }
 		    int maxNodeId() const { return _node_num - 1; }
 		    int maxEdgeId() const { return _edge_num - 1; }
 		    int maxArcId() const { return 2 * _edge_num - 1; }
 		    static Node nodeFromId(int id) { return Node(id);}
 		    static Edge edgeFromId(int id) { return Edge(id);}
 		    static Arc arcFromId(int id) { return Arc(id);}
 		    typedef True FindEdgeTag;
 		    typedef True FindArcTag;
 		    Edge findEdge(Node u, Node v, Edge prev = INVALID) const {
 		      if (prev != INVALID) return INVALID;
 		      if (v._id > u._id) {
 		        if (v._id - u._id == _width)
 		          return Edge(u._id);
 		        if (v._id - u._id == 1 && u._id % _width < _width - 1) {
 		          return Edge(u._id / _width * (_width - 1) +
 		                      u._id % _width + _edge_limit);
+		        }
 		      } else {
 		        if (u._id - v._id == _width)
 		          return Edge(v._id);
 		        if (u._id - v._id == 1 && v._id % _width < _width - 1) {
 		          return Edge(v._id / _width * (_width - 1) +
 		                      v._id % _width + _edge_limit);
+		        }
+		      }
 		      return INVALID;
+		    }
 		    Arc findArc(Node u, Node v, Arc prev = INVALID) const {
 		      if (prev != INVALID) return INVALID;
 		      if (v._id > u._id) {
 		        if (v._id - u._id == _width)
 		          return Arc((u._id << 1) | 1);
 		        if (v._id - u._id == 1 && u._id % _width < _width - 1) {
 		          return Arc(((u._id / _width * (_width - 1) +
 		                       u._id % _width + _edge_limit) << 1) | 1);
+		        }
 		      } else {
 		        if (u._id - v._id == _width)
 		          return Arc(v._id << 1);
 		        if (u._id - v._id == 1 && v._id % _width < _width - 1) {
 		          return Arc((v._id / _width * (_width - 1) +
 		                       v._id % _width + _edge_limit) << 1);
+		        }
+		      }
 		      return INVALID;
+		    }
 		    class Node {
 		      friend class GridGraphBase;
 		    protected:
 		      int _id;
 		      Node(int id) : _id(id) {}
 		    public:
 		      Node() {}
 		      Node (Invalid) : _id(-1) {}
 		      bool operator==(const Node node) const {return _id == node._id;}
 		      bool operator!=(const Node node) const {return _id != node._id;}
 		      bool operator<(const Node node) const {return _id < node._id;}
 		    };
 		    class Edge {
 		      friend class GridGraphBase;
 		      friend class Arc;
 		    protected:
 		      int _id;
 		      Edge(int id) : _id(id) {}
 		    public:
 		      Edge() {}
 		      Edge (Invalid) : _id(-1) {}
 		      bool operator==(const Edge edge) const {return _id == edge._id;}
 		      bool operator!=(const Edge edge) const {return _id != edge._id;}
 		      bool operator<(const Edge edge) const {return _id < edge._id;}
 		    };
 		    class Arc {
 		      friend class GridGraphBase;
 		    protected:
 		      int _id;
 		      Arc(int id) : _id(id) {}
 		    public:
 		      Arc() {}
 		      Arc (Invalid) : _id(-1) {}
 		      operator Edge() const { return _id != -1 ? Edge(_id >> 1) : INVALID; }
 		      bool operator==(const Arc arc) const {return _id == arc._id;}
 		      bool operator!=(const Arc arc) const {return _id != arc._id;}
 		      bool operator<(const Arc arc) const {return _id < arc._id;}
 		    };
 		    static bool direction(Arc arc) {
 		      return (arc._id & 1) == 1;
+		    }
 		    static Arc direct(Edge edge, bool dir) {
 		      return Arc((edge._id << 1) | (dir ? 1 : 0));
+		    }
 		    void first(Node& node) const {
 		      node._id = _node_num - 1;
+		    }
 		    static void next(Node& node) {
 		      --node._id;
+		    }
 		    void first(Edge& edge) const {
 		      edge._id = _edge_num - 1;
+		    }
 		    static void next(Edge& edge) {
 		      --edge._id;
+		    }
 		    void first(Arc& arc) const {
 		      arc._id = 2 * _edge_num - 1;
+		    }
 		    static void next(Arc& arc) {
 		      --arc._id;
+		    }
 		    void firstOut(Arc& arc, const Node& node) const {
 		      if (node._id % _width < _width - 1) {
 		        arc._id = (_edge_limit + node._id % _width +
 		                   (node._id / _width) * (_width - 1)) << 1 | 1;
 		        return;
+		      }
 		      if (node._id < _node_num - _width) {
 		        arc._id = node._id << 1 | 1;
 		        return;
+		      }
 		      if (node._id % _width > 0) {
 		        arc._id = (_edge_limit + node._id % _width +
 		                   (node._id / _width) * (_width - 1) - 1) << 1;
 		        return;
+		      }
 		      if (node._id >= _width) {
 		        arc._id = (node._id - _width) << 1;
 		        return;
+		      }
 		      arc._id = -1;
+		    }
 		    void nextOut(Arc& arc) const {
 		      int nid = arc._id >> 1;
 		      if ((arc._id & 1) == 1) {
 		        if (nid >= _edge_limit) {
 		          nid = (nid - _edge_limit) % (_width - 1) +
 		            (nid - _edge_limit) / (_width - 1) * _width;
 		          if (nid < _node_num - _width) {
 		            arc._id = nid << 1 | 1;
 		            return;
+		          }
+		        }
 		        if (nid % _width > 0) {
 		          arc._id = (_edge_limit + nid % _width +
 		                     (nid / _width) * (_width - 1) - 1) << 1;
 		          return;
+		        }
 		        if (nid >= _width) {
 		          arc._id = (nid - _width) << 1;
 		          return;
+		        }
 		      } else {
 		        if (nid >= _edge_limit) {
 		          nid = (nid - _edge_limit) % (_width - 1) +
 		            (nid - _edge_limit) / (_width - 1) * _width + 1;
 		          if (nid >= _width) {
 		            arc._id = (nid - _width) << 1;
 		            return;
+		          }
+		        }
+		      }
 		      arc._id = -1;
+		    }
 		    void firstIn(Arc& arc, const Node& node) const {
 		      if (node._id % _width < _width - 1) {
 		        arc._id = (_edge_limit + node._id % _width +
 		                   (node._id / _width) * (_width - 1)) << 1;
 		        return;
+		      }
 		      if (node._id < _node_num - _width) {
 		        arc._id = node._id << 1;
 		        return;
+		      }
 		      if (node._id % _width > 0) {
 		        arc._id = (_edge_limit + node._id % _width +
 		                   (node._id / _width) * (_width - 1) - 1) << 1 | 1;
 		        return;
+		      }
 		      if (node._id >= _width) {
 		        arc._id = (node._id - _width) << 1 | 1;
 		        return;
+		      }
 		      arc._id = -1;
+		    }
 		    void nextIn(Arc& arc) const {
 		      int nid = arc._id >> 1;
 		      if ((arc._id & 1) == 0) {
 		        if (nid >= _edge_limit) {
 		          nid = (nid - _edge_limit) % (_width - 1) +
 		            (nid - _edge_limit) / (_width - 1) * _width;
 		          if (nid < _node_num - _width) {
 		            arc._id = nid << 1;
 		            return;
+		          }
+		        }
 		        if (nid % _width > 0) {
 		          arc._id = (_edge_limit + nid % _width +
 		                     (nid / _width) * (_width - 1) - 1) << 1 | 1;
 		          return;
+		        }
 		        if (nid >= _width) {
 		          arc._id = (nid - _width) << 1 | 1;
 		          return;
+		        }
 		      } else {
 		        if (nid >= _edge_limit) {
 		          nid = (nid - _edge_limit) % (_width - 1) +
 		            (nid - _edge_limit) / (_width - 1) * _width + 1;
 		          if (nid >= _width) {
 		            arc._id = (nid - _width) << 1 | 1;
 		            return;
+		          }
+		        }
+		      }
 		      arc._id = -1;
+		    }
 		    void firstInc(Edge& edge, bool& dir, const Node& node) const {
 		      if (node._id % _width < _width - 1) {
 		        edge._id = _edge_limit + node._id % _width +
 		          (node._id / _width) * (_width - 1);
 		        dir = true;
 		        return;
+		      }
 		      if (node._id < _node_num - _width) {
 		        edge._id = node._id;
 		        dir = true;
 		        return;
+		      }
 		      if (node._id % _width > 0) {
 		        edge._id = _edge_limit + node._id % _width +
 		          (node._id / _width) * (_width - 1) - 1;
 		        dir = false;
 		        return;
+		      }
 		      if (node._id >= _width) {
 		        edge._id = node._id - _width;
 		        dir = false;
 		        return;
+		      }
 		      edge._id = -1;
 		      dir = true;
+		    }
 		    void nextInc(Edge& edge, bool& dir) const {
 		      int nid = edge._id;
 		      if (dir) {
 		        if (nid >= _edge_limit) {
 		          nid = (nid - _edge_limit) % (_width - 1) +
 		            (nid - _edge_limit) / (_width - 1) * _width;
 		          if (nid < _node_num - _width) {
 		            edge._id = nid;
 		            return;
+		          }
+		        }
 		        if (nid % _width > 0) {
 		          edge._id = _edge_limit + nid % _width +
 		            (nid / _width) * (_width - 1) - 1;
 		          dir = false;
 		          return;
+		        }
 		        if (nid >= _width) {
 		          edge._id = nid - _width;
 		          dir = false;
 		          return;
+		        }
 		      } else {
 		        if (nid >= _edge_limit) {
 		          nid = (nid - _edge_limit) % (_width - 1) +
 		            (nid - _edge_limit) / (_width - 1) * _width + 1;
 		          if (nid >= _width) {
 		            edge._id = nid - _width;
 		            return;
+		          }
+		        }
+		      }
 		      edge._id = -1;
 		      dir = true;
+		    }
 		    Arc right(Node n) const {
 		      if (n._id % _width < _width - 1) {
 		        return Arc(((_edge_limit + n._id % _width +
 		                    (n._id / _width) * (_width - 1)) << 1) | 1);
 		      } else {
 		        return INVALID;
+		      }
+		    }
 		    Arc left(Node n) const {
 		      if (n._id % _width > 0) {
 		        return Arc((_edge_limit + n._id % _width +
 		                     (n._id / _width) * (_width - 1) - 1) << 1);
 		      } else {
 		        return INVALID;
+		      }
+		    }
 		    Arc up(Node n) const {
 		      if (n._id < _edge_limit) {
 		        return Arc((n._id << 1) | 1);
 		      } else {
 		        return INVALID;
+		      }
+		    }
 		    Arc down(Node n) const {
 		      if (n._id >= _width) {
 		        return Arc((n._id - _width) << 1);
 		      } else {
 		        return INVALID;
+		      }
+		    }
 		  private:
 		    int _width, _height;
 		    int _node_num, _edge_num;
 		    int _edge_limit;
 		  };
 		  typedef GraphExtender<GridGraphBase> ExtendedGridGraphBase;
 		  /// \ingroup graphs
 		  ///
 		  /// \brief Grid graph class
 		  ///
 		  /// GridGraph implements a special graph type. The nodes of the
 		  /// graph can be indexed by two integer values \c (i,j) where \c i is
 		  /// in the range <tt>[0..width()-1]</tt> and j is in the range
 		  /// <tt>[0..height()-1]</tt>. Two nodes are connected in the graph if
 		  /// the indices differ exactly on one position and the difference is
 		  /// also exactly one. The nodes of the graph can be obtained by position
 		  /// using the \c operator()() function and the indices of the nodes can
 		  /// be obtained using \c pos(), \c col() and \c row() members. The outgoing
 		  /// arcs can be retrieved with the \c right(), \c up(), \c left()
 		  /// and \c down() functions, where the bottom-left corner is the
 		  /// origin.
 		  ///
 		  /// This class is completely static and it needs constant memory space.
 		  /// Thus you can neither add nor delete nodes or edges, however
 		  /// the structure can be resized using resize().
 		  ///
 		  /// \image html grid_graph.png
 		  /// \image latex grid_graph.eps "Grid graph" width=\textwidth
 		  ///
 		  /// A short example about the basic usage:
 		  ///\code
 		  /// GridGraph graph(rows, cols);
 		  /// GridGraph::NodeMap<int> val(graph);
 		  /// for (int i = 0; i < graph.width(); ++i) {
 		  ///   for (int j = 0; j < graph.height(); ++j) {
 		  ///     val[graph(i, j)] = i + j;
 		  ///   }
 		  /// }
 		  ///\endcode
 		  ///
 		  /// This type fully conforms to the \ref concepts::Graph "Graph concept".
 		  /// Most of its member functions and nested classes are documented
 		  /// only in the concept class.
 		  ///
 		  /// This class provides constant time counting for nodes, edges and arcs.
 		  class GridGraph : public ExtendedGridGraphBase {
 		    typedef ExtendedGridGraphBase Parent;
 		  public:
 		    /// \brief Map to get the indices of the nodes as \ref dim2::Point
 		    /// "dim2::Point<int>".
 		    ///
 		    /// Map to get the indices of the nodes as \ref dim2::Point
 		    /// "dim2::Point<int>".
 		    class IndexMap {
 		    public:
 		      /// \brief The key type of the map
 		      typedef GridGraph::Node Key;
 		      /// \brief The value type of the map
 		      typedef dim2::Point<int> Value;
 		      /// \brief Constructor
 		      IndexMap(const GridGraph& graph) : _graph(graph) {}
 		      /// \brief The subscript operator
 		      Value operator[](Key key) const {
 		        return _graph.pos(key);
+		      }
 		    private:
 		      const GridGraph& _graph;
 		    };
 		    /// \brief Map to get the column of the nodes.
 		    ///
 		    /// Map to get the column of the nodes.
 		    class ColMap {
 		    public:
 		      /// \brief The key type of the map
 		      typedef GridGraph::Node Key;
 		      /// \brief The value type of the map
 		      typedef int Value;
 		      /// \brief Constructor
 		      ColMap(const GridGraph& graph) : _graph(graph) {}
 		      /// \brief The subscript operator
 		      Value operator[](Key key) const {
 		        return _graph.col(key);
+		      }
 		    private:
 		      const GridGraph& _graph;
 		    };
 		    /// \brief Map to get the row of the nodes.
 		    ///
 		    /// Map to get the row of the nodes.
 		    class RowMap {
 		    public:
 		      /// \brief The key type of the map
 		      typedef GridGraph::Node Key;
 		      /// \brief The value type of the map
 		      typedef int Value;
 		      /// \brief Constructor
 		      RowMap(const GridGraph& graph) : _graph(graph) {}
 		      /// \brief The subscript operator
 		      Value operator[](Key key) const {
 		        return _graph.row(key);
+		      }
 		    private:
 		      const GridGraph& _graph;
 		    };
 		    /// \brief Constructor
 		    ///
 		    /// Construct a grid graph with the given size.
 		    GridGraph(int width, int height) { construct(width, height); }
 		    /// \brief Resizes the graph
 		    ///
 		    /// This function resizes the graph. It fully destroys and
 		    /// rebuilds the structure, therefore the maps of the graph will be
 		    /// reallocated automatically and the previous values will be lost.
 		    void resize(int width, int height) {
 		      Parent::notifier(Arc()).clear();
 		      Parent::notifier(Edge()).clear();
 		      Parent::notifier(Node()).clear();
 		      construct(width, height);
 		      Parent::notifier(Node()).build();
 		      Parent::notifier(Edge()).build();
 		      Parent::notifier(Arc()).build();
+		    }
 		    /// \brief The node on the given position.
 		    ///
 		    /// Gives back the node on the given position.
 		    Node operator()(int i, int j) const {
 		      return Parent::operator()(i, j);
+		    }
 		    /// \brief The column index of the node.
 		    ///
 		    /// Gives back the column index of the node.
 		    int col(Node n) const {
 		      return Parent::col(n);
+		    }
 		    /// \brief The row index of the node.
 		    ///
 		    /// Gives back the row index of the node.
 		    int row(Node n) const {
 		      return Parent::row(n);
+		    }
 		    /// \brief The position of the node.
 		    ///
 		    /// Gives back the position of the node, ie. the <tt>(col,row)</tt> pair.
 		    dim2::Point<int> pos(Node n) const {
 		      return Parent::pos(n);
+		    }
 		    /// \brief The number of the columns.
 		    ///
 		    /// Gives back the number of the columns.
 		    int width() const {
 		      return Parent::width();
+		    }
 		    /// \brief The number of the rows.
 		    ///
 		    /// Gives back the number of the rows.
 		    int height() const {
 		      return Parent::height();
+		    }
 		    /// \brief The arc goes right from the node.
 		    ///
 		    /// Gives back the arc goes right from the node. If there is not
 		    /// outgoing arc then it gives back INVALID.
 		    Arc right(Node n) const {
 		      return Parent::right(n);
+		    }
 		    /// \brief The arc goes left from the node.
 		    ///
 		    /// Gives back the arc goes left from the node. If there is not
 		    /// outgoing arc then it gives back INVALID.
 		    Arc left(Node n) const {
 		      return Parent::left(n);
+		    }
 		    /// \brief The arc goes up from the node.
 		    ///
 		    /// Gives back the arc goes up from the node. If there is not
 		    /// outgoing arc then it gives back INVALID.
 		    Arc up(Node n) const {
 		      return Parent::up(n);
+		    }
 		    /// \brief The arc goes down from the node.
 		    ///
 		    /// Gives back the arc goes down from the node. If there is not
 		    /// outgoing arc then it gives back INVALID.
 		    Arc down(Node n) const {
 		      return Parent::down(n);
+		    }
 		    /// \brief Index map of the grid graph
 		    ///
 		    /// Just returns an IndexMap for the grid graph.
 		    IndexMap indexMap() const {
 		      return IndexMap(*this);
+		    }
 		    /// \brief Row map of the grid graph
 		    ///
 		    /// Just returns a RowMap for the grid graph.
 		    RowMap rowMap() const {
 		      return RowMap(*this);
+		    }
 		    /// \brief Column map of the grid graph
 		    ///
 		    /// Just returns a ColMap for the grid graph.
 		    ColMap colMap() const {
 		      return ColMap(*this);
+		    }
 		  };
+		}
 		#endif

lemon/hypercube_graph.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef HYPERCUBE_GRAPH_H
 		#define HYPERCUBE_GRAPH_H
 		#include <vector>
 		#include <lemon/core.h>
 		#include <lemon/assert.h>
 		#include <lemon/bits/graph_extender.h>
 		///\ingroup graphs
 		///\file
 		///\brief HypercubeGraph class.
 		namespace lemon {
 		  class HypercubeGraphBase {
 		  public:
 		    typedef HypercubeGraphBase Graph;
 		    class Node;
 		    class Edge;
 		    class Arc;
 		  public:
 		    HypercubeGraphBase() {}
 		  protected:
 		    void construct(int dim) {
 		      LEMON_ASSERT(dim >= 1, "The number of dimensions must be at least 1.");
 		      _dim = dim;
 		      _node_num = 1 << dim;
 		      _edge_num = dim * (1 << (dim-1));
+		    }
 		  public:
 		    typedef True NodeNumTag;
 		    typedef True EdgeNumTag;
 		    typedef True ArcNumTag;
 		    int nodeNum() const { return _node_num; }
 		    int edgeNum() const { return _edge_num; }
 		    int arcNum() const { return 2 * _edge_num; }
 		    int maxNodeId() const { return _node_num - 1; }
 		    int maxEdgeId() const { return _edge_num - 1; }
 		    int maxArcId() const { return 2 * _edge_num - 1; }
 		    static Node nodeFromId(int id) { return Node(id); }
 		    static Edge edgeFromId(int id) { return Edge(id); }
 		    static Arc arcFromId(int id) { return Arc(id); }
 		    static int id(Node node) { return node._id; }
 		    static int id(Edge edge) { return edge._id; }
 		    static int id(Arc arc) { return arc._id; }
 		    Node u(Edge edge) const {
 		      int base = edge._id & ((1 << (_dim-1)) - 1);
 		      int k = edge._id >> (_dim-1);
 		      return ((base >> k) << (k+1)) | (base & ((1 << k) - 1));
+		    }
 		    Node v(Edge edge) const {
 		      int base = edge._id & ((1 << (_dim-1)) - 1);
 		      int k = edge._id >> (_dim-1);
 		      return ((base >> k) << (k+1)) | (base & ((1 << k) - 1)) | (1 << k);
+		    }
 		    Node source(Arc arc) const {
 		      return (arc._id & 1) == 1 ? u(arc) : v(arc);
+		    }
 		    Node target(Arc arc) const {
 		      return (arc._id & 1) == 1 ? v(arc) : u(arc);
+		    }
 		    typedef True FindEdgeTag;
 		    typedef True FindArcTag;
 		    Edge findEdge(Node u, Node v, Edge prev = INVALID) const {
 		      if (prev != INVALID) return INVALID;
 		      int d = u._id ^ v._id;
 		      int k = 0;
 		      if (d == 0) return INVALID;
 		      for ( ; (d & 1) == 0; d >>= 1) ++k;
 		      if (d >> 1 != 0) return INVALID;
 		      return (k << (_dim-1)) | ((u._id >> (k+1)) << k) |
 		        (u._id & ((1 << k) - 1));
+		    }
 		    Arc findArc(Node u, Node v, Arc prev = INVALID) const {
 		      Edge edge = findEdge(u, v, prev);
 		      if (edge == INVALID) return INVALID;
 		      int k = edge._id >> (_dim-1);
 		      return ((u._id >> k) & 1) == 1 ? edge._id << 1 : (edge._id << 1) | 1;
+		    }
 		    class Node {
 		      friend class HypercubeGraphBase;
 		    protected:
 		      int _id;
 		      Node(int id) : _id(id) {}
 		    public:
 		      Node() {}
 		      Node (Invalid) : _id(-1) {}
 		      bool operator==(const Node node) const {return _id == node._id;}
 		      bool operator!=(const Node node) const {return _id != node._id;}
 		      bool operator<(const Node node) const {return _id < node._id;}
 		    };
 		    class Edge {
 		      friend class HypercubeGraphBase;
 		      friend class Arc;
 		    protected:
 		      int _id;
 		      Edge(int id) : _id(id) {}
 		    public:
 		      Edge() {}
 		      Edge (Invalid) : _id(-1) {}
 		      bool operator==(const Edge edge) const {return _id == edge._id;}
 		      bool operator!=(const Edge edge) const {return _id != edge._id;}
 		      bool operator<(const Edge edge) const {return _id < edge._id;}
 		    };
 		    class Arc {
 		      friend class HypercubeGraphBase;
 		    protected:
 		      int _id;
 		      Arc(int id) : _id(id) {}
 		    public:
 		      Arc() {}
 		      Arc (Invalid) : _id(-1) {}
 		      operator Edge() const { return _id != -1 ? Edge(_id >> 1) : INVALID; }
 		      bool operator==(const Arc arc) const {return _id == arc._id;}
 		      bool operator!=(const Arc arc) const {return _id != arc._id;}
 		      bool operator<(const Arc arc) const {return _id < arc._id;}
 		    };
 		    void first(Node& node) const {
 		      node._id = _node_num - 1;
+		    }
 		    static void next(Node& node) {
 		      --node._id;
+		    }
 		    void first(Edge& edge) const {
 		      edge._id = _edge_num - 1;
+		    }
 		    static void next(Edge& edge) {
 		      --edge._id;
+		    }
 		    void first(Arc& arc) const {
 		      arc._id = 2 * _edge_num - 1;
+		    }
 		    static void next(Arc& arc) {
 		      --arc._id;
+		    }
 		    void firstInc(Edge& edge, bool& dir, const Node& node) const {
 		      edge._id = node._id >> 1;
 		      dir = (node._id & 1) == 0;
+		    }
 		    void nextInc(Edge& edge, bool& dir) const {
 		      Node n = dir ? u(edge) : v(edge);
 		      int k = (edge._id >> (_dim-1)) + 1;
 		      if (k < _dim) {
 		        edge._id = (k << (_dim-1)) |
 		          ((n._id >> (k+1)) << k) | (n._id & ((1 << k) - 1));
 		        dir = ((n._id >> k) & 1) == 0;
 		      } else {
 		        edge._id = -1;
 		        dir = true;
+		      }
+		    }
 		    void firstOut(Arc& arc, const Node& node) const {
 		      arc._id = ((node._id >> 1) << 1) | (~node._id & 1);
+		    }
 		    void nextOut(Arc& arc) const {
 		      Node n = (arc._id & 1) == 1 ? u(arc) : v(arc);
 		      int k = (arc._id >> _dim) + 1;
 		      if (k < _dim) {
 		        arc._id = (k << (_dim-1)) |
 		          ((n._id >> (k+1)) << k) | (n._id & ((1 << k) - 1));
 		        arc._id = (arc._id << 1) | (~(n._id >> k) & 1);
 		      } else {
 		        arc._id = -1;
+		      }
+		    }
 		    void firstIn(Arc& arc, const Node& node) const {
 		      arc._id = ((node._id >> 1) << 1) | (node._id & 1);
+		    }
 		    void nextIn(Arc& arc) const {
 		      Node n = (arc._id & 1) == 1 ? v(arc) : u(arc);
 		      int k = (arc._id >> _dim) + 1;
 		      if (k < _dim) {
 		        arc._id = (k << (_dim-1)) |
 		          ((n._id >> (k+1)) << k) | (n._id & ((1 << k) - 1));
 		        arc._id = (arc._id << 1) | ((n._id >> k) & 1);
 		      } else {
 		        arc._id = -1;
+		      }
+		    }
 		    static bool direction(Arc arc) {
 		      return (arc._id & 1) == 1;
+		    }
 		    static Arc direct(Edge edge, bool dir) {
 		      return Arc((edge._id << 1) | (dir ? 1 : 0));
+		    }
 		    int dimension() const {
 		      return _dim;
+		    }
 		    bool projection(Node node, int n) const {
 		      return static_cast<bool>(node._id & (1 << n));
+		    }
 		    int dimension(Edge edge) const {
 		      return edge._id >> (_dim-1);
+		    }
 		    int dimension(Arc arc) const {
 		      return arc._id >> _dim;
+		    }
 		    static int index(Node node) {
 		      return node._id;
+		    }
 		    Node operator()(int ix) const {
 		      return Node(ix);
+		    }
 		  private:
 		    int _dim;
 		    int _node_num, _edge_num;
 		  };
 		  typedef GraphExtender<HypercubeGraphBase> ExtendedHypercubeGraphBase;
 		  /// \ingroup graphs
 		  ///
 		  /// \brief Hypercube graph class
 		  ///
 		  /// HypercubeGraph implements a special graph type. The nodes of the
 		  /// graph are indexed with integers having at most \c dim binary digits.
 		  /// Two nodes are connected in the graph if and only if their indices
 		  /// differ only on one position in the binary form.
 		  /// This class is completely static and it needs constant memory space.
 		  /// Thus you can neither add nor delete nodes or edges, however
 		  /// the structure can be resized using resize().
 		  ///
 		  /// This type fully conforms to the \ref concepts::Graph "Graph concept".
 		  /// Most of its member functions and nested classes are documented
 		  /// only in the concept class.
 		  ///
 		  /// This class provides constant time counting for nodes, edges and arcs.
 		  ///
 		  /// \note The type of the indices is chosen to \c int for efficiency
 		  /// reasons. Thus the maximum dimension of this implementation is 26
 		  /// (assuming that the size of \c int is 32 bit).
 		  class HypercubeGraph : public ExtendedHypercubeGraphBase {
 		    typedef ExtendedHypercubeGraphBase Parent;
 		  public:
 		    /// \brief Constructs a hypercube graph with \c dim dimensions.
 		    ///
 		    /// Constructs a hypercube graph with \c dim dimensions.
 		    HypercubeGraph(int dim) { construct(dim); }
 		    /// \brief Resizes the graph
 		    ///
 		    /// This function resizes the graph. It fully destroys and
 		    /// rebuilds the structure, therefore the maps of the graph will be
 		    /// reallocated automatically and the previous values will be lost.
 		    void resize(int dim) {
 		      Parent::notifier(Arc()).clear();
 		      Parent::notifier(Edge()).clear();
 		      Parent::notifier(Node()).clear();
 		      construct(dim);
 		      Parent::notifier(Node()).build();
 		      Parent::notifier(Edge()).build();
 		      Parent::notifier(Arc()).build();
+		    }
 		    /// \brief The number of dimensions.
 		    ///
 		    /// Gives back the number of dimensions.
 		    int dimension() const {
 		      return Parent::dimension();
+		    }
 		    /// \brief Returns \c true if the n'th bit of the node is one.
 		    ///
 		    /// Returns \c true if the n'th bit of the node is one.
 		    bool projection(Node node, int n) const {
 		      return Parent::projection(node, n);
+		    }
 		    /// \brief The dimension id of an edge.
 		    ///
 		    /// Gives back the dimension id of the given edge.
 		    /// It is in the range <tt>[0..dim-1]</tt>.
 		    int dimension(Edge edge) const {
 		      return Parent::dimension(edge);
+		    }
 		    /// \brief The dimension id of an arc.
 		    ///
 		    /// Gives back the dimension id of the given arc.
 		    /// It is in the range <tt>[0..dim-1]</tt>.
 		    int dimension(Arc arc) const {
 		      return Parent::dimension(arc);
+		    }
 		    /// \brief The index of a node.
 		    ///
 		    /// Gives back the index of the given node.
 		    /// The lower bits of the integer describes the node.
 		    static int index(Node node) {
 		      return Parent::index(node);
+		    }
 		    /// \brief Gives back a node by its index.
 		    ///
 		    /// Gives back a node by its index.
 		    Node operator()(int ix) const {
 		      return Parent::operator()(ix);
+		    }
 		    /// \brief Number of nodes.
 		    int nodeNum() const { return Parent::nodeNum(); }
 		    /// \brief Number of edges.
 		    int edgeNum() const { return Parent::edgeNum(); }
 		    /// \brief Number of arcs.
 		    int arcNum() const { return Parent::arcNum(); }
 		    /// \brief Linear combination map.
 		    ///
 		    /// This map makes possible to give back a linear combination
 		    /// for each node. It works like the \c std::accumulate function,
 		    /// so it accumulates the \c bf binary function with the \c fv first
 		    /// value. The map accumulates only on that positions (dimensions)
 		    /// where the index of the node is one. The values that have to be
 		    /// accumulated should be given by the \c begin and \c end iterators
 		    /// and the length of this range should be equal to the dimension
 		    /// number of the graph.
 		    ///
 		    ///\code
 		    /// const int DIM = 3;
 		    /// HypercubeGraph graph(DIM);
 		    /// dim2::Point<double> base[DIM];
 		    /// for (int k = 0; k < DIM; ++k) {
 		    ///   base[k].x = rnd();
 		    ///   base[k].y = rnd();
 		    /// }
 		    /// HypercubeGraph::HyperMap<dim2::Point<double> >
 		    ///   pos(graph, base, base + DIM, dim2::Point<double>(0.0, 0.0));
 		    ///\endcode
 		    ///
 		    /// \see HypercubeGraph
 		    template <typename T, typename BF = std::plus<T> >
 		    class HyperMap {
 		    public:
 		      /// \brief The key type of the map
 		      typedef Node Key;
 		      /// \brief The value type of the map
 		      typedef T Value;
 		      /// \brief Constructor for HyperMap.
 		      ///
 		      /// Construct a HyperMap for the given graph. The values that have
 		      /// to be accumulated should be given by the \c begin and \c end
 		      /// iterators and the length of this range should be equal to the
 		      /// dimension number of the graph.
 		      ///
 		      /// This map accumulates the \c bf binary function with the \c fv
 		      /// first value on that positions (dimensions) where the index of
 		      /// the node is one.
 		      template <typename It>
 		      HyperMap(const Graph& graph, It begin, It end,
 		               T fv = 0, const BF& bf = BF())
 		        : _graph(graph), _values(begin, end), _first_value(fv), _bin_func(bf)
+		      {
 		        LEMON_ASSERT(_values.size() == graph.dimension(),
 		                     "Wrong size of range");
+		      }
 		      /// \brief The partial accumulated value.
 		      ///
 		      /// Gives back the partial accumulated value.
 		      Value operator[](const Key& k) const {
 		        Value val = _first_value;
 		        int id = _graph.index(k);
 		        int n = 0;
 		        while (id != 0) {
 		          if (id & 1) {
 		            val = _bin_func(val, _values[n]);
+		          }
 		          id >>= 1;
 		          ++n;
+		        }
 		        return val;
+		      }
 		    private:
 		      const Graph& _graph;
 		      std::vector<T> _values;
 		      T _first_value;
 		      BF _bin_func;
 		    };
 		  };
+		}
 		#endif

lemon/list_graph.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_LIST_GRAPH_H
 		#define LEMON_LIST_GRAPH_H
 		///\ingroup graphs
 		///\file
 		///\brief ListDigraph and ListGraph classes.
 		#include <lemon/core.h>
 		#include <lemon/error.h>
 		#include <lemon/bits/graph_extender.h>
 		#include <vector>
 		#include <list>
 		namespace lemon {
 		  class ListDigraph;
 		  class ListDigraphBase {
 		  protected:
 		    struct NodeT {
 		      int first_in, first_out;
 		      int prev, next;
 		    };
 		    struct ArcT {
 		      int target, source;
 		      int prev_in, prev_out;
 		      int next_in, next_out;
 		    };
 		    std::vector<NodeT> nodes;
 		    int first_node;
 		    int first_free_node;
 		    std::vector<ArcT> arcs;
 		    int first_free_arc;
 		  public:
 		    typedef ListDigraphBase Digraph;
 		    class Node {
 		      friend class ListDigraphBase;
 		      friend class ListDigraph;
 		    protected:
 		      int id;
 		      explicit Node(int pid) { id = pid;}
 		    public:
 		      Node() {}
 		      Node (Invalid) { id = -1; }
 		      bool operator==(const Node& node) const {return id == node.id;}
 		      bool operator!=(const Node& node) const {return id != node.id;}
 		      bool operator<(const Node& node) const {return id < node.id;}
 		    };
 		    class Arc {
 		      friend class ListDigraphBase;
 		      friend class ListDigraph;
 		    protected:
 		      int id;
 		      explicit Arc(int pid) { id = pid;}
 		    public:
 		      Arc() {}
 		      Arc (Invalid) { id = -1; }
 		      bool operator==(const Arc& arc) const {return id == arc.id;}
 		      bool operator!=(const Arc& arc) const {return id != arc.id;}
 		      bool operator<(const Arc& arc) const {return id < arc.id;}
 		    };
 		    ListDigraphBase()
 		      : nodes(), first_node(-1),
 		        first_free_node(-1), arcs(), first_free_arc(-1) {}
 		    int maxNodeId() const { return nodes.size()-1; }
 		    int maxArcId() const { return arcs.size()-1; }
 		    Node source(Arc e) const { return Node(arcs[e.id].source); }
 		    Node target(Arc e) const { return Node(arcs[e.id].target); }
 		    void first(Node& node) const {
 		      node.id = first_node;
+		    }
 		    void next(Node& node) const {
 		      node.id = nodes[node.id].next;
+		    }
 		    void first(Arc& arc) const {
 		      int n;
 		      for(n = first_node;
 		          n != -1 && nodes[n].first_out == -1;
 		          n = nodes[n].next) {}
 		      arc.id = (n == -1) ? -1 : nodes[n].first_out;
+		    }
 		    void next(Arc& arc) const {
 		      if (arcs[arc.id].next_out != -1) {
 		        arc.id = arcs[arc.id].next_out;
 		      } else {
 		        int n;
 		        for(n = nodes[arcs[arc.id].source].next;
 		            n != -1 && nodes[n].first_out == -1;
 		            n = nodes[n].next) {}
 		        arc.id = (n == -1) ? -1 : nodes[n].first_out;
+		      }
+		    }
 		    void firstOut(Arc &e, const Node& v) const {
 		      e.id = nodes[v.id].first_out;
+		    }
 		    void nextOut(Arc &e) const {
 		      e.id=arcs[e.id].next_out;
+		    }
 		    void firstIn(Arc &e, const Node& v) const {
 		      e.id = nodes[v.id].first_in;
+		    }
 		    void nextIn(Arc &e) const {
 		      e.id=arcs[e.id].next_in;
+		    }
 		    static int id(Node v) { return v.id; }
 		    static int id(Arc e) { return e.id; }
 		    static Node nodeFromId(int id) { return Node(id);}
 		    static Arc arcFromId(int id) { return Arc(id);}
 		    bool valid(Node n) const {
 		      return n.id >= 0 && n.id < static_cast<int>(nodes.size()) &&
 		        nodes[n.id].prev != -2;
+		    }
 		    bool valid(Arc a) const {
 		      return a.id >= 0 && a.id < static_cast<int>(arcs.size()) &&
 		        arcs[a.id].prev_in != -2;
+		    }
 		    Node addNode() {
 		      int n;
 		      if(first_free_node==-1) {
 		        n = nodes.size();
 		        nodes.push_back(NodeT());
 		      } else {
 		        n = first_free_node;
 		        first_free_node = nodes[n].next;
+		      }
 		      nodes[n].next = first_node;
 		      if(first_node != -1) nodes[first_node].prev = n;
 		      first_node = n;
 		      nodes[n].prev = -1;
 		      nodes[n].first_in = nodes[n].first_out = -1;
 		      return Node(n);
+		    }
 		    Arc addArc(Node u, Node v) {
 		      int n;
 		      if (first_free_arc == -1) {
 		        n = arcs.size();
 		        arcs.push_back(ArcT());
 		      } else {
 		        n = first_free_arc;
 		        first_free_arc = arcs[n].next_in;
+		      }
 		      arcs[n].source = u.id;
 		      arcs[n].target = v.id;
 		      arcs[n].next_out = nodes[u.id].first_out;
 		      if(nodes[u.id].first_out != -1) {
 		        arcs[nodes[u.id].first_out].prev_out = n;
+		      }
 		      arcs[n].next_in = nodes[v.id].first_in;
 		      if(nodes[v.id].first_in != -1) {
 		        arcs[nodes[v.id].first_in].prev_in = n;
+		      }
 		      arcs[n].prev_in = arcs[n].prev_out = -1;
 		      nodes[u.id].first_out = nodes[v.id].first_in = n;
 		      return Arc(n);
+		    }
 		    void erase(const Node& node) {
 		      int n = node.id;
 		      if(nodes[n].next != -1) {
 		        nodes[nodes[n].next].prev = nodes[n].prev;
+		      }
 		      if(nodes[n].prev != -1) {
 		        nodes[nodes[n].prev].next = nodes[n].next;
 		      } else {
 		        first_node = nodes[n].next;
+		      }
 		      nodes[n].next = first_free_node;
 		      first_free_node = n;
 		      nodes[n].prev = -2;
+		    }
 		    void erase(const Arc& arc) {
 		      int n = arc.id;
 		      if(arcs[n].next_in!=-1) {
 		        arcs[arcs[n].next_in].prev_in = arcs[n].prev_in;
+		      }
 		      if(arcs[n].prev_in!=-1) {
 		        arcs[arcs[n].prev_in].next_in = arcs[n].next_in;
 		      } else {
 		        nodes[arcs[n].target].first_in = arcs[n].next_in;
+		      }
 		      if(arcs[n].next_out!=-1) {
 		        arcs[arcs[n].next_out].prev_out = arcs[n].prev_out;
+		      }
 		      if(arcs[n].prev_out!=-1) {
 		        arcs[arcs[n].prev_out].next_out = arcs[n].next_out;
 		      } else {
 		        nodes[arcs[n].source].first_out = arcs[n].next_out;
+		      }
 		      arcs[n].next_in = first_free_arc;
 		      first_free_arc = n;
 		      arcs[n].prev_in = -2;
+		    }
 		    void clear() {
 		      arcs.clear();
 		      nodes.clear();
 		      first_node = first_free_node = first_free_arc = -1;
+		    }
 		  protected:
 		    void changeTarget(Arc e, Node n)
+		    {
 		      if(arcs[e.id].next_in != -1)
 		        arcs[arcs[e.id].next_in].prev_in = arcs[e.id].prev_in;
 		      if(arcs[e.id].prev_in != -1)
 		        arcs[arcs[e.id].prev_in].next_in = arcs[e.id].next_in;
 		      else nodes[arcs[e.id].target].first_in = arcs[e.id].next_in;
 		      if (nodes[n.id].first_in != -1) {
 		        arcs[nodes[n.id].first_in].prev_in = e.id;
+		      }
 		      arcs[e.id].target = n.id;
 		      arcs[e.id].prev_in = -1;
 		      arcs[e.id].next_in = nodes[n.id].first_in;
 		      nodes[n.id].first_in = e.id;
+		    }
 		    void changeSource(Arc e, Node n)
+		    {
 		      if(arcs[e.id].next_out != -1)
 		        arcs[arcs[e.id].next_out].prev_out = arcs[e.id].prev_out;
 		      if(arcs[e.id].prev_out != -1)
 		        arcs[arcs[e.id].prev_out].next_out = arcs[e.id].next_out;
 		      else nodes[arcs[e.id].source].first_out = arcs[e.id].next_out;
 		      if (nodes[n.id].first_out != -1) {
 		        arcs[nodes[n.id].first_out].prev_out = e.id;
+		      }
 		      arcs[e.id].source = n.id;
 		      arcs[e.id].prev_out = -1;
 		      arcs[e.id].next_out = nodes[n.id].first_out;
 		      nodes[n.id].first_out = e.id;
+		    }
 		  };
 		  typedef DigraphExtender<ListDigraphBase> ExtendedListDigraphBase;
 		  /// \addtogroup graphs
 		  /// @{
 		  ///A general directed graph structure.
 		  ///\ref ListDigraph is a versatile and fast directed graph
 		  ///implementation based on linked lists that are stored in
 		  ///\c std::vector structures.
 		  ///
 		  ///This type fully conforms to the \ref concepts::Digraph "Digraph concept"
 		  ///and it also provides several useful additional functionalities.
 		  ///Most of its member functions and nested classes are documented
 		  ///only in the concept class.
 		  ///
 		  ///This class provides only linear time counting for nodes and arcs.
 		  ///
 		  ///\sa concepts::Digraph
 		  ///\sa ListGraph
 		  class ListDigraph : public ExtendedListDigraphBase {
 		    typedef ExtendedListDigraphBase Parent;
 		  private:
 		    /// Digraphs are \e not copy constructible. Use DigraphCopy instead.
 		    ListDigraph(const ListDigraph &) :ExtendedListDigraphBase() {};
 		    /// \brief Assignment of a digraph to another one is \e not allowed.
 		    /// Use DigraphCopy instead.
 		    void operator=(const ListDigraph &) {}
 		  public:
 		    /// Constructor
 		    /// Constructor.
 		    ///
 		    ListDigraph() {}
 		    ///Add a new node to the digraph.
 		    ///This function adds a new node to the digraph.
 		    ///\return The new node.
 		    Node addNode() { return Parent::addNode(); }
 		    ///Add a new arc to the digraph.
 		    ///This function adds a new arc to the digraph with source node \c s
 		    ///and target node \c t.
 		    ///\return The new arc.
 		    Arc addArc(Node s, Node t) {
 		      return Parent::addArc(s, t);
+		    }
 		    ///\brief Erase a node from the digraph.
 		    ///
-		    ///This function erases the given node from the digraph.
+		    ///This function erases the given node along with its outgoing and
 		    ///incoming arcs from the digraph.
 		    ///
 		    ///\note All iterators referencing the removed node or the connected
 		    ///arcs are invalidated, of course.
 		    void erase(Node n) { Parent::erase(n); }
 		    ///\brief Erase an arc from the digraph.
 		    ///
 		    ///This function erases the given arc from the digraph.
 		    ///
 		    ///\note All iterators referencing the removed arc are invalidated,
 		    ///of course.
 		    void erase(Arc a) { Parent::erase(a); }
 		    /// Node validity check
 		    /// This function gives back \c true if the given node is valid,
 		    /// i.e. it is a real node of the digraph.
 		    ///
 		    /// \warning A removed node could become valid again if new nodes are
 		    /// added to the digraph.
 		    bool valid(Node n) const { return Parent::valid(n); }
 		    /// Arc validity check
 		    /// This function gives back \c true if the given arc is valid,
 		    /// i.e. it is a real arc of the digraph.
 		    ///
 		    /// \warning A removed arc could become valid again if new arcs are
 		    /// added to the digraph.
 		    bool valid(Arc a) const { return Parent::valid(a); }
 		    /// Change the target node of an arc
 		    /// This function changes the target node of the given arc \c a to \c n.
 		    ///
 		    ///\note \c ArcIt and \c OutArcIt iterators referencing the changed
 		    ///arc remain valid, however \c InArcIt iterators are invalidated.
 		    ///
 		    ///\warning This functionality cannot be used together with the Snapshot
 		    ///feature.
 		    void changeTarget(Arc a, Node n) {
 		      Parent::changeTarget(a,n);
+		    }
 		    /// Change the source node of an arc
 		    /// This function changes the source node of the given arc \c a to \c n.
 		    ///
 		    ///\note \c InArcIt iterators referencing the changed arc remain
 		    ///valid, however \c ArcIt and \c OutArcIt iterators are invalidated.
 		    ///
 		    ///\warning This functionality cannot be used together with the Snapshot
 		    ///feature.
 		    void changeSource(Arc a, Node n) {
 		      Parent::changeSource(a,n);
+		    }
 		    /// Reverse the direction of an arc.
 		    /// This function reverses the direction of the given arc.
 		    ///\note \c ArcIt, \c OutArcIt and \c InArcIt iterators referencing
 		    ///the changed arc are invalidated.
 		    ///
 		    ///\warning This functionality cannot be used together with the Snapshot
 		    ///feature.
 		    void reverseArc(Arc a) {
 		      Node t=target(a);
 		      changeTarget(a,source(a));
 		      changeSource(a,t);
+		    }
 		    ///Contract two nodes.
 		    ///This function contracts the given two nodes.
 		    ///Node \c v is removed, but instead of deleting its
 		    ///incident arcs, they are joined to node \c u.
 		    ///If the last parameter \c r is \c true (this is the default value),
 		    ///then the newly created loops are removed.
 		    ///
 		    ///\note The moved arcs are joined to node \c u using changeSource()
 		    ///or changeTarget(), thus \c ArcIt and \c OutArcIt iterators are
 		    ///invalidated for the outgoing arcs of node \c v and \c InArcIt
 		    ///iterators are invalidated for the incomming arcs of \c v.
 		    ///Moreover all iterators referencing node \c v or the removed
 		    ///loops are also invalidated. Other iterators remain valid.
 		    ///
 		    ///\warning This functionality cannot be used together with the Snapshot
 		    ///feature.
 		    void contract(Node u, Node v, bool r = true)
+		    {
 		      for(OutArcIt e(*this,v);e!=INVALID;) {
 		        OutArcIt f=e;
 		        ++f;
 		        if(r && target(e)==u) erase(e);
 		        else changeSource(e,u);
 		        e=f;
+		      }
 		      for(InArcIt e(*this,v);e!=INVALID;) {
 		        InArcIt f=e;
 		        ++f;
 		        if(r && source(e)==u) erase(e);
 		        else changeTarget(e,u);
 		        e=f;
+		      }
 		      erase(v);
+		    }
 		    ///Split a node.
 		    ///This function splits the given node. First, a new node is added
 		    ///to the digraph, then the source of each outgoing arc of node \c n
 		    ///is moved to this new node.
 		    ///If the second parameter \c connect is \c true (this is the default
 		    ///value), then a new arc from node \c n to the newly created node
 		    ///is also added.
 		    ///\return The newly created node.
 		    ///
 		    ///\note All iterators remain valid.
 		    ///
 		    ///\warning This functionality cannot be used together with the
 		    ///Snapshot feature.
 		    Node split(Node n, bool connect = true) {
 		      Node b = addNode();
 		      nodes[b.id].first_out=nodes[n.id].first_out;
 		      nodes[n.id].first_out=-1;
 		      for(int i=nodes[b.id].first_out; i!=-1; i=arcs[i].next_out) {
 		        arcs[i].source=b.id;
+		      }
 		      if (connect) addArc(n,b);
 		      return b;
+		    }
 		    ///Split an arc.
 		    ///This function splits the given arc. First, a new node \c v is
 		    ///added to the digraph, then the target node of the original arc
 		    ///is set to \c v. Finally, an arc from \c v to the original target
 		    ///is added.
 		    ///\return The newly created node.
 		    ///
 		    ///\note \c InArcIt iterators referencing the original arc are
 		    ///invalidated. Other iterators remain valid.
 		    ///
 		    ///\warning This functionality cannot be used together with the
 		    ///Snapshot feature.
 		    Node split(Arc a) {
 		      Node v = addNode();
 		      addArc(v,target(a));
 		      changeTarget(a,v);
 		      return v;
+		    }
 		    ///Clear the digraph.
 		    ///This function erases all nodes and arcs from the digraph.
 		    ///
 		    ///\note All iterators of the digraph are invalidated, of course.
 		    void clear() {
 		      Parent::clear();
+		    }
 		    /// Reserve memory for nodes.
 		    /// Using this function, it is possible to avoid superfluous memory
 		    /// allocation: if you know that the digraph you want to build will
 		    /// be large (e.g. it will contain millions of nodes and/or arcs),
 		    /// then it is worth reserving space for this amount before starting
 		    /// to build the digraph.
 		    /// \sa reserveArc()
 		    void reserveNode(int n) { nodes.reserve(n); };
 		    /// Reserve memory for arcs.
 		    /// Using this function, it is possible to avoid superfluous memory
 		    /// allocation: if you know that the digraph you want to build will
 		    /// be large (e.g. it will contain millions of nodes and/or arcs),
 		    /// then it is worth reserving space for this amount before starting
 		    /// to build the digraph.
 		    /// \sa reserveNode()
 		    void reserveArc(int m) { arcs.reserve(m); };
 		    /// \brief Class to make a snapshot of the digraph and restore
 		    /// it later.
 		    ///
 		    /// Class to make a snapshot of the digraph and restore it later.
 		    ///
 		    /// The newly added nodes and arcs can be removed using the
 		    /// restore() function.
 		    ///
 		    /// \note After a state is restored, you cannot restore a later state,
 		    /// i.e. you cannot add the removed nodes and arcs again using
 		    /// another Snapshot instance.
 		    ///
 		    /// \warning Node and arc deletions and other modifications (e.g.
 		    /// reversing, contracting, splitting arcs or nodes) cannot be
 		    /// restored. These events invalidate the snapshot.
 		    /// However the arcs and nodes that were added to the digraph after
 		    /// making the current snapshot can be removed without invalidating it.
 		    class Snapshot {
 		    protected:
 		      typedef Parent::NodeNotifier NodeNotifier;
 		      class NodeObserverProxy : public NodeNotifier::ObserverBase {
 		      public:
 		        NodeObserverProxy(Snapshot& _snapshot)
 		          : snapshot(_snapshot) {}
 		        using NodeNotifier::ObserverBase::attach;
 		        using NodeNotifier::ObserverBase::detach;
 		        using NodeNotifier::ObserverBase::attached;
 		      protected:
 		        virtual void add(const Node& node) {
 		          snapshot.addNode(node);
+		        }
 		        virtual void add(const std::vector<Node>& nodes) {
 		          for (int i = nodes.size() - 1; i >= 0; ++i) {
 		            snapshot.addNode(nodes[i]);
+		          }
+		        }
 		        virtual void erase(const Node& node) {
 		          snapshot.eraseNode(node);
+		        }
 		        virtual void erase(const std::vector<Node>& nodes) {
 		          for (int i = 0; i < int(nodes.size()); ++i) {
 		            snapshot.eraseNode(nodes[i]);
+		          }
+		        }
 		        virtual void build() {
 		          Node node;
 		          std::vector<Node> nodes;
 		          for (notifier()->first(node); node != INVALID;
 		               notifier()->next(node)) {
 		            nodes.push_back(node);
+		          }
 		          for (int i = nodes.size() - 1; i >= 0; --i) {
 		            snapshot.addNode(nodes[i]);
+		          }
+		        }
 		        virtual void clear() {
 		          Node node;
 		          for (notifier()->first(node); node != INVALID;
 		               notifier()->next(node)) {
 		            snapshot.eraseNode(node);
+		          }
+		        }
 		        Snapshot& snapshot;
 		      };
 		      class ArcObserverProxy : public ArcNotifier::ObserverBase {
 		      public:
 		        ArcObserverProxy(Snapshot& _snapshot)
 		          : snapshot(_snapshot) {}
 		        using ArcNotifier::ObserverBase::attach;
 		        using ArcNotifier::ObserverBase::detach;
 		        using ArcNotifier::ObserverBase::attached;
 		      protected:
 		        virtual void add(const Arc& arc) {
 		          snapshot.addArc(arc);
+		        }
 		        virtual void add(const std::vector<Arc>& arcs) {
 		          for (int i = arcs.size() - 1; i >= 0; ++i) {
 		            snapshot.addArc(arcs[i]);
+		          }
+		        }
 		        virtual void erase(const Arc& arc) {
 		          snapshot.eraseArc(arc);
+		        }
 		        virtual void erase(const std::vector<Arc>& arcs) {
 		          for (int i = 0; i < int(arcs.size()); ++i) {
 		            snapshot.eraseArc(arcs[i]);
+		          }
+		        }
 		        virtual void build() {
 		          Arc arc;
 		          std::vector<Arc> arcs;
 		          for (notifier()->first(arc); arc != INVALID;
 		               notifier()->next(arc)) {
 		            arcs.push_back(arc);
+		          }
 		          for (int i = arcs.size() - 1; i >= 0; --i) {
 		            snapshot.addArc(arcs[i]);
+		          }
+		        }
 		        virtual void clear() {
 		          Arc arc;
 		          for (notifier()->first(arc); arc != INVALID;
 		               notifier()->next(arc)) {
 		            snapshot.eraseArc(arc);
+		          }
+		        }
 		        Snapshot& snapshot;
 		      };
 		      ListDigraph *digraph;
 		      NodeObserverProxy node_observer_proxy;
 		      ArcObserverProxy arc_observer_proxy;
 		      std::list<Node> added_nodes;
 		      std::list<Arc> added_arcs;
 		      void addNode(const Node& node) {
 		        added_nodes.push_front(node);
+		      }
 		      void eraseNode(const Node& node) {
 		        std::list<Node>::iterator it =
 		          std::find(added_nodes.begin(), added_nodes.end(), node);
 		        if (it == added_nodes.end()) {
 		          clear();
 		          arc_observer_proxy.detach();
 		          throw NodeNotifier::ImmediateDetach();
 		        } else {
 		          added_nodes.erase(it);
+		        }
+		      }
 		      void addArc(const Arc& arc) {
 		        added_arcs.push_front(arc);
+		      }
 		      void eraseArc(const Arc& arc) {
 		        std::list<Arc>::iterator it =
 		          std::find(added_arcs.begin(), added_arcs.end(), arc);
 		        if (it == added_arcs.end()) {
 		          clear();
 		          node_observer_proxy.detach();
 		          throw ArcNotifier::ImmediateDetach();
 		        } else {
 		          added_arcs.erase(it);
+		        }
+		      }
 		      void attach(ListDigraph &_digraph) {
 		        digraph = &_digraph;
 		        node_observer_proxy.attach(digraph->notifier(Node()));
 		        arc_observer_proxy.attach(digraph->notifier(Arc()));
+		      }
 		      void detach() {
 		        node_observer_proxy.detach();
 		        arc_observer_proxy.detach();
+		      }
 		      bool attached() const {
 		        return node_observer_proxy.attached();
+		      }
 		      void clear() {
 		        added_nodes.clear();
 		        added_arcs.clear();
+		      }
 		    public:
 		      /// \brief Default constructor.
 		      ///
 		      /// Default constructor.
 		      /// You have to call save() to actually make a snapshot.
 		      Snapshot()
 		        : digraph(0), node_observer_proxy(*this),
 		          arc_observer_proxy(*this) {}
 		      /// \brief Constructor that immediately makes a snapshot.
 		      ///
 		      /// This constructor immediately makes a snapshot of the given digraph.
 		      Snapshot(ListDigraph &gr)
 		        : node_observer_proxy(*this),
 		          arc_observer_proxy(*this) {
 		        attach(gr);
+		      }
 		      /// \brief Make a snapshot.
 		      ///
 		      /// This function makes a snapshot of the given digraph.
 		      /// It can be called more than once. In case of a repeated
 		      /// call, the previous snapshot gets lost.
 		      void save(ListDigraph &gr) {
 		        if (attached()) {
 		          detach();
 		          clear();
+		        }
 		        attach(gr);
+		      }
 		      /// \brief Undo the changes until the last snapshot.
 		      ///
 		      /// This function undos the changes until the last snapshot
 		      /// created by save() or Snapshot(ListDigraph&).
 		      ///
 		      /// \warning This method invalidates the snapshot, i.e. repeated
 		      /// restoring is not supported unless you call save() again.
 		      void restore() {
 		        detach();
 		        for(std::list<Arc>::iterator it = added_arcs.begin();
 		            it != added_arcs.end(); ++it) {
 		          digraph->erase(*it);
+		        }
 		        for(std::list<Node>::iterator it = added_nodes.begin();
 		            it != added_nodes.end(); ++it) {
 		          digraph->erase(*it);
+		        }
 		        clear();
+		      }
 		      /// \brief Returns \c true if the snapshot is valid.
 		      ///
 		      /// This function returns \c true if the snapshot is valid.
 		      bool valid() const {
 		        return attached();
+		      }
 		    };
 		  };
 		  ///@}
 		  class ListGraphBase {
 		  protected:
 		    struct NodeT {
 		      int first_out;
 		      int prev, next;
 		    };
 		    struct ArcT {
 		      int target;
 		      int prev_out, next_out;
 		    };
 		    std::vector<NodeT> nodes;
 		    int first_node;
 		    int first_free_node;
 		    std::vector<ArcT> arcs;
 		    int first_free_arc;
 		  public:
 		    typedef ListGraphBase Graph;
 		    class Node {
 		      friend class ListGraphBase;
 		    protected:
 		      int id;
 		      explicit Node(int pid) { id = pid;}
 		    public:
 		      Node() {}
 		      Node (Invalid) { id = -1; }
 		      bool operator==(const Node& node) const {return id == node.id;}
 		      bool operator!=(const Node& node) const {return id != node.id;}
 		      bool operator<(const Node& node) const {return id < node.id;}
 		    };
 		    class Edge {
 		      friend class ListGraphBase;
 		    protected:
 		      int id;
 		      explicit Edge(int pid) { id = pid;}
 		    public:
 		      Edge() {}
 		      Edge (Invalid) { id = -1; }
 		      bool operator==(const Edge& edge) const {return id == edge.id;}
 		      bool operator!=(const Edge& edge) const {return id != edge.id;}
 		      bool operator<(const Edge& edge) const {return id < edge.id;}
 		    };
 		    class Arc {
 		      friend class ListGraphBase;
 		    protected:
 		      int id;
 		      explicit Arc(int pid) { id = pid;}
 		    public:
 		      operator Edge() const {
 		        return id != -1 ? edgeFromId(id / 2) : INVALID;
+		      }
 		      Arc() {}
 		      Arc (Invalid) { id = -1; }
 		      bool operator==(const Arc& arc) const {return id == arc.id;}
 		      bool operator!=(const Arc& arc) const {return id != arc.id;}
 		      bool operator<(const Arc& arc) const {return id < arc.id;}
 		    };
 		    ListGraphBase()
 		      : nodes(), first_node(-1),
 		        first_free_node(-1), arcs(), first_free_arc(-1) {}
 		    int maxNodeId() const { return nodes.size()-1; }
 		    int maxEdgeId() const { return arcs.size() / 2 - 1; }
 		    int maxArcId() const { return arcs.size()-1; }
 		    Node source(Arc e) const { return Node(arcs[e.id ^ 1].target); }
 		    Node target(Arc e) const { return Node(arcs[e.id].target); }
 		    Node u(Edge e) const { return Node(arcs[2 * e.id].target); }
 		    Node v(Edge e) const { return Node(arcs[2 * e.id + 1].target); }
 		    static bool direction(Arc e) {
 		      return (e.id & 1) == 1;
+		    }
 		    static Arc direct(Edge e, bool d) {
 		      return Arc(e.id * 2 + (d ? 1 : 0));
+		    }
 		    void first(Node& node) const {
 		      node.id = first_node;
+		    }
 		    void next(Node& node) const {
 		      node.id = nodes[node.id].next;
+		    }
 		    void first(Arc& e) const {
 		      int n = first_node;
 		      while (n != -1 && nodes[n].first_out == -1) {
 		        n = nodes[n].next;
+		      }
 		      e.id = (n == -1) ? -1 : nodes[n].first_out;
+		    }
 		    void next(Arc& e) const {
 		      if (arcs[e.id].next_out != -1) {
 		        e.id = arcs[e.id].next_out;
 		      } else {
 		        int n = nodes[arcs[e.id ^ 1].target].next;
 		        while(n != -1 && nodes[n].first_out == -1) {
 		          n = nodes[n].next;
+		        }
 		        e.id = (n == -1) ? -1 : nodes[n].first_out;
+		      }
+		    }
 		    void first(Edge& e) const {
 		      int n = first_node;
 		      while (n != -1) {
 		        e.id = nodes[n].first_out;
 		        while ((e.id & 1) != 1) {
 		          e.id = arcs[e.id].next_out;
+		        }
 		        if (e.id != -1) {
 		          e.id /= 2;
 		          return;
+		        }
 		        n = nodes[n].next;
+		      }
 		      e.id = -1;
+		    }
 		    void next(Edge& e) const {
 		      int n = arcs[e.id * 2].target;
 		      e.id = arcs[(e.id * 2) | 1].next_out;
 		      while ((e.id & 1) != 1) {
 		        e.id = arcs[e.id].next_out;
+		      }
 		      if (e.id != -1) {
 		        e.id /= 2;
 		        return;
+		      }
 		      n = nodes[n].next;
 		      while (n != -1) {
 		        e.id = nodes[n].first_out;
 		        while ((e.id & 1) != 1) {
 		          e.id = arcs[e.id].next_out;
+		        }
 		        if (e.id != -1) {
 		          e.id /= 2;
 		          return;
+		        }
 		        n = nodes[n].next;
+		      }
 		      e.id = -1;
+		    }
 		    void firstOut(Arc &e, const Node& v) const {
 		      e.id = nodes[v.id].first_out;
+		    }
 		    void nextOut(Arc &e) const {
 		      e.id = arcs[e.id].next_out;
+		    }
 		    void firstIn(Arc &e, const Node& v) const {
 		      e.id = ((nodes[v.id].first_out) ^ 1);
 		      if (e.id == -2) e.id = -1;
+		    }
 		    void nextIn(Arc &e) const {
 		      e.id = ((arcs[e.id ^ 1].next_out) ^ 1);
 		      if (e.id == -2) e.id = -1;
+		    }
 		    void firstInc(Edge &e, bool& d, const Node& v) const {
 		      int a = nodes[v.id].first_out;
 		      if (a != -1 ) {
 		        e.id = a / 2;
 		        d = ((a & 1) == 1);
 		      } else {
 		        e.id = -1;
 		        d = true;
+		      }
+		    }
 		    void nextInc(Edge &e, bool& d) const {
 		      int a = (arcs[(e.id * 2) | (d ? 1 : 0)].next_out);
 		      if (a != -1 ) {
 		        e.id = a / 2;
 		        d = ((a & 1) == 1);
 		      } else {
 		        e.id = -1;
 		        d = true;
+		      }
+		    }
 		    static int id(Node v) { return v.id; }
 		    static int id(Arc e) { return e.id; }
 		    static int id(Edge e) { return e.id; }
 		    static Node nodeFromId(int id) { return Node(id);}
 		    static Arc arcFromId(int id) { return Arc(id);}
 		    static Edge edgeFromId(int id) { return Edge(id);}
 		    bool valid(Node n) const {
 		      return n.id >= 0 && n.id < static_cast<int>(nodes.size()) &&
 		        nodes[n.id].prev != -2;
+		    }
 		    bool valid(Arc a) const {
 		      return a.id >= 0 && a.id < static_cast<int>(arcs.size()) &&
 		        arcs[a.id].prev_out != -2;
+		    }
 		    bool valid(Edge e) const {
 		      return e.id >= 0 && 2 * e.id < static_cast<int>(arcs.size()) &&
 		        arcs[2 * e.id].prev_out != -2;
+		    }
 		    Node addNode() {
 		      int n;
 		      if(first_free_node==-1) {
 		        n = nodes.size();
 		        nodes.push_back(NodeT());
 		      } else {
 		        n = first_free_node;
 		        first_free_node = nodes[n].next;
+		      }
 		      nodes[n].next = first_node;
 		      if (first_node != -1) nodes[first_node].prev = n;
 		      first_node = n;
 		      nodes[n].prev = -1;
 		      nodes[n].first_out = -1;
 		      return Node(n);
+		    }
 		    Edge addEdge(Node u, Node v) {
 		      int n;
 		      if (first_free_arc == -1) {
 		        n = arcs.size();
 		        arcs.push_back(ArcT());
 		        arcs.push_back(ArcT());
 		      } else {
 		        n = first_free_arc;
 		        first_free_arc = arcs[n].next_out;
+		      }
 		      arcs[n].target = u.id;
 		      arcs[n | 1].target = v.id;
 		      arcs[n].next_out = nodes[v.id].first_out;
 		      if (nodes[v.id].first_out != -1) {
 		        arcs[nodes[v.id].first_out].prev_out = n;
+		      }
 		      arcs[n].prev_out = -1;
 		      nodes[v.id].first_out = n;
 		      arcs[n | 1].next_out = nodes[u.id].first_out;
 		      if (nodes[u.id].first_out != -1) {
 		        arcs[nodes[u.id].first_out].prev_out = (n | 1);
+		      }
 		      arcs[n | 1].prev_out = -1;
 		      nodes[u.id].first_out = (n | 1);
 		      return Edge(n / 2);
+		    }
 		    void erase(const Node& node) {
 		      int n = node.id;
 		      if(nodes[n].next != -1) {
 		        nodes[nodes[n].next].prev = nodes[n].prev;
+		      }
 		      if(nodes[n].prev != -1) {
 		        nodes[nodes[n].prev].next = nodes[n].next;
 		      } else {
 		        first_node = nodes[n].next;
+		      }
 		      nodes[n].next = first_free_node;
 		      first_free_node = n;
 		      nodes[n].prev = -2;
+		    }
 		    void erase(const Edge& edge) {
 		      int n = edge.id * 2;
 		      if (arcs[n].next_out != -1) {
 		        arcs[arcs[n].next_out].prev_out = arcs[n].prev_out;
+		      }
 		      if (arcs[n].prev_out != -1) {
 		        arcs[arcs[n].prev_out].next_out = arcs[n].next_out;
 		      } else {
 		        nodes[arcs[n | 1].target].first_out = arcs[n].next_out;
+		      }
 		      if (arcs[n | 1].next_out != -1) {
 		        arcs[arcs[n | 1].next_out].prev_out = arcs[n | 1].prev_out;
+		      }
 		      if (arcs[n | 1].prev_out != -1) {
 		        arcs[arcs[n | 1].prev_out].next_out = arcs[n | 1].next_out;
 		      } else {
 		        nodes[arcs[n].target].first_out = arcs[n | 1].next_out;
+		      }
 		      arcs[n].next_out = first_free_arc;
 		      first_free_arc = n;
 		      arcs[n].prev_out = -2;
 		      arcs[n | 1].prev_out = -2;
+		    }
 		    void clear() {
 		      arcs.clear();
 		      nodes.clear();
 		      first_node = first_free_node = first_free_arc = -1;
+		    }
 		  protected:
 		    void changeV(Edge e, Node n) {
 		      if(arcs[2 * e.id].next_out != -1) {
 		        arcs[arcs[2 * e.id].next_out].prev_out = arcs[2 * e.id].prev_out;
+		      }
 		      if(arcs[2 * e.id].prev_out != -1) {
 		        arcs[arcs[2 * e.id].prev_out].next_out =
 		          arcs[2 * e.id].next_out;
 		      } else {
 		        nodes[arcs[(2 * e.id) | 1].target].first_out =
 		          arcs[2 * e.id].next_out;
+		      }
 		      if (nodes[n.id].first_out != -1) {
 		        arcs[nodes[n.id].first_out].prev_out = 2 * e.id;
+		      }
 		      arcs[(2 * e.id) | 1].target = n.id;
 		      arcs[2 * e.id].prev_out = -1;
 		      arcs[2 * e.id].next_out = nodes[n.id].first_out;
 		      nodes[n.id].first_out = 2 * e.id;
+		    }
 		    void changeU(Edge e, Node n) {
 		      if(arcs[(2 * e.id) | 1].next_out != -1) {
 		        arcs[arcs[(2 * e.id) | 1].next_out].prev_out =
 		          arcs[(2 * e.id) | 1].prev_out;
+		      }
 		      if(arcs[(2 * e.id) | 1].prev_out != -1) {
 		        arcs[arcs[(2 * e.id) | 1].prev_out].next_out =
 		          arcs[(2 * e.id) | 1].next_out;
 		      } else {
 		        nodes[arcs[2 * e.id].target].first_out =
 		          arcs[(2 * e.id) | 1].next_out;
+		      }
 		      if (nodes[n.id].first_out != -1) {
 		        arcs[nodes[n.id].first_out].prev_out = ((2 * e.id) | 1);
+		      }
 		      arcs[2 * e.id].target = n.id;
 		      arcs[(2 * e.id) | 1].prev_out = -1;
 		      arcs[(2 * e.id) | 1].next_out = nodes[n.id].first_out;
 		      nodes[n.id].first_out = ((2 * e.id) | 1);
+		    }
 		  };
 		  typedef GraphExtender<ListGraphBase> ExtendedListGraphBase;
 		  /// \addtogroup graphs
 		  /// @{
 		  ///A general undirected graph structure.
 		  ///\ref ListGraph is a versatile and fast undirected graph
 		  ///implementation based on linked lists that are stored in
 		  ///\c std::vector structures.
 		  ///
 		  ///This type fully conforms to the \ref concepts::Graph "Graph concept"
 		  ///and it also provides several useful additional functionalities.
 		  ///Most of its member functions and nested classes are documented
 		  ///only in the concept class.
 		  ///
 		  ///This class provides only linear time counting for nodes, edges and arcs.
 		  ///
 		  ///\sa concepts::Graph
 		  ///\sa ListDigraph
 		  class ListGraph : public ExtendedListGraphBase {
 		    typedef ExtendedListGraphBase Parent;
 		  private:
 		    /// Graphs are \e not copy constructible. Use GraphCopy instead.
 		    ListGraph(const ListGraph &) :ExtendedListGraphBase()  {};
 		    /// \brief Assignment of a graph to another one is \e not allowed.
 		    /// Use GraphCopy instead.
 		    void operator=(const ListGraph &) {}
 		  public:
 		    /// Constructor
 		    /// Constructor.
 		    ///
 		    ListGraph() {}
 		    typedef Parent::OutArcIt IncEdgeIt;
 		    /// \brief Add a new node to the graph.
 		    ///
 		    /// This function adds a new node to the graph.
 		    /// \return The new node.
 		    Node addNode() { return Parent::addNode(); }
 		    /// \brief Add a new edge to the graph.
 		    ///
 		    /// This function adds a new edge to the graph between nodes
 		    /// \c u and \c v with inherent orientation from node \c u to
 		    /// node \c v.
 		    /// \return The new edge.
 		    Edge addEdge(Node u, Node v) {
 		      return Parent::addEdge(u, v);
+		    }
 		    ///\brief Erase a node from the graph.
 		    ///
-		    /// This function erases the given node from the graph.
+		    /// This function erases the given node along with its incident arcs
 		    /// from the graph.
 		    ///
 		    /// \note All iterators referencing the removed node or the incident
 		    /// edges are invalidated, of course.
 		    void erase(Node n) { Parent::erase(n); }
 		    ///\brief Erase an edge from the graph.
 		    ///
 		    /// This function erases the given edge from the graph.
 		    ///
 		    /// \note All iterators referencing the removed edge are invalidated,
 		    /// of course.
 		    void erase(Edge e) { Parent::erase(e); }
 		    /// Node validity check
 		    /// This function gives back \c true if the given node is valid,
 		    /// i.e. it is a real node of the graph.
 		    ///
 		    /// \warning A removed node could become valid again if new nodes are
 		    /// added to the graph.
 		    bool valid(Node n) const { return Parent::valid(n); }
 		    /// Edge validity check
 		    /// This function gives back \c true if the given edge is valid,
 		    /// i.e. it is a real edge of the graph.
 		    ///
 		    /// \warning A removed edge could become valid again if new edges are
 		    /// added to the graph.
 		    bool valid(Edge e) const { return Parent::valid(e); }
 		    /// Arc validity check
 		    /// This function gives back \c true if the given arc is valid,
 		    /// i.e. it is a real arc of the graph.
 		    ///
 		    /// \warning A removed arc could become valid again if new edges are
 		    /// added to the graph.
 		    bool valid(Arc a) const { return Parent::valid(a); }
 		    /// \brief Change the first node of an edge.
 		    ///
 		    /// This function changes the first node of the given edge \c e to \c n.
 		    ///
 		    ///\note \c EdgeIt and \c ArcIt iterators referencing the
 		    ///changed edge are invalidated and all other iterators whose
 		    ///base node is the changed node are also invalidated.
 		    ///
 		    ///\warning This functionality cannot be used together with the
 		    ///Snapshot feature.
 		    void changeU(Edge e, Node n) {
 		      Parent::changeU(e,n);
+		    }
 		    /// \brief Change the second node of an edge.
 		    ///
 		    /// This function changes the second node of the given edge \c e to \c n.
 		    ///
 		    ///\note \c EdgeIt iterators referencing the changed edge remain
 		    ///valid, however \c ArcIt iterators referencing the changed edge and
 		    ///all other iterators whose base node is the changed node are also
 		    ///invalidated.
 		    ///
 		    ///\warning This functionality cannot be used together with the
 		    ///Snapshot feature.
 		    void changeV(Edge e, Node n) {
 		      Parent::changeV(e,n);
+		    }
 		    /// \brief Contract two nodes.
 		    ///
 		    /// This function contracts the given two nodes.
 		    /// Node \c b is removed, but instead of deleting
 		    /// its incident edges, they are joined to node \c a.
 		    /// If the last parameter \c r is \c true (this is the default value),
 		    /// then the newly created loops are removed.
 		    ///
 		    /// \note The moved edges are joined to node \c a using changeU()
 		    /// or changeV(), thus all edge and arc iterators whose base node is
 		    /// \c b are invalidated.
 		    /// Moreover all iterators referencing node \c b or the removed
 		    /// loops are also invalidated. Other iterators remain valid.
 		    ///
 		    ///\warning This functionality cannot be used together with the
 		    ///Snapshot feature.
 		    void contract(Node a, Node b, bool r = true) {
 		      for(IncEdgeIt e(*this, b); e!=INVALID;) {
 		        IncEdgeIt f = e; ++f;
 		        if (r && runningNode(e) == a) {
 		          erase(e);
 		        } else if (u(e) == b) {
 		          changeU(e, a);
 		        } else {
 		          changeV(e, a);
+		        }
 		        e = f;
+		      }
 		      erase(b);
+		    }
 		    ///Clear the graph.
 		    ///This function erases all nodes and arcs from the graph.
 		    ///
 		    ///\note All iterators of the graph are invalidated, of course.
 		    void clear() {
 		      Parent::clear();
+		    }
 		    /// Reserve memory for nodes.
 		    /// Using this function, it is possible to avoid superfluous memory
 		    /// allocation: if you know that the graph you want to build will
 		    /// be large (e.g. it will contain millions of nodes and/or edges),
 		    /// then it is worth reserving space for this amount before starting
 		    /// to build the graph.
 		    /// \sa reserveEdge()
 		    void reserveNode(int n) { nodes.reserve(n); };
 		    /// Reserve memory for edges.
 		    /// Using this function, it is possible to avoid superfluous memory
 		    /// allocation: if you know that the graph you want to build will
 		    /// be large (e.g. it will contain millions of nodes and/or edges),
 		    /// then it is worth reserving space for this amount before starting
 		    /// to build the graph.
 		    /// \sa reserveNode()
 		    void reserveEdge(int m) { arcs.reserve(2 * m); };
 		    /// \brief Class to make a snapshot of the graph and restore
 		    /// it later.
 		    ///
 		    /// Class to make a snapshot of the graph and restore it later.
 		    ///
 		    /// The newly added nodes and edges can be removed
 		    /// using the restore() function.
 		    ///
 		    /// \note After a state is restored, you cannot restore a later state,
 		    /// i.e. you cannot add the removed nodes and edges again using
 		    /// another Snapshot instance.
 		    ///
 		    /// \warning Node and edge deletions and other modifications
 		    /// (e.g. changing the end-nodes of edges or contracting nodes)
 		    /// cannot be restored. These events invalidate the snapshot.
 		    /// However the edges and nodes that were added to the graph after
 		    /// making the current snapshot can be removed without invalidating it.
 		    class Snapshot {
 		    protected:
 		      typedef Parent::NodeNotifier NodeNotifier;
 		      class NodeObserverProxy : public NodeNotifier::ObserverBase {
 		      public:
 		        NodeObserverProxy(Snapshot& _snapshot)
 		          : snapshot(_snapshot) {}
 		        using NodeNotifier::ObserverBase::attach;
 		        using NodeNotifier::ObserverBase::detach;
 		        using NodeNotifier::ObserverBase::attached;
 		      protected:
 		        virtual void add(const Node& node) {
 		          snapshot.addNode(node);
+		        }
 		        virtual void add(const std::vector<Node>& nodes) {
 		          for (int i = nodes.size() - 1; i >= 0; ++i) {
 		            snapshot.addNode(nodes[i]);
+		          }
+		        }
 		        virtual void erase(const Node& node) {
 		          snapshot.eraseNode(node);
+		        }
 		        virtual void erase(const std::vector<Node>& nodes) {
 		          for (int i = 0; i < int(nodes.size()); ++i) {
 		            snapshot.eraseNode(nodes[i]);
+		          }
+		        }
 		        virtual void build() {
 		          Node node;
 		          std::vector<Node> nodes;
 		          for (notifier()->first(node); node != INVALID;
 		               notifier()->next(node)) {
 		            nodes.push_back(node);
+		          }
 		          for (int i = nodes.size() - 1; i >= 0; --i) {
 		            snapshot.addNode(nodes[i]);
+		          }
+		        }
 		        virtual void clear() {
 		          Node node;
 		          for (notifier()->first(node); node != INVALID;
 		               notifier()->next(node)) {
 		            snapshot.eraseNode(node);
+		          }
+		        }
 		        Snapshot& snapshot;
 		      };
 		      class EdgeObserverProxy : public EdgeNotifier::ObserverBase {
 		      public:
 		        EdgeObserverProxy(Snapshot& _snapshot)
 		          : snapshot(_snapshot) {}
 		        using EdgeNotifier::ObserverBase::attach;
 		        using EdgeNotifier::ObserverBase::detach;
 		        using EdgeNotifier::ObserverBase::attached;
 		      protected:
 		        virtual void add(const Edge& edge) {
 		          snapshot.addEdge(edge);
+		        }
 		        virtual void add(const std::vector<Edge>& edges) {
 		          for (int i = edges.size() - 1; i >= 0; ++i) {
 		            snapshot.addEdge(edges[i]);
+		          }
+		        }
 		        virtual void erase(const Edge& edge) {
 		          snapshot.eraseEdge(edge);
+		        }
 		        virtual void erase(const std::vector<Edge>& edges) {
 		          for (int i = 0; i < int(edges.size()); ++i) {
 		            snapshot.eraseEdge(edges[i]);
+		          }
+		        }
 		        virtual void build() {
 		          Edge edge;
 		          std::vector<Edge> edges;
 		          for (notifier()->first(edge); edge != INVALID;
 		               notifier()->next(edge)) {
 		            edges.push_back(edge);
+		          }
 		          for (int i = edges.size() - 1; i >= 0; --i) {
 		            snapshot.addEdge(edges[i]);
+		          }
+		        }
 		        virtual void clear() {
 		          Edge edge;
 		          for (notifier()->first(edge); edge != INVALID;
 		               notifier()->next(edge)) {
 		            snapshot.eraseEdge(edge);
+		          }
+		        }
 		        Snapshot& snapshot;
 		      };
 		      ListGraph *graph;
 		      NodeObserverProxy node_observer_proxy;
 		      EdgeObserverProxy edge_observer_proxy;
 		      std::list<Node> added_nodes;
 		      std::list<Edge> added_edges;
 		      void addNode(const Node& node) {
 		        added_nodes.push_front(node);
+		      }
 		      void eraseNode(const Node& node) {
 		        std::list<Node>::iterator it =
 		          std::find(added_nodes.begin(), added_nodes.end(), node);
 		        if (it == added_nodes.end()) {
 		          clear();
 		          edge_observer_proxy.detach();
 		          throw NodeNotifier::ImmediateDetach();
 		        } else {
 		          added_nodes.erase(it);
+		        }
+		      }
 		      void addEdge(const Edge& edge) {
 		        added_edges.push_front(edge);
+		      }
 		      void eraseEdge(const Edge& edge) {
 		        std::list<Edge>::iterator it =
 		          std::find(added_edges.begin(), added_edges.end(), edge);
 		        if (it == added_edges.end()) {
 		          clear();
 		          node_observer_proxy.detach();
 		          throw EdgeNotifier::ImmediateDetach();
 		        } else {
 		          added_edges.erase(it);
+		        }
+		      }
 		      void attach(ListGraph &_graph) {
 		        graph = &_graph;
 		        node_observer_proxy.attach(graph->notifier(Node()));
 		        edge_observer_proxy.attach(graph->notifier(Edge()));
+		      }
 		      void detach() {
 		        node_observer_proxy.detach();
 		        edge_observer_proxy.detach();
+		      }
 		      bool attached() const {
 		        return node_observer_proxy.attached();
+		      }
 		      void clear() {
 		        added_nodes.clear();
 		        added_edges.clear();
+		      }
 		    public:
 		      /// \brief Default constructor.
 		      ///
 		      /// Default constructor.
 		      /// You have to call save() to actually make a snapshot.
 		      Snapshot()
 		        : graph(0), node_observer_proxy(*this),
 		          edge_observer_proxy(*this) {}
 		      /// \brief Constructor that immediately makes a snapshot.
 		      ///
 		      /// This constructor immediately makes a snapshot of the given graph.
 		      Snapshot(ListGraph &gr)
 		        : node_observer_proxy(*this),
 		          edge_observer_proxy(*this) {
 		        attach(gr);
+		      }
 		      /// \brief Make a snapshot.
 		      ///
 		      /// This function makes a snapshot of the given graph.
 		      /// It can be called more than once. In case of a repeated
 		      /// call, the previous snapshot gets lost.
 		      void save(ListGraph &gr) {
 		        if (attached()) {
 		          detach();
 		          clear();
+		        }
 		        attach(gr);
+		      }
 		      /// \brief Undo the changes until the last snapshot.
 		      ///
 		      /// This function undos the changes until the last snapshot
 		      /// created by save() or Snapshot(ListGraph&).
 		      ///
 		      /// \warning This method invalidates the snapshot, i.e. repeated
 		      /// restoring is not supported unless you call save() again.
 		      void restore() {
 		        detach();
 		        for(std::list<Edge>::iterator it = added_edges.begin();
 		            it != added_edges.end(); ++it) {
 		          graph->erase(*it);
+		        }
 		        for(std::list<Node>::iterator it = added_nodes.begin();
 		            it != added_nodes.end(); ++it) {
 		          graph->erase(*it);
+		        }
 		        clear();
+		      }
 		      /// \brief Returns \c true if the snapshot is valid.
 		      ///
 		      /// This function returns \c true if the snapshot is valid.
 		      bool valid() const {
 		        return attached();
+		      }
 		    };
 		  };
 		  /// @}
 		} //namespace lemon
 		#endif

lemon/smart_graph.h

Show inline comments

 		/* -*- mode: C++; indent-tabs-mode: nil; -*-
+		 *
 		 * This file is a part of LEMON, a generic C++ optimization library.
+		 *
 		 * Copyright (C) 2003-2009
 		 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
 		 * (Egervary Research Group on Combinatorial Optimization, EGRES).
+		 *
 		 * Permission to use, modify and distribute this software is granted
 		 * provided that this copyright notice appears in all copies. For
 		 * precise terms see the accompanying LICENSE file.
+		 *
 		 * This software is provided "AS IS" with no warranty of any kind,
 		 * express or implied, and with no claim as to its suitability for any
 		 * purpose.
+		 *
 		 */
 		#ifndef LEMON_SMART_GRAPH_H
 		#define LEMON_SMART_GRAPH_H
 		///\ingroup graphs
 		///\file
 		///\brief SmartDigraph and SmartGraph classes.
 		#include <vector>
 		#include <lemon/core.h>
 		#include <lemon/error.h>
 		#include <lemon/bits/graph_extender.h>
 		namespace lemon {
 		  class SmartDigraph;
 		  class SmartDigraphBase {
 		  protected:
 		    struct NodeT
+		    {
 		      int first_in, first_out;
 		      NodeT() {}
 		    };
 		    struct ArcT
+		    {
 		      int target, source, next_in, next_out;
 		      ArcT() {}
 		    };
 		    std::vector<NodeT> nodes;
 		    std::vector<ArcT> arcs;
 		  public:
 		    typedef SmartDigraphBase Digraph;
 		    class Node;
 		    class Arc;
 		  public:
 		    SmartDigraphBase() : nodes(), arcs() { }
 		    SmartDigraphBase(const SmartDigraphBase &_g)
 		      : nodes(_g.nodes), arcs(_g.arcs) { }
 		    typedef True NodeNumTag;
 		    typedef True ArcNumTag;
 		    int nodeNum() const { return nodes.size(); }
 		    int arcNum() const { return arcs.size(); }
 		    int maxNodeId() const { return nodes.size()-1; }
 		    int maxArcId() const { return arcs.size()-1; }
 		    Node addNode() {
 		      int n = nodes.size();
 		      nodes.push_back(NodeT());
 		      nodes[n].first_in = -1;
 		      nodes[n].first_out = -1;
 		      return Node(n);
+		    }
 		    Arc addArc(Node u, Node v) {
 		      int n = arcs.size();
 		      arcs.push_back(ArcT());
 		      arcs[n].source = u._id;
 		      arcs[n].target = v._id;
 		      arcs[n].next_out = nodes[u._id].first_out;
 		      arcs[n].next_in = nodes[v._id].first_in;
 		      nodes[u._id].first_out = nodes[v._id].first_in = n;
 		      return Arc(n);
+		    }
 		    void clear() {
 		      arcs.clear();
 		      nodes.clear();
+		    }
 		    Node source(Arc a) const { return Node(arcs[a._id].source); }
 		    Node target(Arc a) const { return Node(arcs[a._id].target); }
 		    static int id(Node v) { return v._id; }
 		    static int id(Arc a) { return a._id; }
 		    static Node nodeFromId(int id) { return Node(id);}
 		    static Arc arcFromId(int id) { return Arc(id);}
 		    bool valid(Node n) const {
 		      return n._id >= 0 && n._id < static_cast<int>(nodes.size());
+		    }
 		    bool valid(Arc a) const {
 		      return a._id >= 0 && a._id < static_cast<int>(arcs.size());
+		    }
 		    class Node {
 		      friend class SmartDigraphBase;
 		      friend class SmartDigraph;
 		    protected:
 		      int _id;
 		      explicit Node(int id) : _id(id) {}
 		    public:
 		      Node() {}
 		      Node (Invalid) : _id(-1) {}
 		      bool operator==(const Node i) const {return _id == i._id;}
 		      bool operator!=(const Node i) const {return _id != i._id;}
 		      bool operator<(const Node i) const {return _id < i._id;}
 		    };
 		    class Arc {
 		      friend class SmartDigraphBase;
 		      friend class SmartDigraph;
 		    protected:
 		      int _id;
 		      explicit Arc(int id) : _id(id) {}
 		    public:
 		      Arc() { }
 		      Arc (Invalid) : _id(-1) {}
 		      bool operator==(const Arc i) const {return _id == i._id;}
 		      bool operator!=(const Arc i) const {return _id != i._id;}
 		      bool operator<(const Arc i) const {return _id < i._id;}
 		    };
 		    void first(Node& node) const {
 		      node._id = nodes.size() - 1;
+		    }
 		    static void next(Node& node) {
 		      --node._id;
+		    }
 		    void first(Arc& arc) const {
 		      arc._id = arcs.size() - 1;
+		    }
 		    static void next(Arc& arc) {
 		      --arc._id;
+		    }
 		    void firstOut(Arc& arc, const Node& node) const {
 		      arc._id = nodes[node._id].first_out;
+		    }
 		    void nextOut(Arc& arc) const {
 		      arc._id = arcs[arc._id].next_out;
+		    }
 		    void firstIn(Arc& arc, const Node& node) const {
 		      arc._id = nodes[node._id].first_in;
+		    }
 		    void nextIn(Arc& arc) const {
 		      arc._id = arcs[arc._id].next_in;
+		    }
 		  };
 		  typedef DigraphExtender<SmartDigraphBase> ExtendedSmartDigraphBase;
 		  ///\ingroup graphs
 		  ///
 		  ///\brief A smart directed graph class.
 		  ///
 		  ///\ref SmartDigraph is a simple and fast digraph implementation.
 		  ///It is also quite memory efficient but at the price
 		  ///that it does not support node and arc deletion
 		  ///(except for the Snapshot feature).
 		  ///
 		  ///This type fully conforms to the \ref concepts::Digraph "Digraph concept"
 		  ///and it also provides some additional functionalities.
 		  ///Most of its member functions and nested classes are documented
 		  ///only in the concept class.
 		  ///
 		  ///This class provides constant time counting for nodes and arcs.
 		  ///
 		  ///\sa concepts::Digraph
 		  ///\sa SmartGraph
 		  class SmartDigraph : public ExtendedSmartDigraphBase {
 		    typedef ExtendedSmartDigraphBase Parent;
 		  private:
 		    /// Digraphs are \e not copy constructible. Use DigraphCopy instead.
 		    SmartDigraph(const SmartDigraph &) : ExtendedSmartDigraphBase() {};
 		    /// \brief Assignment of a digraph to another one is \e not allowed.
 		    /// Use DigraphCopy instead.
 		    void operator=(const SmartDigraph &) {}
 		  public:
 		    /// Constructor
 		    /// Constructor.
 		    ///
 		    SmartDigraph() {};
 		    ///Add a new node to the digraph.
 		    ///This function adds a new node to the digraph.
 		    ///\return The new node.
 		    Node addNode() { return Parent::addNode(); }
 		    ///Add a new arc to the digraph.
 		    ///This function adds a new arc to the digraph with source node \c s
 		    ///and target node \c t.
 		    ///\return The new arc.
 		    Arc addArc(Node s, Node t) {
 		      return Parent::addArc(s, t);
+		    }
 		    /// \brief Node validity check
 		    ///
 		    /// This function gives back \c true if the given node is valid,
 		    /// i.e. it is a real node of the digraph.
 		    ///
 		    /// \warning A removed node (using Snapshot) could become valid again
 		    /// if new nodes are added to the digraph.
 		    bool valid(Node n) const { return Parent::valid(n); }
 		    /// \brief Arc validity check
 		    ///
 		    /// This function gives back \c true if the given arc is valid,
 		    /// i.e. it is a real arc of the digraph.
 		    ///
 		    /// \warning A removed arc (using Snapshot) could become valid again
 		    /// if new arcs are added to the graph.
 		    bool valid(Arc a) const { return Parent::valid(a); }
 		    ///Split a node.
 		    ///This function splits the given node. First, a new node is added
 		    ///to the digraph, then the source of each outgoing arc of node \c n
 		    ///is moved to this new node.
 		    ///If the second parameter \c connect is \c true (this is the default
 		    ///value), then a new arc from node \c n to the newly created node
 		    ///is also added.
 		    ///\return The newly created node.
 		    ///
 		    ///\note All iterators remain valid.
 		    ///
 		    ///\warning This functionality cannot be used together with the Snapshot
 		    ///feature.
 		    Node split(Node n, bool connect = true)
+		    {
 		      Node b = addNode();
 		      nodes[b._id].first_out=nodes[n._id].first_out;
 		      nodes[n._id].first_out=-1;
 		      for(int i=nodes[b._id].first_out; i!=-1; i=arcs[i].next_out) {
 		        arcs[i].source=b._id;
+		      }
 		      if(connect) addArc(n,b);
 		      return b;
+		    }
 		    ///Clear the digraph.
 		    ///This function erases all nodes and arcs from the digraph.
 		    ///
 		    void clear() {
 		      Parent::clear();
+		    }
 		    /// Reserve memory for nodes.
 		    /// Using this function, it is possible to avoid superfluous memory
 		    /// allocation: if you know that the digraph you want to build will
 		    /// be large (e.g. it will contain millions of nodes and/or arcs),
 		    /// then it is worth reserving space for this amount before starting
 		    /// to build the digraph.
 		    /// \sa reserveArc()
 		    void reserveNode(int n) { nodes.reserve(n); };
 		    /// Reserve memory for arcs.
 		    /// Using this function, it is possible to avoid superfluous memory
 		    /// allocation: if you know that the digraph you want to build will
 		    /// be large (e.g. it will contain millions of nodes and/or arcs),
 		    /// then it is worth reserving space for this amount before starting
 		    /// to build the digraph.
 		    /// \sa reserveNode()
 		    void reserveArc(int m) { arcs.reserve(m); };
 		  public:
 		    class Snapshot;
 		  protected:
 		    void restoreSnapshot(const Snapshot &s)
+		    {
 		      while(s.arc_num<arcs.size()) {
 		        Arc arc = arcFromId(arcs.size()-1);
 		        Parent::notifier(Arc()).erase(arc);
 		        nodes[arcs.back().source].first_out=arcs.back().next_out;
 		        nodes[arcs.back().target].first_in=arcs.back().next_in;
 		        arcs.pop_back();
+		      }
 		      while(s.node_num<nodes.size()) {
 		        Node node = nodeFromId(nodes.size()-1);
 		        Parent::notifier(Node()).erase(node);
 		        nodes.pop_back();
+		      }
+		    }
 		  public:
 		    ///Class to make a snapshot of the digraph and to restore it later.
 		    ///Class to make a snapshot of the digraph and to restore it later.
 		    ///
 		    ///The newly added nodes and arcs can be removed using the
 		    ///restore() function. This is the only way for deleting nodes and/or
 		    ///arcs from a SmartDigraph structure.
 		    ///
 		    ///\note After a state is restored, you cannot restore a later state,
 		    ///i.e. you cannot add the removed nodes and arcs again using
 		    ///another Snapshot instance.
 		    ///
 		    ///\warning Node splitting cannot be restored.
 		    ///\warning The validity of the snapshot is not stored due to
 		    ///performance reasons. If you do not use the snapshot correctly,
 		    ///it can cause broken program, invalid or not restored state of
 		    ///the digraph or no change.
 		    class Snapshot
+		    {
 		      SmartDigraph *_graph;
 		    protected:
 		      friend class SmartDigraph;
 		      unsigned int node_num;
 		      unsigned int arc_num;
 		    public:
 		      ///Default constructor.
 		      ///Default constructor.
 		      ///You have to call save() to actually make a snapshot.
 		      Snapshot() : _graph(0) {}
 		      ///Constructor that immediately makes a snapshot
 		      ///This constructor immediately makes a snapshot of the given digraph.
 		      ///
 		      Snapshot(SmartDigraph &gr) : _graph(&gr) {
 		        node_num=_graph->nodes.size();
 		        arc_num=_graph->arcs.size();
+		      }
 		      ///Make a snapshot.
 		      ///This function makes a snapshot of the given digraph.
 		      ///It can be called more than once. In case of a repeated
 		      ///call, the previous snapshot gets lost.
 		      void save(SmartDigraph &gr) {
 		        _graph=&gr;
 		        node_num=_graph->nodes.size();
 		        arc_num=_graph->arcs.size();
+		      }
 		      ///Undo the changes until a snapshot.
 		      ///This function undos the changes until the last snapshot
 		      ///created by save() or Snapshot(SmartDigraph&).
 		      void restore()
+		      {
 		        _graph->restoreSnapshot(*this);
+		      }
 		    };
 		  };
 		  class SmartGraphBase {
 		  protected:
 		    struct NodeT {
 		      int first_out;
 		    };
 		    struct ArcT {
 		      int target;
 		      int next_out;
 		    };
 		    std::vector<NodeT> nodes;
 		    std::vector<ArcT> arcs;
 		    int first_free_arc;
 		  public:
 		    typedef SmartGraphBase Graph;
 		    class Node;
 		    class Arc;
 		    class Edge;
 		    class Node {
 		      friend class SmartGraphBase;
 		    protected:
 		      int _id;
 		      explicit Node(int id) { _id = id;}
 		    public:
 		      Node() {}
 		      Node (Invalid) { _id = -1; }
 		      bool operator==(const Node& node) const {return _id == node._id;}
 		      bool operator!=(const Node& node) const {return _id != node._id;}
 		      bool operator<(const Node& node) const {return _id < node._id;}
 		    };
 		    class Edge {
 		      friend class SmartGraphBase;
 		    protected:
 		      int _id;
 		      explicit Edge(int id) { _id = id;}
 		    public:
 		      Edge() {}
 		      Edge (Invalid) { _id = -1; }
 		      bool operator==(const Edge& arc) const {return _id == arc._id;}
 		      bool operator!=(const Edge& arc) const {return _id != arc._id;}
 		      bool operator<(const Edge& arc) const {return _id < arc._id;}
 		    };
 		    class Arc {
 		      friend class SmartGraphBase;
 		    protected:
 		      int _id;
 		      explicit Arc(int id) { _id = id;}
 		    public:
 		      operator Edge() const {
 		        return _id != -1 ? edgeFromId(_id / 2) : INVALID;
+		      }
 		      Arc() {}
 		      Arc (Invalid) { _id = -1; }
 		      bool operator==(const Arc& arc) const {return _id == arc._id;}
 		      bool operator!=(const Arc& arc) const {return _id != arc._id;}
 		      bool operator<(const Arc& arc) const {return _id < arc._id;}
 		    };
 		    SmartGraphBase()
 		      : nodes(), arcs() {}
 		    typedef True NodeNumTag;
 		    typedef True EdgeNumTag;
 		    typedef True ArcNumTag;
 		    int nodeNum() const { return nodes.size(); }
 		    int edgeNum() const { return arcs.size() / 2; }
 		    int arcNum() const { return arcs.size(); }
 		    int maxNodeId() const { return nodes.size()-1; }
 		    int maxEdgeId() const { return arcs.size() / 2 - 1; }
 		    int maxArcId() const { return arcs.size()-1; }
 		    Node source(Arc e) const { return Node(arcs[e._id ^ 1].target); }
 		    Node target(Arc e) const { return Node(arcs[e._id].target); }
 		    Node u(Edge e) const { return Node(arcs[2 * e._id].target); }
 		    Node v(Edge e) const { return Node(arcs[2 * e._id + 1].target); }
 		    static bool direction(Arc e) {
 		      return (e._id & 1) == 1;
+		    }
 		    static Arc direct(Edge e, bool d) {
 		      return Arc(e._id * 2 + (d ? 1 : 0));
+		    }
 		    void first(Node& node) const {
 		      node._id = nodes.size() - 1;
+		    }
 		    static void next(Node& node) {
 		      --node._id;
+		    }
 		    void first(Arc& arc) const {
 		      arc._id = arcs.size() - 1;
+		    }
 		    static void next(Arc& arc) {
 		      --arc._id;
+		    }
 		    void first(Edge& arc) const {
 		      arc._id = arcs.size() / 2 - 1;
+		    }
 		    static void next(Edge& arc) {
 		      --arc._id;
+		    }
 		    void firstOut(Arc &arc, const Node& v) const {
 		      arc._id = nodes[v._id].first_out;
+		    }
 		    void nextOut(Arc &arc) const {
 		      arc._id = arcs[arc._id].next_out;
+		    }
 		    void firstIn(Arc &arc, const Node& v) const {
 		      arc._id = ((nodes[v._id].first_out) ^ 1);
 		      if (arc._id == -2) arc._id = -1;
+		    }
 		    void nextIn(Arc &arc) const {
 		      arc._id = ((arcs[arc._id ^ 1].next_out) ^ 1);
 		      if (arc._id == -2) arc._id = -1;
+		    }
 		    void firstInc(Edge &arc, bool& d, const Node& v) const {
 		      int de = nodes[v._id].first_out;
 		      if (de != -1) {
 		        arc._id = de / 2;
 		        d = ((de & 1) == 1);
 		      } else {
 		        arc._id = -1;
 		        d = true;
+		      }
+		    }
 		    void nextInc(Edge &arc, bool& d) const {
 		      int de = (arcs[(arc._id * 2) | (d ? 1 : 0)].next_out);
 		      if (de != -1) {
 		        arc._id = de / 2;
 		        d = ((de & 1) == 1);
 		      } else {
 		        arc._id = -1;
 		        d = true;
+		      }
+		    }
 		    static int id(Node v) { return v._id; }
 		    static int id(Arc e) { return e._id; }
 		    static int id(Edge e) { return e._id; }
 		    static Node nodeFromId(int id) { return Node(id);}
 		    static Arc arcFromId(int id) { return Arc(id);}
 		    static Edge edgeFromId(int id) { return Edge(id);}
 		    bool valid(Node n) const {
 		      return n._id >= 0 && n._id < static_cast<int>(nodes.size());
+		    }
 		    bool valid(Arc a) const {
 		      return a._id >= 0 && a._id < static_cast<int>(arcs.size());
+		    }
 		    bool valid(Edge e) const {
 		      return e._id >= 0 && 2 * e._id < static_cast<int>(arcs.size());
+		    }
 		    Node addNode() {
 		      int n = nodes.size();
 		      nodes.push_back(NodeT());
 		      nodes[n].first_out = -1;
 		      return Node(n);
+		    }
 		    Edge addEdge(Node u, Node v) {
 		      int n = arcs.size();
 		      arcs.push_back(ArcT());
 		      arcs.push_back(ArcT());
 		      arcs[n].target = u._id;
 		      arcs[n | 1].target = v._id;
 		      arcs[n].next_out = nodes[v._id].first_out;
 		      nodes[v._id].first_out = n;
 		      arcs[n | 1].next_out = nodes[u._id].first_out;
 		      nodes[u._id].first_out = (n | 1);
 		      return Edge(n / 2);
+		    }
 		    void clear() {
 		      arcs.clear();
 		      nodes.clear();
+		    }
 		  };
 		  typedef GraphExtender<SmartGraphBase> ExtendedSmartGraphBase;
 		  /// \ingroup graphs
 		  ///
 		  /// \brief A smart undirected graph class.
 		  ///
 		  /// \ref SmartGraph is a simple and fast graph implementation.
 		  /// It is also quite memory efficient but at the price
 		  /// that it does not support node and edge deletion
 		  /// (except for the Snapshot feature).
 		  ///
 		  /// This type fully conforms to the \ref concepts::Graph "Graph concept"
 		  /// and it also provides some additional functionalities.
 		  /// Most of its member functions and nested classes are documented
 		  /// only in the concept class.
 		  ///
 		  /// This class provides constant time counting for nodes, edges and arcs.
 		  ///
 		  /// \sa concepts::Graph
 		  /// \sa SmartDigraph
 		  class SmartGraph : public ExtendedSmartGraphBase {
 		    typedef ExtendedSmartGraphBase Parent;
 		  private:
 		    /// Graphs are \e not copy constructible. Use GraphCopy instead.
 		    SmartGraph(const SmartGraph &) : ExtendedSmartGraphBase() {};
 		    /// \brief Assignment of a graph to another one is \e not allowed.
 		    /// Use GraphCopy instead.
 		    void operator=(const SmartGraph &) {}
 		  public:
 		    /// Constructor
 		    /// Constructor.
 		    ///
 		    SmartGraph() {}
 		    /// \brief Add a new node to the graph.
 		    ///
 		    /// This function adds a new node to the graph.
 		    /// \return The new node.
 		    Node addNode() { return Parent::addNode(); }
 		    /// \brief Add a new edge to the graph.
 		    ///
 		    /// This function adds a new edge to the graph between nodes
 		    /// \c u and \c v with inherent orientation from node \c u to
 		    /// node \c v.
 		    /// \return The new edge.
 		    Edge addEdge(Node u, Node v) {
 		      return Parent::addEdge(u, v);
+		    }
 		    /// \brief Node validity check
 		    ///
 		    /// This function gives back \c true if the given node is valid,
 		    /// i.e. it is a real node of the graph.
 		    ///
 		    /// \warning A removed node (using Snapshot) could become valid again
 		    /// if new nodes are added to the graph.
 		    bool valid(Node n) const { return Parent::valid(n); }
 		    /// \brief Edge validity check
 		    ///
 		    /// This function gives back \c true if the given edge is valid,
 		    /// i.e. it is a real edge of the graph.
 		    ///
 		    /// \warning A removed edge (using Snapshot) could become valid again
 		    /// if new edges are added to the graph.
 		    bool valid(Edge e) const { return Parent::valid(e); }
 		    /// \brief Arc validity check
 		    ///
 		    /// This function gives back \c true if the given arc is valid,
 		    /// i.e. it is a real arc of the graph.
 		    ///
 		    /// \warning A removed arc (using Snapshot) could become valid again
 		    /// if new edges are added to the graph.
 		    bool valid(Arc a) const { return Parent::valid(a); }
 		    ///Clear the graph.
 		    ///This function erases all nodes and arcs from the graph.
 		    ///
 		    void clear() {
 		      Parent::clear();
+		    }
 		    /// Reserve memory for nodes.
 		    /// Using this function, it is possible to avoid superfluous memory
 		    /// allocation: if you know that the graph you want to build will
 		    /// be large (e.g. it will contain millions of nodes and/or edges),
 		    /// then it is worth reserving space for this amount before starting
 		    /// to build the graph.
 		    /// \sa reserveEdge()
 		    void reserveNode(int n) { nodes.reserve(n); };
 		    /// Reserve memory for edges.
 		    /// Using this function, it is possible to avoid superfluous memory
 		    /// allocation: if you know that the graph you want to build will
 		    /// be large (e.g. it will contain millions of nodes and/or edges),
 		    /// then it is worth reserving space for this amount before starting
 		    /// to build the graph.
 		    /// \sa reserveNode()
 		    void reserveEdge(int m) { arcs.reserve(2 * m); };
 		  public:
 		    class Snapshot;
 		  protected:
 		    void saveSnapshot(Snapshot &s)
+		    {
 		      s._graph = this;
 		      s.node_num = nodes.size();
 		      s.arc_num = arcs.size();
+		    }
 		    void restoreSnapshot(const Snapshot &s)
+		    {
 		      while(s.arc_num<arcs.size()) {
 		        int n=arcs.size()-1;
 		        Edge arc=edgeFromId(n/2);
 		        Parent::notifier(Edge()).erase(arc);
 		        std::vector<Arc> dir;
 		        dir.push_back(arcFromId(n));
 		        dir.push_back(arcFromId(n-1));
 		        Parent::notifier(Arc()).erase(dir);
 		        nodes[arcs[n-1].target].first_out=arcs[n].next_out;
 		        nodes[arcs[n].target].first_out=arcs[n-1].next_out;
 		        arcs.pop_back();
 		        arcs.pop_back();
+		      }
 		      while(s.node_num<nodes.size()) {
 		        int n=nodes.size()-1;
 		        Node node = nodeFromId(n);
 		        Parent::notifier(Node()).erase(node);
 		        nodes.pop_back();
+		      }
+		    }
 		  public:
 		    ///Class to make a snapshot of the graph and to restore it later.
 		    ///Class to make a snapshot of the graph and to restore it later.
 		    ///
 		    ///The newly added nodes and edges can be removed using the
 		    ///restore() function. This is the only way for deleting nodes and/or
 		    ///edges from a SmartGraph structure.
 		    ///
 		    ///\note After a state is restored, you cannot restore a later state,
 		    ///i.e. you cannot add the removed nodes and edges again using
 		    ///another Snapshot instance.
 		    ///
 		    ///\warning The validity of the snapshot is not stored due to
 		    ///performance reasons. If you do not use the snapshot correctly,
 		    ///it can cause broken program, invalid or not restored state of
 		    ///the graph or no change.
 		    class Snapshot
+		    {
 		      SmartGraph *_graph;
 		    protected:
 		      friend class SmartGraph;
 		      unsigned int node_num;
 		      unsigned int arc_num;
 		    public:
 		      ///Default constructor.
 		      ///Default constructor.
 		      ///You have to call save() to actually make a snapshot.
 		      Snapshot() : _graph(0) {}
 		      ///Constructor that immediately makes a snapshot
 		      /// This constructor immediately makes a snapshot of the given graph.
 		      ///
 		      Snapshot(SmartGraph &gr) {
 		        gr.saveSnapshot(*this);
+		      }
 		      ///Make a snapshot.
 		      ///This function makes a snapshot of the given graph.
 		      ///It can be called more than once. In case of a repeated
 		      ///call, the previous snapshot gets lost.
 		      void save(SmartGraph &gr)
+		      {
 		        gr.saveSnapshot(*this);
+		      }
 		      ///Undo the changes until the last snapshot.
 		      ///This function undos the changes until the last snapshot
 		      ///created by save() or Snapshot(SmartGraph&).
 		      void restore()
+		      {
 		        _graph->restoreSnapshot(*this);
+		      }
 		    };
 		  };
 		} //namespace lemon
 		#endif //LEMON_SMART_GRAPH_H

lemon/static_graph.h

Show inline comments

 		/* -*- C++ -*-
+		 *
 		 * 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_STATIC_GRAPH_H
 		#define LEMON_STATIC_GRAPH_H
 		///\ingroup graphs
 		///\file
 		///\brief StaticDigraph class.
 		#include <lemon/core.h>
 		#include <lemon/bits/graph_extender.h>
 		namespace lemon {
 		  class StaticDigraphBase {
 		  public:
 		    StaticDigraphBase()
 		      : built(false), node_num(0), arc_num(0),
 		        node_first_out(NULL), node_first_in(NULL),
 		        arc_source(NULL), arc_target(NULL),
 		        arc_next_in(NULL), arc_next_out(NULL) {}
 		    ~StaticDigraphBase() {
 		      if (built) {
 		        delete[] node_first_out;
 		        delete[] node_first_in;
 		        delete[] arc_source;
 		        delete[] arc_target;
 		        delete[] arc_next_out;
 		        delete[] arc_next_in;
+		      }
+		    }
 		    class Node {
 		      friend class StaticDigraphBase;
 		    protected:
 		      int id;
 		      Node(int _id) : id(_id) {}
 		    public:
 		      Node() {}
 		      Node (Invalid) : id(-1) {}
 		      bool operator==(const Node& node) const { return id == node.id; }
 		      bool operator!=(const Node& node) const { return id != node.id; }
 		      bool operator<(const Node& node) const { return id < node.id; }
 		    };
 		    class Arc {
 		      friend class StaticDigraphBase;
 		    protected:
 		      int id;
 		      Arc(int _id) : id(_id) {}
 		    public:
 		      Arc() { }
 		      Arc (Invalid) : id(-1) {}
 		      bool operator==(const Arc& arc) const { return id == arc.id; }
 		      bool operator!=(const Arc& arc) const { return id != arc.id; }
 		      bool operator<(const Arc& arc) const { return id < arc.id; }
 		    };
 		    Node source(const Arc& e) const { return Node(arc_source[e.id]); }
 		    Node target(const Arc& e) const { return Node(arc_target[e.id]); }
 		    void first(Node& n) const { n.id = node_num - 1; }
 		    static void next(Node& n) { --n.id; }
 		    void first(Arc& e) const { e.id = arc_num - 1; }
 		    static void next(Arc& e) { --e.id; }
 		    void firstOut(Arc& e, const Node& n) const {
 		      e.id = node_first_out[n.id] != node_first_out[n.id + 1] ?
 		        node_first_out[n.id] : -1;
+		    }
 		    void nextOut(Arc& e) const { e.id = arc_next_out[e.id]; }
 		    void firstIn(Arc& e, const Node& n) const { e.id = node_first_in[n.id]; }
 		    void nextIn(Arc& e) const { e.id = arc_next_in[e.id]; }
 		    static int id(const Node& n) { return n.id; }
 		    static Node nodeFromId(int id) { return Node(id); }
 		    int maxNodeId() const { return node_num - 1; }
 		    static int id(const Arc& e) { return e.id; }
 		    static Arc arcFromId(int id) { return Arc(id); }
 		    int maxArcId() const { return arc_num - 1; }
 		    typedef True NodeNumTag;
 		    typedef True ArcNumTag;
 		    int nodeNum() const { return node_num; }
 		    int arcNum() const { return arc_num; }
 		  private:
 		    template <typename Digraph, typename NodeRefMap>
 		    class ArcLess {
 		    public:
 		      typedef typename Digraph::Arc Arc;
 		      ArcLess(const Digraph &_graph, const NodeRefMap& _nodeRef)
 		        : digraph(_graph), nodeRef(_nodeRef) {}
 		      bool operator()(const Arc& left, const Arc& right) const {
 			return nodeRef[digraph.target(left)] < nodeRef[digraph.target(right)];
+		      }
 		    private:
 		      const Digraph& digraph;
 		      const NodeRefMap& nodeRef;
 		    };
 		  public:
 		    typedef True BuildTag;
 		    void clear() {
 		      if (built) {
 		        delete[] node_first_out;
 		        delete[] node_first_in;
 		        delete[] arc_source;
 		        delete[] arc_target;
 		        delete[] arc_next_out;
 		        delete[] arc_next_in;
+		      }
 		      built = false;
 		      node_num = 0;
 		      arc_num = 0;
+		    }
 		    template <typename Digraph, typename NodeRefMap, typename ArcRefMap>
 		    void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) {
 		      typedef typename Digraph::Node GNode;
 		      typedef typename Digraph::Arc GArc;
 		      built = true;
 		      node_num = countNodes(digraph);
 		      arc_num = countArcs(digraph);
 		      node_first_out = new int[node_num + 1];
 		      node_first_in = new int[node_num];
 		      arc_source = new int[arc_num];
 		      arc_target = new int[arc_num];
 		      arc_next_out = new int[arc_num];
 		      arc_next_in = new int[arc_num];
 		      int node_index = 0;
 		      for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
 		        nodeRef[n] = Node(node_index);
 		        node_first_in[node_index] = -1;
 		        ++node_index;
+		      }
 		      ArcLess<Digraph, NodeRefMap> arcLess(digraph, nodeRef);
 		      int arc_index = 0;
 		      for (typename Digraph::NodeIt n(digraph); n != INVALID; ++n) {
 		        int source = nodeRef[n].id;
 		        std::vector<GArc> arcs;
 		        for (typename Digraph::OutArcIt e(digraph, n); e != INVALID; ++e) {
 		          arcs.push_back(e);
+		        }
 		        if (!arcs.empty()) {
 		          node_first_out[source] = arc_index;
 		          std::sort(arcs.begin(), arcs.end(), arcLess);
 		          for (typename std::vector<GArc>::iterator it = arcs.begin();
 		               it != arcs.end(); ++it) {
 		            int target = nodeRef[digraph.target(*it)].id;
 		            arcRef[*it] = Arc(arc_index);
 		            arc_source[arc_index] = source;
 		            arc_target[arc_index] = target;
 		            arc_next_in[arc_index] = node_first_in[target];
 		            node_first_in[target] = arc_index;
 		            arc_next_out[arc_index] = arc_index + 1;
 		            ++arc_index;
+		          }
 		          arc_next_out[arc_index - 1] = -1;
 		        } else {
 		          node_first_out[source] = arc_index;
+		        }
+		      }
 		      node_first_out[node_num] = arc_num;
+		    }
 		    template <typename ArcListIterator>
 		    void build(int n, ArcListIterator first, ArcListIterator last) {
 		      built = true;
 		      node_num = n;
 		      arc_num = std::distance(first, last);
 		      node_first_out = new int[node_num + 1];
 		      node_first_in = new int[node_num];
 		      arc_source = new int[arc_num];
 		      arc_target = new int[arc_num];
 		      arc_next_out = new int[arc_num];
 		      arc_next_in = new int[arc_num];
 		      for (int i = 0; i != node_num; ++i) {
 		        node_first_in[i] = -1;
+		      }
 		      int arc_index = 0;
 		      for (int i = 0; i != node_num; ++i) {
 		        node_first_out[i] = arc_index;
 		        for ( ; first != last && (*first).first == i; ++first) {
 		          int j = (*first).second;
 		          LEMON_ASSERT(j >= 0 && j < node_num,
 		            "Wrong arc list for StaticDigraph::build()");
 		          arc_source[arc_index] = i;
 		          arc_target[arc_index] = j;
 		          arc_next_in[arc_index] = node_first_in[j];
 		          node_first_in[j] = arc_index;
 		          arc_next_out[arc_index] = arc_index + 1;
 		          ++arc_index;
+		        }
 		        if (arc_index > node_first_out[i])
 		          arc_next_out[arc_index - 1] = -1;
+		      }
 		      LEMON_ASSERT(first == last,
 		        "Wrong arc list for StaticDigraph::build()");
 		      node_first_out[node_num] = arc_num;
+		    }
 		  protected:
 		    void fastFirstOut(Arc& e, const Node& n) const {
 		      e.id = node_first_out[n.id];
+		    }
 		    static void fastNextOut(Arc& e) {
 		      ++e.id;
+		    }
 		    void fastLastOut(Arc& e, const Node& n) const {
 		      e.id = node_first_out[n.id + 1];
+		    }
 		  protected:
 		    bool built;
 		    int node_num;
 		    int arc_num;
 		    int *node_first_out;
 		    int *node_first_in;
 		    int *arc_source;
 		    int *arc_target;
 		    int *arc_next_in;
 		    int *arc_next_out;
 		  };
 		  typedef DigraphExtender<StaticDigraphBase> ExtendedStaticDigraphBase;
 		  /// \ingroup graphs
 		  ///
 		  /// \brief A static directed graph class.
 		  ///
 		  /// \ref StaticDigraph is a highly efficient digraph implementation,
 		  /// but it is fully static.
 		  /// It stores only two \c int values for each node and only four \c int
 		  /// values for each arc. Moreover it provides faster item iteration than
 		  /// \ref ListDigraph and \ref SmartDigraph, especially using \c OutArcIt
 		  /// iterators, since its arcs are stored in an appropriate order.
 		  /// However it only provides build() and clear() functions and does not
 		  /// support any other modification of the digraph.
 		  ///
 		  /// Since this digraph structure is completely static, its nodes and arcs
 		  /// can be indexed with integers from the ranges <tt>[0..nodeNum()-1]</tt>
 		  /// and <tt>[0..arcNum()-1]</tt>, respectively.
 		  /// The index of an item is the same as its ID, it can be obtained
 		  /// using the corresponding \ref index() or \ref concepts::Digraph::id()
 		  /// "id()" function. A node or arc with a certain index can be obtained
 		  /// using node() or arc().
 		  ///
 		  /// This type fully conforms to the \ref concepts::Digraph "Digraph concept".
 		  /// Most of its member functions and nested classes are documented
 		  /// only in the concept class.
 		  ///
 		  /// This class provides constant time counting for nodes and arcs.
 		  ///
 		  /// \sa concepts::Digraph
 		  class StaticDigraph : public ExtendedStaticDigraphBase {
 		  public:
 		    typedef ExtendedStaticDigraphBase Parent;
 		  public:
 		    /// \brief Constructor
 		    ///
 		    /// Default constructor.
 		    StaticDigraph() : Parent() {}
 		    /// \brief The node with the given index.
 		    ///
 		    /// This function returns the node with the given index.
 		    /// \sa index()
 		    static Node node(int ix) { return Parent::nodeFromId(ix); }
 		    /// \brief The arc with the given index.
 		    ///
 		    /// This function returns the arc with the given index.
 		    /// \sa index()
 		    static Arc arc(int ix) { return Parent::arcFromId(ix); }
 		    /// \brief The index of the given node.
 		    ///
 		    /// This function returns the index of the the given node.
 		    /// \sa node()
 		    static int index(Node node) { return Parent::id(node); }
 		    /// \brief The index of the given arc.
 		    ///
 		    /// This function returns the index of the the given arc.
 		    /// \sa arc()
 		    static int index(Arc arc) { return Parent::id(arc); }
 		    /// \brief Number of nodes.
 		    ///
 		    /// This function returns the number of nodes.
 		    int nodeNum() const { return node_num; }
 		    /// \brief Number of arcs.
 		    ///
 		    /// This function returns the number of arcs.
 		    int arcNum() const { return arc_num; }
 		    /// \brief Build the digraph copying another digraph.
 		    ///
 		    /// This function builds the digraph copying another digraph of any
 		    /// kind. It can be called more than once, but in such case, the whole
 		    /// structure and all maps will be cleared and rebuilt.
 		    ///
 		    /// This method also makes possible to copy a digraph to a StaticDigraph
 		    /// structure using \ref DigraphCopy.
 		    ///
 		    /// \param digraph An existing digraph to be copied.
 		    /// \param nodeRef The node references will be copied into this map.
 		    /// Its key type must be \c Digraph::Node and its value type must be
 		    /// \c StaticDigraph::Node.
 		    /// It must conform to the \ref concepts::ReadWriteMap "ReadWriteMap"
 		    /// concept.
 		    /// \param arcRef The arc references will be copied into this map.
 		    /// Its key type must be \c Digraph::Arc and its value type must be
 		    /// \c StaticDigraph::Arc.
 		    /// It must conform to the \ref concepts::WriteMap "WriteMap" concept.
 		    ///
 		    /// \note If you do not need the arc references, then you could use
 		    /// \ref NullMap for the last parameter. However the node references
 		    /// are required by the function itself, thus they must be readable
 		    /// from the map.
 		    template <typename Digraph, typename NodeRefMap, typename ArcRefMap>
 		    void build(const Digraph& digraph, NodeRefMap& nodeRef, ArcRefMap& arcRef) {
 		      if (built) Parent::clear();
 		      Parent::build(digraph, nodeRef, arcRef);
+		    }
 		    /// \brief Build the digraph from an arc list.
 		    ///
 		    /// This function builds the digraph from the given arc list.
 		    /// It can be called more than once, but in such case, the whole
 		    /// structure and all maps will be cleared and rebuilt.
 		    ///
 		    /// The list of the arcs must be given in the range <tt>[begin, end)</tt>
 		    /// specified by STL compatible itartors whose \c value_type must be
 		    /// <tt>std::pair<int,int></tt>.
 		    /// Each arc must be specified by a pair of integer indices
 		    /// from the range <tt>[0..n-1]</tt>. <i>The pairs must be in a
 		    /// non-decreasing order with respect to their first values.</i>
 		    /// If the k-th pair in the list is <tt>(i,j)</tt>, then
 		    /// <tt>arc(k-1)</tt> will connect <tt>node(i)</tt> to <tt>node(j)</tt>.
 		    ///
 		    /// \param n The number of nodes.
 		    /// \param begin An iterator pointing to the beginning of the arc list.
 		    /// \param end An iterator pointing to the end of the arc list.
 		    ///
 		    /// For example, a simple digraph can be constructed like this.
 		    /// \code
 		    ///   std::vector<std::pair<int,int> > arcs;
 		    ///   arcs.push_back(std::make_pair(0,1));
 		    ///   arcs.push_back(std::make_pair(0,2));
 		    ///   arcs.push_back(std::make_pair(1,3));
 		    ///   arcs.push_back(std::make_pair(1,2));
 		    ///   arcs.push_back(std::make_pair(3,0));
 		    ///   StaticDigraph gr;
 		    ///   gr.build(4, arcs.begin(), arcs.end());
 		    /// \endcode
 		    template <typename ArcListIterator>
 		    void build(int n, ArcListIterator begin, ArcListIterator end) {
 		      if (built) Parent::clear();
 		      StaticDigraphBase::build(n, begin, end);
 		      notifier(Node()).build();
 		      notifier(Arc()).build();
+		    }
 		    /// \brief Clear the digraph.
 		    ///
 		    /// This function erases all nodes and arcs from the digraph.
 		    void clear() {
 		      Parent::clear();
+		    }
 		  protected:
 		    using Parent::fastFirstOut;
 		    using Parent::fastNextOut;
 		    using Parent::fastLastOut;
 		  public:
 		    class OutArcIt : public Arc {
 		    public:
 		      OutArcIt() { }
 		      OutArcIt(Invalid i) : Arc(i) { }
 		      OutArcIt(const StaticDigraph& digraph, const Node& node) {
 			digraph.fastFirstOut(*this, node);
 			digraph.fastLastOut(last, node);
 		        if (last == *this) *this = INVALID;
+		      }
 		      OutArcIt(const StaticDigraph& digraph, const Arc& arc) : Arc(arc) {
 		        if (arc != INVALID) {
 		          digraph.fastLastOut(last, digraph.source(arc));
+		        }
+		      }
 		      OutArcIt& operator++() {
 		        StaticDigraph::fastNextOut(*this);
 		        if (last == *this) *this = INVALID;
 		        return *this;
+		      }
 		    private:
 		      Arc last;
 		    };
 		    Node baseNode(const OutArcIt &arc) const {
 		      return Parent::source(static_cast<const Arc&>(arc));
+		    }
 		    Node runningNode(const OutArcIt &arc) const {
 		      return Parent::target(static_cast<const Arc&>(arc));
+		    }
 		    Node baseNode(const InArcIt &arc) const {
 		      return Parent::target(static_cast<const Arc&>(arc));
+		    }
 		    Node runningNode(const InArcIt &arc) const {
 		      return Parent::source(static_cast<const Arc&>(arc));
+		    }
 		  };
+		}
 		#endif

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