lemon/bits/edge_set_extender.h
author Peter Kovacs <kpeter@inf.elte.hu>
Fri, 17 Apr 2009 18:04:36 +0200
changeset 609 e6927fe719e6
parent 468 68fe66e2b34a
child 559 c5fd2d996909
permissions -rw-r--r--
Support >= and <= constraints in NetworkSimplex (#219, #234)

By default the same inequality constraints are supported as by
Circulation (the GEQ form), but the LEQ form can also be selected
using the problemType() function.

The documentation of the min. cost flow module is reworked and
extended with important notes and explanations about the different
variants of the problem and about the dual solution and optimality
conditions.
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/* -*- C++ -*-
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 *
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 * This file is a part of LEMON, a generic C++ optimization library
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 *
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 * Copyright (C) 2003-2008
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 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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 * (Egervary Research Group on Combinatorial Optimization, EGRES).
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 *
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 * Permission to use, modify and distribute this software is granted
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 * provided that this copyright notice appears in all copies. For
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 * precise terms see the accompanying LICENSE file.
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 *
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 * This software is provided "AS IS" with no warranty of any kind,
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 * express or implied, and with no claim as to its suitability for any
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 * purpose.
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 *
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 */
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#ifndef LEMON_BITS_EDGE_SET_EXTENDER_H
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#define LEMON_BITS_EDGE_SET_EXTENDER_H
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#include <lemon/core.h>
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#include <lemon/error.h>
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#include <lemon/bits/default_map.h>
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#include <lemon/bits/map_extender.h>
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///\ingroup digraphbits
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///\file
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///\brief Extenders for the arc set types
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namespace lemon {
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  /// \ingroup digraphbits
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  ///
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  /// \brief Extender for the ArcSets
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  template <typename Base>
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  class ArcSetExtender : public Base {
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  public:
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    typedef Base Parent;
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    typedef ArcSetExtender Digraph;
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    // Base extensions
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    typedef typename Parent::Node Node;
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    typedef typename Parent::Arc Arc;
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    int maxId(Node) const {
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      return Parent::maxNodeId();
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    }
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    int maxId(Arc) const {
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      return Parent::maxArcId();
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    }
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    Node fromId(int id, Node) const {
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      return Parent::nodeFromId(id);
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    }
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    Arc fromId(int id, Arc) const {
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      return Parent::arcFromId(id);
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    }
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    Node oppositeNode(const Node &n, const Arc &e) const {
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      if (n == Parent::source(e))
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	return Parent::target(e);
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      else if(n==Parent::target(e))
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	return Parent::source(e);
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      else
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	return INVALID;
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    }
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    // Alteration notifier extensions
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    /// The arc observer registry.
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    typedef AlterationNotifier<ArcSetExtender, Arc> ArcNotifier;
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  protected:
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    mutable ArcNotifier arc_notifier;
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  public:
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    using Parent::notifier;
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    /// \brief Gives back the arc alteration notifier.
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    ///
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    /// Gives back the arc alteration notifier.
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    ArcNotifier& notifier(Arc) const {
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      return arc_notifier;
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    }
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    // Iterable extensions
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    class NodeIt : public Node { 
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      const Digraph* digraph;
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    public:
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      NodeIt() {}
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      NodeIt(Invalid i) : Node(i) { }
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      explicit NodeIt(const Digraph& _graph) : digraph(&_graph) {
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	_graph.first(static_cast<Node&>(*this));
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      }
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      NodeIt(const Digraph& _graph, const Node& node) 
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	: Node(node), digraph(&_graph) {}
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      NodeIt& operator++() { 
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	digraph->next(*this);
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	return *this; 
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      }
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    };
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    class ArcIt : public Arc { 
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      const Digraph* digraph;
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    public:
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      ArcIt() { }
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      ArcIt(Invalid i) : Arc(i) { }
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      explicit ArcIt(const Digraph& _graph) : digraph(&_graph) {
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	_graph.first(static_cast<Arc&>(*this));
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      }
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      ArcIt(const Digraph& _graph, const Arc& e) : 
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	Arc(e), digraph(&_graph) { }
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      ArcIt& operator++() { 
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	digraph->next(*this);
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	return *this; 
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      }
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    };
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    class OutArcIt : public Arc { 
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      const Digraph* digraph;
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    public:
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      OutArcIt() { }
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      OutArcIt(Invalid i) : Arc(i) { }
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      OutArcIt(const Digraph& _graph, const Node& node) 
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	: digraph(&_graph) {
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	_graph.firstOut(*this, node);
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      }
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      OutArcIt(const Digraph& _graph, const Arc& arc) 
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	: Arc(arc), digraph(&_graph) {}
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      OutArcIt& operator++() { 
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	digraph->nextOut(*this);
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	return *this; 
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      }
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    };
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    class InArcIt : public Arc { 
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      const Digraph* digraph;
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    public:
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      InArcIt() { }
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      InArcIt(Invalid i) : Arc(i) { }
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      InArcIt(const Digraph& _graph, const Node& node) 
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	: digraph(&_graph) {
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	_graph.firstIn(*this, node);
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      }
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      InArcIt(const Digraph& _graph, const Arc& arc) : 
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	Arc(arc), digraph(&_graph) {}
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      InArcIt& operator++() { 
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	digraph->nextIn(*this);
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	return *this; 
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      }
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    };
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    /// \brief Base node of the iterator
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    ///
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    /// Returns the base node (ie. the source in this case) of the iterator
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    Node baseNode(const OutArcIt &e) const {
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      return Parent::source(static_cast<const Arc&>(e));
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    }
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    /// \brief Running node of the iterator
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    ///
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    /// Returns the running node (ie. the target in this case) of the
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    /// iterator
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    Node runningNode(const OutArcIt &e) const {
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      return Parent::target(static_cast<const Arc&>(e));
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    }
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    /// \brief Base node of the iterator
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    ///
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    /// Returns the base node (ie. the target in this case) of the iterator
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    Node baseNode(const InArcIt &e) const {
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      return Parent::target(static_cast<const Arc&>(e));
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    }
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    /// \brief Running node of the iterator
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    ///
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    /// Returns the running node (ie. the source in this case) of the
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    /// iterator
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    Node runningNode(const InArcIt &e) const {
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      return Parent::source(static_cast<const Arc&>(e));
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    }
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    using Parent::first;
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    // Mappable extension
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    template <typename _Value>
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    class ArcMap 
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      : public MapExtender<DefaultMap<Digraph, Arc, _Value> > {
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    public:
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      typedef ArcSetExtender Digraph;
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      typedef MapExtender<DefaultMap<Digraph, Arc, _Value> > Parent;
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      explicit ArcMap(const Digraph& _g) 
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	: Parent(_g) {}
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      ArcMap(const Digraph& _g, const _Value& _v) 
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	: Parent(_g, _v) {}
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      ArcMap& operator=(const ArcMap& cmap) {
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	return operator=<ArcMap>(cmap);
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      }
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      template <typename CMap>
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      ArcMap& operator=(const CMap& cmap) {
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        Parent::operator=(cmap);
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	return *this;
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      }
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    };
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    // Alteration extension
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    Arc addArc(const Node& from, const Node& to) {
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      Arc arc = Parent::addArc(from, to);
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      notifier(Arc()).add(arc);
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      return arc;
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    }
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    void clear() {
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      notifier(Arc()).clear();
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      Parent::clear();
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    }
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    void erase(const Arc& arc) {
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      notifier(Arc()).erase(arc);
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      Parent::erase(arc);
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    }
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    ArcSetExtender() {
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      arc_notifier.setContainer(*this);
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    }
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    ~ArcSetExtender() {
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      arc_notifier.clear();
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    }
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  };
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  /// \ingroup digraphbits
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  ///
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  /// \brief Extender for the EdgeSets
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  template <typename Base>
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  class EdgeSetExtender : public Base {
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  public:
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    typedef Base Parent;
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    typedef EdgeSetExtender Digraph;
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    typedef typename Parent::Node Node;
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    typedef typename Parent::Arc Arc;
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    typedef typename Parent::Edge Edge;
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    int maxId(Node) const {
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      return Parent::maxNodeId();
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    }
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    int maxId(Arc) const {
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      return Parent::maxArcId();
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    }
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    int maxId(Edge) const {
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      return Parent::maxEdgeId();
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    }
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    Node fromId(int id, Node) const {
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      return Parent::nodeFromId(id);
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    }
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    Arc fromId(int id, Arc) const {
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      return Parent::arcFromId(id);
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    }
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    Edge fromId(int id, Edge) const {
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      return Parent::edgeFromId(id);
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    }
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    Node oppositeNode(const Node &n, const Edge &e) const {
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      if( n == Parent::u(e))
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	return Parent::v(e);
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      else if( n == Parent::v(e))
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	return Parent::u(e);
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      else
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	return INVALID;
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    }
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    Arc oppositeArc(const Arc &e) const {
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      return Parent::direct(e, !Parent::direction(e));
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    }
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    using Parent::direct;
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    Arc direct(const Edge &e, const Node &s) const {
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      return Parent::direct(e, Parent::u(e) == s);
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    }
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    typedef AlterationNotifier<EdgeSetExtender, Arc> ArcNotifier;
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    typedef AlterationNotifier<EdgeSetExtender, Edge> EdgeNotifier;
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  protected:
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    mutable ArcNotifier arc_notifier;
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    mutable EdgeNotifier edge_notifier;
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  public:
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    using Parent::notifier;
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    ArcNotifier& notifier(Arc) const {
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      return arc_notifier;
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    }
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    EdgeNotifier& notifier(Edge) const {
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      return edge_notifier;
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    }
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    class NodeIt : public Node { 
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      const Digraph* digraph;
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    public:
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      NodeIt() {}
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      NodeIt(Invalid i) : Node(i) { }
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      explicit NodeIt(const Digraph& _graph) : digraph(&_graph) {
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	_graph.first(static_cast<Node&>(*this));
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      }
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      NodeIt(const Digraph& _graph, const Node& node) 
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	: Node(node), digraph(&_graph) {}
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      NodeIt& operator++() { 
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	digraph->next(*this);
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	return *this; 
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      }
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    };
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    class ArcIt : public Arc { 
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      const Digraph* digraph;
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    public:
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      ArcIt() { }
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      ArcIt(Invalid i) : Arc(i) { }
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      explicit ArcIt(const Digraph& _graph) : digraph(&_graph) {
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	_graph.first(static_cast<Arc&>(*this));
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      }
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      ArcIt(const Digraph& _graph, const Arc& e) : 
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	Arc(e), digraph(&_graph) { }
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      ArcIt& operator++() { 
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	digraph->next(*this);
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	return *this; 
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      }
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    };
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    class OutArcIt : public Arc { 
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      const Digraph* digraph;
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    public:
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      OutArcIt() { }
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      OutArcIt(Invalid i) : Arc(i) { }
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      OutArcIt(const Digraph& _graph, const Node& node) 
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	: digraph(&_graph) {
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	_graph.firstOut(*this, node);
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      }
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      OutArcIt(const Digraph& _graph, const Arc& arc) 
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	: Arc(arc), digraph(&_graph) {}
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      OutArcIt& operator++() { 
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	digraph->nextOut(*this);
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	return *this; 
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      }
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    };
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    class InArcIt : public Arc { 
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      const Digraph* digraph;
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    public:
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      InArcIt() { }
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      InArcIt(Invalid i) : Arc(i) { }
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      InArcIt(const Digraph& _graph, const Node& node) 
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	: digraph(&_graph) {
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	_graph.firstIn(*this, node);
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      }
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      InArcIt(const Digraph& _graph, const Arc& arc) : 
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	Arc(arc), digraph(&_graph) {}
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      InArcIt& operator++() { 
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	digraph->nextIn(*this);
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	return *this; 
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      }
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    };
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    class EdgeIt : public Parent::Edge { 
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      const Digraph* digraph;
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    public:
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      EdgeIt() { }
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      EdgeIt(Invalid i) : Edge(i) { }
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      explicit EdgeIt(const Digraph& _graph) : digraph(&_graph) {
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	_graph.first(static_cast<Edge&>(*this));
deba@468
   458
      }
deba@468
   459
deba@468
   460
      EdgeIt(const Digraph& _graph, const Edge& e) : 
deba@468
   461
	Edge(e), digraph(&_graph) { }
deba@468
   462
deba@468
   463
      EdgeIt& operator++() { 
deba@468
   464
	digraph->next(*this);
deba@468
   465
	return *this; 
deba@468
   466
      }
deba@468
   467
deba@468
   468
    };
deba@468
   469
deba@468
   470
    class IncEdgeIt : public Parent::Edge {
deba@468
   471
      friend class EdgeSetExtender;
deba@468
   472
      const Digraph* digraph;
deba@468
   473
      bool direction;
deba@468
   474
    public:
deba@468
   475
deba@468
   476
      IncEdgeIt() { }
deba@468
   477
deba@468
   478
      IncEdgeIt(Invalid i) : Edge(i), direction(false) { }
deba@468
   479
deba@468
   480
      IncEdgeIt(const Digraph& _graph, const Node &n) : digraph(&_graph) {
deba@468
   481
	_graph.firstInc(*this, direction, n);
deba@468
   482
      }
deba@468
   483
deba@468
   484
      IncEdgeIt(const Digraph& _graph, const Edge &ue, const Node &n)
deba@468
   485
	: digraph(&_graph), Edge(ue) {
deba@468
   486
	direction = (_graph.source(ue) == n);
deba@468
   487
      }
deba@468
   488
deba@468
   489
      IncEdgeIt& operator++() {
deba@468
   490
	digraph->nextInc(*this, direction);
deba@468
   491
	return *this; 
deba@468
   492
      }
deba@468
   493
    };
deba@468
   494
deba@468
   495
    /// \brief Base node of the iterator
deba@468
   496
    ///
deba@468
   497
    /// Returns the base node (ie. the source in this case) of the iterator
deba@468
   498
    Node baseNode(const OutArcIt &e) const {
deba@468
   499
      return Parent::source(static_cast<const Arc&>(e));
deba@468
   500
    }
deba@468
   501
    /// \brief Running node of the iterator
deba@468
   502
    ///
deba@468
   503
    /// Returns the running node (ie. the target in this case) of the
deba@468
   504
    /// iterator
deba@468
   505
    Node runningNode(const OutArcIt &e) const {
deba@468
   506
      return Parent::target(static_cast<const Arc&>(e));
deba@468
   507
    }
deba@468
   508
deba@468
   509
    /// \brief Base node of the iterator
deba@468
   510
    ///
deba@468
   511
    /// Returns the base node (ie. the target in this case) of the iterator
deba@468
   512
    Node baseNode(const InArcIt &e) const {
deba@468
   513
      return Parent::target(static_cast<const Arc&>(e));
deba@468
   514
    }
deba@468
   515
    /// \brief Running node of the iterator
deba@468
   516
    ///
deba@468
   517
    /// Returns the running node (ie. the source in this case) of the
deba@468
   518
    /// iterator
deba@468
   519
    Node runningNode(const InArcIt &e) const {
deba@468
   520
      return Parent::source(static_cast<const Arc&>(e));
deba@468
   521
    }
deba@468
   522
deba@468
   523
    /// Base node of the iterator
deba@468
   524
    ///
deba@468
   525
    /// Returns the base node of the iterator
deba@468
   526
    Node baseNode(const IncEdgeIt &e) const {
deba@468
   527
      return e.direction ? u(e) : v(e);
deba@468
   528
    }
deba@468
   529
    /// Running node of the iterator
deba@468
   530
    ///
deba@468
   531
    /// Returns the running node of the iterator
deba@468
   532
    Node runningNode(const IncEdgeIt &e) const {
deba@468
   533
      return e.direction ? v(e) : u(e);
deba@468
   534
    }
deba@468
   535
deba@468
   536
deba@468
   537
    template <typename _Value>
deba@468
   538
    class ArcMap 
deba@468
   539
      : public MapExtender<DefaultMap<Digraph, Arc, _Value> > {
deba@468
   540
    public:
deba@468
   541
      typedef EdgeSetExtender Digraph;
deba@468
   542
      typedef MapExtender<DefaultMap<Digraph, Arc, _Value> > Parent;
deba@468
   543
deba@468
   544
      ArcMap(const Digraph& _g) 
deba@468
   545
	: Parent(_g) {}
deba@468
   546
      ArcMap(const Digraph& _g, const _Value& _v) 
deba@468
   547
	: Parent(_g, _v) {}
deba@468
   548
deba@468
   549
      ArcMap& operator=(const ArcMap& cmap) {
deba@468
   550
	return operator=<ArcMap>(cmap);
deba@468
   551
      }
deba@468
   552
deba@468
   553
      template <typename CMap>
deba@468
   554
      ArcMap& operator=(const CMap& cmap) {
deba@468
   555
        Parent::operator=(cmap);
deba@468
   556
	return *this;
deba@468
   557
      }
deba@468
   558
deba@468
   559
    };
deba@468
   560
deba@468
   561
deba@468
   562
    template <typename _Value>
deba@468
   563
    class EdgeMap 
deba@468
   564
      : public MapExtender<DefaultMap<Digraph, Edge, _Value> > {
deba@468
   565
    public:
deba@468
   566
      typedef EdgeSetExtender Digraph;
deba@468
   567
      typedef MapExtender<DefaultMap<Digraph, Edge, _Value> > Parent;
deba@468
   568
deba@468
   569
      EdgeMap(const Digraph& _g) 
deba@468
   570
	: Parent(_g) {}
deba@468
   571
deba@468
   572
      EdgeMap(const Digraph& _g, const _Value& _v) 
deba@468
   573
	: Parent(_g, _v) {}
deba@468
   574
deba@468
   575
      EdgeMap& operator=(const EdgeMap& cmap) {
deba@468
   576
	return operator=<EdgeMap>(cmap);
deba@468
   577
      }
deba@468
   578
deba@468
   579
      template <typename CMap>
deba@468
   580
      EdgeMap& operator=(const CMap& cmap) {
deba@468
   581
        Parent::operator=(cmap);
deba@468
   582
	return *this;
deba@468
   583
      }
deba@468
   584
deba@468
   585
    };
deba@468
   586
deba@468
   587
deba@468
   588
    // Alteration extension
deba@468
   589
deba@468
   590
    Edge addEdge(const Node& from, const Node& to) {
deba@468
   591
      Edge edge = Parent::addEdge(from, to);
deba@468
   592
      notifier(Edge()).add(edge);
deba@468
   593
      std::vector<Arc> arcs;
deba@468
   594
      arcs.push_back(Parent::direct(edge, true));
deba@468
   595
      arcs.push_back(Parent::direct(edge, false));
deba@468
   596
      notifier(Arc()).add(arcs);
deba@468
   597
      return edge;
deba@468
   598
    }
deba@468
   599
    
deba@468
   600
    void clear() {
deba@468
   601
      notifier(Arc()).clear();
deba@468
   602
      notifier(Edge()).clear();
deba@468
   603
      Parent::clear();
deba@468
   604
    }
deba@468
   605
deba@468
   606
    void erase(const Edge& edge) {
deba@468
   607
      std::vector<Arc> arcs;
deba@468
   608
      arcs.push_back(Parent::direct(edge, true));
deba@468
   609
      arcs.push_back(Parent::direct(edge, false));
deba@468
   610
      notifier(Arc()).erase(arcs);
deba@468
   611
      notifier(Edge()).erase(edge);
deba@468
   612
      Parent::erase(edge);
deba@468
   613
    }
deba@468
   614
deba@468
   615
deba@468
   616
    EdgeSetExtender() {
deba@468
   617
      arc_notifier.setContainer(*this);
deba@468
   618
      edge_notifier.setContainer(*this);
deba@468
   619
    }
deba@468
   620
deba@468
   621
    ~EdgeSetExtender() {
deba@468
   622
      edge_notifier.clear();
deba@468
   623
      arc_notifier.clear();
deba@468
   624
    }
deba@468
   625
    
deba@468
   626
  };
deba@468
   627
deba@468
   628
}
deba@468
   629
deba@468
   630
#endif