/* -*- 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> {

    public:

      typedef typename DGR::template NodeMap<V> Parent;

      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> {

    public:

      typedef typename DGR::template ArcMap<V> Parent;

      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> {

    public:

      typedef typename GR::template NodeMap<V> Parent;

      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> {

    public:

      typedef typename GR::template ArcMap<V> Parent;

      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> {

    public:

      typedef typename GR::template EdgeMap<V> Parent;

      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> {

  public:

    typedef DGR Digraph;

    typedef DigraphAdaptorBase<DGR> Parent;

  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.

  ///

  /// \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

  public:

    /// The type of the adapted digraph.

    typedef DGR Digraph;

    typedef DigraphAdaptorExtender<ReverseDigraphBase<DGR> > Parent;

  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> {

  public:

    typedef DGR Digraph;

    typedef NF NodeFilterMap;

    typedef AF ArcFilterMap;

    typedef SubDigraphBase Adaptor;

    typedef DigraphAdaptorBase<DGR> Parent;

  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>)> {

    public:

      typedef V Value;

      typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>,

	    LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> Parent;

      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>)> {

    public:

      typedef V Value;

      typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>,

        LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> Parent;

      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> {

  public:

    typedef DGR Digraph;

    typedef NF NodeFilterMap;

    typedef AF ArcFilterMap;

    typedef SubDigraphBase Adaptor;

    typedef DigraphAdaptorBase<Digraph> Parent;

  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>)> {

    public:

      typedef V Value;

      typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, false>, 

        LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> Parent;

      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>)> {

    public:

      typedef V Value;

      typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, false>,

          LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> Parent;

      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.

  ///

  /// \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> {

  public:

    typedef GR Graph;

    typedef NF NodeFilterMap;

    typedef EF EdgeFilterMap;

    typedef SubGraphBase Adaptor;

    typedef GraphAdaptorBase<GR> Parent;

  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]) {