lemon/concepts/path.h
author Peter Kovacs <kpeter@inf.elte.hu>
Tue, 24 Mar 2009 00:18:25 +0100
changeset 596 8c3112a66878
parent 440 88ed40ad0d4f
child 550 c5fd2d996909
permissions -rw-r--r--
Use XTI implementation instead of ATI in NetworkSimplex (#234)

XTI (eXtended Threaded Index) is an imporved version of the widely
known ATI (Augmented Threaded Index) method for storing and updating
the spanning tree structure in Network Simplex algorithms.

In the ATI data structure three indices are stored for each node:
predecessor, thread and depth. In the XTI data structure depth is
replaced by the number of successors and the last successor
(according to the thread index).
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/* -*- mode: C++; indent-tabs-mode: nil; -*-
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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) 2003-2009
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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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///\ingroup concept
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///\file
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///\brief Classes for representing paths in digraphs.
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///
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#ifndef LEMON_CONCEPTS_PATH_H
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#define LEMON_CONCEPTS_PATH_H
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#include <lemon/core.h>
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#include <lemon/concept_check.h>
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namespace lemon {
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  namespace concepts {
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    /// \addtogroup concept
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    /// @{
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    /// \brief A skeleton structure for representing directed paths in
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    /// a digraph.
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    ///
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    /// A skeleton structure for representing directed paths in a
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    /// digraph.
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    /// \tparam _Digraph The digraph type in which the path is.
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    ///
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    /// In a sense, the path can be treated as a list of arcs. The
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    /// lemon path type stores just this list. As a consequence it
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    /// cannot enumerate the nodes in the path and the zero length
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    /// paths cannot store the source.
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    ///
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    template <typename _Digraph>
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    class Path {
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    public:
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      /// Type of the underlying digraph.
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      typedef _Digraph Digraph;
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      /// Arc type of the underlying digraph.
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      typedef typename Digraph::Arc Arc;
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      class ArcIt;
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      /// \brief Default constructor
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      Path() {}
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      /// \brief Template constructor
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      template <typename CPath>
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      Path(const CPath& cpath) {}
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      /// \brief Template assigment
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      template <typename CPath>
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      Path& operator=(const CPath& cpath) {
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        ignore_unused_variable_warning(cpath);
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        return *this;
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      }
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      /// Length of the path ie. the number of arcs in the path.
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      int length() const { return 0;}
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      /// Returns whether the path is empty.
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      bool empty() const { return true;}
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      /// Resets the path to an empty path.
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      void clear() {}
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      /// \brief LEMON style iterator for path arcs
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      ///
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      /// This class is used to iterate on the arcs of the paths.
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      class ArcIt {
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      public:
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        /// Default constructor
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        ArcIt() {}
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        /// Invalid constructor
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        ArcIt(Invalid) {}
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        /// Constructor for first arc
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        ArcIt(const Path &) {}
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        /// Conversion to Arc
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        operator Arc() const { return INVALID; }
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        /// Next arc
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        ArcIt& operator++() {return *this;}
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        /// Comparison operator
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        bool operator==(const ArcIt&) const {return true;}
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        /// Comparison operator
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        bool operator!=(const ArcIt&) const {return true;}
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        /// Comparison operator
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        bool operator<(const ArcIt&) const {return false;}
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      };
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      template <typename _Path>
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      struct Constraints {
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        void constraints() {
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          Path<Digraph> pc;
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          _Path p, pp(pc);
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          int l = p.length();
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          int e = p.empty();
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          p.clear();
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          p = pc;
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          typename _Path::ArcIt id, ii(INVALID), i(p);
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          ++i;
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          typename Digraph::Arc ed = i;
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          e = (i == ii);
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          e = (i != ii);
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          e = (i < ii);
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          ignore_unused_variable_warning(l);
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          ignore_unused_variable_warning(pp);
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          ignore_unused_variable_warning(e);
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          ignore_unused_variable_warning(id);
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          ignore_unused_variable_warning(ii);
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          ignore_unused_variable_warning(ed);
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        }
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      };
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    };
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    namespace _path_bits {
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      template <typename _Digraph, typename _Path, typename RevPathTag = void>
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      struct PathDumperConstraints {
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        void constraints() {
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          int l = p.length();
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          int e = p.empty();
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          typename _Path::ArcIt id, i(p);
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          ++i;
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          typename _Digraph::Arc ed = i;
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          e = (i == INVALID);
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          e = (i != INVALID);
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          ignore_unused_variable_warning(l);
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          ignore_unused_variable_warning(e);
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          ignore_unused_variable_warning(id);
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          ignore_unused_variable_warning(ed);
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        }
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        _Path& p;
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      };
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      template <typename _Digraph, typename _Path>
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      struct PathDumperConstraints<
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        _Digraph, _Path,
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        typename enable_if<typename _Path::RevPathTag, void>::type
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      > {
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        void constraints() {
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          int l = p.length();
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          int e = p.empty();
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          typename _Path::RevArcIt id, i(p);
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          ++i;
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          typename _Digraph::Arc ed = i;
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          e = (i == INVALID);
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          e = (i != INVALID);
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          ignore_unused_variable_warning(l);
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          ignore_unused_variable_warning(e);
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          ignore_unused_variable_warning(id);
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          ignore_unused_variable_warning(ed);
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        }
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        _Path& p;
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      };
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    }
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    /// \brief A skeleton structure for path dumpers.
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    ///
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    /// A skeleton structure for path dumpers. The path dumpers are
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    /// the generalization of the paths. The path dumpers can
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    /// enumerate the arcs of the path wheter in forward or in
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    /// backward order.  In most time these classes are not used
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    /// directly rather it used to assign a dumped class to a real
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    /// path type.
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    ///
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    /// The main purpose of this concept is that the shortest path
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    /// algorithms can enumerate easily the arcs in reverse order.
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    /// If we would like to give back a real path from these
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    /// algorithms then we should create a temporarly path object. In
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    /// LEMON such algorithms gives back a path dumper what can
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    /// assigned to a real path and the dumpers can be implemented as
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    /// an adaptor class to the predecessor map.
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    /// \tparam _Digraph  The digraph type in which the path is.
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    ///
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    /// The paths can be constructed from any path type by a
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    /// template constructor or a template assignment operator.
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    ///
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    template <typename _Digraph>
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    class PathDumper {
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    public:
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      /// Type of the underlying digraph.
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      typedef _Digraph Digraph;
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      /// Arc type of the underlying digraph.
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      typedef typename Digraph::Arc Arc;
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      /// Length of the path ie. the number of arcs in the path.
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      int length() const { return 0;}
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      /// Returns whether the path is empty.
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      bool empty() const { return true;}
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      /// \brief Forward or reverse dumping
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      ///
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      /// If the RevPathTag is defined and true then reverse dumping
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      /// is provided in the path dumper. In this case instead of the
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      /// ArcIt the RevArcIt iterator should be implemented in the
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      /// dumper.
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      typedef False RevPathTag;
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      /// \brief LEMON style iterator for path arcs
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      ///
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      /// This class is used to iterate on the arcs of the paths.
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      class ArcIt {
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      public:
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        /// Default constructor
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        ArcIt() {}
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        /// Invalid constructor
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        ArcIt(Invalid) {}
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        /// Constructor for first arc
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        ArcIt(const PathDumper&) {}
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        /// Conversion to Arc
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        operator Arc() const { return INVALID; }
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        /// Next arc
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        ArcIt& operator++() {return *this;}
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        /// Comparison operator
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        bool operator==(const ArcIt&) const {return true;}
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        /// Comparison operator
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        bool operator!=(const ArcIt&) const {return true;}
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        /// Comparison operator
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        bool operator<(const ArcIt&) const {return false;}
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      };
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      /// \brief LEMON style iterator for path arcs
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      ///
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      /// This class is used to iterate on the arcs of the paths in
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      /// reverse direction.
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      class RevArcIt {
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      public:
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        /// Default constructor
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        RevArcIt() {}
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        /// Invalid constructor
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        RevArcIt(Invalid) {}
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        /// Constructor for first arc
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        RevArcIt(const PathDumper &) {}
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        /// Conversion to Arc
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        operator Arc() const { return INVALID; }
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        /// Next arc
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        RevArcIt& operator++() {return *this;}
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        /// Comparison operator
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        bool operator==(const RevArcIt&) const {return true;}
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        /// Comparison operator
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        bool operator!=(const RevArcIt&) const {return true;}
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        /// Comparison operator
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        bool operator<(const RevArcIt&) const {return false;}
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      };
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      template <typename _Path>
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      struct Constraints {
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        void constraints() {
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          function_requires<_path_bits::
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            PathDumperConstraints<Digraph, _Path> >();
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        }
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      };
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    };
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    ///@}
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  }
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} // namespace lemon
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#endif